Finite Group Databasebeta

← #29481267

Subgroups — #29481267

Order 15104.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438057C211yesmaximal, characteristic, complemented
2#21437171C211yesmaximal, characteristic, complemented
3#21437162C211yesmaximal, characteristic, complemented
4#21436938C211yesmaximal, characteristic, complemented
5#21436864C211yesmaximal, characteristic, complemented
6#21436358C211yesmaximal, characteristic, complemented
7#21436306C211yesmaximal, characteristic, complemented
8#21436141C211yesmaximal, characteristic, complemented
9#21436111C211yesmaximal, characteristic, complemented
10#21436081C211yesmaximal, characteristic, complemented
11#21436051C211yesmaximal, characteristic, complemented
12#21435749C211yesmaximal, characteristic, complemented
13#21435728C211yesmaximal, characteristic, complemented
14#21435667C211yesmaximal, characteristic, complemented
15#21435662C211yesmaximal, characteristic, complemented
16#21435607C211yesmaximal, characteristic, complemented
17#21435592C211yesmaximal, characteristic, complemented
18#21435492C211yesmaximal, characteristic, complemented
19#21435463C211yesmaximal, characteristic, complemented
20#21435443C211yesmaximal, characteristic, complemented
21#21435129C211yesmaximal, characteristic, complemented
22#21435095C211yesmaximal, characteristic, complemented
23#21435057C211yesmaximal, characteristic, complemented
24#21434267C211yesmaximal, characteristic, complemented
25#21434205C211yesmaximal, characteristic, complemented
26#21434176C211yesmaximal, characteristic, complemented
27#21433590C211yesmaximal, characteristic, complemented
28#21433568C211yesmaximal, characteristic, complemented
29C2×#16837624C211yesmaximal, characteristic, complemented
30#21433213C211yesmaximal, characteristic, complemented
31C59×#3482C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic, complemented
33C2×#14273758C2211yescharacteristic, complemented
34C2×#14273757C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic
36C22×#11745672C2211yescharacteristic, complemented
37C22×#11745671C2211yescharacteristic
38#16838137C2211yescharacteristic
39#16838125C2211yescharacteristic
40#16838115—21no—
41#16838076—21no—
42#16838076—21no—
43D4×Dic118C2211yescharacteristic
44#16838061C2211yescharacteristic
45#16838061C2211yescharacteristic
46#16838048C2211yescharacteristic
47#16838048C2211yescharacteristic
48#16838040—21no—
49D4×D236C2211yescharacteristic
50#16838024—21no—
51#16837985—21no—
52#16837985—21no—
53#16837952C2211yescharacteristic
54#16837936C2211yescharacteristic
55#16837936C2211yescharacteristic
56#16837936C2211yescharacteristic
57C2×#14273715C2211yescharacteristic
58C2×#14273715C2211yescharacteristic
59#16837874—21no—
60#16837797C2211yescharacteristic, complemented
61#16837794C2211yescharacteristic
62#16837794C2211yescharacteristic, complemented
63#16837792C2211yescharacteristic
64#16837784C2211yescharacteristic
65#16837784C2211yescharacteristic, complemented
66#16837772C2211yescharacteristic, complemented
67#16837768C2211yescharacteristic
68#16837764C2211yescharacteristic
69#16837764C2211yescharacteristic, complemented
70#16837759C2211yescharacteristic
71#16837759C2211yescharacteristic, complemented
72#16837743C2211yescharacteristic, complemented
73#16837737C2211yescharacteristic, complemented
74#16837732C2211yescharacteristic, complemented
75#16837726C2211yescharacteristic
76#16837720C2211yescharacteristic
77#16837715C2211yescharacteristic
78#16837709C2211yescharacteristic, complemented
79#16837709C2211yescharacteristic, complemented
80#16837709C2211yescharacteristic, complemented
81#16837706C2211yescharacteristic, complemented
82#16837706C2211yescharacteristic, complemented
83#16837702C2211yescharacteristic, complemented
84#16837699C2211yescharacteristic
85#16837699C2211yescharacteristic, complemented
86#16837694C2211yescharacteristic, complemented
87#16837689C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic, complemented
89#16837658C2211yescharacteristic, complemented
90#16837658C2211yescharacteristic, complemented
91#16837653C2211yescharacteristic
92#16837650C2211yescharacteristic
93#16837650C2211yescharacteristic
94#16837650C2211yescharacteristic
95#16837646C2211yescharacteristic, complemented
96#16837641C2211yescharacteristic, complemented
97#16837636C2211yescharacteristic
98#16837633C2211yescharacteristic
99#16837629C2211yescharacteristic, complemented
100#16837624C2211yescharacteristic
101#16837624C2211yescharacteristic
102#16837624C2211yescharacteristic
103#16837624C2211yescharacteristic
104#16837624C2211yescharacteristic
105#16837624C2211yescharacteristic
106#16837624C2211yescharacteristic, complemented
107#16837624C2211yescharacteristic, complemented
108#16837624C2211yescharacteristic, complemented
109#16837624C2211yescharacteristic, complemented
110#16837624C2211yescharacteristic, complemented
111#16837624C2211yescharacteristic, complemented
112#16837624C2211yescharacteristic, complemented
