Finite Group Databasebeta

← #29475758

Subgroups — #29475758

Order 15104.

2036 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437862C211yesmaximal, characteristic, complemented
2#21436358C211yesmaximal, characteristic, complemented
3#21436343C211yesmaximal, characteristic, complemented
4#21436261C211yesmaximal, characteristic, complemented
5#21436216C211yesmaximal, characteristic, complemented
6#21436141C211yesmaximal, characteristic, complemented
7#21436096C211yesmaximal, characteristic, complemented
8#21435992C211yesmaximal, characteristic, complemented
9#21435977C211yesmaximal, characteristic, complemented
10#21435833C211yesmaximal, characteristic, complemented
11#21435799C211yesmaximal, characteristic, complemented
12#21435749C211yesmaximal, characteristic, complemented
13#21435723C211yesmaximal, characteristic, complemented
14#21435682C211yesmaximal, characteristic, complemented
15#21435662C211yesmaximal, characteristic, complemented
16#21435632C211yesmaximal, characteristic, complemented
17#21435602C211yesmaximal, characteristic, complemented
18#21435129C211yesmaximal, characteristic, complemented
19#21435068C211yesmaximal, characteristic, complemented
20#21435002C211yesmaximal, characteristic, complemented
21#21434993C211yesmaximal, characteristic, complemented
22#21434978C211yesmaximal, characteristic, complemented
23#21434948C211yesmaximal, characteristic, complemented
24#21434263C211yesmaximal, characteristic, complemented
25#21434172C211yesmaximal, characteristic, complemented
26#21433408C211yesmaximal, characteristic, complemented
27#21433408C211yesmaximal, characteristic, complemented
28#21433389C211yesmaximal, characteristic, complemented
29#21433380C211yesmaximal, characteristic, complemented
30#21433172C211yesmaximal, characteristic, complemented
31C59×#3551C211yesmaximal, characteristic, complemented
32C2×#14273774C2211yescharacteristic
33C2×#14273774C2211yescharacteristic, complemented
34C2×#14273758C2211yescharacteristic, complemented
35C2×#14273757C2211yescharacteristic
36C2×#14273757C2211yescharacteristic
37C2×#14273753C2211yescharacteristic
38C2×#14273747C2211yescharacteristic
39C2×#14273747C2211yescharacteristic
40C22×#11745672C2211yescharacteristic, complemented
41C22×#11745670C2211yescharacteristic
42#16838073C2211yescharacteristic
43#16838073C2211yescharacteristic, complemented
44#16838072—21no—
45D4×Dic118C2211yescharacteristic
46D4×Dic118C2211yescharacteristic, complemented
47#16838067—21no—
48#16838061C2211yescharacteristic
49#16838061C2211yescharacteristic
50#16838061C2211yescharacteristic, complemented
51#16838061C2211yescharacteristic, complemented
52#16838060—21no—
53#16838060—21no—
54#16837980C2211yescharacteristic
55#16837980C2211yescharacteristic, complemented
56#16837979—21no—
57#16837979—21no—
58#16837952C2211yescharacteristic, complemented
59#16837947—21no—
60#16837947—21no—
61C2×C4×Dic118C2211yescharacteristic, complemented
62#16837797C2211yescharacteristic
63#16837792C2211yescharacteristic
64#16837784C2211yescharacteristic
65#16837784C2211yescharacteristic
66#16837772C2211yescharacteristic, complemented
67#16837768C2211yescharacteristic, complemented
68#16837759C2211yescharacteristic, complemented
69#16837759C2211yescharacteristic, complemented
70#16837743C2211yescharacteristic
71#16837743C2211yescharacteristic, complemented
72#16837737C2211yescharacteristic, complemented
73#16837735C2211yescharacteristic, complemented
74#16837732C2211yescharacteristic, complemented
75#16837730C2211yescharacteristic, complemented
76#16837726C2211yescharacteristic
77#16837726C2211yescharacteristic, complemented
78#16837720C2211yescharacteristic, complemented
79#16837718C2211yescharacteristic
80#16837715C2211yescharacteristic, complemented
81#16837713C2211yescharacteristic
82#16837706C2211yescharacteristic, complemented
83#16837706C2211yescharacteristic, complemented
84#16837706C2211yescharacteristic, complemented
85#16837706C2211yescharacteristic, complemented
86#16837658C2211yescharacteristic
87#16837658C2211yescharacteristic, complemented
88#16837653C2211yescharacteristic
89#16837653C2211yescharacteristic
90#16837650C2211yescharacteristic
91#16837650C2211yescharacteristic, complemented
92#16837646C2211yescharacteristic
93#16837646C2211yescharacteristic
94#16837641C2211yescharacteristic
95#16837641C2211yescharacteristic, complemented
96#16837636C2211yescharacteristic
97#16837636C2211yescharacteristic
98#16837633C2211yescharacteristic
99#16837633C2211yescharacteristic, complemented
100#16837629C2211yescharacteristic
101#16837629C2211yescharacteristic
102#16837624C2211yescharacteristic, complemented
103#16837624C2211yescharacteristic, complemented
104#16837621C2211yescharacteristic
105#16837621C2211yescharacteristic
106#16837621C2211yescharacteristic
107#16837621C2211yescharacteristic
108#16837617C2211yescharacteristic
109#16837617C2211yescharacteristic
110#16837612C2211yescharacteristic, complemented
111#16837607C2211yescharacteristic
112#16837602C2211yescharacteristic, complemented
113#16837597C2211yescharacteristic
114#16837564C2211yescharacteristic
115#16837564C2211yescharacteristic
116#16837562C2211yescharacteristic
117#16837562C2211yescharacteristic
118#16837562C2211yescharacteristic, complemented
119#16837562C2211yescharacteristic, complemented
120#16837562C2211yescharacteristic, complemented
121#16837562C2211yescharacteristic, complemented
122#16837562C2211yescharacteristic, complemented
123#16837562C2211yescharacteristic, complemented
