Finite Group Databasebeta

← #33994578

Subgroups — #33994578

Order 18688.

7220 conjugacy classes of subgroups.

The subgroup lattice has 2638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624034C212yesmaximal, complemented
2#22624025C211yesmaximal, characteristic, complemented
3#22624008C211yesmaximal, characteristic, complemented
4#22623995C214yesmaximal, complemented
5#22623987C212yesmaximal, complemented
6#22623980C211yesmaximal, characteristic, complemented
7#22623968C212yesmaximal, complemented
8#22623957C212yesmaximal, complemented
9#22623947C211yesmaximal, characteristic, complemented
10#22623934C211yesmaximal, characteristic, complemented
11#22623915C212yesmaximal, complemented
12#22623910C211yesmaximal, characteristic, complemented
13#22623902C212yesmaximal, complemented
14#22623889C212yesmaximal, complemented
15#22623883C211yesmaximal, characteristic, complemented
16#22623864C214yesmaximal, complemented
17#22623856C212yesmaximal, complemented
18#22623530C211yesmaximal, characteristic, complemented
19#22623525C212yesmaximal, complemented
20#22623510C211yesmaximal, characteristic, complemented
21#22623490C212yesmaximal, complemented
22#22623488C211yesmaximal, characteristic, complemented
23#22623482C214yesmaximal, complemented
24#22623482C212yesmaximal, complemented
25D4×#11924027C212yesmaximal, complemented
26D4×#11924027C211yesmaximal, characteristic, complemented
27#22623315C212yesmaximal, complemented
28#22623313C214yesmaximal, complemented
29#22623226C211yesmaximal, characteristic, complemented
30#22623223C212yesmaximal, complemented
31C2×#17989118C212yesmaximal, complemented
32#529×D73C211yesmaximal, characteristic, complemented
33#22623129C212yesmaximal, complemented
34C2×C4×#11924027C211yesmaximal, characteristic, complemented
35C73×#3519C211yesmaximal, characteristic, complemented
36C22×#11924027C2211yescharacteristic
37C22×#11924027C2212yes—
38#17989323C2211yescharacteristic, complemented
39#17989323C2212yescomplemented
40#17989321C2214yescomplemented
41#17989320C2212yescomplemented
42#17989317C2211yescharacteristic, complemented
43#17989316C2211yescharacteristic, complemented
44#17989315C2211yescharacteristic, complemented
45#17989314C2212yescomplemented
46#17989314C2212yescomplemented
47#17989307C2211yescharacteristic, complemented
48#17989307C2212yescomplemented
49#17989307C2211yescharacteristic, complemented
50#17989306C2212yescomplemented
51#17989306C2214yescomplemented
52#17989305C2212yescomplemented
53#17989305C2212yescomplemented
54#17989304C2214yescomplemented
55#17989301C2212yescomplemented
56#17989301C2214yescomplemented
57#17989301C2212yescomplemented
58#17989298C2211yescharacteristic, complemented
59#17989296C2212yescomplemented
60#17989296C2212yescomplemented
61#17989296C2214yescomplemented
62#17989292C2212yescomplemented
63#17989292C2212yescomplemented
64#17989291C2214yescomplemented
65#17989287C2212yescomplemented
66#17989286C2214yescomplemented
67#17989285C2212yescomplemented
68#17989284C2212yescomplemented
69#17989284C2214yescomplemented
70#17989284C2212yescomplemented
71#17989280C2214yescomplemented
72#17989280C2214yescomplemented
73#17989280C2214yescomplemented
74#17989280C2214yescomplemented
75#17989279C2212yescomplemented
76#17989279C2214yescomplemented
77#17989277C2212yescomplemented
78#17989277C2212yescomplemented
79#17989277C2214yescomplemented
80#17989276C2212yescomplemented
81#17989276C2212yescomplemented
82#17989275C2212yescomplemented
83#17989274C2214yescomplemented
84#17989274C2214yescomplemented
85#17989274C2214yescomplemented
86#17989273C2214yescomplemented
87#17989268C2214yescomplemented
88#17989268C2214yescomplemented
89#17989268C2214yescomplemented
90#17989267C2214yescomplemented
91#17989266C2214yescomplemented
92#17989265C2214yescomplemented
93#17989263C2214yescomplemented
94#17989263C2214yescomplemented
95#17989263C2214yescomplemented
96#17989257C2211yescharacteristic, complemented
97#17989257C2212yescomplemented
98#17989255C2212yescomplemented
99D4×Dic146C2211yescharacteristic, complemented
100D4×Dic146C2212yescomplemented
101D4×Dic146C2211yescharacteristic, complemented
102#17989250C2212yescomplemented
103#17989246C2212yescomplemented
104#17989244C2212yescomplemented
105#17989243C2212yescomplemented
106#17989243C2212yescomplemented
107#17989243C2212yescomplemented
108#17989243C2212yescomplemented
109#17989242C2211yescharacteristic, complemented
110#17989241C2211yescharacteristic, complemented
111#17989241C2212yescomplemented
112#17989237C2212yescomplemented
113#17989237C2212yescomplemented
114#17989237C2214yescomplemented
115#17989236C2214yescomplemented
116#17989236C2212yescomplemented
117#17989234C2212yescomplemented
118#17989231C2212yescomplemented
119#17989231C2212yescomplemented
120#17989231C2214yescomplemented
121#17989231C2212yescomplemented
122#17989231C2212yescomplemented
123#17989226C2214yescomplemented
124#17989224C2214yescomplemented
125#17989224C2214yescomplemented
126#17989224C2214yescomplemented
127D4×C22⋊D73C2214yescomplemented
128D4×C22⋊D73C2212yescomplemented
129#17989205C2214yescomplemented
130#17989205C2214yescomplemented
131#17989204C2212yescomplemented
132#17989204C2212yescomplemented
133#17989202C2212yescomplemented
134#17989202C2212yescomplemented
135#17989201C2214yescomplemented
136#17989201C2214yescomplemented
137#17989200C2212yescomplemented
138#17989199C2212yescomplemented
139#17989194C2214yescomplemented
140#17989194C2214yescomplemented
141#17989191C2212yescomplemented
142#17989187C2214yescomplemented
143#17989187C2214yescomplemented
144#17989186C2214yescomplemented
145#17989182C2214yescomplemented
146#17989180C2214yescomplemented
147#17989180C2214yescomplemented
148#17989179C2214yescomplemented
149#17989179C2214yescomplemented
150#17989175C2214yescomplemented
151#17989172C2214yescomplemented
152#17989172C2214yescomplemented
153#17989169C2214yescomplemented
154#17989169C2214yescomplemented
155#17989144C2211yescharacteristic, complemented
156#17989143C2212yescomplemented
157#17989142C2211yescharacteristic, complemented
158#17989142C2211yescharacteristic, complemented
159#17989140C2212yescomplemented
160#17989139C2214yescomplemented
161#17989139C2212yescomplemented
162#17989139C2212yescomplemented
163#17989135C2212yescomplemented
164#17989135C2211yescharacteristic, complemented
165#17989135C2211yescharacteristic, complemented
166#17989133C2212yescomplemented
167#17989132C2212yescomplemented
168#17989132C2214yescomplemented
169#17989132C2212yescomplemented
170#17989124C2211yescharacteristic, complemented
171#17989123C2212yescomplemented
172#17989123C2211yescharacteristic, complemented
173#17989122C2211yescharacteristic, complemented
174#17989121C2211yescharacteristic, complemented
175#17989120C2214yescomplemented
176#17989120C2212yescomplemented
177#17989119C2212yescomplemented
178#17989119C2211yescharacteristic, complemented
179#17989119C2212yescomplemented
180#17989118C2212yes—
181#17989118C2211yescharacteristic
182#17989118C2212yescomplemented
183#17989118C2214yescomplemented
184#17989118C2212yescomplemented
185#17989118C2214yescomplemented
186#17989118C2212yescomplemented
187#17989118C2214yescomplemented
188#17989118C2214yescomplemented
189#17989118C2214yescomplemented
190#17989118C2212yescomplemented
191#17989118C2214yescomplemented
192#17989118C2212yescomplemented
193#17989118C2212yescomplemented
194#17989118C2212yescomplemented
195#17989118C2212yescomplemented
196#17989117C2212yescomplemented
197#17989117C2214yescomplemented
198#17989117C2214yescomplemented
199#17989116C2214yescomplemented
200#17989116C2212yescomplemented
201#17989116C2211yescharacteristic, complemented
202#17989116C2212yescomplemented
203#17989115C2212yescomplemented
204#17989114C2214yescomplemented
205#17989114C2214yescomplemented
206#17989114C2214yescomplemented
207#17989114C2214yescomplemented
208#17989114C2212yescomplemented
209C2×#14556584C2214yescomplemented
210#126×D73C2212yescomplemented
211C2×#14556582C2212yescomplemented
212#125×D73C2211yescharacteristic, complemented
213C2×#14556578C2212yescomplemented
214#124×D73C2211yescharacteristic, complemented
215#17989098C2212yescomplemented
216#17989097C2212yescomplemented
217#17989097C2212yescomplemented
218#17989097C2212yescomplemented
219#17989097C2212yescomplemented
220#17989094C2212yescomplemented
221#17989093C2214yescomplemented
222#17989093C2214yescomplemented
223#17989093C2214yescomplemented
224#17989093C2214yescomplemented
225C2×#14556572C2214yescomplemented
