Finite Group Databasebeta

← #33994132

Subgroups — #33994132

Order 18688.

7230 conjugacy classes of subgroups.

The subgroup lattice has 1778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624003C214yesmaximal, complemented
2#22623993C214yesmaximal, complemented
3#22623911C212yesmaximal, complemented
4#22623904C212yesmaximal, complemented
5#22623894C212yesmaximal, complemented
6#22623887C212yesmaximal, complemented
7#22623798C211yesmaximal, characteristic, complemented
8#22623793C211yesmaximal, characteristic, complemented
9#22623759C214yesmaximal, complemented
10#22623732C211yesmaximal, characteristic, complemented
11#22623693C211yesmaximal, characteristic, complemented
12#22623648C212yesmaximal, complemented
13#22623623C214yesmaximal, complemented
14#22623573C212yesmaximal, complemented
15#22623553C212yesmaximal, complemented
16#22623549C212yesmaximal, complemented
17#22623541C212yesmaximal, complemented
18#22623539C212yesmaximal, complemented
19#22623495C214yesmaximal, complemented
20#22623487C214yesmaximal, complemented
21#22623358C212yesmaximal, complemented
22#22623338C214yesmaximal, complemented
23#22623227C211yesmaximal, characteristic, complemented
24#529×D73C214yesmaximal, complemented
25C4×#14556637C212yesmaximal, complemented
26C2×C4×#11924028C211yesmaximal, characteristic, complemented
27C73×#3444C211yesmaximal, characteristic, complemented
28C2×#14556637C2212yes—
29C22×#11924028C2211yescharacteristic
30#17989323C2212yescomplemented
31#17989322C2212yescomplemented
32#17989316C2212yescomplemented
33#17989312C2212yescomplemented
34#17989311C2212yescomplemented
35#17989310C2214yescomplemented
36#17989308C2214yescomplemented
37#17989307C2214yescomplemented
38#17989307C2212yescomplemented
39#17989306C2214yescomplemented
40#17989302C2214yescomplemented
41#17989301C2214yescomplemented
42#17989298C2212yescomplemented
43#17989298C2212yescomplemented
44#17989297C2214yescomplemented
45#17989297C2212yescomplemented
46#17989294C2212yescomplemented
47#17989293C2214yescomplemented
48#17989287C2218yescomplemented
49#17989284C2214yescomplemented
50#17989284C2214yescomplemented
51#17989283C2214yescomplemented
52#17989282C2218yescomplemented
53#17989281C2214yescomplemented
54#17989278C2218yescomplemented
55#17989277C2214yescomplemented
56#17989277C2214yescomplemented
57#17989276C2214yescomplemented
58#17989276C2218yescomplemented
59#17989275C2214yescomplemented
60#17989273C2218yescomplemented
61#17989271C2214yescomplemented
62#17989271C2214yescomplemented
63#17989269C2218yescomplemented
64#17989267C2218yescomplemented
65#17989266C2218yescomplemented
66#17989266C2218yescomplemented
67#17989265C2218yescomplemented
68#17989262C2218yescomplemented
69#17989261C2218yescomplemented
70Q8×D292C2212yescomplemented
71#17989252C2212yescomplemented
72#17989247C2214yescomplemented
73#17989244C2214yescomplemented
74#17989242C2214yescomplemented
75#17989242C2214yescomplemented
76#17989242C2212yescomplemented
77#17989240C2212yescomplemented
78#17989239C2214yescomplemented
79#17989239C2214yescomplemented
80#17989234C2214yescomplemented
81#17989234C2214yescomplemented
82#17989234C2214yescomplemented
83#17989233C2214yescomplemented
84#17989233C2214yescomplemented
85#17989233C2214yescomplemented
86#17989230C2214yescomplemented
87#17989225C2214yescomplemented
88D4×D292C2212yescomplemented
89#17989222C2212yescomplemented
90#17989215C2212yescomplemented
91#17989212C2214yescomplemented
92#17989208C2214yescomplemented
93#17989202C2214yescomplemented
94#17989199C2214yescomplemented
95#17989195C2214yescomplemented
96#17989186C2214yescomplemented
97#17989183C2218yescomplemented
98#17989182C2214yescomplemented
99#17989180C2218yescomplemented
100#17989179C2218yescomplemented
101#17989173C2218yescomplemented
102#17989172C2218yescomplemented
103#17989169C2218yescomplemented
104#17989165C2212yes—
105#17989163C2212yescomplemented
106#17989158C2212yescomplemented
107#17989147C2218yescomplemented
108#17989145C2214yes—
109#17989144C2214yescomplemented
110#17989144C2211yescharacteristic, complemented
111#17989144C2211yescharacteristic, complemented
112#17989144C2211yescharacteristic, complemented
113#17989141C2214yescomplemented
114#17989137C2211yescharacteristic
115#17989137C2211yescharacteristic, complemented
116#17989137C2211yescharacteristic, complemented
117#17989124C2214yescomplemented
118#17989123C2214yescomplemented
119#17989122C2214yescomplemented
120#17989121C2212yescomplemented
121#17989121C2212yescomplemented
122#17989121C2214yescomplemented
123#17989121C2212yescomplemented
124#17989121C2212yescomplemented
125#17989121C2212yescomplemented
126#17989121C2212yescomplemented
127#17989120C2218yescomplemented
128#17989119C2214yescomplemented
129#17989119C2214yescomplemented
130#17989119C2218yescomplemented
131#17989118C2214yescomplemented
132#17989117C2218yescomplemented
133#17989116C2214yescomplemented
134#17989115C2218yescomplemented
135#17989115C2218yescomplemented
136#17989114C2218yescomplemented
137#126×D73C2218yescomplemented
138#125×D73C2214yescomplemented
139#124×D73C2214yescomplemented
140#17989098C2212yescomplemented
141#17989098C2212yescomplemented
142#17989098C2212yescomplemented
143#17989096C2218yescomplemented
144#17989094C2218yescomplemented
145#123×D73C2218yescomplemented
146C22⋊Q8×D73C2214yescomplemented
147#121×D73C2214yes—
148#17989070C2212yescomplemented
149#17989069C2214yescomplemented
150#17989067C2214yescomplemented
151#17989067C2212yescomplemented
152#17989061C2212yes—
153#17989061C2214yescomplemented
154#17989059C2218yescomplemented
155#17989059C2214yescomplemented
156C4×#11924029C2214yescomplemented
157C4×#11924028C2212yescomplemented
158C4×#11924028C2212yescomplemented
159C4×#11924028C2214yescomplemented
160C4×#11924028C2212yescomplemented
161C4×#11924028C2212yescomplemented
