Finite Group Databasebeta

← #29483898

Subgroups — #29483898

Order 15104.

1900 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438429C211yesmaximal, characteristic, complemented
2#21438195C211yesmaximal, characteristic, complemented
3#21437181C211yesmaximal, characteristic, complemented
4#21437135C211yesmaximal, characteristic, complemented
5#21436859C211yesmaximal, characteristic, complemented
6#21436822C211yesmaximal, characteristic, complemented
7#21436331C211yesmaximal, characteristic, complemented
8#21436316C211yesmaximal, characteristic, complemented
9#21436245C211yesmaximal, characteristic, complemented
10#21436236C211yesmaximal, characteristic, complemented
11#21436110C211yesmaximal, characteristic, complemented
12#21436101C211yesmaximal, characteristic, complemented
13#21435731C211yesmaximal, characteristic, complemented
14#21435714C211yesmaximal, characteristic, complemented
15#21435680C211yesmaximal, characteristic, complemented
16#21435634C211yesmaximal, characteristic, complemented
17#21435590C211yesmaximal, characteristic, complemented
18#21435589C211yesmaximal, characteristic, complemented
19#21435533C211yesmaximal, characteristic, complemented
20#21435505C211yesmaximal, characteristic, complemented
21#21435492C211yesmaximal, characteristic, complemented
22#21435195C211yesmaximal, characteristic, complemented
23#21435145C211yesmaximal, characteristic, complemented
24#21434385C211yesmaximal, characteristic, complemented
25#21434292C211yesmaximal, characteristic, complemented
26#21434207C211yesmaximal, characteristic, complemented
27#21433630C211yesmaximal, characteristic, complemented
28#21433612C211yesmaximal, characteristic, complemented
29#21433572C211yesmaximal, characteristic, complemented
30#21433268C211yesmaximal, characteristic, complemented
31C59×#3217C211yesmaximal, characteristic, complemented
32C2×#14273756C2211yescharacteristic, complemented
33C2×#14273753C2211yescharacteristic, complemented
34C2×#14273753C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×#14273746C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic, complemented
38#16838139—21no—
39#16838139—21no—
40#16838138C2211yescharacteristic
41#16838135—21no—
42#16838134C2211yescharacteristic, complemented
43#16838129C2211yescharacteristic, complemented
44#16838116C2211yescharacteristic, complemented
45#16838115—21no—
46#16838105C2211yescharacteristic, complemented
47#16838101—21no—
48#16838086C2211yescharacteristic, complemented
49#16838085—21no—
50#16838072C2211yescharacteristic
51#16838072C2211yescharacteristic
52#16838070C2211yescharacteristic, complemented
53#16838062C2211yescharacteristic, complemented
54#16838060C2211yescharacteristic, complemented
55#16838046—21no—
56#16838046C2211yescharacteristic
57#16838046C2211yescharacteristic
58#16838037C2211yescharacteristic
59D4×C22⋊D59—21no—
60D4×C22⋊D59C2211yescharacteristic
61D4×C22⋊D59C2211yescharacteristic
62#16838024C2211yescharacteristic, complemented
63#16838020—21no—
64#16838006—21no—
65#16838006C2211yescharacteristic
66#16838006C2211yescharacteristic
67#16838004—21no—
68#16838003C2211yescharacteristic, complemented
69#16837965—21no—
70#16837965C2211yescharacteristic
71#16837965C2211yescharacteristic
72#16837961—21no—
73#16837961—21no—
74#16837936C2211yescharacteristic
75#16837936C2211yescharacteristic
76#16837935—21no—
77#16837935—21no—
78#16837881C2211yescharacteristic, complemented
79#16837878C2211yescharacteristic, complemented
80C4×#11745685C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837783C2211yescharacteristic, complemented
84#16837777C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837755C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837727C2211yescharacteristic
91#16837725C2211yescharacteristic, complemented
92#16837724C2211yescharacteristic, complemented
93#16837719C2211yescharacteristic, complemented
94#16837714C2211yescharacteristic, complemented
95#16837710C2211yescharacteristic, complemented
96#16837709C2211yescharacteristic, complemented
97#16837706C2211yescharacteristic, complemented