226#123×D73C2212yescomplemented
227C2×#14556570C2212yescomplemented
228C22⋊Q8×D73C2211yescharacteristic, complemented
229#121×D73C2211yescharacteristic
230#17989066C2212yescomplemented
231#17989066C2212yescomplemented
232#17989066C2214yescomplemented
233#17989066C2212yescomplemented
234#17989066C2214yescomplemented
235#17989066C2212yescomplemented
236#17989064C2212yescomplemented
237#17989064C2212yescomplemented
238#17989062C2212yescomplemented
239#17989060C2214yescomplemented
240#17989060C2214yescomplemented
241#41×Dic73C2212yescomplemented
242#41×Dic73C2212yescomplemented
243#17989055C2212yescomplemented
244C4×#11924027C2211yescharacteristic
245C4×#11924027C2212yes—
246C4×#11924027C2211yescharacteristic
247C4×#11924027C2211yescharacteristic, complemented
248C4×#11924027C2212yescomplemented
249C4×#11924027C2214yescomplemented
250C4×#11924027C2211yescharacteristic, complemented
251C4×#11924027C2212yescomplemented
252C4×#11924027C2214yescomplemented
253C4×#11924027C2212yescomplemented
254C4×#11924027C2212yescomplemented
255C4×#11924027C2214yescomplemented
256C4×#11924027C2211yescharacteristic, complemented
257C4×#11924027C2212yescomplemented
258C4×#11924027C2211yescharacteristic, complemented
259C4×#11924027C2212yescomplemented
260C4×#11924027C2211yescharacteristic, complemented
261C4×#11924027C2211yescharacteristic, complemented
262C4×#11924027C2212yescomplemented
263C2×C4×Dic146C2211yescharacteristic, complemented
264C2×#14556556C2212yescomplemented
265C2×#14556556C2211yescharacteristic, complemented
266C4×Q8×D73C2211yescharacteristic, complemented
267C2×D4×Dic73C2211yescharacteristic, complemented
268C2×D4×Dic73C2214yescomplemented
269C2×D4×Dic73C2212yescomplemented
270C2×C4×C22⋊D73C2212yescomplemented
271C2×#14556551C2212yescomplemented
272C4×D4×D73C2211yescharacteristic, complemented
273C4×D4×D73C2212yescomplemented
274C2×#14556549C2211yescharacteristic, complemented
275C2×#14556547C2214yescomplemented
276C2×#14556547C2212yescomplemented
277C2×#14556547C2214yescomplemented
278#117×D73C2212yescomplemented
279#117×D73C2212yescomplemented
280C22×C4×Dic73C2212yescomplemented
281C2×C42×D73C2211yescharacteristic, complemented
282#555×C73C2211yescharacteristic, complemented
283#554×C73C2211yescharacteristic, complemented
284#553×C73C2212yescomplemented
285#553×C73C2212yescomplemented
286#550×C73C2211yescharacteristic, complemented
287#546×C73C2214yescomplemented
288#546×C73C2212yescomplemented
289D42×C73C2212yescomplemented
290D42×C73C2211yescharacteristic, complemented
291#540×C73C2212yescomplemented
292#538×C73C2214yescomplemented
293#532×C73C2211yescharacteristic, complemented
294#529×C73C2211yescharacteristic
295#525×C73C2212yescomplemented
296C2×#121×C73C2212yes—
297#518×C73C2212yescomplemented
298C2×C4×D4×C73C2211yescharacteristic, complemented
299C2×#11924028C2312yes—
300C2×#11924027—28no—
301C2×#11924027—216no—
302C2×#11924027C2312yes—
303C2×#11924027C2314yes—
304C2×#11924027C2311yescharacteristic
305C2×#11924027C2312yes—
306C2×#11924027C2312yes—
307C2×#11924027C2314yes—
308C2×#11924027C2311yescharacteristic
309C2×#11924027C2312yes—
310C2×#11924027C2311yescharacteristic
311C2×#11924027C2312yes—
312C2×#11924027C2314yes—
313C2×#11924027C2312yes—
314C2×#11924027C2311yescharacteristic
315C22×Dic146C2311yescharacteristic
316C22×Dic146C2312yes—
317C22×Dic146C2312yes—
318C2×Q8×D73C2311yescharacteristic
319C22×C22⋊D73C2312yes—
320C22×C22⋊D73C2314yes—
321C2×D4×D73C2312yes—
322C2×D4×D73C2311yescharacteristic
323C23×Dic73C2312yes—
324C23×Dic73C2314yes—
325C23×Dic73C2312yes—
326C22×C4×D73C2311yescharacteristic
327C22×C4×D73C2312yes—
328C22×C4×D73C2311yescharacteristic
329C22×C4×D73C2311yescharacteristic
330#14556591C2311yescharacteristic
331#14556591C2311yescharacteristic
332#14556591C2312yes—
333#14556590C2312yes—
334#14556590C2312yes—
335#14556590C2314yes—
336#14556590C2314yes—
337#14556590C2312yes—
338#14556590C2312yes—
339#14556589C2312yes—
340#14556589C2314yes—
341#14556587C2312yes—
342#14556587C2314yes—
343#14556586C2312yes—
344#14556586C2314yes—
345#14556586C2312yes—
346#14556586C2312yes—
347#14556586C2314yes—
348#14556586C2314yes—
349#14556585C2312yes—
350#14556585C2314yes—
351#14556584C2314yes—
352#14556584C2314yes—
353#14556584C2314yes—
354#14556584C2314yes—
355#14556584C2314yes—
356#14556584C2314yes—
357#14556584C2314yes—
358#14556584C2314yes—
359#14556584C2314yes—
360#14556584C2314yes—
361#14556584C2314yes—
362#14556584C2314yes—
363#14556584C2314yes—
364#14556584C2314yes—
365#14556584C2312yes—
366#14556584C2312yes—
367#14556584C2314yes—
368#14556584C2314yes—
369#14556584C2312yes—
370#14556584C2314yes—
371#14556583C2311yescharacteristic
372#14556583C2312yes—
373#14556583C2312yes—
374#14556583C2314yes—
375#14556582C2311yescharacteristic
376#14556582C2312yes—
377#14556582C2311yescharacteristic
378#14556582C2312yes—
379#14556582C2314yes—
380#14556582C2314yes—
381#14556582C2314yes—
382#14556582C2314yes—
383#14556582C2312yes—
384#14556582C2312yes—
385#14556581C2312yes—
386#14556581C2314yes—
387#14556581C2314yes—
388#14556581C2314yes—
389#14556581C2314yes—
390#14556581C2314yes—
391#14556581C2314yes—
392#14556581C2314yes—
393#14556581C2312yes—
394#14556580C2311yescharacteristic
395#14556579C2311yescharacteristic
396#14556578C2312yes—
397#14556578C2312yes—
398#14556578C2312yes—
399#14556578C2312yes—
400#14556578C2314yes—
401#14556578C2314yes—
402#14556578C2314yes—
403#14556578C2312yes—
404#14556578C2312yes—
405#14556578C2314yes—
406#14556578C2311yescharacteristic
407#14556577C2312yes—
408#14556577C2314yes—
409#14556577C2314yes—
410#14556577C2314yes—
411#14556577C2314yes—
412#14556577C2314yes—
413#14556577C2314yes—
414#14556577C2314yes—
415#14556577C2312yes—
416#14556576C2312yes—
417#14556576C2314yes—
418#14556576C2312yes—
419#14556575C2314yes—
420#14556575C2312yes—
421#14556575C2314yes—
422#14556575C2314yes—
423#14556574C2312yes—
424#14556574C2314yes—
425#14556574C2314yes—
426#14556574C2314yes—
427#14556573C2312yes—
428#14556573C2314yes—
429#14556573C2314yes—
430#14556573C2314yes—
431#14556573C2314yes—
432#14556573C2314yes—
433#14556573C2314yes—
434#14556573C2314yes—
435#14556573C2312yes—
436#14556572C2314yes—
437#14556572C2314yes—
438#14556572C2314yes—
439#14556572C2314yes—
440#14556572C2314yes—
441#14556572C2314yes—
442#14556572C2314yes—
443#14556572C2314yes—
444#14556572C2314yes—
445#14556572C2314yes—
446#14556572C2314yes—
447#14556572C2314yes—
448#14556572C2314yes—
449#14556572C2312yes—
450#14556572C2314yes—
451#14556571C2311yescharacteristic
452#14556571C2312yes—
453#14556571C2312yes—
454#14556571C2312yes—
455#14556571C2312yes—
456#14556570C2311yescharacteristic
457#14556570C2312yes—
458#14556570C2314yes—
459#14556570C2312yes—
460#14556570C2312yes—
461#14556570C2314yes—
462#14556570C2314yes—
463#14556570C2314yes—
464#14556570C2312yes—
465#14556570C2312yes—
466#14556570C2312yes—
467#14556570C2312yes—
468#14556570C2314yes—
469#14556569C2312yes—
470#14556569C2314yes—
471#14556569C2314yes—
472#14556569C2314yes—
473#14556568C2314yes—
474#14556568C2314yes—
475#14556568C2314yes—
476#14556568C2314yes—
477#14556568C2314yes—
478#14556568C2314yes—
479#14556568C2314yes—
480#14556568C2314yes—
481#14556568C2314yes—
482#14556568C2314yes—
483#14556568C2314yes—
484#14556568C2314yes—
485#14556568C2312yes—
486#14556567C2311yescharacteristic
487#14556567C2312yes—
488#14556567C2312yes—
489#14556567C2314yes—
490#14556566C2311yescharacteristic
491#14556565C2311yescharacteristic
492#14556565C2312yes—
493#14556565C2314yes—
494#14556564C2312yes—
495#14556564C2314yes—
496#14556563C2314yes—
497#14556563C2314yes—
498#14556563C2314yes—
499#14556563C2314yes—
500#14556563C2314yes—
501#14556563C2314yes—
502#14556563C2314yes—
503#14556563C2314yes—
504#14556563C2314yes—
505#14556563C2314yes—
506#14556563C2314yes—
507#14556563C2314yes—
508#14556563C2312yes—
509#14556562C2314yes—
510#14556562C2314yes—
511#14556562C2312yes—
512#14556562C2312yes—
513#14556562C2312yes—
514#14556562C2312yes—
515#14556562C2314yes—
516#14556562C2312yes—
517#14556562C2312yes—
518#14556562C2311yescharacteristic
519#14556560C2314yes—
520#14556560C2314yes—
521#14556560C2314yes—
522#14556559C2314yes—
523#14556559C2314yes—
524#14556559C2314yes—
525Q8×Dic73C2311yescharacteristic
526Q8×Dic73C2312yes—
527Q8×Dic73C2312yes—
528Q8×Dic73C2312yes—
529C4×Dic146C2311yescharacteristic
530C4×Dic146C2314yes—
531C4×Dic146C2314yes—
532C4×Dic146C2312yes—
533C4×Dic146C2312yes—
534C4×Dic146C2312yes—
535C4×Dic146C2311yescharacteristic
536C4×Dic146C2311yescharacteristic
537C4×Dic146C2312yes—
