Finite Group Databasebeta

← #29485892

Subgroups — #29485892

Order 15104.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438040C211yesmaximal, characteristic, complemented
2#21437050C211yesmaximal, characteristic, complemented
3#21436967C211yesmaximal, characteristic, complemented
4#21436864C211yesmaximal, characteristic, complemented
5#21436756C211yesmaximal, characteristic, complemented
6#21436685C211yesmaximal, characteristic, complemented
7#21436656C211yesmaximal, characteristic, complemented
8#21436650C211yesmaximal, characteristic, complemented
9#21436620C211yesmaximal, characteristic, complemented
10#21436536C211yesmaximal, characteristic, complemented
11#21436492C211yesmaximal, characteristic, complemented
12#21436321C211yesmaximal, characteristic, complemented
13#21436306C211yesmaximal, characteristic, complemented
14#21436291C211yesmaximal, characteristic, complemented
15#21436246C211yesmaximal, characteristic, complemented
16#21436231C211yesmaximal, characteristic, complemented
17#21435925C211yesmaximal, characteristic, complemented
18#21435552C211yesmaximal, characteristic, complemented
19#21435507C211yesmaximal, characteristic, complemented
20#21435492C211yesmaximal, characteristic, complemented
21#21435394C211yesmaximal, characteristic, complemented
22#21435349C211yesmaximal, characteristic, complemented
23#21435275C211yesmaximal, characteristic, complemented
24#21434367C211yesmaximal, characteristic, complemented
25#21434274C211yesmaximal, characteristic, complemented
26#21434139C211yesmaximal, characteristic, complemented
27#21433943C211yesmaximal, characteristic, complemented
28#21433921C211yesmaximal, characteristic, complemented
29#21433889C211yesmaximal, characteristic, complemented
30#21433245C211yesmaximal, characteristic, complemented
31C59×#3565C211yesmaximal, characteristic, complemented
32#16838137C2211yescharacteristic
33#16838112C2211yescharacteristic
34#16838103—21no—
35#16838098C2211yescharacteristic
36#16838092C2211yescharacteristic
37#16838079—21no—
38#16838077—21no—
39#16838056C2211yescharacteristic
40#16838048C2211yescharacteristic
41#16838048C2211yescharacteristic
42#16838041—21no—
43D4×D236C2211yescharacteristic
44#16838023C2211yescharacteristic
45#16838007C2211yescharacteristic
46#16838000—21no—
47#16837986—21no—
48#16837936C2211yescharacteristic
49#16837910—21no—
50#123×D59—21no—
51#16837882C2211yescharacteristic
52#16837876C2211yescharacteristic
53C2×C4×D236C2211yescharacteristic
54#16837812C2211yescharacteristic, complemented
55#16837808C2211yescharacteristic, complemented
56#16837801C2211yescharacteristic, complemented
57#16837801C2211yescharacteristic, complemented
58#16837801C2211yescharacteristic, complemented
59#16837798C2211yescharacteristic, complemented
60#16837768C2211yescharacteristic
61#16837764C2211yescharacteristic, complemented
62#16837759C2211yescharacteristic, complemented
63#16837759C2211yescharacteristic, complemented
64#16837759C2211yescharacteristic, complemented
65#16837750C2211yescharacteristic
66#16837743C2211yescharacteristic, complemented
67#16837743C2211yescharacteristic, complemented
68#16837743C2211yescharacteristic, complemented
69#16837740C2211yescharacteristic, complemented
70#16837735C2211yescharacteristic, complemented
71#16837732C2211yescharacteristic, complemented
72#16837730C2211yescharacteristic, complemented
73#16837726C2211yescharacteristic
74#16837726C2211yescharacteristic
75#16837726C2211yescharacteristic
76#16837726C2211yescharacteristic, complemented
77#16837726C2211yescharacteristic, complemented
78#16837723C2211yescharacteristic, complemented
79#16837720C2211yescharacteristic
80#16837720C2211yescharacteristic, complemented
81#16837718C2211yescharacteristic, complemented
82#16837718C2211yescharacteristic, complemented
83#16837715C2211yescharacteristic, complemented
84#16837709C2211yescharacteristic, complemented
85#16837709C2211yescharacteristic, complemented
86#16837706C2211yescharacteristic, complemented
87#16837706C2211yescharacteristic, complemented
88#16837702C2211yescharacteristic, complemented
89#16837702C2211yescharacteristic, complemented
90#16837699C2211yescharacteristic
91#16837699C2211yescharacteristic
92#16837699C2211yescharacteristic
93#16837699C2211yescharacteristic
94#16837699C2211yescharacteristic
95#16837699C2211yescharacteristic, complemented
96#16837699C2211yescharacteristic, complemented
97#16837699C2211yescharacteristic, complemented
98#16837699C2211yescharacteristic, complemented
99#16837699C2211yescharacteristic, complemented
100#16837697C2211yescharacteristic, complemented
101#16837694C2211yescharacteristic, complemented
102#16837694C2211yescharacteristic, complemented
103#16837689C2211yescharacteristic
104#16837689C2211yescharacteristic, complemented
105#16837689C2211yescharacteristic, complemented
106#16837689C2211yescharacteristic, complemented
107#16837684C2211yescharacteristic, complemented
108#16837682C2211yescharacteristic, complemented
109#16837679C2211yescharacteristic
110#16837679C2211yescharacteristic
111#16837679C2211yescharacteristic
112#16837679C2211yescharacteristic, complemented
113#16837679C2211yescharacteristic, complemented
114#16837658C2211yescharacteristic, complemented
115#16837653C2211yescharacteristic
116#16837653C2211yescharacteristic, complemented
117#16837650C2211yescharacteristic
