Finite Group Databasebeta

← #29481224

Subgroups — #29481224

Order 15104.

1930 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437706C211yesmaximal, characteristic, complemented
2#21437180C211yesmaximal, characteristic, complemented
3#21437162C211yesmaximal, characteristic, complemented
4#21436917C211yesmaximal, characteristic, complemented
5#21436843C211yesmaximal, characteristic, complemented
6#21436349C211yesmaximal, characteristic, complemented
7#21436297C211yesmaximal, characteristic, complemented
8#21436267C211yesmaximal, characteristic, complemented
9#21436237C211yesmaximal, characteristic, complemented
10#21436207C211yesmaximal, characteristic, complemented
11#21436177C211yesmaximal, characteristic, complemented
12#21435728C211yesmaximal, characteristic, complemented
13#21435703C211yesmaximal, characteristic, complemented
14#21435607C211yesmaximal, characteristic, complemented
15#21435592C211yesmaximal, characteristic, complemented
16#21435577C211yesmaximal, characteristic, complemented
17#21435572C211yesmaximal, characteristic, complemented
18#21435492C211yesmaximal, characteristic, complemented
19#21435458C211yesmaximal, characteristic, complemented
20#21435443C211yesmaximal, characteristic, complemented
21#21435133C211yesmaximal, characteristic, complemented
22#21435083C211yesmaximal, characteristic, complemented
23#21435061C211yesmaximal, characteristic, complemented
24#21434230C211yesmaximal, characteristic, complemented
25#21434199C211yesmaximal, characteristic, complemented
26#21434139C211yesmaximal, characteristic, complemented
27#21433586C211yesmaximal, characteristic, complemented
28#21433556C211yesmaximal, characteristic, complemented
29C2×#16837614C211yesmaximal, characteristic, complemented
30#21433213C211yesmaximal, characteristic, complemented
31C59×#3514C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic, complemented
33C2×#14273753C2211yescharacteristic
34C2×#14273752C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic, complemented
36C22×#11745671C2211yescharacteristic, complemented
37C22×#11745669C2211yescharacteristic
38#16838137C2211yescharacteristic, complemented
39#16838112C2211yescharacteristic, complemented
40#16838109C2211yescharacteristic, complemented
41#16838098C2211yescharacteristic
42#16838098C2211yescharacteristic, complemented
43#16838096—21no—
44#16838076—21no—
45#16838076—21no—
46#16838048C2211yescharacteristic
47#16838048C2211yescharacteristic, complemented
48#16838040—21no—
49D4×D236C2211yescharacteristic, complemented
50#16837952C2211yescharacteristic, complemented
51#16837939—21no—
52#16837936C2211yescharacteristic, complemented
53#16837936C2211yescharacteristic, complemented
54#16837911—21no—
55#16837911—21no—
56C4×#11745685C2211yescharacteristic, complemented
57C2×C4×D236C2211yescharacteristic, complemented
58C2×C4×D236C2211yescharacteristic, complemented
59C4×D4×D59—21no—
60#16837794C2211yescharacteristic, complemented
61#16837792C2211yescharacteristic
62#16837792C2211yescharacteristic, complemented
63#16837789C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic, complemented
65#16837784C2211yescharacteristic, complemented
66#16837770C2211yescharacteristic, complemented
67#16837766C2211yescharacteristic, complemented
68#16837761C2211yescharacteristic, complemented
69#16837761C2211yescharacteristic, complemented
70#16837756C2211yescharacteristic, complemented
71#16837756C2211yescharacteristic, complemented
72#16837740C2211yescharacteristic, complemented
73#16837735C2211yescharacteristic, complemented
74#16837730C2211yescharacteristic, complemented
75#16837723C2211yescharacteristic, complemented
76#16837718C2211yescharacteristic, complemented
77#16837713C2211yescharacteristic, complemented
78#16837709C2211yescharacteristic, complemented
79#16837709C2211yescharacteristic, complemented
80#16837706C2211yescharacteristic, complemented
81#16837702C2211yescharacteristic, complemented
82#16837702C2211yescharacteristic, complemented
83#16837699C2211yescharacteristic, complemented
84#16837699C2211yescharacteristic, complemented
85#16837699C2211yescharacteristic, complemented
86#16837687C2211yescharacteristic, complemented
87#16837682C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic, complemented
89#16837653C2211yescharacteristic
90#16837653C2211yescharacteristic, complemented
91#16837653C2211yescharacteristic, complemented
92#16837650C2211yescharacteristic, complemented
93#16837650C2211yescharacteristic, complemented
94#16837650C2211yescharacteristic, complemented
95#16837646C2211yescharacteristic, complemented
96#16837641C2211yescharacteristic, complemented
97#16837636C2211yescharacteristic
98#16837633C2211yescharacteristic, complemented
99#16837629C2211yescharacteristic, complemented
100#16837624C2211yescharacteristic, complemented
101#16837624C2211yescharacteristic, complemented
102#16837621C2211yescharacteristic, complemented
103#16837621C2211yescharacteristic, complemented
104#16837621C2211yescharacteristic, complemented
105#16837621C2211yescharacteristic, complemented
106#16837621C2211yescharacteristic, complemented
107#16837617C2211yescharacteristic, complemented