113#16837624C2211yescharacteristic, complemented
114#16837624C2211yescharacteristic, complemented
115#16837621C2211yescharacteristic, complemented
116#16837621C2211yescharacteristic, complemented
117#16837617C2211yescharacteristic
118#16837617C2211yescharacteristic
119#16837617C2211yescharacteristic, complemented
120#16837617C2211yescharacteristic, complemented
121#16837617C2211yescharacteristic, complemented
122#16837614C2211yescharacteristic
123#16837614C2211yescharacteristic, complemented
124#16837612C2211yescharacteristic, complemented
125#16837612C2211yescharacteristic, complemented
126#16837609C2211yescharacteristic, complemented
127#16837604C2211yescharacteristic, complemented
128#16837602C2211yescharacteristic
129#16837602C2211yescharacteristic
130#16837564C2211yescharacteristic, complemented
131#16837562C2211yescharacteristic, complemented
132#16837562C2211yescharacteristic, complemented
133#16837558C2211yescharacteristic, complemented
134#16837558C2211yescharacteristic, complemented
135#16837557C2211yescharacteristic, complemented
136#16837557C2211yescharacteristic, complemented
137#16837557C2211yescharacteristic, complemented
138#16837552C2211yescharacteristic
139#16837552C2211yescharacteristic
140#16837552C2211yescharacteristic
141#16837547C2211yescharacteristic
142#16837545C2211yescharacteristic, complemented
143#16837545C2211yescharacteristic, complemented
144#16837541C2211yescharacteristic
145#16837541C2211yescharacteristic
146#16837540C2211yescharacteristic, complemented
147#16837535C2211yescharacteristic
148#16837533C2211yescharacteristic, complemented
149#16837533C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic, complemented
151#16837507C2211yescharacteristic, complemented
152#16837507C2211yescharacteristic, complemented
153#16837507C2211yescharacteristic, complemented
154#16837502C2211yescharacteristic, complemented
155#16837500C2211yescharacteristic
156#16837500C2211yescharacteristic
157#16837500C2211yescharacteristic, complemented
158C4×#11745672C2211yescharacteristic, complemented
159C4×#11745672C2211yescharacteristic, complemented
160C4×#11745671C2211yescharacteristic, complemented
161C4×#11745671C2211yescharacteristic, complemented
162#16837480C2211yescharacteristic, complemented
163#16837480C2211yescharacteristic, complemented
164#16837474C2211yescharacteristic
165#16837474C2211yescharacteristic
166#16837474C2211yescharacteristic, complemented
167#16837474C2211yescharacteristic, complemented
168#16837459C2211yescharacteristic, complemented
169#16837459C2211yescharacteristic, complemented
170#16837455C2211yescharacteristic, complemented
171#16837426C2211yescharacteristic, complemented
172#16837426C2211yescharacteristic, complemented
173C2×C4⋊(C59⋊C8)C2211yescharacteristic, complemented
174#16837410C2211yescharacteristic, complemented
175#16837406C2211yescharacteristic
176#16837401C2211yescharacteristic, complemented
177#16837401C2211yescharacteristic, complemented
178C2×#14273650C2211yescharacteristic, complemented
179C2×#14273647C2211yescharacteristic
180C59×#557C2211yescharacteristic, complemented
181C59×#556—21no—
182C59×#556C2211yescharacteristic, complemented
183C59×#552—21no—
184C59×#552—21no—
185C59×#552C2211yescharacteristic
186C59×#552C2211yescharacteristic, complemented
187D4×Q8×C59C2211yescharacteristic, complemented
188C59×#548C2211yescharacteristic
189C59×#548C2211yescharacteristic, complemented
190C59×#547—21no—
191C59×#547C2211yescharacteristic, complemented
192C59×#533—21no—
193C59×#533C2211yescharacteristic, complemented
194C59×#529—21no—
195C59×#529—21no—
196C59×#529C2211yescharacteristic, complemented
197C59×#529C2211yescharacteristic, complemented
198C4×#41×C59—21no—
199C4×#41×C59C2211yescharacteristic
200C4×#41×C59C2211yescharacteristic, complemented
201C2×C4×Q8×C59C2211yescharacteristic, complemented
202C2×C4×Q8×C59C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C22×Dic118C2311yescharacteristic
206C22×Dic118C2311yescharacteristic
207C22×D236C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C2×D4×D59—21no—
210#14273758—42no—
211#14273758—42no—
212#14273757—42no—
213#14273752—42no—
214C2×#11745672—42no—
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745672C2311yescharacteristic
222C2×#11745672C2311yescharacteristic
223C2×#11745672C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745671—42no—
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745664C2311yescharacteristic
242C2×#11745664C2311yescharacteristic
243C2×#11745664C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245C22×C59⋊C8C2311yescharacteristic
246#14273727C2311yescharacteristic
247#14273726—21no—
248#14273724C2311yescharacteristic
249#14273722—21no—
250#14273722—21no—
251#14273721—21no—
252#14273721—21no—
253#14273721—21no—
254#14273719C2311yescharacteristic
255#14273716—21no—
256#14273715—21no—
257#14273715—21no—
258#14273715—21no—
259#14273715—21no—
260#14273715C2311yescharacteristic
