Finite Group Databasebeta

← #29459413

Subgroups — #29459413

Order 15104.

2166 conjugacy classes of subgroups.

The subgroup lattice has 1938 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437428C211yesmaximal, characteristic, complemented
2#21437424C211yesmaximal, characteristic, complemented
3#21435006C211yesmaximal, characteristic, complemented
4#21435004C211yesmaximal, characteristic, complemented
5#21435000C211yesmaximal, characteristic, complemented
6#21434997C211yesmaximal, characteristic, complemented
7#21434989C211yesmaximal, characteristic, complemented
8#21434981C211yesmaximal, characteristic, complemented
9#21434979C211yesmaximal, characteristic, complemented
10#21434978C211yesmaximal, characteristic, complemented
11#21434967C211yesmaximal, characteristic, complemented
12#21434966C211yesmaximal, characteristic, complemented
13#21434960C211yesmaximal, characteristic, complemented
14#21434951C211yesmaximal, characteristic, complemented
15#21434950C211yesmaximal, characteristic, complemented
16#21434949C211yesmaximal, characteristic, complemented
17#21434942C211yesmaximal, characteristic, complemented
18#21434014C211yesmaximal, characteristic, complemented
19#21434012C211yesmaximal, characteristic, complemented
20#21434010C211yesmaximal, characteristic, complemented
21#21434008C211yesmaximal, characteristic, complemented
22#21433707C211yesmaximal, characteristic, complemented
23#21433700C211yesmaximal, characteristic, complemented
24#21433679C211yesmaximal, characteristic, complemented
25#21433672C211yesmaximal, characteristic, complemented
26#21433319C211yesmaximal, characteristic, complemented
27#21433317C211yesmaximal, characteristic, complemented
28#21433317C211yesmaximal, characteristic, complemented
29#21433313C211yesmaximal, characteristic, complemented
30#408×D59C211yesmaximal, characteristic, complemented
31C59×#3201C211yesmaximal, characteristic, complemented
32C22×#11745689C2211yescharacteristic, complemented
33C2×#41×D59C2211yescharacteristic
34C2×#41×D59C2211yescharacteristic, complemented
35C2×#14273750C2211yescharacteristic
36C2×#14273750C2211yescharacteristic
37C2×#14273748C2211yescharacteristic
38C2×#14273748C2211yescharacteristic
39C2×M16×D59C2211yescharacteristic, complemented
40C22×C8×D59C2211yescharacteristic, complemented
41#16837983C2211yescharacteristic, complemented
42#16837982C2211yescharacteristic
43#16837982C2211yescharacteristic
44#16837982C2211yescharacteristic, complemented
45#16837982C2211yescharacteristic, complemented
46#16837980C2211yescharacteristic
47#16837980C2211yescharacteristic, complemented
48#16837977—21no—
49#16837976C2211yescharacteristic
50#16837975—21no—
51#16837975C2211yescharacteristic
52#16837975C2211yescharacteristic, complemented
53#16837971C2211yescharacteristic
54#16837970—21no—
55#16837968—21no—
56#16837968C2211yescharacteristic
57#16837968C2211yescharacteristic, complemented
58#16837966C2211yescharacteristic, complemented
59#16837963—21no—
60#16837963—21no—
61#16837960—21no—
62#16837960—21no—
63#16837953—21no—
64#16837951—21no—
65#16837947—21no—
66#16837947—21no—
67#16837915—21no—
68#16837915C2211yescharacteristic
69#16837915C2211yescharacteristic
70#16837915C2211yescharacteristic
71#16837915C2211yescharacteristic, complemented
72#16837915C2211yescharacteristic, complemented
73#16837915C2211yescharacteristic, complemented
74#16837912—21no—
75#16837912C2211yescharacteristic
76#16837912C2211yescharacteristic, complemented
77#16837910—21no—
78#16837910—21no—
79C2×#14273685C2211yescharacteristic, complemented
80#117×D59C2211yescharacteristic, complemented
81#16837744C2211yescharacteristic, complemented
82#16837743C2211yescharacteristic, complemented
83#16837742C2211yescharacteristic, complemented
84#16837742C2211yescharacteristic, complemented
85#16837741C2211yescharacteristic, complemented
86#16837741C2211yescharacteristic, complemented
87#16837740C2211yescharacteristic, complemented
88#16837739C2211yescharacteristic, complemented
89#16837736C2211yescharacteristic, complemented
90#16837735C2211yescharacteristic, complemented
91#16837734C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837730C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837729C2211yescharacteristic, complemented
96#16837728C2211yescharacteristic, complemented
97#16837728C2211yescharacteristic, complemented
98#16837727C2211yescharacteristic, complemented
99#16837726C2211yescharacteristic, complemented
100#16837723C2211yescharacteristic, complemented
101#16837722C2211yescharacteristic, complemented
102#16837721C2211yescharacteristic, complemented
103#16837720C2211yescharacteristic, complemented
104#16837719C2211yescharacteristic, complemented
105#16837717C2211yescharacteristic, complemented
106#16837716C2211yescharacteristic, complemented
107#16837715C2211yescharacteristic, complemented
108#16837714C2211yescharacteristic, complemented
109#16837659C2211yescharacteristic, complemented
110#16837658C2211yescharacteristic, complemented
111#16837657C2211yescharacteristic, complemented
112#16837656C2211yescharacteristic, complemented
113#16837655C2211yescharacteristic, complemented
114#16837654C2211yescharacteristic, complemented
115#16837653C2211yescharacteristic, complemented
116#16837651C2211yescharacteristic, complemented
117#16837651C2211yescharacteristic, complemented
118#16837650C2211yescharacteristic, complemented
119#16837650C2211yescharacteristic, complemented
120#16837649C2211yescharacteristic, complemented
121#16837648C2211yescharacteristic, complemented
122#16837645C2211yescharacteristic, complemented
123#16837642C2211yescharacteristic, complemented
124#16837641C2211yescharacteristic, complemented
