Finite Group Databasebeta

← #29457852

Subgroups — #29457852

Order 15104.

2094 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438011C211yesmaximal, characteristic, complemented
2C4×#14273772C211yesmaximal, characteristic, complemented
3#21434347C211yesmaximal, characteristic, complemented
4#21434342C211yesmaximal, characteristic, complemented
5#21434338C211yesmaximal, characteristic, complemented
6#21434333C211yesmaximal, characteristic, complemented
7#21434314C211yesmaximal, characteristic, complemented
8#21434313C211yesmaximal, characteristic, complemented
9#21434299C211yesmaximal, characteristic, complemented
10#21434298C211yesmaximal, characteristic, complemented
11#21434233C211yesmaximal, characteristic, complemented
12#21434210C211yesmaximal, characteristic, complemented
13#21434207C211yesmaximal, characteristic, complemented
14#21434148C211yesmaximal, characteristic, complemented
15#21434143C211yesmaximal, characteristic, complemented
16#21434111C211yesmaximal, characteristic, complemented
17#21434108C211yesmaximal, characteristic, complemented
18#21434080C211yesmaximal, characteristic, complemented
19#21434069C211yesmaximal, characteristic, complemented
20#21433913C211yesmaximal, characteristic, complemented
21#478×D59C211yesmaximal, characteristic, complemented
22#21433558C211yesmaximal, characteristic, complemented
23#21433548C211yesmaximal, characteristic, complemented
24#21433401C211yesmaximal, characteristic, complemented
25#21433395C211yesmaximal, characteristic, complemented
26#21432978C211yesmaximal, characteristic, complemented
27#21432968C211yesmaximal, characteristic, complemented
28#21432927C211yesmaximal, characteristic, complemented
29#21432925C211yesmaximal, characteristic, complemented
30#21432763C211yesmaximal, characteristic, complemented
31C59×#3114C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C2×#14273754C2211yescharacteristic
34C2×#14273751C2211yescharacteristic
35C2×#14273748C2211yescharacteristic
36C2×#14273746C2211yescharacteristic
37#16838103—21no—
38#16838102—21no—
39#16838101—21no—
40#16838097—21no—
41#16838097—21no—
42#16838096—21no—
43#16838088—21no—
44#16838085—21no—
45#16838012C2211yescharacteristic, complemented
46#16838010C2211yescharacteristic, complemented
47#16838005C2211yescharacteristic, complemented
48#16838003C2211yescharacteristic, complemented
49#16837982C2211yescharacteristic
50#16837981C2211yescharacteristic
51#16837951C2211yescharacteristic, complemented
52#16837937C2211yescharacteristic, complemented
53#16837936C2211yescharacteristic, complemented
54#16837931C2211yescharacteristic, complemented
55#125×D59C2211yescharacteristic, complemented
56#16837884C2211yescharacteristic, complemented
57#16837883C2211yescharacteristic
58#16837883C2211yescharacteristic
59#16837881—21no—
60#16837881C2211yescharacteristic
61#16837881C2211yescharacteristic
62#16837881C2211yescharacteristic, complemented
63#16837877C2211yescharacteristic
64#16837875—21no—
65#16837875—21no—
66#16837874—21no—
67#16837874C2211yescharacteristic
68#16837874C2211yescharacteristic
69C4×#11745685C2211yescharacteristic
70C4×#11745685C2211yescharacteristic
71C4×#11745687—21no—
72C4×#11745687C2211yescharacteristic
73C4×#11745687C2211yescharacteristic
74C2×C4×C22⋊D59—21no—
75C2×C4×C22⋊D59—21no—
76C4×D4×D59—21no—
77C4×D4×D59C2211yescharacteristic
78C4×D4×D59C2211yescharacteristic
79#16837745C2211yescharacteristic, complemented
80#16837744C2211yescharacteristic, complemented
81#16837742C2211yescharacteristic, complemented
82#16837740C2211yescharacteristic, complemented
83#16837739C2211yescharacteristic, complemented
84#16837737C2211yescharacteristic, complemented
85#16837731C2211yescharacteristic, complemented
86#16837728C2211yescharacteristic, complemented
87#16837727C2211yescharacteristic, complemented
88#16837725C2211yescharacteristic, complemented
89#16837723C2211yescharacteristic, complemented
90#16837722C2211yescharacteristic, complemented
91#16837720C2211yescharacteristic, complemented
92#16837714C2211yescharacteristic, complemented
93#16837712C2211yescharacteristic, complemented
94#16837710C2211yescharacteristic, complemented
95#16837708C2211yescharacteristic, complemented
96#16837706C2211yescharacteristic, complemented
97#16837705C2211yescharacteristic, complemented
98#16837704C2211yescharacteristic, complemented
99#16837704C2211yescharacteristic, complemented
100#16837703C2211yescharacteristic, complemented
101#16837702C2211yescharacteristic, complemented
102#16837702C2211yescharacteristic, complemented
103#16837701C2211yescharacteristic, complemented
104#16837700C2211yescharacteristic, complemented
105#16837700C2211yescharacteristic, complemented
106#16837699C2211yescharacteristic, complemented
107#16837625C2211yescharacteristic, complemented
108#16837621C2211yescharacteristic, complemented
109#16837618C2211yescharacteristic, complemented
110#16837617C2211yescharacteristic, complemented
111#16837617C2211yescharacteristic, complemented
112#16837614C2211yescharacteristic, complemented
113#16837611C2211yescharacteristic, complemented