108#16837617C2211yescharacteristic, complemented
109#16837614C2211yescharacteristic
110#16837614C2211yescharacteristic
111#16837614C2211yescharacteristic
112#16837614C2211yescharacteristic, complemented
113#16837614C2211yescharacteristic, complemented
114#16837614C2211yescharacteristic, complemented
115#16837614C2211yescharacteristic, complemented
116#16837614C2211yescharacteristic, complemented
117#16837614C2211yescharacteristic, complemented
118#16837614C2211yescharacteristic, complemented
119#16837614C2211yescharacteristic, complemented
120#16837614C2211yescharacteristic, complemented
121#16837614C2211yescharacteristic, complemented
122#16837614C2211yescharacteristic, complemented
123#16837614C2211yescharacteristic, complemented
124#16837604C2211yescharacteristic, complemented
125#16837604C2211yescharacteristic, complemented
126#16837602C2211yescharacteristic, complemented
127#16837597C2211yescharacteristic, complemented
128#16837594C2211yescharacteristic
129#16837594C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic, complemented
131#16837564C2211yescharacteristic, complemented
132#16837562C2211yescharacteristic, complemented
133#16837558C2211yescharacteristic, complemented
134#16837553C2211yescharacteristic, complemented
135#16837552C2211yescharacteristic, complemented
136#16837552C2211yescharacteristic, complemented
137#16837547C2211yescharacteristic, complemented
138#16837547C2211yescharacteristic, complemented
139#16837545C2211yescharacteristic
140#16837541C2211yescharacteristic, complemented
141#16837541C2211yescharacteristic, complemented
142#16837541C2211yescharacteristic, complemented
143#16837536C2211yescharacteristic
144#16837536C2211yescharacteristic, complemented
145#16837536C2211yescharacteristic, complemented
146#16837535C2211yescharacteristic
147#16837535C2211yescharacteristic
148#16837533C2211yescharacteristic, complemented
149#16837533C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic
151#16837512C2211yescharacteristic, complemented
152#16837512C2211yescharacteristic, complemented
153#16837507C2211yescharacteristic, complemented
154#16837502C2211yescharacteristic, complemented
155#16837500C2211yescharacteristic, complemented
156#16837500C2211yescharacteristic, complemented
157#16837500C2211yescharacteristic, complemented
158C4×#11745671C2211yescharacteristic, complemented
159C4×#11745671C2211yescharacteristic, complemented
160C4×#11745669C2211yescharacteristic, complemented
161C4×#11745669C2211yescharacteristic, complemented
162#16837480C2211yescharacteristic, complemented
163#16837480C2211yescharacteristic, complemented
164#16837474C2211yescharacteristic, complemented
165#16837474C2211yescharacteristic, complemented
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#16837411C2211yescharacteristic, complemented
175#16837407C2211yescharacteristic, complemented
176#16837403C2211yescharacteristic, complemented
177#16837403C2211yescharacteristic, complemented
178C2×#14273651C2211yescharacteristic, complemented
179C2×#14273648C2211yescharacteristic, complemented
180C59×#559C2211yescharacteristic, complemented
181C59×#556C2211yescharacteristic, complemented
182C59×#555—21no—
183C59×#551—21no—
184C59×#551—21no—
185D4×Q8×C59C2211yescharacteristic, complemented
186C59×#548C2211yescharacteristic
187C59×#548C2211yescharacteristic, complemented
188C59×#546—21no—
189C59×#546C2211yescharacteristic
190C59×#546C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic, complemented
192C59×#542—21no—
193C59×#538—21no—
194C59×#538—21no—
195C59×#532C2211yescharacteristic, complemented
196C59×#529C2211yescharacteristic, complemented
197C59×#529C2211yescharacteristic, complemented
198C59×#529C2211yescharacteristic, complemented
199C2×#124×C59C2211yescharacteristic, complemented
200C2×#124×C59C2211yescharacteristic, complemented
201C59×#518—21no—
202C4×#41×C59C2211yescharacteristic
203C2×#11745685—21no—
204C2×#11745685C2311yescharacteristic
205C22×D236C2311yescharacteristic
206C22×D236C2311yescharacteristic
207C2×D4×D59—21no—
208C22×C4×D59—21no—
209C22×C4×D59—21no—
210#14273758—42no—
211#14273753—42no—
212#14273752—42no—
213#14273752—42no—
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745670C2311yescharacteristic
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745671—42no—
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745669—42no—
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745664C2311yescharacteristic
242C2×#11745664C2311yescharacteristic
243C2×#11745664C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245C22×C59⋊C8C2311yescharacteristic
246#14273727C2311yescharacteristic
247#14273724C2311yescharacteristic
248#14273722—21no—
249#14273722—21no—
250#14273721—21no—
251#14273721—21no—
252#14273719C2311yescharacteristic
253#14273719C2311yescharacteristic
254#14273718—21no—
255#14273716—21no—
256#14273715—21no—
257#14273715C2311yescharacteristic
258#14273715C2311yescharacteristic
259#14273712—21no—
260#14273712—21no—
261#14273712—21no—
262#14273712—21no—
263#14273710—21no—
264#14273710—21no—
265#14273709—21no—
266#14273709—21no—
267#14273706C2311yescharacteristic
268#14273706C2311yescharacteristic
