Finite Group Databasebeta

← #33994613

Subgroups — #33994613

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#22624244C214yesmaximal, complemented
2#22624243C212yesmaximal, complemented
3#22624235C212yesmaximal, complemented
4#22624170C211yesmaximal, characteristic, complemented
5#22624166C211yesmaximal, characteristic, complemented
6#22624163C212yesmaximal, complemented
7#22624160C211yesmaximal, characteristic, complemented
8#22624157C212yesmaximal, complemented
9#22624126C212yesmaximal, complemented
10#22624123C214yesmaximal, complemented
11#22624110C212yesmaximal, complemented
12#22623964C212yesmaximal, complemented
13#22623960C212yesmaximal, complemented
14#22623952C214yesmaximal, complemented
15#22623767C212yesmaximal, complemented
16#22623763C212yesmaximal, complemented
17#22623694C212yesmaximal, complemented
18#22623689C212yesmaximal, complemented
19#22623664C212yesmaximal, complemented
20#22623655C212yesmaximal, complemented
21#22623639C212yesmaximal, complemented
22#22623621C212yesmaximal, complemented
23#22623617C212yesmaximal, complemented
24#22623597C212yesmaximal, complemented
25#22623595C212yesmaximal, complemented
26#22623561C214yesmaximal, complemented
27#22623561C212yesmaximal, complemented
28C2×#17989100C211yesmaximal, characteristic, complemented
29#525×D73C211yesmaximal, characteristic, complemented
30C2×#121×D73C211yesmaximal, characteristic, complemented
31C73×#3536C211yesmaximal, characteristic, complemented
32C2×#14556637C2212yescomplemented
33C2×#14556637C2214yescomplemented
34C22×#11924029C2211yescharacteristic, complemented
35C2×#41×D73C2211yescharacteristic, complemented
36C22×D4×D73C2211yescharacteristic, complemented
37C22×D4×D73C2212yescomplemented
38C23×C4×D73C2211yescharacteristic, complemented
39#17989333C2214yescomplemented
40#17989333C2214yescomplemented
41#17989333C2214yescomplemented
42#17989328C2214yescomplemented
43#17989327C2214yescomplemented
44#17989325C2214yescomplemented
45#17989325C2214yescomplemented
46#17989303C2212yescomplemented
47#17989301C2212yescomplemented
48#17989299C2214yescomplemented
49#17989295C2212yescomplemented
50#17989291C2214yescomplemented
51#17989290C2214yescomplemented
52#17989289C2212yescomplemented
53#17989288C2214yescomplemented
54#17989287C2212yescomplemented
55#17989286C2214yescomplemented
56#17989286C2214yescomplemented
57#17989285C2212yescomplemented
58#17989285C2212yescomplemented
59#17989283C2212yescomplemented
60#17989283C2212yescomplemented
61#17989282C2214yescomplemented
62#17989282C2214yescomplemented
63#17989280C2214yescomplemented
64#17989278C2212yescomplemented
65#17989271C2212yescomplemented
66#17989269C2214yescomplemented
67#17989267C2214yescomplemented
68#17989265C2214yescomplemented
69#17989264C2214yescomplemented
70#17989264C2214yescomplemented
71#17989264C2214yescomplemented
72#17989264C2214yescomplemented
73#17989262C2214yescomplemented
74#17989262C2214yescomplemented
75#17989259C2212yescomplemented
76#17989256C2212yescomplemented
77#17989255C2214yescomplemented
78#17989248C2212yescomplemented
79#17989247C2214yescomplemented
80#17989240C2212yescomplemented
81#17989239C2214yescomplemented
82#17989239C2214yescomplemented
83#17989238C2212yescomplemented
84#17989238C2212yescomplemented
85#17989234C2214yescomplemented
86#17989234C2214yescomplemented
87#17989230C2212yescomplemented
88#17989230C2214yescomplemented
89#17989230C2214yescomplemented
90#17989230C2212yescomplemented
91#17989229C2214yescomplemented
92#17989229C2214yescomplemented
93#17989229C2214yescomplemented
94#17989229C2214yescomplemented
95#17989229C2214yescomplemented
96#17989228C2214yescomplemented
97#17989228C2212yescomplemented
98#17989228C2214yescomplemented
99#17989228C2214yescomplemented
100#17989228C2214yescomplemented
101#17989228C2214yescomplemented
102#17989228C2212yescomplemented
103#17989228C2214yescomplemented
104#17989227C2214yescomplemented
105#17989227C2214yescomplemented
106#17989227C2214yescomplemented
107#17989226C2214yescomplemented
108#17989226C2214yescomplemented
109#17989225C2212yescomplemented
110#17989225C2214yescomplemented
111#17989225C2214yescomplemented
112D4×D292C2214yescomplemented
113D4×D292C2212yescomplemented
114D4×D292C2214yescomplemented
115D4×D292C2212yescomplemented
116D4×D292C2212yescomplemented
117#17989221C2212yescomplemented
118#17989221C2214yescomplemented
119#17989221C2212yescomplemented
120#17989221C2214yescomplemented
121#17989221C2214yescomplemented
122#17989221C2214yescomplemented
123#17989221C2214yescomplemented
124D4×C22⋊D73C2214yescomplemented
125D4×C22⋊D73C2212yescomplemented
126#17989219C2214yescomplemented
127#17989219C2214yescomplemented
128#17989219C2214yescomplemented
129#17989214C2212yescomplemented
130#17989212C2212yescomplemented
131#17989210C2212yescomplemented
132#17989207C2214yescomplemented
133#17989193C2214yescomplemented
134#17989192C2212yescomplemented
135#17989190C2212yescomplemented
136#17989189C2214yescomplemented
137#17989189C2214yescomplemented
138#17989187C2214yescomplemented
139#17989187C2214yescomplemented
140#17989185C2214yescomplemented
141#17989184C2212yescomplemented
142#17989183C2214yescomplemented
143#17989183C2214yescomplemented
144#17989177C2212yescomplemented
145#17989177C2212yescomplemented
146#17989177C2214yescomplemented
147#17989177C2212yescomplemented
148#17989177C2214yescomplemented
149#17989175C2212yescomplemented
150#17989174C2212yescomplemented
151#17989173C2214yescomplemented
152#17989172C2214yescomplemented
153#17989171C2214yescomplemented
154#17989171C2214yescomplemented
155#17989169C2214yescomplemented
156#17989168C2212yescomplemented
157#17989167C2212yescomplemented
158#17989167C2214yescomplemented
159#17989167C2214yescomplemented
160#17989167C2212yescomplemented
161#17989155C2212yescomplemented
162#17989155C2214yescomplemented
163#17989155C2214yescomplemented
164#17989153C2212yescomplemented
165#17989153C2212yescomplemented
166#17989153C2214yescomplemented
167#17989151C2212yescomplemented
168#17989149C2212yescomplemented
169#17989148C2214yescomplemented
170#17989148C2214yescomplemented
171#17989148C2214yescomplemented
172#17989148C2214yescomplemented
173#17989145C2212yescomplemented
174#17989145C2212yescomplemented
175#17989145C2214yescomplemented
176#17989145C2214yescomplemented
177#17989145C2214yescomplemented
178#17989145C2212yescomplemented
179#17989138C2212yescomplemented
180#17989134C2212yescomplemented
181#17989133C2214yescomplemented
182#17989124C2212yescomplemented
183#17989116C2212yescomplemented
184#17989114C2214yescomplemented
185#17989100C2214yescomplemented
186#17989100C2212yescomplemented
187#17989100C2212yescomplemented
188#17989100C2211yescharacteristic, complemented
189#17989100C2212yescomplemented
190#17989100C2212yescomplemented
191#17989100C2212yescomplemented
192#17989100C2212yescomplemented
193#17989100C2211yescharacteristic, complemented
194#17989100C2212yescomplemented
195#17989100C2212yescomplemented
196#17989100C2212yescomplemented
197#17989099C2211yescharacteristic, complemented
198#17989098C2211yescharacteristic, complemented
199#17989097C2211yescharacteristic, complemented
200#17989097C2211yescharacteristic, complemented
201#17989096C2214yescomplemented
202#17989096C2212yescomplemented
203#17989096C2212yescomplemented
204#17989096C2214yescomplemented
205#17989095C2212yescomplemented
206#17989094C2211yescharacteristic, complemented
207#17989094C2212yescomplemented
208#17989093C2212yescomplemented
209C2×#14556576C2212yescomplemented
210#123×D73C2212yescomplemented
211C2×#14556567C2211yescharacteristic, complemented
212C22⋊Q8×D73C2211yescharacteristic, complemented
213C22⋊Q8×D73C2211yescharacteristic, complemented
214C2×#14556566C2211yescharacteristic, complemented
215C2×#14556566C2211yescharacteristic, complemented
216C2×#14556566C2212yescomplemented
217C2×#14556565C2211yescharacteristic, complemented
218C2×#14556565C2211yescharacteristic, complemented
219C2×#14556564C2212yescomplemented
220C2×#14556563C2212yescomplemented
221C2×#14556562C2211yescharacteristic, complemented
222#121×D73C2212yescomplemented
223#121×D73C2212yescomplemented
224#121×D73C2212yescomplemented
225#121×D73C2212yescomplemented
226#121×D73C2212yescomplemented
227#121×D73C2212yescomplemented
228#121×D73C2212yescomplemented
229#121×D73C2212yescomplemented
230#121×D73C2211yescharacteristic, complemented
231#121×D73C2211yescharacteristic, complemented
232#121×D73C2212yescomplemented
233#121×D73C2214yescomplemented
234C2×#14556561C2214yescomplemented
235C2×#14556561C2212yescomplemented
236#120×D73C2214yescomplemented
237#120×D73C2212yescomplemented
238#17989069C2212yescomplemented
239#17989068C2212yescomplemented
240#17989060C2214yescomplemented
241#17989059C2214yescomplemented
242#17989059C2214yescomplemented
243#17989059C2212yescomplemented
244C2×#14556553C2212yescomplemented
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#562×C73C2214yescomplemented
253#554×C73C2212yescomplemented
254#548×C73C2212yescomplemented
255#547×C73C2212yescomplemented
256#546×C73C2214yescomplemented
257#546×C73C2212yescomplemented
258#543×C73C2212yescomplemented
259#542×C73C2212yescomplemented
260#539×C73C2212yescomplemented
261#538×C73C2212yescomplemented
262#537×C73C2212yescomplemented
263#537×C73C2212yescomplemented
