Finite Group Databasebeta

← #29484026

Subgroups — #29484026

Order 15104.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438470C211yesmaximal, characteristic, complemented
2#21437171C211yesmaximal, characteristic, complemented
3#21437116C211yesmaximal, characteristic, complemented
4#21436938C211yesmaximal, characteristic, complemented
5#21436825C211yesmaximal, characteristic, complemented
6#21436428C211yesmaximal, characteristic, complemented
7#21436291C211yesmaximal, characteristic, complemented
8#21436186C211yesmaximal, characteristic, complemented
9#21436171C211yesmaximal, characteristic, complemented
10#21436111C211yesmaximal, characteristic, complemented
11#21436096C211yesmaximal, characteristic, complemented
12#21435758C211yesmaximal, characteristic, complemented
13#21435728C211yesmaximal, characteristic, complemented
14#21435682C211yesmaximal, characteristic, complemented
15#21435652C211yesmaximal, characteristic, complemented
16#21435607C211yesmaximal, characteristic, complemented
17#21435592C211yesmaximal, characteristic, complemented
18#21435552C211yesmaximal, characteristic, complemented
19#21435516C211yesmaximal, characteristic, complemented
20#21435458C211yesmaximal, characteristic, complemented
21#21435184C211yesmaximal, characteristic, complemented
22#21435162C211yesmaximal, characteristic, complemented
23#21435129C211yesmaximal, characteristic, complemented
24#21434358C211yesmaximal, characteristic, complemented
25#21434325C211yesmaximal, characteristic, complemented
26#21434218C211yesmaximal, characteristic, complemented
27#21433635C211yesmaximal, characteristic, complemented
28#21433617C211yesmaximal, characteristic, complemented
29#21433568C211yesmaximal, characteristic, complemented
30#21433266C211yesmaximal, characteristic, complemented
31C59×#3516C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic, complemented
33C2×#14273758C2211yescharacteristic, complemented
34C2×#14273758C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic
36C2×#14273747C2211yescharacteristic, complemented
37C22×#11745671C2211yescharacteristic
38#16838142—21no—
39#16838142—21no—
40#16838125C2211yescharacteristic
41#16838105—21no—
42#16838074C2211yescharacteristic
43#16838073C2211yescharacteristic
44#16838073C2211yescharacteristic
45#16838057C2211yescharacteristic
46#16838048C2211yescharacteristic
47#16838048C2211yescharacteristic
48#16838045—21no—
49D4×D236C2211yescharacteristic
50#16838023C2211yescharacteristic
51#16838023C2211yescharacteristic
52#16837991—21no—
53#16837991—21no—
54#16837982—21no—
55#16837971C2211yescharacteristic
56#16837971C2211yescharacteristic
57#16837968—21no—
58#16837952C2211yescharacteristic
59#16837952C2211yescharacteristic
60#16837797C2211yescharacteristic, complemented
61#16837794C2211yescharacteristic
62#16837792C2211yescharacteristic
63#16837792C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic
65#16837776C2211yescharacteristic, complemented
66#16837772C2211yescharacteristic, complemented
67#16837768C2211yescharacteristic
68#16837768C2211yescharacteristic, complemented
69#16837764C2211yescharacteristic
70#16837759C2211yescharacteristic
71#16837750C2211yescharacteristic, complemented
72#16837743C2211yescharacteristic, complemented
73#16837737C2211yescharacteristic, complemented
74#16837726C2211yescharacteristic
75#16837715C2211yescharacteristic
76#16837715C2211yescharacteristic
77#16837715C2211yescharacteristic, complemented
78#16837706C2211yescharacteristic, complemented
79#16837699C2211yescharacteristic
80#16837699C2211yescharacteristic, complemented
81#16837699C2211yescharacteristic, complemented
82#16837697C2211yescharacteristic, complemented
83#16837697C2211yescharacteristic, complemented
84#16837694C2211yescharacteristic, complemented
85#16837687C2211yescharacteristic, complemented
86#16837682C2211yescharacteristic, complemented
87#16837679C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic, complemented
89#16837653C2211yescharacteristic
90#16837653C2211yescharacteristic, complemented
91#16837650C2211yescharacteristic
92#16837650C2211yescharacteristic
93#16837650C2211yescharacteristic
94#16837650C2211yescharacteristic, complemented
95#16837646C2211yescharacteristic, complemented
96#16837641C2211yescharacteristic, complemented
97#16837641C2211yescharacteristic, complemented
98#16837636C2211yescharacteristic
99#16837633C2211yescharacteristic
100#16837624C2211yescharacteristic
101#16837624C2211yescharacteristic
102#16837624C2211yescharacteristic
103#16837624C2211yescharacteristic, complemented
104#16837624C2211yescharacteristic, complemented
105#16837624C2211yescharacteristic, complemented
106#16837624C2211yescharacteristic, complemented
107#16837624C2211yescharacteristic, complemented
108#16837624C2211yescharacteristic, complemented
109#16837621C2211yescharacteristic, complemented
110#16837617C2211yescharacteristic
111#16837617C2211yescharacteristic, complemented
112#16837617C2211yescharacteristic, complemented
