Finite Group Databasebeta

← #27110077

Subgroups — #27110077

Order 12032.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257976C211yesmaximal, characteristic, complemented
2#20257332C211yesmaximal, characteristic, complemented
3#20256456C211yesmaximal, characteristic, complemented
4#20256401C211yesmaximal, characteristic, complemented
5#20256143C211yesmaximal, characteristic, complemented
6#20256039C211yesmaximal, characteristic, complemented
7#20255694C211yesmaximal, characteristic, complemented
8#20255658C211yesmaximal, characteristic, complemented
9#20255643C211yesmaximal, characteristic, complemented
10#20255516C211yesmaximal, characteristic, complemented
11#20255351C211yesmaximal, characteristic, complemented
12#20255240C211yesmaximal, characteristic, complemented
13#20255100C211yesmaximal, characteristic, complemented
14#20255010C211yesmaximal, characteristic, complemented
15#20255000C211yesmaximal, characteristic, complemented
16#20255000C211yesmaximal, characteristic, complemented
17#20254918C211yesmaximal, characteristic, complemented
18#20254888C211yesmaximal, characteristic, complemented
19#20254835C211yesmaximal, characteristic, complemented
20#20254801C211yesmaximal, characteristic, complemented
21#20254789C211yesmaximal, characteristic, complemented
22#20254499C211yesmaximal, characteristic, complemented
23#20254440C211yesmaximal, characteristic, complemented
24#20254366C211yesmaximal, characteristic, complemented
25#20253632C211yesmaximal, characteristic, complemented
26#20253604C211yesmaximal, characteristic, complemented
27#20253437C211yesmaximal, characteristic, complemented
28#20252929C211yesmaximal, characteristic, complemented
29#20252901C211yesmaximal, characteristic, complemented
30#20252854C211yesmaximal, characteristic, complemented
31C47×#2993C211yesmaximal, characteristic, complemented
32C2×#13094052C2211yescharacteristic
33C2×#13094052C2211yescharacteristic
34C2×#13094052C2211yescharacteristic
35C2×#13094052C2211yescharacteristic, complemented
36C2×#13094046C2211yescharacteristic
37C22×#10625325C2211yescharacteristic, complemented
38#15689869—21no—
39#15689861—21no—
40#15689858C2211yescharacteristic, complemented
41#15689858C2211yescharacteristic, complemented
42#15689846C2211yescharacteristic, complemented
43#15689833C2211yescharacteristic, complemented
44#15689824—21no—
45#15689824—21no—
46#15689819C2211yescharacteristic
47#15689813C2211yescharacteristic, complemented
48#15689800—21no—
49#15689798—21no—
50#15689798—21no—
51#15689794C2211yescharacteristic
52#15689782C2211yescharacteristic
53#15689782C2211yescharacteristic, complemented
54#15689778C2211yescharacteristic, complemented
55#15689777C2211yescharacteristic
56#15689769C2211yescharacteristic
57#15689769C2211yescharacteristic
58#15689769C2211yescharacteristic, complemented
59#15689769C2211yescharacteristic, complemented
60#15689762—21no—
61D4×D188C2211yescharacteristic, complemented
62#15689744C2211yescharacteristic, complemented
63#15689735C2211yescharacteristic, complemented
64#15689728C2211yescharacteristic
65#15689728C2211yescharacteristic, complemented
66#15689725—21no—
67#15689721—21no—
68#15689721—21no—
69#15689709—21no—
70#15689707—21no—
71#15689707—21no—
72#15689699C2211yescharacteristic, complemented
73#15689692C2211yescharacteristic, complemented
74#15689673C2211yescharacteristic, complemented
75#15689657C2211yescharacteristic, complemented
76#15689657C2211yescharacteristic, complemented
77#15689631—21no—
78#123×D47—21no—
79#15689603C2211yescharacteristic
80#15689597C2211yescharacteristic, complemented
81C2×C4×D188C2211yescharacteristic, complemented
82#15689517C2211yescharacteristic, complemented
83#15689512C2211yescharacteristic
84#15689507C2211yescharacteristic, complemented
85#15689507C2211yescharacteristic, complemented
86#15689507C2211yescharacteristic, complemented
87#15689500C2211yescharacteristic
88#15689488C2211yescharacteristic, complemented
89#15689483C2211yescharacteristic, complemented
90#15689478C2211yescharacteristic, complemented
91#15689478C2211yescharacteristic, complemented
92#15689478C2211yescharacteristic, complemented
93#15689474C2211yescharacteristic, complemented
94#15689459C2211yescharacteristic, complemented
95#15689459C2211yescharacteristic, complemented
96#15689454C2211yescharacteristic, complemented
97#15689448C2211yescharacteristic, complemented
98#15689448C2211yescharacteristic, complemented
99#15689442C2211yescharacteristic, complemented
100#15689431C2211yescharacteristic, complemented
101#15689431C2211yescharacteristic, complemented
102#15689431C2211yescharacteristic, complemented
103#15689431C2211yescharacteristic, complemented
104#15689424C2211yescharacteristic, complemented
105#15689424C2211yescharacteristic, complemented
106#15689424C2211yescharacteristic, complemented
107#15689424C2211yescharacteristic, complemented
108#15689414C2211yescharacteristic, complemented
109#15689404C2211yescharacteristic, complemented
110#15689381C2211yescharacteristic, complemented
111#15689376C2211yescharacteristic
112#15689376C2211yescharacteristic, complemented
113#15689369C2211yescharacteristic, complemented
114#15689369C2211yescharacteristic, complemented
115#15689369C2211yescharacteristic, complemented
116#15689369C2211yescharacteristic, complemented
117#15689369C2211yescharacteristic, complemented
118#15689359C2211yescharacteristic
119#15689352C2211yescharacteristic, complemented
120#15689352C2211yescharacteristic, complemented
121#15689352C2211yescharacteristic, complemented
122#15689346C2211yescharacteristic, complemented
123#15689346C2211yescharacteristic, complemented
