Finite Group Databasebeta

← #29457053

Subgroups — #29457053

Order 15104.

2038 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437484C211yesmaximal, characteristic, complemented
2#21437297C211yesmaximal, characteristic, complemented
3#21434392C211yesmaximal, characteristic, complemented
4#21434383C211yesmaximal, characteristic, complemented
5#21434376C211yesmaximal, characteristic, complemented
6#21434368C211yesmaximal, characteristic, complemented
7#21434361C211yesmaximal, characteristic, complemented
8#21434353C211yesmaximal, characteristic, complemented
9#21434344C211yesmaximal, characteristic, complemented
10#21434335C211yesmaximal, characteristic, complemented
11#21434328C211yesmaximal, characteristic, complemented
12#21434320C211yesmaximal, characteristic, complemented
13#21434313C211yesmaximal, characteristic, complemented
14#21434305C211yesmaximal, characteristic, complemented
15#21434298C211yesmaximal, characteristic, complemented
16#21434290C211yesmaximal, characteristic, complemented
17#21434283C211yesmaximal, characteristic, complemented
18#21434275C211yesmaximal, characteristic, complemented
19#21434009C211yesmaximal, characteristic, complemented
20#21433882C211yesmaximal, characteristic, complemented
21#21433882C211yesmaximal, characteristic, complemented
22#21433549C211yesmaximal, characteristic, complemented
23#21433549C211yesmaximal, characteristic, complemented
24#21433318C211yesmaximal, characteristic, complemented
25#21433312C211yesmaximal, characteristic, complemented
26#21432896C211yesmaximal, characteristic, complemented
27#21432892C211yesmaximal, characteristic, complemented
28#21432867C211yesmaximal, characteristic, complemented
29#21432864C211yesmaximal, characteristic, complemented
30C2×#16837460C211yesmaximal, characteristic, complemented
31C59×#3091C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic
33C2×#14273749C2211yescharacteristic
34C2×#14273749C2211yescharacteristic
35C2×#14273747C2211yescharacteristic
36C2×#14273747C2211yescharacteristic
37#16838025C2211yescharacteristic
38#16838025C2211yescharacteristic, complemented
39#16838019C2211yescharacteristic
40#16838019C2211yescharacteristic, complemented
41#16838012C2211yescharacteristic
42#16838012C2211yescharacteristic, complemented
43#16838005C2211yescharacteristic
44#16838005C2211yescharacteristic, complemented
45#16837996—21no—
46#16837996—21no—
47#16837987—21no—
48#16837987—21no—
49#16837955C2211yescharacteristic, complemented
50#16837948C2211yescharacteristic, complemented
51#16837934—21no—
52#16837934—21no—
53#16837932—21no—
54#16837932—21no—
55#16837913C2211yescharacteristic
56#16837883C2211yescharacteristic
57#16837883C2211yescharacteristic
58#16837883C2211yescharacteristic
59#16837883C2211yescharacteristic
60#16837882—21no—
61#16837882—21no—
62#16837879C2211yescharacteristic
63#16837879C2211yescharacteristic
64#16837876C2211yescharacteristic
65#16837876C2211yescharacteristic
66#16837875—21no—
67#16837875—21no—
68#41×Dic59C2211yescharacteristic, complemented
69C4×#11745685—21no—
70C4×#11745685—21no—
71#16837870C2211yescharacteristic
72#16837870C2211yescharacteristic
73#16837870C2211yescharacteristic
74#16837870C2211yescharacteristic
75#16837870C2211yescharacteristic, complemented
76C2×#14273686C2211yescharacteristic
77#117×D59—21no—
78#117×D59—21no—
79#16837743C2211yescharacteristic
80#16837743C2211yescharacteristic
81#16837737C2211yescharacteristic, complemented
82#16837732C2211yescharacteristic, complemented
83#16837726C2211yescharacteristic
84#16837726C2211yescharacteristic
85#16837720C2211yescharacteristic, complemented
86#16837715C2211yescharacteristic, complemented
87#16837712C2211yescharacteristic, complemented
88#16837712C2211yescharacteristic, complemented
89#16837708C2211yescharacteristic, complemented
90#16837708C2211yescharacteristic, complemented
91#16837705C2211yescharacteristic, complemented
92#16837705C2211yescharacteristic, complemented
93#16837701C2211yescharacteristic, complemented
94#16837701C2211yescharacteristic, complemented
95#16837696C2211yescharacteristic, complemented
96#16837696C2211yescharacteristic, complemented
97#16837691C2211yescharacteristic, complemented
98#16837691C2211yescharacteristic, complemented
99#16837686C2211yescharacteristic, complemented
100#16837686C2211yescharacteristic, complemented
101#16837681C2211yescharacteristic, complemented
102#16837681C2211yescharacteristic, complemented
103#16837627C2211yescharacteristic, complemented
104#16837627C2211yescharacteristic, complemented
105#16837623C2211yescharacteristic, complemented
106#16837623C2211yescharacteristic, complemented
107#16837620C2211yescharacteristic, complemented
108#16837620C2211yescharacteristic, complemented
109#16837616C2211yescharacteristic, complemented
110#16837616C2211yescharacteristic, complemented
111#16837611C2211yescharacteristic, complemented
112#16837611C2211yescharacteristic, complemented
113#16837606C2211yescharacteristic, complemented
