Finite Group Databasebeta

← #27111762

Subgroups — #27111762

Order 12032.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257903C211yesmaximal, characteristic, complemented
2#20257401C211yesmaximal, characteristic, complemented
3#20256457C211yesmaximal, characteristic, complemented
4#20256452C211yesmaximal, characteristic, complemented
5#20256205C211yesmaximal, characteristic, complemented
6#20256201C211yesmaximal, characteristic, complemented
7#20255616C211yesmaximal, characteristic, complemented
8#20255614C211yesmaximal, characteristic, complemented
9#20255550C211yesmaximal, characteristic, complemented
10#20255539C211yesmaximal, characteristic, complemented
11#20255460C211yesmaximal, characteristic, complemented
12#20255451C211yesmaximal, characteristic, complemented
13#20255042C211yesmaximal, characteristic, complemented
14#20255040C211yesmaximal, characteristic, complemented
15#20254905C211yesmaximal, characteristic, complemented
16#20254895C211yesmaximal, characteristic, complemented
17#20254889C211yesmaximal, characteristic, complemented
18#20254880C211yesmaximal, characteristic, complemented
19#20254848C211yesmaximal, characteristic, complemented
20#20254774C211yesmaximal, characteristic, complemented
21#20254481C211yesmaximal, characteristic, complemented
22#20254476C211yesmaximal, characteristic, complemented
23#20254389C211yesmaximal, characteristic, complemented
24#20253622C211yesmaximal, characteristic, complemented
25#20253611C211yesmaximal, characteristic, complemented
26#20253541C211yesmaximal, characteristic, complemented
27#20252910C211yesmaximal, characteristic, complemented
28#20252907C211yesmaximal, characteristic, complemented
29#20252877C211yesmaximal, characteristic, complemented
30#20252556C211yesmaximal, characteristic, complemented
31C47×#3262C211yesmaximal, characteristic, complemented
32C2×#13094057C2211yescharacteristic, complemented
33C2×#13094056C2211yescharacteristic, complemented
34C2×#13094053C2211yescharacteristic, complemented
35C2×#13094048C2211yescharacteristic
36C22×#10625325C2211yescharacteristic, complemented
37C2×SD16×D47C2211yescharacteristic, complemented
38#15689869—21no—
39#15689865—21no—
40#15689858C2211yescharacteristic
41#15689856C2211yescharacteristic
42#15689853C2211yescharacteristic, complemented
43#15689847C2211yescharacteristic, complemented
44#15689844C2211yescharacteristic, complemented
45#15689842—21no—
46#15689842C2211yescharacteristic, complemented
47#15689840—21no—
48#15689840—21no—
49#15689837C2211yescharacteristic, complemented
50#15689835—21no—
51#15689786C2211yescharacteristic, complemented
52#15689785C2211yescharacteristic
53#15689783C2211yescharacteristic
54#15689781C2211yescharacteristic, complemented
55#15689779C2211yescharacteristic, complemented
56#15689770C2211yescharacteristic
57#15689766—21no—
58#15689764—21no—
59#15689764C2211yescharacteristic
60D4×D188C2211yescharacteristic
61#15689757C2211yescharacteristic
62#15689747C2211yescharacteristic
63#15689743—21no—
64#15689741—21no—
65#15689738C2211yescharacteristic, complemented
66#15689712—21no—
67#15689712—21no—
68#15689709—21no—
69#15689692C2211yescharacteristic
70#15689691C2211yescharacteristic
71#15689684—21no—
72#15689677C2211yescharacteristic, complemented
73#15689675—21no—
74#15689674C2211yescharacteristic
75#15689651C2211yescharacteristic
76#15689650—21no—
77#124×D47C2211yescharacteristic
78#15689600C2211yescharacteristic, complemented
79#15689599C2211yescharacteristic, complemented
80C4×#10625352C2211yescharacteristic, complemented
81#15689516C2211yescharacteristic, complemented
82#15689514C2211yescharacteristic, complemented
83#15689513C2211yescharacteristic
84#15689511C2211yescharacteristic
85#15689505C2211yescharacteristic, complemented
86#15689504C2211yescharacteristic, complemented
87#15689485C2211yescharacteristic, complemented
88#15689484C2211yescharacteristic, complemented
89#15689484C2211yescharacteristic, complemented
90#15689481C2211yescharacteristic, complemented
91#15689471C2211yescharacteristic
92#15689468C2211yescharacteristic
93#15689466C2211yescharacteristic, complemented
94#15689461C2211yescharacteristic, complemented
95#15689450C2211yescharacteristic
96#15689450C2211yescharacteristic, complemented
97#15689450C2211yescharacteristic, complemented
98#15689444C2211yescharacteristic
99#15689417C2211yescharacteristic, complemented
100#15689415C2211yescharacteristic, complemented
101#15689405C2211yescharacteristic, complemented
102#15689402C2211yescharacteristic, complemented
103#15689402C2211yescharacteristic, complemented
104#15689402C2211yescharacteristic, complemented
105#15689372C2211yescharacteristic, complemented
106#15689372C2211yescharacteristic, complemented
107#15689370C2211yescharacteristic
108#15689370C2211yescharacteristic, complemented
109#15689370C2211yescharacteristic, complemented
110#15689368C2211yescharacteristic, complemented
111#15689365C2211yescharacteristic, complemented
112#15689358C2211yescharacteristic
113#15689348C2211yescharacteristic, complemented
114#15689348C2211yescharacteristic, complemented
115#15689347C2211yescharacteristic, complemented
116#15689346C2211yescharacteristic, complemented
117#15689346C2211yescharacteristic, complemented
118#15689346C2211yescharacteristic, complemented
119#15689346C2211yescharacteristic, complemented
120#15689345C2211yescharacteristic, complemented
121#15689344C2211yescharacteristic, complemented
122#15689344C2211yescharacteristic, complemented
123#15689342C2211yescharacteristic, complemented
124#15689342C2211yescharacteristic, complemented
125#15689340C2211yescharacteristic, complemented
126#15689338C2211yescharacteristic, complemented
127#15689337C2211yescharacteristic, complemented
