Finite Group Databasebeta

← #33968049

Subgroups — #33968049

Order 18688.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623542C211yesmaximal, characteristic, complemented
2#22623531C211yesmaximal, characteristic, complemented
3#22623021C211yesmaximal, characteristic, complemented
4#22622699C211yesmaximal, characteristic, complemented
5#22622684C211yesmaximal, characteristic, complemented
6#22622475C211yesmaximal, characteristic, complemented
7#22622415C211yesmaximal, characteristic, complemented
8#22622332C211yesmaximal, characteristic, complemented
9#22622069C211yesmaximal, characteristic, complemented
10#22622039C211yesmaximal, characteristic, complemented
11#22621964C211yesmaximal, characteristic, complemented
12#22621934C211yesmaximal, characteristic, complemented
13#22621830C211yesmaximal, characteristic, complemented
14#22621778C211yesmaximal, characteristic, complemented
15#22621640C211yesmaximal, characteristic, complemented
16#22621473C211yesmaximal, characteristic, complemented
17#22621428C211yesmaximal, characteristic, complemented
18#22620662C211yesmaximal, characteristic, complemented
19#22620631C211yesmaximal, characteristic, complemented
20#22620631C211yesmaximal, characteristic, complemented
21#22620107C211yesmaximal, characteristic, complemented
22#22620085C211yesmaximal, characteristic, complemented
23#22620074C211yesmaximal, characteristic, complemented
24#22620047C211yesmaximal, characteristic, complemented
25#22620045C211yesmaximal, characteristic, complemented
26#22620024C211yesmaximal, characteristic, complemented
27#22618944C211yesmaximal, characteristic, complemented
28C4×#14556618C211yesmaximal, characteristic, complemented
29#22618726C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3388C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556612C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989322—21no—
36#17989322C2211yescharacteristic
37#17989322C2211yescharacteristic, complemented
38#17989311—21no—
39#17989311C2211yescharacteristic, complemented
40#17989298C2211yescharacteristic
41#17989290—21no—
42#17989290—21no—
43#17989290C2211yescharacteristic
44#17989290C2211yescharacteristic
45#17989290C2211yescharacteristic
46#17989290C2211yescharacteristic, complemented
47#17989285—21no—
48#17989264—21no—
49#17989264—21no—
50#17989259C2211yescharacteristic, complemented
51#17989249C2211yescharacteristic
52#17989249C2211yescharacteristic, complemented
53#17989232C2211yescharacteristic
54#17989232C2211yescharacteristic
55#17989228—21no—
56D4×D292C2211yescharacteristic
57#17989138—21no—
58#17989138C2211yescharacteristic
59#17989138C2211yescharacteristic, complemented
60#17989123—21no—
61#17989122—21no—
62#17989122—21no—
63#17989122C2211yescharacteristic
64#17989122C2211yescharacteristic
65#17989122C2211yescharacteristic, complemented
66#17989122C2211yescharacteristic, complemented
67#17989100—21no—
68#17989100—21no—
69C4×#11924029—21no—
70C4×#11924029C2211yescharacteristic
71C4×#11924029C2211yescharacteristic, complemented
72C4×#11924029C2211yescharacteristic, complemented
73C4×#11924027C2211yescharacteristic
74C4×Q8×D73C2211yescharacteristic, complemented
75C2×#14556553—21no—
76C4×D4×D73C2211yescharacteristic
77C4×D4×D73C2211yescharacteristic
78#17988976C2211yescharacteristic
79#17988976C2211yescharacteristic, complemented
80#17988971C2211yescharacteristic, complemented
81#17988953C2211yescharacteristic
82#17988953C2211yescharacteristic, complemented
83#17988949C2211yescharacteristic, complemented
84#17988949C2211yescharacteristic, complemented
85#17988944C2211yescharacteristic, complemented
86#17988944C2211yescharacteristic, complemented
87#17988931C2211yescharacteristic, complemented
88#17988930C2211yescharacteristic, complemented
89#17988924C2211yescharacteristic, complemented
90#17988919C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic
92#17988913C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic
96#17988907C2211yescharacteristic, complemented
97#17988907C2211yescharacteristic, complemented
98#17988902C2211yescharacteristic, complemented
99#17988891C2211yescharacteristic, complemented
100#17988891C2211yescharacteristic, complemented
101#17988884C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic, complemented
103#17988874C2211yescharacteristic, complemented
104#17988864C2211yescharacteristic, complemented
105#17988846C2211yescharacteristic, complemented
