Finite Group Databasebeta

← #29475697

Subgroups — #29475697

Order 15104.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437858C211yesmaximal, characteristic, complemented
2#21436306C211yesmaximal, characteristic, complemented
3#21436291C211yesmaximal, characteristic, complemented
4#21436231C211yesmaximal, characteristic, complemented
5#21436186C211yesmaximal, characteristic, complemented
6#21436111C211yesmaximal, characteristic, complemented
7#21436066C211yesmaximal, characteristic, complemented
8#21435940C211yesmaximal, characteristic, complemented
9#21435925C211yesmaximal, characteristic, complemented
10#21435804C211yesmaximal, characteristic, complemented
11#21435777C211yesmaximal, characteristic, complemented
12#21435728C211yesmaximal, characteristic, complemented
13#21435703C211yesmaximal, characteristic, complemented
14#21435652C211yesmaximal, characteristic, complemented
15#21435617C211yesmaximal, characteristic, complemented
16#21435592C211yesmaximal, characteristic, complemented
17#21435577C211yesmaximal, 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#21434230C211yesmaximal, characteristic, complemented
25#21434139C211yesmaximal, characteristic, complemented
26#21433397C211yesmaximal, characteristic, complemented
27#21433397C211yesmaximal, characteristic, complemented
28#21433371C211yesmaximal, characteristic, complemented
29#21433362C211yesmaximal, characteristic, complemented
30#21433172C211yesmaximal, characteristic, complemented
31C59×#3551C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#14273773C2211yescharacteristic, complemented
34C2×#14273758C2211yescharacteristic, complemented
35C2×#14273753C2211yescharacteristic, complemented
36C2×#14273752C2211yescharacteristic, complemented
37C2×#14273752C2211yescharacteristic, complemented
38C2×#14273747C2211yescharacteristic, complemented
39C2×#14273747C2211yescharacteristic, complemented
40C22×#11745671C2211yescharacteristic, complemented
41C22×#11745669C2211yescharacteristic, complemented
42#16838057C2211yescharacteristic
43#16838057C2211yescharacteristic, complemented
44#16838055—21no—
45#16838048C2211yescharacteristic
46#16838048C2211yescharacteristic
47#16838048C2211yescharacteristic, complemented
48#16838048C2211yescharacteristic, complemented
49#16838045—21no—
50#16838045—21no—
51D4×D236C2211yescharacteristic
52D4×D236C2211yescharacteristic, complemented
53#16838037—21no—
54#16837980C2211yescharacteristic
55#16837980C2211yescharacteristic, complemented
56#16837960—21no—
57#16837960—21no—
58#16837952C2211yescharacteristic, complemented
59#121×D59—21no—
60#121×D59—21no—
61C2×C4×D236C2211yescharacteristic, complemented
62#16837797C2211yescharacteristic, complemented
63#16837792C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic, complemented
65#16837784C2211yescharacteristic, complemented
66#16837772C2211yescharacteristic, complemented
67#16837768C2211yescharacteristic, complemented
68#16837759C2211yescharacteristic, complemented
69#16837759C2211yescharacteristic, complemented
70#16837743C2211yescharacteristic, complemented
71#16837743C2211yescharacteristic, complemented
72#16837737C2211yescharacteristic, complemented
73#16837735C2211yescharacteristic, complemented
74#16837732C2211yescharacteristic, complemented
75#16837730C2211yescharacteristic, complemented
76#16837726C2211yescharacteristic, complemented
77#16837726C2211yescharacteristic, complemented
78#16837720C2211yescharacteristic, complemented
79#16837718C2211yescharacteristic, complemented
80#16837715C2211yescharacteristic, complemented
81#16837713C2211yescharacteristic, complemented
82#16837699C2211yescharacteristic, complemented
83#16837699C2211yescharacteristic, complemented
84#16837699C2211yescharacteristic, complemented
85#16837699C2211yescharacteristic, complemented
86#16837658C2211yescharacteristic, complemented
87#16837658C2211yescharacteristic, complemented
88#16837653C2211yescharacteristic, complemented
89#16837653C2211yescharacteristic, complemented
90#16837650C2211yescharacteristic, complemented
91#16837650C2211yescharacteristic, complemented
92#16837646C2211yescharacteristic, complemented
93#16837646C2211yescharacteristic, complemented
94#16837641C2211yescharacteristic, complemented
95#16837641C2211yescharacteristic, complemented
96#16837636C2211yescharacteristic, complemented
97#16837636C2211yescharacteristic, complemented
98#16837633C2211yescharacteristic, complemented
99#16837633C2211yescharacteristic, complemented
100#16837629C2211yescharacteristic, complemented
101#16837629C2211yescharacteristic, complemented
102#16837624C2211yescharacteristic, complemented
103#16837624C2211yescharacteristic, complemented
104#16837617C2211yescharacteristic, complemented
105#16837617C2211yescharacteristic, complemented
106#16837614C2211yescharacteristic, complemented
107#16837614C2211yescharacteristic, complemented
108#16837614C2211yescharacteristic, complemented
109#16837614C2211yescharacteristic, complemented
110#16837612C2211yescharacteristic, complemented
111#16837607C2211yescharacteristic, complemented
112#16837602C2211yescharacteristic, complemented
113#16837597C2211yescharacteristic, complemented
114#16837564C2211yescharacteristic, complemented
115#16837564C2211yescharacteristic, complemented
116#16837562C2211yescharacteristic, complemented
117#16837562C2211yescharacteristic, complemented
118#16837562C2211yescharacteristic, complemented
119#16837562C2211yescharacteristic, complemented