128#15689336C2211yescharacteristic, complemented
129#15689327C2211yescharacteristic, complemented
130#15689327C2211yescharacteristic, complemented
131#15689324C2211yescharacteristic
132#15689324C2211yescharacteristic
133#15689324C2211yescharacteristic, complemented
134#15689324C2211yescharacteristic, complemented
135#15689323C2211yescharacteristic, complemented
136#15689322C2211yescharacteristic
137#15689321C2211yescharacteristic
138#15689318C2211yescharacteristic, complemented
139#15689288C2211yescharacteristic, complemented
140#15689283C2211yescharacteristic, complemented
141#15689280C2211yescharacteristic, complemented
142#15689280C2211yescharacteristic, complemented
143#15689278C2211yescharacteristic, complemented
144#15689277C2211yescharacteristic, complemented
145#15689275C2211yescharacteristic
146#15689275C2211yescharacteristic, complemented
147#15689273C2211yescharacteristic, complemented
148#15689272C2211yescharacteristic
149#15689269C2211yescharacteristic, complemented
150#15689269C2211yescharacteristic, complemented
151#15689267C2211yescharacteristic, complemented
152#15689266C2211yescharacteristic, complemented
153#15689263C2211yescharacteristic
154#15689261C2211yescharacteristic
155#15689256C2211yescharacteristic, complemented
156#15689255C2211yescharacteristic, complemented
157#15689252C2211yescharacteristic, complemented
158#15689250C2211yescharacteristic, complemented
159#15689232C2211yescharacteristic, complemented
160#15689232C2211yescharacteristic, complemented
161#15689228C2211yescharacteristic, complemented
162#15689227C2211yescharacteristic, complemented
163#15689223C2211yescharacteristic, complemented
164#15689222C2211yescharacteristic, complemented
165#15689222C2211yescharacteristic, complemented
166#15689222C2211yescharacteristic, complemented
167#15689217C2211yescharacteristic, complemented
168C4×#10625337C2211yescharacteristic, complemented
169C4×#10625335C2211yescharacteristic, complemented
170#15689208C2211yescharacteristic, complemented
171#15689200C2211yescharacteristic, complemented
172#15689199C2211yescharacteristic, complemented
173#15689194C2211yescharacteristic, complemented
174#15689194C2211yescharacteristic, complemented
175#15689193C2211yescharacteristic, complemented
176#15689192C2211yescharacteristic, complemented
177#15689184C2211yescharacteristic, complemented
178#15689183C2211yescharacteristic, complemented
179#15689179C2211yescharacteristic, complemented
180#15689148C2211yescharacteristic, complemented
181#15689145C2211yescharacteristic, complemented
182#15689130C2211yescharacteristic, complemented
183#15689129C2211yescharacteristic, complemented
184#15689126C2211yescharacteristic
185#15689126C2211yescharacteristic, complemented
186#15689120C2211yescharacteristic, complemented
187#15689118C2211yescharacteristic, complemented
188C47×#542C2211yescharacteristic
189C47×#542C2211yescharacteristic, complemented
190C47×#477C2211yescharacteristic, complemented
191C47×#477C2211yescharacteristic, complemented
192C47×#474C2211yescharacteristic, complemented
193C47×#474C2211yescharacteristic, complemented
194C47×#468C2211yescharacteristic
195C47×#468C2211yescharacteristic, complemented
196C47×#467C2211yescharacteristic, complemented
197C47×#466C2211yescharacteristic
198C47×#464C2211yescharacteristic, complemented
199C47×#464C2211yescharacteristic, complemented
200C47×#463C2211yescharacteristic, complemented
201C47×#463C2211yescharacteristic, complemented
202C47×#424C2211yescharacteristic, complemented
203C2×#10625354—21no—
204C2×#10625354C2311yescharacteristic
205C2×#10625350C2311yescharacteristic
206C2×#10625352C2311yescharacteristic
207C22×Dic94C2311yescharacteristic
208C2×Q8×D47C2311yescharacteristic
209C2×Q8×D47C2311yescharacteristic
210C22×D188—21no—
211C22×D188C2311yescharacteristic
212C2×D4×D47—21no—
213C2×D4×D47C2311yescharacteristic
214C2×D4×D47C2311yescharacteristic
215#13094057—42no—
216#13094056—42no—
217#13094053—42no—
218#13094048—42no—
219C2×Dic188C2311yescharacteristic
220C2×Dic188C2311yescharacteristic
221C2×#10625337C2311yescharacteristic
222C2×#10625337C2311yescharacteristic
223C2×#10625337C2311yescharacteristic
224C2×#10625325—42no—
225C2×#10625325C2311yescharacteristic
226C2×#10625325C2311yescharacteristic
227C2×#10625325C2311yescharacteristic
228C2×#10625325C2311yescharacteristic
229C2×#10625325C2311yescharacteristic
230C2×#10625325C2311yescharacteristic
231C2×#10625335C2311yescharacteristic
232C2×#10625335C2311yescharacteristic
233C2×#10625335C2311yescharacteristic
234C2×#10625336C2311yescharacteristic
235C2×#10625336C2311yescharacteristic
236C2×#10625336C2311yescharacteristic
237SD16×D47—42no—
238C2×#10625334C2311yescharacteristic
239C2×#10625334C2311yescharacteristic
240C2×#10625334C2311yescharacteristic
241C2×#10625324C2311yescharacteristic
242C2×#10625324C2311yescharacteristic
243C2×#10625324C2311yescharacteristic
244C2×C8×D47C2311yescharacteristic
245#13094023—21no—
246#13094023—21no—
247#13094023C2311yescharacteristic
248#13094023C2311yescharacteristic
249#13094022—21no—
250#13094022—21no—
251#13094022C2311yescharacteristic
252#13094021C2311yescharacteristic
253#13094021C2311yescharacteristic
254#13094020C2311yescharacteristic
255#13094019—21no—
256#13094019—21no—
257#13094019—21no—
258#13094019—21no—
259#13094019D411yescharacteristic
260#13094017—21no—
261#13094017—21no—
262#13094017—21no—
263#13094017—21no—
264#13094017D411yescharacteristic
265#13094014—21no—
266#13094014D411yescharacteristic
267#13094013—21no—
268#13094013—21no—
269#13094013—21no—
270#13094013C2311yescharacteristic
271#13094013C2311yescharacteristic
272#13094012—21no—
273#13094012—21no—
274#13094012C2311yescharacteristic
275#13094012C2311yescharacteristic
276#13094011—21no—