98#16837704C2211yescharacteristic, complemented
99#16837703C2211yescharacteristic, complemented
100#16837702C2211yescharacteristic, complemented
101#16837700C2211yescharacteristic, complemented
102#16837699C2211yescharacteristic, complemented
103#16837690C2211yescharacteristic, complemented
104#16837680C2211yescharacteristic, complemented
105#16837658C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic, complemented
108#16837653C2211yescharacteristic
109#16837652C2211yescharacteristic, complemented
110#16837650C2211yescharacteristic
111#16837646C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837635C2211yescharacteristic, complemented
116#16837628C2211yescharacteristic, complemented
117#16837625C2211yescharacteristic, complemented
118#16837624C2211yescharacteristic, complemented
119#16837623C2211yescharacteristic, complemented
120#16837623C2211yescharacteristic, complemented
121#16837622C2211yescharacteristic, complemented
122#16837621C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837618C2211yescharacteristic, complemented
126#16837617C2211yescharacteristic, complemented
127#16837615C2211yescharacteristic, complemented
128#16837614C2211yescharacteristic, complemented
129#16837601C2211yescharacteristic, complemented
130#16837601C2211yescharacteristic, complemented
131#16837600C2211yescharacteristic, complemented
132#16837599C2211yescharacteristic
133#16837599C2211yescharacteristic, complemented
134#16837599C2211yescharacteristic, complemented
135#16837599C2211yescharacteristic, complemented
136#16837595C2211yescharacteristic, complemented
137#16837595C2211yescharacteristic, complemented
138#16837595C2211yescharacteristic, complemented
139#16837594C2211yescharacteristic
140#16837594C2211yescharacteristic, complemented
141#16837594C2211yescharacteristic, complemented
142#16837594C2211yescharacteristic, complemented
143#16837566C2211yescharacteristic, complemented
144#16837561C2211yescharacteristic, complemented
145#16837551C2211yescharacteristic, complemented
146#16837549C2211yescharacteristic
147#16837548C2211yescharacteristic, complemented
148#16837548C2211yescharacteristic, complemented
149#16837544C2211yescharacteristic, complemented
150#16837544C2211yescharacteristic, complemented
151#16837544C2211yescharacteristic, complemented
152#16837539C2211yescharacteristic, complemented
153#16837539C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837530C2211yescharacteristic, complemented
158#16837530C2211yescharacteristic, complemented
159#16837515C2211yescharacteristic, complemented
160#16837514C2211yescharacteristic, complemented
161#16837510C2211yescharacteristic, complemented
162#16837504C2211yescharacteristic, complemented
163#16837504C2211yescharacteristic, complemented
164#16837503C2211yescharacteristic, complemented
165#16837499C2211yescharacteristic, complemented
166#16837499C2211yescharacteristic, complemented
167#16837493C2211yescharacteristic, complemented
168#16837493C2211yescharacteristic, complemented
169SD16×Dic59C2211yescharacteristic, complemented
170D8×Dic59C2211yescharacteristic, complemented
171#16837477C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837476C2211yescharacteristic, complemented
174#16837476C2211yescharacteristic, complemented
175#16837475C2211yescharacteristic, complemented
176#16837475C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837462C2211yescharacteristic, complemented
179#16837427C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837426C2211yescharacteristic, complemented
182#16837407C2211yescharacteristic, complemented
183#16837407C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic, complemented
185#16837400C2211yescharacteristic, complemented
186#16837395C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C2×#127×C59C2211yescharacteristic
189C59×#529C2211yescharacteristic, complemented
190C59×#496C2211yescharacteristic
191C59×#496C2211yescharacteristic, complemented
192C59×#490C2211yescharacteristic
193C59×#490C2211yescharacteristic, complemented
194C59×#460C2211yescharacteristic, complemented