118#16837650C2211yescharacteristic
119#16837650C2211yescharacteristic, complemented
120#16837646C2211yescharacteristic, complemented
121#16837646C2211yescharacteristic, complemented
122#16837641C2211yescharacteristic, complemented
123#16837636C2211yescharacteristic
124#16837636C2211yescharacteristic, complemented
125#16837633C2211yescharacteristic, complemented
126#16837624C2211yescharacteristic, complemented
127#16837624C2211yescharacteristic, complemented
128#16837621C2211yescharacteristic, complemented
129#16837617C2211yescharacteristic, complemented
130#16837617C2211yescharacteristic, complemented
131#16837614C2211yescharacteristic
132#16837614C2211yescharacteristic, complemented
133#16837614C2211yescharacteristic, complemented
134#16837602C2211yescharacteristic
135#16837597C2211yescharacteristic
136#16837562C2211yescharacteristic
137#16837552C2211yescharacteristic
138#16837552C2211yescharacteristic
139#16837545C2211yescharacteristic
140#16837535C2211yescharacteristic
141#16837535C2211yescharacteristic
142#16837533C2211yescharacteristic, complemented
143Q8×C59⋊C8C2211yescharacteristic, complemented
144#16837512C2211yescharacteristic
145#16837512C2211yescharacteristic
146#16837507C2211yescharacteristic, complemented
147#16837500C2211yescharacteristic, complemented
148C4×#11745671C2211yescharacteristic
149C4×#11745671C2211yescharacteristic
150C4×#11745671C2211yescharacteristic
151C4×#11745671C2211yescharacteristic, complemented
152C4×#11745670C2211yescharacteristic, complemented
153C4×#11745669C2211yescharacteristic
154C4×#11745669C2211yescharacteristic, complemented
155C4×#11745669C2211yescharacteristic, complemented
156#16837480C2211yescharacteristic
157#16837480C2211yescharacteristic, complemented
158#16837480C2211yescharacteristic, complemented
159#16837474C2211yescharacteristic
160#16837474C2211yescharacteristic, complemented
161D4×C59⋊C8C2211yescharacteristic, complemented
162#16837463C2211yescharacteristic, complemented
163#16837463C2211yescharacteristic, complemented
164#16837455C2211yescharacteristic, complemented
165#16837445C2211yescharacteristic, complemented
166#16837445C2211yescharacteristic, complemented
167#16837445C2211yescharacteristic, complemented
168#16837442C2211yescharacteristic, complemented
169#16837438C2211yescharacteristic, complemented
170C2×#14273660C2211yescharacteristic, complemented
171#16837429C2211yescharacteristic, complemented
172#16837429C2211yescharacteristic, complemented
173#16837426C2211yescharacteristic, complemented
174#16837406C2211yescharacteristic
175#16837406C2211yescharacteristic
176#16837406C2211yescharacteristic
177#16837401C2211yescharacteristic
178#16837396C2211yescharacteristic
179C2×#14273647C2211yescharacteristic
180C59×#563—21no—
181C59×#562—21no—
182C59×#557C2211yescharacteristic, complemented
183C59×#556—21no—
184C59×#556C2211yescharacteristic
185C59×#555C2211yescharacteristic, complemented
186C59×#554C2211yescharacteristic, complemented
187C59×#553C2211yescharacteristic
188C59×#553C2211yescharacteristic, complemented
189C59×#552—21no—
190C59×#552C2211yescharacteristic, complemented
191C59×#552C2211yescharacteristic, complemented
192C59×#544C2211yescharacteristic, complemented
193C59×#544C2211yescharacteristic, complemented
194C59×#542—21no—
195C59×#542—21no—
196C59×#542C2211yescharacteristic, complemented
197C59×#542C2211yescharacteristic, complemented
198C59×#541—21no—
199C59×#539—21no—
200C59×#533C2211yescharacteristic, complemented
201C59×#529C2211yescharacteristic
202C59×#529C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745687—21no—
205C22×D236C2311yescharacteristic
206C22×D236C2311yescharacteristic
207C2×D4×D59—21no—
208C22×C4×D59—21no—
209C2×#11745672C2311yescharacteristic
210C2×#11745670C2311yescharacteristic
211C2×#11745671C2311yescharacteristic
212C2×#11745671C2311yescharacteristic
213C2×#11745671C2311yescharacteristic
214C2×#11745669C2311yescharacteristic
215C2×#11745669C2311yescharacteristic
216C2×#11745669C2311yescharacteristic
217C2×#11745664C2311yescharacteristic
218C2×#11745664C2311yescharacteristic
219C2×#11745664C2311yescharacteristic
220C2×#11745664C2311yescharacteristic
221C22×C59⋊C8C2311yescharacteristic
222C22×C59⋊C8C2311yescharacteristic
223#14273727C2311yescharacteristic
224#14273724C2311yescharacteristic
225#14273722—21no—
226#14273722—21no—
227#14273721—21no—
228#14273720—21no—
229#14273719C2311yescharacteristic
230#14273719C2311yescharacteristic
231#14273717—21no—
232#14273716—21no—
233#14273715C2311yescharacteristic
234#14273715C2311yescharacteristic
235#14273713—21no—
236#14273712—21no—
237#14273712—21no—
238#14273712—21no—
239#14273712—21no—
240#14273712—21no—
241#14273712—21no—
242#14273711—21no—
243#14273711—21no—
244#14273710—21no—
245#14273709—21no—
246#14273709—21no—
247#14273708—21no—
248#14273707—21no—
249#14273706C2311yescharacteristic
250#14273706C2311yescharacteristic
251#14273705—21no—
252#14273705—21no—
253#14273705—21no—
254#14273703—21no—
255#14273702—21no—
256#14273701C2311yescharacteristic
257#14273701C2311yescharacteristic
258#14273701C2311yescharacteristic
259#14273701C2311yescharacteristic
260#14273700—21no—
261#14273700—21no—
262#14273700—21no—
263#14273700—21no—
264#14273699—21no—
265#14273697—21no—
266#14273697—21no—
267#14273695—21no—
268#14273695—21no—
269C4×Dic118C2311yescharacteristic
