Finite Group Databasebeta

← #33994606

Subgroups — #33994606

Order 18688.

8042 conjugacy classes of subgroups.

The subgroup lattice has 2666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624253C212yesmaximal, complemented
2#22624249C212yesmaximal, complemented
3#22624236C214yesmaximal, complemented
4#22624168C212yesmaximal, complemented
5#22624166C211yesmaximal, characteristic, complemented
6#22624158C211yesmaximal, characteristic, complemented
7#22624153C211yesmaximal, characteristic, complemented
8#22624152C212yesmaximal, complemented
9#22624122C212yesmaximal, complemented
10#22624118C212yesmaximal, complemented
11#22624112C214yesmaximal, complemented
12#22623956C212yesmaximal, complemented
13#22623954C212yesmaximal, complemented
14#22623950C214yesmaximal, complemented
15#22623769C212yesmaximal, complemented
16#22623760C212yesmaximal, complemented
17#22623692C212yesmaximal, complemented
18#22623687C212yesmaximal, complemented
19#22623662C212yesmaximal, complemented
20#22623658C212yesmaximal, complemented
21#22623635C212yesmaximal, complemented
22#22623619C212yesmaximal, complemented
23#22623617C212yesmaximal, complemented
24#22623598C212yesmaximal, complemented
25#22623591C212yesmaximal, complemented
26#22623559C214yesmaximal, complemented
27#22623559C212yesmaximal, complemented
28C2×#17989097C211yesmaximal, characteristic, complemented
29#525×D73C211yesmaximal, characteristic, complemented
30C2×#121×D73C211yesmaximal, characteristic, complemented
31C73×#3537C211yesmaximal, characteristic, complemented
32C2×#14556636C2212yescomplemented
33C2×#14556636C2214yescomplemented
34C22×#11924027C2211yescharacteristic, complemented
35C2×#41×D73C2211yescharacteristic, complemented
36C22×D4×D73C2211yescharacteristic, complemented
37C22×D4×D73C2212yescomplemented
38C23×C4×D73C2211yescharacteristic, complemented
39#17989334C2214yescomplemented
40#17989334C2214yescomplemented
41#17989332C2214yescomplemented
42#17989331C2214yescomplemented
43#17989327C2214yescomplemented
44#17989326C2214yescomplemented
45#17989325C2214yescomplemented
46#17989302C2212yescomplemented
47#17989301C2214yescomplemented
48#17989300C2212yescomplemented
49#17989296C2214yescomplemented
50#17989294C2212yescomplemented
51#17989292C2212yescomplemented
52#17989290C2212yescomplemented
53#17989289C2212yescomplemented
54#17989289C2212yescomplemented
55#17989289C2214yescomplemented
56#17989288C2214yescomplemented
57#17989285C2212yescomplemented
58#17989284C2214yescomplemented
59#17989283C2214yescomplemented
60#17989282C2214yescomplemented
61#17989280C2214yescomplemented
62#17989280C2214yescomplemented
63#17989276C2212yescomplemented
64#17989275C2212yescomplemented
65#17989273C2214yescomplemented
66#17989267C2214yescomplemented
67#17989265C2214yescomplemented
68#17989262C2214yescomplemented
69#17989262C2214yescomplemented
70#17989260C2214yescomplemented
71#17989260C2214yescomplemented
72#17989260C2214yescomplemented
73#17989260C2214yescomplemented
74#17989257C2212yescomplemented
75#17989257C2214yescomplemented
76#17989255C2212yescomplemented
77#17989246C2212yescomplemented
78#17989245C2214yescomplemented
79#17989243C2212yescomplemented
80#17989242C2212yescomplemented
81#17989241C2212yescomplemented
82#17989237C2212yescomplemented
83#17989237C2212yescomplemented
84#17989235C2214yescomplemented
85#17989235C2214yescomplemented
86#17989234C2212yescomplemented
87#17989234C2214yescomplemented
88#17989234C2214yescomplemented
89#17989233C2214yescomplemented
90#17989233C2212yescomplemented
91#17989232C2212yescomplemented
92#17989232C2214yescomplemented
93#17989232C2212yescomplemented
94#17989231C2214yescomplemented
95#17989231C2212yescomplemented
96#17989231C2212yescomplemented
97#17989231C2214yescomplemented
98#17989230C2214yescomplemented
99#17989229C2214yescomplemented
100#17989229C2214yescomplemented
101#17989226C2214yescomplemented
102#17989226C2214yescomplemented
103#17989226C2214yescomplemented
104#17989226C2214yescomplemented
105#17989224C2214yescomplemented
106#17989224C2214yescomplemented
107#17989224C2214yescomplemented
108#17989224C2214yescomplemented
109#17989224C2214yescomplemented
110#17989224C2214yescomplemented
111#17989224C2214yescomplemented
112#17989224C2214yescomplemented
113#17989224C2214yescomplemented
114#17989224C2214yescomplemented
115#17989222C2214yescomplemented
116#17989222C2212yescomplemented
117#17989221C2212yescomplemented
118#17989221C2214yescomplemented
119D4×C22⋊D73C2214yescomplemented
120D4×C22⋊D73C2214yescomplemented
121D4×C22⋊D73C2214yescomplemented
122D4×C22⋊D73C2214yescomplemented
123D4×C22⋊D73C2212yescomplemented
124D4×C22⋊D73C2212yescomplemented
125#17989219C2214yescomplemented
126#17989219C2214yescomplemented
127#17989219C2214yescomplemented
128#17989219C2214yescomplemented
129#17989217C2212yescomplemented
130#17989213C2212yescomplemented
131#17989212C2212yescomplemented
132#17989208C2212yescomplemented
133#17989204C2212yescomplemented
134#17989203C2214yescomplemented
135#17989191C2214yescomplemented
136#17989190C2214yescomplemented
137#17989190C2214yescomplemented
138#17989190C2212yescomplemented
139#17989189C2214yescomplemented
140#17989189C2214yescomplemented
141#17989186C2212yescomplemented
142#17989182C2212yescomplemented
143#17989180C2214yescomplemented
144#17989178C2214yescomplemented
145#17989178C2214yescomplemented
146#17989176C2214yescomplemented
147#17989175C2212yescomplemented
148#17989175C2212yescomplemented
149#17989174C2212yescomplemented
150#17989174C2212yescomplemented
151#17989174C2214yescomplemented
152#17989174C2214yescomplemented
153#17989173C2214yescomplemented
154#17989172C2214yescomplemented
155#17989172C2214yescomplemented
156#17989172C2214yescomplemented
157#17989166C2212yescomplemented
158#17989166C2212yescomplemented
159#17989166C2214yescomplemented
160#17989165C2212yescomplemented
161#17989164C2212yescomplemented
162#17989164C2214yescomplemented
163#17989164C2212yescomplemented
164#17989153C2212yescomplemented
165#17989153C2214yescomplemented
166#17989153C2212yescomplemented
167#17989152C2214yescomplemented
168#17989150C2212yescomplemented
169#17989150C2214yescomplemented
170#17989149C2212yescomplemented
171#17989147C2214yescomplemented
172#17989147C2214yescomplemented
173#17989147C2214yescomplemented
174#17989147C2214yescomplemented
175#17989145C2212yescomplemented
176#17989145C2214yescomplemented
177#17989145C2214yescomplemented
178#17989145C2214yescomplemented
179#17989135C2212yescomplemented
180#17989134C2212yescomplemented
181#17989132C2214yescomplemented
182#17989122C2212yescomplemented
183#17989119C2212yescomplemented
184#17989117C2214yescomplemented
185#17989100C2211yescharacteristic, complemented
186#17989100C2211yescharacteristic, complemented
187#17989099C2211yescharacteristic, complemented
188#17989099C2212yescomplemented
189#17989098C2211yescharacteristic, complemented
190#17989097C2214yescomplemented
191#17989097C2212yescomplemented
192#17989097C2212yescomplemented
193#17989097C2211yescharacteristic, complemented
194#17989097C2212yescomplemented
195#17989097C2212yescomplemented
196#17989097C2212yescomplemented
197#17989097C2212yescomplemented
198#17989097C2211yescharacteristic, complemented
199#17989097C2212yescomplemented
200#17989097C2212yescomplemented
201#17989097C2212yescomplemented
202#17989096C2214yescomplemented
203#17989096C2212yescomplemented
204#17989096C2212yescomplemented
205#17989095C2212yescomplemented
206#17989094C2211yescharacteristic, complemented
207#17989093C2212yescomplemented
208#17989093C2214yescomplemented
209C2×#14556573C2212yescomplemented
210#123×D73C2212yescomplemented
211C2×#14556571C2211yescharacteristic, complemented
212C2×#14556570C2211yescharacteristic, complemented
213C22⋊Q8×D73C2211yescharacteristic, complemented
214C22⋊Q8×D73C2211yescharacteristic, complemented
215C2×#14556566C2211yescharacteristic, complemented
216C2×#14556565C2211yescharacteristic, complemented
217C2×#14556564C2212yescomplemented
218C2×#14556563C2212yescomplemented
219C2×#14556563C2214yescomplemented
220C2×#14556562C2211yescharacteristic, complemented
221C2×#14556562C2211yescharacteristic, complemented
222C2×#14556562C2212yescomplemented
223#121×D73C2212yescomplemented
224#121×D73C2212yescomplemented
225#121×D73C2212yescomplemented
226#121×D73C2212yescomplemented
227#121×D73C2212yescomplemented
228#121×D73C2212yescomplemented
229#121×D73C2212yescomplemented
230#121×D73C2212yescomplemented
231#121×D73C2211yescharacteristic, complemented
232#121×D73C2211yescharacteristic, complemented
233#121×D73C2212yescomplemented
234C2×#14556559C2214yescomplemented
235C2×#14556559C2212yescomplemented
236#120×D73C2214yescomplemented
237#120×D73C2212yescomplemented
238#17989067C2212yescomplemented
239#17989066C2212yescomplemented
240#17989062C2214yescomplemented
241#17989059C2214yescomplemented
242#17989059C2214yescomplemented
243#17989059C2212yescomplemented
244C2×D4×Dic73C2212yescomplemented
245C2×#14556551C2212yescomplemented
246C4×D4×D73C2212yescomplemented
247C4×D4×D73C2212yescomplemented
248C2×#14556549C2211yescharacteristic, complemented
249#117×D73C2211yescharacteristic, complemented
250C2×C4⋊C4×D73C2211yescharacteristic, complemented
251C2×C22⋊C4×D73C2212yescomplemented
252#560×C73C2214yescomplemented
253#553×C73C2212yescomplemented
254#553×C73C2212yescomplemented
255D42×C73C2214yescomplemented
256D42×C73C2212yescomplemented
257D42×C73C2212yescomplemented
258#540×C73C2212yescomplemented
259#538×C73C2212yescomplemented
260#538×C73C2212yescomplemented
261#535×C73C2212yescomplemented
262#534×C73C2212yescomplemented
263#534×C73C2212yescomplemented
264#525×C73C2211yescharacteristic, complemented
265C2×#121×C73C2211yescharacteristic, complemented
266C2×#121×C73C2211yescharacteristic, complemented
267C24×D73C2311yescharacteristic
268C24×D73C2312yes—
269#14556636—416no—
270#14556636—48no—
