Finite Group Databasebeta

← #32877636

Subgroups — #32877636

Order 18176.

1912 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#22602210C211yesmaximal, characteristic, complemented
2#22602139C211yesmaximal, characteristic, complemented
3#22601135C211yesmaximal, characteristic, complemented
4#22601133C211yesmaximal, characteristic, complemented
5#22601095C211yesmaximal, characteristic, complemented
6#22601093C211yesmaximal, characteristic, complemented
7#22601088C211yesmaximal, characteristic, complemented
8#22601086C211yesmaximal, characteristic, complemented
9#22601050C211yesmaximal, characteristic, complemented
10#22601048C211yesmaximal, characteristic, complemented
11#22601044C211yesmaximal, characteristic, complemented
12#22601043C211yesmaximal, characteristic, complemented
13#22601042C211yesmaximal, characteristic, complemented
14#22601003C211yesmaximal, characteristic, complemented
15#22601001C211yesmaximal, characteristic, complemented
16#22600972C211yesmaximal, characteristic, complemented
17#22600970C211yesmaximal, characteristic, complemented
18#22598713C211yesmaximal, characteristic, complemented
19#22598695C211yesmaximal, characteristic, complemented
20#22598689C211yesmaximal, characteristic, complemented
21#22598168C211yesmaximal, characteristic, complemented
22#22598166C211yesmaximal, characteristic, complemented
23#22598125C211yesmaximal, characteristic, complemented
24#22597838C211yesmaximal, characteristic, complemented
25#22597838C211yesmaximal, characteristic, complemented
26#459×D71C211yesmaximal, characteristic, complemented
27#22597285C211yesmaximal, characteristic, complemented
28#22597189C211yesmaximal, characteristic, complemented
29#22597187C211yesmaximal, characteristic, complemented
30#22597151C211yesmaximal, characteristic, complemented
31C71×#3366C211yesmaximal, characteristic, complemented
32C2×#14556152C2211yescharacteristic
33C2×D8×D71C2211yescharacteristic
34C2×D8×D71C2211yescharacteristic
35#17986735C2211yescharacteristic, complemented
36#17986734C2211yescharacteristic, complemented
37#17986732C2211yescharacteristic, complemented
38#17986732C2211yescharacteristic, complemented
39#17986709C2211yescharacteristic, complemented
40#17986708C2211yescharacteristic, complemented
41#17986708C2211yescharacteristic, complemented
42#17986705C2211yescharacteristic, complemented
43#17986705C2211yescharacteristic, complemented
44#17986704—21no—
45#17986703—21no—
46#17986703—21no—
47#17986670C2211yescharacteristic, complemented
48#17986669C2211yescharacteristic, complemented
49#17986669C2211yescharacteristic, complemented
50D4×Dic142C2211yescharacteristic, complemented
51#17986664C2211yescharacteristic, complemented
52#17986662—21no—
53#17986646—21no—
54#17986638—21no—
55#17986638—21no—
56#17986637—21no—
57#17986629C2211yescharacteristic
58#17986626C2211yescharacteristic
59#17986624—21no—
60#17986624—21no—
61#17986599—21no—
62#17986599—21no—
63#17986562C2211yescharacteristic
64#17986562C2211yescharacteristic
65#17986555C2211yescharacteristic
66#17986553C2211yescharacteristic
67#17986545—21no—
68#17986544—21no—
69#127×D71C2211yescharacteristic
70C2×#14556106—21no—
71C22⋊Q8×D71—21no—
72#17986471C2211yescharacteristic
73#17986471C2211yescharacteristic
74#17986471C2211yescharacteristic
75#17986471C2211yescharacteristic
76C4×#11765864C2211yescharacteristic
77C4×D4×D71C2211yescharacteristic
78#17986365C2211yescharacteristic, complemented
79#17986364C2211yescharacteristic, complemented
80#17986363C2211yescharacteristic, complemented
81#17986363C2211yescharacteristic, complemented
82#17986362C2211yescharacteristic, complemented
83#17986362C2211yescharacteristic, complemented
84#17986361C2211yescharacteristic, complemented
85#17986359C2211yescharacteristic, complemented
86#17986357C2211yescharacteristic, complemented
87#17986357C2211yescharacteristic, complemented
88#17986356C2211yescharacteristic, complemented
89#17986354C2211yescharacteristic, complemented
90#17986352C2211yescharacteristic, complemented
91#17986352C2211yescharacteristic, complemented
92#17986345C2211yescharacteristic, complemented
93#17986344C2211yescharacteristic, complemented
94#17986344C2211yescharacteristic, complemented
95#17986344C2211yescharacteristic, complemented
96#17986344C2211yescharacteristic, complemented
97#17986344C2211yescharacteristic, complemented
98#17986344C2211yescharacteristic, complemented
99#17986307C2211yescharacteristic, complemented
100#17986303C2211yescharacteristic, complemented
101#17986302C2211yescharacteristic, complemented
102#17986301C2211yescharacteristic, complemented
103#17986300C2211yescharacteristic, complemented
104#17986299C2211yescharacteristic, complemented
105#17986299C2211yescharacteristic, complemented
106#17986298C2211yescharacteristic, complemented
107#17986297C2211yescharacteristic, complemented
108#17986296C2211yescharacteristic, complemented
109#17986293C2211yescharacteristic, complemented
110#17986289C2211yescharacteristic, complemented
111#17986288C2211yescharacteristic, complemented
112#17986288C2211yescharacteristic, complemented
113#17986287C2211yescharacteristic, complemented
114#17986283C2211yescharacteristic, complemented
115#17986280C2211yescharacteristic, complemented
116#17986277C2211yescharacteristic, complemented
117#17986277C2211yescharacteristic, complemented
118#17986277C2211yescharacteristic, complemented
119#17986276C2211yescharacteristic, complemented
120#17986215C2211yescharacteristic, complemented
121#17986215C2211yescharacteristic, complemented
122#17986214C2211yescharacteristic, complemented
123#17986214C2211yescharacteristic, complemented
124#17986213C2211yescharacteristic, complemented
125#17986213C2211yescharacteristic, complemented
126#17986212C2211yescharacteristic, complemented