277#13094011C2311yescharacteristic
278#13094011C2311yescharacteristic
279#13094010—21no—
280#13094010—21no—
281#13094010—21no—
282#13094010—21no—
283#13094010—21no—
284#13094010—21no—
285#13094010—21no—
286#13094010—21no—
287#13094010—21no—
288#13094010D411yescharacteristic
289#13094009—21no—
290#13094009—21no—
291#13094009—21no—
292#13094009—21no—
293#13094009D411yescharacteristic
294#13094007—21no—
295#13094007—21no—
296#13094006—21no—
297#13094006—21no—
298#13094006D411yescharacteristic
299#13094004—21no—
300#13094004C2311yescharacteristic
301#13094004C2311yescharacteristic
302#13094004C2311yescharacteristic
303#13094003—21no—
304#13094002—21no—
305#13094002—21no—
306#13094002—21no—
307#13094002D411yescharacteristic
308#13094001—21no—
309#13094001—21no—
310#13094001—21no—
311#13094001—21no—
312#13094000—21no—
313#13094000C2311yescharacteristic
314#13093999—21no—
315#13093999—21no—
316#13093999—21no—
317#13093999—21no—
318#13093999—21no—
319#13093999C2311yescharacteristic
320#13093999C2311yescharacteristic
321#13093999C2311yescharacteristic
322#13093998—21no—
323#13093997—21no—
324#13093997—21no—
325#13093997—21no—
326#13093997—21no—
327#13093997—21no—
328#13093997D411yescharacteristic
329#13093996—21no—
330#13093996—21no—
331#13093995—21no—
332#13093995C2311yescharacteristic
333#13093994—21no—
334#13093994—21no—
335#13093994—21no—
336#13093994—21no—
337#13093994—21no—
338#13093994—21no—
339#13093994—21no—
340#13093994—21no—
341#13093992—21no—
342#13093992—21no—
343Q8×Dic47—21no—
344Q8×Dic47C2311yescharacteristic
345C4×Dic94—21no—
346C4×Dic94—21no—
347C4×Dic94C2311yescharacteristic
348C4×Dic94C2311yescharacteristic
349C4×Dic94C2311yescharacteristic
350C4×Dic94C2311yescharacteristic
351C4×Dic94C2311yescharacteristic
352#13093989—21no—
353#13093989—21no—
354#13093989—21no—
355#13093989—21no—
356#13093989—21no—
357#13093989C2311yescharacteristic
358#13093989C2311yescharacteristic
359#13093989C2311yescharacteristic
360C4×D188—21no—
361C4×D188—21no—
362C4×D188C2311yescharacteristic
363D4×Dic47—21no—
364D4×Dic47C2311yescharacteristic
365#13093986—21no—
366#13093986—21no—
367#13093986C2311yescharacteristic
368#13093986C2311yescharacteristic
369#13093986C2311yescharacteristic
370C4×C22⋊D47—21no—
371C4×C22⋊D47—21no—
372C4×C22⋊D47C2311yescharacteristic
373C4×C22⋊D47C2311yescharacteristic
374(C22⋊D47)⋊C4—21no—
375(C22⋊D47)⋊C4—21no—
376(C22⋊D47)⋊C4—21no—
377#13093983C2311yescharacteristic
378#13093982—21no—
379#13093982C2311yescharacteristic
380#13093982C2311yescharacteristic
381#13093981—21no—
382#13093981—21no—
383#13093981C2311yescharacteristic
384#13093980—21no—
385#13093980—21no—
386#13093980—21no—
387#13093980—21no—
388#13093980—21no—
389C22⋊C4×D47—21no—
390C22⋊C4×D47—21no—
391C22⋊C4×D47—21no—
392C22⋊C4×D47—21no—
393C2×C4×Dic47—21no—
394C42×D47C2311yescharacteristic
395#13093957C2311yescharacteristic
396#13093957C2311yescharacteristic
397#13093955C2311yescharacteristic
398#13093955C2311yescharacteristic
399C4⋊(C47⋊C8)C2311yescharacteristic
400C4⋊(C47⋊C8)C2311yescharacteristic
401Dic47⋊C8C2311yescharacteristic
402Dic47⋊C8C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405#13093949C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093948C2311yescharacteristic
408#13093948C2311yescharacteristic
409#13093947C2311yescharacteristic
410#13093947C2311yescharacteristic
411#13093947C2311yescharacteristic
412#13093947C2311yescharacteristic
413#13093947C2311yescharacteristic
414#13093947C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093944C2311yescharacteristic
424#13093944C2311yescharacteristic
425#13093944C2311yescharacteristic
426#13093944C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429C22⋊(C47⋊C8)C2311yescharacteristic
430C22⋊(C47⋊C8)C2311yescharacteristic
431(C2×D47)⋊C8C2311yescharacteristic
432(C2×D47)⋊C8C2311yescharacteristic
433(C2×D47)⋊C8C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435#13093935C2311yescharacteristic
436#13093934C2311yescharacteristic
437#13093934C2311yescharacteristic
438#13093934C2311yescharacteristic
439C4×C47⋊C8C2311yescharacteristic
440C8×Dic47C2311yescharacteristic
441C2×Q16×C47C2311yescharacteristic
442C2×SD16×C47C2311yescharacteristic
443C2×SD16×C47C2311yescharacteristic
444C2×D8×C47C2311yescharacteristic
445C2×M16×C47C2311yescharacteristic
446C22×C8×C47C2311yescharacteristic
447C4⋊Q8×C47C2311yescharacteristic
448C4⋊Q8×C47C2311yescharacteristic
449#126×C47—21no—
450#126×C47—21no—
451#124×C47—21no—
452#124×C47—21no—
453#124×C47C2311yescharacteristic
454#124×C47C2311yescharacteristic
455#123×C47—21no—
456#123×C47—21no—
457C22⋊Q8×C47—21no—
458C22⋊Q8×C47—21no—
459C22⋊Q8×C47C2311yescharacteristic
460C22⋊Q8×C47C2311yescharacteristic
461#121×C47C2311yescharacteristic
462#121×C47C2311yescharacteristic
463C4×Q8×C47C2311yescharacteristic
464C4×Q8×C47C2311yescharacteristic
465C4×D4×C47C2311yescharacteristic
466C4×D4×C47C2311yescharacteristic
467#117×C47C2311yescharacteristic
468#107×C47C2311yescharacteristic
469#107×C47C2311yescharacteristic
470#107×C47C2311yescharacteristic
471#107×C47C2311yescharacteristic
472C4⋊C8×C47C2311yescharacteristic
473C4⋊C8×C47C2311yescharacteristic
474C4⋊C8×C47C2311yescharacteristic
475C4⋊C8×C47C2311yescharacteristic
476#103×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484C23×D47—21no—
485C23×D47—21no—
486C23×D47—21no—
487C2×Q8×C47—21no—
488C2×Q8×C47—21no—
489C2×Q8×C47C2411yescharacteristic
490C2×Q8×C47C2411yescharacteristic
491C2×D4×C47—21no—
492C2×D4×C47—21no—
493C2×D4×C47C2411yescharacteristic
494C2×D4×C47C2411yescharacteristic
495C22×C4×C47—21no—
496C22×C4×C47—21no—
497C22×C4×C47C2411yescharacteristic
498C2×C22⋊D47—21no—
499C2×C22⋊D47—21no—
500C2×C22⋊D47—21no—
501C2×C22⋊D47—21no—
502C2×C22⋊D47—21no—
503C2×C22⋊D47—21no—
504C2×C22⋊D47—21no—