271C2×#11924029C2311yescharacteristic
272C2×#11924028C2312yes—
273C2×#11924028C2314yes—
274C2×#11924028C2314yescomplemented
275C2×#11924028C2311yescharacteristic, complemented
276C2×#11924028C2312yescomplemented
277C2×#11924027—44no—
278C2×#11924027C2312yes—
279C2×#11924027C2314yes—
280C2×#11924027C2311yescharacteristic
281C2×#11924027C2312yes—
282C2×#11924027C2314yescomplemented
283C2×#11924027C2314yescomplemented
284C2×#11924027C2314yescomplemented
285C2×#11924027C2312yescomplemented
286C2×#11924027C2312yescomplemented
287C2×#11924027C2312yescomplemented
288C2×#11924027C2314yescomplemented
289C2×#11924027C2312yescomplemented
290#41×D73—44no—
291C22×Dic146C2311yescharacteristic, complemented
292C2×Q8×D73C2311yescharacteristic, complemented
293C22×D292C2312yes—
294C22×D292C2311yescharacteristic
295C22×C22⋊D73C2312yes—
296C22×C22⋊D73C2314yes—
297C22×C22⋊D73C2314yes—
298C22×C22⋊D73C2312yes—
299C22×C22⋊D73C2312yes—
300C22×C22⋊D73C2312yes—
301C22×C22⋊D73C2312yes—
302C22×C22⋊D73C2314yescomplemented
303C22×C22⋊D73C2314yescomplemented
304C22×C22⋊D73C2314yescomplemented
305C2×D4×D73—44no—
306C2×D4×D73—48no—
307C2×D4×D73C2312yes—
308C2×D4×D73C2314yes—
309C2×D4×D73C2312yes—
310C2×D4×D73C2312yes—
311C2×D4×D73C2314yes—
312C2×D4×D73C2314yes—
313C2×D4×D73C2314yes—
314C2×D4×D73C2314yes—
315C2×D4×D73C2312yes—
316C2×D4×D73C2314yes—
317C2×D4×D73C2314yes—
318C2×D4×D73C2312yes—
319C2×D4×D73C2312yes—
320C2×D4×D73C2312yes—
321C2×D4×D73C2314yescomplemented
322C2×D4×D73C2312yescomplemented
323C2×D4×D73C2311yescharacteristic, complemented
324C23×Dic73C2311yescharacteristic
325C23×Dic73C2312yescomplemented
326C22×C4×D73—44no—
327C22×C4×D73C2311yescharacteristic
328C22×C4×D73C2311yescharacteristic
329C22×C4×D73C2311yescharacteristic
330C22×C4×D73C2311yescharacteristic
331C22×C4×D73C2311yescharacteristic
332C22×C4×D73C2311yescharacteristic
333C22×C4×D73C2311yescharacteristic
334C22×C4×D73C2311yescharacteristic
335C22×C4×D73C2311yescharacteristic
336C22×C4×D73C2311yescharacteristic
337C22×C4×D73C2311yescharacteristic
338C22×C4×D73C2311yescharacteristic
339C22×C4×D73C2312yes—
340C22×C4×D73C2312yescomplemented
341#14556591C2312yescomplemented
342#14556590C2314yescomplemented
343#14556590C2312yescomplemented
344#14556587C2314yescomplemented
345#14556587C2312yescomplemented
346#14556587C2314yescomplemented
347#14556587C2314yescomplemented
348#14556587C2314yescomplemented
349#14556586C2314yescomplemented
350#14556586C2314yescomplemented
351#14556586C2314yescomplemented
352#14556586C2314yescomplemented
353#14556586C2314yescomplemented
354#14556584C2314yescomplemented
355#14556584C2314yescomplemented
356#14556584C2314yescomplemented
357#14556584C2314yescomplemented
358#14556584C2314yescomplemented
359#14556583C2314yescomplemented
360#14556582C2314yescomplemented
361#14556582C2314yescomplemented
362#14556582C2312yescomplemented
363#14556581C2314yescomplemented
364#14556581C2314yescomplemented
365#14556579C2312yescomplemented
366#14556579C2314yescomplemented
367#14556578C2314yescomplemented
368#14556578C2314yescomplemented
369#14556578C2312yescomplemented
370#14556577C2314yescomplemented
371#14556577C2314yescomplemented
372#14556577C2314yescomplemented
373#14556577C2314yescomplemented
374#14556577C2314yescomplemented
375#14556577C2314yescomplemented
376#14556577C2314yescomplemented
377#14556577C2314yescomplemented
378#14556577C2314yescomplemented
379#14556576C2312yes—
380#14556576C2314yes—
381#14556576C2312yes—
382#14556576C2314yescomplemented
383#14556576C2314yescomplemented
384#14556576C2314yescomplemented
385#14556576C2314yescomplemented
386#14556575C2314yescomplemented
387#14556575C2314yescomplemented
388#14556575C2314yescomplemented
389#14556575C2314yescomplemented
390#14556575C2314yescomplemented
391#14556575C2314yescomplemented
392#14556575C2312yescomplemented
393#14556575C2314yescomplemented
394#14556575C2314yescomplemented
395#14556574C2312yescomplemented
396#14556573C2314yes—
397#14556573C2314yes—
398#14556573C2314yes—
399#14556573C2312yes—
400#14556573C2314yes—
401#14556573C2312yes—
402#14556573C2314yes—
403#14556573C2314yescomplemented
404#14556573C2314yescomplemented
405#14556573C2314yescomplemented
406#14556573C2314yescomplemented
407#14556573C2314yescomplemented
408#14556573C2314yescomplemented
409#14556573C2314yescomplemented
410#14556573C2314yescomplemented
411#14556573C2314yescomplemented
412#14556572C2314yescomplemented
413#14556572C2314yescomplemented
414#14556572C2314yescomplemented
415#14556572C2314yescomplemented
416#14556572C2312yescomplemented
417#14556572C2314yescomplemented
418#14556571C2314yes—
419#14556571C2312yes—
420#14556571C2311yescharacteristic
421#14556571C2312yes—
422#14556571C2312yescomplemented
423#14556571C2312yescomplemented
424#14556571C2314yescomplemented
425#14556571C2312yescomplemented
426#14556571C2311yescharacteristic, complemented
427#14556570C2311yescharacteristic
428#14556570C2312yes—
429#14556570C2314yes—
430#14556570C2312yes—
431#14556570C2312yescomplemented
432#14556570C2312yescomplemented
433#14556570C2314yescomplemented
434#14556570C2311yescharacteristic, complemented
435#14556570C2312yescomplemented
436#14556569C2314yes—
437#14556569C2312yes—
438#14556569C2312yescomplemented
439#14556569C2314yescomplemented
440#14556569C2314yescomplemented
441#14556569C2314yescomplemented
442#14556568C2314yes—
443#14556568C2312yes—
444#14556568C2314yescomplemented
445#14556568C2314yescomplemented
446#14556568C2314yescomplemented
447#14556568C2314yescomplemented
448#14556568C2314yescomplemented
449#14556568C2314yescomplemented
450#14556568C2314yescomplemented
451#14556568C2312yescomplemented
452#14556567C2311yescharacteristic
453#14556567C2314yescomplemented
454#14556567C2311yescharacteristic, complemented
455#14556566C2312yes—
456#14556566C2312yes—
457#14556566C2311yescharacteristic
458#14556566C2312yes—
459#14556566C2312yes—
460#14556566C2312yescomplemented
461#14556566C2314yescomplemented
462#14556566C2311yescharacteristic, complemented
463#14556565C2311yescharacteristic
464#14556565C2312yes—
465#14556565C2312yes—
466#14556565C2312yes—
467#14556565C2312yes—
468#14556565C2314yescomplemented
469#14556565C2314yescomplemented
470#14556565C2314yescomplemented
471#14556565C2311yescharacteristic, complemented
472#14556565C2314yescomplemented
473#14556565C2312yescomplemented
474#14556564C2314yes—
475#14556564C2314yes—
476#14556564C2314yes—
477#14556564C2312yes—
478#14556564C2314yes—
479#14556564C2314yes—
480#14556564C2314yescomplemented
481#14556564C2314yescomplemented
482#14556564C2314yescomplemented
483#14556564C2314yescomplemented
484#14556564C2314yescomplemented
485#14556564C2314yescomplemented
486#14556564C2312yescomplemented
487#14556564C2314yescomplemented
488#14556563C2314yes—
489#14556563C2314yes—
490#14556563C2314yes—
491#14556563C2312yes—
492#14556563C2314yes—
493#14556563C2314yes—
494#14556563C2312yescomplemented
495#14556563C2314yescomplemented
496#14556563C2314yescomplemented
497#14556563C2314yescomplemented
498#14556563C2314yescomplemented
499#14556563C2314yescomplemented
500#14556563C2314yescomplemented
501#14556563C2314yescomplemented
502#14556563C2314yescomplemented
503#14556563C2314yescomplemented
504#14556563C2314yescomplemented
505#14556563C2314yescomplemented
506#14556563C2314yescomplemented
507#14556563C2314yescomplemented
508#14556563C2314yescomplemented
509#14556563C2314yescomplemented
510#14556563C2314yescomplemented
511#14556563C2314yescomplemented
512#14556563C2314yescomplemented
513#14556562C2312yes—
514#14556562C2314yes—
515#14556562C2312yes—
516#14556562C2312yes—
517#14556562C2311yescharacteristic
518#14556562C2312yes—
519#14556562C2312yes—
520#14556562C2312yes—
521#14556562C2312yescomplemented
522#14556562C2314yescomplemented
523#14556562C2312yescomplemented
524#14556562C2314yescomplemented
525#14556562C2314yescomplemented
526#14556562C2314yescomplemented
527#14556562C2314yescomplemented
528#14556562C2314yescomplemented
529#14556562C2314yescomplemented
530#14556562C2312yescomplemented
531#14556562C2312yescomplemented
532#14556562C2314yescomplemented
533#14556562C2311yescharacteristic, complemented
534#14556561C2312yes—
535#14556561C2314yes—
536#14556561C2314yes—
537#14556561C2312yes—
538#14556561C2312yes—
539#14556561C2314yescomplemented
540#14556561C2314yescomplemented
541#14556561C2314yescomplemented
542#14556561C2314yescomplemented
543#14556560C2314yes—
544#14556560C2312yes—
545#14556560C2314yescomplemented
546#14556560C2314yescomplemented
547#14556560C2314yescomplemented
548#14556559C2314yes—
549#14556559C2314yes—
550#14556559C2314yes—
551#14556559C2312yes—
552#14556559C2314yes—
553#14556559C2314yes—
554#14556559C2314yes—
555#14556559C2314yes—
556#14556559C2314yes—
557#14556559C2314yes—
558#14556559C2314yes—
559#14556559C2312yes—
560#14556559C2314yes—
561#14556559C2314yes—
562#14556559C2312yes—
563#14556559C2314yescomplemented
564#14556559C2314yescomplemented
565#14556559C2314yescomplemented
566#14556559C2314yescomplemented
567C4×Dic146C2314yescomplemented
568C4×Dic146C2312yescomplemented
569#14556556C2312yescomplemented
570C4×D292C2314yes—
571C4×D292C2312yes—
572C4×D292C2312yescomplemented
573C4×D292C2314yescomplemented
574C4×D292C2314yescomplemented
575C4×D292C2312yescomplemented
576D4×Dic73C2314yes—
577D4×Dic73C2312yes—
578D4×Dic73C2314yes—
579D4×Dic73C2314yes—
580D4×Dic73C2314yes—
581D4×Dic73C2314yescomplemented
582D4×Dic73C2312yescomplemented
583D4×Dic73C2314yescomplemented
584D4×Dic73C2312yescomplemented
585D4×Dic73C2314yescomplemented
586D4×Dic73C2314yescomplemented
587D4×Dic73C2314yescomplemented
588D4×Dic73C2314yescomplemented
589D4×Dic73C2314yescomplemented
590D4×Dic73C2312yescomplemented
591#14556553C2312yes—
592#14556553C2314yescomplemented
593#14556553C2312yescomplemented
594#14556553C2314yescomplemented
595#14556553C2312yescomplemented
596C4×C22⋊D73C2314yes—