106#17988841C2211yescharacteristic
107#17988834C2211yescharacteristic
108#17988834C2211yescharacteristic, complemented
109#17988824C2211yescharacteristic
110#17988824C2211yescharacteristic
111#17988824C2211yescharacteristic, complemented
112#17988824C2211yescharacteristic, complemented
113#17988817C2211yescharacteristic, complemented
114#17988817C2211yescharacteristic, complemented
115#17988817C2211yescharacteristic, complemented
116#17988817C2211yescharacteristic, complemented
117#17988810C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988809C2211yescharacteristic, complemented
120#17988809C2211yescharacteristic, complemented
121#17988803C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic
124#17988802C2211yescharacteristic
125#17988787C2211yescharacteristic
126#17988783C2211yescharacteristic
127#17988783C2211yescharacteristic, complemented
128#17988782C2211yescharacteristic
129#17988752C2211yescharacteristic, complemented
130#17988750C2211yescharacteristic
131#17988744C2211yescharacteristic, complemented
132#17988739C2211yescharacteristic
133#17988735C2211yescharacteristic
134#17988735C2211yescharacteristic, complemented
135#17988735C2211yescharacteristic, complemented
136#17988733C2211yescharacteristic
137#17988727C2211yescharacteristic
138#17988722C2211yescharacteristic
139#17988722C2211yescharacteristic
140#17988722C2211yescharacteristic
141#17988718C2211yescharacteristic, complemented
142#17988698C2211yescharacteristic, complemented
143#17988698C2211yescharacteristic, complemented
144#17988698C2211yescharacteristic, complemented
145#17988698C2211yescharacteristic, complemented
146#17988697C2211yescharacteristic
147#17988696C2211yescharacteristic
148#17988696C2211yescharacteristic
149#17988693C2211yescharacteristic, complemented
150#17988692C2211yescharacteristic, complemented
151#17988691C2211yescharacteristic, complemented
152#17988690C2211yescharacteristic, complemented
153#17988690C2211yescharacteristic, complemented
154#17988689C2211yescharacteristic, complemented
155#17988689C2211yescharacteristic, complemented
156#17988688C2211yescharacteristic
157#17988687C2211yescharacteristic
158#17988686C2211yescharacteristic, complemented
159#17988686C2211yescharacteristic, complemented
160#17988686C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic
164C4×#11924015C2211yescharacteristic, complemented
165C4×D584C2211yescharacteristic, complemented
166C4×#11924013C2211yescharacteristic
167#17988660C2211yescharacteristic
168#17988660C2211yescharacteristic, complemented
169#17988657C2211yescharacteristic
170#17988657C2211yescharacteristic, complemented
171C8×D292C2211yescharacteristic, complemented
172#17988652C2211yescharacteristic, complemented
173#17988643C2211yescharacteristic, complemented
174#17988643C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988626C2211yescharacteristic, complemented
177#17988624C2211yescharacteristic, complemented
178#107×D73C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic
180#17988587C2211yescharacteristic, complemented
181#17988582C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic
183#103×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic
185C4×#11924011C2211yescharacteristic, complemented
186#97×D73C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#557×C73C2211yescharacteristic, complemented
189#554×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#501×C73C2211yescharacteristic, complemented
192#499×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#479×C73C2211yescharacteristic, complemented
195#478×C73C2211yescharacteristic
196#478×C73C2211yescharacteristic
197#476×C73C2211yescharacteristic
198#475×C73C2211yescharacteristic, complemented
199#446×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic
202C4×SD16×C73C2211yescharacteristic
203C2×#11924029—21no—
204C2×#11924029—21no—
205C2×#11924029D411yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924027C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C22×D292—21no—
211C2×D4×D73C2311yescharacteristic
212C2×D4×D73C2311yescharacteristic
213C22×C4×D73—21no—
214C22×C4×D73—21no—
215#14556618—24no—
216#14556612—24no—
217C2×Dic292C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226SD16×D73—24no—
227C2×D584C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×D584C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924011C2311yescharacteristic
234C2×#11924011C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236C2×C8×D73C2311yescharacteristic
