Finite Group Databasebeta

← #33968053

Subgroups — #33968053

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#22623540C211yesmaximal, characteristic, complemented
2#22623531C211yesmaximal, characteristic, complemented
3#22623015C211yesmaximal, characteristic, complemented
4#22622870C211yesmaximal, characteristic, complemented
5#22622686C211yesmaximal, characteristic, complemented
6#22622483C211yesmaximal, characteristic, complemented
7#22622423C211yesmaximal, characteristic, complemented
8#22622330C211yesmaximal, characteristic, complemented
9#22622071C211yesmaximal, characteristic, complemented
10#22622047C211yesmaximal, characteristic, complemented
11#22621966C211yesmaximal, characteristic, complemented
12#22621942C211yesmaximal, characteristic, complemented
13#22621838C211yesmaximal, characteristic, complemented
14#22621780C211yesmaximal, characteristic, complemented
15#22621633C211yesmaximal, characteristic, complemented
16#22621466C211yesmaximal, characteristic, complemented
17#22621421C211yesmaximal, characteristic, complemented
18#22620659C211yesmaximal, characteristic, complemented
19#22620632C211yesmaximal, characteristic, complemented
20#22620628C211yesmaximal, characteristic, complemented
21#22620101C211yesmaximal, characteristic, complemented
22#22620081C211yesmaximal, characteristic, complemented
23#22620074C211yesmaximal, characteristic, complemented
24#22620047C211yesmaximal, characteristic, complemented
25#22620039C211yesmaximal, characteristic, complemented
26#22620024C211yesmaximal, characteristic, complemented
27#22618944C211yesmaximal, characteristic, complemented
28C4×#14556618C211yesmaximal, characteristic, complemented
29#22618730C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3371C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556614C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989322—21no—
36#17989322C2211yescharacteristic, complemented
37#17989311—21no—
38#17989311C2211yescharacteristic, complemented
39#17989297C2211yescharacteristic
40#17989297C2211yescharacteristic
41#17989290—21no—
42#17989290—21no—
43#17989290C2211yescharacteristic
44#17989290C2211yescharacteristic, complemented
45#17989287—21no—
46#17989287C2211yescharacteristic
47#17989287C2211yescharacteristic
48#17989265—21no—
49#17989265—21no—
50#17989259C2211yescharacteristic, complemented
51#17989249C2211yescharacteristic
52#17989249C2211yescharacteristic, complemented
53#17989230—21no—
54#17989230C2211yescharacteristic
55#17989230C2211yescharacteristic
56#17989222C2211yescharacteristic
57#17989138—21no—
58#17989138C2211yescharacteristic, complemented
59#17989135C2211yescharacteristic
60#17989122—21no—
61#17989122—21no—
62#17989122C2211yescharacteristic, complemented
63#17989122C2211yescharacteristic, complemented
64#17989116—21no—
65#17989116C2211yescharacteristic
66#17989116C2211yescharacteristic
67#17989095—21no—
68#17989095—21no—
69C4×#11924029—21no—
70C4×#11924029C2211yescharacteristic
71C4×#11924029C2211yescharacteristic
72C4×#11924029C2211yescharacteristic, complemented
73C4×#11924029C2211yescharacteristic, complemented
74C4×Q8×D73C2211yescharacteristic, complemented
75C4×D4×D73—21no—
76C4×D4×D73C2211yescharacteristic
77C4×D4×D73C2211yescharacteristic
78#17988997C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988986C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988974C2211yescharacteristic
83#17988969C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988947C2211yescharacteristic, complemented
86#17988942C2211yescharacteristic, complemented
87#17988931C2211yescharacteristic, complemented
88#17988927C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988919C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988910C2211yescharacteristic
93#17988909C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic, complemented
96#17988907C2211yescharacteristic, complemented
97#17988904C2211yescharacteristic
98#17988902C2211yescharacteristic, complemented
99#17988895C2211yescharacteristic, complemented
100#17988894C2211yescharacteristic, complemented
101#17988894C2211yescharacteristic, complemented
102#17988888C2211yescharacteristic, complemented