125#16837640C2211yescharacteristic, complemented
126#16837639C2211yescharacteristic, complemented
127#16837638C2211yescharacteristic, complemented
128#16837637C2211yescharacteristic, complemented
129#16837636C2211yescharacteristic, complemented
130#16837634C2211yescharacteristic, complemented
131#16837634C2211yescharacteristic, complemented
132#16837633C2211yescharacteristic, complemented
133#16837633C2211yescharacteristic, complemented
134#16837632C2211yescharacteristic, complemented
135#16837631C2211yescharacteristic, complemented
136#16837628C2211yescharacteristic, complemented
137#16837567C2211yescharacteristic, complemented
138#16837567C2211yescharacteristic, complemented
139#16837563C2211yescharacteristic, complemented
140#16837563C2211yescharacteristic, complemented
141#16837562C2211yescharacteristic, complemented
142#16837562C2211yescharacteristic, complemented
143#16837558C2211yescharacteristic, complemented
144#16837556C2211yescharacteristic, complemented
145#16837556C2211yescharacteristic, complemented
146#16837555C2211yescharacteristic, complemented
147#16837552C2211yescharacteristic, complemented
148#16837551C2211yescharacteristic, complemented
149#16837551C2211yescharacteristic, complemented
150#16837550C2211yescharacteristic, complemented
151#16837550C2211yescharacteristic, complemented
152#16837549C2211yescharacteristic, complemented
153#16837549C2211yescharacteristic, complemented
154#16837547C2211yescharacteristic, complemented
155#16837547C2211yescharacteristic, complemented
156#16837546C2211yescharacteristic, complemented
157#16837546C2211yescharacteristic, complemented
158#16837542C2211yescharacteristic, complemented
159#16837542C2211yescharacteristic, complemented
160#16837541C2211yescharacteristic, complemented
161#16837538C2211yescharacteristic, complemented
162#16837537C2211yescharacteristic, complemented
163#16837537C2211yescharacteristic, complemented
164#16837535C2211yescharacteristic, complemented
165#16837439C2211yescharacteristic, complemented
166#16837439C2211yescharacteristic, complemented
167#16837437C2211yescharacteristic, complemented
168#16837437C2211yescharacteristic, complemented
169#16837397C2211yescharacteristic, complemented
170#16837397C2211yescharacteristic, complemented
171#16837397C2211yescharacteristic, complemented
172#16837397C2211yescharacteristic, complemented
173#16837397C2211yescharacteristic, complemented
174#16837397C2211yescharacteristic, complemented
175#16837395C2211yescharacteristic, complemented
176#16837395C2211yescharacteristic, complemented
177#16837370C2211yescharacteristic, complemented
178#16837369C2211yescharacteristic, complemented
179#16837368C2211yescharacteristic, complemented
180#16837367C2211yescharacteristic
181#16837367C2211yescharacteristic
182#16837367C2211yescharacteristic, complemented
183#16837367C2211yescharacteristic, complemented
184C22⋊C8×D59C2211yescharacteristic, complemented
185C22⋊C8×D59C2211yescharacteristic, complemented
186C22⋊C8×D59C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C59×#537C2211yescharacteristic
189C59×#536C2211yescharacteristic, complemented
190C59×#485C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#483C2211yescharacteristic, complemented
193C59×#482C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#467C2211yescharacteristic, complemented
197C59×#465C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#452C2211yescharacteristic, complemented
200C59×#451C2211yescharacteristic, complemented
201C59×#448C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689—21no—
205C2×#11745689—42no—
206C2×#11745689—42no—
207C2×#11745689D411yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745689C2311yescharacteristic
213C2×#11745685—21no—
214C2×#11745685C2311yescharacteristic
215C2×#11745685C2311yescharacteristic
216C2×#11745685C2311yescharacteristic
217C2×#11745685C2311yescharacteristic
218C2×#11745687—21no—
219C2×#11745687D411yescharacteristic
220C2×#11745687D411yescharacteristic
221C2×#11745687D411yescharacteristic
222C2×#11745687C2311yescharacteristic
223#41×D59—42no—
224#41×D59—42no—
225#41×D59—42no—
226#41×D59—42no—
227C2×Q8×D59D411yescharacteristic
228C2×Q8×D59C2311yescharacteristic
229C22×D236—21no—
230C22×D236C2311yescharacteristic
231C2×D4×D59—21no—
232C2×D4×D59D411yescharacteristic
233C2×D4×D59D411yescharacteristic
234C2×D4×D59D411yescharacteristic
235C2×D4×D59C2311yescharacteristic
236C22×C4×D59—21no—
237C22×C4×D59—21no—
238C22×C4×D59C2311yescharacteristic
239C22×C4×D59C2311yescharacteristic
240C22×C4×D59C2311yescharacteristic
241#14273750—42no—
242#14273750—42no—
243#14273748—42no—
244#14273748—42no—
245C2×#11745672C2311yescharacteristic
246C2×#11745672C2311yescharacteristic
247C2×#11745660C2311yescharacteristic
248C2×#11745660C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253C2×D472C2311yescharacteristic
254C2×D472C2311yescharacteristic
255C2×#11745669C2311yescharacteristic
256C2×#11745669C2311yescharacteristic
257C2×#11745664C2311yescharacteristic
258C2×#11745659C2311yescharacteristic
259C2×#11745659C2311yescharacteristic
260M16×D59—42no—
261C22×C59⋊C8C2311yescharacteristic
262C2×C8×D59—42no—
263C2×C8×D59C2311yescharacteristic
264C2×C8×D59C2311yescharacteristic
265C2×C8×D59C2311yescharacteristic
266C2×C8×D59C2311yescharacteristic
267C2×C8×D59C2311yescharacteristic
268C2×C8×D59C2311yescharacteristic
269#14273726—21no—
270#14273726—21no—
271#14273725—21no—
272#14273724—21no—
273#14273723—21no—
274#14273723—21no—
275#14273723—21no—
276#14273716—21no—
277#14273716—21no—
278#14273715—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273710—21no—
292#14273710—21no—
293#14273709—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709—21no—
297#14273707—21no—