237C2×C8×D73C2311yescharacteristic
238C2×C8×D73C2311yescharacteristic
239#14556588—21no—
240#14556588C2311yescharacteristic
241#14556588C2311yescharacteristic
242#14556586—21no—
243#14556586—21no—
244#14556586—21no—
245#14556586—21no—
246#14556586—21no—
247#14556586—21no—
248#14556586—21no—
249#14556586—21no—
250#14556586—21no—
251#14556586—21no—
252#14556582—21no—
253#14556580—21no—
254#14556580—21no—
255#14556580—21no—
256#14556580—21no—
257#14556580—21no—
258#14556579—21no—
259#14556579—21no—
260#14556579C2311yescharacteristic
261#14556579C2311yescharacteristic
262#14556579C2311yescharacteristic
263#14556579C2311yescharacteristic
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576—21no—
276#14556575—21no—
277#14556575—21no—
278#14556571—21no—
279#14556571—21no—
280#14556571C2311yescharacteristic
281#14556571C2311yescharacteristic
282#14556571C2311yescharacteristic
283#14556571C2311yescharacteristic
284#14556567—21no—
285#14556567—21no—
286#14556566—21no—
287#14556566—21no—
288#14556566—21no—
289#14556566—21no—
290#14556566—21no—
291#14556566—21no—
292#14556566—21no—
293#14556566—21no—
294#14556566—21no—
295#14556566—21no—
296#14556566C2311yescharacteristic
297#14556566C2311yescharacteristic
298#14556566C2311yescharacteristic
299#14556566C2311yescharacteristic
300#14556566C2311yescharacteristic
301#14556566C2311yescharacteristic
302#14556566C2311yescharacteristic
303#14556566C2311yescharacteristic
304#14556565—21no—
305#14556565—21no—
306#14556565—21no—
307#14556561—21no—
308#14556561—21no—
309#14556561—21no—
310#14556561—21no—
311Q8×Dic73—21no—
312Q8×Dic73D411yescharacteristic
313Q8×Dic73C2311yescharacteristic
314C4×Dic146—21no—
315C4×Dic146C2311yescharacteristic
316C4×Dic146C2311yescharacteristic
317#14556556—21no—
318#14556556C2311yescharacteristic
319#14556556C2311yescharacteristic
320C4×D292—21no—
321C4×D292—21no—
322C4×D292—21no—
323C4×D292—21no—
324C4×D292—21no—
325C4×D292C2311yescharacteristic
326C4×D292C2311yescharacteristic
327C4×D292C2311yescharacteristic
328C4×D292C2311yescharacteristic
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331C4×D292C2311yescharacteristic
332D4×Dic73C2311yescharacteristic
333#14556553—21no—
334#14556553—21no—
335#14556553—21no—
336#14556553—21no—
337#14556553—21no—
338#14556553—21no—
339#14556553—21no—
340#14556553—21no—
341#14556553—21no—
342#14556553—21no—
343#14556553—21no—
344#14556553—21no—
345#14556553—21no—
346#14556553—21no—
347#14556553—21no—
348#14556553D411yescharacteristic
349#14556553D411yescharacteristic
350#14556553D411yescharacteristic
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354#14556553C2311yescharacteristic
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556549—21no—
362#14556549—21no—
363#14556549—21no—
364#14556549—21no—
365#14556549—21no—
366#14556549—21no—
367#14556549D411yescharacteristic
368#14556549D411yescharacteristic
369#14556549D411yescharacteristic
370#14556549C2311yescharacteristic
371#14556549C2311yescharacteristic
372#14556549C2311yescharacteristic
373#14556547—21no—
374C4⋊C4×D73—21no—
375C4⋊C4×D73C2311yescharacteristic
376C4⋊C4×D73C2311yescharacteristic
377C4⋊C4×D73C2311yescharacteristic
378C2×#11924005—21no—
379C2×#11924005—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73—21no—
383C42×D73—21no—
384C42×D73—21no—
385C42×D73—21no—
386C42×D73C2311yescharacteristic
387C42×D73C2311yescharacteristic
388C42×D73C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556514C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556511C2311yescharacteristic
414#14556511C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C4×#10596831C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C4⋊Q8×C73—21no—
440C4⋊Q8×C73C2311yescharacteristic
441C4⋊Q8×C73C2311yescharacteristic
442#125×C73—21no—
443#125×C73—21no—
444#125×C73C2311yescharacteristic
445#125×C73C2311yescharacteristic
446#125×C73C2311yescharacteristic
447#125×C73C2311yescharacteristic
448C22⋊Q8×C73—21no—
449C22⋊Q8×C73—21no—
450C22⋊Q8×C73—21no—
451C4×Q8×C73—21no—
452C4×Q8×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C2×C4⋊C4×C73—21no—
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—22no—
484#11924029—22no—
485#11924029—42no—
486#11924029—41no—
487#11924029—41no—
488#11924029—44no—
489#11924029—82no—
490#11924027—22no—
491#11924027—41no—
492C2×Dic146—21no—
493C2×Dic146C2411yescharacteristic
494C2×Dic146C2411yescharacteristic