269#14273705—21no—
270#14273705—21no—
271#14273704—21no—
272#14273704—21no—
273#14273703—21no—
274#14273702—21no—
275#14273701—21no—
276#14273701C2311yescharacteristic
277#14273701C2311yescharacteristic
278#14273701C2311yescharacteristic
279#14273701C2311yescharacteristic
280#14273700—21no—
281#14273700—21no—
282#14273699—21no—
283#14273699—21no—
284#14273697—21no—
285#14273697—21no—
286#14273695—21no—
287#14273695—21no—
288C4×Dic118C2311yescharacteristic
289C4×Dic118C2311yescharacteristic
290C4×D236—21no—
291C4×D236—21no—
292C4×D236—21no—
293C4×D236—21no—
294C4×D236—21no—
295C4×D236C2311yescharacteristic
296C4×D236C2311yescharacteristic
297C4×D236C2311yescharacteristic
298C4×D236C2311yescharacteristic
299C4×D236C2311yescharacteristic
300C4×D236C2311yescharacteristic
301C4×D236C2311yescharacteristic
302C4×D236C2311yescharacteristic
303D4×Dic59—21no—
304#14273689—21no—
305C4×C22⋊D59—21no—
306C4×C22⋊D59—21no—
307C4×C22⋊D59—21no—
308C4×C22⋊D59—21no—
309(C22⋊D59)⋊C4—21no—
310(C22⋊D59)⋊C4—21no—
311#14273686C2311yescharacteristic
312#14273684—21no—
313#14273684—21no—
314#14273684—21no—
315C2×C4⋊Dic59C2311yescharacteristic
316C2×C4⋊Dic59C2311yescharacteristic
317C4⋊C4×D59—21no—
318C2×(C2×D59)⋊C4—21no—
319C2×(C2×D59)⋊C4—21no—
320C22⋊C4×D59—21no—
321C22⋊C4×D59—21no—
322C42×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#14273651C2311yescharacteristic
348#14273651C2311yescharacteristic
349#14273651C2311yescharacteristic
350#14273651C2311yescharacteristic
351#14273651C2311yescharacteristic
352#14273651C2311yescharacteristic
353#14273650C2311yescharacteristic
354#14273650C2311yescharacteristic
355#14273648C2311yescharacteristic
356#14273648C2311yescharacteristic
357#14273648C2311yescharacteristic
358#14273648C2311yescharacteristic
359#14273648C2311yescharacteristic
360#14273648C2311yescharacteristic
361#14273648C2311yescharacteristic
362#14273648C2311yescharacteristic
363#14273648C2311yescharacteristic
364#14273648C2311yescharacteristic
365#14273648C2311yescharacteristic
366#14273648C2311yescharacteristic
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×C59D411yescharacteristic
386C2×#41×C59C2311yescharacteristic
387C2×#41×C59C2311yescharacteristic
388C22×Q8×C59C2311yescharacteristic
389C22×Q8×C59C2311yescharacteristic
390C22×D4×C59—21no—
391C22×D4×C59C2311yescharacteristic
392C22×D4×C59C2311yescharacteristic
393C4⋊Q8×C59—21no—
394C4⋊Q8×C59C2311yescharacteristic
395#127×C59C2311yescharacteristic
396#126×C59—21no—
397#126×C59—21no—
398#126×C59—21no—
399#126×C59—21no—
400#126×C59—21no—
401#125×C59C2311yescharacteristic
402#124×C59—21no—
403#124×C59—21no—
404#124×C59—21no—
405#124×C59—21no—
406#124×C59—21no—
407#124×C59—21no—
408#124×C59—21no—
409#124×C59C2311yescharacteristic
410#124×C59C2311yescharacteristic
411#124×C59C2311yescharacteristic
412#124×C59C2311yescharacteristic
413#124×C59C2311yescharacteristic
414#124×C59C2311yescharacteristic
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—
423C22⋊Q8×C59—21no—
424C22⋊Q8×C59—21no—
425C22⋊Q8×C59—21no—
426C22⋊Q8×C59—21no—
427C22⋊Q8×C59—21no—
428C22⋊Q8×C59C2311yescharacteristic
429C22⋊Q8×C59C2311yescharacteristic
430C22⋊Q8×C59C2311yescharacteristic
431#121×C59—21no—
432#121×C59—21no—
433#121×C59—21no—
434#121×C59—21no—
435#121×C59—21no—
436#121×C59—21no—
437#121×C59—21no—
438#121×C59C2311yescharacteristic
439#121×C59C2311yescharacteristic
440#121×C59C2311yescharacteristic
441#120×C59—21no—
442#120×C59—21no—
443#120×C59—21no—
444#120×C59—21no—
445C4×Q8×C59D411yescharacteristic
446C4×Q8×C59C2311yescharacteristic
447C4×Q8×C59C2311yescharacteristic
448C4×Q8×C59C2311yescharacteristic
449C4×Q8×C59C2311yescharacteristic
450C4×D4×C59—21no—
451C4×D4×C59—21no—
452C4×D4×C59—21no—
453C4×D4×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59—21no—
456C4×D4×C59—21no—
457C4×D4×C59—21no—
458C4×D4×C59—21no—
459C4×D4×C59D411yescharacteristic
460C4×D4×C59D411yescharacteristic
461C4×D4×C59D411yescharacteristic
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59—21no—
469#117×C59—21no—
470#117×C59—21no—
471#117×C59—21no—
472#117×C59D411yescharacteristic
473#117×C59D411yescharacteristic
474#117×C59D411yescharacteristic
475C2×C22⋊C4×C59—21no—
476C2×C22⋊C4×C59—21no—
477C2×C22⋊C4×C59—21no—
478C2×C22⋊C4×C59—21no—
479C2×C22⋊C4×C59—21no—
480C2×C22⋊C4×C59—21no—
481C2×C42×C59C2311yescharacteristic
482C2×C42×C59C2311yescharacteristic
483C2×C42×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—42no—
489#41×C59—41no—
490#41×C59—41no—
491#41×C59—41no—
492#41×C59—41no—
493C2×Q8×C59—21no—
494C2×Q8×C59—21no—
495C2×Q8×C59—41no—
496C2×Q8×C59—41no—
497C2×Q8×C59—41no—
498C2×Q8×C59—41no—
499C2×Q8×C59C2×D411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×Q8×C59C2411yescharacteristic
502C2×Q8×C59C2411yescharacteristic
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59—41no—
513C2×D4×C59—41no—
514C2×D4×C59—41no—
515C2×D4×C59—41no—
516C2×D4×C59—44no—
517C2×D4×C59C2×D411yescharacteristic
518C2×D4×C59C2×D411yescharacteristic
519C2×D4×C59C2×D411yescharacteristic
520C2×D4×C59C2411yescharacteristic
521C2×D4×C59C2411yescharacteristic
522C2×D4×C59C2411yescharacteristic
523C22×C4×C59—21no—
524C22×C4×C59—21no—
525C22×C4×C59—21no—