298#14273707C2311yescharacteristic
299#14273707C2311yescharacteristic
300#14273706—21no—
301#14273706C2311yescharacteristic
302#14273706C2311yescharacteristic
303#14273705—21no—
304#14273705—21no—
305#14273705—21no—
306#14273705—21no—
307#14273703—21no—
308#14273703C2311yescharacteristic
309#14273703C2311yescharacteristic
310#14273703C2311yescharacteristic
311#14273703C2311yescharacteristic
312#14273703C2311yescharacteristic
313#14273703C2311yescharacteristic
314#14273702—21no—
315#14273702—21no—
316#14273702—21no—
317#14273702—21no—
318#14273702—21no—
319#14273702C2311yescharacteristic
320#14273702C2311yescharacteristic
321#14273702C2311yescharacteristic
322#14273702C2311yescharacteristic
323#14273702C2311yescharacteristic
324#14273702C2311yescharacteristic
325#14273701—21no—
326#14273701—21no—
327#14273701—21no—
328#14273701C2311yescharacteristic
329#14273701C2311yescharacteristic
330#14273701C2311yescharacteristic
331#14273701C2311yescharacteristic
332#14273701C2311yescharacteristic
333#14273701C2311yescharacteristic
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700—21no—
341#14273700—21no—
342#14273699—21no—
343#14273699—21no—
344#14273699—21no—
345#14273699—21no—
346#14273698—21no—
347#14273698C2311yescharacteristic
348#14273698C2311yescharacteristic
349#14273697—21no—
350#14273697—21no—
351#14273697—21no—
352#14273697—21no—
353#14273697—21no—
354#14273697—21no—
355#14273697—21no—
356#14273697—21no—
357#14273697—21no—
358#14273697—21no—
359#14273695—21no—
360#14273695—21no—
361#14273695—21no—
362#14273695—21no—
363#14273695—21no—
364#14273695—21no—
365D4×Dic59—21no—
366D4×Dic59—21no—
367#14273689—21no—
368#14273689—21no—
369#14273689—21no—
370#14273689—21no—
371#14273689—21no—
372#14273689—21no—
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381#14273686C2311yescharacteristic
382#14273685—21no—
383#14273685—21no—
384#14273685C2311yescharacteristic
385#14273685C2311yescharacteristic
386#14273685C2311yescharacteristic
387#14273685C2311yescharacteristic
388#14273685C2311yescharacteristic
389#14273685C2311yescharacteristic
390#14273684—21no—
391#14273683—21no—
392C2×C4⋊Dic59C2311yescharacteristic
393C4⋊C4×D59C2311yescharacteristic
394C4⋊C4×D59C2311yescharacteristic
395C2×(C2×D59)⋊C4—21no—
396C22⋊C4×D59—21no—
397C2×C4×Dic59—21no—
398C42×D59—21no—
399#14273661C2311yescharacteristic
400#14273661C2311yescharacteristic
401#14273660C2311yescharacteristic
402#14273660C2311yescharacteristic
403#14273660C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273659C2311yescharacteristic
406#14273659C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409#14273658C2311yescharacteristic
410#14273658C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437C22⋊(C59⋊C8)C2311yescharacteristic
438C22⋊(C59⋊C8)C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444(C2×D59)⋊C8C2311yescharacteristic
445(C2×D59)⋊C8C2311yescharacteristic
446(C2×D59)⋊C8C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C22×Q8×C59C2311yescharacteristic
450C2×Q16×C59C2311yescharacteristic
451C2×Q16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456C4⋊Q8×C59—21no—
457#124×C59—21no—
458#123×C59—21no—
459#123×C59—21no—
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463C22⋊Q8×C59C2311yescharacteristic
464C22⋊Q8×C59C2311yescharacteristic
465C22⋊Q8×C59C2311yescharacteristic
466C22⋊Q8×C59C2311yescharacteristic
467#121×C59—21no—
468#121×C59—21no—
469#121×C59—21no—
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#117×C59C2311yescharacteristic
473C2×C4⋊C4×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#107×C59C2311yescharacteristic
476#106×C59C2311yescharacteristic
477#106×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59C2×D411yescharacteristic
493C23×D59C2×D411yescharacteristic
494C23×D59C2×D411yescharacteristic
495#41×C59—41no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499C2×Q8×C59—21no—
500C2×Q8×C59—41no—
501C2×Q8×C59—41no—
502C2×Q8×C59C2×D411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×Q8×C59C2411yescharacteristic
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59C2×D411yescharacteristic
510C2×D4×C59C2×D411yescharacteristic
511C2×D4×C59C2×D411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59C2411yescharacteristic
517C22×C4×C59C2411yescharacteristic
518C22×C4×C59C2411yescharacteristic
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59C2×D411yescharacteristic
531C2×C22⋊D59C2×D411yescharacteristic
532C2×C22⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59C2×D411yescharacteristic
539C22×Dic59C2×D411yescharacteristic
540C22×Dic59C2×D411yescharacteristic
541#11745689—22no—
542#11745689—22no—
543#11745689—22no—
544#11745689—22no—
545#11745689—22no—
546#11745689—22no—
547#11745689—42no—
548#11745689—41no—
549#11745689—41no—
550#11745689—41no—
551#11745689—41no—
552#11745689—44no—
553#11745689—44no—
554Q8×D59—41no—
555Q8×D59—41no—
556Q8×D59—42no—
557#11745687—22no—
558#11745687—22no—
559#11745687—42no—
560#11745687—42no—
561#11745687—42no—
562#11745687—44no—
563D4×D59—41no—
564D4×D59—41no—
565D4×D59—42no—
566D4×D59—42no—
567D4×D59—42no—
568D4×D59—44no—
569#11745685—41no—
570#11745685—41no—
571#11745685—41no—
572#11745685—41no—
573#11745685—41no—
574#11745685—41no—
575#11745685—41no—
576#11745685—41no—
577#11745685—44no—
578C2×D236—21no—
579C2×D236—21no—
580C2×D236—21no—
581C2×D236—21no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236—21no—
586C2×D236—21no—
587C2×D236—21no—
588C2×D236—21no—
589C2×D236—21no—
590C2×D236—41no—
591C2×D236—41no—
592C2×D236—44no—
593C2×D236C2×D411yescharacteristic
594C2×D236C2×D411yescharacteristic
595C2×D236C2×D411yescharacteristic
596C2×D236C2411yescharacteristic
597C2×D236C2411yescharacteristic