113#16837614C2211yescharacteristic
114#16837614C2211yescharacteristic, complemented
115#16837614C2211yescharacteristic, complemented
116#16837612C2211yescharacteristic, complemented
117#16837612C2211yescharacteristic, complemented
118#16837609C2211yescharacteristic, complemented
119#16837604C2211yescharacteristic, complemented
120#16837602C2211yescharacteristic
121#16837602C2211yescharacteristic
122#16837602C2211yescharacteristic
123#16837602C2211yescharacteristic
124#16837602C2211yescharacteristic
125#16837602C2211yescharacteristic, complemented
126#16837602C2211yescharacteristic, complemented
127#16837602C2211yescharacteristic, complemented
128#16837597C2211yescharacteristic
129#16837597C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic, complemented
131#16837562C2211yescharacteristic, complemented
132#16837562C2211yescharacteristic, complemented
133#16837562C2211yescharacteristic, complemented
134#16837562C2211yescharacteristic, complemented
135#16837562C2211yescharacteristic, complemented
136#16837558C2211yescharacteristic, complemented
137#16837552C2211yescharacteristic
138#16837552C2211yescharacteristic
139#16837552C2211yescharacteristic
140#16837547C2211yescharacteristic
141#16837545C2211yescharacteristic, complemented
142#16837545C2211yescharacteristic, complemented
143#16837545C2211yescharacteristic, complemented
144#16837541C2211yescharacteristic
145#16837541C2211yescharacteristic
146#16837541C2211yescharacteristic, complemented
147#16837535C2211yescharacteristic
148#16837533C2211yescharacteristic, complemented
149#16837533C2211yescharacteristic, complemented
150#16837507C2211yescharacteristic, complemented
151#16837502C2211yescharacteristic, complemented
152#16837500C2211yescharacteristic
153#16837500C2211yescharacteristic
154#16837500C2211yescharacteristic, complemented
155#16837500C2211yescharacteristic, complemented
156#16837500C2211yescharacteristic, complemented
157#16837500C2211yescharacteristic, complemented
158C4×#11745672C2211yescharacteristic, complemented
159C4×#11745672C2211yescharacteristic, complemented
160C4×#11745671C2211yescharacteristic, complemented
161C4×#11745669C2211yescharacteristic, complemented
162#16837480C2211yescharacteristic, complemented
163#16837480C2211yescharacteristic, complemented
164#16837474C2211yescharacteristic
165#16837474C2211yescharacteristic
166#16837474C2211yescharacteristic, complemented
167#16837474C2211yescharacteristic, complemented
168#16837463C2211yescharacteristic, complemented
169#16837463C2211yescharacteristic, complemented
170#16837459C2211yescharacteristic, complemented
171#16837429C2211yescharacteristic, complemented
172#16837429C2211yescharacteristic, complemented
173#16837426C2211yescharacteristic, complemented
174#16837406C2211yescharacteristic
175#16837401C2211yescharacteristic, complemented
176#16837401C2211yescharacteristic, complemented
177#16837401C2211yescharacteristic, complemented
178#16837396C2211yescharacteristic, complemented
179C2×#14273647C2211yescharacteristic
180C59×#557C2211yescharacteristic, complemented
181C59×#556—21no—
182C59×#556C2211yescharacteristic, complemented
183C59×#554—21no—
184C59×#554C2211yescharacteristic, complemented
185C59×#553—21no—
186C59×#553C2211yescharacteristic, complemented
187C59×#552—21no—
188C59×#552C2211yescharacteristic
189D4×Q8×C59C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic
191C59×#548C2211yescharacteristic, complemented
192C59×#542—21no—
193C59×#542C2211yescharacteristic, complemented
194C59×#541—21no—
195C59×#541C2211yescharacteristic, complemented
196C59×#529—21no—
197C59×#529—21no—
198C59×#529C2211yescharacteristic
199C59×#529C2211yescharacteristic, complemented
200C59×#520C2211yescharacteristic, complemented
201C59×#519C2211yescharacteristic, complemented
202C2×C4×Q8×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C2×D4×D59—21no—
212#14273758—42no—
213#14273758—42no—
214#14273758—42no—
215#14273752—42no—
216#14273747—42no—
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745672C2311yescharacteristic
222C2×#11745672C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745671—42no—
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237C2×#11745671C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745664C2311yescharacteristic
243C2×#11745664C2311yescharacteristic
244C2×#11745664C2311yescharacteristic
245C2×#11745664C2311yescharacteristic
246C22×C59⋊C8C2311yescharacteristic
247C22×C59⋊C8C2311yescharacteristic
248#14273727C2311yescharacteristic
249#14273727C2311yescharacteristic
250#14273724C2311yescharacteristic
251#14273724C2311yescharacteristic
252#14273724C2311yescharacteristic
253#14273724C2311yescharacteristic
254#14273723—21no—
255#14273723—21no—
256#14273722—21no—
257#14273722—21no—
258#14273722—21no—
259#14273722—21no—
260#14273715—21no—
261#14273715C2311yescharacteristic
262#14273715C2311yescharacteristic
263#14273715C2311yescharacteristic
264#14273715C2311yescharacteristic
265#14273713—21no—
266#14273713—21no—
267#14273712—21no—
