Finite Group Databasebeta

← #33993761

Subgroups — #33993761

Order 18688.

6644 conjugacy classes of subgroups.

The subgroup lattice has 1938 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624604C214yesmaximal, complemented
2#22624588C214yesmaximal, complemented
3#22624553C214yesmaximal, complemented
4#22624481C214yesmaximal, complemented
5#22624386C212yesmaximal, complemented
6#22624382C212yesmaximal, complemented
7#22624286C212yesmaximal, complemented
8#22624281C212yesmaximal, complemented
9#22624131C214yesmaximal, complemented
10#22624112C214yesmaximal, complemented
11#22624076C212yesmaximal, complemented
12#22624067C211yesmaximal, characteristic, complemented
13#22623539C212yesmaximal, complemented
14#22623533C212yesmaximal, complemented
15#22623491C214yesmaximal, complemented
16#22623483C214yesmaximal, complemented
17#22623356C214yesmaximal, complemented
18#22623338C214yesmaximal, complemented
19#22623320C212yesmaximal, complemented
20#22623319C212yesmaximal, complemented
21#22623226C211yesmaximal, characteristic, complemented
22#529×D73C212yesmaximal, complemented
23C73×#3529C211yesmaximal, characteristic, complemented
24C73⋊#564C2212yescomplemented
25#17989341C2212yescomplemented
26#17989340C2214yescomplemented
27#17989339C2214yescomplemented
28#17989339C2214yescomplemented
29#17989338C2214yescomplemented
30#17989337C2212yescomplemented
31#17989337C2211yescharacteristic, complemented
32#17989336C2212yescomplemented
33#17989334C2214yescomplemented
34#17989332C2214yescomplemented
35#17989332C2214yescomplemented
36#17989331C2212yescomplemented
37#17989331C2212yescomplemented
38#17989329C2211yescharacteristic, complemented
39#17989325C2214yescomplemented
40#17989324C2212yescomplemented
41#17989323C2212yescomplemented
42#17989321C2212yescomplemented
43#17989308C2214yescomplemented
44#17989304C2214yescomplemented
45#17989301C2214yescomplemented
46#17989299C2214yescomplemented
47#17989298C2214yescomplemented
48#17989295C2214yescomplemented
49#17989291C2214yescomplemented
50#17989291C2214yescomplemented
51#17989289C2214yescomplemented
52#17989288C2214yescomplemented
53#17989284C2214yescomplemented
54#17989284C2214yescomplemented
55#17989284C2214yescomplemented
56#17989282C2214yescomplemented
57#17989280C2214yescomplemented
58#17989280C2214yescomplemented
59#17989279C2214yescomplemented
60#17989274C2214yescomplemented
61#17989274C2214yescomplemented
62#17989274C2214yescomplemented
63#17989273C2214yescomplemented
64#17989271C2214yescomplemented
65#17989269C2214yescomplemented
66#17989269C2214yescomplemented
67#17989268C2214yescomplemented
68#17989268C2214yescomplemented
69#17989268C2212yescomplemented
70#17989267C2214yescomplemented
71#17989267C2214yescomplemented
72#17989267C2212yescomplemented
73#17989267C2212yescomplemented
74#17989265C2212yescomplemented
75#17989264C2214yescomplemented
76#17989264C2214yescomplemented
77#17989262C2214yescomplemented
78#17989260C2214yescomplemented
79#17989260C2214yescomplemented
80#17989260C2214yescomplemented
81#17989237C2214yescomplemented
82#17989235C2214yescomplemented
83#17989234C2214yescomplemented
84#17989234C2214yescomplemented
85#17989229C2214yescomplemented
86#17989226C2214yescomplemented
87#17989226C2214yescomplemented
88#17989224C2214yescomplemented
89#17989224C2214yescomplemented
90#17989224C2214yescomplemented
91#17989222C2212yescomplemented
92#17989219C2212yescomplemented
93#17989217C2214yescomplemented
94#17989212C2214yescomplemented
95#17989210C2214yescomplemented
96#17989206C2214yescomplemented
97#17989206C2214yescomplemented
98#17989206C2214yescomplemented
99#17989205C2214yescomplemented
100#17989205C2214yescomplemented
101#17989204C2214yescomplemented
102#17989204C2214yescomplemented
103#17989200C2214yescomplemented
104#17989198C2214yescomplemented
105#17989197C2214yescomplemented
106#17989197C2214yescomplemented
107#17989194C2214yescomplemented
108#17989194C2214yescomplemented
109#17989191C2214yescomplemented
110#17989190C2214yescomplemented
111#17989186C2214yescomplemented
112#17989183C2214yescomplemented
113#17989183C2214yescomplemented
114#17989182C2214yescomplemented
115#17989182C2214yescomplemented
116#17989182C2214yescomplemented
117#17989181C2214yescomplemented
118#17989181C2214yescomplemented
119#17989180C2214yescomplemented
120#17989180C2214yescomplemented
121#17989180C2214yescomplemented
122#17989180C2214yescomplemented
123#17989178C2214yescomplemented
124#17989178C2214yescomplemented
125#17989174C2214yescomplemented
126#17989174C2214yescomplemented
127#17989173C2214yes—
128#17989173C2214yescomplemented
129#17989172C2214yescomplemented
130#17989172C2214yescomplemented
131#17989172C2214yescomplemented
132#17989172C2214yescomplemented
133#17989169C2214yescomplemented
134#17989169C2214yescomplemented
135#17989166C2214yes—
136#17989160C2214yescomplemented
137#17989157C2214yescomplemented
138#17989147C2214yescomplemented
139#17989147C2214yescomplemented
140#17989145C2214yescomplemented
141#17989144C2211yescharacteristic, complemented
142#17989144C2212yescomplemented
143#17989142C2212yescomplemented
144#17989141C2214yescomplemented
145#17989140C2214yescomplemented
146#17989140C2212yescomplemented
147#17989135C2212yescomplemented
148#17989133C2212yescomplemented
149#17989124C2212yescomplemented
150#17989123C2212yescomplemented
151#17989122C2212yescomplemented
152#17989121C2212yescomplemented
153#17989120C2214yescomplemented
154#17989119C2212yescomplemented
155#17989119C2214yescomplemented
156#17989119C2214yescomplemented
157#17989119C2214yescomplemented
158#17989119C2214yescomplemented
159#17989118C2212yescomplemented
160#17989118C2214yescomplemented
161#17989117C2214yescomplemented
162#17989117C2214yescomplemented
163#17989117C2214yescomplemented
164#17989117C2214yescomplemented
165#17989117C2214yescomplemented
166#17989117C2214yescomplemented
167#17989117C2214yescomplemented
168#17989116C2212yescomplemented
169#17989116C2212yescomplemented
170#17989116C2212yescomplemented
171#17989115C2214yescomplemented