495Q8×D73—22no—
496Q8×D73—41no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—44no—
512C2×D292C2×D411yescharacteristic
513C2×D292C2×D411yescharacteristic
514C2×D292C2×D411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×D292C2411yescharacteristic
517C2×D292C2411yescharacteristic
518C2×D292C2411yescharacteristic
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522D4×D73—22no—
523D4×D73—22no—
524D4×D73—41no—
525D4×D73—41no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—82no—
543C2×C4×D73—82no—
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2×D411yescharacteristic
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2×D411yescharacteristic
549C2×C4×D73C2×D411yescharacteristic
550C2×C4×D73C2411yescharacteristic
551C2×C4×D73C2411yescharacteristic
552C2×C4×D73C2411yescharacteristic
553Dic292—41no—
554#11924018—22no—
555#11924017—22no—
556#11924017—22no—
557#11924017—41no—
558#11924017—41no—
559#11924016—22no—
560#11924015—22no—
561#11924015—22no—
562D584—22no—
563D584—41no—
564D584—41no—
565D584—41no—
566#11924013—22no—
567#11924013—22no—
568#11924011—22no—
569#11924011—41no—
570C2×#10596831C2411yescharacteristic
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C8×D73—22no—
575C8×D73—22no—
576C8×D73—41no—
577C8×D73—41no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73C2×D411yescharacteristic
584C4⋊Dic73C2×D411yescharacteristic
585C4⋊Dic73C2×D411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587C4⋊Dic73C2411yescharacteristic
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595C22⋊Dic73—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2411yescharacteristic
648C2×Q8×C73—21no—
649C2×Q8×C73—21no—
650C2×Q8×C73C2×D411yescharacteristic
651C2×Q8×C73C2411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656SD16×C73#4114yescomplemented
657C2×C8×C73C2411yescharacteristic
658C2×C8×C73C2411yescharacteristic
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C4⋊C4×C73—21no—
662C4⋊C4×C73—21no—
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73C2×D411yescharacteristic
675C4⋊C4×C73C2×D411yescharacteristic
676C4⋊C4×C73C2×D411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C4⋊C4×C73C2411yescharacteristic
682C4⋊C4×C73C2411yescharacteristic
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C42×C73—21no—
687C42×C73—21no—
688C42×C73—21no—
689C42×C73C2411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C22×D73—21no—
694C22×D73—21no—
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—42no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—81no—
702C22×D73—81no—
703C22×D73C22×D411yescharacteristic
704C22×D73C22×D411yescharacteristic
705C22×D73C22×D411yescharacteristic
706Q8×C73—21no—
707Q8×C73—41no—
708Q8×C73—42no—
709Q8×C73—81no—
710Q8×C73C2×#4112yes—
711D4×C73—21no—
712D4×C73C2×#4112yes—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—42no—
721C2×C4×C73—81no—
722C2×C4×C73—81no—
723C2×C4×C73C22×D411yescharacteristic
724C2×C4×C73C22×D411yescharacteristic
725C2×C4×C73C22×D411yescharacteristic
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C2511yescharacteristic
730C22⋊D73—42no—
731C22⋊D73—42no—
732C22⋊D73—42no—
733C2×Dic73—21no—
734C2×Dic73—21no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—42no—
738C2×Dic73—42no—
739C2×Dic73C22×D411yescharacteristic
740C2×Dic73C22×D411yescharacteristic
741C2×Dic73C22×D411yescharacteristic
742C2×Dic73C22×D411yescharacteristic
743C2×Dic73C22×D411yescharacteristic
744D292—22no—
745D292—22no—
746D292—21no—
747D292—21no—
748D292—21no—
749D292—21no—
750D292—21no—
751D292—21no—
752D292—21no—
753D292—21no—
754D292—41no—
755D292—42no—
756D292—42no—
757D292—42no—
758D292—42no—
759D292—42no—
760D292—42no—
761D292—42no—
762D292—42no—
763D292—81no—
764D292—81no—
765D292—81no—
766D292—81no—
767D292—81no—
768D292—81no—
769C4×D73—22no—
770C4×D73—21no—
771C4×D73—21no—
772C4×D73—21no—
773C4×D73—21no—
774C4×D73—21no—
775C4×D73—21no—
776C4×D73—41no—
777C4×D73—41no—
778C4×D73—41no—
779C4×D73—41no—
780C4×D73—41no—
781C4×D73—42no—
782C4×D73—42no—
783C4×D73—42no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—81no—
789C4×D73—81no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795Dic146—21no—
796Dic146—21no—
797Dic146—21no—
798Dic146—21no—
799Dic146—42no—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73C2×#4112yes—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831—21no—
808C22×C73—22no—
809C22×C73—41no—
810C22×C73—41no—