268#14273712—21no—
269#14273709—21no—
270#14273709—21no—
271#14273709—21no—
272#14273709—21no—
273#14273706C2311yescharacteristic
274#14273706C2311yescharacteristic
275#14273705—21no—
276#14273705—21no—
277#14273703—21no—
278#14273702—21no—
279#14273702—21no—
280#14273702—21no—
281#14273702—21no—
282#14273702—21no—
283#14273702—21no—
284#14273702—21no—
285#14273702—21no—
286#14273701—21no—
287#14273701—21no—
288#14273701—21no—
289#14273701C2311yescharacteristic
290#14273701C2311yescharacteristic
291#14273701C2311yescharacteristic
292#14273701C2311yescharacteristic
293#14273700—21no—
294#14273700—21no—
295#14273700—21no—
296#14273700—21no—
297#14273700—21no—
298#14273700—21no—
299#14273698—21no—
300#14273697—21no—
301#14273697—21no—
302#14273697—21no—
303#14273697—21no—
304#14273697—21no—
305#14273697—21no—
306#14273695—21no—
307#14273695—21no—
308C4×Dic118C2311yescharacteristic
309C4×Dic118C2311yescharacteristic
310C4×D236—21no—
311C4×D236—21no—
312C4×D236—21no—
313C4×D236C2311yescharacteristic
314C4×D236C2311yescharacteristic
315C4×D236C2311yescharacteristic
316C4×D236C2311yescharacteristic
317#14273689—21no—
318#14273689—21no—
319#14273685—21no—
320C4⋊C4×D59—21no—
321C22⋊C4×D59—21no—
322C22⋊C4×D59—21no—
323#14273660C2311yescharacteristic
324#14273660C2311yescharacteristic
325#14273660C2311yescharacteristic
326#14273660C2311yescharacteristic
327#14273660C2311yescharacteristic
328#14273660C2311yescharacteristic
329#14273658C2311yescharacteristic
330#14273658C2311yescharacteristic
331C4⋊(C59⋊C8)C2311yescharacteristic
332C4⋊(C59⋊C8)C2311yescharacteristic
333C4⋊(C59⋊C8)C2311yescharacteristic
334C4⋊(C59⋊C8)C2311yescharacteristic
335C4⋊(C59⋊C8)C2311yescharacteristic
336C4⋊(C59⋊C8)C2311yescharacteristic
337C4⋊(C59⋊C8)C2311yescharacteristic
338C4⋊(C59⋊C8)C2311yescharacteristic
339C4⋊(C59⋊C8)C2311yescharacteristic
340C4⋊(C59⋊C8)C2311yescharacteristic
341#14273651C2311yescharacteristic
342#14273651C2311yescharacteristic
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#14273647C2311yescharacteristic
358#14273647C2311yescharacteristic
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
373C22⋊(C59⋊C8)C2311yescharacteristic
374C22⋊(C59⋊C8)C2311yescharacteristic
375C22⋊(C59⋊C8)C2311yescharacteristic
376C22⋊(C59⋊C8)C2311yescharacteristic
377C22⋊(C59⋊C8)C2311yescharacteristic
378C22⋊(C59⋊C8)C2311yescharacteristic
379#14273638C2311yescharacteristic
380#14273638C2311yescharacteristic
381#14273638C2311yescharacteristic
382#14273638C2311yescharacteristic
383C4×C59⋊C8C2311yescharacteristic
384C4×C59⋊C8C2311yescharacteristic
385C2×#41×C59C2311yescharacteristic
386C22×Q8×C59C2311yescharacteristic
387C22×Q8×C59C2311yescharacteristic
388C4⋊Q8×C59—21no—
389C4⋊Q8×C59—21no—
390C4⋊Q8×C59C2311yescharacteristic
391C4⋊Q8×C59C2311yescharacteristic
392#126×C59—21no—
393#126×C59—21no—
394#126×C59—21no—
395#126×C59—21no—
396#126×C59—21no—
397#126×C59—21no—
398#126×C59—21no—
399#126×C59—21no—
400#126×C59D411yescharacteristic
401#126×C59D411yescharacteristic
402#125×C59—21no—
403#125×C59—21no—
404#125×C59—21no—
405#125×C59—21no—
406#125×C59—21no—
407#125×C59—21no—
408#125×C59D411yescharacteristic
409#125×C59C2311yescharacteristic
410#125×C59C2311yescharacteristic
411#124×C59—21no—
412#124×C59—21no—
413#124×C59—21no—
414#124×C59D411yescharacteristic
415#124×C59C2311yescharacteristic
416#124×C59C2311yescharacteristic
417#123×C59—21no—
418#123×C59—21no—
419#123×C59—21no—
420#123×C59—21no—
421#123×C59D411yescharacteristic
422#123×C59D411yescharacteristic
423C22⋊Q8×C59—21no—
424C22⋊Q8×C59—21no—
425C22⋊Q8×C59—21no—
426C22⋊Q8×C59—21no—
427C22⋊Q8×C59—21no—
428C22⋊Q8×C59—21no—
429C22⋊Q8×C59—21no—
430C22⋊Q8×C59—21no—
431C22⋊Q8×C59D411yescharacteristic
432C22⋊Q8×C59C2311yescharacteristic
433C22⋊Q8×C59C2311yescharacteristic
434C22⋊Q8×C59C2311yescharacteristic
435C22⋊Q8×C59C2311yescharacteristic
436#121×C59—21no—
437#121×C59—21no—
438#121×C59—21no—
439#121×C59D411yescharacteristic
440#121×C59C2311yescharacteristic
441#121×C59C2311yescharacteristic
442C4×Q8×C59—21no—
443C4×Q8×C59—21no—
444C4×Q8×C59—21no—
445C4×Q8×C59—21no—
446C4×Q8×C59—21no—
447C4×Q8×C59C2311yescharacteristic
448C4×Q8×C59C2311yescharacteristic
449C4×Q8×C59C2311yescharacteristic
450C4×Q8×C59C2311yescharacteristic
451C4×Q8×C59C2311yescharacteristic
452C4×Q8×C59C2311yescharacteristic
453C4×Q8×C59C2311yescharacteristic
454C4×Q8×C59C2311yescharacteristic
455C4×Q8×C59C2311yescharacteristic
456C4×D4×C59—21no—
457C4×D4×C59—21no—
458C4×D4×C59—21no—
459C4×D4×C59—21no—
460C4×D4×C59—21no—
461C4×D4×C59—21no—
462C4×D4×C59—21no—
463C4×D4×C59—21no—
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469#117×C59—21no—
470#117×C59—21no—
471#117×C59—21no—
472#117×C59—21no—
473#117×C59—21no—
474#117×C59—21no—
475#117×C59C2311yescharacteristic
476#117×C59C2311yescharacteristic
477#117×C59C2311yescharacteristic
478C2×C4⋊C4×C59—21no—
479C2×C4⋊C4×C59—21no—
480C2×C4⋊C4×C59C2311yescharacteristic
481C2×C4⋊C4×C59C2311yescharacteristic
482C2×C42×C59—21no—
