Finite Group Databasebeta

← #27101747

Subgroups — #27101747

Order 12032.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257224C211yesmaximal, characteristic, complemented
2#20256877C211yesmaximal, characteristic, complemented
3#20255661C211yesmaximal, characteristic, complemented
4#20255611C211yesmaximal, characteristic, complemented
5#20255563C211yesmaximal, characteristic, complemented
6#20255535C211yesmaximal, characteristic, complemented
7#20255518C211yesmaximal, characteristic, complemented
8#20255490C211yesmaximal, characteristic, complemented
9#20255290C211yesmaximal, characteristic, complemented
10#20255240C211yesmaximal, characteristic, complemented
11#20255096C211yesmaximal, characteristic, complemented
12#20255014C211yesmaximal, characteristic, complemented
13#20254997C211yesmaximal, characteristic, complemented
14#20254958C211yesmaximal, characteristic, complemented
15#20254928C211yesmaximal, characteristic, complemented
16#20254917C211yesmaximal, characteristic, complemented
17#20254876C211yesmaximal, characteristic, complemented
18#20254430C211yesmaximal, characteristic, complemented
19#20254359C211yesmaximal, characteristic, complemented
20#20254229C211yesmaximal, characteristic, complemented
21#20254215C211yesmaximal, characteristic, complemented
22#20254182C211yesmaximal, characteristic, complemented
23#20254148C211yesmaximal, characteristic, complemented
24#20253496C211yesmaximal, characteristic, complemented
25#20253412C211yesmaximal, characteristic, complemented
26#20252639C211yesmaximal, characteristic, complemented
27#20252631C211yesmaximal, characteristic, complemented
28#20252602C211yesmaximal, characteristic, complemented
29C2×#15689284C211yesmaximal, characteristic, complemented
30#20252421C211yesmaximal, characteristic, complemented
31C47×#3285C211yesmaximal, characteristic, complemented
32C22×#10625354C2211yescharacteristic
33C2×#41×D47C2211yescharacteristic, complemented
34C2×#13094056C2211yescharacteristic, complemented
35C2×#13094051C2211yescharacteristic, complemented
36C2×#13094051C2211yescharacteristic, complemented
37C2×#13094051C2211yescharacteristic, complemented
38C2×#13094044C2211yescharacteristic, complemented
39C22×#10625336C2211yescharacteristic, complemented
40#15689825C2211yescharacteristic
41#15689822—21no—
42#15689819C2211yescharacteristic, complemented
43#15689816—21no—
44#15689814C2211yescharacteristic, complemented
45#15689807C2211yescharacteristic, complemented
46#15689803—21no—
47#15689800—21no—
48#15689792C2211yescharacteristic
49Q8×C22⋊D47C2211yescharacteristic, complemented
50#15689785C2211yescharacteristic
51#15689784C2211yescharacteristic
52#15689775—21no—
53#15689775C2211yescharacteristic
54#15689769—21no—
55#15689769C2211yescharacteristic, complemented
56#15689766—21no—
57#15689766C2211yescharacteristic
58#15689766C2211yescharacteristic, complemented
59#15689761C2211yescharacteristic, complemented
60#15689757—21no—
61#15689757C2211yescharacteristic, complemented
62#15689719—21no—
63#15689707—21no—
64#15689681—21no—
65#15689672—21no—
66#15689672C2211yescharacteristic, complemented
67#15689660C2211yescharacteristic, complemented
68#15689652C2211yescharacteristic, complemented
69#15689636—21no—
70#15689636C2211yescharacteristic, complemented
71#15689636C2211yescharacteristic, complemented
72#15689633—21no—
73#15689633C2211yescharacteristic
74#15689630C2211yescharacteristic, complemented
75C2×#13094000C2211yescharacteristic, complemented
76#121×D47C2211yescharacteristic, complemented
77#15689595—21no—
78C4×#10625354C2211yescharacteristic, complemented
79C4×D4×D47—21no—
80C4×D4×D47C2211yescharacteristic
81#15689516C2211yescharacteristic, complemented
82#15689509C2211yescharacteristic, complemented
83#15689505C2211yescharacteristic, complemented
84#15689490C2211yescharacteristic, complemented
85#15689486C2211yescharacteristic, complemented
86#15689478C2211yescharacteristic, complemented
87#15689477C2211yescharacteristic, complemented
88#15689463C2211yescharacteristic, complemented
89#15689463C2211yescharacteristic, complemented
90#15689463C2211yescharacteristic, complemented
91#15689461C2211yescharacteristic, complemented
92#15689460C2211yescharacteristic, complemented
93#15689459C2211yescharacteristic, complemented
94#15689450C2211yescharacteristic, complemented
95#15689450C2211yescharacteristic, complemented
96#15689448C2211yescharacteristic, complemented
97#15689446C2211yescharacteristic, complemented
98#15689440C2211yescharacteristic, complemented
99#15689439C2211yescharacteristic, complemented
100#15689432C2211yescharacteristic, complemented
101#15689430C2211yescharacteristic, complemented
102#15689426C2211yescharacteristic, complemented
103#15689424C2211yescharacteristic, complemented
104#15689380C2211yescharacteristic, complemented
105#15689380C2211yescharacteristic, complemented
106#15689378C2211yescharacteristic, complemented
107#15689375C2211yescharacteristic, complemented
108#15689372C2211yescharacteristic, complemented
109#15689366C2211yescharacteristic, complemented
110#15689366C2211yescharacteristic, complemented
111#15689366C2211yescharacteristic, complemented
112#15689359C2211yescharacteristic, complemented
113#15689357C2211yescharacteristic, complemented
114#15689354C2211yescharacteristic, complemented
115#15689354C2211yescharacteristic, complemented
116#15689352C2211yescharacteristic, complemented
117#15689350C2211yescharacteristic, complemented
118#15689347C2211yescharacteristic, complemented
119#15689345C2211yescharacteristic, complemented
120#15689341C2211yescharacteristic, complemented
121#15689339C2211yescharacteristic, complemented
122#15689335C2211yescharacteristic, complemented
123#15689335C2211yescharacteristic, complemented
124#15689331C2211yescharacteristic, complemented
125#15689326C2211yescharacteristic, complemented
126#15689321C2211yescharacteristic, complemented
127#15689316C2211yescharacteristic, complemented
128#15689284C2211yescharacteristic, complemented
129#15689284C2211yescharacteristic, complemented
130#15689284C2211yescharacteristic, complemented
131#15689284C2211yescharacteristic, complemented