124#16837558C2211yescharacteristic, complemented
125#16837557C2211yescharacteristic
126#16837557C2211yescharacteristic
127#16837557C2211yescharacteristic, complemented
128#16837557C2211yescharacteristic, complemented
129#16837557C2211yescharacteristic, complemented
130#16837557C2211yescharacteristic, complemented
131#16837553C2211yescharacteristic
132#16837547C2211yescharacteristic
133#16837547C2211yescharacteristic
134#16837545C2211yescharacteristic
135#16837545C2211yescharacteristic
136#16837545C2211yescharacteristic
137#16837545C2211yescharacteristic
138#16837545C2211yescharacteristic
139#16837545C2211yescharacteristic
140#16837545C2211yescharacteristic
141#16837545C2211yescharacteristic
142#16837541C2211yescharacteristic, complemented
143#16837540C2211yescharacteristic
144#16837540C2211yescharacteristic
145#16837540C2211yescharacteristic
146#16837540C2211yescharacteristic
147#16837540C2211yescharacteristic
148#16837540C2211yescharacteristic
149#16837536C2211yescharacteristic
150#16837507C2211yescharacteristic, complemented
151#16837507C2211yescharacteristic, complemented
152#16837502C2211yescharacteristic
153#16837502C2211yescharacteristic
154C4×#11745672C2211yescharacteristic, complemented
155C4×#11745672C2211yescharacteristic, complemented
156C4×#11745670C2211yescharacteristic
157C4×#11745670C2211yescharacteristic
158#16837480C2211yescharacteristic
159#16837480C2211yescharacteristic, complemented
160#16837474C2211yescharacteristic
161#16837474C2211yescharacteristic
162#16837474C2211yescharacteristic, complemented
163#16837474C2211yescharacteristic, complemented
164D4×C59⋊C8C2211yescharacteristic
165D4×C59⋊C8C2211yescharacteristic, complemented
166#16837459C2211yescharacteristic, complemented
167#16837455C2211yescharacteristic, complemented
168#16837410C2211yescharacteristic
169#16837410C2211yescharacteristic, complemented
170#16837401C2211yescharacteristic, complemented
171#16837401C2211yescharacteristic, complemented
172#16837396C2211yescharacteristic
173#16837396C2211yescharacteristic, complemented
174C2×#14273650C2211yescharacteristic, complemented
175C2×#14273650C2211yescharacteristic, complemented
176#16837369C2211yescharacteristic
177#16837369C2211yescharacteristic
178#16837369C2211yescharacteristic, complemented
179#16837369C2211yescharacteristic, complemented
180C59×#563—21no—
181C59×#560—21no—
182C59×#555—21no—
183C59×#553C2211yescharacteristic
184C59×#553C2211yescharacteristic
185C59×#552C2211yescharacteristic
186C59×#552C2211yescharacteristic
187C59×#551—21no—
188C59×#548C2211yescharacteristic
189C59×#548C2211yescharacteristic
190C59×#546C2211yescharacteristic
191C59×#546C2211yescharacteristic
192C59×#540—21no—
193C59×#540—21no—
194C59×#538—21no—
195C59×#538—21no—
196C59×#537C2211yescharacteristic
197C59×#537C2211yescharacteristic
198C59×#536C2211yescharacteristic
199C59×#535C2211yescharacteristic
200C59×#532C2211yescharacteristic
201C59×#529C2211yescharacteristic
202C59×#529C2211yescharacteristic
203#14273774—42no—
204#14273774—42no—
205#14273774—42no—
206#14273774—42no—
207C2×#11745685C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745687—21no—
214C2×#11745687—21no—
215C2×#11745687—21no—
216C2×#11745687—21no—
217C2×#11745687—21no—
218C2×#11745687—21no—
219C22×Dic118C2311yescharacteristic
220C22×Dic118C2311yescharacteristic
221C22×Dic118C2311yescharacteristic
222C22×Dic118C2311yescharacteristic
223C22×Dic118C2311yescharacteristic
224C2×Q8×D59—21no—
225C2×Q8×D59—21no—
226#14273758—42no—
227#14273757—42no—
228#14273757—42no—
229#14273753—42no—
230#14273747—42no—
231#14273747—42no—
232C2×#11745672—42no—
233C2×#11745672C2311yescharacteristic
234C2×#11745672C2311yescharacteristic
235C2×#11745672C2311yescharacteristic
236C2×#11745672C2311yescharacteristic
237C2×#11745672C2311yescharacteristic
238C2×#11745672C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240C2×#11745672C2311yescharacteristic
241C2×#11745670—42no—
242C2×#11745670C2311yescharacteristic
243C2×#11745670C2311yescharacteristic
244C2×#11745670C2311yescharacteristic
245C2×#11745670C2311yescharacteristic
246C2×#11745670C2311yescharacteristic
247C2×#11745670C2311yescharacteristic
248C2×#11745670C2311yescharacteristic
249C2×#11745670C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253C2×#11745671C2311yescharacteristic
254C2×#11745669C2311yescharacteristic
255C2×#11745669C2311yescharacteristic
256C2×#11745669C2311yescharacteristic
257C2×#11745669C2311yescharacteristic
258C2×#11745664C2311yescharacteristic
259C2×#11745664C2311yescharacteristic
260C2×#11745664C2311yescharacteristic
261C2×#11745664C2311yescharacteristic
262C22×C59⋊C8C2311yescharacteristic
263C22×C59⋊C8C2311yescharacteristic
264C22×C59⋊C8C2311yescharacteristic
265C22×C59⋊C8C2311yescharacteristic
266#14273727C2311yescharacteristic
267#14273726—21no—
268#14273726—21no—
269#14273724C2311yescharacteristic
270#14273723—21no—
271#14273723—21no—
272#14273715C2311yescharacteristic
273#14273715C2311yescharacteristic
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273706C2311yescharacteristic
279#14273706C2311yescharacteristic
280#14273706C2311yescharacteristic
281#14273706C2311yescharacteristic
282#14273705—21no—
283#14273705—21no—
284#14273705—21no—
285#14273705—21no—
286#14273704—21no—
287#14273704—21no—
288#14273704—21no—
289#14273704—21no—
290#14273703—21no—
291#14273703—21no—
292#14273701—21no—
293#14273701—21no—
294#14273701C2311yescharacteristic
295#14273701C2311yescharacteristic
296#14273701C2311yescharacteristic