114#16837606C2211yescharacteristic, complemented
115#16837601C2211yescharacteristic, complemented
116#16837601C2211yescharacteristic, complemented
117#16837596C2211yescharacteristic, complemented
118#16837596C2211yescharacteristic, complemented
119#16837566C2211yescharacteristic
120#16837566C2211yescharacteristic
121#16837562C2211yescharacteristic
122#16837562C2211yescharacteristic
123#16837560C2211yescharacteristic
124#16837557C2211yescharacteristic
125#16837555C2211yescharacteristic
126#16837552C2211yescharacteristic
127#16837549C2211yescharacteristic
128#16837549C2211yescharacteristic
129#16837545C2211yescharacteristic
130#16837545C2211yescharacteristic
131#16837543C2211yescharacteristic
132#16837540C2211yescharacteristic
133#16837538C2211yescharacteristic
134#16837535C2211yescharacteristic
135#16837513C2211yescharacteristic, complemented
136#16837513C2211yescharacteristic, complemented
137#16837511C2211yescharacteristic, complemented
138#16837511C2211yescharacteristic, complemented
139#16837508C2211yescharacteristic, complemented
140#16837508C2211yescharacteristic, complemented
141#16837506C2211yescharacteristic, complemented
142#16837506C2211yescharacteristic, complemented
143#16837505C2211yescharacteristic, complemented
144#16837505C2211yescharacteristic, complemented
145#16837501C2211yescharacteristic, complemented
146#16837501C2211yescharacteristic, complemented
147#16837501C2211yescharacteristic, complemented
148#16837501C2211yescharacteristic, complemented
149#16837499C2211yescharacteristic, complemented
150#16837499C2211yescharacteristic, complemented
151#16837496C2211yescharacteristic, complemented
152#16837496C2211yescharacteristic, complemented
153#16837494C2211yescharacteristic, complemented
154#16837494C2211yescharacteristic, complemented
155#16837493C2211yescharacteristic, complemented
156#16837493C2211yescharacteristic, complemented
157#16837489C2211yescharacteristic, complemented
158#16837489C2211yescharacteristic, complemented
159#16837489C2211yescharacteristic, complemented
160#16837489C2211yescharacteristic, complemented
161#16837487C2211yescharacteristic, complemented
162#16837487C2211yescharacteristic, complemented
163#16837484C2211yescharacteristic, complemented
164#16837484C2211yescharacteristic, complemented
165#16837482C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837460C2211yescharacteristic
168#16837460C2211yescharacteristic
169#16837460C2211yescharacteristic
170#16837460C2211yescharacteristic
171#16837460C2211yescharacteristic, complemented
172#16837460C2211yescharacteristic, complemented
173#16837460C2211yescharacteristic, complemented
174#16837460C2211yescharacteristic, complemented
175#16837438C2211yescharacteristic, complemented
176#16837438C2211yescharacteristic, complemented
177C2×Dic59⋊C8C2211yescharacteristic, complemented
178C2×Dic59⋊C8C2211yescharacteristic, complemented
179#16837399C2211yescharacteristic
180#16837399C2211yescharacteristic
181#16837396C2211yescharacteristic
182#16837396C2211yescharacteristic
183#16837396C2211yescharacteristic, complemented
184#16837396C2211yescharacteristic, complemented
185C2×C22⋊(C59⋊C8)C2211yescharacteristic
186C2×#14273637C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic, complemented
188C59×#525C2211yescharacteristic
189C2×#117×C59C2211yescharacteristic
190C59×#485C2211yescharacteristic
191C59×#485C2211yescharacteristic
192C59×#484C2211yescharacteristic, complemented
193C59×#483C2211yescharacteristic, complemented
194C59×#482C2211yescharacteristic
195C59×#482C2211yescharacteristic
196C59×#481C2211yescharacteristic, complemented
197C59×#480C2211yescharacteristic, complemented
198C59×#427C2211yescharacteristic, complemented
199C59×#427C2211yescharacteristic, complemented
200C59×#416C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic, complemented
202C2×C22⋊C8×C59C2211yescharacteristic
203C2×#11745685—21no—
204C2×#11745685—21no—
205C2×#11745685—24no—
206C2×#11745685—24no—
207C2×#11745685C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C22×Dic118C2311yescharacteristic
213C22×D236C2311yescharacteristic
214C22×C22⋊D59—21no—
215C22×C4×D59—21no—
216#14273749—24no—
217#14273749—24no—
218#14273747—24no—
219#14273747—24no—
220C2×Dic236C2311yescharacteristic
221C2×Dic236C2311yescharacteristic
222C2×#11745672C2311yescharacteristic
223C2×#11745672C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×D472C2311yescharacteristic
233C2×D472C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C22×C59⋊C8C2311yescharacteristic
237C22×C59⋊C8C2311yescharacteristic
238#14273726C2311yescharacteristic
239#14273726C2311yescharacteristic
240#14273725C2311yescharacteristic
241#14273723C2311yescharacteristic
242#14273722—21no—
243#14273722—21no—
244#14273720—21no—
245#14273720—21no—
246#14273720—21no—
247#14273720—21no—
248#14273720—21no—
249#14273720—21no—
250#14273718—21no—
251#14273718—21no—
252#14273718C2311yescharacteristic
253#14273718C2311yescharacteristic