114#16837606C2211yescharacteristic, complemented
115#16837605C2211yescharacteristic, complemented
116#16837605C2211yescharacteristic, complemented
117#16837601C2211yescharacteristic, complemented
118#16837596C2211yescharacteristic, complemented
119#16837595C2211yescharacteristic, complemented
120#16837595C2211yescharacteristic, complemented
121#16837566C2211yescharacteristic
122#16837565C2211yescharacteristic
123#16837562C2211yescharacteristic
124#16837561C2211yescharacteristic
125#16837554C2211yescharacteristic
126#16837553C2211yescharacteristic
127#16837551C2211yescharacteristic
128#16837549C2211yescharacteristic
129#16837548C2211yescharacteristic
130#16837545C2211yescharacteristic
131#16837544C2211yescharacteristic
132#16837537C2211yescharacteristic
133#16837536C2211yescharacteristic
134#16837534C2211yescharacteristic
135#16837515C2211yescharacteristic, complemented
136#16837514C2211yescharacteristic, complemented
137#16837511C2211yescharacteristic, complemented
138#16837511C2211yescharacteristic, complemented
139#16837510C2211yescharacteristic, complemented
140#16837508C2211yescharacteristic, complemented
141#16837505C2211yescharacteristic, complemented
142#16837504C2211yescharacteristic, complemented
143#16837504C2211yescharacteristic, complemented
144#16837503C2211yescharacteristic, complemented
145#16837501C2211yescharacteristic, complemented
146#16837499C2211yescharacteristic, complemented
147C4×#11745672C2211yescharacteristic, complemented
148#16837494C2211yescharacteristic, complemented
149#16837493C2211yescharacteristic, complemented
150#16837493C2211yescharacteristic, complemented
151SD16×Dic59C2211yescharacteristic, complemented
152C4×#11745671C2211yescharacteristic, complemented
153#16837489C2211yescharacteristic, complemented
154C4×#11745670C2211yescharacteristic, complemented
155C4×#11745670C2211yescharacteristic, complemented
156C4×#11745670C2211yescharacteristic, complemented
157D8×Dic59C2211yescharacteristic, complemented
158#16837484C2211yescharacteristic, complemented
159C4×#11745669C2211yescharacteristic, complemented
160C4×#11745669C2211yescharacteristic, complemented
161C4×#11745669C2211yescharacteristic, complemented
162#16837482C2211yescharacteristic, complemented
163#16837464C2211yescharacteristic, complemented
164#16837464C2211yescharacteristic, complemented
165#16837460C2211yescharacteristic, complemented
166#16837460C2211yescharacteristic, complemented
167#16837458C2211yescharacteristic, complemented
168#16837455C2211yescharacteristic, complemented
169#16837454C2211yescharacteristic, complemented
170#16837443C2211yescharacteristic, complemented
171#16837441C2211yescharacteristic, complemented
172#107×D59C2211yescharacteristic, complemented
173#106×D59C2211yescharacteristic, complemented
174#16837424C2211yescharacteristic, complemented
175C4⋊C8×D59C2211yescharacteristic, complemented
176#16837402C2211yescharacteristic, complemented
177#16837400C2211yescharacteristic
178#16837400C2211yescharacteristic
179#16837400C2211yescharacteristic, complemented
180#16837397C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic
183#102×D59C2211yescharacteristic
184#16837367C2211yescharacteristic
185#16837367C2211yescharacteristic
186#16837359C2211yescharacteristic, complemented
187#16837359C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic, complemented
189C2×C4×D4×C59C2211yescharacteristic
190C59×#483C2211yescharacteristic, complemented
191C59×#480C2211yescharacteristic, complemented
192C59×#478C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#450C2211yescharacteristic
197C59×#447C2211yescharacteristic
198C59×#442C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#440C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#432C2211yescharacteristic, complemented
203#14273772—24no—
204#14273772—24no—
205C2×#11745689C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×#11745687—21no—
209C2×#11745687C2311yescharacteristic
210C2×#11745687C2311yescharacteristic
211C2×#11745687C2311yescharacteristic
212C22×C22⋊D59—21no—
213C22×C22⋊D59—21no—
214C2×D4×D59—21no—
215C2×D4×D59C2311yescharacteristic
216C2×D4×D59C2311yescharacteristic
217C22×C4×D59—21no—
218C22×C4×D59—21no—
219#14273754—24no—
220#14273751—24no—
221#14273748—24no—
222#14273746—24no—
223C2×Dic236C2311yescharacteristic
224C2×#11745672C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×D472C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745659C2311yescharacteristic
236C2×#11745659C2311yescharacteristic
237C2×C8×D59C2311yescharacteristic
238C2×C8×D59C2311yescharacteristic
239#14273725C2311yescharacteristic
240#14273723C2311yescharacteristic
241#14273722—21no—
242#14273722—21no—
243#14273721—21no—
244#14273721—21no—
245#14273720—21no—
246#14273720—21no—
247#14273720—21no—
248#14273719—21no—
249#14273719C2311yescharacteristic
250#14273718—21no—
251#14273718C2311yescharacteristic
252#14273718C2311yescharacteristic
253#14273717—21no—
254#14273717—21no—
255#14273717—21no—
256#14273717—21no—
257#14273715C2311yescharacteristic
258#14273712—21no—