811C22×C73C23×D411yescharacteristic
812C2×D73—21no—
813C2×D73—21no—
814C2×D73—21no—
815C2×D73—21no—
816C2×D73—21no—
817C2×D73—21no—
818C2×D73—21no—
819C2×D73—21no—
820C2×D73—41no—
821C2×D73—41no—
822C2×D73—41no—
823C2×D73—41no—
824C2×D73—41no—
825C2×D73—41no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—84no—
833C2×D73—84no—
834C2×D73#57512yes—
835C4×C73—21no—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—22no—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—21no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73—41no—
847C4×C73—41no—
848C4×C73C22×#4111yescharacteristic
849C4×C73#58511yescharacteristic
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—21no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859#61456—731nomaximal, Sylow
860C2×C73—42no—
861C2×C73D4×#4111yescharacteristic
862C2×C73C2×#57511yescharacteristic
863C2×C73#358511yescharacteristic
864D73—22no—
865D73—41no—
866D73—41no—
867D73—81no—
868D73—81no—
869D73—81no—
870D73—81no—
871#3481—731no—
872#3480—731no—
873#3403—731no—
874#3388D7311yescharacteristic, complemented
875#3371—731no—
876#3370—731no—
877#3350—731no—
878#3346—731no—
879#3339—731no—
880#3318—731no—
881#3316—731no—
882#3311—731no—
883#3309—731no—
884#3301—731no—
885#3297—731no—
886#3282—731no—
887#3268—731no—
888#3265—731no—
889#3183—731no—
890#3180—731no—
891#3180—731no—
892#3117—731no—
893#3115—731no—
894#3114—731no—
895#3111—731no—
896#3111—731no—
897#3109—731no—
898#2970—731no—
899C4×AGL(1,ℤ/8)—731no—
900#2943—731no—
901C2×#440—731no—
902C73#6145611yescharacteristic, complemented, Sylow
903C2×AGL(1,ℤ/8)—731no—
904C2×#135—731no—
905C22×SD16—731no—
906#559—731no—
907#559—731no—
908#559—1461no—
909#557C2×D7311yescharacteristic, complemented
910#556—731no—
911#556—1461no—
912#554—731no—
913#554C2×D7311yescharacteristic
914#553—731no—
915#553—731no—
916#553—731no—
917#553—731no—
918#553—1461no—
919#553—1461no—
920#553—1461no—
921#551—1461no—
922#551—1461no—
923#550—731no—
924#548—731no—
925#548—731no—
926#546—731no—
927#546—731no—
928#546—1461no—
929D42—731no—
930#532—731no—
931#532—731no—
932#532—1461no—
933#529—731no—
934#529—731no—
935#529—731no—
936#529—731no—
937#529—1461no—
938#529—1461no—
939#529—1461no—
940#525—1461no—
941#525—1461no—
942C4×#41—731no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—1461no—
947C2×C4×Q8—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951#501C2×D7311yescharacteristic, complemented
952#501C2×D7311yescharacteristic, complemented
953#499C2×D7311yescharacteristic, complemented
954#496—731no—
955#496—731no—
956#495—731no—
957#490—731no—
958#490—731no—
959#489—731no—
960#489—731no—
961#488—731no—
962#488—731no—
963#485—731no—
964#485—731no—
965#484—731no—
966#483—731no—
967#482—731no—
968#482—731no—
969#482—731no—
970#482—731no—
971#481—731no—
972#481—731no—
973#481—731no—
974#480—731no—
975#479—731no—
976#479—731no—
977#479C2×D7311yescharacteristic, complemented
978#479C2×D7311yescharacteristic, complemented
979#478—731no—
980#478—731no—
981#478C2×D7311yescharacteristic
982#478C2×D7311yescharacteristic
983#476—731no—
984#476C2×D7311yescharacteristic
985#475C2×D7311yescharacteristic, complemented
986#474—731no—
987#470—731no—
988#469—731no—
989#468—731no—
990#468—731no—
991#466—731no—
992#466—731no—
993#466—731no—
994#466—731no—
995#465—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#464—731no—
1000#464—731no—
1001#464—731no—
1002#464—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#460—731no—
1008#459—731no—
1009#459—731no—
1010#459—731no—
1011#452—731no—
1012#452—731no—
1013#451—731no—
1014#450—731no—
1015#449—731no—
1016#449—731no—
1017#449—731no—
1018#449—731no—
1019#448—731no—
1020#447—731no—
1021#447—731no—
1022#447—731no—
1023#446—731no—
1024#446C2×D7311yescharacteristic, complemented
1025#442—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#441—731no—
1033#441—731no—
1034#441—731no—
1035#440—731no—
1036#440—731no—
1037#440—731no—
1038#440—731no—
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440C2×D7311yescharacteristic
1048#440C2×D7311yescharacteristic
1049C4×SD16—731no—
1050C4×SD16C2×D7311yescharacteristic
1051C4×D8—731no—
1052C4×D8—731no—
1053#435—731no—
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057C8×D4—731no—
1058C8×D4—731no—
1059#432—731no—
1060#432—731no—
1061#432—731no—
1062#428—731no—
1063#427—731no—
1064C2×#107—731no—
1065#418—731no—
1066#417—731no—
1067#416—731no—
1068#416—731no—