132#15689284C2211yescharacteristic, complemented
133#15689284C2211yescharacteristic, complemented
134#15689284C2211yescharacteristic, complemented
135#15689284C2211yescharacteristic, complemented
136#15689284C2211yescharacteristic, complemented
137#15689283C2211yescharacteristic, complemented
138#15689282C2211yescharacteristic, complemented
139#15689282C2211yescharacteristic, complemented
140#15689279C2211yescharacteristic, complemented
141#15689277C2211yescharacteristic, complemented
142#15689275C2211yescharacteristic, complemented
143#15689272C2211yescharacteristic, complemented
144#15689271C2211yescharacteristic
145#15689271C2211yescharacteristic, complemented
146#15689271C2211yescharacteristic, complemented
147#15689270C2211yescharacteristic, complemented
148#15689269C2211yescharacteristic, complemented
149#15689268C2211yescharacteristic, complemented
150#15689268C2211yescharacteristic, complemented
151#15689267C2211yescharacteristic
152#15689267C2211yescharacteristic, complemented
153#15689265C2211yescharacteristic, complemented
154#15689262C2211yescharacteristic, complemented
155#15689260C2211yescharacteristic, complemented
156#15689259C2211yescharacteristic, complemented
157#15689256C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689232C2211yescharacteristic, complemented
161#15689230C2211yescharacteristic, complemented
162#15689226C2211yescharacteristic, complemented
163#15689224C2211yescharacteristic, complemented
164C4×#10625336C2211yescharacteristic, complemented
165C4×#10625336C2211yescharacteristic, complemented
166C4×D376C2211yescharacteristic, complemented
167#15689202C2211yescharacteristic, complemented
168#15689200C2211yescharacteristic, complemented
169#15689194C2211yescharacteristic, complemented
170#15689194C2211yescharacteristic, complemented
171#15689191C2211yescharacteristic, complemented
172#15689191C2211yescharacteristic, complemented
173D4×C47⋊C8C2211yescharacteristic, complemented
174#15689179C2211yescharacteristic, complemented
175#15689174C2211yescharacteristic, complemented
176#15689130C2211yescharacteristic, complemented
177#15689126C2211yescharacteristic, complemented
178#15689123C2211yescharacteristic, complemented
179#15689123C2211yescharacteristic, complemented
180#15689120C2211yescharacteristic, complemented
181#15689119C2211yescharacteristic, complemented
182C2×#13093948C2211yescharacteristic, complemented
183C2×#13093946C2211yescharacteristic, complemented
184#15689085C2211yescharacteristic, complemented
185#15689085C2211yescharacteristic, complemented
186C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
187C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
188C2×#135×C47C2211yescharacteristic, complemented
189C22×Q16×C47C2211yescharacteristic, complemented
190C47×#548C2211yescharacteristic, complemented
191C47×#548C2211yescharacteristic, complemented
192C47×#495C2211yescharacteristic, complemented
193C47×#467C2211yescharacteristic, complemented
194C47×#466C2211yescharacteristic, complemented
195C47×#464C2211yescharacteristic, complemented
196C47×#464C2211yescharacteristic, complemented
197C47×#452C2211yescharacteristic, complemented
198C47×#452C2211yescharacteristic, complemented
199C47×#448C2211yescharacteristic, complemented
200C47×#448C2211yescharacteristic, complemented
201C4×Q16×C47C2211yescharacteristic, complemented
202C8×D4×C47C2211yescharacteristic, complemented
203C2×#10625354—21no—
204C2×#10625354—21no—
205C2×#10625354—42no—
206C2×#10625354—42no—
207C2×#10625354C2311yescharacteristic
208C2×#10625354C2311yescharacteristic
209C2×#10625354C2311yescharacteristic
210C2×#10625354C2311yescharacteristic
211C2×#10625354C2311yescharacteristic
212C2×#10625350—21no—
213C2×#10625350C2311yescharacteristic
214C2×#10625352—21no—
215C2×#10625352C2311yescharacteristic
216#41×D47—42no—
217#41×D47—42no—
218C2×Q8×D47C2311yescharacteristic
219C22×D188—21no—
220C22×D188C2311yescharacteristic
221C2×D4×D47—21no—
222C2×D4×D47—21no—
223C2×D4×D47—21no—
224C2×D4×D47D411yescharacteristic
225C2×D4×D47C2311yescharacteristic
226C2×D4×D47C2311yescharacteristic
227C22×C4×D47—21no—
228C22×C4×D47—21no—
229C22×C4×D47C2311yescharacteristic
230C22×C4×D47C2311yescharacteristic
231#13094056—42no—
232#13094051—42no—
233#13094051—42no—
234#13094051—42no—
235#13094044—42no—
236C2×#10625337C2311yescharacteristic
237C2×#10625337C2311yescharacteristic
238C2×#10625325C2311yescharacteristic
239C2×#10625335C2311yescharacteristic
240C2×#10625336—42no—
241C2×#10625336C2311yescharacteristic
242C2×#10625336C2311yescharacteristic
243C2×#10625336C2311yescharacteristic
244C2×#10625336C2311yescharacteristic
245C2×#10625336C2311yescharacteristic
246C2×#10625336C2311yescharacteristic
247C2×D376C2311yescharacteristic
248C2×D376C2311yescharacteristic
249C2×#10625334C2311yescharacteristic
250C2×#10625334C2311yescharacteristic
251C2×#10625334C2311yescharacteristic
252C2×#10625324C2311yescharacteristic
253C2×#10625324C2311yescharacteristic
254C2×#10625324C2311yescharacteristic
255C2×#10625324C2311yescharacteristic
256C22×C47⋊C8C2311yescharacteristic
257C22×C47⋊C8C2311yescharacteristic
258#13094022—21no—
259#13094022C2311yescharacteristic
260#13094020—21no—
261#13094020C2311yescharacteristic
262#13094019—21no—
263#13094019—21no—
264#13094018—21no—
265#13094017—21no—
266#13094017—21no—
267#13094017—21no—
268#13094016C2311yescharacteristic
269#13094015C2311yescharacteristic
270#13094014—21no—
271#13094014—21no—
272#13094013—21no—
273#13094013C2311yescharacteristic
274#13094012—21no—
275#13094012C2311yescharacteristic
276#13094009—21no—
277#13094009—21no—
278#13094009—21no—
279#13094009—21no—
280#13094009—21no—
281#13094009—21no—
282#13094008—21no—
283#13094007—21no—
284#13094006—21no—
285#13094006—21no—
286#13094006—21no—
287#13094006—21no—
288#13094006—21no—
289#13094006—21no—
290#13094006—21no—
291#13094005—21no—
292#13094004—21no—
293#13094004C2311yescharacteristic
294#13094003—21no—
295#13094003C2311yescharacteristic
296#13094000—21no—
297#13094000—21no—
298#13094000—21no—
299#13094000—21no—
300#13094000C2311yescharacteristic
301#13094000C2311yescharacteristic
302#13094000C2311yescharacteristic