505C2×C22⋊D47C2×D411yescharacteristic
506C2×C22⋊D47C2×D411yescharacteristic
507C22×Dic47—21no—
508C22×Dic47—21no—
509C22×Dic47—21no—
510#10625354—41no—
511#10625354—41no—
512#10625354—82no—
513Q8×D47—22no—
514Q8×D47—41no—
515Q8×D47—41no—
516Q8×D47—41no—
517#10625352—22no—
518#10625352—41no—
519D4×D47—41no—
520D4×D47—41no—
521D4×D47—41no—
522D4×D47—41no—
523D4×D47—82no—
524#10625350—41no—
525#10625350—41no—
526C2×D188—21no—
527C2×D188—21no—
528C2×D188—21no—
529C2×D188—21no—
530C2×D188—21no—
531C2×D188—21no—
532C2×D188—21no—
533C2×D188—21no—
534C2×D188—21no—
535C2×D188—41no—
536C2×D188—41no—
537C2×D188—82no—
538C2×D188C2×D411yescharacteristic
539C2×D188C2411yescharacteristic
540C2×D188C2411yescharacteristic
541C2×D188C2411yescharacteristic
542C2×C4×D47—21no—
543C2×C4×D47—21no—
544C2×C4×D47—21no—
545C2×C4×D47—21no—
546C2×C4×D47—21no—
547C2×C4×D47—21no—
548C2×C4×D47—21no—
549C2×C4×D47C2×D411yescharacteristic
550C2×C4×D47C2×D411yescharacteristic
551C2×C4×D47C2411yescharacteristic
552C2×C4×D47C2411yescharacteristic
553C2×Dic94—22no—
554C2×Dic94—21no—
555C2×Dic94—21no—
556C2×Dic94—21no—
557C2×Dic94—21no—
558C2×Dic94—21no—
559C2×Dic94—41no—
560C2×Dic94C2×D411yescharacteristic
561C2×Dic94C2411yescharacteristic
562C2×Dic94C2411yescharacteristic
563C2×Dic94C2411yescharacteristic
564Q16×C47—41no—
565SD16×C47—41no—
566SD16×C47—41no—
567D8×C47—41no—
568M16×C47—41no—
569C2×C8×C47—41no—
570C2×C8×C47C2411yescharacteristic
571C2×C8×C47C2411yescharacteristic
572C2×C8×C47C2411yescharacteristic
573C2×C8×C47C2411yescharacteristic
574C4⋊C4×C47—21no—
575C4⋊C4×C47—21no—
576C4⋊C4×C47—21no—
577C4⋊C4×C47—21no—
578C4⋊C4×C47—21no—
579C4⋊C4×C47—21no—
580C4⋊C4×C47C2×D411yescharacteristic
581C4⋊C4×C47C2×D411yescharacteristic
582C4⋊C4×C47C2411yescharacteristic
583C4⋊C4×C47C2411yescharacteristic
584C4⋊C4×C47C2411yescharacteristic
585C4⋊C4×C47C2411yescharacteristic
586C22⋊C4×C47—21no—
587C22⋊C4×C47—21no—
588C22⋊C4×C47—21no—
589C22⋊C4×C47—21no—
590C22⋊C4×C47—21no—
591C22⋊C4×C47—21no—
592C22⋊C4×C47—21no—
593C22⋊C4×C47—21no—
594C22⋊C4×C47—21no—
595C22⋊C4×C47—21no—
596C22⋊C4×C47C2×D411yescharacteristic
597C22⋊C4×C47C2×D411yescharacteristic
598C42×C47—21no—
599C42×C47—21no—
600C42×C47C2411yescharacteristic
601C42×C47C2411yescharacteristic
602C22⋊Dic47—21no—
603C22⋊Dic47—21no—
604C22⋊Dic47—21no—
605C22⋊Dic47—21no—
606C22⋊Dic47—21no—
607C22⋊Dic47—21no—
608C22⋊Dic47—21no—
609C22⋊Dic47C2×D411yescharacteristic
610C22⋊Dic47C2×D411yescharacteristic
611#10625337—22no—
612#10625337—41no—
613#10625337—41no—
614#10625336—41no—
615#10625336—41no—
616#10625336—41no—
617#10625335—22no—
618#10625335—41no—
619#10625335—41no—
620#10625334—41no—
621#10625334—41no—
622#10625334—41no—
623(C2×D47)⋊C4—21no—
624(C2×D47)⋊C4—21no—
625(C2×D47)⋊C4—21no—
626(C2×D47)⋊C4—21no—
627(C2×D47)⋊C4—21no—
628(C2×D47)⋊C4—21no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4—21no—
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊C4—21no—
636(C2×D47)⋊C4—21no—
637(C2×D47)⋊C4—21no—
638(C2×D47)⋊C4—21no—
639(C2×D47)⋊C4—21no—
640(C2×D47)⋊C4—21no—
641(C2×D47)⋊C4—21no—
642(C2×D47)⋊C4—21no—
643(C2×D47)⋊C4C2×D411yescharacteristic
644(C2×D47)⋊C4C2×D411yescharacteristic
645(C2×D47)⋊C4C2×D411yescharacteristic
646(C2×D47)⋊C4C2×D411yescharacteristic
647(C2×D47)⋊C4C2×D411yescharacteristic
648(C2×D47)⋊C4C2×D411yescharacteristic
649C4⋊Dic47—21no—
650C4⋊Dic47—21no—
651C4⋊Dic47—21no—
652C4⋊Dic47—21no—
653C4⋊Dic47C2×D411yescharacteristic
654C4⋊Dic47C2×D411yescharacteristic
655C4⋊Dic47C2411yescharacteristic
656C4⋊Dic47C2411yescharacteristic
657Dic47⋊C4—21no—
658Dic47⋊C4—21no—
659Dic47⋊C4—21no—
660Dic47⋊C4—21no—
661Dic47⋊C4—21no—
662Dic47⋊C4—21no—
663Dic47⋊C4—21no—
664Dic47⋊C4—21no—
665Dic47⋊C4—21no—
666Dic47⋊C4—21no—
667Dic47⋊C4—21no—
668Dic47⋊C4—21no—
669Dic47⋊C4C2×D411yescharacteristic
670Dic47⋊C4C2×D411yescharacteristic
671Dic47⋊C4C2×D411yescharacteristic
672Dic47⋊C4C2×D411yescharacteristic
673Dic47⋊C4C2×D411yescharacteristic
674Dic47⋊C4C2×D411yescharacteristic
675C4×Dic47—21no—
676C4×Dic47—21no—
677C4×Dic47—21no—
678C4×Dic47—21no—
679C4×Dic47—21no—
680C4×Dic47—21no—
681C4×Dic47—21no—
682C4×Dic47—21no—
683C4×Dic47—21no—
684C4×Dic47—21no—
685C4×Dic47—21no—
686C4×Dic47C2×D411yescharacteristic
687C4×Dic47C2×D411yescharacteristic
688C4×Dic47C2411yescharacteristic
689C4×Dic47C2411yescharacteristic
690C2×C47⋊C8C2411yescharacteristic
691C2×C47⋊C8C2411yescharacteristic
692C2×C47⋊C8C2411yescharacteristic
693C2×C47⋊C8C2411yescharacteristic
694Dic188—22no—
695Dic188—41no—
696#10625325—22no—
697#10625325—22no—
698#10625325—22no—
699#10625325—41no—
700#10625325—41no—
701#10625325—41no—
702#10625324—41no—
703#10625324—41no—
704#10625324—41no—
705C8×D47—41no—
706C23×C47—21no—
707C23×C47—21no—
708C23×C47C22×D411yescharacteristic
709C22×D47—21no—
710C22×D47—21no—
711C22×D47—21no—
712C22×D47—42no—
713C22×D47—81no—
714C22×D47—81no—
715C22×D47—81no—
716C22×D47—81no—
717C22×D47—81no—
718C22×D47—81no—
719C22×D47—81no—
720C22×D47—81no—
721C22×D47C22×D411yescharacteristic
722C22×D47C22×D411yescharacteristic
723Q8×C47—21no—
724Q8×C47—21no—
725Q8×C47—21no—
726Q8×C47—21no—
727Q8×C47—81no—
728Q8×C47—81no—
729D4×C47—21no—
730D4×C47—21no—
731D4×C47—21no—
732D4×C47—21no—
733D4×C47—81no—
734D4×C47—81no—
735C2×C4×C47—21no—
736C2×C4×C47—21no—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—21no—
743C2×C4×C47—81no—
744C2×C4×C47—81no—
745C2×C4×C47C22×D411yescharacteristic
746C2×C4×C47C22×D411yescharacteristic
747C2×C4×C47C22×D411yescharacteristic
748C2×C4×C47C22×D411yescharacteristic
749C2×C4×C47C22×D411yescharacteristic
750C2×C4×C47C2511yescharacteristic
751C22⋊D47—41no—
752C22⋊D47—41no—
753C22⋊D47—42no—
754C22⋊D47—81no—
755C22⋊D47—81no—
756C22⋊D47—81no—
757C22⋊D47—81no—
758C22⋊D47—81no—
759C22⋊D47—81no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—42no—