254#14273717—21no—
255#14273717—21no—
256#14273716C2311yescharacteristic
257#14273714—21no—
258#14273714—21no—
259#14273714C2311yescharacteristic
260#14273713—21no—
261#14273713—21no—
262#14273711—21no—
263#14273711—21no—
264#14273710—21no—
265#14273709—21no—
266#14273709—21no—
267#14273709—21no—
268#14273709—21no—
269#14273708—21no—
270#14273708—21no—
271#14273707—21no—
272#14273707—21no—
273#14273706C2311yescharacteristic
274#14273706C2311yescharacteristic
275#14273704—21no—
276#14273704—21no—
277#14273704—21no—
278#14273704—21no—
279#14273701C2311yescharacteristic
280#14273701C2311yescharacteristic
281#14273699—21no—
282#14273699—21no—
283#14273699—21no—
284#14273699—21no—
285#14273698—21no—
286#14273698—21no—
287#14273696—21no—
288Q8×Dic59C2311yescharacteristic
289Q8×Dic59C2311yescharacteristic
290C4×Dic118—21no—
291C4×Dic118—21no—
292C4×Dic118—21no—
293C4×Dic118—21no—
294C4×Dic118—21no—
295C4×Dic118—21no—
296#14273692C2311yescharacteristic
297#14273692C2311yescharacteristic
298#14273692C2311yescharacteristic
299#14273692C2311yescharacteristic
300#14273692C2311yescharacteristic
301#14273692C2311yescharacteristic
302#14273692C2311yescharacteristic
303#14273692C2311yescharacteristic
304#14273692C2311yescharacteristic
305#14273692C2311yescharacteristic
306C4×D236—21no—
307C4×D236—21no—
308C4×D236—21no—
309C4×D236—21no—
310D4×Dic59—21no—
311D4×Dic59—21no—
312D4×Dic59C2311yescharacteristic
313D4×Dic59C2311yescharacteristic
314#14273689C2311yescharacteristic
315#14273689C2311yescharacteristic
316#14273689C2311yescharacteristic
317#14273689C2311yescharacteristic
318#14273689C2311yescharacteristic
319#14273689C2311yescharacteristic
320#14273689C2311yescharacteristic
321#14273689C2311yescharacteristic
322#14273689C2311yescharacteristic
323#14273689C2311yescharacteristic
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⋊D59—21no—
331C4×C22⋊D59—21no—
332C4×C22⋊D59—21no—
333C4×C22⋊D59—21no—
334C4×C22⋊D59—21no—
335C4×C22⋊D59—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#14273686—21no—
347#14273686D411yescharacteristic
348#14273686D411yescharacteristic
349#14273686D411yescharacteristic
350#14273686D411yescharacteristic
351#14273686C2311yescharacteristic
352#14273686C2311yescharacteristic
353#14273686C2311yescharacteristic
354#14273686C2311yescharacteristic
355#14273686C2311yescharacteristic
356#14273685—21no—
357#14273685—21no—
358#14273685—21no—
359#14273685—21no—
360#14273684—21no—
361#14273684—21no—
362#14273684—21no—
363#14273684—21no—
364#14273684—21no—
365#14273683—21no—
366#14273683—21no—
367#14273683—21no—
368#14273683—21no—
369C2×C4⋊Dic59D411yescharacteristic
370C2×C4⋊Dic59D411yescharacteristic
371C4⋊C4×D59—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59—21no—
374C4⋊C4×D59—21no—
375C2×C22⋊Dic59D411yescharacteristic
376C2×C22⋊Dic59D411yescharacteristic
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C2×C4×Dic59—21no—
382C2×C4×Dic59C2311yescharacteristic
383C2×C4×Dic59C2311yescharacteristic
384C42×D59—21no—
385C42×D59—21no—
386C42×D59—21no—
387C42×D59—21no—
388C42×D59—21no—
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429C22⋊(C59⋊C8)C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C23×C4×C59C2311yescharacteristic
443C22×C8×C59C2311yescharacteristic
444C22×C8×C59C2311yescharacteristic
445#123×C59—21no—
446C22⋊Q8×C59C2311yescharacteristic
447C22⋊Q8×C59C2311yescharacteristic
448#121×C59C2311yescharacteristic
449#121×C59C2311yescharacteristic
450#120×C59—21no—
451C4×D4×C59—21no—
452C4×D4×C59—21no—
453#117×C59—21no—
454#117×C59—21no—
455#117×C59C2311yescharacteristic
456#117×C59C2311yescharacteristic
457#117×C59C2311yescharacteristic
458#117×C59C2311yescharacteristic
459#117×C59C2311yescharacteristic
460C2×C4⋊C4×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462C2×C22⋊C4×C59—21no—
463C2×C42×C59—21no—
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483C22⋊C8×C59C2311yescharacteristic
484C24×C59C2×D411yescharacteristic
485C23×D59—21no—
486#41×C59—22no—
487#41×C59—22no—
488C2×Q8×C59C2411yescharacteristic
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59C2411yescharacteristic
493C22×C4×C59—22no—
494C22×C4×C59—22no—
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59C2×D411yescharacteristic
499C22×C4×C59C2×D411yescharacteristic
500C22×C4×C59C2×D411yescharacteristic
501C22×C4×C59C2411yescharacteristic
502C22×C4×C59C2411yescharacteristic
503C22×C4×C59C2411yescharacteristic
504C2×C22⋊D59—28no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
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—
514C22×Dic59—21no—
515C22×Dic59—21no—
516C22×Dic59—21no—
517C22×Dic59C2×D411yescharacteristic
518C22×Dic59C2×D411yescharacteristic
519C22×Dic59C2×D411yescharacteristic
520C22×Dic59C2×D411yescharacteristic
521#11745685—28no—
522#11745685—28no—
523#11745685—22no—
524#11745685—22no—
525#11745685—22no—
526#11745685—22no—
527#11745685—22no—
528#11745685—22no—
529#11745685—22no—
530#11745685—22no—