162C4×#11924028C2212yescomplemented
163C4×#11924028C2212yescomplemented
164C4×#11924028C2212yescomplemented
165C4×#11924028C2212yescomplemented
166C4×#11924028C2212yescomplemented
167C4×#11924028C2212yescomplemented
168C4×#11924028C2212yescomplemented
169C2×C4×Dic146C2211yescharacteristic, complemented
170C2×C4×Dic146C2211yescharacteristic, complemented
171C4×Q8×D73C2214yescomplemented
172C2×C4×D292C2211yescharacteristic
173C2×C4×D292C2211yescharacteristic
174C2×C4×D292C2214yescomplemented
175C2×C4×C22⋊D73C2212yescomplemented
176C2×C4×C22⋊D73C2212yescomplemented
177C4×D4×D73C2214yescomplemented
178C4×D4×D73C2214yescomplemented
179C4×D4×D73C2218yescomplemented
180C2×#14556550C2211yescharacteristic, complemented
181C2×#14556548C2212yescomplemented
182#117×D73C2218yescomplemented
183C2×C42×D73C2212yescomplemented
184#533×C73C2211yescharacteristic, complemented
185#533×C73C2211yescharacteristic, complemented
186#533×C73C2211yescharacteristic, complemented
187#532×C73C2211yescharacteristic
188#532×C73C2211yescharacteristic, complemented
189#532×C73C2211yescharacteristic, complemented
190#529×C73C2212yescomplemented
191#529×C73C2212yescomplemented
192#529×C73C2212yescomplemented
193#529×C73C2212yescomplemented
194#529×C73C2212yescomplemented
195#529×C73C2212yescomplemented
196#525×C73C2212yescomplemented
197#525×C73C2212yescomplemented
198#525×C73C2212yescomplemented
199C4×#41×C73C2212yescomplemented
200C4×#41×C73C2212yescomplemented
201C4×#41×C73C2212yescomplemented
202C22×C42×C73C2211yescharacteristic, complemented
203#14556637—216no—
204C2×#11924029C2314yes—
205C2×#11924028—28no—
206C2×#11924028C2312yes—
207C2×#11924028C2312yes—
208C2×#11924028C2312yes—
209C2×#11924028C2312yes—
210C2×#11924028C2312yes—
211C2×#11924028C2314yes—
212C2×#11924028C2312yes—
213C2×#11924028C2312yes—
214C22×Dic146C2311yescharacteristic
215C2×Q8×D73C2314yes—
216C22×D292C2314yes—
217C22×D292C2311yescharacteristic
218C22×C22⋊D73C2312yes—
219C2×D4×D73C2318yes—
220C2×D4×D73C2314yes—
221C2×D4×D73C2314yes—
222C22×C4×D73C2312yes—
223C22×C4×D73C2312yes—
224C22×C4×D73C2312yes—
225C22×C4×D73C2318yes—
226#14556591C2311yescharacteristic
227#14556591C2311yescharacteristic
228#14556591C2311yescharacteristic
229#14556591C2314yes—
230#14556591C2314yes—
231#14556590C2314yes—
232#14556589C2314yes—
233#14556588C2311yescharacteristic
234#14556586C2318yes—
235#14556586C2318yes—
236#14556586C2318yes—
237#14556586C2318yes—
238#14556585C2314yes—
239#14556585C2314yes—
240#14556585C2318yes—
241#14556584C2318yes—
242#14556584C2318yes—
243#14556584C2318yes—
244#14556584C2318yes—
245#14556584C2318yes—
246#14556584C2318yes—
247#14556584C2318yes—
248#14556583C2312yes—
249#14556583C2312yes—
250#14556583C2312yes—
251#14556583C2314yes—
252#14556583C2318yes—
253#14556582C2314yes—
254#14556582C2314yes—
255#14556582C2318yes—
256#14556582C2314yes—
257#14556581C2318yes—
258#14556581C2318yes—
259#14556581C2318yes—
260#14556581C2318yes—
261#14556580C2314yes—
262#14556579C2312yes—
263#14556579C2312yes—
264#14556579C2312yes—
265#14556579C2314yes—
266#14556578C2314yes—
267#14556578C2318yes—
268#14556578C2314yes—
269#14556577C2318yes—
270#14556577C2318yes—
271#14556577C2318yes—
272#14556576C2318yes—
273#14556576C2318yes—
274#14556576C2318yes—
275#14556576C2318yes—
276#14556575C2318yes—
277#14556574C2314yes—
278#14556574C2314yes—
279#14556574C2314yes—
280#14556574C2318yes—
281#14556573C2318yes—
282#14556573C2318yes—
283#14556573C2318yes—
284#14556573C2318yes—
285#14556573C2318yes—
286#14556573C2318yes—
287#14556573C2318yes—
288#14556572C2318yes—
289#14556572C2318yes—
290#14556572C2318yes—
291#14556571C2314yes—
292#14556571C2314yes—
293#14556571C2314yes—
294#14556571C2318yes—
295#14556570C2312yes—
296#14556570C2312yes—
297#14556570C2312yes—
298#14556570C2312yes—
299#14556570C2312yes—
300#14556570C2312yes—
301#14556570C2314yes—
302#14556570C2314yes—
303#14556570C2314yes—
304#14556570C2318yes—
305#14556569C2318yes—
306#14556569C2318yes—
307#14556569C2318yes—
308#14556569C2318yes—
309#14556568C2318yes—
310#14556568C2318yes—
311#14556567C2314yes—
312#14556567C2314yes—
313#14556567C2318yes—
314#14556567C2318yes—
315#14556566C2314yes—
316#14556565C2312yes—
317#14556565C2312yes—
318#14556565C2312yes—
319#14556565C2312yes—
320#14556565C2312yes—
321#14556565C2312yes—
322#14556565C2314yes—
323#14556564C2318yes—
324#14556564C2318yes—
325#14556564C2318yes—
326#14556563C2318yes—
327#14556563C2318yes—
328#14556562C2318yes—
329#14556562C2318yes—
330#14556562C2314yes—
331#14556562C2318yes—
332#14556562C2314yes—
333#14556561C2318yes—
334#14556560C2314yes—
335#14556559C2318yes—
336#14556559C2318yes—
337#14556559C2318yes—
338Q8×Dic73C2314yes—
339Q8×Dic73C2314yes—
340C4×Dic146C2312yes—
341C4×Dic146C2312yes—
342C4×Dic146C2312yes—
343C4×Dic146C2312yes—
344C4×Dic146C2312yes—
345C4×Dic146C2312yes—
346C4×Dic146C2312yes—
347C4×Dic146C2312yes—
348C4×Dic146C2318yes—
349C4×Dic146C2312yes—
350C4×Dic146C2312yes—
351C4×Dic146C2312yes—
352C4×Dic146C2312yes—
353C4×Dic146C2314yes—
354C4×Dic146C2312yes—
355C4×Dic146C2312yes—
356#14556556C2318yes—
357#14556556C2314yes—
358C4×D292C2312yes—
359C4×D292C2312yes—
360C4×D292C2312yes—
361C4×D292C2312yes—
362C4×D292C2312yes—
363C4×D292C2312yes—
364C4×D292C2318yes—
365C4×D292C2312yes—
366C4×D292C2312yes—
367C4×D292C2312yes—
368C4×D292C2312yes—
369C4×D292C2314yes—
370C4×D292C2314yes—
371C4×D292C2318yes—
372C4×D292C2314yes—
373C4×D292C2312yes—
374C4×D292C2312yes—
375C4×D292C2312yes—
376C4×D292C2312yes—
377D4×Dic73C2318yes—
378D4×Dic73C2314yes—
379D4×Dic73C2314yes—
380#14556553C2318yes—
381#14556553C2314yes—
382#14556553C2314yes—
383#14556553C2314yes—
384#14556553C2318yes—
385C4×C22⋊D73C2314yes—
386C4×C22⋊D73C2314yes—
387C4×C22⋊D73C2314yes—
388C4×C22⋊D73C2314yes—
389C4×C22⋊D73C2314yes—
390C4×C22⋊D73C2318yes—
391C4×C22⋊D73C2314yes—