598C2×D236C2411yescharacteristic
599C2×C4×D59—22no—
600C2×C4×D59—22no—
601C2×C4×D59—22no—
602C2×C4×D59—22no—
603C2×C4×D59—22no—
604C2×C4×D59—22no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—21no—
610C2×C4×D59—21no—
611C2×C4×D59—21no—
612C2×C4×D59—21no—
613C2×C4×D59—21no—
614C2×C4×D59—44no—
615C2×C4×D59—44no—
616C2×C4×D59C2×D411yescharacteristic
617C2×C4×D59C2×D411yescharacteristic
618C2×C4×D59C2×D411yescharacteristic
619C2×C4×D59C2×D411yescharacteristic
620C2×C4×D59C2×D411yescharacteristic
621C2×C4×D59C2×D411yescharacteristic
622C2×C4×D59C2411yescharacteristic
623C2×C4×D59C2411yescharacteristic
624C2×C4×D59C2411yescharacteristic
625C2×C4×D59C2411yescharacteristic
626C2×Dic118—21no—
627C2×Dic118C2×D411yescharacteristic
628C2×Dic118C2×D411yescharacteristic
629C2×Dic118C2×D411yescharacteristic
630C2×Dic118C2411yescharacteristic
631Q16×C59—41no—
632Q16×C59—41no—
633SD16×C59—41no—
634SD16×C59—41no—
635M16×C59—41no—
636C2×C8×C59—41no—
637C2×C8×C59C2411yescharacteristic
638C2×C8×C59C2411yescharacteristic
639C2×C8×C59C2411yescharacteristic
640C2×C8×C59C2411yescharacteristic
641C4⋊C4×C59—21no—
642C4⋊C4×C59—21no—
643C4⋊C4×C59—21no—
644C4⋊C4×C59—21no—
645C4⋊C4×C59—21no—
646C4⋊C4×C59—21no—
647C4⋊C4×C59—21no—
648C4⋊C4×C59C2411yescharacteristic
649C4⋊C4×C59C2411yescharacteristic
650C4⋊C4×C59C2411yescharacteristic
651C4⋊C4×C59C2411yescharacteristic
652C22⋊C4×C59—21no—
653C22⋊C4×C59—21no—
654C22⋊C4×C59—21no—
655C22⋊C4×C59—21no—
656C22⋊C4×C59—21no—
657C22⋊C4×C59—21no—
658C22⋊C4×C59—21no—
659C22⋊C4×C59—21no—
660C22⋊C4×C59—21no—
661C42×C59—21no—
662C22⋊Dic59—21no—
663C22⋊Dic59—21no—
664C22⋊Dic59—21no—
665C22⋊Dic59—21no—
666C22⋊Dic59—21no—
667#11745672—41no—
668#11745672—41no—
669#11745671—41no—
670#11745671—41no—
671#11745671—41no—
672#11745671—41no—
673#11745669—41no—
674#11745669—41no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4—21no—
698(C2×D59)⋊C4—21no—
699(C2×D59)⋊C4—21no—
700(C2×D59)⋊C4—21no—
701C4⋊Dic59—21no—
702C4⋊Dic59—21no—
703C4⋊Dic59—21no—
704C4⋊Dic59C2411yescharacteristic
705C4⋊Dic59C2411yescharacteristic
706C4⋊Dic59C2411yescharacteristic
707C4⋊Dic59C2411yescharacteristic
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59—21no—
723C4×Dic59—21no—
724C4×Dic59—21no—
725#11745664—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731D472—41no—
732D472—41no—
733#11745660—41no—
734#11745660—41no—
735#11745659—41no—
736#11745659—41no—
737C8×D59—22no—
738C8×D59—22no—
739C8×D59—22no—
740C8×D59—22no—
741C8×D59—41no—
742C8×D59—41no—
743C23×C59—21no—
744C23×C59C22×D411yescharacteristic
745C23×C59C22×D411yescharacteristic
746C23×C59C22×D411yescharacteristic
747C22×D59—22no—
748C22×D59—22no—
749C22×D59—22no—
750C22×D59—21no—
751C22×D59—21no—
752C22×D59—21no—
753C22×D59—41no—
754C22×D59—41no—
755C22×D59—41no—
756C22×D59—41no—
757C22×D59—41no—
758C22×D59—41no—
759C22×D59—42no—
760C22×D59—42no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59C22×D411yescharacteristic
766C22×D59C22×D411yescharacteristic
767C22×D59C22×D411yescharacteristic
768C22×D59C22×D411yescharacteristic
769Q8×C59—21no—
770Q8×C59—21no—
771Q8×C59—21no—
772Q8×C59—21no—
773Q8×C59—21no—
774Q8×C59—21no—
775Q8×C59—41no—
776Q8×C59—42no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—41no—
780D4×C59—41no—
781D4×C59—41no—
782D4×C59—42no—
783D4×C59—81no—
784D4×C59—81no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—42no—
799C2×C4×C59—42no—
800C2×C4×C59—81no—
801C2×C4×C59C22×D411yescharacteristic
802C2×C4×C59C22×D411yescharacteristic
803C2×C4×C59C22×D411yescharacteristic
804C2×C4×C59C2511yescharacteristic
805C22⋊D59—41no—
806C22⋊D59—41no—
807C22⋊D59—41no—
808C22⋊D59—41no—
809C22⋊D59—41no—
810C22⋊D59—41no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—42no—
814C22⋊D59—81no—
815C22⋊D59—81no—
816C22⋊D59—81no—
817C22⋊D59—81no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C22⋊D59—81no—
822C2×Dic59—22no—
823C2×Dic59—22no—
824C2×Dic59—22no—
825C2×Dic59—21no—
826C2×Dic59—21no—
827C2×Dic59—21no—
828C2×Dic59—21no—
829C2×Dic59—21no—
830C2×Dic59—42no—
831C2×Dic59—81no—
832C2×Dic59C22×D411yescharacteristic
833C2×Dic59C22×D411yescharacteristic
834C2×Dic59C22×D411yescharacteristic
835C2×Dic59C22×D411yescharacteristic
836D236—21no—
837D236—21no—
838D236—21no—
839D236—21no—
840D236—21no—
841D236—21no—
842D236—41no—
843D236—41no—
844D236—41no—
845D236—42no—
846D236—42no—
847D236—42no—
848D236—42no—
849D236—42no—
850D236—42no—
851D236—81no—
852D236—81no—
853D236—81no—
854D236—81no—
855D236—81no—
856D236—81no—
857C4×D59—22no—
858C4×D59—22no—
859C4×D59—22no—
860C4×D59—21no—
861C4×D59—21no—
862C4×D59—21no—
863C4×D59—21no—
864C4×D59—21no—
865C4×D59—21no—
866C4×D59—22no—
867C4×D59—22no—
868C4×D59—22no—
869C4×D59—42no—
870C4×D59—42no—
871C4×D59—42no—
872C4×D59—42no—
873C4×D59—42no—
874C4×D59—42no—
875C4×D59—42no—
876C4×D59—81no—
877C4×D59—81no—
878C4×D59H(5,𝔽2)12yes—
879C4×D59H(5,𝔽2)12yes—
880Dic118—21no—
881Dic118—21no—
882Dic118—41no—
883Dic118—41no—
884Dic118—41no—
885Dic118—42no—
886C8×C59—21no—
887C8×C59—21no—
888C8×C59—21no—
889C8×C59—21no—
890C59⋊C8—21no—
891C59⋊C8—21no—
892C59⋊C8—21no—
893C59⋊C8—21no—
894#60749—591nomaximal, Sylow
895C22×C59—21no—
896C22×C59—21no—
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—21no—
901C22×C59—21no—
902C22×C59—21no—
903C22×C59—21no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59C23×D411yescharacteristic
908C2×D59—21no—
909C2×D59—21no—
910C2×D59—21no—
911C2×D59—21no—
912C2×D59—21no—
913C2×D59—21no—
914C2×D59—21no—
915C2×D59—21no—
916C2×D59—21no—
917C2×D59—21no—
918C2×D59—21no—
919C2×D59—44no—
920C2×D59—41no—
921C2×D59—41no—
922C2×D59—41no—
923C2×D59—41no—
924C2×D59—41no—
925C2×D59—41no—
926C2×D59—41no—
927C2×D59—41no—
928C2×D59—41no—