483C2×C42×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486#41×C59—22no—
487#41×C59—41no—
488C2×Q8×C59—21no—
489C2×Q8×C59—21no—
490C2×Q8×C59—21no—
491C2×Q8×C59—22no—
492C2×Q8×C59—22no—
493C2×Q8×C59—41no—
494C2×Q8×C59—41no—
495C2×Q8×C59C2×D411yescharacteristic
496C2×Q8×C59C2411yescharacteristic
497C2×Q8×C59C2411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59C2×D411yescharacteristic
503C2×D4×C59C2×D411yescharacteristic
504C2×D4×C59C2×D411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59C2×D411yescharacteristic
514C22×C4×C59C2×D411yescharacteristic
515C22×C4×C59C2411yescharacteristic
516C22×C4×C59C2411yescharacteristic
517C22×C4×C59C2411yescharacteristic
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526#11745689—82no—
527D4×D59—82no—
528#11745685—41no—
529#11745685—41no—
530#11745685—41no—
531#11745685—41no—
532#11745685—41no—
533#11745685—41no—
534#11745685—41no—
535#11745685—41no—
536#11745685—82no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236—41no—
548C2×D236—41no—
549C2×D236—41no—
550C2×D236—41no—
551C2×D236C2411yescharacteristic
552C2×D236C2411yescharacteristic
553C2×D236C2411yescharacteristic
554C2×D236C2411yescharacteristic
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×Dic118—21no—
564C2×Dic118C2411yescharacteristic
565C2×Dic118C2411yescharacteristic
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59—21no—
585C4⋊C4×C59—21no—
586C4⋊C4×C59—21no—
587C4⋊C4×C59C2×D411yescharacteristic
588C4⋊C4×C59C2×D411yescharacteristic
589C4⋊C4×C59C2×D411yescharacteristic
590C4⋊C4×C59C2×D411yescharacteristic
591C4⋊C4×C59C2×D411yescharacteristic
592C4⋊C4×C59C2×D411yescharacteristic
593C4⋊C4×C59C2×D411yescharacteristic
594C4⋊C4×C59C2×D411yescharacteristic
595C4⋊C4×C59C2×D411yescharacteristic
596C4⋊C4×C59C2×D411yescharacteristic
597C4⋊C4×C59C2411yescharacteristic
598C4⋊C4×C59C2411yescharacteristic
599C4⋊C4×C59C2411yescharacteristic
600C4⋊C4×C59C2411yescharacteristic
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59—21no—
610C22⋊C4×C59—21no—
611C22⋊C4×C59—21no—
612C22⋊C4×C59—21no—
613C22⋊C4×C59—21no—
614C22⋊C4×C59C2×D411yescharacteristic
615C22⋊C4×C59C2×D411yescharacteristic
616C22⋊C4×C59C2×D411yescharacteristic
617C22⋊C4×C59C2×D411yescharacteristic
618C22⋊C4×C59C2×D411yescharacteristic
619C22⋊C4×C59C2×D411yescharacteristic
620C22⋊C4×C59C2×D411yescharacteristic
621C22⋊C4×C59C2×D411yescharacteristic
622C22⋊C4×C59C2×D411yescharacteristic
623C22⋊C4×C59C2×D411yescharacteristic
624C42×C59—21no—
625C42×C59—21no—
626C42×C59—21no—
627C42×C59—21no—
628C42×C59—21no—
629C42×C59—21no—
630C42×C59—21no—
631C42×C59—21no—
632C42×C59—21no—
633C42×C59C2×D411yescharacteristic
634C42×C59C2×D411yescharacteristic
635C42×C59C2411yescharacteristic
636C42×C59C2411yescharacteristic
637C42×C59C2411yescharacteristic
638C42×C59C2411yescharacteristic
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641#11745672—22no—
642#11745672—22no—
643#11745672—41no—
644#11745672—41no—
645#11745672—41no—
646#11745672—41no—
647#11745671—22no—
648#11745671—22no—
649#11745671—22no—
650#11745671—22no—
651#11745671—41no—
652#11745671—41no—
653#11745671—41no—
654#11745671—41no—
655#11745671—41no—
656#11745671—41no—
657#11745671—41no—
658#11745671—41no—
659#11745670—41no—
660#11745670—41no—
661#11745669—41no—
662#11745669—41no—
663#11745669—41no—
664#11745669—41no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681C4⋊Dic59—21no—
682C4⋊Dic59—21no—
683C4⋊Dic59—21no—
684C4⋊Dic59C2411yescharacteristic
685C4⋊Dic59C2411yescharacteristic
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692#11745664—41no—
693#11745664—41no—
694#11745664—41no—
695#11745664—41no—
696C2×C59⋊C8—41no—
697C2×C59⋊C8—41no—
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704C2×C59⋊C8C2411yescharacteristic
705C2×C59⋊C8C2411yescharacteristic
706C23×C59—21no—
707C23×C59C22×D411yescharacteristic
708C23×C59C22×D411yescharacteristic
709C23×C59C22×D411yescharacteristic
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—81no—
715C22×D59—81no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720Q8×C59—21no—
721Q8×C59—21no—
722Q8×C59—21no—
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—41no—
726Q8×C59—42no—
727Q8×C59—42no—
728Q8×C59—81no—
729Q8×C59H(5,𝔽2)12yes—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—41no—
733D4×C59—41no—
734D4×C59—41no—
735D4×C59—42no—
736D4×C59—42no—
737D4×C59—81no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—41no—
752C2×C4×C59—41no—
753C2×C4×C59—42no—
754C2×C4×C59—42no—
755C2×C4×C59—42no—
756C2×C4×C59—81no—
757C2×C4×C59—81no—
758C2×C4×C59—81no—
759C2×C4×C59—81no—
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C22×D411yescharacteristic
768C2×C4×C59C22×D411yescharacteristic
769C2×C4×C59C22×D411yescharacteristic
770C2×C4×C59C22×D411yescharacteristic
771C2×C4×C59C2511yescharacteristic
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784D236—21no—
785D236—21no—
786D236—21no—
787D236—21no—
788D236—21no—
789D236—21no—
790D236—21no—
791D236—21no—
792D236—42no—
793D236—81no—