195C59×#460C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#459C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#450C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#447C2211yescharacteristic, complemented
202C59×#432C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745687—21no—
205C2×#11745687C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C22×C22⋊D59—21no—
210C22×C22⋊D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214#14273756—42no—
215#14273753—42no—
216#14273753—42no—
217#14273751—42no—
218#14273746—42no—
219C2×Dic236C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229SD16×D59—42no—
230C2×D472C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745664C2311yescharacteristic
237C2×#11745664C2311yescharacteristic
238C2×#11745659C2311yescharacteristic
239C2×#11745659C2311yescharacteristic
240C2×C8×D59C2311yescharacteristic
241C2×C8×D59C2311yescharacteristic
242#14273726—21no—
243#14273726C2311yescharacteristic
244#14273723—21no—
245#14273723—21no—
246#14273723C2311yescharacteristic
247#14273723C2311yescharacteristic
248#14273723C2311yescharacteristic
249#14273722—21no—
250#14273721—21no—
251#14273721—21no—
252#14273721D411yescharacteristic
253#14273721D411yescharacteristic
254#14273720—21no—
255#14273719D411yescharacteristic
256#14273719C2311yescharacteristic
257#14273718C2311yescharacteristic
258#14273717—21no—
259#14273717—21no—
260#14273717—21no—
261#14273716C2311yescharacteristic
262#14273715—21no—
263#14273715D411yescharacteristic
264#14273715C2311yescharacteristic
265#14273714—21no—
266#14273714—21no—
267#14273714C2311yescharacteristic
268#14273714C2311yescharacteristic
269#14273713—21no—
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273712—21no—
274#14273712—21no—
275#14273711—21no—
276#14273710—21no—
277#14273710—21no—
278#14273710D411yescharacteristic
279#14273710D411yescharacteristic
280#14273709—21no—
281#14273709—21no—
282#14273709—21no—
283#14273708—21no—
284#14273708—21no—
285#14273708—21no—
286#14273708—21no—
287#14273708—21no—
288#14273708—21no—
289#14273708—21no—
290#14273708—21no—
291#14273706D411yescharacteristic
292#14273706C2311yescharacteristic
293#14273705—21no—
294#14273705—21no—
295#14273704—21no—
296#14273703C2311yescharacteristic
297#14273702—21no—
298#14273702C2311yescharacteristic
299#14273702C2311yescharacteristic
300#14273701—21no—
301#14273701D411yescharacteristic
302#14273701C2311yescharacteristic
303#14273700—21no—
304#14273700—21no—
305#14273700—21no—
306#14273700—21no—
307#14273699—21no—
308#14273699—21no—
309#14273699—21no—
310#14273699—21no—
311#14273699—21no—
312#14273699—21no—
313#14273699—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273698—21no—
326#14273698—21no—
327#14273698C2311yescharacteristic
328#14273698C2311yescharacteristic
329#14273698C2311yescharacteristic
330#14273698C2311yescharacteristic
331#14273698C2311yescharacteristic
332#14273696—21no—
333#14273696—21no—
334#14273696—21no—
335#14273696—21no—
336#14273695—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344Q8×Dic59C2311yescharacteristic
345C4×Dic118—21no—
346C4×Dic118C2311yescharacteristic
347C4×Dic118C2311yescharacteristic
348C4×Dic118C2311yescharacteristic
349C4×Dic118C2311yescharacteristic
350#14273692—21no—
351#14273692—21no—
352#14273692C2311yescharacteristic
353#14273692C2311yescharacteristic
354C4×D236C2311yescharacteristic
355C4×D236C2311yescharacteristic
356C4×D236C2311yescharacteristic
357C4×D236C2311yescharacteristic
358D4×Dic59—21no—
359D4×Dic59—21no—
360D4×Dic59C2311yescharacteristic
361D4×Dic59C2311yescharacteristic
362D4×Dic59C2311yescharacteristic
363D4×Dic59C2311yescharacteristic
364D4×Dic59C2311yescharacteristic
365#14273689—21no—
366#14273689—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59C2311yescharacteristic
372C4×C22⋊D59C2311yescharacteristic
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377#14273686C2311yescharacteristic
378#14273685—21no—
379#14273685—21no—
380#14273685C2311yescharacteristic
381#14273684—21no—
382#14273684—21no—
383#14273684—21no—