531#11745685#4114yes—
532#11745685#4114yes—
533C2×D236—21no—
534C2×D236—22no—
535C2×D236—22no—
536C2×D236C2411yescharacteristic
537C2×D236C2411yescharacteristic
538C2×D236C2411yescharacteristic
539C2×C4×D59—28no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×Dic118—21no—
556C2×Dic118—22no—
557C2×Dic118—22no—
558C2×Dic118—21no—
559C2×Dic118—21no—
560C2×Dic118C2411yescharacteristic
561C2×Dic118C2411yescharacteristic
562C2×Dic118C2411yescharacteristic
563C2×C8×C59—22no—
564C2×C8×C59—22no—
565C2×C8×C59C2411yescharacteristic
566C2×C8×C59C2411yescharacteristic
567C2×C8×C59C2411yescharacteristic
568C2×C8×C59C2411yescharacteristic
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59C2411yescharacteristic
574C4⋊C4×C59C2411yescharacteristic
575C4⋊C4×C59C2411yescharacteristic
576C4⋊C4×C59C2411yescharacteristic
577C4⋊C4×C59C2411yescharacteristic
578C4⋊C4×C59C2411yescharacteristic
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C42×C59—21no—
589C42×C59—21no—
590C42×C59—21no—
591C42×C59—21no—
592C42×C59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59C2×D411yescharacteristic
601C22⋊Dic59C2×D411yescharacteristic
602C22⋊Dic59C2×D411yescharacteristic
603C22⋊Dic59C2×D411yescharacteristic
604C22⋊Dic59C2×D411yescharacteristic
605C22⋊Dic59C2×D411yescharacteristic
606C22⋊Dic59C2×D411yescharacteristic
607C22⋊Dic59C2×D411yescharacteristic
608#11745672—22no—
609#11745672—22no—
610#11745671—22no—
611#11745671—22no—
612#11745670—22no—
613#11745670—22no—
614#11745669—22no—
615#11745669—22no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
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—
630C4⋊Dic59—21no—
631C4⋊Dic59—21no—
632C4⋊Dic59—21no—
633C4⋊Dic59—21no—
634C4⋊Dic59C2×D411yescharacteristic
635C4⋊Dic59C2×D411yescharacteristic
636C4⋊Dic59C2×D411yescharacteristic
637C4⋊Dic59C2×D411yescharacteristic
638C4⋊Dic59C2×D411yescharacteristic
639C4⋊Dic59C2×D411yescharacteristic
640C4⋊Dic59C2×D411yescharacteristic
641C4⋊Dic59C2×D411yescharacteristic
642C4⋊Dic59C2411yescharacteristic
643C4⋊Dic59C2411yescharacteristic
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
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—
662C4×Dic59—21no—
663C4×Dic59—21no—
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2×D411yescharacteristic
679C4×Dic59C2411yescharacteristic
680C4×Dic59C2411yescharacteristic
681C4×Dic59C2411yescharacteristic
682C4×Dic59C2411yescharacteristic
683C2×C59⋊C8—22no—
684C2×C59⋊C8—22no—
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687C2×C59⋊C8C2411yescharacteristic
688C2×C59⋊C8C2411yescharacteristic
689Dic236—22no—
690Dic236—22no—
691D472—22no—
692D472—22no—
693#11745660—22no—
694#11745660—22no—
695#11745660—22no—
696#11745660—22no—
697C23×C59—22no—
698C23×C59—21no—
699C23×C59—41no—
700C23×C59—41no—
701C23×C59C22×D411yescharacteristic
702C23×C59C22×D411yescharacteristic
703C23×C59C22×D411yescharacteristic
704C22×D59—21no—
705C22×D59—21no—
706C22×D59—24no—
707C22×D59—21no—
708C22×D59—81no—
709C22×D59—81no—
710Q8×C59—21no—
711Q8×C59—21no—
712D4×C59—21no—
713D4×C59—21no—
714D4×C59—42no—
715D4×C59—81no—
716D4×C59—81no—
717C2×C4×C59—22no—
718C2×C4×C59—22no—
719C2×C4×C59—22no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—42no—
732C2×C4×C59—81no—
733C2×C4×C59—81no—
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C22×D411yescharacteristic
737C2×C4×C59C2×#4112yes—
738C2×C4×C59C2×#4112yes—
739C2×C4×C59C2511yescharacteristic
740C22⋊D59—24no—
741C22⋊D59—24no—
742C22⋊D59—24no—
743C22⋊D59—24no—
744C22⋊D59—42no—
745C22⋊D59—81no—
746C22⋊D59—81no—
747C22⋊D59—81no—
748C22⋊D59—81no—
749C2×Dic59—24no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—41no—
756C2×Dic59—41no—
757C2×Dic59—41no—
758C2×Dic59—41no—
759C2×Dic59—81no—
760C2×Dic59—81no—
761C2×Dic59C22×D411yescharacteristic
762C2×Dic59C22×D411yescharacteristic
763C2×Dic59C22×D411yescharacteristic
764C2×Dic59C22×D411yescharacteristic
765C2×Dic59C22×D411yescharacteristic
766C2×Dic59C22×D411yescharacteristic
767C2×Dic59C22×D411yescharacteristic
768C2×Dic59C22×D411yescharacteristic
769D236—24no—
770D236—21no—
771D236—21no—
772D236—21no—
773D236—21no—
774D236C2×#4112yes—
775D236C2×#4112yes—
776C4×D59—24no—
777C4×D59—24no—
778C4×D59—24no—
779C4×D59—24no—
780C4×D59—42no—
781C4×D59—81no—
782C4×D59—81no—
783C4×D59—81no—
784C4×D59—81no—
785C4×D59—81no—
786C4×D59—81no—
787C4×D59—81no—
788C4×D59—81no—
789C4×D59—81no—
790C4×D59—81no—
791Dic118—24no—
792Dic118—21no—
793Dic118—21no—
794Dic118—21no—
795Dic118—21no—
796Dic118—81no—
797Dic118—81no—
798Dic118C2×#4112yes—
799Dic118C2×#4112yes—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59—21no—
804C59⋊C8—21no—
805C59⋊C8—21no—
806C59⋊C8—21no—
807C59⋊C8—21no—
808#60557—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—21no—
813C22×C59—21no—
814C22×C59—21no—
815C22×C59—21no—
816C22×C59—21no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—82no—
821C22×C59#52512yes—
822C22×C59C23×D411yescharacteristic
823C2×D59—22no—
824C2×D59—22no—