303#13094000C2311yescharacteristic
304#13094000C2311yescharacteristic
305#13094000C2311yescharacteristic
306#13093999—21no—
307#13093999C2311yescharacteristic
308#13093999C2311yescharacteristic
309#13093998—21no—
310#13093998—21no—
311#13093998C2311yescharacteristic
312#13093998C2311yescharacteristic
313#13093998C2311yescharacteristic
314#13093997—21no—
315#13093997—21no—
316#13093997—21no—
317#13093997—21no—
318#13093997—21no—
319#13093997—21no—
320#13093997—21no—
321#13093997—21no—
322#13093996—21no—
323#13093996—21no—
324#13093996—21no—
325#13093996—21no—
326#13093995—21no—
327#13093995C2311yescharacteristic
328#13093995C2311yescharacteristic
329#13093995C2311yescharacteristic
330#13093994—21no—
331#13093994—21no—
332#13093994—21no—
333#13093994—21no—
334#13093994—21no—
335#13093992—21no—
336#13093992—21no—
337#13093992—21no—
338#13093992—21no—
339#13093992—21no—
340Q8×Dic47C2311yescharacteristic
341Q8×Dic47C2311yescharacteristic
342C4×D188—21no—
343C4×D188—21no—
344C4×D188—21no—
345C4×D188C2311yescharacteristic
346C4×D188C2311yescharacteristic
347C4×D188C2311yescharacteristic
348D4×Dic47—21no—
349D4×Dic47—21no—
350D4×Dic47D411yescharacteristic
351D4×Dic47C2311yescharacteristic
352#13093986—21no—
353#13093986—21no—
354#13093986—21no—
355#13093986D411yescharacteristic
356#13093986C2311yescharacteristic
357C4×C22⋊D47—21no—
358C4×C22⋊D47—21no—
359C4×C22⋊D47—21no—
360C4×C22⋊D47—21no—
361C4×C22⋊D47—21no—
362C4×C22⋊D47C2311yescharacteristic
363C4×C22⋊D47C2311yescharacteristic
364(C22⋊D47)⋊C4—21no—
365(C22⋊D47)⋊C4—21no—
366(C22⋊D47)⋊C4—21no—
367(C22⋊D47)⋊C4—21no—
368(C22⋊D47)⋊C4—21no—
369(C22⋊D47)⋊C4—21no—
370(C22⋊D47)⋊C4—21no—
371(C22⋊D47)⋊C4D411yescharacteristic
372(C22⋊D47)⋊C4D411yescharacteristic
373#13093983C2311yescharacteristic
374#13093982—21no—
375#13093982—21no—
376#13093982C2311yescharacteristic
377#13093982C2311yescharacteristic
378#13093981—21no—
379#13093981—21no—
380#13093980—21no—
381C2×C4⋊Dic47C2311yescharacteristic
382C2×Dic47⋊C4—21no—
383C4⋊C4×D47—21no—
384C4⋊C4×D47D411yescharacteristic
385C4⋊C4×D47C2311yescharacteristic
386C2×(C2×D47)⋊C4—21no—
387C2×(C2×D47)⋊C4—21no—
388C22⋊C4×D47—21no—
389C22⋊C4×D47—21no—
390C22⋊C4×D47—21no—
391C22⋊C4×D47—21no—
392C22⋊C4×D47D411yescharacteristic
393C22⋊C4×D47D411yescharacteristic
394C42×D47—21no—
395C42×D47C2311yescharacteristic
396#13093958C2311yescharacteristic
397#13093958C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093956C2311yescharacteristic
400#13093955C2311yescharacteristic
401#13093955C2311yescharacteristic
402#13093955C2311yescharacteristic
403C4⋊(C47⋊C8)C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093948C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432C22⋊(C47⋊C8)C2311yescharacteristic
433C22⋊(C47⋊C8)C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442#13093934C2311yescharacteristic
443#13093934C2311yescharacteristic
444C4×C47⋊C8C2311yescharacteristic
445C2×#41×C47C2311yescharacteristic
446C2×#41×C47C2311yescharacteristic
447C22×Q8×C47C2311yescharacteristic
448C22×Q8×C47C2311yescharacteristic
449#135×C47—42no—
450C2×Q16×C47—42no—
451C2×Q16×C47C2311yescharacteristic
452C2×Q16×C47C2311yescharacteristic
453C2×Q16×C47C2311yescharacteristic
454C2×Q16×C47C2311yescharacteristic
455C2×SD16×C47C2311yescharacteristic
456C2×SD16×C47C2311yescharacteristic
457C2×SD16×C47C2311yescharacteristic
458C2×SD16×C47C2311yescharacteristic
459C2×D8×C47C2311yescharacteristic
460C22×C8×C47C2311yescharacteristic
461C22×C8×C47C2311yescharacteristic
462#124×C47—21no—
463#124×C47—21no—
464#124×C47C2311yescharacteristic
465#124×C47C2311yescharacteristic
466C22⋊Q8×C47—21no—
467C22⋊Q8×C47—21no—
468C22⋊Q8×C47C2311yescharacteristic
469C22⋊Q8×C47C2311yescharacteristic
470#121×C47—21no—
471#121×C47—21no—
472#121×C47C2311yescharacteristic
473#121×C47C2311yescharacteristic
474C4×Q8×C47C2311yescharacteristic
475C4×Q8×C47C2311yescharacteristic
476C4×D4×C47—21no—
477C4×D4×C47—21no—
478C4×D4×C47C2311yescharacteristic
479#107×C47C2311yescharacteristic
480C4⋊C8×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#103×C47C2311yescharacteristic
483#103×C47C2311yescharacteristic
484#103×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486#102×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C4×C8×C47C2311yescharacteristic
490C23×D47—21no—
491C23×D47—21no—
492C23×D47—21no—
493C23×D47C2×D411yescharacteristic
494C23×D47C2×D411yescharacteristic
495#41×C47—22no—
496#41×C47—41no—
497#41×C47—41no—
498#41×C47—41no—
499C2×Q8×C47—21no—
500C2×Q8×C47—21no—
501C2×Q8×C47—22no—
502C2×Q8×C47—41no—
503C2×Q8×C47—41no—
504C2×Q8×C47—41no—
505C2×Q8×C47C2411yescharacteristic
506C2×Q8×C47C2411yescharacteristic
507C2×Q8×C47C2411yescharacteristic
508C2×Q8×C47C2411yescharacteristic
509C2×D4×C47—21no—
510C2×D4×C47—21no—
511C2×D4×C47—21no—
512C2×D4×C47—21no—
513C2×D4×C47C2×D411yescharacteristic
514C2×D4×C47C2411yescharacteristic
515C2×D4×C47C2411yescharacteristic
516C22×C4×C47—21no—
517C22×C4×C47—21no—
518C22×C4×C47—21no—
519C22×C4×C47—21no—
520C22×C4×C47C2411yescharacteristic
521C22×C4×C47C2411yescharacteristic
522C2×C22⋊D47—21no—
523C2×C22⋊D47—21no—
524C2×C22⋊D47—21no—
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—21no—
530C2×C22⋊D47—21no—
531C2×C22⋊D47—21no—
532C2×C22⋊D47—21no—
533C2×C22⋊D47—21no—
534C2×C22⋊D47C2×D411yescharacteristic
535C2×C22⋊D47C2×D411yescharacteristic
536C22×Dic47—21no—
537C22×Dic47—21no—
538C22×Dic47—21no—
539C22×Dic47C2×D411yescharacteristic
540C22×Dic47C2×D411yescharacteristic
541#10625354—22no—
542#10625354—22no—
543#10625354—22no—
544#10625354—22no—
545#10625354—41no—
546#10625354—41no—
547#10625354—41no—
548#10625354—41no—
549#10625354—44no—
550#10625354—41no—
551#10625354—41no—
552#10625354—44no—
553Q8×D47—22no—
554Q8×D47—41no—
555#10625352—41no—
556#10625352—41no—
557#10625352—44no—
558D4×D47—22no—
559D4×D47—41no—
560D4×D47—41no—
561D4×D47—41no—
562D4×D47—44no—
563D4×D47—42no—
564D4×D47—44no—
565D4×D47—44no—
566#10625350—22no—
567#10625350—41no—
568#10625350—44no—
569C2×D188—21no—
570C2×D188—22no—
571C2×D188—21no—
572C2×D188—21no—
573C2×D188—21no—
574C2×D188—21no—
575C2×D188—21no—
576C2×D188—21no—
577C2×D188—21no—