794D236—81no—
795D236—81no—
796D236—81no—
797D236—81no—
798D236—81no—
799D236—81no—
800D236—81no—
801D236—81no—
802C4×D59—42no—
803C4×D59—42no—
804C4×D59—81no—
805C4×D59—81no—
806C4×D59—81no—
807C4×D59—81no—
808C4×D59—81no—
809C4×D59—81no—
810Dic118—21no—
811Dic118—21no—
812Dic118—21no—
813Dic118—21no—
814Dic118—81no—
815C59⋊C8—21no—
816C59⋊C8—21no—
817C59⋊C8—21no—
818C59⋊C8—21no—
819C59⋊C8—21no—
820C59⋊C8—21no—
821C59⋊C8—21no—
822C59⋊C8—21no—
823#62085—591nomaximal, Sylow
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59—21no—
828C22×C59—21no—
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—21no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59C23×D411yescharacteristic
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—162no—
850C2×D59—162no—
851C4×C59—21no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—21no—
858C4×C59—21no—
859C4×C59—21no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—22no—
863C4×C59—41no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59—41no—
868C4×C59—41no—
869C4×C59C2×H(5,𝔽2)11yescharacteristic
870C4×C59#58511yescharacteristic
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875#3546—591no—
876#3516D5911yescharacteristic, complemented
877#3402—591no—
878#3397—591no—
879#3377—591no—
880#3368—591no—
881#3333—591no—
882#3322—591no—
883#3315—591no—
884#3314—591no—
885#3310—591no—
886#3309—591no—
887#3278—591no—
888#3275—591no—
889#3271—591no—
890#3269—591no—
891#3266—591no—
892#3265—591no—
893#3262—591no—
894#3258—591no—
895#3251—591no—
896#3224—591no—
897#3222—591no—
898#3219—591no—
899#3124—591no—
900#3121—591no—
901#3112—591no—
902#3045—591no—
903#3043—591no—
904#3037—591no—
905#2995—591no—
906C2×C59—41no—
907C2×C59—41no—
908C2×C59—41no—
909C2×C59—81no—
910C2×C59#348811yescharacteristic
911C2×C59#358511yescharacteristic
912C2×C59#358611yescharacteristic
913D59—81no—
914D59—81no—
915D59—81no—
916D59—81no—
917C2×#137—591no—
918C2×#137—591no—
919C2×#137—591no—
920C2×AGL(1,ℤ/8)—591no—
921C2×#135—591no—
922C22×SD16—591no—
923#560—1181no—
924#560—1181no—
925#557C2×D5911yescharacteristic, complemented
926#556—21no—
927#556—591no—
928#556C2×D5911yescharacteristic, complemented
929#554—21no—
930#554C2×D5911yescharacteristic, complemented
931#553—21no—
932#553—1181no—
933#553C2×D5911yescharacteristic, complemented
934#552—21no—
935#552C2×D5911yescharacteristic
936#550—591no—
937#550—591no—
938#550—591no—
939D4×Q8C2×D5911yescharacteristic, complemented
940#548C2×D5911yescharacteristic
941#548C2×D5911yescharacteristic, complemented
942#547—591no—
943#546—591no—
944#546—591no—
945#546—1181no—
946D42—591no—
947#542—21no—
948#542—591no—
949#542—591no—
950#542C2×D5911yescharacteristic, complemented
951#541—21no—
952#541C2×D5911yescharacteristic, complemented
953#538—1181no—
954#538—1181no—
955#537—1181no—
956#535—591no—
957#535—591no—
958#535—1181no—
959#532—591no—
960#532—591no—
961#529—21no—
962#529—21no—
963#529C2×D5911yescharacteristic
964#529C2×D5911yescharacteristic, complemented
965#520C2×D5911yescharacteristic, complemented
966#519C2×D5911yescharacteristic, complemented
967C2×C4×Q8C2×D5911yescharacteristic, complemented
968#497—591no—
969#497—591no—
970#496—591no—
971#496—591no—
972#495—591no—
973#492—591no—
974#491—591no—
975#490—591no—
976#490—591no—
977#489—591no—
978#488—591no—
979#486—591no—
980#485—591no—
981#484—591no—
982#482—591no—
983#480—591no—
984#480—591no—
985#480—591no—
986#479—591no—
987#478—591no—
988#478—591no—
989#478—591no—
990#477—591no—
991#477—591no—
992#477—591no—
993#475—591no—
994#474—591no—
995#474—591no—
996#470—591no—
997#469—591no—
998#469—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#468—591no—
1004#467—591no—
1005#467—591no—
1006#466—591no—
1007#465—591no—
1008#464—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#464—591no—
1015#464—591no—
1016#464—591no—
1017#464—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#462—591no—
1025#462—591no—
1026#462—591no—
1027#461—591no—
1028#460—591no—
1029#460—591no—
1030#460—591no—
1031#460—591no—
1032#460—591no—
1033#460—591no—
1034#460—591no—
1035#460—591no—
1036#459—591no—
1037#459—591no—
1038#452—591no—
1039#452—591no—
1040#452—591no—
1041#452—591no—
1042#452—591no—
1043#452—591no—
1044#451—591no—
1045#450—591no—
1046#450—591no—
1047#450—591no—
1048#449—591no—
1049#449—591no—
1050#449—591no—
1051#449—591no—
1052#448—591no—
1053#448—591no—
1054#448—591no—
1055#447—591no—
1056#446—591no—
1057#446—591no—
1058#441—591no—
1059#440—591no—
1060#440—591no—
1061#440—591no—
1062#440—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066C4×Q16—591no—
1067C4×Q16—591no—
1068C4×SD16—591no—
1069C4×D8—591no—
1070#436—591no—
1071#436—591no—
1072#435—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076#433—591no—
1077#433—591no—
1078#432—591no—
1079#424—591no—
1080#424—591no—
1081#423—591no—
1082#418—591no—
1083#417—591no—
1084#417—591no—
1085#417—591no—
1086#416—591no—
1087C2×#102—591no—
1088C59#6208511yescharacteristic, complemented, Sylow