172#17989115C2214yescomplemented
173#17989115C2214yescomplemented
174#17989114C2214yescomplemented
175#126×D73C2214yescomplemented
176#125×D73C2212yescomplemented
177#124×D73C2212yescomplemented
178#17989098C2212yescomplemented
179#17989097C2214yescomplemented
180#17989096C2214yescomplemented
181#17989096C2214yescomplemented
182#17989094C2214yescomplemented
183#17989094C2211yescharacteristic, complemented
184#17989094C2211yescharacteristic, complemented
185#17989094C2212yescomplemented
186#17989094C2212yescomplemented
187#123×D73C2214yescomplemented
188C22⋊Q8×D73C2212yescomplemented
189#121×D73C2212yes—
190#41×Dic73C2212yescomplemented
191#41×Dic73C2211yescharacteristic, complemented
192#41×Dic73C2211yescharacteristic, complemented
193C4×#11924028C2214yescomplemented
194#17989055C2212yescomplemented
195C4×#11924027C2214yescomplemented
196C4×#11924027C2214yescomplemented
197C4×Q8×D73C2212yescomplemented
198C2×C4×C22⋊D73C2214yescomplemented
199C4×D4×D73C2214yescomplemented
200C4×D4×D73C2214yescomplemented
201C4×D4×D73C2212yescomplemented
202C2×#14556550C2212yescomplemented
203C2×#14556548C2212yescomplemented
204#117×D73C2214yescomplemented
205C2×C42×D73C2211yescharacteristic, complemented
206#563×C73C2212yescomplemented
207#563×C73C2211yescharacteristic, complemented
208#562×C73C2212yescomplemented
209#562×C73C2214yescomplemented
210H(3,𝔽4)×C73C2211yescharacteristic, complemented
211#560×C73C2214yescomplemented
212#560×C73C2212yescomplemented
213#532×C73C2212yescomplemented
214#532×C73C2211yescharacteristic, complemented
215#529×C73C2212yescomplemented
216#529×C73C2214yescomplemented
217#525×C73C2214yescomplemented
218#525×C73C2212yescomplemented
219C2×#11924028C2312yes—
220C2×#11924028C2314yes—
221C2×#11924027C2314yes—
222C2×#11924027C2314yes—
223C2×Q8×D73C2312yes—
224C22×C22⋊D73C2314yes—
225C2×D4×D73C2312yes—
226C2×D4×D73C2314yes—
227C2×D4×D73C2314yes—
228C22×C4×D73C2311yescharacteristic
229C22×C4×D73C2312yes—
230C22×C4×D73C2314yes—
231C22×C4×D73C2312yes—
232#14556591C2312yes—
233#14556591C2314yes—
234#14556590C2314yes—
235#14556590C2314yes—
236#14556590C2314yes—
237#14556590C2314yes—
238#14556589C2312yes—
239#14556589C2314yes—
240#14556587C2312yes—
241#14556586C2314yes—
242#14556586C2314yes—
243#14556586C2314yes—
244#14556586C2314yes—
245#14556586C2314yes—
246#14556586C2314yes—
247#14556586C2314yes—
248#14556586C2314yes—
249#14556586C2314yes—
250#14556586C2314yes—
251#14556586C2314yes—
252#14556585C2314yes—
253#14556584C2314yes—
254#14556584C2314yes—
255#14556584C2314yes—
256#14556584C2314yes—
257#14556584C2314yes—
258#14556584C2314yes—
259#14556584C2314yes—
260#14556584C2314yes—
261#14556584C2314yes—
262#14556584C2314yes—
263#14556584C2314yes—
264#14556584C2314yes—
265#14556584C2314yes—
266#14556584C2314yes—
267#14556584C2314yes—
268#14556584C2314yes—
269#14556584C2314yes—
270#14556584C2314yes—
271#14556584C2314yes—
272#14556583C2312yes—
273#14556583C2314yes—
274#14556583C2312yes—
275#14556582C2312yes—
276#14556582C2312yes—
277#14556582C2314yes—
278#14556582C2314yes—
279#14556582C2314yes—
280#14556582C2314yes—
281#14556582C2314yes—
282#14556582C2314yes—
283#14556582C2314yes—
284#14556581C2314yes—
285#14556581C2314yes—
286#14556581C2314yes—
287#14556581C2314yes—
288#14556581C2314yes—
289#14556581C2314yes—
290#14556581C2314yes—
291#14556581C2314yes—
292#14556581C2314yes—
293#14556581C2314yes—
294#14556581C2314yes—
295#14556581C2314yes—
296#14556580C2312yes—
297#14556580C2312yes—
298#14556579C2312yes—
299#14556578C2312yes—
300#14556578C2314yes—
301#14556578C2314yes—
302#14556578C2314yes—
303#14556578C2314yes—
304#14556578C2312yes—
305#14556577C2314yes—
306#14556577C2314yes—
307#14556577C2314yes—
308#14556577C2314yes—
309#14556577C2314yes—
310#14556577C2314yes—
311#14556577C2314yes—
312#14556577C2314yes—
313#14556577C2314yes—
314#14556577C2314yes—
315#14556576C2314yes—
316#14556576C2314yes—
317#14556576C2314yes—
318#14556576C2314yes—
319#14556576C2314yes—
320#14556576C2314yes—
321#14556575C2314yes—
322#14556575C2314yes—
323#14556575C2314yes—
324#14556575C2314yes—
325#14556575C2314yes—
326#14556575C2314yes—
327#14556575C2314yes—
328#14556574C2314yes—
329#14556574C2314yes—
330#14556573C2314yes—
331#14556573C2314yes—
332#14556573C2314yes—
333#14556573C2314yes—
334#14556573C2314yes—
335#14556573C2314yes—
336#14556573C2314yes—
337#14556573C2314yes—
338#14556573C2314yes—
339#14556573C2314yes—
340#14556573C2314yes—
341#14556573C2314yes—
342#14556573C2314yes—
343#14556573C2314yes—
344#14556572C2314yes—
345#14556572C2314yes—
346#14556572C2314yes—
347#14556572C2314yes—
348#14556572C2314yes—
349#14556572C2314yes—
350#14556572C2314yes—
351#14556572C2314yes—
352#14556572C2312yes—
353#14556572C2312yes—
354#14556572C2314yes—
355#14556572C2314yes—
356#14556572C2312yes—
357#14556572C2312yes—
358#14556571C2312yes—
359#14556571C2314yes—
360#14556571C2314yes—
361#14556571C2314yes—
362#14556571C2314yes—
363#14556571C2314yes—
364#14556570C2312yes—
365#14556570C2314yes—
366#14556570C2314yes—
367#14556570C2314yes—
368#14556570C2314yes—
369#14556569C2314yes—
370#14556569C2314yes—
371#14556569C2314yes—
372#14556569C2314yes—
373#14556569C2314yes—
374#14556569C2314yes—
375#14556569C2314yes—
376#14556568C2314yes—
377#14556568C2314yes—
378#14556568C2314yes—
379#14556568C2314yes—
380#14556568C2314yes—
381#14556568C2314yes—
382#14556568C2314yes—
383#14556568C2314yes—
384#14556568C2314yes—
385#14556568C2314yes—
386#14556568C2314yes—
387#14556568C2314yes—
388#14556568C2314yes—
389#14556568C2314yes—
390#14556568C2314yes—
391#14556567C2312yes—
392#14556567C2314yes—
393#14556567C2312yes—
394#14556567C2312yes—
395#14556567C2314yes—
396#14556567C2314yes—
397#14556567C2314yes—
398#14556567C2314yes—
399#14556566C2312yes—
400#14556565C2312yes—
401#14556565C2314yes—
402#14556564C2314yes—
403#14556564C2314yes—
404#14556564C2314yes—
405#14556564C2314yes—
406#14556564C2314yes—
407#14556563C2314yes—
408#14556563C2314yes—
409#14556563C2314yes—
410#14556563C2314yes—
411#14556563C2314yes—
412#14556563C2314yes—
413#14556563C2314yes—
414#14556563C2314yes—