261#14273715C2311yescharacteristic
262#14273715C2311yescharacteristic
263#14273715C2311yescharacteristic
264#14273715C2311yescharacteristic
265#14273715C2311yescharacteristic
266#14273715C2311yescharacteristic
267#14273713—21no—
268#14273713—21no—
269#14273712—21no—
270#14273712—21no—
271#14273712—21no—
272#14273712—21no—
273#14273710—21no—
274#14273710—21no—
275#14273710—21no—
276#14273706C2311yescharacteristic
277#14273706C2311yescharacteristic
278#14273706C2311yescharacteristic
279#14273705—21no—
280#14273705—21no—
281#14273704—21no—
282#14273704—21no—
283#14273703—21no—
284#14273702—21no—
285#14273701—21no—
286#14273701—21no—
287#14273701C2311yescharacteristic
288#14273701C2311yescharacteristic
289#14273701C2311yescharacteristic
290#14273700—21no—
291#14273700—21no—
292#14273699—21no—
293#14273699—21no—
294#14273697—21no—
295#14273697—21no—
296#14273695—21no—
297#14273695—21no—
298C4×Dic118C2311yescharacteristic
299C4×Dic118C2311yescharacteristic
300C4×Dic118C2311yescharacteristic
301C4×D236—21no—
302C4×D236—21no—
303C4×D236C2311yescharacteristic
304C4×D236C2311yescharacteristic
305C4×D236C2311yescharacteristic
306D4×Dic59—21no—
307#14273689—21no—
308C4×C22⋊D59—21no—
309C4×C22⋊D59—21no—
310C4×C22⋊D59—21no—
311(C22⋊D59)⋊C4—21no—
312(C22⋊D59)⋊C4—21no—
313#14273685—21no—
314#14273684—21no—
315#14273684—21no—
316#14273684—21no—
317C2×(C2×D59)⋊C4—21no—
318C2×(C2×D59)⋊C4—21no—
319C2×(C2×D59)⋊C4—21no—
320C2×(C2×D59)⋊C4—21no—
321C22⋊C4×D59—21no—
322C22⋊C4×D59—21no—
323#14273660C2311yescharacteristic
324#14273660C2311yescharacteristic
325#14273660C2311yescharacteristic
326#14273660C2311yescharacteristic
327#14273658C2311yescharacteristic
328#14273658C2311yescharacteristic
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#14273650C2311yescharacteristic
356#14273650C2311yescharacteristic
357#14273650C2311yescharacteristic
358#14273650C2311yescharacteristic
359#14273648C2311yescharacteristic
360#14273648C2311yescharacteristic
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×C59—21no—
386C2×#41×C59D411yescharacteristic
387C2×#41×C59C2311yescharacteristic
388C22×Q8×C59C2311yescharacteristic
389C22×Q8×C59C2311yescharacteristic
390C4⋊Q8×C59—21no—
391C4⋊Q8×C59—21no—
392C4⋊Q8×C59C2311yescharacteristic
393C4⋊Q8×C59C2311yescharacteristic
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#125×C59—21no—
401#125×C59—21no—
402#125×C59—21no—
403#125×C59—21no—
404#125×C59—21no—
405#125×C59C2311yescharacteristic
406#125×C59C2311yescharacteristic
407#124×C59—21no—
408#124×C59—21no—
409#124×C59C2311yescharacteristic
410#124×C59C2311yescharacteristic
411#123×C59—21no—
412#123×C59—21no—
413#123×C59—21no—
414#123×C59—21no—
415#123×C59—21no—
416#123×C59—21no—
417C22⋊Q8×C59—21no—
418C22⋊Q8×C59—21no—
419C22⋊Q8×C59—21no—
420C22⋊Q8×C59—21no—
421C22⋊Q8×C59—21no—
422C22⋊Q8×C59—21no—
423C22⋊Q8×C59—21no—
424C22⋊Q8×C59C2311yescharacteristic
425C22⋊Q8×C59C2311yescharacteristic
426C22⋊Q8×C59C2311yescharacteristic
427C22⋊Q8×C59C2311yescharacteristic
428#121×C59—21no—
429#121×C59—21no—
430#121×C59C2311yescharacteristic
431#121×C59C2311yescharacteristic
432C4×Q8×C59—21no—
433C4×Q8×C59—21no—
434C4×Q8×C59—21no—
435C4×Q8×C59—21no—
436C4×Q8×C59—21no—
437C4×Q8×C59—21no—
438C4×Q8×C59D411yescharacteristic
439C4×Q8×C59C2311yescharacteristic
440C4×Q8×C59C2311yescharacteristic
441C4×Q8×C59C2311yescharacteristic
442C4×Q8×C59C2311yescharacteristic
443C4×Q8×C59C2311yescharacteristic
444C4×Q8×C59C2311yescharacteristic
445C4×Q8×C59C2311yescharacteristic
446C4×Q8×C59C2311yescharacteristic
447C4×Q8×C59C2311yescharacteristic
448C4×D4×C59—21no—
449C4×D4×C59—21no—
450C4×D4×C59—21no—
451C4×D4×C59—21no—
452C4×D4×C59—21no—
453C4×D4×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59D411yescharacteristic
456C4×D4×C59D411yescharacteristic
457C4×D4×C59D411yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463#117×C59—21no—
464#117×C59—21no—
465#117×C59—21no—
466#117×C59—21no—
467#117×C59—21no—
468#117×C59—21no—
469#117×C59—21no—
470#117×C59D411yescharacteristic
471#117×C59D411yescharacteristic
472#117×C59D411yescharacteristic
473#117×C59C2311yescharacteristic
474C2×C4⋊C4×C59—21no—
475C2×C4⋊C4×C59—21no—
476C2×C4⋊C4×C59C2311yescharacteristic
477C2×C4⋊C4×C59C2311yescharacteristic
478C2×C42×C59—21no—
479C2×C42×C59—21no—
480C2×C42×C59—21no—
481C2×C42×C59C2311yescharacteristic
482C2×C42×C59C2311yescharacteristic
483C2×C42×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486#41×C59—22no—
487#41×C59—42no—
488#41×C59—41no—
489#41×C59—44no—
490C2×Q8×C59—21no—
491C2×Q8×C59—21no—
492C2×Q8×C59—21no—
493C2×Q8×C59—22no—
494C2×Q8×C59—22no—
495C2×Q8×C59—41no—
496C2×Q8×C59—41no—
497C2×Q8×C59C2×D411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
499C2×Q8×C59C2411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59C2×D411yescharacteristic
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59C2×D411yescharacteristic
516C22×C4×C59C2×D411yescharacteristic
517C22×C4×C59C2×D411yescharacteristic
518C22×C4×C59C2×D411yescharacteristic