526C22×C4×C59—21no—
527C22×C4×C59—21no—
528C22×C4×C59—21no—
529C22×C4×C59—21no—
530C22×C4×C59C2×D411yescharacteristic
531C22×C4×C59C2×D411yescharacteristic
532C22×C4×C59C2×D411yescharacteristic
533C22×C4×C59C2×D411yescharacteristic
534C22×C4×C59C2×D411yescharacteristic
535C22×C4×C59C2×D411yescharacteristic
536C22×C4×C59C2411yescharacteristic
537C22×C4×C59C2411yescharacteristic
538C22×C4×C59C2411yescharacteristic
539C2×C22⋊D59—21no—
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—21no—
543C2×C22⋊D59—21no—
544C22×Dic59—21no—
545C22×Dic59—21no—
546D4×D59—44no—
547#11745685—22no—
548#11745685—41no—
549#11745685—82no—
550C2×D236—22no—
551C2×D236—22no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—21no—
555C2×D236—21no—
556C2×D236—41no—
557C2×D236—41no—
558C2×D236C2411yescharacteristic
559C2×D236C2411yescharacteristic
560C2×D236C2411yescharacteristic
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—82no—
571C2×C4×D59—82no—
572C2×Dic118—21no—
573C2×Dic118C2411yescharacteristic
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59C2×D411yescharacteristic
585C4⋊C4×C59C2×D411yescharacteristic
586C4⋊C4×C59C2×D411yescharacteristic
587C4⋊C4×C59C2×D411yescharacteristic
588C4⋊C4×C59C2×D411yescharacteristic
589C4⋊C4×C59C2×D411yescharacteristic
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×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59—21no—
610C22⋊C4×C59—21no—
611C22⋊C4×C59—21no—
612C22⋊C4×C59—21no—
613C22⋊C4×C59—21no—
614C22⋊C4×C59—21no—
615C22⋊C4×C59C2×D411yescharacteristic
616C22⋊C4×C59C2×D411yescharacteristic
617C22⋊C4×C59C2×D411yescharacteristic
618C22⋊C4×C59C2×D411yescharacteristic
619C22⋊C4×C59C2×D411yescharacteristic
620C22⋊C4×C59C2×D411yescharacteristic
621C42×C59—21no—
622C42×C59—21no—
623C42×C59—21no—
624C42×C59C2×D411yescharacteristic
625C42×C59C2×D411yescharacteristic
626C42×C59C2×D411yescharacteristic
627C42×C59C2×D411yescharacteristic
628C42×C59C2×D411yescharacteristic
629C42×C59C2×D411yescharacteristic
630C42×C59C2411yescharacteristic
631C42×C59C2411yescharacteristic
632C42×C59C2411yescharacteristic
633C42×C59C2411yescharacteristic
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637#11745672—41no—
638#11745672—41no—
639#11745672—41no—
640#11745671—22no—
641#11745671—22no—
642#11745671—22no—
643#11745671—41no—
644#11745671—41no—
645#11745671—41no—
646#11745671—41no—
647#11745671—41no—
648#11745671—41no—
649#11745670—41no—
650#11745670—41no—
651#11745670—41no—
652#11745669—22no—
653#11745669—22no—
654#11745669—22no—
655#11745669—41no—
656#11745669—41no—
657#11745669—41no—
658#11745669—41no—
659#11745669—41no—
660#11745669—41no—
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⋊Dic59—21no—
680C4⋊Dic59C2411yescharacteristic
681C4⋊Dic59C2411yescharacteristic
682C4⋊Dic59C2411yescharacteristic
683C4⋊Dic59C2411yescharacteristic
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692C4×Dic59—21no—
693C4×Dic59—21no—
694C4×Dic59—21no—
695#11745664—41no—
696#11745664—41no—
697#11745664—41no—
698#11745664—41no—
699C2×C59⋊C8—41no—
700C2×C59⋊C8—41no—
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704C2×C59⋊C8C2411yescharacteristic
705C2×C59⋊C8C2411yescharacteristic
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—42no—
713C23×C59—42no—
714C23×C59—81no—
715C23×C59—81no—
716C23×C59—81no—
717C23×C59—81no—
718C23×C59C22×D411yescharacteristic
719C23×C59C22×D411yescharacteristic
720C23×C59C22×D411yescharacteristic
721C22×D59—21no—
722C22×D59—21no—
723C22×D59—21no—
724C22×D59—42no—
725C22×D59—42no—
726C22×D59—42no—
727C22×D59—42no—
728C22×D59—81no—
729C22×D59—81no—
730Q8×C59—21no—
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734Q8×C59—21no—
735Q8×C59—21no—
736Q8×C59—41no—
737Q8×C59—81no—
738Q8×C59—81no—
739D4×C59—22no—
740D4×C59—22no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—21no—
744D4×C59—21no—
745D4×C59—21no—
746D4×C59—21no—
747D4×C59—41no—
748D4×C59—42no—
749D4×C59—42no—
750D4×C59—42no—
751D4×C59—81no—
752D4×C59—81no—
753D4×C59—81no—
754D4×C59—81no—
755D4×C59—81no—
756D4×C59—81no—
757C2×C4×C59—22no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—41no—
770C2×C4×C59—41no—
771C2×C4×C59—41no—
772C2×C4×C59—41no—
773C2×C4×C59—41no—
774C2×C4×C59—42no—
775C2×C4×C59—81no—
776C2×C4×C59—81no—
777C2×C4×C59—81no—
778C2×C4×C59—81no—
779C2×C4×C59—81no—
780C2×C4×C59—81no—
781C2×C4×C59C22×D411yescharacteristic
782C2×C4×C59C22×D411yescharacteristic
783C2×C4×C59C22×D411yescharacteristic
784C2×C4×C59C22×D411yescharacteristic
785C2×C4×C59C22×D411yescharacteristic
786C2×C4×C59C22×D411yescharacteristic
787C2×C4×C59C22×D411yescharacteristic
788C2×C4×C59C22×D411yescharacteristic
789C2×C4×C59C22×D411yescharacteristic
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C22×D411yescharacteristic
792C2×C4×C59C2511yescharacteristic
793C22⋊D59—42no—
794C22⋊D59—42no—
795C22⋊D59—42no—
796C22⋊D59—81no—
797C22⋊D59—81no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—21no—
803C2×Dic59—81no—
804C2×Dic59—81no—
805D236—21no—
806D236—21no—
807D236—21no—
808D236—21no—
809D236—21no—
810D236—42no—
811D236—42no—
812D236—42no—
813D236—81no—
814D236H(5,𝔽2)12yes—
815C4×D59—42no—
816C4×D59—42no—
817C4×D59—42no—
818C4×D59—42no—