270C4×Dic118C2311yescharacteristic
271C4×D236—21no—
272C4×D236—21no—
273C4×D236C2311yescharacteristic
274C4×D236C2311yescharacteristic
275C4×D236C2311yescharacteristic
276C4×D236C2311yescharacteristic
277C4×D236C2311yescharacteristic
278C4×D236C2311yescharacteristic
279C4×D236C2311yescharacteristic
280C4×D236C2311yescharacteristic
281#14273689—21no—
282#14273689—21no—
283#14273689—21no—
284C4×C22⋊D59—21no—
285(C22⋊D59)⋊C4—21no—
286(C22⋊D59)⋊C4—21no—
287(C22⋊D59)⋊C4—21no—
288#14273686C2311yescharacteristic
289#14273685—21no—
290#14273684—21no—
291#14273683—21no—
292C2×C4⋊Dic59C2311yescharacteristic
293C2×C4⋊Dic59C2311yescharacteristic
294C4⋊C4×D59—21no—
295C4⋊C4×D59—21no—
296C2×(C2×D59)⋊C4—21no—
297C22⋊C4×D59—21no—
298C22⋊C4×D59—21no—
299C22⋊C4×D59—21no—
300C22⋊C4×D59—21no—
301#14273660C2311yescharacteristic
302#14273660C2311yescharacteristic
303#14273660C2311yescharacteristic
304#14273660C2311yescharacteristic
305#14273660C2311yescharacteristic
306#14273660C2311yescharacteristic
307#14273660C2311yescharacteristic
308#14273660C2311yescharacteristic
309#14273660C2311yescharacteristic
310#14273660C2311yescharacteristic
311#14273660C2311yescharacteristic
312#14273660C2311yescharacteristic
313#14273658C2311yescharacteristic
314#14273658C2311yescharacteristic
315#14273658C2311yescharacteristic
316#14273658C2311yescharacteristic
317#14273658C2311yescharacteristic
318#14273658C2311yescharacteristic
319#14273658C2311yescharacteristic
320#14273658C2311yescharacteristic
321#14273658C2311yescharacteristic
322#14273658C2311yescharacteristic
323#14273658C2311yescharacteristic
324#14273658C2311yescharacteristic
325C4⋊(C59⋊C8)C2311yescharacteristic
326C4⋊(C59⋊C8)C2311yescharacteristic
327C4⋊(C59⋊C8)C2311yescharacteristic
328C4⋊(C59⋊C8)C2311yescharacteristic
329C4⋊(C59⋊C8)C2311yescharacteristic
330C4⋊(C59⋊C8)C2311yescharacteristic
331C4⋊(C59⋊C8)C2311yescharacteristic
332C4⋊(C59⋊C8)C2311yescharacteristic
333C4⋊(C59⋊C8)C2311yescharacteristic
334C4⋊(C59⋊C8)C2311yescharacteristic
335#14273651C2311yescharacteristic
336#14273651C2311yescharacteristic
337#14273651C2311yescharacteristic
338#14273651C2311yescharacteristic
339#14273650C2311yescharacteristic
340#14273650C2311yescharacteristic
341#14273650C2311yescharacteristic
342#14273650C2311yescharacteristic
343#14273650C2311yescharacteristic
344#14273650C2311yescharacteristic
345#14273648C2311yescharacteristic
346#14273648C2311yescharacteristic
347#14273648C2311yescharacteristic
348#14273648C2311yescharacteristic
349#14273647C2311yescharacteristic
350#14273647C2311yescharacteristic
351#14273647C2311yescharacteristic
352#14273647C2311yescharacteristic
353#14273647C2311yescharacteristic
354#14273647C2311yescharacteristic
355#14273647C2311yescharacteristic
356#14273647C2311yescharacteristic
357#14273647C2311yescharacteristic
358#14273647C2311yescharacteristic
359#14273647C2311yescharacteristic
360#14273647C2311yescharacteristic
361#14273647C2311yescharacteristic
362#14273647C2311yescharacteristic
363#14273647C2311yescharacteristic
364#14273647C2311yescharacteristic
365#14273647C2311yescharacteristic
366#14273647C2311yescharacteristic
367C22⋊(C59⋊C8)C2311yescharacteristic
368C22⋊(C59⋊C8)C2311yescharacteristic
369C22⋊(C59⋊C8)C2311yescharacteristic
370C22⋊(C59⋊C8)C2311yescharacteristic
371C22⋊(C59⋊C8)C2311yescharacteristic
372C22⋊(C59⋊C8)C2311yescharacteristic
373#14273638C2311yescharacteristic
374#14273638C2311yescharacteristic
375C4×C59⋊C8C2311yescharacteristic
376C4×C59⋊C8C2311yescharacteristic
377C4×C59⋊C8C2311yescharacteristic
378C4×C59⋊C8C2311yescharacteristic
379C4⋊Q8×C59—21no—
380C4⋊Q8×C59—21no—
381C4⋊Q8×C59—21no—
382C4⋊Q8×C59C2311yescharacteristic
383C4⋊Q8×C59C2311yescharacteristic
384C4⋊Q8×C59C2311yescharacteristic
385C4⋊Q8×C59C2311yescharacteristic
386#126×C59—21no—
387#126×C59—21no—
388#126×C59—21no—
389#126×C59—21no—
390#126×C59—21no—
391#126×C59—21no—
392#126×C59—21no—
393#126×C59—21no—
394#126×C59—21no—
395#126×C59D411yescharacteristic
396#126×C59D411yescharacteristic
397#125×C59—21no—
398#125×C59—21no—
399#125×C59—21no—
400#125×C59—21no—
401#125×C59—21no—
402#125×C59—21no—
403#125×C59D411yescharacteristic
404#125×C59C2311yescharacteristic
405#125×C59C2311yescharacteristic
406#125×C59C2311yescharacteristic
407#125×C59C2311yescharacteristic
408#125×C59C2311yescharacteristic
409#124×C59—21no—
410#124×C59—21no—
411#124×C59—21no—
412#124×C59—21no—
413#124×C59—21no—
414#124×C59D411yescharacteristic
415#124×C59C2311yescharacteristic
416#123×C59—21no—
417#123×C59—21no—
418#123×C59—21no—
419#123×C59—21no—
420#123×C59—21no—
421#123×C59—21no—
422#123×C59—21no—
423#123×C59D411yescharacteristic
424#123×C59D411yescharacteristic
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×C59—21no—
432C22⋊Q8×C59—21no—
433C22⋊Q8×C59—21no—
434C22⋊Q8×C59—21no—
435C22⋊Q8×C59—21no—
436C22⋊Q8×C59D411yescharacteristic
437C22⋊Q8×C59C2311yescharacteristic
438C22⋊Q8×C59C2311yescharacteristic
439C22⋊Q8×C59C2311yescharacteristic
440#121×C59—21no—
441#121×C59—21no—
442#121×C59—21no—
443#121×C59D411yescharacteristic
444#121×C59C2311yescharacteristic
445#121×C59C2311yescharacteristic
446#121×C59C2311yescharacteristic
447C4×Q8×C59—21no—
448C4×Q8×C59—21no—
449C4×Q8×C59—21no—
450C4×Q8×C59—21no—
451C4×Q8×C59C2311yescharacteristic
452C4×Q8×C59C2311yescharacteristic
453C4×Q8×C59C2311yescharacteristic
