Finite Group Databasebeta

← #27102001

Subgroups — #27102001

Order 12032.

2044 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257042C211yesmaximal, characteristic, complemented
2#20255720C211yesmaximal, characteristic, complemented
3#20255635C211yesmaximal, characteristic, complemented
4#20255508C211yesmaximal, characteristic, complemented
5#20255493C211yesmaximal, characteristic, complemented
6#20255448C211yesmaximal, characteristic, complemented
7#20255388C211yesmaximal, characteristic, complemented
8#20255321C211yesmaximal, characteristic, complemented
9#20255269C211yesmaximal, characteristic, complemented
10#20255125C211yesmaximal, characteristic, complemented
11#20255114C211yesmaximal, characteristic, complemented
12#20255050C211yesmaximal, characteristic, complemented
13#20255041C211yesmaximal, characteristic, complemented
14#20254974C211yesmaximal, characteristic, complemented
15#20254974C211yesmaximal, characteristic, complemented
16#20254959C211yesmaximal, characteristic, complemented
17#20254939C211yesmaximal, characteristic, complemented
18#20254476C211yesmaximal, characteristic, complemented
19#20254454C211yesmaximal, characteristic, complemented
20#20254255C211yesmaximal, characteristic, complemented
21#20254234C211yesmaximal, characteristic, complemented
22#20254225C211yesmaximal, characteristic, complemented
23#20254169C211yesmaximal, characteristic, complemented
24#20253683C211yesmaximal, characteristic, complemented
25#20253611C211yesmaximal, characteristic, complemented
26#20252700C211yesmaximal, characteristic, complemented
27#20252681C211yesmaximal, characteristic, complemented
28#20252646C211yesmaximal, characteristic, complemented
29#20252604C211yesmaximal, characteristic, complemented
30#20252436C211yesmaximal, characteristic, complemented
31C47×#3541C211yesmaximal, characteristic, complemented
32C2×#13094071C2211yescharacteristic
33C22×#10625350C2211yescharacteristic
34C2×#13094055C2211yescharacteristic
35C2×#13094055C2211yescharacteristic
36C2×#13094055C2211yescharacteristic, complemented
37C2×#13094054C2211yescharacteristic, complemented
38C2×#13094044C2211yescharacteristic
39C2×#13094044C2211yescharacteristic
40C2×#13094044C2211yescharacteristic, complemented
41C22×#10625337C2211yescharacteristic, complemented
42#15689794C2211yescharacteristic
43#15689794C2211yescharacteristic
44#15689794C2211yescharacteristic
45#15689794C2211yescharacteristic
46#15689791—21no—
47#15689791—21no—
48#15689783—21no—
49#15689783—21no—
50#15689782C2211yescharacteristic
51#15689782C2211yescharacteristic
52#15689782C2211yescharacteristic
53#15689782C2211yescharacteristic
54#15689692C2211yescharacteristic
55#15689688—21no—
56#15689688—21no—
57#15689687C2211yescharacteristic
58#15689634C2211yescharacteristic
59#15689631—21no—
60#15689631—21no—
61#15689600C2211yescharacteristic
62#15689515C2211yescharacteristic, complemented
63#15689513C2211yescharacteristic, complemented
64#15689505C2211yescharacteristic, complemented
65#15689497C2211yescharacteristic, complemented
66#15689489C2211yescharacteristic, complemented
67#15689485C2211yescharacteristic, complemented
68#15689480C2211yescharacteristic, complemented
69#15689471C2211yescharacteristic, complemented
70#15689464C2211yescharacteristic, complemented
71#15689461C2211yescharacteristic
72#15689461C2211yescharacteristic
73#15689461C2211yescharacteristic
74#15689453C2211yescharacteristic, complemented
75#15689447C2211yescharacteristic, complemented
76#15689447C2211yescharacteristic, complemented
77#15689447C2211yescharacteristic, complemented
78#15689444C2211yescharacteristic
79#15689441C2211yescharacteristic, complemented
80#15689436C2211yescharacteristic, complemented
81#15689436C2211yescharacteristic, complemented
82#15689427C2211yescharacteristic, complemented
83#15689427C2211yescharacteristic, complemented
84#15689415C2211yescharacteristic, complemented
85#15689405C2211yescharacteristic, complemented
86#15689379C2211yescharacteristic, complemented
87#15689374C2211yescharacteristic, complemented
88#15689374C2211yescharacteristic, complemented
89#15689371C2211yescharacteristic, complemented
90#15689371C2211yescharacteristic, complemented
91#15689371C2211yescharacteristic, complemented
92#15689371C2211yescharacteristic, complemented
93#15689367C2211yescharacteristic, complemented
94#15689362C2211yescharacteristic, complemented
95#15689362C2211yescharacteristic, complemented
96#15689357C2211yescharacteristic, complemented
97#15689354C2211yescharacteristic, complemented
98#15689354C2211yescharacteristic, complemented
99#15689354C2211yescharacteristic, complemented
100#15689354C2211yescharacteristic, complemented
101#15689354C2211yescharacteristic, complemented
102#15689345C2211yescharacteristic, complemented
103#15689345C2211yescharacteristic, complemented
104#15689345C2211yescharacteristic, complemented
105#15689342C2211yescharacteristic, complemented
106#15689342C2211yescharacteristic, complemented
107#15689338C2211yescharacteristic, complemented
108#15689330C2211yescharacteristic, complemented
109#15689330C2211yescharacteristic, complemented
110#15689323C2211yescharacteristic, complemented
111#15689323C2211yescharacteristic, complemented
112#15689323C2211yescharacteristic, complemented
113#15689318C2211yescharacteristic, complemented
114#15689285C2211yescharacteristic, complemented
115#15689283C2211yescharacteristic
116#15689283C2211yescharacteristic
117#15689283C2211yescharacteristic
118#15689283C2211yescharacteristic
119#15689283C2211yescharacteristic
120#15689283C2211yescharacteristic
121#15689283C2211yescharacteristic
122#15689283C2211yescharacteristic
123#15689283C2211yescharacteristic
124#15689283C2211yescharacteristic, complemented
125#15689283C2211yescharacteristic, complemented
126#15689283C2211yescharacteristic, complemented
127#15689279C2211yescharacteristic, complemented
128#15689278C2211yescharacteristic