264#525×C73C2211yescharacteristic, complemented
265C2×C22⋊Q8×C73C2211yescharacteristic, complemented
266C2×#121×C73C2211yescharacteristic, complemented
267C24×D73C2311yescharacteristic
268C24×D73C2312yes—
269#14556637—416no—
270#14556637—48no—
271C2×#11924029—44no—
272C2×#11924029C2312yes—
273C2×#11924029C2314yes—
274C2×#11924029C2311yescharacteristic
275C2×#11924029C2312yes—
276C2×#11924029C2314yescomplemented
277C2×#11924029C2312yescomplemented
278C2×#11924029C2312yescomplemented
279C2×#11924029C2312yescomplemented
280C2×#11924028C2312yes—
281C2×#11924028C2314yes—
282C2×#11924028C2314yescomplemented
283C2×#11924028C2314yescomplemented
284C2×#11924028C2311yescharacteristic, complemented
285C2×#11924028C2314yescomplemented
286C2×#11924027C2311yescharacteristic
287C2×#11924027C2312yescomplemented
288#41×D73—44no—
289C2×Q8×D73C2311yescharacteristic, complemented
290C22×D292C2312yes—
291C22×D292C2314yes—
292C22×D292C2314yes—
293C22×D292C2312yes—
294C22×D292C2311yescharacteristic
295C22×D292C2312yes—
296C22×D292C2314yescomplemented
297C22×D292C2312yescomplemented
298C22×D292C2311yescharacteristic, complemented
299C22×C22⋊D73C2314yes—
300C22×C22⋊D73C2312yes—
301C22×C22⋊D73C2312yes—
302C22×C22⋊D73C2312yes—
303C22×C22⋊D73C2312yes—
304C2×D4×D73—44no—
305C2×D4×D73—48no—
306C2×D4×D73C2312yes—
307C2×D4×D73C2314yes—
308C2×D4×D73C2312yes—
309C2×D4×D73C2312yes—
310C2×D4×D73C2314yes—
311C2×D4×D73C2314yes—
312C2×D4×D73C2314yes—
313C2×D4×D73C2314yes—
314C2×D4×D73C2312yes—
315C2×D4×D73C2314yes—
316C2×D4×D73C2314yes—
317C2×D4×D73C2312yes—
318C2×D4×D73C2312yes—
319C2×D4×D73C2312yes—
320C2×D4×D73C2314yescomplemented
321C2×D4×D73C2314yescomplemented
322C2×D4×D73C2314yescomplemented
323C2×D4×D73C2312yescomplemented
324C2×D4×D73C2314yescomplemented
325C2×D4×D73C2311yescharacteristic, complemented
326C23×Dic73C2311yescharacteristic
327C22×C4×D73—44no—
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×D73C2311yescharacteristic
340C22×C4×D73C2312yes—
341C22×C4×D73C2312yescomplemented
342C22×C4×D73C2312yescomplemented
343#14556590C2312yescomplemented
344#14556589C2314yescomplemented
345#14556588C2312yescomplemented
346#14556588C2314yescomplemented
347#14556587C2314yescomplemented
348#14556587C2312yescomplemented
349#14556587C2314yescomplemented
350#14556587C2314yescomplemented
351#14556587C2314yescomplemented
352#14556586C2314yescomplemented
353#14556586C2314yescomplemented
354#14556586C2314yescomplemented
355#14556586C2314yescomplemented
356#14556586C2314yescomplemented
357#14556586C2314yescomplemented
358#14556585C2314yescomplemented
359#14556584C2314yescomplemented
360#14556584C2314yescomplemented
361#14556584C2314yescomplemented
362#14556584C2314yescomplemented
363#14556583C2312yescomplemented
364#14556582C2312yescomplemented
365#14556581C2314yescomplemented
366#14556581C2314yescomplemented
367#14556581C2314yescomplemented
368#14556581C2314yescomplemented
369#14556580C2312yescomplemented
370#14556580C2314yescomplemented
371#14556580C2314yescomplemented
372#14556580C2314yescomplemented
373#14556580C2314yescomplemented
374#14556580C2314yescomplemented
375#14556578C2314yescomplemented
376#14556577C2314yescomplemented
377#14556577C2314yescomplemented
378#14556577C2314yescomplemented
379#14556577C2314yescomplemented
380#14556577C2314yescomplemented
381#14556576C2314yes—
382#14556576C2314yes—
383#14556576C2314yes—
384#14556576C2312yes—
385#14556576C2314yes—
386#14556576C2314yes—
387#14556576C2312yes—
388#14556576C2314yescomplemented
389#14556576C2314yescomplemented
390#14556576C2314yescomplemented
391#14556576C2314yescomplemented
392#14556576C2314yescomplemented
393#14556576C2314yescomplemented
394#14556576C2314yescomplemented
395#14556576C2314yescomplemented
396#14556576C2314yescomplemented
397#14556576C2314yescomplemented
398#14556576C2314yescomplemented
399#14556576C2314yescomplemented
400#14556575C2314yescomplemented
401#14556575C2314yescomplemented
402#14556575C2312yescomplemented
403#14556574C2314yescomplemented
404#14556574C2314yescomplemented
405#14556574C2314yescomplemented
406#14556574C2314yescomplemented
407#14556574C2312yescomplemented
408#14556573C2312yes—
409#14556573C2314yes—
410#14556573C2312yes—
411#14556573C2314yescomplemented
412#14556573C2314yescomplemented
413#14556573C2314yescomplemented
414#14556573C2314yescomplemented
415#14556573C2314yescomplemented
416#14556573C2314yescomplemented
417#14556573C2314yescomplemented
418#14556572C2312yescomplemented
419#14556572C2314yescomplemented
420#14556571C2311yescharacteristic
421#14556571C2314yescomplemented
422#14556571C2314yescomplemented
423#14556571C2311yescharacteristic, complemented
424#14556570C2311yescharacteristic
425#14556570C2311yescharacteristic, complemented
426#14556569C2314yes—
427#14556569C2312yes—
428#14556569C2312yescomplemented
429#14556569C2314yescomplemented
430#14556569C2314yescomplemented
431#14556569C2314yescomplemented
432#14556569C2314yescomplemented
433#14556568C2314yes—
434#14556568C2312yes—
435#14556568C2312yescomplemented
436#14556567C2314yes—
437#14556567C2312yes—
438#14556567C2311yescharacteristic
439#14556567C2312yes—
440#14556567C2312yescomplemented
441#14556567C2312yescomplemented
442#14556567C2314yescomplemented
443#14556567C2314yescomplemented
444#14556567C2312yescomplemented
445#14556567C2311yescharacteristic, complemented
446#14556566C2312yes—
447#14556566C2314yes—
448#14556566C2312yes—
449#14556566C2312yes—
450#14556566C2311yescharacteristic
451#14556566C2312yes—
452#14556566C2312yes—
453#14556566C2312yes—
454#14556566C2312yescomplemented
455#14556566C2314yescomplemented
456#14556566C2312yescomplemented
457#14556566C2314yescomplemented
458#14556566C2314yescomplemented
459#14556566C2314yescomplemented
460#14556566C2314yescomplemented
461#14556566C2314yescomplemented
462#14556566C2314yescomplemented
463#14556566C2312yescomplemented
464#14556566C2312yescomplemented
465#14556566C2314yescomplemented
466#14556566C2314yescomplemented
467#14556566C2314yescomplemented
468#14556566C2314yescomplemented
469#14556566C2311yescharacteristic, complemented
470#14556565C2312yes—
471#14556565C2312yes—
472#14556565C2311yescharacteristic
473#14556565C2314yes—
474#14556565C2312yes—
475#14556565C2312yes—
476#14556565C2312yes—
477#14556565C2312yes—
478#14556565C2311yescharacteristic, complemented
479#14556565C2314yescomplemented
480#14556565C2314yescomplemented
481#14556565C2314yescomplemented
482#14556565C2312yescomplemented
483#14556565C2312yescomplemented
484#14556565C2312yescomplemented
485#14556565C2314yescomplemented
486#14556565C2312yescomplemented
487#14556564C2314yes—
488#14556564C2314yes—
489#14556564C2314yes—
490#14556564C2312yes—
491#14556564C2314yes—
492#14556564C2314yes—
493#14556564C2314yescomplemented
494#14556564C2314yescomplemented
495#14556564C2314yescomplemented
496#14556564C2314yescomplemented
497#14556564C2314yescomplemented
498#14556564C2314yescomplemented
499#14556564C2312yescomplemented
500#14556564C2314yescomplemented
501#14556564C2314yescomplemented
502#14556564C2314yescomplemented
503#14556564C2314yescomplemented
504#14556564C2314yescomplemented
505#14556564C2314yescomplemented
506#14556564C2314yescomplemented
507#14556564C2314yescomplemented
508#14556563C2314yes—
509#14556563C2314yes—
510#14556563C2314yes—
511#14556563C2312yes—
512#14556563C2314yes—
513#14556563C2314yes—
514#14556563C2312yescomplemented
515#14556563C2314yescomplemented
516#14556563C2314yescomplemented
517#14556563C2314yescomplemented
518#14556563C2314yescomplemented
519#14556563C2314yescomplemented
520#14556563C2314yescomplemented
521#14556563C2314yescomplemented
522#14556562C2312yes—
523#14556562C2312yes—
524#14556562C2312yes—
525#14556562C2311yescharacteristic
526#14556562C2312yes—
527#14556562C2312yescomplemented
528#14556562C2314yescomplemented
529#14556562C2314yescomplemented
530#14556562C2311yescharacteristic, complemented
531#14556561C2314yes—
532#14556561C2314yes—
533#14556561C2314yes—
534#14556561C2312yes—
535#14556561C2314yes—
536#14556561C2314yes—
537#14556561C2314yes—
538#14556561C2314yes—
539#14556561C2314yes—
540#14556561C2314yes—
541#14556561C2314yes—
542#14556561C2314yes—
543#14556561C2312yes—
544#14556561C2314yes—
545#14556561C2312yes—
546#14556561C2314yescomplemented
547#14556561C2314yescomplemented
548#14556561C2314yescomplemented
549#14556561C2314yescomplemented
550#14556561C2314yescomplemented
551#14556561C2314yescomplemented
552#14556561C2314yescomplemented
553#14556561C2314yescomplemented
554#14556561C2314yescomplemented
555#14556560C2314yes—
556#14556560C2312yes—
557#14556559C2312yes—
558#14556559C2314yes—
559#14556559C2314yes—
560#14556559C2312yes—
561#14556559C2312yes—
562#14556559C2314yescomplemented
563#14556559C2314yescomplemented
564#14556559C2314yescomplemented
565#14556559C2314yescomplemented
566#14556559C2314yescomplemented
567#14556559C2314yescomplemented
568#14556559C2314yescomplemented
569Q8×Dic73C2312yescomplemented
570#14556556C2314yescomplemented
571C4×D292C2314yes—
572C4×D292C2312yes—
573C4×D292C2314yescomplemented
574C4×D292C2312yescomplemented
575C4×D292C2312yescomplemented
576C4×D292C2314yescomplemented
577C4×D292C2312yescomplemented
578D4×Dic73C2312yes—
579D4×Dic73C2314yescomplemented
580D4×Dic73C2312yescomplemented
581D4×Dic73C2312yescomplemented
582#14556553C2314yes—
583#14556553C2314yes—