297#14273701C2311yescharacteristic
298#14273700—21no—
299#14273700—21no—
300#14273700—21no—
301#14273700—21no—
302#14273699—21no—
303#14273699—21no—
304#14273699—21no—
305#14273699—21no—
306#14273699—21no—
307#14273699—21no—
308#14273699—21no—
309#14273699—21no—
310#14273698—21no—
311#14273698—21no—
312C4×Dic118—21no—
313C4×Dic118—21no—
314C4×Dic118C2311yescharacteristic
315C4×Dic118C2311yescharacteristic
316C4×Dic118C2311yescharacteristic
317C4×Dic118C2311yescharacteristic
318C4×D236—21no—
319C4×D236—21no—
320D4×Dic59—21no—
321D4×Dic59—21no—
322#14273689—21no—
323#14273689—21no—
324(C22⋊D59)⋊C4—21no—
325(C22⋊D59)⋊C4—21no—
326(C22⋊D59)⋊C4—21no—
327(C22⋊D59)⋊C4—21no—
328C2×C4⋊Dic59C2311yescharacteristic
329C2×Dic59⋊C4—21no—
330C2×C4×Dic59—21no—
331#14273660C2311yescharacteristic
332#14273660C2311yescharacteristic
333#14273660C2311yescharacteristic
334#14273660C2311yescharacteristic
335#14273658C2311yescharacteristic
336#14273658C2311yescharacteristic
337#14273658C2311yescharacteristic
338#14273658C2311yescharacteristic
339C4⋊(C59⋊C8)C2311yescharacteristic
340C4⋊(C59⋊C8)C2311yescharacteristic
341C4⋊(C59⋊C8)C2311yescharacteristic
342C4⋊(C59⋊C8)C2311yescharacteristic
343#14273651C2311yescharacteristic
344#14273651C2311yescharacteristic
345#14273651C2311yescharacteristic
346#14273651C2311yescharacteristic
347#14273650C2311yescharacteristic
348#14273650C2311yescharacteristic
349#14273650C2311yescharacteristic
350#14273650C2311yescharacteristic
351#14273650C2311yescharacteristic
352#14273650C2311yescharacteristic
353#14273650C2311yescharacteristic
354#14273650C2311yescharacteristic
355#14273650C2311yescharacteristic
356#14273650C2311yescharacteristic
357#14273650C2311yescharacteristic
358#14273650C2311yescharacteristic
359#14273650C2311yescharacteristic
360#14273650C2311yescharacteristic
361#14273650C2311yescharacteristic
362#14273650C2311yescharacteristic
363#14273648C2311yescharacteristic
364#14273648C2311yescharacteristic
365#14273648C2311yescharacteristic
366#14273648C2311yescharacteristic
367#14273647C2311yescharacteristic
368#14273647C2311yescharacteristic
369#14273647C2311yescharacteristic
370#14273647C2311yescharacteristic
371#14273647C2311yescharacteristic
372#14273647C2311yescharacteristic
373#14273647C2311yescharacteristic
374#14273647C2311yescharacteristic
375C22⋊(C59⋊C8)C2311yescharacteristic
376C22⋊(C59⋊C8)C2311yescharacteristic
377C22⋊(C59⋊C8)C2311yescharacteristic
378C22⋊(C59⋊C8)C2311yescharacteristic
379C22⋊(C59⋊C8)C2311yescharacteristic
380C22⋊(C59⋊C8)C2311yescharacteristic
381C22⋊(C59⋊C8)C2311yescharacteristic
382C22⋊(C59⋊C8)C2311yescharacteristic
383C22⋊(C59⋊C8)C2311yescharacteristic
384C22⋊(C59⋊C8)C2311yescharacteristic
385C22⋊(C59⋊C8)C2311yescharacteristic
386C22⋊(C59⋊C8)C2311yescharacteristic
387#14273638C2311yescharacteristic
388#14273638C2311yescharacteristic
389C4×C59⋊C8C2311yescharacteristic
390C4×C59⋊C8C2311yescharacteristic
391C2×#41×C59C2311yescharacteristic
392C2×#41×C59C2311yescharacteristic
393C2×#41×C59C2311yescharacteristic
394C2×#41×C59C2311yescharacteristic
395C22×Q8×C59C2311yescharacteristic
396C22×D4×C59C2311yescharacteristic
397C4⋊Q8×C59—21no—
398C4⋊Q8×C59D411yescharacteristic
399#127×C59—21no—
400#127×C59D411yescharacteristic
401#126×C59—21no—
402#126×C59—21no—
403#126×C59—21no—
404#126×C59—21no—
405#126×C59—21no—
406#126×C59—21no—
407#125×C59—21no—
408#125×C59—21no—
409#125×C59C2311yescharacteristic
410#125×C59C2311yescharacteristic
411#124×C59—21no—
412#124×C59—21no—
413#124×C59—21no—
414#124×C59—21no—
415#124×C59D411yescharacteristic
416#124×C59D411yescharacteristic
417#124×C59C2311yescharacteristic
418#124×C59C2311yescharacteristic
419#123×C59—21no—
420#123×C59—21no—
421#123×C59—21no—
422#123×C59—21no—
423#123×C59—21no—
424#123×C59—21no—
425#123×C59—21no—
426#123×C59—21no—
427#123×C59—21no—
428#123×C59—21no—
429C22⋊Q8×C59—21no—
430C22⋊Q8×C59—21no—
431C22⋊Q8×C59—21no—
432C22⋊Q8×C59—21no—
433C22⋊Q8×C59C2311yescharacteristic
434C22⋊Q8×C59C2311yescharacteristic
435C22⋊Q8×C59C2311yescharacteristic
436C22⋊Q8×C59C2311yescharacteristic
437C22⋊Q8×C59C2311yescharacteristic
438C22⋊Q8×C59C2311yescharacteristic
439#121×C59—21no—
440#121×C59—21no—
441#121×C59—21no—
442#121×C59—21no—
443#121×C59—21no—
444#121×C59—21no—
445#121×C59—21no—
446#121×C59—21no—
447#121×C59—21no—
448#121×C59—21no—
449#121×C59—21no—
450#121×C59—21no—
451#121×C59D411yescharacteristic
452#121×C59D411yescharacteristic
453#121×C59D411yescharacteristic
454#121×C59D411yescharacteristic
455#121×C59C2311yescharacteristic
456#121×C59C2311yescharacteristic
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459#121×C59C2311yescharacteristic
460#121×C59C2311yescharacteristic
461#120×C59—21no—
462#120×C59—21no—
463#120×C59—21no—
464#120×C59—21no—
465C4×Q8×C59C2311yescharacteristic
466C4×Q8×C59C2311yescharacteristic
467C4×D4×C59—21no—
468C4×D4×C59—21no—
469C4×D4×C59—21no—
470C4×D4×C59—21no—
471C4×D4×C59—21no—
472C4×D4×C59—21no—
473C4×D4×C59C2311yescharacteristic
474C4×D4×C59C2311yescharacteristic
475C4×D4×C59C2311yescharacteristic
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C4×D4×C59C2311yescharacteristic
479#117×C59—21no—
480#117×C59—21no—
481#117×C59—21no—
482#117×C59—21no—
483#117×C59C2311yescharacteristic
484#117×C59C2311yescharacteristic
485C2×C4⋊C4×C59C2311yescharacteristic
486C2×C4⋊C4×C59C2311yescharacteristic
487C2×C22⋊C4×C59—21no—
488C2×C22⋊C4×C59—21no—
489C2×C42×C59C2311yescharacteristic
490C24×C59—21no—
491#41×C59—41no—
492#41×C59—41no—