259#14273711—21no—
260#14273710—21no—
261#14273710—21no—
262#14273709—21no—
263#14273709—21no—
264#14273709—21no—
265#14273707C2311yescharacteristic
266#14273706C2311yescharacteristic
267#14273705—21no—
268#14273704—21no—
269#14273703C2311yescharacteristic
270#14273702—21no—
271#14273702C2311yescharacteristic
272#14273701—21no—
273#14273701C2311yescharacteristic
274#14273700—21no—
275#14273700—21no—
276#14273700—21no—
277#14273700—21no—
278#14273700—21no—
279#14273700—21no—
280#14273699—21no—
281#14273699—21no—
282#14273698—21no—
283#14273698—21no—
284#14273698C2311yescharacteristic
285Q8×Dic59C2311yescharacteristic
286C4×Dic118D411yescharacteristic
287C4×Dic118D411yescharacteristic
288C4×Dic118C2311yescharacteristic
289C4×Dic118C2311yescharacteristic
290C4×Dic118C2311yescharacteristic
291#14273692—21no—
292#14273692C2311yescharacteristic
293#14273692C2311yescharacteristic
294#14273692C2311yescharacteristic
295C4×D236—21no—
296C4×D236D411yescharacteristic
297C4×D236D411yescharacteristic
298C4×D236C2311yescharacteristic
299C4×D236C2311yescharacteristic
300C4×D236C2311yescharacteristic
301D4×Dic59—21no—
302D4×Dic59—21no—
303D4×Dic59C2311yescharacteristic
304D4×Dic59C2311yescharacteristic
305D4×Dic59C2311yescharacteristic
306D4×Dic59C2311yescharacteristic
307D4×Dic59C2311yescharacteristic
308#14273689—21no—
309#14273689—21no—
310#14273689—21no—
311#14273689C2311yescharacteristic
312#14273689C2311yescharacteristic
313#14273689C2311yescharacteristic
314C4×C22⋊D59—21no—
315C4×C22⋊D59—21no—
316C4×C22⋊D59—21no—
317C4×C22⋊D59—21no—
318C4×C22⋊D59—21no—
319C4×C22⋊D59—21no—
320C4×C22⋊D59—21no—
321C4×C22⋊D59—21no—
322C4×C22⋊D59—21no—
323C4×C22⋊D59—21no—
324C4×C22⋊D59—21no—
325C4×C22⋊D59—21no—
326C4×C22⋊D59—21no—
327C4×C22⋊D59—21no—
328C4×C22⋊D59—21no—
329C4×C22⋊D59—21no—
330C4×C22⋊D59D411yescharacteristic
331C4×C22⋊D59D411yescharacteristic
332C4×C22⋊D59D411yescharacteristic
333C4×C22⋊D59D411yescharacteristic
334(C22⋊D59)⋊C4—21no—
335(C22⋊D59)⋊C4—21no—
336(C22⋊D59)⋊C4—21no—
337(C22⋊D59)⋊C4—21no—
338(C22⋊D59)⋊C4—21no—
339(C22⋊D59)⋊C4—21no—
340(C22⋊D59)⋊C4—21no—
341(C22⋊D59)⋊C4—21no—
342(C22⋊D59)⋊C4—21no—
343(C22⋊D59)⋊C4—21no—
344(C22⋊D59)⋊C4—21no—
345(C22⋊D59)⋊C4—21no—
346#14273686C2311yescharacteristic
347#14273686C2311yescharacteristic
348#14273685—21no—
349#14273685—21no—
350#14273685C2311yescharacteristic
351#14273685C2311yescharacteristic
352#14273684—21no—
353#14273684—21no—
354#14273684—21no—
355#14273684C2311yescharacteristic
356#14273684C2311yescharacteristic
357#14273683—21no—
358#14273683—21no—
359#14273683—21no—
360#14273683—21no—
361#14273683—21no—
362#14273683—21no—
363C2×Dic59⋊C4—21no—
364C2×Dic59⋊C4—21no—
365C2×Dic59⋊C4—21no—
366C4⋊C4×D59—21no—
367C4⋊C4×D59—21no—
368C4⋊C4×D59—21no—
369C4⋊C4×D59—21no—
370C4⋊C4×D59C2311yescharacteristic
371C4⋊C4×D59C2311yescharacteristic
372C4⋊C4×D59C2311yescharacteristic
373C4⋊C4×D59C2311yescharacteristic
374C2×C22⋊Dic59—21no—
375C2×C22⋊Dic59—21no—
376C2×(C2×D59)⋊C4—21no—
377C2×(C2×D59)⋊C4—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C2×C4×Dic59—21no—
383C2×C4×Dic59—21no—
384C42×D59—21no—
385C42×D59C2311yescharacteristic
386C42×D59C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273659C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399C4⋊(C59⋊C8)C2311yescharacteristic
400C4⋊(C59⋊C8)C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429C22⋊(C59⋊C8)C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C4×C59⋊C8C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C22×D4×C59C2311yescharacteristic
442C23×C4×C59—21no—
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C2×D8×C59C2311yescharacteristic
447#126×C59—21no—
448#125×C59C2311yescharacteristic
449#124×C59C2311yescharacteristic
450#123×C59—21no—
451C22⋊Q8×C59C2311yescharacteristic
452#121×C59C2311yescharacteristic
453C4×Q8×C59C2311yescharacteristic
454C4×D4×C59—21no—
455C4×D4×C59—21no—
456C4×D4×C59—21no—
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462#117×C59—21no—
463C2×C4⋊C4×C59C2311yescharacteristic
464C2×C22⋊C4×C59—21no—
465C2×C42×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C2×Q8×C59C2411yescharacteristic
488C2×D4×C59—22no—
489C2×D4×C59—22no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59C2411yescharacteristic
493C2×D4×C59C2411yescharacteristic
494C2×D4×C59C2411yescharacteristic
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—82no—
502C22×C4×C59C2×D411yescharacteristic
503C22×C4×C59C2×D411yescharacteristic
504C22×C4×C59C2411yescharacteristic
505C2×C22⋊D59—28no—
506C2×C22⋊D59—28no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59C2×D411yescharacteristic
518C2×C22⋊D59C2×D411yescharacteristic
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527#11745689—22no—
528#11745689—22no—
529#11745687—28no—
530#11745687—22no—
531#11745687—22no—
532#11745687—22no—
533#11745687—22no—
534#11745687—22no—
535#11745687#4114yes—
536D4×D59—28no—
537D4×D59—22no—
538D4×D59—22no—
539D4×D59—22no—
540D4×D59#4114yes—
541#11745685—22no—
542#11745685—22no—
543#11745685—22no—
544#11745685—22no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236C2×D411yescharacteristic