103#17988884C2211yescharacteristic
104#17988884C2211yescharacteristic
105#17988874C2211yescharacteristic
106#17988872C2211yescharacteristic, complemented
107#17988868C2211yescharacteristic, complemented
108#17988844C2211yescharacteristic, complemented
109#17988839C2211yescharacteristic
110#17988836C2211yescharacteristic, complemented
111#17988832C2211yescharacteristic
112#17988822C2211yescharacteristic
113#17988822C2211yescharacteristic
114#17988822C2211yescharacteristic, complemented
115#17988822C2211yescharacteristic, complemented
116#17988819C2211yescharacteristic, complemented
117#17988819C2211yescharacteristic, complemented
118#17988815C2211yescharacteristic, complemented
119#17988815C2211yescharacteristic, complemented
120#17988809C2211yescharacteristic, complemented
121#17988806C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic
123#17988803C2211yescharacteristic
124#17988802C2211yescharacteristic, complemented
125#17988799C2211yescharacteristic, complemented
126#17988783C2211yescharacteristic
127#17988782C2211yescharacteristic, complemented
128#17988779C2211yescharacteristic
129#17988752C2211yescharacteristic
130#17988748C2211yescharacteristic, complemented
131#17988741C2211yescharacteristic, complemented
132#17988739C2211yescharacteristic
133#17988735C2211yescharacteristic
134#17988731C2211yescharacteristic
135#17988731C2211yescharacteristic, complemented
136#17988731C2211yescharacteristic, complemented
137#17988724C2211yescharacteristic
138#17988722C2211yescharacteristic
139#17988722C2211yescharacteristic
140#17988722C2211yescharacteristic
141#17988718C2211yescharacteristic, complemented
142#17988700C2211yescharacteristic
143#17988698C2211yescharacteristic
144#17988698C2211yescharacteristic
145#17988696C2211yescharacteristic, complemented
146#17988696C2211yescharacteristic, complemented
147#17988696C2211yescharacteristic, complemented
148#17988696C2211yescharacteristic, complemented
149#17988694C2211yescharacteristic, complemented
150#17988691C2211yescharacteristic, complemented
151#17988690C2211yescharacteristic
152#17988690C2211yescharacteristic, complemented
153#17988690C2211yescharacteristic, complemented
154#17988689C2211yescharacteristic
155#17988688C2211yescharacteristic, complemented
156#17988688C2211yescharacteristic, complemented
157#17988687C2211yescharacteristic, complemented
158#17988686C2211yescharacteristic
159#17988685C2211yescharacteristic
160#17988685C2211yescharacteristic
161#17988685C2211yescharacteristic, complemented
162#17988684C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164C4×#11924015C2211yescharacteristic
165C4×D584C2211yescharacteristic
166C4×#11924013C2211yescharacteristic, complemented
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#17988622C2211yescharacteristic, complemented
178#107×D73C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic
180#17988587C2211yescharacteristic, complemented
181#17988582C2211yescharacteristic
182#17988582C2211yescharacteristic, complemented
183#103×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic
185C4×#11924011C2211yescharacteristic, complemented
186#97×D73C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#559×C73C2211yescharacteristic
189#557×C73C2211yescharacteristic, complemented
190#490×C73C2211yescharacteristic
191#489×C73C2211yescharacteristic, complemented
192#488×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#478×C73C2211yescharacteristic, complemented
195#476×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#464×C73C2211yescharacteristic, complemented
198#460×C73C2211yescharacteristic
199#446×C73C2211yescharacteristic, complemented
200#441×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202C4×SD16×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029D411yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924027—21no—
209C2×Q8×D73C2311yescharacteristic
210C2×D4×D73—21no—
211C2×D4×D73C2311yescharacteristic
212C2×D4×D73C2311yescharacteristic
213C22×C4×D73—21no—
214C22×C4×D73—21no—
215#14556618—24no—
216#14556614—24no—
217C2×#11924018C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224SD16×D73—24no—
225C2×D584C2311yescharacteristic