124#15689346C2211yescharacteristic, complemented
125#15689339C2211yescharacteristic
126#15689339C2211yescharacteristic
127#15689339C2211yescharacteristic
128#15689339C2211yescharacteristic
129#15689339C2211yescharacteristic, complemented
130#15689339C2211yescharacteristic, complemented
131#15689339C2211yescharacteristic, complemented
132#15689339C2211yescharacteristic, complemented
133#15689339C2211yescharacteristic, complemented
134#15689339C2211yescharacteristic, complemented
135#15689339C2211yescharacteristic, complemented
136#15689339C2211yescharacteristic, complemented
137#15689339C2211yescharacteristic, complemented
138#15689334C2211yescharacteristic, complemented
139#15689329C2211yescharacteristic, complemented
140#15689329C2211yescharacteristic, complemented
141#15689329C2211yescharacteristic, complemented
142#15689329C2211yescharacteristic, complemented
143#15689329C2211yescharacteristic, complemented
144#15689324C2211yescharacteristic, complemented
145#15689324C2211yescharacteristic, complemented
146#15689324C2211yescharacteristic, complemented
147#15689324C2211yescharacteristic, complemented
148#15689319C2211yescharacteristic
149#15689319C2211yescharacteristic
150#15689319C2211yescharacteristic, complemented
151#15689319C2211yescharacteristic, complemented
152#15689287C2211yescharacteristic
153#15689287C2211yescharacteristic
154#15689287C2211yescharacteristic, complemented
155#15689287C2211yescharacteristic, complemented
156#15689287C2211yescharacteristic, complemented
157#15689281C2211yescharacteristic, complemented
158#15689276C2211yescharacteristic, complemented
159#15689270C2211yescharacteristic
160#15689270C2211yescharacteristic
161#15689270C2211yescharacteristic, complemented
162#15689270C2211yescharacteristic, complemented
163#15689270C2211yescharacteristic, complemented
164#15689264C2211yescharacteristic, complemented
165#15689259C2211yescharacteristic
166#15689259C2211yescharacteristic
167#15689259C2211yescharacteristic, complemented
168#15689259C2211yescharacteristic, complemented
169#15689259C2211yescharacteristic, complemented
170#15689236C2211yescharacteristic, complemented
171#15689236C2211yescharacteristic, complemented
172#15689231C2211yescharacteristic, complemented
173#15689225C2211yescharacteristic, complemented
174C4×Dic188C2211yescharacteristic, complemented
175C4×#10625325C2211yescharacteristic, complemented
176C4×#10625325C2211yescharacteristic, complemented
177C4×#10625325C2211yescharacteristic, complemented
178C4×D376C2211yescharacteristic
179C4×D376C2211yescharacteristic
180C4×D376C2211yescharacteristic, complemented
181C4×D376C2211yescharacteristic, complemented
182#15689133C2211yescharacteristic, complemented
183#15689125C2211yescharacteristic, complemented
184#15689125C2211yescharacteristic, complemented
185#15689125C2211yescharacteristic, complemented
186#15689120C2211yescharacteristic, complemented
187C2×#13093946C2211yescharacteristic, complemented
188C47×#529C2211yescharacteristic
189C47×#446C2211yescharacteristic, complemented
190C8×Q8×C47C2211yescharacteristic, complemented
191C47×#436C2211yescharacteristic, complemented
192C47×#436C2211yescharacteristic, complemented
193C47×#436C2211yescharacteristic, complemented
194C47×#435C2211yescharacteristic, complemented
195C47×#435C2211yescharacteristic, complemented
196C8×D4×C47C2211yescharacteristic, complemented
197C47×#433C2211yescharacteristic, complemented
198C47×#433C2211yescharacteristic, complemented
199C47×#431C2211yescharacteristic, complemented
200C47×#424C2211yescharacteristic, complemented
201C47×#424C2211yescharacteristic, complemented
202C47×#423C2211yescharacteristic, complemented
203C2×#10625350C2311yescharacteristic
204C2×#10625350C2311yescharacteristic
205C2×#10625350C2311yescharacteristic
206C2×#10625350C2311yescharacteristic
207C2×#10625350C2311yescharacteristic
208C2×#10625352—21no—
209C22×Dic94C2311yescharacteristic
210C22×D188C2311yescharacteristic
211C22×D188C2311yescharacteristic
212C22×D188C2311yescharacteristic
213C2×D4×D47—21no—
214C22×C4×D47—21no—
215#13094052—42no—
216#13094052—42no—
217#13094052—42no—
218#13094052—42no—
219#13094046—42no—
220C2×Dic188C2311yescharacteristic
221C2×Dic188C2311yescharacteristic
222C2×Dic188C2311yescharacteristic
223C2×#10625325—42no—
224C2×#10625325C2311yescharacteristic
225C2×#10625325C2311yescharacteristic
226C2×#10625325C2311yescharacteristic
227C2×#10625325C2311yescharacteristic
228C2×#10625325C2311yescharacteristic
229C2×#10625325C2311yescharacteristic
230C2×#10625325C2311yescharacteristic
231C2×#10625325C2311yescharacteristic
232C2×#10625325C2311yescharacteristic
233C2×#10625325C2311yescharacteristic
234C2×#10625325C2311yescharacteristic
235C2×#10625325C2311yescharacteristic
236C2×D376C2311yescharacteristic
237C2×D376C2311yescharacteristic
238C2×D376C2311yescharacteristic
239C2×D376C2311yescharacteristic
240C2×D376C2311yescharacteristic
241C2×D376C2311yescharacteristic
242C2×D376C2311yescharacteristic
243C2×D376C2311yescharacteristic
244C2×D376C2311yescharacteristic
245#13094024C2311yescharacteristic
246#13094024C2311yescharacteristic
247#13094024C2311yescharacteristic
248#13094021C2311yescharacteristic
249#13094021C2311yescharacteristic
250#13094021C2311yescharacteristic
251#13094020—21no—
252#13094019—21no—
253#13094019—21no—
254#13094019—21no—
255#13094019—21no—
256#13094018—21no—
257#13094018—21no—
258#13094017—21no—
259#13094017—21no—
260#13094017—21no—
261#13094016C2311yescharacteristic
262#13094016C2311yescharacteristic
263#13094016C2311yescharacteristic
264#13094014—21no—
265#13094014—21no—
266#13094014—21no—
267#13094013—21no—
268#13094013—21no—
269#13094012C2311yescharacteristic