415#14556563C2314yes—
416#14556563C2314yes—
417#14556563C2314yes—
418#14556562C2314yes—
419#14556562C2312yes—
420#14556562C2312yes—
421#14556562C2314yes—
422#14556562C2314yes—
423#14556562C2314yes—
424#14556562C2314yes—
425#14556562C2314yes—
426#14556562C2314yes—
427#14556562C2314yes—
428#14556562C2312yes—
429#14556561C2314yes—
430#14556561C2314yes—
431#14556560C2314yes—
432#14556559C2314yes—
433#14556559C2314yes—
434#14556559C2314yes—
435#14556559C2314yes—
436#14556559C2314yes—
437#14556559C2312yes—
438#14556559C2312yes—
439#14556559C2312yes—
440#14556559C2312yes—
441Q8×Dic73C2312yes—
442Q8×Dic73C2312yes—
443Q8×Dic73C2312yes—
444Q8×Dic73C2314yes—
445C4×Dic146C2312yes—
446C4×Dic146C2314yes—
447C4×Dic146C2314yes—
448C4×Dic146C2314yes—
449C4×Dic146C2314yes—
450C4×Dic146C2314yes—
451#14556556C2314yes—
452#14556556C2312yes—
453#14556556C2314yes—
454#14556556C2314yes—
455#14556556C2314yes—
456C4×D292C2312yes—
457C4×D292C2314yes—
458C4×D292C2314yes—
459D4×Dic73C2312yes—
460D4×Dic73C2312yes—
461D4×Dic73C2314yes—
462D4×Dic73C2312yes—
463D4×Dic73C2314yes—
464D4×Dic73C2314yes—
465D4×Dic73C2314yes—
466D4×Dic73C2314yes—
467D4×Dic73C2314yes—
468D4×Dic73C2314yes—
469D4×Dic73C2314yes—
470D4×Dic73C2314yes—
471#14556553C2314yes—
472#14556553C2312yes—
473#14556553C2314yes—
474#14556553C2314yes—
475C4×C22⋊D73C2314yes—
476C4×C22⋊D73C2314yes—
477C4×C22⋊D73C2314yes—
478C4×C22⋊D73C2314yes—
479C4×C22⋊D73C2314yes—
480C4×C22⋊D73C2314yes—
481C4×C22⋊D73C2314yes—
482C4×C22⋊D73C2314yes—
483C4×C22⋊D73C2314yes—
484C4×C22⋊D73C2314yes—
485C4×C22⋊D73C2314yes—
486C4×C22⋊D73C2314yes—
487C4×C22⋊D73C2314yes—
488C4×C22⋊D73C2314yes—
489C4×C22⋊D73C2314yes—
490#14556551C2314yes—
491#14556551C2314yes—
492#14556551C2314yes—
493#14556551C2314yes—
494#14556551C2314yes—
495#14556551C2314yes—
496#14556551C2314yes—
497#14556551C2314yes—
498#14556551C2314yes—
499#14556551C2314yes—
500#14556551C2314yes—
501#14556550C2314yes—
502#14556550C2312yes—
503#14556550C2311yescharacteristic
504#14556550C2312yes—
505#14556550C2312yes—
506#14556550C2311yescharacteristic
507#14556550C2314yes—
508#14556550C2314yes—
509#14556550C2314yes—
510#14556550C2314yes—
511#14556549C2314yes—
512#14556549C2314yes—
513#14556549C2314yes—
514#14556549C2314yes—
515#14556548C2314yes—
516#14556548C2314yes—
517#14556548C2314yes—
518#14556548C2314yes—
519#14556548C2314yes—
520#14556548C2314yes—
521#14556548C2314yes—
522#14556547C2314yes—
523#14556547C2314yes—
524#14556547C2314yes—
525#14556547C2314yes—
526#14556547C2314yes—
527#14556547C2314yes—
528C2×C4⋊Dic73C2314yes—
529C2×#11924007C2314yes—
530C2×#11924007C2314yes—
531C4⋊C4×D73C2314yes—
532C4⋊C4×D73C2312yes—
533C4⋊C4×D73C2312yes—
534C4⋊C4×D73C2314yes—
535C4⋊C4×D73C2314yes—
536C4⋊C4×D73C2314yes—
537C4⋊C4×D73C2314yes—
538C2×C22⋊Dic73C2314yes—
539C2×C22⋊Dic73C2314yes—
540C2×#11924005C2314yes—
541C2×#11924005C2314yes—
542C22⋊C4×D73C2314yes—
543C22⋊C4×D73C2314yes—
544C22⋊C4×D73C2314yes—
545C22⋊C4×D73C2314yes—
546C22⋊C4×D73C2314yes—
547C22⋊C4×D73C2314yes—
548C22⋊C4×D73C2314yes—
549C2×C4×Dic73C2312yes—
550C2×C4×Dic73C2312yes—
551C2×C4×Dic73C2314yes—
552C2×C4×Dic73C2311yescharacteristic
553C2×C4×Dic73C2312yes—
554C2×C4×Dic73C2312yes—
555C42×D73C2312yes—
556C42×D73C2312yes—
557C42×D73C2312yes—
558C42×D73C2314yes—
559C42×D73C2312yes—
560C42×D73C2314yes—
561C2×#41×C73C2311yescharacteristic
562C2×#41×C73C2312yes—
563C2×#41×C73C2311yescharacteristic
564C23×C4×C73C2312yes—
565C4⋊Q8×C73C2311yescharacteristic
566C4⋊Q8×C73C2312yes—
567#127×C73C2311yescharacteristic
568#127×C73C2312yes—
569#126×C73C2314yes—
570#126×C73C2314yes—
571#126×C73C2314yes—
572#125×C73C2312yes—
573#125×C73C2314yes—
574#124×C73C2314yes—
575#124×C73C2312yes—
576#124×C73C2312yes—
577#124×C73C2312yes—
578#124×C73C2311yescharacteristic
579#124×C73C2311yescharacteristic
580#123×C73C2314yes—
581#123×C73C2314yes—
582#123×C73C2314yes—
583#123×C73C2314yes—
584#123×C73C2312yes—
585#123×C73C2312yes—
586#123×C73C2314yes—
587C22⋊Q8×C73C2312yes—
588C22⋊Q8×C73C2314yes—
589C22⋊Q8×C73C2314yes—
590C22⋊Q8×C73C2314yes—
591C22⋊Q8×C73C2314yes—
592#121×C73C2314yes—
593#121×C73C2314yes—
594#121×C73C2314yes—
595#121×C73C2314yes—
596#121×C73C2314yes—
597#121×C73C2314yes—
598#121×C73C2312yes—
599#121×C73C2314yes—
600#120×C73C2314yes—
601#120×C73C2314yes—
602#120×C73C2312yes—
603#120×C73C2312yes—
604C4×Q8×C73C2312yes—
605C4×D4×C73C2312yes—
606C4×D4×C73C2314yes—
607C4×D4×C73C2314yes—
608C4×D4×C73C2314yes—
609C4×D4×C73C2314yes—
610#117×C73C2314yes—
611#117×C73C2312yes—
612C2×C42×C73C2311yescharacteristic
613C2×C42×C73C2312yes—
614C23×D73C2411yescharacteristic
615C23×D73C2414yes—
616C23×D73C2412yes—
617#11924028—44no—
618#11924028—48no—
619#11924027—48no—
620#11924027—48no—
621C2×Dic146C2412yes—
622C2×Dic146C2412yes—
623C2×Dic146C2414yes—
624C2×Dic146C2414yes—
625C2×Dic146C2414yes—
626C2×Dic146C2414yes—
627Q8×D73—44no—
628C2×D292C2414yes—
629C2×D292C2412yes—
630C2×D292C2412yes—
631C2×C22⋊D73—48no—
632C2×C22⋊D73C2414yes—
633C2×C22⋊D73C2414yes—
634C2×C22⋊D73C2414yes—
635C2×C22⋊D73C2414yes—
636C2×C22⋊D73C2414yes—
637C2×C22⋊D73C2414yes—
638C2×C22⋊D73C2414yes—
639C2×C22⋊D73C2414yes—
640C2×C22⋊D73C2414yes—
641C2×C22⋊D73C2414yes—
642D4×D73—44no—
643D4×D73—48no—
644D4×D73—48no—
645C22×Dic73C2411yescharacteristic
646C22×Dic73C2412yes—
647C22×Dic73C2414yes—
648C22×Dic73C2414yes—
649C22×Dic73C2414yes—
650C22×Dic73C2414yes—
651C22×Dic73C2414yes—
652C22×Dic73C2414yes—
653C22×Dic73C2412yes—
654C2×C4×D73—42no—
655C2×C4×D73—48no—
656C2×C4×D73—44no—
657C2×C4×D73—44no—
658C2×C4×D73C2412yes—
659C2×C4×D73C2412yes—
660C2×C4×D73C2412yes—
661C2×C4×D73C2414yes—
662C2×C4×D73C2414yes—
663C2×C4×D73C2412yes—
664C2×C4×D73C2412yes—
665C2×C4×D73C2412yes—
666C2×C4×D73C2414yes—
667C2×C4×D73C2414yes—
668C2×C4×D73C2414yes—
669C2×C4×D73C2414yes—
670C2×C4×D73C2414yes—
671C2×C4×D73C2414yes—
672C4⋊Dic73C2414yes—
673C4⋊Dic73C2414yes—
674C4⋊Dic73C2414yes—
675C4⋊Dic73C2412yes—
676C4⋊Dic73C2412yes—
677C4⋊Dic73C2414yes—
678C4⋊Dic73C2414yes—
679C4⋊Dic73C2414yes—
680C4⋊Dic73C2414yes—
681C4⋊Dic73C2414yes—
682C4⋊Dic73C2412yes—
683C4⋊Dic73C2414yes—