129#15689278C2211yescharacteristic
130#15689278C2211yescharacteristic
131#15689278C2211yescharacteristic, complemented
132#15689278C2211yescharacteristic, complemented
133#15689278C2211yescharacteristic, complemented
134#15689273C2211yescharacteristic
135#15689273C2211yescharacteristic
136#15689273C2211yescharacteristic
137#15689268C2211yescharacteristic, complemented
138#15689268C2211yescharacteristic, complemented
139#15689268C2211yescharacteristic, complemented
140#15689266C2211yescharacteristic
141#15689266C2211yescharacteristic
142#15689266C2211yescharacteristic
143#15689266C2211yescharacteristic, complemented
144#15689262C2211yescharacteristic, complemented
145#15689262C2211yescharacteristic, complemented
146#15689262C2211yescharacteristic, complemented
147#15689261C2211yescharacteristic
148#15689261C2211yescharacteristic, complemented
149#15689256C2211yescharacteristic
150#15689228C2211yescharacteristic, complemented
151#15689228C2211yescharacteristic, complemented
152#15689228C2211yescharacteristic, complemented
153#15689223C2211yescharacteristic, complemented
154C4×#10625337C2211yescharacteristic, complemented
155C4×#10625337C2211yescharacteristic, complemented
156C4×#10625337C2211yescharacteristic, complemented
157C4×#10625335C2211yescharacteristic, complemented
158#15689201C2211yescharacteristic, complemented
159#15689201C2211yescharacteristic, complemented
160#15689195C2211yescharacteristic, complemented
161#15689195C2211yescharacteristic, complemented
162#15689195C2211yescharacteristic, complemented
163#15689195C2211yescharacteristic, complemented
164D4×C47⋊C8C2211yescharacteristic, complemented
165D4×C47⋊C8C2211yescharacteristic, complemented
166#15689184C2211yescharacteristic
167#15689184C2211yescharacteristic
168#15689131C2211yescharacteristic, complemented
169#15689122C2211yescharacteristic
170#15689122C2211yescharacteristic
171#15689122C2211yescharacteristic, complemented
172#15689117C2211yescharacteristic
173#15689117C2211yescharacteristic
174#15689117C2211yescharacteristic, complemented
175C2×#13093947C2211yescharacteristic, complemented
176#15689090C2211yescharacteristic
177#15689090C2211yescharacteristic
178#15689087C2211yescharacteristic
179C2×C22⋊(C47⋊C8)C2211yescharacteristic
180C47×#563—21no—
181C47×#562—21no—
182C47×#556C2211yescharacteristic, complemented
183C47×#554—21no—
184C47×#554C2211yescharacteristic, complemented
185C47×#553—21no—
186C47×#553C2211yescharacteristic, complemented
187C47×#552C2211yescharacteristic, complemented
188D4×Q8×C47C2211yescharacteristic, complemented
189C47×#548C2211yescharacteristic, complemented
190C47×#548C2211yescharacteristic, complemented
191C47×#547C2211yescharacteristic, complemented
192C47×#542—21no—
193C47×#542C2211yescharacteristic
194C47×#541C2211yescharacteristic
195C47×#539—21no—
196C47×#538—21no—
197C47×#538—21no—
198C47×#537C2211yescharacteristic
199C47×#536C2211yescharacteristic
200C47×#525C2211yescharacteristic
201C47×#525C2211yescharacteristic
202C2×C22⋊Q8×C47C2211yescharacteristic
203#13094071—42no—
204#13094071—42no—
205C2×#10625350—21no—
206C2×#10625350—21no—
207C2×#10625350—42no—
208C2×#10625350—42no—
209C2×#10625350C2311yescharacteristic
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625350C2311yescharacteristic
214C2×#10625350C2311yescharacteristic
215C2×#10625350C2311yescharacteristic
216C2×#10625352—21no—
217C2×#10625352—21no—
218C2×#10625352—21no—
219C22×Dic94C2311yescharacteristic
220C22×Dic94C2311yescharacteristic
221C22×Dic94C2311yescharacteristic
222C2×Q8×D47—21no—
223C22×D188C2311yescharacteristic
224C22×C22⋊D47—21no—
225C22×C4×D47—21no—
226#13094055—42no—
227#13094055—42no—
228#13094055—42no—
229#13094054—42no—
230#13094044—42no—
231#13094044—42no—
232#13094044—42no—
233C2×#10625337—42no—
234C2×#10625337C2311yescharacteristic
235C2×#10625337C2311yescharacteristic
236C2×#10625337C2311yescharacteristic
237C2×#10625337C2311yescharacteristic
238C2×#10625337C2311yescharacteristic
239C2×#10625337C2311yescharacteristic
240C2×#10625337C2311yescharacteristic
241C2×#10625337C2311yescharacteristic
242C2×#10625337C2311yescharacteristic
243C2×#10625335C2311yescharacteristic
244C2×#10625335C2311yescharacteristic
245C2×#10625335C2311yescharacteristic
246C2×#10625336C2311yescharacteristic
247C2×#10625336C2311yescharacteristic
248C2×#10625336C2311yescharacteristic
249C2×#10625336C2311yescharacteristic
250C2×#10625336C2311yescharacteristic
251C2×#10625336C2311yescharacteristic
252C2×#10625336C2311yescharacteristic
253C2×#10625336C2311yescharacteristic
254C2×#10625336C2311yescharacteristic
255C2×#10625334C2311yescharacteristic
256C2×#10625334C2311yescharacteristic
257C2×#10625334C2311yescharacteristic
258C2×#10625329C2311yescharacteristic
259C2×#10625329C2311yescharacteristic
260C2×#10625329C2311yescharacteristic
261C2×#10625329C2311yescharacteristic
262C22×C47⋊C8C2311yescharacteristic
263C22×C47⋊C8C2311yescharacteristic
264C22×C47⋊C8C2311yescharacteristic
265C22×C47⋊C8C2311yescharacteristic
266#13094021C2311yescharacteristic
267#13094021C2311yescharacteristic
268#13094020—21no—
269#13094020—21no—
270#13094020—21no—
271#13094020—21no—
272#13094020—21no—
273#13094013—21no—
274#13094012C2311yescharacteristic
275#13094012C2311yescharacteristic
276#13094010—21no—
277#13094010—21no—
278#13094010—21no—
279#13094010—21no—
280#13094007—21no—
281#13094003C2311yescharacteristic
282#13094003C2311yescharacteristic
283#13094002—21no—
284#13094002—21no—
285#13094002—21no—
286#13094002—21no—
287#13093999—21no—
288#13093999—21no—
289#13093998C2311yescharacteristic
290#13093998C2311yescharacteristic
291#13093998C2311yescharacteristic
292#13093998C2311yescharacteristic
293#13093998C2311yescharacteristic
294#13093998C2311yescharacteristic
295#13093997—21no—
296#13093997—21no—
297#13093997—21no—
298#13093997—21no—
299#13093997—21no—
300#13093997—21no—
301#13093997—21no—
302#13093997—21no—