584#14556553C2314yes—
585#14556553C2312yes—
586#14556553C2314yes—
587#14556553C2312yescomplemented
588#14556553C2314yescomplemented
589#14556553C2312yescomplemented
590#14556553C2312yescomplemented
591#14556553C2314yescomplemented
592#14556553C2314yescomplemented
593#14556553C2314yescomplemented
594C4×C22⋊D73C2314yes—
595C4×C22⋊D73C2314yes—
596C4×C22⋊D73C2312yes—
597C4×C22⋊D73C2312yes—
598C4×C22⋊D73C2314yescomplemented
599C4×C22⋊D73C2314yescomplemented
600C4×C22⋊D73C2314yescomplemented
601C4×C22⋊D73C2314yescomplemented
602C4×C22⋊D73C2314yescomplemented
603C4×C22⋊D73C2314yescomplemented
604C4×C22⋊D73C2314yescomplemented
605C4×C22⋊D73C2314yescomplemented
606C4×C22⋊D73C2314yescomplemented
607C4×C22⋊D73C2312yescomplemented
608C4×C22⋊D73C2312yescomplemented
609#14556551C2314yes—
610#14556551C2312yes—
611#14556551C2314yes—
612#14556551C2314yes—
613#14556551C2314yes—
614#14556551C2312yes—
615#14556551C2314yescomplemented
616#14556551C2314yescomplemented
617#14556551C2312yescomplemented
618#14556551C2314yescomplemented
619#14556551C2314yescomplemented
620#14556551C2314yescomplemented
621#14556551C2314yescomplemented
622#14556551C2312yescomplemented
623#14556550C2312yescomplemented
624#14556550C2311yescharacteristic, complemented
625#14556549C2312yes—
626#14556549C2314yes—
627#14556549C2311yescharacteristic
628#14556549C2311yescharacteristic
629#14556549C2312yes—
630#14556549C2312yescomplemented
631#14556549C2312yescomplemented
632#14556549C2314yescomplemented
633#14556549C2312yescomplemented
634#14556548C2312yes—
635#14556548C2314yes—
636#14556548C2314yescomplemented
637#14556548C2314yescomplemented
638#14556547C2314yescomplemented
639#14556547C2314yescomplemented
640#14556547C2312yescomplemented
641C2×C4⋊Dic73C2311yescharacteristic
642C2×C4⋊Dic73C2311yescharacteristic, complemented
643C2×#11924007C2312yes—
644C2×#11924007C2312yescomplemented
645C4⋊C4×D73C2312yes—
646C4⋊C4×D73C2312yes—
647C4⋊C4×D73C2312yes—
648C4⋊C4×D73C2312yes—
649C4⋊C4×D73C2312yescomplemented
650C4⋊C4×D73C2312yescomplemented
651C4⋊C4×D73C2314yescomplemented
652C4⋊C4×D73C2311yescharacteristic, complemented
653C4⋊C4×D73C2312yescomplemented
654C4⋊C4×D73C2311yescharacteristic, complemented
655C2×C22⋊Dic73C2312yes—
656C2×#11924005C2312yes—
657C2×#11924005C2312yes—
658C2×#11924005C2314yes—
659C2×#11924005C2314yes—
660C2×#11924005C2312yes—
661C2×#11924005C2312yes—
662C2×#11924005C2312yescomplemented
663C2×#11924005C2314yescomplemented
664C2×#11924005C2312yescomplemented
665C22⋊C4×D73C2312yes—
666C22⋊C4×D73C2314yes—
667C22⋊C4×D73C2314yes—
668C22⋊C4×D73C2314yes—
669C22⋊C4×D73C2314yes—
670C22⋊C4×D73C2312yes—
671C22⋊C4×D73C2314yes—
672C22⋊C4×D73C2314yes—
673C22⋊C4×D73C2314yes—
674C22⋊C4×D73C2312yes—
675C22⋊C4×D73C2312yescomplemented
676C22⋊C4×D73C2314yescomplemented
677C22⋊C4×D73C2314yescomplemented
678C22⋊C4×D73C2314yescomplemented
679C22⋊C4×D73C2312yescomplemented
680C2×C4×Dic73C2312yescomplemented
681C42×D73C2312yescomplemented
682C2×#41×C73C2314yescomplemented
683C2×#41×C73C2311yescharacteristic, complemented
684C2×#41×C73C2312yescomplemented
685C22×Q8×C73C2311yescharacteristic, complemented
686C22×D4×C73C2311yescharacteristic
687C22×D4×C73C2312yes—
688C23×C4×C73C2311yescharacteristic
689C4⋊Q8×C73C2312yescomplemented
690#126×C73C2314yescomplemented
691#125×C73C2314yescomplemented
692#124×C73C2314yescomplemented
693#124×C73C2314yescomplemented
694#124×C73C2312yescomplemented
695#123×C73C2314yescomplemented
696#123×C73C2314yescomplemented
697#123×C73C2314yescomplemented
698#123×C73C2314yescomplemented
699#123×C73C2312yescomplemented
700C22⋊Q8×C73C2311yescharacteristic
701C22⋊Q8×C73C2312yes—
702C22⋊Q8×C73C2314yes—
703C22⋊Q8×C73C2312yes—
704C22⋊Q8×C73C2314yescomplemented
705C22⋊Q8×C73C2314yescomplemented
706C22⋊Q8×C73C2312yescomplemented
707C22⋊Q8×C73C2312yescomplemented
708C22⋊Q8×C73C2311yescharacteristic, complemented
709C22⋊Q8×C73C2314yescomplemented
710C22⋊Q8×C73C2314yescomplemented
711C22⋊Q8×C73C2314yescomplemented
712C22⋊Q8×C73C2312yescomplemented
713#121×C73C2311yescharacteristic
714#121×C73C2312yes—
715#121×C73C2312yes—
716#121×C73C2312yes—
717#121×C73C2312yes—
718#121×C73C2311yescharacteristic, complemented
719#121×C73C2314yescomplemented
720#121×C73C2314yescomplemented
721#121×C73C2314yescomplemented
722#121×C73C2314yescomplemented
723#121×C73C2312yescomplemented
724#121×C73C2314yescomplemented
725#120×C73C2314yes—
726#120×C73C2312yes—
727C4×Q8×C73C2312yescomplemented
728C4×D4×C73C2312yes—
729C4×D4×C73C2314yes—
730C4×D4×C73C2312yescomplemented
731C4×D4×C73C2312yescomplemented
732C4×D4×C73C2314yescomplemented
733#117×C73C2311yescharacteristic, complemented
734C2×C4⋊C4×C73C2311yescharacteristic
735C2×C4⋊C4×C73C2312yescomplemented
736C2×C4⋊C4×C73C2311yescharacteristic, complemented
737C2×C4⋊C4×C73C2312yescomplemented
738C2×C22⋊C4×C73C2312yes—
739C2×C22⋊C4×C73C2312yes—
740C2×C22⋊C4×C73C2314yes—
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×D73C2412yes—
756C23×D73C2411yescharacteristic
757C23×D73C2414yes—
758C23×D73C2414yes—
759C23×D73C2411yescharacteristic
760#11924029—28no—
761#11924029—44no—
762#11924029—42no—
763#11924029—44no—
764#11924029—48no—
765#11924029—48no—
766#11924029—44no—
767#11924029—44no—
768#11924028—28no—
769#11924028—48no—
770#11924028—42no—
771#11924028—48no—
772#11924028—48no—
773#11924028—48no—
774#11924027—44no—
775#11924027—42no—
776C2×Dic146C2412yes—
777C2×Dic146C2414yes—
778C2×Dic146C2411yescharacteristic
779Q8×D73—42no—
780C2×D292—28no—
781C2×D292—42no—
782C2×D292—42no—
783C2×D292—44no—
784C2×D292—44no—
785C2×D292—44no—
786C2×D292—48no—
787C2×D292—48no—
788C2×D292—48no—
789C2×D292C2414yes—
790C2×D292C2412yes—
791C2×D292C2412yes—
792C2×D292C2414yes—
793C2×D292C2414yes—
794C2×D292C2414yes—
795C2×D292C2412yes—
796C2×D292C2412yes—
797C2×D292C2414yes—
798C2×D292C2412yes—
799C2×D292C2414yes—
800C2×D292C2414yes—
801C2×D292C2414yes—
802C2×D292C2414yes—
803C2×D292C2414yes—
804C2×D292C2412yes—
805C2×D292C2411yescharacteristic
806C2×D292C2414yes—
807C2×D292C2412yes—
808C2×D292C2414yes—
809C2×C22⋊D73—44no—
810C2×C22⋊D73—44no—
811C2×C22⋊D73—44no—
812C2×C22⋊D73—44no—
813C2×C22⋊D73—48no—
814C2×C22⋊D73C2414yes—
815C2×C22⋊D73C2412yes—
816C2×C22⋊D73C2412yes—
817C2×C22⋊D73C2414yes—
818C2×C22⋊D73C2412yes—
819C2×C22⋊D73C2414yes—
820C2×C22⋊D73C2414yes—
821C2×C22⋊D73C2412yes—
822C2×C22⋊D73C2412yes—
823C2×C22⋊D73C2414yes—
824C2×C22⋊D73C2414yes—
825C2×C22⋊D73C2412yes—
826C2×C22⋊D73C2414yes—
827C2×C22⋊D73C2414yes—
828C2×C22⋊D73C2412yes—
829C2×C22⋊D73C2414yes—
830C2×C22⋊D73C2414yes—
831C2×C22⋊D73C2414yes—
832C2×C22⋊D73C2414yes—
833C2×C22⋊D73C2414yes—
834C2×C22⋊D73C2414yes—
835D4×D73—216no—
836D4×D73—28no—
837D4×D73—28no—
838D4×D73—44no—
839D4×D73—44no—
840D4×D73—44no—
841D4×D73—42no—
842D4×D73—48no—
843D4×D73—44no—
844D4×D73—48no—
845D4×D73—48no—
846D4×D73—44no—
847D4×D73—48no—
848D4×D73—48no—
849D4×D73—48no—
850D4×D73—48no—
851D4×D73—44no—
852D4×D73—48no—
853D4×D73—48no—
854D4×D73—48no—
855C22×Dic73—42no—
856C22×Dic73C2411yescharacteristic
857C22×Dic73C2411yescharacteristic
858C22×Dic73C2411yescharacteristic
859C22×Dic73C2412yes—
860C22×Dic73C2411yescharacteristic
861C22×Dic73C2414yes—
862C22×Dic73C2412yes—
863C22×Dic73C2411yescharacteristic
864C22×Dic73C2412yes—
865C22×Dic73C2411yescharacteristic
866C2×C4×D73—24no—
867C2×C4×D73—24no—
868C2×C4×D73—24no—
869C2×C4×D73—42no—
870C2×C4×D73—42no—
871C2×C4×D73—42no—
872C2×C4×D73—44no—
873C2×C4×D73—42no—
874C2×C4×D73—42no—
875C2×C4×D73—42no—
876C2×C4×D73—44no—
877C2×C4×D73—42no—
878C2×C4×D73—42no—
879C2×C4×D73—42no—
880C2×C4×D73—44no—
881C2×C4×D73C2411yescharacteristic
882C2×C4×D73C2412yes—
883C2×C4×D73C2411yescharacteristic
884C2×C4×D73C2411yescharacteristic
885C2×C4×D73C2414yes—
886C2×C4×D73C2411yescharacteristic
887C2×C4×D73C2411yescharacteristic
888C2×C4×D73C2411yescharacteristic
889C2×C4×D73C2411yescharacteristic
890C2×C4×D73C2414yes—
891C2×C4×D73C2412yes—
892C2×C4×D73C2411yescharacteristic
893C2×C4×D73C2411yescharacteristic
894C2×C4×D73C2412yes—
895C2×C4×D73C2411yescharacteristic
896C2×C4×D73C2411yescharacteristic
897C2×C4×D73C2414yes—
898C2×C4×D73C2412yes—
899C2×C4×D73C2414yes—
900C2×C4×D73C2414yes—
901C2×C4×D73C2414yes—
902C2×C4×D73C2411yescharacteristic
903C2×C4×D73C2411yescharacteristic
904C2×C4×D73C2412yes—
905C2×C4×D73C2414yes—
906C2×C4×D73C2414yes—
907C2×C4×D73C2414yes—
908C2×C4×D73C2414yes—
909C2×C4×D73C2411yescharacteristic
910C2×C4×D73C2411yescharacteristic
911C2×C4×D73C2411yescharacteristic
912C4⋊Dic73C2412yes—
913C4⋊Dic73C2412yes—
914C4⋊Dic73C2411yescharacteristic
915C4⋊Dic73C2411yescharacteristic
916C4⋊Dic73C2412yes—
917C4⋊Dic73C2412yes—
918C4⋊Dic73C2414yes—
919C4⋊Dic73C2412yes—
920C4⋊Dic73C2412yes—
921C4⋊Dic73C2414yes—
922#11924007C2414yes—
923#11924007C2414yes—
924#11924007C2412yes—
925#11924007C2412yes—
926#11924007C2412yes—
927#11924007C2412yes—
928#11924007C2412yes—
929#11924007C2412yes—
930#11924007C2414yes—
931#11924007C2414yes—
932#11924007C2414yes—
933#11924007C2414yes—
934#11924007C2414yes—
935#11924007C2414yes—
936#11924007C2414yes—
937#11924007C2414yes—
938C22⋊Dic73C2412yes—
939C22⋊Dic73C2414yes—
940C22⋊Dic73C2414yes—
941C22⋊Dic73C2412yes—
942C22⋊Dic73C2412yes—
943C22⋊Dic73C2414yes—
944C22⋊Dic73C2414yes—
945C22⋊Dic73C2412yes—
946C22⋊Dic73C2412yes—
947C22⋊Dic73C2414yes—
948#11924005C2412yes—
949#11924005C2412yes—