454C4×Q8×C59C2311yescharacteristic
455C4×D4×C59—21no—
456C4×D4×C59—21no—
457C4×D4×C59—21no—
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464#117×C59—21no—
465#117×C59—21no—
466#117×C59—21no—
467#117×C59—21no—
468#117×C59C2311yescharacteristic
469#117×C59C2311yescharacteristic
470#117×C59C2311yescharacteristic
471#117×C59C2311yescharacteristic
472#117×C59C2311yescharacteristic
473#117×C59C2311yescharacteristic
474C2×C4⋊C4×C59—21no—
475C2×C4⋊C4×C59C2311yescharacteristic
476C2×C4⋊C4×C59C2311yescharacteristic
477C2×C42×C59C2311yescharacteristic
478C23×D59—21no—
479C23×D59—21no—
480C2×Q8×C59—21no—
481C2×Q8×C59—21no—
482C2×Q8×C59—21no—
483C2×Q8×C59—21no—
484C2×Q8×C59C2×D411yescharacteristic
485C2×Q8×C59C2411yescharacteristic
486C2×D4×C59—21no—
487C2×D4×C59—21no—
488C2×D4×C59—21no—
489C2×D4×C59C2×D411yescharacteristic
490C2×D4×C59C2×D411yescharacteristic
491C2×D4×C59C2×D411yescharacteristic
492C2×D4×C59C2411yescharacteristic
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59C2×D411yescharacteristic
499C22×C4×C59C2×D411yescharacteristic
500C22×C4×C59C2411yescharacteristic
501C22×C4×C59C2411yescharacteristic
502C22×C4×C59C2411yescharacteristic
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C22×Dic59—21no—
509C22×Dic59—21no—
510#11745687—82no—
511D4×D59—82no—
512#11745685—22no—
513#11745685—41no—
514C2×D236—22no—
515C2×D236—22no—
516C2×D236—21no—
517C2×D236—21no—
518C2×D236—21no—
519C2×D236—21no—
520C2×D236—41no—
521C2×D236—41no—
522C2×D236C2411yescharacteristic
523C2×D236C2411yescharacteristic
524C2×D236C2411yescharacteristic
525C2×C4×D59—21no—
526C2×C4×D59—21no—
527C2×C4×D59—21no—
528C2×C4×D59—21no—
529C2×C4×D59—21no—
530C2×C4×D59—21no—
531C2×C4×D59—21no—
532C2×C4×D59—21no—
533C2×C4×D59—21no—
534C2×C4×D59—82no—
535C2×Dic118—21no—
536C2×Dic118C2411yescharacteristic
537C4⋊C4×C59—21no—
538C4⋊C4×C59—21no—
539C4⋊C4×C59—21no—
540C4⋊C4×C59—21no—
541C4⋊C4×C59—21no—
542C4⋊C4×C59—21no—
543C4⋊C4×C59—21no—
544C4⋊C4×C59—21no—
545C4⋊C4×C59—21no—
546C4⋊C4×C59—21no—
547C4⋊C4×C59—21no—
548C4⋊C4×C59—21no—
549C4⋊C4×C59—21no—
550C4⋊C4×C59—21no—
551C4⋊C4×C59—21no—
552C4⋊C4×C59—21no—
553C4⋊C4×C59—21no—
554C4⋊C4×C59—21no—
555C4⋊C4×C59—21no—
556C4⋊C4×C59—21no—
557C4⋊C4×C59—21no—
558C4⋊C4×C59—21no—
559C4⋊C4×C59C2×D411yescharacteristic
560C4⋊C4×C59C2×D411yescharacteristic
561C4⋊C4×C59C2×D411yescharacteristic
562C4⋊C4×C59C2×D411yescharacteristic
563C4⋊C4×C59C2×D411yescharacteristic
564C4⋊C4×C59C2×D411yescharacteristic
565C4⋊C4×C59C2×D411yescharacteristic
566C4⋊C4×C59C2×D411yescharacteristic
567C4⋊C4×C59C2×D411yescharacteristic
568C4⋊C4×C59C2×D411yescharacteristic
569C4⋊C4×C59C2411yescharacteristic
570C4⋊C4×C59C2411yescharacteristic
571C4⋊C4×C59C2411yescharacteristic
572C4⋊C4×C59C2411yescharacteristic
573C4⋊C4×C59C2411yescharacteristic
574C4⋊C4×C59C2411yescharacteristic
575C22⋊C4×C59—21no—
576C22⋊C4×C59—21no—
577C22⋊C4×C59—21no—
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59C2×D411yescharacteristic
591C22⋊C4×C59C2×D411yescharacteristic
592C22⋊C4×C59C2×D411yescharacteristic
593C22⋊C4×C59C2×D411yescharacteristic
594C22⋊C4×C59C2×D411yescharacteristic
595C22⋊C4×C59C2×D411yescharacteristic
596C22⋊C4×C59C2×D411yescharacteristic
597C22⋊C4×C59C2×D411yescharacteristic
598C22⋊C4×C59C2×D411yescharacteristic
599C22⋊C4×C59C2×D411yescharacteristic
600C42×C59—21no—
601C42×C59—21no—
602C42×C59—21no—
603C42×C59—21no—
604C42×C59—21no—
605C42×C59—21no—
606C42×C59—21no—
607C42×C59C2×D411yescharacteristic
608C42×C59C2×D411yescharacteristic
609C42×C59C2411yescharacteristic
610C42×C59C2411yescharacteristic
611C42×C59C2411yescharacteristic
612C42×C59C2411yescharacteristic
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616#11745672—41no—
617#11745671—22no—
618#11745671—41no—
619#11745671—41no—
620#11745670—41no—
621#11745669—22no—
622#11745669—41no—
623#11745669—41no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59C2411yescharacteristic
644C4⋊Dic59C2411yescharacteristic
645C4⋊Dic59C2411yescharacteristic
646C4⋊Dic59C2411yescharacteristic
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655C4×Dic59—21no—
656C4×Dic59—21no—
657C4×Dic59—21no—
658#11745664—41no—
659#11745664—41no—
660#11745664—41no—
661#11745664—41no—
662C2×C59⋊C8—41no—
663C2×C59⋊C8—41no—
664C2×C59⋊C8C2411yescharacteristic
665C2×C59⋊C8C2411yescharacteristic
666C2×C59⋊C8C2411yescharacteristic
667C2×C59⋊C8C2411yescharacteristic
668C2×C59⋊C8C2411yescharacteristic
669C2×C59⋊C8C2411yescharacteristic
670C2×C59⋊C8C2411yescharacteristic
671C2×C59⋊C8C2411yescharacteristic
672C23×C59—21no—
673C23×C59C22×D411yescharacteristic
674C23×C59C22×D411yescharacteristic
675C23×C59C22×D411yescharacteristic
676C22×D59—21no—
677C22×D59—21no—
678C22×D59—21no—
679C22×D59—42no—
680C22×D59—42no—
681C22×D59—42no—
682C22×D59—81no—
683C22×D59—81no—
684C22×D59—81no—
685Q8×C59—21no—
686Q8×C59—21no—
687Q8×C59—41no—
688Q8×C59—81no—
689Q8×C59—81no—
690Q8×C59—81no—
691Q8×C59—81no—
692D4×C59—21no—
693D4×C59—21no—
694D4×C59—41no—
695D4×C59—41no—
696D4×C59—41no—
697D4×C59—81no—
698D4×C59—81no—
699D4×C59—81no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—41no—
714C2×C4×C59—41no—
715C2×C4×C59—81no—
716C2×C4×C59—81no—
717C2×C4×C59—81no—
718C2×C4×C59—81no—
719C2×C4×C59—81no—
720C2×C4×C59C22×D411yescharacteristic
721C2×C4×C59C22×D411yescharacteristic
722C2×C4×C59C22×D411yescharacteristic
723C2×C4×C59C22×D411yescharacteristic