226C2×D584C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924011C2311yescharacteristic
232C2×#11924011C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234C2×C8×D73C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236C2×C8×D73C2311yescharacteristic
237#14556591C2311yescharacteristic
238#14556588—21no—
239#14556588C2311yescharacteristic
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556586—21no—
244#14556586—21no—
245#14556586—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556583—21no—
251#14556583C2311yescharacteristic
252#14556583C2311yescharacteristic
253#14556580—21no—
254#14556580—21no—
255#14556580—21no—
256#14556579—21no—
257#14556579—21no—
258#14556579C2311yescharacteristic
259#14556579C2311yescharacteristic
260#14556578—21no—
261#14556576—21no—
262#14556576—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556574—21no—
268#14556574—21no—
269#14556573—21no—
270#14556573—21no—
271#14556573—21no—
272#14556573—21no—
273#14556571—21no—
274#14556571—21no—
275#14556571C2311yescharacteristic
276#14556571C2311yescharacteristic
277#14556569—21no—
278#14556569—21no—
279#14556569—21no—
280#14556569—21no—
281#14556567—21no—
282#14556567C2311yescharacteristic
283#14556567C2311yescharacteristic
284#14556566—21no—
285#14556566—21no—
286#14556566—21no—
287#14556566—21no—
288#14556566—21no—
289#14556566—21no—
290#14556566—21no—
291#14556566C2311yescharacteristic
292#14556566C2311yescharacteristic
293#14556566C2311yescharacteristic
294#14556566C2311yescharacteristic
295#14556564—21no—
296#14556564—21no—
297#14556564—21no—
298#14556564—21no—
299#14556562—21no—
300#14556562—21no—
301#14556562C2311yescharacteristic
302#14556562C2311yescharacteristic
303#14556562C2311yescharacteristic
304#14556562C2311yescharacteristic
305#14556561—21no—
306#14556561—21no—
307#14556559—21no—
308#14556559—21no—
309Q8×Dic73—21no—
310Q8×Dic73D411yescharacteristic
311Q8×Dic73C2311yescharacteristic
312Q8×Dic73C2311yescharacteristic
313C4×Dic146—21no—
314C4×Dic146C2311yescharacteristic
315#14556556—21no—
316#14556556C2311yescharacteristic
317C4×D292—21no—
318C4×D292—21no—
319C4×D292—21no—
320C4×D292—21no—
321C4×D292—21no—
322C4×D292—21no—
323C4×D292—21no—
324C4×D292C2311yescharacteristic
325C4×D292C2311yescharacteristic
326C4×D292C2311yescharacteristic
327C4×D292C2311yescharacteristic
328C4×D292C2311yescharacteristic
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331C4×D292C2311yescharacteristic
332D4×Dic73—21no—
333D4×Dic73C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
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#14556553D411yescharacteristic
345#14556553D411yescharacteristic
346#14556553D411yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556549—21no—
359#14556549—21no—
360#14556549—21no—
361#14556549—21no—
362#14556549—21no—
363#14556549D411yescharacteristic
364#14556549D411yescharacteristic
365#14556549D411yescharacteristic
366#14556549C2311yescharacteristic
367#14556549C2311yescharacteristic
368#14556549C2311yescharacteristic
369#14556547—21no—
370#14556547—21no—
371C4⋊C4×D73—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73C2311yescharacteristic
374C4⋊C4×D73C2311yescharacteristic
375C4⋊C4×D73C2311yescharacteristic
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C42×D73—21no—
381C42×D73—21no—
382C42×D73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385C42×D73C2311yescharacteristic
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
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×Q16×C73C2311yescharacteristic
439C2×SD16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C4⋊Q8×C73—21no—
442C4⋊Q8×C73C2311yescharacteristic
443#127×C73C2311yescharacteristic
444#125×C73—21no—
445#125×C73—21no—
446#125×C73C2311yescharacteristic
447#125×C73C2311yescharacteristic
448#124×C73—21no—
449#124×C73C2311yescharacteristic
450#124×C73C2311yescharacteristic
451#123×C73—21no—
452#123×C73—21no—
453C4×Q8×C73—21no—
454C4×Q8×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×Q8×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×Q8×C73C2311yescharacteristic
459C4×D4×C73—21no—
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465C4⋊C8×C73C2311yescharacteristic