548C2×D236C2411yescharacteristic
549C2×D236C2411yescharacteristic
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—82no—
563C2×C4×D59—82no—
564C2×C4×D59C2×D411yescharacteristic
565C2×C4×D59C2×D411yescharacteristic
566C2×C4×D59C2×D411yescharacteristic
567C2×C4×D59C2×D411yescharacteristic
568C2×C4×D59C2411yescharacteristic
569C2×C4×D59C2411yescharacteristic
570C2×Dic118C2×D411yescharacteristic
571C2×Dic118C2411yescharacteristic
572C2×Dic118C2411yescharacteristic
573SD16×C59—22no—
574SD16×C59—22no—
575D8×C59—22no—
576D8×C59—22no—
577C2×C8×C59C2411yescharacteristic
578C2×C8×C59C2411yescharacteristic
579C2×C8×C59C2411yescharacteristic
580C2×C8×C59C2411yescharacteristic
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59—21no—
585C4⋊C4×C59—21no—
586C4⋊C4×C59C2411yescharacteristic
587C4⋊C4×C59C2411yescharacteristic
588C4⋊C4×C59C2411yescharacteristic
589C4⋊C4×C59C2411yescharacteristic
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
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—
599C42×C59—21no—
600C42×C59C2×D411yescharacteristic
601C42×C59C2×D411yescharacteristic
602C42×C59C2411yescharacteristic
603C42×C59C2411yescharacteristic
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59C2×D411yescharacteristic
613C22⋊Dic59C2×D411yescharacteristic
614#11745672—22no—
615#11745671—22no—
616#11745670—22no—
617#11745670—22no—
618#11745670—22no—
619#11745669—22no—
620#11745669—22no—
621#11745669—22no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4C2×D411yescharacteristic
637(C2×D59)⋊C4C2×D411yescharacteristic
638(C2×D59)⋊C4C2×D411yescharacteristic
639(C2×D59)⋊C4C2×D411yescharacteristic
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59—21no—
644C4⋊Dic59C2×D411yescharacteristic
645C4⋊Dic59C2×D411yescharacteristic
646C4⋊Dic59C2411yescharacteristic
647C4⋊Dic59C2411yescharacteristic
648C4⋊Dic59C2411yescharacteristic
649C4⋊Dic59C2411yescharacteristic
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4C2×D411yescharacteristic
669Dic59⋊C4C2×D411yescharacteristic
670Dic59⋊C4C2×D411yescharacteristic
671Dic59⋊C4C2×D411yescharacteristic
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59C2×D411yescharacteristic
683C4×Dic59C2×D411yescharacteristic
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2411yescharacteristic
687C4×Dic59C2411yescharacteristic
688C2×C59⋊C8C2411yescharacteristic
689C2×C59⋊C8C2411yescharacteristic
690C2×C59⋊C8C2411yescharacteristic
691C2×C59⋊C8C2411yescharacteristic
692Dic236—22no—
693D472—22no—
694#11745660—22no—
695#11745660—22no—
696#11745659—22no—
697#11745659—22no—
698C8×D59—22no—
699C8×D59—22no—
700C23×C59—24no—
701C23×C59—21no—
702C23×C59—21no—
703C23×C59—21no—
704C23×C59—81no—
705C23×C59—81no—
706C23×C59C22×D411yescharacteristic
707C22×D59—21no—
708C22×D59—24no—
709C22×D59—24no—
710C22×D59—21no—
711C22×D59—81no—
712C22×D59—81no—
713C22×D59—81no—
714C22×D59—81no—
715C22×D59C22×D411yescharacteristic
716C22×D59C22×D411yescharacteristic
717Q8×C59—21no—
718Q8×C59—21no—
719D4×C59—24no—
720D4×C59—21no—
721D4×C59—21no—
722D4×C59—21no—
723D4×C59—21no—
724D4×C59—81no—
725D4×C59C2×#4112yes—
726D4×C59C2×#4112yes—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—41no—
735C2×C4×C59—41no—
736C2×C4×C59—42no—
737C2×C4×C59—42no—
738C2×C4×C59—81no—
739C2×C4×C59—81no—
740C2×C4×C59—81no—
741C2×C4×C59—81no—
742C2×C4×C59C22×D411yescharacteristic
743C2×C4×C59C22×D411yescharacteristic
744C2×C4×C59C22×D411yescharacteristic
745C2×C4×C59C22×D411yescharacteristic
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C2511yescharacteristic
748C22⋊D59—24no—
749C22⋊D59—24no—
750C22⋊D59—24no—
751C22⋊D59—22no—
752C22⋊D59—24no—
753C22⋊D59—22no—
754C22⋊D59—24no—
755C22⋊D59—42no—
756C22⋊D59—81no—
757C22⋊D59—81no—
758C22⋊D59—81no—
759C22⋊D59—81no—
760C2×Dic59—24no—
761C2×Dic59—21no—
762C2×Dic59—24no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—42no—
769C2×Dic59—81no—
770C2×Dic59—81no—
771C2×Dic59—81no—
772C2×Dic59—81no—
773C2×Dic59—81no—
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780D236—22no—
781D236—21no—
782D236—21no—
783D236—21no—
784D236—42no—
785D236—81no—
786D236C2×#4112yes—
787C4×D59—24no—
788C4×D59—21no—
789C4×D59—21no—
790C4×D59—41no—
791C4×D59—41no—
792C4×D59—41no—
793C4×D59—41no—
794C4×D59—42no—
795C4×D59—42no—
796C4×D59—81no—
797C4×D59—81no—
798C4×D59—81no—
799C4×D59—81no—
800C4×D59—81no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59C2×#4112yes—
806C4×D59C2×#4112yes—
807Dic118—21no—
808Dic118—22no—
809Dic118—21no—
810Dic118—21no—
811Dic118C2×#4112yes—
812C8×C59—21no—
813C8×C59—21no—
814C8×C59—21no—
815C8×C59—21no—
816C59⋊C8—21no—
817C59⋊C8—21no—
818C59⋊C8—21no—
819C59⋊C8—21no—
820#60601—591nomaximal, Sylow
821C22×C59—21no—
822C22×C59—21no—
823C22×C59—22no—
824C22×C59—22no—
825C22×C59—21no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—84no—
834C22×C59C23×D411yescharacteristic
835C2×D59—21no—
836C2×D59—21no—
837C2×D59—21no—
838C2×D59—21no—
839C2×D59—21no—
840C2×D59—22no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—84no—
847C2×D59—84no—
848C2×D59#52512yes—