929C2×D59—82no—
930C2×D59—82no—
931C2×D59—84no—
932C2×D59—84no—
933C2×D59#53412yes—
934C4×C59—21no—
935C4×C59—21no—
936C4×C59—21no—
937C4×C59—41no—
938C4×C59—41no—
939C4×C59—41no—
940C4×C59—41no—
941C4×C59—41no—
942C4×C59—41no—
943C4×C59—41no—
944C4×C59C2×H(5,𝔽2)11yescharacteristic
945C4×C59C2×H(5,𝔽2)11yescharacteristic
946Dic59—21no—
947Dic59—21no—
948Dic59—21no—
949Dic59—41no—
950Dic59—41no—
951Dic59—41no—
952Dic59—41no—
953Dic59—41no—
954Dic59#53412yes—
955#3449—591no—
956#3449—591no—
957#3204—591no—
958#3204—591no—
959#3203—591no—
960#3203—591no—
961#3202—591no—
962#3201—591no—
963#3201—591no—
964#3201—591no—
965#3201D5911yescharacteristic, complemented
966#3200—591no—
967#3200—591no—
968#3199—591no—
969#3198—591no—
970#3198—591no—
971#3198—591no—
972#3198—591no—
973#3091—591no—
974#3091—591no—
975#3091—591no—
976#3091—591no—
977#3054—591no—
978#3054—591no—
979#3050—591no—
980#3050—591no—
981#3002—591no—
982#3002—591no—
983#3002—591no—
984#3002—591no—
985C2×#408—591no—
986C2×C59—41no—
987C2×C59—41no—
988C2×C59—41no—
989C2×C59—81no—
990C2×C59C2×#53411yescharacteristic
991C2×C59#358411yescharacteristic
992C2×C59#358411yescharacteristic
993D59—22no—
994D59—41no—
995D59—41no—
996D59—41no—
997D59—81no—
998D59—81no—
999D59—81no—
1000C22×#41—591no—
1001C22×#41—591no—
1002C22×#41—591no—
1003C2×#135—591no—
1004C2×#135—591no—
1005C2×#135—591no—
1006C2×#135—591no—
1007C22×M16—591no—
1008C23×C8—591no—
1009#537—591no—
1010#537—591no—
1011#537—591no—
1012#537—591no—
1013#537—591no—
1014#537—591no—
1015#537—591no—
1016#537C2×D5911yescharacteristic
1017#536—591no—
1018#536—591no—
1019#536—591no—
1020#536—1181no—
1021#536—1181no—
1022#536C2×D5911yescharacteristic, complemented
1023#535—591no—
1024#535—591no—
1025#535—591no—
1026#535—591no—
1027#535—1181no—
1028#535—1181no—
1029#534—1181no—
1030#534—1181no—
1031#534—1181no—
1032#534—1181no—
1033#532—1181no—
1034#532—1181no—
1035#532—1181no—
1036#532—1181no—
1037#525—591no—
1038#525—591no—
1039#525—591no—
1040#525—591no—
1041#525—591no—
1042#525—591no—
1043#525—591no—
1044#525—591no—
1045#525—1181no—
1046#525—1181no—
1047#525—1181no—
1048#525—1181no—
1049C2×#117—591no—
1050C2×#117—591no—
1051#485—591no—
1052#485—591no—
1053#485—591no—
1054#485—591no—
1055#485—591no—
1056#485—591no—
1057#485—591no—
1058#485C2×D5911yescharacteristic, complemented
1059#484—591no—
1060#484—591no—
1061#484—591no—
1062#484C2×D5911yescharacteristic, complemented
1063#483—591no—
1064#483—591no—
1065#483—591no—
1066#483C2×D5911yescharacteristic, complemented
1067#482—591no—
1068#482—591no—
1069#482—591no—
1070#482—591no—
1071#482—591no—
1072#482—591no—
1073#482—591no—
1074#482C2×D5911yescharacteristic, complemented
1075#481—591no—
1076#481—591no—
1077#481—591no—
1078#481—591no—
1079#480—591no—
1080#480—591no—
1081#480—591no—
1082#480—591no—
1083#470—591no—
1084#470—591no—
1085#470—591no—
1086#470C2×D5911yescharacteristic, complemented
1087#469—591no—
1088#469—591no—
1089#469—591no—
1090#469—591no—
1091#468—591no—
1092#468—591no—
1093#468—591no—
1094#468—591no—
1095#468—591no—
1096#468—591no—
1097#468—591no—
1098#468C2×D5911yescharacteristic, complemented
1099#467—591no—
1100#467—591no—
1101#467—591no—
1102#467C2×D5911yescharacteristic, complemented
1103#466—591no—
1104#466—591no—
1105#466—591no—
1106#466—591no—
1107#465—591no—
1108#465—591no—
1109#465—591no—
1110#465—591no—
1111#465—591no—
1112#465—591no—
1113#465—591no—
1114#465C2×D5911yescharacteristic, complemented
1115#452—591no—
1116#452—591no—
1117#452—591no—
1118#452—591no—
1119#452—591no—
1120#452—591no—
1121#452C2×D5911yescharacteristic, complemented
1122#452C2×D5911yescharacteristic, complemented
1123#451—591no—
1124#451—591no—
1125#451—591no—
1126#451C2×D5911yescharacteristic, complemented
1127#450—591no—
1128#450—591no—
1129#450—591no—
1130#450—591no—
1131#449—591no—
1132#449—591no—
1133#449—591no—
1134#449—591no—
1135#449—591no—
1136#449—591no—
1137#449—591no—
1138#449—591no—
1139#448—591no—
1140#448—591no—
1141#448—591no—
1142#448C2×D5911yescharacteristic, complemented
1143#447—591no—
1144#447—591no—
1145#447—591no—
1146#447—591no—
1147#427—591no—
1148#427—591no—
1149#427—591no—
1150#427—591no—
1151#416—591no—
1152#416—591no—
1153#416—591no—
1154#416—591no—
1155#416—591no—
1156#416—591no—
1157#416—591no—
1158#416—591no—
1159#408—591no—
1160#408—591no—
1161#408—591no—
1162#408—591no—
1163#408—591no—
1164#408—591no—
1165#408—591no—
1166#408C2×D5911yescharacteristic, complemented
1167C2×C22⋊C8—591no—
1168C2×C22⋊C8—591no—
1169C2×C22⋊C8—591no—
1170C2×C22⋊C8—591no—
1171C59#6074911yescharacteristic, complemented, Sylow
1172C2×#41—591no—
1173C2×#41—591no—
1174C2×#41—591no—
1175C2×#41—591no—
1176C2×#41—591no—
1177C2×#41—591no—
1178C2×#41—591no—
1179C2×#41—591no—
1180C2×#41—591no—
1181C2×#41—591no—
1182C2×#41—591no—
1183C2×#41—591no—
1184C2×#41—591no—
1185C2×#41—591no—
1186C2×#41—1181no—
1187C2×#41—1181no—
1188C2×#41—1181no—
1189C2×#41—1181no—
1190C2×#41—2362no—
1191C2×#41—2362no—
1192C2×#41—2362no—
1193C2×#41—2362no—
1194C2×#41—2362no—
1195C2×#41—2362no—
1196C2×#41C22×D5911yescharacteristic
1197C2×#41C22×D5911yescharacteristic
1198C22×Q8—591no—
1199C22×Q8—591no—
1200C22×Q8C22×D5911yescharacteristic
1201C22×D4—591no—
1202C22×D4—591no—
1203C22×D4—591no—
1204C22×D4—591no—
1205C22×D4—591no—
1206C22×D4—1181no—
1207C22×D4—1181no—
1208C23×C4—591no—
1209C23×C4—591no—
1210C23×C4—591no—
1211C23×C4—1181no—
1212C23×C4—1181no—
1213#135—2362no—
1214#135—2362no—
1215#135—2362no—
1216#135—2362no—
1217C2×Q16—591no—
1218C2×Q16—591no—
1219C2×Q16C22×D5911yescharacteristic
1220C2×Q16C22×D5911yescharacteristic
1221C2×SD16—591no—
1222C2×SD16—591no—
1223C2×SD16—591no—
1224C2×SD16—591no—
1225C2×SD16—591no—
1226C2×SD16—591no—