597C4×C22⋊D73C2314yes—
598C4×C22⋊D73C2312yes—
599C4×C22⋊D73C2312yes—
600C4×C22⋊D73C2314yescomplemented
601C4×C22⋊D73C2314yescomplemented
602C4×C22⋊D73C2314yescomplemented
603C4×C22⋊D73C2314yescomplemented
604C4×C22⋊D73C2312yescomplemented
605C4×C22⋊D73C2312yescomplemented
606#14556551C2312yes—
607#14556551C2314yes—
608#14556551C2314yes—
609#14556551C2314yes—
610#14556551C2312yes—
611#14556551C2314yes—
612#14556551C2314yescomplemented
613#14556551C2314yescomplemented
614#14556551C2312yescomplemented
615#14556551C2314yescomplemented
616#14556551C2314yescomplemented
617#14556551C2314yescomplemented
618#14556551C2314yescomplemented
619#14556551C2312yescomplemented
620#14556551C2314yescomplemented
621#14556550C2311yescharacteristic, complemented
622#14556550C2314yescomplemented
623#14556550C2314yescomplemented
624#14556549C2312yes—
625#14556549C2314yes—
626#14556549C2311yescharacteristic
627#14556549C2312yes—
628#14556549C2311yescharacteristic
629#14556549C2314yescomplemented
630#14556549C2312yescomplemented
631#14556549C2312yescomplemented
632#14556549C2312yescomplemented
633#14556548C2312yes—
634#14556548C2314yes—
635#14556548C2314yescomplemented
636#14556547C2314yescomplemented
637#14556547C2312yescomplemented
638C2×C4⋊Dic73C2311yescharacteristic
639C2×C4⋊Dic73C2312yescomplemented
640C2×C4⋊Dic73C2311yescharacteristic, complemented
641C2×C4⋊Dic73C2312yescomplemented
642C2×#11924007C2312yes—
643C2×#11924007C2312yescomplemented
644C2×#11924007C2314yescomplemented
645C4⋊C4×D73C2312yes—
646C4⋊C4×D73C2312yes—
647C4⋊C4×D73C2312yes—
648C4⋊C4×D73C2312yes—
649C4⋊C4×D73C2312yescomplemented
650C4⋊C4×D73C2312yescomplemented
651C4⋊C4×D73C2311yescharacteristic, complemented
652C4⋊C4×D73C2311yescharacteristic, complemented
653C4⋊C4×D73C2312yescomplemented
654C2×C22⋊Dic73C2312yes—
655C2×C22⋊Dic73C2314yes—
656C2×C22⋊Dic73C2312yes—
657C2×C22⋊Dic73C2314yescomplemented
658C2×C22⋊Dic73C2314yescomplemented
659C2×C22⋊Dic73C2312yescomplemented
660C2×#11924005C2312yes—
661C2×#11924005C2312yes—
662C2×#11924005C2314yes—
663C2×#11924005C2314yes—
664C2×#11924005C2312yes—
665C2×#11924005C2312yes—
666C2×#11924005C2314yescomplemented
667C22⋊C4×D73C2312yes—
668C22⋊C4×D73C2314yes—
669C22⋊C4×D73C2314yes—
670C22⋊C4×D73C2314yes—
671C22⋊C4×D73C2312yes—
672C22⋊C4×D73C2314yes—
673C22⋊C4×D73C2314yes—
674C22⋊C4×D73C2314yes—
675C22⋊C4×D73C2314yes—
676C22⋊C4×D73C2312yes—
677C22⋊C4×D73C2312yescomplemented
678C22⋊C4×D73C2314yescomplemented
679C22⋊C4×D73C2312yescomplemented
680C2×C4×Dic73C2312yescomplemented
681C42×D73C2312yescomplemented
682C2×#41×C73C2311yescharacteristic, complemented
683C22×D4×C73C2311yescharacteristic
684C22×D4×C73C2312yes—
685C22×D4×C73C2312yes—
686C22×D4×C73C2314yes—
687C22×D4×C73C2311yescharacteristic, complemented
688C22×D4×C73C2314yescomplemented
689C22×D4×C73C2312yescomplemented
690C23×C4×C73C2311yescharacteristic
691#127×C73C2312yescomplemented
692#127×C73C2314yescomplemented
693#126×C73C2314yescomplemented
694#126×C73C2314yescomplemented
695#125×C73C2312yescomplemented
696#124×C73C2314yescomplemented
697#123×C73C2314yescomplemented
698#123×C73C2314yescomplemented
699#123×C73C2314yescomplemented
700#123×C73C2314yescomplemented
701#123×C73C2312yescomplemented
702C22⋊Q8×C73C2311yescharacteristic
703C22⋊Q8×C73C2311yescharacteristic, complemented
704#121×C73C2312yes—
705#121×C73C2312yes—
706#121×C73C2312yes—
707#121×C73C2311yescharacteristic
708#121×C73C2314yes—
709#121×C73C2312yes—
710#121×C73C2312yes—
711#121×C73C2312yes—
712#121×C73C2314yescomplemented
713#121×C73C2314yescomplemented
714#121×C73C2314yescomplemented
715#121×C73C2314yescomplemented
716#121×C73C2312yescomplemented
717#121×C73C2312yescomplemented
718#121×C73C2311yescharacteristic, complemented
719#121×C73C2314yescomplemented
720#121×C73C2312yescomplemented
721#121×C73C2312yescomplemented
722#120×C73C2314yes—
723#120×C73C2312yes—
724#120×C73C2314yescomplemented
725#120×C73C2314yescomplemented
726#120×C73C2314yescomplemented
727#120×C73C2314yescomplemented
728#120×C73C2314yescomplemented
729C4×D4×C73C2312yes—
730C4×D4×C73C2314yes—
731C4×D4×C73C2312yescomplemented
732C4×D4×C73C2314yescomplemented
733C4×D4×C73C2312yescomplemented
734C4×D4×C73C2312yescomplemented
735#117×C73C2311yescharacteristic, complemented
736#117×C73C2312yescomplemented
737C2×C4⋊C4×C73C2311yescharacteristic
738C2×C4⋊C4×C73C2311yescharacteristic, complemented
739C2×C22⋊C4×C73C2312yes—
740C2×C22⋊C4×C73C2312yescomplemented
741C23×D73—24no—
742C23×D73—42no—
743C23×D73—44no—
744C23×D73—44no—
745C23×D73—42no—
746C23×D73—44no—
747C23×D73C2411yescharacteristic
748C23×D73C2411yescharacteristic
749C23×D73C2411yescharacteristic
750C23×D73C2411yescharacteristic
751C23×D73C2414yes—
752C23×D73C2414yes—
753C23×D73C2412yes—
754C23×D73C2412yes—
755C23×D73C2411yescharacteristic
756C23×D73C2414yes—
757C23×D73C2411yescharacteristic
758#11924029—42no—
759#11924028—28no—
760#11924028—44no—
761#11924028—42no—
762#11924028—48no—
763#11924028—48no—
764#11924027—28no—
765#11924027—44no—
766#11924027—44no—
767#11924027—44no—
768#11924027—48no—
769#11924027—44no—
770#11924027—42no—
771#11924027—44no—
772#11924027—48no—
773#11924027—48no—
774#11924027—48no—
775#11924027—48no—
776C2×Dic146—42no—
777C2×Dic146C2412yes—
778C2×Dic146C2412yes—
779C2×Dic146C2414yes—
780C2×Dic146C2411yescharacteristic
781C2×Dic146C2414yes—
782C2×Dic146C2412yes—
783Q8×D73—42no—
784C2×D292—42no—
785C2×D292—44no—
786C2×D292C2412yes—
787C2×D292C2414yes—
788C2×D292C2412yes—
789C2×D292C2412yes—
790C2×D292C2414yes—
791C2×D292C2412yes—
792C2×D292C2411yescharacteristic
793C2×D292C2412yes—
794C2×D292C2414yes—
795C2×C22⋊D73—28no—
796C2×C22⋊D73—44no—
797C2×C22⋊D73—48no—
798C2×C22⋊D73—44no—
799C2×C22⋊D73—44no—
800C2×C22⋊D73—48no—
801C2×C22⋊D73—48no—
802C2×C22⋊D73—48no—
803C2×C22⋊D73—44no—
804C2×C22⋊D73—48no—
805C2×C22⋊D73C2414yes—
806C2×C22⋊D73C2412yes—
807C2×C22⋊D73C2412yes—
808C2×C22⋊D73C2412yes—
809C2×C22⋊D73C2414yes—
810C2×C22⋊D73C2414yes—
811C2×C22⋊D73C2412yes—
812C2×C22⋊D73C2414yes—
813C2×C22⋊D73C2412yes—
814C2×C22⋊D73C2414yes—
815C2×C22⋊D73C2414yes—
816C2×C22⋊D73C2414yes—
817C2×C22⋊D73C2412yes—
818C2×C22⋊D73C2414yes—
819C2×C22⋊D73C2414yes—
820C2×C22⋊D73C2414yes—
821C2×C22⋊D73C2414yes—
822C2×C22⋊D73C2414yes—
823C2×C22⋊D73C2412yes—
824C2×C22⋊D73C2414yes—
825C2×C22⋊D73C2414yes—
826C2×C22⋊D73C2414yes—
827C2×C22⋊D73C2414yes—
828C2×C22⋊D73C2414yes—
829C2×C22⋊D73C2414yes—
830D4×D73—216no—
831D4×D73—28no—
832D4×D73—28no—
833D4×D73—44no—
834D4×D73—44no—
835D4×D73—44no—
836D4×D73—42no—
837D4×D73—44no—
838D4×D73—48no—
839D4×D73—48no—
840D4×D73—44no—
841D4×D73—48no—
842D4×D73—48no—
843D4×D73—48no—
844D4×D73—48no—
845D4×D73—44no—
846D4×D73—48no—
847C22×Dic73—42no—
848C22×Dic73—44no—
849C22×Dic73C2411yescharacteristic
850C22×Dic73C2412yes—
851C22×Dic73C2411yescharacteristic
852C22×Dic73C2414yes—
853C22×Dic73C2411yescharacteristic
854C22×Dic73C2411yescharacteristic
855C22×Dic73C2412yes—
856C22×Dic73C2412yes—
857C22×Dic73C2414yes—
858C22×Dic73C2414yes—
859C22×Dic73C2414yes—
860C22×Dic73C2411yescharacteristic
861C22×Dic73C2412yes—
862C22×Dic73C2414yes—
863C22×Dic73C2414yes—
864C22×Dic73C2411yescharacteristic
865C2×C4×D73—24no—
866C2×C4×D73—24no—
867C2×C4×D73—24no—
868C2×C4×D73—42no—
869C2×C4×D73—42no—
870C2×C4×D73—42no—
871C2×C4×D73—42no—
872C2×C4×D73—42no—
873C2×C4×D73—42no—
874C2×C4×D73—44no—
875C2×C4×D73—42no—
876C2×C4×D73—42no—
877C2×C4×D73—42no—
878C2×C4×D73—44no—
879C2×C4×D73C2411yescharacteristic
880C2×C4×D73C2412yes—
881C2×C4×D73C2411yescharacteristic
882C2×C4×D73C2411yescharacteristic
883C2×C4×D73C2414yes—
884C2×C4×D73C2411yescharacteristic
885C2×C4×D73C2411yescharacteristic
886C2×C4×D73C2411yescharacteristic
887C2×C4×D73C2411yescharacteristic
888C2×C4×D73C2412yes—
889C2×C4×D73C2411yescharacteristic
890C2×C4×D73C2411yescharacteristic
891C2×C4×D73C2412yes—
892C2×C4×D73C2411yescharacteristic
893C2×C4×D73C2411yescharacteristic
894C2×C4×D73C2414yes—
895C2×C4×D73C2412yes—
896C2×C4×D73C2414yes—
897C2×C4×D73C2414yes—
898C2×C4×D73C2414yes—
899C2×C4×D73C2411yescharacteristic
900C2×C4×D73C2411yescharacteristic
901C2×C4×D73C2412yes—
902C2×C4×D73C2414yes—
903C2×C4×D73C2411yescharacteristic
904C2×C4×D73C2411yescharacteristic
905C2×C4×D73C2411yescharacteristic
906C4⋊Dic73C2412yes—
907C4⋊Dic73C2412yes—
908C4⋊Dic73C2412yes—
909C4⋊Dic73C2411yescharacteristic
910C4⋊Dic73C2411yescharacteristic
911C4⋊Dic73C2412yes—
912C4⋊Dic73C2412yes—
913C4⋊Dic73C2412yes—
914C4⋊Dic73C2414yes—
915C4⋊Dic73C2414yes—
916C4⋊Dic73C2414yes—
917C4⋊Dic73C2414yes—
918C4⋊Dic73C2414yes—
919C4⋊Dic73C2414yes—
920#11924007C2414yes—
921#11924007C2414yes—
922#11924007C2412yes—
923#11924007C2412yes—
924#11924007C2412yes—
925#11924007C2412yes—
926#11924007C2414yes—
927#11924007C2412yes—
928#11924007C2412yes—
929#11924007C2414yes—
930#11924007C2414yes—
931#11924007C2414yes—
932#11924007C2414yes—
933#11924007C2414yes—
934#11924007C2414yes—
935#11924007C2414yes—
936C22⋊Dic73C2414yes—
937C22⋊Dic73C2414yes—
938C22⋊Dic73C2414yes—
939C22⋊Dic73C2412yes—
940C22⋊Dic73C2412yes—
941C22⋊Dic73C2412yes—
942C22⋊Dic73C2414yes—
943C22⋊Dic73C2414yes—
944C22⋊Dic73C2414yes—
945C22⋊Dic73C2412yes—
946C22⋊Dic73C2412yes—
947C22⋊Dic73C2414yes—
948C22⋊Dic73C2414yes—
949C22⋊Dic73C2414yes—
950C22⋊Dic73C2414yes—
951C22⋊Dic73C2414yes—
952C22⋊Dic73C2414yes—
953C22⋊Dic73C2414yes—
954#11924005C2412yes—
955#11924005C2412yes—
956#11924005C2414yes—
957#11924005C2414yes—
958#11924005C2414yes—
959#11924005C2414yes—
960#11924005C2414yes—
961#11924005C2414yes—
962#11924005C2412yes—
963#11924005C2412yes—
964#11924005C2414yes—
965#11924005C2414yes—
966#11924005C2412yes—
967#11924005C2412yes—
968#11924005C2412yes—
969#11924005C2412yes—
970#11924005C2412yes—
971#11924005C2412yes—
972#11924005C2414yes—
973#11924005C2414yes—
974#11924005C2414yes—
975#11924005C2414yes—
976#11924005C2414yes—
977#11924005C2414yes—
978#11924005C2414yes—
979#11924005C2414yes—