127#17986212C2211yescharacteristic, complemented
128#17986195C2211yescharacteristic
129#17986194C2211yescharacteristic
130#17986193C2211yescharacteristic
131#17986193C2211yescharacteristic
132#17986193C2211yescharacteristic, complemented
133#17986193C2211yescharacteristic, complemented
134#17986192C2211yescharacteristic
135#17986192C2211yescharacteristic
136#17986192C2211yescharacteristic, complemented
137#17986192C2211yescharacteristic, complemented
138#17986191C2211yescharacteristic
139#17986191C2211yescharacteristic, complemented
140#17986191C2211yescharacteristic, complemented
141#17986130C2211yescharacteristic, complemented
142#17986128C2211yescharacteristic, complemented
143#17986128C2211yescharacteristic, complemented
144#17986127C2211yescharacteristic, complemented
145#17986127C2211yescharacteristic, complemented
146C8×Dic142C2211yescharacteristic, complemented
147#17986123C2211yescharacteristic, complemented
148#17986112C2211yescharacteristic, complemented
149#17986111C2211yescharacteristic, complemented
150#17986110C2211yescharacteristic, complemented
151#17986109C2211yescharacteristic, complemented
152#17986109C2211yescharacteristic, complemented
153#17986109C2211yescharacteristic, complemented
154#17986108C2211yescharacteristic, complemented
155#17986108C2211yescharacteristic, complemented
156#17986101C2211yescharacteristic, complemented
157#17986099C2211yescharacteristic, complemented
158#17986090C2211yescharacteristic, complemented
159#17986086C2211yescharacteristic, complemented
160C4×D568C2211yescharacteristic, complemented
161D8×Dic71C2211yescharacteristic, complemented
162D8×Dic71C2211yescharacteristic, complemented
163#17986081C2211yescharacteristic, complemented
164C4×#11765850C2211yescharacteristic, complemented
165C4×#11765850C2211yescharacteristic, complemented
166#17986079C2211yescharacteristic, complemented
167#17986079C2211yescharacteristic, complemented
168#17986079C2211yescharacteristic, complemented
169#17986038C2211yescharacteristic
170#17986036C2211yescharacteristic
171#17986034C2211yescharacteristic
172#17986024C2211yescharacteristic
173#17986024C2211yescharacteristic
174C4⋊C8×D71C2211yescharacteristic
175#17986002C2211yescharacteristic
176#17986002C2211yescharacteristic
177#17986002C2211yescharacteristic
178#17986002C2211yescharacteristic
179#17986002C2211yescharacteristic
180#17985997C2211yescharacteristic
181#17985992C2211yescharacteristic
182#17985992C2211yescharacteristic
183#102×D71C2211yescharacteristic
184#102×D71C2211yescharacteristic
185#17985956C2211yescharacteristic
186#17985953C2211yescharacteristic
187#17985951C2211yescharacteristic
188#554×C71C2211yescharacteristic, complemented
189#550×C71C2211yescharacteristic, complemented
190#490×C71C2211yescharacteristic, complemented
191#490×C71C2211yescharacteristic, complemented
192#486×C71C2211yescharacteristic, complemented
193#478×C71C2211yescharacteristic, complemented
194#478×C71C2211yescharacteristic, complemented
195#476×C71C2211yescharacteristic, complemented
196#459×C71C2211yescharacteristic
197#459×C71C2211yescharacteristic, complemented
198#459×C71C2211yescharacteristic, complemented
199#446×C71C2211yescharacteristic, complemented
200#442×C71C2211yescharacteristic, complemented
201#442×C71C2211yescharacteristic, complemented
202C4×D8×C71C2211yescharacteristic, complemented
203C2×#11765865—21no—
204C2×#11765864—21no—
205C2×#11765864—21no—
206C2×#11765864C2311yescharacteristic
207C22×Dic142—21no—
208C2×Q8×D71—21no—
209C2×D4×D71—21no—
210C2×D4×D71—21no—
211C2×D4×D71C2311yescharacteristic
212C2×D4×D71C2311yescharacteristic
213C2×D4×D71C2311yescharacteristic
214C22×C4×D71—21no—
215#14556152—24no—
216C2×#11765854C2311yescharacteristic
217C2×#11765853C2311yescharacteristic
218C2×D568C2311yescharacteristic
219C2×D568C2311yescharacteristic
220C2×#11765850C2311yescharacteristic
221C2×#11765850C2311yescharacteristic
222C2×#11765850C2311yescharacteristic
223C2×#11765850C2311yescharacteristic
224C2×#11765850C2311yescharacteristic
225D8×D71—24no—
226D8×D71—24no—
227C2×#11765848C2311yescharacteristic
228C2×#11765848C2311yescharacteristic
229C2×C8×D71C2311yescharacteristic
230C2×C8×D71C2311yescharacteristic
231#14556128C2311yescharacteristic
232#14556127—21no—
233#14556127D411yescharacteristic
234#14556127C2311yescharacteristic
235#14556127C2311yescharacteristic
236#14556127C2311yescharacteristic
237#14556127C2311yescharacteristic
238#14556126—21no—
239#14556126D411yescharacteristic
240#14556125C2311yescharacteristic
241#14556124—21no—
242#14556124—21no—
243#14556124C2311yescharacteristic
244#14556124C2311yescharacteristic
245#14556124C2311yescharacteristic
246#14556124C2311yescharacteristic
247#14556120C2311yescharacteristic
248#14556120C2311yescharacteristic
249#14556119C2311yescharacteristic
250#14556119C2311yescharacteristic
251#14556118—21no—
252#14556118—21no—
253#14556118D411yescharacteristic
254#14556118D411yescharacteristic
255#14556117—21no—
256#14556116C2311yescharacteristic
257#14556116C2311yescharacteristic
258#14556115—21no—
259#14556115C2311yescharacteristic
260#14556115C2311yescharacteristic
261#14556114—21no—
262#14556114—21no—
263#14556113—21no—
264#14556113—21no—
265#14556111—21no—
266#14556111—21no—
267#14556110—21no—
268#14556110—21no—
269#14556109—21no—
270#14556109—21no—
271#14556108—21no—
272#14556108—21no—
273#14556108—21no—
274#14556108D411yescharacteristic
275#14556107—21no—
276#14556107—21no—
277#14556107—21no—
278#14556106—21no—
279#14556106—21no—
280#14556106—21no—
281#14556106—21no—
282#14556106—21no—
283#14556106—21no—
284#14556106—21no—
285#14556106—21no—
286#14556106—21no—
287#14556106—21no—
288#14556106—21no—
289#14556106—21no—
290#14556106D411yescharacteristic
291#14556106D411yescharacteristic
292#14556105—21no—
293#14556105—21no—
294#14556105—21no—