303#13093996—21no—
304#13093996—21no—
305#13093996—21no—
306#13093996—21no—
307#13093994—21no—
308#13093994—21no—
309#13093993—21no—
310#13093992—21no—
311#13093992—21no—
312C4×Dic94C2311yescharacteristic
313C4×Dic94C2311yescharacteristic
314C4×Dic94C2311yescharacteristic
315C4×Dic94C2311yescharacteristic
316#13093989—21no—
317#13093989—21no—
318#13093986—21no—
319#13093986—21no—
320#13093986—21no—
321#13093986—21no—
322C4×C22⋊D47—21no—
323C4×C22⋊D47—21no—
324(C22⋊D47)⋊C4—21no—
325(C22⋊D47)⋊C4—21no—
326(C22⋊D47)⋊C4—21no—
327(C22⋊D47)⋊C4—21no—
328#13093983C2311yescharacteristic
329#13093980—21no—
330#13093980—21no—
331#13093957C2311yescharacteristic
332#13093957C2311yescharacteristic
333#13093957C2311yescharacteristic
334#13093957C2311yescharacteristic
335#13093955C2311yescharacteristic
336#13093955C2311yescharacteristic
337#13093955C2311yescharacteristic
338#13093955C2311yescharacteristic
339C4⋊(C47⋊C8)C2311yescharacteristic
340C4⋊(C47⋊C8)C2311yescharacteristic
341C4⋊(C47⋊C8)C2311yescharacteristic
342C4⋊(C47⋊C8)C2311yescharacteristic
343#13093948C2311yescharacteristic
344#13093948C2311yescharacteristic
345#13093948C2311yescharacteristic
346#13093948C2311yescharacteristic
347#13093948C2311yescharacteristic
348#13093948C2311yescharacteristic
349#13093947C2311yescharacteristic
350#13093947C2311yescharacteristic
351#13093947C2311yescharacteristic
352#13093947C2311yescharacteristic
353#13093947C2311yescharacteristic
354#13093947C2311yescharacteristic
355#13093947C2311yescharacteristic
356#13093947C2311yescharacteristic
357#13093947C2311yescharacteristic
358#13093947C2311yescharacteristic
359#13093947C2311yescharacteristic
360#13093947C2311yescharacteristic
361#13093945C2311yescharacteristic
362#13093945C2311yescharacteristic
363#13093944C2311yescharacteristic
364#13093944C2311yescharacteristic
365#13093944C2311yescharacteristic
366#13093944C2311yescharacteristic
367#13093944C2311yescharacteristic
368#13093944C2311yescharacteristic
369#13093944C2311yescharacteristic
370#13093944C2311yescharacteristic
371#13093944C2311yescharacteristic
372#13093944C2311yescharacteristic
373#13093944C2311yescharacteristic
374#13093944C2311yescharacteristic
375C22⋊(C47⋊C8)C2311yescharacteristic
376C22⋊(C47⋊C8)C2311yescharacteristic
377C22⋊(C47⋊C8)C2311yescharacteristic
378C22⋊(C47⋊C8)C2311yescharacteristic
379C22⋊(C47⋊C8)C2311yescharacteristic
380C22⋊(C47⋊C8)C2311yescharacteristic
381C22⋊(C47⋊C8)C2311yescharacteristic
382C22⋊(C47⋊C8)C2311yescharacteristic
383C22⋊(C47⋊C8)C2311yescharacteristic
384C22⋊(C47⋊C8)C2311yescharacteristic
385C22⋊(C47⋊C8)C2311yescharacteristic
386C22⋊(C47⋊C8)C2311yescharacteristic
387#13093935C2311yescharacteristic
388#13093935C2311yescharacteristic
389C4×C47⋊C8C2311yescharacteristic
390C4×C47⋊C8C2311yescharacteristic
391C2×#41×C47C2311yescharacteristic
392C2×#41×C47C2311yescharacteristic
393C2×#41×C47C2311yescharacteristic
394C22×Q8×C47C2311yescharacteristic
395C22×Q8×C47C2311yescharacteristic
396C23×C4×C47C2311yescharacteristic
397C4⋊Q8×C47—21no—
398C4⋊Q8×C47—21no—
399C4⋊Q8×C47C2311yescharacteristic
400C4⋊Q8×C47C2311yescharacteristic
401#126×C47—21no—
402#126×C47—21no—
403#126×C47—21no—
404#126×C47—21no—
405#126×C47—21no—
406#126×C47—21no—
407#126×C47—21no—
408#125×C47—21no—
409#125×C47—21no—
410#125×C47—21no—
411#125×C47—21no—
412#125×C47C2311yescharacteristic
413#124×C47—21no—
414#124×C47—21no—
415#124×C47—21no—
416#124×C47—21no—
417#124×C47—21no—
418#124×C47C2311yescharacteristic
419#123×C47—21no—
420#123×C47—21no—
421#123×C47—21no—
422#123×C47—21no—
423#123×C47—21no—
424#123×C47—21no—
425#123×C47—21no—
426#123×C47—21no—
427#123×C47D411yescharacteristic
428#123×C47D411yescharacteristic
429C22⋊Q8×C47—21no—
430C22⋊Q8×C47—21no—
431C22⋊Q8×C47—21no—
432C22⋊Q8×C47—21no—
433C22⋊Q8×C47—21no—
434C22⋊Q8×C47—21no—
435C22⋊Q8×C47—21no—
436C22⋊Q8×C47—21no—
437C22⋊Q8×C47—21no—
438C22⋊Q8×C47—21no—
439C22⋊Q8×C47D411yescharacteristic
440C22⋊Q8×C47D411yescharacteristic
441C22⋊Q8×C47C2311yescharacteristic
442C22⋊Q8×C47C2311yescharacteristic
443C22⋊Q8×C47C2311yescharacteristic
444C22⋊Q8×C47C2311yescharacteristic
445C22⋊Q8×C47C2311yescharacteristic
446C22⋊Q8×C47C2311yescharacteristic
447C22⋊Q8×C47C2311yescharacteristic
448C22⋊Q8×C47C2311yescharacteristic
449C22⋊Q8×C47C2311yescharacteristic
450#121×C47—21no—
451#121×C47—21no—
452#121×C47—21no—
453#121×C47—21no—
454#121×C47—21no—
455#121×C47—21no—
456#121×C47—21no—
457#121×C47D411yescharacteristic
458#121×C47D411yescharacteristic
459#121×C47C2311yescharacteristic
460#121×C47C2311yescharacteristic
461#121×C47C2311yescharacteristic
462#120×C47—21no—
463#120×C47D411yescharacteristic
464#120×C47D411yescharacteristic
465C4×Q8×C47—21no—
466C4×Q8×C47C2311yescharacteristic
467C4×Q8×C47C2311yescharacteristic
468C4×Q8×C47C2311yescharacteristic
469C4×D4×C47—21no—
470C4×D4×C47—21no—
471C4×D4×C47—21no—
472C4×D4×C47—21no—
473C4×D4×C47—21no—
474C4×D4×C47—21no—
475C4×D4×C47—21no—
476C4×D4×C47C2311yescharacteristic
477C4×D4×C47C2311yescharacteristic
478C4×D4×C47C2311yescharacteristic
479C4×D4×C47C2311yescharacteristic
480C4×D4×C47C2311yescharacteristic
481#117×C47—21no—
482#117×C47C2311yescharacteristic
483#117×C47C2311yescharacteristic
484#117×C47C2311yescharacteristic
485C2×C4⋊C4×C47—21no—
486C2×C4⋊C4×C47—21no—
487C2×C4⋊C4×C47C2311yescharacteristic
488C2×C4⋊C4×C47C2311yescharacteristic
489C2×C22⋊C4×C47—21no—
490C24×C47C2×D411yescharacteristic
491C23×D47—21no—
492#41×C47—41no—
493#41×C47—41no—
494#41×C47—41no—
495#41×C47—41no—
496#41×C47—41no—
497#41×C47—41no—
498C2×Q8×C47—21no—
499C2×Q8×C47—21no—
500C2×Q8×C47—21no—
501C2×Q8×C47—41no—
502C2×Q8×C47—41no—
503C2×Q8×C47—41no—
504C2×Q8×C47—41no—
505C2×Q8×C47C2×D411yescharacteristic
506C2×Q8×C47C2411yescharacteristic
507C2×Q8×C47C2411yescharacteristic
508C2×Q8×C47C2411yescharacteristic
509C2×D4×C47—21no—
510C2×D4×C47—21no—
511C2×D4×C47—21no—
512C2×D4×C47—21no—
513C2×D4×C47—21no—
514C2×D4×C47C2×D411yescharacteristic