493#41×C59—41no—
494#41×C59—41no—
495#41×C59—41no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499C2×Q8×C59—21no—
500C2×Q8×C59—41no—
501C2×Q8×C59—41no—
502C2×Q8×C59C2×D411yescharacteristic
503C2×Q8×C59C2×D411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×Q8×C59C2411yescharacteristic
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59—21no—
514C2×D4×C59—21no—
515C2×D4×C59—41no—
516C2×D4×C59—41no—
517C2×D4×C59C2×D411yescharacteristic
518C2×D4×C59C2×D411yescharacteristic
519C2×D4×C59C2×D411yescharacteristic
520C2×D4×C59C2×D411yescharacteristic
521C2×D4×C59C2×D411yescharacteristic
522C2×D4×C59C2×D411yescharacteristic
523C2×D4×C59C2×D411yescharacteristic
524C2×D4×C59C2×D411yescharacteristic
525C2×D4×C59C2×D411yescharacteristic
526C2×D4×C59C2×D411yescharacteristic
527C2×D4×C59C2411yescharacteristic
528C2×D4×C59C2411yescharacteristic
529C22×C4×C59—21no—
530C22×C4×C59—21no—
531C22×C4×C59—21no—
532C22×C4×C59—21no—
533C22×C4×C59—21no—
534C22×C4×C59—21no—
535C22×C4×C59—21no—
536C22×C4×C59C2×D411yescharacteristic
537C22×C4×C59C2×D411yescharacteristic
538C22×C4×C59C2411yescharacteristic
539C22×C4×C59C2411yescharacteristic
540C22×C4×C59C2411yescharacteristic
541C22×C4×C59C2411yescharacteristic
542C22×C4×C59C2411yescharacteristic
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C2×C22⋊D59—21no—
551C2×C22⋊D59—21no—
552C2×C22⋊D59—21no—
553C22×Dic59—21no—
554C22×Dic59—21no—
555C22×Dic59—21no—
556C22×Dic59—21no—
557C22×Dic59—21no—
558C22×Dic59—21no—
559Q8×D59—44no—
560Q8×D59—44no—
561#11745687—44no—
562#11745687—44no—
563#11745687—44no—
564#11745687—44no—
565#11745687—44no—
566#11745687—44no—
567#11745685—22no—
568#11745685—22no—
569#11745685—22no—
570#11745685—22no—
571#11745685—41no—
572#11745685—41no—
573#11745685—41no—
574#11745685—41no—
575#11745685—41no—
576#11745685—41no—
577#11745685—41no—
578#11745685—41no—
579C2×D236—21no—
580C2×D236—21no—
581C2×D236C2411yescharacteristic
582C2×D236C2411yescharacteristic
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×Dic118—21no—
590C2×Dic118—22no—
591C2×Dic118—22no—
592C2×Dic118—22no—
593C2×Dic118—22no—
594C2×Dic118—22no—
595C2×Dic118—22no—
596C2×Dic118—21no—
597C2×Dic118—21no—
598C2×Dic118—21no—
599C2×Dic118—21no—
600C2×Dic118—41no—
601C2×Dic118—41no—
602C2×Dic118—41no—
603C2×Dic118—41no—
604C2×Dic118C2411yescharacteristic
605C2×Dic118C2411yescharacteristic
606C2×Dic118C2411yescharacteristic
607C2×Dic118C2411yescharacteristic
608C4⋊C4×C59—21no—
609C4⋊C4×C59—21no—
610C4⋊C4×C59—21no—
611C4⋊C4×C59—21no—
612C4⋊C4×C59—21no—
613C4⋊C4×C59—21no—
614C4⋊C4×C59—21no—
615C4⋊C4×C59—21no—
616C4⋊C4×C59—21no—
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59—21no—
621C4⋊C4×C59—21no—
622C4⋊C4×C59C2×D411yescharacteristic
623C4⋊C4×C59C2×D411yescharacteristic
624C4⋊C4×C59C2×D411yescharacteristic
625C4⋊C4×C59C2×D411yescharacteristic
626C4⋊C4×C59C2411yescharacteristic
627C4⋊C4×C59C2411yescharacteristic
628C4⋊C4×C59C2411yescharacteristic
629C4⋊C4×C59C2411yescharacteristic
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C22⋊C4×C59—21no—
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59—21no—
650C22⋊C4×C59C2×D411yescharacteristic
651C22⋊C4×C59C2×D411yescharacteristic
652C22⋊C4×C59C2×D411yescharacteristic
653C22⋊C4×C59C2×D411yescharacteristic
654C22⋊C4×C59C2×D411yescharacteristic
655C22⋊C4×C59C2×D411yescharacteristic
656C22⋊C4×C59C2×D411yescharacteristic
657C22⋊C4×C59C2×D411yescharacteristic
658C42×C59—21no—
659C42×C59—21no—
660C42×C59—21no—
661C42×C59—21no—
662C42×C59C2×D411yescharacteristic
663C42×C59C2×D411yescharacteristic
664C42×C59C2411yescharacteristic
665C42×C59C2411yescharacteristic
666C22⋊Dic59—21no—
667C22⋊Dic59—21no—
668C22⋊Dic59—21no—
669C22⋊Dic59—21no—
670#11745672—22no—
671#11745672—22no—
672#11745672—22no—
673#11745672—22no—
674#11745672—41no—
675#11745672—41no—
676#11745672—41no—
677#11745672—41no—
678#11745671—41no—
679#11745671—41no—
680#11745671—41no—
681#11745671—41no—
682#11745670—22no—
683#11745670—22no—
684#11745670—22no—
685#11745670—22no—
686#11745670—41no—
687#11745670—41no—
688#11745670—41no—
689#11745670—41no—
690#11745669—41no—
691#11745669—41no—
692#11745669—41no—
693#11745669—41no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4—21no—
698(C2×D59)⋊C4—21no—
699(C2×D59)⋊C4—21no—
700(C2×D59)⋊C4—21no—
701(C2×D59)⋊C4—21no—
702C4⋊Dic59—21no—
703C4⋊Dic59—21no—
704C4⋊Dic59—21no—
705C4⋊Dic59C2411yescharacteristic
706C4⋊Dic59C2411yescharacteristic
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719#11745664—41no—
720#11745664—41no—
721#11745664—41no—
722#11745664—41no—
723C2×C59⋊C8—41no—
724C2×C59⋊C8—41no—
725C2×C59⋊C8—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733C2×C59⋊C8C2411yescharacteristic
734C2×C59⋊C8C2411yescharacteristic
735C23×C59—21no—
736C23×C59—21no—
737C23×C59—81no—
738C23×C59—81no—
739C23×C59—81no—
740C23×C59C22×D411yescharacteristic
741C23×C59C22×D411yescharacteristic
742C23×C59C22×D411yescharacteristic
743C23×C59C22×D411yescharacteristic
744C23×C59C22×D411yescharacteristic
745C22×D59—21no—
746C22×D59—21no—
747Q8×C59—21no—
748Q8×C59—21no—
749Q8×C59—21no—
750Q8×C59—21no—
751Q8×C59—41no—
752Q8×C59—41no—
753Q8×C59—81no—
754D4×C59—21no—
755D4×C59—21no—
756D4×C59—21no—
757D4×C59—21no—
758D4×C59—41no—
759D4×C59—41no—
760D4×C59—41no—
761D4×C59—41no—
762D4×C59—41no—
763D4×C59—41no—
764D4×C59—41no—
765D4×C59—41no—
766D4×C59—41no—
767D4×C59—41no—
768D4×C59—81no—
769D4×C59—81no—
770D4×C59—81no—
771D4×C59—81no—
772D4×C59—81no—
773D4×C59—81no—
774D4×C59—81no—
775D4×C59—81no—