819C4×D59—42no—
820C4×D59—81no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824Dic118—21no—
825Dic118—21no—
826Dic118—81no—
827C59⋊C8—21no—
828C59⋊C8—21no—
829C59⋊C8—21no—
830C59⋊C8—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#61971—591nomaximal, Sylow
836C22×C59—21no—
837C22×C59—21no—
838C22×C59—21no—
839C22×C59—21no—
840C22×C59—21no—
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—162no—
854C22×C59—162no—
855C22×C59#57512yes—
856C22×C59C23×D411yescharacteristic
857C2×D59—22no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—84no—
867C2×D59—84no—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—21no—
873C4×C59—21no—
874C4×C59—21no—
875C4×C59—21no—
876C4×C59—21no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—41no—
880C4×C59—41no—
881C4×C59—41no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59C2×H(5,𝔽2)11yescharacteristic
885C4×C59#58511yescharacteristic
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891#3514D5911yescharacteristic, complemented
892#3481—591no—
893#3403—591no—
894#3401—591no—
895#3376—591no—
896#3370—591no—
897#3326—591no—
898#3322—591no—
899#3320—591no—
900#3318—591no—
901#3316—591no—
902#3314—591no—
903#3275—591no—
904#3273—591no—
905#3266—591no—
906#3265—591no—
907#3264—591no—
908#3264—591no—
909#3256—591no—
910#3251—591no—
911#3250—591no—
912#3219—591no—
913#3213—591no—
914#3211—591no—
915#3114—591no—
916#3111—591no—
917#3105—591no—
918#3040—591no—
919#3036—591no—
920C2×#463—591no—
921#2989—591no—
922C2×C59—22no—
923C2×C59—41no—
924C2×C59—41no—
925C2×C59—81no—
926C2×C59—81no—
927C2×C59—81no—
928C2×C59#348811yescharacteristic
929C2×C59C2×#57511yescharacteristic
930C2×C59#358511yescharacteristic
931D59—42no—
932D59—81no—
933D59—81no—
934C2×#137—591no—
935C2×AGL(1,ℤ/8)—591no—
936C2×AGL(1,ℤ/8)—591no—
937C2×AGL(1,ℤ/8)—591no—
938C22×SD16—591no—
939C22×D8—591no—
940#559—591no—
941#559C2×D5911yescharacteristic, complemented
942#556C2×D5911yescharacteristic, complemented
943#555—21no—
944#554—591no—
945#554—591no—
946#553—591no—
947#553—591no—
948#553—1181no—
949#551—21no—
950#551—21no—
951#551—1181no—
952#551—1181no—
953D4×Q8C2×D5911yescharacteristic, complemented
954#548C2×D5911yescharacteristic
955#548C2×D5911yescharacteristic, complemented
956#546—21no—
957#546—591no—
958#546—591no—
959#546—1181no—
960#546C2×D5911yescharacteristic
961#546C2×D5911yescharacteristic, complemented
962D42—591no—
963D42C2×D5911yescharacteristic, complemented
964#542—21no—
965#538—21no—
966#538—21no—
967#532—591no—
968#532C2×D5911yescharacteristic, complemented
969#529—591no—
970#529—591no—
971#529—1181no—
972#529C2×D5911yescharacteristic, complemented
973#529C2×D5911yescharacteristic, complemented
974#529C2×D5911yescharacteristic, complemented
975C2×#124C2×D5911yescharacteristic, complemented
976C2×#124C2×D5911yescharacteristic, complemented
977#525—1181no—
978#525—1181no—
979#518—21no—
980C4×#41—591no—
981C4×#41C2×D5911yescharacteristic
982C2×C4×D4—591no—
983C2×C4×D4—591no—
984C2×C4×D4—1181no—
985#497—591no—
986#496—591no—
987#496—591no—
988#496—591no—
989#495—591no—
990#495—591no—
991#491—591no—
992#490—591no—
993#489—591no—
994#489—591no—
995#488—591no—
996#488—591no—
997#485—591no—
998#484—591no—
999#483—591no—
1000#482—591no—
1001#481—591no—
1002#480—591no—
1003#479—591no—
1004#479—591no—
1005#479—591no—
1006#478—591no—
1007#478—591no—
1008#478—591no—
1009#478—591no—
1010#478—591no—
1011#475—591no—
1012#474—591no—
1013#470—591no—
1014#469—591no—
1015#469—591no—
1016#469—591no—
1017#468—591no—
1018#468—591no—
1019#468—591no—
1020#468—591no—
1021#467—591no—
1022#466—591no—
1023#465—591no—
1024#465—591no—
1025#464—591no—
1026#464—591no—
1027#464—591no—
1028#464—591no—
1029#464—591no—
1030#464—591no—
1031#464—591no—
1032#463—591no—
1033#463—591no—
1034#463—591no—
1035#463—591no—
1036#463—591no—
1037#463—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463—591no—
1048#463—591no—
1049#461—591no—
1050#461—591no—
1051#460—591no—
1052#459—591no—
1053#459—591no—
1054#459—591no—
1055#452—591no—
1056#452—591no—
1057#452—591no—
1058#451—591no—
1059#450—591no—
1060#450—591no—
1061#450—591no—
1062#449—591no—
1063#449—591no—
1064#449—591no—
1065#448—591no—
1066#448—591no—
1067#448—591no—
1068#447—591no—
1069#447—591no—
1070#447—591no—
1071#447—591no—
1072#447—591no—
1073#446—591no—
1074#446—591no—
1075#442—591no—
1076#442—591no—
1077#442—591no—
1078#441—591no—
1079#440—591no—
1080#440—591no—
1081#440—591no—
1082#440—591no—
1083C4×SD16—591no—
1084C4×SD16—591no—
1085C4×D8—591no—
1086C4×D8—591no—
1087#436—591no—
1088#436—591no—
1089#435—591no—
1090#435—591no—
1091#435—591no—
1092#435—591no—
1093#432—591no—
1094#432—591no—
1095#431—591no—
1096#423—591no—
1097#423—591no—
1098C2×C4⋊C8—591no—
1099#419—591no—
1100#418—591no—
1101#417—591no—
1102#417—591no—
1103C2×#103—591no—
1104C2×#102—591no—
1105C59#6197111yescharacteristic, complemented, Sylow
1106C2×#41—591no—
1107C2×#41—1181no—
1108C2×#41C22⋊D5911yescharacteristic
1109C2×#41C22×D5911yescharacteristic
1110C2×#41C22×D5911yescharacteristic
1111C22×Q8C22×D5911yescharacteristic
1112C22×Q8C22×D5911yescharacteristic
1113C22×D4—21no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—1181no—
