Finite Group Databasebeta

← #27111758

Subgroups — #27111758

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#20257399C211yesmaximal, characteristic, complemented
3#20256455C211yesmaximal, characteristic, complemented
4#20256450C211yesmaximal, characteristic, complemented
5#20256203C211yesmaximal, characteristic, complemented
6#20256200C211yesmaximal, characteristic, complemented
7#20255621C211yesmaximal, characteristic, complemented
8#20255617C211yesmaximal, characteristic, complemented
9#20255547C211yesmaximal, characteristic, complemented
10#20255542C211yesmaximal, characteristic, complemented
11#20255459C211yesmaximal, characteristic, complemented
12#20255452C211yesmaximal, characteristic, complemented
13#20255045C211yesmaximal, characteristic, complemented
14#20255044C211yesmaximal, characteristic, complemented
15#20254901C211yesmaximal, characteristic, complemented
16#20254891C211yesmaximal, characteristic, complemented
17#20254885C211yesmaximal, characteristic, complemented
18#20254876C211yesmaximal, characteristic, complemented
19#20254851C211yesmaximal, characteristic, complemented
20#20254844C211yesmaximal, characteristic, complemented
21#20254774C211yesmaximal, characteristic, complemented
22#20254489C211yesmaximal, characteristic, complemented
23#20254484C211yesmaximal, characteristic, complemented
24#20254389C211yesmaximal, characteristic, complemented
25#20253624C211yesmaximal, characteristic, complemented
26#20253542C211yesmaximal, characteristic, complemented
27#20252909C211yesmaximal, characteristic, complemented
28#20252907C211yesmaximal, characteristic, complemented
29#20252879C211yesmaximal, characteristic, complemented
30#20252553C211yesmaximal, characteristic, complemented
31C47×#3121C211yesmaximal, characteristic, complemented
32C2×#13094056C2211yescharacteristic, complemented
33C2×#13094056C2211yescharacteristic, complemented
34C2×#13094055C2211yescharacteristic, complemented
35C2×#13094051C2211yescharacteristic
36C22×#10625336C2211yescharacteristic, complemented
37C2×SD16×D47C2211yescharacteristic, complemented
38#15689869—21no—
39#15689865—21no—
40#15689858C2211yescharacteristic
41#15689856C2211yescharacteristic
42Q8×Dic94C2211yescharacteristic, complemented
43#15689846—21no—
44#15689846C2211yescharacteristic, complemented
45#15689845—21no—
46#15689845C2211yescharacteristic, complemented
47#15689841—21no—
48#15689841C2211yescharacteristic, complemented
49#15689836—21no—
50#15689836C2211yescharacteristic, complemented
51Q8×C22⋊D47C2211yescharacteristic, complemented
52#15689785C2211yescharacteristic
53#15689785C2211yescharacteristic, complemented
54#15689784C2211yescharacteristic, complemented
55#15689783C2211yescharacteristic
56#15689770C2211yescharacteristic
57#15689766—21no—
58#15689764—21no—
59#15689764C2211yescharacteristic
60D4×D188C2211yescharacteristic
61#15689757C2211yescharacteristic
62#15689747C2211yescharacteristic
63#15689745—21no—
64#15689745C2211yescharacteristic, complemented
65#15689744—21no—
66#15689744C2211yescharacteristic, complemented
67#15689712—21no—
68#15689712—21no—
69#15689709—21no—
70#15689692C2211yescharacteristic
71#15689691C2211yescharacteristic
72#15689684—21no—
73#15689677—21no—
74#15689677C2211yescharacteristic, complemented
75#15689674C2211yescharacteristic
76#15689651—21no—
77#15689651C2211yescharacteristic
78#124×D47C2211yescharacteristic
79#15689599C2211yescharacteristic, complemented
80C4×#10625354C2211yescharacteristic, complemented
81#15689516C2211yescharacteristic, complemented
82#15689514C2211yescharacteristic, complemented
83#15689512C2211yescharacteristic
84#15689509C2211yescharacteristic
85#15689508C2211yescharacteristic, complemented
86#15689507C2211yescharacteristic, complemented
87#15689484C2211yescharacteristic, complemented
88#15689484C2211yescharacteristic, complemented
89#15689483C2211yescharacteristic, complemented
90#15689481C2211yescharacteristic, complemented
91#15689470C2211yescharacteristic
92#15689468C2211yescharacteristic
93#15689467C2211yescharacteristic, complemented
94#15689449C2211yescharacteristic
95#15689449C2211yescharacteristic, complemented
96#15689449C2211yescharacteristic, complemented
97#15689418C2211yescharacteristic, complemented
98#15689417C2211yescharacteristic, complemented
99#15689415C2211yescharacteristic, complemented
100#15689403C2211yescharacteristic, complemented
101#15689402C2211yescharacteristic, complemented
102#15689402C2211yescharacteristic, complemented