825C2×D59—41no—
826C2×D59—41no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—84no—
833C4×C59—21no—
834C4×C59—21no—
835C4×C59—41no—
836C4×C59—41no—
837C4×C59—41no—
838C4×C59—41no—
839C4×C59—41no—
840C4×C59—41no—
841C4×C59—41no—
842C4×C59#52512yes—
843C4×C59C22×#4111yescharacteristic
844C4×C59C22×#4111yescharacteristic
845Dic59—21no—
846Dic59—21no—
847Dic59—21no—
848Dic59—21no—
849Dic59—21no—
850Dic59—21no—
851Dic59—21no—
852Dic59—21no—
853Dic59—22no—
854Dic59—22no—
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
858#3455—591no—
859#3428—591no—
860#3127—591no—
861#3126—591no—
862#3125—591no—
863#3125—591no—
864#3124—591no—
865#3124—591no—
866#3123—591no—
867#3122—591no—
868#3121—591no—
869#3121—591no—
870#3120—591no—
871#3120—591no—
872#3119—591no—
873#3119—591no—
874#3118—591no—
875#3118—591no—
876#3091—591no—
877#3091D5911yescharacteristic, complemented
878#3076—591no—
879#3076—591no—
880#3035—591no—
881#3035—591no—
882#3002—591no—
883#3002—591no—
884#2943—591no—
885#2943—591no—
886C4×#135—591no—
887C4×#135—591no—
888C2×#433—591no—
889C2×C59—22no—
890C2×C59—41no—
891C2×C59—41no—
892C2×C59—81no—
893C2×C59C2×#52511yescharacteristic
894C2×C59#358411yescharacteristic
895C2×C59#358411yescharacteristic
896D59—42no—
897D59—42no—
898D59—81no—
899C22×#41—591no—
900C2×#135—591no—
901C2×#135—591no—
902C2×#135—591no—
903C2×#135—591no—
904#542—591no—
905#542—591no—
906#542—591no—
907#542—591no—
908#541—591no—
909#541—591no—
910#540—591no—
911#540—591no—
912#539—1181no—
913#539—1181no—
914#538—1181no—
915#538—1181no—
916#533—591no—
917#532—591no—
918#529—1181no—
919#529—1181no—
920#529—1181no—
921#529—1181no—
922#525—591no—
923#525C2×D5911yescharacteristic
924#520—591no—
925#520—591no—
926#520—591no—
927#520—591no—
928#520—1181no—
929#520—1181no—
930#519—591no—
931#519—591no—
932#518—591no—
933#518—591no—
934#518—1181no—
935#518—1181no—
936C4×#41—591no—
937C4×#41—591no—
938C4×#41—591no—
939C4×#41—591no—
940C4×#41—591no—
941C4×#41—591no—
942C4×#41—1181no—
943C4×#41—1181no—
944C2×#117—591no—
945C2×#117—1181no—
946C2×#117—1181no—
947C2×#117C2×D5911yescharacteristic
948#485—591no—
949#485—591no—
950#485C2×D5911yescharacteristic
951#485C2×D5911yescharacteristic
952#484—591no—
953#484C2×D5911yescharacteristic, complemented
954#483—591no—
955#483C2×D5911yescharacteristic, complemented
956#482—591no—
957#482—591no—
958#482C2×D5911yescharacteristic
959#482C2×D5911yescharacteristic
960#481—591no—
961#481C2×D5911yescharacteristic, complemented
962#480—591no—
963#480C2×D5911yescharacteristic, complemented
964#479—591no—
965#479—591no—
966#479—591no—
967#479—591no—
968#478—591no—
969#478—591no—
970#478—591no—
971#478—591no—
972#477—591no—
973#477—591no—
974#476—591no—
975#476—591no—
976#475—591no—
977#475—591no—
978#474—591no—
979#474—591no—
980#464—591no—
981#464—591no—
982#464—591no—
983#464—591no—
984#463—591no—
985#463—591no—
986#463—591no—
987#463—591no—
988#462—591no—
989#462—591no—
990#461—591no—
991#461—591no—
992#460—591no—
993#460—591no—
994#459—591no—
995#459—591no—
996#452—591no—
997#452—591no—
998#452—591no—
999#452—591no—
1000#451—591no—
1001#451—591no—
1002#450—591no—
1003#450—591no—
1004#449—591no—
1005#449—591no—
1006#449—591no—
1007#449—591no—
1008#448—591no—
1009#448—591no—
1010#447—591no—
1011#447—591no—
1012#442—591no—
1013#442—591no—
1014#442—591no—
1015#442—591no—
1016#441—591no—
1017#441—591no—
1018#441—591no—
1019#441—591no—
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024#440—591no—
1025#440—591no—
1026#440—591no—
1027#440—591no—
1028C4×Q16—591no—
1029C4×Q16—591no—
1030C4×Q16—591no—
1031C4×Q16—591no—
1032C4×SD16—591no—
1033C4×SD16—591no—
1034C4×SD16—591no—
1035C4×SD16—591no—
1036C4×SD16—591no—
1037C4×SD16—591no—
1038C4×SD16—591no—
1039C4×SD16—591no—
1040C4×D8—591no—
1041C4×D8—591no—
1042C4×D8—591no—
1043C4×D8—591no—
1044#433—591no—
1045#433—591no—
1046#433—591no—
1047#433—591no—
1048#433—591no—
1049#433—591no—
1050#433—591no—
1051#433—591no—
1052#427—591no—
1053#427—591no—
1054#427C2×D5911yescharacteristic, complemented
1055#427C2×D5911yescharacteristic, complemented
1056C2×C4⋊C8—591no—
1057C2×C4⋊C8—591no—
1058#416—591no—
1059#416—591no—
1060#416—591no—
1061#416—591no—
1062#416—591no—
1063#416—591no—
1064#416C2×D5911yescharacteristic, complemented
1065#416C2×D5911yescharacteristic, complemented
1066C2×C22⋊C8—591no—
1067C2×C22⋊C8C2×D5911yescharacteristic
1068C2×#97—591no—
1069C2×C4×C8—591no—
1070C59#6055711yescharacteristic, complemented, Sylow
1071C2×#41—591no—
1072C2×#41—591no—
1073C2×#41—591no—
1074C2×#41—591no—
1075C2×#41—591no—
1076C2×#41—1184no—
1077C2×#41—1184no—
1078C2×#41—1181no—
1079C2×#41—1181no—
1080C2×#41C22×D5911yescharacteristic
1081C22×Q8—591no—
1082C22×D4—591no—
1083C22×D4—1181no—
1084C23×C4—1181no—
1085C23×C4C22×D5911yescharacteristic
1086#135—1184no—
1087#135—1184no—
1088#135—1184no—
1089#135—1184no—
1090C2×Q16—591no—
1091C2×Q16—591no—
1092C2×Q16—591no—
1093C2×Q16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—591no—