776D4×C59—81no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—41no—
794C2×C4×C59—41no—
795C2×C4×C59—81no—
796C2×C4×C59—81no—
797C2×C4×C59—81no—
798C2×C4×C59—81no—
799C2×C4×C59—81no—
800C2×C4×C59—81no—
801C2×C4×C59—81no—
802C2×C4×C59C22×D411yescharacteristic
803C2×C4×C59C22×D411yescharacteristic
804C2×C4×C59C22×D411yescharacteristic
805C2×C4×C59C22×D411yescharacteristic
806C2×C4×C59C22×D411yescharacteristic
807C2×C4×C59C22×D411yescharacteristic
808C2×C4×C59C22×D411yescharacteristic
809C2×C4×C59C22×D411yescharacteristic
810C2×C4×C59C22×D411yescharacteristic
811C2×C4×C59C2511yescharacteristic
812C22⋊D59—42no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—42no—
816C22⋊D59—42no—
817C22⋊D59—42no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C22⋊D59—81no—
822C2×Dic59—24no—
823C2×Dic59—21no—
824C2×Dic59—21no—
825C2×Dic59—21no—
826C2×Dic59—21no—
827C2×Dic59—21no—
828C2×Dic59—21no—
829C2×Dic59—42no—
830C2×Dic59—42no—
831C2×Dic59—42no—
832C2×Dic59—42no—
833C2×Dic59—81no—
834D236—21no—
835D236—21no—
836D236—21no—
837D236—21no—
838D236—42no—
839D236—81no—
840C4×D59—42no—
841C4×D59—42no—
842C4×D59—42no—
843C4×D59—42no—
844C4×D59—42no—
845C4×D59—42no—
846Dic118—24no—
847Dic118—21no—
848Dic118—21no—
849Dic118—21no—
850Dic118—21no—
851Dic118—21no—
852Dic118—21no—
853Dic118—42no—
854Dic118—42no—
855Dic118—42no—
856Dic118—42no—
857Dic118H(5,𝔽2)12yes—
858Dic118H(5,𝔽2)12yes—
859C59⋊C8—21no—
860C59⋊C8—21no—
861C59⋊C8—21no—
862C59⋊C8—21no—
863C59⋊C8—21no—
864C59⋊C8—21no—
865C59⋊C8—21no—
866C59⋊C8—21no—
867#61681—591nomaximal, Sylow
868C22×C59—21no—
869C22×C59—21no—
870C22×C59—21no—
871C22×C59—21no—
872C22×C59—21no—
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—21no—
878C22×C59—21no—
879C22×C59—21no—
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—41no—
884C22×C59—41no—
885C22×C59—41no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59—41no—
889C22×C59—162no—
890C22×C59C23×D411yescharacteristic
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—41no—
897C4×C59—21no—
898C4×C59—21no—
899C4×C59—21no—
900C4×C59—21no—
901C4×C59—21no—
902C4×C59—21no—
903C4×C59—21no—
904C4×C59—21no—
905C4×C59—21no—
906C4×C59—41no—
907C4×C59—41no—
908C4×C59—41no—
909C4×C59—41no—
910C4×C59—41no—
911C4×C59—41no—
912C4×C59C2×H(5,𝔽2)11yescharacteristic
913C4×C59C2×H(5,𝔽2)11yescharacteristic
914Dic59—22no—
915Dic59—22no—
916Dic59—41no—
917Dic59—41no—
918Dic59—41no—
919Dic59—41no—
920#3551D5911yescharacteristic, complemented
921#3497—591no—
922#3327—591no—
923#3326—591no—
924#3320—591no—
925#3317—591no—
926#3312—591no—
927#3309—591no—
928#3301—591no—
929#3300—591no—
930#3285—591no—
931#3282—591no—
932#3277—591no—
933#3275—591no—
934#3271—591no—
935#3270—591no—
936#3268—591no—
937#3266—591no—
938#3219—591no—
939#3212—591no—
940#3204—591no—
941#3203—591no—
942#3201—591no—
943#3198—591no—
944#3117—591no—
945#3108—591no—
946#3013—591no—
947#3013—591no—
948#3011—591no—
949#3010—591no—
950#2981—591no—
951C2×C59—41no—
952C2×C59—41no—
953C2×C59—41no—
954C2×C59—41no—
955C2×C59—41no—
956C2×C59—81no—
957C2×C59—81no—
958C2×C59#348411yescharacteristic
959C2×C59#358411yescharacteristic
960C2×C59#358611yescharacteristic
961D59—81no—
962D59—81no—
963C2×2−1+4—591no—
964C2×2−1+4—591no—
965C2×#137—591no—
966C2×#137—591no—
967C2×#137—591no—
968C2×AGL(1,ℤ/8)—591no—
969C2×#135—591no—
970C2×#135—591no—
971C22×Q16—591no—
972C22×SD16—591no—
973#563—21no—
974#560—21no—
975#555—21no—
976#553C2×D5911yescharacteristic
977#553C2×D5911yescharacteristic
978#552C2×D5911yescharacteristic
979#552C2×D5911yescharacteristic
980#551—21no—
981#550—591no—
982#550—591no—
983#550—1181no—
984D4×Q8—591no—
985D4×Q8—591no—
986D4×Q8—1181no—
987#548—591no—
988#548—591no—
989#548—591no—
990#548—591no—
991#548—1181no—
992#548—1181no—
993#548C2×D5911yescharacteristic
994#548C2×D5911yescharacteristic
995#546C2×D5911yescharacteristic
996#546C2×D5911yescharacteristic
997#540—21no—
998#540—21no—
999#538—21no—
1000#538—21no—
1001#537—591no—
1002#537—591no—
1003#537—1181no—
1004#537—1181no—
1005#537C2×D5911yescharacteristic
1006#537C2×D5911yescharacteristic
1007#536C2×D5911yescharacteristic
1008#535C2×D5911yescharacteristic
1009#532—591no—
1010#532—1181no—
1011#532—1181no—
1012#532C2×D5911yescharacteristic
1013#529C2×D5911yescharacteristic
1014#529C2×D5911yescharacteristic
1015C2×C4×Q8—591no—
1016#497—591no—
1017#496—591no—
1018#495—591no—
1019#495—591no—
1020#491—591no—
1021#490—591no—
1022#488—591no—
1023#488—591no—
1024#485—591no—
1025#485—591no—
1026#484—591no—
1027#484—591no—
1028#483—591no—
1029#483—591no—
1030#482—591no—
1031#482—591no—
1032#481—591no—
1033#481—591no—
1034#480—591no—
1035#480—591no—
1036#479—591no—
1037#479—591no—
1038#479—591no—
1039#479—591no—
1040#470—591no—
1041#470—591no—
1042#469—591no—
1043#469—591no—
1044#468—591no—
1045#468—591no—
1046#468—591no—
1047#468—591no—
1048#467—591no—
1049#467—591no—
1050#466—591no—
1051#466—591no—
1052#465—591no—
1053#465—591no—
1054#465—591no—
1055#465—591no—
1056#464—591no—
1057#464—591no—
1058#464—591no—
1059#464—591no—
1060#464—591no—
1061#464—591no—
1062#463—591no—
1063#463—591no—
1064#462—591no—
1065#461—591no—
1066#460—591no—
1067#459—591no—
1068#452—591no—
1069#452—591no—
1070#452—591no—
1071#452—591no—
1072#452—591no—
1073#452—591no—
1074#452—591no—
1075#452—591no—
1076#452—591no—
1077#452—591no—
1078#451—591no—
1079#451—591no—
1080#451—591no—
1081#451—591no—
1082#451—591no—
1083#451—591no—
1084#451—591no—
1085#450—591no—
1086#449—591no—
1087#449—591no—
1088#449—591no—