950#11924005C2414yes—
951#11924005C2414yes—
952#11924005C2414yes—
953#11924005C2414yes—
954#11924005C2414yes—
955#11924005C2414yes—
956#11924005C2412yes—
957#11924005C2412yes—
958#11924005C2414yes—
959#11924005C2414yes—
960#11924005C2412yes—
961#11924005C2412yes—
962#11924005C2412yes—
963#11924005C2414yes—
964#11924005C2414yes—
965#11924005C2414yes—
966#11924005C2412yes—
967#11924005C2412yes—
968#11924005C2412yes—
969#11924005C2414yes—
970#11924005C2414yes—
971#11924005C2414yes—
972#11924005C2414yes—
973#11924005C2414yes—
974#11924005C2414yes—
975#11924005C2414yes—
976#11924005C2414yes—
977#11924005C2414yes—
978#11924005C2414yes—
979#11924005C2414yes—
980#11924005C2414yes—
981#11924005C2414yes—
982C4×Dic73C2412yes—
983C4×Dic73C2412yes—
984C4×Dic73C2412yes—
985C4×Dic73C2414yes—
986C4×Dic73C2414yes—
987C4×Dic73C2414yes—
988C4×Dic73C2414yes—
989C4×Dic73C2414yes—
990C24×C73C2411yescharacteristic
991C24×C73C2412yes—
992#41×C73—42no—
993#41×C73—48no—
994#41×C73—44no—
995C2×Q8×C73—42no—
996C2×Q8×C73C2412yes—
997C2×Q8×C73C2411yescharacteristic
998C2×Q8×C73C2412yes—
999C2×Q8×C73C2414yes—
1000C2×D4×C73—42no—
1001C2×D4×C73—44no—
1002C2×D4×C73C2412yes—
1003C2×D4×C73C2412yes—
1004C2×D4×C73C2414yes—
1005C2×D4×C73C2412yes—
1006C2×D4×C73C2412yes—
1007C2×D4×C73C2414yes—
1008C2×D4×C73C2414yes—
1009C2×D4×C73C2412yes—
1010C2×D4×C73C2414yes—
1011C2×D4×C73C2411yescharacteristic
1012C22×C4×C73—42no—
1013C22×C4×C73C2412yes—
1014C22×C4×C73C2411yescharacteristic
1015C22×C4×C73C2412yes—
1016C22×C4×C73C2411yescharacteristic
1017C22×C4×C73C2411yescharacteristic
1018C22×C4×C73C2411yescharacteristic
1019C22×C4×C73C2412yes—
1020C22×C4×C73C2412yes—
1021C22×C4×C73C2414yes—
1022C22×C4×C73C2414yes—
1023C22×C4×C73C2411yescharacteristic
1024C22×C4×C73C2414yes—
1025C22×C4×C73C2411yescharacteristic
1026C4⋊C4×C73C2412yes—
1027C4⋊C4×C73C2412yes—
1028C4⋊C4×C73C2412yes—
1029C4⋊C4×C73C2414yes—
1030C4⋊C4×C73C2414yes—
1031C4⋊C4×C73C2414yes—
1032C4⋊C4×C73C2412yes—
1033C4⋊C4×C73C2411yescharacteristic
1034C4⋊C4×C73C2411yescharacteristic
1035C4⋊C4×C73C2412yes—
1036C4⋊C4×C73C2414yes—
1037C4⋊C4×C73C2414yes—
1038C4⋊C4×C73C2412yes—
1039C4⋊C4×C73C2414yes—
1040C22⋊C4×C73C2414yes—
1041C22⋊C4×C73C2412yes—
1042C22⋊C4×C73C2414yes—
1043C22⋊C4×C73C2414yes—
1044C22⋊C4×C73C2414yes—
1045C22⋊C4×C73C2414yes—
1046C22⋊C4×C73C2414yes—
1047C22⋊C4×C73C2412yes—
1048C22⋊C4×C73C2412yes—
1049C22⋊C4×C73C2414yes—
1050C22⋊C4×C73C2412yes—
1051C22⋊C4×C73C2414yes—
1052C22⋊C4×C73C2414yes—
1053C22⋊C4×C73C2412yes—
1054C42×C73C2412yes—
1055C42×C73C2414yes—
1056C23×C73—22no—
1057C23×C73—22no—
1058C23×C73—24no—
1059C23×C73—41no—
1060C23×C73—42no—
1061C23×C73—42no—
1062C23×C73C2514yes—
1063C23×C73C2511yescharacteristic
1064C23×C73C2512yes—
1065C23×C73C2511yescharacteristic
1066C23×C73C2511yescharacteristic
1067C22×D73—22no—
1068C22×D73—22no—
1069C22×D73—22no—
1070C22×D73—22no—
1071C22×D73—22no—
1072C22×D73—24no—
1073C22×D73—24no—
1074C22×D73—22no—
1075C22×D73—22no—
1076C22×D73—22no—
1077C22×D73—22no—
1078C22×D73—22no—
1079C22×D73—24no—
1080C22×D73—28no—
1081C22×D73—28no—
1082C22×D73—41no—
1083C22×D73—41no—
1084C22×D73—41no—
1085C22×D73—41no—
1086C22×D73—41no—
1087C22×D73—41no—
1088C22×D73—41no—
1089C22×D73—42no—
1090C22×D73—42no—
1091C22×D73—44no—
1092C22×D73—44no—
1093C22×D73—42no—
1094C22×D73—42no—
1095C22×D73—42no—
1096C22×D73—42no—
1097C22×D73—44no—
1098C22×D73—44no—
1099C22×D73—44no—
1100C22×D73—44no—
1101C22×D73—44no—
1102C22×D73—44no—
1103C22×D73—44no—
1104C22×D73—44no—
1105C22×D73—416no—
1106C22×D73—816no—
1107C22×D73H(5,𝔽2)14yescomplemented
1108C22×D73C2514yes—
1109C22×D73C2511yescharacteristic
1110C22×D73C2514yes—
1111C22×D73C2512yes—
1112C22×D73C2511yescharacteristic
1113C22×D73C2511yescharacteristic
1114C22×D73C2511yescharacteristic
1115Q8×C73—24no—
1116Q8×C73—42no—
1117Q8×C73—41no—
1118Q8×C73—44no—
1119D4×C73—28no—
1120D4×C73—24no—
1121D4×C73—24no—
1122D4×C73—24no—
1123D4×C73—42no—
1124D4×C73—44no—
1125D4×C73—44no—
1126D4×C73—44no—
1127D4×C73—42no—
1128D4×C73—41no—
1129C2×C4×C73—24no—
1130C2×C4×C73—22no—
1131C2×C4×C73—22no—
1132C2×C4×C73—22no—
1133C2×C4×C73—24no—
1134C2×C4×C73—41no—
1135C2×C4×C73—41no—
1136C2×C4×C73—41no—
1137C2×C4×C73—42no—
1138C2×C4×C73—42no—
1139C2×C4×C73—44no—
1140C2×C4×C73—44no—
1141C2×C4×C73—44no—
1142C2×C4×C73C2512yes—
1143C2×C4×C73C2512yes—
1144C2×C4×C73C2514yes—
1145C2×C4×C73C2514yes—
1146C2×C4×C73C2511yescharacteristic
1147C2×C4×C73C2512yes—
1148C2×C4×C73C2514yes—
1149C2×C4×C73C2511yescharacteristic
1150C2×C4×C73C2511yescharacteristic
1151C2×C4×C73C2511yescharacteristic
1152C22⋊D73—28no—
1153C22⋊D73—24no—
1154C22⋊D73—24no—
1155C22⋊D73—28no—
1156C22⋊D73—28no—
1157C22⋊D73—24no—
1158C22⋊D73—24no—
1159C22⋊D73—28no—
1160C22⋊D73—24no—
1161C22⋊D73—44no—
1162C22⋊D73—44no—
1163C22⋊D73—44no—
1164C22⋊D73—44no—
1165C22⋊D73—44no—
1166C22⋊D73—44no—
1167C22⋊D73—44no—
1168C22⋊D73—42no—
1169C22⋊D73—42no—
1170C22⋊D73—44no—
1171C22⋊D73—44no—
1172C22⋊D73—44no—
1173C2×Dic73—22no—
1174C2×Dic73—22no—
1175C2×Dic73—22no—
1176C2×Dic73—41no—
1177C2×Dic73—41no—
1178C2×Dic73—41no—
1179C2×Dic73—42no—
1180C2×Dic73—42no—
1181C2×Dic73—42no—
1182C2×Dic73—44no—
1183C2×Dic73C2512yes—
1184C2×Dic73C2514yes—
1185C2×Dic73C2511yescharacteristic
1186C2×Dic73C2511yescharacteristic
1187C2×Dic73C2512yes—
1188C2×Dic73C2512yes—
1189C2×Dic73C2514yes—
1190C2×Dic73C2511yescharacteristic
1191C2×Dic73C2511yescharacteristic
1192D292—28no—
1193D292—24no—
1194D292—28no—
1195D292—28no—
1196D292—24no—
1197D292—28no—
1198D292—24no—
1199D292—24no—
1200D292—42no—
1201D292—44no—
1202D292—44no—
1203D292—44no—
1204D292—44no—
1205D292—44no—
1206D292—42no—
1207D292—41no—
1208D292—44no—
1209D292—44no—
1210D292—42no—
1211D292—44no—
1212C4×D73—22no—
1213C4×D73—22no—
1214C4×D73—22no—
1215C4×D73—28no—
1216C4×D73—24no—
1217C4×D73—22no—
1218C4×D73—22no—
1219C4×D73—22no—
1220C4×D73—24no—
1221C4×D73—22no—
1222C4×D73—22no—
1223C4×D73—22no—
1224C4×D73—28no—
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—44no—
1235C4×D73—42no—
1236C4×D73—44no—
1237C4×D73—44no—
1238C4×D73—44no—
1239C4×D73—44no—
1240C4×D73—44no—
1241C4×D73—44no—
1242C4×D73H(5,𝔽2)14yescomplemented
1243Dic146—24no—
1244Dic146—41no—
1245Dic146—44no—
1246C22×C73—21no—
1247C22×C73—21no—
1248C22×C73—21no—
1249C22×C73—21no—
1250C22×C73—21no—
1251C22×C73—22no—
1252C22×C73—22no—
1253C22×C73—24no—
1254C22×C73—24no—
1255C22×C73—21no—
1256C22×C73—24no—
1257C22×C73—21no—
1258C22×C73—22no—
1259C22×C73—44no—
1260C22×C73—84no—
1261C22×C73C2×H(5,𝔽2)12yes—
1262C22×C73#58512yes—
1263C22×C73C2611yescharacteristic
1264C2×D73—28no—
1265C2×D73—21no—
1266C2×D73—21no—
1267C2×D73—21no—
1268C2×D73—21no—
1269C2×D73—21no—
1270C2×D73—21no—
1271C2×D73—21no—
1272C2×D73—24no—
1273C2×D73—22no—
1274C2×D73—24no—
1275C2×D73—22no—
1276C2×D73—24no—
1277C2×D73—24no—
1278C2×D73—21no—
1279C2×D73—24no—
1280C2×D73—21no—
1281C2×D73—22no—
1282C2×D73—24no—
1283C2×D73—44no—
1284C2×D73—44no—
1285C2×D73—44no—
1286C2×D73—44no—
1287C2×D73—44no—
1288C2×D73—84no—
1289C2×D73—88no—
1290C2×D73—88no—
1291C2×D73—84no—
1292C2×D73—84no—
1293C2×D73—164no—
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—24no—
1301C4×C73—21no—
1302C4×C73—21no—
1303C4×C73—24no—
1304C4×C73—22no—
1305C4×C73—24no—
1306C4×C73—22no—
1307C4×C73C2×H(5,𝔽2)12yes—
1308Dic73—22no—
1309Dic73—22no—
1310Dic73—24no—
1311Dic73—21no—
1312Dic73—21no—
1313Dic73—21no—
1314Dic73—22no—
1315Dic73—24no—
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×C73C22×H(5,𝔽2)11yescharacteristic
1324C2×C73C22×H(5,𝔽2)11yescharacteristic
1325C2×C73C2×#58511yescharacteristic
1326D73—22no—
1327D73—22no—
1328D73—22no—
1329D73—41no—
1330D73—44no—
1331D73—44no—
1332D73—42no—
1333#3542—734no—
1334#3542—732no—
1335#3542—732no—
1336#3537—732no—
1337#3537—731no—
1338#3537—731no—
1339#3536—732no—
1340#3536—731no—
1341#3536D7311yescharacteristic, complemented
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#562C2×D7314yescomplemented
1376#560—734no—
1377#560—734no—
1378#560—734no—
1379#560—734no—
1380#555—732no—
1381#555—734no—
1382#555—732no—
1383#554—734no—
1384#554—732no—
1385#554C2×D7312yescomplemented
1386#553—734no—
1387#553—734no—
1388#553—734no—
1389#553—734no—
1390#553—732no—
1391#553—734no—
1392#553—732no—
1393#553—734no—
1394#553—732no—
1395#553—732no—
1396#553—734no—
1397#553—732no—
1398#553—732no—
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—732no—
1411#550—734no—
1412#550—732no—
1413#548—732no—
1414#548—734no—
1415#548C2×D7312yescomplemented
1416#547—732no—
1417#547—734no—
1418#547—734no—
1419#547—732no—
1420#547—732no—
1421#547C2×D7312yescomplemented
1422#546—734no—
1423#546—732no—
1424#546—734no—
1425#546—734no—
1426#546—732no—
1427#546—734no—
1428#546—732no—
1429#546—734no—
1430#546—734no—
1431#546—734no—
1432#546—734no—
1433#546—734no—
1434#546—734no—
1435#546—732no—
1436#546—734no—
1437#546—734no—
1438#546—732no—
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—734no—
1448#546—734no—
1449#546C2×D7314yescomplemented
1450#546C2×D7312yescomplemented
1451D42—734no—
1452D42—732no—
1453D42—732no—
1454D42—734no—
1455D42—734no—
1456D42—734no—
1457D42—732no—
1458D42—734no—
1459D42—734no—
1460D42—734no—
1461D42—734no—
1462D42—734no—
1463D42—734no—
1464D42—732no—
1465D42—734no—
1466D42—732no—
1467D42—732no—
1468#544—732no—
1469#543—732no—
1470#543C2×D7312yescomplemented
1471#542—734no—
1472#542—732no—