1117C22×D4C22×D5911yescharacteristic
1118C22×D4C22×D5911yescharacteristic
1119C23×C4—1181no—
1120C23×C4—1181no—
1121#137—2362no—
1122AGL(1,ℤ/8)—2362no—
1123AGL(1,ℤ/8)—2362no—
1124AGL(1,ℤ/8)—2362no—
1125C2×Q16—591no—
1126C2×Q16—591no—
1127C2×Q16—591no—
1128C2×SD16—591no—
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—2362no—
1141C2×D8—591no—
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8—591no—
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—591no—
1149C2×D8—591no—
1150C2×D8—2362no—
1151C2×M16—591no—
1152C2×M16—591no—
1153C2×M16—591no—
1154C2×M16—591no—
1155C22×C8—591no—
1156C22×C8—591no—
1157C4⋊Q8—21no—
1158C4⋊Q8—591no—
1159C4⋊Q8C22×D5911yescharacteristic
1160#127—591no—
1161#127C22×D5911yescharacteristic
1162#126—21no—
1163#126—21no—
1164#126—21no—
1165#126—21no—
1166#126—21no—
1167#126—1181no—
1168#126—1181no—
1169#126—1181no—
1170#126—1181no—
1171#125—591no—
1172#125—591no—
1173#125—1181no—
1174#125C22×D5911yescharacteristic
1175#124—21no—
1176#124—21no—
1177#124—21no—
1178#124—21no—
1179#124—21no—
1180#124—21no—
1181#124—21no—
1182#124—591no—
1183#124—591no—
1184#124—1181no—
1185#124—1181no—
1186#124C22×D5911yescharacteristic
1187#124C22×D5911yescharacteristic
1188#124C22×D5911yescharacteristic
1189#124C22×D5911yescharacteristic
1190#124C22×D5911yescharacteristic
1191#124C22×D5911yescharacteristic
1192#124C22×D5911yescharacteristic
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—21no—
1198#123—21no—
1199#123—21no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—591no—
1214C22⋊Q8—591no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8C22×D5911yescharacteristic
1221C22⋊Q8C22×D5911yescharacteristic
1222C22⋊Q8C22×D5911yescharacteristic
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—591no—
1231#121—591no—
1232#121—591no—
1233#121—591no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121C22×D5911yescharacteristic
1241#121C22×D5911yescharacteristic
1242#121C22×D5911yescharacteristic
1243#120—21no—
1244#120—21no—
1245#120—21no—
1246#120—21no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251C4×Q8—591no—
1252C4×Q8—591no—
1253C4×Q8C22⋊D5911yescharacteristic
1254C4×Q8C22×D5911yescharacteristic
1255C4×Q8C22×D5911yescharacteristic
1256C4×Q8C22×D5911yescharacteristic
1257C4×Q8C22×D5911yescharacteristic
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—21no—
1263C4×D4—21no—
1264C4×D4—21no—
1265C4×D4—21no—
1266C4×D4—21no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4C22⋊D5911yescharacteristic
1289C4×D4C22⋊D5911yescharacteristic
1290C4×D4C22⋊D5911yescharacteristic
1291C4×D4C22×D5911yescharacteristic
1292C4×D4C22×D5911yescharacteristic
1293C4×D4C22×D5911yescharacteristic
1294C4×D4C22×D5911yescharacteristic
1295C4×D4C22×D5911yescharacteristic
1296C4×D4C22×D5911yescharacteristic
1297#117—21no—
1298#117—21no—
1299#117—21no—
1300#117—21no—
1301#117—591no—
1302#117—1181no—
1303#117—1181no—
1304#117—1181no—
1305#117C22⋊D5911yescharacteristic
1306#117C22⋊D5911yescharacteristic
1307#117C22⋊D5911yescharacteristic
1308C2×C4⋊C4—591no—
1309C2×C4⋊C4—591no—
1310C2×C4⋊C4—1181no—
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—21no—
1314C2×C22⋊C4—21no—
1315C2×C22⋊C4—21no—
1316C2×C22⋊C4—21no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C42—1181no—
1322C2×C42C22×D5911yescharacteristic
1323C2×C42C22×D5911yescharacteristic
1324C2×C42C22×D5911yescharacteristic
1325#107—591no—
1326#107—591no—
1327#107—591no—
1328#107—591no—
1329#106—591no—
1330#106—591no—
1331#106—591no—
1332#106—591no—
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8—591no—
1340C4⋊C8—591no—
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8—591no—
1379C22⋊C8—591no—
1380C22⋊C8—591no—
1381#97—591no—
1382#97—591no—
1383#97—591no—
1384#97—591no—
1385C4×C8—591no—
1386C4×C8—591no—
1387C24—21no—
1388C24—21no—
1389C24—1181no—
1390C24—1181no—
1391#41—42no—
1392#41—41no—
1393#41—41no—
1394#41—41no—
1395#41—41no—
1396#41—1182no—
1397#41—4722no—
1398#41—2361no—
1399C2×Q8—21no—
1400C2×Q8—21no—
1401C2×Q8—41no—
1402C2×Q8—41no—
1403C2×Q8—41no—
1404C2×Q8—41no—
1405C2×Q8—591no—
1406C2×Q8—1181no—
1407C2×Q8C2×C22⋊D5911yescharacteristic
1408C2×Q8C23×D5911yescharacteristic
1409C2×Q8C23×D5911yescharacteristic
1410C2×Q8C23×D5911yescharacteristic
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—41no—
1421C2×D4—41no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—44no—
1425C2×D4—591no—
1426C2×D4—591no—
1427C2×D4—591no—
1428C2×D4—1182no—
1429C2×D4—1182no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—2361no—
1440C2×D4—2361no—
1441C2×D4—2364no—
1442C2×D4C2×C22⋊D5911yescharacteristic
1443C2×D4C2×C22⋊D5911yescharacteristic
1444C2×D4C2×C22⋊D5911yescharacteristic
1445C2×D4C23×D5911yescharacteristic
1446C2×D4C23×D5911yescharacteristic
1447C2×D4C23×D5911yescharacteristic
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—4722no—
1467C22×C4—4722no—
1468C22×C4C2×C22⋊D5911yescharacteristic
1469C22×C4C2×C22⋊D5911yescharacteristic
1470C22×C4C2×C22⋊D5911yescharacteristic
1471C22×C4C2×C22⋊D5911yescharacteristic
1472C22×C4C2×C22⋊D5911yescharacteristic
1473C22×C4C2×C22⋊D5911yescharacteristic
1474C22×C4C23×D5911yescharacteristic