120#16837562C2211yescharacteristic, complemented
121#16837562C2211yescharacteristic, complemented
122#16837562C2211yescharacteristic, complemented
123#16837562C2211yescharacteristic, complemented
124#16837558C2211yescharacteristic, complemented
125#16837553C2211yescharacteristic, complemented
126#16837552C2211yescharacteristic, complemented
127#16837552C2211yescharacteristic, complemented
128#16837552C2211yescharacteristic, complemented
129#16837552C2211yescharacteristic, complemented
130#16837552C2211yescharacteristic, complemented
131#16837552C2211yescharacteristic, complemented
132#16837547C2211yescharacteristic, complemented
133#16837547C2211yescharacteristic, complemented
134#16837545C2211yescharacteristic, complemented
135#16837545C2211yescharacteristic, complemented
136#16837545C2211yescharacteristic, complemented
137#16837545C2211yescharacteristic, complemented
138#16837545C2211yescharacteristic, complemented
139#16837545C2211yescharacteristic, complemented
140#16837545C2211yescharacteristic, complemented
141#16837545C2211yescharacteristic, complemented
142#16837541C2211yescharacteristic, complemented
143#16837536C2211yescharacteristic, complemented
144#16837535C2211yescharacteristic
145#16837535C2211yescharacteristic
146#16837535C2211yescharacteristic, complemented
147#16837535C2211yescharacteristic, complemented
148#16837535C2211yescharacteristic, complemented
149#16837535C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic, complemented
151#16837512C2211yescharacteristic, complemented
152#16837500C2211yescharacteristic, complemented
153#16837500C2211yescharacteristic, complemented
154C4×#11745671C2211yescharacteristic, complemented
155C4×#11745671C2211yescharacteristic, complemented
156C4×#11745669C2211yescharacteristic, complemented
157C4×#11745669C2211yescharacteristic, complemented
158#16837480C2211yescharacteristic, complemented
159#16837480C2211yescharacteristic, complemented
160#16837474C2211yescharacteristic, complemented
161#16837474C2211yescharacteristic, complemented
162#16837474C2211yescharacteristic, complemented
163#16837474C2211yescharacteristic, complemented
164D4×C59⋊C8C2211yescharacteristic, complemented
165D4×C59⋊C8C2211yescharacteristic, complemented
166#16837459C2211yescharacteristic, complemented
167#16837455C2211yescharacteristic, complemented
168#16837406C2211yescharacteristic, complemented
169#16837406C2211yescharacteristic, complemented
170#16837401C2211yescharacteristic, complemented
171#16837401C2211yescharacteristic, complemented
172#16837396C2211yescharacteristic, complemented
173#16837396C2211yescharacteristic, complemented
174C2×#14273647C2211yescharacteristic, complemented
175C2×#14273647C2211yescharacteristic, complemented
176#16837369C2211yescharacteristic, complemented
177#16837369C2211yescharacteristic, complemented
178#16837369C2211yescharacteristic, complemented
179#16837369C2211yescharacteristic, complemented
180C59×#563—21no—
181C59×#560—21no—
182C59×#555—21no—
183C59×#553C2211yescharacteristic, complemented
184C59×#553C2211yescharacteristic, complemented
185C59×#552C2211yescharacteristic, complemented
186C59×#552C2211yescharacteristic, complemented
187C59×#551—21no—
188C59×#548C2211yescharacteristic, complemented
189C59×#548C2211yescharacteristic, complemented
190C59×#546C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic, complemented
192C59×#540—21no—
193C59×#540—21no—
194C59×#538—21no—
195C59×#538—21no—
196C59×#537C2211yescharacteristic, complemented
197C59×#537C2211yescharacteristic, complemented
198C59×#536C2211yescharacteristic, complemented
199C59×#535C2211yescharacteristic, complemented
200C59×#532C2211yescharacteristic
201C59×#529C2211yescharacteristic, complemented
202C59×#529C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205#14273773—42no—
206#14273773—42no—
207C2×#11745689—21no—
208C2×#11745689—21no—
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C22×D236C2311yescharacteristic
216C22×D236C2311yescharacteristic
217C22×D236C2311yescharacteristic
218C22×D236C2311yescharacteristic
219C22×D236C2311yescharacteristic
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C22×C4×D59—21no—
229#14273758—42no—
230#14273753—42no—
231#14273752—42no—
232#14273752—42no—
233#14273747—42no—
234#14273747—42no—
235C2×#11745672C2311yescharacteristic
236C2×#11745672C2311yescharacteristic
237C2×#11745672C2311yescharacteristic
238C2×#11745672C2311yescharacteristic
239C2×#11745670C2311yescharacteristic
240C2×#11745670C2311yescharacteristic
241C2×#11745670C2311yescharacteristic
242C2×#11745670C2311yescharacteristic
243C2×#11745671—42no—
244C2×#11745671C2311yescharacteristic
245C2×#11745671C2311yescharacteristic
246C2×#11745671C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252C2×#11745669—42no—
253C2×#11745669C2311yescharacteristic
254C2×#11745669C2311yescharacteristic
255C2×#11745669C2311yescharacteristic
256C2×#11745669C2311yescharacteristic
257C2×#11745669C2311yescharacteristic
258C2×#11745669C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745664C2311yescharacteristic
262C2×#11745664C2311yescharacteristic
263C2×#11745664C2311yescharacteristic
264C2×#11745664C2311yescharacteristic
265C22×C59⋊C8C2311yescharacteristic
266C22×C59⋊C8C2311yescharacteristic
267C22×C59⋊C8C2311yescharacteristic
268C22×C59⋊C8C2311yescharacteristic
269#14273727C2311yescharacteristic
270#14273724C2311yescharacteristic
271#14273715C2311yescharacteristic
272#14273715C2311yescharacteristic