103#15689402C2211yescharacteristic, complemented
104#15689400C2211yescharacteristic, complemented
105#15689372C2211yescharacteristic
106#15689372C2211yescharacteristic, complemented
107#15689372C2211yescharacteristic, complemented
108#15689371C2211yescharacteristic, complemented
109#15689370C2211yescharacteristic, complemented
110#15689370C2211yescharacteristic, complemented
111#15689370C2211yescharacteristic, complemented
112#15689367C2211yescharacteristic
113#15689363C2211yescharacteristic, complemented
114#15689362C2211yescharacteristic, complemented
115#15689360C2211yescharacteristic
116#15689357C2211yescharacteristic
117#15689348C2211yescharacteristic, complemented
118#15689348C2211yescharacteristic, complemented
119#15689347C2211yescharacteristic, complemented
120#15689347C2211yescharacteristic, complemented
121#15689346C2211yescharacteristic, complemented
122#15689345C2211yescharacteristic, complemented
123#15689345C2211yescharacteristic, complemented
124#15689345C2211yescharacteristic, complemented
125#15689345C2211yescharacteristic, complemented
126#15689345C2211yescharacteristic, complemented
127#15689343C2211yescharacteristic, complemented
128#15689342C2211yescharacteristic, complemented
129#15689341C2211yescharacteristic, complemented
130#15689341C2211yescharacteristic, complemented
131#15689339C2211yescharacteristic, complemented
132#15689338C2211yescharacteristic, complemented
133#15689337C2211yescharacteristic, complemented
134#15689335C2211yescharacteristic, complemented
135#15689327C2211yescharacteristic, complemented
136#15689327C2211yescharacteristic, complemented
137#15689324C2211yescharacteristic, complemented
138#15689323C2211yescharacteristic
139#15689323C2211yescharacteristic
140#15689323C2211yescharacteristic, complemented
141#15689323C2211yescharacteristic, complemented
142#15689322C2211yescharacteristic
143#15689321C2211yescharacteristic
144#15689319C2211yescharacteristic, complemented
145#15689287C2211yescharacteristic, complemented
146#15689284C2211yescharacteristic, complemented
147#15689280C2211yescharacteristic, complemented
148#15689280C2211yescharacteristic, complemented
149#15689277C2211yescharacteristic, complemented
150#15689276C2211yescharacteristic, complemented
151#15689275C2211yescharacteristic
152#15689272C2211yescharacteristic
153#15689272C2211yescharacteristic, complemented
154#15689271C2211yescharacteristic, complemented
155#15689271C2211yescharacteristic, complemented
156#15689271C2211yescharacteristic, complemented
157#15689270C2211yescharacteristic, complemented
158#15689263C2211yescharacteristic
159#15689259C2211yescharacteristic, complemented
160#15689258C2211yescharacteristic, complemented
161#15689253C2211yescharacteristic, complemented
162#15689251C2211yescharacteristic, complemented
163#15689234C2211yescharacteristic, complemented
164#15689234C2211yescharacteristic, complemented
165#15689229C2211yescharacteristic, complemented
166#15689226C2211yescharacteristic, complemented
167#15689226C2211yescharacteristic, complemented
168#15689226C2211yescharacteristic, complemented
169#15689215C2211yescharacteristic, complemented
170#15689210C2211yescharacteristic, complemented
171#15689202C2211yescharacteristic, complemented
172#15689198C2211yescharacteristic, complemented
173#15689197C2211yescharacteristic, complemented
174#15689196C2211yescharacteristic, complemented
175#15689191C2211yescharacteristic, complemented
176#15689191C2211yescharacteristic, complemented
177#15689183C2211yescharacteristic, complemented
178#15689179C2211yescharacteristic, complemented
179#15689150C2211yescharacteristic, complemented
180#15689148C2211yescharacteristic, complemented
181#15689145C2211yescharacteristic, complemented
182#15689130C2211yescharacteristic, complemented
183#15689127C2211yescharacteristic, complemented
184#15689126C2211yescharacteristic
185#15689126C2211yescharacteristic, complemented
186#15689118C2211yescharacteristic, complemented
187#15689117C2211yescharacteristic, complemented
188C47×#542C2211yescharacteristic
189C47×#519C2211yescharacteristic, complemented
190C47×#485C2211yescharacteristic, complemented
191C47×#482C2211yescharacteristic
192C47×#477C2211yescharacteristic, complemented
193C47×#475C2211yescharacteristic, complemented
194C47×#464C2211yescharacteristic, complemented
195C47×#464C2211yescharacteristic, complemented
196C47×#451C2211yescharacteristic, complemented
197C47×#448C2211yescharacteristic
198C47×#441C2211yescharacteristic, complemented