980C4×Dic73C2412yes—
981C4×Dic73C2412yes—
982C4×Dic73C2412yes—
983C4×Dic73C2414yes—
984C4×Dic73C2414yes—
985C4×Dic73C2414yes—
986C4×Dic73C2414yes—
987C4×Dic73C2414yes—
988C24×C73C2411yescharacteristic
989C24×C73C2412yes—
990C24×C73C2412yes—
991C24×C73C2414yes—
992#41×C73—42no—
993C2×Q8×C73C2411yescharacteristic
994C2×D4×C73—42no—
995C2×D4×C73—42no—
996C2×D4×C73—44no—
997C2×D4×C73—44no—
998C2×D4×C73—48no—
999C2×D4×C73—44no—
1000C2×D4×C73—48no—
1001C2×D4×C73C2412yes—
1002C2×D4×C73C2414yes—
1003C2×D4×C73C2412yes—
1004C2×D4×C73C2414yes—
1005C2×D4×C73C2412yes—
1006C2×D4×C73C2412yes—
1007C2×D4×C73C2412yes—
1008C2×D4×C73C2414yes—
1009C2×D4×C73C2414yes—
1010C2×D4×C73C2411yescharacteristic
1011C2×D4×C73C2412yes—
1012C2×D4×C73C2412yes—
1013C2×D4×C73C2414yes—
1014C2×D4×C73C2414yes—
1015C2×D4×C73C2414yes—
1016C2×D4×C73C2414yes—
1017C2×D4×C73C2414yes—
1018C22×C4×C73—42no—
1019C22×C4×C73C2411yescharacteristic
1020C22×C4×C73C2411yescharacteristic
1021C22×C4×C73C2412yes—
1022C22×C4×C73C2411yescharacteristic
1023C22×C4×C73C2411yescharacteristic
1024C22×C4×C73C2412yes—
1025C22×C4×C73C2411yescharacteristic
1026C22×C4×C73C2412yes—
1027C22×C4×C73C2414yes—
1028C22×C4×C73C2414yes—
1029C22×C4×C73C2411yescharacteristic
1030C4⋊C4×C73C2412yes—
1031C4⋊C4×C73C2412yes—
1032C4⋊C4×C73C2412yes—
1033C4⋊C4×C73C2412yes—
1034C4⋊C4×C73C2411yescharacteristic
1035C4⋊C4×C73C2411yescharacteristic
1036C4⋊C4×C73C2412yes—
1037C4⋊C4×C73C2414yes—
1038C4⋊C4×C73C2414yes—
1039C4⋊C4×C73C2412yes—
1040C22⋊C4×C73C2414yes—
1041C22⋊C4×C73C2414yes—
1042C22⋊C4×C73C2414yes—
1043C22⋊C4×C73C2414yes—
1044C22⋊C4×C73C2412yes—
1045C22⋊C4×C73C2414yes—
1046C22⋊C4×C73C2412yes—
1047C22⋊C4×C73C2414yes—
1048C22⋊C4×C73C2412yes—
1049C22⋊C4×C73C2412yes—
1050C22⋊C4×C73C2414yes—
1051C22⋊C4×C73C2414yes—
1052C22⋊C4×C73C2414yes—
1053C22⋊C4×C73C2412yes—
1054C42×C73C2412yes—
1055C42×C73C2414yes—
1056C23×C73—22no—
1057C23×C73—22no—
1058C23×C73—24no—
1059C23×C73—24no—
1060C23×C73—41no—
1061C23×C73—42no—
1062C23×C73—42no—
1063C23×C73—42no—
1064C23×C73—42no—
1065C23×C73—44no—
1066C23×C73—44no—
1067C23×C73—44no—
1068C23×C73C2514yes—
1069C23×C73C2514yes—
1070C23×C73C2512yes—
1071C23×C73C2511yescharacteristic
1072C23×C73C2511yescharacteristic
1073C23×C73C2511yescharacteristic
1074C22×D73—22no—
1075C22×D73—22no—
1076C22×D73—22no—
1077C22×D73—22no—
1078C22×D73—22no—
1079C22×D73—24no—
1080C22×D73—22no—
1081C22×D73—22no—
1082C22×D73—22no—
1083C22×D73—22no—
1084C22×D73—22no—
1085C22×D73—24no—
1086C22×D73—28no—
1087C22×D73—28no—
1088C22×D73—41no—
1089C22×D73—41no—
1090C22×D73—41no—
1091C22×D73—41no—
1092C22×D73—41no—
1093C22×D73—41no—
1094C22×D73—41no—
1095C22×D73—42no—
1096C22×D73—44no—
1097C22×D73—44no—
1098C22×D73—42no—
1099C22×D73—42no—
1100C22×D73—42no—
1101C22×D73—44no—
1102C22×D73—44no—
1103C22×D73—44no—
1104C22×D73—44no—
1105C22×D73—44no—
1106C22×D73—416no—
1107C22×D73—816no—
1108C22×D73H(5,𝔽2)14yescomplemented
1109C22×D73C2514yes—
1110C22×D73C2511yescharacteristic
1111C22×D73C2512yes—
1112C22×D73C2511yescharacteristic
1113C22×D73C2511yescharacteristic
1114C22×D73C2511yescharacteristic
1115Q8×C73—41no—
1116D4×C73—28no—
1117D4×C73—24no—
1118D4×C73—24no—
1119D4×C73—28no—
1120D4×C73—24no—
1121D4×C73—24no—
1122D4×C73—44no—
1123D4×C73—44no—
1124D4×C73—44no—
1125D4×C73—44no—
1126D4×C73—42no—
1127D4×C73—44no—
1128D4×C73—44no—
1129D4×C73—44no—
1130D4×C73—42no—
1131D4×C73—42no—
1132D4×C73—41no—
1133C2×C4×C73—22no—
1134C2×C4×C73—22no—
1135C2×C4×C73—22no—
1136C2×C4×C73—24no—
1137C2×C4×C73—41no—
1138C2×C4×C73—41no—
1139C2×C4×C73—41no—
1140C2×C4×C73—42no—
1141C2×C4×C73—44no—
1142C2×C4×C73—42no—
1143C2×C4×C73—44no—
1144C2×C4×C73C2512yes—
1145C2×C4×C73C2512yes—
1146C2×C4×C73C2514yes—
1147C2×C4×C73C2512yes—
1148C2×C4×C73C2514yes—
1149C2×C4×C73C2511yescharacteristic
1150C2×C4×C73C2511yescharacteristic
1151C2×C4×C73C2511yescharacteristic
1152C2×C4×C73C2511yescharacteristic
1153C22⋊D73—28no—
1154C22⋊D73—24no—
1155C22⋊D73—24no—
1156C22⋊D73—28no—
1157C22⋊D73—24no—
1158C22⋊D73—28no—
1159C22⋊D73—28no—
1160C22⋊D73—28no—
1161C22⋊D73—24no—
1162C22⋊D73—28no—
1163C22⋊D73—24no—
1164C22⋊D73—44no—
1165C22⋊D73—44no—
1166C22⋊D73—44no—
1167C22⋊D73—44no—
1168C22⋊D73—44no—
1169C22⋊D73—44no—
1170C22⋊D73—44no—
1171C22⋊D73—44no—
1172C22⋊D73—42no—
1173C22⋊D73—42no—
1174C22⋊D73—44no—
1175C22⋊D73—44no—
1176C22⋊D73—44no—
1177C22⋊D73—44no—
1178C2×Dic73—24no—
1179C2×Dic73—22no—
1180C2×Dic73—22no—
1181C2×Dic73—22no—
1182C2×Dic73—28no—
1183C2×Dic73—41no—
1184C2×Dic73—41no—
1185C2×Dic73—41no—
1186C2×Dic73—42no—
1187C2×Dic73—42no—
1188C2×Dic73—42no—
1189C2×Dic73—44no—
1190C2×Dic73—44no—
1191C2×Dic73—44no—
1192C2×Dic73—44no—
1193C2×Dic73—44no—
1194C2×Dic73C2511yescharacteristic
1195C2×Dic73C2511yescharacteristic
1196C2×Dic73C2512yes—
1197C2×Dic73C2514yes—
1198C2×Dic73C2512yes—
1199C2×Dic73C2512yes—
1200C2×Dic73C2514yes—
1201C2×Dic73C2514yes—
1202C2×Dic73C2511yescharacteristic
1203C2×Dic73C2511yescharacteristic
1204D292—28no—
1205D292—24no—
1206D292—24no—
1207D292—24no—
1208D292—44no—
1209D292—42no—
1210D292—44no—
1211D292—42no—
1212D292—41no—
1213C4×D73—22no—
1214C4×D73—22no—
1215C4×D73—22no—
1216C4×D73—28no—
1217C4×D73—24no—
1218C4×D73—22no—
1219C4×D73—22no—
1220C4×D73—22no—
1221C4×D73—24no—
1222C4×D73—22no—
1223C4×D73—22no—
1224C4×D73—22no—
1225C4×D73—41no—
1226C4×D73—41no—
1227C4×D73—41no—
1228C4×D73—41no—
1229C4×D73—41no—
1230C4×D73—41no—
1231C4×D73—44no—
1232C4×D73—42no—
1233C4×D73—42no—
1234C4×D73—42no—
1235C4×D73—44no—
1236C4×D73—44no—
1237C4×D73—44no—
1238C4×D73—44no—
1239C4×D73H(5,𝔽2)14yescomplemented
1240Dic146—24no—
1241Dic146—24no—
1242Dic146—41no—
1243Dic146—42no—
1244Dic146—44no—
1245Dic146—44no—
1246C22×C73—21no—
1247C22×C73—21no—
1248C22×C73—21no—
1249C22×C73—21no—
1250C22×C73—24no—
1251C22×C73—21no—
1252C22×C73—22no—
1253C22×C73—22no—
1254C22×C73—24no—
1255C22×C73—24no—
1256C22×C73—24no—
1257C22×C73—21no—
1258C22×C73—22no—
1259C22×C73—24no—
1260C22×C73—24no—
1261C22×C73—21no—
1262C22×C73—44no—
1263C22×C73—84no—
1264C22×C73—84no—
1265C22×C73—164no—
1266C22×C73C2×H(5,𝔽2)12yes—
1267C22×C73#58512yes—
1268C22×C73C2611yescharacteristic
1269C2×D73—28no—
1270C2×D73—21no—
1271C2×D73—21no—
1272C2×D73—21no—
1273C2×D73—21no—
1274C2×D73—21no—
1275C2×D73—21no—
1276C2×D73—21no—
1277C2×D73—22no—
1278C2×D73—22no—
1279C2×D73—24no—
1280C2×D73—24no—
1281C2×D73—21no—
1282C2×D73—24no—
1283C2×D73—22no—
1284C2×D73—21no—
1285C2×D73—44no—
1286C2×D73—44no—
1287C2×D73—44no—
1288C2×D73—44no—
1289C2×D73—44no—
1290C2×D73—84no—
1291C2×D73—88no—
1292C2×D73—88no—
1293C2×D73—84no—
1294C2×D73—164no—
1295C2×D73C2×H(5,𝔽2)12yes—
1296C2×D73C2×H(5,𝔽2)12yes—
1297C2×D73C2×H(5,𝔽2)12yes—
1298C4×C73—22no—
1299C4×C73—21no—
1300C4×C73—22no—
1301C4×C73—21no—
1302C4×C73—24no—
1303C4×C73—21no—
1304C4×C73—22no—
1305C4×C73—24no—
1306C4×C73C2×H(5,𝔽2)12yes—
1307Dic73—22no—
1308Dic73—24no—
1309Dic73—22no—
1310Dic73—24no—
1311Dic73—24no—
1312Dic73—21no—
1313Dic73—21no—
1314Dic73—21no—
1315Dic73—22no—
1316Dic73C2×H(5,𝔽2)12yes—
1317#62818—731nomaximal, Sylow
1318C2×C73—22no—
1319C2×C73—22no—
1320C2×C73—41no—
1321C2×C73—44no—
1322C2×C73—42no—
1323C2×C73—44no—
1324C2×C73C22×H(5,𝔽2)11yescharacteristic
1325C2×C73C22×H(5,𝔽2)11yescharacteristic
1326C2×C73C2×#58511yescharacteristic
1327D73—22no—
1328D73—22no—
1329D73—22no—
1330D73—41no—
1331D73—44no—
1332D73—42no—
1333#3542—734no—
1334#3542—732no—
1335#3542—732no—
1336#3537—732no—
1337#3537—731no—
1338#3537D7311yescharacteristic, complemented
1339#3536—732no—
1340#3536—731no—
1341#3536—731no—
1342#3534—734no—
1343#3534—732no—
1344#3534—732no—
1345#3519—732no—
1346#3519—734no—
1347#3519—732no—
1348#3505—732no—
1349#3505—732no—
1350#3496—732no—
1351#3496—732no—
1352#3494—732no—
1353#3494—732no—
1354#3492—732no—
1355#3490—732no—
1356#3490—732no—
1357#3488—732no—
1358#3488—732no—
1359#3484—732no—
1360#3484—734no—
1361C2×#525—731no—
1362C2×#525—731no—
1363C22×#121—731no—
1364C73#6281811yescharacteristic, complemented, Sylow
1365C2×H(5,𝔽2)—732no—
1366C2×H(5,𝔽2)—734no—
1367C22×#41—731no—
1368C22×#41—731no—
1369C23×D4—732no—
1370C23×D4—731no—
1371C24×C4—731no—
1372#562—734no—
1373#562—734no—
1374#562—734no—
1375#562—734no—
1376#560—734no—
1377#560—734no—
1378#560—734no—
1379#560C2×D7314yescomplemented
1380#555—734no—
1381#555—732no—
1382#555—732no—
1383#554—732no—
1384#554—734no—
1385#554—732no—
1386#553—734no—
1387#553—732no—
1388#553—734no—
1389#553—734no—
1390#553—732no—
1391#553—734no—
1392#553—734no—
1393#553—732no—
1394#553—734no—
1395#553—734no—
1396#553—732no—
1397#553C2×D7312yescomplemented
1398#553C2×D7312yescomplemented
1399#552—734no—
1400#552—732no—
1401#552—732no—
1402#551—734no—
1403#551—734no—
1404#551—734no—
1405#551—734no—
1406#551—734no—
1407#551—734no—
1408#551—734no—
1409#551—734no—
1410#550—734no—
1411#550—732no—
1412#550—732no—
1413#548—734no—
1414#548—732no—
1415#548—732no—
1416#547—734no—
1417#547—734no—
1418#547—732no—
1419#547—732no—
1420#547—732no—
1421#547—732no—
1422#546—734no—
1423#546—732no—
1424#546—732no—
1425#546—734no—
1426#546—734no—
1427#546—734no—
1428#546—734no—
1429#546—734no—
1430#546—734no—
1431#546—734no—
1432#546—734no—
1433#546—734no—
1434#546—732no—
1435#546—734no—
1436#546—734no—
1437#546—734no—
1438#546—734no—
1439#546—734no—
1440#546—734no—
1441#546—734no—
1442#546—734no—
1443#546—734no—
1444#546—734no—
1445#546—734no—
1446#546—734no—
1447#546—732no—
1448#546—734no—
1449#546—732no—
1450#546—732no—
1451D42—734no—
1452D42—734no—
1453D42—734no—
1454D42—734no—
1455D42—732no—
1456D42—732no—
1457D42—734no—
1458D42—732no—
1459D42—732no—
1460D42—734no—
1461D42—734no—
1462D42—734no—
1463D42—734no—
1464D42—734no—
1465D42C2×D7312yescomplemented
1466D42C2×D7314yescomplemented
1467D42C2×D7312yescomplemented
1468#544—732no—
1469#543—732no—
1470#543—732no—
1471#542—734no—
1472#542—732no—
1473#542—732no—
1474#540—734no—
1475#540—734no—
1476#540—734no—
1477#540—732no—
1478#540—734no—
1479#540—734no—