538C4×Dic146C2312yes—
539C4×Dic146C2314yes—
540C4×Dic146C2312yes—
541C4×Dic146C2312yes—
542C4×Dic146C2311yescharacteristic
543C4×Dic146C2311yescharacteristic
544#14556556C2312yes—
545#14556556C2314yes—
546#14556556C2311yescharacteristic
547#14556556C2314yes—
548#14556556C2312yes—
549#14556556C2314yes—
550#14556556C2312yes—
551#14556556C2312yes—
552#14556556C2312yes—
553#14556556C2311yescharacteristic
554#14556556C2311yescharacteristic
555#14556556C2312yes—
556#14556556C2312yes—
557#14556556C2312yes—
558#14556556C2312yes—
559#14556556C2314yes—
560#14556556C2311yescharacteristic
561#14556556C2314yes—
562#14556556C2312yes—
563#14556556C2311yescharacteristic
564C4×D292C2311yescharacteristic
565C4×D292C2312yes—
566D4×Dic73C2312yes—
567D4×Dic73C2314yes—
568D4×Dic73C2312yes—
569D4×Dic73C2312yes—
570D4×Dic73C2312yes—
571D4×Dic73C2314yes—
572D4×Dic73C2312yes—
573D4×Dic73C2312yes—
574D4×Dic73C2314yes—
575D4×Dic73C2311yescharacteristic
576D4×Dic73C2314yes—
577D4×Dic73C2312yes—
578D4×Dic73C2314yes—
579D4×Dic73C2314yes—
580D4×Dic73C2314yes—
581D4×Dic73C2312yes—
582D4×Dic73C2311yescharacteristic
583D4×Dic73C2314yes—
584D4×Dic73C2312yes—
585D4×Dic73C2314yes—
586D4×Dic73C2312yes—
587D4×Dic73C2314yes—
588D4×Dic73C2312yes—
589D4×Dic73C2314yes—
590D4×Dic73C2311yescharacteristic
591D4×Dic73C2312yes—
592D4×Dic73C2311yescharacteristic
593D4×Dic73C2311yescharacteristic
594D4×Dic73C2314yes—
595D4×Dic73C2314yes—
596D4×Dic73C2314yes—
597#14556553C2312yes—
598#14556553C2311yescharacteristic
599#14556553C2312yes—
600C4×C22⋊D73C2312yes—
601C4×C22⋊D73C2314yes—
602C4×C22⋊D73C2314yes—
603C4×C22⋊D73C2312yes—
604C4×C22⋊D73C2314yes—
605C4×C22⋊D73C2312yes—
606C4×C22⋊D73C2314yes—
607C4×C22⋊D73C2312yes—
608C4×C22⋊D73C2312yes—
609C4×C22⋊D73C2314yes—
610C4×C22⋊D73C2314yes—
611C4×C22⋊D73C2312yes—
612C4×C22⋊D73C2312yes—
613C4×C22⋊D73C2312yes—
614C4×C22⋊D73C2314yes—
615C4×C22⋊D73C2312yes—
616C4×C22⋊D73C2312yes—
617C4×C22⋊D73C2314yes—
618C4×C22⋊D73C2314yes—
619C4×C22⋊D73C2314yes—
620C4×C22⋊D73C2312yes—
621#14556551C2314yes—
622#14556551C2314yes—
623#14556551C2312yes—
624#14556551C2312yes—
625#14556551C2314yes—
626#14556551C2312yes—
627#14556551C2314yes—
628#14556551C2314yes—
629#14556551C2312yes—
630#14556551C2314yes—
631#14556551C2312yes—
632#14556551C2312yes—
633#14556551C2314yes—
634#14556551C2312yes—
635#14556551C2314yes—
636#14556551C2314yes—
637#14556551C2314yes—
638#14556551C2312yes—
639#14556551C2312yes—
640#14556551C2314yes—
641#14556551C2312yes—
642#14556551C2312yes—
643#14556550C2312yes—
644#14556550C2312yes—
645#14556550C2312yes—
646#14556550C2314yes—
647#14556550C2314yes—
648#14556550C2312yes—
649#14556549C2312yes—
650#14556549C2312yes—
651#14556549C2312yes—
652#14556549C2314yes—
653#14556549C2312yes—
654#14556549C2312yes—
655#14556549C2311yescharacteristic
656#14556549C2312yes—
657#14556549C2311yescharacteristic
658#14556549C2311yescharacteristic
659#14556549C2311yescharacteristic
660#14556548C2312yes—
661#14556548C2312yes—
662#14556548C2314yes—
663#14556548C2314yes—
664#14556547C2312yes—
665#14556547C2314yes—
666#14556547C2312yes—
667#14556547C2314yes—
668#14556547C2314yes—
669#14556547C2314yes—
670#14556547C2314yes—
671#14556547C2314yes—
672#14556547C2314yes—
673#14556547C2312yes—
674#14556547C2314yes—
675#14556547C2312yes—
676#14556547C2314yes—
677#14556547C2314yes—
678#14556547C2314yes—
679#14556547C2312yes—
680#14556547C2314yes—
681#14556547C2314yes—
682#14556547C2312yes—
683#14556547C2314yes—
684#14556547C2312yes—
685#14556547C2312yes—
686#14556547C2312yes—
687#14556547C2314yes—
688#14556547C2312yes—
689C2×C4⋊Dic73C2311yescharacteristic
690C2×C4⋊Dic73C2312yes—
691C2×C4⋊Dic73C2314yes—
692C2×#11924007C2314yes—
693C2×#11924007C2314yes—
694C2×#11924007C2312yes—
695C2×#11924007C2314yes—
696C2×#11924007C2314yes—
697C2×#11924007C2312yes—
698C2×#11924007C2314yes—
699C4⋊C4×D73C2312yes—
700C4⋊C4×D73C2312yes—
701C4⋊C4×D73C2312yes—
702C4⋊C4×D73C2311yescharacteristic
703C4⋊C4×D73C2312yes—
704C4⋊C4×D73C2312yes—
705C4⋊C4×D73C2312yes—
706C4⋊C4×D73C2311yescharacteristic
707C2×C22⋊Dic73C2314yes—
708C2×C22⋊Dic73C2314yes—
709C2×C22⋊Dic73C2314yes—
710C2×C22⋊Dic73C2314yes—
711C2×C22⋊Dic73C2312yes—
712C2×C22⋊Dic73C2314yes—
713C2×#11924005C2312yes—
714C22⋊C4×D73C2312yes—
715C22⋊C4×D73C2312yes—
716C22⋊C4×D73C2312yes—
717C22⋊C4×D73C2312yes—
718C22⋊C4×D73C2312yes—
719C22⋊C4×D73C2314yes—
720C2×C4×Dic73C2311yescharacteristic
721C2×C4×Dic73C2312yes—
722C2×C4×Dic73C2312yes—
723C2×C4×Dic73C2312yes—
724C2×C4×Dic73C2314yes—
725C2×C4×Dic73C2312yes—
726C2×C4×Dic73C2311yescharacteristic
727C2×C4×Dic73C2311yescharacteristic
728C2×C4×Dic73C2312yes—
729C2×C4×Dic73C2312yes—
730C2×C4×Dic73C2312yes—
731C2×C4×Dic73C2312yes—
732C2×C4×Dic73C2312yes—
733C2×C4×Dic73C2312yes—
734C2×C4×Dic73C2312yes—
735C2×C4×Dic73C2314yes—
736C2×C4×Dic73C2314yes—
737C42×D73C2311yescharacteristic
738C42×D73C2314yes—
739C42×D73C2311yescharacteristic
740C42×D73C2311yescharacteristic
741C42×D73C2311yescharacteristic
742C42×D73C2312yes—
743C42×D73C2311yescharacteristic
744C42×D73C2311yescharacteristic
745C42×D73C2311yescharacteristic
746C42×D73C2311yescharacteristic
747C2×#41×C73C2312yes—
748C2×#41×C73C2312yes—
749C22×D4×C73C2311yescharacteristic
750C22×D4×C73C2312yes—
751C22×D4×C73C2314yes—
752C22×D4×C73C2312yes—
753C23×C4×C73C2312yes—
754C4⋊Q8×C73C2311yescharacteristic
755#127×C73C2311yescharacteristic
756#127×C73C2312yes—
757#126×C73C2312yes—
758#126×C73C2314yes—
759#125×C73C2311yescharacteristic
760#125×C73C2312yes—
761#124×C73C2312yes—
762#124×C73C2314yes—
763#124×C73C2311yescharacteristic
764#123×C73C2314yes—
765#123×C73C2314yes—
766#123×C73C2314yes—
767#123×C73C2312yes—
768C22⋊Q8×C73C2311yescharacteristic
769C22⋊Q8×C73C2312yes—
770C22⋊Q8×C73C2314yes—
771#121×C73C2314yes—
772#121×C73C2312yes—
773#121×C73C2312yes—
774#121×C73C2314yes—
775#121×C73C2314yes—
776#121×C73C2314yes—
777#121×C73C2312yes—
778#121×C73C2312yes—
779#121×C73C2314yes—
780#121×C73C2312yes—
781#121×C73C2312yes—
782#121×C73C2312yes—
783#121×C73C2311yescharacteristic
784#120×C73C2314yes—
785#120×C73C2314yes—
786#120×C73C2314yes—
787C4×Q8×C73C2311yescharacteristic
788C4×D4×C73C2312yes—
789C4×D4×C73C2314yes—
790C4×D4×C73C2311yescharacteristic
791C4×D4×C73C2312yes—
792C4×D4×C73C2311yescharacteristic
793C4×D4×C73C2312yes—
794C4×D4×C73C2311yescharacteristic
795C4×D4×C73C2312yes—
796C4×D4×C73C2312yes—
797C4×D4×C73C2311yescharacteristic
798C4×D4×C73C2311yescharacteristic
799C4×D4×C73C2314yes—
800C4×D4×C73C2312yes—
801C4×D4×C73C2314yes—
802C4×D4×C73C2312yes—
803#117×C73C2312yes—
804#117×C73C2312yes—
805#117×C73C2312yes—
806C2×C4⋊C4×C73C2311yescharacteristic
807C2×C4⋊C4×C73C2312yes—
808C2×C22⋊C4×C73C2314yes—
809C2×C22⋊C4×C73C2312yes—
810C2×C22⋊C4×C73C2314yes—
811C2×C42×C73C2311yescharacteristic
812C23×D73C2411yescharacteristic
813C23×D73C2412yes—
814#11924028—44no—
815#11924027—24no—
816#11924027—28no—
817#11924027—28no—
818#11924027—216no—
819#11924027—28no—
820#11924027—216no—
821#11924027—24no—
822#11924027—28no—
823#11924027—24no—
824#11924027—28no—
825#11924027—44no—
826#11924027—48no—
827#11924027#4118yescomplemented
828C2×Dic146—24no—
829C2×Dic146—28no—
830C2×Dic146—44no—
831C2×Dic146C2411yescharacteristic
832C2×Dic146C2412yes—
833C2×Dic146C2414yes—
834C2×Dic146C2412yes—
835C2×Dic146C2412yes—
836C2×Dic146C2411yescharacteristic
837C2×Dic146C2414yes—
838C2×Dic146C2412yes—
839C2×Dic146C2414yes—
840C2×Dic146C2411yescharacteristic
841Q8×D73—42no—
842C2×D292C2411yescharacteristic
843C2×D292C2412yes—
844C2×C22⋊D73—28no—
845C2×C22⋊D73—216no—
846C2×C22⋊D73C2412yes—
847C2×C22⋊D73C2414yes—
848C2×C22⋊D73C2414yes—
849C2×C22⋊D73C2412yes—
850C2×C22⋊D73C2414yes—
851C2×C22⋊D73C2412yes—
852C2×C22⋊D73C2412yes—
853C2×C22⋊D73C2414yes—
854C2×C22⋊D73C2414yes—
855C2×C22⋊D73C2414yes—
856C2×C22⋊D73C2412yes—
857C2×C22⋊D73C2412yes—
858C2×C22⋊D73C2412yes—
859D4×D73—42no—
860D4×D73—44no—
861C22×Dic73—28no—
862C22×Dic73—216no—
863C22×Dic73—44no—
864C22×Dic73C2411yescharacteristic
865C22×Dic73C2411yescharacteristic
866C22×Dic73C2412yes—
867C22×Dic73C2412yes—
868C22×Dic73C2412yes—
869C22×Dic73C2412yes—
870C22×Dic73C2414yes—
871C22×Dic73C2412yes—
872C22×Dic73C2414yes—
873C22×Dic73C2414yes—
874C22×Dic73C2412yes—
875C22×Dic73C2414yes—
876C22×Dic73C2412yes—
877C22×Dic73C2412yes—
878C22×Dic73C2411yescharacteristic
879C22×Dic73C2412yes—
880C22×Dic73C2412yes—
881C22×Dic73C2414yes—
882C22×Dic73C2414yes—
883C22×Dic73C2414yes—
884C22×Dic73C2412yes—
885C2×C4×D73—24no—
886C2×C4×D73—28no—
887C2×C4×D73—42no—
888C2×C4×D73—42no—
889C2×C4×D73C2411yescharacteristic