519C22×C4×C59C2×D411yescharacteristic
520C22×C4×C59C2×D411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C22×C4×C59C2411yescharacteristic
523C22×C4×C59C2411yescharacteristic
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C22×Dic59—21no—
530C22×Dic59—21no—
531D4×D59—44no—
532#11745685—41no—
533#11745685—41no—
534#11745685—41no—
535#11745685—41no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—41no—
541C2×D236—41no—
542C2×D236—41no—
543C2×D236—41no—
544C2×D236C2411yescharacteristic
545C2×D236C2411yescharacteristic
546C2×D236C2411yescharacteristic
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×Dic118—21no—
553C2×Dic118—21no—
554C2×Dic118—41no—
555C2×Dic118—41no—
556C2×Dic118—41no—
557C2×Dic118—41no—
558C2×Dic118C2411yescharacteristic
559C2×Dic118C2411yescharacteristic
560C2×Dic118C2411yescharacteristic
561C4⋊C4×C59—21no—
562C4⋊C4×C59—21no—
563C4⋊C4×C59—21no—
564C4⋊C4×C59—21no—
565C4⋊C4×C59—21no—
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×C59C2×D411yescharacteristic
583C4⋊C4×C59C2×D411yescharacteristic
584C4⋊C4×C59C2×D411yescharacteristic
585C4⋊C4×C59C2×D411yescharacteristic
586C4⋊C4×C59C2×D411yescharacteristic
587C4⋊C4×C59C2×D411yescharacteristic
588C4⋊C4×C59C2411yescharacteristic
589C4⋊C4×C59C2411yescharacteristic
590C4⋊C4×C59C2411yescharacteristic
591C4⋊C4×C59C2411yescharacteristic
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59C2×D411yescharacteristic
606C22⋊C4×C59C2×D411yescharacteristic
607C22⋊C4×C59C2×D411yescharacteristic
608C22⋊C4×C59C2×D411yescharacteristic
609C22⋊C4×C59C2×D411yescharacteristic
610C22⋊C4×C59C2×D411yescharacteristic
611C42×C59—21no—
612C42×C59—21no—
613C42×C59—21no—
614C42×C59—21no—
615C42×C59—21no—
616C42×C59—21no—
617C42×C59—21no—
618C42×C59—21no—
619C42×C59—21no—
620C42×C59C2×D411yescharacteristic
621C42×C59C2×D411yescharacteristic
622C42×C59C2×D411yescharacteristic
623C42×C59C2×D411yescharacteristic
624C42×C59C2×D411yescharacteristic
625C42×C59C2×D411yescharacteristic
626C42×C59C2411yescharacteristic
627C42×C59C2411yescharacteristic
628C42×C59C2411yescharacteristic
629C42×C59C2411yescharacteristic
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633#11745672—22no—
634#11745672—22no—
635#11745672—22no—
636#11745672—41no—
637#11745672—41no—
638#11745672—41no—
639#11745672—41no—
640#11745672—41no—
641#11745672—41no—
642#11745671—22no—
643#11745671—22no—
644#11745671—22no—
645#11745671—41no—
646#11745671—41no—
647#11745671—41no—
648#11745671—41no—
649#11745671—41no—
650#11745671—41no—
651#11745670—41no—
652#11745670—41no—
653#11745670—41no—
654#11745669—41no—
655#11745669—41no—
656#11745669—41no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
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—
677C4⋊Dic59—21no—
678C4⋊Dic59—21no—
679C4⋊Dic59C2411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689C4×Dic59—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—42no—
714C22×D59—42no—
715C22×D59—81no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59—81no—
719Q8×C59—21no—
720Q8×C59—21no—
721Q8×C59—21no—
722Q8×C59—21no—
723Q8×C59—21no—
724Q8×C59—41no—
725Q8×C59—42no—
726Q8×C59—42no—
727Q8×C59—42no—
728Q8×C59H(5,𝔽2)12yes—
729D4×C59—22no—
730D4×C59—22no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—41no—
734D4×C59—42no—
735D4×C59—42no—
736D4×C59—42no—
737C2×C4×C59—22no—
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—41no—
754C2×C4×C59—41no—
755C2×C4×C59—41no—
756C2×C4×C59—42no—
757C2×C4×C59—42no—
758C2×C4×C59—42no—
759C2×C4×C59—42no—
760C2×C4×C59—42no—
761C2×C4×C59—42no—
762C2×C4×C59—42no—
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×C59C22×D411yescharacteristic
772C2×C4×C59C22×D411yescharacteristic
773C2×C4×C59C22×D411yescharacteristic
774C2×C4×C59C2511yescharacteristic
775C22⋊D59—42no—
776C22⋊D59—42no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—81no—
786C2×Dic59—81no—
787D236—21no—
788D236—21no—
789D236—21no—
790D236—21no—
791D236—21no—
792D236—21no—
793D236—42no—
794D236—81no—
795D236—81no—
796D236—81no—
797C4×D59—42no—
798C4×D59—81no—
799C4×D59—81no—
800C4×D59—81no—
801C4×D59—81no—
802Dic118—21no—
803Dic118—21no—
804Dic118—21no—
805Dic118—21no—
806Dic118—21no—
807Dic118—21no—
808Dic118—81no—
809Dic118—81no—
810C59⋊C8—21no—
811C59⋊C8—21no—
812C59⋊C8—21no—
813C59⋊C8—21no—
814C59⋊C8—21no—
815C59⋊C8—21no—
816C59⋊C8—21no—
817C59⋊C8—21no—
818#61972—591nomaximal, Sylow
819C22×C59—21no—
820C22×C59—21no—
821C22×C59—21no—
822C22×C59—21no—
823C22×C59—21no—
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59#57512yes—
831C22×C59C23×D411yescharacteristic
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—162no—
842C2×D59—162no—
843C4×C59—21no—
844C4×C59—21no—
845C4×C59—21no—
846C4×C59—21no—
847C4×C59—21no—
848C4×C59—21no—
849C4×C59—21no—
850C4×C59—22no—
851C4×C59—21no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—41no—
856C4×C59—41no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59C2×H(5,𝔽2)11yescharacteristic