384#14273684C2311yescharacteristic
385#14273684C2311yescharacteristic
386#14273683—21no—
387#14273683—21no—
388C2×Dic59⋊C4—21no—
389C4⋊C4×D59C2311yescharacteristic
390C2×C22⋊Dic59—21no—
391C2×C22⋊Dic59—21no—
392C42×D59—21no—
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404C4⋊(C59⋊C8)C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C22×D4×C59—21no—
442C22×D4×C59—21no—
443C22×D4×C59C2311yescharacteristic
444C22×D4×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453#127×C59—21no—
454#127×C59—21no—
455#127×C59C2311yescharacteristic
456#127×C59C2311yescharacteristic
457#127×C59C2311yescharacteristic
458#127×C59C2311yescharacteristic
459#126×C59—21no—
460#125×C59C2311yescharacteristic
461#124×C59C2311yescharacteristic
462#123×C59—21no—
463C22⋊Q8×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465C4×Q8×C59C2311yescharacteristic
466C4×D4×C59—21no—
467C4×D4×C59C2311yescharacteristic
468#117×C59—21no—
469C2×C42×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C2×Q8×C59C2411yescharacteristic
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—41no—
501C2×D4×C59—41no—
502C2×D4×C59—41no—
503C2×D4×C59—41no—
504C2×D4×C59—82no—
505C2×D4×C59—82no—
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C22×C4×C59—21no—
512C22×C4×C59C2×D411yescharacteristic
513C22×C4×C59C2×D411yescharacteristic
514C22×C4×C59C2411yescharacteristic
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
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⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—82no—
534C2×C22⋊D59—82no—
535C2×C22⋊D59C2×D411yescharacteristic
536C2×C22⋊D59C2×D411yescharacteristic
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59—21no—
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59—21no—
544C22×Dic59—21no—
545Q8×D59—22no—
546Q8×D59—41no—
547#11745687—22no—
548#11745687—41no—
549#11745687—41no—
550#11745687—41no—
551#11745687—41no—
552#11745687—41no—
553#11745687—82no—
554D4×D59—41no—
555D4×D59—41no—
556D4×D59—41no—
557D4×D59—41no—
558D4×D59—82no—
559#11745685—22no—
560#11745685—41no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236C2×D411yescharacteristic
564C2×D236C2411yescharacteristic
565C2×D236C2411yescharacteristic
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59C2411yescharacteristic
573C2×C4×D59C2411yescharacteristic
574C2×Dic118—21no—
575C2×Dic118—21no—
576C2×Dic118C2×D411yescharacteristic
577C2×Dic118C2411yescharacteristic
578C2×Dic118C2411yescharacteristic
579SD16×C59—41no—
580SD16×C59—41no—
581SD16×C59—41no—
582SD16×C59—41no—
583D8×C59—41no—
584D8×C59—41no—
585D8×C59—41no—
586D8×C59—41no—
587C2×C8×C59C2411yescharacteristic
588C2×C8×C59C2411yescharacteristic
589C2×C8×C59C2411yescharacteristic
590C2×C8×C59C2411yescharacteristic
591C4⋊C4×C59—21no—
592C4⋊C4×C59—21no—
593C4⋊C4×C59—21no—
594C4⋊C4×C59—21no—
595C4⋊C4×C59C2411yescharacteristic
596C4⋊C4×C59C2411yescharacteristic
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C42×C59—21no—
603C42×C59C2×D411yescharacteristic
604C42×C59C2×D411yescharacteristic
605C42×C59C2411yescharacteristic
606C42×C59C2411yescharacteristic
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59C2×D411yescharacteristic
624C22⋊Dic59C2×D411yescharacteristic
625#11745672—41no—
626#11745671—41no—
627#11745670—22no—
628#11745670—22no—
629#11745670—22no—
630#11745670—22no—
631#11745670—41no—
632#11745669—41no—
633#11745669—41no—
634#11745669—41no—
635#11745669—41no—
636#11745669—41no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4C2×D411yescharacteristic
650(C2×D59)⋊C4C2×D411yescharacteristic
651(C2×D59)⋊C4C2×D411yescharacteristic
652(C2×D59)⋊C4C2×D411yescharacteristic
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59C2×D411yescharacteristic
660C4⋊Dic59C2×D411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662C4⋊Dic59C2411yescharacteristic
663C4⋊Dic59C2411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684Dic59⋊C4C2×D411yescharacteristic
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692C4×Dic59—21no—
693C4×Dic59C2411yescharacteristic
694C4×Dic59C2411yescharacteristic