199C47×#440C2211yescharacteristic, complemented
200C4×Q16×C47C2211yescharacteristic, complemented
201C4×SD16×C47C2211yescharacteristic, complemented
202C47×#433C2211yescharacteristic, complemented
203C2×#10625354—21no—
204C2×#10625354C2311yescharacteristic
205C2×#10625354C2311yescharacteristic
206C2×#10625350C2311yescharacteristic
207C2×Q8×D47C2311yescharacteristic
208C2×Q8×D47C2311yescharacteristic
209C22×D188—21no—
210C22×D188C2311yescharacteristic
211C2×D4×D47—21no—
212C2×D4×D47C2311yescharacteristic
213C2×D4×D47C2311yescharacteristic
214#13094056—42no—
215#13094056—42no—
216#13094055—42no—
217#13094051—42no—
218C2×Dic188C2311yescharacteristic
219C2×#10625337C2311yescharacteristic
220C2×#10625337C2311yescharacteristic
221C2×#10625337C2311yescharacteristic
222C2×#10625325C2311yescharacteristic
223C2×#10625325C2311yescharacteristic
224C2×#10625325C2311yescharacteristic
225C2×#10625325C2311yescharacteristic
226C2×#10625335C2311yescharacteristic
227C2×#10625336—42no—
228C2×#10625336C2311yescharacteristic
229C2×#10625336C2311yescharacteristic
230C2×#10625336C2311yescharacteristic
231C2×#10625336C2311yescharacteristic
232C2×#10625336C2311yescharacteristic
233C2×#10625336C2311yescharacteristic
234C2×#10625336C2311yescharacteristic
235SD16×D47—42no—
236C2×D376C2311yescharacteristic
237C2×D376C2311yescharacteristic
238C2×D376C2311yescharacteristic
239C2×#10625334C2311yescharacteristic
240C2×#10625329C2311yescharacteristic
241C2×#10625324C2311yescharacteristic
242C2×#10625324C2311yescharacteristic
243C2×#10625324C2311yescharacteristic
244C22×C47⋊C8C2311yescharacteristic
245C2×C8×D47C2311yescharacteristic
246#13094024—21no—
247#13094024C2311yescharacteristic
248#13094023—21no—
249#13094023—21no—
250#13094023C2311yescharacteristic
251#13094023C2311yescharacteristic
252#13094022—21no—
253#13094022C2311yescharacteristic
254#13094021C2311yescharacteristic
255#13094021C2311yescharacteristic
256#13094020C2311yescharacteristic
257#13094019—21no—
258#13094019—21no—
259#13094019—21no—
260#13094019—21no—
261#13094019—21no—
262#13094019D411yescharacteristic
263#13094018—21no—
264#13094018—21no—
265#13094018—21no—
266#13094017—21no—
267#13094017D411yescharacteristic
268#13094014—21no—
269#13094014D411yescharacteristic
270#13094013—21no—
271#13094013—21no—
272#13094013—21no—
273#13094013C2311yescharacteristic
274#13094013C2311yescharacteristic
275#13094013C2311yescharacteristic
276#13094012—21no—
277#13094012—21no—
278#13094012—21no—
279#13094012—21no—
280#13094012—21no—
281#13094012—21no—
282#13094012C2311yescharacteristic
283#13094012C2311yescharacteristic
284#13094012C2311yescharacteristic
285#13094011C2311yescharacteristic
286#13094010—21no—
287#13094010—21no—
288#13094010—21no—
289#13094010—21no—
290#13094010—21no—
291#13094010—21no—
292#13094010—21no—
293#13094010D411yescharacteristic
294#13094009—21no—
295#13094009—21no—
296#13094009—21no—
297#13094009—21no—
298#13094009—21no—
299#13094009D411yescharacteristic
300#13094007—21no—
301#13094006—21no—
302#13094006—21no—
303#13094006—21no—
304#13094006D411yescharacteristic
305#13094004—21no—
306#13094004—21no—
307#13094004C2311yescharacteristic
308#13094004C2311yescharacteristic
309#13094003—21no—
310#13094003C2311yescharacteristic
311#13094002—21no—
312#13094002—21no—
313#13094002—21no—
314#13094002—21no—
315#13094002—21no—
316#13094002D411yescharacteristic
317#13094000—21no—
318#13094000—21no—
319#13094000—21no—
320#13094000C2311yescharacteristic
321#13094000C2311yescharacteristic
322#13093999—21no—
323#13093999—21no—
324#13093999—21no—
325#13093999—21no—
326#13093999—21no—
327#13093999—21no—
328#13093999C2311yescharacteristic
329#13093999C2311yescharacteristic
330#13093999C2311yescharacteristic
331#13093999C2311yescharacteristic
332#13093998—21no—
333#13093998—21no—
334#13093998C2311yescharacteristic
335#13093997—21no—
336#13093997—21no—
337#13093997—21no—
338#13093997—21no—
339#13093997—21no—
340#13093997D411yescharacteristic
341#13093995—21no—
342#13093994—21no—
343#13093994—21no—
344#13093994—21no—
345#13093994—21no—
346#13093994—21no—
347#13093994—21no—
348#13093994—21no—
349#13093994—21no—
350#13093992—21no—
351#13093992—21no—
352Q8×Dic47C2311yescharacteristic
353Q8×Dic47C2311yescharacteristic
354C4×Dic94—21no—
355C4×Dic94—21no—
356C4×Dic94—21no—
357C4×Dic94—21no—
358C4×Dic94—21no—
359C4×Dic94C2311yescharacteristic
360C4×Dic94C2311yescharacteristic
361#13093989—21no—
362#13093989C2311yescharacteristic
363#13093989C2311yescharacteristic
364C4×D188—21no—
365C4×D188—21no—