1089#449—591no—
1090#449—591no—
1091#449—591no—
1092#449—591no—
1093#449—591no—
1094#449—591no—
1095#449—591no—
1096#448—591no—
1097#448—591no—
1098#448—591no—
1099#448—591no—
1100#448—591no—
1101#448—591no—
1102#448—591no—
1103#447—591no—
1104#441—591no—
1105#441—591no—
1106#440—591no—
1107#440—591no—
1108C4×Q16—591no—
1109C4×Q16—591no—
1110C4×SD16—591no—
1111C4×SD16—591no—
1112#436—591no—
1113#436—591no—
1114#435—591no—
1115#435—591no—
1116#435—591no—
1117#435—591no—
1118C8×D4—591no—
1119C8×D4—591no—
1120#432—591no—
1121#431—591no—
1122#419—591no—
1123#419—591no—
1124#417—591no—
1125#417—591no—
1126#416—591no—
1127#416—591no—
1128C2×#103—591no—
1129C2×#103—591no—
1130#408—591no—
1131#408—591no—
1132#408—591no—
1133#408—591no—
1134C59#6168111yescharacteristic, complemented, Sylow
11352−1+4—2362no—
11362−1+4—2362no—
11372−1+4—2362no—
11382−1+4—2362no—
1139C2×#41—591no—
1140C2×#41—591no—
1141C2×#41—591no—
1142C2×#41—591no—
1143C2×#41—591no—
1144C2×#41—591no—
1145C2×#41—1181no—
1146C2×#41—1181no—
1147C2×#41—1181no—
1148C2×#41—1181no—
1149C2×#41—1181no—
1150C2×#41—1181no—
1151C2×#41C22×D5911yescharacteristic
1152C2×#41C22×D5911yescharacteristic
1153C2×#41C22×D5911yescharacteristic
1154C2×#41C22×D5911yescharacteristic
1155C22×Q8—591no—
1156C22×Q8—591no—
1157C22×Q8—591no—
1158C22×Q8—591no—
1159C22×Q8—591no—
1160C22×Q8—1181no—
1161C22×Q8—1181no—
1162C22×Q8C22×D5911yescharacteristic
1163C22×D4C22×D5911yescharacteristic
1164#137—2362no—
1165#137—2362no—
1166#137—2362no—
1167AGL(1,ℤ/8)—2362no—
1168#135—2362no—
1169#135—2362no—
1170C2×Q16—591no—
1171C2×Q16—591no—
1172C2×Q16—591no—
1173C2×Q16—591no—
1174C2×Q16—591no—
1175C2×Q16—591no—
1176C2×Q16—591no—
1177C2×Q16—591no—
1178C2×Q16—2362no—
1179C2×SD16—591no—
1180C2×SD16—591no—
1181C2×SD16—591no—
1182C2×SD16—591no—
1183C2×SD16—591no—
1184C2×SD16—591no—
1185C2×SD16—591no—
1186C2×SD16—591no—
1187C2×SD16—591no—
1188C2×SD16—591no—
1189C2×SD16—591no—
1190C2×SD16—591no—
1191C2×SD16—2362no—
1192C2×D8—591no—
1193C2×D8—591no—
1194C2×D8—591no—
1195C2×D8—591no—
1196C2×M16—591no—
1197C2×M16—591no—
1198C2×M16—591no—
1199C2×M16—591no—
1200C22×C8—591no—
1201C22×C8—591no—
1202C22×C8—591no—
1203C22×C8—591no—
1204C4⋊Q8—21no—
1205C4⋊Q8—591no—
1206C4⋊Q8—1181no—
1207C4⋊Q8—1181no—
1208C4⋊Q8C22⋊D5911yescharacteristic
1209#127—21no—
1210#127—591no—
1211#127—1181no—
1212#127—1181no—
1213#127C22⋊D5911yescharacteristic
1214#126—21no—
1215#126—21no—
1216#126—21no—
1217#126—21no—
1218#126—21no—
1219#126—21no—
1220#125—21no—
1221#125—21no—
1222#125C22×D5911yescharacteristic
1223#125C22×D5911yescharacteristic
1224#124—21no—
1225#124—21no—
1226#124—21no—
1227#124—21no—
1228#124—591no—
1229#124—591no—
1230#124—1181no—
1231#124—1181no—
1232#124—1181no—
1233#124—1181no—
1234#124C22⋊D5911yescharacteristic
1235#124C22⋊D5911yescharacteristic
1236#124C22×D5911yescharacteristic
1237#124C22×D5911yescharacteristic
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123—21no—
1242#123—21no—
1243#123—21no—
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248C22⋊Q8—21no—
1249C22⋊Q8—21no—
1250C22⋊Q8—21no—
1251C22⋊Q8—21no—
1252C22⋊Q8—591no—
1253C22⋊Q8—591no—
1254C22⋊Q8—591no—
1255C22⋊Q8—591no—
1256C22⋊Q8—1181no—
1257C22⋊Q8—1181no—
1258C22⋊Q8—1181no—
1259C22⋊Q8—1181no—
1260C22⋊Q8—1181no—
1261C22⋊Q8—1181no—
1262C22⋊Q8—1181no—
1263C22⋊Q8—1181no—
1264C22⋊Q8—1181no—
1265C22⋊Q8—1181no—
1266C22⋊Q8C22×D5911yescharacteristic
1267C22⋊Q8C22×D5911yescharacteristic
1268C22⋊Q8C22×D5911yescharacteristic
1269C22⋊Q8C22×D5911yescharacteristic
1270C22⋊Q8C22×D5911yescharacteristic
1271C22⋊Q8C22×D5911yescharacteristic
1272#121—21no—
1273#121—21no—
1274#121—21no—
1275#121—21no—
1276#121—21no—
1277#121—21no—
1278#121—21no—
1279#121—21no—
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—591no—
1285#121—591no—
1286#121—591no—
1287#121—591no—
1288#121—1181no—
1289#121—1181no—
1290#121—1181no—
1291#121—1181no—
1292#121—1181no—
1293#121—1181no—
1294#121—1181no—
1295#121—1181no—
1296#121—1181no—
1297#121—1181no—
1298#121—1181no—
1299#121—1181no—
1300#121—1181no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121C22⋊D5911yescharacteristic
1305#121C22⋊D5911yescharacteristic
1306#121C22⋊D5911yescharacteristic
1307#121C22⋊D5911yescharacteristic
1308#121C22×D5911yescharacteristic
1309#121C22×D5911yescharacteristic
1310#121C22×D5911yescharacteristic
1311#121C22×D5911yescharacteristic
1312#121C22×D5911yescharacteristic
1313#121C22×D5911yescharacteristic
1314#120—21no—
1315#120—21no—
1316#120—21no—
1317#120—21no—
1318C4×Q8—591no—
1319C4×Q8—591no—
1320C4×Q8—591no—
1321C4×Q8—591no—
1322C4×Q8—1181no—
1323C4×Q8—1181no—
1324C4×Q8C22×D5911yescharacteristic
1325C4×Q8C22×D5911yescharacteristic
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—1181no—
1333C4×D4—1181no—
1334C4×D4—1181no—
1335C4×D4—1181no—
1336C4×D4—1181no—
1337C4×D4—1181no—
1338C4×D4—1181no—
1339C4×D4—1181no—
1340C4×D4—1181no—
1341C4×D4—1181no—
1342C4×D4C22×D5911yescharacteristic
1343C4×D4C22×D5911yescharacteristic
1344C4×D4C22×D5911yescharacteristic
1345C4×D4C22×D5911yescharacteristic
1346C4×D4C22×D5911yescharacteristic
1347C4×D4C22×D5911yescharacteristic
1348#117—21no—
1349#117—21no—
1350#117—21no—
1351#117—21no—
1352#117C22×D5911yescharacteristic
1353#117C22×D5911yescharacteristic
1354C2×C4⋊C4—591no—
1355C2×C4⋊C4—1181no—
1356C2×C4⋊C4C22×D5911yescharacteristic
1357C2×C4⋊C4C22×D5911yescharacteristic
1358C2×C22⋊C4—21no—
1359C2×C22⋊C4—21no—
1360C2×C42—1181no—
1361C2×C42C22×D5911yescharacteristic
1362#107—591no—
1363#107—591no—