684C4⋊Dic73C2414yes—
685C4⋊Dic73C2412yes—
686C4⋊Dic73C2414yes—
687C4⋊Dic73C2414yes—
688#11924007C2414yes—
689#11924007C2414yes—
690#11924007C2414yes—
691#11924007C2414yes—
692#11924007C2414yes—
693#11924007C2414yes—
694#11924007C2414yes—
695#11924007C2414yes—
696#11924007C2414yes—
697#11924007C2414yes—
698#11924007C2414yes—
699#11924007C2414yes—
700#11924007C2414yes—
701#11924007C2414yes—
702#11924007C2414yes—
703#11924007C2414yes—
704#11924007C2414yes—
705#11924007C2414yes—
706#11924007C2414yes—
707#11924007C2414yes—
708#11924007C2414yes—
709#11924007C2414yes—
710#11924007C2414yes—
711#11924007C2414yes—
712C22⋊Dic73C2414yes—
713C22⋊Dic73C2414yes—
714C22⋊Dic73C2414yes—
715C22⋊Dic73C2414yes—
716C22⋊Dic73C2414yes—
717C22⋊Dic73C2414yes—
718C22⋊Dic73C2414yes—
719C22⋊Dic73C2414yes—
720C22⋊Dic73C2414yes—
721C22⋊Dic73C2414yes—
722C22⋊Dic73C2414yes—
723C22⋊Dic73C2414yes—
724C22⋊Dic73C2414yes—
725C22⋊Dic73C2412yes—
726C22⋊Dic73C2412yes—
727C22⋊Dic73C2414yes—
728C22⋊Dic73C2412yes—
729C22⋊Dic73C2412yes—
730C22⋊Dic73C2414yes—
731#11924005C2414yes—
732#11924005C2414yes—
733#11924005C2414yes—
734#11924005C2414yes—
735#11924005C2414yes—
736#11924005C2414yes—
737#11924005C2414yes—
738#11924005C2414yes—
739#11924005C2414yes—
740#11924005C2414yes—
741#11924005C2414yes—
742#11924005C2414yes—
743#11924005C2414yes—
744#11924005C2414yes—
745#11924005C2414yes—
746#11924005C2414yes—
747#11924005C2414yes—
748#11924005C2414yes—
749C4×Dic73C2411yescharacteristic
750C4×Dic73C2412yes—
751C4×Dic73C2412yes—
752C4×Dic73C2412yes—
753C4×Dic73C2411yescharacteristic
754C4×Dic73C2412yes—
755C4×Dic73C2412yes—
756C4×Dic73C2412yes—
757C4×Dic73C2414yes—
758C4×Dic73C2414yes—
759C4×Dic73C2414yes—
760C4×Dic73C2414yes—
761C4×Dic73C2414yes—
762C4×Dic73C2412yes—
763C4×Dic73C2412yes—
764C4×Dic73C2414yes—
765C4×Dic73C2414yes—
766C4×Dic73C2414yes—
767C4×Dic73C2412yes—
768C4×Dic73C2414yes—
769C24×C73C2412yes—
770#41×C73—44no—
771#41×C73—42no—
772#41×C73—42no—
773C2×Q8×C73C2412yes—
774C2×Q8×C73C2412yes—
775C2×Q8×C73C2411yescharacteristic
776C2×Q8×C73C2411yescharacteristic
777C2×D4×C73C2414yes—
778C2×D4×C73C2412yes—
779C2×D4×C73C2414yes—
780C2×D4×C73C2414yes—
781C2×D4×C73C2414yes—
782C2×D4×C73C2412yes—
783C2×D4×C73C2411yescharacteristic
784C2×D4×C73C2414yes—
785C2×D4×C73C2412yes—
786C2×D4×C73C2411yescharacteristic
787C2×D4×C73C2412yes—
788C22×C4×C73—44no—
789C22×C4×C73C2411yescharacteristic
790C22×C4×C73C2412yes—
791C22×C4×C73C2412yes—
792C22×C4×C73C2414yes—
793C22×C4×C73C2412yes—
794C22×C4×C73C2414yes—
795C22×C4×C73C2414yes—
796C22×C4×C73C2412yes—
797C4⋊C4×C73C2414yes—
798C4⋊C4×C73C2414yes—
799C4⋊C4×C73C2414yes—
800C4⋊C4×C73C2414yes—
801C4⋊C4×C73C2414yes—
802C4⋊C4×C73C2414yes—
803C4⋊C4×C73C2412yes—
804C4⋊C4×C73C2414yes—
805C4⋊C4×C73C2412yes—
806C4⋊C4×C73C2414yes—
807C22⋊C4×C73C2414yes—
808C22⋊C4×C73C2412yes—
809C22⋊C4×C73C2414yes—
810C22⋊C4×C73C2412yes—
811C22⋊C4×C73C2414yes—
812C22⋊C4×C73C2414yes—
813C22⋊C4×C73C2414yes—
814C22⋊C4×C73C2414yes—
815C22⋊C4×C73C2414yes—
816C22⋊C4×C73C2414yes—
817C22⋊C4×C73C2414yes—
818C22⋊C4×C73C2414yes—
819C22⋊C4×C73C2414yes—
820C42×C73C2414yes—
821C42×C73C2412yes—
822C42×C73C2411yescharacteristic
823C42×C73C2412yes—
824C42×C73C2411yescharacteristic
825C42×C73C2412yes—
826C23×C73—42no—
827C23×C73—44no—
828C23×C73C2514yes—
829C23×C73C2512yes—
830C23×C73C2512yes—
831C23×C73C2511yescharacteristic
832C22×D73—24no—
833C22×D73—28no—
834C22×D73—41no—
835C22×D73—44no—
836C22×D73—42no—
837C22×D73—44no—
838C22×D73—44no—
839C22×D73C2514yes—
840C22×D73C2512yes—
841Q8×C73—41no—
842Q8×C73—42no—
843Q8×C73—41no—
844Q8×C73—42no—
845D4×C73—42no—
846D4×C73—44no—
847D4×C73—42no—
848D4×C73—42no—
849D4×C73—41no—
850D4×C73—41no—
851D4×C73—42no—
852D4×C73—44no—
853D4×C73—44no—
854D4×C73—44no—
855D4×C73—44no—
856C2×C4×C73—28no—
857C2×C4×C73—24no—
858C2×C4×C73—22no—
859C2×C4×C73—24no—
860C2×C4×C73—44no—
861C2×C4×C73—42no—
862C2×C4×C73—42no—
863C2×C4×C73—44no—
864C2×C4×C73C2514yes—
865C2×C4×C73C2512yes—
866C2×C4×C73C2512yes—
867C2×C4×C73C2514yes—
868C2×C4×C73C2511yescharacteristic
869C2×C4×C73C2512yes—
870C2×C4×C73C2512yes—
871C2×C4×C73C2514yes—
872C2×C4×C73C2511yescharacteristic
873C22⋊D73—28no—
874C22⋊D73—28no—
875C22⋊D73—28no—
876C22⋊D73—44no—
877C22⋊D73—44no—
878C22⋊D73—44no—
879C22⋊D73—44no—
880C22⋊D73—44no—
881C22⋊D73—44no—
882C22⋊D73—44no—
883C2×Dic73—42no—
884C2×Dic73—42no—
885C2×Dic73—44no—
886C2×Dic73—41no—
887C2×Dic73—44no—
888C2×Dic73—44no—
889C2×Dic73—44no—
890C2×Dic73—44no—
891C2×Dic73—44no—
892C2×Dic73C2512yes—
893C2×Dic73C2512yes—
894C2×Dic73C2514yes—
895C2×Dic73C2514yes—
896C2×Dic73C2512yes—
897C2×Dic73C2514yes—
898C2×Dic73C2514yes—
899C2×Dic73C2514yes—
900D292—28no—
901D292—42no—
902D292—42no—
903C4×D73—24no—
904C4×D73—24no—
905C4×D73—28no—
906C4×D73—24no—
907C4×D73—28no—
908C4×D73—42no—
909C4×D73—44no—
910C4×D73—44no—
911C4×D73—44no—
912C4×D73—42no—
913C4×D73—42no—
914C4×D73—44no—
915C4×D73—44no—
916C4×D73—44no—
917Dic146—42no—
918Dic146—44no—
919Dic146—44no—
920Dic146—44no—
921Dic146—44no—
922Dic146—42no—
923C22×C73—24no—
924C22×C73—24no—
925C22×C73—24no—
926C22×C73—22no—
927C22×C73—24no—
928C22×C73—24no—
929C22×C73—21no—
930C22×C73—22no—
931C22×C73—22no—
932C22×C73—84no—
933C22×C73C2611yescharacteristic
934C2×D73—22no—
935C2×D73—22no—
936C2×D73—24no—
937C2×D73—24no—
938C2×D73—24no—
939C2×D73—44no—
940C2×D73—88no—
941C2×D73—84no—
942C2×D73#58514yes—
943C4×C73—22no—
944C4×C73—24no—
945C4×C73—22no—
946C4×C73—24no—
947C4×C73—22no—
948C4×C73—24no—
949C4×C73—22no—
950C4×C73—21no—
951C4×C73#58512yes—
952Dic73—24no—
953Dic73—22no—
954Dic73—24no—
955Dic73—24no—
956Dic73—24no—
957Dic73—24no—
958Dic73—22no—
959Dic73—22no—
960#62755—731nomaximal, Sylow
961C2×C73—41no—
962C2×C73—42no—
963C2×C73—44no—
964C2×C73—42no—
965C2×C73C2×#58512yes—
966C2×C73C2×#58511yescharacteristic
967D73—24no—
968D73—44no—
969#3566—734no—
970#3566—734no—
971#3564—734no—
972#3560—734no—
973#3553—732no—
974#3553—732no—
975#3545—732no—
976#3545—732no—
977#3535—734no—
978#3534—734no—
979#3531—732no—
980#3529—731no—
981#3529D7311yescharacteristic, complemented