295#14556105—21no—
296#14556105—21no—
297#14556105—21no—
298#14556104—21no—
299#14556104—21no—
300#14556104—21no—
301#14556104D411yescharacteristic
302#14556102—21no—
303#14556101—21no—
304#14556101—21no—
305#14556100—21no—
306#14556100—21no—
307#14556100—21no—
308#14556100—21no—
309#14556100—21no—
310#14556100—21no—
311#14556100—21no—
312#14556100—21no—
313#14556099—21no—
314#14556099—21no—
315#14556096—21no—
316#14556096—21no—
317#14556096—21no—
318#14556096—21no—
319C4×Dic142C2311yescharacteristic
320C4×Dic142C2311yescharacteristic
321C4×Dic142C2311yescharacteristic
322C4×Dic142C2311yescharacteristic
323#14556093—21no—
324#14556093—21no—
325#14556093C2311yescharacteristic
326C4×D284C2311yescharacteristic
327C4×D284C2311yescharacteristic
328C4×D284C2311yescharacteristic
329C4×D284C2311yescharacteristic
330C4×D284C2311yescharacteristic
331D4×Dic71—21no—
332D4×Dic71C2311yescharacteristic
333D4×Dic71C2311yescharacteristic
334D4×Dic71C2311yescharacteristic
335D4×Dic71C2311yescharacteristic
336D4×Dic71C2311yescharacteristic
337D4×Dic71C2311yescharacteristic
338#14556090—21no—
339#14556090C2311yescharacteristic
340#14556090C2311yescharacteristic
341#14556090C2311yescharacteristic
342#14556090C2311yescharacteristic
343#14556090C2311yescharacteristic
344C4×C22⋊D71—21no—
345C4×C22⋊D71—21no—
346C4×C22⋊D71—21no—
347C4×C22⋊D71—21no—
348C4×C22⋊D71—21no—
349C4×C22⋊D71—21no—
350C4×C22⋊D71—21no—
351C4×C22⋊D71—21no—
352(C22⋊D71)⋊C4—21no—
353(C22⋊D71)⋊C4—21no—
354(C22⋊D71)⋊C4—21no—
355(C22⋊D71)⋊C4—21no—
356(C22⋊D71)⋊C4—21no—
357(C22⋊D71)⋊C4—21no—
358#14556086C2311yescharacteristic
359#14556086C2311yescharacteristic
360#14556086C2311yescharacteristic
361#14556085C2311yescharacteristic
362#14556085C2311yescharacteristic
363#14556084—21no—
364C2×Dic71⋊C4—21no—
365C2×Dic71⋊C4—21no—
366C4⋊C4×D71—21no—
367C4⋊C4×D71—21no—
368C4⋊C4×D71—21no—
369C4⋊C4×D71C2311yescharacteristic
370C2×(C2×D71)⋊C4—21no—
371C2×(C2×D71)⋊C4—21no—
372C2×(C2×D71)⋊C4—21no—
373C2×(C2×D71)⋊C4—21no—
374C22⋊C4×D71—21no—
375C22⋊C4×D71—21no—
376C22⋊C4×D71—21no—
377C22⋊C4×D71—21no—
378C22⋊C4×D71—21no—
379C2×C4×Dic71—21no—
380C42×D71C2311yescharacteristic
381#14556062C2311yescharacteristic
382#14556062C2311yescharacteristic
383#14556061C2311yescharacteristic
384#14556061C2311yescharacteristic
385#14556061C2311yescharacteristic
386#14556060C2311yescharacteristic
387#14556059C2311yescharacteristic
388#14556059C2311yescharacteristic
389#14556059C2311yescharacteristic
390C4⋊(C71⋊C8)C2311yescharacteristic
391C4⋊(C71⋊C8)C2311yescharacteristic
392C4⋊(C71⋊C8)C2311yescharacteristic
393Dic71⋊C8C2311yescharacteristic
394Dic71⋊C8C2311yescharacteristic
395Dic71⋊C8C2311yescharacteristic
396Dic71⋊C8C2311yescharacteristic
397Dic71⋊C8C2311yescharacteristic
398Dic71⋊C8C2311yescharacteristic
399#14556053C2311yescharacteristic
400#14556053C2311yescharacteristic
401#14556053C2311yescharacteristic
402#14556051C2311yescharacteristic
403#14556051C2311yescharacteristic
404#14556051C2311yescharacteristic
405#14556050C2311yescharacteristic
406#14556050C2311yescharacteristic
407#14556050C2311yescharacteristic
408#14556050C2311yescharacteristic
409#14556050C2311yescharacteristic
410#14556050C2311yescharacteristic
411#14556050C2311yescharacteristic
412#14556049C2311yescharacteristic
413#14556049C2311yescharacteristic
414#14556049C2311yescharacteristic
415#14556049C2311yescharacteristic
416#14556049C2311yescharacteristic
417#14556049C2311yescharacteristic
418#14556049C2311yescharacteristic
419#14556049C2311yescharacteristic
420#14556049C2311yescharacteristic
421#14556049C2311yescharacteristic
422#14556048C2311yescharacteristic
423#14556048C2311yescharacteristic
424#14556048C2311yescharacteristic
425#14556048C2311yescharacteristic
426#14556048C2311yescharacteristic
427#14556048C2311yescharacteristic
428#14556048C2311yescharacteristic
429#14556039C2311yescharacteristic
430#14556039C2311yescharacteristic
431#14556038C2311yescharacteristic
432#14556038C2311yescharacteristic
433C4×C71⋊C8C2311yescharacteristic
434C8×Dic71C2311yescharacteristic
435C8×Dic71C2311yescharacteristic
436C8×Dic71C2311yescharacteristic
437C8×Dic71C2311yescharacteristic
438C2×#41×C71—21no—
439C2×D8×C71C2311yescharacteristic
440C2×D8×C71C2311yescharacteristic
441C2×D8×C71C2311yescharacteristic
442C4⋊Q8×C71C2311yescharacteristic
443#127×C71C2311yescharacteristic
444#127×C71C2311yescharacteristic
445#127×C71C2311yescharacteristic
446#125×C71C2311yescharacteristic
447#125×C71C2311yescharacteristic
448C22⋊Q8×C71—21no—
449C22⋊Q8×C71—21no—
450C22⋊Q8×C71—21no—
451#121×C71—21no—
452#121×C71—21no—
453#121×C71—21no—
454C4×Q8×C71C2311yescharacteristic
455C4×D4×C71C2311yescharacteristic
456C4×D4×C71C2311yescharacteristic
457C4×D4×C71C2311yescharacteristic
458C4×D4×C71C2311yescharacteristic
459C4×D4×C71C2311yescharacteristic
460C4×D4×C71C2311yescharacteristic
461C2×C4⋊C4×C71—21no—
462#107×C71C2311yescharacteristic
463#106×C71C2311yescharacteristic
464#106×C71C2311yescharacteristic
465C4⋊C8×C71C2311yescharacteristic
466C4⋊C8×C71C2311yescharacteristic
467C4⋊C8×C71C2311yescharacteristic
468#102×C71C2311yescharacteristic
469#102×C71C2311yescharacteristic
470#102×C71C2311yescharacteristic
471#102×C71C2311yescharacteristic
472#102×C71C2311yescharacteristic
473#102×C71C2311yescharacteristic
474#102×C71C2311yescharacteristic
475#102×C71C2311yescharacteristic
476#102×C71C2311yescharacteristic
477#102×C71C2311yescharacteristic
478#97×C71C2311yescharacteristic
479#97×C71C2311yescharacteristic
480C4×C8×C71C2311yescharacteristic
481C23×D71—21no—
482C23×D71—21no—
483C23×D71—21no—
484#11765865—82no—
485#11765864—22no—
486#11765864—22no—
487#11765864—82no—
488#11765864—82no—
489C2×Dic142—21no—
490C2×Dic142—21no—
491C2×Dic142—21no—
492C2×Dic142—21no—
493C2×Dic142—21no—
494C2×Dic142—82no—
495C2×Dic142C2×D411yescharacteristic