1475C22×C4C23×D5911yescharacteristic
1476C22×C4C23×D5911yescharacteristic
1477Q16—2361no—
1478Q16—2361no—
1479Q16—2361no—
1480SD16—1182no—
1481SD16—1182no—
1482SD16—1182no—
1483SD16—2361no—
1484SD16—2361no—
1485SD16—2361no—
1486SD16—2361no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492D8—1182no—
1493D8—1182no—
1494D8—1182no—
1495D8—2361no—
1496D8—2361no—
1497D8—2361no—
1498D8—2361no—
1499D8—2361no—
1500D8—2361no—
1501M16—2361no—
1502M16—2361no—
1503M16—2361no—
1504M16—2361no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—591no—
1508C2×C8—591no—
1509C2×C8—591no—
1510C2×C8—591no—
1511C2×C8—591no—
1512C2×C8—591no—
1513C2×C8—2361no—
1514C2×C8—2361no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4—591no—
1526C4⋊C4—591no—
1527C4⋊C4—591no—
1528C4⋊C4—591no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4C2×C22⋊D5911yescharacteristic
1541C4⋊C4C2×C22⋊D5911yescharacteristic
1542C4⋊C4C2×C22⋊D5911yescharacteristic
1543C4⋊C4C2×C22⋊D5911yescharacteristic
1544C4⋊C4C2×C22⋊D5911yescharacteristic
1545C4⋊C4C2×C22⋊D5911yescharacteristic
1546C4⋊C4C23×D5911yescharacteristic
1547C4⋊C4C23×D5911yescharacteristic
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4C2×C22⋊D5911yescharacteristic
1591C22⋊C4C2×C22⋊D5911yescharacteristic
1592C22⋊C4C2×C22⋊D5911yescharacteristic
1593C22⋊C4C2×C22⋊D5911yescharacteristic
1594C22⋊C4C2×C22⋊D5911yescharacteristic
1595C22⋊C4C2×C22⋊D5911yescharacteristic
1596C42—21no—
1597C42—21no—
1598C42—21no—
1599C42—1181no—
1600C42—1181no—
1601C42—1181no—
1602C42C2×C22⋊D5911yescharacteristic
1603C42C2×C22⋊D5911yescharacteristic
1604C42C2×C22⋊D5911yescharacteristic
1605C42C2×C22⋊D5911yescharacteristic
1606C42C2×C22⋊D5911yescharacteristic
1607C42C2×C22⋊D5911yescharacteristic
1608C42C23×D5911yescharacteristic
1609C42C23×D5911yescharacteristic
1610C42C23×D5911yescharacteristic
1611C42C23×D5911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—42no—
1616C23—42no—
1617C23—81no—
1618C23—81no—
1619C23—81no—
1620C23—81no—
1621C23—1181no—
1622C23—1181no—
1623C23—1181no—
1624C23—4721no—
1625C23—4721no—
1626C23—2362no—
1627C23—2362no—
1628C23—2362no—
1629C23—2362no—
1630C23C22×C22⋊D5911yescharacteristic
1631C23C22×C22⋊D5911yescharacteristic
1632C23C22×C22⋊D5911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—21no—
1639Q8—41no—
1640Q8—81no—
1641Q8—81no—
1642Q8—1181no—
1643Q8—1181no—
1644Q8—4721no—
1645D4—22no—
1646D4—22no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—41no—
1654D4—42no—
1655D4—42no—
1656D4—42no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—592no—
1664D4—1181no—
1665D4—1181no—
1666D4—1181no—
1667D4—1181no—
1668D4—1181no—
1669D4—4721no—
1670D4—4721no—
1671D4—4721no—
1672D4—2362no—
1673D4—2362no—
1674D4—2362no—
1675D4—2362no—
1676D4—2362no—
1677D4—2362no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—42no—
1696C2×C4—81no—
1697C2×C4—81no—
1698C2×C4—81no—
1699C2×C4—81no—
1700C2×C4—81no—
1701C2×C4—81no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—1181no—
1706C2×C4—1181no—
1707C2×C4—4721no—
1708C2×C4—4721no—
1709C2×C4—4721no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—2362no—
1714C2×C4—2362no—
1715C2×C4—2362no—
1716C2×C4—2362no—
1717C2×C4—2362no—
1718C2×C4C22×C22⋊D5911yescharacteristic
1719C2×C4C22×C22⋊D5911yescharacteristic
1720C2×C4C22×C22⋊D5911yescharacteristic
1721C2×C4C22×C22⋊D5911yescharacteristic
1722C2×C4C22×C22⋊D5911yescharacteristic
1723C2×C4C22×C22⋊D5911yescharacteristic
1724C2×C4C22×C22⋊D5911yescharacteristic
1725C2×C4C22×C22⋊D5911yescharacteristic
1726C2×C4C22×C22⋊D5911yescharacteristic
1727C2×C4C22×C22⋊D5911yescharacteristic
1728C2×C4C22×C22⋊D5911yescharacteristic
1729C2×C4C24×D5911yescharacteristic
1730C8—1181no—
1731C8—1181no—
1732C8—1181no—
1733C8—1181no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C8—1181no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—21no—
1742C22—21no—
1743C22—21no—
1744C22—21no—
1745C22—21no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—162no—
1756C22—162no—
1757C22—1182no—
1758C22—4724no—
1759C22—4724no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22#1683820012yes—
1769C22C23×C22⋊D5911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—21no—
1776C4—21no—
1777C4—21no—
1778C4—21no—
1779C4—21no—
1780C4—21no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—2361no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4H(5,𝔽2)×D5911yescharacteristic
1792C4#1683823711yescharacteristic
1793C2—22no—
1794C2—41no—
1795C2—41no—
1796C2—81no—
1797C2—81no—
1798C2—81no—
1799C2—4721no—
1800C2—4721no—
1801C2—2362no—
1802C2#2143775811yescharacteristic
1803C2C2×#1683820011yescharacteristic
1804C2#2143887511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3514C2
socleC22×C59C23×D4
hypercenter#3514D59
hypocenterC59#61971
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3514

Complements

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

NH ≅ G/Ntype
1. #21437706C2semidirect
2. #21437180C2semidirect
3. #21437162C2semidirect
4. #21436917C2semidirect
5. #21436843C2semidirect
6. #21436349C2semidirect
7. #21436297C2semidirect
8. #21436267C2semidirect
9. #21436237C2semidirect
10. #21436207C2semidirect