1069C2×#103—731no—
1070C2×#102—731no—
1071C4×M16—731no—
1072C2×#97—731no—
1073C2×#97—731no—
1074C2×#41—731no—
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—1461no—
1079C2×#41—1461no—
1080C22×Q8—731no—
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—1461no—
1084C23×C4—1461no—
1085C23×C4—1461no—
1086AGL(1,ℤ/8)—1464no—
1087#135—1464no—
1088C2×Q16—731no—
1089C2×Q16—731no—
1090C2×SD16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16—1464no—
1098C2×SD16C22×D7311yescharacteristic
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—731no—
1104C2×D8—731no—
1105C2×M16—731no—
1106C2×M16—731no—
1107C22×C8—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8—731no—
1111C4⋊Q8—21no—
1112C4⋊Q8C22×D7311yescharacteristic
1113C4⋊Q8C22×D7311yescharacteristic
1114#127—731no—
1115#127—731no—
1116#127—1461no—
1117#126—1461no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#126—1461no—
1127#125—21no—
1128#125—21no—
1129#125—1461no—
1130#125C22×D7311yescharacteristic
1131#125C22×D7311yescharacteristic
1132#125C22×D7311yescharacteristic
1133#125C22×D7311yescharacteristic
1134#124—731no—
1135#124—731no—
1136#124—731no—
1137#124—731no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124—1461no—
1142#124—1461no—
1143#124—1461no—
1144#124—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158#123—1461no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—731no—
1163C22⋊Q8—731no—
1164C22⋊Q8—731no—
1165C22⋊Q8—731no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170#121—731no—
1171#121—731no—
1172#121—731no—
1173#121—731no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—1461no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#121—1461no—
1190#121—1461no—
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195C4×Q8—21no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—1461no—
1203C4×Q8—1461no—
1204C4×Q8—1461no—
1205C4×Q8C22×D7311yescharacteristic
1206C4×Q8C22×D7311yescharacteristic
1207C4×Q8C22×D7311yescharacteristic
1208C4×Q8C22×D7311yescharacteristic
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4C22×D7311yescharacteristic
1251C4×D4C22×D7311yescharacteristic
1252C4×D4C22×D7311yescharacteristic
1253#117—731no—
1254#117—731no—
1255#117—731no—
1256#117—731no—
1257#117—731no—
1258#117—731no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117—1461no—
1264#117—1461no—
1265#117—1461no—
1266C2×C4⋊C4—21no—
1267C2×C4⋊C4—731no—
1268C2×C4⋊C4—731no—
1269C2×C4⋊C4—731no—
1270C2×C4⋊C4—1461no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C42—731no—
1276C2×C42—731no—
1277C2×C42—731no—
1278C2×C42—1461no—
1279C2×C42—1461no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282#107—731no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107C22×D7311yescharacteristic
1287#107C22×D7311yescharacteristic
1288#107C22×D7311yescharacteristic
1289#107C22×D7311yescharacteristic
1290#106—731no—
1291#106—731no—
1292#106—731no—
1293#106C22×D7311yescharacteristic
1294#106C22×D7311yescharacteristic
1295#106C22×D7311yescharacteristic
1296#106C22×D7311yescharacteristic
1297#106C22×D7311yescharacteristic
1298C4⋊C8—731no—
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8C22×D7311yescharacteristic
1302C4⋊C8C22×D7311yescharacteristic
1303C4⋊C8C22×D7311yescharacteristic
1304#103—731no—
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103—731no—
1313#103C22×D7311yescharacteristic
1314#103C22×D7311yescharacteristic
1315#103C22×D7311yescharacteristic
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102C22×D7311yescharacteristic
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336C22⋊C8—731no—
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8—731no—
1342#97—731no—
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97C22×D7311yescharacteristic
1349#97C22×D7311yescharacteristic
1350C4×C8—731no—
1351C4×C8C22×D7311yescharacteristic
1352C24—1461no—
1353C24—1461no—
1354#41—2921no—
1355#41—2924no—
1356#41—2921no—
1357#41—2921no—
1358#41—2922no—
1359#41—5842no—
1360#41—1462no—
1361#41—1462no—
1362#41—1462no—
1363C2×Q8—21no—
1364C2×Q8—21no—
1365C2×Q8—2921no—
1366C2×Q8—731no—
1367C2×Q8—731no—
1368C2×Q8—1461no—
1369C2×Q8—1462no—
1370C2×Q8D4×D7311yescharacteristic
1371C2×Q8C23×D7311yescharacteristic
1372C2×D4—2924no—
1373C2×D4—2921no—
1374C2×D4—2921no—
1375C2×D4—731no—
1376C2×D4—731no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—1461no—
1383C2×D4—1461no—
1384C2×D4—1461no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1462no—