1097C2×SD16—591no—
1098C2×SD16—591no—
1099C2×SD16—591no—
1100C2×SD16—591no—
1101C2×SD16—591no—
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×D8—591no—
1105C2×D8—591no—
1106C22×C8—591no—
1107C22×C8—591no—
1108C22×C8C22×D5911yescharacteristic
1109C22×C8C22×D5911yescharacteristic
1110C4⋊Q8—591no—
1111C4⋊Q8—591no—
1112C4⋊Q8—591no—
1113#127—591no—
1114#126—1181no—
1115#126—1181no—
1116#126—1181no—
1117#126—1181no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#126—1181no—
1122#125—591no—
1123#125—591no—
1124#125—1181no—
1125#125—1181no—
1126#125—1181no—
1127#125—1181no—
1128#124—591no—
1129#124—591no—
1130#124—1181no—
1131#124—1181no—
1132#124—1181no—
1133#124—1181no—
1134#123—21no—
1135#123—1181no—
1136#123—1181no—
1137#123—1181no—
1138#123—1181no—
1139#123—1181no—
1140#123—1181no—
1141#123—1181no—
1142#123—1181no—
1143#123—1181no—
1144C22⋊Q8—591no—
1145C22⋊Q8—591no—
1146C22⋊Q8—1181no—
1147C22⋊Q8—1181no—
1148C22⋊Q8—1181no—
1149C22⋊Q8—1181no—
1150C22⋊Q8—1181no—
1151C22⋊Q8—1181no—
1152C22⋊Q8C22×D5911yescharacteristic
1153C22⋊Q8C22×D5911yescharacteristic
1154#121—591no—
1155#121—591no—
1156#121—1181no—
1157#121—1181no—
1158#121—1181no—
1159#121—1181no—
1160#121—1181no—
1161#121—1181no—
1162#121C22×D5911yescharacteristic
1163#121C22×D5911yescharacteristic
1164#120—21no—
1165#120—1181no—
1166C4×Q8—591no—
1167C4×Q8—591no—
1168C4×Q8—591no—
1169C4×Q8—591no—
1170C4×Q8—591no—
1171C4×Q8—591no—
1172C4×Q8—591no—
1173C4×Q8—591no—
1174C4×Q8—591no—
1175C4×Q8—591no—
1176C4×Q8—591no—
1177C4×Q8—591no—
1178C4×Q8—1181no—
1179C4×Q8—1181no—
1180C4×Q8—1181no—
1181C4×Q8—1181no—
1182C4×Q8—1181no—
1183C4×Q8—1181no—
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—591no—
1187C4×D4—591no—
1188C4×D4—591no—
1189C4×D4—591no—
1190C4×D4—591no—
1191C4×D4—591no—
1192C4×D4—591no—
1193C4×D4—591no—
1194C4×D4—591no—
1195C4×D4—591no—
1196C4×D4—591no—
1197C4×D4—591no—
1198C4×D4—1181no—
1199C4×D4—1181no—
1200C4×D4—1181no—
1201C4×D4—1181no—
1202C4×D4—1181no—
1203C4×D4—1181no—
1204C4×D4—1181no—
1205C4×D4—1181no—
1206C4×D4—1181no—
1207C4×D4—1181no—
1208C4×D4—1181no—
1209C4×D4—1181no—
1210C4×D4—1181no—
1211C4×D4—1181no—
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—
1226#117—21no—
1227#117—21no—
1228#117—591no—
1229#117—591no—
1230#117—591no—
1231#117—591no—
1232#117—591no—
1233#117—591no—
1234#117—591no—
1235#117—591no—
1236#117—591no—
1237#117—1181no—
1238#117—1181no—
1239#117—1181no—
1240#117—1181no—
1241#117—1181no—
1242#117—1181no—
1243#117—1181no—
1244#117—1181no—
1245#117—1181no—
1246#117—1181no—
1247#117—1181no—
1248#117—1181no—
1249#117—1181no—
1250#117—1181no—
1251#117C22×D5911yescharacteristic
1252#117C22×D5911yescharacteristic
1253#117C22×D5911yescharacteristic
1254#117C22×D5911yescharacteristic
1255#117C22×D5911yescharacteristic
1256C2×C4⋊C4—591no—
1257C2×C4⋊C4—591no—
1258C2×C4⋊C4—1181no—
1259C2×C4⋊C4—1181no—
1260C2×C4⋊C4—1181no—
1261C2×C4⋊C4—1181no—
1262C2×C4⋊C4C22×D5911yescharacteristic
1263C2×C4⋊C4C22×D5911yescharacteristic
1264C2×C22⋊C4—21no—
1265C2×C22⋊C4—591no—
1266C2×C22⋊C4—591no—
1267C2×C22⋊C4—1181no—
1268C2×C22⋊C4—1181no—
1269C2×C22⋊C4—1181no—
1270C2×C22⋊C4—1181no—
1271C2×C42—21no—
1272C2×C42—591no—
1273C2×C42—591no—
1274C2×C42—1181no—
1275C2×C42—1181no—
1276C2×C42—1181no—
1277C2×C42—1181no—
1278C2×C42—1181no—
1279C2×C42—1181no—
1280#107—591no—
1281#107—591no—
1282#107—591no—
1283#107—591no—
1284#107C22×D5911yescharacteristic
1285#107C22×D5911yescharacteristic
1286#107C22×D5911yescharacteristic
1287#107C22×D5911yescharacteristic
1288#106—591no—
1289#106—591no—
1290#106—591no—
1291#106—591no—
1292#106C22×D5911yescharacteristic
1293#106C22×D5911yescharacteristic
1294#106C22×D5911yescharacteristic
1295#106C22×D5911yescharacteristic
1296C4⋊C8—591no—
1297C4⋊C8—591no—
1298C4⋊C8—591no—
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8—591no—
1303C4⋊C8—591no—
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#103—591no—
1313#103—591no—
1314#103—591no—
1315#103—591no—
1316#103C22×D5911yescharacteristic
1317#103C22×D5911yescharacteristic
1318#103C22×D5911yescharacteristic
1319#103C22×D5911yescharacteristic
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328#102—591no—
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102C22×D5911yescharacteristic
1333#102C22×D5911yescharacteristic
1334#102C22×D5911yescharacteristic
1335#102C22×D5911yescharacteristic
1336C22⋊C8—591no—
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8C22×D5911yescharacteristic
1341C22⋊C8C22×D5911yescharacteristic
1342C22⋊C8C22×D5911yescharacteristic
1343C22⋊C8C22×D5911yescharacteristic
1344#97—591no—
1345#97—591no—
1346#97—591no—
1347#97—591no—
1348C4×C8—591no—
1349C4×C8—591no—
1350C4×C8—591no—
1351C4×C8—591no—
1352C24—1181no—
1353C24D4×D5911yescharacteristic
1354#41—22no—
1355#41—22no—
1356#41—594no—
1357#41—594no—
1358#41—1182no—
1359#41—1182no—
1360#41—1182no—
1361#41—1182no—
1362#41—1188no—
1363#41—1188no—
1364#41—1182no—
1365#41—1182no—