862C4×C59#58511yescharacteristic
863Dic59—41no—
864Dic59—41no—
865Dic59—41no—
866Dic59—41no—
867Dic59—41no—
868#3514—591no—
869#3482D5911yescharacteristic, complemented
870#3402—591no—
871#3401—591no—
872#3377—591no—
873#3371—591no—
874#3327—591no—
875#3323—591no—
876#3312—591no—
877#3310—591no—
878#3308—591no—
879#3306—591no—
880#3277—591no—
881#3275—591no—
882#3270—591no—
883#3270—591no—
884#3266—591no—
885#3265—591no—
886#3256—591no—
887#3252—591no—
888#3250—591no—
889#3219—591no—
890#3215—591no—
891#3211—591no—
892#3117—591no—
893#3111—591no—
894#3108—591no—
895#3040—591no—
896#3037—591no—
897C2×#464—591no—
898#2989—591no—
899C2×C59—22no—
900C2×C59—41no—
901C2×C59—41no—
902C2×C59—81no—
903C2×C59#348811yescharacteristic
904C2×C59C2×#57511yescharacteristic
905C2×C59#358611yescharacteristic
906D59—81no—
907D59—81no—
908D59—81no—
909C2×#137—591no—
910C2×#137—591no—
911C2×#137—591no—
912C2×AGL(1,ℤ/8)—591no—
913C22×Q16—591no—
914C22×SD16—591no—
915#559—591no—
916#557C2×D5911yescharacteristic, complemented
917#556—21no—
918#556—591no—
919#556C2×D5911yescharacteristic, complemented
920#555—1181no—
921#552—21no—
922#552—21no—
923#552C2×D5911yescharacteristic
924#552C2×D5911yescharacteristic, complemented
925#551—1181no—
926#551—1181no—
927D4×Q8—591no—
928D4×Q8C2×D5911yescharacteristic, complemented
929#548—591no—
930#548—591no—
931#548C2×D5911yescharacteristic
932#548C2×D5911yescharacteristic, complemented
933#547—21no—
934#547C2×D5911yescharacteristic, complemented
935#546—591no—
936#546—591no—
937#546—1181no—
938D42—591no—
939#542—1181no—
940#538—1181no—
941#538—1181no—
942#533—21no—
943#533C2×D5911yescharacteristic, complemented
944#532—591no—
945#529—21no—
946#529—21no—
947#529—591no—
948#529—591no—
949#529—591no—
950#529C2×D5911yescharacteristic, complemented
951#529C2×D5911yescharacteristic, complemented
952C2×#124—591no—
953C2×#124—591no—
954#518—1181no—
955C4×#41—21no—
956C4×#41C2×D5911yescharacteristic
957C4×#41C2×D5911yescharacteristic, complemented
958C2×C4×Q8C2×D5911yescharacteristic, complemented
959C2×C4×Q8C2×D5911yescharacteristic, complemented
960#497—591no—
961#497—591no—
962#497—591no—
963#496—591no—
964#495—591no—
965#495—591no—
966#491—591no—
967#490—591no—
968#489—591no—
969#489—591no—
970#488—591no—
971#488—591no—
972#485—591no—
973#484—591no—
974#483—591no—
975#482—591no—
976#481—591no—
977#480—591no—
978#479—591no—
979#479—591no—
980#479—591no—
981#479—591no—
982#479—591no—
983#478—591no—
984#478—591no—
985#478—591no—
986#477—591no—
987#476—591no—
988#470—591no—
989#470—591no—
990#470—591no—
991#469—591no—
992#468—591no—
993#468—591no—
994#468—591no—
995#468—591no—
996#467—591no—
997#466—591no—
998#465—591no—
999#465—591no—
1000#464—591no—
1001#464—591no—
1002#464—591no—
1003#464—591no—
1004#464—591no—
1005#464—591no—
1006#464—591no—
1007#464—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#463—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#452—591no—
1031#452—591no—
1032#452—591no—
1033#451—591no—
1034#451—591no—
1035#451—591no—
1036#451—591no—
1037#451—591no—
1038#450—591no—
1039#450—591no—
1040#450—591no—
1041#449—591no—
1042#449—591no—
1043#449—591no—
1044#448—591no—
1045#448—591no—
1046#448—591no—
1047#447—591no—
1048#446—591no—
1049#446—591no—
1050#442—591no—
1051#441—591no—
1052#441—591no—
1053#441—591no—
1054#440—591no—
1055#440—591no—
1056#440—591no—
1057#440—591no—
1058C4×Q16—591no—
1059C4×Q16—591no—
1060C4×SD16—591no—
1061C4×SD16—591no—
1062#436—591no—
1063#436—591no—
1064#435—591no—
1065#435—591no—
1066#435—591no—
1067#435—591no—
1068#432—591no—
1069#432—591no—
1070#431—591no—
1071#423—591no—
1072#423—591no—
1073C2×C4⋊C8—591no—
1074#419—591no—
1075#418—591no—
1076#417—591no—
1077#417—591no—
1078C2×#103—591no—
1079C2×#102—591no—
1080C59#6197211yescharacteristic, complemented, Sylow
1081C2×#41—21no—
1082C2×#41—591no—
1083C2×#41—591no—
1084C2×#41C22⋊D5911yescharacteristic
1085C2×#41C22×D5911yescharacteristic
1086C22×Q8—591no—
1087C22×Q8—591no—
1088C22×Q8C22×D5911yescharacteristic
1089C22×Q8C22×D5911yescharacteristic
1090C22×D4—591no—
1091C22×D4—591no—
1092C22×D4—1181no—
1093#137—2362no—
1094#137—2362no—
1095#137—2362no—
1096AGL(1,ℤ/8)—2362no—
1097C2×Q16—591no—
1098C2×Q16—591no—
1099C2×Q16—591no—
1100C2×Q16—591no—
1101C2×Q16—591no—
1102C2×Q16—591no—
1103C2×Q16—591no—
1104C2×Q16—591no—
1105C2×Q16—591no—
1106C2×Q16—2362no—
1107C2×SD16—591no—
1108C2×SD16—591no—
1109C2×SD16—591no—
1110C2×SD16—591no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—2362no—
1120C2×D8—591no—
1121C2×D8—591no—
1122C2×D8—591no—
1123C2×M16—591no—
1124C2×M16—591no—
1125C2×M16—591no—
1126C2×M16—591no—
1127C22×C8—591no—
1128C22×C8—591no—
1129C4⋊Q8—21no—
1130C4⋊Q8—21no—
1131C4⋊Q8—591no—
1132C4⋊Q8—1181no—
1133C4⋊Q8C22×D5911yescharacteristic
1134C4⋊Q8C22×D5911yescharacteristic
1135#127—591no—
1136#126—21no—
1137#126—21no—
1138#126—21no—
1139#126—21no—
1140#126—21no—
1141#126—21no—
1142#126—1181no—
1143#126—1181no—
1144#126—1181no—
1145#126—1181no—