578C2×D188—41no—
579C2×D188—44no—
580C2×D188C2×D411yescharacteristic
581C2×D188C2411yescharacteristic
582C2×D188C2411yescharacteristic
583C2×D188C2411yescharacteristic
584C2×C4×D47—21no—
585C2×C4×D47—21no—
586C2×C4×D47—21no—
587C2×C4×D47—21no—
588C2×C4×D47—21no—
589C2×C4×D47—21no—
590C2×C4×D47—21no—
591C2×C4×D47—21no—
592C2×C4×D47—21no—
593C2×C4×D47—21no—
594C2×C4×D47—21no—
595C2×C4×D47—41no—
596C2×C4×D47—41no—
597C2×C4×D47—41no—
598C2×C4×D47—41no—
599C2×C4×D47—44no—
600C2×C4×D47—44no—
601C2×C4×D47C2×D411yescharacteristic
602C2×C4×D47C2×D411yescharacteristic
603C2×C4×D47C2×D411yescharacteristic
604C2×C4×D47C2×D411yescharacteristic
605C2×C4×D47C2×D411yescharacteristic
606C2×C4×D47C2×D411yescharacteristic
607C2×C4×D47C2411yescharacteristic
608C2×C4×D47C2411yescharacteristic
609C2×C4×D47C2411yescharacteristic
610C2×Dic94—21no—
611C2×Dic94C2411yescharacteristic
612Q16×C47—22no—
613Q16×C47—22no—
614Q16×C47—41no—
615Q16×C47—41no—
616SD16×C47—22no—
617SD16×C47—41no—
618SD16×C47—41no—
619SD16×C47—41no—
620D8×C47—41no—
621C2×C8×C47—41no—
622C2×C8×C47—41no—
623C2×C8×C47C2411yescharacteristic
624C2×C8×C47C2411yescharacteristic
625C2×C8×C47C2411yescharacteristic
626C2×C8×C47C2411yescharacteristic
627C4⋊C4×C47—21no—
628C4⋊C4×C47—21no—
629C4⋊C4×C47—21no—
630C4⋊C4×C47—21no—
631C4⋊C4×C47C2×D411yescharacteristic
632C4⋊C4×C47C2411yescharacteristic
633C4⋊C4×C47C2411yescharacteristic
634C22⋊C4×C47—21no—
635C22⋊C4×C47—21no—
636C22⋊C4×C47—21no—
637C22⋊C4×C47—21no—
638C22⋊C4×C47—21no—
639C22⋊C4×C47—21no—
640C22⋊C4×C47—21no—
641C22⋊C4×C47—21no—
642C22⋊C4×C47C2×D411yescharacteristic
643C22⋊C4×C47C2×D411yescharacteristic
644C42×C47—21no—
645C42×C47—21no—
646C42×C47C2411yescharacteristic
647C22⋊Dic47—21no—
648C22⋊Dic47—21no—
649C22⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47—21no—
653C22⋊Dic47C2×D411yescharacteristic
654C22⋊Dic47C2×D411yescharacteristic
655#10625337—41no—
656#10625337—41no—
657#10625336—22no—
658#10625336—22no—
659#10625336—22no—
660#10625336—41no—
661#10625336—41no—
662#10625336—41no—
663#10625335—41no—
664#10625334—22no—
665#10625334—41no—
666#10625334—41no—
667(C2×D47)⋊C4—21no—
668(C2×D47)⋊C4—21no—
669(C2×D47)⋊C4—21no—
670(C2×D47)⋊C4—21no—
671(C2×D47)⋊C4—21no—
672(C2×D47)⋊C4—21no—
673(C2×D47)⋊C4—21no—
674(C2×D47)⋊C4—21no—
675(C2×D47)⋊C4—21no—
676(C2×D47)⋊C4—21no—
677(C2×D47)⋊C4—21no—
678(C2×D47)⋊C4—21no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊C4—21no—
682(C2×D47)⋊C4—21no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4—21no—
688(C2×D47)⋊C4C2×D411yescharacteristic
689(C2×D47)⋊C4C2×D411yescharacteristic
690(C2×D47)⋊C4C2×D411yescharacteristic
691(C2×D47)⋊C4C2×D411yescharacteristic
692C4⋊Dic47—21no—
693C4⋊Dic47—21no—
694C4⋊Dic47—21no—
695C4⋊Dic47—21no—
696C4⋊Dic47—21no—
697C4⋊Dic47C2×D411yescharacteristic
698C4⋊Dic47C2411yescharacteristic
699C4⋊Dic47C2411yescharacteristic
700C4⋊Dic47C2411yescharacteristic
701C4⋊Dic47C2411yescharacteristic
702Dic47⋊C4—21no—
703Dic47⋊C4—21no—
704Dic47⋊C4—21no—
705Dic47⋊C4—21no—
706Dic47⋊C4—21no—
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4—21no—
714Dic47⋊C4—21no—
715Dic47⋊C4C2×D411yescharacteristic
716Dic47⋊C4C2×D411yescharacteristic
717C4×Dic47—21no—
718C4×Dic47—21no—
719C4×Dic47—21no—
720C4×Dic47—21no—
721C4×Dic47—21no—
722C4×Dic47C2×D411yescharacteristic
723C4×Dic47C2×D411yescharacteristic
724C4×Dic47C2411yescharacteristic
725C2×C47⋊C8—41no—
726C2×C47⋊C8—41no—
727C2×C47⋊C8C2411yescharacteristic
728C2×C47⋊C8C2411yescharacteristic
729C2×C47⋊C8C2411yescharacteristic
730C2×C47⋊C8C2411yescharacteristic
731D376—22no—
732D376—41no—
733#10625325—41no—
734#10625324—41no—
735#10625324—41no—
736#10625324—41no—
737#10625324—41no—
738C23×C47—21no—
739C23×C47—21no—
740C23×C47C22×D411yescharacteristic
741C23×C47C22×D411yescharacteristic
742C22×D47—21no—
743C22×D47—22no—
744C22×D47—21no—
745C22×D47—21no—
746C22×D47—41no—
747C22×D47—41no—
748C22×D47—41no—
749C22×D47—41no—
750C22×D47—41no—
751C22×D47—42no—
752C22×D47—42no—
753C22×D47—42no—
754C22×D47—42no—
755C22×D47—42no—
756C22×D47—81no—
757C22×D47—81no—
758C22×D47—81no—
759C22×D47—81no—
760C22×D47C22×D411yescharacteristic
761C22×D47C22×D411yescharacteristic
762C22×D47C22×D411yescharacteristic
763Q8×C47—21no—
764Q8×C47—21no—
765Q8×C47—21no—
766Q8×C47—21no—
767Q8×C47—21no—
768Q8×C47—21no—
769Q8×C47—21no—
770Q8×C47—42no—
771Q8×C47—81no—
772Q8×C47H(5,𝔽2)12yes—
773D4×C47—22no—
774D4×C47—21no—
775D4×C47—21no—
776D4×C47—21no—
777D4×C47—21no—
778D4×C47—42no—
779D4×C47—42no—
780D4×C47—42no—
781D4×C47—81no—
782C2×C4×C47—21no—
783C2×C4×C47—21no—
784C2×C4×C47—21no—
785C2×C4×C47—21no—
786C2×C4×C47—21no—
787C2×C4×C47—21no—
788C2×C4×C47—21no—
789C2×C4×C47—21no—
790C2×C4×C47—21no—
791C2×C4×C47—21no—
792C2×C4×C47—42no—
793C2×C4×C47—42no—
794C2×C4×C47—81no—
795C2×C4×C47—81no—
796C2×C4×C47C22×D411yescharacteristic
797C2×C4×C47C22×D411yescharacteristic
798C2×C4×C47C22×D411yescharacteristic
799C2×C4×C47C22×D411yescharacteristic
800C2×C4×C47C2511yescharacteristic
801C22⋊D47—22no—
802C22⋊D47—41no—
803C22⋊D47—42no—
804C22⋊D47—42no—
805C22⋊D47—42no—
806C22⋊D47—42no—
807C22⋊D47—42no—
808C22⋊D47—42no—
809C22⋊D47—81no—
810C22⋊D47—81no—
811C22⋊D47—81no—
812C22⋊D47—81no—
813C22⋊D47—81no—
814C22⋊D47—81no—
815C2×Dic47—21no—
816C2×Dic47—21no—
817C2×Dic47—21no—
818C2×Dic47—21no—
819C2×Dic47—21no—
820C2×Dic47—41no—
821C2×Dic47—41no—
822C2×Dic47—42no—
823C2×Dic47—81no—
824C2×Dic47—81no—
825C2×Dic47C22×D411yescharacteristic
826C2×Dic47C22×D411yescharacteristic
827C2×Dic47C22×D411yescharacteristic
828C2×Dic47C22×D411yescharacteristic
829C2×Dic47C22×D411yescharacteristic
830D188—24no—
831D188—21no—
832D188—21no—
833D188—21no—
834D188—21no—
835D188—21no—
836D188—41no—
837D188—42no—
838D188—42no—
839D188—42no—
840D188—42no—
841D188—42no—
842D188—42no—
843D188—81no—
844D188H(5,𝔽2)12yes—
845C4×D47—24no—
846C4×D47—21no—
847C4×D47—21no—
848C4×D47—21no—
849C4×D47—21no—
850C4×D47—21no—
851C4×D47—21no—
852C4×D47—41no—
853C4×D47—41no—
854C4×D47—41no—
855C4×D47—41no—
856C4×D47—41no—
857C4×D47—41no—
858C4×D47—42no—
859C4×D47—42no—
860C4×D47—42no—
861C4×D47—42no—
862C4×D47—42no—
863C4×D47—42no—
864C4×D47—42no—
865C4×D47—81no—