1364#107—591no—
1365#107—591no—
1366#106—591no—
1367#106—591no—
1368#106—591no—
1369#106—591no—
1370C4⋊C8—591no—
1371C4⋊C8—591no—
1372C4⋊C8—591no—
1373C4⋊C8—591no—
1374#103—591no—
1375#103—591no—
1376#103—591no—
1377#103—591no—
1378#103—591no—
1379#103—591no—
1380#103—591no—
1381#103—591no—
1382#103—591no—
1383#103—591no—
1384#103—591no—
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103—591no—
1393#103—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406C22⋊C8—591no—
1407C22⋊C8—591no—
1408C22⋊C8—591no—
1409C22⋊C8—591no—
1410C22⋊C8—591no—
1411C22⋊C8—591no—
1412C22⋊C8—591no—
1413C22⋊C8—591no—
1414C22⋊C8—591no—
1415C22⋊C8—591no—
1416C22⋊C8—591no—
1417C22⋊C8—591no—
1418#97—591no—
1419#97—591no—
1420C4×C8—591no—
1421C4×C8—591no—
1422C24—21no—
1423#41—41no—
1424#41—41no—
1425#41—41no—
1426#41—41no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—1182no—
1432#41—1182no—
1433#41—1182no—
1434#41—1182no—
1435#41—2361no—
1436#41—2361no—
1437#41—2361no—
1438#41—2361no—
1439#41—2361no—
1440#41—2361no—
1441#41—2361no—
1442#41—2361no—
1443#41—2364no—
1444#41—2364no—
1445#41—2364no—
1446#41—2364no—
1447#41—2364no—
1448#41—2364no—
1449C2×Q8—21no—
1450C2×Q8—41no—
1451C2×Q8—41no—
1452C2×Q8—591no—
1453C2×Q8—591no—
1454C2×Q8—591no—
1455C2×Q8—591no—
1456C2×Q8—1182no—
1457C2×Q8—1182no—
1458C2×Q8—1182no—
1459C2×Q8—1182no—
1460C2×Q8—1182no—
1461C2×Q8—1182no—
1462C2×Q8—1181no—
1463C2×Q8—1181no—
1464C2×Q8—1181no—
1465C2×Q8—1181no—
1466C2×Q8—1181no—
1467C2×Q8—2361no—
1468C2×Q8—2361no—
1469C2×Q8—2361no—
1470C2×Q8—2361no—
1471C2×Q8—2364no—
1472C2×Q8—2364no—
1473C2×Q8C2×C22⋊D5911yescharacteristic
1474C2×Q8C2×C22⋊D5911yescharacteristic
1475C2×Q8C23×D5911yescharacteristic
1476C2×Q8C23×D5911yescharacteristic
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—41no—
1487C2×D4—41no—
1488C2×D4—591no—
1489C2×D4—591no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4C2×C22⋊D5911yescharacteristic
1503C2×D4C2×C22⋊D5911yescharacteristic
1504C2×D4C2×C22⋊D5911yescharacteristic
1505C2×D4C2×C22⋊D5911yescharacteristic
1506C2×D4C2×C22⋊D5911yescharacteristic
1507C2×D4C2×C22⋊D5911yescharacteristic
1508C2×D4C2×C22⋊D5911yescharacteristic
1509C2×D4C2×C22⋊D5911yescharacteristic
1510C2×D4C2×C22⋊D5911yescharacteristic
1511C2×D4C2×C22⋊D5911yescharacteristic
1512C2×D4C23×D5911yescharacteristic
1513C2×D4C23×D5911yescharacteristic
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—1181no—
1522C22×C4—1181no—
1523C22×C4—1181no—
1524C22×C4—1181no—
1525C22×C4—1181no—
1526C22×C4—1181no—
1527C22×C4—1181no—
1528C22×C4—1181no—
1529C22×C4—1181no—
1530C22×C4—1181no—
1531C22×C4—1181no—
1532C22×C4—1181no—
1533C22×C4C2×C22⋊D5911yescharacteristic
1534C22×C4C2×C22⋊D5911yescharacteristic
1535C22×C4C23×D5911yescharacteristic
1536C22×C4C23×D5911yescharacteristic
1537C22×C4C23×D5911yescharacteristic
1538C22×C4C23×D5911yescharacteristic
1539C22×C4C23×D5911yescharacteristic
1540Q16—1182no—
1541Q16—1182no—
1542Q16—1182no—
1543Q16—1182no—
1544Q16—2361no—
1545Q16—2361no—
1546Q16—2361no—
1547Q16—2361no—
1548SD16—1182no—
1549SD16—1182no—
1550SD16—1182no—
1551SD16—1182no—
1552SD16—2361no—
1553SD16—2361no—
1554SD16—2361no—
1555SD16—2361no—
1556SD16—2361no—
1557SD16—2361no—
1558SD16—2361no—
1559SD16—2361no—
1560D8—2361no—
1561D8—2361no—
1562D8—2361no—
1563D8—2361no—
1564M16—2361no—
1565M16—2361no—
1566M16—2361no—
1567M16—2361no—
1568C2×C8—591no—
1569C2×C8—591no—
1570C2×C8—591no—
1571C2×C8—591no—
1572C2×C8—591no—
1573C2×C8—591no—
1574C2×C8—591no—
1575C2×C8—591no—
1576C2×C8—2361no—
1577C2×C8—2361no—
1578C2×C8—2361no—
1579C2×C8—2361no—
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—591no—
1595C4⋊C4—591no—
1596C4⋊C4—1181no—
1597C4⋊C4—1181no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4C2×C22⋊D5911yescharacteristic
1608C4⋊C4C2×C22⋊D5911yescharacteristic
1609C4⋊C4C2×C22⋊D5911yescharacteristic
1610C4⋊C4C2×C22⋊D5911yescharacteristic
1611C4⋊C4C23×D5911yescharacteristic
1612C4⋊C4C23×D5911yescharacteristic
1613C4⋊C4C23×D5911yescharacteristic
1614C4⋊C4C23×D5911yescharacteristic
1615C22⋊C4—21no—
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—21no—
1634C22⋊C4—21no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4C2×C22⋊D5911yescharacteristic
1648C22⋊C4C2×C22⋊D5911yescharacteristic
1649C22⋊C4C2×C22⋊D5911yescharacteristic
1650C22⋊C4C2×C22⋊D5911yescharacteristic
1651C22⋊C4C2×C22⋊D5911yescharacteristic
1652C22⋊C4C2×C22⋊D5911yescharacteristic
1653C22⋊C4C2×C22⋊D5911yescharacteristic
1654C22⋊C4C2×C22⋊D5911yescharacteristic
1655C42—21no—
1656C42—21no—
1657C42—21no—
1658C42—21no—
1659C42—1181no—
1660C42—1181no—
1661C42—1181no—
1662C42—1181no—
1663C42C2×C22⋊D5911yescharacteristic
1664C42C2×C22⋊D5911yescharacteristic
1665C42C23×D5911yescharacteristic
1666C42C23×D5911yescharacteristic
1667C23—21no—
1668C23—21no—
1669C23—81no—
1670C23—81no—
1671C23—81no—
1672C23—1181no—
1673C23—1181no—
1674C23C22×C22⋊D5911yescharacteristic
1675C23C22×C22⋊D5911yescharacteristic
1676C23C22×C22⋊D5911yescharacteristic
1677C23C22×C22⋊D5911yescharacteristic
1678C23C22×C22⋊D5911yescharacteristic
1679Q8—21no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—41no—
1684Q8—41no—
1685Q8—81no—
1686Q8—592no—
1687Q8—592no—
1688Q8—1184no—
1689Q8—1181no—
1690Q8—1181no—
1691Q8—1181no—
1692Q8—1181no—
1693Q8—1181no—
1694Q8—1181no—
1695Q8—2362no—
1696Q8—2362no—
1697Q8—2362no—
1698Q8—2362no—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—21no—
1703D4—41no—
1704D4—41no—
1705D4—41no—
1706D4—41no—
1707D4—41no—
1708D4—41no—
1709D4—41no—
1710D4—41no—
1711D4—41no—