515C2×D4×C47C2×D411yescharacteristic
516C2×D4×C47C2×D411yescharacteristic
517C2×D4×C47C2×D411yescharacteristic
518C2×D4×C47C2×D411yescharacteristic
519C2×D4×C47C2×D411yescharacteristic
520C2×D4×C47C2×D411yescharacteristic
521C2×D4×C47C2411yescharacteristic
522C22×C4×C47—21no—
523C22×C4×C47—21no—
524C22×C4×C47—21no—
525C22×C4×C47—21no—
526C22×C4×C47—21no—
527C22×C4×C47—21no—
528C22×C4×C47—21no—
529C22×C4×C47—41no—
530C22×C4×C47—41no—
531C22×C4×C47C2×D411yescharacteristic
532C22×C4×C47C2×D411yescharacteristic
533C22×C4×C47C2×D411yescharacteristic
534C22×C4×C47C2411yescharacteristic
535C22×C4×C47C2411yescharacteristic
536C22×C4×C47C2411yescharacteristic
537C22×C4×C47C2411yescharacteristic
538C22×C4×C47C2411yescharacteristic
539C2×C22⋊D47—21no—
540C2×C22⋊D47—21no—
541C2×C22⋊D47—21no—
542C2×C22⋊D47—21no—
543C2×C22⋊D47—21no—
544C2×C22⋊D47—21no—
545C2×C22⋊D47—21no—
546C2×C22⋊D47—21no—
547C2×C22⋊D47—21no—
548C2×C22⋊D47—21no—
549C2×C22⋊D47—21no—
550C2×C22⋊D47—21no—
551C2×C22⋊D47—21no—
552C2×C22⋊D47—44no—
553C22×Dic47—21no—
554C22×Dic47—21no—
555C22×Dic47—21no—
556Q8×D47—44no—
557#10625352—44no—
558#10625352—44no—
559#10625352—44no—
560#10625350—22no—
561#10625350—22no—
562#10625350—22no—
563#10625350—22no—
564#10625350—22no—
565#10625350—22no—
566#10625350—41no—
567#10625350—41no—
568#10625350—41no—
569#10625350—41no—
570#10625350—41no—
571#10625350—41no—
572#10625350—41no—
573#10625350—41no—
574#10625350—44no—
575#10625350—44no—
576C2×D188—21no—
577C2×D188—21no—
578C2×D188—21no—
579C2×D188—21no—
580C2×D188—21no—
581C2×D188—41no—
582C2×D188—41no—
583C2×D188C2411yescharacteristic
584C2×D188C2411yescharacteristic
585C2×D188C2411yescharacteristic
586C2×C4×D47—21no—
587C2×C4×D47—21no—
588C2×C4×D47—21no—
589C2×C4×D47—21no—
590C2×C4×D47—21no—
591C2×C4×D47—21no—
592C2×C4×D47—21no—
593C2×C4×D47—44no—
594C2×Dic94—21no—
595C2×Dic94—22no—
596C2×Dic94—22no—
597C2×Dic94—22no—
598C2×Dic94—22no—
599C2×Dic94—21no—
600C2×Dic94—21no—
601C2×Dic94—41no—
602C2×Dic94—41no—
603C2×Dic94C2411yescharacteristic
604C2×Dic94C2411yescharacteristic
605C2×Dic94C2411yescharacteristic
606C4⋊C4×C47—21no—
607C4⋊C4×C47—21no—
608C4⋊C4×C47—21no—
609C4⋊C4×C47—21no—
610C4⋊C4×C47—21no—
611C4⋊C4×C47—21no—
612C4⋊C4×C47—21no—
613C4⋊C4×C47—21no—
614C4⋊C4×C47—21no—
615C4⋊C4×C47—21no—
616C4⋊C4×C47—21no—
617C4⋊C4×C47—21no—
618C4⋊C4×C47—21no—
619C4⋊C4×C47—21no—
620C4⋊C4×C47—21no—
621C4⋊C4×C47—21no—
622C4⋊C4×C47—21no—
623C4⋊C4×C47—21no—
624C4⋊C4×C47—21no—
625C4⋊C4×C47C2×D411yescharacteristic
626C4⋊C4×C47C2×D411yescharacteristic
627C4⋊C4×C47C2×D411yescharacteristic
628C4⋊C4×C47C2×D411yescharacteristic
629C4⋊C4×C47C2×D411yescharacteristic
630C4⋊C4×C47C2×D411yescharacteristic
631C4⋊C4×C47C2411yescharacteristic
632C4⋊C4×C47C2411yescharacteristic
633C4⋊C4×C47C2411yescharacteristic
634C4⋊C4×C47C2411yescharacteristic
635C22⋊C4×C47—21no—
636C22⋊C4×C47—21no—
637C22⋊C4×C47—21no—
638C22⋊C4×C47—21no—
639C22⋊C4×C47—21no—
640C22⋊C4×C47—21no—
641C22⋊C4×C47—21no—
642C22⋊C4×C47—21no—
643C22⋊C4×C47—21no—
644C22⋊C4×C47—21no—
645C22⋊C4×C47—21no—
646C22⋊C4×C47—21no—
647C22⋊C4×C47—21no—
648C22⋊C4×C47—21no—
649C22⋊C4×C47—21no—
650C22⋊C4×C47—21no—
651C22⋊C4×C47—21no—
652C22⋊C4×C47C2×D411yescharacteristic
653C22⋊C4×C47C2×D411yescharacteristic
654C22⋊C4×C47C2×D411yescharacteristic
655C22⋊C4×C47C2×D411yescharacteristic
656C22⋊C4×C47C2×D411yescharacteristic
657C22⋊C4×C47C2×D411yescharacteristic
658C22⋊C4×C47C2×D411yescharacteristic
659C22⋊C4×C47C2×D411yescharacteristic
660C22⋊C4×C47C2×D411yescharacteristic
661C22⋊C4×C47C2×D411yescharacteristic
662C42×C47—21no—
663C42×C47—21no—
664C42×C47—21no—
665C42×C47—21no—
666C42×C47—21no—
667C42×C47C2411yescharacteristic
668C42×C47C2411yescharacteristic
669C22⋊Dic47—21no—
670C22⋊Dic47—21no—
671C22⋊Dic47—21no—
672#10625337—22no—
673#10625337—22no—
674#10625337—22no—
675#10625337—22no—
676#10625337—22no—
677#10625337—22no—
678#10625337—41no—
679#10625337—41no—
680#10625337—41no—
681#10625336—41no—
682#10625336—41no—
683#10625336—41no—
684#10625336—41no—
685#10625336—41no—
686#10625336—41no—
687#10625336—41no—
688#10625336—41no—
689#10625336—41no—
690#10625335—22no—
691#10625335—22no—
692#10625335—41no—
693#10625334—41no—
694#10625334—41no—
695#10625334—41no—
696(C2×D47)⋊C4—21no—
697(C2×D47)⋊C4—21no—
698(C2×D47)⋊C4—21no—
699(C2×D47)⋊C4—21no—
700(C2×D47)⋊C4—21no—
701(C2×D47)⋊C4—21no—
702(C2×D47)⋊C4—21no—
703(C2×D47)⋊C4—21no—
704(C2×D47)⋊C4—21no—
705(C2×D47)⋊C4—21no—
706C4⋊Dic47C2411yescharacteristic
707C4⋊Dic47C2411yescharacteristic
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4—21no—
714C4×Dic47—21no—
715C4×Dic47—21no—
716C4×Dic47—21no—
717C4×Dic47—21no—
718C4×Dic47—21no—
719#10625329—41no—
720#10625329—41no—
721#10625329—41no—
722#10625329—41no—
723C2×C47⋊C8—41no—
724C2×C47⋊C8—41no—
725C2×C47⋊C8—41no—
726C2×C47⋊C8—41no—
727C2×C47⋊C8C2411yescharacteristic
728C2×C47⋊C8C2411yescharacteristic
729C2×C47⋊C8C2411yescharacteristic
730C2×C47⋊C8C2411yescharacteristic
731C2×C47⋊C8C2411yescharacteristic
732C2×C47⋊C8C2411yescharacteristic
733C2×C47⋊C8C2411yescharacteristic
734C2×C47⋊C8C2411yescharacteristic
735C23×C47—21no—
736C23×C47—41no—
737C23×C47—41no—
738C23×C47—41no—
739C23×C47C22×D411yescharacteristic
740C23×C47C22×D411yescharacteristic
741C23×C47C22×D411yescharacteristic
742C23×C47C22×D411yescharacteristic
743C23×C47C22×D411yescharacteristic
744C22×D47—21no—
745C22×D47—21no—
746C22×D47—21no—
747C22×D47—42no—
748C22×D47—81no—
749C22×D47—81no—
750Q8×C47—21no—
751Q8×C47—21no—
752Q8×C47—21no—
753Q8×C47—21no—
754Q8×C47—21no—
755Q8×C47—21no—
756Q8×C47—41no—
757Q8×C47—81no—
758Q8×C47—81no—
759Q8×C47—81no—
760D4×C47—21no—
761D4×C47—21no—
762D4×C47—41no—
763D4×C47—41no—
764D4×C47—41no—
765D4×C47—41no—
766D4×C47—41no—
767D4×C47—41no—
768D4×C47—41no—
769D4×C47—42no—
770D4×C47—81no—
771D4×C47—81no—
772D4×C47—81no—
773D4×C47—81no—
774C2×C4×C47—21no—
775C2×C4×C47—21no—
776C2×C4×C47—21no—
777C2×C4×C47—21no—
778C2×C4×C47—21no—