1227C2×SD16C22×D5911yescharacteristic
1228C2×SD16C22×D5911yescharacteristic
1229C2×D8—591no—
1230C2×D8—591no—
1231C2×D8—591no—
1232C2×D8—591no—
1233C2×M16—591no—
1234C2×M16—591no—
1235C2×M16—591no—
1236C2×M16—2362no—
1237C2×M16C22×D5911yescharacteristic
1238C22×C8—591no—
1239C22×C8—591no—
1240C22×C8—591no—
1241C22×C8—591no—
1242C22×C8—591no—
1243C22×C8—591no—
1244C22×C8—591no—
1245C22×C8—2362no—
1246C22×C8C22×D5911yescharacteristic
1247C4⋊Q8—21no—
1248C4⋊Q8—1181no—
1249C4⋊Q8—1181no—
1250C4⋊Q8—1181no—
1251#127—1181no—
1252#127—1181no—
1253#127—1181no—
1254#127—1181no—
1255#124—21no—
1256#124—1181no—
1257#124—1181no—
1258#124—1181no—
1259#124—1181no—
1260#124—1181no—
1261#124—1181no—
1262#124—1181no—
1263#123—21no—
1264#123—21no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277#123—1181no—
1278#123—1181no—
1279C22⋊Q8—21no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—591no—
1288C22⋊Q8—591no—
1289C22⋊Q8—591no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8—1181no—
1295C22⋊Q8—1181no—
1296C22⋊Q8—1181no—
1297C22⋊Q8C22×D5911yescharacteristic
1298C22⋊Q8C22×D5911yescharacteristic
1299C22⋊Q8C22×D5911yescharacteristic
1300C22⋊Q8C22×D5911yescharacteristic
1301C22⋊Q8C22×D5911yescharacteristic
1302C22⋊Q8C22×D5911yescharacteristic
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
1312#121—591no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
1317#121—591no—
1318#121—591no—
1319#121—591no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121C22×D5911yescharacteristic
1342#121C22×D5911yescharacteristic
1343#120—1181no—
1344#120—1181no—
1345#120—1181no—
1346#120—1181no—
1347#120—1181no—
1348#120—1181no—
1349#120—1181no—
1350#120—1181no—
1351#120—1181no—
1352#120—1181no—
1353#120—1181no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357#120—1181no—
1358#120—1181no—
1359C4×D4—1181no—
1360C4×D4—1181no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4—1181no—
1365C4×D4—1181no—
1366C4×D4—1181no—
1367C4×D4—1181no—
1368C4×D4—1181no—
1369C4×D4—1181no—
1370C4×D4—1181no—
1371C4×D4—1181no—
1372C4×D4—1181no—
1373C4×D4—1181no—
1374C4×D4—1181no—
1375#117—591no—
1376#117—591no—
1377#117—591no—
1378#117—591no—
1379#117—591no—
1380#117—591no—
1381#117—591no—
1382#117—1181no—
1383#117—1181no—
1384#117—1181no—
1385#117—1181no—
1386#117C22×D5911yescharacteristic
1387C2×C4⋊C4—591no—
1388C2×C4⋊C4—591no—
1389C2×C4⋊C4—591no—
1390C2×C4⋊C4C22×D5911yescharacteristic
1391C2×C22⋊C4—1181no—
1392C2×C22⋊C4—1181no—
1393C2×C42—1181no—
1394C2×C42—1181no—
1395#107—591no—
1396#107—591no—
1397#107—591no—
1398#107—591no—
1399#107—591no—
1400#107—591no—
1401#107C22×D5911yescharacteristic
1402#107C22×D5911yescharacteristic
1403#106—591no—
1404#106—591no—
1405#106—591no—
1406#106—591no—
1407#106—591no—
1408#106—591no—
1409#106C22×D5911yescharacteristic
1410#106C22×D5911yescharacteristic
1411#103—591no—
1412#103—591no—
1413#103—591no—
1414#103—591no—
1415#103—591no—
1416#103—591no—
1417#103—591no—
1418#103—591no—
1419#103—591no—
1420#103—591no—
1421#103C22×D5911yescharacteristic
1422#103C22×D5911yescharacteristic
1423#103C22×D5911yescharacteristic
1424#103C22×D5911yescharacteristic
1425#103C22×D5911yescharacteristic
1426#103C22×D5911yescharacteristic
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434#102—591no—
1435#102—591no—
1436#102—591no—
1437#102—591no—
1438#102—591no—
1439#102—591no—
1440#102—591no—
1441#102C22×D5911yescharacteristic
1442#102C22×D5911yescharacteristic
1443C22⋊C8—591no—
1444C22⋊C8—591no—
1445C22⋊C8—591no—
1446C22⋊C8—591no—
1447C22⋊C8—591no—
1448C22⋊C8—591no—
1449C22⋊C8—591no—
1450C22⋊C8—591no—
1451C22⋊C8—591no—
1452C22⋊C8—591no—
1453C22⋊C8—591no—
1454C22⋊C8—591no—
1455C22⋊C8C22×D5911yescharacteristic
1456C22⋊C8C22×D5911yescharacteristic
1457C22⋊C8C22×D5911yescharacteristic
1458C22⋊C8C22×D5911yescharacteristic
1459C24—591no—
1460C24—591no—
1461C24—591no—
1462C24—1181no—
1463C24—1181no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—41no—
1468#41—1182no—
1469#41—1182no—
1470#41—1182no—
1471#41—1182no—
1472#41—1182no—
1473#41—1182no—
1474#41—1182no—
1475#41—1182no—
1476#41—2361no—
1477#41—2361no—
1478#41—2361no—
1479#41—2361no—
1480#41—2361no—
1481#41—2361no—
1482#41—2361no—
1483#41—2361no—
1484#41—2364no—
1485#41—2362no—
1486#41—2362no—
1487#41—2362no—
1488#41—2362no—
1489#41—2364no—
1490#41—2361no—
1491#41—2361no—
1492#41—2361no—
1493#41—2361no—
1494#41—2364no—
1495#41—2364no—
1496C2×Q8—21no—
1497C2×Q8—41no—
1498C2×Q8—41no—
1499C2×Q8—591no—
1500C2×Q8—591no—
1501C2×Q8—591no—
1502C2×Q8—591no—
1503C2×Q8—1181no—
1504C2×Q8—2362no—
1505C2×Q8—2361no—
1506C2×Q8—2361no—
1507C2×Q8D4×D5911yescharacteristic
1508C2×Q8C23×D5911yescharacteristic
1509C2×Q8C23×D5911yescharacteristic
1510C2×Q8C23×D5911yescharacteristic
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—591no—
1515C2×D4—591no—
1516C2×D4—591no—
1517C2×D4—591no—
1518C2×D4—591no—
1519C2×D4—591no—
1520C2×D4—591no—
1521C2×D4—591no—
1522C2×D4—591no—
1523C2×D4—591no—
1524C2×D4—591no—
1525C2×D4—591no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1181no—
1541C2×D4—1181no—
1542C2×D4—1181no—
1543C2×D4—1181no—
1544C2×D4—1181no—
1545C2×D4—1181no—
1546C2×D4—1181no—
1547C2×D4—1181no—
1548C2×D4—1181no—
1549C2×D4—2361no—
1550C2×D4—2361no—
1551C2×D4—2364no—
1552C2×D4—2361no—
1553C2×D4—2361no—
1554C2×D4—2362no—
1555C2×D4—2362no—
1556C2×D4—2362no—
1557C2×D4—2364no—
1558C2×D4D4×D5911yescharacteristic
1559C2×D4D4×D5911yescharacteristic
1560C2×D4D4×D5911yescharacteristic
1561C2×D4C23×D5911yescharacteristic
1562C22×C4—21no—
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—591no—
1566C22×C4—591no—
1567C22×C4—591no—
1568C22×C4—591no—
1569C22×C4—591no—
1570C22×C4—591no—
1571C22×C4—591no—
1572C22×C4—591no—
1573C22×C4—591no—