1473#542C2×D7312yescomplemented
1474#540—734no—
1475#540—734no—
1476#540—734no—
1477#540—732no—
1478#540—734no—
1479#540—734no—
1480#540—732no—
1481#539—734no—
1482#539—734no—
1483#539—734no—
1484#539—732no—
1485#539C2×D7312yescomplemented
1486#538—734no—
1487#538—734no—
1488#538—734no—
1489#538—734no—
1490#538—732no—
1491#538—732no—
1492#538—732no—
1493#538—734no—
1494#538—732no—
1495#538—734no—
1496#538—734no—
1497#538—732no—
1498#538C2×D7312yescomplemented
1499#537—732no—
1500#537—732no—
1501#537—734no—
1502#537—734no—
1503#537—732no—
1504#537C2×D7312yescomplemented
1505#537C2×D7312yescomplemented
1506#535—732no—
1507#535—732no—
1508#535—734no—
1509#535—734no—
1510#535—732no—
1511#535—732no—
1512#535—734no—
1513#534—734no—
1514#534—734no—
1515#534—734no—
1516#534—734no—
1517#534—732no—
1518#534—732no—
1519#534—734no—
1520#534—734no—
1521#534—734no—
1522#534—732no—
1523#534—732no—
1524#532—734no—
1525#532—732no—
1526#532—732no—
1527#529—732no—
1528#529—734no—
1529#529—732no—
1530#525—731no—
1531#525—732no—
1532#525—731no—
1533#525—732no—
1534#525—732no—
1535#525—731no—
1536#525—732no—
1537#525—732no—
1538#525—732no—
1539#525—734no—
1540#525—732no—
1541#525—731no—
1542#525—732no—
1543#525—732no—
1544#525—732no—
1545#525—732no—
1546#525—731no—
1547#525—731no—
1548#525—732no—
1549#525—732no—
1550#525—734no—
1551#525—732no—
1552#525—734no—
1553#525—731no—
1554#525C2×D7311yescharacteristic, complemented
1555C2×#123—732no—
1556C2×#123—732no—
1557C2×C22⋊Q8—731no—
1558C2×C22⋊Q8—731no—
1559C2×C22⋊Q8—731no—
1560C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1561C2×#121—731no—
1562C2×#121—732no—
1563C2×#121—731no—
1564C2×#121—731no—
1565C2×#121—732no—
1566C2×#121—732no—
1567C2×#121—732no—
1568C2×#121—732no—
1569C2×#121—732no—
1570C2×#121—732no—
1571C2×#121—732no—
1572C2×#121—732no—
1573C2×#121—731no—
1574C2×#121—731no—
1575C2×#121—732no—
1576C2×#121—734no—
1577C2×#121—731no—
1578C2×#121—731no—
1579C2×#121—732no—
1580C2×#121—732no—
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—732no—
1590#518—734no—
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—732no—
1607C2×#41—732no—
1608C2×#41—731no—
1609C2×#41—732no—
1610C2×#41—734no—
1611C2×#41—732no—
1612C2×#41—734no—
1613C2×#41—732no—
1614C2×#41—731no—
1615C2×#41—732no—
1616C2×#41—731no—
1617C2×#41—734no—
1618C2×#41—734no—
1619C2×#41—734no—
1620C2×#41—734no—
1621C2×#41—732no—
1622C2×#41C22×D7311yescharacteristic, complemented
1623C2×#41C22×D7312yescomplemented
1624C2×#41C22×D7314yescomplemented
1625C22×Q8—731no—
1626C22×Q8C22×D7311yescharacteristic, complemented
1627C22×D4—2928no—
1628C22×D4—2924no—
1629C22×D4—732no—
1630C22×D4—734no—
1631C22×D4—732no—
1632C22×D4—732no—
1633C22×D4—732no—
1634C22×D4—732no—
1635C22×D4—734no—
1636C22×D4—732no—
1637C22×D4—734no—
1638C22×D4—734no—
1639C22×D4—732no—
1640C22×D4—734no—
1641C22×D4—731no—
1642C22×D4—734no—
1643C22×D4—734no—
1644C22×D4—732no—
1645C22×D4—732no—
1646C22×D4—734no—
1647C22×D4—734no—
1648C22×D4—734no—
1649C22×D4—732no—
1650C22×D4—734no—
1651C22×D4—732no—
1652C22×D4—734no—
1653C22×D4—732no—
1654C22×D4—732no—
1655C22×D4—734no—
1656C22×D4—734no—
1657C22×D4—731no—
1658C22×D4—731no—
1659C22×D4—732no—
1660C22×D4—734no—
1661C22×D4—732no—
1662C22×D4—732no—
1663C22×D4C22×D7311yescharacteristic
1664C22×D4C22×D7312yes—
1665C23×C4—2924no—
1666C23×C4—731no—
1667C23×C4—731no—
1668C23×C4—732no—
1669C23×C4—731no—
1670C23×C4—731no—
1671C23×C4—731no—
1672C23×C4—732no—
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⋊Q8C22×D7312yescomplemented
1686#127—732no—
1687#127—734no—
1688#127—734no—
1689#127—734no—
1690#127—734no—
1691#127—732no—
1692#127—734no—
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#126—734no—
1704#126C22×D7314yescomplemented
1705#125—734no—
1706#125—732no—
1707#125—734no—
1708#125—734no—
1709#125—734no—
1710#125—732no—
1711#125C22×D7314yescomplemented
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#124C22×D7312yescomplemented
1725#124C22×D7314yescomplemented
1726#124C22×D7314yescomplemented
1727#123—732no—
1728#123—734no—
1729#123—732no—
1730#123—734no—
1731#123—734no—
1732#123—734no—
1733#123—734no—
1734#123—732no—
1735#123—734no—
1736#123—734no—
1737#123—732no—
1738#123—734no—
1739#123—734no—
1740#123—734no—
1741#123—734no—
1742#123—734no—
1743#123—734no—
1744#123—734no—
1745#123—734no—
1746#123—734no—
1747#123—734no—
1748#123—734no—
1749#123—734no—
1750#123—734no—
1751#123—734no—
1752#123—734no—
1753#123—732no—
1754#123—732no—
1755#123—732no—
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—732no—
1772C22⋊Q8—732no—
1773C22⋊Q8—732no—
1774C22⋊Q8—732no—
1775C22⋊Q8—731no—
1776C22⋊Q8—731no—
1777C22⋊Q8—732no—
1778C22⋊Q8—734no—
1779C22⋊Q8—734no—
1780C22⋊Q8—734no—
1781C22⋊Q8—731no—
1782C22⋊Q8—731no—
1783C22⋊Q8—732no—
1784C22⋊Q8—732no—
1785C22⋊Q8—731no—
1786C22⋊Q8—731no—
1787C22⋊Q8—734no—
1788C22⋊Q8—734no—
1789C22⋊Q8—734no—
1790C22⋊Q8—734no—
1791C22⋊Q8—734no—
1792C22⋊Q8—734no—
1793C22⋊Q8—734no—
1794C22⋊Q8—732no—
1795C22⋊Q8—732no—
1796C22⋊Q8—734no—
1797C22⋊Q8C22×D7311yescharacteristic
1798C22⋊Q8C22×D7312yes—
1799C22⋊Q8C22×D7312yes—
1800C22⋊Q8C22×D7314yes—
1801C22⋊Q8C22×D7311yescharacteristic, complemented
1802C22⋊Q8C22×D7312yescomplemented
1803C22⋊Q8C22×D7312yescomplemented
1804C22⋊Q8C22×D7312yescomplemented
1805C22⋊Q8C22×D7314yescomplemented
1806C22⋊Q8C22×D7314yescomplemented
1807C22⋊Q8C22×D7314yescomplemented
1808C22⋊Q8C22×D7314yescomplemented
1809C22⋊Q8C22×D7314yescomplemented
1810#121—732no—
1811#121—734no—
1812#121—732no—
1813#121—732no—
1814#121—734no—
1815#121—732no—
1816#121—734no—
1817#121—732no—
1818#121—734no—
1819#121—732no—
1820#121—731no—
1821#121—731no—
1822#121—734no—
1823#121—734no—
1824#121—734no—
1825#121—732no—
1826#121—734no—
1827#121—734no—
1828#121—734no—
1829#121—734no—
1830#121—734no—
1831#121—734no—
1832#121—734no—
1833#121—732no—
1834#121—732no—
1835#121—732no—
1836#121—732no—
1837#121—731no—
1838#121—732no—
1839#121—731no—
1840#121—732no—
1841#121—732no—
1842#121—732no—
1843#121—734no—
1844#121—732no—
1845#121—734no—
1846#121—732no—
1847#121—734no—
1848#121—734no—
1849#121—734no—
1850#121—732no—
1851#121—732no—
1852#121—732no—
1853#121—732no—
1854#121—732no—
1855#121—732no—
1856#121—732no—
1857#121—731no—
1858#121—732no—
1859#121—731no—
1860#121—734no—
1861#121—732no—
1862#121—732no—
1863#121—734no—
1864#121—734no—
1865#121—734no—
1866#121—734no—
1867#121—734no—
1868#121—734no—
1869#121—734no—
1870#121—734no—
1871#121—734no—
1872#121—734no—
1873#121—734no—
1874#121—734no—
1875#121—734no—
1876#121—734no—
1877#121—734no—
1878#121—732no—
1879#121—732no—
1880#121—734no—
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#121—734no—
1890#121—734no—
1891#121—734no—
1892#121—734no—
1893#121—734no—
1894#121—734no—
1895#121C22×D7312yes—
1896#121C22×D7312yes—
1897#121C22×D7312yes—
1898#121C22×D7312yes—
1899#121C22×D7311yescharacteristic
1900#121C22×D7311yescharacteristic, complemented
1901#121C22×D7314yescomplemented
1902#121C22×D7312yescomplemented
1903#121C22×D7314yescomplemented
1904#121C22×D7314yescomplemented
1905#121C22×D7314yescomplemented
1906#121C22×D7314yescomplemented
1907#120—732no—
1908#120—734no—
1909#120—732no—
1910#120—732no—
1911#120—732no—
1912#120—734no—
1913#120—734no—
1914#120—734no—
1915#120—734no—
1916#120—734no—
1917#120—734no—
1918#120—734no—
1919#120—734no—
1920#120—734no—
1921#120—732no—
1922#120—734no—
1923#120—734no—
1924#120—732no—
1925#120—734no—
1926#120—732no—
1927#120—734no—
1928#120—734no—
1929#120—734no—
1930#120—734no—
1931#120—734no—
1932#120—734no—
1933#120—734no—
1934#120—734no—
1935#120—734no—
1936#120—734no—
1937#120—734no—
1938#120—734no—
1939#120—734no—
1940#120—734no—
1941#120—734no—
1942#120—734no—
1943#120—734no—
1944#120—734no—
1945#120C22×D7312yes—
1946#120C22×D7314yes—
1947C4×Q8—732no—
1948C4×Q8—734no—
1949C4×Q8C22×D7312yescomplemented
1950C4×D4—732no—
1951C4×D4—732no—
1952C4×D4—734no—
1953C4×D4—732no—
1954C4×D4—732no—
1955C4×D4—732no—
1956C4×D4—732no—
1957C4×D4—732no—
1958C4×D4—734no—
1959C4×D4—734no—
1960C4×D4—734no—
1961C4×D4—734no—
1962C4×D4—734no—
1963C4×D4—734no—
1964C4×D4—734no—
1965C4×D4—734no—
1966C4×D4—734no—
1967C4×D4—734no—
1968C4×D4—734no—
1969C4×D4—732no—
1970C4×D4—734no—
1971C4×D4—734no—
1972C4×D4—732no—
1973C4×D4—734no—
1974C4×D4—734no—
1975C4×D4—734no—
1976C4×D4—734no—
1977C4×D4—732no—
1978C4×D4—734no—
1979C4×D4—734no—
1980C4×D4—732no—
1981C4×D4—732no—
1982C4×D4—734no—
1983C4×D4—734no—
1984C4×D4—732no—
1985C4×D4—734no—
1986C4×D4—732no—
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×D4—732no—
2002C4×D4C22×D7312yes—
2003C4×D4C22×D7314yes—
2004C4×D4C22×D7312yescomplemented
2005C4×D4C22×D7314yescomplemented
2006C4×D4C22×D7312yescomplemented
2007#117—731no—
2008#117—732no—
2009#117—732no—
2010#117—732no—
2011#117—731no—
2012#117—731no—
2013#117—732no—
2014#117—732no—
2015#117—734no—
2016#117—734no—
2017#117—732no—
2018#117—732no—
2019#117—734no—
2020#117—734no—
2021#117—732no—
2022#117—734no—
2023#117—734no—
2024#117—734no—
2025#117C22×D7311yescharacteristic, complemented
2026C2×C4⋊C4—732no—
2027C2×C4⋊C4—731no—
2028C2×C4⋊C4—731no—
2029C2×C4⋊C4—732no—
2030C2×C4⋊C4—732no—
2031C2×C4⋊C4—732no—
2032C2×C4⋊C4—732no—
2033C2×C4⋊C4—732no—
2034C2×C4⋊C4—731no—
2035C2×C4⋊C4—731no—
2036C2×C4⋊C4—732no—
2037C2×C4⋊C4—732no—
2038C2×C4⋊C4—734no—
2039C2×C4⋊C4—732no—