766C2×Dic47—42no—
767C2×Dic47—42no—
768C2×Dic47C22×D411yescharacteristic
769C2×Dic47C22×D411yescharacteristic
770C2×Dic47C22×D411yescharacteristic
771C2×Dic47C22×D411yescharacteristic
772C2×Dic47C22×D411yescharacteristic
773C2×Dic47C22×D411yescharacteristic
774D188—21no—
775D188—21no—
776D188—21no—
777D188—21no—
778D188—21no—
779D188—21no—
780D188—41no—
781D188—42no—
782D188—42no—
783D188—81no—
784D188—81no—
785D188—81no—
786D188—81no—
787D188—81no—
788D188—81no—
789D188—81no—
790C4×D47—21no—
791C4×D47—21no—
792C4×D47—21no—
793C4×D47—21no—
794C4×D47—41no—
795C4×D47—41no—
796C4×D47—42no—
797C4×D47—81no—
798C4×D47—81no—
799C4×D47—81no—
800C4×D47—81no—
801C4×D47—81no—
802C4×D47—81no—
803Dic94—21no—
804Dic94—21no—
805Dic94—21no—
806Dic94—21no—
807Dic94—21no—
808Dic94—41no—
809Dic94—42no—
810Dic94—42no—
811Dic94—81no—
812Dic94—81no—
813Dic94—81no—
814Dic94H(5,𝔽2)12yes—
815C8×C47—21no—
816C8×C47—21no—
817C8×C47—21no—
818C8×C47—21no—
819C47⋊C8—21no—
820C47⋊C8—21no—
821C47⋊C8—21no—
822C47⋊C8—21no—
823#62092—471nomaximal, Sylow
824C22×C47—21no—
825C22×C47—21no—
826C22×C47—21no—
827C22×C47—41no—
828C22×C47—41no—
829C22×C47—41no—
830C22×C47—41no—
831C22×C47—41no—
832C22×C47—41no—
833C22×C47C23×D411yescharacteristic
834C2×D47—21no—
835C2×D47—21no—
836C2×D47—21no—
837C2×D47—21no—
838C2×D47—21no—
839C2×D47—21no—
840C2×D47—41no—
841C2×D47—41no—
842C2×D47—41no—
843C2×D47—41no—
844C2×D47—41no—
845C2×D47—41no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—41no—
849C2×D47—162no—
850C2×D47—162no—
851C2×D47—162no—
852C4×C47—21no—
853C4×C47—21no—
854C4×C47—21no—
855C4×C47—21no—
856C4×C47—21no—
857C4×C47—41no—
858C4×C47—41no—
859C4×C47—41no—
860C4×C47—41no—
861C4×C47—41no—
862C4×C47—41no—
863C4×C47C2×H(5,𝔽2)11yescharacteristic
864C4×C47#58511yescharacteristic
865Dic47—21no—
866Dic47—21no—
867Dic47—21no—
868Dic47—21no—
869Dic47—22no—
870Dic47—21no—
871Dic47—21no—
872Dic47—41no—
873Dic47—41no—
874Dic47—41no—
875Dic47—41no—
876#3558—471no—
877#3518—471no—
878#3401—471no—
879#3401—471no—
880#3375—471no—
881#3375—471no—
882#3324—471no—
883#3324—471no—
884#3319—471no—
885#3319—471no—
886#3313—471no—
887#3313—471no—
888#3277—471no—
889#3277—471no—
890#3266—471no—
891#3266—471no—
892#3265—471no—
893#3265—471no—
894#3262—471no—
895#3262D4711yescharacteristic, complemented
896#3254—471no—
897#3224—471no—
898#3224—471no—
899#3215—471no—
900#3121—471no—
901#3121—471no—
902#3115—471no—
903#3043—471no—
904#3043—471no—
905#3040—471no—
906#2995—471no—
907C2×C47—41no—
908C2×C47—81no—
909C2×C47—81no—
910C2×C47#348811yescharacteristic
911C2×C47#358511yescharacteristic
912C2×C47#358611yescharacteristic
913D47—41no—
914D47—41no—
915D47—81no—
916D47—81no—
917D47—81no—
918C2×#137—471no—
919C2×#137—471no—
920C2×#137—471no—
921C2×AGL(1,ℤ/8)—471no—
922C22×SD16—471no—
923C22×SD16—471no—
924#562—941no—
925H(3,𝔽4)—941no—
926#559—471no—
927#559—471no—
928Q82—471no—
929#556—471no—
930#556—471no—
931#556—471no—
932#556—941no—
933#556—941no—
934#556—941no—
935#555—471no—
936#555—941no—
937D4×Q8—471no—
938#548—471no—
939#548—471no—
940#548—471no—
941#548—471no—
942#546—471no—
943#546—471no—
944#546—941no—
945#546—941no—
946D42—471no—
947D42—471no—
948#542—471no—
949#542—471no—
950#542—941no—
951#542—941no—
952#542C2×D4711yescharacteristic
953#542C2×D4711yescharacteristic, complemented
954#538—941no—
955#538—941no—
956#538—941no—
957#535—471no—
958#535—471no—
959#534—941no—
960#533—471no—
961#533—941no—
962#532—471no—
963#529—471no—
964#529—941no—
965C2×#124—471no—
966#519—471no—
967#519—471no—
968C4×#41—471no—
969#497—471no—
970#497—471no—
971#496—471no—
972#496—471no—
973#495—471no—
974#495—471no—
975#489—471no—
976#489—471no—
977#489—471no—
978#489—471no—
979#486—471no—
980#486—471no—
981#485—471no—
982#485—471no—
983#482—471no—
984#482—471no—
985#482—471no—
986#482—471no—
987#477—471no—
988#477—471no—
989#477C2×D4711yescharacteristic, complemented
990#477C2×D4711yescharacteristic, complemented
991#475—471no—
992#474—471no—
993#474—471no—
994#474—471no—
995#474C2×D4711yescharacteristic, complemented
996#474C2×D4711yescharacteristic, complemented
997#468—471no—
998#468—471no—
999#468—471no—
1000#468—471no—
1001#468—471no—
1002#468—471no—
1003#468C2×D4711yescharacteristic
1004#468C2×D4711yescharacteristic, complemented
1005#467—471no—
1006#467C2×D4711yescharacteristic, complemented
1007#466—471no—
1008#466C2×D4711yescharacteristic
1009#464—471no—
1010#464—471no—
1011#464—471no—
1012#464—471no—
1013#464—471no—
1014#464—471no—
1015#464—471no—
1016#464—471no—
1017#464—471no—
1018#464—471no—
1019#464—471no—
1020#464—471no—
1021#464C2×D4711yescharacteristic, complemented
1022#464C2×D4711yescharacteristic, complemented
1023#463—471no—
1024#463—471no—
1025#463—471no—
1026#463—471no—
1027#463C2×D4711yescharacteristic, complemented
1028#463C2×D4711yescharacteristic, complemented
1029#461—471no—
1030#461—471no—
1031#460—471no—
1032#460—471no—
1033#460—471no—
1034#460—471no—
1035#460—471no—
1036#460—471no—
1037#460—471no—
1038#459—471no—
1039#452—471no—
1040#452—471no—
1041#451—471no—
1042#451—471no—
1043#451—471no—
1044#451—471no—
1045#450—471no—
1046#450—471no—
1047#450—471no—
1048#450—471no—
1049#449—471no—
1050#449—471no—
1051#449—471no—
1052#449—471no—
1053#448—471no—
1054#448—471no—
1055#447—471no—
1056#447—471no—
1057#446—471no—
1058#446—471no—
1059#442—471no—
1060#442—471no—
1061#441—471no—
1062#441—471no—
1063#440—471no—
1064#440—471no—
1065#440—471no—
1066#440—471no—
1067C4×Q16—471no—
1068C4×Q16—471no—
1069C4×SD16—471no—
1070C4×SD16—471no—
1071#436—471no—
1072#436—471no—
1073#435—471no—
1074#435—471no—
1075#435—471no—
1076#435—471no—
1077#433—471no—
1078#433—471no—
1079#432—471no—
1080#424—471no—
1081#424C2×D4711yescharacteristic, complemented