695#11745664—41no—
696#11745664—41no—
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701Dic236—22no—
702D472—41no—
703#11745660—22no—
704#11745660—41no—
705#11745659—41no—
706#11745659—41no—
707C8×D59—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—21no—
714C23×C59—42no—
715C23×C59—42no—
716C23×C59—81no—
717C23×C59—81no—
718C23×C59—81no—
719C23×C59—81no—
720C23×C59C22×D411yescharacteristic
721C22×D59—21no—
722C22×D59—21no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59C22×D411yescharacteristic
730C22×D59C22×D411yescharacteristic
731Q8×C59—21no—
732Q8×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—42no—
744D4×C59—42no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59—81no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59—81no—
752D4×C59—81no—
753D4×C59—81no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—41no—
760C2×C4×C59—41no—
761C2×C4×C59—81no—
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C2511yescharacteristic
768C22⋊D59—41no—
769C22⋊D59—41no—
770C22⋊D59—42no—
771C22⋊D59—42no—
772C22⋊D59—42no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C22⋊D59—81no—
784C22⋊D59—81no—
785C22⋊D59—81no—
786C22⋊D59—81no—
787C22⋊D59—81no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—42no—
795C2×Dic59—81no—
796C2×Dic59—81no—
797C2×Dic59—81no—
798C2×Dic59—81no—
799C2×Dic59—81no—
800C2×Dic59—81no—
801C2×Dic59—81no—
802C2×Dic59C22×D411yescharacteristic
803C2×Dic59C22×D411yescharacteristic
804C2×Dic59C22×D411yescharacteristic
805C2×Dic59C22×D411yescharacteristic
806C2×Dic59C22×D411yescharacteristic
807C2×Dic59C22×D411yescharacteristic
808D236—21no—
809D236—21no—
810D236—21no—
811D236—21no—
812D236—41no—
813D236—81no—
814D236—81no—
815C4×D59—21no—
816C4×D59—21no—
817C4×D59—21no—
818C4×D59—21no—
819C4×D59—42no—
820C4×D59—42no—
821C4×D59—42no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825Dic118—21no—
826Dic118—21no—
827Dic118—21no—
828Dic118—41no—
829Dic118—42no—
830Dic118—81no—
831Dic118H(5,𝔽2)12yes—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62081—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—162no—
860C22×C59—162no—
861C22×C59C23×D411yescharacteristic
862C2×D59—21no—
863C2×D59—21no—
864C2×D59—21no—
865C2×D59—21no—
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—162no—
875C2×D59—162no—
876C4×C59—21no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—41no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59C2×H(5,𝔽2)11yescharacteristic
885C4×C59#58511yescharacteristic
886Dic59—21no—
887Dic59—21no—
888Dic59—21no—
889Dic59—21no—
890Dic59—22no—
891Dic59—21no—
892Dic59—21no—
893Dic59—41no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898#3543—591no—
899#3524—591no—
900#3403—591no—
901#3399—591no—
902#3371—591no—
903#3368—591no—
904#3325—591no—
905#3323—591no—
906#3319—591no—
907#3318—591no—
908#3310—591no—
909#3309—591no—
910#3275—591no—
911#3274—591no—
912#3271—591no—
913#3268—591no—
914#3265—591no—
915#3265—591no—
916#3259—591no—
917#3257—591no—
918#3256—591no—
919#3224—591no—
920#3220—591no—
921#3217D5911yescharacteristic, complemented
922#3126—591no—
923#3119—591no—
924#3111—591no—
925#3045—591no—
926#3043—591no—
927#3038—591no—
928#2995—591no—
929C2×C59—41no—
930C2×C59—81no—
931C2×C59—81no—
932C2×C59—81no—
933C2×C59—81no—
934C2×C59—81no—
935C2×C59#348811yescharacteristic
936C2×C59#358511yescharacteristic
937C2×C59#358511yescharacteristic
938D59—41no—
939D59—41no—
940D59—81no—
941D59—81no—
942C2×#137—591no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×#135—591no—
947C22×SD16—591no—
948#560—1181no—
949#560—1181no—
950#559—591no—
951#559—591no—
952#559—1181no—
953#557—591no—
954#555—591no—
955#555—1181no—
956#553—591no—
957#553—1181no—
958#552—591no—
959#552—1181no—
960#550—591no—
961#550—591no—
962#550—591no—
963#548—591no—
964#548—591no—
965#546—591no—
966#546—591no—
967#546—1181no—
968D42—591no—
969D42—591no—
970D42—591no—
971D42—1181no—
972#542—591no—
973#542—1181no—
974#540—591no—
975#540—591no—
976#540—591no—
977#540—1181no—
978#540—1181no—
979#535—591no—
980#535—591no—