466C4⋊C8×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×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—22no—
486#11924029—42no—
487#11924029—41no—
488#11924029—41no—
489#11924029—41no—
490#11924029—44no—
491#11924027—82no—
492C2×Dic146—21no—
493C2×Dic146—21no—
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×D292C2×D411yescharacteristic
507C2×D292C2×D411yescharacteristic
508C2×D292C2×D411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×D292C2411yescharacteristic
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518D4×D73—22no—
519D4×D73—22no—
520D4×D73—41no—
521D4×D73—41no—
522D4×D73—44no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—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—82no—
541C2×C4×D73—82no—
542C2×C4×D73C2×D411yescharacteristic
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2×D411yescharacteristic
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2411yescharacteristic
549C2×C4×D73C2411yescharacteristic
550C2×C4×D73C2411yescharacteristic
551#11924018—41no—
552#11924017—22no—
553#11924016—22no—
554#11924016—41no—
555#11924015—22no—
556#11924015—41no—
557#11924015#4114yescomplemented
558D584—22no—
559D584—22no—
560#11924013—22no—
561#11924013—41no—
562#11924013—41no—
563#11924013—41no—
564#11924011—22no—
565#11924011—41no—
566C2×#10596831C2411yescharacteristic
567C2×#10596831C2411yescharacteristic
568C2×#10596831C2411yescharacteristic
569C2×#10596831C2411yescharacteristic
570C8×D73—22no—
571C8×D73—22no—
572C8×D73—41no—
573C8×D73—41no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73C2×D411yescharacteristic
580C4⋊Dic73C2×D411yescharacteristic
581C4⋊Dic73C2×D411yescharacteristic
582C4⋊Dic73C2411yescharacteristic
583C4⋊Dic73C2411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—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#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C2×Q8×C73—21no—
647C2×Q8×C73C2×D411yescharacteristic
648C2×Q8×C73C2411yescharacteristic
649C2×Q8×C73C2411yescharacteristic
650C2×D4×C73—21no—
651C2×D4×C73—21no—
652C2×D4×C73C2411yescharacteristic
653C2×D4×C73C2411yescharacteristic
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656Q16×C73—22no—
657SD16×C73—22no—
658SD16×C73—22no—
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
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×C73C2×D411yescharacteristic
673C4⋊C4×C73C2×D411yescharacteristic
674C4⋊C4×C73C2×D411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C42×C73—21no—
686C42×C73—21no—
687C42×C73—21no—
688C42×C73—21no—
689C42×C73C2411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—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—21no—
708Q8×C73—21no—
709Q8×C73—41no—
710Q8×C73—42no—
711Q8×C73C2×#4112yes—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—42no—
717D4×C73—81no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—81no—
725C2×C4×C73—81no—
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C2511yescharacteristic
733C22⋊D73—42no—
734C22⋊D73—42no—
735C22⋊D73—42no—
736C22⋊D73—42no—
737C22⋊D73—81no—
738C22⋊D73—81no—
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—21no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—42no—
745C2×Dic73—42no—
746C2×Dic73C22×D411yescharacteristic
747C2×Dic73C22×D411yescharacteristic
748C2×Dic73C22×D411yescharacteristic
749C2×Dic73C22×D411yescharacteristic
750C2×Dic73C22×D411yescharacteristic
751D292—22no—
752D292—22no—
753D292—21no—
754D292—21no—
755D292—21no—
756D292—21no—
757D292—21no—
758D292—41no—
759D292—42no—
760D292—42no—
761D292—42no—
762D292—42no—
763D292—42no—
764D292—42no—
765D292—81no—
766D292—81no—
767D292—81no—
768D292C2×#4112yes—
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—42no—
789C4×D73—81no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796Dic146—21no—
797Dic146—21no—
798Dic146—42no—
799Dic146—81no—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73—21no—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831C2×#4112yes—
808C22×C73—41no—
809C22×C73—41no—
810C22×C73—41no—
811C22×C73—41no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73C23×D411yescharacteristic
815C2×D73—21no—
816C2×D73—21no—
817C2×D73—21no—