1146#126—1181no—
1147#125—21no—
1148#125—21no—
1149#125—21no—
1150#125—21no—
1151#125—21no—
1152#125—591no—
1153#125C22×D5911yescharacteristic
1154#125C22×D5911yescharacteristic
1155#124—21no—
1156#124—21no—
1157#124—591no—
1158#124—591no—
1159#124—591no—
1160#124—591no—
1161#124—591no—
1162#124—591no—
1163#124—591no—
1164#124—1181no—
1165#124—1181no—
1166#124—1181no—
1167#124—1181no—
1168#124—1181no—
1169#124—1181no—
1170#124—1181no—
1171#124C22×D5911yescharacteristic
1172#124C22×D5911yescharacteristic
1173#123—21no—
1174#123—21no—
1175#123—21no—
1176#123—21no—
1177#123—21no—
1178#123—21no—
1179#123—1181no—
1180#123—1181no—
1181#123—1181no—
1182#123—1181no—
1183#123—1181no—
1184#123—1181no—
1185#123—1181no—
1186C22⋊Q8—21no—
1187C22⋊Q8—21no—
1188C22⋊Q8—21no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—591no—
1194C22⋊Q8—591no—
1195C22⋊Q8—591no—
1196C22⋊Q8—1181no—
1197C22⋊Q8—1181no—
1198C22⋊Q8—1181no—
1199C22⋊Q8—1181no—
1200C22⋊Q8—1181no—
1201C22⋊Q8C22×D5911yescharacteristic
1202C22⋊Q8C22×D5911yescharacteristic
1203C22⋊Q8C22×D5911yescharacteristic
1204C22⋊Q8C22×D5911yescharacteristic
1205#121—21no—
1206#121—21no—
1207#121—591no—
1208#121—591no—
1209#121—591no—
1210#121—1181no—
1211#121—1181no—
1212#121—1181no—
1213#121—1181no—
1214#121—1181no—
1215#121—1181no—
1216#121—1181no—
1217#121C22×D5911yescharacteristic
1218#121C22×D5911yescharacteristic
1219#120—1181no—
1220#120—1181no—
1221#120—1181no—
1222#120—1181no—
1223C4×Q8—21no—
1224C4×Q8—21no—
1225C4×Q8—21no—
1226C4×Q8—21no—
1227C4×Q8—21no—
1228C4×Q8—21no—
1229C4×Q8—591no—
1230C4×Q8—591no—
1231C4×Q8—591no—
1232C4×Q8C22⋊D5911yescharacteristic
1233C4×Q8C22×D5911yescharacteristic
1234C4×Q8C22×D5911yescharacteristic
1235C4×Q8C22×D5911yescharacteristic
1236C4×Q8C22×D5911yescharacteristic
1237C4×Q8C22×D5911yescharacteristic
1238C4×Q8C22×D5911yescharacteristic
1239C4×Q8C22×D5911yescharacteristic
1240C4×Q8C22×D5911yescharacteristic
1241C4×Q8C22×D5911yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4—591no—
1250C4×D4—591no—
1251C4×D4—591no—
1252C4×D4—1181no—
1253C4×D4—1181no—
1254C4×D4—1181no—
1255C4×D4—1181no—
1256C4×D4—1181no—
1257C4×D4—1181no—
1258C4×D4—1181no—
1259C4×D4—1181no—
1260C4×D4—1181no—
1261C4×D4C22⋊D5911yescharacteristic
1262C4×D4C22⋊D5911yescharacteristic
1263C4×D4C22⋊D5911yescharacteristic
1264C4×D4C22×D5911yescharacteristic
1265C4×D4C22×D5911yescharacteristic
1266C4×D4C22×D5911yescharacteristic
1267C4×D4C22×D5911yescharacteristic
1268C4×D4C22×D5911yescharacteristic
1269#117—21no—
1270#117—21no—
1271#117—21no—
1272#117—21no—
1273#117—21no—
1274#117—21no—
1275#117—21no—
1276#117—1181no—
1277#117—1181no—
1278#117—1181no—
1279#117—1181no—
1280#117C22⋊D5911yescharacteristic
1281#117C22⋊D5911yescharacteristic
1282#117C22⋊D5911yescharacteristic
1283#117C22×D5911yescharacteristic
1284C2×C4⋊C4—21no—
1285C2×C4⋊C4—21no—
1286C2×C4⋊C4C22×D5911yescharacteristic
1287C2×C4⋊C4C22×D5911yescharacteristic
1288C2×C22⋊C4—1181no—
1289C2×C22⋊C4—1181no—
1290C2×C22⋊C4—1181no—
1291C2×C22⋊C4—1181no—
1292C2×C22⋊C4—1181no—
1293C2×C22⋊C4—1181no—
1294C2×C42—21no—
1295C2×C42—21no—
1296C2×C42—21no—
1297C2×C42C22×D5911yescharacteristic
1298C2×C42C22×D5911yescharacteristic
1299C2×C42C22×D5911yescharacteristic
1300#107—591no—
1301#107—591no—
1302#107—591no—
1303#107—591no—
1304#106—591no—
1305#106—591no—
1306#106—591no—
1307#106—591no—
1308C4⋊C8—591no—
1309C4⋊C8—591no—
1310C4⋊C8—591no—
1311C4⋊C8—591no—
1312C4⋊C8—591no—
1313C4⋊C8—591no—
1314C4⋊C8—591no—
1315C4⋊C8—591no—
1316C4⋊C8—591no—
1317C4⋊C8—591no—
1318#103—591no—
1319#103—591no—
1320#103—591no—
1321#103—591no—
1322#103—591no—
1323#103—591no—
1324#103—591no—
1325#103—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#102—591no—
1337#102—591no—
1338#102—591no—
1339#102—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—
1350C22⋊C8—591no—
1351C22⋊C8—591no—
1352C22⋊C8—591no—
1353C22⋊C8—591no—
1354C22⋊C8—591no—
1355C22⋊C8—591no—
1356#97—591no—
1357#97—591no—
1358#97—591no—
1359#97—591no—
1360C4×C8—591no—
1361C4×C8—591no—
1362C24—1181no—
1363C24—1181no—
1364#41—22no—
1365#41—42no—
1366#41—41no—
1367#41—44no—
1368#41—2361no—
1369#41—2361no—
1370#41—2361no—
1371#41—2361no—
1372C2×Q8—21no—
1373C2×Q8—21no—
1374C2×Q8—21no—
1375C2×Q8—22no—
1376C2×Q8—22no—
1377C2×Q8—41no—
1378C2×Q8—41no—
1379C2×Q8—591no—
1380C2×Q8—591no—
1381C2×Q8—591no—
1382C2×Q8—1181no—
1383C2×Q8—1181no—
1384C2×Q8—2361no—
1385C2×Q8—2361no—
1386C2×Q8—2361no—
1387C2×Q8—2361no—
1388C2×Q8C2×C22⋊D5911yescharacteristic
1389C2×Q8C23×D5911yescharacteristic
1390C2×Q8C23×D5911yescharacteristic
1391C2×Q8C23×D5911yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—591no—
1396C2×D4—591no—
1397C2×D4—591no—
1398C2×D4—1181no—
1399C2×D4—1181no—
1400C2×D4—1181no—
1401C2×D4—1181no—
1402C2×D4—1181no—
1403C2×D4—1181no—
1404C2×D4—1181no—
1405C2×D4—1181no—
1406C2×D4—1181no—
1407C2×D4—2361no—
1408C2×D4—2361no—
1409C2×D4—2361no—
1410C2×D4—2361no—
1411C2×D4—2364no—
1412C2×D4C2×C22⋊D5911yescharacteristic