1089C2×#41—591no—
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—1181no—
1094C2×#41—1181no—
1095C2×#41C22×D5911yescharacteristic
1096C22×Q8C22×D5911yescharacteristic
1097C22×Q8C22×D5911yescharacteristic
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—1181no—
1101#137—2362no—
1102#137—2362no—
1103#137—2362no—
1104AGL(1,ℤ/8)—2362no—
1105#135—2362no—
1106C2×Q16—591no—
1107C2×Q16—591no—
1108C2×Q16—591no—
1109C2×Q16—591no—
1110C2×Q16—591no—
1111C2×Q16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—2362no—
1127C2×D8—591no—
1128C2×D8—591no—
1129C2×D8—591no—
1130C2×D8—591no—
1131C2×M16—591no—
1132C2×M16—591no—
1133C2×M16—591no—
1134C2×M16—591no—
1135C22×C8—591no—
1136C22×C8—591no—
1137C4⋊Q8—21no—
1138C4⋊Q8—21no—
1139C4⋊Q8—591no—
1140C4⋊Q8—591no—
1141C4⋊Q8C22×D5911yescharacteristic
1142C4⋊Q8C22×D5911yescharacteristic
1143#127—591no—
1144#127—591no—
1145#127—591no—
1146#127—591no—
1147#127—1181no—
1148#127—1181no—
1149#126—21no—
1150#126—21no—
1151#126—21no—
1152#126—21no—
1153#126—21no—
1154#126—21no—
1155#126—21no—
1156#126—21no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#126—1181no—
1161#126C22⋊D5911yescharacteristic
1162#126C22⋊D5911yescharacteristic
1163#125—21no—
1164#125—21no—
1165#125—21no—
1166#125—21no—
1167#125—21no—
1168#125—21no—
1169#125C22⋊D5911yescharacteristic
1170#125C22×D5911yescharacteristic
1171#125C22×D5911yescharacteristic
1172#124—21no—
1173#124—21no—
1174#124—21no—
1175#124—591no—
1176#124—591no—
1177#124—591no—
1178#124—591no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124C22⋊D5911yescharacteristic
1183#124C22×D5911yescharacteristic
1184#124C22×D5911yescharacteristic
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123C22⋊D5911yescharacteristic
1196#123C22⋊D5911yescharacteristic
1197C22⋊Q8—21no—
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8—21no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—591no—
1206C22⋊Q8—591no—
1207C22⋊Q8—1181no—
1208C22⋊Q8—1181no—
1209C22⋊Q8—1181no—
1210C22⋊Q8C22⋊D5911yescharacteristic
1211C22⋊Q8C22×D5911yescharacteristic
1212C22⋊Q8C22×D5911yescharacteristic
1213C22⋊Q8C22×D5911yescharacteristic
1214C22⋊Q8C22×D5911yescharacteristic
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121—591no—
1219#121—591no—
1220#121—591no—
1221#121—591no—
1222#121—1181no—
1223#121—1181no—
1224#121—1181no—
1225#121—1181no—
1226#121—1181no—
1227#121—1181no—
1228#121—1181no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121C22⋊D5911yescharacteristic
1241#121C22×D5911yescharacteristic
1242#121C22×D5911yescharacteristic
1243#120—1181no—
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251C4×Q8—21no—
1252C4×Q8—21no—
1253C4×Q8—21no—
1254C4×Q8—21no—
1255C4×Q8—21no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×Q8C22×D5911yescharacteristic
1259C4×Q8C22×D5911yescharacteristic
1260C4×Q8C22×D5911yescharacteristic
1261C4×Q8C22×D5911yescharacteristic
1262C4×Q8C22×D5911yescharacteristic
1263C4×Q8C22×D5911yescharacteristic
1264C4×Q8C22×D5911yescharacteristic
1265C4×Q8C22×D5911yescharacteristic
1266C4×Q8C22×D5911yescharacteristic
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—591no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4C22×D5911yescharacteristic
1285C4×D4C22×D5911yescharacteristic
1286C4×D4C22×D5911yescharacteristic
1287C4×D4C22×D5911yescharacteristic
1288C4×D4C22×D5911yescharacteristic
1289#117—21no—
1290#117—21no—
1291#117—21no—
1292#117—21no—
1293#117—21no—
1294#117—21no—
1295#117—1181no—
1296#117C22×D5911yescharacteristic
1297#117C22×D5911yescharacteristic
1298#117C22×D5911yescharacteristic
1299C2×C4⋊C4—21no—
1300C2×C4⋊C4—21no—
1301C2×C4⋊C4—1181no—
1302C2×C4⋊C4C22×D5911yescharacteristic
1303C2×C4⋊C4C22×D5911yescharacteristic
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C42—21no—
1307C2×C42C22×D5911yescharacteristic
1308#107—591no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#107—591no—
1313#107—591no—
1314#106—591no—
1315#106—591no—
1316C4⋊C8—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8—591no—
1325C4⋊C8—591no—
1326#103—591no—
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103—591no—
1334#103—591no—
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358C22⋊C8—591no—
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363C22⋊C8—591no—
1364#97—591no—
1365#97—591no—
1366#97—591no—
1367#97—591no—
1368C4×C8—591no—
1369C4×C8—591no—
1370C24—1181no—
1371C24—1181no—
1372#41—22no—
1373#41—41no—
1374#41—4722no—
1375#41—4722no—
1376#41—2361no—
1377#41—2361no—
1378#41—2361no—
1379#41—2361no—
1380#41—2361no—
1381#41—2361no—
1382#41—2361no—
1383#41—2361no—
1384C2×Q8—21no—
1385C2×Q8—21no—
1386C2×Q8—21no—
1387C2×Q8—22no—
1388C2×Q8—22no—
1389C2×Q8—41no—
1390C2×Q8—41no—
1391C2×Q8—591no—
1392C2×Q8—591no—
1393C2×Q8—1181no—
1394C2×Q8C2×C22⋊D5911yescharacteristic
1395C2×Q8C23×D5911yescharacteristic
1396C2×Q8C23×D5911yescharacteristic
1397C2×Q8C23×D5911yescharacteristic
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—591no—
1402C2×D4—591no—
1403C2×D4—591no—