818C2×D73—21no—
819C2×D73—21no—
820C2×D73—21no—
821C2×D73—22no—
822C2×D73—21no—
823C2×D73—21no—
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×C73C22×#4111yescharacteristic
848C4×C73#58511yescharacteristic
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—41no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859#61456—731nomaximal, Sylow
860C2×C73—81no—
861C2×C73—81no—
862C2×C73D4×#4111yescharacteristic
863C2×C73C2×#57511yescharacteristic
864C2×C73#358511yescharacteristic
865D73—22no—
866D73—41no—
867D73—41no—
868D73—42no—
869D73—81no—
870D73—81no—
871#3481—731no—
872#3480—731no—
873#3403—731no—
874#3388—731no—
875#3371D7311yescharacteristic, complemented
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—1461no—
908#559C2×D7311yescharacteristic
909#557C2×D7311yescharacteristic, complemented
910#556—731no—
911#556—1461no—
912#554—731no—
913#554—731no—
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#501—731no—
952#501—731no—
953#499—731no—
954#496—731no—
955#496—731no—
956#495—731no—
957#490—731no—
958#490C2×D7311yescharacteristic
959#489—731no—
960#489C2×D7311yescharacteristic, complemented
961#488—731no—
962#488C2×D7311yescharacteristic, complemented
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#479—731no—
978#479C2×D7311yescharacteristic, complemented
979#478—731no—
980#478—731no—
981#478—731no—
982#478C2×D7311yescharacteristic, complemented
983#476—731no—
984#476C2×D7311yescharacteristic, complemented
985#475—731no—
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#464C2×D7311yescharacteristic, complemented
1002#464C2×D7311yescharacteristic, complemented
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#460C2×D7311yescharacteristic
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#441C2×D7311yescharacteristic, complemented
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#440—731no—
1048#440C2×D7311yescharacteristic, complemented
1049C4×SD16—731no—
1050C4×SD16C2×D7311yescharacteristic, complemented
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×Q16C22×D7311yescharacteristic
1090C2×SD16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—1464no—
1097C2×SD16C22×D7311yescharacteristic
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⋊Q8—731no—
1113C4⋊Q8C22×D7311yescharacteristic
1114#127—731no—
1115#127—1461no—
1116#127C22×D7311yescharacteristic
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—731no—
1130#125—731no—
1131#125—1461no—
1132#125C22×D7311yescharacteristic
1133#125C22×D7311yescharacteristic
1134#124—21no—
1135#124—731no—
1136#124—731no—
1137#124—1461no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124—1461no—
1142#124—1461no—
1143#124C22×D7311yescharacteristic
1144#124C22×D7311yescharacteristic
1145#123—21no—
1146#123—21no—
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—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
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—1461no—
1202C4×Q8—1461no—
1203C4×Q8—1461no—
1204C4×Q8C22×D7311yescharacteristic
1205C4×Q8C22×D7311yescharacteristic
1206C4×Q8C22×D7311yescharacteristic
1207C4×Q8C22×D7311yescharacteristic
1208C4×Q8C22×D7311yescharacteristic
1209C4×D4—21no—
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—731no—
1225C4×D4—731no—
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×D4—1461no—
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—731no—
1267C2×C4⋊C4—731no—
1268C2×C4⋊C4—731no—
1269C2×C4⋊C4—1461no—
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#107—731no—
1287#107—731no—
1288#107—731no—
1289#107C22×D7311yescharacteristic
1290#106—731no—
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
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#103C22×D7311yescharacteristic
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#102C22×D7311yescharacteristic
1331#102C22×D7311yescharacteristic
1332#102C22×D7311yescharacteristic
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—2924no—
1355#41—2921no—
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—2921no—
1365C2×Q8—731no—
1366C2×Q8—1461no—
1367C2×Q8—1462no—
1368C2×Q8—1461no—
1369C2×Q8D4×D7311yescharacteristic
1370C2×Q8C23×D7311yescharacteristic