890C2×C4×D73C2411yescharacteristic
891C2×C4×D73C2411yescharacteristic
892C2×C4×D73C2412yes—
893C2×C4×D73C2411yescharacteristic
894C2×C4×D73C2411yescharacteristic
895C2×C4×D73C2412yes—
896C2×C4×D73C2412yes—
897C2×C4×D73C2411yescharacteristic
898C2×C4×D73C2411yescharacteristic
899C2×C4×D73C2411yescharacteristic
900C2×C4×D73C2411yescharacteristic
901C2×C4×D73C2411yescharacteristic
902C2×C4×D73C2411yescharacteristic
903C2×C4×D73C2412yes—
904C2×C4×D73C2412yes—
905C2×C4×D73C2414yes—
906C2×C4×D73C2414yes—
907C2×C4×D73C2411yescharacteristic
908C4⋊Dic73C2411yescharacteristic
909C4⋊Dic73C2411yescharacteristic
910C4⋊Dic73C2412yes—
911C4⋊Dic73C2412yes—
912C4⋊Dic73C2412yes—
913C4⋊Dic73C2412yes—
914C4⋊Dic73C2411yescharacteristic
915C4⋊Dic73C2412yes—
916C4⋊Dic73C2411yescharacteristic
917C4⋊Dic73C2412yes—
918C4⋊Dic73C2412yes—
919C4⋊Dic73C2414yes—
920C4⋊Dic73C2414yes—
921C4⋊Dic73C2414yes—
922C4⋊Dic73C2414yes—
923C4⋊Dic73C2412yes—
924C4⋊Dic73C2412yes—
925C4⋊Dic73C2414yes—
926C4⋊Dic73C2414yes—
927#11924007C2412yes—
928#11924007C2414yes—
929#11924007C2412yes—
930#11924007C2412yes—
931#11924007C2414yes—
932#11924007C2412yes—
933#11924007C2412yes—
934#11924007C2412yes—
935#11924007C2412yes—
936#11924007C2412yes—
937#11924007C2412yes—
938#11924007C2412yes—
939#11924007C2412yes—
940#11924007C2412yes—
941#11924007C2412yes—
942#11924007C2412yes—
943#11924007C2412yes—
944#11924007C2414yes—
945#11924007C2414yes—
946#11924007C2414yes—
947#11924007C2414yes—
948#11924007C2414yes—
949#11924007C2414yes—
950#11924007C2412yes—
951#11924007C2412yes—
952#11924007C2412yes—
953#11924007C2414yes—
954#11924007C2414yes—
955#11924007C2414yes—
956#11924007C2414yes—
957#11924007C2414yes—
958#11924007C2414yes—
959#11924007C2414yes—
960#11924007C2414yes—
961C22⋊Dic73C2412yes—
962C22⋊Dic73C2414yes—
963C22⋊Dic73C2412yes—
964C22⋊Dic73C2412yes—
965C22⋊Dic73C2412yes—
966C22⋊Dic73C2412yes—
967C22⋊Dic73C2412yes—
968C22⋊Dic73C2412yes—
969C22⋊Dic73C2414yes—
970C22⋊Dic73C2412yes—
971C22⋊Dic73C2414yes—
972C22⋊Dic73C2412yes—
973C22⋊Dic73C2414yes—
974C22⋊Dic73C2414yes—
975C22⋊Dic73C2414yes—
976C22⋊Dic73C2414yes—
977C22⋊Dic73C2414yes—
978C22⋊Dic73C2414yes—
979C22⋊Dic73C2414yes—
980C22⋊Dic73C2414yes—
981C22⋊Dic73C2414yes—
982C22⋊Dic73C2414yes—
983C22⋊Dic73C2414yes—
984C22⋊Dic73C2414yes—
985C22⋊Dic73C2414yes—
986#11924005C2412yes—
987#11924005C2412yes—
988#11924005C2414yes—
989#11924005C2412yes—
990#11924005C2412yes—
991#11924005C2412yes—
992#11924005C2412yes—
993#11924005C2412yes—
994#11924005C2412yes—
995#11924005C2412yes—
996#11924005C2412yes—
997#11924005C2412yes—
998#11924005C2412yes—
999#11924005C2412yes—
1000#11924005C2412yes—
1001#11924005C2414yes—
1002#11924005C2414yes—
1003#11924005C2414yes—
1004C4×Dic73C2411yescharacteristic
1005C4×Dic73C2412yes—
1006C4×Dic73C2411yescharacteristic
1007C4×Dic73C2411yescharacteristic
1008C4×Dic73C2411yescharacteristic
1009C4×Dic73C2411yescharacteristic
1010C4×Dic73C2411yescharacteristic
1011C4×Dic73C2411yescharacteristic
1012C4×Dic73C2411yescharacteristic
1013C4×Dic73C2411yescharacteristic
1014C4×Dic73C2411yescharacteristic
1015C4×Dic73C2411yescharacteristic
1016C4×Dic73C2411yescharacteristic
1017C4×Dic73C2414yes—
1018C4×Dic73C2412yes—
1019C4×Dic73C2412yes—
1020C4×Dic73C2414yes—
1021C4×Dic73C2412yes—
1022C4×Dic73C2412yes—
1023C4×Dic73C2412yes—
1024C4×Dic73C2412yes—
1025C4×Dic73C2412yes—
1026C4×Dic73C2412yes—
1027C4×Dic73C2412yes—
1028C4×Dic73C2412yes—
1029C4×Dic73C2412yes—
1030C4×Dic73C2412yes—
1031C4×Dic73C2412yes—
1032C4×Dic73C2412yes—
1033C4×Dic73C2414yes—
1034C4×Dic73C2414yes—
1035C4×Dic73C2414yes—
1036C4×Dic73C2414yes—
1037C4×Dic73C2414yes—
1038C4×Dic73C2414yes—
1039C24×C73C2412yes—
1040C24×C73C2414yes—
1041#41×C73—44no—
1042#41×C73—44no—
1043C2×Q8×C73C2411yescharacteristic
1044C2×Q8×C73C2412yes—
1045C2×D4×C73—24no—
1046C2×D4×C73—28no—
1047C2×D4×C73—44no—
1048C2×D4×C73—48no—
1049C2×D4×C73C2412yes—
1050C2×D4×C73C2414yes—
1051C2×D4×C73C2411yescharacteristic
1052C2×D4×C73C2412yes—
1053C2×D4×C73C2414yes—
1054C2×D4×C73C2412yes—
1055C2×D4×C73C2411yescharacteristic
1056C2×D4×C73C2412yes—
1057C2×D4×C73C2414yes—
1058C2×D4×C73C2412yes—
1059C2×D4×C73C2414yes—
1060C2×D4×C73C2414yes—
1061C2×D4×C73C2414yes—
1062C2×D4×C73C2411yescharacteristic
1063C22×C4×C73—44no—
1064C22×C4×C73C2411yescharacteristic
1065C22×C4×C73C2411yescharacteristic
1066C22×C4×C73C2411yescharacteristic
1067C22×C4×C73C2412yes—
1068C22×C4×C73C2412yes—
1069C22×C4×C73C2412yes—
1070C22×C4×C73C2412yes—
1071C22×C4×C73C2412yes—
1072C22×C4×C73C2414yes—
1073C22×C4×C73C2414yes—
1074C22×C4×C73C2414yes—
1075C22×C4×C73C2412yes—
1076C4⋊C4×C73C2411yescharacteristic
1077C4⋊C4×C73C2411yescharacteristic
1078C4⋊C4×C73C2412yes—
1079C4⋊C4×C73C2411yescharacteristic
1080C4⋊C4×C73C2412yes—
1081C4⋊C4×C73C2414yes—
1082C4⋊C4×C73C2411yescharacteristic
1083C4⋊C4×C73C2412yes—
1084C4⋊C4×C73C2412yes—
1085C4⋊C4×C73C2412yes—
1086C4⋊C4×C73C2412yes—
1087C4⋊C4×C73C2414yes—
1088C4⋊C4×C73C2412yes—
1089C22⋊C4×C73C2412yes—
1090C22⋊C4×C73C2412yes—
1091C22⋊C4×C73C2414yes—
1092C22⋊C4×C73C2412yes—
1093C22⋊C4×C73C2412yes—
1094C22⋊C4×C73C2414yes—
1095C22⋊C4×C73C2414yes—
1096C22⋊C4×C73C2412yes—
1097C22⋊C4×C73C2414yes—
1098C22⋊C4×C73C2412yes—
1099C22⋊C4×C73C2414yes—
1100C22⋊C4×C73C2412yes—
1101C22⋊C4×C73C2412yes—
1102C22⋊C4×C73C2412yes—
1103C22⋊C4×C73C2414yes—
1104C22⋊C4×C73C2414yes—
1105C42×C73C2411yescharacteristic
1106C42×C73C2411yescharacteristic
1107C42×C73C2411yescharacteristic
1108C42×C73C2411yescharacteristic
1109C42×C73C2414yes—
1110C42×C73C2412yes—
1111C23×C73—24no—
1112C23×C73—24no—
1113C23×C73—28no—
1114C23×C73—42no—
1115C23×C73—44no—
1116C23×C73—44no—
1117C23×C73C2512yes—
1118C23×C73C2512yes—
1119C23×C73C2514yes—
1120C23×C73C2512yes—
1121C23×C73C2511yescharacteristic
1122C22×D73—22no—
1123C22×D73—22no—
1124C22×D73—24no—
1125C22×D73—41no—
1126C22×D73—42no—
1127C22×D73—42no—
1128C22×D73C2511yescharacteristic
1129C22×D73C2512yes—
1130C22×D73C2511yescharacteristic
1131Q8×C73—22no—
1132Q8×C73—42no—
1133D4×C73—24no—
1134D4×C73—28no—
1135D4×C73—24no—
1136D4×C73—28no—
1137D4×C73—22no—
1138D4×C73—24no—
1139D4×C73—22no—
1140D4×C73—24no—
1141D4×C73—44no—
1142D4×C73—44no—
1143D4×C73—44no—
1144D4×C73—44no—
1145D4×C73—42no—
1146D4×C73C2×#4114yes—
1147C2×C4×C73—22no—
1148C2×C4×C73—22no—
1149C2×C4×C73—24no—
1150C2×C4×C73—22no—
1151C2×C4×C73—24no—
1152C2×C4×C73—24no—
1153C2×C4×C73—42no—
1154C2×C4×C73—42no—
1155C2×C4×C73—42no—
1156C2×C4×C73—44no—
1157C2×C4×C73—44no—
1158C2×C4×C73—44no—
1159C2×C4×C73C2511yescharacteristic
1160C2×C4×C73C2512yes—
1161C2×C4×C73C2511yescharacteristic
1162C2×C4×C73C2511yescharacteristic
1163C2×C4×C73C2512yes—
1164C2×C4×C73C2511yescharacteristic
1165C2×C4×C73C2514yes—
1166C2×C4×C73C2512yes—
1167C2×C4×C73C2512yes—
1168C2×C4×C73C2512yes—
1169C2×C4×C73C2511yescharacteristic
1170C2×C4×C73C2511yescharacteristic
1171C22⋊D73—24no—
1172C22⋊D73—28no—
1173C22⋊D73—24no—
1174C22⋊D73—24no—
1175C22⋊D73—28no—
1176C22⋊D73—24no—
1177C22⋊D73—28no—
1178C22⋊D73—42no—
1179C22⋊D73—42no—
1180C22⋊D73—44no—
1181C22⋊D73—44no—
1182C22⋊D73—44no—
1183C22⋊D73C2×#4118yes—
1184C2×Dic73—24no—
1185C2×Dic73—28no—
1186C2×Dic73—22no—
1187C2×Dic73—24no—
1188C2×Dic73—22no—
1189C2×Dic73—24no—
1190C2×Dic73—24no—
1191C2×Dic73—28no—
1192C2×Dic73—24no—
1193C2×Dic73—28no—
1194C2×Dic73—24no—
1195C2×Dic73—28no—
1196C2×Dic73—41no—
1197C2×Dic73—42no—
1198C2×Dic73—42no—
1199C2×Dic73—42no—
1200C2×Dic73—42no—
1201C2×Dic73—44no—
1202C2×Dic73—44no—
1203C2×Dic73—44no—
1204C2×Dic73C2×#4118yes—
1205C2×Dic73C2511yescharacteristic
1206C2×Dic73C2511yescharacteristic
1207C2×Dic73C2512yes—
1208C2×Dic73C2511yescharacteristic
1209C2×Dic73C2511yescharacteristic
1210C2×Dic73C2512yes—
1211C2×Dic73C2512yes—
1212C2×Dic73C2512yes—
1213C2×Dic73C2514yes—
1214C2×Dic73C2514yes—
1215C2×Dic73C2512yes—
1216C2×Dic73C2511yescharacteristic
1217C2×Dic73C2512yes—
1218C2×Dic73C2511yescharacteristic
1219C2×Dic73C2512yes—
1220D292—22no—
1221D292—42no—
1222C4×D73—22no—
1223C4×D73—24no—
1224C4×D73—22no—
1225C4×D73—24no—
1226C4×D73—22no—
1227C4×D73—22no—
1228C4×D73—22no—
1229C4×D73—24no—
1230C4×D73—41no—
1231C4×D73—41no—
1232C4×D73—41no—
1233C4×D73—41no—
1234C4×D73—41no—
1235C4×D73—41no—
1236C4×D73—42no—
1237C4×D73—42no—
1238C4×D73—44no—
1239C4×D73—44no—
1240C4×D73C2×#4114yes—
1241Dic146—22no—
1242Dic146—24no—
1243Dic146—22no—
1244Dic146—24no—
1245Dic146—24no—
1246Dic146—28no—
1247Dic146—42no—
1248Dic146—44no—
1249Dic146—44no—
1250Dic146C2×#4114yes—
1251C22×C73—21no—
1252C22×C73—22no—
1253C22×C73—22no—
1254C22×C73—21no—
1255C22×C73—22no—
1256C22×C73—22no—
1257C22×C73—24no—
1258C22×C73—22no—