779C2×C4×C47—21no—
780C2×C4×C47—21no—
781C2×C4×C47—21no—
782C2×C4×C47—21no—
783C2×C4×C47—21no—
784C2×C4×C47—21no—
785C2×C4×C47—21no—
786C2×C4×C47—21no—
787C2×C4×C47—21no—
788C2×C4×C47—21no—
789C2×C4×C47—21no—
790C2×C4×C47—21no—
791C2×C4×C47—41no—
792C2×C4×C47—41no—
793C2×C4×C47—41no—
794C2×C4×C47—81no—
795C2×C4×C47—81no—
796C2×C4×C47—81no—
797C2×C4×C47—81no—
798C2×C4×C47—81no—
799C2×C4×C47—81no—
800C2×C4×C47—81no—
801C2×C4×C47C22×D411yescharacteristic
802C2×C4×C47C22×D411yescharacteristic
803C2×C4×C47C22×D411yescharacteristic
804C2×C4×C47C22×D411yescharacteristic
805C2×C4×C47C22×D411yescharacteristic
806C2×C4×C47C22×D411yescharacteristic
807C2×C4×C47C22×D411yescharacteristic
808C2×C4×C47C22×D411yescharacteristic
809C2×C4×C47C22×D411yescharacteristic
810C2×C4×C47C2511yescharacteristic
811C22⋊D47—42no—
812C22⋊D47—42no—
813C22⋊D47—42no—
814C22⋊D47—42no—
815C22⋊D47—42no—
816C22⋊D47—42no—
817C22⋊D47—42no—
818C22⋊D47—81no—
819C22⋊D47—81no—
820C22⋊D47—81no—
821C22⋊D47—81no—
822C22⋊D47—81no—
823C22⋊D47—81no—
824C2×Dic47—24no—
825C2×Dic47—21no—
826C2×Dic47—21no—
827C2×Dic47—21no—
828C2×Dic47—21no—
829C2×Dic47—21no—
830C2×Dic47—42no—
831C2×Dic47—42no—
832D188—21no—
833D188—21no—
834D188—21no—
835D188—21no—
836D188—21no—
837D188—21no—
838D188—42no—
839D188—81no—
840D188—81no—
841D188—81no—
842D188—81no—
843C4×D47—42no—
844C4×D47—42no—
845C4×D47—42no—
846C4×D47—42no—
847C4×D47—42no—
848C4×D47—42no—
849C4×D47—42no—
850Dic94—24no—
851Dic94—21no—
852Dic94—21no—
853Dic94—21no—
854Dic94—21no—
855Dic94—42no—
856Dic94—42no—
857Dic94H(5,𝔽2)12yes—
858Dic94H(5,𝔽2)12yes—
859C47⋊C8—21no—
860C47⋊C8—21no—
861C47⋊C8—21no—
862C47⋊C8—21no—
863C47⋊C8—21no—
864C47⋊C8—21no—
865C47⋊C8—21no—
866C47⋊C8—21no—
867#61615—471nomaximal, Sylow
868C22×C47—21no—
869C22×C47—21no—
870C22×C47—21no—
871C22×C47—21no—
872C22×C47—21no—
873C22×C47—21no—
874C22×C47—21no—
875C22×C47—21no—
876C22×C47—21no—
877C22×C47—21no—
878C22×C47—21no—
879C22×C47—21no—
880C22×C47—21no—
881C22×C47—21no—
882C22×C47—21no—
883C22×C47—41no—
884C22×C47—41no—
885C22×C47—41no—
886C22×C47—82no—
887C22×C47C23×D411yescharacteristic
888C2×D47—41no—
889C2×D47—41no—
890C2×D47—41no—
891C2×D47—41no—
892C2×D47—41no—
893C2×D47—41no—
894C2×D47—41no—
895C2×D47—41no—
896C2×D47—41no—
897C2×D47—84no—
898C4×C47—21no—
899C4×C47—21no—
900C4×C47—21no—
901C4×C47—21no—
902C4×C47—21no—
903C4×C47—21no—
904C4×C47—21no—
905C4×C47—21no—
906C4×C47—21no—
907C4×C47—41no—
908C4×C47—41no—
909C4×C47—41no—
910C4×C47—41no—
911C4×C47—41no—
912C4×C47—41no—
913C4×C47—41no—
914C4×C47C2×H(5,𝔽2)11yescharacteristic
915C4×C47C2×H(5,𝔽2)11yescharacteristic
916Dic47—22no—
917Dic47—22no—
918Dic47—41no—
919Dic47—41no—
920Dic47—41no—
921#3541D4711yescharacteristic, complemented
922#3487—471no—
923#3333—471no—
924#3326—471no—
925#3317—471no—
926#3316—471no—
927#3313—471no—
928#3309—471no—
929#3304—471no—
930#3300—471no—
931#3285—471no—
932#3284—471no—
933#3278—471no—
934#3277—471no—
935#3271—471no—
936#3271—471no—
937#3270—471no—
938#3269—471no—
939#3224—471no—
940#3222—471no—
941#3200—471no—
942#3198—471no—
943#3197—471no—
944#3190—471no—
945#3127—471no—
946#3121—471no—
947#3013—471no—
948#3011—471no—
949#3007—471no—
950#3002—471no—
951#2976—471no—
952C2×C47—41no—
953C2×C47—41no—
954C2×C47—41no—
955C2×C47—41no—
956C2×C47—41no—
957C2×C47—81no—
958C2×C47#348411yescharacteristic
959C2×C47#358411yescharacteristic
960C2×C47#358611yescharacteristic
961D47—81no—
962D47—81no—
963D47—81no—
964C2×2−1+4—471no—
965C22×#41—471no—
966C2×#137—471no—
967C2×#137—471no—
968C2×#137—471no—
969C2×#137—471no—
970C2×#135—471no—
971C2×#135—471no—
972C2×#135—471no—
973C22×Q16—471no—
974#563—21no—
975#562—21no—
976#556C2×D4711yescharacteristic, complemented
977#554—21no—
978#554C2×D4711yescharacteristic, complemented
979#553—21no—
980#553C2×D4711yescharacteristic, complemented
981#552C2×D4711yescharacteristic, complemented
982#550—471no—
983#550—471no—
984#550—471no—
985#550—471no—
986#550—941no—
987#550—941no—
988D4×Q8C2×D4711yescharacteristic, complemented
989#548—471no—
990#548—471no—
991#548—471no—
992#548—471no—
993#548—941no—
994#548—941no—
995#548C2×D4711yescharacteristic, complemented
996#548C2×D4711yescharacteristic, complemented
997#547C2×D4711yescharacteristic, complemented
998#542—21no—
999#542C2×D4711yescharacteristic
1000#541C2×D4711yescharacteristic
1001#539—21no—
1002#538—21no—
1003#538—21no—
1004#537C2×D4711yescharacteristic
1005#536C2×D4711yescharacteristic
1006#535—471no—
1007#535—471no—
1008#535—941no—
1009#535—941no—
1010#525—471no—
1011#525—941no—
1012#525—941no—
1013#525C2×D4711yescharacteristic
1014#525C2×D4711yescharacteristic
1015C2×C22⋊Q8C2×D4711yescharacteristic
1016#519—471no—
1017#497—471no—
1018#496—471no—
1019#495—471no—
1020#492—471no—
1021#490—471no—
1022#489—471no—
1023#488—471no—
1024#486—471no—
1025#485—471no—
1026#485—471no—
1027#485—471no—
1028#485—471no—
1029#483—471no—
1030#482—471no—
1031#482—471no—
1032#482—471no—
1033#482—471no—
1034#481—471no—
1035#480—471no—
1036#480—471no—
1037#479—471no—
1038#479—471no—
1039#477—471no—
1040#475—471no—
1041#470—471no—
1042#469—471no—
1043#469—471no—
1044#468—471no—
1045#468—471no—
1046#468—471no—
1047#468—471no—
1048#468—471no—
1049#467—471no—
1050#467—471no—
1051#466—471no—
1052#465—471no—
1053#465—471no—
1054#465—471no—
1055#465—471no—
1056#465—471no—
1057#464—471no—
1058#464—471no—
1059#464—471no—
1060#464—471no—
1061#464—471no—
1062#463—471no—
1063#462—471no—
1064#462—471no—
1065#460—471no—
1066#460—471no—
1067#460—471no—
1068#459—471no—
1069#452—471no—
1070#452—471no—
1071#452—471no—
1072#452—471no—
1073#452—471no—
1074#452—471no—
1075#452—471no—
1076#452—471no—
1077#452—471no—
1078#452—471no—
1079#452—471no—
1080#452—471no—
1081#452—471no—
1082#451—471no—
1083#451—471no—
1084#451—471no—
1085#451—471no—
1086#451—471no—
1087#451—471no—
1088#451—471no—
1089#450—471no—
1090#450—471no—
1091#450—471no—
1092#449—471no—
1093#449—471no—