724C2×C4×C59C22×D411yescharacteristic
725C2×C4×C59C22×D411yescharacteristic
726C2×C4×C59C22×D411yescharacteristic
727C2×C4×C59C22×D411yescharacteristic
728C2×C4×C59C22×D411yescharacteristic
729C2×C4×C59C22×D411yescharacteristic
730C2×C4×C59C22×D411yescharacteristic
731C2×C4×C59C2511yescharacteristic
732C22⋊D59—42no—
733C22⋊D59—42no—
734C22⋊D59—81no—
735C22⋊D59—81no—
736C22⋊D59—81no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—42no—
743C2×Dic59—81no—
744D236—21no—
745D236—21no—
746D236—21no—
747D236—21no—
748D236—21no—
749D236—42no—
750D236—42no—
751D236—81no—
752D236—81no—
753D2362−1+412yes—
754C4×D59—42no—
755C4×D59—81no—
756C4×D59—81no—
757C4×D59—81no—
758C4×D59—81no—
759C4×D59—81no—
760C4×D59—81no—
761C4×D59—81no—
762C4×D59—81no—
763Dic118—21no—
764Dic118—21no—
765Dic118—81no—
766C59⋊C8—21no—
767C59⋊C8—21no—
768C59⋊C8—21no—
769C59⋊C8—21no—
770C59⋊C8—21no—
771C59⋊C8—21no—
772C59⋊C8—21no—
773C59⋊C8—21no—
774#62175—591nomaximal, Sylow
775C22×C59—21no—
776C22×C59—21no—
777C22×C59—21no—
778C22×C59—21no—
779C22×C59—21no—
780C22×C59—21no—
781C22×C59—21no—
782C22×C59—21no—
783C22×C59—21no—
784C22×C59—41no—
785C22×C59—41no—
786C22×C59—41no—
787C22×C59C23×D411yescharacteristic
788C2×D59—22no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—84no—
798C2×D59—162no—
799C4×C59—21no—
800C4×C59—21no—
801C4×C59—21no—
802C4×C59—21no—
803C4×C59—21no—
804C4×C59—21no—
805C4×C59—21no—
806C4×C59—21no—
807C4×C59—21no—
808C4×C59—21no—
809C4×C59—21no—
810C4×C59—41no—
811C4×C59—41no—
812C4×C59—41no—
813C4×C59—41no—
814C4×C59—41no—
815C4×C59—41no—
816C4×C59—41no—
817C4×C59C2×2−1+411yescharacteristic
818C4×C59#58511yescharacteristic
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823Dic59—41no—
824#3565D5911yescharacteristic, complemented
825#3513—591no—
826#3389—591no—
827#3381—591no—
828#3371—591no—
829#3361—591no—
830#3354—591no—
831#3351—591no—
832#3351—591no—
833#3349—591no—
834#3343—591no—
835#3339—591no—
836#3324—591no—
837#3323—591no—
838#3322—591no—
839#3319—591no—
840#3318—591no—
841#3296—591no—
842#3262—591no—
843#3257—591no—
844#3256—591no—
845#3244—591no—
846#3241—591no—
847#3233—591no—
848#3125—591no—
849#3118—591no—
850#3105—591no—
851#3083—591no—
852#3081—591no—
853#3077—591no—
854#2993—591no—
855C2×C59—41no—
856C2×C59—41no—
857C2×C59—41no—
858C2×C59—81no—
859C2×C59#348911yescharacteristic
860C2×C59#358411yescharacteristic
861C2×C59#358511yescharacteristic
862D59—42no—
863D59—81no—
864D59—81no—
865#563—21no—
866#562—21no—
867#559—591no—
868#557C2×D5911yescharacteristic, complemented
869#556—21no—
870#556C2×D5911yescharacteristic
871#555C2×D5911yescharacteristic, complemented
872#554—591no—
873#554C2×D5911yescharacteristic, complemented
874#553—591no—
875#553—1181no—
876#553C2×D5911yescharacteristic
877#553C2×D5911yescharacteristic, complemented
878#552—21no—
879#552—591no—
880#552C2×D5911yescharacteristic, complemented
881#552C2×D5911yescharacteristic, complemented
882#551—1181no—
883#551—1181no—
884#547—591no—
885#546—591no—
886#546—591no—
887#546—1181no—
888D42—591no—
889#544C2×D5911yescharacteristic, complemented
890#544C2×D5911yescharacteristic, complemented
891#542—21no—
892#542—21no—
893#542—591no—
894#542C2×D5911yescharacteristic, complemented
895#542C2×D5911yescharacteristic, complemented
896#541—21no—
897#540—591no—
898#539—21no—
899#539—1181no—
900#538—1181no—
901#533C2×D5911yescharacteristic, complemented
902#529—591no—
903#529C2×D5911yescharacteristic
904#529C2×D5911yescharacteristic, complemented
905#525—1181no—
906C2×#123—1181no—
907#520—591no—
908#518—591no—
909C2×C4×D4—591no—
910#501—591no—
911#501—591no—
912#499—591no—
913#499—591no—
914#499—591no—
915#498—591no—
916#490—591no—
917#489—591no—
918#488—591no—
919#488—591no—
920#488—591no—
921#486—591no—
922#485—591no—
923#485—591no—
924#485—591no—
925#485—591no—
926#484—591no—
927#483—591no—
928#483—591no—
929#482—591no—
930#482—591no—
931#482—591no—
932#482—591no—
933#482—591no—
934#482—591no—
935#481—591no—
936#481—591no—
937#481—591no—
938#481—591no—
939#480—591no—
940#479—591no—
941#479—591no—
942#479—591no—
943#479—591no—
944#478—591no—
945#478—591no—
946#478—591no—
947#478—591no—
948#478—591no—
949#478—591no—
950#478—591no—
951#478—591no—
952#478—591no—
953#478—591no—
954#478—591no—
955#478—591no—
956#477—591no—
957#477—591no—
958#477—591no—
959#476—591no—
960#476—591no—
961#476—591no—
962#476—591no—
963#475—591no—
964#474—591no—
965#474—591no—
966#474—591no—
967#474—591no—
968#474—591no—
969#474—591no—
970#470—591no—
971#469—591no—
972#469—591no—
973#468—591no—
974#468—591no—
975#468—591no—
976#468—591no—
977#468—591no—
978#467—591no—
979#466—591no—
980#466—591no—
981#465—591no—
982#464—591no—
983#464—591no—
984#464—591no—
985#463—591no—
986#463—591no—
987#463—591no—
988#463—591no—
989#463—591no—
990#460—591no—
991#459—591no—
992#452—591no—
993#450—591no—
994#450—591no—
995#449—591no—
996#447—591no—
997#447—591no—
998#446—591no—
999C8×Q8—591no—
1000#442—591no—
1001#442—591no—
1002#441—591no—
1003#440—591no—
1004C4×SD16—591no—
1005C4×SD16—591no—
1006C4×SD16—591no—
1007C4×SD16—591no—
1008C4×SD16—591no—
1009C4×D8—591no—
1010C4×D8—591no—
1011C4×D8—591no—
1012#436—591no—
1013#436—591no—
1014#436—591no—
1015#435—591no—
1016#435—591no—
1017C8×D4—591no—
1018#433—591no—
1019#433—591no—
1020#431—591no—
1021#428—591no—
1022#428—591no—