1712D4—41no—
1713D4—81no—
1714D4—81no—
1715D4—81no—
1716D4—81no—
1717D4—81no—
1718D4—81no—
1719D4—81no—
1720D4—81no—
1721D4—81no—
1722D4—1181no—
1723D4—1181no—
1724D4—1181no—
1725D4—1181no—
1726D4—4721no—
1727D4—4721no—
1728D4—4721no—
1729D4—4721no—
1730D4—4721no—
1731D4—2362no—
1732D4—2362no—
1733D4—2362no—
1734D4—2362no—
1735D4—2362no—
1736D4—2362no—
1737D4—2362no—
1738C2×C4—21no—
1739C2×C4—21no—
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—41no—
1755C2×C4—41no—
1756C2×C4—81no—
1757C2×C4—81no—
1758C2×C4—81no—
1759C2×C4—81no—
1760C2×C4—81no—
1761C2×C4—81no—
1762C2×C4—81no—
1763C2×C4—1184no—
1764C2×C4—1181no—
1765C2×C4—1181no—
1766C2×C4—1181no—
1767C2×C4—1181no—
1768C2×C4—1181no—
1769C2×C4—1181no—
1770C2×C4—4721no—
1771C2×C4—2362no—
1772C2×C4—2362no—
1773C2×C4—2362no—
1774C2×C4—2362no—
1775C2×C4—2362no—
1776C2×C4—2362no—
1777C2×C4—2362no—
1778C2×C4—2362no—
1779C2×C4—2362no—
1780C2×C4—2362no—
1781C2×C4C22×C22⋊D5911yescharacteristic
1782C2×C4C22×C22⋊D5911yescharacteristic
1783C2×C4C22×C22⋊D5911yescharacteristic
1784C2×C4C22×C22⋊D5911yescharacteristic
1785C2×C4C22×C22⋊D5911yescharacteristic
1786C2×C4C22×C22⋊D5911yescharacteristic
1787C2×C4C22×C22⋊D5911yescharacteristic
1788C2×C4C22×C22⋊D5911yescharacteristic
1789C2×C4C22×C22⋊D5911yescharacteristic
1790C2×C4C24×D5911yescharacteristic
1791C8—1181no—
1792C8—1181no—
1793C8—1181no—
1794C8—1181no—
1795C8—1181no—
1796C8—1181no—
1797C8—1181no—
1798C8—1181no—
1799C22—21no—
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—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—162no—
1821C22—2361no—
1822C22—2361no—
1823C22—2361no—
1824C22—2361no—
1825C22—2361no—
1826C22—2361no—
1827C22C23×C22⋊D5911yescharacteristic
1828C4—21no—
1829C4—21no—
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—1182no—
1844C4—1182no—
1845C4—2361no—
1846C4—2361no—
1847C4—2361no—
1848C4—2361no—
1849C4H(5,𝔽2)×D5911yescharacteristic
1850C4H(5,𝔽2)×D5911yescharacteristic
1851C2—41no—
1852C2—41no—
1853C2—41no—
1854C2—41no—
1855C2—41no—
1856C2—81no—
1857C2—81no—
1858C2—4721no—
1859C2—4721no—
1860C2#2143772711yescharacteristic
1861C2#2143886711yescharacteristic
1862C2#2143888211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3551C2
socleC22×C59C23×D4
hypercenter#3551D59
hypocenterC59#61681
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #532 ◁ #3551

Complements

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

NH ≅ G/Ntype
1. #21437862C2semidirect
2. #21436358C2semidirect
3. #21436343C2semidirect
4. #21436261C2semidirect
5. #21436216C2semidirect
6. #21436141C2semidirect
7. #21436096C2semidirect
8. #21435992C2semidirect
9. #21435977C2semidirect
10. #21435833C2semidirect
11. #21435799C2semidirect
12. #21435749C2semidirect
13. #21435723C2semidirect
14. #21435682C2semidirect
15. #21435662C2semidirect
16. #21435632C2semidirect
17. #21435602C2semidirect
18. #21435129C2semidirect
19. #21435068C2semidirect
20. #21435002C2semidirect
21. #21434993C2semidirect
22. #21434978C2semidirect
23. #21434948C2semidirect
24. #21434263C2semidirect
25. #21434172C2semidirect
26. #21433408C2semidirect
27. #21433408C2semidirect
28. #21433389C2semidirect
29. #21433380C2semidirect
30. #21433172C2semidirect
31. C59×#3551C2semidirect
33. C2×#14273774C22semidirect
34. C2×#14273758C22semidirect
40. C22×#11745672C22semidirect
43. #16838073C22semidirect
46. D4×Dic118C22semidirect
50. #16838061C22semidirect
51. #16838061C22semidirect
55. #16837980C22semidirect
58. #16837952C22semidirect
61. C2×C4×Dic118C22semidirect
66. #16837772C22semidirect
67. #16837768C22semidirect
68. #16837759C22semidirect
69. #16837759C22semidirect
71. #16837743C22semidirect
72. #16837737C22semidirect
73. #16837735C22semidirect
74. #16837732C22semidirect
75. #16837730C22semidirect
77. #16837726C22semidirect
78. #16837720C22semidirect
80. #16837715C22semidirect
82. #16837706C22semidirect
83. #16837706C22semidirect
84. #16837706C22semidirect
85. #16837706C22semidirect
87. #16837658C22semidirect
91. #16837650C22semidirect
95. #16837641C22semidirect
99. #16837633C22semidirect
102. #16837624C22semidirect
103. #16837624C22semidirect
110. #16837612C22semidirect
112. #16837602C22semidirect
118. #16837562C22semidirect
119. #16837562C22semidirect
120. #16837562C22semidirect
121. #16837562C22semidirect
122. #16837562C22semidirect
123. #16837562C22semidirect
124. #16837558C22semidirect
127. #16837557C22semidirect
128. #16837557C22semidirect
129. #16837557C22semidirect
130. #16837557C22semidirect
142. #16837541C22semidirect
150. #16837507C22semidirect
151. #16837507C22semidirect
154. C4×#11745672C22semidirect
155. C4×#11745672C22semidirect
159. #16837480C22semidirect
162. #16837474C22semidirect
163. #16837474C22semidirect
165. D4×C59⋊C8C22semidirect
166. #16837459C22semidirect
167. #16837455C22semidirect
169. #16837410C22semidirect
170. #16837401C22semidirect
171. #16837401C22semidirect
173. #16837396C22semidirect
174. C2×#14273650C22semidirect
175. C2×#14273650C22semidirect
178. #16837369C22semidirect
179. #16837369C22semidirect
920. #3551D59semidirect
1134. C59#61681semidirect

Maximal subgroups

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

subgroupindex
#214378622
#214363582
#214363432
#214362612
#214362162
#214361412
#214360962
#214359922
#214359772
#214358332
#214357992
#214357492
#214357232
#214356822
#214356622
#214356322
#214356022
#214351292
#214350682
#214350022
#214349932
#214349782
#214349482
#214342632
#214341722
#214334082
#214333892
#214333802
#214331722
C59×#35512
#6168159