392C4×C22⋊D73C2314yes—
393C4×C22⋊D73C2314yes—
394C4×C22⋊D73C2314yes—
395C4×C22⋊D73C2314yes—
396C4×C22⋊D73C2318yes—
397C4×C22⋊D73C2314yes—
398C4×C22⋊D73C2314yes—
399C4×C22⋊D73C2318yes—
400C4×C22⋊D73C2314yes—
401C4×C22⋊D73C2314yes—
402#14556551C2318yes—
403#14556551C2318yes—
404#14556551C2318yes—
405#14556551C2318yes—
406#14556550C2312yes—
407#14556550C2312yes—
408#14556550C2318yes—
409#14556550C2312yes—
410#14556550C2312yes—
411#14556550C2312yes—
412#14556550C2314yes—
413#14556550C2312yes—
414#14556550C2312yes—
415#14556549C2318yes—
416#14556549C2318yes—
417#14556549C2318yes—
418#14556549C2314yes—
419#14556548C2314yes—
420#14556548C2314yes—
421#14556548C2314yes—
422#14556548C2318yes—
423#14556548C2314yes—
424#14556548C2314yes—
425#14556548C2314yes—
426#14556548C2318yes—
427#14556548C2314yes—
428#14556547C2318yes—
429#14556547C2318yes—
430C2×C4⋊Dic73C2311yescharacteristic
431C2×C4⋊Dic73C2314yes—
432C2×C4⋊Dic73C2311yescharacteristic
433C2×#11924007C2312yes—
434C2×#11924007C2312yes—
435C4⋊C4×D73C2318yes—
436C4⋊C4×D73C2318yes—
437C4⋊C4×D73C2318yes—
438C4⋊C4×D73C2314yes—
439C4⋊C4×D73C2314yes—
440C4⋊C4×D73C2314yes—
441C4⋊C4×D73C2318yes—
442C2×C22⋊Dic73C2312yes—
443C2×#11924005C2312yes—
444C2×#11924005C2318yes—
445C2×#11924005C2312yes—
446C22⋊C4×D73C2318yes—
447C22⋊C4×D73C2318yes—
448C22⋊C4×D73C2318yes—
449C22⋊C4×D73C2318yes—
450C22⋊C4×D73C2318yes—
451C22⋊C4×D73C2318yes—
452C2×C4×Dic73C2312yes—
453C2×C4×Dic73C2312yes—
454C2×C4×Dic73C2312yes—
455C42×D73C2314yes—
456C42×D73C2314yes—
457C42×D73C2314yes—
458C42×D73C2314yes—
459C42×D73C2314yes—
460C42×D73C2318yes—
461C2×#41×C73C2312yes—
462C2×#41×C73C2312yes—
463C2×#41×C73C2312yes—
464C23×C4×C73C2311yescharacteristic
465C23×C4×C73C2311yescharacteristic
466C23×C4×C73C2311yescharacteristic
467C4⋊Q8×C73C2311yescharacteristic
468C4⋊Q8×C73C2311yescharacteristic
469C4⋊Q8×C73C2311yescharacteristic
470#127×C73C2311yescharacteristic
471#126×C73C2314yes—
472#126×C73C2314yes—
473#125×C73C2312yes—
474#125×C73C2312yes—
475#125×C73C2312yes—
476#124×C73C2312yes—
477#124×C73C2312yes—
478#124×C73C2312yes—
479#123×C73C2314yes—
480#123×C73C2314yes—
481#123×C73C2314yes—
482C22⋊Q8×C73C2312yes—
483C22⋊Q8×C73C2312yes—
484C22⋊Q8×C73C2312yes—
485C22⋊Q8×C73C2312yes—
486C22⋊Q8×C73C2312yes—
487C22⋊Q8×C73C2312yes—
488#121×C73C2312yes—
489#121×C73C2312yes—
490#121×C73C2312yes—
491#121×C73C2312yes—
492#121×C73C2312yes—
493#121×C73C2312yes—
494#120×C73C2314yes—
495C4×Q8×C73C2312yes—
496C4×Q8×C73C2312yes—
497C4×Q8×C73C2312yes—
498C4×Q8×C73C2312yes—
499C4×Q8×C73C2312yes—
500C4×Q8×C73C2312yes—
501C4×D4×C73C2314yes—
502C4×D4×C73C2312yes—
503C4×D4×C73C2312yes—
504C4×D4×C73C2312yes—
505C4×D4×C73C2314yes—
506C4×D4×C73C2314yes—
507C4×D4×C73C2312yes—
508C4×D4×C73C2314yes—
509C4×D4×C73C2314yes—
510C4×D4×C73C2314yes—
511C4×D4×C73C2312yes—
512C4×D4×C73C2312yes—
513#117×C73C2312yes—
514#117×C73C2314yes—
515#117×C73C2314yes—
516#117×C73C2312yes—
517#117×C73C2312yes—
518#117×C73C2314yes—
519C2×C42×C73C2311yescharacteristic
520C2×C42×C73C2311yescharacteristic
521C2×C42×C73C2311yescharacteristic
522C2×C42×C73C2311yescharacteristic
523C2×C42×C73C2311yescharacteristic
524C2×C42×C73C2311yescharacteristic
525C2×C42×C73C2314yes—
526C2×C42×C73C2311yescharacteristic
527C2×C42×C73C2311yescharacteristic
528C2×C42×C73C2311yescharacteristic
529C2×C42×C73C2311yescharacteristic
530C2×C42×C73C2311yescharacteristic
531C2×C42×C73C2311yescharacteristic
532C23×D73C2418yes—
533C23×D73C2412yes—
534#11924029—216no—
535#11924028—28no—
536#11924028—28no—
537#11924028—28no—
538#11924028—28no—
539#11924028—28no—
540#11924028—216no—
541#11924028—44no—
542#11924028—44no—
543C2×Dic146—24no—
544C2×Dic146C2412yes—
545C2×Dic146C2412yes—
546C2×Dic146C2412yes—
547C2×Dic146C2412yes—
548C2×Dic146C2418yes—
549C2×Dic146C2412yes—
550Q8×D73—48no—
551C2×D292—216no—
552C2×D292#4118yescomplemented
553C2×D292C2418yes—
554C2×D292C2412yes—
555C2×D292C2412yes—
556C2×D292C2412yes—
557C2×D292C2412yes—
558C2×D292C2412yes—
559C2×C22⋊D73—28no—
560C2×C22⋊D73C2418yes—
561C2×C22⋊D73C2414yes—
562C2×C22⋊D73C2414yes—
563C2×C22⋊D73C2414yes—
564C2×C22⋊D73C2418yes—
565C2×C22⋊D73C2414yes—
566C2×C22⋊D73C2414yes—
567D4×D73—232no—
568D4×D73—216no—
569D4×D73—48no—
570C22×Dic73C2412yes—
571C22×Dic73C2412yes—
572C22×Dic73C2412yes—
573C22×Dic73C2418yes—
574C2×C4×D73—28no—
575C2×C4×D73—44no—
576C2×C4×D73—416no—
577C2×C4×D73—44no—
578C2×C4×D73C2414yes—
579C2×C4×D73C2414yes—
580C2×C4×D73C2414yes—
581C2×C4×D73C2414yes—
582C2×C4×D73C2418yes—
583C2×C4×D73C2414yes—
584C2×C4×D73C2414yes—
585C2×C4×D73C2414yes—
586C2×C4×D73C2414yes—
587C2×C4×D73C2418yes—
588C2×C4×D73C2414yes—
589C2×C4×D73C2418yes—
590C2×C4×D73C2418yes—
591C4⋊Dic73C2412yes—
592C4⋊Dic73C2412yes—
593C4⋊Dic73C2412yes—
594C4⋊Dic73C2418yes—
595C4⋊Dic73C2418yes—
596C4⋊Dic73C2418yes—
597C4⋊Dic73C2418yes—
598C4⋊Dic73C2412yes—
599C4⋊Dic73C2412yes—
600C4⋊Dic73C2412yes—
601C4⋊Dic73C2412yes—
602C4⋊Dic73C2412yes—
603C4⋊Dic73C2412yes—
604C4⋊Dic73C2412yes—
605#11924007C2414yes—
606#11924007C2414yes—
607#11924007C2418yes—
608#11924007C2414yes—
609#11924007C2414yes—
610#11924007C2418yes—
611#11924007C2418yes—
612#11924007C2418yes—
613#11924007C2418yes—
614#11924007C2418yes—
615#11924007C2414yes—
616#11924007C2414yes—
617#11924007C2414yes—
618#11924007C2414yes—
619#11924007C2414yes—
620#11924007C2414yes—
621C22⋊Dic73C2414yes—
622C22⋊Dic73C2418yes—
623C22⋊Dic73C2418yes—
624C22⋊Dic73C2418yes—
625C22⋊Dic73C2418yes—
626C22⋊Dic73C2414yes—
627C22⋊Dic73C2414yes—
628C22⋊Dic73C2414yes—
629C22⋊Dic73C2414yes—
630#11924005C2414yes—
631#11924005C2414yes—
632#11924005C2414yes—
633#11924005C2414yes—
634#11924005C2418yes—
635#11924005C2414yes—
636#11924005C2418yes—
637#11924005C2418yes—
638#11924005C2418yes—
639#11924005C2418yes—
640#11924005C2418yes—
641#11924005C2414yes—
642#11924005C2414yes—
643#11924005C2414yes—