270#13094012C2311yescharacteristic
271#13094012C2311yescharacteristic
272#13094012C2311yescharacteristic
273#13094012C2311yescharacteristic
274#13094012C2311yescharacteristic
275#13094012C2311yescharacteristic
276#13094010—21no—
277#13094010—21no—
278#13094010—21no—
279#13094009—21no—
280#13094009—21no—
281#13094009—21no—
282#13094009—21no—
283#13094009—21no—
284#13094009—21no—
285#13094009—21no—
286#13094009—21no—
287#13094009—21no—
288#13094009—21no—
289#13094009—21no—
290#13094009—21no—
291#13094008—21no—
292#13094008—21no—
293#13094008—21no—
294#13094008—21no—
295#13094007—21no—
296#13094007—21no—
297#13094006—21no—
298#13094006—21no—
299#13094006—21no—
300#13094006—21no—
301#13094005—21no—
302#13094004—21no—
303#13094004—21no—
304#13094004—21no—
305#13094003C2311yescharacteristic
306#13094003C2311yescharacteristic
307#13094003C2311yescharacteristic
308#13094003C2311yescharacteristic
309#13094003C2311yescharacteristic
310#13094002—21no—
311#13094002—21no—
312#13094002—21no—
313#13094002—21no—
314#13094002—21no—
315#13094000—21no—
316#13094000—21no—
317#13093999—21no—
318#13093999—21no—
319#13093999—21no—
320#13093998—21no—
321#13093998—21no—
322#13093998C2311yescharacteristic
323#13093998C2311yescharacteristic
324#13093998C2311yescharacteristic
325#13093998C2311yescharacteristic
326#13093998C2311yescharacteristic
327#13093998C2311yescharacteristic
328#13093998C2311yescharacteristic
329#13093997—21no—
330#13093997—21no—
331#13093997—21no—
332#13093997—21no—
333#13093997—21no—
334#13093997—21no—
335#13093997—21no—
336#13093997—21no—
337#13093997—21no—
338#13093997—21no—
339#13093996—21no—
340#13093996—21no—
341#13093996—21no—
342#13093995—21no—
343#13093994—21no—
344#13093994—21no—
345#13093994—21no—
346#13093994—21no—
347#13093992—21no—
348#13093992—21no—
349#13093992—21no—
350#13093992—21no—
351C4×Dic94C2311yescharacteristic
352C4×Dic94C2311yescharacteristic
353C4×Dic94C2311yescharacteristic
354C4×Dic94C2311yescharacteristic
355C4×Dic94C2311yescharacteristic
356C4×D188—21no—
357C4×D188—21no—
358C4×D188—21no—
359C4×D188—21no—
360C4×D188C2311yescharacteristic
361C4×D188C2311yescharacteristic
362C4×D188C2311yescharacteristic
363C4×D188C2311yescharacteristic
364C4×D188C2311yescharacteristic
365C4×D188C2311yescharacteristic
366C4×D188C2311yescharacteristic
367C4×D188C2311yescharacteristic
368C4×D188C2311yescharacteristic
369C4×D188C2311yescharacteristic
370C4×D188C2311yescharacteristic
371#13093986—21no—
372#13093986—21no—
373#13093986—21no—
374#13093986—21no—
375#13093986—21no—
376C4×C22⋊D47—21no—
377C4×C22⋊D47—21no—
378(C22⋊D47)⋊C4—21no—
379(C22⋊D47)⋊C4—21no—
380(C22⋊D47)⋊C4—21no—
381(C22⋊D47)⋊C4—21no—
382(C22⋊D47)⋊C4—21no—
383#13093983C2311yescharacteristic
384#13093982—21no—
385#13093982—21no—
386#13093981—21no—
387#13093981—21no—
388#13093980—21no—
389C2×C4⋊Dic47C2311yescharacteristic
390C2×C4⋊Dic47C2311yescharacteristic
391C4⋊C4×D47—21no—
392C4⋊C4×D47—21no—
393C4⋊C4×D47—21no—
394C2×(C2×D47)⋊C4—21no—
395C22⋊C4×D47—21no—
396C22⋊C4×D47—21no—
397C22⋊C4×D47—21no—
398C22⋊C4×D47—21no—
399C22⋊C4×D47—21no—
400C22⋊C4×D47—21no—
401#13093958C2311yescharacteristic
402#13093958C2311yescharacteristic
403#13093958C2311yescharacteristic
404#13093958C2311yescharacteristic
405#13093956C2311yescharacteristic
406#13093956C2311yescharacteristic
407#13093956C2311yescharacteristic
408#13093956C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093949C2311yescharacteristic
414#13093949C2311yescharacteristic
415#13093949C2311yescharacteristic
416#13093949C2311yescharacteristic
417#13093949C2311yescharacteristic
418#13093949C2311yescharacteristic
419#13093949C2311yescharacteristic
420#13093949C2311yescharacteristic
421#13093949C2311yescharacteristic
422#13093949C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093946C2311yescharacteristic
426#13093946C2311yescharacteristic
427#13093946C2311yescharacteristic
428#13093946C2311yescharacteristic
429#13093946C2311yescharacteristic
430#13093946C2311yescharacteristic
431#13093946C2311yescharacteristic
432#13093946C2311yescharacteristic
433#13093946C2311yescharacteristic
434#13093946C2311yescharacteristic
435#13093946C2311yescharacteristic
436#13093946C2311yescharacteristic
437#13093946C2311yescharacteristic
438#13093946C2311yescharacteristic
439#13093946C2311yescharacteristic
440#13093946C2311yescharacteristic
441C2×M16×C47C2311yescharacteristic
442C2×M16×C47C2311yescharacteristic
443C2×M16×C47C2311yescharacteristic
444C2×M16×C47C2311yescharacteristic
445C22×C8×C47C2311yescharacteristic
446C22×C8×C47C2311yescharacteristic
447#126×C47D411yescharacteristic
448#126×C47D411yescharacteristic
449#125×C47D411yescharacteristic
450#124×C47D411yescharacteristic
451#123×C47D411yescharacteristic
452#123×C47D411yescharacteristic
453C22⋊Q8×C47D411yescharacteristic
454#121×C47D411yescharacteristic
455C4×Q8×C47C2311yescharacteristic
456C4×D4×C47C2311yescharacteristic
457C4×D4×C47C2311yescharacteristic
458C4×D4×C47C2311yescharacteristic
459#117×C47C2311yescharacteristic
460#117×C47C2311yescharacteristic
461C2×C42×C47C2311yescharacteristic
462C4⋊C8×C47C2311yescharacteristic
463C4⋊C8×C47C2311yescharacteristic
464C4⋊C8×C47C2311yescharacteristic
465C4⋊C8×C47C2311yescharacteristic
466C4⋊C8×C47C2311yescharacteristic
467C4⋊C8×C47C2311yescharacteristic
468C4⋊C8×C47C2311yescharacteristic
469C4⋊C8×C47C2311yescharacteristic
470C4⋊C8×C47C2311yescharacteristic
471C4⋊C8×C47C2311yescharacteristic
472C22⋊C8×C47C2311yescharacteristic
473C22⋊C8×C47C2311yescharacteristic
474C22⋊C8×C47C2311yescharacteristic
475C22⋊C8×C47C2311yescharacteristic
476C22⋊C8×C47C2311yescharacteristic
477C22⋊C8×C47C2311yescharacteristic