273#14273712—21no—
274#14273712—21no—
275#14273712—21no—
276#14273712—21no—
277#14273709—21no—
278#14273709—21no—
279#14273709—21no—
280#14273709—21no—
281#14273706C2311yescharacteristic
282#14273706C2311yescharacteristic
283#14273706C2311yescharacteristic
284#14273706C2311yescharacteristic
285#14273703—21no—
286#14273703—21no—
287#14273702—21no—
288#14273702—21no—
289#14273701—21no—
290#14273701—21no—
291#14273701C2311yescharacteristic
292#14273701C2311yescharacteristic
293#14273701C2311yescharacteristic
294#14273701C2311yescharacteristic
295#14273700—21no—
296#14273700—21no—
297#14273700—21no—
298#14273700—21no—
299#14273699—21no—
300#14273699—21no—
301#14273699—21no—
302#14273699—21no—
303#14273698—21no—
304#14273698—21no—
305#14273698—21no—
306#14273698—21no—
307#14273697—21no—
308#14273697—21no—
309#14273697—21no—
310#14273697—21no—
311#14273695—21no—
312#14273695—21no—
313#14273695—21no—
314#14273695—21no—
315C4×D236—21no—
316C4×D236—21no—
317C4×D236—21no—
318C4×D236—21no—
319C4×D236C2311yescharacteristic
320C4×D236C2311yescharacteristic
321C4×D236C2311yescharacteristic
322C4×D236C2311yescharacteristic
323C2×C4⋊Dic59C2311yescharacteristic
324C4⋊C4×D59—21no—
325C4⋊C4×D59—21no—
326C2×(C2×D59)⋊C4—21no—
327C22⋊C4×D59—21no—
328C22⋊C4×D59—21no—
329C22⋊C4×D59—21no—
330C22⋊C4×D59—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#14273648C2311yescharacteristic
356#14273648C2311yescharacteristic
357#14273648C2311yescharacteristic
358#14273648C2311yescharacteristic
359#14273647C2311yescharacteristic
360#14273647C2311yescharacteristic
361#14273647C2311yescharacteristic
362#14273647C2311yescharacteristic
363#14273647C2311yescharacteristic
364#14273647C2311yescharacteristic
365#14273647C2311yescharacteristic
366#14273647C2311yescharacteristic
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—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499#41×C59—41no—
500#41×C59—41no—
501#41×C59—41no—
502#41×C59—41no—
503#41×C59—41no—
504C2×Q8×C59—21no—
505C2×Q8×C59—41no—
506C2×Q8×C59—41no—
507C2×Q8×C59C2×D411yescharacteristic
508C2×Q8×C59C2×D411yescharacteristic
509C2×Q8×C59C2411yescharacteristic
510C2×Q8×C59C2411yescharacteristic
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59—21no—
514C2×D4×C59—21no—
515C2×D4×C59—21no—
516C2×D4×C59—21no—
517C2×D4×C59—21no—
518C2×D4×C59—21no—
519C2×D4×C59—21no—
520C2×D4×C59—41no—
521C2×D4×C59—41no—
522C2×D4×C59C2×D411yescharacteristic
523C2×D4×C59C2×D411yescharacteristic
524C2×D4×C59C2×D411yescharacteristic
525C2×D4×C59C2×D411yescharacteristic
526C2×D4×C59C2×D411yescharacteristic
527C2×D4×C59C2×D411yescharacteristic
528C2×D4×C59C2×D411yescharacteristic
529C2×D4×C59C2×D411yescharacteristic
530C2×D4×C59C2×D411yescharacteristic
531C2×D4×C59C2×D411yescharacteristic
532C2×D4×C59C2411yescharacteristic
533C2×D4×C59C2411yescharacteristic
534C22×C4×C59—21no—
535C22×C4×C59—21no—
536C22×C4×C59—21no—
537C22×C4×C59—21no—
538C22×C4×C59—21no—
539C22×C4×C59—21no—
540C22×C4×C59—21no—
541C22×C4×C59C2×D411yescharacteristic
542C22×C4×C59C2×D411yescharacteristic
543C22×C4×C59C2411yescharacteristic
544C22×C4×C59C2411yescharacteristic
545C22×C4×C59C2411yescharacteristic
546C22×C4×C59C2411yescharacteristic
547C22×C4×C59C2411yescharacteristic
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C2×C22⋊D59—21no—
551C2×C22⋊D59—21no—
552C2×C22⋊D59—21no—
553C2×C22⋊D59—21no—
554C2×C22⋊D59—21no—
555C2×C22⋊D59—21no—
556C2×C22⋊D59—21no—
557C2×C22⋊D59—21no—
558C22×Dic59—21no—
559#11745689—44no—
560#11745689—44no—
561D4×D59—44no—
562D4×D59—44no—
563D4×D59—44no—
564D4×D59—44no—
565D4×D59—44no—
566D4×D59—44no—
567D4×D59—82no—
568D4×D59—82no—
569#11745685—22no—
570#11745685—22no—
571#11745685—22no—
572#11745685—22no—
573#11745685—41no—
574#11745685—41no—
575#11745685—41no—
576#11745685—41no—
577#11745685—41no—
578#11745685—41no—
579#11745685—41no—
580#11745685—41no—
581C2×D236—21no—
582C2×D236—22no—
583C2×D236—22no—
584C2×D236—22no—
585C2×D236—22no—
586C2×D236—22no—
587C2×D236—22no—
588C2×D236—21no—
589C2×D236—21no—
590C2×D236—21no—
591C2×D236—21no—
592C2×D236—21no—
593C2×D236—21no—
594C2×D236—41no—
595C2×D236—41no—
596C2×D236—41no—
597C2×D236—41no—
598C2×D236C2411yescharacteristic
599C2×D236C2411yescharacteristic
600C2×D236C2411yescharacteristic
601C2×D236C2411yescharacteristic
602C2×C4×D59—21no—
603C2×C4×D59—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—21no—
610C2×C4×D59—21no—
611C2×C4×D59—21no—
612C2×C4×D59—82no—
613C2×Dic118C2411yescharacteristic
614C2×Dic118C2411yescharacteristic
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×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59—21no—
626C4⋊C4×C59—21no—
627C4⋊C4×C59—21no—
628C4⋊C4×C59—21no—
629C4⋊C4×C59C2×D411yescharacteristic
630C4⋊C4×C59C2×D411yescharacteristic
631C4⋊C4×C59C2×D411yescharacteristic
632C4⋊C4×C59C2×D411yescharacteristic
633C4⋊C4×C59C2411yescharacteristic
634C4⋊C4×C59C2411yescharacteristic
635C4⋊C4×C59C2411yescharacteristic
636C4⋊C4×C59C2411yescharacteristic
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×C59—21no—
651C22⋊C4×C59—21no—
652C22⋊C4×C59—21no—
653C22⋊C4×C59—21no—
654C22⋊C4×C59—21no—
655C22⋊C4×C59—21no—
656C22⋊C4×C59—21no—
657C22⋊C4×C59C2×D411yescharacteristic
658C22⋊C4×C59C2×D411yescharacteristic
659C22⋊C4×C59C2×D411yescharacteristic
660C22⋊C4×C59C2×D411yescharacteristic
661C22⋊C4×C59C2×D411yescharacteristic
662C22⋊C4×C59C2×D411yescharacteristic
663C22⋊C4×C59C2×D411yescharacteristic
664C22⋊C4×C59C2×D411yescharacteristic
665C42×C59—21no—