496C2×Dic142C2×D411yescharacteristic
497C2×Dic142C2×D411yescharacteristic
498C2×Dic142C2411yescharacteristic
499Q8×D71—82no—
500C2×D284—21no—
501C2×D284—21no—
502C2×D284C2411yescharacteristic
503C2×D284C2411yescharacteristic
504C2×D284C2411yescharacteristic
505C2×C22⋊D71—21no—
506C2×C22⋊D71—21no—
507C2×C22⋊D71—21no—
508C2×C22⋊D71—21no—
509C2×C22⋊D71—21no—
510C2×C22⋊D71—21no—
511C2×C22⋊D71—21no—
512C2×C22⋊D71—21no—
513C2×C22⋊D71—21no—
514C2×C22⋊D71—21no—
515C2×C22⋊D71—21no—
516C2×C22⋊D71—21no—
517D4×D71—22no—
518D4×D71—22no—
519D4×D71—22no—
520D4×D71—22no—
521D4×D71—22no—
522D4×D71—82no—
523D4×D71—82no—
524D4×D71#4114yescomplemented
525C22×Dic71—21no—
526C22×Dic71—21no—
527C22×Dic71—21no—
528C22×Dic71—21no—
529C22×Dic71—21no—
530C22×Dic71—21no—
531C22×Dic71—21no—
532C2×C4×D71—21no—
533C2×C4×D71—21no—
534C2×C4×D71—21no—
535C2×C4×D71—21no—
536C2×C4×D71—21no—
537C2×C4×D71—21no—
538C2×C4×D71—21no—
539C2×C4×D71—21no—
540C2×C4×D71—21no—
541C2×C4×D71—21no—
542C2×C4×D71—21no—
543C2×C4×D71—82no—
544C2×C4×D71C2×D411yescharacteristic
545C2×C4×D71C2×D411yescharacteristic
546C2×C4×D71C2411yescharacteristic
547#11765854—22no—
548#11765853—22no—
549D568—22no—
550D568—22no—
551#11765850—22no—
552#11765850—22no—
553#11765850—22no—
554#11765850—22no—
555#11765850—22no—
556#11765848—22no—
557#11765848—22no—
558C2×C71⋊C8C2411yescharacteristic
559C2×C71⋊C8C2411yescharacteristic
560C2×C71⋊C8C2411yescharacteristic
561C2×C71⋊C8C2411yescharacteristic
562C8×D71—22no—
563C8×D71—22no—
564C4⋊Dic71—21no—
565C4⋊Dic71—21no—
566C4⋊Dic71—21no—
567C4⋊Dic71C2×D411yescharacteristic
568C4⋊Dic71C2×D411yescharacteristic
569C4⋊Dic71C2×D411yescharacteristic
570C4⋊Dic71C2411yescharacteristic
571C4⋊Dic71C2411yescharacteristic
572C4⋊Dic71C2411yescharacteristic
573C4⋊Dic71C2411yescharacteristic
574Dic71⋊C4—21no—
575Dic71⋊C4—21no—
576Dic71⋊C4—21no—
577Dic71⋊C4—21no—
578Dic71⋊C4—21no—
579Dic71⋊C4—21no—
580Dic71⋊C4—21no—
581Dic71⋊C4—21no—
582Dic71⋊C4—21no—
583Dic71⋊C4—21no—
584Dic71⋊C4—21no—
585Dic71⋊C4—21no—
586Dic71⋊C4—21no—
587Dic71⋊C4C2×D411yescharacteristic
588Dic71⋊C4C2×D411yescharacteristic
589Dic71⋊C4C2×D411yescharacteristic
590Dic71⋊C4C2×D411yescharacteristic
591Dic71⋊C4C2×D411yescharacteristic
592Dic71⋊C4C2×D411yescharacteristic
593Dic71⋊C4C2×D411yescharacteristic
594Dic71⋊C4C2×D411yescharacteristic
595Dic71⋊C4C2×D411yescharacteristic
596Dic71⋊C4C2×D411yescharacteristic
597C22⋊Dic71—21no—
598C22⋊Dic71—21no—
599C22⋊Dic71—21no—
600C22⋊Dic71—21no—
601C22⋊Dic71—21no—
602C22⋊Dic71—21no—
603C22⋊Dic71—21no—
604C22⋊Dic71—21no—
605C22⋊Dic71—21no—
606C22⋊Dic71—21no—
607(C2×D71)⋊C4—21no—
608(C2×D71)⋊C4—21no—
609(C2×D71)⋊C4—21no—
610(C2×D71)⋊C4—21no—
611(C2×D71)⋊C4—21no—
612(C2×D71)⋊C4—21no—
613(C2×D71)⋊C4—21no—
614(C2×D71)⋊C4—21no—
615(C2×D71)⋊C4—21no—
616(C2×D71)⋊C4—21no—
617(C2×D71)⋊C4—21no—
618(C2×D71)⋊C4—21no—
619(C2×D71)⋊C4—21no—
620(C2×D71)⋊C4—21no—
621(C2×D71)⋊C4—21no—
622(C2×D71)⋊C4—21no—
623(C2×D71)⋊C4—21no—
624(C2×D71)⋊C4C2×D411yescharacteristic
625(C2×D71)⋊C4C2×D411yescharacteristic
626(C2×D71)⋊C4C2×D411yescharacteristic
627(C2×D71)⋊C4C2×D411yescharacteristic
628C4×Dic71—21no—
629C4×Dic71—21no—
630C4×Dic71—21no—
631C4×Dic71—21no—
632C4×Dic71—21no—
633C4×Dic71C2×D411yescharacteristic
634C4×Dic71C2×D411yescharacteristic
635C4×Dic71C2411yescharacteristic
636C4×Dic71C2411yescharacteristic
637C4×Dic71C2411yescharacteristic
638#41×C71—82no—
639C2×Q8×C71—21no—
640C2×Q8×C71C2×D411yescharacteristic
641C2×D4×C71—21no—
642C2×D4×C71—21no—
643C2×D4×C71—21no—
644C2×D4×C71—21no—
645C2×D4×C71—21no—
646C2×D4×C71—21no—
647C2×D4×C71C2411yescharacteristic
648C2×D4×C71C2411yescharacteristic
649C2×D4×C71C2411yescharacteristic
650C2×D4×C71C2411yescharacteristic
651C22×C4×C71—21no—
652C22×C4×C71—21no—
653C22×C4×C71—21no—
654C22×C4×C71—21no—
655C22×C4×C71—21no—
656C22×C4×C71—21no—
657D8×C71—22no—
658D8×C71—22no—
659D8×C71—22no—
660C2×C8×C71C2411yescharacteristic
661C2×C8×C71C2411yescharacteristic
662C2×C8×C71C2411yescharacteristic
663C2×C8×C71C2411yescharacteristic
664C4⋊C4×C71—21no—
665C4⋊C4×C71—21no—
666C4⋊C4×C71—21no—
667C4⋊C4×C71—21no—
668C4⋊C4×C71—21no—
669C4⋊C4×C71C2×D411yescharacteristic
670C4⋊C4×C71C2×D411yescharacteristic
671C4⋊C4×C71C2×D411yescharacteristic
672C4⋊C4×C71C2411yescharacteristic
673C4⋊C4×C71C2411yescharacteristic
674C4⋊C4×C71C2411yescharacteristic
675C4⋊C4×C71C2411yescharacteristic
676C22⋊C4×C71—21no—
677C22⋊C4×C71—21no—
678C22⋊C4×C71—21no—
679C22⋊C4×C71—21no—
680C22⋊C4×C71—21no—
681C22⋊C4×C71—21no—
682C42×C71C2411yescharacteristic
683C42×C71C2411yescharacteristic
684C42×C71C2411yescharacteristic
685C23×C71—21no—
686C23×C71—21no—
687C23×C71—21no—
688C23×C71—21no—
689C22×D71—21no—
690C22×D71—24no—
691C22×D71—21no—
692C22×D71—21no—
693C22×D71—42no—
694C22×D71—42no—
695C22×D71—81no—
696C22×D71—81no—
697C22×D71—81no—
698C22×D71—81no—
699C22×D71—81no—
700C22×D71—81no—
701C22×D71C22×D411yescharacteristic
702Q8×C71—41no—
703Q8×C71—81no—
704D4×C71—21no—
705D4×C71—21no—
706D4×C71—21no—
707D4×C71—21no—
708D4×C71—21no—
709D4×C71—21no—
710D4×C71—21no—
711D4×C71—42no—
712D4×C71—81no—
713D4×C71—81no—
714D4×C71—81no—
715D4×C71—81no—
716D4×C71—81no—
717D4×C71C2×#4112yes—
718C2×C4×C71—21no—
719C2×C4×C71—21no—
720C2×C4×C71—21no—
721C2×C4×C71—21no—
722C2×C4×C71—42no—
723C2×C4×C71—81no—
724C2×C4×C71—81no—
725C2×C4×C71—81no—
726C2×C4×C71—81no—
727C2×C4×C71—81no—
728C2×C4×C71C22×D411yescharacteristic
729C2×C4×C71C22×D411yescharacteristic
730C2×C4×C71C22×D411yescharacteristic
731C2×C4×C71C22×D411yescharacteristic
732C2×C4×C71C22×D411yescharacteristic
733C2×C4×C71C22×D411yescharacteristic
734C2×C4×C71C2511yescharacteristic
735C22⋊D71—24no—
736C22⋊D71—42no—
737C22⋊D71—42no—
738C22⋊D71—42no—
739C22⋊D71—42no—
740C22⋊D71—42no—
741C22⋊D71—81no—
742C22⋊D71—81no—
743C22⋊D71—81no—
744C22⋊D71—81no—
745C22⋊D71—81no—