1574C22×C4—591no—
1575C22×C4—591no—
1576C22×C4—591no—
1577C22×C4—591no—
1578C22×C4—1182no—
1579C22×C4—1182no—
1580C22×C4—1182no—
1581C22×C4—1182no—
1582C22×C4—1182no—
1583C22×C4—1182no—
1584C22×C4—1181no—
1585C22×C4—1181no—
1586C22×C4—1181no—
1587C22×C4—1181no—
1588C22×C4—1181no—
1589C22×C4—1181no—
1590C22×C4—1181no—
1591C22×C4—1181no—
1592C22×C4—1181no—
1593C22×C4—1181no—
1594C22×C4—1181no—
1595C22×C4—2364no—
1596C22×C4—2364no—
1597C22×C4C23×D5911yescharacteristic
1598C22×C4C23×D5911yescharacteristic
1599C22×C4C23×D5911yescharacteristic
1600Q16—41no—
1601Q16—41no—
1602Q16—2361no—
1603Q16—2361no—
1604SD16—41no—
1605SD16—41no—
1606SD16—2361no—
1607SD16—2361no—
1608SD16—2361no—
1609SD16—2361no—
1610SD16—2361no—
1611SD16—2361no—
1612D8—2361no—
1613D8—2361no—
1614D8—2361no—
1615D8—2361no—
1616M16—41no—
1617M16—2361no—
1618M16—2361no—
1619M16—2361no—
1620C2×C8—41no—
1621C2×C8—591no—
1622C2×C8—591no—
1623C2×C8—591no—
1624C2×C8—591no—
1625C2×C8—1182no—
1626C2×C8—1182no—
1627C2×C8—1182no—
1628C2×C8—1182no—
1629C2×C8—2361no—
1630C2×C8—2361no—
1631C2×C8—2361no—
1632C2×C8C23×D5911yescharacteristic
1633C2×C8C23×D5911yescharacteristic
1634C2×C8C23×D5911yescharacteristic
1635C2×C8C23×D5911yescharacteristic
1636C4⋊C4—21no—
1637C4⋊C4—21no—
1638C4⋊C4—21no—
1639C4⋊C4—21no—
1640C4⋊C4—21no—
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—591no—
1644C4⋊C4—591no—
1645C4⋊C4—591no—
1646C4⋊C4—591no—
1647C4⋊C4—1181no—
1648C4⋊C4—1181no—
1649C4⋊C4—1181no—
1650C4⋊C4—1181no—
1651C4⋊C4—1181no—
1652C4⋊C4—1181no—
1653C4⋊C4—1181no—
1654C4⋊C4—1181no—
1655C4⋊C4—1181no—
1656C4⋊C4—1181no—
1657C4⋊C4—1181no—
1658C4⋊C4—1181no—
1659C4⋊C4—1181no—
1660C4⋊C4C23×D5911yescharacteristic
1661C4⋊C4C23×D5911yescharacteristic
1662C4⋊C4C23×D5911yescharacteristic
1663C4⋊C4C23×D5911yescharacteristic
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4—1181no—
1689C22⋊C4—1181no—
1690C22⋊C4—1181no—
1691C22⋊C4—1181no—
1692C22⋊C4—1181no—
1693C22⋊C4—1181no—
1694C22⋊C4—1181no—
1695C22⋊C4—1181no—
1696C22⋊C4—1181no—
1697C22⋊C4—1181no—
1698C22⋊C4—1181no—
1699C22⋊C4—1181no—
1700C22⋊C4—1181no—
1701C22⋊C4—1181no—
1702C22⋊C4—1181no—
1703C22⋊C4—1181no—
1704C42—21no—
1705C42—1181no—
1706C42—1181no—
1707C42—1181no—
1708C42—1181no—
1709C42—1181no—
1710C42—1181no—
1711C42—1181no—
1712C23—21no—
1713C23—591no—
1714C23—591no—
1715C23—591no—
1716C23—591no—
1717C23—1182no—
1718C23—1182no—
1719C23—1182no—
1720C23—1181no—
1721C23—1181no—
1722C23—1181no—
1723C23—4721no—
1724C23—4721no—
1725C23—4721no—
1726C23—4721no—
1727C23—2361no—
1728C23—2361no—
1729C23—2361no—
1730C23—2361no—
1731C23—2361no—
1732C23—2361no—
1733C23—2362no—
1734C23—2362no—
1735C23C2×D4×D5911yescharacteristic
1736C23C2×D4×D5911yescharacteristic
1737C23C2×D4×D5911yescharacteristic
1738Q8—21no—
1739Q8—21no—
1740Q8—21no—
1741Q8—21no—
1742Q8—21no—
1743Q8—21no—
1744Q8—41no—
1745Q8—42no—
1746Q8—1181no—
1747Q8—1181no—
1748Q8—2361no—
1749Q8—2361no—
1750Q8—2361no—
1751Q8—2362no—
1752D4—21no—
1753D4—21no—
1754D4—41no—
1755D4—41no—
1756D4—41no—
1757D4—42no—
1758D4—81no—
1759D4—81no—
1760D4—1181no—
1761D4—1181no—
1762D4—1181no—
1763D4—1181no—
1764D4—1181no—
1765D4—1181no—
1766D4—4721no—
1767D4—4721no—
1768D4—4721no—
1769D4—4721no—
1770D4—4721no—
1771D4—4721no—
1772D4—4721no—
1773D4—4721no—
1774D4—4721no—
1775D4—4721no—
1776D4—4721no—
1777D4—4721no—
1778D4—4721no—
1779D4—4721no—
1780D4—2361no—
1781D4—2361no—
1782D4—2361no—
1783D4—2362no—
1784D4—2362no—
1785D4—2362no—
1786D4—2362no—
1787D4—2362no—
1788D4—2362no—
1789D4—2361no—
1790D4—2361no—
1791D4—2361no—
1792D4—2361no—
1793D4—2361no—
1794D4—2361no—
1795D4—2362no—
1796D4—2362no—
1797D4—2362no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—42no—
1812C2×C4—42no—
1813C2×C4—81no—
1814C2×C4—591no—
1815C2×C4—592no—
1816C2×C4—592no—
1817C2×C4—591no—
1818C2×C4—591no—
1819C2×C4—591no—
1820C2×C4—1182no—
1821C2×C4—1182no—
1822C2×C4—1182no—
1823C2×C4—1182no—
1824C2×C4—1182no—
1825C2×C4—1182no—
1826C2×C4—1182no—
1827C2×C4—1182no—
1828C2×C4—1182no—
1829C2×C4—1181no—
1830C2×C4—1181no—
1831C2×C4—1181no—
1832C2×C4—1181no—
1833C2×C4—1181no—
1834C2×C4—1181no—
1835C2×C4—1181no—
1836C2×C4—1181no—
1837C2×C4—1181no—
1838C2×C4—1181no—
1839C2×C4—1181no—
1840C2×C4—4721no—
1841C2×C4—4721no—
1842C2×C4—4721no—
1843C2×C4—2362no—
1844C2×C4—2362no—
1845C2×C4—2362no—
1846C2×C4—2362no—
1847C2×C4—2362no—
1848C2×C4—2362no—
1849C2×C4—2362no—
1850C2×C4—2362no—
1851C2×C4C2×D4×D5911yescharacteristic
1852C2×C4C2×D4×D5911yescharacteristic
1853C2×C4C2×D4×D5911yescharacteristic
1854C2×C4C24×D5911yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—1181no—
1860C8—1181no—
1861C8—1181no—
1862C8—1181no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—592no—
1876C22—1181no—
1877C22—1181no—
1878C22—1181no—
1879C22—1181no—
1880C22—1181no—
1881C22—1181no—
1882C22—1181no—
1883C22—1181no—
1884C22—1181no—
1885C22—1181no—
1886C22—1181no—
1887C22—4722no—
1888C22—4722no—
1889C22—4724no—
1890C22—4724no—
1891C22—2364no—
1892C22—2361no—
1893C22—2361no—
1894C22—2361no—
1895C22—2361no—
1896C22—2361no—
1897C22—2361no—
1898C22—2361no—
1899C22—2361no—
1900C22—2361no—
1901C22C22×D4×D5911yescharacteristic
1902C4—21no—
1903C4—21no—
1904C4—21no—
1905C4—41no—
1906C4—41no—
1907C4—41no—
1908C4—41no—
1909C4—41no—
1910C4—41no—
1911C4—41no—
1912C4—592no—
1913C4—1181no—
1914C4—1181no—
1915C4—1181no—
1916C4—2361no—
1917C4—2361no—
1918C4—2361no—
1919C4—2361no—
1920C4—2361no—
1921C4H(5,𝔽2)×D5911yescharacteristic
1922C4H(5,𝔽2)×D5911yescharacteristic
1923C2—41no—
1924C2—41no—
1925C2—41no—
1926C2—81no—
1927C2—1182no—
1928C2—4721no—
1929C2—4721no—
1930C2—4721no—
1931C2—2361no—
1932C2—2361no—
1933C2—2361no—
1934C2#534×D5911yescharacteristic
1935C2#2143886611yescharacteristic