644#11924005C2414yes—
645#11924005C2414yes—
646C4×Dic73C2414yes—
647C4×Dic73C2414yes—
648C4×Dic73C2414yes—
649C4×Dic73C2414yes—
650C4×Dic73C2414yes—
651C4×Dic73C2414yes—
652C4×Dic73C2414yes—
653C4×Dic73C2418yes—
654C4×Dic73C2418yes—
655C4×Dic73C2414yes—
656C4×Dic73C2414yes—
657C24×C73C2411yescharacteristic
658#41×C73—28no—
659#41×C73—44no—
660#41×C73—44no—
661C2×Q8×C73C2412yes—
662C2×Q8×C73C2412yes—
663C2×Q8×C73C2412yes—
664C2×D4×C73C2414yes—
665C2×D4×C73C2412yes—
666C2×D4×C73C2412yes—
667C2×D4×C73C2414yes—
668C2×D4×C73C2414yes—
669C2×D4×C73C2412yes—
670C22×C4×C73—24no—
671C22×C4×C73—42no—
672C22×C4×C73—42no—
673C22×C4×C73C2411yescharacteristic
674C22×C4×C73C2411yescharacteristic
675C22×C4×C73C2411yescharacteristic
676C22×C4×C73C2411yescharacteristic
677C22×C4×C73C2411yescharacteristic
678C22×C4×C73C2411yescharacteristic
679C22×C4×C73C2411yescharacteristic
680C22×C4×C73C2411yescharacteristic
681C22×C4×C73C2411yescharacteristic
682C22×C4×C73C2411yescharacteristic
683C22×C4×C73C2411yescharacteristic
684C22×C4×C73C2414yes—
685C22×C4×C73C2414yes—
686C22×C4×C73C2411yescharacteristic
687C22×C4×C73C2411yescharacteristic
688C22×C4×C73C2411yescharacteristic
689C22×C4×C73C2411yescharacteristic
690C22×C4×C73C2411yescharacteristic
691C22×C4×C73C2411yescharacteristic
692C22×C4×C73C2414yes—
693C22×C4×C73C2411yescharacteristic
694C4⋊C4×C73C2412yes—
695C4⋊C4×C73C2412yes—
696C4⋊C4×C73C2412yes—
697C4⋊C4×C73C2412yes—
698C4⋊C4×C73C2412yes—
699C4⋊C4×C73C2412yes—
700C4⋊C4×C73C2414yes—
701C4⋊C4×C73C2414yes—
702C4⋊C4×C73C2414yes—
703C4⋊C4×C73C2414yes—
704C4⋊C4×C73C2414yes—
705C4⋊C4×C73C2414yes—
706C22⋊C4×C73C2414yes—
707C22⋊C4×C73C2414yes—
708C22⋊C4×C73C2414yes—
709C22⋊C4×C73C2414yes—
710C22⋊C4×C73C2414yes—
711C22⋊C4×C73C2414yes—
712C22⋊C4×C73C2414yes—
713C22⋊C4×C73C2414yes—
714C22⋊C4×C73C2414yes—
715C42×C73C2411yescharacteristic
716C42×C73C2411yescharacteristic
717C42×C73C2411yescharacteristic
718C42×C73C2411yescharacteristic
719C42×C73C2411yescharacteristic
720C42×C73C2411yescharacteristic
721C42×C73C2411yescharacteristic
722C42×C73C2411yescharacteristic
723C42×C73C2411yescharacteristic
724C42×C73C2411yescharacteristic
725C42×C73C2411yescharacteristic
726C42×C73C2411yescharacteristic
727C42×C73C2411yescharacteristic
728C42×C73C2411yescharacteristic
729C42×C73C2411yescharacteristic
730C42×C73C2411yescharacteristic
731C42×C73C2414yes—
732C42×C73C2414yes—
733C42×C73C2414yes—
734C23×C73—22no—
735C23×C73—41no—
736C23×C73—41no—
737C23×C73C2514yes—
738C23×C73C2511yescharacteristic
739C23×C73C2511yescharacteristic
740C23×C73C2511yescharacteristic
741C22×D73—216no—
742C22×D73—42no—
743C22×D73—42no—
744C22×D73—48no—
745C22×D73—48no—
746C22×D73C2×#4118yes—
747C22×D73C2514yes—
748C22×D73C2514yes—
749Q8×C73—24no—
750Q8×C73—24no—
751Q8×C73—42no—
752D4×C73—28no—
753D4×C73—24no—
754D4×C73—24no—
755D4×C73—44no—
756D4×C73—44no—
757D4×C73—42no—
758C2×C4×C73—22no—
759C2×C4×C73—22no—
760C2×C4×C73—22no—
761C2×C4×C73—22no—
762C2×C4×C73—22no—
763C2×C4×C73—28no—
764C2×C4×C73—22no—
765C2×C4×C73—22no—
766C2×C4×C73—22no—
767C2×C4×C73—22no—
768C2×C4×C73—22no—
769C2×C4×C73—22no—
770C2×C4×C73—28no—
771C2×C4×C73—41no—
772C2×C4×C73—41no—
773C2×C4×C73—41no—
774C2×C4×C73—41no—
775C2×C4×C73—41no—
776C2×C4×C73—41no—
777C2×C4×C73—44no—
778C2×C4×C73C2×#4114yes—
779C2×C4×C73C2511yescharacteristic
780C2×C4×C73C2511yescharacteristic
781C2×C4×C73C2511yescharacteristic
782C2×C4×C73C2511yescharacteristic
783C2×C4×C73C2511yescharacteristic
784C2×C4×C73C2511yescharacteristic
785C2×C4×C73C2511yescharacteristic
786C2×C4×C73C2511yescharacteristic
787C2×C4×C73C2514yes—
788C2×C4×C73C2514yes—
789C2×C4×C73C2514yes—
790C2×C4×C73C2511yescharacteristic
791C2×C4×C73C2511yescharacteristic
792C2×C4×C73C2511yescharacteristic
793C2×C4×C73C2511yescharacteristic
794C22⋊D73—28no—
795C22⋊D73—216no—
796C22⋊D73—28no—
797C22⋊D73—28no—
798C22⋊D73—48no—
799C22⋊D73—44no—
800C22⋊D73—44no—
801C2×Dic73—24no—
802C2×Dic73—42no—
803C2×Dic73—48no—
804C2×Dic73—42no—
805C2×Dic73C2514yes—
806C2×Dic73C2514yes—
807C2×Dic73C2514yes—
808C2×Dic73C2514yes—
809C2×Dic73C2514yes—
810C2×Dic73C2514yes—
811D292—216no—
812D292—24no—
813D292—24no—
814D292—42no—
815D292C2×#4118yes—
816D292C2×#4118yes—
817C4×D73—28no—
818C4×D73—28no—
819C4×D73—216no—
820C4×D73—28no—
821C4×D73—28no—
822C4×D73—28no—
823C4×D73—28no—
824C4×D73—44no—
825C4×D73—48no—
826C4×D73—44no—
827C4×D73—48no—
828C4×D73—48no—
829C4×D73—44no—
830Dic146—24no—
831Dic146—24no—
832Dic146—24no—
833Dic146—24no—
834Dic146—48no—
835Dic146—42no—
836C22×C73—21no—
837C22×C73—21no—
838C22×C73—21no—
839C22×C73—21no—
840C22×C73—24no—
841C22×C73—24no—
842C22×C73—21no—
843C22×C73—21no—
844C22×C73—24no—
845C22×C73—21no—
846C22×C73—21no—
847C22×C73—44no—
848C22×C73C22×#4112yes—
849C22×C73C2611yescharacteristic
850C2×D73—24no—
851C2×D73—24no—
852C2×D73—24no—
853C2×D73—24no—
854C2×D73—24no—
855C2×D73—48no—
856C2×D73—816no—
857C2×D73C22×#4118yes—
858C4×C73—21no—
859C4×C73—21no—
860C4×C73—24no—
861C4×C73—24no—
862C4×C73—21no—
863C4×C73—21no—
864C4×C73—21no—
865C4×C73—21no—
866C4×C73—24no—
867C4×C73—21no—
868C4×C73—21no—
869C4×C73C22×#4112yes—
870C4×C73C22×#4112yes—
871C4×C73#58512yes—
872C4×C73#58512yes—
873Dic73—24no—
874Dic73—24no—
875Dic73—24no—
876Dic73—24no—
877Dic73—24no—
878Dic73—24no—
879#62781—731nomaximal, Sylow
880C2×C73—22no—
881C2×C73—44no—
882C2×C73—41no—
883C2×C73—41no—
884C2×C73C23×#4111yescharacteristic
885C2×C73C2×#58511yescharacteristic
886C2×C73C2×#58511yescharacteristic
887D73—28no—
888D73—44no—
889#3521—734no—
890#3521—734no—
891#3515—732no—
892#3515—732no—
893#3514—732no—
894#3514—732no—
895#3507—731no—
896#3507—731no—
897#3505—734no—
898#3501—731no—
899#3496—731no—
900#3493—732no—
901#3491—734no—
902#3485—732no—
903#3482—732no—
904#3482—732no—
905#3481—732no—
906#3481—732no—
907#3475—734no—
908#3475—734no—
909#3461—732no—