1094#449—471no—
1095#449—471no—
1096#449—471no—
1097#449—471no—
1098#449—471no—
1099#448—471no—
1100#448—471no—
1101#448—471no—
1102#448—471no—
1103#448—471no—
1104#447—471no—
1105#441—471no—
1106#441—471no—
1107#441—471no—
1108#440—471no—
1109C4×Q16—471no—
1110C4×Q16—471no—
1111C4×Q16—471no—
1112C4×SD16—471no—
1113#436—471no—
1114#436—471no—
1115#435—471no—
1116#435—471no—
1117#435—471no—
1118#435—471no—
1119C8×D4—471no—
1120C8×D4—471no—
1121#433—471no—
1122#433—471no—
1123#419—471no—
1124#417—471no—
1125#417—471no—
1126#417—471no—
1127#416—471no—
1128#416—471no—
1129#416—471no—
1130C2×#103—471no—
1131#408—471no—
1132#408—471no—
1133#407—471no—
1134C2×C22⋊C8—471no—
1135C47#6161511yescharacteristic, complemented, Sylow
11362−1+4—1882no—
11372−1+4—1882no—
1138C2×#41—471no—
1139C2×#41—471no—
1140C2×#41—471no—
1141C2×#41—471no—
1142C2×#41—471no—
1143C2×#41—471no—
1144C2×#41—471no—
1145C2×#41—941no—
1146C2×#41—941no—
1147C2×#41—941no—
1148C2×#41—941no—
1149C2×#41—941no—
1150C2×#41—1882no—
1151C2×#41—1882no—
1152C2×#41C22×D4711yescharacteristic
1153C2×#41C22×D4711yescharacteristic
1154C2×#41C22×D4711yescharacteristic
1155C22×Q8—471no—
1156C22×Q8—471no—
1157C22×Q8—471no—
1158C22×Q8—941no—
1159C22×Q8C22×D4711yescharacteristic
1160C22×Q8C22×D4711yescharacteristic
1161C22×D4—471no—
1162C22×D4—941no—
1163C23×C4—941no—
1164C23×C4C22×D4711yescharacteristic
1165#137—1882no—
1166#137—1882no—
1167#137—1882no—
1168#137—1882no—
1169#135—1882no—
1170#135—1882no—
1171#135—1882no—
1172C2×Q16—471no—
1173C2×Q16—471no—
1174C2×Q16—471no—
1175C2×Q16—471no—
1176C2×Q16—471no—
1177C2×Q16—471no—
1178C2×Q16—471no—
1179C2×Q16—471no—
1180C2×Q16—471no—
1181C2×Q16—1882no—
1182C2×SD16—471no—
1183C2×SD16—471no—
1184C2×SD16—471no—
1185C2×SD16—471no—
1186C2×SD16—471no—
1187C2×SD16—471no—
1188C2×SD16—471no—
1189C2×SD16—471no—
1190C2×SD16—471no—
1191C2×SD16—471no—
1192C2×SD16—471no—
1193C2×SD16—471no—
1194C2×D8—471no—
1195C2×D8—471no—
1196C2×D8—471no—
1197C2×M16—471no—
1198C2×M16—471no—
1199C2×M16—471no—
1200C2×M16—471no—
1201C22×C8—471no—
1202C22×C8—471no—
1203C22×C8—471no—
1204C22×C8—471no—
1205C4⋊Q8—21no—
1206C4⋊Q8—21no—
1207C4⋊Q8C22×D4711yescharacteristic
1208C4⋊Q8C22×D4711yescharacteristic
1209#127—471no—
1210#127—471no—
1211#127—941no—
1212#127—941no—
1213#127—941no—
1214#127—941no—
1215#127—941no—
1216#126—21no—
1217#126—21no—
1218#126—21no—
1219#126—21no—
1220#126—21no—
1221#126—21no—
1222#126—21no—
1223#125—21no—
1224#125—21no—
1225#125—21no—
1226#125—21no—
1227#125C22×D4711yescharacteristic
1228#124—21no—
1229#124—21no—
1230#124—21no—
1231#124—21no—
1232#124—21no—
1233#124—471no—
1234#124—471no—
1235#124—941no—
1236#124—941no—
1237#124—941no—
1238#124—941no—
1239#124—941no—
1240#124C22×D4711yescharacteristic
1241#123—21no—
1242#123—21no—
1243#123—21no—
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—941no—
1250#123C22⋊D4711yescharacteristic
1251#123C22⋊D4711yescharacteristic
1252C22⋊Q8—21no—
1253C22⋊Q8—21no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—471no—
1263C22⋊Q8—471no—
1264C22⋊Q8—941no—
1265C22⋊Q8—941no—
1266C22⋊Q8—941no—
1267C22⋊Q8—941no—
1268C22⋊Q8C22⋊D4711yescharacteristic
1269C22⋊Q8C22⋊D4711yescharacteristic
1270C22⋊Q8C22×D4711yescharacteristic
1271C22⋊Q8C22×D4711yescharacteristic
1272C22⋊Q8C22×D4711yescharacteristic
1273C22⋊Q8C22×D4711yescharacteristic
1274C22⋊Q8C22×D4711yescharacteristic
1275C22⋊Q8C22×D4711yescharacteristic
1276C22⋊Q8C22×D4711yescharacteristic
1277C22⋊Q8C22×D4711yescharacteristic
1278C22⋊Q8C22×D4711yescharacteristic
1279#121—21no—
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—471no—
1287#121—471no—
1288#121—471no—
1289#121—471no—
1290#121—471no—
1291#121—471no—
1292#121—941no—
1293#121—941no—
1294#121—941no—
1295#121—941no—
1296#121—941no—
1297#121—941no—
1298#121—941no—
1299#121—941no—
1300#121—941no—
1301#121—941no—
1302#121—941no—
1303#121—941no—
1304#121—941no—
1305#121—941no—
1306#121C22⋊D4711yescharacteristic
1307#121C22⋊D4711yescharacteristic
1308#121C22×D4711yescharacteristic
1309#121C22×D4711yescharacteristic
1310#121C22×D4711yescharacteristic
1311#120—21no—
1312#120—941no—
1313#120—941no—
1314#120—941no—
1315#120—941no—
1316#120—941no—
1317#120C22⋊D4711yescharacteristic
1318#120C22⋊D4711yescharacteristic
1319C4×Q8—21no—
1320C4×Q8—471no—
1321C4×Q8—471no—
1322C4×Q8—471no—
1323C4×Q8—471no—
1324C4×Q8—941no—
1325C4×Q8—941no—
1326C4×Q8C22×D4711yescharacteristic
1327C4×Q8C22×D4711yescharacteristic
1328C4×Q8C22×D4711yescharacteristic
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—21no—
1335C4×D4—21no—
1336C4×D4—941no—
1337C4×D4—941no—
1338C4×D4—941no—
1339C4×D4—941no—
1340C4×D4—941no—
1341C4×D4—941no—
1342C4×D4—941no—
1343C4×D4—941no—
1344C4×D4—941no—
1345C4×D4—941no—
1346C4×D4C22×D4711yescharacteristic
1347C4×D4C22×D4711yescharacteristic
1348C4×D4C22×D4711yescharacteristic
1349C4×D4C22×D4711yescharacteristic
1350C4×D4C22×D4711yescharacteristic
1351#117—21no—
1352#117—471no—
1353#117—941no—
1354#117—941no—
1355#117C22×D4711yescharacteristic
1356#117C22×D4711yescharacteristic
1357#117C22×D4711yescharacteristic
1358C2×C4⋊C4—21no—
1359C2×C4⋊C4—21no—
1360C2×C4⋊C4C22×D4711yescharacteristic
1361C2×C4⋊C4C22×D4711yescharacteristic
1362C2×C22⋊C4—21no—
1363#107—471no—
1364#107—471no—
1365#107—471no—
1366#107—471no—
1367#106—471no—
1368#106—471no—
1369#106—471no—
1370#106—471no—
1371C4⋊C8—471no—
1372C4⋊C8—471no—
1373C4⋊C8—471no—
1374C4⋊C8—471no—
1375#103—471no—
1376#103—471no—
1377#103—471no—
1378#103—471no—
1379#103—471no—
1380#103—471no—
1381#103—471no—
1382#103—471no—
1383#103—471no—
1384#103—471no—
1385#103—471no—
1386#103—471no—
1387#103—471no—
1388#103—471no—
1389#103—471no—
1390#103—471no—
1391#103—471no—
1392#103—471no—
1393#102—471no—
1394#102—471no—
1395#102—471no—
1396#102—471no—
1397#102—471no—
1398#102—471no—
1399#102—471no—
1400#102—471no—
1401#102—471no—
1402#102—471no—
1403#102—471no—
1404#102—471no—
1405#102—471no—
1406#102—471no—