666C42×C59—21no—
667C42×C59—21no—
668C42×C59—21no—
669C42×C59C2×D411yescharacteristic
670C42×C59C2×D411yescharacteristic
671C42×C59C2411yescharacteristic
672C42×C59C2411yescharacteristic
673C22⋊Dic59—21no—
674C22⋊Dic59—21no—
675C22⋊Dic59—21no—
676C22⋊Dic59—21no—
677#11745672—41no—
678#11745672—41no—
679#11745672—41no—
680#11745672—41no—
681#11745671—22no—
682#11745671—22no—
683#11745671—22no—
684#11745671—22no—
685#11745671—41no—
686#11745671—41no—
687#11745671—41no—
688#11745671—41no—
689#11745670—41no—
690#11745670—41no—
691#11745670—41no—
692#11745670—41no—
693#11745669—22no—
694#11745669—22no—
695#11745669—22no—
696#11745669—22no—
697#11745669—41no—
698#11745669—41no—
699#11745669—41no—
700#11745669—41no—
701(C2×D59)⋊C4—21no—
702(C2×D59)⋊C4—21no—
703(C2×D59)⋊C4—21no—
704(C2×D59)⋊C4—21no—
705(C2×D59)⋊C4—21no—
706(C2×D59)⋊C4—21no—
707(C2×D59)⋊C4—21no—
708(C2×D59)⋊C4—21no—
709(C2×D59)⋊C4—21no—
710(C2×D59)⋊C4—21no—
711(C2×D59)⋊C4—21no—
712(C2×D59)⋊C4—21no—
713C4⋊Dic59—21no—
714C4⋊Dic59—21no—
715C4⋊Dic59—21no—
716C4⋊Dic59C2411yescharacteristic
717C4⋊Dic59C2411yescharacteristic
718Dic59⋊C4—21no—
719Dic59⋊C4—21no—
720Dic59⋊C4—21no—
721Dic59⋊C4—21no—
722#11745664—41no—
723#11745664—41no—
724#11745664—41no—
725#11745664—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8—41no—
728C2×C59⋊C8—41no—
729C2×C59⋊C8—41no—
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733C2×C59⋊C8C2411yescharacteristic
734C2×C59⋊C8C2411yescharacteristic
735C2×C59⋊C8C2411yescharacteristic
736C2×C59⋊C8C2411yescharacteristic
737C2×C59⋊C8C2411yescharacteristic
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—81no—
741C23×C59—81no—
742C23×C59—81no—
743C23×C59C22×D411yescharacteristic
744C23×C59C22×D411yescharacteristic
745C23×C59C22×D411yescharacteristic
746C23×C59C22×D411yescharacteristic
747C23×C59C22×D411yescharacteristic
748C22×D59—21no—
749C22×D59—21no—
750C22×D59—24no—
751C22×D59—21no—
752C22×D59—21no—
753C22×D59—42no—
754C22×D59—42no—
755C22×D59—42no—
756C22×D59—42no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59—81no—
766C22×D59—81no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—21no—
770Q8×C59—21no—
771Q8×C59—41no—
772Q8×C59—41no—
773Q8×C59—81no—
774D4×C59—21no—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—41no—
779D4×C59—41no—
780D4×C59—41no—
781D4×C59—41no—
782D4×C59—41no—
783D4×C59—41no—
784D4×C59—41no—
785D4×C59—41no—
786D4×C59—41no—
787D4×C59—41no—
788D4×C59—81no—
789D4×C59—81no—
790D4×C59—81no—
791D4×C59—81no—
792D4×C59—81no—
793D4×C59—81no—
794D4×C59—81no—
795D4×C59—81no—
796D4×C59—81no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—21no—
802C2×C4×C59—21no—
803C2×C4×C59—21no—
804C2×C4×C59—21no—
805C2×C4×C59—21no—
806C2×C4×C59—21no—
807C2×C4×C59—21no—
808C2×C4×C59—21no—
809C2×C4×C59—21no—
810C2×C4×C59—21no—
811C2×C4×C59—21no—
812C2×C4×C59—21no—
813C2×C4×C59—41no—
814C2×C4×C59—41no—
815C2×C4×C59—81no—
816C2×C4×C59—81no—
817C2×C4×C59—81no—
818C2×C4×C59—81no—
819C2×C4×C59—81no—
820C2×C4×C59—81no—
821C2×C4×C59—81no—
822C2×C4×C59C22×D411yescharacteristic
823C2×C4×C59C22×D411yescharacteristic
824C2×C4×C59C22×D411yescharacteristic
825C2×C4×C59C22×D411yescharacteristic
826C2×C4×C59C22×D411yescharacteristic
827C2×C4×C59C22×D411yescharacteristic
828C2×C4×C59C22×D411yescharacteristic
829C2×C4×C59C22×D411yescharacteristic
830C2×C4×C59C22×D411yescharacteristic
831C2×C4×C59C2511yescharacteristic
832C22⋊D59—42no—
833C22⋊D59—42no—
834C22⋊D59—42no—
835C22⋊D59—42no—
836C22⋊D59—42no—
837C22⋊D59—42no—
838C22⋊D59—81no—
839C22⋊D59—81no—
840C22⋊D59—81no—
841C22⋊D59—81no—
842C2×Dic59—21no—
843C2×Dic59—21no—
844C2×Dic59—21no—
845C2×Dic59—21no—
846C2×Dic59—81no—
847D236—24no—
848D236—21no—
849D236—21no—
850D236—21no—
851D236—21no—
852D236—21no—
853D236—21no—
854D236—42no—
855D236—42no—
856D236—42no—
857D236—42no—
858D236—42no—
859D236—81no—
860D236H(5,𝔽2)12yes—
861D236H(5,𝔽2)12yes—
862C4×D59—42no—
863C4×D59—42no—
864C4×D59—42no—
865C4×D59—42no—
866C4×D59—42no—
867C4×D59—42no—
868C4×D59—42no—
869C4×D59—42no—
870C4×D59—81no—
871C4×D59—81no—
872Dic118—21no—
873Dic118—21no—
874Dic118—21no—
875Dic118—21no—
876C59⋊C8—21no—
877C59⋊C8—21no—
878C59⋊C8—21no—
879C59⋊C8—21no—
880C59⋊C8—21no—
881C59⋊C8—21no—
882C59⋊C8—21no—
883C59⋊C8—21no—
884#61678—591nomaximal, Sylow
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—21no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—21no—
895C22×C59—21no—
896C22×C59—21no—
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—41no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—162no—
907C22×C59C23×D411yescharacteristic
908C2×D59—22no—
909C2×D59—22no—
910C2×D59—41no—
911C2×D59—41no—
912C2×D59—41no—
913C2×D59—41no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—84no—
921C2×D59—162no—
922C2×D59—162no—
923C2×D59—162no—
924C2×D59—162no—
925C4×C59—21no—
926C4×C59—21no—
927C4×C59—21no—
928C4×C59—21no—
929C4×C59—21no—
930C4×C59—21no—
931C4×C59—21no—
932C4×C59—21no—
933C4×C59—21no—
934C4×C59—41no—
935C4×C59—41no—
936C4×C59—41no—
937C4×C59—41no—
938C4×C59—41no—
939C4×C59—41no—
940C4×C59C2×H(5,𝔽2)11yescharacteristic
941C4×C59C2×H(5,𝔽2)11yescharacteristic
942Dic59—41no—
943Dic59—41no—
944Dic59—41no—
945Dic59—41no—
946#3551D5911yescharacteristic, complemented
947#3496—591no—
948#3323—591no—
949#3322—591no—
950#3318—591no—
951#3315—591no—
952#3310—591no—
953#3307—591no—
954#3297—591no—
955#3296—591no—
956#3282—591no—
957#3280—591no—
958#3275—591no—
959#3273—591no—
960#3269—591no—
961#3267—591no—
962#3265—591no—