1082#423—471no—
1083#419—471no—
1084#418—471no—
1085#418—471no—
1086#418—471no—
1087#416—471no—
1088#416—471no—
1089C47#6209211yescharacteristic, complemented, Sylow
1090C2×#41—471no—
1091C2×#41—471no—
1092C2×#41—471no—
1093C2×#41—941no—
1094C22×Q8—471no—
1095C22×Q8—471no—
1096C22×Q8—471no—
1097C22×D4—471no—
1098C22×D4—471no—
1099C22×D4—471no—
1100C22×D4—941no—
1101C22×D4—941no—
1102#137—1882no—
1103#137—1882no—
1104#137—1882no—
1105AGL(1,ℤ/8)—1882no—
1106C2×Q16—471no—
1107C2×Q16—471no—
1108C2×Q16—471no—
1109C2×Q16—471no—
1110C2×Q16—471no—
1111C2×Q16C22×D4711yescharacteristic
1112C2×SD16—471no—
1113C2×SD16—471no—
1114C2×SD16—471no—
1115C2×SD16—471no—
1116C2×SD16—471no—
1117C2×SD16—471no—
1118C2×SD16—471no—
1119C2×SD16—471no—
1120C2×SD16—471no—
1121C2×SD16—471no—
1122C2×SD16—471no—
1123C2×SD16—471no—
1124C2×SD16—1882no—
1125C2×SD16—1882no—
1126C2×SD16C22×D4711yescharacteristic
1127C2×SD16C22×D4711yescharacteristic
1128C2×D8—471no—
1129C2×D8—471no—
1130C2×D8—471no—
1131C2×D8C22×D4711yescharacteristic
1132C2×M16—471no—
1133C2×M16—471no—
1134C2×M16—471no—
1135C2×M16C22×D4711yescharacteristic
1136C22×C8—471no—
1137C22×C8C22×D4711yescharacteristic
1138C4⋊Q8—471no—
1139C4⋊Q8—471no—
1140C4⋊Q8—471no—
1141C4⋊Q8—941no—
1142C4⋊Q8—941no—
1143C4⋊Q8—941no—
1144C4⋊Q8—941no—
1145C4⋊Q8C22×D4711yescharacteristic
1146C4⋊Q8C22×D4711yescharacteristic
1147#127—471no—
1148#127—471no—
1149#127—471no—
1150#126—21no—
1151#126—21no—
1152#126—471no—
1153#126—471no—
1154#126—941no—
1155#126—941no—
1156#126—941no—
1157#126—941no—
1158#126—941no—
1159#126—941no—
1160#126—941no—
1161#126—941no—
1162#125—471no—
1163#125—941no—
1164#124—21no—
1165#124—21no—
1166#124—471no—
1167#124—471no—
1168#124—471no—
1169#124—471no—
1170#124—471no—
1171#124—471no—
1172#124—471no—
1173#124—941no—
1174#124—941no—
1175#124—941no—
1176#124—941no—
1177#124—941no—
1178#124—941no—
1179#124—941no—
1180#124—941no—
1181#124—941no—
1182#124—941no—
1183#124—941no—
1184#124—941no—
1185#124—941no—
1186#124—941no—
1187#124—941no—
1188#124C22×D4711yescharacteristic
1189#124C22×D4711yescharacteristic
1190#123—21no—
1191#123—21no—
1192#123—471no—
1193#123—471no—
1194#123—941no—
1195#123—941no—
1196#123—941no—
1197#123—941no—
1198#123—941no—
1199#123—941no—
1200#123—941no—
1201#123—941no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—471no—
1205C22⋊Q8—471no—
1206C22⋊Q8—471no—
1207C22⋊Q8—471no—
1208C22⋊Q8—471no—
1209C22⋊Q8—941no—
1210C22⋊Q8—941no—
1211C22⋊Q8—941no—
1212C22⋊Q8—941no—
1213C22⋊Q8—941no—
1214C22⋊Q8—941no—
1215C22⋊Q8—941no—
1216C22⋊Q8—941no—
1217C22⋊Q8—941no—
1218C22⋊Q8—941no—
1219C22⋊Q8C22×D4711yescharacteristic
1220C22⋊Q8C22×D4711yescharacteristic
1221#121—471no—
1222#121—471no—
1223#121—471no—
1224#121—471no—
1225#121—471no—
1226#121—941no—
1227#121—941no—
1228#121—941no—
1229#121—941no—
1230#121—941no—
1231#121—941no—
1232#121—941no—
1233#121—941no—
1234#121—941no—
1235#121—941no—
1236#121—941no—
1237#121—941no—
1238#121—941no—
1239#121—941no—
1240#121C22×D4711yescharacteristic
1241#121C22×D4711yescharacteristic
1242#120—941no—
1243#120—941no—
1244#120—941no—
1245#120—941no—
1246#120—941no—
1247#120—941no—
1248#120—941no—
1249#120—941no—
1250#120—941no—
1251#120—941no—
1252C4×Q8—471no—
1253C4×Q8—471no—
1254C4×Q8—471no—
1255C4×Q8—471no—
1256C4×Q8—471no—
1257C4×Q8—471no—
1258C4×Q8—471no—
1259C4×Q8—471no—
1260C4×Q8—471no—
1261C4×Q8—941no—
1262C4×Q8—941no—
1263C4×Q8—941no—
1264C4×Q8—941no—
1265C4×Q8—941no—
1266C4×Q8—941no—
1267C4×Q8—941no—
1268C4×Q8—941no—
1269C4×Q8C22×D4711yescharacteristic
1270C4×Q8C22×D4711yescharacteristic
1271C4×D4—471no—
1272C4×D4—471no—
1273C4×D4—471no—
1274C4×D4—471no—
1275C4×D4—471no—
1276C4×D4—471no—
1277C4×D4—471no—
1278C4×D4—941no—
1279C4×D4—941no—
1280C4×D4—941no—
1281C4×D4—941no—
1282C4×D4—941no—
1283C4×D4—941no—
1284C4×D4—941no—
1285C4×D4—941no—
1286C4×D4—941no—
1287C4×D4—941no—
1288C4×D4C22×D4711yescharacteristic
1289C4×D4C22×D4711yescharacteristic
1290#117—471no—
1291#117—471no—
1292#117—471no—
1293#117—471no—
1294#117—941no—
1295#117—941no—
1296#117—941no—
1297#117—941no—
1298#117—941no—
1299#117—941no—
1300#117—941no—
1301#117—941no—
1302#117C22×D4711yescharacteristic
1303C2×C22⋊C4—941no—
1304C2×C22⋊C4—941no—
1305C2×C22⋊C4—941no—
1306C2×C22⋊C4—941no—
1307C2×C42—471no—
1308C2×C42—941no—
1309#107—471no—
1310#107—471no—
1311#107C22×D4711yescharacteristic
1312#107C22×D4711yescharacteristic
1313#107C22×D4711yescharacteristic
1314#107C22×D4711yescharacteristic
1315#106—471no—
1316#106—471no—
1317C4⋊C8—471no—
1318C4⋊C8—471no—
1319C4⋊C8—471no—
1320C4⋊C8—471no—
1321C4⋊C8—471no—
1322C4⋊C8—471no—
1323C4⋊C8C22×D4711yescharacteristic
1324C4⋊C8C22×D4711yescharacteristic
1325C4⋊C8C22×D4711yescharacteristic
1326C4⋊C8C22×D4711yescharacteristic
1327#103—471no—
1328#103—471no—
1329#103—471no—
1330#103—471no—
1331#103—471no—
1332#103—471no—
1333#103—471no—
1334#103—471no—
1335#103—471no—
1336#103—471no—
1337#103C22×D4711yescharacteristic
1338#103C22×D4711yescharacteristic
1339#103C22×D4711yescharacteristic
1340#103C22×D4711yescharacteristic
1341#102—471no—
1342#102—471no—
1343#102—471no—
1344#102—471no—
1345#102—471no—
1346#102—471no—
1347#102—471no—
1348#102—471no—
1349#102—471no—
1350#102—471no—
1351#102—471no—
1352#102—471no—
1353#102—471no—
1354#102—471no—
1355#102C22×D4711yescharacteristic
1356#102C22×D4711yescharacteristic
1357#102C22×D4711yescharacteristic
1358#102C22×D4711yescharacteristic
1359C22⋊C8—471no—
1360C22⋊C8—471no—
1361C22⋊C8—471no—
1362C22⋊C8—471no—
1363C22⋊C8—471no—
1364C22⋊C8—471no—
1365#97—471no—
1366#97—471no—
1367#97—471no—
1368#97—471no—
1369C4×C8—471no—
1370C4×C8—471no—
1371C24—941no—
1372C24—941no—
1373C24—941no—
1374#41—942no—
1375#41—3762no—
1376#41—1881no—
1377#41—1881no—
1378#41—1881no—
1379#41—1881no—