746C22⋊D71—81no—
747C2×Dic71—21no—
748C2×Dic71—21no—
749C2×Dic71—21no—
750C2×Dic71—21no—
751C2×Dic71—21no—
752C2×Dic71—42no—
753C2×Dic71—42no—
754C2×Dic71—42no—
755C2×Dic71—81no—
756C2×Dic71—81no—
757C2×Dic71—81no—
758C2×Dic71—81no—
759C2×Dic71C22×D411yescharacteristic
760C2×Dic71C22×D411yescharacteristic
761C2×Dic71C22×D411yescharacteristic
762C2×Dic71C22×D411yescharacteristic
763C2×Dic71C22×D411yescharacteristic
764C2×Dic71C22×D411yescharacteristic
765C2×Dic71C22×D411yescharacteristic
766D284—21no—
767D284—21no—
768D284—21no—
769D284—21no—
770D284—21no—
771D284—42no—
772D284—81no—
773D284C2×#4112yes—
774C4×D71—22no—
775C4×D71—41no—
776C4×D71—42no—
777C4×D71—81no—
778C4×D71—81no—
779C4×D71—81no—
780C4×D71—81no—
781C4×D71—81no—
782C4×D71—81no—
783C4×D71—81no—
784C4×D71—81no—
785C4×D71—81no—
786C4×D71—81no—
787C4×D71C2×#4112yes—
788C4×D712−1+412yes—
789Dic142—22no—
790Dic142—22no—
791Dic142—21no—
792Dic142—21no—
793Dic142—41no—
794Dic142—42no—
795Dic142—81no—
796Dic142—81no—
797Dic142—81no—
798Dic142—81no—
799C8×C71—21no—
800C8×C71—21no—
801C8×C71—21no—
802C8×C71—21no—
803C71⋊C8—21no—
804C71⋊C8—21no—
805C71⋊C8—21no—
806C71⋊C8—21no—
807C22×C71—22no—
808C22×C71—41no—
809C22×C71—41no—
810C22×C71—41no—
811C22×C71—41no—
812C22×C71—41no—
813C22×C71—41no—
814C22×C71—41no—
815C22×C71—41no—
816C22×C71—41no—
817C22×C71—41no—
818C22×C71—41no—
819C22×C71C23×D411yescharacteristic
820C2×D71—21no—
821C2×D71—21no—
822C2×D71—22no—
823C2×D71—41no—
824C2×D71—41no—
825C2×D71—41no—
826C2×D71—41no—
827C2×D71—41no—
828C2×D71—41no—
829C2×D71—41no—
830C2×D71—41no—
831C2×D71—84no—
832C2×D71—162no—
833C2×D71—162no—
834C2×D71#54812yes—
835C4×C71—21no—
836C4×C71—21no—
837C4×C71—21no—
838C4×C71—21no—
839C4×C71—21no—
840C4×C71—21no—
841C4×C71—41no—
842C4×C71—41no—
843C4×C71—41no—
844C4×C71—41no—
845C4×C71C22×#4111yescharacteristic
846C4×C71C2×2−1+411yescharacteristic
847Dic71—21no—
848Dic71—21no—
849Dic71—21no—
850Dic71—21no—
851Dic71—21no—
852Dic71—41no—
853Dic71—41no—
854Dic71—41no—
855Dic71—41no—
856Dic71—41no—
857Dic71#54812yes—
858Dic71#57612yes—
859#61339—711nomaximal, Sylow
860C2×C71—42no—
861C2×C71—81no—
862C2×C71—81no—
863C2×C71—81no—
864C2×C71C2×#54811yescharacteristic
865C2×C71C2×#57611yescharacteristic
866C2×C71#358511yescharacteristic
867D71—22no—
868D71—42no—
869D71—81no—
870D71—81no—
871#3508—711no—
872#3501—711no—
873#3373—711no—
874#3373—711no—
875#3370—711no—
876#3370—711no—
877#3370—711no—
878#3370—711no—
879#3366—711no—
880#3366—711no—
881#3366—711no—
882#3366—711no—
883#3366—711no—
884#3366D7111yescharacteristic, complemented
885#3361—711no—
886#3361—711no—
887#3358—711no—
888#3358—711no—
889#3138—711no—
890#3136—711no—
891#3136—711no—
892#3081—711no—
893#3081—711no—
894#3076—711no—
895#3041—711no—
896#3041—711no—
897C2×#459—711no—
898#2962—711no—
899#2948—711no—
900#2948—711no—
901C4×AGL(1,ℤ/8)—711no—
902C71#6133911yescharacteristic, complemented, Sylow
903C2×AGL(1,ℤ/8)—711no—
904C22×D8—711no—
905C22×D8—711no—
906#559—711no—
907#559—711no—
908#559—711no—
909#559—711no—
910#554—711no—
911#554—711no—
912#554—711no—
913#554—711no—
914#554—711no—
915#554—1421no—
916#554—1421no—
917#554—1421no—
918#554C2×D7111yescharacteristic, complemented
919#550—711no—
920#550—711no—
921#550—711no—
922#550C2×D7111yescharacteristic, complemented
923D4×Q8—711no—
924D4×Q8—711no—
925D4×Q8—1421no—
926#546—1421no—
927#546—1421no—
928#546—1421no—
929#546—1421no—
930#544—711no—
931#544—711no—
932#543—1421no—
933#543—1421no—
934#540—1421no—
935#540—1421no—
936#535—711no—
937#535—711no—
938#533—711no—
939#533—711no—
940#532—1421no—
941#532—1421no—
942C2×#127—711no—
943C2×C22⋊Q8—1421no—
944C2×C22⋊Q8—1421no—
945#518—711no—
946#518—711no—
947#518—711no—
948#518—711no—
949C4×#41—711no—
950C2×C4×D4—711no—
951#490—711no—
952#490—711no—
953#490—711no—
954#490—711no—
955#490—711no—
956#490—711no—
957#490C2×D7111yescharacteristic, complemented
958#490C2×D7111yescharacteristic, complemented
959#489—711no—
960#489—711no—
961#489—711no—
962#489—711no—
963#488—711no—
964#488—711no—
965#488—711no—
966#488—711no—
967#486—711no—
968#486—711no—
969#486—711no—
970#486—711no—
971#486—711no—
972#486—711no—
973#486—711no—
974#486C2×D7111yescharacteristic, complemented
975#479—711no—
976#479—711no—
977#478—711no—
978#478—711no—
979#478—711no—
980#478—711no—
981#478—711no—
982#478—711no—
983#478—711no—
984#478—711no—
985#478C2×D7111yescharacteristic, complemented
986#478C2×D7111yescharacteristic, complemented
987#477—711no—
988#476—711no—
989#476—711no—
990#476—711no—
991#476—711no—
992#476C2×D7111yescharacteristic, complemented
993#475—711no—
994#474—711no—
995#474—711no—
996#474—711no—
997#474—711no—
998#474—711no—
999#463—711no—
1000#463—711no—
1001#463—711no—
1002#463—711no—
1003#463—711no—
1004#463—711no—
1005#463—711no—
1006#463—711no—
1007#459—711no—
1008#459—711no—
1009#459—711no—
1010#459—711no—
1011#459—711no—
1012#459—711no—
1013#459—711no—
1014#459—711no—
1015#459—711no—
1016#459—711no—
1017#459—711no—
1018#459—711no—
1019#459—711no—
1020#459C2×D7111yescharacteristic
1021#459C2×D7111yescharacteristic, complemented
1022#459C2×D7111yescharacteristic, complemented
1023#446—711no—
1024#446—711no—
1025#446—711no—
1026#446—711no—
1027#446—711no—
1028#446C2×D7111yescharacteristic, complemented
1029C8×Q8—711no—
1030C8×Q8—711no—
1031#442—711no—
1032#442—711no—
1033#442—711no—
1034#442—711no—
1035#442—711no—
1036#442—711no—
1037#442—711no—
1038#442—711no—
1039#442C2×D7111yescharacteristic, complemented
1040#442C2×D7111yescharacteristic, complemented
1041#440—711no—
1042#440—711no—
1043C4×SD16—711no—
1044C4×SD16—711no—
1045C4×D8—711no—
1046C4×D8—711no—
1047C4×D8—711no—
1048C4×D8—711no—
1049C4×D8—711no—
1050C4×D8—711no—
1051C4×D8—711no—
1052C4×D8—711no—
1053C4×D8—711no—
1054C4×D8C2×D7111yescharacteristic, complemented