2040C2×C4⋊C4C22×D7311yescharacteristic
2041C2×C4⋊C4C22×D7311yescharacteristic, complemented
2042C2×C4⋊C4C22×D7312yescomplemented
2043C2×C4⋊C4C22×D7312yescomplemented
2044C2×C22⋊C4—732no—
2045C2×C22⋊C4—732no—
2046C2×C22⋊C4—732no—
2047C2×C22⋊C4—732no—
2048C2×C22⋊C4—732no—
2049C2×C22⋊C4—732no—
2050C2×C22⋊C4—732no—
2051C2×C22⋊C4—734no—
2052C2×C22⋊C4—734no—
2053C2×C22⋊C4—734no—
2054C2×C22⋊C4—734no—
2055C2×C22⋊C4—734no—
2056C2×C22⋊C4—734no—
2057C2×C22⋊C4—734no—
2058C2×C22⋊C4—732no—
2059C2×C22⋊C4—732no—
2060C2×C22⋊C4—732no—
2061C2×C22⋊C4—732no—
2062C2×C22⋊C4—732no—
2063C2×C22⋊C4—734no—
2064C2×C22⋊C4—734no—
2065C2×C22⋊C4—734no—
2066C2×C22⋊C4—734no—
2067C2×C22⋊C4—734no—
2068C2×C22⋊C4—734no—
2069C2×C22⋊C4C22×D7312yes—
2070C2×C22⋊C4C22×D7312yes—
2071C2×C22⋊C4C22×D7314yes—
2072C2×C42—732no—
2073C2×C42—732no—
2074C24—2922no—
2075C24—2924no—
2076C24—2922no—
2077C24—2924no—
2078C24—2924no—
2079C24—734no—
2080C24—734no—
2081C24—731no—
2082C24—732no—
2083C24—734no—
2084C24—734no—
2085C24—732no—
2086C24—732no—
2087C24—731no—
2088C24—731no—
2089C24—731no—
2090C24—731no—
2091C24—731no—
2092C24—1464no—
2093C24C23×D7311yescharacteristic
2094C24C23×D7312yes—
2095#41—42no—
2096#41—48no—
2097#41—44no—
2098#41—2928no—
2099#41—2922no—
2100#41—2928no—
2101#41—2928no—
2102#41—2928no—
2103#41—2924no—
2104#41—2922no—
2105#41—2924no—
2106#41—2924no—
2107#41—2924no—
2108#41—2922no—
2109#41—2928no—
2110#41—2928no—
2111#41—2924no—
2112#41—1468no—
2113#41—1468no—
2114C2×Q8—42no—
2115C2×Q8—2922no—
2116C2×Q8—731no—
2117C2×Q8—734no—
2118C2×Q8—732no—
2119C2×Q8C23×D7312yes—
2120C2×Q8C23×D7312yes—
2121C2×Q8C23×D7311yescharacteristic
2122C2×Q8C23×D7314yes—
2123C2×D4—42no—
2124C2×D4—44no—
2125C2×D4—2922no—
2126C2×D4—2922no—
2127C2×D4—2924no—
2128C2×D4—2924no—
2129C2×D4—2924no—
2130C2×D4—2928no—
2131C2×D4—2928no—
2132C2×D4—2928no—
2133C2×D4—2928no—
2134C2×D4—2924no—
2135C2×D4—2928no—
2136C2×D4—2928no—
2137C2×D4—2928no—
2138C2×D4—2928no—
2139C2×D4—2924no—
2140C2×D4—2928no—
2141C2×D4—2928no—
2142C2×D4—2928no—
2143C2×D4—2924no—
2144C2×D4—2924no—
2145C2×D4—2928no—
2146C2×D4—2924no—
2147C2×D4—2924no—
2148C2×D4—2924no—
2149C2×D4—2924no—
2150C2×D4—2928no—
2151C2×D4—2924no—
2152C2×D4—2922no—
2153C2×D4—2928no—
2154C2×D4—2924no—
2155C2×D4—734no—
2156C2×D4—734no—
2157C2×D4—734no—
2158C2×D4—732no—
2159C2×D4—734no—
2160C2×D4—732no—
2161C2×D4—734no—
2162C2×D4—734no—
2163C2×D4—734no—
2164C2×D4—734no—
2165C2×D4—734no—
2166C2×D4—734no—
2167C2×D4—732no—
2168C2×D4—734no—
2169C2×D4—732no—
2170C2×D4—732no—
2171C2×D4—732no—
2172C2×D4—734no—
2173C2×D4—734no—
2174C2×D4—734no—
2175C2×D4—732no—
2176C2×D4—734no—
2177C2×D4—732no—
2178C2×D4—731no—
2179C2×D4—732no—
2180C2×D4—734no—
2181C2×D4—734no—
2182C2×D4—734no—
2183C2×D4—734no—
2184C2×D4—734no—
2185C2×D4—732no—
2186C2×D4—734no—
2187C2×D4—734no—
2188C2×D4—732no—
2189C2×D4—734no—
2190C2×D4—734no—
2191C2×D4—732no—
2192C2×D4—734no—
2193C2×D4—734no—
2194C2×D4—732no—
2195C2×D4—732no—
2196C2×D4—1468no—
2197C2×D4—1468no—
2198C2×D4—14616no—
2199C2×D4—1468no—
2200C2×D4C23×D7312yes—
2201C2×D4C23×D7312yes—
2202C2×D4C23×D7314yes—
2203C2×D4C23×D7312yes—
2204C2×D4C23×D7311yescharacteristic
2205C2×D4C23×D7312yes—
2206C2×D4C23×D7314yes—
2207C2×D4C23×D7314yes—
2208C2×D4C23×D7312yes—
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—2924no—
2223C22×C4—2922no—
2224C22×C4—732no—
2225C22×C4—731no—
2226C22×C4—731no—
2227C22×C4—732no—
2228C22×C4—734no—
2229C22×C4—732no—
2230C22×C4—731no—
2231C22×C4—732no—
2232C22×C4—731no—
2233C22×C4—731no—
2234C22×C4—731no—
2235C22×C4—732no—
2236C22×C4—734no—
2237C22×C4—731no—
2238C22×C4—734no—
2239C22×C4—732no—
2240C22×C4—734no—
2241C22×C4—734no—
2242C22×C4—734no—
2243C22×C4—734no—
2244C22×C4—734no—
2245C22×C4—734no—
2246C22×C4—731no—
2247C22×C4—731no—
2248C22×C4—731no—
2249C22×C4—731no—
2250C22×C4—731no—
2251C22×C4—731no—
2252C22×C4—731no—
2253C22×C4—732no—
2254C22×C4—731no—
2255C22×C4—731no—
2256C22×C4—734no—
2257C22×C4—731no—
2258C22×C4—731no—
2259C22×C4—731no—
2260C22×C4—731no—
2261C22×C4—734no—
2262C22×C4—732no—
2263C22×C4—731no—
2264C22×C4—731no—
2265C22×C4—1464no—
2266C22×C4—1464no—
2267C22×C4—1464no—
2268C22×C4C23×D7312yes—
2269C22×C4C23×D7311yescharacteristic
2270C22×C4C23×D7311yescharacteristic
2271C22×C4C23×D7312yes—
2272C22×C4C23×D7311yescharacteristic
2273C22×C4C23×D7311yescharacteristic
2274C22×C4C23×D7311yescharacteristic
2275C22×C4C23×D7312yes—
2276C22×C4C23×D7312yes—
2277C22×C4C23×D7314yes—
2278C22×C4C23×D7314yes—
2279C22×C4C23×D7314yes—
2280C22×C4C23×D7311yescharacteristic
2281C4⋊C4—734no—
2282C4⋊C4—732no—
2283C4⋊C4—734no—
2284C4⋊C4—732no—
2285C4⋊C4—732no—
2286C4⋊C4—734no—
2287C4⋊C4—732no—
2288C4⋊C4—732no—
2289C4⋊C4—732no—
2290C4⋊C4—734no—
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—731no—
2302C4⋊C4—731no—
2303C4⋊C4—732no—
2304C4⋊C4—732no—
2305C4⋊C4—734no—
2306C4⋊C4—734no—
2307C4⋊C4C23×D7312yes—
2308C4⋊C4C23×D7312yes—
2309C4⋊C4C23×D7312yes—
2310C4⋊C4C23×D7311yescharacteristic
2311C4⋊C4C23×D7311yescharacteristic
2312C4⋊C4C23×D7312yes—
2313C4⋊C4C23×D7312yes—
2314C4⋊C4C23×D7314yes—
2315C4⋊C4C23×D7312yes—
2316C4⋊C4C23×D7314yes—
2317C4⋊C4C23×D7314yes—
2318C4⋊C4C23×D7314yes—
2319C4⋊C4C23×D7314yes—
2320C4⋊C4C23×D7314yes—
2321C22⋊C4—734no—
2322C22⋊C4—734no—
2323C22⋊C4—732no—
2324C22⋊C4—732no—
2325C22⋊C4—732no—
2326C22⋊C4—732no—
2327C22⋊C4—734no—
2328C22⋊C4—734no—
2329C22⋊C4—732no—
2330C22⋊C4—734no—
2331C22⋊C4—734no—
2332C22⋊C4—734no—
2333C22⋊C4—734no—
2334C22⋊C4—732no—
2335C22⋊C4—734no—
2336C22⋊C4—732no—
2337C22⋊C4—732no—
2338C22⋊C4—732no—
2339C22⋊C4—734no—
2340C22⋊C4—732no—
2341C22⋊C4—734no—
2342C22⋊C4—734no—
2343C22⋊C4—734no—
2344C22⋊C4—734no—
2345C22⋊C4—734no—
2346C22⋊C4—734no—
2347C22⋊C4—734no—
2348C22⋊C4—734no—
2349C22⋊C4—734no—
2350C22⋊C4—734no—
2351C22⋊C4—734no—
2352C22⋊C4—734no—
2353C22⋊C4—734no—
2354C22⋊C4—732no—
2355C22⋊C4—734no—
2356C22⋊C4—732no—
2357C22⋊C4—732no—
2358C22⋊C4—734no—
2359C22⋊C4—732no—
2360C22⋊C4—734no—
2361C22⋊C4—732no—
2362C22⋊C4—734no—
2363C22⋊C4—734no—
2364C22⋊C4—734no—
2365C22⋊C4C23×D7314yes—
2366C22⋊C4C23×D7314yes—
2367C22⋊C4C23×D7312yes—
2368C22⋊C4C23×D7314yes—
2369C22⋊C4C23×D7314yes—
2370C22⋊C4C23×D7314yes—
2371C22⋊C4C23×D7312yes—
2372C22⋊C4C23×D7312yes—
2373C22⋊C4C23×D7314yes—
2374C22⋊C4C23×D7312yes—
2375C22⋊C4C23×D7314yes—
2376C22⋊C4C23×D7314yes—
2377C22⋊C4C23×D7312yes—
2378C22⋊C4C23×D7314yes—
2379C42—734no—
2380C42—732no—
2381C42—732no—
2382C42—734no—
2383C42—732no—
2384C42—734no—
2385C42—734no—
2386C42—734no—
2387C42C23×D7312yes—
2388C42C23×D7314yes—
2389C23—22no—
2390C23—22no—
2391C23—24no—
2392C23—41no—
2393C23—42no—
2394C23—42no—
2395C23—2921no—
2396C23—2921no—
2397C23—2921no—
2398C23—2921no—
2399C23—2921no—
2400C23—2921no—
2401C23—2921no—
2402C23—2922no—
2403C23—2922no—
2404C23—2922no—
2405C23—2922no—
2406C23—2924no—
2407C23—2924no—
2408C23—2922no—
2409C23—2922no—
2410C23—2924no—
2411C23—2924no—
2412C23—2924no—
2413C23—2924no—
2414C23—2924no—
2415C23—2924no—
2416C23—2924no—
2417C23—2924no—
2418C23—29216no—
2419C23—58416no—
2420C23—734no—
2421C23—731no—
2422C23—731no—
2423C23—731no—
2424C23—734no—
2425C23—731no—
2426C23—732no—
2427C23—734no—
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—1464no—
2442C23—1462no—
2443C23C24×D7314yes—
2444C23C24×D7312yes—
2445C23C24×D7311yescharacteristic
2446C23C24×D7311yescharacteristic
2447C23C24×D7311yescharacteristic
2448Q8—24no—
2449Q8—42no—
2450Q8—41no—
2451Q8—44no—
2452Q8—2921no—
2453Q8—2924no—
2454Q8—1464no—
2455D4—28no—
2456D4—24no—
2457D4—24no—
2458D4—24no—
2459D4—42no—
2460D4—44no—
2461D4—44no—
2462D4—44no—
2463D4—41no—
2464D4—42no—
2465D4—2922no—
2466D4—2924no—
2467D4—2924no—
2468D4—2924no—
2469D4—2924no—
2470D4—2924no—
2471D4—2924no—
2472D4—2921no—
2473D4—2922no—
2474D4—2924no—
2475D4—2924no—
2476D4—2922no—
2477D4—2924no—
2478D4—2924no—
2479D4—2924no—
2480D4—2924no—
2481D4—2924no—
2482D4—2924no—
2483D4—2922no—
2484D4—2924no—
2485D4—2924no—
2486D4—2924no—
2487D4—2922no—
2488D4—2924no—
2489D4—1468no—
2490D4—1464no—
2491D4—1468no—
2492D4—1468no—
2493D4—1468no—
2494D4—1464no—
2495D4—1468no—
2496D4—1464no—
2497D4—1468no—
2498D4—1464no—
2499D4—1464no—
2500D4—1468no—
2501D4—1464no—
2502D4—1464no—
2503D4—1468no—
2504D4—1464no—
2505D4—1464no—
2506C2×C4—24no—
2507C2×C4—22no—
2508C2×C4—22no—
2509C2×C4—22no—
2510C2×C4—24no—
2511C2×C4—41no—
2512C2×C4—41no—
2513C2×C4—41no—
2514C2×C4—42no—
2515C2×C4—42no—
2516C2×C4—44no—
2517C2×C4—44no—
2518C2×C4—44no—
2519C2×C4—2921no—
2520C2×C4—2921no—
2521C2×C4—2921no—
2522C2×C4—2921no—
2523C2×C4—2921no—
2524C2×C4—2921no—
2525C2×C4—2924no—
2526C2×C4—2922no—
2527C2×C4—2922no—
2528C2×C4—2924no—
2529C2×C4—2924no—
2530C2×C4—2924no—
2531C2×C4—2924no—
2532C2×C4—2924no—
2533C2×C4—2924no—
2534C2×C4—2924no—
2535C2×C4—2922no—
2536C2×C4—2921no—
2537C2×C4—2921no—
2538C2×C4—2921no—
2539C2×C4—2922no—
2540C2×C4—2922no—
2541C2×C4—2922no—
2542C2×C4—2924no—
2543C2×C4—731no—
2544C2×C4—734no—
2545C2×C4—732no—
2546C2×C4—734no—
2547C2×C4—731no—
2548C2×C4—731no—
2549C2×C4—732no—
2550C2×C4—732no—
2551C2×C4—734no—
2552C2×C4—731no—
2553C2×C4—1462no—
2554C2×C4—1462no—
2555C2×C4—1462no—
2556C2×C4—1468no—
2557C2×C4—1462no—
2558C2×C4—1462no—
2559C2×C4—1462no—
2560C2×C4—1468no—
2561C2×C4—1464no—
2562C2×C4—1462no—
2563C2×C4—1462no—
2564C2×C4—1462no—
2565C2×C4—1462no—
2566C2×C4—1462no—
2567C2×C4—1462no—
2568C2×C4—1464no—
2569C2×C4C24×D7312yes—
2570C2×C4C24×D7314yes—