963#3264—591no—
964#3219—591no—
965#3212—591no—
966#3204—591no—
967#3203—591no—
968#3201—591no—
969#3198—591no—
970#3114—591no—
971#3105—591no—
972#3012—591no—
973#3012—591no—
974#3009—591no—
975#3008—591no—
976#2981—591no—
977C2×C59—41no—
978C2×C59—41no—
979C2×C59—41no—
980C2×C59—41no—
981C2×C59—41no—
982C2×C59—81no—
983C2×C59—81no—
984C2×C59#348411yescharacteristic
985C2×C59#358411yescharacteristic
986C2×C59#358511yescharacteristic
987D59—42no—
988D59—42no—
989D59—81no—
990D59—81no—
991C2×H(5,𝔽2)—591no—
992C2×H(5,𝔽2)—591no—
993C2×#137—591no—
994C2×AGL(1,ℤ/8)—591no—
995C2×AGL(1,ℤ/8)—591no—
996C2×AGL(1,ℤ/8)—591no—
997C2×#135—591no—
998C2×#135—591no—
999C22×SD16—591no—
1000C22×D8—591no—
1001#563—21no—
1002#560—21no—
1003#555—21no—
1004#553C2×D5911yescharacteristic, complemented
1005#553C2×D5911yescharacteristic, complemented
1006#552C2×D5911yescharacteristic, complemented
1007#552C2×D5911yescharacteristic, complemented
1008#551—21no—
1009#548C2×D5911yescharacteristic, complemented
1010#548C2×D5911yescharacteristic, complemented
1011#547—591no—
1012#547—591no—
1013#547—1181no—
1014#546—591no—
1015#546—591no—
1016#546—591no—
1017#546—591no—
1018#546—1181no—
1019#546—1181no—
1020#546C2×D5911yescharacteristic, complemented
1021#546C2×D5911yescharacteristic, complemented
1022D42—591no—
1023D42—591no—
1024D42—1181no—
1025#540—21no—
1026#540—21no—
1027#538—21no—
1028#538—21no—
1029#537—591no—
1030#537—591no—
1031#537C2×D5911yescharacteristic, complemented
1032#537C2×D5911yescharacteristic, complemented
1033#536C2×D5911yescharacteristic, complemented
1034#535C2×D5911yescharacteristic, complemented
1035#534—1181no—
1036#534—1181no—
1037#532—591no—
1038#532C2×D5911yescharacteristic
1039#529C2×D5911yescharacteristic, complemented
1040#529C2×D5911yescharacteristic, complemented
1041C2×#121—1181no—
1042C2×#121—1181no—
1043C2×C4×D4—591no—
1044#497—591no—
1045#496—591no—
1046#495—591no—
1047#495—591no—
1048#491—591no—
1049#490—591no—
1050#488—591no—
1051#488—591no—
1052#485—591no—
1053#485—591no—
1054#484—591no—
1055#484—591no—
1056#483—591no—
1057#483—591no—
1058#482—591no—
1059#482—591no—
1060#481—591no—
1061#481—591no—
1062#480—591no—
1063#480—591no—
1064#478—591no—
1065#478—591no—
1066#478—591no—
1067#478—591no—
1068#470—591no—
1069#470—591no—
1070#469—591no—
1071#469—591no—
1072#468—591no—
1073#468—591no—
1074#468—591no—
1075#468—591no—
1076#467—591no—
1077#467—591no—
1078#466—591no—
1079#466—591no—
1080#465—591no—
1081#465—591no—
1082#465—591no—
1083#465—591no—
1084#464—591no—
1085#464—591no—
1086#463—591no—
1087#463—591no—
1088#463—591no—
1089#463—591no—
1090#463—591no—
1091#463—591no—
1092#462—591no—
1093#461—591no—
1094#460—591no—
1095#459—591no—
1096#452—591no—
1097#452—591no—
1098#452—591no—
1099#452—591no—
1100#452—591no—
1101#452—591no—
1102#452—591no—
1103#452—591no—
1104#452—591no—
1105#452—591no—
1106#451—591no—
1107#450—591no—
1108#450—591no—
1109#450—591no—
1110#450—591no—
1111#450—591no—
1112#450—591no—
1113#450—591no—
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#449—591no—
1118#449—591no—
1119#449—591no—
1120#449—591no—
1121#449—591no—
1122#449—591no—
1123#449—591no—
1124#448—591no—
1125#447—591no—
1126#447—591no—
1127#447—591no—
1128#447—591no—
1129#447—591no—
1130#447—591no—
1131#447—591no—
1132#442—591no—
1133#442—591no—
1134#440—591no—
1135#440—591no—
1136C4×SD16—591no—
1137C4×SD16—591no—
1138C4×D8—591no—
1139C4×D8—591no—
1140#436—591no—
1141#436—591no—
1142#435—591no—
1143#435—591no—
1144#435—591no—
1145#435—591no—
1146C8×D4—591no—
1147C8×D4—591no—
1148#432—591no—
1149#431—591no—
1150#418—591no—
1151#418—591no—
1152#417—591no—
1153#417—591no—
1154#416—591no—
1155#416—591no—
1156C2×#102—591no—
1157C2×#102—591no—
1158#408—591no—
1159#408—591no—
1160#408—591no—
1161#408—591no—
1162C59#6167811yescharacteristic, complemented, Sylow
1163H(5,𝔽2)—2362no—
1164H(5,𝔽2)—2362no—
1165H(5,𝔽2)—2362no—
1166H(5,𝔽2)—2362no—
1167C2×#41—591no—
1168C2×#41—591no—
1169C2×#41—591no—
1170C2×#41—591no—
1171C2×#41—591no—
1172C2×#41—591no—
1173C2×#41—1181no—
1174C2×#41—1181no—
1175C2×#41C22×D5911yescharacteristic
1176C2×#41C22×D5911yescharacteristic
1177C2×#41C22×D5911yescharacteristic
1178C2×#41C22×D5911yescharacteristic
1179C22×Q8C22×D5911yescharacteristic
1180C22×D4—591no—
1181C22×D4—591no—
1182C22×D4—591no—
1183C22×D4—591no—
1184C22×D4—591no—
1185C22×D4—1181no—
1186C22×D4—1181no—
1187C22×D4—1181no—
1188C22×D4—1181no—
1189C22×D4—1181no—
1190C22×D4—1181no—
1191C22×D4—1181no—
1192C22×D4—1181no—
1193C22×D4C22×D5911yescharacteristic
1194C23×C4—1181no—
1195#137—2362no—
1196AGL(1,ℤ/8)—2362no—
1197AGL(1,ℤ/8)—2362no—
1198AGL(1,ℤ/8)—2362no—
1199#135—2362no—
1200#135—2362no—
1201C2×Q16—591no—
1202C2×Q16—591no—
1203C2×Q16—591no—
1204C2×Q16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—591no—
1212C2×SD16—591no—
1213C2×SD16—591no—
1214C2×SD16—591no—
1215C2×SD16—591no—
1216C2×SD16—591no—
1217C2×SD16—2362no—
1218C2×D8—591no—
1219C2×D8—591no—
1220C2×D8—591no—
1221C2×D8—591no—
1222C2×D8—591no—
1223C2×D8—591no—
1224C2×D8—591no—
1225C2×D8—591no—
1226C2×D8—2362no—
1227C2×M16—591no—
1228C2×M16—591no—
1229C2×M16—591no—
1230C2×M16—591no—
1231C22×C8—591no—
1232C22×C8—591no—
1233C22×C8—591no—
1234C22×C8—591no—
1235C4⋊Q8—21no—
1236C4⋊Q8—591no—
1237C4⋊Q8C22⋊D5911yescharacteristic
1238#127—21no—
1239#127—591no—
1240#127C22⋊D5911yescharacteristic
1241#126—21no—
1242#126—21no—
1243#126—21no—
1244#126—21no—
1245#126—21no—
1246#126—21no—
1247#125—21no—
1248#125—21no—