1023#428—591no—
1024#428—591no—
1025#427—591no—
1026C2×#107—591no—
1027#424—591no—
1028#424—591no—
1029#423—591no—
1030#418—591no—
1031#418—591no—
1032#418—591no—
1033#417—591no—
1034#416—591no—
1035C2×#102—591no—
1036C59#6217511yescharacteristic, complemented, Sylow
1037C2×#41—591no—
1038C2×#41—1181no—
1039C22×D4—591no—
1040C22×D4—591no—
1041C22×D4—1181no—
1042C23×C4—1181no—
1043C2×Q16—591no—
1044C2×SD16—591no—
1045C2×SD16—591no—
1046C2×SD16—591no—
1047C2×SD16—591no—
1048C2×D8—591no—
1049C2×D8—591no—
1050C2×D8—591no—
1051C2×M16—591no—
1052C2×M16—591no—
1053C2×M16—591no—
1054C2×M16—591no—
1055C22×C8—591no—
1056C22×C8—591no—
1057C4⋊Q8—21no—
1058C4⋊Q8—21no—
1059C4⋊Q8—21no—
1060C4⋊Q8—591no—
1061C4⋊Q8C22×D5911yescharacteristic
1062C4⋊Q8C22×D5911yescharacteristic
1063C4⋊Q8C22×D5911yescharacteristic
1064C4⋊Q8C22×D5911yescharacteristic
1065#127—591no—
1066#126—21no—
1067#126—21no—
1068#126—21no—
1069#126—21no—
1070#126—21no—
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—1181no—
1076#126—1181no—
1077#126—1181no—
1078#126—1181no—
1079#126C22⋊D5911yescharacteristic
1080#126C22⋊D5911yescharacteristic
1081#125—21no—
1082#125—21no—
1083#125—21no—
1084#125—21no—
1085#125—21no—
1086#125—21no—
1087#125—591no—
1088#125—591no—
1089#125—1181no—
1090#125C22⋊D5911yescharacteristic
1091#125C22×D5911yescharacteristic
1092#125C22×D5911yescharacteristic
1093#125C22×D5911yescharacteristic
1094#125C22×D5911yescharacteristic
1095#125C22×D5911yescharacteristic
1096#124—21no—
1097#124—21no—
1098#124—21no—
1099#124—21no—
1100#124—21no—
1101#124—591no—
1102#124—591no—
1103#124—1181no—
1104#124—1181no—
1105#124C22⋊D5911yescharacteristic
1106#124C22×D5911yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—21no—
1111#123—21no—
1112#123—21no—
1113#123—21no—
1114#123—1181no—
1115#123—1181no—
1116#123—1181no—
1117#123—1181no—
1118#123—1181no—
1119#123—1181no—
1120#123—1181no—
1121#123—1181no—
1122#123—1181no—
1123#123—1181no—
1124#123—1181no—
1125#123—1181no—
1126#123C22⋊D5911yescharacteristic
1127#123C22⋊D5911yescharacteristic
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—591no—
1140C22⋊Q8—591no—
1141C22⋊Q8—1181no—
1142C22⋊Q8—1181no—
1143C22⋊Q8—1181no—
1144C22⋊Q8—1181no—
1145C22⋊Q8—1181no—
1146C22⋊Q8C22⋊D5911yescharacteristic
1147C22⋊Q8C22×D5911yescharacteristic
1148C22⋊Q8C22×D5911yescharacteristic
1149C22⋊Q8C22×D5911yescharacteristic
1150#121—21no—
1151#121—21no—
1152#121—21no—
1153#121—591no—
1154#121—591no—
1155#121—591no—
1156#121—591no—
1157#121—1181no—
1158#121—1181no—
1159#121—1181no—
1160#121—1181no—
1161#121—1181no—
1162#121—1181no—
1163#121C22⋊D5911yescharacteristic
1164#121C22×D5911yescharacteristic
1165#121C22×D5911yescharacteristic
1166#121C22×D5911yescharacteristic
1167#120—1181no—
1168#120—1181no—
1169#120—1181no—
1170#120—1181no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—21no—
1174C4×Q8—21no—
1175C4×Q8—591no—
1176C4×Q8—591no—
1177C4×Q8C22×D5911yescharacteristic
1178C4×Q8C22×D5911yescharacteristic
1179C4×Q8C22×D5911yescharacteristic
1180C4×Q8C22×D5911yescharacteristic
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—591no—
1185C4×D4—591no—
1186C4×D4—591no—
1187C4×D4—591no—
1188C4×D4—591no—
1189C4×D4—591no—
1190C4×D4—591no—
1191C4×D4—591no—
1192C4×D4—1181no—
1193C4×D4—1181no—
1194C4×D4—1181no—
1195C4×D4—1181no—
1196C4×D4—1181no—
1197C4×D4—1181no—
1198C4×D4—1181no—
1199C4×D4—1181no—
1200C4×D4—1181no—
1201C4×D4C22×D5911yescharacteristic
1202C4×D4C22×D5911yescharacteristic
1203C4×D4C22×D5911yescharacteristic
1204C4×D4C22×D5911yescharacteristic
1205C4×D4C22×D5911yescharacteristic
1206C4×D4C22×D5911yescharacteristic
1207#117—21no—
1208#117—21no—
1209#117—21no—
1210#117—21no—
1211#117—591no—
1212#117—1181no—
1213#117—1181no—
1214#117—1181no—
1215#117C22×D5911yescharacteristic
1216#117C22×D5911yescharacteristic
1217#117C22×D5911yescharacteristic
1218#117C22×D5911yescharacteristic
1219#117C22×D5911yescharacteristic
1220#117C22×D5911yescharacteristic
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—591no—
1223C2×C4⋊C4—591no—
1224C2×C4⋊C4—1181no—
1225C2×C4⋊C4—1181no—
1226C2×C4⋊C4C22×D5911yescharacteristic
1227C2×C4⋊C4C22×D5911yescharacteristic
1228C2×C22⋊C4—1181no—
1229C2×C22⋊C4—1181no—
1230C2×C22⋊C4—1181no—
1231C2×C22⋊C4—1181no—
1232C2×C22⋊C4—1181no—
1233C2×C42C22×D5911yescharacteristic
1234#107—591no—
1235#107—591no—
1236#107—591no—
1237#107—591no—
1238#107—591no—
1239#107—591no—
1240#107—591no—
1241#107—591no—
1242#107—591no—
1243#107—591no—
1244#107—591no—
1245#107—591no—
1246#106—591no—
1247#106—591no—
1248#106—591no—
1249#106—591no—
1250#106—591no—
1251#106—591no—
1252#106—591no—
1253#106—591no—
1254#106—591no—
1255#106—591no—
1256#106—591no—
1257#106—591no—
1258C4⋊C8—591no—
1259C4⋊C8—591no—
1260C4⋊C8—591no—
1261C4⋊C8—591no—
1262C4⋊C8—591no—
1263C4⋊C8—591no—
1264C4⋊C8—591no—
1265C4⋊C8—591no—
1266C4⋊C8—591no—
1267C4⋊C8—591no—
1268#103—591no—
1269#103—591no—
1270#103—591no—
1271#103—591no—
1272#103—591no—
1273#103—591no—
1274#103—591no—
1275#103—591no—
1276#103—591no—
1277#103—591no—
1278#102—591no—
1279#102—591no—
1280#102—591no—
1281#102—591no—
1282#102—591no—
1283#102—591no—
1284#102—591no—
1285#102—591no—
1286#102—591no—
1287#102—591no—
1288#102—591no—
1289#102—591no—
1290#102—591no—
1291#102—591no—
1292#102—591no—
1293#102—591no—
1294#102—591no—
1295#102—591no—
1296#102—591no—
1297#102—591no—