2571C2×C4C24×D7312yes—
2572C2×C4C24×D7312yes—
2573C2×C4C24×D7314yes—
2574C2×C4C24×D7314yes—
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—22no—
2586C22—24no—
2587C22—24no—
2588C22—21no—
2589C22—24no—
2590C22—22no—
2591C22—21no—
2592C22—44no—
2593C22—84no—
2594C22—2924no—
2595C22—2924no—
2596C22—2924no—
2597C22—2924no—
2598C22—2924no—
2599C22—5844no—
2600C22—5844no—
2601C22—5848no—
2602C22—5848no—
2603C22—5844no—
2604C22—732no—
2605C22—732no—
2606C22—732no—
2607C22—11684no—
2608C22—11684no—
2609C22—1468no—
2610C22—1461no—
2611C22—1462no—
2612C22—1464no—
2613C22—1464no—
2614C22—1462no—
2615C22—1464no—
2616C22—1464no—
2617C22—1461no—
2618C22—1464no—
2619C22—1461no—
2620C22—1464no—
2621C22—1462no—
2622C22—1461no—
2623C22—1461no—
2624C22—1461no—
2625C22—1461no—
2626C22—1461no—
2627C22—1461no—
2628C22H(5,𝔽2)×D7312yes—
2629C22#1798942412yes—
2630C22C25×D7311yescharacteristic
2631C4—21no—
2632C4—21no—
2633C4—21no—
2634C4—22no—
2635C4—24no—
2636C4—24no—
2637C4—22no—
2638C4—24no—
2639C4—22no—
2640C4—732no—
2641C4—1461no—
2642C4—1461no—
2643C4—1461no—
2644C4—1464no—
2645C4—1462no—
2646C4—1462no—
2647C4—1464no—
2648C4—1462no—
2649C4H(5,𝔽2)×D7312yes—
2650C2—22no—
2651C2—22no—
2652C2—41no—
2653C2—44no—
2654C2—42no—
2655C2—2921no—
2656C2—2924no—
2657C2—2924no—
2658C2—2922no—
2659C2—1462no—
2660C2—1462no—
2661C2—1462no—
2662C2C2×H(5,𝔽2)×D7311yescharacteristic
2663C2C2×H(5,𝔽2)×D7311yescharacteristic
2664C2C2×#1798942411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3536C2
hypercenter#3536D73
hypocenterC73#62818
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3536

Complements

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

NH ≅ G/Ntype
1. #22624244C2semidirect
2. #22624243C2semidirect
3. #22624235C2semidirect
4. #22624170C2semidirect
5. #22624166C2semidirect
6. #22624163C2semidirect
7. #22624160C2semidirect
8. #22624157C2semidirect
9. #22624126C2semidirect
10. #22624123C2semidirect
11. #22624110C2semidirect
12. #22623964C2semidirect
13. #22623960C2semidirect
14. #22623952C2semidirect
15. #22623767C2semidirect
16. #22623763C2semidirect
17. #22623694C2semidirect
18. #22623689C2semidirect
19. #22623664C2semidirect
20. #22623655C2semidirect
21. #22623639C2semidirect
22. #22623621C2semidirect
23. #22623617C2semidirect
24. #22623597C2semidirect
25. #22623595C2semidirect
26. #22623561C2semidirect
27. #22623561C2semidirect
28. C2×#17989100C2semidirect
29. #525×D73C2semidirect
30. C2×#121×D73C2semidirect
31. C73×#3536C2semidirect
32. C2×#14556637C22semidirect
33. C2×#14556637C22semidirect
34. C22×#11924029C22semidirect
35. C2×#41×D73C22semidirect
36. C22×D4×D73C22semidirect
37. C22×D4×D73C22semidirect
38. C23×C4×D73C22semidirect
39. #17989333C22semidirect
40. #17989333C22semidirect
41. #17989333C22semidirect
42. #17989328C22semidirect
43. #17989327C22semidirect
44. #17989325C22semidirect
45. #17989325C22semidirect
46. #17989303C22semidirect
47. #17989301C22semidirect
48. #17989299C22semidirect
49. #17989295C22semidirect
50. #17989291C22semidirect
51. #17989290C22semidirect
52. #17989289C22semidirect
53. #17989288C22semidirect
54. #17989287C22semidirect
55. #17989286C22semidirect
56. #17989286C22semidirect
57. #17989285C22semidirect
58. #17989285C22semidirect
59. #17989283C22semidirect
60. #17989283C22semidirect
61. #17989282C22semidirect
62. #17989282C22semidirect
63. #17989280C22semidirect
64. #17989278C22semidirect
65. #17989271C22semidirect
66. #17989269C22semidirect
67. #17989267C22semidirect
68. #17989265C22semidirect
69. #17989264C22semidirect
70. #17989264C22semidirect
71. #17989264C22semidirect
72. #17989264C22semidirect
73. #17989262C22semidirect
74. #17989262C22semidirect
75. #17989259C22semidirect
76. #17989256C22semidirect
77. #17989255C22semidirect
78. #17989248C22semidirect
79. #17989247C22semidirect
80. #17989240C22semidirect
81. #17989239C22semidirect
82. #17989239C22semidirect
83. #17989238C22semidirect
84. #17989238C22semidirect
85. #17989234C22semidirect
86. #17989234C22semidirect
87. #17989230C22semidirect
88. #17989230C22semidirect
89. #17989230C22semidirect
90. #17989230C22semidirect
91. #17989229C22semidirect
92. #17989229C22semidirect
93. #17989229C22semidirect
94. #17989229C22semidirect
95. #17989229C22semidirect
96. #17989228C22semidirect
97. #17989228C22semidirect
98. #17989228C22semidirect
99. #17989228C22semidirect
100. #17989228C22semidirect
101. #17989228C22semidirect
102. #17989228C22semidirect
103. #17989228C22semidirect
104. #17989227C22semidirect
105. #17989227C22semidirect
106. #17989227C22semidirect
107. #17989226C22semidirect
108. #17989226C22semidirect
109. #17989225C22semidirect
110. #17989225C22semidirect
111. #17989225C22semidirect
112. D4×D292C22semidirect
113. D4×D292C22semidirect
114. D4×D292C22semidirect
115. D4×D292C22semidirect
116. D4×D292C22semidirect
117. #17989221C22semidirect
118. #17989221C22semidirect
119. #17989221C22semidirect
120. #17989221C22semidirect
121. #17989221C22semidirect
122. #17989221C22semidirect
123. #17989221C22semidirect
124. D4×C22⋊D73C22semidirect
125. D4×C22⋊D73C22semidirect
126. #17989219C22semidirect
127. #17989219C22semidirect
128. #17989219C22semidirect
129. #17989214C22semidirect
130. #17989212C22semidirect
131. #17989210C22semidirect
132. #17989207C22semidirect
133. #17989193C22semidirect
134. #17989192C22semidirect
135. #17989190C22semidirect
136. #17989189C22semidirect
137. #17989189C22semidirect
138. #17989187C22semidirect
139. #17989187C22semidirect
140. #17989185C22semidirect
141. #17989184C22semidirect
142. #17989183C22semidirect
143. #17989183C22semidirect
144. #17989177C22semidirect
145. #17989177C22semidirect
146. #17989177C22semidirect
147. #17989177C22semidirect
148. #17989177C22semidirect
149. #17989175C22semidirect
150. #17989174C22semidirect
151. #17989173C22semidirect
152. #17989172C22semidirect
153. #17989171C22semidirect
154. #17989171C22semidirect
155. #17989169C22semidirect
156. #17989168C22semidirect
157. #17989167C22semidirect
158. #17989167C22semidirect
159. #17989167C22semidirect
160. #17989167C22semidirect
161. #17989155C22semidirect
162. #17989155C22semidirect
163. #17989155C22semidirect
164. #17989153C22semidirect
165. #17989153C22semidirect
166. #17989153C22semidirect
167. #17989151C22semidirect
168. #17989149C22semidirect
169. #17989148C22semidirect
170. #17989148C22semidirect
171. #17989148C22semidirect
172. #17989148C22semidirect
173. #17989145C22semidirect
174. #17989145C22semidirect
175. #17989145C22semidirect
176. #17989145C22semidirect
177. #17989145C22semidirect
178. #17989145C22semidirect
179. #17989138C22semidirect
180. #17989134C22semidirect
181. #17989133C22semidirect
182. #17989124C22semidirect
183. #17989116C22semidirect
184. #17989114C22semidirect
185. #17989100C22semidirect
186. #17989100C22semidirect
187. #17989100C22semidirect
188. #17989100C22semidirect
189. #17989100C22semidirect
190. #17989100C22semidirect
191. #17989100C22semidirect
192. #17989100C22semidirect
193. #17989100C22semidirect
194. #17989100C22semidirect
195. #17989100C22semidirect
196. #17989100C22semidirect
197. #17989099C22semidirect
198. #17989098C22semidirect
199. #17989097C22semidirect
200. #17989097C22semidirect
201. #17989096C22semidirect
202. #17989096C22semidirect
203. #17989096C22semidirect
204. #17989096C22semidirect
205. #17989095C22semidirect
206. #17989094C22semidirect
207. #17989094C22semidirect
208. #17989093C22semidirect
209. C2×#14556576C22semidirect
210. #123×D73C22semidirect
211. C2×#14556567C22semidirect
212. C22⋊Q8×D73C22semidirect
213. C22⋊Q8×D73C22semidirect
214. C2×#14556566C22semidirect
215. C2×#14556566C22semidirect
216. C2×#14556566C22semidirect
217. C2×#14556565C22semidirect
218. C2×#14556565C22semidirect
219. C2×#14556564C22semidirect
220. C2×#14556563C22semidirect
221. C2×#14556562C22semidirect
222. #121×D73C22semidirect
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×#14556561C22semidirect
235. C2×#14556561C22semidirect
236. #120×D73C22semidirect
237. #120×D73C22semidirect
238. #17989069C22semidirect
239. #17989068C22semidirect
240. #17989060C22semidirect
241. #17989059C22semidirect
242. #17989059C22semidirect
243. #17989059C22semidirect
244. C2×#14556553C22semidirect
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. #562×C73C22semidirect
253. #554×C73C22semidirect
254. #548×C73C22semidirect
255. #547×C73C22semidirect
256. #546×C73C22semidirect
257. #546×C73C22semidirect
258. #543×C73C22semidirect
259. #542×C73C22semidirect
260. #539×C73C22semidirect
261. #538×C73C22semidirect
262. #537×C73C22semidirect
263. #537×C73C22semidirect
264. #525×C73C22semidirect
265. C2×C22⋊Q8×C73C22semidirect
266. C2×#121×C73C22semidirect
276. C2×#11924029C23semidirect
277. C2×#11924029C23semidirect
278. C2×#11924029C23semidirect
279. C2×#11924029C23semidirect
282. C2×#11924028C23semidirect
283. C2×#11924028C23semidirect
284. C2×#11924028C23semidirect
285. C2×#11924028C23semidirect
287. C2×#11924027C23semidirect
289. C2×Q8×D73C23semidirect
296. C22×D292C23semidirect
297. C22×D292C23semidirect
298. C22×D292C23semidirect
320. C2×D4×D73C23semidirect
321. C2×D4×D73C23semidirect
322. C2×D4×D73C23semidirect
323. C2×D4×D73C23semidirect
324. C2×D4×D73C23semidirect
325. C2×D4×D73C23semidirect
341. C22×C4×D73C23semidirect
342. C22×C4×D73C23semidirect
343. #14556590C23semidirect