1480#540C2×D7312yescomplemented
1481#539—734no—
1482#539—734no—
1483#539—734no—
1484#539—732no—
1485#539—732no—
1486#538—734no—
1487#538—734no—
1488#538—734no—
1489#538—732no—
1490#538—732no—
1491#538—734no—
1492#538—734no—
1493#538—734no—
1494#538—734no—
1495#538—732no—
1496#538—732no—
1497#538C2×D7312yescomplemented
1498#538C2×D7312yescomplemented
1499#537—732no—
1500#537—732no—
1501#537—732no—
1502#537—734no—
1503#537—732no—
1504#537—732no—
1505#537—734no—
1506#535—732no—
1507#535—734no—
1508#535—732no—
1509#535—734no—
1510#535—732no—
1511#535—734no—
1512#535C2×D7312yescomplemented
1513#534—732no—
1514#534—734no—
1515#534—734no—
1516#534—734no—
1517#534—734no—
1518#534—734no—
1519#534—734no—
1520#534—734no—
1521#534—732no—
1522#534C2×D7312yescomplemented
1523#534C2×D7312yescomplemented
1524#532—732no—
1525#532—734no—
1526#532—732no—
1527#529—732no—
1528#529—734no—
1529#529—732no—
1530#525—731no—
1531#525—731no—
1532#525—732no—
1533#525—731no—
1534#525—731no—
1535#525—732no—
1536#525—731no—
1537#525—732no—
1538#525—732no—
1539#525—732no—
1540#525—734no—
1541#525—732no—
1542#525—732no—
1543#525—731no—
1544#525—732no—
1545#525—732no—
1546#525—732no—
1547#525—732no—
1548#525—734no—
1549#525—732no—
1550#525—734no—
1551#525—732no—
1552#525—731no—
1553#525—732no—
1554#525C2×D7311yescharacteristic, complemented
1555C2×#123—732no—
1556C2×#123—732no—
1557C2×C22⋊Q8—731no—
1558C2×C22⋊Q8—731no—
1559C2×C22⋊Q8—731no—
1560C2×C22⋊Q8—731no—
1561C2×#121—731no—
1562C2×#121—732no—
1563C2×#121—731no—
1564C2×#121—732no—
1565C2×#121—734no—
1566C2×#121—731no—
1567C2×#121—732no—
1568C2×#121—732no—
1569C2×#121—732no—
1570C2×#121—732no—
1571C2×#121—732no—
1572C2×#121—732no—
1573C2×#121—732no—
1574C2×#121—732no—
1575C2×#121—731no—
1576C2×#121—731no—
1577C2×#121—732no—
1578C2×#121—731no—
1579C2×#121—732no—
1580C2×#121C2×D7311yescharacteristic, complemented
1581C2×#121C2×D7311yescharacteristic, complemented
1582C2×#120—732no—
1583C2×#120—734no—
1584C2×#120—732no—
1585C2×#120—734no—
1586#520—732no—
1587#520—732no—
1588#518—734no—
1589#518—734no—
1590#518—732no—
1591#518—734no—
1592C2×C4×D4—732no—
1593C2×C4×D4—732no—
1594C2×C4×D4—732no—
1595C2×C4×D4—732no—
1596C2×#117—731no—
1597C2×#117—731no—
1598C22×C4⋊C4—731no—
1599C22×C22⋊C4—732no—
1600C25—732no—
1601C25—731no—
1602H(5,𝔽2)—2928no—
1603H(5,𝔽2)—29216no—
1604C2×#41—2924no—
1605C2×#41—2924no—
1606C2×#41—731no—
1607C2×#41—732no—
1608C2×#41—732no—
1609C2×#41—731no—
1610C2×#41—732no—
1611C2×#41—732no—
1612C2×#41—734no—
1613C2×#41—732no—
1614C2×#41—734no—
1615C2×#41—734no—
1616C2×#41—734no—
1617C2×#41—734no—
1618C2×#41—732no—
1619C2×#41—731no—
1620C2×#41—734no—
1621C2×#41—732no—
1622C2×#41—734no—
1623C2×#41—732no—
1624C2×#41C22×D7311yescharacteristic, complemented
1625C22×Q8—731no—
1626C22×Q8—731no—
1627C22×D4—2928no—
1628C22×D4—2924no—
1629C22×D4—732no—
1630C22×D4—734no—
1631C22×D4—734no—
1632C22×D4—732no—
1633C22×D4—732no—
1634C22×D4—732no—
1635C22×D4—734no—
1636C22×D4—734no—
1637C22×D4—734no—
1638C22×D4—732no—
1639C22×D4—734no—
1640C22×D4—732no—
1641C22×D4—734no—
1642C22×D4—734no—
1643C22×D4—732no—
1644C22×D4—734no—
1645C22×D4—731no—
1646C22×D4—734no—
1647C22×D4—734no—
1648C22×D4—732no—
1649C22×D4—732no—
1650C22×D4—734no—
1651C22×D4—732no—
1652C22×D4—732no—
1653C22×D4—732no—
1654C22×D4—734no—
1655C22×D4—732no—
1656C22×D4—731no—
1657C22×D4—732no—
1658C22×D4C22×D7312yes—
1659C22×D4C22×D7314yes—
1660C22×D4C22×D7311yescharacteristic
1661C22×D4C22×D7312yes—
1662C22×D4C22×D7311yescharacteristic, complemented
1663C22×D4C22×D7314yescomplemented
1664C22×D4C22×D7312yescomplemented
1665C23×C4—2924no—
1666C23×C4—731no—
1667C23×C4—732no—
1668C23×C4—731no—
1669C23×C4—732no—
1670C23×C4—731no—
1671C23×C4—731no—
1672C23×C4—731no—
1673C23×C4—732no—
1674C23×C4—731no—
1675C23×C4—731no—
1676C23×C4—731no—
1677C23×C4—731no—
1678C23×C4—731no—
1679C23×C4—731no—
1680C23×C4—731no—
1681C23×C4—731no—
1682C23×C4C22×D7311yescharacteristic
1683C4⋊Q8—734no—
1684C4⋊Q8—732no—
1685C4⋊Q8—732no—
1686#127—732no—
1687#127—734no—
1688#127—734no—
1689#127—734no—
1690#127—734no—
1691#127C22×D7312yescomplemented
1692#127C22×D7314yescomplemented
1693#126—734no—
1694#126—734no—
1695#126—734no—
1696#126—734no—
1697#126—734no—
1698#126—734no—
1699#126—734no—
1700#126—734no—
1701#126—734no—
1702#126—734no—
1703#126C22×D7314yescomplemented
1704#126C22×D7314yescomplemented
1705#125—734no—
1706#125—732no—
1707#125—734no—
1708#125—734no—
1709#125—734no—
1710#125—734no—
1711#125C22×D7312yescomplemented
1712#124—732no—
1713#124—734no—
1714#124—734no—
1715#124—734no—
1716#124—734no—
1717#124—734no—
1718#124—734no—
1719#124—734no—
1720#124—734no—
1721#124—734no—
1722#124—734no—
1723#124—734no—
1724#124—732no—
1725#124—734no—
1726#124C22×D7314yescomplemented
1727#123—732no—
1728#123—734no—
1729#123—734no—
1730#123—734no—
1731#123—734no—
1732#123—734no—
1733#123—732no—
1734#123—732no—
1735#123—732no—
1736#123—734no—
1737#123—734no—
1738#123—734no—
1739#123—734no—
1740#123—734no—
1741#123—734no—
1742#123—732no—
1743#123—734no—
1744#123—732no—
1745#123—732no—
1746#123—734no—
1747#123—734no—
1748#123—734no—
1749#123—734no—
1750#123—734no—
1751#123—734no—
1752#123—734no—
1753#123—734no—
1754#123—734no—
1755#123—734no—
1756#123—734no—
1757#123—734no—
1758#123—734no—
1759#123—734no—
1760#123—734no—
1761#123—734no—
1762#123—734no—
1763#123—734no—
1764#123—734no—
1765#123—734no—
1766#123C22×D7312yescomplemented
1767#123C22×D7314yescomplemented
1768#123C22×D7314yescomplemented
1769#123C22×D7314yescomplemented
1770#123C22×D7314yescomplemented
1771C22⋊Q8—731no—
1772C22⋊Q8—731no—
1773C22⋊Q8—734no—
1774C22⋊Q8—732no—
1775C22⋊Q8—731no—
1776C22⋊Q8—732no—
1777C22⋊Q8—731no—
1778C22⋊Q8—732no—
1779C22⋊Q8—732no—
1780C22⋊Q8—732no—
1781C22⋊Q8—734no—
1782C22⋊Q8—734no—
1783C22⋊Q8—732no—
1784C22⋊Q8—732no—
1785C22⋊Q8—732no—
1786C22⋊Q8—732no—
1787C22⋊Q8—732no—
1788C22⋊Q8—731no—
1789C22⋊Q8—732no—
1790C22⋊Q8—731no—
1791C22⋊Q8—732no—
1792C22⋊Q8—734no—
1793C22⋊Q8—734no—
1794C22⋊Q8—734no—
1795C22⋊Q8—734no—
1796C22⋊Q8—734no—
1797C22⋊Q8—734no—
1798C22⋊Q8—732no—
1799C22⋊Q8—732no—
1800C22⋊Q8—734no—
1801C22⋊Q8—734no—
1802C22⋊Q8—734no—
1803C22⋊Q8—734no—
1804C22⋊Q8—734no—
1805C22⋊Q8—734no—
1806C22⋊Q8—734no—
1807C22⋊Q8—734no—
1808C22⋊Q8C22×D7311yescharacteristic
1809C22⋊Q8C22×D7311yescharacteristic, complemented
1810#121—732no—
1811#121—734no—
1812#121—732no—
1813#121—732no—
1814#121—732no—
1815#121—734no—
1816#121—732no—
1817#121—734no—
1818#121—732no—
1819#121—734no—
1820#121—732no—
1821#121—732no—
1822#121—732no—
1823#121—732no—
1824#121—731no—
1825#121—731no—
1826#121—734no—
1827#121—734no—
1828#121—734no—
1829#121—732no—
1830#121—734no—
1831#121—732no—
1832#121—734no—
1833#121—734no—
1834#121—734no—
1835#121—734no—
1836#121—734no—
1837#121—734no—
1838#121—734no—
1839#121—734no—
1840#121—734no—
1841#121—734no—
1842#121—734no—
1843#121—734no—
1844#121—734no—
1845#121—734no—
1846#121—734no—
1847#121—734no—
1848#121—734no—
1849#121—734no—
1850#121—734no—
1851#121—734no—
1852#121—734no—
1853#121—734no—
1854#121—734no—
1855#121—734no—
1856#121—732no—
1857#121—732no—
1858#121—732no—
1859#121—732no—
1860#121—731no—
1861#121—731no—
1862#121—732no—
1863#121—734no—
1864#121—734no—
1865#121—734no—
1866#121—734no—
1867#121—732no—
1868#121—732no—
1869#121—732no—
1870#121—732no—
1871#121—731no—
1872#121—731no—
1873#121—732no—
1874#121—734no—
1875#121—734no—
1876#121—734no—
1877#121—734no—
1878#121—734no—
1879#121—732no—
1880#121—732no—
1881#121—734no—
1882#121—734no—
1883#121—734no—
1884#121—734no—
1885#121—734no—
1886#121—734no—
1887#121—734no—
1888#121—734no—
1889#121C22×D7312yes—
1890#121C22×D7312yes—
1891#121C22×D7312yes—
1892#121C22×D7312yes—
1893#121C22×D7311yescharacteristic
1894#121C22×D7312yes—
1895#121C22×D7312yes—
1896#121C22×D7314yes—
1897#121C22×D7311yescharacteristic, complemented
1898#121C22×D7312yescomplemented
1899#121C22×D7312yescomplemented
1900#121C22×D7312yescomplemented
1901#121C22×D7312yescomplemented
1902#121C22×D7314yescomplemented
1903#121C22×D7314yescomplemented
1904#121C22×D7314yescomplemented
1905#121C22×D7314yescomplemented
1906#121C22×D7314yescomplemented
1907#120—732no—
1908#120—734no—
1909#120—734no—
1910#120—734no—
1911#120—734no—
1912#120—734no—
1913#120—732no—
1914#120—732no—
1915#120—734no—
1916#120—734no—
1917#120—732no—
1918#120—734no—
1919#120—734no—
1920#120—734no—
1921#120—734no—
1922#120—734no—
1923#120—734no—
1924#120—734no—
1925#120—734no—
1926#120—734no—
1927#120—734no—
1928#120—734no—
1929#120—734no—
1930#120—734no—
1931#120—732no—
1932#120—732no—
1933#120—732no—
1934#120—734no—
1935#120—734no—
1936#120—734no—
1937#120—734no—
1938#120—734no—
1939#120—734no—
1940#120C22×D7312yes—
1941#120C22×D7314yes—
1942#120C22×D7314yescomplemented
1943#120C22×D7314yescomplemented
1944#120C22×D7314yescomplemented
1945#120C22×D7314yescomplemented
1946#120C22×D7314yescomplemented
1947C4×Q8—732no—
1948C4×Q8—734no—
1949C4×Q8—732no—
1950C4×D4—734no—
1951C4×D4—732no—
1952C4×D4—734no—
1953C4×D4—734no—
1954C4×D4—732no—
1955C4×D4—734no—
1956C4×D4—734no—
1957C4×D4—734no—
1958C4×D4—734no—
1959C4×D4—734no—
1960C4×D4—734no—
1961C4×D4—734no—
1962C4×D4—734no—
1963C4×D4—732no—
1964C4×D4—732no—
1965C4×D4—732no—
1966C4×D4—732no—
1967C4×D4—732no—
1968C4×D4—732no—
1969C4×D4—734no—
1970C4×D4—734no—
1971C4×D4—734no—
1972C4×D4—734no—
1973C4×D4—734no—
1974C4×D4—734no—
1975C4×D4—732no—
1976C4×D4—732no—
1977C4×D4—734no—
1978C4×D4—732no—
1979C4×D4—734no—
1980C4×D4—732no—
1981C4×D4—732no—
1982C4×D4—734no—
1983C4×D4—734no—
1984C4×D4—732no—
1985C4×D4—734no—
1986C4×D4—734no—
1987C4×D4—732no—
1988C4×D4—734no—
1989C4×D4—734no—
1990C4×D4—734no—
1991C4×D4—734no—
1992C4×D4—734no—
1993C4×D4—734no—
1994C4×D4—734no—
1995C4×D4—732no—
1996C4×D4—732no—
1997C4×D4—734no—
1998C4×D4—734no—
1999C4×D4—732no—
2000C4×D4—734no—
2001C4×D4C22×D7312yes—
2002C4×D4C22×D7314yes—
2003C4×D4C22×D7312yescomplemented