866C4×D47—81no—
867C4×D47—81no—
868Dic94—21no—
869Dic94—21no—
870Dic94—42no—
871C8×C47—21no—
872C8×C47—21no—
873C8×C47—21no—
874C8×C47—21no—
875C47⋊C8—21no—
876C47⋊C8—21no—
877C47⋊C8—21no—
878C47⋊C8—21no—
879#61606—471nomaximal, Sylow
880C22×C47—21no—
881C22×C47—21no—
882C22×C47—21no—
883C22×C47—21no—
884C22×C47—21no—
885C22×C47—41no—
886C22×C47—41no—
887C22×C47—41no—
888C22×C47—41no—
889C22×C47—41no—
890C22×C47—41no—
891C22×C47#57512yes—
892C22×C47C23×D411yescharacteristic
893C2×D47—21no—
894C2×D47—21no—
895C2×D47—21no—
896C2×D47—21no—
897C2×D47—21no—
898C2×D47—22no—
899C2×D47—21no—
900C2×D47—21no—
901C2×D47—21no—
902C2×D47—21no—
903C2×D47—41no—
904C2×D47—41no—
905C2×D47—41no—
906C2×D47—41no—
907C2×D47—41no—
908C2×D47—41no—
909C2×D47—41no—
910C2×D47—41no—
911C2×D47—82no—
912C2×D47—82no—
913C2×D47—84no—
914C2×D47—84no—
915C2×D47—162no—
916C4×C47—21no—
917C4×C47—22no—
918C4×C47—21no—
919C4×C47—21no—
920C4×C47—21no—
921C4×C47—41no—
922C4×C47—41no—
923C4×C47—41no—
924C4×C47—41no—
925C4×C47—41no—
926C4×C47C2×H(5,𝔽2)11yescharacteristic
927C4×C47C2×H(5,𝔽2)11yescharacteristic
928Dic47—21no—
929Dic47—21no—
930Dic47—21no—
931Dic47—21no—
932Dic47—21no—
933Dic47—41no—
934Dic47—41no—
935Dic47—41no—
936Dic47—41no—
937Dic47—41no—
938#3505—471no—
939D4×#41—471no—
940#3327—471no—
941#3323—471no—
942#3320—471no—
943#3318—471no—
944#3317—471no—
945#3315—471no—
946#3301—471no—
947#3297—471no—
948#3285D4711yescharacteristic, complemented
949#3282—471no—
950#3275—471no—
951#3273—471no—
952#3270—471no—
953#3268—471no—
954#3267—471no—
955#3265—471no—
956#3219—471no—
957#3212—471no—
958#3197—471no—
959#3196—471no—
960#3191—471no—
961#3188—471no—
962#3111—471no—
963#3102—471no—
964#3006—471no—
965#3005—471no—
966#3002—471no—
967C2×#452—471no—
968#2974—471no—
969C2×C47—22no—
970C2×C47—41no—
971C2×C47—81no—
972C2×C47—81no—
973C2×C47#348411yescharacteristic
974C2×C47C2×#57511yescharacteristic
975C2×C47#358411yescharacteristic
976D47—41no—
977D47—41no—
978D47—41no—
979D47—42no—
980D47—81no—
981D47—81no—
982C22×#41—471no—
983C22×#41—471no—
984C2×#137—471no—
985C2×AGL(1,ℤ/8)—471no—
986C2×AGL(1,ℤ/8)—471no—
987C2×AGL(1,ℤ/8)—471no—
988C2×#135—471no—
989C2×#135C2×D4711yescharacteristic, complemented
990C22×Q16C2×D4711yescharacteristic, complemented
991C22×SD16—471no—
992#553—471no—
993#553—471no—
994#553—941no—
995#553—941no—
996#552—471no—
997#552—471no—
998#551—941no—
999#551—941no—
1000#550—471no—
1001D4×Q8—471no—
1002#548—471no—
1003#548—471no—
1004#548C2×D4711yescharacteristic, complemented
1005#548C2×D4711yescharacteristic, complemented
1006#547—471no—
1007#547—941no—
1008#546—471no—
1009#546—471no—
1010#546—471no—
1011#546—471no—
1012#546—941no—
1013#546—941no—
1014D42—471no—
1015D42—941no—
1016#539—941no—
1017#538—941no—
1018#534—941no—
1019#532—471no—
1020#532—941no—
1021#529—471no—
1022#529—471no—
1023#525—471no—
1024#525—471no—
1025#525—471no—
1026#525—471no—
1027#525—941no—
1028#525—941no—
1029C2×C22⋊Q8—471no—
1030C2×#121—471no—
1031#518—941no—
1032C4×#41—471no—
1033C2×C4×D4—471no—
1034C2×C4×D4—941no—
1035#497—471no—
1036#496—471no—
1037#495—471no—
1038#495C2×D4711yescharacteristic, complemented
1039#491—471no—
1040#490—471no—
1041#488—471no—
1042#488—471no—
1043#485—471no—
1044#485—471no—
1045#485—471no—
1046#485—471no—
1047#484—471no—
1048#484—471no—
1049#482—471no—
1050#482—471no—
1051#482—471no—
1052#482—471no—
1053#481—471no—
1054#481—471no—
1055#479—471no—
1056#479—471no—
1057#478—471no—
1058#478—471no—
1059#470—471no—
1060#470—471no—
1061#470—471no—
1062#469—471no—
1063#468—471no—
1064#468—471no—
1065#468—471no—
1066#468—471no—
1067#467C2×D4711yescharacteristic, complemented
1068#466—471no—
1069#466—471no—
1070#466C2×D4711yescharacteristic, complemented
1071#465—471no—
1072#465—471no—
1073#465—471no—
1074#465—471no—
1075#464—471no—
1076#464—471no—
1077#464C2×D4711yescharacteristic, complemented
1078#464C2×D4711yescharacteristic, complemented
1079#463—471no—
1080#463—471no—
1081#463—471no—
1082#463—471no—
1083#462—471no—
1084#461—471no—
1085#460—471no—
1086#459—471no—
1087#452—471no—
1088#452—471no—
1089#452—471no—
1090#452—471no—
1091#452—471no—
1092#452—471no—
1093#452—471no—
1094#452—471no—
1095#452—471no—
1096#452—471no—
1097#452—471no—
1098#452—471no—
1099#452C2×D4711yescharacteristic, complemented
1100#452C2×D4711yescharacteristic, complemented
1101#451—471no—
1102#451—471no—
1103#450—471no—
1104#450—471no—
1105#449—471no—
1106#449—471no—
1107#449—471no—
1108#449—471no—
1109#449—471no—
1110#449—471no—
1111#449—471no—
1112#449—471no—
1113#449—471no—
1114#449—471no—
1115#448—471no—
1116#448—471no—
1117#448C2×D4711yescharacteristic, complemented
1118#448C2×D4711yescharacteristic, complemented
1119#447—471no—
1120#447—471no—
1121#447—471no—
1122#447—471no—
1123#442—471no—
1124#441—471no—
1125#440—471no—
1126#440—471no—
1127C4×Q16C2×D4711yescharacteristic, complemented
1128C4×SD16—471no—
1129C4×SD16—471no—
1130C4×D8—471no—
1131#436—471no—
1132#436—471no—
1133#435—471no—
1134#435—471no—
1135#435—471no—
1136#435—471no—
1137C8×D4—471no—
1138C8×D4C2×D4711yescharacteristic, complemented
1139#432—471no—
1140#431—471no—
1141#419—471no—
1142#418—471no—
1143#417—471no—
1144#417—471no—
1145#416—471no—
1146#416—471no—
1147C2×#103—471no—
1148C2×#102—471no—
1149#407—471no—
1150#407—471no—
1151C2×C22⋊C8—471no—
1152C2×C22⋊C8—471no—
1153C47#6160611yescharacteristic, complemented, Sylow
1154C2×#41—471no—
1155C2×#41—471no—
1156C2×#41—471no—
1157C2×#41—471no—
1158C2×#41—471no—
1159C2×#41—471no—
1160C2×#41—471no—
1161C2×#41—941no—
1162C2×#41—941no—
1163C2×#41—941no—
1164C2×#41—941no—
1165C2×#41—1882no—
1166C2×#41—1882no—
1167C2×#41—1882no—
1168C2×#41—1882no—
1169C2×#41C22×D4711yescharacteristic
1170C2×#41C22×D4711yescharacteristic
1171C22×Q8—471no—
1172C22×Q8C22×D4711yescharacteristic
1173C22×Q8C22×D4711yescharacteristic
1174C22×D4—471no—
1175C22×D4—471no—
1176C22×D4—471no—
1177C22×D4—471no—
1178C22×D4—941no—
1179C22×D4—941no—
1180C22×D4—941no—
1181C22×D4—941no—
1182C23×C4—471no—
1183C23×C4—471no—
1184C23×C4—941no—
1185C23×C4—941no—
1186#137—1882no—
1187AGL(1,ℤ/8)—1882no—
1188AGL(1,ℤ/8)—1882no—
1189AGL(1,ℤ/8)—1882no—
1190#135—42no—