1404C2×D4—591no—
1405C2×D4—1181no—
1406C2×D4—1181no—
1407C2×D4—1181no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—4722no—
1424C2×D4—2361no—
1425C2×D4—2361no—
1426C2×D4—2361no—
1427C2×D4—2361no—
1428C2×D4C2×C22⋊D5911yescharacteristic
1429C2×D4C2×C22⋊D5911yescharacteristic
1430C2×D4C2×C22⋊D5911yescharacteristic
1431C2×D4C23×D5911yescharacteristic
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—1181no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4C2×C22⋊D5911yescharacteristic
1448C22×C4C2×C22⋊D5911yescharacteristic
1449C22×C4C23×D5911yescharacteristic
1450C22×C4C23×D5911yescharacteristic
1451C22×C4C23×D5911yescharacteristic
1452Q16—1182no—
1453Q16—1182no—
1454Q16—2361no—
1455Q16—2361no—
1456Q16—2361no—
1457Q16—2361no—
1458SD16—1182no—
1459SD16—1182no—
1460SD16—1182no—
1461SD16—1182no—
1462SD16—2361no—
1463SD16—2361no—
1464SD16—2361no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469SD16—2361no—
1470SD16—2361no—
1471SD16—2361no—
1472D8—2361no—
1473D8—2361no—
1474D8—2361no—
1475D8—2361no—
1476M16—2361no—
1477M16—2361no—
1478M16—2361no—
1479M16—2361no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—591no—
1483C2×C8—591no—
1484C2×C8—591no—
1485C2×C8—591no—
1486C2×C8—591no—
1487C2×C8—591no—
1488C2×C8—2361no—
1489C2×C8—2361no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—591no—
1512C4⋊C4—591no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4C2×C22⋊D5911yescharacteristic
1521C4⋊C4C2×C22⋊D5911yescharacteristic
1522C4⋊C4C2×C22⋊D5911yescharacteristic
1523C4⋊C4C2×C22⋊D5911yescharacteristic
1524C4⋊C4C2×C22⋊D5911yescharacteristic
1525C4⋊C4C2×C22⋊D5911yescharacteristic
1526C4⋊C4C2×C22⋊D5911yescharacteristic
1527C4⋊C4C2×C22⋊D5911yescharacteristic
1528C4⋊C4C2×C22⋊D5911yescharacteristic
1529C4⋊C4C2×C22⋊D5911yescharacteristic
1530C4⋊C4C23×D5911yescharacteristic
1531C4⋊C4C23×D5911yescharacteristic
1532C4⋊C4C23×D5911yescharacteristic
1533C4⋊C4C23×D5911yescharacteristic
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
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⋊C4C2×C22⋊D5911yescharacteristic
1566C22⋊C4C2×C22⋊D5911yescharacteristic
1567C22⋊C4C2×C22⋊D5911yescharacteristic
1568C22⋊C4C2×C22⋊D5911yescharacteristic
1569C22⋊C4C2×C22⋊D5911yescharacteristic
1570C22⋊C4C2×C22⋊D5911yescharacteristic
1571C22⋊C4C2×C22⋊D5911yescharacteristic
1572C22⋊C4C2×C22⋊D5911yescharacteristic
1573C22⋊C4C2×C22⋊D5911yescharacteristic
1574C22⋊C4C2×C22⋊D5911yescharacteristic
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—21no—
1579C42—21no—
1580C42—21no—
1581C42—21no—
1582C42—21no—
1583C42—21no—
1584C42—1181no—
1585C42—1181no—
1586C42C2×C22⋊D5911yescharacteristic
1587C42C2×C22⋊D5911yescharacteristic
1588C42C23×D5911yescharacteristic
1589C42C23×D5911yescharacteristic
1590C42C23×D5911yescharacteristic
1591C42C23×D5911yescharacteristic
1592C23—21no—
1593C23—1181no—
1594C23—1181no—
1595C23—1181no—
1596C23—1181no—
1597C23—4721no—
1598C23—4721no—
1599C23—4721no—
1600C23—4721no—
1601C23—4721no—
1602C23—4721no—
1603C23C22×C22⋊D5911yescharacteristic
1604C23C22×C22⋊D5911yescharacteristic
1605C23C22×C22⋊D5911yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—21no—
1611Q8—41no—
1612Q8—42no—
1613Q8—42no—
1614Q8—81no—
1615Q8—1181no—
1616Q8—1181no—
1617Q8—1181no—
1618Q8—1181no—
1619Q8—4721no—
1620Q8#1427377312yes—
1621D4—21no—
1622D4—21no—
1623D4—41no—
1624D4—41no—
1625D4—41no—
1626D4—42no—
1627D4—42no—
1628D4—81no—
1629D4—1181no—
1630D4—1181no—
1631D4—1181no—
1632D4—1181no—
1633D4—1181no—
1634D4—1181no—
1635D4—1181no—
1636D4—1181no—
1637D4—4721no—
1638D4—4721no—
1639D4—4721no—
1640D4—4721no—
1641D4—4721no—
1642D4—4721no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—4721no—
1648D4—4721no—
1649D4—4721no—
1650D4—4721no—
1651D4—4721no—
1652D4—4721no—
1653D4—4721no—
1654D4—2362no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—42no—
1671C2×C4—42no—
1672C2×C4—42no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—4721no—
1682C2×C4—4721no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—2362no—
1688C2×C4—2362no—
1689C2×C4C22×C22⋊D5911yescharacteristic
1690C2×C4C22×C22⋊D5911yescharacteristic
1691C2×C4C22×C22⋊D5911yescharacteristic
1692C2×C4C22×C22⋊D5911yescharacteristic
1693C2×C4C22×C22⋊D5911yescharacteristic
1694C2×C4C22×C22⋊D5911yescharacteristic
1695C2×C4C22×C22⋊D5911yescharacteristic
1696C2×C4C22×C22⋊D5911yescharacteristic
1697C2×C4C22×C22⋊D5911yescharacteristic
1698C2×C4C22×C22⋊D5911yescharacteristic
1699C2×C4C22×C22⋊D5911yescharacteristic
1700C2×C4C24×D5911yescharacteristic
1701C8—1181no—
1702C8—1181no—
1703C8—1181no—
1704C8—1181no—
1705C8—1181no—
1706C8—1181no—
1707C8—1181no—
1708C8—1181no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—21no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—9442no—
1722C22—9442no—
1723C22—2361no—
1724C22—2361no—
1725C22—2361no—
1726C22—2361no—
1727C22—2361no—