1413C2×D4C2×C22⋊D5911yescharacteristic
1414C2×D4C2×C22⋊D5911yescharacteristic
1415C2×D4C23×D5911yescharacteristic
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—1181no—
1424C22×C4—1181no—
1425C22×C4—1181no—
1426C22×C4—1181no—
1427C22×C4—1181no—
1428C22×C4—1181no—
1429C22×C4—1181no—
1430C22×C4C2×C22⋊D5911yescharacteristic
1431C22×C4C2×C22⋊D5911yescharacteristic
1432C22×C4C2×C22⋊D5911yescharacteristic
1433C22×C4C2×C22⋊D5911yescharacteristic
1434C22×C4C2×C22⋊D5911yescharacteristic
1435C22×C4C2×C22⋊D5911yescharacteristic
1436C22×C4C23×D5911yescharacteristic
1437C22×C4C23×D5911yescharacteristic
1438C22×C4C23×D5911yescharacteristic
1439Q16—1182no—
1440Q16—1182no—
1441Q16—1182no—
1442Q16—2361no—
1443Q16—2361no—
1444Q16—2361no—
1445Q16—2361no—
1446Q16—2361no—
1447Q16—2361no—
1448SD16—1182no—
1449SD16—1182no—
1450SD16—1182no—
1451SD16—2361no—
1452SD16—2361no—
1453SD16—2361no—
1454SD16—2361no—
1455SD16—2361no—
1456SD16—2361no—
1457SD16—2361no—
1458SD16—2361no—
1459SD16—2361no—
1460D8—2361no—
1461D8—2361no—
1462D8—2361no—
1463M16—2361no—
1464M16—2361no—
1465M16—2361no—
1466M16—2361no—
1467C2×C8—591no—
1468C2×C8—591no—
1469C2×C8—591no—
1470C2×C8—591no—
1471C2×C8—591no—
1472C2×C8—591no—
1473C2×C8—591no—
1474C2×C8—591no—
1475C2×C8—2361no—
1476C2×C8—2361no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
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—591no—
1499C4⋊C4—591no—
1500C4⋊C4—1181no—
1501C4⋊C4—1181no—
1502C4⋊C4—1181no—
1503C4⋊C4—1181no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4C2×C22⋊D5911yescharacteristic
1511C4⋊C4C2×C22⋊D5911yescharacteristic
1512C4⋊C4C2×C22⋊D5911yescharacteristic
1513C4⋊C4C2×C22⋊D5911yescharacteristic
1514C4⋊C4C2×C22⋊D5911yescharacteristic
1515C4⋊C4C2×C22⋊D5911yescharacteristic
1516C4⋊C4C23×D5911yescharacteristic
1517C4⋊C4C23×D5911yescharacteristic
1518C4⋊C4C23×D5911yescharacteristic
1519C4⋊C4C23×D5911yescharacteristic
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
1543C22⋊C4—1181no—
1544C22⋊C4—1181no—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
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⋊C4C2×C22⋊D5911yescharacteristic
1557C22⋊C4C2×C22⋊D5911yescharacteristic
1558C22⋊C4C2×C22⋊D5911yescharacteristic
1559C22⋊C4C2×C22⋊D5911yescharacteristic
1560C22⋊C4C2×C22⋊D5911yescharacteristic
1561C22⋊C4C2×C22⋊D5911yescharacteristic
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—21no—
1567C42—21no—
1568C42—21no—
1569C42—21no—
1570C42—21no—
1571C42—1181no—
1572C42—1181no—
1573C42—1181no—
1574C42C2×C22⋊D5911yescharacteristic
1575C42C2×C22⋊D5911yescharacteristic
1576C42C2×C22⋊D5911yescharacteristic
1577C42C2×C22⋊D5911yescharacteristic
1578C42C2×C22⋊D5911yescharacteristic
1579C42C2×C22⋊D5911yescharacteristic
1580C42C23×D5911yescharacteristic
1581C42C23×D5911yescharacteristic
1582C42C23×D5911yescharacteristic
1583C42C23×D5911yescharacteristic
1584C23—21no—
1585C23—1181no—
1586C23—1181no—
1587C23—1181no—
1588C23—4721no—
1589C23—4721no—
1590C23—4721no—
1591C23—4721no—
1592C23—2362no—
1593C23—2362no—
1594C23C22×C22⋊D5911yescharacteristic
1595C23C22×C22⋊D5911yescharacteristic
1596C23C22×C22⋊D5911yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—21no—
1602Q8—41no—
1603Q8—42no—
1604Q8—42no—
1605Q8—42no—
1606Q8—1181no—
1607Q8—1181no—
1608Q8—1181no—
1609Q8—1181no—
1610Q8—1181no—
1611Q8—1181no—
1612Q8—4721no—
1613Q8—4721no—
1614Q8#1427377312yes—
1615D4—22no—
1616D4—22no—
1617D4—21no—
1618D4—21no—
1619D4—41no—
1620D4—42no—
1621D4—42no—
1622D4—42no—
1623D4—1181no—
1624D4—1181no—
1625D4—1181no—
1626D4—1181no—
1627D4—1181no—
1628D4—1181no—
1629D4—4721no—
1630D4—4721no—
1631D4—4721no—
1632D4—4721no—
1633D4—4721no—
1634D4—4721no—
1635D4—2362no—
1636D4—2362no—
1637D4—2362no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—42no—
1658C2×C4—42no—
1659C2×C4—42no—
1660C2×C4—42no—
1661C2×C4—42no—
1662C2×C4—42no—
1663C2×C4—42no—
1664C2×C4—1181no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—4721no—
1670C2×C4—4721no—
1671C2×C4—4721no—
1672C2×C4—4721no—
1673C2×C4—4721no—
1674C2×C4—4721no—
1675C2×C4—2362no—
1676C2×C4C22×C22⋊D5911yescharacteristic
1677C2×C4C22×C22⋊D5911yescharacteristic
1678C2×C4C22×C22⋊D5911yescharacteristic
1679C2×C4C22×C22⋊D5911yescharacteristic
1680C2×C4C22×C22⋊D5911yescharacteristic
1681C2×C4C22×C22⋊D5911yescharacteristic
1682C2×C4C22×C22⋊D5911yescharacteristic
1683C2×C4C22×C22⋊D5911yescharacteristic
1684C2×C4C22×C22⋊D5911yescharacteristic
1685C2×C4C22×C22⋊D5911yescharacteristic
1686C2×C4C22×C22⋊D5911yescharacteristic
1687C2×C4C24×D5911yescharacteristic
1688C8—1181no—
1689C8—1181no—
1690C8—1181no—
1691C8—1181no—
1692C8—1181no—
1693C8—1181no—
1694C8—1181no—
1695C8—1181no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—9442no—
1708C22—9442no—
1709C22—2361no—
1710C22—2361no—
1711C22—2361no—
1712C22—2361no—
1713C22—2361no—
1714C22—2361no—
1715C22—2361no—
1716C22—2361no—
1717C22—2361no—
1718C22#1683820012yes—
1719C22C23×C22⋊D5911yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—22no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—2361no—