1936C2#2143886811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3201C2
socleC22×C59C23×D4
hypercenter#3201D59
hypocenterC59#60749
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3201

Complements

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

NH ≅ G/Ntype
1. #21437428C2semidirect
2. #21437424C2semidirect
3. #21435006C2semidirect
4. #21435004C2semidirect
5. #21435000C2semidirect
6. #21434997C2semidirect
7. #21434989C2semidirect
8. #21434981C2semidirect
9. #21434979C2semidirect
10. #21434978C2semidirect
11. #21434967C2semidirect
12. #21434966C2semidirect
13. #21434960C2semidirect
14. #21434951C2semidirect
15. #21434950C2semidirect
16. #21434949C2semidirect
17. #21434942C2semidirect
18. #21434014C2semidirect
19. #21434012C2semidirect
20. #21434010C2semidirect
21. #21434008C2semidirect
22. #21433707C2semidirect
23. #21433700C2semidirect
24. #21433679C2semidirect
25. #21433672C2semidirect
26. #21433319C2semidirect
27. #21433317C2semidirect
28. #21433317C2semidirect
29. #21433313C2semidirect
30. #408×D59C2semidirect
31. C59×#3201C2semidirect
32. C22×#11745689C22semidirect
34. C2×#41×D59C22semidirect
39. C2×M16×D59C22semidirect
40. C22×C8×D59C22semidirect
41. #16837983C22semidirect
44. #16837982C22semidirect
45. #16837982C22semidirect
47. #16837980C22semidirect
52. #16837975C22semidirect
57. #16837968C22semidirect
58. #16837966C22semidirect
71. #16837915C22semidirect
72. #16837915C22semidirect
73. #16837915C22semidirect
76. #16837912C22semidirect
79. C2×#14273685C22semidirect
80. #117×D59C22semidirect
81. #16837744C22semidirect
82. #16837743C22semidirect
83. #16837742C22semidirect
84. #16837742C22semidirect
85. #16837741C22semidirect
86. #16837741C22semidirect
87. #16837740C22semidirect
88. #16837739C22semidirect
89. #16837736C22semidirect
90. #16837735C22semidirect
91. #16837734C22semidirect
92. #16837731C22semidirect
93. #16837730C22semidirect
94. #16837729C22semidirect
95. #16837729C22semidirect
96. #16837728C22semidirect
97. #16837728C22semidirect
98. #16837727C22semidirect
99. #16837726C22semidirect
100. #16837723C22semidirect
101. #16837722C22semidirect
102. #16837721C22semidirect
103. #16837720C22semidirect
104. #16837719C22semidirect
105. #16837717C22semidirect
106. #16837716C22semidirect
107. #16837715C22semidirect
108. #16837714C22semidirect
109. #16837659C22semidirect
110. #16837658C22semidirect
111. #16837657C22semidirect
112. #16837656C22semidirect
113. #16837655C22semidirect
114. #16837654C22semidirect
115. #16837653C22semidirect
116. #16837651C22semidirect
117. #16837651C22semidirect
118. #16837650C22semidirect
119. #16837650C22semidirect
120. #16837649C22semidirect
121. #16837648C22semidirect
122. #16837645C22semidirect
123. #16837642C22semidirect
124. #16837641C22semidirect
125. #16837640C22semidirect
126. #16837639C22semidirect
127. #16837638C22semidirect
128. #16837637C22semidirect
129. #16837636C22semidirect
130. #16837634C22semidirect
131. #16837634C22semidirect
132. #16837633C22semidirect
133. #16837633C22semidirect
134. #16837632C22semidirect
135. #16837631C22semidirect
136. #16837628C22semidirect
137. #16837567C22semidirect
138. #16837567C22semidirect
139. #16837563C22semidirect
140. #16837563C22semidirect
141. #16837562C22semidirect
142. #16837562C22semidirect
143. #16837558C22semidirect
144. #16837556C22semidirect
145. #16837556C22semidirect
146. #16837555C22semidirect
147. #16837552C22semidirect
148. #16837551C22semidirect
149. #16837551C22semidirect
150. #16837550C22semidirect
151. #16837550C22semidirect
152. #16837549C22semidirect
153. #16837549C22semidirect
154. #16837547C22semidirect
155. #16837547C22semidirect
156. #16837546C22semidirect
157. #16837546C22semidirect
158. #16837542C22semidirect
159. #16837542C22semidirect
160. #16837541C22semidirect
161. #16837538C22semidirect
162. #16837537C22semidirect
163. #16837537C22semidirect
164. #16837535C22semidirect
165. #16837439C22semidirect
166. #16837439C22semidirect
167. #16837437C22semidirect
168. #16837437C22semidirect
169. #16837397C22semidirect
170. #16837397C22semidirect
171. #16837397C22semidirect
172. #16837397C22semidirect
173. #16837397C22semidirect
174. #16837397C22semidirect
175. #16837395C22semidirect
176. #16837395C22semidirect
177. #16837370C22semidirect
178. #16837369C22semidirect
179. #16837368C22semidirect
182. #16837367C22semidirect
183. #16837367C22semidirect
184. C22⋊C8×D59C22semidirect
185. C22⋊C8×D59C22semidirect
186. C22⋊C8×D59C22semidirect
187. C22⋊C8×D59C22semidirect
189. C59×#536C22semidirect
190. C59×#485C22semidirect
191. C59×#484C22semidirect
192. C59×#483C22semidirect
193. C59×#482C22semidirect
194. C59×#470C22semidirect
195. C59×#468C22semidirect
196. C59×#467C22semidirect
197. C59×#465C22semidirect
198. C59×#452C22semidirect
199. C59×#452C22semidirect
200. C59×#451C22semidirect
201. C59×#448C22semidirect
202. C59×#408C22semidirect
965. #3201D59semidirect
1022. #536C2×D59semidirect
1058. #485C2×D59semidirect
1062. #484C2×D59semidirect
1066. #483C2×D59semidirect
1074. #482C2×D59semidirect
1086. #470C2×D59semidirect
1098. #468C2×D59semidirect
1102. #467C2×D59semidirect
1114. #465C2×D59semidirect
1121. #452C2×D59semidirect
1122. #452C2×D59semidirect
1126. #451C2×D59semidirect
1142. #448C2×D59semidirect
1166. #408C2×D59semidirect
1171. C59#60749semidirect

Maximal subgroups

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

subgroupindex
#214374282
#214374242
#214350062
#214350042
#214350002
#214349972
#214349892
#214349812
#214349792
#214349782
#214349672
#214349662
#214349602
#214349512
#214349502
#214349492
#214349422
#214340142
#214340122
#214340102
#214340082
#214337072
#214337002
#214336792
#214336722
#214333192
#214333172
#214333132
#408×D592
C59×#32012
#6074959