982#3481—732no—
983#3481—732no—
984#3475—734no—
985#3475—734no—
986#3461—734no—
987#3459—734no—
988#3455—732no—
989#3455—732no—
990#3444—731no—
991C2×#529—732no—
992C73#6275511yescharacteristic, complemented, Sylow
993#564—732no—
994#563—732no—
995#563—734no—
996#563—734no—
997#563—732no—
998#563—731no—
999#563—732no—
1000#563—734no—
1001#563—734no—
1002#563C2×D7311yescharacteristic, complemented
1003#563C2×D7312yescomplemented
1004#562—732no—
1005#562—732no—
1006#562—734no—
1007#562—734no—
1008#562—734no—
1009#562C2×D7314yescomplemented
1010#562C2×D7312yescomplemented
1011H(3,𝔽4)—731no—
1012H(3,𝔽4)C2×D7311yescharacteristic, complemented
1013#560—732no—
1014#560—734no—
1015#560C2×D7314yescomplemented
1016#560C2×D7312yescomplemented
1017#559—732no—
1018#559—732no—
1019#556—734no—
1020#556—734no—
1021#555—734no—
1022#555—734no—
1023#554—734no—
1024#554—734no—
1025#554—734no—
1026#554—734no—
1027#553—734no—
1028#553—734no—
1029#553—734no—
1030#553—734no—
1031#553—734no—
1032#553—734no—
1033#553—734no—
1034#553—734no—
1035#552—734no—
1036#552—734no—
1037#552—734no—
1038#552—734no—
1039#552—734no—
1040#552—734no—
1041#552—734no—
1042#552—734no—
1043#551—734no—
1044#551—734no—
1045#551—732no—
1046#551—734no—
1047#551—732no—
1048#551—734no—
1049#551—734no—
1050#551—734no—
1051#551—732no—
1052#551—734no—
1053#551—734no—
1054#551—734no—
1055#551—734no—
1056#551—732no—
1057#547—734no—
1058#547—734no—
1059#546—734no—
1060#546—734no—
1061#546—734no—
1062#546—734no—
1063#546—734no—
1064#546—734no—
1065#546—734no—
1066#546—734no—
1067D42—732no—
1068D42—732no—
1069#544—734no—
1070#543—734no—
1071#542—734no—
1072#542—734no—
1073#542—734no—
1074#542—734no—
1075#542—734no—
1076#542—734no—
1077#542—734no—
1078#542—734no—
1079#541—734no—
1080#541—734no—
1081#541—734no—
1082#541—734no—
1083#541—734no—
1084#541—734no—
1085#540—734no—
1086#540—734no—
1087#539—734no—
1088#539—734no—
1089#539—734no—
1090#539—734no—
1091#539—734no—
1092#539—734no—
1093#539—734no—
1094#539—734no—
1095#539—734no—
1096#539—734no—
1097#539—734no—
1098#539—734no—
1099#539—734no—
1100#539—734no—
1101#538—734no—
1102#538—734no—
1103#538—734no—
1104#538—734no—
1105#538—734no—
1106#538—734no—
1107#538—734no—
1108#538—734no—
1109#538—734no—
1110#538—734no—
1111#537—734no—
1112#536—734no—
1113#536—734no—
1114#534—734no—
1115#534—734no—
1116#534—734no—
1117#533—732no—
1118#533—734no—
1119#533—732no—
1120#533—734no—
1121#533—731no—
1122#533—732no—
1123#532—732no—
1124#532—732no—
1125#532C2×D7311yescharacteristic, complemented
1126#532C2×D7312yescomplemented
1127#529—734no—
1128#529—732no—
1129#529—732no—
1130#529—732no—
1131#529—732no—
1132#529—734no—
1133#529—732no—
1134#529—732no—
1135#529—734no—
1136#529—732no—
1137#529—734no—
1138#529—732no—
1139#529—734no—
1140#529—734no—
1141#529—734no—
1142#529—734no—
1143#529—734no—
1144#529—734no—
1145#529—734no—
1146#529—734no—
1147#529—734no—
1148#529—734no—
1149#529—734no—
1150#529—734no—
1151#529—734no—
1152#529—732no—
1153#529C2×D7312yescomplemented
1154#529C2×D7314yescomplemented
1155C2×#126—734no—
1156C2×#125—732no—
1157C2×#124—732no—
1158#525—731no—
1159#525—731no—
1160#525—732no—
1161#525—732no—
1162#525—734no—
1163#525—732no—
1164#525—734no—
1165#525—734no—
1166#525—734no—
1167#525C2×D7312yescomplemented
1168#525C2×D7314yescomplemented
1169C2×#123—734no—
1170C2×C22⋊Q8—732no—
1171C2×#121—732no—
1172C4×#41—731no—
1173C4×#41—731no—
1174C4×#41—732no—
1175C4×#41—734no—
1176C4×#41—734no—
1177C4×#41—732no—
1178C4×#41—734no—
1179C2×C4×Q8—732no—
1180C2×C4×D4—734no—
1181C2×C4×D4—732no—
1182C2×C4×D4—734no—
1183C2×C4×D4—734no—
1184C2×#117—732no—
1185C2×#117—734no—
1186C2×#117—732no—
1187C22×C42—731no—
1188C2×#41—734no—
1189C2×#41—734no—
1190C2×#41—732no—
1191C2×#41—734no—
1192C2×#41C22×D7312yes—
1193C2×#41C22×D7311yescharacteristic
1194C2×#41C22×D7311yescharacteristic
1195C22×Q8—732no—
1196C22×D4—734no—
1197C22×D4—734no—
1198C22×D4—732no—
1199C22×D4—734no—
1200C23×C4—734no—
1201C23×C4—732no—
1202C23×C4—731no—
1203C23×C4—732no—
1204C23×C4C22×D7312yes—
1205C4⋊Q8—732no—
1206C4⋊Q8—734no—
1207C4⋊Q8—734no—
1208C4⋊Q8—734no—
1209C4⋊Q8—734no—
1210C4⋊Q8—734no—
1211C4⋊Q8—732no—
1212C4⋊Q8—734no—
1213C4⋊Q8C22×D7311yescharacteristic
1214C4⋊Q8C22×D7312yes—
1215#127—732no—
1216#127C22×D7311yescharacteristic
1217#127C22×D7312yes—
1218#126—734no—
1219#126—734no—
1220#126—734no—
1221#126—734no—
1222#126—734no—
1223#126—734no—
1224#126—734no—
1225#126—734no—
1226#126—734no—
1227#126—734no—
1228#126—734no—
1229#126—734no—
1230#126—734no—
1231#126—734no—
1232#126—734no—
1233#126—734no—
1234#126—734no—
1235#126—734no—
1236#126—734no—
1237#126—734no—
1238#126—734no—
1239#126—734no—
1240#126—734no—
1241#126—734no—
1242#126—734no—
1243#126—734no—
1244#126—734no—
1245#126—734no—
1246#126—734no—
1247#126—734no—
1248#126—734no—
1249#126C22×D7314yes—
1250#126C22×D7314yes—
1251#126C22×D7314yes—
1252#125—734no—
1253#125—734no—
1254#125—732no—
1255#125—732no—
1256#125—734no—
1257#125—734no—
1258#125—734no—
1259#125—734no—
1260#125—734no—
1261#125—734no—
1262#125—734no—
1263#125—734no—
1264#125—734no—
1265#125—734no—
1266#125—734no—
1267#125—734no—
1268#125—734no—
1269#125—734no—
1270#125—734no—
1271#125—734no—
1272#125—734no—
1273#125—732no—
1274#125—732no—
1275#125—734no—
1276#125C22×D7312yes—
1277#125C22×D7314yes—
1278#124—732no—
1279#124—732no—
1280#124—732no—
1281#124—734no—
1282#124—734no—
1283#124—734no—
1284#124—734no—
1285#124—732no—
1286#124—734no—
1287#124—734no—
1288#124—734no—
1289#124—734no—
1290#124—734no—
1291#124—734no—
1292#124—734no—
1293#124—734no—
1294#124—734no—
1295#124—734no—
1296#124—732no—
1297#124C22×D7312yes—
1298#124C22×D7311yescharacteristic
1299#124C22×D7311yescharacteristic
1300#124C22×D7314yes—
1301#124C22×D7312yes—
1302#124C22×D7312yes—
1303#123—734no—
1304#123—732no—
1305#123—732no—
1306#123—734no—
1307#123—734no—
1308#123—734no—
1309#123—732no—
1310#123—732no—
1311#123—734no—
1312#123—734no—
1313#123—734no—
1314#123—734no—
1315#123—734no—
1316#123—734no—
1317#123—734no—
1318#123—734no—