366C4×D188—21no—
367C4×D188—21no—
368C4×D188C2311yescharacteristic
369C4×D188C2311yescharacteristic
370#13093986—21no—
371#13093986—21no—
372#13093986—21no—
373#13093986C2311yescharacteristic
374#13093986C2311yescharacteristic
375#13093986C2311yescharacteristic
376#13093986C2311yescharacteristic
377C4×C22⋊D47—21no—
378C4×C22⋊D47—21no—
379C4×C22⋊D47—21no—
380C4×C22⋊D47C2311yescharacteristic
381C4×C22⋊D47C2311yescharacteristic
382#13093982—21no—
383#13093982—21no—
384#13093982C2311yescharacteristic
385#13093982C2311yescharacteristic
386#13093981—21no—
387#13093981—21no—
388#13093981—21no—
389#13093981—21no—
390#13093981C2311yescharacteristic
391C22⋊C4×D47—21no—
392C22⋊C4×D47—21no—
393C22⋊C4×D47—21no—
394C22⋊C4×D47—21no—
395C42×D47—21no—
396C42×D47C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093957C2311yescharacteristic
400#13093957C2311yescharacteristic
401C4⋊(C47⋊C8)C2311yescharacteristic
402C4⋊(C47⋊C8)C2311yescharacteristic
403C4⋊(C47⋊C8)C2311yescharacteristic
404C4⋊(C47⋊C8)C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406Dic47⋊C8C2311yescharacteristic
407Dic47⋊C8C2311yescharacteristic
408Dic47⋊C8C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093947C2311yescharacteristic
414#13093947C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093944C2311yescharacteristic
426#13093944C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
433(C2×D47)⋊C8C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437#13093934C2311yescharacteristic
438#13093934C2311yescharacteristic
439#13093934C2311yescharacteristic
440C8×Dic47C2311yescharacteristic
441C22×Q8×C47C2311yescharacteristic
442C2×Q16×C47C2311yescharacteristic
443C2×Q16×C47C2311yescharacteristic
444C2×SD16×C47C2311yescharacteristic
445C2×SD16×C47C2311yescharacteristic
446C4⋊Q8×C47C2311yescharacteristic
447#126×C47—21no—
448#124×C47—21no—
449#124×C47C2311yescharacteristic
450#123×C47—21no—
451C22⋊Q8×C47—21no—
452C22⋊Q8×C47C2311yescharacteristic
453#121×C47C2311yescharacteristic
454C4×Q8×C47—21no—
455C4×Q8×C47—21no—
456C4×Q8×C47C2311yescharacteristic
457C4×Q8×C47C2311yescharacteristic
458C4×Q8×C47C2311yescharacteristic
459C4×Q8×C47C2311yescharacteristic
460C4×Q8×C47C2311yescharacteristic
461C4×D4×C47C2311yescharacteristic
462#117×C47—21no—
463#117×C47—21no—
464#117×C47C2311yescharacteristic
465#117×C47C2311yescharacteristic
466#107×C47C2311yescharacteristic
467#107×C47C2311yescharacteristic
468#106×C47C2311yescharacteristic
469#106×C47C2311yescharacteristic
470C4⋊C8×C47C2311yescharacteristic
471C4⋊C8×C47C2311yescharacteristic
472#103×C47C2311yescharacteristic
473#103×C47C2311yescharacteristic
474#103×C47C2311yescharacteristic
475#103×C47C2311yescharacteristic
476#103×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480C22⋊C8×C47C2311yescharacteristic
481C22⋊C8×C47C2311yescharacteristic
482#97×C47C2311yescharacteristic
483C4×C8×C47C2311yescharacteristic
484C23×D47—21no—
485C23×D47—21no—
486C23×D47—21no—
487C2×Q8×C47—21no—
488C2×Q8×C47—21no—
489C2×Q8×C47—22no—
490C2×Q8×C47—41no—
491C2×Q8×C47C2411yescharacteristic
492C2×Q8×C47C2411yescharacteristic
493C2×Q8×C47C2411yescharacteristic
494C2×D4×C47—21no—
495C2×D4×C47C2411yescharacteristic
496C22×C4×C47—21no—
497C22×C4×C47—21no—
498C22×C4×C47C2411yescharacteristic
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
507#10625354—22no—
508#10625354—41no—
509#10625354—41no—
510#10625354—41no—
511#10625354—82no—
512Q8×D47—22no—
513Q8×D47—41no—
514Q8×D47—41no—
515Q8×D47—41no—
516D4×D47—41no—
517D4×D47—41no—
518D4×D47—41no—
519D4×D47—41no—
520D4×D47—82no—
521#10625350—41no—
522#10625350—41no—
523C2×D188—21no—
524C2×D188—21no—
525C2×D188—21no—
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—41no—
535C2×D188—41no—
536C2×D188—82no—
537C2×D188C2×D411yescharacteristic
538C2×D188C2411yescharacteristic
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×D47—21no—
550C2×C4×D47—21no—
551C2×C4×D47—21no—
552C2×C4×D47C2×D411yescharacteristic
553C2×C4×D47C2×D411yescharacteristic
554C2×C4×D47C2411yescharacteristic
555C2×C4×D47C2411yescharacteristic
556C2×Dic94—21no—
557C2×Dic94—21no—
558C2×Dic94—21no—
559C2×Dic94—21no—
560C2×Dic94—21no—
561C2×Dic94C2×D411yescharacteristic
562C2×Dic94C2411yescharacteristic
563C2×Dic94C2411yescharacteristic
564Q16×C47—22no—
565Q16×C47—41no—
566SD16×C47—22no—
567SD16×C47—41no—
568C2×C8×C47C2411yescharacteristic
569C2×C8×C47C2411yescharacteristic
570C2×C8×C47C2411yescharacteristic
571C2×C8×C47C2411yescharacteristic
572C4⋊C4×C47—21no—
573C4⋊C4×C47—21no—