910#3459—734no—
911#3444—731no—
912#3444D7311yescharacteristic, complemented
913C2×#529—734no—
914C4×H(5,𝔽2)—732no—
915C2×C4×#41—731no—
916C73#6278111yescharacteristic, complemented, Sylow
917C2×H(5,𝔽2)—732no—
918C22×#41—731no—
919#559—732no—
920#559—732no—
921#557—732no—
922#557—732no—
923#556—732no—
924#556—734no—
925#556—734no—
926#556—734no—
927#556—734no—
928#556—732no—
929#555—734no—
930#555—734no—
931#554—732no—
932#554—732no—
933#554—734no—
934#554—734no—
935#554—732no—
936#554—732no—
937#553—738no—
938#553—734no—
939#553—734no—
940#553—738no—
941#553—734no—
942#553—734no—
943#552—738no—
944#552—734no—
945#552—738no—
946#552—734no—
947#552—734no—
948#552—738no—
949#552—734no—
950#552—734no—
951#552—738no—
952#552—734no—
953#551—738no—
954#551—738no—
955#551—738no—
956#551—738no—
957#551—738no—
958#551—738no—
959D4×Q8—732no—
960D4×Q8—732no—
961#548—734no—
962#548—734no—
963#547—732no—
964#547—734no—
965#547—734no—
966#547—734no—
967#547—734no—
968#547—732no—
969#546—734no—
970#546—734no—
971#546—734no—
972#546—734no—
973#546—734no—
974#546—734no—
975#546—734no—
976#546—734no—
977D42—732no—
978D42—732no—
979#544—732no—
980#543—734no—
981#542—734no—
982#542—734no—
983#541—734no—
984#541—734no—
985#539—738no—
986#539—738no—
987#539—734no—
988#539—734no—
989#539—738no—
990#538—738no—
991#538—738no—
992#538—738no—
993#537—732no—
994#536—732no—
995#536—732no—
996#534—734no—
997#534—738no—
998#533—734no—
999#533—731no—
1000#533—731no—
1001#533—731no—
1002#533—734no—
1003#533C2×D7311yescharacteristic, complemented
1004#533C2×D7311yescharacteristic, complemented
1005#533C2×D7311yescharacteristic, complemented
1006#532—731no—
1007#532—731no—
1008#532—731no—
1009#532C2×D7311yescharacteristic
1010#532C2×D7311yescharacteristic, complemented
1011#532C2×D7311yescharacteristic, complemented
1012#529—738no—
1013#529—734no—
1014#529—734no—
1015#529—738no—
1016#529—734no—
1017#529—734no—
1018#529—734no—
1019#529—738no—
1020#529—734no—
1021#529—738no—
1022#529—734no—
1023#529—738no—
1024#529—738no—
1025#529—732no—
1026#529—732no—
1027#529—732no—
1028#529—732no—
1029#529—732no—
1030#529—732no—
1031#529—734no—
1032#529C2×D7312yescomplemented
1033#529C2×D7312yescomplemented
1034#529C2×D7312yescomplemented
1035#529C2×D7312yescomplemented
1036#529C2×D7312yescomplemented
1037#529C2×D7312yescomplemented
1038C2×#126—738no—
1039C2×#125—734no—
1040C2×#124—734no—
1041#525—738no—
1042#525—732no—
1043#525—732no—
1044#525—732no—
1045#525—738no—
1046#525C2×D7312yescomplemented
1047#525C2×D7312yescomplemented
1048#525C2×D7312yescomplemented
1049C2×#123—738no—
1050C2×C22⋊Q8—734no—
1051C2×#121—734no—
1052#520—732no—
1053#520—734no—
1054#520—732no—
1055#520—734no—
1056#518—738no—
1057#518—734no—
1058#518—732no—
1059#518—734no—
1060C4×#41—734no—
1061C4×#41—732no—
1062C4×#41—732no—
1063C4×#41—732no—
1064C4×#41—732no—
1065C4×#41—732no—
1066C4×#41—732no—
1067C4×#41—732no—
1068C4×#41—732no—
1069C4×#41—732no—
1070C4×#41—734no—
1071C4×#41—732no—
1072C4×#41—732no—
1073C4×#41C2×D7312yescomplemented
1074C4×#41C2×D7312yescomplemented
1075C4×#41C2×D7312yescomplemented
1076C2×C4×Q8—734no—
1077C2×C4×Q8—731no—
1078C2×C4×Q8—731no—
1079C2×C4×D4—732no—
1080C2×C4×D4—732no—
1081C2×C4×D4—738no—
1082C2×C4×D4—734no—
1083C2×C4×D4—734no—
1084C2×C4×D4—731no—
1085C2×C4×D4—731no—
1086C2×C4×D4—734no—
1087C2×#117—731no—
1088C2×#117—738no—
1089C2×#117—732no—
1090C22×C42—732no—
1091C22×C42C2×D7311yescharacteristic, complemented
1092H(5,𝔽2)—14616no—
1093C2×#41—734no—
1094C2×#41—732no—
1095C2×#41—732no—
1096C2×#41—732no—
1097C2×#41—732no—
1098C2×#41—732no—
1099C2×#41—732no—
1100C2×#41—732no—
1101C2×#41—734no—
1102C2×#41—1468no—
1103C2×#41C22×D7312yes—
1104C2×#41C22×D7312yes—
1105C2×#41C22×D7312yes—
1106C22×Q8—734no—
1107C22×Q8—731no—
1108C22×D4—734no—
1109C22×D4—732no—
1110C22×D4—738no—
1111C22×D4—734no—
1112C22×D4—731no—
1113C22×D4—734no—
1114C23×C4—738no—
1115C23×C4—732no—
1116C23×C4—732no—
1117C23×C4—732no—
1118C23×C4C22×D7311yescharacteristic
1119C23×C4C22×D7311yescharacteristic
1120C23×C4C22×D7311yescharacteristic
1121C4⋊Q8—734no—
1122C4⋊Q8—734no—
1123C4⋊Q8—731no—
1124C4⋊Q8—731no—
1125C4⋊Q8—731no—
1126C4⋊Q8—734no—
1127C4⋊Q8—734no—
1128C4⋊Q8C22×D7311yescharacteristic
1129C4⋊Q8C22×D7311yescharacteristic
1130C4⋊Q8C22×D7311yescharacteristic
1131#127—731no—
1132#127C22×D7311yescharacteristic
1133#126—738no—
1134#126—738no—
1135#126—738no—
1136#126—738no—
1137#126—738no—
1138#126—738no—
1139#126—738no—
1140#126—738no—
1141#126—738no—
1142#126—738no—
1143#126—738no—
1144#126—734no—
1145#126—734no—
1146#126—738no—
1147#126C22×D7314yes—
1148#126C22×D7314yes—
1149#125—738no—
1150#125—738no—
1151#125—734no—
1152#125—734no—
1153#125—738no—
1154#125—738no—
1155#125—734no—
1156#125—738no—
1157#125—732no—
1158#125—732no—
1159#125—732no—
1160#125—734no—
1161#125—738no—
1162#125C22×D7312yes—
1163#125C22×D7312yes—
1164#125C22×D7312yes—
1165#124—734no—
1166#124—734no—
1167#124—734no—
1168#124—738no—
1169#124—738no—
1170#124—738no—
1171#124—738no—
1172#124—732no—
1173#124—732no—
1174#124—732no—
1175#124—734no—
1176#124C22×D7312yes—
1177#124C22×D7312yes—
1178#124C22×D7312yes—
1179#123—738no—
1180#123—738no—
1181#123—738no—
1182#123—734no—
1183#123—734no—
1184#123—734no—
1185#123—738no—
1186#123—738no—
1187#123—738no—
1188#123—738no—
1189#123—738no—
1190#123—738no—
1191#123—738no—
1192#123—738no—
1193#123—738no—
1194#123—738no—
1195#123—738no—
1196#123—738no—
1197#123—738no—
1198#123C22×D7314yes—
1199#123C22×D7314yes—
1200#123C22×D7314yes—
1201C22⋊Q8—734no—
1202C22⋊Q8—738no—
1203C22⋊Q8—738no—
1204C22⋊Q8—734no—
1205C22⋊Q8—732no—
1206C22⋊Q8—732no—
1207C22⋊Q8—732no—
1208C22⋊Q8—732no—
1209C22⋊Q8—732no—
1210C22⋊Q8—732no—
1211C22⋊Q8—734no—
1212C22⋊Q8—734no—
1213C22⋊Q8—734no—
1214C22⋊Q8—738no—
1215C22⋊Q8—734no—
1216C22⋊Q8—738no—
1217C22⋊Q8—738no—