1407C22⋊C8—471no—
1408C22⋊C8—471no—
1409C22⋊C8—471no—
1410C22⋊C8—471no—
1411C22⋊C8—471no—
1412C22⋊C8—471no—
1413C22⋊C8—471no—
1414C22⋊C8—471no—
1415C22⋊C8—471no—
1416C22⋊C8—471no—
1417C22⋊C8—471no—
1418C22⋊C8—471no—
1419#97—471no—
1420#97—471no—
1421C4×C8—471no—
1422C4×C8—471no—
1423C24—941no—
1424C24C2×C22⋊D4711yescharacteristic
1425#41—41no—
1426#41—41no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—942no—
1432#41—942no—
1433#41—942no—
1434#41—942no—
1435#41—942no—
1436#41—942no—
1437#41—1881no—
1438#41—1881no—
1439#41—1881no—
1440#41—1881no—
1441#41—1881no—
1442#41—1881no—
1443#41—1881no—
1444#41—1881no—
1445#41—1884no—
1446#41—1884no—
1447#41—1884no—
1448#41—1884no—
1449#41—1884no—
1450C2×Q8—21no—
1451C2×Q8—21no—
1452C2×Q8—21no—
1453C2×Q8—41no—
1454C2×Q8—41no—
1455C2×Q8—41no—
1456C2×Q8—41no—
1457C2×Q8—471no—
1458C2×Q8—471no—
1459C2×Q8—471no—
1460C2×Q8—942no—
1461C2×Q8—942no—
1462C2×Q8—942no—
1463C2×Q8—942no—
1464C2×Q8—941no—
1465C2×Q8—941no—
1466C2×Q8—941no—
1467C2×Q8—1881no—
1468C2×Q8—1881no—
1469C2×Q8—1884no—
1470C2×Q8C2×C22⋊D4711yescharacteristic
1471C2×Q8C23×D4711yescharacteristic
1472C2×Q8C23×D4711yescharacteristic
1473C2×Q8C23×D4711yescharacteristic
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—471no—
1480C2×D4—471no—
1481C2×D4—471no—
1482C2×D4—941no—
1483C2×D4—941no—
1484C2×D4—941no—
1485C2×D4—941no—
1486C2×D4—941no—
1487C2×D4—941no—
1488C2×D4—941no—
1489C2×D4—941no—
1490C2×D4—941no—
1491C2×D4—941no—
1492C2×D4—941no—
1493C2×D4—941no—
1494C2×D4—941no—
1495C2×D4—941no—
1496C2×D4—941no—
1497C2×D4—941no—
1498C2×D4—941no—
1499C2×D4—941no—
1500C2×D4—1881no—
1501C2×D4—1881no—
1502C2×D4—1884no—
1503C2×D4C2×C22⋊D4711yescharacteristic
1504C2×D4C2×C22⋊D4711yescharacteristic
1505C2×D4C2×C22⋊D4711yescharacteristic
1506C2×D4C2×C22⋊D4711yescharacteristic
1507C2×D4C2×C22⋊D4711yescharacteristic
1508C2×D4C2×C22⋊D4711yescharacteristic
1509C2×D4C2×C22⋊D4711yescharacteristic
1510C2×D4C23×D4711yescharacteristic
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—41no—
1519C22×C4—41no—
1520C22×C4—941no—
1521C22×C4—941no—
1522C22×C4—941no—
1523C22×C4—941no—
1524C22×C4—941no—
1525C22×C4—941no—
1526C22×C4—941no—
1527C22×C4—941no—
1528C22×C4—941no—
1529C22×C4—941no—
1530C22×C4—1884no—
1531C22×C4C2×C22⋊D4711yescharacteristic
1532C22×C4C2×C22⋊D4711yescharacteristic
1533C22×C4C2×C22⋊D4711yescharacteristic
1534C22×C4C23×D4711yescharacteristic
1535C22×C4C23×D4711yescharacteristic
1536C22×C4C23×D4711yescharacteristic
1537C22×C4C23×D4711yescharacteristic
1538C22×C4C23×D4711yescharacteristic
1539Q16—942no—
1540Q16—942no—
1541Q16—942no—
1542Q16—942no—
1543Q16—942no—
1544Q16—942no—
1545Q16—1881no—
1546Q16—1881no—
1547Q16—1881no—
1548SD16—942no—
1549SD16—942no—
1550SD16—1881no—
1551SD16—1881no—
1552SD16—1881no—
1553SD16—1881no—
1554SD16—1881no—
1555SD16—1881no—
1556SD16—1881no—
1557SD16—1881no—
1558SD16—1881no—
1559SD16—1881no—
1560D8—1881no—
1561D8—1881no—
1562D8—1881no—
1563M16—1881no—
1564M16—1881no—
1565M16—1881no—
1566M16—1881no—
1567C2×C8—471no—
1568C2×C8—471no—
1569C2×C8—471no—
1570C2×C8—471no—
1571C2×C8—471no—
1572C2×C8—471no—
1573C2×C8—471no—
1574C2×C8—471no—
1575C2×C8—1881no—
1576C2×C8—1881no—
1577C2×C8—1881no—
1578C2×C8—1881no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—471no—
1599C4⋊C4—471no—
1600C4⋊C4—941no—
1601C4⋊C4—941no—
1602C4⋊C4—941no—
1603C4⋊C4—941no—
1604C4⋊C4—941no—
1605C4⋊C4—941no—
1606C4⋊C4C2×C22⋊D4711yescharacteristic
1607C4⋊C4C2×C22⋊D4711yescharacteristic
1608C4⋊C4C2×C22⋊D4711yescharacteristic
1609C4⋊C4C2×C22⋊D4711yescharacteristic
1610C4⋊C4C2×C22⋊D4711yescharacteristic
1611C4⋊C4C2×C22⋊D4711yescharacteristic
1612C4⋊C4C23×D4711yescharacteristic
1613C4⋊C4C23×D4711yescharacteristic
1614C4⋊C4C23×D4711yescharacteristic
1615C4⋊C4C23×D4711yescharacteristic
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—941no—
1634C22⋊C4—941no—
1635C22⋊C4—941no—
1636C22⋊C4—941no—
1637C22⋊C4—941no—
1638C22⋊C4—941no—
1639C22⋊C4—941no—
1640C22⋊C4—941no—
1641C22⋊C4—941no—
1642C22⋊C4—941no—
1643C22⋊C4—941no—
1644C22⋊C4—941no—
1645C22⋊C4—941no—
1646C22⋊C4C2×C22⋊D4711yescharacteristic
1647C22⋊C4C2×C22⋊D4711yescharacteristic
1648C22⋊C4C2×C22⋊D4711yescharacteristic
1649C22⋊C4C2×C22⋊D4711yescharacteristic
1650C22⋊C4C2×C22⋊D4711yescharacteristic
1651C22⋊C4C2×C22⋊D4711yescharacteristic
1652C22⋊C4C2×C22⋊D4711yescharacteristic
1653C22⋊C4C2×C22⋊D4711yescharacteristic
1654C22⋊C4C2×C22⋊D4711yescharacteristic
1655C22⋊C4C2×C22⋊D4711yescharacteristic
1656C42—21no—
1657C42—21no—
1658C42—21no—
1659C42—21no—
1660C42—21no—
1661C42—941no—
1662C42—941no—
1663C42—941no—
1664C42—941no—
1665C42—941no—
1666C42C23×D4711yescharacteristic
1667C42C23×D4711yescharacteristic
1668C23—21no—
1669C23—41no—
1670C23—41no—
1671C23—41no—
1672C23—941no—
1673C23—941no—
1674C23—941no—
1675C23—3761no—
1676C23—3761no—
1677C23—1882no—
1678C23C22×C22⋊D4711yescharacteristic
1679C23C22×C22⋊D4711yescharacteristic
1680C23C22×C22⋊D4711yescharacteristic
1681C23C22×C22⋊D4711yescharacteristic
1682C23C22×C22⋊D4711yescharacteristic
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—41no—
1690Q8—81no—
1691Q8—81no—
1692Q8—81no—
1693Q8—472no—
1694Q8—472no—
1695Q8—944no—
1696Q8—941no—
1697Q8—941no—
1698Q8—941no—
1699Q8—941no—
1700Q8—1882no—
1701Q8—1882no—
1702D4—21no—
1703D4—21no—
1704D4—41no—
1705D4—41no—
1706D4—41no—
1707D4—41no—
1708D4—41no—
1709D4—41no—
1710D4—41no—
1711D4—42no—
1712D4—81no—
1713D4—81no—
1714D4—81no—
1715D4—81no—
1716D4—941no—
1717D4—941no—
1718D4—941no—
1719D4—941no—
1720D4—941no—
1721D4—941no—
1722D4—3761no—
1723D4—3761no—
1724D4—3761no—
1725D4—3761no—
1726D4—3761no—
1727D4—3761no—
1728D4—3761no—
1729D4—3761no—
1730D4—3761no—
1731D4—3761no—
1732D4—1882no—
1733D4—1882no—
1734D4—1882no—
1735D4—1882no—
1736D4—1882no—
1737D4—1882no—
1738D4—1882no—
1739D4—1882no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—81no—
1761C2×C4—81no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—81no—
1765C2×C4—81no—