1366#41—1182no—
1367#41—1182no—
1368C2×Q8—591no—
1369C2×Q8—591no—
1370C2×Q8—591no—
1371C2×Q8—1181no—
1372C2×Q8—1181no—
1373C2×Q8—1182no—
1374C2×Q8—1182no—
1375C2×Q8—1181no—
1376C2×Q8C23×D5911yescharacteristic
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—591no—
1381C2×D4—591no—
1382C2×D4—591no—
1383C2×D4—1182no—
1384C2×D4—1182no—
1385C2×D4—1181no—
1386C2×D4—1181no—
1387C2×D4—1188no—
1388C2×D4—1181no—
1389C2×D4—1181no—
1390C2×D4—1181no—
1391C2×D4—1181no—
1392C2×D4—1181no—
1393C2×D4—1181no—
1394C2×D4—1181no—
1395C2×D4—1181no—
1396C2×D4C23×D5911yescharacteristic
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—591no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—1181no—
1407C22×C4—1181no—
1408C22×C4—1181no—
1409C22×C4—1181no—
1410C22×C4—1181no—
1411C22×C4—1181no—
1412C22×C4—1181no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—1181no—
1416C22×C4—1188no—
1417C22×C4—1181no—
1418C22×C4—1181no—
1419C22×C4—1181no—
1420C22×C4—1181no—
1421C22×C4—1181no—
1422C22×C4—1181no—
1423C22×C4—1181no—
1424C22×C4—1181no—
1425C22×C4D4×D5911yescharacteristic
1426C22×C4D4×D5911yescharacteristic
1427C22×C4D4×D5911yescharacteristic
1428C22×C4C23×D5911yescharacteristic
1429C22×C4C23×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431Q16—1182no—
1432Q16—1182no—
1433Q16—1182no—
1434Q16—1182no—
1435SD16—1182no—
1436SD16—1182no—
1437SD16—1182no—
1438SD16—1182no—
1439SD16—1182no—
1440SD16—1182no—
1441SD16—1182no—
1442SD16—1182no—
1443D8—1182no—
1444D8—1182no—
1445D8—1182no—
1446D8—1182no—
1447C2×C8—22no—
1448C2×C8—22no—
1449C2×C8—591no—
1450C2×C8—591no—
1451C2×C8—591no—
1452C2×C8—591no—
1453C2×C8—1182no—
1454C2×C8—1182no—
1455C2×C8C23×D5911yescharacteristic
1456C2×C8C23×D5911yescharacteristic
1457C2×C8C23×D5911yescharacteristic
1458C2×C8C23×D5911yescharacteristic
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—591no—
1464C4⋊C4—591no—
1465C4⋊C4—591no—
1466C4⋊C4—591no—
1467C4⋊C4—591no—
1468C4⋊C4—591no—
1469C4⋊C4—591no—
1470C4⋊C4—591no—
1471C4⋊C4—591no—
1472C4⋊C4—591no—
1473C4⋊C4—1181no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4C23×D5911yescharacteristic
1496C4⋊C4C23×D5911yescharacteristic
1497C4⋊C4C23×D5911yescharacteristic
1498C4⋊C4C23×D5911yescharacteristic
1499C4⋊C4C23×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—591no—
1511C22⋊C4—591no—
1512C22⋊C4—591no—
1513C22⋊C4—591no—
1514C22⋊C4—591no—
1515C22⋊C4—591no—
1516C22⋊C4—591no—
1517C22⋊C4—591no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C42—21no—
1540C42—21no—
1541C42—21no—
1542C42—21no—
1543C42—21no—
1544C42—591no—
1545C42—591no—
1546C42—591no—
1547C42—591no—
1548C42—591no—
1549C42—591no—
1550C42—591no—
1551C42—591no—
1552C42—1181no—
1553C42—1181no—
1554C42—1181no—
1555C42—1181no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42—1181no—
1560C42—1181no—
1561C42—1181no—
1562C42—1181no—
1563C42—1181no—
1564C42—1181no—
1565C23—22no—
1566C23—21no—
1567C23—41no—
1568C23—41no—
1569C23—1184no—
1570C23—1181no—
1571C23—1181no—
1572C23—1181no—
1573C23—4721no—
1574C23—4721no—
1575C23C2×D4×D5911yescharacteristic
1576C23C2×D4×D5911yescharacteristic
1577C23C2×D4×D5911yescharacteristic
1578Q8—21no—
1579Q8—21no—
1580Q8—592no—
1581Q8—592no—
1582Q8—1184no—
1583Q8—1181no—
1584Q8—1181no—
1585Q8—1181no—
1586Q8—1181no—
1587Q8—4721no—
1588Q8—4721no—
1589D4—21no—
1590D4—21no—
1591D4—42no—
1592D4—81no—
1593D4—81no—
1594D4—592no—
1595D4—592no—
1596D4—1184no—
1597D4—1184no—
1598D4—1184no—
1599D4—1184no—
1600D4—1184no—
1601D4—1181no—
1602D4—1181no—
1603D4—1181no—
1604D4—1181no—
1605D4—4721no—
1606D4—4721no—
1607D4—4721no—
1608D4—4721no—
1609D4—2362no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—42no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—591no—
1628C2×C4—591no—
1629C2×C4—591no—
1630C2×C4—591no—
1631C2×C4—591no—
1632C2×C4—591no—
1633C2×C4—591no—
1634C2×C4—591no—
1635C2×C4—1184no—
1636C2×C4—1184no—
1637C2×C4—1184no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1184no—
1641C2×C4—1184no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—4721no—
1646C2×C4—4721no—
1647C2×C4—4721no—
1648C2×C4—4721no—
1649C2×C4—4721no—
1650C2×C4—4721no—
1651C2×C4—4721no—
1652C2×C4—4721no—
1653C2×C4—4721no—
1654C2×C4—4721no—
1655C2×C4—4721no—
1656C2×C4—4721no—
1657C2×C4—2361no—
1658C2×C4—2361no—
1659C2×C4—2361no—
1660C2×C4—2361no—
1661C2×C4—2362no—
1662C2×C4C2×D4×D5911yescharacteristic
1663C2×C4C2×D4×D5911yescharacteristic
1664C2×C4C2×D4×D5911yescharacteristic
1665C2×C4#41×D5912yes—
1666C2×C4#41×D5912yes—
1667C2×C4C24×D5911yescharacteristic
1668C8—21no—
1669C8—21no—
1670C8—21no—
1671C8—21no—
1672C8—1181no—
1673C8—1181no—
1674C8—1181no—
1675C8—1181no—
1676C22—21no—
1677C22—21no—
1678C22—21no—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—82no—
1688C22—1182no—
1689C22—1182no—
1690C22—4724no—
1691C22—2361no—
1692C22—2361no—
1693C22—2361no—
1694C22—2361no—
1695C22—2361no—
1696C22—2361no—
1697C22—2361no—
1698C22#1683791012yes—
1699C22C22×D4×D5911yescharacteristic
1700C4—21no—