1371C2×Q8C23×D7311yescharacteristic
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—2924no—
1375C2×D4—2921no—
1376C2×D4—2921no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—731no—
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—1462no—
1393C2×D4—1462no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4C23×D7311yescharacteristic
1401C2×D4C23×D7311yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—5842no—
1405C22×C4—5842no—
1406C22×C4—731no—
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—1461no—
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—22no—
1433Q16—2921no—
1434SD16—22no—
1435SD16—22no—
1436SD16—2921no—
1437SD16—2921no—
1438SD16—734no—
1439SD16—1462no—
1440SD16—1462no—
1441SD16—1462no—
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—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
1474C4⋊C4—731no—
1475C4⋊C4—731no—
1476C4⋊C4—731no—
1477C4⋊C4—731no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
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⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4D4×D7311yescharacteristic
1495C4⋊C4D4×D7311yescharacteristic
1496C4⋊C4D4×D7311yescharacteristic
1497C4⋊C4C23×D7311yescharacteristic
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—731no—
1508C22⋊C4—731no—
1509C22⋊C4—731no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
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—21no—
1546C42—731no—
1547C42—731no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—1461no—
1554C42—1461no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42C23×D7311yescharacteristic
1561C42C23×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C23—21no—
1564C23—21no—
1565C23—2922no—
1566C23—2922no—
1567C23—2922no—
1568C23—2922no—
1569C23—5841no—
1570C23—5841no—
1571C23—731no—
1572C23—731no—
1573C23—731no—
1574C23—1461no—
1575C23—1461no—
1576C23—1461no—
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—41no—
1581Q8—42no—
1582Q8—2922no—
1583Q8—5841no—
1584Q8—1461no—
1585Q8—1461no—
1586Q8#41×D7312yes—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—42no—
1592D4—81no—
1593D4—2922no—
1594D4—2922no—
1595D4—2922no—
1596D4—2921no—
1597D4—2922no—
1598D4—2922no—
1599D4—2922no—
1600D4—2922no—
1601D4—2922no—
1602D4—2922no—
1603D4—2922no—
1604D4—5841no—
1605D4—5841no—
1606D4—5841no—
1607D4—5841no—
1608D4—5841no—
1609D4—732no—
1610D4—1462no—
1611D4—1462no—
1612D4—1461no—
1613D4—1461no—
1614D4—1461no—
1615D4—1461no—
1616D4—1461no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—2922no—
1626C2×C4—2922no—
1627C2×C4—2922no—
1628C2×C4—2922no—
1629C2×C4—2921no—
1630C2×C4—2921no—
1631C2×C4—2921no—
1632C2×C4—2921no—
1633C2×C4—2921no—
1634C2×C4—2922no—
1635C2×C4—2922no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—5841no—
1641C2×C4—5841no—
1642C2×C4—5841no—
1643C2×C4—5841no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—731no—
1648C2×C4—731no—
1649C2×C4—731no—
1650C2×C4—731no—
1651C2×C4—731no—
1652C2×C4—1462no—
1653C2×C4—1461no—
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—21no—
1675C8—732no—
1676C8—1461no—
1677C8—1461no—
1678C8—1461no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—2921no—
1686C22—2921no—
1687C22—2921no—
1688C22—2921no—
1689C22—2921no—
1690C22—2921no—
1691C22—2921no—
1692C22—2921no—
1693C22—5844no—
1694C22—5844no—
1695C22—732no—
1696C22—1461no—
1697C22—1461no—
1698C22—1462no—
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—2921no—
1719C4—2921no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—1461no—
1724C4—1461no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4C2×#41×D7311yescharacteristic
1729C4#1798942411yescharacteristic
1730C2—81no—
1731C2—81no—
1732C2—2922no—
1733C2—2921no—
1734C2—2921no—
1735C2—5841no—
1736C2—5841no—
1737C2—1462no—
1738C2#2262342011yescharacteristic
1739C2#575×D7311yescharacteristic
1740C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3371C2
socleC22×C73C23×D4
hypercenter#3371D73
hypocenterC73#61456
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3371

Complements

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

NH ≅ G/Ntype
1. #22623540C2semidirect
2. #22623531C2semidirect
3. #22623015C2semidirect