1191#135—1882no—
1192C2×Q16—42no—
1193C2×Q16—471no—
1194C2×Q16—471no—
1195C2×Q16C22×D4711yescharacteristic
1196C2×Q16C22×D4711yescharacteristic
1197C2×Q16C22×D4711yescharacteristic
1198C2×Q16C22×D4711yescharacteristic
1199C2×SD16—471no—
1200C2×SD16—471no—
1201C2×SD16—471no—
1202C2×SD16—471no—
1203C2×SD16—471no—
1204C2×SD16—471no—
1205C2×SD16—471no—
1206C2×SD16—471no—
1207C2×SD16—1882no—
1208C2×SD16C22×D4711yescharacteristic
1209C2×SD16C22×D4711yescharacteristic
1210C2×SD16C22×D4711yescharacteristic
1211C2×SD16C22×D4711yescharacteristic
1212C2×D8—471no—
1213C2×D8—471no—
1214C2×D8—471no—
1215C2×D8—471no—
1216C2×D8—471no—
1217C2×D8C22×D4711yescharacteristic
1218C2×M16—471no—
1219C2×M16—471no—
1220C2×M16—471no—
1221C2×M16—471no—
1222C22×C8—471no—
1223C22×C8—471no—
1224C22×C8C22×D4711yescharacteristic
1225C22×C8C22×D4711yescharacteristic
1226C4⋊Q8—471no—
1227C4⋊Q8—941no—
1228#127—471no—
1229#127—941no—
1230#126—941no—
1231#126—941no—
1232#126—941no—
1233#126—941no—
1234#126—941no—
1235#126—941no—
1236#125—471no—
1237#125—471no—
1238#125—941no—
1239#125—941no—
1240#124—21no—
1241#124—21no—
1242#124—471no—
1243#124—471no—
1244#124—941no—
1245#124—941no—
1246#124C22×D4711yescharacteristic
1247#124C22×D4711yescharacteristic
1248#123—941no—
1249#123—941no—
1250#123—941no—
1251#123—941no—
1252#123—941no—
1253#123—941no—
1254#123—941no—
1255#123—941no—
1256#123—941no—
1257#123—941no—
1258#123—941no—
1259#123—941no—
1260#123—941no—
1261#123—941no—
1262#123—941no—
1263#123—941no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—471no—
1267C22⋊Q8—471no—
1268C22⋊Q8—471no—
1269C22⋊Q8—471no—
1270C22⋊Q8—471no—
1271C22⋊Q8—471no—
1272C22⋊Q8—471no—
1273C22⋊Q8—471no—
1274C22⋊Q8—941no—
1275C22⋊Q8—941no—
1276C22⋊Q8—941no—
1277C22⋊Q8—941no—
1278C22⋊Q8—941no—
1279C22⋊Q8—941no—
1280C22⋊Q8C22×D4711yescharacteristic
1281C22⋊Q8C22×D4711yescharacteristic
1282#121—21no—
1283#121—21no—
1284#121—471no—
1285#121—471no—
1286#121—471no—
1287#121—471no—
1288#121—471no—
1289#121—471no—
1290#121—471no—
1291#121—471no—
1292#121—941no—
1293#121—941no—
1294#121—941no—
1295#121—941no—
1296#121—941no—
1297#121—941no—
1298#121—941no—
1299#121—941no—
1300#121—941no—
1301#121—941no—
1302#121—941no—
1303#121—941no—
1304#121—941no—
1305#121—941no—
1306#121—941no—
1307#121—941no—
1308#121C22×D4711yescharacteristic
1309#121C22×D4711yescharacteristic
1310#120—941no—
1311#120—941no—
1312#120—941no—
1313#120—941no—
1314#120—941no—
1315#120—941no—
1316#120—941no—
1317#120—941no—
1318#120—941no—
1319#120—941no—
1320C4×Q8—471no—
1321C4×Q8—471no—
1322C4×Q8C22×D4711yescharacteristic
1323C4×Q8C22×D4711yescharacteristic
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—471no—
1327C4×D4—471no—
1328C4×D4—471no—
1329C4×D4—471no—
1330C4×D4—471no—
1331C4×D4—471no—
1332C4×D4—471no—
1333C4×D4—471no—
1334C4×D4—471no—
1335C4×D4—471no—
1336C4×D4—471no—
1337C4×D4—941no—
1338C4×D4—941no—
1339C4×D4—941no—
1340C4×D4—941no—
1341C4×D4—941no—
1342C4×D4—941no—
1343C4×D4—941no—
1344C4×D4—941no—
1345C4×D4—941no—
1346C4×D4—941no—
1347C4×D4—941no—
1348C4×D4—941no—
1349C4×D4—941no—
1350C4×D4—941no—
1351C4×D4—941no—
1352C4×D4—941no—
1353C4×D4—941no—
1354C4×D4—941no—
1355C4×D4—941no—
1356C4×D4—941no—
1357C4×D4C22×D4711yescharacteristic
1358#117—471no—
1359#117—471no—
1360#117—471no—
1361#117—941no—
1362#117—941no—
1363#117—941no—
1364#117—941no—
1365#117—941no—
1366C2×C4⋊C4—471no—
1367C2×C4⋊C4—471no—
1368C2×C4⋊C4—471no—
1369C2×C4⋊C4—941no—
1370C2×C4⋊C4—941no—
1371C2×C22⋊C4—471no—
1372C2×C22⋊C4—471no—
1373C2×C22⋊C4—941no—
1374C2×C22⋊C4—941no—
1375C2×C22⋊C4—941no—
1376C2×C22⋊C4—941no—
1377C2×C22⋊C4—941no—
1378C2×C22⋊C4—941no—
1379C2×C42—471no—
1380C2×C42—941no—
1381#107—471no—
1382#107—471no—
1383#107—471no—
1384#107C22×D4711yescharacteristic
1385#106—471no—
1386#106—471no—
1387#106—471no—
1388#106—471no—
1389C4⋊C8—471no—
1390C4⋊C8—471no—
1391C4⋊C8—471no—
1392C4⋊C8C22×D4711yescharacteristic
1393#103—471no—
1394#103—471no—
1395#103—471no—
1396#103—471no—
1397#103—471no—
1398#103—471no—
1399#103—471no—
1400#103—471no—
1401#103—471no—
1402#103—471no—
1403#103—471no—
1404#103—471no—
1405#103C22×D4711yescharacteristic
1406#103C22×D4711yescharacteristic
1407#103C22×D4711yescharacteristic
1408#103C22×D4711yescharacteristic
1409#102—471no—
1410#102—471no—
1411#102—471no—
1412#102—471no—
1413#102—471no—
1414#102—471no—
1415#102—471no—
1416#102—471no—
1417#102—471no—
1418#102—471no—
1419#102—471no—
1420#102—471no—
1421#102—471no—
1422#102—471no—
1423#102C22×D4711yescharacteristic
1424#102C22×D4711yescharacteristic
1425C22⋊C8—471no—
1426C22⋊C8—471no—
1427C22⋊C8—471no—
1428C22⋊C8—471no—
1429C22⋊C8—471no—
1430C22⋊C8—471no—
1431C22⋊C8—471no—
1432C22⋊C8—471no—
1433C22⋊C8—471no—
1434C22⋊C8—471no—
1435C22⋊C8C22×D4711yescharacteristic
1436C22⋊C8C22×D4711yescharacteristic
1437#97—471no—
1438#97—471no—
1439C4×C8—471no—
1440C4×C8C22×D4711yescharacteristic
1441C24—471no—
1442C24—471no—
1443C24—941no—
1444C24—941no—
1445C24—941no—
1446#41—22no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—942no—
1451#41—942no—
1452#41—942no—
1453#41—942no—
1454#41—942no—
1455#41—1881no—
1456#41—1884no—
1457#41—1881no—
1458#41—1881no—
1459#41—1881no—
1460#41—1881no—
1461#41—1884no—
1462#41—1881no—
1463#41—1881no—
1464#41—1881no—
1465#41—1881no—
1466#41—1884no—
1467#41—1884no—
1468C2×Q8—21no—
1469C2×Q8—21no—
1470C2×Q8—22no—
1471C2×Q8—41no—
1472C2×Q8—41no—
1473C2×Q8—41no—
1474C2×Q8—471no—
1475C2×Q8—941no—
1476C2×Q8—942no—
1477C2×Q8—1881no—
1478C2×Q8C23×D4711yescharacteristic
1479C2×Q8C23×D4711yescharacteristic
1480C2×Q8C23×D4711yescharacteristic
1481C2×Q8C23×D4711yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—471no—
1487C2×D4—471no—
1488C2×D4—471no—
1489C2×D4—471no—
1490C2×D4—471no—
1491C2×D4—471no—
1492C2×D4—942no—
1493C2×D4—941no—
1494C2×D4—941no—
1495C2×D4—941no—
1496C2×D4—941no—
1497C2×D4—941no—
1498C2×D4—941no—
1499C2×D4—941no—
1500C2×D4—941no—
1501C2×D4—941no—
1502C2×D4—941no—
1503C2×D4—941no—
1504C2×D4—942no—
1505C2×D4—941no—
1506C2×D4—941no—
1507C2×D4—941no—
1508C2×D4—941no—
1509C2×D4—941no—
1510C2×D4—941no—
1511C2×D4—941no—
1512C2×D4—941no—
1513C2×D4—941no—
1514C2×D4—1881no—
1515C2×D4—1884no—