574C4⋊C4×C47—21no—
575C4⋊C4×C47—21no—
576C4⋊C4×C47—21no—
577C4⋊C4×C47—21no—
578C4⋊C4×C47—21no—
579C4⋊C4×C47C2×D411yescharacteristic
580C4⋊C4×C47C2×D411yescharacteristic
581C4⋊C4×C47C2411yescharacteristic
582C4⋊C4×C47C2411yescharacteristic
583C4⋊C4×C47C2411yescharacteristic
584C4⋊C4×C47C2411yescharacteristic
585C22⋊C4×C47—21no—
586C22⋊C4×C47—21no—
587C22⋊C4×C47—21no—
588C22⋊C4×C47—21no—
589C22⋊C4×C47—21no—
590C22⋊C4×C47—21no—
591C22⋊C4×C47C2×D411yescharacteristic
592C22⋊C4×C47C2×D411yescharacteristic
593C42×C47—21no—
594C42×C47—21no—
595C42×C47—21no—
596C42×C47—21no—
597C42×C47—21no—
598C42×C47—21no—
599C42×C47C2411yescharacteristic
600C42×C47C2411yescharacteristic
601C22⋊Dic47—21no—
602C22⋊Dic47—21no—
603C22⋊Dic47—21no—
604C22⋊Dic47C2×D411yescharacteristic
605C22⋊Dic47C2×D411yescharacteristic
606#10625337—22no—
607#10625337—41no—
608#10625337—41no—
609#10625336—22no—
610#10625336—22no—
611#10625336—22no—
612#10625336—41no—
613#10625336—41no—
614#10625336—41no—
615#10625336—41no—
616#10625335—41no—
617#10625334—41no—
618(C2×D47)⋊C4—21no—
619(C2×D47)⋊C4—21no—
620(C2×D47)⋊C4—21no—
621(C2×D47)⋊C4—21no—
622(C2×D47)⋊C4—21no—
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)⋊C4—21no—
644(C2×D47)⋊C4—21no—
645(C2×D47)⋊C4—21no—
646(C2×D47)⋊C4C2×D411yescharacteristic
647(C2×D47)⋊C4C2×D411yescharacteristic
648(C2×D47)⋊C4C2×D411yescharacteristic
649(C2×D47)⋊C4C2×D411yescharacteristic
650(C2×D47)⋊C4C2×D411yescharacteristic
651(C2×D47)⋊C4C2×D411yescharacteristic
652C4⋊Dic47—21no—
653C4⋊Dic47—21no—
654C4⋊Dic47—21no—
655C4⋊Dic47—21no—
656C4⋊Dic47—21no—
657C4⋊Dic47C2×D411yescharacteristic
658C4⋊Dic47C2×D411yescharacteristic
659C4⋊Dic47C2411yescharacteristic
660C4⋊Dic47C2411yescharacteristic
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⋊C4—21no—
670Dic47⋊C4—21no—
671Dic47⋊C4C2×D411yescharacteristic
672Dic47⋊C4C2×D411yescharacteristic
673Dic47⋊C4C2×D411yescharacteristic
674Dic47⋊C4C2×D411yescharacteristic
675Dic47⋊C4C2×D411yescharacteristic
676Dic47⋊C4C2×D411yescharacteristic
677C4×Dic47—21no—
678C4×Dic47—21no—
679C4×Dic47—21no—
680C4×Dic47—21no—
681C4×Dic47—21no—
682C4×Dic47—21no—
683C4×Dic47—21no—
684C4×Dic47C2×D411yescharacteristic
685C4×Dic47C2×D411yescharacteristic
686C4×Dic47C2411yescharacteristic
687C4×Dic47C2411yescharacteristic
688#10625329—41no—
689C2×C47⋊C8—41no—
690C2×C47⋊C8C2411yescharacteristic
691C2×C47⋊C8C2411yescharacteristic
692C2×C47⋊C8C2411yescharacteristic
693C2×C47⋊C8C2411yescharacteristic
694Dic188—41no—
695D376—41no—
696D376—41no—
697D376—41no—
698#10625325—41no—
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×C47C22×D411yescharacteristic
708C22×D47—21no—
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—21no—
728Q8×C47—42no—
729Q8×C47—81no—
730Q8×C47H(5,𝔽2)12yes—
731D4×C47—21no—
732D4×C47—21no—
733D4×C47—81no—
734C2×C4×C47—21no—
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—42no—
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—81no—
754C22⋊D47—81no—
755C22⋊D47—81no—
756C22⋊D47—81no—
757C22⋊D47—81no—
758C22⋊D47—81no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47C22×D411yescharacteristic
764C2×Dic47C22×D411yescharacteristic
765C2×Dic47C22×D411yescharacteristic
766C2×Dic47C22×D411yescharacteristic
767C2×Dic47C22×D411yescharacteristic
768C2×Dic47C22×D411yescharacteristic
769D188—21no—
770D188—21no—
771D188—21no—
772D188—21no—
773D188—21no—
774D188—21no—
775D188—21no—
776D188—21no—
777D188—41no—
778D188—42no—
779D188—42no—
780D188—42no—
781D188—81no—
782D188—81no—
783D188—81no—
784D188—81no—
785D188—81no—
786D188—81no—
787D188—81no—
788D188—81no—
789C4×D47—21no—
790C4×D47—21no—
791C4×D47—21no—
792C4×D47—21no—
793C4×D47—41no—
794C4×D47—41no—
795C4×D47—42no—
796C4×D47—42no—
797C4×D47—42no—
798C4×D47—81no—
799C4×D47—81no—
800C4×D47—81no—
801C4×D47—81no—
802C4×D47—81no—
803C4×D47—81no—
804C4×D47—81no—
805Dic94—21no—
806Dic94—21no—
807Dic94—21no—
808Dic94—21no—
809Dic94—41no—
810Dic94—42no—
811Dic94—81no—
812Dic94—81no—
813Dic94—81no—
814Dic94—81no—
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×C47C23×D411yescharacteristic
831C2×D47—21no—
832C2×D47—21no—
833C2×D47—21no—
834C2×D47—21no—
835C2×D47—21no—
836C2×D47—21no—
837C2×D47—41no—
838C2×D47—41no—
839C2×D47—41no—
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—22no—
857C4×C47—21no—
858C4×C47—41no—
859C4×C47—41no—
860C4×C47—41no—
861C4×C47—41no—
862C4×C47—41no—
863C4×C47—41no—
864C4×C47C2×H(5,𝔽2)11yescharacteristic
865C4×C47#58511yescharacteristic
866Dic47—21no—
867Dic47—21no—
868Dic47—21no—