478#97×C47C2311yescharacteristic
479#97×C47C2311yescharacteristic
480C4×C8×C47C2311yescharacteristic
481C4×C8×C47C2311yescharacteristic
482C4×C8×C47C2311yescharacteristic
483C4×C8×C47C2311yescharacteristic
484C23×D47—21no—
485C23×D47—21no—
486C23×D47—21no—
487C2×Q8×C47C2×D411yescharacteristic
488C2×D4×C47C2×D411yescharacteristic
489C2×D4×C47C2×D411yescharacteristic
490C2×D4×C47C2×D411yescharacteristic
491C22×C4×C47C2×D411yescharacteristic
492C22×C4×C47C2×D411yescharacteristic
493C22×C4×C47C2411yescharacteristic
494C22×C4×C47C2411yescharacteristic
495C22×C4×C47C2411yescharacteristic
496C2×C22⋊D47—21no—
497C2×C22⋊D47—21no—
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⋊D47—21no—
506C2×C22⋊D47—21no—
507C2×C22⋊D47—21no—
508C22×Dic47—21no—
509C22×Dic47—21no—
510C22×Dic47—21no—
511#10625352—82no—
512D4×D47—82no—
513#10625350—22no—
514#10625350—41no—
515#10625350—41no—
516#10625350—41no—
517#10625350—41no—
518#10625350—41no—
519#10625350—41no—
520#10625350—41no—
521#10625350—41no—
522#10625350—41no—
523C2×D188—22no—
524C2×D188—22no—
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—41no—
537C2×D188—41no—
538C2×D188C2411yescharacteristic
539C2×D188C2411yescharacteristic
540C2×D188C2411yescharacteristic
541C2×D188C2411yescharacteristic
542C2×D188C2411yescharacteristic
543C2×D188C2411yescharacteristic
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×D47—21no—
553C2×C4×D47—21no—
554C2×C4×D47—21no—
555C2×C4×D47—21no—
556C2×C4×D47—21no—
557C2×C4×D47—21no—
558C2×C4×D47—21no—
559C2×C4×D47—21no—
560C2×C4×D47—82no—
561C2×Dic94—21no—
562C2×Dic94—21no—
563C2×Dic94—41no—
564C2×Dic94—41no—
565C2×Dic94C2411yescharacteristic
566C2×Dic94C2411yescharacteristic
567C2×Dic94C2411yescharacteristic
568C2×Dic94C2411yescharacteristic
569M16×C47—41no—
570M16×C47—41no—
571M16×C47—41no—
572M16×C47—41no—
573C2×C8×C47—41no—
574C2×C8×C47—41no—
575C2×C8×C47C2411yescharacteristic
576C2×C8×C47C2411yescharacteristic
577C2×C8×C47C2411yescharacteristic
578C2×C8×C47C2411yescharacteristic
579C2×C8×C47C2411yescharacteristic
580C2×C8×C47C2411yescharacteristic
581C2×C8×C47C2411yescharacteristic
582C2×C8×C47C2411yescharacteristic
583C4⋊C4×C47C2×D411yescharacteristic
584C4⋊C4×C47C2×D411yescharacteristic
585C4⋊C4×C47C2×D411yescharacteristic
586C4⋊C4×C47C2×D411yescharacteristic
587C4⋊C4×C47C2×D411yescharacteristic
588C4⋊C4×C47C2×D411yescharacteristic
589C4⋊C4×C47C2×D411yescharacteristic
590C4⋊C4×C47C2×D411yescharacteristic
591C4⋊C4×C47C2×D411yescharacteristic
592C4⋊C4×C47C2×D411yescharacteristic
593C22⋊C4×C47C2×D411yescharacteristic
594C22⋊C4×C47C2×D411yescharacteristic
595C22⋊C4×C47C2×D411yescharacteristic
596C22⋊C4×C47C2×D411yescharacteristic
597C22⋊C4×C47C2×D411yescharacteristic
598C22⋊C4×C47C2×D411yescharacteristic
599C22⋊C4×C47C2×D411yescharacteristic
600C22⋊C4×C47C2×D411yescharacteristic
601C22⋊C4×C47C2×D411yescharacteristic
602C22⋊C4×C47C2×D411yescharacteristic
603C42×C47C2×D411yescharacteristic
604C42×C47C2×D411yescharacteristic
605C42×C47C2411yescharacteristic
606C42×C47C2411yescharacteristic
607C42×C47C2411yescharacteristic
608C42×C47C2411yescharacteristic
609C22⋊Dic47—21no—
610C22⋊Dic47—21no—
611C22⋊Dic47—21no—
612C22⋊Dic47—21no—
613C22⋊Dic47—21no—
614C22⋊Dic47—21no—
615(C2×D47)⋊C4—21no—
616(C2×D47)⋊C4—21no—
617(C2×D47)⋊C4—21no—
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)⋊C4—21no—
647C4⋊Dic47—21no—
648C4⋊Dic47—21no—
649C4⋊Dic47—21no—
650C4⋊Dic47—21no—
651C4⋊Dic47—21no—
652C4⋊Dic47—21no—
653C4⋊Dic47—21no—
654C4⋊Dic47C2411yescharacteristic
655C4⋊Dic47C2411yescharacteristic
656C4⋊Dic47C2411yescharacteristic
657C4⋊Dic47C2411yescharacteristic
658C4⋊Dic47C2411yescharacteristic
659C4⋊Dic47C2411yescharacteristic
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⋊C4—21no—
670Dic47⋊C4—21no—
671Dic47⋊C4—21no—
672Dic47⋊C4—21no—
673Dic47⋊C4—21no—
674Dic47⋊C4—21no—
675Dic47⋊C4—21no—
676C4×Dic47—21no—
677C4×Dic47—21no—
678C4×Dic47—21no—
679C4×Dic47—21no—
680C4×Dic47—21no—
681C4×Dic47—21no—
682Dic188—41no—
683Dic188—41no—
684Dic188—41no—
685D376—22no—
686D376—22no—
687D376—22no—
688D376—41no—
689D376—41no—
690D376—41no—
691D376—41no—
692D376—41no—
693D376—41no—
694#10625325—22no—
695#10625325—22no—
696#10625325—22no—
697#10625325—41no—
698#10625325—41no—
699#10625325—41no—
700#10625325—41no—
701#10625325—41no—
702#10625325—41no—
703#10625325—41no—
704#10625325—41no—
705#10625325—41no—
706C23×C47C22×D411yescharacteristic
707C23×C47C22×D411yescharacteristic
708C23×C47C22×D411yescharacteristic
709C22×D47—21no—
710C22×D47—21no—
711C22×D47—21no—
712C22×D47—21no—
713C22×D47—21no—
714C22×D47—21no—
715C22×D47—42no—
716C22×D47—42no—
717C22×D47—42no—
718C22×D47—81no—
719C22×D47—81no—
720C22×D47—81no—
721C22×D47—81no—
722C22×D47—81no—
723C22×D47—81no—
724Q8×C47—41no—
725D4×C47—41no—
726D4×C47—41no—
727D4×C47—41no—
728C2×C4×C47—21no—
729C2×C4×C47—21no—
730C2×C4×C47—21no—
731C2×C4×C47—21no—
732C2×C4×C47—21no—
733C2×C4×C47—21no—
734C2×C4×C47—41no—
735C2×C4×C47—41no—
736C2×C4×C47C22×D411yescharacteristic
737C2×C4×C47C22×D411yescharacteristic
738C2×C4×C47C22×D411yescharacteristic
739C2×C4×C47C22×D411yescharacteristic
740C2×C4×C47C22×D411yescharacteristic
741C2×C4×C47C22×D411yescharacteristic
742C2×C4×C47C22×D411yescharacteristic
743C2×C4×C47C22×D411yescharacteristic
744C2×C4×C47C22×D411yescharacteristic
745C2×C4×C47C22×D411yescharacteristic
746C2×C4×C47C22×D411yescharacteristic
747C2×C4×C47C2511yescharacteristic
748C22⋊D47—42no—
749C22⋊D47—42no—
750C22⋊D47—81no—
751C22⋊D47—81no—
752C22⋊D47—81no—
753C22⋊D47—81no—
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—21no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—21no—
770C2×Dic47—42no—
771C2×Dic47—81no—