981#535—1181no—
982#534—1181no—
983#534—1181no—
984C2×#127C2×D5911yescharacteristic
985#529—591no—
986#529—591no—
987#529—1181no—
988#529—1181no—
989#529C2×D5911yescharacteristic, complemented
990#520—591no—
991#519—591no—
992C4×#41—591no—
993#496—591no—
994#496—591no—
995#496C2×D5911yescharacteristic
996#496C2×D5911yescharacteristic, complemented
997#495—591no—
998#493—591no—
999#490—591no—
1000#490C2×D5911yescharacteristic
1001#490C2×D5911yescharacteristic, complemented
1002#489—591no—
1003#488—591no—
1004#486—591no—
1005#485—591no—
1006#482—591no—
1007#482—591no—
1008#482—591no—
1009#481—591no—
1010#480—591no—
1011#479—591no—
1012#479—591no—
1013#479—591no—
1014#478—591no—
1015#478—591no—
1016#478—591no—
1017#478—591no—
1018#478—591no—
1019#476—591no—
1020#474—591no—
1021#470—591no—
1022#469—591no—
1023#469—591no—
1024#469—591no—
1025#469—591no—
1026#468—591no—
1027#468—591no—
1028#468—591no—
1029#466—591no—
1030#466—591no—
1031#466—591no—
1032#465—591no—
1033#464—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464—591no—
1038#464—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#460—591no—
1046#460—591no—
1047#460—591no—
1048#460—591no—
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460C2×D5911yescharacteristic, complemented
1053#460C2×D5911yescharacteristic, complemented
1054#459—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459C2×D5911yescharacteristic, complemented
1062#459C2×D5911yescharacteristic, complemented
1063#452—591no—
1064#452—591no—
1065#450—591no—
1066#450C2×D5911yescharacteristic, complemented
1067#450C2×D5911yescharacteristic, complemented
1068#449—591no—
1069#449—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449—591no—
1074#448—591no—
1075#448—591no—
1076#447—591no—
1077#447—591no—
1078#447—591no—
1079#447C2×D5911yescharacteristic, complemented
1080#447C2×D5911yescharacteristic, complemented
1081#446—591no—
1082#446—591no—
1083#442—591no—
1084#442—591no—
1085#441—591no—
1086#440—591no—
1087#440—591no—
1088#440—591no—
1089#440—591no—
1090#440—591no—
1091C4×SD16—591no—
1092C4×SD16—591no—
1093C4×SD16—591no—
1094C4×D8—591no—
1095#436—591no—
1096#436—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#433—591no—
1102#433—591no—
1103#432C2×D5911yescharacteristic, complemented
1104#424—591no—
1105#424—591no—
1106#423—591no—
1107#418—591no—
1108#418—591no—
1109#418—591no—
1110#417—591no—
1111#416—591no—
1112C2×#102—591no—
1113C59#6208111yescharacteristic, complemented, Sylow
1114C2×#41—591no—
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—591no—
1118C2×#41—1181no—
1119C22×Q8—591no—
1120C22×D4—21no—
1121C22×D4—21no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—1181no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4C22×D5911yescharacteristic
1128C22×D4C22×D5911yescharacteristic
1129#137—2362no—
1130AGL(1,ℤ/8)—2362no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133#135—2362no—
1134C2×Q16—591no—
1135C2×Q16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16—2362no—
1145C2×SD16C22×D5911yescharacteristic
1146C2×SD16C22×D5911yescharacteristic
1147C2×SD16C22×D5911yescharacteristic
1148C2×SD16C22×D5911yescharacteristic
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8C22×D5911yescharacteristic
1156C2×D8C22×D5911yescharacteristic
1157C2×D8C22×D5911yescharacteristic
1158C2×D8C22×D5911yescharacteristic
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16—591no—
1163C22×C8—591no—
1164C22×C8—591no—
1165C4⋊Q8—591no—
1166C4⋊Q8—1181no—
1167#127—21no—
1168#127—21no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—1181no—
1173#127—1181no—
1174#127C22×D5911yescharacteristic
1175#127C22×D5911yescharacteristic
1176#127C22×D5911yescharacteristic
1177#127C22×D5911yescharacteristic
1178#126—21no—
1179#126—591no—
1180#126—591no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#125—591no—
1186#125—591no—
1187#125—591no—
1188#125—1181no—
1189#125—1181no—
1190#125—1181no—
1191#125C22×D5911yescharacteristic
1192#124—591no—
1193#124—591no—
1194#124—591no—
1195#124—591no—
1196#124—591no—
1197#124—1181no—