1055#428—711no—
1056#427—711no—
1057#427—711no—
1058#424—711no—
1059#424—711no—
1060C2×C4⋊C8—711no—
1061#418—711no—
1062#418—711no—
1063#418—711no—
1064#418—711no—
1065#418—711no—
1066#417—711no—
1067#416—711no—
1068#416—711no—
1069C2×#102—711no—
1070C2×#102—711no—
1071#405—711no—
1072#405—711no—
1073C4×M16—711no—
1074C2×#41—21no—
1075C2×#41—711no—
1076C2×#41—1421no—
1077C2×#41—1421no—
1078C2×#41—1421no—
1079C22×Q8—1421no—
1080C22×Q8—1421no—
1081C22×D4—711no—
1082C22×D4—711no—
1083C22×D4—711no—
1084C22×D4—1421no—
1085C22×D4—1421no—
1086C23×C4—1421no—
1087AGL(1,ℤ/8)—1424no—
1088C2×SD16—711no—
1089C2×SD16—711no—
1090C2×D8—711no—
1091C2×D8—711no—
1092C2×D8—711no—
1093C2×D8—711no—
1094C2×D8—711no—
1095C2×D8—711no—
1096C2×D8—711no—
1097C2×D8—1424no—
1098C2×D8—1424no—
1099C2×D8C22×D7111yescharacteristic
1100C2×D8C22×D7111yescharacteristic
1101C2×D8C22×D7111yescharacteristic
1102C2×M16—711no—
1103C2×M16—711no—
1104C22×C8—711no—
1105C22×C8—711no—
1106C4⋊Q8—711no—
1107C4⋊Q8—711no—
1108C4⋊Q8—711no—
1109C4⋊Q8—711no—
1110C4⋊Q8—711no—
1111C4⋊Q8—711no—
1112C4⋊Q8—711no—
1113C4⋊Q8—1421no—
1114C4⋊Q8—1421no—
1115C4⋊Q8C22×D7111yescharacteristic
1116#127—711no—
1117#127—711no—
1118#127—711no—
1119#127—711no—
1120#127—711no—
1121#127—1421no—
1122#127—1421no—
1123#127C22×D7111yescharacteristic
1124#127C22×D7111yescharacteristic
1125#127C22×D7111yescharacteristic
1126#125—711no—
1127#125—711no—
1128#125—711no—
1129#125—711no—
1130#125—711no—
1131#125—711no—
1132#125—1421no—
1133#125—1421no—
1134#125C22×D7111yescharacteristic
1135#125C22×D7111yescharacteristic
1136#124—711no—
1137#124—711no—
1138#124—711no—
1139#124—711no—
1140#124—1421no—
1141#124—1421no—
1142#124—1421no—
1143#124—1421no—
1144#123—1421no—
1145#123—1421no—
1146#123—1421no—
1147#123—1421no—
1148#123—1421no—
1149#123—1421no—
1150#123—1421no—
1151#123—1421no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—711no—
1156C22⋊Q8—711no—
1157C22⋊Q8—711no—
1158C22⋊Q8—711no—
1159C22⋊Q8—1421no—
1160C22⋊Q8—1421no—
1161C22⋊Q8—1421no—
1162C22⋊Q8—1421no—
1163C22⋊Q8—1421no—
1164C22⋊Q8—1421no—
1165C22⋊Q8—1421no—
1166C22⋊Q8—1421no—
1167C22⋊Q8—1421no—
1168C22⋊Q8—1421no—
1169C22⋊Q8—1421no—
1170C22⋊Q8—1421no—
1171C22⋊Q8—1421no—
1172C22⋊Q8—1421no—
1173C22⋊Q8—1421no—
1174C22⋊Q8—1421no—
1175C22⋊Q8—1421no—
1176C22⋊Q8—1421no—
1177C22⋊Q8—1421no—
1178C22⋊Q8—1421no—
1179C22⋊Q8—1421no—
1180C22⋊Q8—1421no—
1181C22⋊Q8—1421no—
1182C22⋊Q8—1421no—
1183C22⋊Q8—1421no—
1184C22⋊Q8—1421no—
1185C22⋊Q8—1421no—
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121—1421no—
1190#121—1421no—
1191#121—1421no—
1192#121—1421no—
1193#121—1421no—
1194#121—1421no—
1195#121—1421no—
1196#121—1421no—
1197#121—1421no—
1198#121—1421no—
1199#121—1421no—
1200#121—1421no—
1201#121—1421no—
1202#120—1421no—
1203#120—1421no—
1204#120—1421no—
1205#120—1421no—
1206C4×Q8—711no—
1207C4×Q8—711no—
1208C4×Q8—711no—
1209C4×Q8—711no—
1210C4×Q8—711no—
1211C4×Q8—1421no—
1212C4×Q8—1421no—
1213C4×Q8C22×D7111yescharacteristic
1214C4×D4—711no—
1215C4×D4—711no—
1216C4×D4—711no—
1217C4×D4—711no—
1218C4×D4—711no—
1219C4×D4—711no—
1220C4×D4—711no—
1221C4×D4—711no—
1222C4×D4—711no—
1223C4×D4—711no—
1224C4×D4—711no—
1225C4×D4—711no—
1226C4×D4—711no—
1227C4×D4—711no—
1228C4×D4—711no—
1229C4×D4—711no—
1230C4×D4—1421no—
1231C4×D4—1421no—
1232C4×D4—1421no—
1233C4×D4—1421no—
1234C4×D4—1421no—
1235C4×D4—1421no—
1236C4×D4—1421no—
1237C4×D4—1421no—
1238C4×D4—1421no—
1239C4×D4—1421no—
1240C4×D4—1421no—
1241C4×D4—1421no—
1242C4×D4—1421no—
1243C4×D4—1421no—
1244C4×D4—1421no—
1245C4×D4—1421no—
1246C4×D4C22×D7111yescharacteristic
1247C4×D4C22×D7111yescharacteristic
1248C4×D4C22×D7111yescharacteristic
1249C4×D4C22×D7111yescharacteristic
1250C4×D4C22×D7111yescharacteristic
1251C4×D4C22×D7111yescharacteristic
1252#117—711no—
1253#117—711no—
1254#117—711no—
1255#117—711no—
1256#117—711no—
1257#117—1421no—
1258C2×C4⋊C4—21no—
1259C2×C4⋊C4—711no—
1260C2×C4⋊C4—1421no—
1261C2×C4⋊C4—1421no—
1262C2×C4⋊C4—1421no—
1263C2×C4⋊C4—1421no—
1264C2×C4⋊C4—1421no—
1265C2×C22⋊C4—1421no—
1266C2×C22⋊C4—1421no—
1267C2×C22⋊C4—1421no—
1268C2×C22⋊C4—1421no—
1269C2×C22⋊C4—1421no—
1270C2×C22⋊C4—1421no—
1271C2×C22⋊C4—1421no—
1272C2×C22⋊C4—1421no—
1273C2×C22⋊C4—1421no—
1274C2×C42—711no—
1275C2×C42—1421no—
1276#107—711no—
1277#107—711no—
1278#107—711no—
1279#107—711no—
1280#107—711no—
1281#107C22×D7111yescharacteristic
1282#106—711no—
1283#106—711no—
1284#106—711no—
1285#106—711no—
1286#106C22×D7111yescharacteristic
1287#106C22×D7111yescharacteristic
1288C4⋊C8—711no—
1289C4⋊C8—711no—
1290C4⋊C8—711no—
1291C4⋊C8—711no—
1292C4⋊C8—711no—
1293C4⋊C8—711no—
1294C4⋊C8—711no—
1295C4⋊C8—711no—
1296C4⋊C8—711no—
1297C4⋊C8C22×D7111yescharacteristic
1298C4⋊C8C22×D7111yescharacteristic
1299C4⋊C8C22×D7111yescharacteristic
1300#103—711no—
1301#103—711no—
1302#103—711no—
1303#103—711no—
1304#103—711no—
1305#103—711no—
1306#102—711no—
1307#102—711no—
1308#102—711no—
1309#102—711no—
1310#102—711no—
1311#102—711no—
1312#102—711no—
1313#102—711no—
1314#102—711no—
1315#102—711no—
1316#102—711no—
1317#102—711no—
1318#102—711no—
1319#102—711no—
1320#102—711no—
1321#102—711no—
1322#102—711no—
1323#102—711no—
1324#102—711no—
1325#102—711no—
1326#102—711no—
1327#102—711no—
1328#102—711no—
1329#102—711no—
1330#102C22×D7111yescharacteristic
1331#102C22×D7111yescharacteristic
1332#102C22×D7111yescharacteristic
1333#102C22×D7111yescharacteristic
1334#102C22×D7111yescharacteristic
1335#102C22×D7111yescharacteristic
1336#102C22×D7111yescharacteristic
1337#102C22×D7111yescharacteristic
1338#102C22×D7111yescharacteristic
1339#102C22×D7111yescharacteristic
1340#97—711no—
1341#97—711no—
1342#97—711no—
1343#97—711no—
1344#97C22×D7111yescharacteristic
1345#97C22×D7111yescharacteristic
1346C4×C8—711no—
1347C4×C8—711no—
1348C4×C8—711no—
1349C4×C8—711no—
1350C4×C8—711no—