772C2×Dic47—81no—
773D188—21no—
774D188—21no—
775D188—21no—
776D188—21no—
777D188—21no—
778D188—21no—
779D188—21no—
780D188—21no—
781D188—21no—
782D188—21no—
783D188—21no—
784D188—42no—
785D188—42no—
786D188—81no—
787D188—81no—
788D188—81no—
789D188—81no—
790D188—81no—
791D188—81no—
792D188—81no—
793D188H(5,𝔽2)12yes—
794C4×D47—42no—
795C4×D47—81no—
796C4×D47—81no—
797C4×D47—81no—
798C4×D47—81no—
799C4×D47—81no—
800C4×D47—81no—
801C4×D47—81no—
802C4×D47—81no—
803C4×D47—81no—
804C4×D47—81no—
805C4×D47—81no—
806C4×D47—81no—
807C4×D47—81no—
808C4×D47—81no—
809C4×D47—81no—
810Dic94—21no—
811Dic94—21no—
812Dic94—21no—
813Dic94—21no—
814Dic94—21no—
815Dic94—21no—
816Dic94—21no—
817Dic94—21no—
818Dic94—81no—
819Dic94—81no—
820C8×C47—21no—
821C8×C47—21no—
822C8×C47—21no—
823C8×C47—21no—
824C8×C47—21no—
825C8×C47—21no—
826C8×C47—21no—
827C8×C47—21no—
828#62027—471nomaximal, Sylow
829C22×C47—21no—
830C22×C47—21no—
831C22×C47—21no—
832C22×C47—21no—
833C22×C47—21no—
834C22×C47—21no—
835C22×C47—21no—
836C22×C47—21no—
837C22×C47—21no—
838C22×C47C23×D411yescharacteristic
839C2×D47—22no—
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—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—84no—
858C2×D47—162no—
859C2×D47—162no—
860C4×C47—21no—
861C4×C47—21no—
862C4×C47—21no—
863C4×C47—21no—
864C4×C47—21no—
865C4×C47—21no—
866C4×C47—21no—
867C4×C47—21no—
868C4×C47—21no—
869C4×C47—21no—
870C4×C47—21no—
871C4×C47C2×H(5,𝔽2)11yescharacteristic
872C4×C47#58511yescharacteristic
873Dic47—41no—
874Dic47—41no—
875Dic47—41no—
876Dic47—41no—
877Dic47—41no—
878Dic47—41no—
879Dic47—41no—
880Dic47—41no—
881Dic47—41no—
882Dic47—41no—
883#3562—471no—
884#3513—471no—
885#3401—471no—
886#3396—471no—
887#3370—471no—
888#3360—471no—
889#3330—471no—
890#3327—471no—
891#3326—471no—
892#3317—471no—
893#3306—471no—
894#3297—471no—
895#3282—471no—
896#3274—471no—
897#3273—471no—
898#3273—471no—
899#3267—471no—
900#3265—471no—
901#3260—471no—
902#3257—471no—
903#3256—471no—
904#3225—471no—
905#3220—471no—
906#3212—471no—
907#3122—471no—
908#3120—471no—
909#3105—471no—
910#3045—471no—
911#3042—471no—
912#3036—471no—
913#2993D4711yescharacteristic, complemented
914C2×C47—41no—
915C2×C47—41no—
916C2×C47—41no—
917C2×C47#348811yescharacteristic
918C2×C47#358411yescharacteristic
919C2×C47#358511yescharacteristic
920D47—42no—
921D47—81no—
922D47—81no—
923D47—81no—
924D47—81no—
925D47—81no—
926C2×AGL(1,ℤ/8)—471no—
927C2×AGL(1,ℤ/8)—471no—
928C2×AGL(1,ℤ/8)—471no—
929C2×AGL(1,ℤ/8)—471no—
930C2×#135—471no—
931C22×SD16—471no—
932#562—941no—
933#560—941no—
934#559—471no—
935#559—471no—
936#556—471no—
937#554—471no—
938#553—471no—
939#553—941no—
940#553—941no—
941#552—471no—
942#551—941no—
943#551—941no—
944#551—941no—
945#550—471no—
946#548—471no—
947#548—471no—
948#547—471no—
949#547—471no—
950#546—471no—
951#546—471no—
952#546—471no—
953#546—471no—
954#546—941no—
955D42—471no—
956#542—471no—
957#541—471no—
958#540—471no—
959#540—471no—
960#540—941no—
961#539—941no—
962#539—941no—
963#538—941no—
964#538—941no—
965#538—941no—
966#536—471no—
967#535—471no—
968#532—471no—
969#529—471no—
970#529—471no—
971#529C2×D4711yescharacteristic
972#525—941no—
973C2×#123—941no—
974#520—471no—
975#518—471no—
976C2×C4×D4—471no—
977#497—471no—
978#496—471no—
979#495—471no—
980#495—471no—
981#495—471no—
982#493—471no—
983#490—471no—
984#489—471no—
985#488—471no—
986#488—471no—
987#488—471no—
988#487—471no—
989#484—471no—
990#484—471no—
991#483—471no—
992#482—471no—
993#482—471no—
994#481—471no—
995#479—471no—
996#479—471no—
997#479—471no—
998#479—471no—
999#478—471no—
1000#478—471no—
1001#478—471no—
1002#478—471no—
1003#476—471no—
1004#474—471no—
1005#470—471no—
1006#469—471no—
1007#469—471no—
1008#468—471no—
1009#468—471no—
1010#468—471no—
1011#468—471no—
1012#468—471no—
1013#466—471no—
1014#465—471no—
1015#465—471no—
1016#465—471no—
1017#464—471no—
1018#464—471no—
1019#464—471no—
1020#463—471no—
1021#463—471no—
1022#463—471no—
1023#463—471no—
1024#463—471no—
1025#463—471no—
1026#463—471no—
1027#463—471no—
1028#463—471no—
1029#463—471no—
1030#463—471no—
1031#463—471no—
1032#463—471no—
1033#462—471no—
1034#461—471no—
1035#461—471no—
1036#461—471no—
1037#461—471no—
1038#461—471no—
1039#460—471no—
1040#460—471no—
1041#460—471no—
1042#460—471no—
1043#459—471no—
1044#459—471no—
1045#459—471no—
1046#459—471no—
1047#452—471no—
1048#452—471no—
1049#452—471no—
1050#452—471no—
1051#452—471no—
1052#451—471no—
1053#450—471no—
1054#449—471no—
1055#449—471no—
1056#449—471no—
1057#449—471no—
1058#449—471no—
1059#448—471no—
1060#447—471no—
1061#447—471no—
1062#447—471no—
1063#447—471no—
1064#447—471no—
1065#446C2×D4711yescharacteristic, complemented
1066C8×Q8C2×D4711yescharacteristic, complemented
1067#442—471no—
1068#442—471no—
1069#441—471no—
1070#440—471no—
1071C4×Q16—471no—
1072C4×SD16—471no—
1073C4×SD16—471no—
1074C4×SD16—471no—
1075C4×D8—471no—
1076C4×D8—471no—
1077C4×D8—471no—
1078C4×D8—471no—
1079#436C2×D4711yescharacteristic, complemented
1080#436C2×D4711yescharacteristic, complemented
1081#436C2×D4711yescharacteristic, complemented
1082#435C2×D4711yescharacteristic, complemented
1083#435C2×D4711yescharacteristic, complemented
1084C8×D4C2×D4711yescharacteristic, complemented
1085#433C2×D4711yescharacteristic, complemented
1086#433C2×D4711yescharacteristic, complemented
1087#431C2×D4711yescharacteristic, complemented
1088#424C2×D4711yescharacteristic, complemented
1089#424C2×D4711yescharacteristic, complemented
1090#423C2×D4711yescharacteristic, complemented
1091#419—471no—
1092#417—471no—
1093#417—471no—
1094#417—471no—
1095#416—471no—
1096C2×#102—471no—
1097C47#6202711yescharacteristic, complemented, Sylow