344. #14556589C23semidirect
345. #14556588C23semidirect
346. #14556588C23semidirect
347. #14556587C23semidirect
348. #14556587C23semidirect
349. #14556587C23semidirect
350. #14556587C23semidirect
351. #14556587C23semidirect
352. #14556586C23semidirect
353. #14556586C23semidirect
354. #14556586C23semidirect
355. #14556586C23semidirect
356. #14556586C23semidirect
357. #14556586C23semidirect
358. #14556585C23semidirect
359. #14556584C23semidirect
360. #14556584C23semidirect
361. #14556584C23semidirect
362. #14556584C23semidirect
363. #14556583C23semidirect
364. #14556582C23semidirect
365. #14556581C23semidirect
366. #14556581C23semidirect
367. #14556581C23semidirect
368. #14556581C23semidirect
369. #14556580C23semidirect
370. #14556580C23semidirect
371. #14556580C23semidirect
372. #14556580C23semidirect
373. #14556580C23semidirect
374. #14556580C23semidirect
375. #14556578C23semidirect
376. #14556577C23semidirect
377. #14556577C23semidirect
378. #14556577C23semidirect
379. #14556577C23semidirect
380. #14556577C23semidirect
388. #14556576C23semidirect
389. #14556576C23semidirect
390. #14556576C23semidirect
391. #14556576C23semidirect
392. #14556576C23semidirect
393. #14556576C23semidirect
394. #14556576C23semidirect
395. #14556576C23semidirect
396. #14556576C23semidirect
397. #14556576C23semidirect
398. #14556576C23semidirect
399. #14556576C23semidirect
400. #14556575C23semidirect
401. #14556575C23semidirect
402. #14556575C23semidirect
403. #14556574C23semidirect
404. #14556574C23semidirect
405. #14556574C23semidirect
406. #14556574C23semidirect
407. #14556574C23semidirect
411. #14556573C23semidirect
412. #14556573C23semidirect
413. #14556573C23semidirect
414. #14556573C23semidirect
415. #14556573C23semidirect
416. #14556573C23semidirect
417. #14556573C23semidirect
418. #14556572C23semidirect
419. #14556572C23semidirect
421. #14556571C23semidirect
422. #14556571C23semidirect
423. #14556571C23semidirect
425. #14556570C23semidirect
428. #14556569C23semidirect
429. #14556569C23semidirect
430. #14556569C23semidirect
431. #14556569C23semidirect
432. #14556569C23semidirect
435. #14556568C23semidirect
440. #14556567C23semidirect
441. #14556567C23semidirect
442. #14556567C23semidirect
443. #14556567C23semidirect
444. #14556567C23semidirect
445. #14556567C23semidirect
454. #14556566C23semidirect
455. #14556566C23semidirect
456. #14556566C23semidirect
457. #14556566C23semidirect
458. #14556566C23semidirect
459. #14556566C23semidirect
460. #14556566C23semidirect
461. #14556566C23semidirect
462. #14556566C23semidirect
463. #14556566C23semidirect
464. #14556566C23semidirect
465. #14556566C23semidirect
466. #14556566C23semidirect
467. #14556566C23semidirect
468. #14556566C23semidirect
469. #14556566C23semidirect
478. #14556565C23semidirect
479. #14556565C23semidirect
480. #14556565C23semidirect
481. #14556565C23semidirect
482. #14556565C23semidirect
483. #14556565C23semidirect
484. #14556565C23semidirect
485. #14556565C23semidirect
486. #14556565C23semidirect
493. #14556564C23semidirect
494. #14556564C23semidirect
495. #14556564C23semidirect
496. #14556564C23semidirect
497. #14556564C23semidirect
498. #14556564C23semidirect
499. #14556564C23semidirect
500. #14556564C23semidirect
501. #14556564C23semidirect
502. #14556564C23semidirect
503. #14556564C23semidirect
504. #14556564C23semidirect
505. #14556564C23semidirect
506. #14556564C23semidirect
507. #14556564C23semidirect
514. #14556563C23semidirect
515. #14556563C23semidirect
516. #14556563C23semidirect
517. #14556563C23semidirect
518. #14556563C23semidirect
519. #14556563C23semidirect
520. #14556563C23semidirect
521. #14556563C23semidirect
527. #14556562C23semidirect
528. #14556562C23semidirect
529. #14556562C23semidirect
530. #14556562C23semidirect
546. #14556561C23semidirect
547. #14556561C23semidirect
548. #14556561C23semidirect
549. #14556561C23semidirect
550. #14556561C23semidirect
551. #14556561C23semidirect
552. #14556561C23semidirect
553. #14556561C23semidirect
554. #14556561C23semidirect
562. #14556559C23semidirect
563. #14556559C23semidirect
564. #14556559C23semidirect
565. #14556559C23semidirect
566. #14556559C23semidirect
567. #14556559C23semidirect
568. #14556559C23semidirect
569. Q8×Dic73C23semidirect
570. #14556556C23semidirect
573. C4×D292C23semidirect
574. C4×D292C23semidirect
575. C4×D292C23semidirect
576. C4×D292C23semidirect
577. C4×D292C23semidirect
579. D4×Dic73C23semidirect
580. D4×Dic73C23semidirect
581. D4×Dic73C23semidirect
587. #14556553C23semidirect
588. #14556553C23semidirect
589. #14556553C23semidirect
590. #14556553C23semidirect
591. #14556553C23semidirect
592. #14556553C23semidirect
593. #14556553C23semidirect
598. C4×C22⋊D73C23semidirect
599. C4×C22⋊D73C23semidirect
600. C4×C22⋊D73C23semidirect
601. C4×C22⋊D73C23semidirect
602. C4×C22⋊D73C23semidirect
603. C4×C22⋊D73C23semidirect
604. C4×C22⋊D73C23semidirect
605. C4×C22⋊D73C23semidirect
606. C4×C22⋊D73C23semidirect
607. C4×C22⋊D73C23semidirect
608. C4×C22⋊D73C23semidirect
615. #14556551C23semidirect
616. #14556551C23semidirect
617. #14556551C23semidirect
618. #14556551C23semidirect
619. #14556551C23semidirect
620. #14556551C23semidirect
621. #14556551C23semidirect
622. #14556551C23semidirect
623. #14556550C23semidirect
624. #14556550C23semidirect
630. #14556549C23semidirect
631. #14556549C23semidirect
632. #14556549C23semidirect
633. #14556549C23semidirect
636. #14556548C23semidirect
637. #14556548C23semidirect
638. #14556547C23semidirect
639. #14556547C23semidirect
640. #14556547C23semidirect
642. C2×C4⋊Dic73C23semidirect
644. C2×#11924007C23semidirect
649. C4⋊C4×D73C23semidirect
650. C4⋊C4×D73C23semidirect
651. C4⋊C4×D73C23semidirect
652. C4⋊C4×D73C23semidirect
653. C4⋊C4×D73C23semidirect
654. C4⋊C4×D73C23semidirect
662. C2×#11924005C23semidirect
663. C2×#11924005C23semidirect
664. C2×#11924005C23semidirect
675. C22⋊C4×D73C23semidirect
676. C22⋊C4×D73C23semidirect
677. C22⋊C4×D73C23semidirect
678. C22⋊C4×D73C23semidirect
679. C22⋊C4×D73C23semidirect
680. C2×C4×Dic73C23semidirect
681. C42×D73C23semidirect
682. C2×#41×C73C23semidirect
683. C2×#41×C73C23semidirect
684. C2×#41×C73C23semidirect
685. C22×Q8×C73C23semidirect
689. C4⋊Q8×C73C23semidirect
690. #126×C73C23semidirect
691. #125×C73C23semidirect
692. #124×C73C23semidirect
693. #124×C73C23semidirect
694. #124×C73C23semidirect
695. #123×C73C23semidirect
696. #123×C73C23semidirect
697. #123×C73C23semidirect
698. #123×C73C23semidirect
699. #123×C73C23semidirect
704. C22⋊Q8×C73C23semidirect
705. C22⋊Q8×C73C23semidirect
706. C22⋊Q8×C73C23semidirect
707. C22⋊Q8×C73C23semidirect
708. C22⋊Q8×C73C23semidirect
709. C22⋊Q8×C73C23semidirect
710. C22⋊Q8×C73C23semidirect
711. C22⋊Q8×C73C23semidirect
712. C22⋊Q8×C73C23semidirect
718. #121×C73C23semidirect
719. #121×C73C23semidirect
720. #121×C73C23semidirect
721. #121×C73C23semidirect
722. #121×C73C23semidirect
723. #121×C73C23semidirect
724. #121×C73C23semidirect
727. C4×Q8×C73C23semidirect
730. C4×D4×C73C23semidirect
731. C4×D4×C73C23semidirect
732. C4×D4×C73C23semidirect
733. #117×C73C23semidirect
735. C2×C4⋊C4×C73C23semidirect
736. C2×C4⋊C4×C73C23semidirect
737. C2×C4⋊C4×C73C23semidirect
1107. C22×D73H(5,𝔽2)semidirect
1242. C4×D73H(5,𝔽2)semidirect
1341. #3536D73semidirect
1364. C73#62818semidirect
1375. #562C2×D73semidirect
1385. #554C2×D73semidirect
1415. #548C2×D73semidirect
1421. #547C2×D73semidirect
1449. #546C2×D73semidirect
1450. #546C2×D73semidirect
1470. #543C2×D73semidirect
1473. #542C2×D73semidirect
1485. #539C2×D73semidirect
1498. #538C2×D73semidirect
1504. #537C2×D73semidirect
1505. #537C2×D73semidirect
1554. #525C2×D73semidirect
1560. C2×C22⋊Q8C2×D73semidirect
1581. C2×#121C2×D73semidirect
1622. C2×#41C22×D73semidirect
1623. C2×#41C22×D73semidirect
1624. C2×#41C22×D73semidirect
1626. C22×Q8C22×D73semidirect
1685. C4⋊Q8C22×D73semidirect
1704. #126C22×D73semidirect
1711. #125C22×D73semidirect
1724. #124C22×D73semidirect
1725. #124C22×D73semidirect
1726. #124C22×D73semidirect
1766. #123C22×D73semidirect
1767. #123C22×D73semidirect
1768. #123C22×D73semidirect
1769. #123C22×D73semidirect
1770. #123C22×D73semidirect
1801. C22⋊Q8C22×D73semidirect
1802. C22⋊Q8C22×D73semidirect
1803. C22⋊Q8C22×D73semidirect
1804. C22⋊Q8C22×D73semidirect
1805. C22⋊Q8C22×D73semidirect
1806. C22⋊Q8C22×D73semidirect
1807. C22⋊Q8C22×D73semidirect
1808. C22⋊Q8C22×D73semidirect
1809. C22⋊Q8C22×D73semidirect
1900. #121C22×D73semidirect
1901. #121C22×D73semidirect
1902. #121C22×D73semidirect
1903. #121C22×D73semidirect
1904. #121C22×D73semidirect
1905. #121C22×D73semidirect
1906. #121C22×D73semidirect
1949. C4×Q8C22×D73semidirect
2004. C4×D4C22×D73semidirect
2005. C4×D4C22×D73semidirect
2006. C4×D4C22×D73semidirect
2025. #117C22×D73semidirect
2041. C2×C4⋊C4C22×D73semidirect
2042. C2×C4⋊C4C22×D73semidirect
2043. C2×C4⋊C4C22×D73semidirect

Maximal subgroups

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

subgroupindex
#226242442
#226242432
#226242352
#226241702
#226241662
#226241632
#226241602
#226241572
#226241262
#226241232
#226241102
#226239642
#226239602
#226239522
#226237672
#226237632
#226236942
#226236892
#226236642
#226236552
#226236392
#226236212
#226236172
#226235972
#226235952
#226235612
C2×#179891002
#525×D732
C2×#121×D732
C73×#35362
#6281873