849C4×C59—21no—
850C4×C59—21no—
851C4×C59—21no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—41no—
855C4×C59—41no—
856C4×C59—41no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59C22×#4111yescharacteristic
860C4×C59C22×#4111yescharacteristic
861Dic59—21no—
862Dic59—21no—
863Dic59—21no—
864Dic59—21no—
865Dic59—21no—
866Dic59—22no—
867Dic59—41no—
868Dic59—41no—
869Dic59—41no—
870Dic59—41no—
871Dic59—41no—
872Dic59#52512yes—
873#3512—591no—
874C4×H(5,𝔽2)—591no—
875#3123—591no—
876#3123—591no—
877#3122—591no—
878#3122—591no—
879#3120—591no—
880#3120—591no—
881#3119—591no—
882#3119—591no—
883#3114—591no—
884#3114D5911yescharacteristic, complemented
885#3111—591no—
886#3111—591no—
887#3105—591no—
888#3105—591no—
889#3102—591no—
890#3102—591no—
891#3099—591no—
892#3098—591no—
893#3080—591no—
894C2×#478—591no—
895#3036—591no—
896#3035—591no—
897#3012—591no—
898#3012—591no—
899#2952—591no—
900#2951—591no—
901#2946—591no—
902#2946—591no—
903#2925—591no—
904C2×C59—42no—
905C2×C59—42no—
906C2×C59—41no—
907C2×C59—81no—
908C2×C59C2×#52511yescharacteristic
909C2×C59#358411yescharacteristic
910C2×C59#358511yescharacteristic
911D59—22no—
912D59—41no—
913D59—42no—
914D59—81no—
915C2×H(5,𝔽2)—591no—
916C2×AGL(1,ℤ/8)—591no—
917C2×AGL(1,ℤ/8)—591no—
918C2×#135—591no—
919C2×#135—591no—
920#553—1181no—
921#553—1181no—
922#553—1181no—
923#553—1181no—
924#553—1181no—
925#553—1181no—
926#552—1181no—
927#552—1181no—
928#541—591no—
929#541—591no—
930#540—591no—
931#540—591no—
932#537—591no—
933#537—591no—
934#532—591no—
935#529—591no—
936#529—591no—
937#529—591no—
938#529C2×D5911yescharacteristic, complemented
939C2×#125—591no—
940#520—591no—
941#520—591no—
942#520—591no—
943#520—591no—
944#520—591no—
945#520—591no—
946#520—1181no—
947#518—591no—
948#518—591no—
949#518—591no—
950#518—1181no—
951#518—1181no—
952#518—1181no—
953C4×#41—591no—
954C4×#41—591no—
955C4×#41—591no—
956C4×#41—591no—
957C4×#41—1181no—
958C2×C4×D4—591no—
959C2×C4×D4—591no—
960C2×C4×D4—1181no—
961C2×C4×D4—1181no—
962C2×C4×D4—1181no—
963C2×C4×D4C2×D5911yescharacteristic
964#485—591no—
965#485—591no—
966#485—591no—
967#485—591no—
968#484—591no—
969#484—591no—
970#483—591no—
971#483C2×D5911yescharacteristic, complemented
972#482—591no—
973#482—591no—
974#482—591no—
975#482—591no—
976#481—591no—
977#481—591no—
978#480—591no—
979#480C2×D5911yescharacteristic, complemented
980#479—591no—
981#479—591no—
982#479—591no—
983#479—591no—
984#478—591no—
985#478—591no—
986#478—591no—
987#478—591no—
988#478—591no—
989#478—591no—
990#478—591no—
991#478—591no—
992#478—591no—
993#478—591no—
994#478C2×D5911yescharacteristic, complemented
995#478C2×D5911yescharacteristic, complemented
996#464—591no—
997#464—591no—
998#463—591no—
999#463—591no—
1000#463—591no—
1001#463—591no—
1002#463C2×D5911yescharacteristic, complemented
1003#463C2×D5911yescharacteristic, complemented
1004#462—591no—
1005#461—591no—
1006#461—591no—
1007#461—591no—
1008#460—591no—
1009#459—591no—
1010#459—591no—
1011#459—591no—
1012#452—591no—
1013#452—591no—
1014#452—591no—
1015#452—591no—
1016#450—591no—
1017#450—591no—
1018#450—591no—
1019#450C2×D5911yescharacteristic
1020#449—591no—
1021#449—591no—
1022#449—591no—
1023#449—591no—
1024#447—591no—
1025#447—591no—
1026#447—591no—
1027#447C2×D5911yescharacteristic
1028#442—591no—
1029#442—591no—
1030#442—591no—
1031#442—591no—
1032#442C2×D5911yescharacteristic, complemented
1033#442C2×D5911yescharacteristic, complemented
1034#441—591no—
1035#441—591no—
1036#440—591no—
1037#440—591no—
1038#440—591no—
1039#440—591no—
1040#440—591no—
1041#440—591no—
1042#440C2×D5911yescharacteristic, complemented
1043#440C2×D5911yescharacteristic, complemented
1044C4×Q16—591no—
1045C4×Q16—591no—
1046C4×SD16—591no—
1047C4×SD16—591no—
1048C4×SD16—591no—
1049C4×SD16—591no—
1050C4×SD16—591no—
1051C4×SD16—591no—
1052C4×SD16—591no—
1053C4×SD16—591no—
1054C4×D8—591no—
1055C4×D8—591no—
1056C4×D8—591no—
1057C4×D8—591no—
1058C4×D8—591no—
1059C4×D8—591no—
1060#433—591no—
1061#433—591no—
1062#433—591no—
1063#433—591no—
1064#432—591no—
1065#432C2×D5911yescharacteristic, complemented
1066#431—591no—
1067#431—591no—
1068#428—591no—
1069#428—591no—
1070C2×#107—591no—
1071C2×#106—591no—
1072#423—591no—
1073C2×C4⋊C8—591no—
1074#417—591no—
1075#417—591no—
1076#417—591no—
1077#417—591no—
1078#416—591no—
1079#416—591no—
1080C2×#102—591no—
1081C2×#102—591no—
1082#408—591no—
1083#408—591no—
1084#405—591no—
1085#405—591no—
1086C59#6060111yescharacteristic, complemented, Sylow
1087H(5,𝔽2)—1184no—
1088H(5,𝔽2)—1184no—
1089C2×#41—591no—
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—591no—
1094C2×#41—591no—
1095C2×#41—1181no—
1096C22×D4—591no—
1097C22×D4—591no—
1098C22×D4—1181no—
1099C22×D4—1181no—
1100C22×D4—1181no—
1101C22×D4C22×D5911yescharacteristic
1102C23×C4—21no—
1103C23×C4—1181no—
1104C23×C4—1181no—
1105AGL(1,ℤ/8)—1184no—
1106AGL(1,ℤ/8)—1184no—
1107#135—1184no—
1108#135—1184no—
1109C2×Q16—591no—
1110C2×Q16—591no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16C22×D5911yescharacteristic
1118C2×SD16C22×D5911yescharacteristic