1218C22⋊Q8—734no—
1219C22⋊Q8—738no—
1220C22⋊Q8—738no—
1221C22⋊Q8—734no—
1222C22⋊Q8—738no—
1223C22⋊Q8—738no—
1224C22⋊Q8—738no—
1225C22⋊Q8C22×D7312yes—
1226C22⋊Q8C22×D7312yes—
1227C22⋊Q8C22×D7312yes—
1228C22⋊Q8C22×D7312yes—
1229C22⋊Q8C22×D7312yes—
1230C22⋊Q8C22×D7312yes—
1231#121—738no—
1232#121—734no—
1233#121—738no—
1234#121—738no—
1235#121—738no—
1236#121—738no—
1237#121—734no—
1238#121—732no—
1239#121—732no—
1240#121—732no—
1241#121—732no—
1242#121—732no—
1243#121—732no—
1244#121—734no—
1245#121—734no—
1246#121—738no—
1247#121—738no—
1248#121—738no—
1249#121C22×D7312yes—
1250#121C22×D7312yes—
1251#121C22×D7312yes—
1252#121C22×D7312yes—
1253#121C22×D7312yes—
1254#121C22×D7312yes—
1255#120—734no—
1256#120—738no—
1257#120—738no—
1258#120—738no—
1259#120—738no—
1260#120C22×D7314yes—
1261C4×Q8—734no—
1262C4×Q8—734no—
1263C4×Q8—734no—
1264C4×Q8—738no—
1265C4×Q8—732no—
1266C4×Q8—732no—
1267C4×Q8—732no—
1268C4×Q8—732no—
1269C4×Q8—732no—
1270C4×Q8—732no—
1271C4×Q8—732no—
1272C4×Q8—732no—
1273C4×Q8—732no—
1274C4×Q8—738no—
1275C4×Q8—732no—
1276C4×Q8—732no—
1277C4×Q8—734no—
1278C4×Q8—732no—
1279C4×Q8—732no—
1280C4×Q8—732no—
1281C4×Q8C22×D7312yes—
1282C4×Q8C22×D7312yes—
1283C4×Q8C22×D7312yes—
1284C4×Q8C22×D7312yes—
1285C4×Q8C22×D7312yes—
1286C4×Q8C22×D7312yes—
1287C4×D4—738no—
1288C4×D4—734no—
1289C4×D4—734no—
1290C4×D4—734no—
1291C4×D4—738no—
1292C4×D4—734no—
1293C4×D4—734no—
1294C4×D4—734no—
1295C4×D4—734no—
1296C4×D4—734no—
1297C4×D4—734no—
1298C4×D4—734no—
1299C4×D4—734no—
1300C4×D4—738no—
1301C4×D4—734no—
1302C4×D4—738no—
1303C4×D4—734no—
1304C4×D4—734no—
1305C4×D4—734no—
1306C4×D4—734no—
1307C4×D4—738no—
1308C4×D4—734no—
1309C4×D4—734no—
1310C4×D4—734no—
1311C4×D4—738no—
1312C4×D4—738no—
1313C4×D4—738no—
1314C4×D4—738no—
1315C4×D4—738no—
1316C4×D4—732no—
1317C4×D4—732no—
1318C4×D4—738no—
1319C4×D4—732no—
1320C4×D4—732no—
1321C4×D4—732no—
1322C4×D4—732no—
1323C4×D4—732no—
1324C4×D4—732no—
1325C4×D4—732no—
1326C4×D4—732no—
1327C4×D4—734no—
1328C4×D4—738no—
1329C4×D4—734no—
1330C4×D4—732no—
1331C4×D4—734no—
1332C4×D4—732no—
1333C4×D4—732no—
1334C4×D4—732no—
1335C4×D4C22×D7314yes—
1336C4×D4C22×D7312yes—
1337C4×D4C22×D7312yes—
1338C4×D4C22×D7314yes—
1339C4×D4C22×D7312yes—
1340C4×D4C22×D7314yes—
1341C4×D4C22×D7314yes—
1342C4×D4C22×D7314yes—
1343C4×D4C22×D7314yes—
1344C4×D4C22×D7312yes—
1345C4×D4C22×D7312yes—
1346C4×D4C22×D7312yes—
1347#117—732no—
1348#117—732no—
1349#117—732no—
1350#117—732no—
1351#117—738no—
1352#117—732no—
1353#117—734no—
1354#117—732no—
1355#117—732no—
1356#117—738no—
1357#117—738no—
1358#117—738no—
1359#117—734no—
1360#117—738no—
1361#117—738no—
1362#117—734no—
1363#117—734no—
1364#117—734no—
1365#117—734no—
1366#117—734no—
1367#117—738no—
1368#117—734no—
1369#117—738no—
1370#117—734no—
1371#117C22×D7314yes—
1372#117C22×D7312yes—
1373#117C22×D7314yes—
1374#117C22×D7312yes—
1375#117C22×D7312yes—
1376#117C22×D7314yes—
1377C2×C4⋊C4—731no—
1378C2×C4⋊C4—731no—
1379C2×C4⋊C4—732no—
1380C2×C4⋊C4—732no—
1381C2×C4⋊C4—734no—
1382C2×C4⋊C4—738no—
1383C2×C4⋊C4—738no—
1384C2×C4⋊C4—738no—
1385C2×C4⋊C4—734no—
1386C2×C4⋊C4—734no—
1387C2×C4⋊C4—734no—
1388C2×C4⋊C4—738no—
1389C2×C22⋊C4—732no—
1390C2×C22⋊C4—732no—
1391C2×C22⋊C4—732no—
1392C2×C22⋊C4—738no—
1393C2×C22⋊C4—738no—
1394C2×C22⋊C4—738no—
1395C2×C22⋊C4—738no—
1396C2×C22⋊C4—738no—
1397C2×C22⋊C4—738no—
1398C2×C22⋊C4—738no—
1399C2×C42—732no—
1400C2×C42—732no—
1401C2×C42—732no—
1402C2×C42—734no—
1403C2×C42—738no—
1404C2×C42—734no—
1405C2×C42—734no—
1406C2×C42—734no—
1407C2×C42—734no—
1408C2×C42C22×D7311yescharacteristic
1409C2×C42C22×D7311yescharacteristic
1410C2×C42C22×D7311yescharacteristic
1411C2×C42C22×D7314yes—
1412C2×C42C22×D7311yescharacteristic
1413C2×C42C22×D7311yescharacteristic
1414C2×C42C22×D7311yescharacteristic
1415C2×C42C22×D7311yescharacteristic
1416C2×C42C22×D7311yescharacteristic
1417C2×C42C22×D7311yescharacteristic
1418C2×C42C22×D7311yescharacteristic
1419C2×C42C22×D7311yescharacteristic
1420C2×C42C22×D7311yescharacteristic
1421C24—732no—
1422C24—738no—
1423C24C23×D7311yescharacteristic
1424#41—28no—
1425#41—44no—
1426#41—44no—
1427#41—2924no—
1428#41—2924no—
1429#41—1468no—
1430#41—1468no—
1431#41—1468no—
1432#41—1468no—
1433#41—14616no—
1434#41—14616no—
1435#41—1468no—
1436C2×Q8—2928no—
1437C2×Q8—732no—
1438C2×Q8—738no—
1439C2×Q8—732no—
1440C2×Q8—732no—
1441C2×Q8—732no—
1442C2×Q8—732no—
1443C2×Q8—1464no—
1444C2×Q8C23×D7312yes—
1445C2×Q8C23×D7312yes—
1446C2×Q8C23×D7312yes—
1447C2×D4—2928no—
1448C2×D4—734no—
1449C2×D4—734no—
1450C2×D4—738no—
1451C2×D4—734no—
1452C2×D4—734no—
1453C2×D4—738no—
1454C2×D4—734no—
1455C2×D4—738no—
1456C2×D4—732no—
1457C2×D4—732no—
1458C2×D4—732no—
1459C2×D4—738no—
1460C2×D4—732no—
1461C2×D4—732no—
1462C2×D4—14616no—
1463C2×D4—14616no—
1464C2×D4—14632no—
1465C2×D4—1468no—
1466C2×D4C23×D7314yes—
1467C2×D4C23×D7312yes—
1468C2×D4C23×D7312yes—
1469C2×D4C23×D7312yes—
1470C2×D4C23×D7314yes—
1471C2×D4C23×D7314yes—
1472C22×C4—24no—
1473C22×C4—42no—
1474C22×C4—42no—
1475C22×C4—2924no—
1476C22×C4—2924no—
1477C22×C4—29216no—
1478C22×C4—732no—
1479C22×C4—732no—
1480C22×C4—738no—
1481C22×C4—734no—
1482C22×C4—734no—
1483C22×C4—738no—
1484C22×C4—734no—
1485C22×C4—738no—
1486C22×C4—738no—
1487C22×C4—732no—
1488C22×C4—734no—
1489C22×C4—734no—
1490C22×C4—734no—
1491C22×C4—738no—
1492C22×C4—734no—
1493C22×C4—734no—
1494C22×C4—734no—
1495C22×C4—1468no—
1496C22×C4C23×D7311yescharacteristic
1497C22×C4C23×D7311yescharacteristic
1498C22×C4C23×D7311yescharacteristic
1499C22×C4C23×D7311yescharacteristic
1500C22×C4C23×D7311yescharacteristic
1501C22×C4C23×D7311yescharacteristic
1502C22×C4C23×D7311yescharacteristic
1503C22×C4C23×D7311yescharacteristic
1504C22×C4C23×D7314yes—
1505C22×C4C23×D7311yescharacteristic
1506C22×C4C23×D7311yescharacteristic
1507C22×C4C23×D7311yescharacteristic
1508C22×C4C23×D7314yes—