869Dic47—21no—
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#3262—471no—
896#3254—471no—
897#3224—471no—
898#3224—471no—
899#3215—471no—
900#3121—471no—
901#3121D4711yescharacteristic, complemented
902#3115—471no—
903#3043—471no—
904#3043—471no—
905#3040—471no—
906#2995—471no—
907C2×C47—41no—
908C2×C47—81no—
909C2×C47#348811yescharacteristic
910C2×C47#358511yescharacteristic
911C2×C47#358611yescharacteristic
912D47—41no—
913D47—41no—
914D47—81no—
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—471no—
951#542—941no—
952#542—941no—
953#542C2×D4711yescharacteristic
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#519C2×D4711yescharacteristic, complemented
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#485C2×D4711yescharacteristic, complemented
983#482—471no—
984#482—471no—
985#482—471no—
986#482C2×D4711yescharacteristic
987#477—471no—
988#477—471no—
989#477—471no—
990#477C2×D4711yescharacteristic, complemented
991#475C2×D4711yescharacteristic, complemented
992#474—471no—
993#474—471no—
994#474—471no—
995#474—471no—
996#474—471no—
997#468—471no—
998#468—471no—
999#468—471no—
1000#468—471no—
1001#468—471no—
1002#468—471no—
1003#468—471no—
1004#468—471no—
1005#467—471no—
1006#467—471no—
1007#466—471no—
1008#466—471no—
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#463—471no—
1028#463—471no—
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#451C2×D4711yescharacteristic, complemented
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#448C2×D4711yescharacteristic
1055#447—471no—
1056#447—471no—
1057#446—471no—
1058#446—471no—
1059#442—471no—
1060#442—471no—
1061#441—471no—
1062#441C2×D4711yescharacteristic, complemented
1063#440—471no—
1064#440—471no—
1065#440—471no—
1066#440C2×D4711yescharacteristic, complemented
1067C4×Q16—471no—
1068C4×Q16C2×D4711yescharacteristic, complemented
1069C4×SD16—471no—
1070C4×SD16C2×D4711yescharacteristic, complemented
1071#436—471no—
1072#436—471no—
1073#435—471no—
1074#435—471no—
1075#435—471no—
1076#435—471no—
1077#433—471no—
1078#433C2×D4711yescharacteristic, complemented
1079#432—471no—
1080#424—471no—
1081#424—471no—
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×Q8C22×D4711yescharacteristic
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×Q16C22×D4711yescharacteristic
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×D8—471no—
1132C2×M16—471no—
1133C2×M16—471no—
1134C2×M16—471no—
1135C2×M16—471no—
1136C22×C8—471no—
1137C22×C8—471no—
1138C4⋊Q8—471no—
1139C4⋊Q8—471no—
1140C4⋊Q8—471no—
1141C4⋊Q8—471no—
1142C4⋊Q8—941no—
1143C4⋊Q8—941no—
1144C4⋊Q8—941no—
1145C4⋊Q8—941no—
1146C4⋊Q8C22×D4711yescharacteristic
1147#127—471no—
1148#127—471no—
1149#127—471no—
1150#126—21no—
1151#126—471no—
1152#126—471no—
1153#126—941no—
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—471no—
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#124—941no—
1189#124C22×D4711yescharacteristic
1190#123—21no—
1191#123—471no—
1192#123—471no—
1193#123—941no—
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—471no—
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⋊Q8—941no—
1220C22⋊Q8C22×D4711yescharacteristic
1221#121—471no—
1222#121—471no—
1223#121—471no—
1224#121—471no—
1225#121—471no—
1226#121—471no—
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#121—941no—
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—21no—
1253C4×Q8—21no—
1254C4×Q8—471no—
1255C4×Q8—471no—
1256C4×Q8—471no—
1257C4×Q8—471no—
1258C4×Q8—471no—
1259C4×Q8—471no—
1260C4×Q8—941no—
1261C4×Q8—941no—
1262C4×Q8—941no—
1263C4×Q8—941no—
1264C4×Q8—941no—
1265C4×Q8—941no—
1266C4×Q8C22×D4711yescharacteristic
1267C4×Q8C22×D4711yescharacteristic
1268C4×Q8C22×D4711yescharacteristic
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—471no—
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×D4—941no—
1289C4×D4C22×D4711yescharacteristic
1290#117—21no—
1291#117—21no—
1292#117—471no—
1293#117—471no—
1294#117—471no—
1295#117—941no—
1296#117—941no—
1297#117—941no—
1298#117—941no—
1299#117—941no—
1300#117—941no—
1301#117C22×D4711yescharacteristic
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#107—471no—
1312#107—471no—
1313#107C22×D4711yescharacteristic
1314#107C22×D4711yescharacteristic
1315#106C22×D4711yescharacteristic
1316#106C22×D4711yescharacteristic
1317C4⋊C8—471no—
1318C4⋊C8—471no—
1319C4⋊C8—471no—
1320C4⋊C8—471no—
1321C4⋊C8—471no—
1322C4⋊C8—471no—
1323C4⋊C8—471no—
1324C4⋊C8—471no—
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#103C22×D4711yescharacteristic