1259C22×C73—24no—
1260C22×C73—24no—
1261C22×C73—22no—
1262C22×C73—22no—
1263C22×C73—22no—
1264C22×C73—48no—
1265C22×C73—88no—
1266C22×C73C22×#4114yes—
1267C22×C73#58512yes—
1268C22×C73C2611yescharacteristic
1269C2×D73—21no—
1270C2×D73—21no—
1271C2×D73—21no—
1272C2×D73—22no—
1273C2×D73—21no—
1274C2×D73—22no—
1275C2×D73—21no—
1276C2×D73—22no—
1277C2×D73—44no—
1278C2×D73—84no—
1279C2×D73C22×#4112yes—
1280C4×C73—21no—
1281C4×C73—22no—
1282C4×C73—22no—
1283C4×C73—24no—
1284C4×C73—22no—
1285C4×C73—21no—
1286C4×C73—21no—
1287C4×C73—22no—
1288C4×C73—21no—
1289C4×C73—22no—
1290C4×C73C22×#4112yes—
1291C4×C73#58512yes—
1292Dic73—22no—
1293Dic73—24no—
1294Dic73—21no—
1295Dic73—22no—
1296Dic73—22no—
1297Dic73—24no—
1298Dic73—21no—
1299Dic73—22no—
1300Dic73—22no—
1301Dic73—21no—
1302Dic73—21no—
1303Dic73—21no—
1304Dic73—22no—
1305Dic73C22×#4114yes—
1306Dic73C22×#4112yes—
1307#62816—731nomaximal, Sylow
1308C2×C73—22no—
1309C2×C73—24no—
1310C2×C73—42no—
1311C2×C73—42no—
1312C2×C73—44no—
1313C2×C73C23×#4111yescharacteristic
1314C2×C73C2×#58511yescharacteristic
1315C2×C73C2×#58511yescharacteristic
1316D73—22no—
1317D73—41no—
1318D73—42no—
1319#3524—732no—
1320#3523—731no—
1321#3522—731no—
1322#3521—734no—
1323#3521—732no—
1324#3520—732no—
1325#3520—731no—
1326#3519—732no—
1327#3519D7311yescharacteristic, complemented
1328#3518—731no—
1329#3517—731no—
1330#3516—732no—
1331#3515—731no—
1332#3515—732no—
1333#3514—732no—
1334#3514—731no—
1335#3513—734no—
1336#3513—732no—
1337#3480—732no—
1338#3480—731no—
1339Q8×#41—731no—
1340#3475—731no—
1341#3475—732no—
1342#3475—734no—
1343#3475—732no—
1344D4×#41—731no—
1345D4×#41—732no—
1346#3455—732no—
1347#3455—734no—
1348#3444—731no—
1349#3444—732no—
1350C2×#529—731no—
1351C2×#529—732no—
1352#3428—732no—
1353C2×C4×#41—731no—
1354C73#6281611yescharacteristic, complemented, Sylow
1355C22×#41—731no—
1356C22×#41—732no—
1357#559—732no—
1358#559—731no—
1359#559—734no—
1360#559—732no—
1361Q82—731no—
1362#557—732no—
1363#557—732no—
1364#557—731no—
1365#557—731no—
1366#556—734no—
1367#556—732no—
1368#556—734no—
1369#556—731no—
1370#556—732no—
1371#556—731no—
1372#556—732no—
1373#556—732no—
1374#555—732no—
1375#555—734no—
1376#555—732no—
1377#555C2×D7311yescharacteristic, complemented
1378#554—731no—
1379#554—734no—
1380#554—732no—
1381#554—734no—
1382#554—732no—
1383#554—732no—
1384#554—732no—
1385#554C2×D7311yescharacteristic, complemented
1386#553—734no—
1387#553—734no—
1388#553—734no—
1389#553—732no—
1390#553—734no—
1391#553—734no—
1392#553—732no—
1393#553—732no—
1394#553—734no—
1395#553—732no—
1396#553C2×D7312yescomplemented
1397#553C2×D7312yescomplemented
1398#552—734no—
1399#552—732no—
1400#552—734no—
1401#552—734no—
1402#552—734no—
1403#552—732no—
1404#552—734no—
1405#552—732no—
1406#552—732no—
1407#552—734no—
1408#552—732no—
1409#552—732no—
1410#551—734no—
1411#551—734no—
1412#551—734no—
1413#551—734no—
1414#551—734no—
1415#551—734no—
1416#551—734no—
1417#551—734no—
1418#551—734no—
1419#550—731no—
1420#550—732no—
1421#550—732no—
1422#550C2×D7311yescharacteristic, complemented
1423D4×Q8—732no—
1424D4×Q8—732no—
1425D4×Q8—731no—
1426D4×Q8—731no—
1427#548—732no—
1428#548—732no—
1429#548—732no—
1430#548—732no—
1431#548—732no—
1432#548—732no—
1433#547—734no—
1434#547—732no—
1435#547—732no—
1436#547—734no—
1437#547—732no—
1438#547—731no—
1439#547—732no—
1440#547—731no—
1441#546—732no—
1442#546—732no—
1443#546—732no—
1444#546—734no—
1445#546—732no—
1446#546—734no—
1447#546—732no—
1448#546—734no—
1449#546—734no—
1450#546—734no—
1451#546C2×D7314yescomplemented
1452#546C2×D7312yescomplemented
1453D42—734no—
1454D42—732no—
1455D42C2×D7312yescomplemented
1456D42C2×D7311yescharacteristic, complemented
1457#542—734no—
1458#542—734no—
1459#542—734no—
1460#542—734no—
1461#542—732no—
1462#542—732no—
1463#542—732no—
1464#542—732no—
1465#541—734no—
1466#541—734no—
1467#541—732no—
1468#541—732no—
1469#540—732no—
1470#540—734no—
1471#540—734no—
1472#540C2×D7312yescomplemented
1473#539—734no—
1474#539—734no—
1475#539—734no—
1476#539—734no—
1477#539—734no—
1478#539—734no—
1479#538—734no—
1480#538—734no—
1481#538—734no—
1482#538—734no—
1483#538—734no—
1484#538C2×D7314yescomplemented
1485#533—731no—
1486#533—731no—
1487#533—732no—
1488#533—732no—
1489#533—732no—
1490#533—734no—
1491#533—732no—
1492#533—731no—
1493#532—732no—
1494#532—731no—
1495#532—731no—
1496#532—732no—
1497#532—732no—
1498#532—732no—
1499#532—734no—
1500#532C2×D7311yescharacteristic, complemented
1501#529—732no—
1502#529—734no—
1503#529—731no—
1504#529—731no—
1505#529—732no—
1506#529—732no—
1507#529—734no—
1508#529—732no—
1509#529—734no—
1510#529—734no—
1511#529—734no—
1512#529—734no—
1513#529—731no—
1514#529—732no—
1515#529—731no—
1516#529—732no—
1517#529—734no—
1518#529—734no—
1519#529—732no—
1520#529—732no—
1521#529—734no—
1522#529—732no—
1523#529—732no—
1524#529—732no—
1525#529—732no—
1526#529—734no—
1527#529—732no—
1528#529—732no—
1529#529—734no—
1530#529—734no—
1531#529—731no—
1532#529—732no—
1533#529—731no—
1534#529—734no—
1535#529—732no—
1536#529—734no—
1537#529—732no—
1538#529—732no—
1539#529—731no—
1540#529C2×D7311yescharacteristic
1541C2×#126—732no—
1542C2×#126—734no—
1543C2×#125—731no—
1544C2×#125—732no—
1545C2×#124—732no—
1546C2×#124—731no—
1547#525—732no—
1548#525—732no—
1549#525—732no—
1550#525—732no—
1551#525—732no—
1552#525—732no—
1553#525—734no—
1554#525—734no—
1555#525—734no—
1556#525—734no—
1557#525C2×D7312yescomplemented
1558C2×#123—734no—
1559C2×#123—732no—
1560C2×C22⋊Q8—732no—
1561C2×C22⋊Q8—731no—
1562C2×#121—731no—
1563C2×#121C2×D7312yes—
1564#520—732no—
1565#520—734no—
1566#520—732no—
1567#520—732no—
1568#520—734no—
1569#520—732no—
1570#519—732no—
1571#519—732no—
1572#518—732no—
1573#518—734no—
1574#518—734no—
1575#518C2×D7312yescomplemented
1576C4×#41—732no—
1577C4×#41—732no—
1578C4×#41—731no—
1579C4×#41—732no—
1580C4×#41—731no—
1581C4×#41—731no—
1582C4×#41—732no—
1583C4×#41—731no—
1584C4×#41—731no—
1585C4×#41—732no—
1586C4×#41—731no—
1587C4×#41—731no—
1588C4×#41—732no—
1589C4×#41—731no—
1590C4×#41—734no—
1591C4×#41—732no—
1592C4×#41—732no—
1593C4×#41—734no—
1594C4×#41—732no—
1595C4×#41—734no—
1596C4×#41—732no—
1597C4×#41—732no—
1598C2×C4×Q8—731no—
1599C2×C4×Q8—731no—
1600C2×C4×Q8—732no—
1601C2×C4×Q8—731no—
1602C2×C4×D4—731no—
1603C2×C4×D4—734no—
1604C2×C4×D4—732no—
1605C2×C4×D4—732no—
1606C2×C4×D4—732no—
1607C2×C4×D4—731no—
1608C2×C4×D4—732no—
1609C2×C4×D4C2×D7311yescharacteristic, complemented
1610C2×#117—732no—
1611C2×#117—732no—
1612C2×#117—731no—
1613C2×#117—732no—
1614C2×#117—734no—
1615C2×#117—734no—
1616C22×C42—732no—
1617C22×C42—731no—
1618C2×#41—734no—
1619C2×#41—732no—
1620C2×#41—731no—
1621C2×#41—732no—
1622C2×#41—734no—
1623C2×#41—731no—
1624C2×#41—732no—
1625C2×#41—731no—
1626C2×#41—732no—
1627C2×#41—731no—
1628C2×#41—732no—
1629C2×#41—734no—
1630C2×#41—732no—
1631C2×#41—732no—
1632C2×#41—1468no—
1633C2×#41—14616no—
1634C2×#41C22×D7312yes—
1635C2×#41C22×D7312yes—
1636C22×Q8—731no—
1637C22×Q8—732no—
1638C22×Q8—731no—
1639C22×Q8—732no—
1640C22×D4—732no—
1641C22×D4—731no—
1642C22×D4—732no—
1643C22×D4—734no—
1644C22×D4C22×D7311yescharacteristic
1645C22×D4C22×D7312yes—
1646C22×D4C22×D7314yes—
1647C22×D4C22×D7312yes—
1648C23×C4—732no—
1649C23×C4—731no—
1650C23×C4—731no—
1651C23×C4—734no—
1652C23×C4—732no—
1653C23×C4—732no—
1654C23×C4—731no—
1655C23×C4C22×D7312yes—
1656C4⋊Q8—732no—
1657C4⋊Q8—734no—
1658C4⋊Q8—732no—
1659C4⋊Q8—732no—
1660C4⋊Q8—734no—
1661C4⋊Q8—732no—
1662C4⋊Q8—734no—
1663C4⋊Q8—732no—
1664C4⋊Q8—731no—
1665C4⋊Q8—731no—
1666C4⋊Q8—732no—
1667C4⋊Q8C22×D7311yescharacteristic
1668#127—732no—
1669#127—734no—
1670#127C22×D7311yescharacteristic
1671#127C22×D7312yes—
1672#126—732no—
1673#126—732no—
1674#126—732no—
1675#126—734no—
1676#126—734no—
1677#126—734no—
1678#126—732no—
1679#126—734no—
1680#126—734no—
1681#126—734no—
1682#126—732no—
1683#126—734no—
1684#126—732no—
1685#126—734no—
1686#126—734no—
1687#126—734no—
1688#126—734no—
1689#126—734no—
1690#126—734no—
1691#126—734no—
1692#126—734no—
1693#126—734no—
1694#126—734no—
1695#126—734no—
1696#126—734no—
1697#126—734no—
1698#126—732no—
1699#126—734no—
1700#126C22×D7312yes—
1701#126C22×D7314yes—
1702#125—731no—
1703#125—731no—
1704#125—732no—
1705#125—732no—
1706#125—734no—
1707#125—732no—
1708#125—734no—
1709#125—732no—
1710#125—732no—
1711#125—734no—
1712#125—734no—
1713#125—732no—
1714#125—734no—
1715#125—734no—
1716#125—734no—
1717#125—734no—
1718#125—734no—
1719#125—734no—
1720#125—734no—
1721#125—731no—
1722#125—732no—
1723#125—734no—