1319#123—734no—
1320#123—734no—
1321#123—734no—
1322#123—734no—
1323#123—734no—
1324#123—734no—
1325#123—734no—
1326#123—734no—
1327#123—734no—
1328#123—734no—
1329#123—734no—
1330#123—734no—
1331#123—734no—
1332#123—734no—
1333#123—734no—
1334#123—734no—
1335#123—734no—
1336#123—734no—
1337#123—734no—
1338#123—734no—
1339#123—734no—
1340#123—734no—
1341#123—734no—
1342#123—734no—
1343#123—734no—
1344#123—734no—
1345#123—734no—
1346#123C22×D7314yes—
1347#123C22×D7314yes—
1348#123C22×D7314yes—
1349#123C22×D7312yes—
1350#123C22×D7312yes—
1351#123C22×D7314yes—
1352#123C22×D7314yes—
1353C22⋊Q8—732no—
1354C22⋊Q8—732no—
1355C22⋊Q8—732no—
1356C22⋊Q8—734no—
1357C22⋊Q8—734no—
1358C22⋊Q8—734no—
1359C22⋊Q8—734no—
1360C22⋊Q8—734no—
1361C22⋊Q8—732no—
1362C22⋊Q8—734no—
1363C22⋊Q8—734no—
1364C22⋊Q8—734no—
1365C22⋊Q8—734no—
1366C22⋊Q8—734no—
1367C22⋊Q8—732no—
1368C22⋊Q8—734no—
1369C22⋊Q8—734no—
1370C22⋊Q8—734no—
1371C22⋊Q8—734no—
1372C22⋊Q8—734no—
1373C22⋊Q8—734no—
1374C22⋊Q8—734no—
1375C22⋊Q8—734no—
1376C22⋊Q8—734no—
1377C22⋊Q8—734no—
1378C22⋊Q8—734no—
1379C22⋊Q8—734no—
1380C22⋊Q8—734no—
1381C22⋊Q8—734no—
1382C22⋊Q8—734no—
1383C22⋊Q8—734no—
1384C22⋊Q8—734no—
1385C22⋊Q8—734no—
1386C22⋊Q8—734no—
1387C22⋊Q8—734no—
1388C22⋊Q8—734no—
1389C22⋊Q8—734no—
1390C22⋊Q8—734no—
1391C22⋊Q8—734no—
1392C22⋊Q8—734no—
1393C22⋊Q8—734no—
1394C22⋊Q8C22×D7312yes—
1395C22⋊Q8C22×D7314yes—
1396C22⋊Q8C22×D7314yes—
1397C22⋊Q8C22×D7314yes—
1398C22⋊Q8C22×D7314yes—
1399#121—734no—
1400#121—732no—
1401#121—734no—
1402#121—732no—
1403#121—732no—
1404#121—734no—
1405#121—734no—
1406#121—734no—
1407#121—734no—
1408#121—734no—
1409#121—734no—
1410#121—734no—
1411#121—734no—
1412#121—734no—
1413#121—734no—
1414#121—734no—
1415#121—734no—
1416#121—734no—
1417#121—734no—
1418#121—734no—
1419#121—734no—
1420#121—734no—
1421#121—732no—
1422#121—734no—
1423#121—732no—
1424#121—734no—
1425#121—734no—
1426#121—734no—
1427#121—734no—
1428#121—734no—
1429#121C22×D7312yes—
1430#121C22×D7314yes—
1431#121C22×D7314yes—
1432#121C22×D7314yes—
1433#121C22×D7314yes—
1434#121C22×D7314yes—
1435#121C22×D7314yes—
1436#121C22×D7314yes—
1437#120—734no—
1438#120—732no—
1439#120—732no—
1440#120—734no—
1441#120—734no—
1442#120—734no—
1443#120—734no—
1444#120—734no—
1445#120—732no—
1446#120—732no—
1447#120—734no—
1448#120—734no—
1449#120C22×D7314yes—
1450#120C22×D7314yes—
1451#120C22×D7312yes—
1452#120C22×D7312yes—
1453C4×Q8—732no—
1454C4×Q8—732no—
1455C4×Q8—732no—
1456C4×Q8—734no—
1457C4×Q8—734no—
1458C4×Q8—732no—
1459C4×Q8—734no—
1460C4×Q8—734no—
1461C4×Q8—734no—
1462C4×Q8—734no—
1463C4×Q8—732no—
1464C4×Q8—734no—
1465C4×Q8—734no—
1466C4×Q8—734no—
1467C4×Q8—734no—
1468C4×Q8C22×D7312yes—
1469C4×D4—732no—
1470C4×D4—734no—
1471C4×D4—734no—
1472C4×D4—734no—
1473C4×D4—734no—
1474C4×D4—732no—
1475C4×D4—732no—
1476C4×D4—734no—
1477C4×D4—734no—
1478C4×D4—734no—
1479C4×D4—734no—
1480C4×D4—734no—
1481C4×D4—734no—
1482C4×D4—734no—
1483C4×D4—734no—
1484C4×D4—734no—
1485C4×D4—734no—
1486C4×D4—734no—
1487C4×D4—734no—
1488C4×D4—734no—
1489C4×D4—734no—
1490C4×D4—734no—
1491C4×D4—734no—
1492C4×D4—734no—
1493C4×D4—734no—
1494C4×D4—734no—
1495C4×D4—734no—
1496C4×D4—732no—
1497C4×D4—734no—
1498C4×D4—734no—
1499C4×D4—734no—
1500C4×D4—734no—
1501C4×D4—734no—
1502C4×D4—734no—
1503C4×D4—734no—
1504C4×D4—734no—
1505C4×D4—734no—
1506C4×D4—734no—
1507C4×D4—734no—
1508C4×D4—734no—
1509C4×D4—734no—
1510C4×D4—734no—
1511C4×D4—734no—
1512C4×D4—732no—
1513C4×D4—734no—
1514C4×D4C22×D7312yes—
1515C4×D4C22×D7314yes—
1516C4×D4C22×D7314yes—
1517C4×D4C22×D7314yes—
1518C4×D4C22×D7314yes—
1519#117—734no—
1520#117—734no—
1521#117—734no—
1522#117—734no—
1523#117—732no—
1524#117—732no—
1525#117—731no—
1526#117—731no—
1527#117—732no—
1528#117—734no—
1529#117—734no—
1530#117—734no—
1531#117—734no—
1532#117—734no—
1533#117—734no—
1534#117—734no—
1535#117—734no—
1536#117—734no—
1537#117—734no—
1538#117—734no—
1539#117—734no—
1540#117—734no—
1541#117—734no—
1542#117—734no—
1543#117—734no—
1544#117—734no—
1545#117—734no—
1546#117C22×D7314yes—
1547#117C22×D7312yes—
1548C2×C4⋊C4—734no—
1549C2×C4⋊C4—734no—
1550C2×C4⋊C4—734no—
1551C2×C4⋊C4—734no—
1552C2×C4⋊C4—734no—
1553C2×C4⋊C4—732no—
1554C2×C4⋊C4—734no—
1555C2×C4⋊C4—734no—
1556C2×C4⋊C4—732no—
1557C2×C4⋊C4—734no—
1558C2×C22⋊C4—734no—
1559C2×C22⋊C4—734no—
1560C2×C22⋊C4—734no—
1561C2×C22⋊C4—734no—
1562C2×C22⋊C4—734no—
1563C2×C22⋊C4—734no—
1564C2×C22⋊C4—734no—
1565C2×C22⋊C4—734no—
1566C2×C22⋊C4—734no—
1567C2×C22⋊C4—734no—
1568C2×C22⋊C4—734no—
1569C2×C42—732no—
1570C2×C42—732no—
1571C2×C42—732no—
1572C2×C42—734no—
1573C2×C42—731no—
1574C2×C42—732no—
1575C2×C42—732no—
1576C2×C42—734no—
1577C2×C42—732no—
1578C2×C42—734no—
1579C2×C42—732no—
1580C2×C42—732no—
1581C2×C42C22×D7312yes—
1582C2×C42C22×D7311yescharacteristic
1583C24—732no—
1584C24—734no—
1585C24—731no—
1586C24C23×D7312yes—
1587#41—44no—
1588#41—42no—
1589#41—42no—
1590#41—2924no—
1591#41—2928no—
1592#41—2928no—
1593#41—2928no—
1594C2×Q8—2924no—
1595C2×Q8—732no—
1596C2×Q8—732no—
1597C2×Q8—734no—
1598C2×Q8—734no—
1599C2×Q8—734no—
1600C2×Q8—734no—
1601C2×Q8C23×D7312yes—
1602C2×Q8C23×D7311yescharacteristic
1603C2×Q8C23×D7311yescharacteristic
1604C2×Q8C23×D7312yes—
1605C2×D4—2928no—
1606C2×D4—2928no—
1607C2×D4—2928no—
1608C2×D4—2924no—
1609C2×D4—734no—
1610C2×D4—734no—
1611C2×D4—734no—
1612C2×D4—734no—
1613C2×D4—734no—
1614C2×D4—734no—
1615C2×D4—734no—
1616C2×D4—734no—
1617C2×D4—734no—
1618C2×D4—734no—
1619C2×D4—732no—
1620C2×D4—732no—
1621C2×D4—734no—
1622C2×D4C23×D7312yes—
1623C2×D4C23×D7314yes—
1624C2×D4C23×D7312yes—
1625C2×D4C23×D7311yescharacteristic
1626C2×D4C23×D7312yes—
1627C2×D4C23×D7311yescharacteristic
1628C2×D4C23×D7314yes—
1629C2×D4C23×D7314yes—
1630C2×D4C23×D7312yes—
1631C2×D4C23×D7314yes—
1632C2×D4C23×D7314yes—
1633C22×C4—44no—
1634C22×C4—2928no—
1635C22×C4—2922no—
1636C22×C4—2924no—
1637C22×C4—2924no—
1638C22×C4—731no—
1639C22×C4—732no—
1640C22×C4—734no—
1641C22×C4—734no—
1642C22×C4—734no—
1643C22×C4—734no—
1644C22×C4—734no—
1645C22×C4—734no—
1646C22×C4—732no—
1647C22×C4—732no—
1648C22×C4—732no—
1649C22×C4—732no—