1249#125C22×D5911yescharacteristic
1250#125C22×D5911yescharacteristic
1251#124—21no—
1252#124—21no—
1253#124—21no—
1254#124—21no—
1255#124—591no—
1256#124—591no—
1257#124C22⋊D5911yescharacteristic
1258#124C22⋊D5911yescharacteristic
1259#124C22×D5911yescharacteristic
1260#124C22×D5911yescharacteristic
1261#123—21no—
1262#123—21no—
1263#123—21no—
1264#123—21no—
1265#123—21no—
1266#123—21no—
1267#123—21no—
1268#123—21no—
1269#123—21no—
1270#123—21no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277#123—1181no—
1278#123—1181no—
1279C22⋊Q8—21no—
1280C22⋊Q8—21no—
1281C22⋊Q8—21no—
1282C22⋊Q8—21no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8C22×D5911yescharacteristic
1290C22⋊Q8C22×D5911yescharacteristic
1291C22⋊Q8C22×D5911yescharacteristic
1292C22⋊Q8C22×D5911yescharacteristic
1293C22⋊Q8C22×D5911yescharacteristic
1294C22⋊Q8C22×D5911yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121C22⋊D5911yescharacteristic
1328#121C22⋊D5911yescharacteristic
1329#121C22⋊D5911yescharacteristic
1330#121C22⋊D5911yescharacteristic
1331#121C22×D5911yescharacteristic
1332#121C22×D5911yescharacteristic
1333#121C22×D5911yescharacteristic
1334#121C22×D5911yescharacteristic
1335#121C22×D5911yescharacteristic
1336#121C22×D5911yescharacteristic
1337#120—21no—
1338#120—21no—
1339#120—21no—
1340#120—21no—
1341#120—1181no—
1342#120—1181no—
1343#120—1181no—
1344#120—1181no—
1345#120—1181no—
1346#120—1181no—
1347#120—1181no—
1348#120—1181no—
1349C4×Q8C22×D5911yescharacteristic
1350C4×Q8C22×D5911yescharacteristic
1351C4×D4—21no—
1352C4×D4—21no—
1353C4×D4—21no—
1354C4×D4—21no—
1355C4×D4—21no—
1356C4×D4—21no—
1357C4×D4—591no—
1358C4×D4—591no—
1359C4×D4—591no—
1360C4×D4—591no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4—1181no—
1365C4×D4C22×D5911yescharacteristic
1366C4×D4C22×D5911yescharacteristic
1367C4×D4C22×D5911yescharacteristic
1368C4×D4C22×D5911yescharacteristic
1369C4×D4C22×D5911yescharacteristic
1370C4×D4C22×D5911yescharacteristic
1371#117—21no—
1372#117—21no—
1373#117—21no—
1374#117—21no—
1375#117C22×D5911yescharacteristic
1376#117C22×D5911yescharacteristic
1377C2×C4⋊C4—591no—
1378C2×C4⋊C4—1181no—
1379C2×C4⋊C4—1181no—
1380C2×C4⋊C4C22×D5911yescharacteristic
1381C2×C4⋊C4C22×D5911yescharacteristic
1382C2×C22⋊C4—21no—
1383C2×C22⋊C4—21no—
1384C2×C22⋊C4—1181no—
1385C2×C22⋊C4—1181no—
1386C2×C22⋊C4—1181no—
1387C2×C22⋊C4—1181no—
1388C2×C22⋊C4—1181no—
1389C2×C42C22×D5911yescharacteristic
1390#107—591no—
1391#107—591no—
1392#107—591no—
1393#107—591no—
1394#106—591no—
1395#106—591no—
1396#106—591no—
1397#106—591no—
1398C4⋊C8—591no—
1399C4⋊C8—591no—
1400C4⋊C8—591no—
1401C4⋊C8—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103—591no—
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103—591no—
1414#102—591no—
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434C22⋊C8—591no—
1435C22⋊C8—591no—
1436C22⋊C8—591no—
1437C22⋊C8—591no—
1438C22⋊C8—591no—
1439C22⋊C8—591no—
1440C22⋊C8—591no—
1441C22⋊C8—591no—
1442C22⋊C8—591no—
1443C22⋊C8—591no—
1444C22⋊C8—591no—
1445C22⋊C8—591no—
1446#97—591no—
1447#97—591no—
1448C4×C8—591no—
1449C4×C8—591no—
1450C24—21no—
1451C24—1181no—
1452C24—1181no—
1453C24—1181no—
1454C24—1181no—
1455C24—1181no—
1456#41—41no—
1457#41—41no—
1458#41—41no—
1459#41—41no—
1460#41—41no—
1461#41—41no—
1462#41—41no—
1463#41—41no—
1464#41—1182no—
1465#41—1182no—
1466#41—1182no—
1467#41—1182no—
1468#41—2361no—
1469#41—2361no—
1470#41—2361no—
1471#41—2361no—
1472#41—2361no—
1473#41—2361no—
1474#41—2361no—
1475#41—2361no—
1476#41—2364no—
1477#41—2364no—
1478C2×Q8—21no—
1479C2×Q8—41no—
1480C2×Q8—41no—
1481C2×Q8—591no—
1482C2×Q8—591no—
1483C2×Q8C2×C22⋊D5911yescharacteristic
1484C2×Q8C2×C22⋊D5911yescharacteristic
1485C2×Q8C23×D5911yescharacteristic
1486C2×Q8C23×D5911yescharacteristic
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—41no—
1497C2×D4—41no—
1498C2×D4—591no—
1499C2×D4—591no—
1500C2×D4—591no—
1501C2×D4—591no—
1502C2×D4—1182no—
1503C2×D4—1182no—
1504C2×D4—1182no—
1505C2×D4—1182no—
1506C2×D4—1182no—
1507C2×D4—1182no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—4722no—
1526C2×D4—4722no—
1527C2×D4—2361no—
1528C2×D4—2361no—
1529C2×D4—2361no—
1530C2×D4—2361no—
1531C2×D4—2364no—
1532C2×D4—2364no—
1533C2×D4—2364no—
1534C2×D4—2364no—
1535C2×D4—2364no—
1536C2×D4—2364no—
1537C2×D4C2×C22⋊D5911yescharacteristic
1538C2×D4C2×C22⋊D5911yescharacteristic
1539C2×D4C2×C22⋊D5911yescharacteristic
1540C2×D4C2×C22⋊D5911yescharacteristic
1541C2×D4C2×C22⋊D5911yescharacteristic
1542C2×D4C2×C22⋊D5911yescharacteristic
1543C2×D4C2×C22⋊D5911yescharacteristic
1544C2×D4C2×C22⋊D5911yescharacteristic
1545C2×D4C2×C22⋊D5911yescharacteristic
1546C2×D4C2×C22⋊D5911yescharacteristic
1547C2×D4C23×D5911yescharacteristic
1548C2×D4C23×D5911yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—1181no—
1557C22×C4—1181no—
1558C22×C4—1181no—
1559C22×C4—1181no—
1560C22×C4—1181no—
1561C22×C4—1181no—
1562C22×C4—1181no—
1563C22×C4—1181no—
1564C22×C4—1181no—
1565C22×C4—1181no—
1566C22×C4—1181no—
1567C22×C4—4722no—
1568C22×C4C2×C22⋊D5911yescharacteristic
1569C22×C4C2×C22⋊D5911yescharacteristic
1570C22×C4C23×D5911yescharacteristic
1571C22×C4C23×D5911yescharacteristic
1572C22×C4C23×D5911yescharacteristic
1573C22×C4C23×D5911yescharacteristic
1574C22×C4C23×D5911yescharacteristic
1575Q16—2361no—
1576Q16—2361no—
1577Q16—2361no—
1578Q16—2361no—
1579SD16—1182no—
1580SD16—1182no—
1581SD16—1182no—
1582SD16—1182no—
1583SD16—2361no—
1584SD16—2361no—
1585SD16—2361no—
1586SD16—2361no—