2004C4×D4C22×D7314yescomplemented
2005C4×D4C22×D7312yescomplemented
2006C4×D4C22×D7312yescomplemented
2007#117—731no—
2008#117—734no—
2009#117—734no—
2010#117—732no—
2011#117—732no—
2012#117—731no—
2013#117—732no—
2014#117—731no—
2015#117—732no—
2016#117—734no—
2017#117—734no—
2018#117—732no—
2019#117—732no—
2020#117—734no—
2021#117—732no—
2022#117—734no—
2023#117—734no—
2024#117C22×D7311yescharacteristic, complemented
2025#117C22×D7312yescomplemented
2026C2×C4⋊C4—732no—
2027C2×C4⋊C4—731no—
2028C2×C4⋊C4—731no—
2029C2×C4⋊C4—732no—
2030C2×C4⋊C4—732no—
2031C2×C4⋊C4—734no—
2032C2×C4⋊C4—732no—
2033C2×C4⋊C4—732no—
2034C2×C4⋊C4—732no—
2035C2×C4⋊C4—732no—
2036C2×C4⋊C4—732no—
2037C2×C4⋊C4—731no—
2038C2×C4⋊C4—731no—
2039C2×C4⋊C4—732no—
2040C2×C4⋊C4—732no—
2041C2×C4⋊C4—732no—
2042C2×C4⋊C4C22×D7311yescharacteristic
2043C2×C4⋊C4C22×D7311yescharacteristic, complemented
2044C2×C22⋊C4—732no—
2045C2×C22⋊C4—732no—
2046C2×C22⋊C4—732no—
2047C2×C22⋊C4—734no—
2048C2×C22⋊C4—734no—
2049C2×C22⋊C4—734no—
2050C2×C22⋊C4—732no—
2051C2×C22⋊C4—732no—
2052C2×C22⋊C4—732no—
2053C2×C22⋊C4—732no—
2054C2×C22⋊C4—734no—
2055C2×C22⋊C4—734no—
2056C2×C22⋊C4—734no—
2057C2×C22⋊C4—734no—
2058C2×C22⋊C4—734no—
2059C2×C22⋊C4—734no—
2060C2×C22⋊C4—734no—
2061C2×C22⋊C4—732no—
2062C2×C22⋊C4—732no—
2063C2×C22⋊C4—732no—
2064C2×C22⋊C4—732no—
2065C2×C22⋊C4—732no—
2066C2×C22⋊C4—734no—
2067C2×C22⋊C4—734no—
2068C2×C22⋊C4—734no—
2069C2×C22⋊C4—734no—
2070C2×C22⋊C4C22×D7312yes—
2071C2×C22⋊C4C22×D7312yescomplemented
2072C2×C42—732no—
2073C2×C42—732no—
2074C24—2922no—
2075C24—2924no—
2076C24—2922no—
2077C24—2924no—
2078C24—2924no—
2079C24—734no—
2080C24—731no—
2081C24—732no—
2082C24—734no—
2083C24—734no—
2084C24—732no—
2085C24—731no—
2086C24—731no—
2087C24—731no—
2088C24—731no—
2089C24—731no—
2090C24—1464no—
2091C24C23×D7311yescharacteristic
2092C24C23×D7312yes—
2093C24C23×D7312yes—
2094C24C23×D7314yes—
2095#41—42no—
2096#41—2924no—
2097#41—2922no—
2098#41—2928no—
2099#41—2928no—
2100#41—2924no—
2101#41—2924no—
2102#41—2928no—
2103#41—2928no—
2104#41—2924no—
2105#41—2928no—
2106#41—2924no—
2107#41—2922no—
2108#41—2928no—
2109#41—2928no—
2110#41—2922no—
2111#41—2924no—
2112#41—1468no—
2113#41—1468no—
2114C2×Q8—2922no—
2115C2×Q8—2922no—
2116C2×Q8—732no—
2117C2×Q8—731no—
2118C2×Q8—734no—
2119C2×Q8—734no—
2120C2×Q8—732no—
2121C2×Q8—732no—
2122C2×Q8C23×D7311yescharacteristic
2123C2×D4—42no—
2124C2×D4—42no—
2125C2×D4—44no—
2126C2×D4—44no—
2127C2×D4—44no—
2128C2×D4—48no—
2129C2×D4—48no—
2130C2×D4—2922no—
2131C2×D4—2924no—
2132C2×D4—2928no—
2133C2×D4—2924no—
2134C2×D4—2928no—
2135C2×D4—2928no—
2136C2×D4—2924no—
2137C2×D4—2928no—
2138C2×D4—2928no—
2139C2×D4—2928no—
2140C2×D4—2924no—
2141C2×D4—2928no—
2142C2×D4—2924no—
2143C2×D4—2924no—
2144C2×D4—2928no—
2145C2×D4—2928no—
2146C2×D4—2928no—
2147C2×D4—2924no—
2148C2×D4—2924no—
2149C2×D4—2924no—
2150C2×D4—2928no—
2151C2×D4—2924no—
2152C2×D4—2922no—
2153C2×D4—2924no—
2154C2×D4—2928no—
2155C2×D4—734no—
2156C2×D4—732no—
2157C2×D4—732no—
2158C2×D4—734no—
2159C2×D4—734no—
2160C2×D4—734no—
2161C2×D4—734no—
2162C2×D4—734no—
2163C2×D4—734no—
2164C2×D4—734no—
2165C2×D4—734no—
2166C2×D4—734no—
2167C2×D4—734no—
2168C2×D4—734no—
2169C2×D4—732no—
2170C2×D4—732no—
2171C2×D4—734no—
2172C2×D4—734no—
2173C2×D4—732no—
2174C2×D4—734no—
2175C2×D4—732no—
2176C2×D4—734no—
2177C2×D4—734no—
2178C2×D4—734no—
2179C2×D4—732no—
2180C2×D4—734no—
2181C2×D4—732no—
2182C2×D4—731no—
2183C2×D4—732no—
2184C2×D4—734no—
2185C2×D4—732no—
2186C2×D4—732no—
2187C2×D4—734no—
2188C2×D4—732no—
2189C2×D4—1468no—
2190C2×D4—14616no—
2191C2×D4—1468no—
2192C2×D4—1468no—
2193C2×D4C23×D7314yes—
2194C2×D4C23×D7312yes—
2195C2×D4C23×D7312yes—
2196C2×D4C23×D7314yes—
2197C2×D4C23×D7312yes—
2198C2×D4C23×D7312yes—
2199C2×D4C23×D7314yes—
2200C2×D4C23×D7314yes—
2201C2×D4C23×D7314yes—
2202C2×D4C23×D7312yes—
2203C2×D4C23×D7312yes—
2204C2×D4C23×D7314yes—
2205C2×D4C23×D7314yes—
2206C2×D4C23×D7311yescharacteristic
2207C2×D4C23×D7312yes—
2208C2×D4C23×D7314yes—
2209C2×D4C23×D7314yes—
2210C22×C4—42no—
2211C22×C4—2922no—
2212C22×C4—2922no—
2213C22×C4—2922no—
2214C22×C4—2924no—
2215C22×C4—2922no—
2216C22×C4—2922no—
2217C22×C4—2922no—
2218C22×C4—2924no—
2219C22×C4—2922no—
2220C22×C4—2922no—
2221C22×C4—2922no—
2222C22×C4—2922no—
2223C22×C4—2924no—
2224C22×C4—731no—
2225C22×C4—731no—
2226C22×C4—732no—
2227C22×C4—732no—
2228C22×C4—734no—
2229C22×C4—732no—
2230C22×C4—734no—
2231C22×C4—734no—
2232C22×C4—734no—
2233C22×C4—734no—
2234C22×C4—731no—
2235C22×C4—732no—
2236C22×C4—731no—
2237C22×C4—731no—
2238C22×C4—731no—
2239C22×C4—732no—
2240C22×C4—734no—
2241C22×C4—731no—
2242C22×C4—734no—
2243C22×C4—732no—
2244C22×C4—734no—
2245C22×C4—734no—
2246C22×C4—734no—
2247C22×C4—731no—
2248C22×C4—731no—
2249C22×C4—731no—
2250C22×C4—731no—
2251C22×C4—732no—
2252C22×C4—731no—
2253C22×C4—734no—
2254C22×C4—731no—
2255C22×C4—731no—
2256C22×C4—732no—
2257C22×C4—731no—
2258C22×C4—731no—
2259C22×C4—734no—
2260C22×C4—731no—
2261C22×C4—731no—
2262C22×C4—731no—
2263C22×C4—731no—
2264C22×C4—732no—
2265C22×C4—731no—
2266C22×C4—731no—
2267C22×C4—1464no—
2268C22×C4—1464no—
2269C22×C4—1464no—
2270C22×C4C23×D7311yescharacteristic
2271C22×C4C23×D7311yescharacteristic
2272C22×C4C23×D7312yes—
2273C22×C4C23×D7311yescharacteristic
2274C22×C4C23×D7312yes—
2275C22×C4C23×D7311yescharacteristic
2276C22×C4C23×D7314yes—
2277C22×C4C23×D7312yes—
2278C22×C4C23×D7314yes—
2279C22×C4C23×D7311yescharacteristic
2280C22×C4C23×D7311yescharacteristic
2281C4⋊C4—734no—
2282C4⋊C4—732no—
2283C4⋊C4—734no—
2284C4⋊C4—732no—
2285C4⋊C4—732no—
2286C4⋊C4—732no—
2287C4⋊C4—734no—
2288C4⋊C4—734no—
2289C4⋊C4—732no—
2290C4⋊C4—732no—
2291C4⋊C4—734no—
2292C4⋊C4—734no—
2293C4⋊C4—734no—
2294C4⋊C4—734no—
2295C4⋊C4—734no—
2296C4⋊C4—734no—
2297C4⋊C4—732no—
2298C4⋊C4—732no—
2299C4⋊C4—732no—
2300C4⋊C4—732no—
2301C4⋊C4—734no—
2302C4⋊C4—732no—
2303C4⋊C4—731no—
2304C4⋊C4—731no—
2305C4⋊C4—732no—
2306C4⋊C4—734no—
2307C4⋊C4—734no—
2308C4⋊C4—734no—
2309C4⋊C4—734no—
2310C4⋊C4—734no—
2311C4⋊C4C23×D7312yes—
2312C4⋊C4C23×D7312yes—
2313C4⋊C4C23×D7311yescharacteristic
2314C4⋊C4C23×D7311yescharacteristic
2315C4⋊C4C23×D7312yes—
2316C4⋊C4C23×D7312yes—
2317C4⋊C4C23×D7312yes—
2318C4⋊C4C23×D7312yes—
2319C4⋊C4C23×D7314yes—
2320C4⋊C4C23×D7314yes—
2321C22⋊C4—734no—
2322C22⋊C4—734no—
2323C22⋊C4—734no—
2324C22⋊C4—732no—
2325C22⋊C4—734no—
2326C22⋊C4—732no—
2327C22⋊C4—734no—
2328C22⋊C4—734no—
2329C22⋊C4—732no—
2330C22⋊C4—732no—
2331C22⋊C4—734no—
2332C22⋊C4—734no—
2333C22⋊C4—734no—
2334C22⋊C4—734no—
2335C22⋊C4—734no—
2336C22⋊C4—734no—
2337C22⋊C4—732no—
2338C22⋊C4—734no—
2339C22⋊C4—734no—
2340C22⋊C4—734no—
2341C22⋊C4—732no—
2342C22⋊C4—732no—
2343C22⋊C4—734no—
2344C22⋊C4—732no—
2345C22⋊C4—734no—
2346C22⋊C4—732no—
2347C22⋊C4—732no—
2348C22⋊C4—734no—
2349C22⋊C4—734no—
2350C22⋊C4—734no—
2351C22⋊C4—734no—
2352C22⋊C4—734no—
2353C22⋊C4—734no—
2354C22⋊C4—734no—
2355C22⋊C4—734no—
2356C22⋊C4—734no—
2357C22⋊C4—734no—
2358C22⋊C4—734no—
2359C22⋊C4—732no—
2360C22⋊C4—732no—
2361C22⋊C4—732no—
2362C22⋊C4—732no—
2363C22⋊C4—732no—
2364C22⋊C4—734no—
2365C22⋊C4C23×D7312yes—
2366C22⋊C4C23×D7314yes—
2367C22⋊C4C23×D7314yes—
2368C22⋊C4C23×D7312yes—
2369C22⋊C4C23×D7312yes—
2370C22⋊C4C23×D7314yes—
2371C22⋊C4C23×D7312yes—
2372C22⋊C4C23×D7314yes—
2373C22⋊C4C23×D7314yes—
2374C22⋊C4C23×D7312yes—
2375C22⋊C4C23×D7314yes—
2376C22⋊C4C23×D7314yes—
2377C22⋊C4C23×D7314yes—
2378C22⋊C4C23×D7314yes—
2379C42—732no—
2380C42—732no—
2381C42—734no—
2382C42—734no—
2383C42—732no—
2384C42—734no—
2385C42—734no—
2386C42—734no—
2387C42C23×D7312yes—
2388C42C23×D7314yes—
2389C23—22no—
2390C23—22no—
2391C23—24no—
2392C23—24no—
2393C23—41no—
2394C23—42no—
2395C23—42no—
2396C23—42no—
2397C23—42no—
2398C23—44no—
2399C23—44no—
2400C23—44no—
2401C23—2921no—
2402C23—2921no—
2403C23—2921no—
2404C23—2921no—
2405C23—2921no—
2406C23—2921no—
2407C23—2921no—
2408C23—2922no—
2409C23—2922no—
2410C23—2922no—
2411C23—2924no—
2412C23—2924no—
2413C23—2922no—
2414C23—2924no—
2415C23—2924no—
2416C23—2924no—
2417C23—2924no—
2418C23—2924no—
2419C23—29216no—
2420C23—58416no—
2421C23—734no—
2422C23—731no—
2423C23—731no—
2424C23—731no—
2425C23—734no—
2426C23—731no—
2427C23—732no—
2428C23—1462no—
2429C23—1462no—
2430C23—1462no—
2431C23—1462no—
2432C23—1462no—
2433C23—1464no—
2434C23—1468no—
2435C23—1468no—
2436C23—1462no—
2437C23—1462no—
2438C23—1462no—
2439C23—1462no—
2440C23—1464no—
2441C23—1462no—
2442C23C24×D7314yes—
2443C23C24×D7311yescharacteristic
2444C23C24×D7312yes—
2445C23C24×D7314yes—
2446C23C24×D7311yescharacteristic
2447C23C24×D7311yescharacteristic
2448Q8—41no—
2449Q8—2922no—
2450Q8—2921no—
2451Q8—2924no—
2452Q8—2924no—
2453Q8—1464no—
2454Q8—1464no—
2455D4—28no—
2456D4—24no—
2457D4—28no—
2458D4—24no—
2459D4—24no—
2460D4—24no—
2461D4—42no—
2462D4—44no—
2463D4—44no—
2464D4—44no—
2465D4—44no—
2466D4—42no—
2467D4—44no—
2468D4—44no—
2469D4—44no—
2470D4—41no—
2471D4—42no—
2472D4—2922no—
2473D4—2924no—
2474D4—2921no—
2475D4—2924no—
2476D4—2922no—
2477D4—2924no—
2478D4—2924no—
2479D4—2924no—
2480D4—2924no—
2481D4—2924no—
2482D4—2924no—
2483D4—2924no—
2484D4—2924no—
2485D4—2924no—
2486D4—2924no—
2487D4—2922no—
2488D4—2924no—
2489D4—2924no—
2490D4—2922no—
2491D4—1468no—
2492D4—1464no—
2493D4—1464no—
2494D4—1468no—
2495D4—1464no—
2496D4—1468no—
2497D4—1464no—
2498D4—1468no—
2499D4—1468no—
2500D4—1468no—
2501D4—1464no—
2502D4—1468no—
2503D4—1464no—
2504D4—1464no—
2505D4—1464no—
2506C2×C4—22no—
2507C2×C4—22no—
2508C2×C4—22no—
2509C2×C4—24no—
2510C2×C4—41no—
2511C2×C4—41no—
2512C2×C4—41no—
2513C2×C4—42no—
2514C2×C4—44no—
2515C2×C4—42no—
2516C2×C4—44no—
2517C2×C4—2921no—
2518C2×C4—2921no—
2519C2×C4—2921no—
2520C2×C4—2921no—
2521C2×C4—2921no—
2522C2×C4—2921no—
2523C2×C4—2924no—
2524C2×C4—2922no—
2525C2×C4—2922no—
2526C2×C4—2924no—
2527C2×C4—2924no—
2528C2×C4—2924no—
2529C2×C4—2924no—
2530C2×C4—2922no—
2531C2×C4—2921no—
2532C2×C4—2921no—
2533C2×C4—2921no—
2534C2×C4—2922no—
2535C2×C4—2922no—
2536C2×C4—2922no—