1396C2×D4—1462no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4C23×D7311yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—5842no—
1406C22×C4—5842no—
1407C22×C4—731no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—731no—
1414C22×C4—731no—
1415C22×C4—731no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432Q16—2921no—
1433Q16—1462no—
1434SD16—2921no—
1435SD16—2921no—
1436SD16—1462no—
1437SD16—1462no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441SD16#1192402914yescomplemented
1442D8—2921no—
1443D8—2921no—
1444D8—2921no—
1445D8—1462no—
1446D8—1462no—
1447D8—1462no—
1448M16—2921no—
1449M16—1462no—
1450C2×C8—2921no—
1451C2×C8—2921no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—1462no—
1457C2×C8—1462no—
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C2×C8C23×D7311yescharacteristic
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—731no—
1476C4⋊C4—731no—
1477C4⋊C4—731no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4D4×D7311yescharacteristic
1493C4⋊C4D4×D7311yescharacteristic
1494C4⋊C4D4×D7311yescharacteristic
1495C4⋊C4C23×D7311yescharacteristic
1496C4⋊C4C23×D7311yescharacteristic
1497C4⋊C4C23×D7311yescharacteristic
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—731no—
1505C22⋊C4—731no—
1506C22⋊C4—731no—
1507C22⋊C4—731no—
1508C22⋊C4—731no—
1509C22⋊C4—731no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—731no—
1546C42—731no—
1547C42—731no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—1461no—
1553C42—1461no—
1554C42—1461no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42C23×D7311yescharacteristic
1561C42C23×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C23—21no—
1564C23—2922no—
1565C23—2922no—
1566C23—2922no—
1567C23—2922no—
1568C23—5841no—
1569C23—5841no—
1570C23—731no—
1571C23—731no—
1572C23—731no—
1573C23—1461no—
1574C23—1461no—
1575C23—1461no—
1576C23—1461no—
1577Q8—21no—
1578Q8—41no—
1579Q8—42no—
1580Q8—81no—
1581Q8—2922no—
1582Q8—1461no—
1583Q8—1461no—
1584Q8—1461no—
1585Q8—1461no—
1586Q8C2×#1192402912yes—
1587D4—21no—
1588D4—2922no—
1589D4—2922no—
1590D4—2922no—
1591D4—2922no—
1592D4—2921no—
1593D4—2922no—
1594D4—2922no—
1595D4—2922no—
1596D4—2922no—
1597D4—2922no—
1598D4—2922no—
1599D4—2922no—
1600D4—5841no—
1601D4—5841no—
1602D4—5841no—
1603D4—5841no—
1604D4—5841no—
1605D4—5841no—
1606D4—1462no—
1607D4—1462no—
1608D4—1461no—
1609D4—1461no—
1610D4—1461no—
1611D4—1461no—
1612D4—1461no—
1613D4—1461no—
1614D4—1461no—
1615D4—1461no—
1616D4C2×#1192402912yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—42no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—2922no—
1628C2×C4—2922no—
1629C2×C4—2922no—
1630C2×C4—2921no—
1631C2×C4—2921no—
1632C2×C4—2921no—
1633C2×C4—2921no—
1634C2×C4—2921no—
1635C2×C4—2922no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—2922no—
1641C2×C4—5841no—
1642C2×C4—5841no—
1643C2×C4—5841no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—731no—
1649C2×C4—731no—
1650C2×C4—731no—
1651C2×C4—731no—
1652C2×C4—731no—
1653C2×C4—1462no—
1654C2×C4—1461no—
1655C2×C4—1461no—
1656C2×C4—1461no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4C2×D4×D7311yescharacteristic
1665C2×C4C2×D4×D7311yescharacteristic
1666C2×C4C2×D4×D7311yescharacteristic
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C24×D7311yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—1461no—
1675C8—1461no—
1676C8—1461no—
1677C8—1461no—
1678C8C2×#1192402912yes—
1679C22—22no—
1680C22—41no—
1681C22—41no—
1682C22—2921no—
1683C22—2921no—
1684C22—2921no—
1685C22—2921no—
1686C22—2921no—
1687C22—2921no—
1688C22—2921no—
1689C22—2921no—
1690C22—2921no—
1691C22—2921no—
1692C22—2921no—
1693C22—2921no—
1694C22—5844no—
1695C22—5844no—
1696C22—732no—
1697C22—1461no—
1698C22—1461no—
1699C22—1461no—
1700C22—1461no—
1701C22—1461no—
1702C22—1461no—
1703C22—1461no—
1704C22—1461no—
1705C22C22×D4×D7311yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—22no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—2921no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—1461no—
1724C4—1461no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4C22×#1192402911yescharacteristic
1729C4#1798942411yescharacteristic
1730C2—42no—
1731C2—2921no—
1732C2—2921no—
1733C2—5841no—
1734C2—5841no—
1735C2—5841no—
1736C2—5841no—
1737C2—1462no—
1738C2D4×#1192402911yescharacteristic
1739C2#575×D7311yescharacteristic
1740C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3388C2