1728C22—2361no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22C23×C22⋊D5911yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—22no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—21no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—2361no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4C2×#1427377311yescharacteristic
1759C4#1683823811yescharacteristic
1760C2—41no—
1761C2—41no—
1762C2—41no—
1763C2—81no—
1764C2—4721no—
1765C2—4721no—
1766C2—4721no—
1767C2—4721no—
1768C2#2143776511yescharacteristic
1769C2#2143887511yescharacteristic
1770C2#2143888311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3516C2
socleC22×C59C23×D4
hypercenter#3516D59
hypocenterC59#62085
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #529 ◁ #3516

Complements

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

NH ≅ G/Ntype
1. #21438470C2semidirect
2. #21437171C2semidirect
3. #21437116C2semidirect
4. #21436938C2semidirect
5. #21436825C2semidirect
6. #21436428C2semidirect
7. #21436291C2semidirect
8. #21436186C2semidirect
9. #21436171C2semidirect
10. #21436111C2semidirect
11. #21436096C2semidirect
12. #21435758C2semidirect
13. #21435728C2semidirect
14. #21435682C2semidirect
15. #21435652C2semidirect
16. #21435607C2semidirect
17. #21435592C2semidirect
18. #21435552C2semidirect
19. #21435516C2semidirect
20. #21435458C2semidirect
21. #21435184C2semidirect
22. #21435162C2semidirect
23. #21435129C2semidirect
24. #21434358C2semidirect
25. #21434325C2semidirect
26. #21434218C2semidirect
27. #21433635C2semidirect
28. #21433617C2semidirect
29. #21433568C2semidirect
30. #21433266C2semidirect
31. C59×#3516C2semidirect
32. C2×#14273758C22semidirect
33. C2×#14273758C22semidirect
34. C2×#14273758C22semidirect
36. C2×#14273747C22semidirect
60. #16837797C22semidirect
63. #16837792C22semidirect
65. #16837776C22semidirect
66. #16837772C22semidirect
68. #16837768C22semidirect
71. #16837750C22semidirect
72. #16837743C22semidirect
73. #16837737C22semidirect
77. #16837715C22semidirect
78. #16837706C22semidirect
80. #16837699C22semidirect
81. #16837699C22semidirect
82. #16837697C22semidirect
83. #16837697C22semidirect
84. #16837694C22semidirect
85. #16837687C22semidirect
86. #16837682C22semidirect
87. #16837679C22semidirect
88. #16837658C22semidirect
90. #16837653C22semidirect
94. #16837650C22semidirect
95. #16837646C22semidirect
96. #16837641C22semidirect
97. #16837641C22semidirect
103. #16837624C22semidirect
104. #16837624C22semidirect
105. #16837624C22semidirect
106. #16837624C22semidirect
107. #16837624C22semidirect
108. #16837624C22semidirect
109. #16837621C22semidirect
111. #16837617C22semidirect
112. #16837617C22semidirect
114. #16837614C22semidirect
115. #16837614C22semidirect
116. #16837612C22semidirect
117. #16837612C22semidirect
118. #16837609C22semidirect
119. #16837604C22semidirect
125. #16837602C22semidirect
126. #16837602C22semidirect
127. #16837602C22semidirect
129. #16837597C22semidirect
130. #16837564C22semidirect
131. #16837562C22semidirect
132. #16837562C22semidirect
133. #16837562C22semidirect
134. #16837562C22semidirect
135. #16837562C22semidirect
136. #16837558C22semidirect
141. #16837545C22semidirect
142. #16837545C22semidirect
143. #16837545C22semidirect
146. #16837541C22semidirect
148. #16837533C22semidirect
149. #16837533C22semidirect
150. #16837507C22semidirect
151. #16837502C22semidirect
154. #16837500C22semidirect
155. #16837500C22semidirect
156. #16837500C22semidirect
157. #16837500C22semidirect
158. C4×#11745672C22semidirect
159. C4×#11745672C22semidirect
160. C4×#11745671C22semidirect
161. C4×#11745669C22semidirect
162. #16837480C22semidirect
163. #16837480C22semidirect
166. #16837474C22semidirect
167. #16837474C22semidirect
168. #16837463C22semidirect
169. #16837463C22semidirect
170. #16837459C22semidirect
171. #16837429C22semidirect
172. #16837429C22semidirect
173. #16837426C22semidirect
175. #16837401C22semidirect
176. #16837401C22semidirect
177. #16837401C22semidirect
178. #16837396C22semidirect
180. C59×#557C22semidirect
182. C59×#556C22semidirect
184. C59×#554C22semidirect
186. C59×#553C22semidirect
189. D4×Q8×C59C22semidirect
191. C59×#548C22semidirect
193. C59×#542C22semidirect
195. C59×#541C22semidirect
199. C59×#529C22semidirect
200. C59×#520C22semidirect
201. C59×#519C22semidirect
202. C2×C4×Q8×C59C22semidirect
876. #3516D59semidirect
925. #557C2×D59semidirect
928. #556C2×D59semidirect
930. #554C2×D59semidirect
933. #553C2×D59semidirect
939. D4×Q8C2×D59semidirect
941. #548C2×D59semidirect
950. #542C2×D59semidirect
952. #541C2×D59semidirect
964. #529C2×D59semidirect
965. #520C2×D59semidirect
966. #519C2×D59semidirect
967. C2×C4×Q8C2×D59semidirect
1088. C59#62085semidirect

Maximal subgroups

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

subgroupindex
#214384702
#214371712
#214371162
#214369382
#214368252
#214364282
#214362912
#214361862
#214361712
#214361112
#214360962
#214357582
#214357282
#214356822
#214356522
#214356072
#214355922
#214355522
#214355162
#214354582
#214351842
#214351622
#214351292
#214343582
#214343252
#214342182
#214336352
#214336172
#214335682
#214332662
C59×#35162
#6208559