1587SD16—2361no—
1588SD16—2361no—
1589SD16—2361no—
1590SD16—2361no—
1591D8—1182no—
1592D8—1182no—
1593D8—1182no—
1594D8—1182no—
1595D8—2361no—
1596D8—2361no—
1597D8—2361no—
1598D8—2361no—
1599M16—2361no—
1600M16—2361no—
1601M16—2361no—
1602M16—2361no—
1603C2×C8—591no—
1604C2×C8—591no—
1605C2×C8—591no—
1606C2×C8—591no—
1607C2×C8—591no—
1608C2×C8—591no—
1609C2×C8—591no—
1610C2×C8—591no—
1611C2×C8—2361no—
1612C2×C8—2361no—
1613C2×C8—2361no—
1614C2×C8—2361no—
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—21no—
1623C4⋊C4—21no—
1624C4⋊C4—21no—
1625C4⋊C4—21no—
1626C4⋊C4—21no—
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—591no—
1630C4⋊C4—591no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4—1181no—
1635C4⋊C4—1181no—
1636C4⋊C4—1181no—
1637C4⋊C4—1181no—
1638C4⋊C4C2×C22⋊D5911yescharacteristic
1639C4⋊C4C2×C22⋊D5911yescharacteristic
1640C4⋊C4C2×C22⋊D5911yescharacteristic
1641C4⋊C4C2×C22⋊D5911yescharacteristic
1642C4⋊C4C23×D5911yescharacteristic
1643C4⋊C4C23×D5911yescharacteristic
1644C4⋊C4C23×D5911yescharacteristic
1645C4⋊C4C23×D5911yescharacteristic
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4C2×C22⋊D5911yescharacteristic
1683C22⋊C4C2×C22⋊D5911yescharacteristic
1684C22⋊C4C2×C22⋊D5911yescharacteristic
1685C22⋊C4C2×C22⋊D5911yescharacteristic
1686C22⋊C4C2×C22⋊D5911yescharacteristic
1687C22⋊C4C2×C22⋊D5911yescharacteristic
1688C22⋊C4C2×C22⋊D5911yescharacteristic
1689C22⋊C4C2×C22⋊D5911yescharacteristic
1690C42—21no—
1691C42—21no—
1692C42—21no—
1693C42—21no—
1694C42C2×C22⋊D5911yescharacteristic
1695C42C2×C22⋊D5911yescharacteristic
1696C42C23×D5911yescharacteristic
1697C42C23×D5911yescharacteristic
1698C23—21no—
1699C23—21no—
1700C23—81no—
1701C23—81no—
1702C23—81no—
1703C23—1184no—
1704C23—1181no—
1705C23—1181no—
1706C23—1181no—
1707C23—1181no—
1708C23—4721no—
1709C23—4721no—
1710C23—4721no—
1711C23—4721no—
1712C23—4721no—
1713C23—4721no—
1714C23—4721no—
1715C23—4721no—
1716C23—4721no—
1717C23—4721no—
1718C23—2362no—
1719C23—2362no—
1720C23—2362no—
1721C23—2362no—
1722C23C22×C22⋊D5911yescharacteristic
1723C23C22×C22⋊D5911yescharacteristic
1724C23C22×C22⋊D5911yescharacteristic
1725C23C22×C22⋊D5911yescharacteristic
1726C23C22×C22⋊D5911yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—21no—
1730Q8—21no—
1731Q8—41no—
1732Q8—41no—
1733Q8—81no—
1734Q8—1181no—
1735Q8—1181no—
1736Q8—1181no—
1737Q8—1181no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—41no—
1743D4—41no—
1744D4—41no—
1745D4—41no—
1746D4—41no—
1747D4—41no—
1748D4—41no—
1749D4—41no—
1750D4—41no—
1751D4—41no—
1752D4—81no—
1753D4—81no—
1754D4—81no—
1755D4—81no—
1756D4—81no—
1757D4—81no—
1758D4—81no—
1759D4—81no—
1760D4—81no—
1761D4—592no—
1762D4—592no—
1763D4—1184no—
1764D4—1181no—
1765D4—1181no—
1766D4—1181no—
1767D4—1181no—
1768D4—1181no—
1769D4—1181no—
1770D4—4721no—
1771D4—4721no—
1772D4—4721no—
1773D4—4721no—
1774D4—4721no—
1775D4—2362no—
1776D4—2362no—
1777D4—2362no—
1778D4—2362no—
1779D4—2362no—
1780D4—2362no—
1781D4—2362no—
1782D4—2362no—
1783D4—2362no—
1784D4—2362no—
1785D4—2362no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—41no—
1803C2×C4—41no—
1804C2×C4—81no—
1805C2×C4—81no—
1806C2×C4—81no—
1807C2×C4—81no—
1808C2×C4—81no—
1809C2×C4—81no—
1810C2×C4—81no—
1811C2×C4—1181no—
1812C2×C4—1181no—
1813C2×C4—1181no—
1814C2×C4—1181no—
1815C2×C4—4721no—
1816C2×C4—4721no—
1817C2×C4—4721no—
1818C2×C4—2362no—
1819C2×C4—2362no—
1820C2×C4—2362no—
1821C2×C4—2362no—
1822C2×C4—2362no—
1823C2×C4—2362no—
1824C2×C4—2362no—
1825C2×C4—2362no—
1826C2×C4C22×C22⋊D5911yescharacteristic
1827C2×C4C22×C22⋊D5911yescharacteristic
1828C2×C4C22×C22⋊D5911yescharacteristic
1829C2×C4C22×C22⋊D5911yescharacteristic
1830C2×C4C22×C22⋊D5911yescharacteristic
1831C2×C4C22×C22⋊D5911yescharacteristic
1832C2×C4C22×C22⋊D5911yescharacteristic
1833C2×C4C22×C22⋊D5911yescharacteristic
1834C2×C4C22×C22⋊D5911yescharacteristic
1835C2×C4C24×D5911yescharacteristic
1836C8—1181no—
1837C8—1181no—
1838C8—1181no—
1839C8—1181no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C8—1181no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—21no—
1856C22—21no—
1857C22—21no—
1858C22—21no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—162no—
1866C22—1182no—
1867C22—1182no—
1868C22—9442no—
1869C22—9442no—
1870C22—9442no—
1871C22—9442no—
1872C22—4724no—
1873C22—2361no—
1874C22—2361no—
1875C22—2361no—
1876C22—2361no—
1877C22—2361no—
1878C22—2361no—
1879C22—2361no—
1880C22—2361no—
1881C22—2361no—
1882C22—2361no—
1883C22C23×C22⋊D5911yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—21no—
1889C4—21no—
1890C4—21no—
1891C4—21no—
1892C4—21no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—41no—
1898C4—41no—
1899C4—2361no—
1900C4—2361no—
1901C4—2361no—
1902C4—2361no—
1903C4H(5,𝔽2)×D5911yescharacteristic
1904C4H(5,𝔽2)×D5911yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—41no—
1909C2—41no—
1910C2—81no—
1911C2—81no—
1912C2—4721no—
1913C2—4721no—
1914C2—2362no—
1915C2—2362no—
1916C2#2143772711yescharacteristic
1917C2#2143886711yescharacteristic
1918C2#2143887511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3551C2
socleC22×C59C23×D4
hypercenter#3551D59
hypocenterC59#61678
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. #21437858C2semidirect
2. #21436306C2semidirect
3. #21436291C2semidirect
4. #21436231C2semidirect
5. #21436186C2semidirect
6. #21436111C2semidirect
7. #21436066C2semidirect
8. #21435940C2semidirect
9. #21435925C2semidirect
10. #21435804C2semidirect
11. #21435777C2semidirect