1380#41—1881no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—471no—
1384C2×Q8—471no—
1385C2×Q8—471no—
1386C2×Q8—471no—
1387C2×Q8—941no—
1388C2×Q8—941no—
1389C2×Q8—941no—
1390C2×Q8—941no—
1391C2×Q8—942no—
1392C2×Q8—941no—
1393C2×Q8—942no—
1394C2×Q8—1881no—
1395C2×Q8—1881no—
1396C2×Q8—1881no—
1397C2×Q8—1881no—
1398C2×Q8C23×D4711yescharacteristic
1399C2×Q8C23×D4711yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—471no—
1403C2×D4—471no—
1404C2×D4—471no—
1405C2×D4—471no—
1406C2×D4—471no—
1407C2×D4—471no—
1408C2×D4—941no—
1409C2×D4—941no—
1410C2×D4—941no—
1411C2×D4—941no—
1412C2×D4—941no—
1413C2×D4—941no—
1414C2×D4—941no—
1415C2×D4—941no—
1416C2×D4—941no—
1417C2×D4—941no—
1418C2×D4—941no—
1419C2×D4—941no—
1420C2×D4—941no—
1421C2×D4—941no—
1422C2×D4—941no—
1423C2×D4—941no—
1424C2×D4—3762no—
1425C2×D4—3762no—
1426C2×D4—1881no—
1427C2×D4—1881no—
1428C2×D4—1881no—
1429C2×D4—1881no—
1430C2×D4—1881no—
1431C2×D4—1881no—
1432C2×D4C23×D4711yescharacteristic
1433C2×D4C23×D4711yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—471no—
1437C22×C4—471no—
1438C22×C4—471no—
1439C22×C4—471no—
1440C22×C4—941no—
1441C22×C4—941no—
1442C22×C4—941no—
1443C22×C4—941no—
1444C22×C4—941no—
1445C22×C4—941no—
1446C22×C4—941no—
1447C22×C4—941no—
1448C22×C4—941no—
1449C22×C4—941no—
1450C22×C4C23×D4711yescharacteristic
1451Q16—41no—
1452Q16—942no—
1453Q16—942no—
1454Q16—1881no—
1455Q16—1881no—
1456Q16—1881no—
1457SD16—41no—
1458SD16—41no—
1459SD16—942no—
1460SD16—942no—
1461SD16—942no—
1462SD16—942no—
1463SD16—1881no—
1464SD16—1881no—
1465SD16—1881no—
1466SD16—1881no—
1467SD16—1881no—
1468SD16—1881no—
1469SD16—1881no—
1470SD16—1881no—
1471D8—41no—
1472D8—1881no—
1473D8—1881no—
1474D8—1881no—
1475M16—41no—
1476M16—1881no—
1477M16—1881no—
1478M16—1881no—
1479C2×C8—41no—
1480C2×C8—471no—
1481C2×C8—471no—
1482C2×C8—471no—
1483C2×C8—471no—
1484C2×C8—1881no—
1485C2×C8C23×D4711yescharacteristic
1486C2×C8C23×D4711yescharacteristic
1487C2×C8C23×D4711yescharacteristic
1488C2×C8C23×D4711yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—471no—
1496C4⋊C4—471no—
1497C4⋊C4—471no—
1498C4⋊C4—471no—
1499C4⋊C4—471no—
1500C4⋊C4—471no—
1501C4⋊C4—471no—
1502C4⋊C4—471no—
1503C4⋊C4—471no—
1504C4⋊C4—471no—
1505C4⋊C4—941no—
1506C4⋊C4—941no—
1507C4⋊C4—941no—
1508C4⋊C4—941no—
1509C4⋊C4—941no—
1510C4⋊C4—941no—
1511C4⋊C4—941no—
1512C4⋊C4—941no—
1513C4⋊C4—941no—
1514C4⋊C4—941no—
1515C4⋊C4—941no—
1516C4⋊C4—941no—
1517C4⋊C4—941no—
1518C4⋊C4—941no—
1519C4⋊C4—941no—
1520C4⋊C4—941no—
1521C4⋊C4D4×D4711yescharacteristic
1522C4⋊C4D4×D4711yescharacteristic
1523C4⋊C4C23×D4711yescharacteristic
1524C4⋊C4C23×D4711yescharacteristic
1525C4⋊C4C23×D4711yescharacteristic
1526C4⋊C4C23×D4711yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—471no—
1538C22⋊C4—471no—
1539C22⋊C4—471no—
1540C22⋊C4—471no—
1541C22⋊C4—471no—
1542C22⋊C4—471no—
1543C22⋊C4—471no—
1544C22⋊C4—471no—
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—941no—
1556C22⋊C4—941no—
1557C22⋊C4—941no—
1558C22⋊C4—941no—
1559C22⋊C4—941no—
1560C22⋊C4—941no—
1561C22⋊C4—941no—
1562C22⋊C4—941no—
1563C22⋊C4—941no—
1564C22⋊C4—941no—
1565C22⋊C4—941no—
1566C22⋊C4—941no—
1567C22⋊C4—941no—
1568C22⋊C4—941no—
1569C22⋊C4—941no—
1570C22⋊C4—941no—
1571C22⋊C4—941no—
1572C22⋊C4D4×D4711yescharacteristic
1573C22⋊C4D4×D4711yescharacteristic
1574C42—21no—
1575C42—21no—
1576C42—471no—
1577C42—471no—
1578C42—471no—
1579C42—471no—
1580C42—941no—
1581C42—941no—
1582C42—941no—
1583C42—941no—
1584C42—941no—
1585C42—941no—
1586C42—941no—
1587C42—941no—
1588C42—941no—
1589C42—941no—
1590C42—941no—
1591C42C23×D4711yescharacteristic
1592C42C23×D4711yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—471no—
1596C23—471no—
1597C23—941no—
1598C23—941no—
1599C23—941no—
1600C23—3761no—
1601C23—3761no—
1602C23—3761no—
1603C23—3761no—
1604C23—3761no—
1605C23—3761no—
1606C23—3761no—
1607C23—3761no—
1608C23—1882no—
1609C23C2×D4×D4711yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—81no—
1615Q8—81no—
1616Q8—472no—
1617Q8—941no—
1618Q8—941no—
1619Q8—941no—
1620Q8—941no—
1621Q8—941no—
1622Q8—3761no—
1623Q8—3761no—
1624Q8—3761no—
1625Q8—1881no—
1626Q8—1882no—
1627Q8—1882no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—81no—
1633D4—81no—
1634D4—941no—
1635D4—941no—
1636D4—941no—
1637D4—941no—
1638D4—941no—
1639D4—941no—
1640D4—3761no—
1641D4—3761no—
1642D4—3761no—
1643D4—3761no—
1644D4—3761no—
1645D4—3761no—
1646D4—3761no—
1647D4—3761no—
1648D4—3761no—
1649D4—3761no—
1650D4—3761no—
1651D4—3761no—
1652D4—3761no—
1653D4—1881no—
1654D4—1882no—
1655D4—1882no—
1656D4—1881no—
1657D4—1881no—
1658D4—1882no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—471no—
1670C2×C4—471no—
1671C2×C4—471no—
1672C2×C4—471no—
1673C2×C4—471no—
1674C2×C4—471no—
1675C2×C4—941no—
1676C2×C4—941no—
1677C2×C4—941no—
1678C2×C4—941no—
1679C2×C4—941no—
1680C2×C4—941no—
1681C2×C4—941no—
1682C2×C4—941no—
1683C2×C4—941no—
1684C2×C4—3761no—
1685C2×C4—3761no—
1686C2×C4—3761no—
1687C2×C4—3761no—
1688C2×C4—3761no—
1689C2×C4—3761no—
1690C2×C4—1881no—
1691C2×C4—1881no—
1692C2×C4—1882no—
1693C2×C4—1882no—
1694C2×C4—1882no—
1695C2×C4—1882no—
1696C2×C4C2×D4×D4711yescharacteristic
1697C2×C4C2×D4×D4711yescharacteristic
1698C2×C4C2×D4×D4711yescharacteristic
1699C2×C4C2×D4×D4711yescharacteristic
1700C2×C4C2×D4×D4711yescharacteristic
1701C2×C4C24×D4711yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—941no—
1707C8—941no—
1708C8—941no—
1709C8—941no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—941no—
1720C22—941no—
1721C22—941no—
1722C22—941no—
1723C22—941no—
1724C22—941no—
1725C22—1881no—
1726C22—1881no—
1727C22—1881no—
1728C22—1881no—
1729C22—1881no—
1730C22—1881no—
1731C22—1881no—
1732C22—1881no—
1733C22—1881no—
1734C22—7522no—
1735C22—7522no—
1736C22—7522no—