1724#125—732no—
1725#125C22×D7311yescharacteristic
1726#125C22×D7312yes—
1727#124—731no—
1728#124—731no—
1729#124—732no—
1730#124—734no—
1731#124—732no—
1732#124—732no—
1733#124—734no—
1734#124—732no—
1735#124—734no—
1736#124—734no—
1737#124—732no—
1738#124—732no—
1739#124—732no—
1740#124—732no—
1741#124—734no—
1742#124—734no—
1743#124—734no—
1744#124—734no—
1745#124—734no—
1746#124—734no—
1747#124—734no—
1748#124—731no—
1749#124C22×D7311yescharacteristic
1750#124C22×D7312yes—
1751#124C22×D7314yes—
1752#123—732no—
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#123—734no—
1767#123—732no—
1768#123—734no—
1769#123—734no—
1770#123—734no—
1771#123—732no—
1772#123—732no—
1773#123—734no—
1774#123—732no—
1775#123—732no—
1776#123—732no—
1777#123—734no—
1778#123—734no—
1779#123—734no—
1780#123—734no—
1781#123—734no—
1782#123—734no—
1783#123—734no—
1784#123—734no—
1785#123—734no—
1786#123—734no—
1787#123C22×D7312yes—
1788#123C22×D7314yes—
1789#123C22×D7314yes—
1790#123C22×D7314yes—
1791C22⋊Q8—731no—
1792C22⋊Q8—732no—
1793C22⋊Q8—732no—
1794C22⋊Q8—734no—
1795C22⋊Q8—731no—
1796C22⋊Q8—732no—
1797C22⋊Q8—734no—
1798C22⋊Q8—732no—
1799C22⋊Q8—732no—
1800C22⋊Q8—734no—
1801C22⋊Q8—732no—
1802C22⋊Q8—732no—
1803C22⋊Q8—732no—
1804C22⋊Q8—732no—
1805C22⋊Q8—734no—
1806C22⋊Q8—734no—
1807C22⋊Q8—734no—
1808C22⋊Q8—732no—
1809C22⋊Q8—731no—
1810C22⋊Q8—732no—
1811C22⋊Q8—732no—
1812C22⋊Q8—732no—
1813C22⋊Q8—732no—
1814C22⋊Q8—734no—
1815C22⋊Q8—734no—
1816C22⋊Q8—734no—
1817C22⋊Q8—732no—
1818C22⋊Q8—734no—
1819C22⋊Q8—734no—
1820C22⋊Q8—734no—
1821C22⋊Q8—734no—
1822C22⋊Q8—734no—
1823C22⋊Q8—734no—
1824C22⋊Q8—734no—
1825C22⋊Q8—734no—
1826C22⋊Q8—734no—
1827C22⋊Q8—734no—
1828C22⋊Q8—734no—
1829C22⋊Q8—734no—
1830C22⋊Q8C22×D7311yescharacteristic
1831C22⋊Q8C22×D7312yes—
1832C22⋊Q8C22×D7314yes—
1833#121—732no—
1834#121—731no—
1835#121—732no—
1836#121—734no—
1837#121—732no—
1838#121—734no—
1839#121—732no—
1840#121—734no—
1841#121—732no—
1842#121—734no—
1843#121—734no—
1844#121—734no—
1845#121—732no—
1846#121—732no—
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—731no—
1857#121—732no—
1858#121—734no—
1859#121—731no—
1860#121—732no—
1861#121—734no—
1862#121C22×D7311yescharacteristic
1863#121C22×D7312yes—
1864#121C22×D7314yes—
1865#121C22×D7314yes—
1866#121C22×D7312yes—
1867#121C22×D7312yes—
1868#121C22×D7312yes—
1869#121C22×D7312yes—
1870#121C22×D7312yes—
1871#121C22×D7312yes—
1872#121C22×D7314yes—
1873#121C22×D7314yes—
1874#121C22×D7314yes—
1875#120—734no—
1876#120—734no—
1877#120—734no—
1878#120—734no—
1879#120—734no—
1880#120—734no—
1881#120C22×D7314yes—
1882#120C22×D7314yes—
1883#120C22×D7314yes—
1884C4×Q8—731no—
1885C4×Q8—732no—
1886C4×Q8—732no—
1887C4×Q8—732no—
1888C4×Q8—731no—
1889C4×Q8—731no—
1890C4×Q8—732no—
1891C4×Q8—732no—
1892C4×Q8—731no—
1893C4×Q8—731no—
1894C4×Q8—732no—
1895C4×Q8—731no—
1896C4×Q8—732no—
1897C4×Q8—734no—
1898C4×Q8—732no—
1899C4×Q8—732no—
1900C4×Q8—734no—
1901C4×Q8—734no—
1902C4×Q8—732no—
1903C4×Q8—732no—
1904C4×Q8—734no—
1905C4×Q8—732no—
1906C4×Q8—734no—
1907C4×Q8—732no—
1908C4×Q8—731no—
1909C4×Q8—732no—
1910C4×Q8—731no—
1911C4×Q8—731no—
1912C4×Q8—731no—
1913C4×Q8—732no—
1914C4×Q8—731no—
1915C4×Q8—732no—
1916C4×Q8—734no—
1917C4×Q8—732no—
1918C4×Q8—732no—
1919C4×Q8—732no—
1920C4×Q8—734no—
1921C4×Q8—732no—
1922C4×Q8—734no—
1923C4×Q8C22×D7311yescharacteristic
1924C4×D4—731no—
1925C4×D4—732no—
1926C4×D4—731no—
1927C4×D4—734no—
1928C4×D4—732no—
1929C4×D4—732no—
1930C4×D4—731no—
1931C4×D4—731no—
1932C4×D4—732no—
1933C4×D4—731no—
1934C4×D4—734no—
1935C4×D4—734no—
1936C4×D4—734no—
1937C4×D4—734no—
1938C4×D4—732no—
1939C4×D4—734no—
1940C4×D4—734no—
1941C4×D4—734no—
1942C4×D4—732no—
1943C4×D4—734no—
1944C4×D4—734no—
1945C4×D4—732no—
1946C4×D4—732no—
1947C4×D4—732no—
1948C4×D4—734no—
1949C4×D4—732no—
1950C4×D4—734no—
1951C4×D4—734no—
1952C4×D4—734no—
1953C4×D4—732no—
1954C4×D4—732no—
1955C4×D4—732no—
1956C4×D4—732no—
1957C4×D4—732no—
1958C4×D4—732no—
1959C4×D4—732no—
1960C4×D4—732no—
1961C4×D4—732no—
1962C4×D4—732no—
1963C4×D4—732no—
1964C4×D4—732no—
1965C4×D4—732no—
1966C4×D4—734no—
1967C4×D4—734no—
1968C4×D4—734no—
1969C4×D4—734no—
1970C4×D4—734no—
1971C4×D4—734no—
1972C4×D4—734no—
1973C4×D4—734no—
1974C4×D4—734no—
1975C4×D4—734no—
1976C4×D4—731no—
1977C4×D4—732no—
1978C4×D4—732no—
1979C4×D4—732no—
1980C4×D4—732no—
1981C4×D4—732no—
1982C4×D4—732no—
1983C4×D4—732no—
1984C4×D4—732no—
1985C4×D4—732no—
1986C4×D4—732no—
1987C4×D4—732no—
1988C4×D4—732no—
1989C4×D4—732no—
1990C4×D4—734no—
1991C4×D4—734no—
1992C4×D4—734no—
1993C4×D4—734no—
1994C4×D4—734no—
1995C4×D4—734no—
1996C4×D4—734no—
1997C4×D4—734no—
1998C4×D4—734no—
1999C4×D4—734no—
2000C4×D4—734no—
2001C4×D4—731no—
2002C4×D4—732no—
2003C4×D4C22×D7312yes—
2004C4×D4C22×D7311yescharacteristic
2005C4×D4C22×D7311yescharacteristic
2006C4×D4C22×D7312yes—
2007C4×D4C22×D7311yescharacteristic
2008C4×D4C22×D7311yescharacteristic
2009C4×D4C22×D7312yes—
2010C4×D4C22×D7311yescharacteristic
2011C4×D4C22×D7314yes—
2012C4×D4C22×D7312yes—
2013C4×D4C22×D7312yes—
2014C4×D4C22×D7314yes—
2015C4×D4C22×D7312yes—
2016C4×D4C22×D7314yes—
2017C4×D4C22×D7312yes—
2018#117—732no—
2019#117—732no—
2020#117—732no—
2021#117—732no—
2022#117—734no—
2023#117—734no—
2024#117—731no—
2025#117—732no—
2026#117—731no—
2027#117—732no—
2028#117—732no—
2029#117—732no—
2030#117—732no—
2031#117—731no—
2032#117—731no—
2033#117—732no—
2034#117—734no—
2035#117—732no—
2036#117—732no—
2037#117—734no—
2038#117—732no—
2039#117—732no—
2040#117—734no—
2041#117—732no—
2042#117—734no—
2043#117—732no—
2044#117—734no—
2045#117—732no—
2046#117—732no—
2047#117—732no—
2048#117—732no—
2049#117—734no—
2050#117—734no—
2051#117—734no—
2052#117—734no—
2053#117—734no—
2054#117—734no—
2055#117—734no—
2056#117—734no—
2057#117—734no—
2058#117—734no—
2059#117—734no—
2060#117—732no—
2061#117—732no—
2062#117—734no—
2063#117—734no—
2064#117C22×D7312yes—
2065#117C22×D7312yes—
2066#117C22×D7312yes—
2067C2×C4⋊C4—732no—
2068C2×C4⋊C4—731no—
2069C2×C4⋊C4—732no—
2070C2×C4⋊C4—734no—
2071C2×C4⋊C4—734no—
2072C2×C4⋊C4—734no—
2073C2×C4⋊C4—734no—
2074C2×C4⋊C4—732no—
2075C2×C4⋊C4—734no—
2076C2×C4⋊C4—734no—
2077C2×C4⋊C4—732no—
2078C2×C4⋊C4—732no—
2079C2×C4⋊C4—732no—
2080C2×C4⋊C4—732no—
2081C2×C4⋊C4—731no—
2082C2×C4⋊C4—732no—
2083C2×C4⋊C4—731no—
2084C2×C4⋊C4—732no—
2085C2×C4⋊C4C22×D7311yescharacteristic
2086C2×C4⋊C4C22×D7312yes—
2087C2×C22⋊C4—732no—
2088C2×C22⋊C4—734no—
2089C2×C22⋊C4—734no—
2090C2×C22⋊C4—734no—
2091C2×C22⋊C4—734no—
2092C2×C22⋊C4—734no—
2093C2×C22⋊C4—732no—
2094C2×C22⋊C4—732no—
2095C2×C22⋊C4—732no—
2096C2×C22⋊C4—734no—
2097C2×C22⋊C4—732no—
2098C2×C22⋊C4—732no—
2099C2×C22⋊C4—732no—
2100C2×C22⋊C4C22×D7312yes—
2101C2×C22⋊C4C22×D7314yes—
2102C2×C22⋊C4C22×D7314yes—
2103C2×C42—732no—
2104C2×C42—731no—
2105C2×C42—732no—
2106C2×C42—734no—
2107C2×C42—734no—
2108C2×C42—734no—
2109C2×C42—732no—
2110C2×C42—731no—
2111C2×C42—732no—
2112C2×C42—732no—
2113C2×C42—732no—
2114C2×C42—732no—
2115C2×C42—732no—
2116C2×C42—732no—
2117C2×C42—732no—
2118C2×C42—732no—
2119C2×C42—731no—
2120C2×C42—731no—
2121C2×C42—732no—
2122C2×C42—734no—
2123C2×C42—731no—
2124C2×C42—731no—
2125C2×C42—731no—
2126C2×C42—731no—
2127C2×C42—731no—
2128C2×C42—731no—
2129C2×C42—731no—
2130C2×C42C22×D7311yescharacteristic
2131C24—732no—
2132C24—731no—
2133C24C23×D7312yes—
2134C24C23×D7314yes—
2135#41—44no—
2136#41—44no—
2137#41—2924no—
2138#41—2924no—
2139#41—2928no—
2140#41—738no—
2141#41—1468no—
2142#41—14616no—
2143#41—1464no—
2144#41—1468no—
2145#41—1468no—
2146#41—14616no—
2147#41—1464no—
2148#41—1468no—
2149#41—1464no—
2150#41—1468no—
2151C2×Q8—2924no—
2152C2×Q8—2922no—
2153C2×Q8—734no—
2154C2×Q8—732no—
2155C2×Q8—734no—
2156C2×Q8—731no—
2157C2×Q8—731no—
2158C2×Q8—732no—
2159C2×Q8—734no—
2160C2×Q8—731no—
2161C2×Q8—732no—
2162C2×Q8—732no—
2163C2×Q8—1464no—
2164C2×Q8—1468no—
2165C2×Q8C23×D7311yescharacteristic
2166C2×Q8C23×D7312yes—
2167C2×D4—24no—
2168C2×D4—28no—
2169C2×D4—44no—
2170C2×D4—48no—
2171C2×D4—2924no—
2172C2×D4—2922no—
2173C2×D4—732no—
2174C2×D4—732no—
2175C2×D4—734no—
2176C2×D4—734no—
2177C2×D4—734no—
2178C2×D4—732no—
2179C2×D4—732no—
2180C2×D4—734no—
2181C2×D4—732no—
2182C2×D4—734no—
2183C2×D4—732no—
2184C2×D4—732no—
2185C2×D4—734no—
2186C2×D4—732no—
2187C2×D4—731no—
2188C2×D4—1468no—
2189C2×D4—14616no—
2190C2×D4C23×D7314yes—
2191C2×D4C23×D7312yes—
2192C2×D4C23×D7311yescharacteristic
2193C2×D4C23×D7312yes—
2194C2×D4C23×D7312yes—
2195C2×D4C23×D7314yes—
2196C2×D4C23×D7311yescharacteristic
2197C2×D4C23×D7312yes—
2198C2×D4C23×D7314yes—
2199C2×D4C23×D7314yes—
2200C2×D4C23×D7312yes—