1119C2×D8—591no—
1120C2×D8—591no—
1121C2×D8—591no—
1122C2×D8—591no—
1123C2×D8C22×D5911yescharacteristic
1124C2×D8C22×D5911yescharacteristic
1125C2×M16—591no—
1126C2×M16—591no—
1127C22×C8—591no—
1128C22×C8—591no—
1129C4⋊Q8—591no—
1130#127—591no—
1131#126—21no—
1132#126—1181no—
1133#126—1181no—
1134#126—1181no—
1135#126—1181no—
1136#126—1181no—
1137#126—1181no—
1138#126—1181no—
1139#125—591no—
1140#125—591no—
1141#125—591no—
1142#125—1181no—
1143#125—1181no—
1144#125—1181no—
1145#125—1181no—
1146#125—1181no—
1147#125—1181no—
1148#125C22×D5911yescharacteristic
1149#124—591no—
1150#124C22×D5911yescharacteristic
1151#123—21no—
1152#123—1181no—
1153#123—1181no—
1154#123—1181no—
1155#123—1181no—
1156#123—1181no—
1157#123—1181no—
1158#123—1181no—
1159C22⋊Q8—591no—
1160C22⋊Q8—591no—
1161C22⋊Q8—591no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8C22×D5911yescharacteristic
1165#121—591no—
1166#121—591no—
1167#121—591no—
1168#121—1181no—
1169#121—1181no—
1170#121—1181no—
1171#121—1181no—
1172#121—1181no—
1173#121—1181no—
1174#121—1181no—
1175#121—1181no—
1176#121—1181no—
1177#121—1181no—
1178#121—1181no—
1179#121—1181no—
1180#121C22×D5911yescharacteristic
1181C4×Q8—591no—
1182C4×Q8—591no—
1183C4×Q8—591no—
1184C4×Q8—591no—
1185C4×Q8—591no—
1186C4×Q8—591no—
1187C4×Q8—591no—
1188C4×Q8—591no—
1189C4×Q8—591no—
1190C4×Q8—1181no—
1191C4×Q8C22×D5911yescharacteristic
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—591no—
1196C4×D4—591no—
1197C4×D4—591no—
1198C4×D4—591no—
1199C4×D4—591no—
1200C4×D4—591no—
1201C4×D4—591no—
1202C4×D4—591no—
1203C4×D4—591no—
1204C4×D4—591no—
1205C4×D4—591no—
1206C4×D4—591no—
1207C4×D4—591no—
1208C4×D4—591no—
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—1181no—
1213C4×D4—1181no—
1214C4×D4—1181no—
1215C4×D4—1181no—
1216C4×D4—1181no—
1217C4×D4—1181no—
1218C4×D4—1181no—
1219C4×D4—1181no—
1220C4×D4—1181no—
1221C4×D4—1181no—
1222C4×D4—1181no—
1223C4×D4—1181no—
1224C4×D4—1181no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4—1181no—
1244C4×D4—1181no—
1245C4×D4—1181no—
1246C4×D4C22×D5911yescharacteristic
1247C4×D4C22×D5911yescharacteristic
1248C4×D4C22×D5911yescharacteristic
1249C4×D4C22×D5911yescharacteristic
1250C4×D4C22×D5911yescharacteristic
1251#117—21no—
1252#117—591no—
1253#117—591no—
1254#117—591no—
1255#117—591no—
1256#117—591no—
1257#117—591no—
1258#117—1181no—
1259#117—1181no—
1260#117—1181no—
1261#117—1181no—
1262#117—1181no—
1263#117—1181no—
1264#117—1181no—
1265#117—1181no—
1266#117—1181no—
1267#117—1181no—
1268#117—1181no—
1269C2×C4⋊C4—591no—
1270C2×C4⋊C4—591no—
1271C2×C4⋊C4—591no—
1272C2×C4⋊C4—591no—
1273C2×C4⋊C4—1181no—
1274C2×C4⋊C4—1181no—
1275C2×C4⋊C4—1181no—
1276C2×C4⋊C4—1181no—
1277C2×C4⋊C4—1181no—
1278C2×C4⋊C4—1181no—
1279C2×C4⋊C4—1181no—
1280C2×C4⋊C4C22×D5911yescharacteristic
1281C2×C22⋊C4—21no—
1282C2×C22⋊C4—1181no—
1283C2×C22⋊C4—1181no—
1284C2×C22⋊C4—1181no—
1285C2×C22⋊C4—1181no—
1286C2×C22⋊C4—1181no—
1287C2×C22⋊C4—1181no—
1288C2×C22⋊C4—1181no—
1289C2×C22⋊C4—1181no—
1290C2×C42—591no—
1291C2×C42—591no—
1292C2×C42—1181no—
1293C2×C42—1181no—
1294C2×C42—1181no—
1295C2×C42C22×D5911yescharacteristic
1296#107—591no—
1297#107—591no—
1298#107—591no—
1299#107—591no—
1300#107—591no—
1301#107—591no—
1302#107C22×D5911yescharacteristic
1303#107C22×D5911yescharacteristic
1304#106—591no—
1305#106—591no—
1306#106—591no—
1307#106—591no—
1308#106—591no—
1309#106—591no—
1310#106C22×D5911yescharacteristic
1311#106C22×D5911yescharacteristic
1312C4⋊C8—591no—
1313C4⋊C8—591no—
1314C4⋊C8—591no—
1315C4⋊C8—591no—
1316C4⋊C8—591no—
1317C4⋊C8—591no—
1318C4⋊C8C22×D5911yescharacteristic
1319C4⋊C8C22×D5911yescharacteristic
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#103C22×D5911yescharacteristic
1331#103C22×D5911yescharacteristic
1332#102—591no—
1333#102—591no—
1334#102—591no—
1335#102—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#102C22×D5911yescharacteristic
1347#102C22×D5911yescharacteristic
1348#102C22×D5911yescharacteristic
1349#102C22×D5911yescharacteristic
1350#102C22×D5911yescharacteristic
1351#102C22×D5911yescharacteristic
1352C22⋊C8—591no—
1353C22⋊C8—591no—
1354C22⋊C8—591no—
1355C22⋊C8—591no—
1356C22⋊C8—591no—
1357C22⋊C8—591no—
1358C22⋊C8C22×D5911yescharacteristic
1359C22⋊C8C22×D5911yescharacteristic
1360#97—591no—
1361#97—591no—
1362#97C22×D5911yescharacteristic
1363#97C22×D5911yescharacteristic
1364C4×C8—591no—
1365C4×C8—591no—
1366C4×C8—591no—
1367C4×C8—591no—
1368C24—21no—
1369C24—1181no—
1370C24—1181no—
1371#41—594no—
1372#41—1182no—
1373#41—1182no—
1374#41—1182no—
1375#41—1182no—
1376#41—1182no—
1377#41—1182no—
1378#41—1182no—
1379#41—1182no—
1380#41—1182no—
1381#41—1182no—
1382#41—1188no—
1383#41—1182no—
1384C2×Q8—591no—
1385C2×Q8—591no—
1386C2×Q8—591no—
1387C2×Q8C23×D5911yescharacteristic
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—594no—
1393C2×D4—591no—
1394C2×D4—591no—
1395C2×D4—591no—
1396C2×D4—591no—
1397C2×D4—591no—
1398C2×D4—1181no—
1399C2×D4—1181no—
1400C2×D4—1182no—
1401C2×D4—1181no—
1402C2×D4—1181no—
1403C2×D4—1181no—
1404C2×D4—1181no—
1405C2×D4—1182no—
1406C2×D4—1188no—