2537C2×C4—2924no—
2538C2×C4—2924no—
2539C2×C4—2924no—
2540C2×C4—2924no—
2541C2×C4—2924no—
2542C2×C4—731no—
2543C2×C4—734no—
2544C2×C4—732no—
2545C2×C4—731no—
2546C2×C4—731no—
2547C2×C4—732no—
2548C2×C4—734no—
2549C2×C4—732no—
2550C2×C4—734no—
2551C2×C4—734no—
2552C2×C4—731no—
2553C2×C4—1462no—
2554C2×C4—1462no—
2555C2×C4—1462no—
2556C2×C4—1462no—
2557C2×C4—1462no—
2558C2×C4—1462no—
2559C2×C4—1468no—
2560C2×C4—1464no—
2561C2×C4—1462no—
2562C2×C4—1462no—
2563C2×C4—1462no—
2564C2×C4—1468no—
2565C2×C4—1464no—
2566C2×C4—1462no—
2567C2×C4—1462no—
2568C2×C4—1462no—
2569C2×C4—1464no—
2570C2×C4C24×D7314yes—
2571C2×C4C24×D7312yes—
2572C2×C4C24×D7312yes—
2573C2×C4C24×D7314yes—
2574C2×C4C24×D7312yes—
2575C2×C4C24×D7311yescharacteristic
2576C2×C4C24×D7311yescharacteristic
2577C2×C4C24×D7311yescharacteristic
2578C2×C4C24×D7311yescharacteristic
2579C22—21no—
2580C22—21no—
2581C22—21no—
2582C22—21no—
2583C22—21no—
2584C22—22no—
2585C22—24no—
2586C22—22no—
2587C22—24no—
2588C22—24no—
2589C22—24no—
2590C22—21no—
2591C22—24no—
2592C22—24no—
2593C22—22no—
2594C22—21no—
2595C22—44no—
2596C22—84no—
2597C22—84no—
2598C22—164no—
2599C22—2924no—
2600C22—2924no—
2601C22—2924no—
2602C22—2924no—
2603C22—2924no—
2604C22—5844no—
2605C22—5848no—
2606C22—5848no—
2607C22—5844no—
2608C22—732no—
2609C22—732no—
2610C22—732no—
2611C22—11684no—
2612C22—1468no—
2613C22—1461no—
2614C22—1462no—
2615C22—1462no—
2616C22—1464no—
2617C22—1464no—
2618C22—1461no—
2619C22—1464no—
2620C22—1461no—
2621C22—1462no—
2622C22—1461no—
2623C22—1461no—
2624C22—1461no—
2625C22—1461no—
2626C22—1461no—
2627C22—1461no—
2628C22H(5,𝔽2)×D7312yes—
2629C22#1798942212yes—
2630C22C25×D7311yescharacteristic
2631C4—21no—
2632C4—21no—
2633C4—21no—
2634C4—22no—
2635C4—24no—
2636C4—22no—
2637C4—24no—
2638C4—22no—
2639C4—732no—
2640C4—1461no—
2641C4—1461no—
2642C4—1461no—
2643C4—1464no—
2644C4—1462no—
2645C4—1464no—
2646C4—1464no—
2647C4—1462no—
2648C4—1462no—
2649C4H(5,𝔽2)×D7312yes—
2650C2—22no—
2651C2—22no—
2652C2—41no—
2653C2—44no—
2654C2—44no—
2655C2—42no—
2656C2—2921no—
2657C2—2924no—
2658C2—2922no—
2659C2—1462no—
2660C2—1462no—
2661C2—1462no—
2662C2C2×H(5,𝔽2)×D7311yescharacteristic
2663C2C2×H(5,𝔽2)×D7311yescharacteristic
2664C2C2×#1798942211yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3537C2
hypercenter#3537D73
hypocenterC73#62818
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3537

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #22624253C2semidirect
2. #22624249C2semidirect
3. #22624236C2semidirect
4. #22624168C2semidirect
5. #22624166C2semidirect
6. #22624158C2semidirect
7. #22624153C2semidirect
8. #22624152C2semidirect
9. #22624122C2semidirect
10. #22624118C2semidirect
11. #22624112C2semidirect
12. #22623956C2semidirect
13. #22623954C2semidirect
14. #22623950C2semidirect
15. #22623769C2semidirect
16. #22623760C2semidirect
17. #22623692C2semidirect
18. #22623687C2semidirect
19. #22623662C2semidirect
20. #22623658C2semidirect
21. #22623635C2semidirect
22. #22623619C2semidirect
23. #22623617C2semidirect
24. #22623598C2semidirect
25. #22623591C2semidirect
26. #22623559C2semidirect
27. #22623559C2semidirect
28. C2×#17989097C2semidirect
29. #525×D73C2semidirect
30. C2×#121×D73C2semidirect
31. C73×#3537C2semidirect
32. C2×#14556636C22semidirect
33. C2×#14556636C22semidirect
34. C22×#11924027C22semidirect
35. C2×#41×D73C22semidirect
36. C22×D4×D73C22semidirect
37. C22×D4×D73C22semidirect
38. C23×C4×D73C22semidirect
39. #17989334C22semidirect
40. #17989334C22semidirect
41. #17989332C22semidirect
42. #17989331C22semidirect
43. #17989327C22semidirect
44. #17989326C22semidirect
45. #17989325C22semidirect
46. #17989302C22semidirect
47. #17989301C22semidirect
48. #17989300C22semidirect
49. #17989296C22semidirect
50. #17989294C22semidirect
51. #17989292C22semidirect
52. #17989290C22semidirect
53. #17989289C22semidirect
54. #17989289C22semidirect
55. #17989289C22semidirect
56. #17989288C22semidirect
57. #17989285C22semidirect
58. #17989284C22semidirect
59. #17989283C22semidirect
60. #17989282C22semidirect
61. #17989280C22semidirect
62. #17989280C22semidirect
63. #17989276C22semidirect
64. #17989275C22semidirect
65. #17989273C22semidirect
66. #17989267C22semidirect
67. #17989265C22semidirect
68. #17989262C22semidirect
69. #17989262C22semidirect
70. #17989260C22semidirect
71. #17989260C22semidirect
72. #17989260C22semidirect
73. #17989260C22semidirect
74. #17989257C22semidirect
75. #17989257C22semidirect
76. #17989255C22semidirect
77. #17989246C22semidirect
78. #17989245C22semidirect
79. #17989243C22semidirect
80. #17989242C22semidirect
81. #17989241C22semidirect
82. #17989237C22semidirect
83. #17989237C22semidirect
84. #17989235C22semidirect
85. #17989235C22semidirect
86. #17989234C22semidirect
87. #17989234C22semidirect
88. #17989234C22semidirect
89. #17989233C22semidirect
90. #17989233C22semidirect
91. #17989232C22semidirect
92. #17989232C22semidirect
93. #17989232C22semidirect
94. #17989231C22semidirect
95. #17989231C22semidirect
96. #17989231C22semidirect
97. #17989231C22semidirect
98. #17989230C22semidirect
99. #17989229C22semidirect
100. #17989229C22semidirect
101. #17989226C22semidirect
102. #17989226C22semidirect
103. #17989226C22semidirect
104. #17989226C22semidirect
105. #17989224C22semidirect
106. #17989224C22semidirect
107. #17989224C22semidirect
108. #17989224C22semidirect
109. #17989224C22semidirect
110. #17989224C22semidirect
111. #17989224C22semidirect
112. #17989224C22semidirect
113. #17989224C22semidirect
114. #17989224C22semidirect
115. #17989222C22semidirect
116. #17989222C22semidirect
117. #17989221C22semidirect
118. #17989221C22semidirect
119. D4×C22⋊D73C22semidirect
120. D4×C22⋊D73C22semidirect
121. D4×C22⋊D73C22semidirect
122. D4×C22⋊D73C22semidirect
123. D4×C22⋊D73C22semidirect
124. D4×C22⋊D73C22semidirect
125. #17989219C22semidirect
126. #17989219C22semidirect
127. #17989219C22semidirect
128. #17989219C22semidirect
129. #17989217C22semidirect
130. #17989213C22semidirect
131. #17989212C22semidirect
132. #17989208C22semidirect
133. #17989204C22semidirect
134. #17989203C22semidirect
135. #17989191C22semidirect
136. #17989190C22semidirect
137. #17989190C22semidirect
138. #17989190C22semidirect
139. #17989189C22semidirect
140. #17989189C22semidirect
141. #17989186C22semidirect
142. #17989182C22semidirect
143. #17989180C22semidirect
144. #17989178C22semidirect
145. #17989178C22semidirect
146. #17989176C22semidirect
147. #17989175C22semidirect
148. #17989175C22semidirect
149. #17989174C22semidirect
150. #17989174C22semidirect
151. #17989174C22semidirect
152. #17989174C22semidirect
153. #17989173C22semidirect
154. #17989172C22semidirect
155. #17989172C22semidirect
156. #17989172C22semidirect
157. #17989166C22semidirect
158. #17989166C22semidirect
159. #17989166C22semidirect
160. #17989165C22semidirect
161. #17989164C22semidirect
162. #17989164C22semidirect
163. #17989164C22semidirect
164. #17989153C22semidirect
165. #17989153C22semidirect
166. #17989153C22semidirect
167. #17989152C22semidirect
168. #17989150C22semidirect
169. #17989150C22semidirect
170. #17989149C22semidirect
171. #17989147C22semidirect
172. #17989147C22semidirect
173. #17989147C22semidirect
174. #17989147C22semidirect
175. #17989145C22semidirect
176. #17989145C22semidirect
177. #17989145C22semidirect
178. #17989145C22semidirect
179. #17989135C22semidirect
180. #17989134C22semidirect
181. #17989132C22semidirect
182. #17989122C22semidirect
183. #17989119C22semidirect
184. #17989117C22semidirect
185. #17989100C22semidirect
186. #17989100C22semidirect
187. #17989099C22semidirect
188. #17989099C22semidirect
189. #17989098C22semidirect
190. #17989097C22semidirect
191. #17989097C22semidirect
192. #17989097C22semidirect
193. #17989097C22semidirect
194. #17989097C22semidirect
195. #17989097C22semidirect
196. #17989097C22semidirect
197. #17989097C22semidirect
198. #17989097C22semidirect
199. #17989097C22semidirect
200. #17989097C22semidirect
201. #17989097C22semidirect
202. #17989096C22semidirect
203. #17989096C22semidirect
204. #17989096C22semidirect
205. #17989095C22semidirect
206. #17989094C22semidirect
207. #17989093C22semidirect
208. #17989093C22semidirect
209. C2×#14556573C22semidirect
210. #123×D73C22semidirect
211. C2×#14556571C22semidirect
212. C2×#14556570C22semidirect
213. C22⋊Q8×D73C22semidirect
214. C22⋊Q8×D73C22semidirect
215. C2×#14556566C22semidirect
216. C2×#14556565C22semidirect
217. C2×#14556564C22semidirect
218. C2×#14556563C22semidirect
219. C2×#14556563C22semidirect
220. C2×#14556562C22semidirect
221. C2×#14556562C22semidirect
222. C2×#14556562C22semidirect
223. #121×D73C22semidirect
224. #121×D73C22semidirect
225. #121×D73C22semidirect
226. #121×D73C22semidirect
227. #121×D73C22semidirect
228. #121×D73C22semidirect
229. #121×D73C22semidirect
230. #121×D73C22semidirect
231. #121×D73C22semidirect
232. #121×D73C22semidirect
233. #121×D73C22semidirect
234. C2×#14556559C22semidirect
235. C2×#14556559C22semidirect
236. #120×D73C22semidirect
237. #120×D73C22semidirect
238. #17989067C22semidirect
239. #17989066C22semidirect
240. #17989062C22semidirect
241. #17989059C22semidirect
242. #17989059C22semidirect
243. #17989059C22semidirect
244. C2×D4×Dic73C22semidirect
245. C2×#14556551C22semidirect
246. C4×D4×D73C22semidirect
247. C4×D4×D73C22semidirect
248. C2×#14556549C22semidirect
249. #117×D73C22semidirect
250. C2×C4⋊C4×D73C22semidirect
251. C2×C22⋊C4×D73C22semidirect
252. #560×C73C22semidirect
253. #553×C73C22semidirect
254. #553×C73C22semidirect
255. D42×C73C22semidirect
256. D42×C73C22semidirect
257. D42×C73C22semidirect
258. #540×C73C22semidirect
259. #538×C73C22semidirect
260. #538×C73C22semidirect
261. #535×C73C22semidirect
262. #534×C73C22semidirect
263. #534×C73C22semidirect
264. #525×C73C22semidirect
265. C2×#121×C73C22semidirect
266. C2×#121×C73C22semidirect