1351C4×C8C22×D7111yescharacteristic
1352C24—1421no—
1353C24—1421no—
1354C24—1421no—
1355#41—82no—
1356#41—5682no—
1357#41—5682no—
1358#41—5682no—
1359#41—1422no—
1360#41—1422no—
1361C2×Q8—21no—
1362C2×Q8—5682no—
1363C2×Q8—5682no—
1364C2×Q8—711no—
1365C2×Q8—711no—
1366C2×Q8—711no—
1367C2×Q8—711no—
1368C2×Q8—1421no—
1369C2×Q8—1421no—
1370C2×Q8—1421no—
1371C2×Q8—1421no—
1372C2×Q8—1421no—
1373C2×Q8D4×D7111yescharacteristic
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—5682no—
1381C2×D4—5682no—
1382C2×D4—714no—
1383C2×D4—711no—
1384C2×D4—711no—
1385C2×D4—711no—
1386C2×D4—1422no—
1387C2×D4—1422no—
1388C2×D4—1422no—
1389C2×D4—1422no—
1390C2×D4—1422no—
1391C2×D4—1421no—
1392C2×D4—1421no—
1393C2×D4—1421no—
1394C2×D4—1421no—
1395C2×D4—1421no—
1396C2×D4—1421no—
1397C2×D4—1421no—
1398C2×D4—1421no—
1399C2×D4—1421no—
1400C2×D4—1421no—
1401C2×D4—1421no—
1402C2×D4—1421no—
1403C2×D4—1421no—
1404C2×D4—1421no—
1405C2×D4C23×D7111yescharacteristic
1406C2×D4C23×D7111yescharacteristic
1407C2×D4C23×D7111yescharacteristic
1408C2×D4C23×D7111yescharacteristic
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—5682no—
1416C22×C4—711no—
1417C22×C4—711no—
1418C22×C4—711no—
1419C22×C4—1421no—
1420C22×C4—1421no—
1421C22×C4—1421no—
1422C22×C4—1421no—
1423C22×C4—1421no—
1424C22×C4—1421no—
1425C22×C4—1421no—
1426C22×C4—1421no—
1427C22×C4—1421no—
1428C22×C4—1421no—
1429C22×C4—1421no—
1430C22×C4—1421no—
1431C22×C4—1421no—
1432C22×C4—1421no—
1433C22×C4—1421no—
1434C22×C4—1421no—
1435C22×C4—1421no—
1436C22×C4—1421no—
1437SD16—1422no—
1438SD16—1422no—
1439D8—22no—
1440D8—22no—
1441D8—22no—
1442D8—1422no—
1443D8—1422no—
1444D8—1422no—
1445D8—1422no—
1446D8—1422no—
1447D8—1422no—
1448D8—1422no—
1449M16—1422no—
1450M16—1422no—
1451C2×C8—711no—
1452C2×C8—711no—
1453C2×C8—711no—
1454C2×C8—711no—
1455C2×C8—1422no—
1456C2×C8—1422no—
1457C2×C8C23×D7111yescharacteristic
1458C2×C8C23×D7111yescharacteristic
1459C2×C8C23×D7111yescharacteristic
1460C2×C8C23×D7111yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—711no—
1467C4⋊C4—711no—
1468C4⋊C4—711no—
1469C4⋊C4—711no—
1470C4⋊C4—711no—
1471C4⋊C4—711no—
1472C4⋊C4—711no—
1473C4⋊C4—711no—
1474C4⋊C4—711no—
1475C4⋊C4—711no—
1476C4⋊C4—711no—
1477C4⋊C4—711no—
1478C4⋊C4—711no—
1479C4⋊C4—711no—
1480C4⋊C4—711no—
1481C4⋊C4—711no—
1482C4⋊C4—711no—
1483C4⋊C4—1421no—
1484C4⋊C4—1421no—
1485C4⋊C4—1421no—
1486C4⋊C4—1421no—
1487C4⋊C4—1421no—
1488C4⋊C4—1421no—
1489C4⋊C4—1421no—
1490C4⋊C4—1421no—
1491C4⋊C4—1421no—
1492C4⋊C4—1421no—
1493C4⋊C4—1421no—
1494C4⋊C4—1421no—
1495C4⋊C4—1421no—
1496C4⋊C4—1421no—
1497C4⋊C4—1421no—
1498C4⋊C4—1421no—
1499C4⋊C4D4×D7111yescharacteristic
1500C4⋊C4D4×D7111yescharacteristic
1501C4⋊C4D4×D7111yescharacteristic
1502C4⋊C4C23×D7111yescharacteristic
1503C4⋊C4C23×D7111yescharacteristic
1504C4⋊C4C23×D7111yescharacteristic
1505C4⋊C4C23×D7111yescharacteristic
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—711no—
1513C22⋊C4—711no—
1514C22⋊C4—711no—
1515C22⋊C4—711no—
1516C22⋊C4—1421no—
1517C22⋊C4—1421no—
1518C22⋊C4—1421no—
1519C22⋊C4—1421no—
1520C22⋊C4—1421no—
1521C22⋊C4—1421no—
1522C22⋊C4—1421no—
1523C22⋊C4—1421no—
1524C22⋊C4—1421no—
1525C22⋊C4—1421no—
1526C22⋊C4—1421no—
1527C22⋊C4—1421no—
1528C22⋊C4—1421no—
1529C22⋊C4—1421no—
1530C22⋊C4—1421no—
1531C22⋊C4—1421no—
1532C22⋊C4—1421no—
1533C22⋊C4—1421no—
1534C22⋊C4—1421no—
1535C22⋊C4—1421no—
1536C22⋊C4—1421no—
1537C22⋊C4—1421no—
1538C22⋊C4—1421no—
1539C22⋊C4—1421no—
1540C22⋊C4—1421no—
1541C22⋊C4—1421no—
1542C22⋊C4—1421no—
1543C42—711no—
1544C42—711no—
1545C42—711no—
1546C42—711no—
1547C42—711no—
1548C42—1421no—
1549C42—1421no—
1550C42—1421no—
1551C42—1421no—
1552C42—1421no—
1553C42C23×D7111yescharacteristic
1554C42C23×D7111yescharacteristic
1555C42C23×D7111yescharacteristic
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—2842no—
1561C23—2842no—
1562C23—5681no—
1563C23—5681no—
1564C23—5681no—
1565C23—5681no—
1566C23—5681no—
1567C23—5681no—
1568C23—711no—
1569C23—1424no—
1570C23—1421no—
1571C23—1421no—
1572C23—1421no—
1573Q8—41no—
1574Q8—81no—
1575Q8—2841no—
1576Q8—2842no—
1577Q8—5681no—
1578Q8—5681no—
1579Q8—5681no—
1580Q8—5681no—
1581Q8—1422no—
1582Q8—1422no—
1583Q8—1421no—
1584Q8—1421no—
1585D4—21no—
1586D4—21no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—42no—
1593D4—81no—
1594D4—81no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598D4—2842no—
1599D4—2842no—
1600D4—2842no—
1601D4—2842no—
1602D4—2842no—
1603D4—2842no—
1604D4—5681no—
1605D4—5681no—
1606D4—5681no—
1607D4—5681no—
1608D4—5681no—
1609D4—5681no—
1610D4—5681no—
1611D4—712no—
1612D4—1424no—
1613D4—1421no—
1614D4—1421no—
1615D4—1421no—
1616D4—1421no—
1617D4—1421no—
1618D4#41×D7112yes—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—42no—
1624C2×C4—81no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—2841no—
1630C2×C4—2842no—
1631C2×C4—2842no—
1632C2×C4—2842no—
1633C2×C4—2842no—
1634C2×C4—5681no—
1635C2×C4—5681no—
1636C2×C4—5681no—
1637C2×C4—5681no—
1638C2×C4—5681no—
1639C2×C4—5681no—
1640C2×C4—5681no—
1641C2×C4—5681no—
1642C2×C4—5681no—
1643C2×C4—5681no—
1644C2×C4—5681no—
1645C2×C4—5681no—
1646C2×C4—5681no—
1647C2×C4—5681no—
1648C2×C4—711no—
1649C2×C4—711no—
1650C2×C4—712no—
1651C2×C4—712no—
1652C2×C4—711no—
1653C2×C4—711no—
1654C2×C4—711no—
1655C2×C4—711no—
1656C2×C4—711no—
1657C2×C4—1422no—
1658C2×C4—1421no—
1659C2×C4—1421no—
1660C2×C4—1421no—
1661C2×C4—1421no—
1662C2×C4—1421no—
1663C2×C4C2×D4×D7111yescharacteristic
1664C2×C4C2×D4×D7111yescharacteristic
1665C2×C4C2×D4×D7111yescharacteristic
1666C2×C4C2×D4×D7111yescharacteristic
1667C2×C4C2×D4×D7111yescharacteristic
1668C2×C4C2×D4×D7111yescharacteristic
1669C2×C4C24×D7111yescharacteristic
1670C8—21no—
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—1421no—
1675C8—1421no—
1676C8—1421no—
1677C8—1421no—
1678C22—22no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—2841no—