1516C2×D4—1881no—
1517C2×D4—1881no—
1518C2×D4—1881no—
1519C2×D4—1882no—
1520C2×D4—1884no—
1521C2×D4—1884no—
1522C2×D4—1884no—
1523C2×D4D4×D4711yescharacteristic
1524C2×D4C23×D4711yescharacteristic
1525C2×D4C23×D4711yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—471no—
1531C22×C4—471no—
1532C22×C4—471no—
1533C22×C4—471no—
1534C22×C4—471no—
1535C22×C4—471no—
1536C22×C4—471no—
1537C22×C4—471no—
1538C22×C4—471no—
1539C22×C4—471no—
1540C22×C4—471no—
1541C22×C4—941no—
1542C22×C4—941no—
1543C22×C4—941no—
1544C22×C4—941no—
1545C22×C4—941no—
1546C22×C4—941no—
1547C22×C4—941no—
1548C22×C4—941no—
1549C22×C4—941no—
1550C22×C4—941no—
1551C22×C4—941no—
1552C22×C4—941no—
1553C22×C4—941no—
1554C22×C4—941no—
1555C22×C4—1881no—
1556C22×C4—1881no—
1557C22×C4—1881no—
1558C22×C4—1881no—
1559C22×C4—1884no—
1560C22×C4—1884no—
1561C22×C4C23×D4711yescharacteristic
1562C22×C4C23×D4711yescharacteristic
1563Q16—22no—
1564Q16—22no—
1565Q16—41no—
1566Q16—41no—
1567Q16—1881no—
1568Q16—1881no—
1569SD16—22no—
1570SD16—41no—
1571SD16—41no—
1572SD16—41no—
1573SD16—942no—
1574SD16—942no—
1575SD16—942no—
1576SD16—1881no—
1577SD16—1881no—
1578SD16—1881no—
1579SD16—1881no—
1580SD16—1881no—
1581D8—41no—
1582D8—942no—
1583D8—942no—
1584D8—1881no—
1585D8—1881no—
1586D8—1881no—
1587M16—1881no—
1588M16—1881no—
1589M16—1881no—
1590M16—1881no—
1591C2×C8—41no—
1592C2×C8—41no—
1593C2×C8—471no—
1594C2×C8—471no—
1595C2×C8—471no—
1596C2×C8—471no—
1597C2×C8—1881no—
1598C2×C8—1881no—
1599C2×C8C23×D4711yescharacteristic
1600C2×C8C23×D4711yescharacteristic
1601C2×C8C23×D4711yescharacteristic
1602C2×C8C23×D4711yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—471no—
1608C4⋊C4—471no—
1609C4⋊C4—471no—
1610C4⋊C4—471no—
1611C4⋊C4—471no—
1612C4⋊C4—471no—
1613C4⋊C4—471no—
1614C4⋊C4—941no—
1615C4⋊C4—941no—
1616C4⋊C4—941no—
1617C4⋊C4—941no—
1618C4⋊C4—941no—
1619C4⋊C4—941no—
1620C4⋊C4—941no—
1621C4⋊C4—941no—
1622C4⋊C4—941no—
1623C4⋊C4—941no—
1624C4⋊C4—941no—
1625C4⋊C4—941no—
1626C4⋊C4—941no—
1627C4⋊C4—941no—
1628C4⋊C4—941no—
1629C4⋊C4—941no—
1630C4⋊C4—941no—
1631C4⋊C4—941no—
1632C4⋊C4D4×D4711yescharacteristic
1633C4⋊C4C23×D4711yescharacteristic
1634C4⋊C4C23×D4711yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—471no—
1644C22⋊C4—471no—
1645C22⋊C4—471no—
1646C22⋊C4—471no—
1647C22⋊C4—471no—
1648C22⋊C4—471no—
1649C22⋊C4—941no—
1650C22⋊C4—941no—
1651C22⋊C4—941no—
1652C22⋊C4—941no—
1653C22⋊C4—941no—
1654C22⋊C4—941no—
1655C22⋊C4—941no—
1656C22⋊C4—941no—
1657C22⋊C4—941no—
1658C22⋊C4—941no—
1659C22⋊C4—941no—
1660C22⋊C4—941no—
1661C22⋊C4—941no—
1662C22⋊C4—941no—
1663C22⋊C4—941no—
1664C22⋊C4—941no—
1665C22⋊C4—941no—
1666C22⋊C4—941no—
1667C22⋊C4—941no—
1668C22⋊C4—941no—
1669C22⋊C4—941no—
1670C22⋊C4—941no—
1671C22⋊C4—941no—
1672C22⋊C4—941no—
1673C22⋊C4—941no—
1674C22⋊C4—941no—
1675C22⋊C4—941no—
1676C22⋊C4D4×D4711yescharacteristic
1677C22⋊C4D4×D4711yescharacteristic
1678C42—21no—
1679C42—21no—
1680C42—471no—
1681C42—471no—
1682C42—471no—
1683C42—941no—
1684C42—941no—
1685C42—941no—
1686C42—941no—
1687C42—941no—
1688C42C23×D4711yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—471no—
1692C23—471no—
1693C23—471no—
1694C23—942no—
1695C23—941no—
1696C23—941no—
1697C23—941no—
1698C23—3761no—
1699C23—3761no—
1700C23—3761no—
1701C23—3761no—
1702C23—1881no—
1703C23—1881no—
1704C23—1881no—
1705C23—1881no—
1706C23—1881no—
1707C23—1882no—
1708C23—1882no—
1709C23—1882no—
1710C23—1882no—
1711C23—1882no—
1712C23C2×D4×D4711yescharacteristic
1713C23C2×D4×D4711yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—21no—
1721Q8—42no—
1722Q8—81no—
1723Q8—941no—
1724Q8—941no—
1725Q8—1882no—
1726Q8#1309406912yes—
1727D4—22no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—42no—
1733D4—42no—
1734D4—42no—
1735D4—81no—
1736D4—472no—
1737D4—944no—
1738D4—942no—
1739D4—941no—
1740D4—941no—
1741D4—941no—
1742D4—941no—
1743D4—941no—
1744D4—3761no—
1745D4—3761no—
1746D4—3761no—
1747D4—3761no—
1748D4—3761no—
1749D4—3761no—
1750D4—3761no—
1751D4—1881no—
1752D4—1882no—
1753D4—1882no—
1754D4—1882no—
1755D4—1882no—
1756D4—1882no—
1757D4—1882no—
1758D4—1881no—
1759D4—1882no—
1760D4—1882no—
1761D4—1882no—
1762D4—1882no—
1763D4—1882no—
1764D4—1882no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—42no—
1776C2×C4—42no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—471no—
1780C2×C4—471no—
1781C2×C4—471no—
1782C2×C4—471no—
1783C2×C4—471no—
1784C2×C4—944no—
1785C2×C4—941no—
1786C2×C4—941no—
1787C2×C4—941no—
1788C2×C4—941no—
1789C2×C4—941no—
1790C2×C4—941no—
1791C2×C4—941no—
1792C2×C4—941no—
1793C2×C4—941no—
1794C2×C4—941no—
1795C2×C4—941no—
1796C2×C4—3761no—
1797C2×C4—3761no—
1798C2×C4—3761no—
1799C2×C4—3761no—
1800C2×C4—3761no—
1801C2×C4—1881no—
1802C2×C4—1881no—
1803C2×C4—1881no—
1804C2×C4—1881no—
1805C2×C4—1881no—
1806C2×C4—1881no—
1807C2×C4—1882no—
1808C2×C4—1882no—
1809C2×C4—1882no—
1810C2×C4—1882no—
1811C2×C4—1882no—
1812C2×C4—1882no—
1813C2×C4—1882no—
1814C2×C4—1881no—
1815C2×C4—1881no—
1816C2×C4—1882no—
1817C2×C4C2×D4×D4711yescharacteristic
1818C2×C4C2×D4×D4711yescharacteristic
1819C2×C4C2×D4×D4711yescharacteristic
1820C2×C4C2×D4×D4711yescharacteristic
1821C2×C4C24×D4711yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—941no—
1827C8—941no—
1828C8—941no—
1829C8—941no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—941no—
1842C22—941no—
1843C22—941no—
1844C22—941no—
1845C22—941no—
1846C22—941no—
1847C22—941no—
1848C22—942no—
1849C22—941no—
1850C22—941no—
1851C22—3764no—
1852C22—3762no—
1853C22—3762no—
1854C22—3764no—
1855C22—1881no—
1856C22—1881no—
1857C22—1881no—
1858C22—1881no—
1859C22—1881no—
1860C22—1881no—
1861C22—1881no—
1862C22—1881no—
1863C22—7522no—
1864C22#1568992012yes—
1865C22C22×D4×D4711yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—22no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—941no—
1877C4—941no—
1878C4—941no—
1879C4—941no—
1880C4—941no—
1881C4—1881no—
1882C4—1881no—
1883C4—1881no—
1884C4—1881no—
1885C4—1881no—
1886C4H(5,𝔽2)×D4711yescharacteristic
1887C4C2×#1309406911yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—81no—
1891C2—81no—
1892C2—3761no—
1893C2—3761no—
1894C2—1881no—
1895C2—1881no—
1896C2—1881no—