1509C22×C4C23×D7311yescharacteristic
1510C22×C4C23×D7311yescharacteristic
1511C22×C4C23×D7311yescharacteristic
1512C22×C4C23×D7311yescharacteristic
1513C22×C4C23×D7311yescharacteristic
1514C22×C4C23×D7311yescharacteristic
1515C22×C4C23×D7314yes—
1516C22×C4C23×D7311yescharacteristic
1517C4⋊C4—734no—
1518C4⋊C4—734no—
1519C4⋊C4—738no—
1520C4⋊C4—734no—
1521C4⋊C4—734no—
1522C4⋊C4—734no—
1523C4⋊C4—734no—
1524C4⋊C4—734no—
1525C4⋊C4—734no—
1526C4⋊C4—738no—
1527C4⋊C4—738no—
1528C4⋊C4—738no—
1529C4⋊C4—738no—
1530C4⋊C4—738no—
1531C4⋊C4—734no—
1532C4⋊C4—734no—
1533C4⋊C4—732no—
1534C4⋊C4—732no—
1535C4⋊C4—732no—
1536C4⋊C4—732no—
1537C4⋊C4—738no—
1538C4⋊C4—732no—
1539C4⋊C4—732no—
1540C4⋊C4—732no—
1541C4⋊C4—738no—
1542C4⋊C4—738no—
1543C4⋊C4—738no—
1544C4⋊C4—732no—
1545C4⋊C4—732no—
1546C4⋊C4—732no—
1547C4⋊C4C23×D7314yes—
1548C4⋊C4C23×D7314yes—
1549C4⋊C4C23×D7312yes—
1550C4⋊C4C23×D7312yes—
1551C4⋊C4C23×D7314yes—
1552C4⋊C4C23×D7312yes—
1553C4⋊C4C23×D7314yes—
1554C4⋊C4C23×D7312yes—
1555C4⋊C4C23×D7314yes—
1556C4⋊C4C23×D7312yes—
1557C4⋊C4C23×D7312yes—
1558C4⋊C4C23×D7314yes—
1559C22⋊C4—734no—
1560C22⋊C4—738no—
1561C22⋊C4—734no—
1562C22⋊C4—734no—
1563C22⋊C4—738no—
1564C22⋊C4—738no—
1565C22⋊C4—738no—
1566C22⋊C4—734no—
1567C22⋊C4—734no—
1568C22⋊C4—734no—
1569C22⋊C4—734no—
1570C22⋊C4—734no—
1571C22⋊C4—734no—
1572C22⋊C4—738no—
1573C22⋊C4—738no—
1574C22⋊C4—734no—
1575C22⋊C4—734no—
1576C22⋊C4—738no—
1577C22⋊C4—734no—
1578C22⋊C4—734no—
1579C22⋊C4—734no—
1580C22⋊C4—738no—
1581C22⋊C4—738no—
1582C22⋊C4—738no—
1583C22⋊C4—734no—
1584C22⋊C4C23×D7314yes—
1585C22⋊C4C23×D7314yes—
1586C22⋊C4C23×D7314yes—
1587C22⋊C4C23×D7314yes—
1588C22⋊C4C23×D7314yes—
1589C22⋊C4C23×D7314yes—
1590C22⋊C4C23×D7314yes—
1591C22⋊C4C23×D7314yes—
1592C22⋊C4C23×D7314yes—
1593C42—734no—
1594C42—734no—
1595C42—734no—
1596C42—734no—
1597C42—734no—
1598C42—734no—
1599C42—738no—
1600C42—738no—
1601C42—734no—
1602C42—734no—
1603C42—734no—
1604C42C23×D7311yescharacteristic
1605C42C23×D7311yescharacteristic
1606C42C23×D7311yescharacteristic
1607C42C23×D7311yescharacteristic
1608C42C23×D7311yescharacteristic
1609C42C23×D7311yescharacteristic
1610C42C23×D7311yescharacteristic
1611C42C23×D7311yescharacteristic
1612C42C23×D7311yescharacteristic
1613C42C23×D7311yescharacteristic
1614C42C23×D7311yescharacteristic
1615C42C23×D7311yescharacteristic
1616C42C23×D7314yes—
1617C42C23×D7314yes—
1618C42C23×D7311yescharacteristic
1619C42C23×D7311yescharacteristic
1620C42C23×D7311yescharacteristic
1621C42C23×D7314yes—
1622C42C23×D7311yescharacteristic
1623C23—22no—
1624C23—41no—
1625C23—41no—
1626C23—2922no—
1627C23—2922no—
1628C23—2928no—
1629C23—2928no—
1630C23—738no—
1631C23—734no—
1632C23—734no—
1633C23—14616no—
1634C23C24×D7314yes—
1635C23C24×D7311yescharacteristic
1636C23C24×D7311yescharacteristic
1637C23C24×D7311yescharacteristic
1638Q8—24no—
1639Q8—24no—
1640Q8—42no—
1641Q8—2928no—
1642Q8—2922no—
1643Q8—1464no—
1644Q8—1464no—
1645Q8—1464no—
1646Q8—1464no—
1647D4—28no—
1648D4—24no—
1649D4—24no—
1650D4—42no—
1651D4—44no—
1652D4—44no—
1653D4—2922no—
1654D4—2928no—
1655D4—2924no—
1656D4—2924no—
1657D4—738no—
1658D4—738no—
1659D4—14616no—
1660D4—14616no—
1661D4—1468no—
1662D4—1468no—
1663D4—1468no—
1664D4—1464no—
1665D4—1464no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—28no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—28no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—44no—
1686C2×C4—2924no—
1687C2×C4—2924no—
1688C2×C4—2928no—
1689C2×C4—2928no—
1690C2×C4—2928no—
1691C2×C4—2924no—
1692C2×C4—2922no—
1693C2×C4—2928no—
1694C2×C4—2922no—
1695C2×C4—734no—
1696C2×C4—734no—
1697C2×C4—734no—
1698C2×C4—734no—
1699C2×C4—734no—
1700C2×C4—734no—
1701C2×C4—1468no—
1702C2×C4—1468no—
1703C2×C4—14616no—
1704C2×C4—1464no—
1705C2×C4—1468no—
1706C2×C4—1468no—
1707C2×C4—1468no—
1708C2×C4—1468no—
1709C2×C4#41×D7314yes—
1710C2×C4C24×D7311yescharacteristic
1711C2×C4C24×D7311yescharacteristic
1712C2×C4C24×D7311yescharacteristic
1713C2×C4C24×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C2×C4C24×D7314yes—
1716C2×C4C24×D7314yes—
1717C2×C4C24×D7311yescharacteristic
1718C2×C4C24×D7311yescharacteristic
1719C2×C4C24×D7311yescharacteristic
1720C2×C4C24×D7314yes—
1721C2×C4C24×D7311yescharacteristic
1722C2×C4C24×D7311yescharacteristic
1723C2×C4C24×D7311yescharacteristic
1724C2×C4C24×D7311yescharacteristic
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—24no—
1730C22—21no—
1731C22—21no—
1732C22—21no—
1733C22—21no—
1734C22—24no—
1735C22—24no—
1736C22—44no—
1737C22—2928no—
1738C22—58416no—
1739C22—738no—
1740C22—1464no—
1741C22—1464no—
1742C22—1464no—
1743C22—1464no—
1744C22—1464no—
1745C22C2×#41×D7312yes—
1746C22C25×D7311yescharacteristic
1747C4—21no—
1748C4—21no—
1749C4—24no—
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—24no—
1757C4—24no—
1758C4—1464no—
1759C4—1464no—
1760C4—1464no—
1761C4—1464no—
1762C4—1464no—
1763C4—1464no—
1764C4C2×#41×D7312yes—
1765C4C2×#41×D7312yes—
1766C4#1798942312yes—
1767C4#1798942312yes—
1768C2—22no—
1769C2—41no—
1770C2—41no—
1771C2—44no—
1772C2—2924no—
1773C2—1468no—
1774C2C22×#41×D7311yescharacteristic
1775C2C2×#1798942311yescharacteristic
1776C2C2×#1798942311yescharacteristic
subgroupG/H
centerC2×C4C24×D73
commutator, socle, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC73×#3444C2
hypercenter#3444D73
hypocenterC73#62781
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #22624003C2semidirect
2. #22623993C2semidirect
3. #22623911C2semidirect
4. #22623904C2semidirect
5. #22623894C2semidirect
6. #22623887C2semidirect
7. #22623798C2semidirect
8. #22623793C2semidirect
9. #22623759C2semidirect
10. #22623732C2semidirect
11. #22623693C2semidirect
12. #22623648C2semidirect
13. #22623623C2semidirect
14. #22623573C2semidirect
15. #22623553C2semidirect
16. #22623549C2semidirect
17. #22623541C2semidirect