1691C22—2841no—
1692C22—2841no—
1693C22—2841no—
1694C22—2841no—
1695C22—2841no—
1696C22—2841no—
1697C22—2841no—
1698C22—5684no—
1699C22—712no—
1700C22—11362no—
1701C22—11362no—
1702C22—1422no—
1703C22—1421no—
1704C22—1421no—
1705C22C22×D4×D7111yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—2841no—
1717C4—2841no—
1718C4—2841no—
1719C4—2841no—
1720C4—2841no—
1721C4—712no—
1722C4—712no—
1723C4—1421no—
1724C4—1421no—
1725C4—1421no—
1726C4—1421no—
1727C4—1421no—
1728C4C2×#41×D7111yescharacteristic
1729C42−1+4×D7111yescharacteristic
1730C2—42no—
1731C2—81no—
1732C2—81no—
1733C2—81no—
1734C2—2842no—
1735C2—5681no—
1736C2—5681no—
1737C2—1422no—
1738C2#548×D7111yescharacteristic
1739C2#576×D7111yescharacteristic
1740C2#2260311611yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3366C2
socleC22×C71C23×D4
hypercenter#3366D71
hypocenterC71#61339
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3366

Complements

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

NH ≅ G/Ntype
1. #22602210C2semidirect
2. #22602139C2semidirect
3. #22601135C2semidirect
4. #22601133C2semidirect
5. #22601095C2semidirect
6. #22601093C2semidirect
7. #22601088C2semidirect
8. #22601086C2semidirect
9. #22601050C2semidirect
10. #22601048C2semidirect
11. #22601044C2semidirect
12. #22601043C2semidirect
13. #22601042C2semidirect
14. #22601003C2semidirect
15. #22601001C2semidirect
16. #22600972C2semidirect
17. #22600970C2semidirect
18. #22598713C2semidirect
19. #22598695C2semidirect
20. #22598689C2semidirect
21. #22598168C2semidirect
22. #22598166C2semidirect
23. #22598125C2semidirect
24. #22597838C2semidirect
25. #22597838C2semidirect
26. #459×D71C2semidirect
27. #22597285C2semidirect
28. #22597189C2semidirect
29. #22597187C2semidirect
30. #22597151C2semidirect
31. C71×#3366C2semidirect
35. #17986735C22semidirect
36. #17986734C22semidirect
37. #17986732C22semidirect
38. #17986732C22semidirect
39. #17986709C22semidirect
40. #17986708C22semidirect
41. #17986708C22semidirect
42. #17986705C22semidirect
43. #17986705C22semidirect
47. #17986670C22semidirect
48. #17986669C22semidirect
49. #17986669C22semidirect
50. D4×Dic142C22semidirect
51. #17986664C22semidirect
78. #17986365C22semidirect
79. #17986364C22semidirect
80. #17986363C22semidirect
81. #17986363C22semidirect
82. #17986362C22semidirect
83. #17986362C22semidirect
84. #17986361C22semidirect
85. #17986359C22semidirect
86. #17986357C22semidirect
87. #17986357C22semidirect
88. #17986356C22semidirect
89. #17986354C22semidirect
90. #17986352C22semidirect
91. #17986352C22semidirect
92. #17986345C22semidirect
93. #17986344C22semidirect
94. #17986344C22semidirect
95. #17986344C22semidirect
96. #17986344C22semidirect
97. #17986344C22semidirect
98. #17986344C22semidirect
99. #17986307C22semidirect
100. #17986303C22semidirect
101. #17986302C22semidirect
102. #17986301C22semidirect
103. #17986300C22semidirect
104. #17986299C22semidirect
105. #17986299C22semidirect
106. #17986298C22semidirect
107. #17986297C22semidirect
108. #17986296C22semidirect
109. #17986293C22semidirect
110. #17986289C22semidirect
111. #17986288C22semidirect
112. #17986288C22semidirect
113. #17986287C22semidirect
114. #17986283C22semidirect
115. #17986280C22semidirect
116. #17986277C22semidirect
117. #17986277C22semidirect
118. #17986277C22semidirect
119. #17986276C22semidirect
120. #17986215C22semidirect
121. #17986215C22semidirect
122. #17986214C22semidirect
123. #17986214C22semidirect
124. #17986213C22semidirect
125. #17986213C22semidirect
126. #17986212C22semidirect
127. #17986212C22semidirect
132. #17986193C22semidirect
133. #17986193C22semidirect
136. #17986192C22semidirect
137. #17986192C22semidirect
139. #17986191C22semidirect
140. #17986191C22semidirect
141. #17986130C22semidirect
142. #17986128C22semidirect
143. #17986128C22semidirect
144. #17986127C22semidirect
145. #17986127C22semidirect
146. C8×Dic142C22semidirect
147. #17986123C22semidirect
148. #17986112C22semidirect
149. #17986111C22semidirect
150. #17986110C22semidirect
151. #17986109C22semidirect
152. #17986109C22semidirect
153. #17986109C22semidirect
154. #17986108C22semidirect
155. #17986108C22semidirect
156. #17986101C22semidirect
157. #17986099C22semidirect
158. #17986090C22semidirect
159. #17986086C22semidirect
160. C4×D568C22semidirect
161. D8×Dic71C22semidirect
162. D8×Dic71C22semidirect
163. #17986081C22semidirect
164. C4×#11765850C22semidirect
165. C4×#11765850C22semidirect
166. #17986079C22semidirect
167. #17986079C22semidirect
168. #17986079C22semidirect
188. #554×C71C22semidirect
189. #550×C71C22semidirect
190. #490×C71C22semidirect
191. #490×C71C22semidirect
192. #486×C71C22semidirect
193. #478×C71C22semidirect
194. #478×C71C22semidirect
195. #476×C71C22semidirect
197. #459×C71C22semidirect
198. #459×C71C22semidirect
199. #446×C71C22semidirect
200. #442×C71C22semidirect
201. #442×C71C22semidirect
202. C4×D8×C71C22semidirect
524. D4×D71#41semidirect
884. #3366D71semidirect
902. C71#61339semidirect
918. #554C2×D71semidirect
922. #550C2×D71semidirect
957. #490C2×D71semidirect
958. #490C2×D71semidirect
974. #486C2×D71semidirect
985. #478C2×D71semidirect
986. #478C2×D71semidirect
992. #476C2×D71semidirect
1021. #459C2×D71semidirect
1022. #459C2×D71semidirect
1028. #446C2×D71semidirect
1039. #442C2×D71semidirect
1040. #442C2×D71semidirect
1054. C4×D8C2×D71semidirect

Maximal subgroups

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

subgroupindex
#226022102
#226021392
#226011352
#226011332
#226010952
#226010932
#226010882
#226010862
#226010502
#226010482
#226010442
#226010432
#226010422
#226010032
#226010012
#226009722
#226009702
#225987132
#225986952
#225986892
#225981682
#225981662
#225981252
#225978382
#459×D712
#225972852
#225971892
#225971872
#225971512
C71×#33662
#6133971