1897C2—1882no—
1898C2#2025701611yescharacteristic
1899C2C2×#1568992011yescharacteristic
1900C2#2025815811yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3285C2
socleC22×C47C23×D4
hypercenter#3285D47
hypocenterC47#61606
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3285

Complements

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

NH ≅ G/Ntype
1. #20257224C2semidirect
2. #20256877C2semidirect
3. #20255661C2semidirect
4. #20255611C2semidirect
5. #20255563C2semidirect
6. #20255535C2semidirect
7. #20255518C2semidirect
8. #20255490C2semidirect
9. #20255290C2semidirect
10. #20255240C2semidirect
11. #20255096C2semidirect
12. #20255014C2semidirect
13. #20254997C2semidirect
14. #20254958C2semidirect
15. #20254928C2semidirect
16. #20254917C2semidirect
17. #20254876C2semidirect
18. #20254430C2semidirect
19. #20254359C2semidirect
20. #20254229C2semidirect
21. #20254215C2semidirect
22. #20254182C2semidirect
23. #20254148C2semidirect
24. #20253496C2semidirect
25. #20253412C2semidirect
26. #20252639C2semidirect
27. #20252631C2semidirect
28. #20252602C2semidirect
29. C2×#15689284C2semidirect
30. #20252421C2semidirect
31. C47×#3285C2semidirect
33. C2×#41×D47C22semidirect
34. C2×#13094056C22semidirect
35. C2×#13094051C22semidirect
36. C2×#13094051C22semidirect
37. C2×#13094051C22semidirect
38. C2×#13094044C22semidirect
39. C22×#10625336C22semidirect
42. #15689819C22semidirect
44. #15689814C22semidirect
45. #15689807C22semidirect
49. Q8×C22⋊D47C22semidirect
55. #15689769C22semidirect
58. #15689766C22semidirect
59. #15689761C22semidirect
61. #15689757C22semidirect
66. #15689672C22semidirect
67. #15689660C22semidirect
68. #15689652C22semidirect
70. #15689636C22semidirect
71. #15689636C22semidirect
74. #15689630C22semidirect
75. C2×#13094000C22semidirect
76. #121×D47C22semidirect
78. C4×#10625354C22semidirect
81. #15689516C22semidirect
82. #15689509C22semidirect
83. #15689505C22semidirect
84. #15689490C22semidirect
85. #15689486C22semidirect
86. #15689478C22semidirect
87. #15689477C22semidirect
88. #15689463C22semidirect
89. #15689463C22semidirect
90. #15689463C22semidirect
91. #15689461C22semidirect
92. #15689460C22semidirect
93. #15689459C22semidirect
94. #15689450C22semidirect
95. #15689450C22semidirect
96. #15689448C22semidirect
97. #15689446C22semidirect
98. #15689440C22semidirect
99. #15689439C22semidirect
100. #15689432C22semidirect
101. #15689430C22semidirect
102. #15689426C22semidirect
103. #15689424C22semidirect
104. #15689380C22semidirect
105. #15689380C22semidirect
106. #15689378C22semidirect
107. #15689375C22semidirect
108. #15689372C22semidirect
109. #15689366C22semidirect
110. #15689366C22semidirect
111. #15689366C22semidirect
112. #15689359C22semidirect
113. #15689357C22semidirect
114. #15689354C22semidirect
115. #15689354C22semidirect
116. #15689352C22semidirect
117. #15689350C22semidirect
118. #15689347C22semidirect
119. #15689345C22semidirect
120. #15689341C22semidirect
121. #15689339C22semidirect
122. #15689335C22semidirect
123. #15689335C22semidirect
124. #15689331C22semidirect
125. #15689326C22semidirect
126. #15689321C22semidirect
127. #15689316C22semidirect
128. #15689284C22semidirect
129. #15689284C22semidirect
130. #15689284C22semidirect
131. #15689284C22semidirect
132. #15689284C22semidirect
133. #15689284C22semidirect
134. #15689284C22semidirect
135. #15689284C22semidirect
136. #15689284C22semidirect
137. #15689283C22semidirect
138. #15689282C22semidirect
139. #15689282C22semidirect
140. #15689279C22semidirect
141. #15689277C22semidirect
142. #15689275C22semidirect
143. #15689272C22semidirect
145. #15689271C22semidirect
146. #15689271C22semidirect
147. #15689270C22semidirect
148. #15689269C22semidirect
149. #15689268C22semidirect
150. #15689268C22semidirect
152. #15689267C22semidirect
153. #15689265C22semidirect
154. #15689262C22semidirect
155. #15689260C22semidirect
156. #15689259C22semidirect
157. #15689256C22semidirect
158. #15689255C22semidirect
159. #15689255C22semidirect
160. #15689232C22semidirect
161. #15689230C22semidirect
162. #15689226C22semidirect
163. #15689224C22semidirect
164. C4×#10625336C22semidirect
165. C4×#10625336C22semidirect
166. C4×D376C22semidirect
167. #15689202C22semidirect
168. #15689200C22semidirect
169. #15689194C22semidirect
170. #15689194C22semidirect
171. #15689191C22semidirect
172. #15689191C22semidirect
173. D4×C47⋊C8C22semidirect
174. #15689179C22semidirect
175. #15689174C22semidirect
176. #15689130C22semidirect
177. #15689126C22semidirect
178. #15689123C22semidirect
179. #15689123C22semidirect
180. #15689120C22semidirect
181. #15689119C22semidirect
182. C2×#13093948C22semidirect
183. C2×#13093946C22semidirect
184. #15689085C22semidirect
185. #15689085C22semidirect
186. C2×(C2×D47)⋊C8C22semidirect
187. C2×(C2×D47)⋊C8C22semidirect
188. C2×#135×C47C22semidirect
189. C22×Q16×C47C22semidirect
190. C47×#548C22semidirect
191. C47×#548C22semidirect
192. C47×#495C22semidirect
193. C47×#467C22semidirect
194. C47×#466C22semidirect
195. C47×#464C22semidirect
196. C47×#464C22semidirect
197. C47×#452C22semidirect
198. C47×#452C22semidirect
199. C47×#448C22semidirect
200. C47×#448C22semidirect
201. C4×Q16×C47C22semidirect
202. C8×D4×C47C22semidirect
948. #3285D47semidirect
989. C2×#135C2×D47semidirect
990. C22×Q16C2×D47semidirect
1004. #548C2×D47semidirect
1005. #548C2×D47semidirect
1038. #495C2×D47semidirect
1067. #467C2×D47semidirect
1070. #466C2×D47semidirect
1077. #464C2×D47semidirect
1078. #464C2×D47semidirect
1099. #452C2×D47semidirect
1100. #452C2×D47semidirect
1117. #448C2×D47semidirect
1118. #448C2×D47semidirect
1127. C4×Q16C2×D47semidirect
1138. C8×D4C2×D47semidirect
1153. C47#61606semidirect

Maximal subgroups

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

subgroupindex
#202572242
#202568772
#202556612
#202556112
#202555632
#202555352
#202555182
#202554902
#202552902
#202552402
#202550962
#202550142
#202549972
#202549582
#202549282
#202549172
#202548762
#202544302
#202543592
#202542292
#202542152
#202541822
#202541482
#202534962
#202534122
#202526392
#202526312
#202526022
C2×#156892842
#202524212
C47×#32852
#6160647