1766C2×C4—81no—
1767C2×C4—944no—
1768C2×C4—941no—
1769C2×C4—941no—
1770C2×C4—941no—
1771C2×C4—941no—
1772C2×C4—941no—
1773C2×C4—1882no—
1774C2×C4—1882no—
1775C2×C4—1882no—
1776C2×C4—1882no—
1777C2×C4—1882no—
1778C2×C4—1882no—
1779C2×C4—1882no—
1780C2×C4—1882no—
1781C2×C4—1882no—
1782C2×C4C22×C22⋊D4711yescharacteristic
1783C2×C4C22×C22⋊D4711yescharacteristic
1784C2×C4C22×C22⋊D4711yescharacteristic
1785C2×C4C22×C22⋊D4711yescharacteristic
1786C2×C4C22×C22⋊D4711yescharacteristic
1787C2×C4C22×C22⋊D4711yescharacteristic
1788C2×C4C22×C22⋊D4711yescharacteristic
1789C2×C4C22×C22⋊D4711yescharacteristic
1790C2×C4C22×C22⋊D4711yescharacteristic
1791C2×C4C24×D4711yescharacteristic
1792C8—941no—
1793C8—941no—
1794C8—941no—
1795C8—941no—
1796C8—941no—
1797C8—941no—
1798C8—941no—
1799C8—941no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—82no—
1819C22—3764no—
1820C22—1881no—
1821C22—1881no—
1822C22—1881no—
1823C22—1881no—
1824C22—1881no—
1825C22—1881no—
1826C22—1881no—
1827C22—1881no—
1828C22—1881no—
1829C22C23×C22⋊D4711yescharacteristic
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—942no—
1847C4—942no—
1848C4—1881no—
1849C4—1881no—
1850C4—1881no—
1851C4H(5,𝔽2)×D4711yescharacteristic
1852C4H(5,𝔽2)×D4711yescharacteristic
1853C2—41no—
1854C2—41no—
1855C2—41no—
1856C2—41no—
1857C2—41no—
1858C2—81no—
1859C2—3761no—
1860C2—3761no—
1861C2—3761no—
1862C2#2025701911yescharacteristic
1863C2#2025815911yescharacteristic
1864C2#2025817511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3541C2
socleC22×C47C23×D4
hypercenter#3541D47
hypocenterC47#61615
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #525 ◁ #3541

Complements

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

NH ≅ G/Ntype
1. #20257042C2semidirect
2. #20255720C2semidirect
3. #20255635C2semidirect
4. #20255508C2semidirect
5. #20255493C2semidirect
6. #20255448C2semidirect
7. #20255388C2semidirect
8. #20255321C2semidirect
9. #20255269C2semidirect
10. #20255125C2semidirect
11. #20255114C2semidirect
12. #20255050C2semidirect
13. #20255041C2semidirect
14. #20254974C2semidirect
15. #20254974C2semidirect
16. #20254959C2semidirect
17. #20254939C2semidirect
18. #20254476C2semidirect
19. #20254454C2semidirect
20. #20254255C2semidirect
21. #20254234C2semidirect
22. #20254225C2semidirect
23. #20254169C2semidirect
24. #20253683C2semidirect
25. #20253611C2semidirect
26. #20252700C2semidirect
27. #20252681C2semidirect
28. #20252646C2semidirect
29. #20252604C2semidirect
30. #20252436C2semidirect
31. C47×#3541C2semidirect
36. C2×#13094055C22semidirect
37. C2×#13094054C22semidirect
40. C2×#13094044C22semidirect
41. C22×#10625337C22semidirect
62. #15689515C22semidirect
63. #15689513C22semidirect
64. #15689505C22semidirect
65. #15689497C22semidirect
66. #15689489C22semidirect
67. #15689485C22semidirect
68. #15689480C22semidirect
69. #15689471C22semidirect
70. #15689464C22semidirect
74. #15689453C22semidirect
75. #15689447C22semidirect
76. #15689447C22semidirect
77. #15689447C22semidirect
79. #15689441C22semidirect
80. #15689436C22semidirect
81. #15689436C22semidirect
82. #15689427C22semidirect
83. #15689427C22semidirect
84. #15689415C22semidirect
85. #15689405C22semidirect
86. #15689379C22semidirect
87. #15689374C22semidirect
88. #15689374C22semidirect
89. #15689371C22semidirect
90. #15689371C22semidirect
91. #15689371C22semidirect
92. #15689371C22semidirect
93. #15689367C22semidirect
94. #15689362C22semidirect
95. #15689362C22semidirect
96. #15689357C22semidirect
97. #15689354C22semidirect
98. #15689354C22semidirect
99. #15689354C22semidirect
100. #15689354C22semidirect
101. #15689354C22semidirect
102. #15689345C22semidirect
103. #15689345C22semidirect
104. #15689345C22semidirect
105. #15689342C22semidirect
106. #15689342C22semidirect
107. #15689338C22semidirect
108. #15689330C22semidirect
109. #15689330C22semidirect
110. #15689323C22semidirect
111. #15689323C22semidirect
112. #15689323C22semidirect
113. #15689318C22semidirect
114. #15689285C22semidirect
124. #15689283C22semidirect
125. #15689283C22semidirect
126. #15689283C22semidirect
127. #15689279C22semidirect
131. #15689278C22semidirect
132. #15689278C22semidirect
133. #15689278C22semidirect
137. #15689268C22semidirect
138. #15689268C22semidirect
139. #15689268C22semidirect
143. #15689266C22semidirect
144. #15689262C22semidirect
145. #15689262C22semidirect
146. #15689262C22semidirect
148. #15689261C22semidirect
150. #15689228C22semidirect
151. #15689228C22semidirect
152. #15689228C22semidirect
153. #15689223C22semidirect
154. C4×#10625337C22semidirect
155. C4×#10625337C22semidirect
156. C4×#10625337C22semidirect
157. C4×#10625335C22semidirect
158. #15689201C22semidirect
159. #15689201C22semidirect
160. #15689195C22semidirect
161. #15689195C22semidirect
162. #15689195C22semidirect
163. #15689195C22semidirect
164. D4×C47⋊C8C22semidirect
165. D4×C47⋊C8C22semidirect
168. #15689131C22semidirect
171. #15689122C22semidirect
174. #15689117C22semidirect
175. C2×#13093947C22semidirect
182. C47×#556C22semidirect
184. C47×#554C22semidirect
186. C47×#553C22semidirect
187. C47×#552C22semidirect
188. D4×Q8×C47C22semidirect
189. C47×#548C22semidirect
190. C47×#548C22semidirect
191. C47×#547C22semidirect
921. #3541D47semidirect
976. #556C2×D47semidirect
978. #554C2×D47semidirect
980. #553C2×D47semidirect
981. #552C2×D47semidirect
988. D4×Q8C2×D47semidirect
995. #548C2×D47semidirect
996. #548C2×D47semidirect
997. #547C2×D47semidirect
1135. C47#61615semidirect

Maximal subgroups

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

subgroupindex
#202570422
#202557202
#202556352
#202555082
#202554932
#202554482
#202553882
#202553212
#202552692
#202551252
#202551142
#202550502
#202550412
#202549742
#202549592
#202549392
#202544762
#202544542
#202542552
#202542342
#202542252
#202541692
#202536832
#202536112
#202527002
#202526812
#202526462
#202526042
#202524362
C47×#35412
#6161547