1298#102—591no—
1299#102—591no—
1300C22⋊C8—591no—
1301C22⋊C8—591no—
1302C22⋊C8—591no—
1303C22⋊C8—591no—
1304C22⋊C8—591no—
1305C22⋊C8—591no—
1306#97—591no—
1307#97—591no—
1308C4×C8—591no—
1309C4×C8—591no—
1310C4×C8—591no—
1311C4×C8—591no—
1312C24—1181no—
1313C24—1181no—
1314#41—1182no—
1315#41—4722no—
1316#41—2361no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—591no—
1322C2×Q8—1181no—
1323C2×Q8C2×C22⋊D5911yescharacteristic
1324C2×Q8C23×D5911yescharacteristic
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—591no—
1329C2×D4—591no—
1330C2×D4—591no—
1331C2×D4—1182no—
1332C2×D4—1182no—
1333C2×D4—1181no—
1334C2×D4—1181no—
1335C2×D4—1181no—
1336C2×D4—1181no—
1337C2×D4—1181no—
1338C2×D4—1181no—
1339C2×D4—1181no—
1340C2×D4—1181no—
1341C2×D4—1181no—
1342C2×D4—4722no—
1343C2×D4—2361no—
1344C2×D4—2361no—
1345C2×D4C2×C22⋊D5911yescharacteristic
1346C2×D4C2×C22⋊D5911yescharacteristic
1347C2×D4C2×C22⋊D5911yescharacteristic
1348C2×D4C23×D5911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—1181no—
1355C22×C4—1181no—
1356C22×C4—1181no—
1357C22×C4—1181no—
1358C22×C4—1181no—
1359C22×C4—1181no—
1360C22×C4—1181no—
1361C22×C4—1181no—
1362C22×C4—1181no—
1363C22×C4—1181no—
1364C22×C4—1181no—
1365C22×C4—4722no—
1366C22×C4C2×C22⋊D5911yescharacteristic
1367C22×C4C2×C22⋊D5911yescharacteristic
1368C22×C4C23×D5911yescharacteristic
1369C22×C4C23×D5911yescharacteristic
1370C22×C4C23×D5911yescharacteristic
1371Q16—2361no—
1372SD16—1182no—
1373SD16—2361no—
1374SD16—2361no—
1375SD16—2361no—
1376D8—1182no—
1377D8—2361no—
1378D8—2361no—
1379M16—2361no—
1380M16—2361no—
1381M16—2361no—
1382M16—2361no—
1383C2×C8—591no—
1384C2×C8—591no—
1385C2×C8—591no—
1386C2×C8—591no—
1387C2×C8—591no—
1388C2×C8—591no—
1389C2×C8—591no—
1390C2×C8—591no—
1391C2×C8—2361no—
1392C2×C8—2361no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—591no—
1416C4⋊C4—591no—
1417C4⋊C4—591no—
1418C4⋊C4—591no—
1419C4⋊C4—1181no—
1420C4⋊C4—1181no—
1421C4⋊C4—1181no—
1422C4⋊C4—1181no—
1423C4⋊C4—1181no—
1424C4⋊C4—1181no—
1425C4⋊C4—1181no—
1426C4⋊C4—1181no—
1427C4⋊C4—1181no—
1428C4⋊C4—1181no—
1429C4⋊C4—1181no—
1430C4⋊C4C2×C22⋊D5911yescharacteristic
1431C4⋊C4C2×C22⋊D5911yescharacteristic
1432C4⋊C4C2×C22⋊D5911yescharacteristic
1433C4⋊C4C2×C22⋊D5911yescharacteristic
1434C4⋊C4C2×C22⋊D5911yescharacteristic
1435C4⋊C4C2×C22⋊D5911yescharacteristic
1436C4⋊C4C2×C22⋊D5911yescharacteristic
1437C4⋊C4C2×C22⋊D5911yescharacteristic
1438C4⋊C4C2×C22⋊D5911yescharacteristic
1439C4⋊C4C2×C22⋊D5911yescharacteristic
1440C4⋊C4C23×D5911yescharacteristic
1441C4⋊C4C23×D5911yescharacteristic
1442C4⋊C4C23×D5911yescharacteristic
1443C4⋊C4C23×D5911yescharacteristic
1444C4⋊C4C23×D5911yescharacteristic
1445C4⋊C4C23×D5911yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—1181no—
1462C22⋊C4—1181no—
1463C22⋊C4—1181no—
1464C22⋊C4—1181no—
1465C22⋊C4—1181no—
1466C22⋊C4—1181no—
1467C22⋊C4—1181no—
1468C22⋊C4—1181no—
1469C22⋊C4—1181no—
1470C22⋊C4—1181no—
1471C22⋊C4—1181no—
1472C22⋊C4—1181no—
1473C22⋊C4—1181no—
1474C22⋊C4—1181no—
1475C22⋊C4—1181no—
1476C22⋊C4—1181no—
1477C22⋊C4—1181no—
1478C22⋊C4—1181no—
1479C22⋊C4—1181no—
1480C22⋊C4C2×C22⋊D5911yescharacteristic
1481C22⋊C4C2×C22⋊D5911yescharacteristic
1482C22⋊C4C2×C22⋊D5911yescharacteristic
1483C22⋊C4C2×C22⋊D5911yescharacteristic
1484C22⋊C4C2×C22⋊D5911yescharacteristic
1485C22⋊C4C2×C22⋊D5911yescharacteristic
1486C22⋊C4C2×C22⋊D5911yescharacteristic
1487C22⋊C4C2×C22⋊D5911yescharacteristic
1488C22⋊C4C2×C22⋊D5911yescharacteristic
1489C22⋊C4C2×C22⋊D5911yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—1181no—
1498C42—1181no—
1499C42—1181no—
1500C42C2×C22⋊D5911yescharacteristic
1501C42C2×C22⋊D5911yescharacteristic
1502C42C23×D5911yescharacteristic
1503C42C23×D5911yescharacteristic
1504C42C23×D5911yescharacteristic
1505C42C23×D5911yescharacteristic
1506C23—21no—
1507C23—1181no—
1508C23—1181no—
1509C23—1181no—
1510C23—4721no—
1511C23—4721no—
1512C23—4721no—
1513C23—2362no—
1514C23—2362no—
1515C23—2362no—
1516C23C22×C22⋊D5911yescharacteristic
1517C23C22×C22⋊D5911yescharacteristic
1518C23C22×C22⋊D5911yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—41no—
1522Q8—81no—
1523Q8—81no—
1524Q8—81no—
1525Q8—81no—
1526Q8—1181no—
1527Q8—1181no—
1528Q8—4721no—
1529D4—21no—
1530D4—21no—
1531D4—41no—
1532D4—41no—
1533D4—41no—
1534D4—81no—
1535D4—81no—
1536D4—81no—
1537D4—592no—
1538D4—1181no—
1539D4—1181no—
1540D4—1181no—
1541D4—1181no—
1542D4—1181no—
1543D4—4721no—
1544D4—4721no—
1545D4—4721no—
1546D4—4721no—
1547D4—4721no—
1548D4—2362no—
1549D4—2362no—
1550D4—2362no—
1551D4—2362no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—81no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—1181no—
1573C2×C4—1181no—
1574C2×C4—1181no—
1575C2×C4—1181no—
1576C2×C4—1181no—
1577C2×C4—4721no—
1578C2×C4—4721no—
1579C2×C4—4721no—
1580C2×C4—4721no—
1581C2×C4—4721no—
1582C2×C4—4721no—
1583C2×C4—4721no—
1584C2×C4—4721no—
1585C2×C4—4721no—
1586C2×C4—2362no—
1587C2×C4—2362no—
1588C2×C4C22×C22⋊D5911yescharacteristic
1589C2×C4C22×C22⋊D5911yescharacteristic
1590C2×C4C22×C22⋊D5911yescharacteristic
1591C2×C4C22×C22⋊D5911yescharacteristic
1592C2×C4C22×C22⋊D5911yescharacteristic
1593C2×C4C22×C22⋊D5911yescharacteristic
1594C2×C4C22×C22⋊D5911yescharacteristic
1595C2×C4C22×C22⋊D5911yescharacteristic
1596C2×C4C22×C22⋊D5911yescharacteristic
1597C2×C4C22×C22⋊D5911yescharacteristic
1598C2×C4C22×C22⋊D5911yescharacteristic