4. #22622870C2semidirect
5. #22622686C2semidirect
6. #22622483C2semidirect
7. #22622423C2semidirect
8. #22622330C2semidirect
9. #22622071C2semidirect
10. #22622047C2semidirect
11. #22621966C2semidirect
12. #22621942C2semidirect
13. #22621838C2semidirect
14. #22621780C2semidirect
15. #22621633C2semidirect
16. #22621466C2semidirect
17. #22621421C2semidirect
18. #22620659C2semidirect
19. #22620632C2semidirect
20. #22620628C2semidirect
21. #22620101C2semidirect
22. #22620081C2semidirect
23. #22620074C2semidirect
24. #22620047C2semidirect
25. #22620039C2semidirect
26. #22620024C2semidirect
27. #22618944C2semidirect
28. C4×#14556618C2semidirect
29. #22618730C2semidirect
30. #440×D73C2semidirect
31. C73×#3371C2semidirect
36. #17989322C22semidirect
38. #17989311C22semidirect
44. #17989290C22semidirect
50. #17989259C22semidirect
52. #17989249C22semidirect
58. #17989138C22semidirect
62. #17989122C22semidirect
63. #17989122C22semidirect
72. C4×#11924029C22semidirect
73. C4×#11924029C22semidirect
74. C4×Q8×D73C22semidirect
78. #17988997C22semidirect
79. #17988993C22semidirect
80. #17988986C22semidirect
81. #17988977C22semidirect
83. #17988969C22semidirect
84. #17988952C22semidirect
85. #17988947C22semidirect
86. #17988942C22semidirect
87. #17988931C22semidirect
88. #17988927C22semidirect
89. #17988921C22semidirect
90. #17988919C22semidirect
91. #17988914C22semidirect
93. #17988909C22semidirect
94. #17988909C22semidirect
95. #17988907C22semidirect
96. #17988907C22semidirect
98. #17988902C22semidirect
99. #17988895C22semidirect
100. #17988894C22semidirect
101. #17988894C22semidirect
102. #17988888C22semidirect
106. #17988872C22semidirect
107. #17988868C22semidirect
108. #17988844C22semidirect
110. #17988836C22semidirect
114. #17988822C22semidirect
115. #17988822C22semidirect
116. #17988819C22semidirect
117. #17988819C22semidirect
118. #17988815C22semidirect
119. #17988815C22semidirect
120. #17988809C22semidirect
121. #17988806C22semidirect
124. #17988802C22semidirect
125. #17988799C22semidirect
127. #17988782C22semidirect
130. #17988748C22semidirect
131. #17988741C22semidirect
135. #17988731C22semidirect
136. #17988731C22semidirect
141. #17988718C22semidirect
145. #17988696C22semidirect
146. #17988696C22semidirect
147. #17988696C22semidirect
148. #17988696C22semidirect
149. #17988694C22semidirect
150. #17988691C22semidirect
152. #17988690C22semidirect
153. #17988690C22semidirect
155. #17988688C22semidirect
156. #17988688C22semidirect
157. #17988687C22semidirect
161. #17988685C22semidirect
162. #17988684C22semidirect
163. #17988684C22semidirect
166. C4×#11924013C22semidirect
168. #17988660C22semidirect
170. #17988657C22semidirect
171. C8×D292C22semidirect
172. #17988652C22semidirect
173. #17988643C22semidirect
174. #17988643C22semidirect
175. #17988643C22semidirect
176. #17988626C22semidirect
177. #17988622C22semidirect
178. #107×D73C22semidirect
180. #17988587C22semidirect
182. #17988582C22semidirect
183. #103×D73C22semidirect
185. C4×#11924011C22semidirect
186. #97×D73C22semidirect
187. #97×D73C22semidirect
189. #557×C73C22semidirect
191. #489×C73C22semidirect
192. #488×C73C22semidirect
193. #479×C73C22semidirect
194. #478×C73C22semidirect
195. #476×C73C22semidirect
196. #464×C73C22semidirect
197. #464×C73C22semidirect
199. #446×C73C22semidirect
200. #441×C73C22semidirect
201. #440×C73C22semidirect
202. C4×SD16×C73C22semidirect
557. #11924015#41semidirect
875. #3371D73semidirect
902. C73#61456semidirect
909. #557C2×D73semidirect
960. #489C2×D73semidirect
962. #488C2×D73semidirect
978. #479C2×D73semidirect
982. #478C2×D73semidirect
984. #476C2×D73semidirect
1001. #464C2×D73semidirect
1002. #464C2×D73semidirect
1024. #446C2×D73semidirect
1034. #441C2×D73semidirect
1048. #440C2×D73semidirect
1050. C4×SD16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235402
#226235312
#226230152
#226228702
#226226862
#226224832
#226224232
#226223302
#226220712
#226220472
#226219662
#226219422
#226218382
#226217802
#226216332
#226214662
#226214212
#226206592
#226206322
#226206282
#226201012
#226200812
#226200742
#226200472
#226200392
#226200242
#226189442
C4×#145566182
#226187302
#440×D732
C73×#33712
#6145673