socleC22×C73C23×D4
hypercenter#3388D73
hypocenterC73#61456
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3388

Complements

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

NH ≅ G/Ntype
1. #22623542C2semidirect
2. #22623531C2semidirect
3. #22623021C2semidirect
4. #22622699C2semidirect
5. #22622684C2semidirect
6. #22622475C2semidirect
7. #22622415C2semidirect
8. #22622332C2semidirect
9. #22622069C2semidirect
10. #22622039C2semidirect
11. #22621964C2semidirect
12. #22621934C2semidirect
13. #22621830C2semidirect
14. #22621778C2semidirect
15. #22621640C2semidirect
16. #22621473C2semidirect
17. #22621428C2semidirect
18. #22620662C2semidirect
19. #22620631C2semidirect
20. #22620631C2semidirect
21. #22620107C2semidirect
22. #22620085C2semidirect
23. #22620074C2semidirect
24. #22620047C2semidirect
25. #22620045C2semidirect
26. #22620024C2semidirect
27. #22618944C2semidirect
28. C4×#14556618C2semidirect
29. #22618726C2semidirect
30. #440×D73C2semidirect
31. C73×#3388C2semidirect
37. #17989322C22semidirect
39. #17989311C22semidirect
46. #17989290C22semidirect
50. #17989259C22semidirect
52. #17989249C22semidirect
59. #17989138C22semidirect
65. #17989122C22semidirect
66. #17989122C22semidirect
71. C4×#11924029C22semidirect
72. C4×#11924029C22semidirect
74. C4×Q8×D73C22semidirect
79. #17988976C22semidirect
80. #17988971C22semidirect
82. #17988953C22semidirect
83. #17988949C22semidirect
84. #17988949C22semidirect
85. #17988944C22semidirect
86. #17988944C22semidirect
87. #17988931C22semidirect
88. #17988930C22semidirect
89. #17988924C22semidirect
90. #17988919C22semidirect
92. #17988913C22semidirect
93. #17988913C22semidirect
94. #17988913C22semidirect
96. #17988907C22semidirect
97. #17988907C22semidirect
98. #17988902C22semidirect
99. #17988891C22semidirect
100. #17988891C22semidirect
101. #17988884C22semidirect
102. #17988884C22semidirect
103. #17988874C22semidirect
104. #17988864C22semidirect
105. #17988846C22semidirect
108. #17988834C22semidirect
111. #17988824C22semidirect
112. #17988824C22semidirect
113. #17988817C22semidirect
114. #17988817C22semidirect
115. #17988817C22semidirect
116. #17988817C22semidirect
117. #17988810C22semidirect
118. #17988810C22semidirect
119. #17988809C22semidirect
120. #17988809C22semidirect
121. #17988803C22semidirect
122. #17988803C22semidirect
127. #17988783C22semidirect
129. #17988752C22semidirect
131. #17988744C22semidirect
134. #17988735C22semidirect
135. #17988735C22semidirect
141. #17988718C22semidirect
142. #17988698C22semidirect
143. #17988698C22semidirect
144. #17988698C22semidirect
145. #17988698C22semidirect
149. #17988693C22semidirect
150. #17988692C22semidirect
151. #17988691C22semidirect
152. #17988690C22semidirect
153. #17988690C22semidirect
154. #17988689C22semidirect
155. #17988689C22semidirect
158. #17988686C22semidirect
159. #17988686C22semidirect
160. #17988686C22semidirect
161. #17988686C22semidirect
162. #17988685C22semidirect
164. C4×#11924015C22semidirect
165. C4×D584C22semidirect
168. #17988660C22semidirect
170. #17988657C22semidirect
171. C8×D292C22semidirect
172. #17988652C22semidirect
173. #17988643C22semidirect
174. #17988643C22semidirect
175. #17988643C22semidirect
176. #17988626C22semidirect
177. #17988624C22semidirect
178. #107×D73C22semidirect
180. #17988587C22semidirect
181. #17988582C22semidirect
183. #103×D73C22semidirect
185. C4×#11924011C22semidirect
186. #97×D73C22semidirect
187. #97×D73C22semidirect
188. #557×C73C22semidirect
190. #501×C73C22semidirect
191. #501×C73C22semidirect
192. #499×C73C22semidirect
193. #479×C73C22semidirect
194. #479×C73C22semidirect
198. #475×C73C22semidirect
199. #446×C73C22semidirect
656. SD16×C73#41semidirect
874. #3388D73semidirect
902. C73#61456semidirect
909. #557C2×D73semidirect
951. #501C2×D73semidirect
952. #501C2×D73semidirect
953. #499C2×D73semidirect
977. #479C2×D73semidirect
978. #479C2×D73semidirect
985. #475C2×D73semidirect
1024. #446C2×D73semidirect
1441. SD16#11924029semidirect

Maximal subgroups

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

subgroupindex
#226235422
#226235312
#226230212
#226226992
#226226842
#226224752
#226224152
#226223322
#226220692
#226220392
#226219642
#226219342
#226218302
#226217782
#226216402
#226214732
#226214282
#226206622
#226206312
#226201072
#226200852
#226200742
#226200472
#226200452
#226200242
#226189442
C4×#145566182
#226187262
#440×D732
C73×#33882
#6145673