1599C2×C4C24×D5911yescharacteristic
1600C8—1181no—
1601C8—1181no—
1602C8—1181no—
1603C8—1181no—
1604C8—1181no—
1605C8—1181no—
1606C8—1181no—
1607C8—1181no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—1182no—
1621C22—9442no—
1622C22—4724no—
1623C22—2361no—
1624C22—2361no—
1625C22—2361no—
1626C22—2361no—
1627C22—2361no—
1628C22—2361no—
1629C22—2361no—
1630C22—2361no—
1631C22C23×C22⋊D5911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—21no—
1642C4—21no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C42−1+4×D5911yescharacteristic
1656C4#1683823911yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—41no—
1660C2—81no—
1661C2—4721no—
1662C2—4721no—
1663C2—2362no—
1664C2#2143776911yescharacteristic
1665C2#2143886711yescharacteristic
1666C2#2143887511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3565C2
socleC22×C59C23×D4
hypercenter#3565D59
hypocenterC59#62175
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #529 ◁ #3565

Complements

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

NH ≅ G/Ntype
1. #21438040C2semidirect
2. #21437050C2semidirect
3. #21436967C2semidirect
4. #21436864C2semidirect
5. #21436756C2semidirect
6. #21436685C2semidirect
7. #21436656C2semidirect
8. #21436650C2semidirect
9. #21436620C2semidirect
10. #21436536C2semidirect
11. #21436492C2semidirect
12. #21436321C2semidirect
13. #21436306C2semidirect
14. #21436291C2semidirect
15. #21436246C2semidirect
16. #21436231C2semidirect
17. #21435925C2semidirect
18. #21435552C2semidirect
19. #21435507C2semidirect
20. #21435492C2semidirect
21. #21435394C2semidirect
22. #21435349C2semidirect
23. #21435275C2semidirect
24. #21434367C2semidirect
25. #21434274C2semidirect
26. #21434139C2semidirect
27. #21433943C2semidirect
28. #21433921C2semidirect
29. #21433889C2semidirect
30. #21433245C2semidirect
31. C59×#3565C2semidirect
54. #16837812C22semidirect
55. #16837808C22semidirect
56. #16837801C22semidirect
57. #16837801C22semidirect
58. #16837801C22semidirect
59. #16837798C22semidirect
61. #16837764C22semidirect
62. #16837759C22semidirect
63. #16837759C22semidirect
64. #16837759C22semidirect
66. #16837743C22semidirect
67. #16837743C22semidirect
68. #16837743C22semidirect
69. #16837740C22semidirect
70. #16837735C22semidirect
71. #16837732C22semidirect
72. #16837730C22semidirect
76. #16837726C22semidirect
77. #16837726C22semidirect
78. #16837723C22semidirect
80. #16837720C22semidirect
81. #16837718C22semidirect
82. #16837718C22semidirect
83. #16837715C22semidirect
84. #16837709C22semidirect
85. #16837709C22semidirect
86. #16837706C22semidirect
87. #16837706C22semidirect
88. #16837702C22semidirect
89. #16837702C22semidirect
95. #16837699C22semidirect
96. #16837699C22semidirect
97. #16837699C22semidirect
98. #16837699C22semidirect
99. #16837699C22semidirect
100. #16837697C22semidirect
101. #16837694C22semidirect
102. #16837694C22semidirect
104. #16837689C22semidirect
105. #16837689C22semidirect
106. #16837689C22semidirect
107. #16837684C22semidirect
108. #16837682C22semidirect
112. #16837679C22semidirect
113. #16837679C22semidirect
114. #16837658C22semidirect
116. #16837653C22semidirect
119. #16837650C22semidirect
120. #16837646C22semidirect
121. #16837646C22semidirect
122. #16837641C22semidirect
124. #16837636C22semidirect
125. #16837633C22semidirect
126. #16837624C22semidirect
127. #16837624C22semidirect
128. #16837621C22semidirect
129. #16837617C22semidirect
130. #16837617C22semidirect
132. #16837614C22semidirect
133. #16837614C22semidirect
142. #16837533C22semidirect
143. Q8×C59⋊C8C22semidirect
146. #16837507C22semidirect
147. #16837500C22semidirect
151. C4×#11745671C22semidirect
152. C4×#11745670C22semidirect
154. C4×#11745669C22semidirect
155. C4×#11745669C22semidirect
157. #16837480C22semidirect
158. #16837480C22semidirect
160. #16837474C22semidirect
161. D4×C59⋊C8C22semidirect
162. #16837463C22semidirect
163. #16837463C22semidirect
164. #16837455C22semidirect
165. #16837445C22semidirect
166. #16837445C22semidirect
167. #16837445C22semidirect
168. #16837442C22semidirect
169. #16837438C22semidirect
170. C2×#14273660C22semidirect
171. #16837429C22semidirect
172. #16837429C22semidirect
173. #16837426C22semidirect
182. C59×#557C22semidirect
185. C59×#555C22semidirect
186. C59×#554C22semidirect
188. C59×#553C22semidirect
190. C59×#552C22semidirect
191. C59×#552C22semidirect
192. C59×#544C22semidirect
193. C59×#544C22semidirect
196. C59×#542C22semidirect
197. C59×#542C22semidirect
200. C59×#533C22semidirect
202. C59×#529C22semidirect
824. #3565D59semidirect
868. #557C2×D59semidirect
871. #555C2×D59semidirect
873. #554C2×D59semidirect
877. #553C2×D59semidirect
880. #552C2×D59semidirect
881. #552C2×D59semidirect
889. #544C2×D59semidirect
890. #544C2×D59semidirect
894. #542C2×D59semidirect
895. #542C2×D59semidirect
901. #533C2×D59semidirect
904. #529C2×D59semidirect
1036. C59#62175semidirect

Maximal subgroups

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

subgroupindex
#214380402
#214370502
#214369672
#214368642
#214367562
#214366852
#214366562
#214366502
#214366202
#214365362
#214364922
#214363212
#214363062
#214362912
#214362462
#214362312
#214359252
#214355522
#214355072
#214354922
#214353942
#214353492
#214352752
#214343672
#214342742
#214341392
#214339432
#214339212
#214338892
#214332452
C59×#35652
#6217559