1336#103C22×D4711yescharacteristic
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#102—471no—
1356#102—471no—
1357#102C22×D4711yescharacteristic
1358#102C22×D4711yescharacteristic
1359C22⋊C8—471no—
1360C22⋊C8—471no—
1361C22⋊C8—471no—
1362C22⋊C8—471no—
1363C22⋊C8C22×D4711yescharacteristic
1364C22⋊C8C22×D4711yescharacteristic
1365#97—471no—
1366#97—471no—
1367#97—471no—
1368#97C22×D4711yescharacteristic
1369C4×C8—471no—
1370C4×C8C22×D4711yescharacteristic
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—22no—
1384C2×Q8—41no—
1385C2×Q8—471no—
1386C2×Q8—471no—
1387C2×Q8—471no—
1388C2×Q8—941no—
1389C2×Q8—941no—
1390C2×Q8—941no—
1391C2×Q8—941no—
1392C2×Q8—941no—
1393C2×Q8—942no—
1394C2×Q8—1881no—
1395C2×Q8—1881no—
1396C2×Q8—1881no—
1397C2×Q8C23×D4711yescharacteristic
1398C2×Q8C23×D4711yescharacteristic
1399C2×Q8C23×D4711yescharacteristic
1400C2×D4—21no—
1401C2×D4—471no—
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—941no—
1425C2×D4—3762no—
1426C2×D4—3762no—
1427C2×D4—1881no—
1428C2×D4—1881no—
1429C2×D4—1881no—
1430C2×D4—1881no—
1431C2×D4—1881no—
1432C2×D4—1881no—
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—22no—
1452Q16—41no—
1453Q16—942no—
1454Q16—1881no—
1455Q16—1881no—
1456Q16—1881no—
1457SD16—22no—
1458SD16—41no—
1459SD16—942no—
1460SD16—942no—
1461SD16—942no—
1462SD16—1881no—
1463SD16—1881no—
1464SD16—1881no—
1465SD16—1881no—
1466SD16—1881no—
1467SD16—1881no—
1468SD16—1881no—
1469SD16—1881no—
1470SD16—1881no—
1471D8—1881no—
1472D8—1881no—
1473D8—1881no—
1474D8—1881no—
1475M16—1881no—
1476M16—1881no—
1477M16—1881no—
1478M16—1881no—
1479C2×C8—471no—
1480C2×C8—471no—
1481C2×C8—471no—
1482C2×C8—471no—
1483C2×C8—1881no—
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—21no—
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—471no—
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—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—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—21no—
1577C42—21no—
1578C42—21no—
1579C42—21no—
1580C42—471no—
1581C42—471no—
1582C42—471no—
1583C42—471no—
1584C42—941no—
1585C42—941no—
1586C42—941no—
1587C42—941no—
1588C42—941no—
1589C42—941no—
1590C42—941no—
1591C42C23×D4711yescharacteristic
1592C42C23×D4711yescharacteristic
1593C23—21no—
1594C23—471no—
1595C23—471no—
1596C23—941no—
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—21no—
1615Q8—42no—
1616Q8—81no—
1617Q8—941no—
1618Q8—941no—
1619Q8—941no—
1620Q8—941no—
1621Q8—3761no—
1622Q8—3761no—
1623Q8—3761no—
1624Q8—3761no—
1625Q8—1881no—
1626Q8—1882no—
1627Q8#1309407012yes—
1628D4—21no—
1629D4—21no—
1630D4—81no—
1631D4—941no—
1632D4—941no—
1633D4—941no—
1634D4—941no—
1635D4—941no—
1636D4—941no—
1637D4—941no—
1638D4—941no—
1639D4—3761no—
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—1882no—
1657D4—1881no—
1658D4—1881no—
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—21no—
1668C2×C4—42no—
1669C2×C4—81no—
1670C2×C4—471no—
1671C2×C4—471no—
1672C2×C4—471no—
1673C2×C4—471no—
1674C2×C4—471no—
1675C2×C4—471no—
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—3761no—
1691C2×C4—1881no—
1692C2×C4—1881no—
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—941no—
1717C22—941no—
1718C22—941no—
1719C22—941no—
1720C22—941no—
1721C22—941no—
1722C22—1881no—
1723C22—1881no—
1724C22—1881no—
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—22no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—941no—
1751C4—941no—
1752C4—941no—
1753C4—941no—
1754C4—941no—
1755C4—941no—
1756C4—1881no—
1757C4—1881no—
1758C4—1881no—
1759C4—1881no—
1760C4C2×#1309407011yescharacteristic
1761C4#1568995911yescharacteristic
1762C2—41no—
1763C2—81no—
1764C2—3761no—
1765C2—3761no—
1766C2—3761no—
1767C2—3761no—
1768C2—1881no—
1769C2—1881no—
1770C2#2025704911yescharacteristic
1771C2#2025816611yescharacteristic
1772C2#2025817311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3121C2
socleC22×C47C23×D4
hypercenter#3121D47
hypocenterC47#62092
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #117 ◁ #3121

Complements

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

NH ≅ G/Ntype
1. #20257903C2semidirect
2. #20257399C2semidirect
3. #20256455C2semidirect
4. #20256450C2semidirect
5. #20256203C2semidirect
6. #20256200C2semidirect
7. #20255621C2semidirect
8. #20255617C2semidirect
9. #20255547C2semidirect
10. #20255542C2semidirect
11. #20255459C2semidirect
12. #20255452C2semidirect
13. #20255045C2semidirect
14. #20255044C2semidirect
15. #20254901C2semidirect