11. #21436177C2semidirect
12. #21435728C2semidirect
13. #21435703C2semidirect
14. #21435607C2semidirect
15. #21435592C2semidirect
16. #21435577C2semidirect
17. #21435572C2semidirect
18. #21435492C2semidirect
19. #21435458C2semidirect
20. #21435443C2semidirect
21. #21435133C2semidirect
22. #21435083C2semidirect
23. #21435061C2semidirect
24. #21434230C2semidirect
25. #21434199C2semidirect
26. #21434139C2semidirect
27. #21433586C2semidirect
28. #21433556C2semidirect
29. C2×#16837614C2semidirect
30. #21433213C2semidirect
31. C59×#3514C2semidirect
32. C2×#14273758C22semidirect
34. C2×#14273752C22semidirect
35. C2×#14273752C22semidirect
36. C22×#11745671C22semidirect
38. #16838137C22semidirect
39. #16838112C22semidirect
40. #16838109C22semidirect
42. #16838098C22semidirect
47. #16838048C22semidirect
49. D4×D236C22semidirect
50. #16837952C22semidirect
52. #16837936C22semidirect
53. #16837936C22semidirect
56. C4×#11745685C22semidirect
57. C2×C4×D236C22semidirect
58. C2×C4×D236C22semidirect
60. #16837794C22semidirect
62. #16837792C22semidirect
63. #16837789C22semidirect
64. #16837784C22semidirect
65. #16837784C22semidirect
66. #16837770C22semidirect
67. #16837766C22semidirect
68. #16837761C22semidirect
69. #16837761C22semidirect
70. #16837756C22semidirect
71. #16837756C22semidirect
72. #16837740C22semidirect
73. #16837735C22semidirect
74. #16837730C22semidirect
75. #16837723C22semidirect
76. #16837718C22semidirect
77. #16837713C22semidirect
78. #16837709C22semidirect
79. #16837709C22semidirect
80. #16837706C22semidirect
81. #16837702C22semidirect
82. #16837702C22semidirect
83. #16837699C22semidirect
84. #16837699C22semidirect
85. #16837699C22semidirect
86. #16837687C22semidirect
87. #16837682C22semidirect
88. #16837658C22semidirect
90. #16837653C22semidirect
91. #16837653C22semidirect
92. #16837650C22semidirect
93. #16837650C22semidirect
94. #16837650C22semidirect
95. #16837646C22semidirect
96. #16837641C22semidirect
98. #16837633C22semidirect
99. #16837629C22semidirect
100. #16837624C22semidirect
101. #16837624C22semidirect
102. #16837621C22semidirect
103. #16837621C22semidirect
104. #16837621C22semidirect
105. #16837621C22semidirect
106. #16837621C22semidirect
107. #16837617C22semidirect
108. #16837617C22semidirect
112. #16837614C22semidirect
113. #16837614C22semidirect
114. #16837614C22semidirect
115. #16837614C22semidirect
116. #16837614C22semidirect
117. #16837614C22semidirect
118. #16837614C22semidirect
119. #16837614C22semidirect
120. #16837614C22semidirect
121. #16837614C22semidirect
122. #16837614C22semidirect
123. #16837614C22semidirect
124. #16837604C22semidirect
125. #16837604C22semidirect
126. #16837602C22semidirect
127. #16837597C22semidirect
129. #16837594C22semidirect
130. #16837564C22semidirect
131. #16837564C22semidirect
132. #16837562C22semidirect
133. #16837558C22semidirect
134. #16837553C22semidirect
135. #16837552C22semidirect
136. #16837552C22semidirect
137. #16837547C22semidirect
138. #16837547C22semidirect
140. #16837541C22semidirect
141. #16837541C22semidirect
142. #16837541C22semidirect
144. #16837536C22semidirect
145. #16837536C22semidirect
148. #16837533C22semidirect
149. #16837533C22semidirect
151. #16837512C22semidirect
152. #16837512C22semidirect
153. #16837507C22semidirect
154. #16837502C22semidirect
155. #16837500C22semidirect
156. #16837500C22semidirect
157. #16837500C22semidirect
158. C4×#11745671C22semidirect
159. C4×#11745671C22semidirect
160. C4×#11745669C22semidirect
161. C4×#11745669C22semidirect
162. #16837480C22semidirect
163. #16837480C22semidirect
164. #16837474C22semidirect
165. #16837474C22semidirect
166. #16837474C22semidirect
167. #16837474C22semidirect
168. #16837459C22semidirect
169. #16837459C22semidirect
170. #16837455C22semidirect
171. #16837426C22semidirect
172. #16837426C22semidirect
173. C2×C4⋊(C59⋊C8)C22semidirect
174. #16837411C22semidirect
175. #16837407C22semidirect
176. #16837403C22semidirect
177. #16837403C22semidirect
178. C2×#14273651C22semidirect
179. C2×#14273648C22semidirect
180. C59×#559C22semidirect
181. C59×#556C22semidirect
185. D4×Q8×C59C22semidirect
187. C59×#548C22semidirect
190. C59×#546C22semidirect
191. D42×C59C22semidirect
195. C59×#532C22semidirect
196. C59×#529C22semidirect
197. C59×#529C22semidirect
198. C59×#529C22semidirect
199. C2×#124×C59C22semidirect
200. C2×#124×C59C22semidirect
891. #3514D59semidirect
941. #559C2×D59semidirect
942. #556C2×D59semidirect
953. D4×Q8C2×D59semidirect
955. #548C2×D59semidirect
961. #546C2×D59semidirect
963. D42C2×D59semidirect
968. #532C2×D59semidirect
972. #529C2×D59semidirect
973. #529C2×D59semidirect
974. #529C2×D59semidirect
975. C2×#124C2×D59semidirect
976. C2×#124C2×D59semidirect
1105. C59#61971semidirect

Maximal subgroups

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

subgroupindex
#214377062
#214371802
#214371622
#214369172
#214368432
#214363492
#214362972
#214362672
#214362372
#214362072
#214361772
#214357282
#214357032
#214356072
#214355922
#214355772
#214355722
#214354922
#214354582
#214354432
#214351332
#214350832
#214350612
#214342302
#214341992
#214341392
#214335862
#214335562
C2×#168376142
#214332132
C59×#35142
#6197159