1650C22×C4—734no—
1651C22×C4—734no—
1652C22×C4—734no—
1653C22×C4—734no—
1654C22×C4—734no—
1655C22×C4—734no—
1656C22×C4—732no—
1657C22×C4—732no—
1658C22×C4—734no—
1659C22×C4—732no—
1660C22×C4—734no—
1661C22×C4C23×D7312yes—
1662C22×C4C23×D7312yes—
1663C22×C4C23×D7311yescharacteristic
1664C22×C4C23×D7314yes—
1665C22×C4C23×D7312yes—
1666C22×C4C23×D7314yes—
1667C22×C4C23×D7314yes—
1668C22×C4C23×D7312yes—
1669C4⋊C4—734no—
1670C4⋊C4—734no—
1671C4⋊C4—734no—
1672C4⋊C4—734no—
1673C4⋊C4—734no—
1674C4⋊C4—734no—
1675C4⋊C4—734no—
1676C4⋊C4—734no—
1677C4⋊C4—734no—
1678C4⋊C4—734no—
1679C4⋊C4—734no—
1680C4⋊C4—734no—
1681C4⋊C4—734no—
1682C4⋊C4—734no—
1683C4⋊C4—734no—
1684C4⋊C4—734no—
1685C4⋊C4—734no—
1686C4⋊C4—734no—
1687C4⋊C4—734no—
1688C4⋊C4—734no—
1689C4⋊C4—734no—
1690C4⋊C4—734no—
1691C4⋊C4—734no—
1692C4⋊C4—734no—
1693C4⋊C4—734no—
1694C4⋊C4—734no—
1695C4⋊C4—734no—
1696C4⋊C4—734no—
1697C4⋊C4—734no—
1698C4⋊C4—732no—
1699C4⋊C4—732no—
1700C4⋊C4—734no—
1701C4⋊C4—734no—
1702C4⋊C4—734no—
1703C4⋊C4—734no—
1704C4⋊C4—732no—
1705C4⋊C4—734no—
1706C4⋊C4—732no—
1707C4⋊C4—734no—
1708C4⋊C4—734no—
1709C4⋊C4C23×D7314yes—
1710C4⋊C4C23×D7314yes—
1711C4⋊C4C23×D7314yes—
1712C4⋊C4C23×D7314yes—
1713C4⋊C4C23×D7312yes—
1714C4⋊C4C23×D7312yes—
1715C4⋊C4C23×D7314yes—
1716C4⋊C4C23×D7314yes—
1717C4⋊C4C23×D7314yes—
1718C4⋊C4C23×D7314yes—
1719C22⋊C4—734no—
1720C22⋊C4—734no—
1721C22⋊C4—734no—
1722C22⋊C4—734no—
1723C22⋊C4—734no—
1724C22⋊C4—734no—
1725C22⋊C4—734no—
1726C22⋊C4—734no—
1727C22⋊C4—734no—
1728C22⋊C4—734no—
1729C22⋊C4—734no—
1730C22⋊C4—734no—
1731C22⋊C4—732no—
1732C22⋊C4—734no—
1733C22⋊C4—732no—
1734C22⋊C4—734no—
1735C22⋊C4—732no—
1736C22⋊C4—734no—
1737C22⋊C4—732no—
1738C22⋊C4—734no—
1739C22⋊C4—734no—
1740C22⋊C4—734no—
1741C22⋊C4—734no—
1742C22⋊C4—734no—
1743C22⋊C4—734no—
1744C22⋊C4—734no—
1745C22⋊C4—734no—
1746C22⋊C4—734no—
1747C22⋊C4—734no—
1748C22⋊C4—734no—
1749C22⋊C4—734no—
1750C22⋊C4—734no—
1751C22⋊C4—734no—
1752C22⋊C4—734no—
1753C22⋊C4—734no—
1754C22⋊C4—734no—
1755C22⋊C4—734no—
1756C22⋊C4C23×D7314yes—
1757C22⋊C4C23×D7314yes—
1758C22⋊C4C23×D7314yes—
1759C22⋊C4C23×D7314yes—
1760C22⋊C4C23×D7314yes—
1761C22⋊C4C23×D7314yes—
1762C22⋊C4C23×D7314yes—
1763C22⋊C4C23×D7314yes—
1764C22⋊C4C23×D7314yes—
1765C22⋊C4C23×D7314yes—
1766C22⋊C4C23×D7314yes—
1767C22⋊C4C23×D7312yes—
1768C22⋊C4C23×D7312yes—
1769C42—732no—
1770C42—732no—
1771C42—732no—
1772C42—732no—
1773C42—732no—
1774C42—732no—
1775C42—734no—
1776C42—734no—
1777C42—734no—
1778C42—734no—
1779C42—734no—
1780C42—734no—
1781C42—732no—
1782C42—734no—
1783C42—734no—
1784C42—731no—
1785C42—734no—
1786C42—732no—
1787C42—731no—
1788C42—732no—
1789C42C23×D7311yescharacteristic
1790C42C23×D7311yescharacteristic
1791C42C23×D7312yes—
1792C42C23×D7312yes—
1793C42C23×D7314yes—
1794C42C23×D7312yes—
1795C23—42no—
1796C23—44no—
1797C23—2921no—
1798C23—2924no—
1799C23—2922no—
1800C23—2924no—
1801C23—2924no—
1802C23—732no—
1803C23—734no—
1804C23—1464no—
1805C23—1468no—
1806C23C24×D7314yes—
1807C23C24×D7311yescharacteristic
1808C23C24×D7312yes—
1809C23C24×D7312yes—
1810Q8—42no—
1811Q8—42no—
1812Q8—41no—
1813Q8—41no—
1814Q8—2922no—
1815Q8—2924no—
1816Q8—2924no—
1817Q8—2924no—
1818Q8—2924no—
1819Q8—2922no—
1820D4—44no—
1821D4—44no—
1822D4—42no—
1823D4—44no—
1824D4—42no—
1825D4—42no—
1826D4—41no—
1827D4—42no—
1828D4—41no—
1829D4—44no—
1830D4—44no—
1831D4—2922no—
1832D4—2922no—
1833D4—2924no—
1834D4—2924no—
1835D4—2924no—
1836D4—2924no—
1837D4—2924no—
1838D4—2924no—
1839D4—2924no—
1840D4—1468no—
1841D4—1468no—
1842D4—1468no—
1843D4—1468no—
1844C2×C4—28no—
1845C2×C4—24no—
1846C2×C4—22no—
1847C2×C4—24no—
1848C2×C4—42no—
1849C2×C4—44no—
1850C2×C4—42no—
1851C2×C4—44no—
1852C2×C4—2922no—
1853C2×C4—2922no—
1854C2×C4—2924no—
1855C2×C4—2924no—
1856C2×C4—2922no—
1857C2×C4—2924no—
1858C2×C4—2924no—
1859C2×C4—2924no—
1860C2×C4—2924no—
1861C2×C4—2922no—
1862C2×C4—2921no—
1863C2×C4—2924no—
1864C2×C4—2922no—
1865C2×C4—2924no—
1866C2×C4—2924no—
1867C2×C4—2924no—
1868C2×C4—2924no—
1869C2×C4—2924no—
1870C2×C4—732no—
1871C2×C4—732no—
1872C2×C4—734no—
1873C2×C4—734no—
1874C2×C4—734no—
1875C2×C4—732no—
1876C2×C4—734no—
1877C2×C4—734no—
1878C2×C4—1464no—
1879C2×C4—1464no—
1880C2×C4—1468no—
1881C2×C4—1464no—
1882C2×C4—1468no—
1883C2×C4C24×D7312yes—
1884C2×C4C24×D7314yes—
1885C2×C4C24×D7311yescharacteristic
1886C2×C4C24×D7312yes—
1887C2×C4C24×D7312yes—
1888C2×C4C24×D7312yes—
1889C2×C4C24×D7314yes—
1890C2×C4C24×D7314yes—
1891C2×C4C24×D7311yescharacteristic
1892C22—22no—
1893C22—24no—
1894C22—24no—
1895C22—24no—
1896C22—24no—
1897C22—24no—
1898C22—22no—
1899C22—21no—
1900C22—22no—
1901C22—84no—
1902C22—2924no—
1903C22—5844no—
1904C22—5848no—
1905C22—734no—
1906C22—1464no—
1907C22—1464no—
1908C22—1464no—
1909C22—1462no—
1910C22—1462no—
1911C22C25×D7311yescharacteristic
1912C4—24no—
1913C4—22no—
1914C4—22no—
1915C4—24no—
1916C4—24no—
1917C4—22no—
1918C4—21no—
1919C4—22no—
1920C4—1462no—
1921C4—1464no—
1922C4—1464no—
1923C4—1464no—
1924C4—1462no—
1925C4—1464no—
1926C4—1462no—
1927C4—1464no—
1928C4#1798942212yes—
1929C2—44no—
1930C2—42no—
1931C2—41no—
1932C2—42no—
1933C2—2924no—
1934C2—1464no—
1935C2#585×D7312yes—
1936C2C2×#1798942211yescharacteristic
subgroupG/H
centerC2×C4C24×D73
commutator, socle, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC73×#3529C2
hypercenter#3529D73
hypocenterC73#62755
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ #3529

Complements

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

NH ≅ G/Ntype
1. #22624604C2semidirect
2. #22624588C2semidirect
3. #22624553C2semidirect
4. #22624481C2semidirect
5. #22624386C2semidirect
6. #22624382C2semidirect
7. #22624286C2semidirect
8. #22624281C2semidirect
9. #22624131C2semidirect
10. #22624112C2semidirect
11. #22624076C2semidirect
12. #22624067C2semidirect
13. #22623539C2semidirect
14. #22623533C2semidirect
15. #22623491C2semidirect
16. #22623483C2semidirect
17. #22623356C2semidirect
18. #22623338C2semidirect
19. #22623320C2semidirect
20. #22623319C2semidirect
21. #22623226C2semidirect
22. #529×D73C2semidirect
23. C73×#3529C2semidirect