1098C2×#41—471no—
1099C2×#41—471no—
1100C2×#41—471no—
1101C2×#41—471no—
1102C2×#41—471no—
1103C2×#41—941no—
1104C22×Q8—471no—
1105C22×D4—471no—
1106C22×D4—471no—
1107C22×D4—471no—
1108C22×D4—941no—
1109C23×C4—941no—
1110AGL(1,ℤ/8)—1882no—
1111AGL(1,ℤ/8)—1882no—
1112AGL(1,ℤ/8)—1882no—
1113AGL(1,ℤ/8)—1882no—
1114#135—1882no—
1115C2×Q16—471no—
1116C2×Q16—471no—
1117C2×Q16—471no—
1118C2×SD16—471no—
1119C2×SD16—471no—
1120C2×SD16—471no—
1121C2×SD16—471no—
1122C2×SD16—471no—
1123C2×SD16—471no—
1124C2×SD16—471no—
1125C2×SD16—471no—
1126C2×SD16—471no—
1127C2×SD16—471no—
1128C2×SD16—471no—
1129C2×SD16—471no—
1130C2×SD16—1882no—
1131C2×D8—471no—
1132C2×D8—471no—
1133C2×D8—471no—
1134C2×D8—471no—
1135C2×D8—471no—
1136C2×D8—471no—
1137C2×D8—471no—
1138C2×D8—471no—
1139C2×D8—471no—
1140C2×M16C22×D4711yescharacteristic
1141C2×M16C22×D4711yescharacteristic
1142C2×M16C22×D4711yescharacteristic
1143C2×M16C22×D4711yescharacteristic
1144C22×C8C22×D4711yescharacteristic
1145C22×C8C22×D4711yescharacteristic
1146C4⋊Q8—471no—
1147C4⋊Q8—471no—
1148C4⋊Q8—471no—
1149#127—471no—
1150#127—471no—
1151#127—471no—
1152#127—941no—
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#126D18811yescharacteristic
1163#126D18811yescharacteristic
1164#125—471no—
1165#125—471no—
1166#125—471no—
1167#125—941no—
1168#125—941no—
1169#125—941no—
1170#125D18811yescharacteristic
1171#124—471no—
1172#124—471no—
1173#124—471no—
1174#124—471no—
1175#124—471no—
1176#124—471no—
1177#124—471no—
1178#124—941no—
1179#124—941no—
1180#124—941no—
1181#124—941no—
1182#124—941no—
1183#124D18811yescharacteristic
1184#123—941no—
1185#123—941no—
1186#123—941no—
1187#123—941no—
1188#123—941no—
1189#123—941no—
1190#123—941no—
1191#123—941no—
1192#123—941no—
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—
1202#123—941no—
1203#123—941no—
1204#123—941no—
1205#123—941no—
1206#123—941no—
1207#123D18811yescharacteristic
1208#123D18811yescharacteristic
1209C22⋊Q8—471no—
1210C22⋊Q8—471no—
1211C22⋊Q8—471no—
1212C22⋊Q8—471no—
1213C22⋊Q8—471no—
1214C22⋊Q8—941no—
1215C22⋊Q8—941no—
1216C22⋊Q8—941no—
1217C22⋊Q8—941no—
1218C22⋊Q8—941no—
1219C22⋊Q8—941no—
1220C22⋊Q8—941no—
1221C22⋊Q8—941no—
1222C22⋊Q8—941no—
1223C22⋊Q8—941no—
1224C22⋊Q8D18811yescharacteristic
1225#121—471no—
1226#121—471no—
1227#121—471no—
1228#121—471no—
1229#121—471no—
1230#121—471no—
1231#121—471no—
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#121—941no—
1242#121—941no—
1243#121—941no—
1244#121—941no—
1245#121—941no—
1246#121—941no—
1247#121—941no—
1248#121—941no—
1249#121—941no—
1250#121—941no—
1251#121D18811yescharacteristic
1252#120—941no—
1253#120—941no—
1254#120—941no—
1255#120—941no—
1256#120—941no—
1257#120—941no—
1258#120—941no—
1259#120—941no—
1260C4×Q8—471no—
1261C4×Q8—471no—
1262C4×Q8—471no—
1263C4×Q8—471no—
1264C4×Q8—471no—
1265C4×Q8C22×D4711yescharacteristic
1266C4×D4—471no—
1267C4×D4—471no—
1268C4×D4—471no—
1269C4×D4—471no—
1270C4×D4—471no—
1271C4×D4—471no—
1272C4×D4—471no—
1273C4×D4—471no—
1274C4×D4—471no—
1275C4×D4—471no—
1276C4×D4—471no—
1277C4×D4—941no—
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×D4—941no—
1289C4×D4—941no—
1290C4×D4—941no—
1291C4×D4—941no—
1292C4×D4—941no—
1293C4×D4C22×D4711yescharacteristic
1294C4×D4C22×D4711yescharacteristic
1295C4×D4C22×D4711yescharacteristic
1296#117—471no—
1297#117—941no—
1298#117—941no—
1299#117—941no—
1300#117—941no—
1301#117—941no—
1302#117C22×D4711yescharacteristic
1303#117C22×D4711yescharacteristic
1304C2×C4⋊C4—471no—
1305C2×C4⋊C4—471no—
1306C2×C4⋊C4—941no—
1307C2×C4⋊C4—941no—
1308C2×C4⋊C4—941no—
1309C2×C22⋊C4—941no—
1310C2×C22⋊C4—941no—
1311C2×C22⋊C4—941no—
1312C2×C22⋊C4—941no—
1313C2×C22⋊C4—941no—
1314C2×C22⋊C4—941no—
1315C2×C22⋊C4—941no—
1316C2×C42C22×D4711yescharacteristic
1317#107—471no—
1318#107—471no—
1319#107—471no—
1320#107—471no—
1321#106—471no—
1322#106—471no—
1323#106—471no—
1324#106—471no—
1325C4⋊C8C22×D4711yescharacteristic
1326C4⋊C8C22×D4711yescharacteristic
1327C4⋊C8C22×D4711yescharacteristic
1328C4⋊C8C22×D4711yescharacteristic
1329C4⋊C8C22×D4711yescharacteristic
1330C4⋊C8C22×D4711yescharacteristic
1331C4⋊C8C22×D4711yescharacteristic
1332C4⋊C8C22×D4711yescharacteristic
1333C4⋊C8C22×D4711yescharacteristic
1334C4⋊C8C22×D4711yescharacteristic
1335#103—471no—
1336#103—471no—
1337#103—471no—
1338#103—471no—
1339#103—471no—
1340#103—471no—
1341#103—471no—
1342#103—471no—
1343#103—471no—
1344#103—471no—
1345#103—471no—
1346#103—471no—
1347#103—471no—
1348#103—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#102—471no—
1358#102—471no—
1359#102—471no—
1360#102—471no—
1361#102—471no—
1362#102—471no—
1363#102—471no—
1364#102—471no—
1365#102—471no—
1366#102—471no—
1367C22⋊C8C22×D4711yescharacteristic
1368C22⋊C8C22×D4711yescharacteristic
1369C22⋊C8C22×D4711yescharacteristic
1370C22⋊C8C22×D4711yescharacteristic
1371C22⋊C8C22×D4711yescharacteristic
1372C22⋊C8C22×D4711yescharacteristic
1373#97C22×D4711yescharacteristic
1374#97C22×D4711yescharacteristic
1375C4×C8C22×D4711yescharacteristic
1376C4×C8C22×D4711yescharacteristic
1377C4×C8C22×D4711yescharacteristic
1378C4×C8C22×D4711yescharacteristic
1379C24—941no—
1380C24—941no—
1381C24—941no—
1382#41—942no—
1383#41—3762no—
1384#41—1881no—
1385#41—1881no—
1386#41—1881no—
1387#41—1881no—
1388#41—1881no—
1389#41—1881no—
1390#41—1881no—
1391#41—1881no—
1392#41—1881no—
1393C2×Q8—471no—
1394C2×Q8—471no—
1395C2×Q8—471no—
1396C2×Q8—471no—
1397C2×Q8—941no—
1398C2×Q8—941no—
1399C2×Q8—1881no—
1400C2×Q8—1881no—
1401C2×Q8C2×D18811yescharacteristic
1402C2×D4—471no—
1403C2×D4—471no—
1404C2×D4—471no—
1405C2×D4—471no—
1406C2×D4—471no—
1407C2×D4—471no—
1408C2×D4—942no—
1409C2×D4—942no—