274. C2×#11924028C23semidirect
275. C2×#11924028C23semidirect
276. C2×#11924028C23semidirect
282. C2×#11924027C23semidirect
283. C2×#11924027C23semidirect
284. C2×#11924027C23semidirect
285. C2×#11924027C23semidirect
286. C2×#11924027C23semidirect
287. C2×#11924027C23semidirect
288. C2×#11924027C23semidirect
289. C2×#11924027C23semidirect
291. C22×Dic146C23semidirect
292. C2×Q8×D73C23semidirect
302. C22×C22⋊D73C23semidirect
303. C22×C22⋊D73C23semidirect
304. C22×C22⋊D73C23semidirect
321. C2×D4×D73C23semidirect
322. C2×D4×D73C23semidirect
323. C2×D4×D73C23semidirect
325. C23×Dic73C23semidirect
340. C22×C4×D73C23semidirect
341. #14556591C23semidirect
342. #14556590C23semidirect
343. #14556590C23semidirect
344. #14556587C23semidirect
345. #14556587C23semidirect
346. #14556587C23semidirect
347. #14556587C23semidirect
348. #14556587C23semidirect
349. #14556586C23semidirect
350. #14556586C23semidirect
351. #14556586C23semidirect
352. #14556586C23semidirect
353. #14556586C23semidirect
354. #14556584C23semidirect
355. #14556584C23semidirect
356. #14556584C23semidirect
357. #14556584C23semidirect
358. #14556584C23semidirect
359. #14556583C23semidirect
360. #14556582C23semidirect
361. #14556582C23semidirect
362. #14556582C23semidirect
363. #14556581C23semidirect
364. #14556581C23semidirect
365. #14556579C23semidirect
366. #14556579C23semidirect
367. #14556578C23semidirect
368. #14556578C23semidirect
369. #14556578C23semidirect
370. #14556577C23semidirect
371. #14556577C23semidirect
372. #14556577C23semidirect
373. #14556577C23semidirect
374. #14556577C23semidirect
375. #14556577C23semidirect
376. #14556577C23semidirect
377. #14556577C23semidirect
378. #14556577C23semidirect
382. #14556576C23semidirect
383. #14556576C23semidirect
384. #14556576C23semidirect
385. #14556576C23semidirect
386. #14556575C23semidirect
387. #14556575C23semidirect
388. #14556575C23semidirect
389. #14556575C23semidirect
390. #14556575C23semidirect
391. #14556575C23semidirect
392. #14556575C23semidirect
393. #14556575C23semidirect
394. #14556575C23semidirect
395. #14556574C23semidirect
403. #14556573C23semidirect
404. #14556573C23semidirect
405. #14556573C23semidirect
406. #14556573C23semidirect
407. #14556573C23semidirect
408. #14556573C23semidirect
409. #14556573C23semidirect
410. #14556573C23semidirect
411. #14556573C23semidirect
412. #14556572C23semidirect
413. #14556572C23semidirect
414. #14556572C23semidirect
415. #14556572C23semidirect
416. #14556572C23semidirect
417. #14556572C23semidirect
422. #14556571C23semidirect
423. #14556571C23semidirect
424. #14556571C23semidirect
425. #14556571C23semidirect
426. #14556571C23semidirect
431. #14556570C23semidirect
432. #14556570C23semidirect
433. #14556570C23semidirect
434. #14556570C23semidirect
435. #14556570C23semidirect
438. #14556569C23semidirect
439. #14556569C23semidirect
440. #14556569C23semidirect
441. #14556569C23semidirect
444. #14556568C23semidirect
445. #14556568C23semidirect
446. #14556568C23semidirect
447. #14556568C23semidirect
448. #14556568C23semidirect
449. #14556568C23semidirect
450. #14556568C23semidirect
451. #14556568C23semidirect
453. #14556567C23semidirect
454. #14556567C23semidirect
460. #14556566C23semidirect
461. #14556566C23semidirect
462. #14556566C23semidirect
468. #14556565C23semidirect
469. #14556565C23semidirect
470. #14556565C23semidirect
471. #14556565C23semidirect
472. #14556565C23semidirect
473. #14556565C23semidirect
480. #14556564C23semidirect
481. #14556564C23semidirect
482. #14556564C23semidirect
483. #14556564C23semidirect
484. #14556564C23semidirect
485. #14556564C23semidirect
486. #14556564C23semidirect
487. #14556564C23semidirect
494. #14556563C23semidirect
495. #14556563C23semidirect
496. #14556563C23semidirect
497. #14556563C23semidirect
498. #14556563C23semidirect
499. #14556563C23semidirect
500. #14556563C23semidirect
501. #14556563C23semidirect
502. #14556563C23semidirect
503. #14556563C23semidirect
504. #14556563C23semidirect
505. #14556563C23semidirect
506. #14556563C23semidirect
507. #14556563C23semidirect
508. #14556563C23semidirect
509. #14556563C23semidirect
510. #14556563C23semidirect
511. #14556563C23semidirect
512. #14556563C23semidirect
521. #14556562C23semidirect
522. #14556562C23semidirect
523. #14556562C23semidirect
524. #14556562C23semidirect
525. #14556562C23semidirect
526. #14556562C23semidirect
527. #14556562C23semidirect
528. #14556562C23semidirect
529. #14556562C23semidirect
530. #14556562C23semidirect
531. #14556562C23semidirect
532. #14556562C23semidirect
533. #14556562C23semidirect
539. #14556561C23semidirect
540. #14556561C23semidirect
541. #14556561C23semidirect
542. #14556561C23semidirect
545. #14556560C23semidirect
546. #14556560C23semidirect
547. #14556560C23semidirect
563. #14556559C23semidirect
564. #14556559C23semidirect
565. #14556559C23semidirect
566. #14556559C23semidirect
567. C4×Dic146C23semidirect
568. C4×Dic146C23semidirect
569. #14556556C23semidirect
572. C4×D292C23semidirect
573. C4×D292C23semidirect
574. C4×D292C23semidirect
575. C4×D292C23semidirect
581. D4×Dic73C23semidirect
582. D4×Dic73C23semidirect
583. D4×Dic73C23semidirect
584. D4×Dic73C23semidirect
585. D4×Dic73C23semidirect
586. D4×Dic73C23semidirect
587. D4×Dic73C23semidirect
588. D4×Dic73C23semidirect
589. D4×Dic73C23semidirect
590. D4×Dic73C23semidirect
592. #14556553C23semidirect
593. #14556553C23semidirect
594. #14556553C23semidirect
595. #14556553C23semidirect
600. C4×C22⋊D73C23semidirect
601. C4×C22⋊D73C23semidirect
602. C4×C22⋊D73C23semidirect
603. C4×C22⋊D73C23semidirect
604. C4×C22⋊D73C23semidirect
605. C4×C22⋊D73C23semidirect
612. #14556551C23semidirect
613. #14556551C23semidirect
614. #14556551C23semidirect
615. #14556551C23semidirect
616. #14556551C23semidirect
617. #14556551C23semidirect
618. #14556551C23semidirect
619. #14556551C23semidirect
620. #14556551C23semidirect
621. #14556550C23semidirect
622. #14556550C23semidirect
623. #14556550C23semidirect
629. #14556549C23semidirect
630. #14556549C23semidirect
631. #14556549C23semidirect
632. #14556549C23semidirect
635. #14556548C23semidirect
636. #14556547C23semidirect
637. #14556547C23semidirect
639. C2×C4⋊Dic73C23semidirect
640. C2×C4⋊Dic73C23semidirect
641. C2×C4⋊Dic73C23semidirect
643. C2×#11924007C23semidirect
644. C2×#11924007C23semidirect
649. C4⋊C4×D73C23semidirect
650. C4⋊C4×D73C23semidirect
651. C4⋊C4×D73C23semidirect
652. C4⋊C4×D73C23semidirect
653. C4⋊C4×D73C23semidirect
657. C2×C22⋊Dic73C23semidirect
658. C2×C22⋊Dic73C23semidirect
659. C2×C22⋊Dic73C23semidirect
666. C2×#11924005C23semidirect
677. C22⋊C4×D73C23semidirect
678. C22⋊C4×D73C23semidirect
679. C22⋊C4×D73C23semidirect
680. C2×C4×Dic73C23semidirect
681. C42×D73C23semidirect
682. C2×#41×C73C23semidirect
687. C22×D4×C73C23semidirect
688. C22×D4×C73C23semidirect
689. C22×D4×C73C23semidirect
691. #127×C73C23semidirect
692. #127×C73C23semidirect
693. #126×C73C23semidirect
694. #126×C73C23semidirect
695. #125×C73C23semidirect
696. #124×C73C23semidirect
697. #123×C73C23semidirect
698. #123×C73C23semidirect
699. #123×C73C23semidirect
700. #123×C73C23semidirect
701. #123×C73C23semidirect
703. C22⋊Q8×C73C23semidirect
712. #121×C73C23semidirect
713. #121×C73C23semidirect
714. #121×C73C23semidirect
715. #121×C73C23semidirect
716. #121×C73C23semidirect
717. #121×C73C23semidirect
718. #121×C73C23semidirect
719. #121×C73C23semidirect
720. #121×C73C23semidirect
721. #121×C73C23semidirect
724. #120×C73C23semidirect
725. #120×C73C23semidirect
726. #120×C73C23semidirect
727. #120×C73C23semidirect
728. #120×C73C23semidirect
731. C4×D4×C73C23semidirect
732. C4×D4×C73C23semidirect
733. C4×D4×C73C23semidirect
734. C4×D4×C73C23semidirect
735. #117×C73C23semidirect
736. #117×C73C23semidirect
738. C2×C4⋊C4×C73C23semidirect
740. C2×C22⋊C4×C73C23semidirect
1108. C22×D73H(5,𝔽2)semidirect
1239. C4×D73H(5,𝔽2)semidirect
1338. #3537D73semidirect
1364. C73#62818semidirect
1379. #560C2×D73semidirect
1397. #553C2×D73semidirect
1398. #553C2×D73semidirect
1465. D42C2×D73semidirect
1466. D42C2×D73semidirect
1467. D42C2×D73semidirect
1480. #540C2×D73semidirect
1497. #538C2×D73semidirect
1498. #538C2×D73semidirect
1512. #535C2×D73semidirect
1522. #534C2×D73semidirect
1523. #534C2×D73semidirect
1554. #525C2×D73semidirect
1580. C2×#121C2×D73semidirect
1581. C2×#121C2×D73semidirect
1624. C2×#41C22×D73semidirect
1662. C22×D4C22×D73semidirect
1663. C22×D4C22×D73semidirect
1664. C22×D4C22×D73semidirect
1691. #127C22×D73semidirect
1692. #127C22×D73semidirect
1703. #126C22×D73semidirect
1704. #126C22×D73semidirect
1711. #125C22×D73semidirect
1726. #124C22×D73semidirect
1766. #123C22×D73semidirect
1767. #123C22×D73semidirect
1768. #123C22×D73semidirect
1769. #123C22×D73semidirect
1770. #123C22×D73semidirect
1809. C22⋊Q8C22×D73semidirect
1897. #121C22×D73semidirect
1898. #121C22×D73semidirect
1899. #121C22×D73semidirect
1900. #121C22×D73semidirect
1901. #121C22×D73semidirect
1902. #121C22×D73semidirect
1903. #121C22×D73semidirect
1904. #121C22×D73semidirect
1905. #121C22×D73semidirect
1906. #121C22×D73semidirect
1942. #120C22×D73semidirect
1943. #120C22×D73semidirect
1944. #120C22×D73semidirect
1945. #120C22×D73semidirect
1946. #120C22×D73semidirect
2003. C4×D4C22×D73semidirect
2004. C4×D4C22×D73semidirect
2005. C4×D4C22×D73semidirect
2006. C4×D4C22×D73semidirect
2024. #117C22×D73semidirect
2025. #117C22×D73semidirect
2043. C2×C4⋊C4C22×D73semidirect
2071. C2×C22⋊C4C22×D73semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#226242532
#226242492
#226242362
#226241682
#226241662
#226241582
#226241532
#226241522
#226241222
#226241182
#226241122
#226239562
#226239542
#226239502
#226237692
#226237602
#226236922
#226236872
#226236622
#226236582
#226236352
#226236192
#226236172
#226235982
#226235912
#226235592
C2×#179890972
#525×D732
C2×#121×D732
C73×#35372
#6281873