2201C2×D4C23×D7314yes—
2202C2×D4C23×D7314yes—
2203C2×D4C23×D7311yescharacteristic
2204C22×C4—44no—
2205C22×C4—2922no—
2206C22×C4—2922no—
2207C22×C4—2924no—
2208C22×C4—732no—
2209C22×C4—732no—
2210C22×C4—731no—
2211C22×C4—732no—
2212C22×C4—732no—
2213C22×C4—734no—
2214C22×C4—734no—
2215C22×C4—734no—
2216C22×C4—731no—
2217C22×C4—731no—
2218C22×C4—731no—
2219C22×C4—731no—
2220C22×C4—731no—
2221C22×C4—731no—
2222C22×C4—732no—
2223C22×C4—732no—
2224C22×C4—734no—
2225C22×C4—734no—
2226C22×C4—732no—
2227C22×C4—731no—
2228C22×C4—731no—
2229C22×C4—731no—
2230C22×C4—732no—
2231C22×C4—732no—
2232C22×C4—732no—
2233C22×C4—734no—
2234C22×C4—732no—
2235C22×C4—732no—
2236C22×C4—734no—
2237C22×C4—734no—
2238C22×C4—732no—
2239C22×C4—734no—
2240C22×C4—731no—
2241C22×C4—731no—
2242C22×C4—732no—
2243C22×C4—731no—
2244C22×C4—731no—
2245C22×C4—731no—
2246C22×C4—732no—
2247C22×C4—732no—
2248C22×C4—1464no—
2249C22×C4—1468no—
2250C22×C4—1468no—
2251C22×C4—14616no—
2252C22×C4C23×D7311yescharacteristic
2253C22×C4C23×D7312yes—
2254C22×C4C23×D7312yes—
2255C22×C4C23×D7311yescharacteristic
2256C22×C4C23×D7311yescharacteristic
2257C22×C4C23×D7312yes—
2258C22×C4C23×D7312yes—
2259C22×C4C23×D7312yes—
2260C22×C4C23×D7312yes—
2261C22×C4C23×D7314yes—
2262C22×C4C23×D7314yes—
2263C22×C4C23×D7314yes—
2264C4⋊C4—732no—
2265C4⋊C4—732no—
2266C4⋊C4—732no—
2267C4⋊C4—734no—
2268C4⋊C4—732no—
2269C4⋊C4—734no—
2270C4⋊C4—732no—
2271C4⋊C4—732no—
2272C4⋊C4—732no—
2273C4⋊C4—732no—
2274C4⋊C4—734no—
2275C4⋊C4—734no—
2276C4⋊C4—732no—
2277C4⋊C4—734no—
2278C4⋊C4—732no—
2279C4⋊C4—734no—
2280C4⋊C4—734no—
2281C4⋊C4—732no—
2282C4⋊C4—732no—
2283C4⋊C4—732no—
2284C4⋊C4—734no—
2285C4⋊C4—732no—
2286C4⋊C4—734no—
2287C4⋊C4—732no—
2288C4⋊C4—732no—
2289C4⋊C4—732no—
2290C4⋊C4—734no—
2291C4⋊C4—734no—
2292C4⋊C4—732no—
2293C4⋊C4—734no—
2294C4⋊C4—734no—
2295C4⋊C4—734no—
2296C4⋊C4—734no—
2297C4⋊C4—734no—
2298C4⋊C4—731no—
2299C4⋊C4—731no—
2300C4⋊C4—732no—
2301C4⋊C4—732no—
2302C4⋊C4—731no—
2303C4⋊C4—731no—
2304C4⋊C4—732no—
2305C4⋊C4—732no—
2306C4⋊C4—732no—
2307C4⋊C4—734no—
2308C4⋊C4—732no—
2309C4⋊C4—732no—
2310C4⋊C4—734no—
2311C4⋊C4—734no—
2312C4⋊C4—734no—
2313C4⋊C4—734no—
2314C4⋊C4—734no—
2315C4⋊C4—732no—
2316C4⋊C4—732no—
2317C4⋊C4C23×D7311yescharacteristic
2318C4⋊C4C23×D7311yescharacteristic
2319C4⋊C4C23×D7312yes—
2320C4⋊C4C23×D7312yes—
2321C4⋊C4C23×D7312yes—
2322C4⋊C4C23×D7311yescharacteristic
2323C4⋊C4C23×D7312yes—
2324C4⋊C4C23×D7312yes—
2325C4⋊C4C23×D7311yescharacteristic
2326C4⋊C4C23×D7312yes—
2327C4⋊C4C23×D7312yes—
2328C4⋊C4C23×D7314yes—
2329C4⋊C4C23×D7314yes—
2330C22⋊C4—732no—
2331C22⋊C4—734no—
2332C22⋊C4—732no—
2333C22⋊C4—732no—
2334C22⋊C4—732no—
2335C22⋊C4—732no—
2336C22⋊C4—732no—
2337C22⋊C4—732no—
2338C22⋊C4—734no—
2339C22⋊C4—734no—
2340C22⋊C4—732no—
2341C22⋊C4—734no—
2342C22⋊C4—732no—
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—734no—
2355C22⋊C4—732no—
2356C22⋊C4—732no—
2357C22⋊C4—734no—
2358C22⋊C4—732no—
2359C22⋊C4—732no—
2360C22⋊C4—732no—
2361C22⋊C4—732no—
2362C22⋊C4—732no—
2363C22⋊C4—732no—
2364C22⋊C4—732no—
2365C22⋊C4—732no—
2366C22⋊C4—732no—
2367C22⋊C4—732no—
2368C22⋊C4—732no—
2369C22⋊C4—732no—
2370C22⋊C4—734no—
2371C22⋊C4—734no—
2372C22⋊C4—734no—
2373C22⋊C4C23×D7312yes—
2374C22⋊C4C23×D7312yes—
2375C22⋊C4C23×D7314yes—
2376C22⋊C4C23×D7312yes—
2377C22⋊C4C23×D7312yes—
2378C22⋊C4C23×D7312yes—
2379C22⋊C4C23×D7312yes—
2380C22⋊C4C23×D7312yes—
2381C22⋊C4C23×D7314yes—
2382C22⋊C4C23×D7314yes—
2383C22⋊C4C23×D7312yes—
2384C22⋊C4C23×D7314yes—
2385C22⋊C4C23×D7312yes—
2386C22⋊C4C23×D7314yes—
2387C22⋊C4C23×D7314yes—
2388C22⋊C4C23×D7314yes—
2389C42—731no—
2390C42—732no—
2391C42—731no—
2392C42—731no—
2393C42—731no—
2394C42—731no—
2395C42—732no—
2396C42—731no—
2397C42—732no—
2398C42—732no—
2399C42—734no—
2400C42—732no—
2401C42—731no—
2402C42—732no—
2403C42—732no—
2404C42—731no—
2405C42—731no—
2406C42—731no—
2407C42—732no—
2408C42—732no—
2409C42—732no—
2410C42—731no—
2411C42—732no—
2412C42—732no—
2413C42—732no—
2414C42—731no—
2415C42—732no—
2416C42—734no—
2417C42—734no—
2418C42—734no—
2419C42—734no—
2420C42—734no—
2421C42—734no—
2422C42—732no—
2423C42—734no—
2424C42C23×D7311yescharacteristic
2425C42C23×D7311yescharacteristic
2426C42C23×D7311yescharacteristic
2427C42C23×D7311yescharacteristic
2428C42C23×D7314yes—
2429C42C23×D7312yes—
2430C23—24no—
2431C23—24no—
2432C23—28no—
2433C23—42no—
2434C23—44no—
2435C23—44no—
2436C23—2921no—
2437C23—2922no—
2438C23—2922no—
2439C23—731no—
2440C23—731no—
2441C23—732no—
2442C23—1462no—
2443C23—1464no—
2444C23—1462no—
2445C23C24×D7312yes—
2446C23C24×D7312yes—
2447C23C24×D7314yes—
2448C23C24×D7312yes—
2449C23C24×D7311yescharacteristic
2450Q8—22no—
2451Q8—42no—
2452Q8—2924no—
2453Q8—2922no—
2454Q8—2924no—
2455Q8—734no—
2456Q8—1464no—
2457Q8—1468no—
2458Q8—1462no—
2459Q8—1464no—
2460Q8—1462no—
2461Q8—1464no—
2462D4—24no—
2463D4—28no—
2464D4—24no—
2465D4—28no—
2466D4—22no—
2467D4—24no—
2468D4—22no—
2469D4—24no—
2470D4—44no—
2471D4—44no—
2472D4—44no—
2473D4—42no—
2474D4—44no—
2475D4—2922no—
2476D4—2922no—
2477D4—2922no—
2478D4—2924no—
2479D4—2924no—
2480D4—2924no—
2481D4—738no—
2482D4—1464no—
2483D4—1468no—
2484D4—1464no—
2485D4—1468no—
2486D4—1464no—
2487D4—1468no—
2488D4—1464no—
2489D4—1462no—
2490D4#41×D7314yes—
2491C2×C4—22no—
2492C2×C4—22no—
2493C2×C4—24no—
2494C2×C4—22no—
2495C2×C4—24no—
2496C2×C4—24no—
2497C2×C4—42no—
2498C2×C4—42no—
2499C2×C4—42no—
2500C2×C4—44no—
2501C2×C4—44no—
2502C2×C4—44no—
2503C2×C4—2921no—
2504C2×C4—2921no—
2505C2×C4—2921no—
2506C2×C4—2921no—
2507C2×C4—2921no—
2508C2×C4—2921no—
2509C2×C4—2922no—
2510C2×C4—2922no—
2511C2×C4—2924no—
2512C2×C4—2924no—
2513C2×C4—2922no—
2514C2×C4—2922no—
2515C2×C4—2921no—
2516C2×C4—2922no—
2517C2×C4—2922no—
2518C2×C4—2924no—
2519C2×C4—2924no—
2520C2×C4—2924no—
2521C2×C4—738no—
2522C2×C4—731no—
2523C2×C4—732no—
2524C2×C4—734no—
2525C2×C4—731no—
2526C2×C4—731no—
2527C2×C4—732no—
2528C2×C4—731no—
2529C2×C4—731no—
2530C2×C4—732no—
2531C2×C4—732no—
2532C2×C4—734no—
2533C2×C4—734no—
2534C2×C4—732no—
2535C2×C4—731no—
2536C2×C4—732no—
2537C2×C4—732no—
2538C2×C4—1462no—
2539C2×C4—1464no—
2540C2×C4—1462no—
2541C2×C4—1464no—
2542C2×C4—1462no—
2543C2×C4—1464no—
2544C2×C4—1464no—
2545C2×C4—1468no—
2546C2×C4—1464no—
2547C2×C4—1468no—
2548C2×C4—1464no—
2549C2×C4—1468no—
2550C2×C4—1464no—
2551C2×C4—1468no—
2552C2×C4—1462no—
2553C2×C4—1464no—
2554C2×C4—1462no—
2555C2×C4—1464no—
2556C2×C4—1462no—
2557C2×C4—1462no—
2558C2×C4C24×D7311yescharacteristic
2559C2×C4C24×D7311yescharacteristic
2560C2×C4C24×D7312yes—
2561C2×C4C24×D7312yes—
2562C2×C4C24×D7314yes—
2563C2×C4C24×D7312yes—
2564C2×C4C24×D7312yes—
2565C2×C4C24×D7311yescharacteristic
2566C2×C4C24×D7311yescharacteristic
2567C2×C4C24×D7312yes—
2568C2×C4C24×D7311yescharacteristic
2569C2×C4C24×D7311yescharacteristic
2570C22—21no—
2571C22—21no—
2572C22—22no—
2573C22—22no—
2574C22—22no—
2575C22—22no—
2576C22—24no—
2577C22—22no—
2578C22—24no—
2579C22—24no—
2580C22—22no—
2581C22—22no—
2582C22—22no—
2583C22—48no—
2584C22—88no—
2585C22—2924no—
2586C22—5844no—
2587C22—732no—
2588C22—1461no—
2589C22—1462no—
2590C22—1461no—
2591C22—1462no—
2592C22—1462no—
2593C22—1461no—
2594C22—1461no—
2595C22—1461no—
2596C22C2×#41×D7314yes—
2597C22#1798942212yes—
2598C22C25×D7311yescharacteristic
2599C4—21no—
2600C4—22no—
2601C4—21no—
2602C4—21no—
2603C4—22no—
2604C4—22no—
2605C4—21no—
2606C4—22no—
2607C4—24no—
2608C4—22no—
2609C4—732no—
2610C4—734no—
2611C4—1461no—
2612C4—1462no—
2613C4—1462no—
2614C4—1464no—
2615C4—1461no—
2616C4—1461no—
2617C4—1462no—
2618C4—1461no—
2619C4—1464no—
2620C4—1462no—
2621C4—1462no—
2622C4—1462no—
2623C4—1461no—
2624C4C2×#41×D7312yes—
2625C4#1798942212yes—
2626C2—22no—
2627C2—24no—
2628C2—42no—
2629C2—42no—
2630C2—44no—
2631C2—2921no—
2632C2—2922no—
2633C2—1462no—
2634C2C22×#41×D7311yescharacteristic
2635C2C2×#1798942211yescharacteristic
2636C2C2×#1798942211yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3519C2
hypercenter#3519D73
hypocenterC73#62816
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3519

Complements

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

NH ≅ G/Ntype
1. #22624034C2semidirect
2. #22624025C2semidirect
3. #22624008C2semidirect
4. #22623995C2semidirect
5. #22623987C2semidirect
6. #22623980C2semidirect
7. #22623968C2semidirect
8. #22623957C2semidirect
9. #22623947C2semidirect
10. #22623934C2semidirect
11. #22623915C2semidirect
12. #22623910C2semidirect
13. #22623902C2semidirect
14. #22623889C2semidirect
15. #22623883C2semidirect
16. #22623864C2semidirect
17. #22623856C2semidirect
18. #22623530C2semidirect