24. C73⋊#564C22semidirect
25. #17989341C22semidirect
26. #17989340C22semidirect
27. #17989339C22semidirect
28. #17989339C22semidirect
29. #17989338C22semidirect
30. #17989337C22semidirect
31. #17989337C22semidirect
32. #17989336C22semidirect
33. #17989334C22semidirect
34. #17989332C22semidirect
35. #17989332C22semidirect
36. #17989331C22semidirect
37. #17989331C22semidirect
38. #17989329C22semidirect
39. #17989325C22semidirect
40. #17989324C22semidirect
41. #17989323C22semidirect
42. #17989321C22semidirect
43. #17989308C22semidirect
44. #17989304C22semidirect
45. #17989301C22semidirect
46. #17989299C22semidirect
47. #17989298C22semidirect
48. #17989295C22semidirect
49. #17989291C22semidirect
50. #17989291C22semidirect
51. #17989289C22semidirect
52. #17989288C22semidirect
53. #17989284C22semidirect
54. #17989284C22semidirect
55. #17989284C22semidirect
56. #17989282C22semidirect
57. #17989280C22semidirect
58. #17989280C22semidirect
59. #17989279C22semidirect
60. #17989274C22semidirect
61. #17989274C22semidirect
62. #17989274C22semidirect
63. #17989273C22semidirect
64. #17989271C22semidirect
65. #17989269C22semidirect
66. #17989269C22semidirect
67. #17989268C22semidirect
68. #17989268C22semidirect
69. #17989268C22semidirect
70. #17989267C22semidirect
71. #17989267C22semidirect
72. #17989267C22semidirect
73. #17989267C22semidirect
74. #17989265C22semidirect
75. #17989264C22semidirect
76. #17989264C22semidirect
77. #17989262C22semidirect
78. #17989260C22semidirect
79. #17989260C22semidirect
80. #17989260C22semidirect
81. #17989237C22semidirect
82. #17989235C22semidirect
83. #17989234C22semidirect
84. #17989234C22semidirect
85. #17989229C22semidirect
86. #17989226C22semidirect
87. #17989226C22semidirect
88. #17989224C22semidirect
89. #17989224C22semidirect
90. #17989224C22semidirect
91. #17989222C22semidirect
92. #17989219C22semidirect
93. #17989217C22semidirect
94. #17989212C22semidirect
95. #17989210C22semidirect
96. #17989206C22semidirect
97. #17989206C22semidirect
98. #17989206C22semidirect
99. #17989205C22semidirect
100. #17989205C22semidirect
101. #17989204C22semidirect
102. #17989204C22semidirect
103. #17989200C22semidirect
104. #17989198C22semidirect
105. #17989197C22semidirect
106. #17989197C22semidirect
107. #17989194C22semidirect
108. #17989194C22semidirect
109. #17989191C22semidirect
110. #17989190C22semidirect
111. #17989186C22semidirect
112. #17989183C22semidirect
113. #17989183C22semidirect
114. #17989182C22semidirect
115. #17989182C22semidirect
116. #17989182C22semidirect
117. #17989181C22semidirect
118. #17989181C22semidirect
119. #17989180C22semidirect
120. #17989180C22semidirect
121. #17989180C22semidirect
122. #17989180C22semidirect
123. #17989178C22semidirect
124. #17989178C22semidirect
125. #17989174C22semidirect
126. #17989174C22semidirect
128. #17989173C22semidirect
129. #17989172C22semidirect
130. #17989172C22semidirect
131. #17989172C22semidirect
132. #17989172C22semidirect
133. #17989169C22semidirect
134. #17989169C22semidirect
136. #17989160C22semidirect
137. #17989157C22semidirect
138. #17989147C22semidirect
139. #17989147C22semidirect
140. #17989145C22semidirect
141. #17989144C22semidirect
142. #17989144C22semidirect
143. #17989142C22semidirect
144. #17989141C22semidirect
145. #17989140C22semidirect
146. #17989140C22semidirect
147. #17989135C22semidirect
148. #17989133C22semidirect
149. #17989124C22semidirect
150. #17989123C22semidirect
151. #17989122C22semidirect
152. #17989121C22semidirect
153. #17989120C22semidirect
154. #17989119C22semidirect
155. #17989119C22semidirect
156. #17989119C22semidirect
157. #17989119C22semidirect
158. #17989119C22semidirect
159. #17989118C22semidirect
160. #17989118C22semidirect
161. #17989117C22semidirect
162. #17989117C22semidirect
163. #17989117C22semidirect
164. #17989117C22semidirect
165. #17989117C22semidirect
166. #17989117C22semidirect
167. #17989117C22semidirect
168. #17989116C22semidirect
169. #17989116C22semidirect
170. #17989116C22semidirect
171. #17989115C22semidirect
172. #17989115C22semidirect
173. #17989115C22semidirect
174. #17989114C22semidirect
175. #126×D73C22semidirect
176. #125×D73C22semidirect
177. #124×D73C22semidirect
178. #17989098C22semidirect
179. #17989097C22semidirect
180. #17989096C22semidirect
181. #17989096C22semidirect
182. #17989094C22semidirect
183. #17989094C22semidirect
184. #17989094C22semidirect
185. #17989094C22semidirect
186. #17989094C22semidirect
187. #123×D73C22semidirect
188. C22⋊Q8×D73C22semidirect
190. #41×Dic73C22semidirect
191. #41×Dic73C22semidirect
192. #41×Dic73C22semidirect
193. C4×#11924028C22semidirect
194. #17989055C22semidirect
195. C4×#11924027C22semidirect
196. C4×#11924027C22semidirect
197. C4×Q8×D73C22semidirect
198. C2×C4×C22⋊D73C22semidirect
199. C4×D4×D73C22semidirect
200. C4×D4×D73C22semidirect
201. C4×D4×D73C22semidirect
202. C2×#14556550C22semidirect
203. C2×#14556548C22semidirect
204. #117×D73C22semidirect
205. C2×C42×D73C22semidirect
206. #563×C73C22semidirect
207. #563×C73C22semidirect
208. #562×C73C22semidirect
209. #562×C73C22semidirect
210. H(3,𝔽4)×C73C22semidirect
211. #560×C73C22semidirect
212. #560×C73C22semidirect
213. #532×C73C22semidirect
214. #532×C73C22semidirect
215. #529×C73C22semidirect
216. #529×C73C22semidirect
217. #525×C73C22semidirect
218. #525×C73C22semidirect
981. #3529D73semidirect
992. C73#62755semidirect
1002. #563C2×D73semidirect
1003. #563C2×D73semidirect
1009. #562C2×D73semidirect
1010. #562C2×D73semidirect
1012. H(3,𝔽4)C2×D73semidirect
1015. #560C2×D73semidirect
1016. #560C2×D73semidirect
1125. #532C2×D73semidirect
1126. #532C2×D73semidirect
1153. #529C2×D73semidirect
1154. #529C2×D73semidirect
1167. #525C2×D73semidirect
1168. #525C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226246042
#226245882
#226245532
#226244812
#226243862
#226243822
#226242862
#226242812
#226241312
#226241122
#226240762
#226240672
#226235392
#226235332
#226234912
#226234832
#226233562
#226233382
#226233202
#226233192
#226232262
#529×D732
C73×#35292
#6275573