1701C4—21no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—1181no—
1710C4—1181no—
1711C4—1181no—
1712C4—1181no—
1713C4—1181no—
1714C4—1181no—
1715C4—1181no—
1716C4—1181no—
1717C4—1182no—
1718C4—1182no—
1719C4—2361no—
1720C4—2361no—
1721C4—2361no—
1722C4#1683791012yes—
1723C4C2×#41×D5911yescharacteristic
1724C4C2×#41×D5911yescharacteristic
1725C2—22no—
1726C2—41no—
1727C2—41no—
1728C2—81no—
1729C2—4721no—
1730C2—2362no—
1731C2—2362no—
1732C2C2×#1683791011yescharacteristic
1733C2#2143886511yescharacteristic
1734C2#2143886911yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3091C2
socleC22×C59C23×D4
hypercenter#3091D59
hypocenterC59#60557
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #3091

Complements

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

NH ≅ G/Ntype
1. #21437484C2semidirect
2. #21437297C2semidirect
3. #21434392C2semidirect
4. #21434383C2semidirect
5. #21434376C2semidirect
6. #21434368C2semidirect
7. #21434361C2semidirect
8. #21434353C2semidirect
9. #21434344C2semidirect
10. #21434335C2semidirect
11. #21434328C2semidirect
12. #21434320C2semidirect
13. #21434313C2semidirect
14. #21434305C2semidirect
15. #21434298C2semidirect
16. #21434290C2semidirect
17. #21434283C2semidirect
18. #21434275C2semidirect
19. #21434009C2semidirect
20. #21433882C2semidirect
21. #21433882C2semidirect
22. #21433549C2semidirect
23. #21433549C2semidirect
24. #21433318C2semidirect
25. #21433312C2semidirect
26. #21432896C2semidirect
27. #21432892C2semidirect
28. #21432867C2semidirect
29. #21432864C2semidirect
30. C2×#16837460C2semidirect
31. C59×#3091C2semidirect
38. #16838025C22semidirect
40. #16838019C22semidirect
42. #16838012C22semidirect
44. #16838005C22semidirect
49. #16837955C22semidirect
50. #16837948C22semidirect
68. #41×Dic59C22semidirect
75. #16837870C22semidirect
81. #16837737C22semidirect
82. #16837732C22semidirect
85. #16837720C22semidirect
86. #16837715C22semidirect
87. #16837712C22semidirect
88. #16837712C22semidirect
89. #16837708C22semidirect
90. #16837708C22semidirect
91. #16837705C22semidirect
92. #16837705C22semidirect
93. #16837701C22semidirect
94. #16837701C22semidirect
95. #16837696C22semidirect
96. #16837696C22semidirect
97. #16837691C22semidirect
98. #16837691C22semidirect
99. #16837686C22semidirect
100. #16837686C22semidirect
101. #16837681C22semidirect
102. #16837681C22semidirect
103. #16837627C22semidirect
104. #16837627C22semidirect
105. #16837623C22semidirect
106. #16837623C22semidirect
107. #16837620C22semidirect
108. #16837620C22semidirect
109. #16837616C22semidirect
110. #16837616C22semidirect
111. #16837611C22semidirect
112. #16837611C22semidirect
113. #16837606C22semidirect
114. #16837606C22semidirect
115. #16837601C22semidirect
116. #16837601C22semidirect
117. #16837596C22semidirect
118. #16837596C22semidirect
135. #16837513C22semidirect
136. #16837513C22semidirect
137. #16837511C22semidirect
138. #16837511C22semidirect
139. #16837508C22semidirect
140. #16837508C22semidirect
141. #16837506C22semidirect
142. #16837506C22semidirect
143. #16837505C22semidirect
144. #16837505C22semidirect
145. #16837501C22semidirect
146. #16837501C22semidirect
147. #16837501C22semidirect
148. #16837501C22semidirect
149. #16837499C22semidirect
150. #16837499C22semidirect
151. #16837496C22semidirect
152. #16837496C22semidirect
153. #16837494C22semidirect
154. #16837494C22semidirect
155. #16837493C22semidirect
156. #16837493C22semidirect
157. #16837489C22semidirect
158. #16837489C22semidirect
159. #16837489C22semidirect
160. #16837489C22semidirect
161. #16837487C22semidirect
162. #16837487C22semidirect
163. #16837484C22semidirect
164. #16837484C22semidirect
165. #16837482C22semidirect
166. #16837482C22semidirect
171. #16837460C22semidirect
172. #16837460C22semidirect
173. #16837460C22semidirect
174. #16837460C22semidirect
175. #16837438C22semidirect
176. #16837438C22semidirect
177. C2×Dic59⋊C8C22semidirect
178. C2×Dic59⋊C8C22semidirect
183. #16837396C22semidirect
184. #16837396C22semidirect
186. C2×#14273637C22semidirect
187. C2×C8×Dic59C22semidirect
192. C59×#484C22semidirect
193. C59×#483C22semidirect
196. C59×#481C22semidirect
197. C59×#480C22semidirect
198. C59×#427C22semidirect
199. C59×#427C22semidirect
200. C59×#416C22semidirect
201. C59×#416C22semidirect
877. #3091D59semidirect
953. #484C2×D59semidirect
955. #483C2×D59semidirect
961. #481C2×D59semidirect
963. #480C2×D59semidirect
1054. #427C2×D59semidirect
1055. #427C2×D59semidirect
1064. #416C2×D59semidirect
1065. #416C2×D59semidirect
1070. C59#60557semidirect

Maximal subgroups

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

subgroupindex
#214374842
#214372972
#214343922
#214343832
#214343762
#214343682
#214343612
#214343532
#214343442
#214343352
#214343282
#214343202
#214343132
#214343052
#214342982
#214342902
#214342832
#214342752
#214340092
#214338822
#214335492
#214333182
#214333122
#214328962
#214328922
#214328672
#214328642
C2×#168374602
C59×#30912
#6055759