12. #21435728C2semidirect
13. #21435703C2semidirect
14. #21435652C2semidirect
15. #21435617C2semidirect
16. #21435592C2semidirect
17. #21435577C2semidirect
18. #21435129C2semidirect
19. #21435068C2semidirect
20. #21435002C2semidirect
21. #21434993C2semidirect
22. #21434978C2semidirect
23. #21434948C2semidirect
24. #21434230C2semidirect
25. #21434139C2semidirect
26. #21433397C2semidirect
27. #21433397C2semidirect
28. #21433371C2semidirect
29. #21433362C2semidirect
30. #21433172C2semidirect
31. C59×#3551C2semidirect
33. C2×#14273773C22semidirect
34. C2×#14273758C22semidirect
35. C2×#14273753C22semidirect
36. C2×#14273752C22semidirect
37. C2×#14273752C22semidirect
38. C2×#14273747C22semidirect
39. C2×#14273747C22semidirect
40. C22×#11745671C22semidirect
41. C22×#11745669C22semidirect
43. #16838057C22semidirect
47. #16838048C22semidirect
48. #16838048C22semidirect
52. D4×D236C22semidirect
55. #16837980C22semidirect
58. #16837952C22semidirect
61. C2×C4×D236C22semidirect
62. #16837797C22semidirect
63. #16837792C22semidirect
64. #16837784C22semidirect
65. #16837784C22semidirect
66. #16837772C22semidirect
67. #16837768C22semidirect
68. #16837759C22semidirect
69. #16837759C22semidirect
70. #16837743C22semidirect
71. #16837743C22semidirect
72. #16837737C22semidirect
73. #16837735C22semidirect
74. #16837732C22semidirect
75. #16837730C22semidirect
76. #16837726C22semidirect
77. #16837726C22semidirect
78. #16837720C22semidirect
79. #16837718C22semidirect
80. #16837715C22semidirect
81. #16837713C22semidirect
82. #16837699C22semidirect
83. #16837699C22semidirect
84. #16837699C22semidirect
85. #16837699C22semidirect
86. #16837658C22semidirect
87. #16837658C22semidirect
88. #16837653C22semidirect
89. #16837653C22semidirect
90. #16837650C22semidirect
91. #16837650C22semidirect
92. #16837646C22semidirect
93. #16837646C22semidirect
94. #16837641C22semidirect
95. #16837641C22semidirect
96. #16837636C22semidirect
97. #16837636C22semidirect
98. #16837633C22semidirect
99. #16837633C22semidirect
100. #16837629C22semidirect
101. #16837629C22semidirect
102. #16837624C22semidirect
103. #16837624C22semidirect
104. #16837617C22semidirect
105. #16837617C22semidirect
106. #16837614C22semidirect
107. #16837614C22semidirect
108. #16837614C22semidirect
109. #16837614C22semidirect
110. #16837612C22semidirect
111. #16837607C22semidirect
112. #16837602C22semidirect
113. #16837597C22semidirect
114. #16837564C22semidirect
115. #16837564C22semidirect
116. #16837562C22semidirect
117. #16837562C22semidirect
118. #16837562C22semidirect
119. #16837562C22semidirect
120. #16837562C22semidirect
121. #16837562C22semidirect
122. #16837562C22semidirect
123. #16837562C22semidirect
124. #16837558C22semidirect
125. #16837553C22semidirect
126. #16837552C22semidirect
127. #16837552C22semidirect
128. #16837552C22semidirect
129. #16837552C22semidirect
130. #16837552C22semidirect
131. #16837552C22semidirect
132. #16837547C22semidirect
133. #16837547C22semidirect
134. #16837545C22semidirect
135. #16837545C22semidirect
136. #16837545C22semidirect
137. #16837545C22semidirect
138. #16837545C22semidirect
139. #16837545C22semidirect
140. #16837545C22semidirect
141. #16837545C22semidirect
142. #16837541C22semidirect
143. #16837536C22semidirect
146. #16837535C22semidirect
147. #16837535C22semidirect
148. #16837535C22semidirect
149. #16837535C22semidirect
150. #16837512C22semidirect
151. #16837512C22semidirect
152. #16837500C22semidirect
153. #16837500C22semidirect
154. C4×#11745671C22semidirect
155. C4×#11745671C22semidirect
156. C4×#11745669C22semidirect
157. C4×#11745669C22semidirect
158. #16837480C22semidirect
159. #16837480C22semidirect
160. #16837474C22semidirect
161. #16837474C22semidirect
162. #16837474C22semidirect
163. #16837474C22semidirect
164. D4×C59⋊C8C22semidirect
165. D4×C59⋊C8C22semidirect
166. #16837459C22semidirect
167. #16837455C22semidirect
168. #16837406C22semidirect
169. #16837406C22semidirect
170. #16837401C22semidirect
171. #16837401C22semidirect
172. #16837396C22semidirect
173. #16837396C22semidirect
174. C2×#14273647C22semidirect
175. C2×#14273647C22semidirect
176. #16837369C22semidirect
177. #16837369C22semidirect
178. #16837369C22semidirect
179. #16837369C22semidirect
183. C59×#553C22semidirect
184. C59×#553C22semidirect
185. C59×#552C22semidirect
186. C59×#552C22semidirect
188. C59×#548C22semidirect
189. C59×#548C22semidirect
190. C59×#546C22semidirect
191. C59×#546C22semidirect
196. C59×#537C22semidirect
197. C59×#537C22semidirect
198. C59×#536C22semidirect
199. C59×#535C22semidirect
201. C59×#529C22semidirect
202. C59×#529C22semidirect
946. #3551D59semidirect
1004. #553C2×D59semidirect
1005. #553C2×D59semidirect
1006. #552C2×D59semidirect
1007. #552C2×D59semidirect
1009. #548C2×D59semidirect
1010. #548C2×D59semidirect
1020. #546C2×D59semidirect
1021. #546C2×D59semidirect
1031. #537C2×D59semidirect
1032. #537C2×D59semidirect
1033. #536C2×D59semidirect
1034. #535C2×D59semidirect
1039. #529C2×D59semidirect
1040. #529C2×D59semidirect
1162. C59#61678semidirect

Maximal subgroups

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

subgroupindex
#214378582
#214363062
#214362912
#214362312
#214361862
#214361112
#214360662
#214359402
#214359252
#214358042
#214357772
#214357282
#214357032
#214356522
#214356172
#214355922
#214355772
#214351292
#214350682
#214350022
#214349932
#214349782
#214349482
#214342302
#214341392
#214333972
#214333712
#214333622
#214331722
C59×#35512
#6167859