1407C2×D4—1181no—
1408C2×D4—1181no—
1409C2×D4—1188no—
1410C2×D4—1188no—
1411C2×D4—1181no—
1412C2×D4—1182no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4C23×D5911yescharacteristic
1417C2×D4C23×D5911yescharacteristic
1418C2×D4C23×D5911yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—82no—
1426C22×C4—591no—
1427C22×C4—591no—
1428C22×C4—591no—
1429C22×C4—591no—
1430C22×C4—591no—
1431C22×C4—591no—
1432C22×C4—1181no—
1433C22×C4—1181no—
1434C22×C4—1181no—
1435C22×C4—1181no—
1436C22×C4—1181no—
1437C22×C4—1181no—
1438C22×C4—1181no—
1439C22×C4—1181no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—1181no—
1452C22×C4—4722no—
1453C22×C4—4722no—
1454C22×C4D4×D5911yescharacteristic
1455C22×C4D4×D5911yescharacteristic
1456C22×C4C23×D5911yescharacteristic
1457Q16—1182no—
1458Q16—1182no—
1459SD16—22no—
1460SD16—22no—
1461SD16—1182no—
1462SD16—1182no—
1463SD16—1182no—
1464SD16—1182no—
1465SD16—1182no—
1466SD16—1182no—
1467D8—22no—
1468D8—22no—
1469D8—1182no—
1470D8—1182no—
1471D8—1182no—
1472D8—1182no—
1473M16—1182no—
1474M16—1182no—
1475C2×C8—591no—
1476C2×C8—591no—
1477C2×C8—591no—
1478C2×C8—591no—
1479C2×C8—1182no—
1480C2×C8—1182no—
1481C2×C8C23×D5911yescharacteristic
1482C2×C8C23×D5911yescharacteristic
1483C2×C8C23×D5911yescharacteristic
1484C2×C8C23×D5911yescharacteristic
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—591no—
1491C4⋊C4—591no—
1492C4⋊C4—591no—
1493C4⋊C4—591no—
1494C4⋊C4—591no—
1495C4⋊C4—591no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
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⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4C23×D5911yescharacteristic
1523C4⋊C4C23×D5911yescharacteristic
1524C4⋊C4C23×D5911yescharacteristic
1525C4⋊C4C23×D5911yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—591no—
1536C22⋊C4—591no—
1537C22⋊C4—591no—
1538C22⋊C4—591no—
1539C22⋊C4—591no—
1540C22⋊C4—591no—
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⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C42—21no—
1564C42—591no—
1565C42—591no—
1566C42—591no—
1567C42—591no—
1568C42—591no—
1569C42—591no—
1570C42—1181no—
1571C42—1181no—
1572C42—1181no—
1573C42—1181no—
1574C42—1181no—
1575C42—1181no—
1576C42—1181no—
1577C42—1181no—
1578C42—1181no—
1579C42—1181no—
1580C42D4×D5911yescharacteristic
1581C42D4×D5911yescharacteristic
1582C42C23×D5911yescharacteristic
1583C42C23×D5911yescharacteristic
1584C23—24no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—81no—
1589C23—81no—
1590C23—591no—
1591C23—591no—
1592C23—1184no—
1593C23—1184no—
1594C23—1181no—
1595C23—1181no—
1596C23—4721no—
1597C23—4721no—
1598C23—4721no—
1599C23—4721no—
1600C23C2×D4×D5911yescharacteristic
1601Q8—21no—
1602Q8—21no—
1603Q8—592no—
1604Q8—1182no—
1605Q8—1181no—
1606Q8—1181no—
1607Q8—1181no—
1608D4—24no—
1609D4—21no—
1610D4—21no—
1611D4—21no—
1612D4—21no—
1613D4—81no—
1614D4—592no—
1615D4—1182no—
1616D4—1182no—
1617D4—1184no—
1618D4—1182no—
1619D4—1184no—
1620D4—1184no—
1621D4—1184no—
1622D4—1184no—
1623D4—1181no—
1624D4—1181no—
1625D4—1181no—
1626D4—4721no—
1627D4—4721no—
1628D4—4721no—
1629D4—4721no—
1630D4—4721no—
1631D4—2362no—
1632D4—2362no—
1633D4#41×D5912yes—
1634D4#41×D5912yes—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—42no—
1645C2×C4—42no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—591no—
1651C2×C4—592no—
1652C2×C4—592no—
1653C2×C4—591no—
1654C2×C4—591no—
1655C2×C4—591no—
1656C2×C4—591no—
1657C2×C4—591no—
1658C2×C4—1184no—
1659C2×C4—1184no—
1660C2×C4—1184no—
1661C2×C4—1181no—
1662C2×C4—1181no—
1663C2×C4—1181no—
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—4721no—
1676C2×C4—4721no—
1677C2×C4—4721no—
1678C2×C4—4721no—
1679C2×C4—4721no—
1680C2×C4—4721no—
1681C2×C4—4721no—
1682C2×C4—4721no—
1683C2×C4—2361no—
1684C2×C4—2361no—
1685C2×C4—2361no—
1686C2×C4—2361no—
1687C2×C4—2362no—
1688C2×C4—2362no—
1689C2×C4—2362no—
1690C2×C4C2×D4×D5911yescharacteristic
1691C2×C4C2×D4×D5911yescharacteristic
1692C2×C4C2×D4×D5911yescharacteristic
1693C2×C4C2×D4×D5911yescharacteristic
1694C2×C4C2×D4×D5911yescharacteristic
1695C2×C4C24×D5911yescharacteristic
1696C8—21no—
1697C8—21no—
1698C8—21no—
1699C8—21no—
1700C8—1181no—
1701C8—1181no—
1702C8—1181no—
1703C8—1181no—
1704C22—21no—
1705C22—22no—
1706C22—22no—
1707C22—21no—
1708C22—21no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—84no—
1717C22—592no—
1718C22—1181no—
1719C22—1181no—
1720C22—1182no—
1721C22—1181no—
1722C22—1181no—
1723C22—1181no—
1724C22—4724no—
1725C22—4724no—
1726C22—2361no—
1727C22—2361no—
1728C22—2361no—
1729C22—2361no—
1730C22—2361no—
1731C22C22×D4×D5911yescharacteristic
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—21no—
1736C4—21no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—592no—
1743C4—1181no—
1744C4—1182no—
1745C4—1181no—
1746C4—1181no—
1747C4—1181no—
1748C4—1181no—
1749C4—2361no—
1750C4—2361no—
1751C4—2361no—
1752C4—2361no—
1753C4—2361no—
1754C4C2×#41×D5911yescharacteristic
1755C4C2×#41×D5911yescharacteristic
1756C2—41no—
1757C2—42no—
1758C2—42no—
1759C2—81no—
1760C2—1182no—
1761C2—4721no—
1762C2—2361no—
1763C2—2362no—