1739C4—2361no—
1740C4—2361no—
1741C4—2361no—
1742C4—2361no—
1743C4C2×#1427377311yescharacteristic
1744C4#1683823811yescharacteristic
1745C2—22no—
1746C2—41no—
1747C2—41no—
1748C2—81no—
1749C2—4721no—
1750C2—4721no—
1751C2—4721no—
1752C2#2143776511yescharacteristic
1753C2C2×#1683820011yescharacteristic
1754C2#2143888311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3482C2
socleC22×C59C23×D4
hypercenter#3482D59
hypocenterC59#61972
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3482

Complements

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

NH ≅ G/Ntype
1. #21438057C2semidirect
2. #21437171C2semidirect
3. #21437162C2semidirect
4. #21436938C2semidirect
5. #21436864C2semidirect
6. #21436358C2semidirect
7. #21436306C2semidirect
8. #21436141C2semidirect
9. #21436111C2semidirect
10. #21436081C2semidirect
11. #21436051C2semidirect
12. #21435749C2semidirect
13. #21435728C2semidirect
14. #21435667C2semidirect
15. #21435662C2semidirect
16. #21435607C2semidirect
17. #21435592C2semidirect
18. #21435492C2semidirect
19. #21435463C2semidirect
20. #21435443C2semidirect
21. #21435129C2semidirect
22. #21435095C2semidirect
23. #21435057C2semidirect
24. #21434267C2semidirect
25. #21434205C2semidirect
26. #21434176C2semidirect
27. #21433590C2semidirect
28. #21433568C2semidirect
29. C2×#16837624C2semidirect
30. #21433213C2semidirect
31. C59×#3482C2semidirect
32. C2×#14273758C22semidirect
33. C2×#14273758C22semidirect
34. C2×#14273757C22semidirect
36. C22×#11745672C22semidirect
60. #16837797C22semidirect
62. #16837794C22semidirect
65. #16837784C22semidirect
66. #16837772C22semidirect
69. #16837764C22semidirect
71. #16837759C22semidirect
72. #16837743C22semidirect
73. #16837737C22semidirect
74. #16837732C22semidirect
78. #16837709C22semidirect
79. #16837709C22semidirect
80. #16837709C22semidirect
81. #16837706C22semidirect
82. #16837706C22semidirect
83. #16837702C22semidirect
85. #16837699C22semidirect
86. #16837694C22semidirect
87. #16837689C22semidirect
88. #16837658C22semidirect
89. #16837658C22semidirect
90. #16837658C22semidirect
95. #16837646C22semidirect
96. #16837641C22semidirect
99. #16837629C22semidirect
106. #16837624C22semidirect
107. #16837624C22semidirect
108. #16837624C22semidirect
109. #16837624C22semidirect
110. #16837624C22semidirect
111. #16837624C22semidirect
112. #16837624C22semidirect
113. #16837624C22semidirect
114. #16837624C22semidirect
115. #16837621C22semidirect
116. #16837621C22semidirect
119. #16837617C22semidirect
120. #16837617C22semidirect
121. #16837617C22semidirect
123. #16837614C22semidirect
124. #16837612C22semidirect
125. #16837612C22semidirect
126. #16837609C22semidirect
127. #16837604C22semidirect
130. #16837564C22semidirect
131. #16837562C22semidirect
132. #16837562C22semidirect
133. #16837558C22semidirect
134. #16837558C22semidirect
135. #16837557C22semidirect
136. #16837557C22semidirect
137. #16837557C22semidirect
142. #16837545C22semidirect
143. #16837545C22semidirect
146. #16837540C22semidirect
148. #16837533C22semidirect
149. #16837533C22semidirect
150. #16837512C22semidirect
151. #16837507C22semidirect
152. #16837507C22semidirect
153. #16837507C22semidirect
154. #16837502C22semidirect
157. #16837500C22semidirect
158. C4×#11745672C22semidirect
159. C4×#11745672C22semidirect
160. C4×#11745671C22semidirect
161. C4×#11745671C22semidirect
162. #16837480C22semidirect
163. #16837480C22semidirect
166. #16837474C22semidirect
167. #16837474C22semidirect
168. #16837459C22semidirect
169. #16837459C22semidirect
170. #16837455C22semidirect
171. #16837426C22semidirect
172. #16837426C22semidirect
173. C2×C4⋊(C59⋊C8)C22semidirect
174. #16837410C22semidirect
176. #16837401C22semidirect
177. #16837401C22semidirect
178. C2×#14273650C22semidirect
180. C59×#557C22semidirect
182. C59×#556C22semidirect
186. C59×#552C22semidirect
187. D4×Q8×C59C22semidirect
189. C59×#548C22semidirect
191. C59×#547C22semidirect
193. C59×#533C22semidirect
196. C59×#529C22semidirect
197. C59×#529C22semidirect
200. C4×#41×C59C22semidirect
201. C2×C4×Q8×C59C22semidirect
202. C2×C4×Q8×C59C22semidirect
869. #3482D59semidirect
916. #557C2×D59semidirect
919. #556C2×D59semidirect
924. #552C2×D59semidirect
928. D4×Q8C2×D59semidirect
932. #548C2×D59semidirect
934. #547C2×D59semidirect
943. #533C2×D59semidirect
950. #529C2×D59semidirect
951. #529C2×D59semidirect
957. C4×#41C2×D59semidirect
958. C2×C4×Q8C2×D59semidirect
959. C2×C4×Q8C2×D59semidirect
1080. C59#61972semidirect

Maximal subgroups

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

subgroupindex
#214380572
#214371712
#214371622
#214369382
#214368642
#214363582
#214363062
#214361412
#214361112
#214360812
#214360512
#214357492
#214357282
#214356672
#214356622
#214356072
#214355922
#214354922
#214354632
#214354432
#214351292
#214350952
#214350572
#214342672
#214342052
#214341762
#214335902
#214335682
C2×#168376242
#214332132
C59×#34822
#6197259