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—941no—
1426C2×D4—941no—
1427C2×D4—941no—
1428C2×D4—941no—
1429C2×D4—941no—
1430C2×D4—941no—
1431C2×D4—3762no—
1432C2×D4—1881no—
1433C2×D4—1881no—
1434C2×D4—1881no—
1435C2×D4—1881no—
1436C2×D4C2×D18811yescharacteristic
1437C2×D4C2×D18811yescharacteristic
1438C2×D4C2×D18811yescharacteristic
1439C22×C4—941no—
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×C4—941no—
1451C22×C4—941no—
1452C22×C4—941no—
1453C22×C4—941no—
1454C22×C4—941no—
1455C22×C4—941no—
1456C22×C4—941no—
1457C22×C4—941no—
1458C22×C4—3762no—
1459C22×C4C2×D18811yescharacteristic
1460C22×C4C2×D18811yescharacteristic
1461C22×C4C23×D4711yescharacteristic
1462C22×C4C23×D4711yescharacteristic
1463C22×C4C23×D4711yescharacteristic
1464Q16—1881no—
1465Q16—1881no—
1466Q16—1881no—
1467SD16—942no—
1468SD16—942no—
1469SD16—942no—
1470SD16—1881no—
1471SD16—1881no—
1472SD16—1881no—
1473SD16—1881no—
1474SD16—1881no—
1475SD16—1881no—
1476SD16—1881no—
1477SD16—1881no—
1478SD16—1881no—
1479D8—942no—
1480D8—942no—
1481D8—942no—
1482D8—1881no—
1483D8—1881no—
1484D8—1881no—
1485D8—1881no—
1486D8—1881no—
1487D8—1881no—
1488M16—41no—
1489M16—41no—
1490M16—41no—
1491M16—41no—
1492C2×C8—41no—
1493C2×C8—41no—
1494C2×C8C23×D4711yescharacteristic
1495C2×C8C23×D4711yescharacteristic
1496C2×C8C23×D4711yescharacteristic
1497C2×C8C23×D4711yescharacteristic
1498C2×C8C23×D4711yescharacteristic
1499C2×C8C23×D4711yescharacteristic
1500C2×C8C23×D4711yescharacteristic
1501C2×C8C23×D4711yescharacteristic
1502C4⋊C4—471no—
1503C4⋊C4—471no—
1504C4⋊C4—471no—
1505C4⋊C4—471no—
1506C4⋊C4—471no—
1507C4⋊C4—471no—
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⋊C4—941no—
1522C4⋊C4—941no—
1523C4⋊C4—941no—
1524C4⋊C4—941no—
1525C4⋊C4—941no—
1526C4⋊C4—941no—
1527C4⋊C4—941no—
1528C4⋊C4—941no—
1529C4⋊C4—941no—
1530C4⋊C4—941no—
1531C4⋊C4C2×D18811yescharacteristic
1532C4⋊C4C2×D18811yescharacteristic
1533C4⋊C4C2×D18811yescharacteristic
1534C4⋊C4C2×D18811yescharacteristic
1535C4⋊C4C2×D18811yescharacteristic
1536C4⋊C4C2×D18811yescharacteristic
1537C4⋊C4C2×D18811yescharacteristic
1538C4⋊C4C2×D18811yescharacteristic
1539C4⋊C4C2×D18811yescharacteristic
1540C4⋊C4C2×D18811yescharacteristic
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⋊C4—941no—
1573C22⋊C4—941no—
1574C22⋊C4—941no—
1575C22⋊C4—941no—
1576C22⋊C4—941no—
1577C22⋊C4—941no—
1578C22⋊C4—941no—
1579C22⋊C4C2×D18811yescharacteristic
1580C22⋊C4C2×D18811yescharacteristic
1581C22⋊C4C2×D18811yescharacteristic
1582C22⋊C4C2×D18811yescharacteristic
1583C22⋊C4C2×D18811yescharacteristic
1584C22⋊C4C2×D18811yescharacteristic
1585C22⋊C4C2×D18811yescharacteristic
1586C22⋊C4C2×D18811yescharacteristic
1587C22⋊C4C2×D18811yescharacteristic
1588C22⋊C4C2×D18811yescharacteristic
1589C42—941no—
1590C42—941no—
1591C42—941no—
1592C42—941no—
1593C42—941no—
1594C42—941no—
1595C42C2×D18811yescharacteristic
1596C42C2×D18811yescharacteristic
1597C42C23×D4711yescharacteristic
1598C42C23×D4711yescharacteristic
1599C42C23×D4711yescharacteristic
1600C42C23×D4711yescharacteristic
1601C23—941no—
1602C23—941no—
1603C23—941no—
1604C23—941no—
1605C23—941no—
1606C23—941no—
1607C23—3761no—
1608C23—3761no—
1609C23—3761no—
1610C23—3761no—
1611C23—3761no—
1612C23—3761no—
1613C23—1882no—
1614C23—1882no—
1615C23—1882no—
1616C23C22×D18811yescharacteristic
1617C23C22×D18811yescharacteristic
1618C23C22×D18811yescharacteristic
1619Q8—41no—
1620Q8—941no—
1621Q8—941no—
1622Q8—941no—
1623Q8—941no—
1624Q8—941no—
1625Q8—941no—
1626Q8—941no—
1627Q8—941no—
1628Q8—3761no—
1629Q8—3761no—
1630D4—41no—
1631D4—41no—
1632D4—41no—
1633D4—472no—
1634D4—941no—
1635D4—941no—
1636D4—941no—
1637D4—941no—
1638D4—941no—
1639D4—941no—
1640D4—941no—
1641D4—941no—
1642D4—941no—
1643D4—941no—
1644D4—941no—
1645D4—3761no—
1646D4—3761no—
1647D4—3761no—
1648D4—3761no—
1649D4—3761no—
1650D4—3761no—
1651D4—3761no—
1652D4—3761no—
1653D4—3761no—
1654D4—3761no—
1655D4—3761no—
1656D4—3761no—
1657D4—3761no—
1658D4—3761no—
1659D4—3761no—
1660D4—3761no—
1661D4—3761no—
1662D4—1882no—
1663D4—1882no—
1664D4—1882no—
1665D4—1882no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—941no—
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—3761no—
1691C2×C4—3761no—
1692C2×C4—3761no—
1693C2×C4—3761no—
1694C2×C4—3761no—
1695C2×C4—3761no—
1696C2×C4—3761no—
1697C2×C4—3761no—
1698C2×C4—3761no—
1699C2×C4—3761no—
1700C2×C4—3761no—
1701C2×C4—1882no—
1702C2×C4—1882no—
1703C2×C4C22×D18811yescharacteristic
1704C2×C4C22×D18811yescharacteristic
1705C2×C4C22×D18811yescharacteristic
1706C2×C4C22×D18811yescharacteristic
1707C2×C4C22×D18811yescharacteristic
1708C2×C4C22×D18811yescharacteristic
1709C2×C4C22×D18811yescharacteristic
1710C2×C4C22×D18811yescharacteristic
1711C2×C4C22×D18811yescharacteristic
1712C2×C4C22×D18811yescharacteristic
1713C2×C4C22×D18811yescharacteristic
1714C2×C4C24×D4711yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—21no—
1720C8—21no—
1721C8—21no—
1722C8—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—21no—
1732C22—942no—
1733C22—3764no—
1734C22—1881no—
1735C22—1881no—
1736C22—1881no—
1737C22—1881no—
1738C22—1881no—
1739C22—1881no—
1740C22—1881no—
1741C22—1881no—
1742C22—1881no—
1743C22—1881no—
1744C22—1881no—
1745C22—1881no—
1746C22—1881no—
1747C22—1881no—
1748C22—1881no—
1749C22—1881no—
1750C22—1881no—
1751C22—7522no—
1752C22—7522no—
1753C22C23×D18811yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—21no—
1764C4—21no—
1765C4—1881no—
1766C4—1881no—
1767C4—1881no—
1768C4—1881no—
1769C4—1881no—
1770C4—1881no—
1771C4—1881no—
1772C4—1881no—
1773C4—1881no—
1774C4—1881no—
1775C4H(5,𝔽2)×D4711yescharacteristic
1776C4#1568996011yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—41no—