19. #22623525C2semidirect
20. #22623510C2semidirect
21. #22623490C2semidirect
22. #22623488C2semidirect
23. #22623482C2semidirect
24. #22623482C2semidirect
25. D4×#11924027C2semidirect
26. D4×#11924027C2semidirect
27. #22623315C2semidirect
28. #22623313C2semidirect
29. #22623226C2semidirect
30. #22623223C2semidirect
31. C2×#17989118C2semidirect
32. #529×D73C2semidirect
33. #22623129C2semidirect
34. C2×C4×#11924027C2semidirect
35. C73×#3519C2semidirect
38. #17989323C22semidirect
39. #17989323C22semidirect
40. #17989321C22semidirect
41. #17989320C22semidirect
42. #17989317C22semidirect
43. #17989316C22semidirect
44. #17989315C22semidirect
45. #17989314C22semidirect
46. #17989314C22semidirect
47. #17989307C22semidirect
48. #17989307C22semidirect
49. #17989307C22semidirect
50. #17989306C22semidirect
51. #17989306C22semidirect
52. #17989305C22semidirect
53. #17989305C22semidirect
54. #17989304C22semidirect
55. #17989301C22semidirect
56. #17989301C22semidirect
57. #17989301C22semidirect
58. #17989298C22semidirect
59. #17989296C22semidirect
60. #17989296C22semidirect
61. #17989296C22semidirect
62. #17989292C22semidirect
63. #17989292C22semidirect
64. #17989291C22semidirect
65. #17989287C22semidirect
66. #17989286C22semidirect
67. #17989285C22semidirect
68. #17989284C22semidirect
69. #17989284C22semidirect
70. #17989284C22semidirect
71. #17989280C22semidirect
72. #17989280C22semidirect
73. #17989280C22semidirect
74. #17989280C22semidirect
75. #17989279C22semidirect
76. #17989279C22semidirect
77. #17989277C22semidirect
78. #17989277C22semidirect
79. #17989277C22semidirect
80. #17989276C22semidirect
81. #17989276C22semidirect
82. #17989275C22semidirect
83. #17989274C22semidirect
84. #17989274C22semidirect
85. #17989274C22semidirect
86. #17989273C22semidirect
87. #17989268C22semidirect
88. #17989268C22semidirect
89. #17989268C22semidirect
90. #17989267C22semidirect
91. #17989266C22semidirect
92. #17989265C22semidirect
93. #17989263C22semidirect
94. #17989263C22semidirect
95. #17989263C22semidirect
96. #17989257C22semidirect
97. #17989257C22semidirect
98. #17989255C22semidirect
99. D4×Dic146C22semidirect
100. D4×Dic146C22semidirect
101. D4×Dic146C22semidirect
102. #17989250C22semidirect
103. #17989246C22semidirect
104. #17989244C22semidirect
105. #17989243C22semidirect
106. #17989243C22semidirect
107. #17989243C22semidirect
108. #17989243C22semidirect
109. #17989242C22semidirect
110. #17989241C22semidirect
111. #17989241C22semidirect
112. #17989237C22semidirect
113. #17989237C22semidirect
114. #17989237C22semidirect
115. #17989236C22semidirect
116. #17989236C22semidirect
117. #17989234C22semidirect
118. #17989231C22semidirect
119. #17989231C22semidirect
120. #17989231C22semidirect
121. #17989231C22semidirect
122. #17989231C22semidirect
123. #17989226C22semidirect
124. #17989224C22semidirect
125. #17989224C22semidirect
126. #17989224C22semidirect
127. D4×C22⋊D73C22semidirect
128. D4×C22⋊D73C22semidirect
129. #17989205C22semidirect
130. #17989205C22semidirect
131. #17989204C22semidirect
132. #17989204C22semidirect
133. #17989202C22semidirect
134. #17989202C22semidirect
135. #17989201C22semidirect
136. #17989201C22semidirect
137. #17989200C22semidirect
138. #17989199C22semidirect
139. #17989194C22semidirect
140. #17989194C22semidirect
141. #17989191C22semidirect
142. #17989187C22semidirect
143. #17989187C22semidirect
144. #17989186C22semidirect
145. #17989182C22semidirect
146. #17989180C22semidirect
147. #17989180C22semidirect
148. #17989179C22semidirect
149. #17989179C22semidirect
150. #17989175C22semidirect
151. #17989172C22semidirect
152. #17989172C22semidirect
153. #17989169C22semidirect
154. #17989169C22semidirect
155. #17989144C22semidirect
156. #17989143C22semidirect
157. #17989142C22semidirect
158. #17989142C22semidirect
159. #17989140C22semidirect
160. #17989139C22semidirect
161. #17989139C22semidirect
162. #17989139C22semidirect
163. #17989135C22semidirect
164. #17989135C22semidirect
165. #17989135C22semidirect
166. #17989133C22semidirect
167. #17989132C22semidirect
168. #17989132C22semidirect
169. #17989132C22semidirect
170. #17989124C22semidirect
171. #17989123C22semidirect
172. #17989123C22semidirect
173. #17989122C22semidirect
174. #17989121C22semidirect
175. #17989120C22semidirect
176. #17989120C22semidirect
177. #17989119C22semidirect
178. #17989119C22semidirect
179. #17989119C22semidirect
182. #17989118C22semidirect
183. #17989118C22semidirect
184. #17989118C22semidirect
185. #17989118C22semidirect
186. #17989118C22semidirect
187. #17989118C22semidirect
188. #17989118C22semidirect
189. #17989118C22semidirect
190. #17989118C22semidirect
191. #17989118C22semidirect
192. #17989118C22semidirect
193. #17989118C22semidirect
194. #17989118C22semidirect
195. #17989118C22semidirect
196. #17989117C22semidirect
197. #17989117C22semidirect
198. #17989117C22semidirect
199. #17989116C22semidirect
200. #17989116C22semidirect
201. #17989116C22semidirect
202. #17989116C22semidirect
203. #17989115C22semidirect
204. #17989114C22semidirect
205. #17989114C22semidirect
206. #17989114C22semidirect
207. #17989114C22semidirect
208. #17989114C22semidirect
209. C2×#14556584C22semidirect
210. #126×D73C22semidirect
211. C2×#14556582C22semidirect
212. #125×D73C22semidirect
213. C2×#14556578C22semidirect
214. #124×D73C22semidirect
215. #17989098C22semidirect
216. #17989097C22semidirect
217. #17989097C22semidirect
218. #17989097C22semidirect
219. #17989097C22semidirect
220. #17989094C22semidirect
221. #17989093C22semidirect
222. #17989093C22semidirect
223. #17989093C22semidirect
224. #17989093C22semidirect
225. C2×#14556572C22semidirect
226. #123×D73C22semidirect
227. C2×#14556570C22semidirect
228. C22⋊Q8×D73C22semidirect
230. #17989066C22semidirect
231. #17989066C22semidirect
232. #17989066C22semidirect
233. #17989066C22semidirect
234. #17989066C22semidirect
235. #17989066C22semidirect
236. #17989064C22semidirect
237. #17989064C22semidirect
238. #17989062C22semidirect
239. #17989060C22semidirect
240. #17989060C22semidirect
241. #41×Dic73C22semidirect
242. #41×Dic73C22semidirect
243. #17989055C22semidirect
247. C4×#11924027C22semidirect
248. C4×#11924027C22semidirect
249. C4×#11924027C22semidirect
250. C4×#11924027C22semidirect
251. C4×#11924027C22semidirect
252. C4×#11924027C22semidirect
253. C4×#11924027C22semidirect
254. C4×#11924027C22semidirect
255. C4×#11924027C22semidirect
256. C4×#11924027C22semidirect
257. C4×#11924027C22semidirect
258. C4×#11924027C22semidirect
259. C4×#11924027C22semidirect
260. C4×#11924027C22semidirect
261. C4×#11924027C22semidirect
262. C4×#11924027C22semidirect
263. C2×C4×Dic146C22semidirect
264. C2×#14556556C22semidirect
265. C2×#14556556C22semidirect
266. C4×Q8×D73C22semidirect
267. C2×D4×Dic73C22semidirect
268. C2×D4×Dic73C22semidirect
269. C2×D4×Dic73C22semidirect
270. C2×C4×C22⋊D73C22semidirect
271. C2×#14556551C22semidirect
272. C4×D4×D73C22semidirect
273. C4×D4×D73C22semidirect
274. C2×#14556549C22semidirect
275. C2×#14556547C22semidirect
276. C2×#14556547C22semidirect
277. C2×#14556547C22semidirect
278. #117×D73C22semidirect
279. #117×D73C22semidirect
280. C22×C4×Dic73C22semidirect
281. C2×C42×D73C22semidirect
282. #555×C73C22semidirect
283. #554×C73C22semidirect
284. #553×C73C22semidirect
285. #553×C73C22semidirect
286. #550×C73C22semidirect
287. #546×C73C22semidirect
288. #546×C73C22semidirect
289. D42×C73C22semidirect
290. D42×C73C22semidirect
291. #540×C73C22semidirect
292. #538×C73C22semidirect
293. #532×C73C22semidirect
295. #525×C73C22semidirect
297. #518×C73C22semidirect
298. C2×C4×D4×C73C22semidirect
827. #11924027#41semidirect
1327. #3519D73semidirect
1354. C73#62816semidirect
1377. #555C2×D73semidirect
1385. #554C2×D73semidirect
1396. #553C2×D73semidirect
1397. #553C2×D73semidirect
1422. #550C2×D73semidirect
1451. #546C2×D73semidirect
1452. #546C2×D73semidirect
1455. D42C2×D73semidirect
1456. D42C2×D73semidirect
1472. #540C2×D73semidirect
1484. #538C2×D73semidirect
1500. #532C2×D73semidirect
1557. #525C2×D73semidirect
1575. #518C2×D73semidirect
1609. C2×C4×D4C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226240342
#226240252
#226240082
#226239952
#226239872
#226239802
#226239682
#226239572
#226239472
#226239342
#226239152
#226239102
#226239022
#226238892
#226238832
#226238642
#226238562
#226235302
#226235252
#226235102
#226234902
#226234882
#226234822
D4×#119240272
#226233152
#226233132
#226232262
#226232232
C2×#179891182
#529×D732
#226231292
C2×C4×#119240272
C73×#35192
#6281673