1737C22C22×D4×D4711yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—941no—
1750C4—941no—
1751C4—942no—
1752C4—941no—
1753C4—941no—
1754C4—941no—
1755C4—941no—
1756C4—1881no—
1757C4—1881no—
1758C4—1881no—
1759C4—1881no—
1760C4H(5,𝔽2)×D4711yescharacteristic
1761C4#1568996011yescharacteristic
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—3761no—
1766C2—3761no—
1767C2—3761no—
1768C2—1881no—
1769C2—1881no—
1770C2#2025705211yescharacteristic
1771C2#2025816311yescharacteristic
1772C2#2025817311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3262C2
socleC22×C47C23×D4
hypercenter#3262D47
hypocenterC47#62092
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #117 ◁ #3262

Complements

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

NH ≅ G/Ntype
1. #20257903C2semidirect
2. #20257401C2semidirect
3. #20256457C2semidirect
4. #20256452C2semidirect
5. #20256205C2semidirect
6. #20256201C2semidirect
7. #20255616C2semidirect
8. #20255614C2semidirect
9. #20255550C2semidirect
10. #20255539C2semidirect
11. #20255460C2semidirect
12. #20255451C2semidirect
13. #20255042C2semidirect
14. #20255040C2semidirect
15. #20254905C2semidirect
16. #20254895C2semidirect
17. #20254889C2semidirect
18. #20254880C2semidirect
19. #20254848C2semidirect
20. #20254774C2semidirect
21. #20254481C2semidirect
22. #20254476C2semidirect
23. #20254389C2semidirect
24. #20253622C2semidirect
25. #20253611C2semidirect
26. #20253541C2semidirect
27. #20252910C2semidirect
28. #20252907C2semidirect
29. #20252877C2semidirect
30. #20252556C2semidirect
31. C47×#3262C2semidirect
32. C2×#13094057C22semidirect
33. C2×#13094056C22semidirect
34. C2×#13094053C22semidirect
36. C22×#10625325C22semidirect
37. C2×SD16×D47C22semidirect
42. #15689853C22semidirect
43. #15689847C22semidirect
44. #15689844C22semidirect
46. #15689842C22semidirect
49. #15689837C22semidirect
51. #15689786C22semidirect
54. #15689781C22semidirect
55. #15689779C22semidirect
65. #15689738C22semidirect
72. #15689677C22semidirect
78. #15689600C22semidirect
79. #15689599C22semidirect
80. C4×#10625352C22semidirect
81. #15689516C22semidirect
82. #15689514C22semidirect
85. #15689505C22semidirect
86. #15689504C22semidirect
87. #15689485C22semidirect
88. #15689484C22semidirect
89. #15689484C22semidirect
90. #15689481C22semidirect
93. #15689466C22semidirect
94. #15689461C22semidirect
96. #15689450C22semidirect
97. #15689450C22semidirect
99. #15689417C22semidirect
100. #15689415C22semidirect
101. #15689405C22semidirect
102. #15689402C22semidirect
103. #15689402C22semidirect
104. #15689402C22semidirect
105. #15689372C22semidirect
106. #15689372C22semidirect
108. #15689370C22semidirect
109. #15689370C22semidirect
110. #15689368C22semidirect
111. #15689365C22semidirect
113. #15689348C22semidirect
114. #15689348C22semidirect
115. #15689347C22semidirect
116. #15689346C22semidirect
117. #15689346C22semidirect
118. #15689346C22semidirect
119. #15689346C22semidirect
120. #15689345C22semidirect
121. #15689344C22semidirect
122. #15689344C22semidirect
123. #15689342C22semidirect
124. #15689342C22semidirect
125. #15689340C22semidirect
126. #15689338C22semidirect
127. #15689337C22semidirect
128. #15689336C22semidirect
129. #15689327C22semidirect
130. #15689327C22semidirect
133. #15689324C22semidirect
134. #15689324C22semidirect
135. #15689323C22semidirect
138. #15689318C22semidirect
139. #15689288C22semidirect
140. #15689283C22semidirect
141. #15689280C22semidirect
142. #15689280C22semidirect
143. #15689278C22semidirect
144. #15689277C22semidirect
146. #15689275C22semidirect
147. #15689273C22semidirect
149. #15689269C22semidirect
150. #15689269C22semidirect
151. #15689267C22semidirect
152. #15689266C22semidirect
155. #15689256C22semidirect
156. #15689255C22semidirect
157. #15689252C22semidirect
158. #15689250C22semidirect
159. #15689232C22semidirect
160. #15689232C22semidirect
161. #15689228C22semidirect
162. #15689227C22semidirect
163. #15689223C22semidirect
164. #15689222C22semidirect
165. #15689222C22semidirect
166. #15689222C22semidirect
167. #15689217C22semidirect
168. C4×#10625337C22semidirect
169. C4×#10625335C22semidirect
170. #15689208C22semidirect
171. #15689200C22semidirect
172. #15689199C22semidirect
173. #15689194C22semidirect
174. #15689194C22semidirect
175. #15689193C22semidirect
176. #15689192C22semidirect
177. #15689184C22semidirect
178. #15689183C22semidirect
179. #15689179C22semidirect
180. #15689148C22semidirect
181. #15689145C22semidirect
182. #15689130C22semidirect
183. #15689129C22semidirect
185. #15689126C22semidirect
186. #15689120C22semidirect
187. #15689118C22semidirect
189. C47×#542C22semidirect
190. C47×#477C22semidirect
191. C47×#477C22semidirect
192. C47×#474C22semidirect
193. C47×#474C22semidirect
195. C47×#468C22semidirect
196. C47×#467C22semidirect
198. C47×#464C22semidirect
199. C47×#464C22semidirect
200. C47×#463C22semidirect
201. C47×#463C22semidirect
202. C47×#424C22semidirect
895. #3262D47semidirect
953. #542C2×D47semidirect
989. #477C2×D47semidirect
990. #477C2×D47semidirect
995. #474C2×D47semidirect
996. #474C2×D47semidirect
1004. #468C2×D47semidirect
1006. #467C2×D47semidirect
1021. #464C2×D47semidirect
1022. #464C2×D47semidirect
1027. #463C2×D47semidirect
1028. #463C2×D47semidirect
1081. #424C2×D47semidirect
1089. C47#62092semidirect

Maximal subgroups

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

subgroupindex
#202579032
#202574012
#202564572
#202564522
#202562052
#202562012
#202556162
#202556142
#202555502
#202555392
#202554602
#202554512
#202550422
#202550402
#202549052
#202548952
#202548892
#202548802
#202548482
#202547742
#202544812
#202544762
#202543892
#202536222
#202536112
#202535412
#202529102
#202529072
#202528772
#202525562
C47×#32622
#6209247