16. #20254891C2semidirect
17. #20254885C2semidirect
18. #20254876C2semidirect
19. #20254851C2semidirect
20. #20254844C2semidirect
21. #20254774C2semidirect
22. #20254489C2semidirect
23. #20254484C2semidirect
24. #20254389C2semidirect
25. #20253624C2semidirect
26. #20253542C2semidirect
27. #20252909C2semidirect
28. #20252907C2semidirect
29. #20252879C2semidirect
30. #20252553C2semidirect
31. C47×#3121C2semidirect
32. C2×#13094056C22semidirect
33. C2×#13094056C22semidirect
34. C2×#13094055C22semidirect
36. C22×#10625336C22semidirect
37. C2×SD16×D47C22semidirect
42. Q8×Dic94C22semidirect
44. #15689846C22semidirect
46. #15689845C22semidirect
48. #15689841C22semidirect
50. #15689836C22semidirect
51. Q8×C22⋊D47C22semidirect
53. #15689785C22semidirect
54. #15689784C22semidirect
64. #15689745C22semidirect
66. #15689744C22semidirect
74. #15689677C22semidirect
79. #15689599C22semidirect
80. C4×#10625354C22semidirect
81. #15689516C22semidirect
82. #15689514C22semidirect
85. #15689508C22semidirect
86. #15689507C22semidirect
87. #15689484C22semidirect
88. #15689484C22semidirect
89. #15689483C22semidirect
90. #15689481C22semidirect
93. #15689467C22semidirect
95. #15689449C22semidirect
96. #15689449C22semidirect
97. #15689418C22semidirect
98. #15689417C22semidirect
99. #15689415C22semidirect
100. #15689403C22semidirect
101. #15689402C22semidirect
102. #15689402C22semidirect
103. #15689402C22semidirect
104. #15689400C22semidirect
106. #15689372C22semidirect
107. #15689372C22semidirect
108. #15689371C22semidirect
109. #15689370C22semidirect
110. #15689370C22semidirect
111. #15689370C22semidirect
113. #15689363C22semidirect
114. #15689362C22semidirect
117. #15689348C22semidirect
118. #15689348C22semidirect
119. #15689347C22semidirect
120. #15689347C22semidirect
121. #15689346C22semidirect
122. #15689345C22semidirect
123. #15689345C22semidirect
124. #15689345C22semidirect
125. #15689345C22semidirect
126. #15689345C22semidirect
127. #15689343C22semidirect
128. #15689342C22semidirect
129. #15689341C22semidirect
130. #15689341C22semidirect
131. #15689339C22semidirect
132. #15689338C22semidirect
133. #15689337C22semidirect
134. #15689335C22semidirect
135. #15689327C22semidirect
136. #15689327C22semidirect
137. #15689324C22semidirect
140. #15689323C22semidirect
141. #15689323C22semidirect
144. #15689319C22semidirect
145. #15689287C22semidirect
146. #15689284C22semidirect
147. #15689280C22semidirect
148. #15689280C22semidirect
149. #15689277C22semidirect
150. #15689276C22semidirect
153. #15689272C22semidirect
154. #15689271C22semidirect
155. #15689271C22semidirect
156. #15689271C22semidirect
157. #15689270C22semidirect
159. #15689259C22semidirect
160. #15689258C22semidirect
161. #15689253C22semidirect
162. #15689251C22semidirect
163. #15689234C22semidirect
164. #15689234C22semidirect
165. #15689229C22semidirect
166. #15689226C22semidirect
167. #15689226C22semidirect
168. #15689226C22semidirect
169. #15689215C22semidirect
170. #15689210C22semidirect
171. #15689202C22semidirect
172. #15689198C22semidirect
173. #15689197C22semidirect
174. #15689196C22semidirect
175. #15689191C22semidirect
176. #15689191C22semidirect
177. #15689183C22semidirect
178. #15689179C22semidirect
179. #15689150C22semidirect
180. #15689148C22semidirect
181. #15689145C22semidirect
182. #15689130C22semidirect
183. #15689127C22semidirect
185. #15689126C22semidirect
186. #15689118C22semidirect
187. #15689117C22semidirect
189. C47×#519C22semidirect
190. C47×#485C22semidirect
192. C47×#477C22semidirect
193. C47×#475C22semidirect
194. C47×#464C22semidirect
195. C47×#464C22semidirect
196. C47×#451C22semidirect
198. C47×#441C22semidirect
199. C47×#440C22semidirect
200. C4×Q16×C47C22semidirect
201. C4×SD16×C47C22semidirect
202. C47×#433C22semidirect
901. #3121D47semidirect
967. #519C2×D47semidirect
982. #485C2×D47semidirect
990. #477C2×D47semidirect
991. #475C2×D47semidirect
1021. #464C2×D47semidirect
1022. #464C2×D47semidirect
1044. #451C2×D47semidirect
1062. #441C2×D47semidirect
1066. #440C2×D47semidirect
1068. C4×Q16C2×D47semidirect
1070. C4×SD16C2×D47semidirect
1078. #433C2×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
#202573992
#202564552
#202564502
#202562032
#202562002
#202556212
#202556172
#202555472
#202555422
#202554592
#202554522
#202550452
#202550442
#202549012
#202548912
#202548852
#202548762
#202548512
#202548442
#202547742
#202544892
#202544842
#202543892
#202536242
#202535422
#202529092
#202529072
#202528792
#202525532
C47×#31212
#6209247