18. #22623539C2semidirect
19. #22623495C2semidirect
20. #22623487C2semidirect
21. #22623358C2semidirect
22. #22623338C2semidirect
23. #22623227C2semidirect
24. #529×D73C2semidirect
25. C4×#14556637C2semidirect
26. C2×C4×#11924028C2semidirect
27. C73×#3444C2semidirect
30. #17989323C22semidirect
31. #17989322C22semidirect
32. #17989316C22semidirect
33. #17989312C22semidirect
34. #17989311C22semidirect
35. #17989310C22semidirect
36. #17989308C22semidirect
37. #17989307C22semidirect
38. #17989307C22semidirect
39. #17989306C22semidirect
40. #17989302C22semidirect
41. #17989301C22semidirect
42. #17989298C22semidirect
43. #17989298C22semidirect
44. #17989297C22semidirect
45. #17989297C22semidirect
46. #17989294C22semidirect
47. #17989293C22semidirect
48. #17989287C22semidirect
49. #17989284C22semidirect
50. #17989284C22semidirect
51. #17989283C22semidirect
52. #17989282C22semidirect
53. #17989281C22semidirect
54. #17989278C22semidirect
55. #17989277C22semidirect
56. #17989277C22semidirect
57. #17989276C22semidirect
58. #17989276C22semidirect
59. #17989275C22semidirect
60. #17989273C22semidirect
61. #17989271C22semidirect
62. #17989271C22semidirect
63. #17989269C22semidirect
64. #17989267C22semidirect
65. #17989266C22semidirect
66. #17989266C22semidirect
67. #17989265C22semidirect
68. #17989262C22semidirect
69. #17989261C22semidirect
70. Q8×D292C22semidirect
71. #17989252C22semidirect
72. #17989247C22semidirect
73. #17989244C22semidirect
74. #17989242C22semidirect
75. #17989242C22semidirect
76. #17989242C22semidirect
77. #17989240C22semidirect
78. #17989239C22semidirect
79. #17989239C22semidirect
80. #17989234C22semidirect
81. #17989234C22semidirect
82. #17989234C22semidirect
83. #17989233C22semidirect
84. #17989233C22semidirect
85. #17989233C22semidirect
86. #17989230C22semidirect
87. #17989225C22semidirect
88. D4×D292C22semidirect
89. #17989222C22semidirect
90. #17989215C22semidirect
91. #17989212C22semidirect
92. #17989208C22semidirect
93. #17989202C22semidirect
94. #17989199C22semidirect
95. #17989195C22semidirect
96. #17989186C22semidirect
97. #17989183C22semidirect
98. #17989182C22semidirect
99. #17989180C22semidirect
100. #17989179C22semidirect
101. #17989173C22semidirect
102. #17989172C22semidirect
103. #17989169C22semidirect
105. #17989163C22semidirect
106. #17989158C22semidirect
107. #17989147C22semidirect
109. #17989144C22semidirect
110. #17989144C22semidirect
111. #17989144C22semidirect
112. #17989144C22semidirect
113. #17989141C22semidirect
115. #17989137C22semidirect
116. #17989137C22semidirect
117. #17989124C22semidirect
118. #17989123C22semidirect
119. #17989122C22semidirect
120. #17989121C22semidirect
121. #17989121C22semidirect
122. #17989121C22semidirect
123. #17989121C22semidirect
124. #17989121C22semidirect
125. #17989121C22semidirect
126. #17989121C22semidirect
127. #17989120C22semidirect
128. #17989119C22semidirect
129. #17989119C22semidirect
130. #17989119C22semidirect
131. #17989118C22semidirect
132. #17989117C22semidirect
133. #17989116C22semidirect
134. #17989115C22semidirect
135. #17989115C22semidirect
136. #17989114C22semidirect
137. #126×D73C22semidirect
138. #125×D73C22semidirect
139. #124×D73C22semidirect
140. #17989098C22semidirect
141. #17989098C22semidirect
142. #17989098C22semidirect
143. #17989096C22semidirect
144. #17989094C22semidirect
145. #123×D73C22semidirect
146. C22⋊Q8×D73C22semidirect
148. #17989070C22semidirect
149. #17989069C22semidirect
150. #17989067C22semidirect
151. #17989067C22semidirect
153. #17989061C22semidirect
154. #17989059C22semidirect
155. #17989059C22semidirect
156. C4×#11924029C22semidirect
157. C4×#11924028C22semidirect
158. C4×#11924028C22semidirect
159. C4×#11924028C22semidirect
160. C4×#11924028C22semidirect
161. C4×#11924028C22semidirect
162. C4×#11924028C22semidirect
163. C4×#11924028C22semidirect
164. C4×#11924028C22semidirect
165. C4×#11924028C22semidirect
166. C4×#11924028C22semidirect
167. C4×#11924028C22semidirect
168. C4×#11924028C22semidirect
169. C2×C4×Dic146C22semidirect
170. C2×C4×Dic146C22semidirect
171. C4×Q8×D73C22semidirect
174. C2×C4×D292C22semidirect
175. C2×C4×C22⋊D73C22semidirect
176. C2×C4×C22⋊D73C22semidirect
177. C4×D4×D73C22semidirect
178. C4×D4×D73C22semidirect
179. C4×D4×D73C22semidirect
180. C2×#14556550C22semidirect
181. C2×#14556548C22semidirect
182. #117×D73C22semidirect
183. C2×C42×D73C22semidirect
184. #533×C73C22semidirect
185. #533×C73C22semidirect
186. #533×C73C22semidirect
188. #532×C73C22semidirect
189. #532×C73C22semidirect
190. #529×C73C22semidirect
191. #529×C73C22semidirect
192. #529×C73C22semidirect
193. #529×C73C22semidirect
194. #529×C73C22semidirect
195. #529×C73C22semidirect
196. #525×C73C22semidirect
197. #525×C73C22semidirect
198. #525×C73C22semidirect
199. C4×#41×C73C22semidirect
200. C4×#41×C73C22semidirect
201. C4×#41×C73C22semidirect
202. C22×C42×C73C22semidirect
552. C2×D292#41semidirect
912. #3444D73semidirect
916. C73#62781semidirect
1003. #533C2×D73semidirect
1004. #533C2×D73semidirect
1005. #533C2×D73semidirect
1010. #532C2×D73semidirect
1011. #532C2×D73semidirect
1032. #529C2×D73semidirect
1033. #529C2×D73semidirect
1034. #529C2×D73semidirect
1035. #529C2×D73semidirect
1036. #529C2×D73semidirect
1037. #529C2×D73semidirect
1046. #525C2×D73semidirect
1047. #525C2×D73semidirect
1048. #525C2×D73semidirect
1073. C4×#41C2×D73semidirect
1074. C4×#41C2×D73semidirect
1075. C4×#41C2×D73semidirect
1091. C22×C42C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226240032
#226239932
#226239112
#226239042
#226238942
#226238872
#226237982
#226237932
#226237592
#226237322
#226236932
#226236482
#226236232
#226235732
#226235532
#226235492
#226235412
#226235392
#226234952
#226234872
#226233582
#226233382
#226232272
#529×D732
C4×#145566372
C2×C4×#119240282
C73×#34442
#6278173