1764C2#525×D5911yescharacteristic
1765C2#2143886911yescharacteristic
1766C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3114C2
socleC22×C59C23×D4
hypercenter#3114D59
hypocenterC59#60601
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3114

Complements

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

NH ≅ G/Ntype
1. #21438011C2semidirect
2. C4×#14273772C2semidirect
3. #21434347C2semidirect
4. #21434342C2semidirect
5. #21434338C2semidirect
6. #21434333C2semidirect
7. #21434314C2semidirect
8. #21434313C2semidirect
9. #21434299C2semidirect
10. #21434298C2semidirect
11. #21434233C2semidirect
12. #21434210C2semidirect
13. #21434207C2semidirect
14. #21434148C2semidirect
15. #21434143C2semidirect
16. #21434111C2semidirect
17. #21434108C2semidirect
18. #21434080C2semidirect
19. #21434069C2semidirect
20. #21433913C2semidirect
21. #478×D59C2semidirect
22. #21433558C2semidirect
23. #21433548C2semidirect
24. #21433401C2semidirect
25. #21433395C2semidirect
26. #21432978C2semidirect
27. #21432968C2semidirect
28. #21432927C2semidirect
29. #21432925C2semidirect
30. #21432763C2semidirect
31. C59×#3114C2semidirect
45. #16838012C22semidirect
46. #16838010C22semidirect
47. #16838005C22semidirect
48. #16838003C22semidirect
51. #16837951C22semidirect
52. #16837937C22semidirect
53. #16837936C22semidirect
54. #16837931C22semidirect
55. #125×D59C22semidirect
56. #16837884C22semidirect
62. #16837881C22semidirect
79. #16837745C22semidirect
80. #16837744C22semidirect
81. #16837742C22semidirect
82. #16837740C22semidirect
83. #16837739C22semidirect
84. #16837737C22semidirect
85. #16837731C22semidirect
86. #16837728C22semidirect
87. #16837727C22semidirect
88. #16837725C22semidirect
89. #16837723C22semidirect
90. #16837722C22semidirect
91. #16837720C22semidirect
92. #16837714C22semidirect
93. #16837712C22semidirect
94. #16837710C22semidirect
95. #16837708C22semidirect
96. #16837706C22semidirect
97. #16837705C22semidirect
98. #16837704C22semidirect
99. #16837704C22semidirect
100. #16837703C22semidirect
101. #16837702C22semidirect
102. #16837702C22semidirect
103. #16837701C22semidirect
104. #16837700C22semidirect
105. #16837700C22semidirect
106. #16837699C22semidirect
107. #16837625C22semidirect
108. #16837621C22semidirect
109. #16837618C22semidirect
110. #16837617C22semidirect
111. #16837617C22semidirect
112. #16837614C22semidirect
113. #16837611C22semidirect
114. #16837606C22semidirect
115. #16837605C22semidirect
116. #16837605C22semidirect
117. #16837601C22semidirect
118. #16837596C22semidirect
119. #16837595C22semidirect
120. #16837595C22semidirect
135. #16837515C22semidirect
136. #16837514C22semidirect
137. #16837511C22semidirect
138. #16837511C22semidirect
139. #16837510C22semidirect
140. #16837508C22semidirect
141. #16837505C22semidirect
142. #16837504C22semidirect
143. #16837504C22semidirect
144. #16837503C22semidirect
145. #16837501C22semidirect
146. #16837499C22semidirect
147. C4×#11745672C22semidirect
148. #16837494C22semidirect
149. #16837493C22semidirect
150. #16837493C22semidirect
151. SD16×Dic59C22semidirect
152. C4×#11745671C22semidirect
153. #16837489C22semidirect
154. C4×#11745670C22semidirect
155. C4×#11745670C22semidirect
156. C4×#11745670C22semidirect
157. D8×Dic59C22semidirect
158. #16837484C22semidirect
159. C4×#11745669C22semidirect
160. C4×#11745669C22semidirect
161. C4×#11745669C22semidirect
162. #16837482C22semidirect
163. #16837464C22semidirect
164. #16837464C22semidirect
165. #16837460C22semidirect
166. #16837460C22semidirect
167. #16837458C22semidirect
168. #16837455C22semidirect
169. #16837454C22semidirect
170. #16837443C22semidirect
171. #16837441C22semidirect
172. #107×D59C22semidirect
173. #106×D59C22semidirect
174. #16837424C22semidirect
175. C4⋊C8×D59C22semidirect
176. #16837402C22semidirect
179. #16837400C22semidirect
180. #16837397C22semidirect
181. #16837395C22semidirect
186. #16837359C22semidirect
187. #16837359C22semidirect
188. C59×#529C22semidirect
190. C59×#483C22semidirect
191. C59×#480C22semidirect
192. C59×#478C22semidirect
193. C59×#478C22semidirect
194. C59×#463C22semidirect
195. C59×#463C22semidirect
198. C59×#442C22semidirect
199. C59×#442C22semidirect
200. C59×#440C22semidirect
201. C59×#440C22semidirect
202. C59×#432C22semidirect
884. #3114D59semidirect
938. #529C2×D59semidirect
971. #483C2×D59semidirect
979. #480C2×D59semidirect
994. #478C2×D59semidirect
995. #478C2×D59semidirect
1002. #463C2×D59semidirect
1003. #463C2×D59semidirect
1032. #442C2×D59semidirect
1033. #442C2×D59semidirect
1042. #440C2×D59semidirect
1043. #440C2×D59semidirect
1065. #432C2×D59semidirect
1086. C59#60601semidirect

Maximal subgroups

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

subgroupindex
#214380112
C4×#142737722
#214343472
#214343422
#214343382
#214343332
#214343142
#214343132
#214342992
#214342982
#214342332
#214342102
#214342072
#214341482
#214341432
#214341112
#214341082
#214340802
#214340692
#214339132
#478×D592
#214335582
#214335482
#214334012
#214333952
#214329782
#214329682
#214329272
#214329252
#214327632
C59×#31142
#6060159