1780C2—3761no—
1781C2—3761no—
1782C2—3761no—
1783C2—3761no—
1784C2—3761no—
1785C2—1882no—
1786C2#2025705811yescharacteristic
1787C2#2025816211yescharacteristic
1788C2#2025816911yescharacteristic
subgroupG/H
centerC22C23×D188
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#2993C2
socleC22×C47C23×D4
hypercenter#2993D47
hypocenterC47#62027
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #529 ◁ #2993

Complements

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

NH ≅ G/Ntype
1. #20257976C2semidirect
2. #20257332C2semidirect
3. #20256456C2semidirect
4. #20256401C2semidirect
5. #20256143C2semidirect
6. #20256039C2semidirect
7. #20255694C2semidirect
8. #20255658C2semidirect
9. #20255643C2semidirect
10. #20255516C2semidirect
11. #20255351C2semidirect
12. #20255240C2semidirect
13. #20255100C2semidirect
14. #20255010C2semidirect
15. #20255000C2semidirect
16. #20255000C2semidirect
17. #20254918C2semidirect
18. #20254888C2semidirect
19. #20254835C2semidirect
20. #20254801C2semidirect
21. #20254789C2semidirect
22. #20254499C2semidirect
23. #20254440C2semidirect
24. #20254366C2semidirect
25. #20253632C2semidirect
26. #20253604C2semidirect
27. #20253437C2semidirect
28. #20252929C2semidirect
29. #20252901C2semidirect
30. #20252854C2semidirect
31. C47×#2993C2semidirect
35. C2×#13094052C22semidirect
37. C22×#10625325C22semidirect
40. #15689858C22semidirect
41. #15689858C22semidirect
42. #15689846C22semidirect
43. #15689833C22semidirect
47. #15689813C22semidirect
53. #15689782C22semidirect
54. #15689778C22semidirect
58. #15689769C22semidirect
59. #15689769C22semidirect
61. D4×D188C22semidirect
62. #15689744C22semidirect
63. #15689735C22semidirect
65. #15689728C22semidirect
72. #15689699C22semidirect
73. #15689692C22semidirect
74. #15689673C22semidirect
75. #15689657C22semidirect
76. #15689657C22semidirect
80. #15689597C22semidirect
81. C2×C4×D188C22semidirect
82. #15689517C22semidirect
84. #15689507C22semidirect
85. #15689507C22semidirect
86. #15689507C22semidirect
88. #15689488C22semidirect
89. #15689483C22semidirect
90. #15689478C22semidirect
91. #15689478C22semidirect
92. #15689478C22semidirect
93. #15689474C22semidirect
94. #15689459C22semidirect
95. #15689459C22semidirect
96. #15689454C22semidirect
97. #15689448C22semidirect
98. #15689448C22semidirect
99. #15689442C22semidirect
100. #15689431C22semidirect
101. #15689431C22semidirect
102. #15689431C22semidirect
103. #15689431C22semidirect
104. #15689424C22semidirect
105. #15689424C22semidirect
106. #15689424C22semidirect
107. #15689424C22semidirect
108. #15689414C22semidirect
109. #15689404C22semidirect
110. #15689381C22semidirect
112. #15689376C22semidirect
113. #15689369C22semidirect
114. #15689369C22semidirect
115. #15689369C22semidirect
116. #15689369C22semidirect
117. #15689369C22semidirect
119. #15689352C22semidirect
120. #15689352C22semidirect
121. #15689352C22semidirect
122. #15689346C22semidirect
123. #15689346C22semidirect
124. #15689346C22semidirect
129. #15689339C22semidirect
130. #15689339C22semidirect
131. #15689339C22semidirect
132. #15689339C22semidirect
133. #15689339C22semidirect
134. #15689339C22semidirect
135. #15689339C22semidirect
136. #15689339C22semidirect
137. #15689339C22semidirect
138. #15689334C22semidirect
139. #15689329C22semidirect
140. #15689329C22semidirect
141. #15689329C22semidirect
142. #15689329C22semidirect
143. #15689329C22semidirect
144. #15689324C22semidirect
145. #15689324C22semidirect
146. #15689324C22semidirect
147. #15689324C22semidirect
150. #15689319C22semidirect
151. #15689319C22semidirect
154. #15689287C22semidirect
155. #15689287C22semidirect
156. #15689287C22semidirect
157. #15689281C22semidirect
158. #15689276C22semidirect
161. #15689270C22semidirect
162. #15689270C22semidirect
163. #15689270C22semidirect
164. #15689264C22semidirect
167. #15689259C22semidirect
168. #15689259C22semidirect
169. #15689259C22semidirect
170. #15689236C22semidirect
171. #15689236C22semidirect
172. #15689231C22semidirect
173. #15689225C22semidirect
174. C4×Dic188C22semidirect
175. C4×#10625325C22semidirect
176. C4×#10625325C22semidirect
177. C4×#10625325C22semidirect
180. C4×D376C22semidirect
181. C4×D376C22semidirect
182. #15689133C22semidirect
183. #15689125C22semidirect
184. #15689125C22semidirect
185. #15689125C22semidirect
186. #15689120C22semidirect
187. C2×#13093946C22semidirect
189. C47×#446C22semidirect
190. C8×Q8×C47C22semidirect
191. C47×#436C22semidirect
192. C47×#436C22semidirect
193. C47×#436C22semidirect
194. C47×#435C22semidirect
195. C47×#435C22semidirect
196. C8×D4×C47C22semidirect
197. C47×#433C22semidirect
198. C47×#433C22semidirect
199. C47×#431C22semidirect
200. C47×#424C22semidirect
201. C47×#424C22semidirect
202. C47×#423C22semidirect
913. #2993D47semidirect
1065. #446C2×D47semidirect
1066. C8×Q8C2×D47semidirect
1079. #436C2×D47semidirect
1080. #436C2×D47semidirect
1081. #436C2×D47semidirect
1082. #435C2×D47semidirect
1083. #435C2×D47semidirect
1084. C8×D4C2×D47semidirect
1085. #433C2×D47semidirect
1086. #433C2×D47semidirect
1087. #431C2×D47semidirect
1088. #424C2×D47semidirect
1089. #424C2×D47semidirect
1090. #423C2×D47semidirect
1097. C47#62027semidirect

Maximal subgroups

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

subgroupindex
#202579762
#202573322
#202564562
#202564012
#202561432
#202560392
#202556942
#202556582
#202556432
#202555162
#202553512
#202552402
#202551002
#202550102
#202550002
#202549182
#202548882
#202548352
#202548012
#202547892
#202544992
#202544402
#202543662
#202536322
#202536042
#202534372
#202529292
#202529012
#202528542
C47×#29932
#6202747