1198#124—1181no—
1199#124—1181no—
1200#124—1181no—
1201#124—1181no—
1202#124—1181no—
1203#124—1181no—
1204#124C22×D5911yescharacteristic
1205#123—21no—
1206#123—591no—
1207#123—591no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8C22×D5911yescharacteristic
1231#121—591no—
1232#121—591no—
1233#121—591no—
1234#121—591no—
1235#121—591no—
1236#121—591no—
1237#121—591no—
1238#121—591no—
1239#121—591no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121C22×D5911yescharacteristic
1267#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279C4×Q8—591no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—591no—
1285C4×Q8—591no—
1286C4×Q8—1181no—
1287C4×Q8—1181no—
1288C4×Q8—1181no—
1289C4×Q8C22×D5911yescharacteristic
1290C4×D4—21no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—591no—
1300C4×D4—591no—
1301C4×D4—591no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4—1181no—
1312C4×D4—1181no—
1313C4×D4—1181no—
1314C4×D4C22×D5911yescharacteristic
1315#117—21no—
1316#117—591no—
1317#117—591no—
1318#117—591no—
1319#117—591no—
1320#117—1181no—
1321#117—1181no—
1322#117—1181no—
1323#117—1181no—
1324#117—1181no—
1325#117—1181no—
1326#117—1181no—
1327C2×C4⋊C4—591no—
1328C2×C4⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C42—1181no—
1332C2×C42C22×D5911yescharacteristic
1333#107—591no—
1334#107—591no—
1335#107—591no—
1336#107—591no—
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8C22×D5911yescharacteristic
1350C4⋊C8C22×D5911yescharacteristic
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102C22×D5911yescharacteristic
1376#102C22×D5911yescharacteristic
1377#102C22×D5911yescharacteristic
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8C22×D5911yescharacteristic
1388C22⋊C8C22×D5911yescharacteristic
1389#97—591no—
1390#97—591no—
1391#97C22×D5911yescharacteristic
1392#97C22×D5911yescharacteristic
1393C4×C8—591no—
1394C4×C8—591no—
1395C24—21no—
1396C24—21no—
1397C24—1181no—
1398C24—1181no—
1399#41—1182no—
1400#41—1182no—
1401#41—4722no—
1402#41—2361no—
1403#41—2361no—
1404#41—2361no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408C2×Q8—591no—
1409C2×Q8—591no—
1410C2×Q8—591no—
1411C2×Q8—1181no—
1412C2×Q8—1181no—
1413C2×Q8—1182no—
1414C2×Q8—2361no—
1415C2×Q8C23×D5911yescharacteristic
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—41no—
1428C2×D4—41no—
1429C2×D4—41no—
1430C2×D4—41no—
1431C2×D4—82no—
1432C2×D4—82no—
1433C2×D4—591no—
1434C2×D4—591no—
1435C2×D4—591no—
1436C2×D4—591no—
1437C2×D4—591no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—1181no—
1458C2×D4—4722no—
1459C2×D4—4722no—
1460C2×D4—4722no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
1465C2×D4C23×D5911yescharacteristic
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C2×D4C23×D5911yescharacteristic
1469C2×D4C23×D5911yescharacteristic
1470C22×C4—21no—
1471C22×C4—591no—
1472C22×C4—591no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4D4×D5911yescharacteristic
1488C22×C4D4×D5911yescharacteristic
1489C22×C4C23×D5911yescharacteristic
1490Q16—1182no—
1491Q16—2361no—
1492SD16—41no—
1493SD16—41no—
1494SD16—41no—
1495SD16—41no—
1496SD16—1182no—
1497SD16—1182no—
1498SD16—1182no—
1499SD16—1182no—
1500SD16—1182no—
1501SD16—2361no—
1502SD16—2361no—
1503SD16—2361no—
1504D8—41no—
1505D8—41no—
1506D8—41no—
1507D8—41no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513D8—2361no—
1514M16—2361no—
1515M16—2361no—
1516M16—2361no—
1517M16—2361no—
1518C2×C8—591no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—2361no—
1523C2×C8—2361no—
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C2×C8C23×D5911yescharacteristic
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
1542C4⋊C4—591no—
1543C4⋊C4—591no—
1544C4⋊C4—591no—
1545C4⋊C4—591no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4—1181no—
1559C4⋊C4—1181no—
1560C4⋊C4C23×D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
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—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C42—21no—
1606C42—591no—
1607C42—591no—
1608C42—1181no—
1609C42—1181no—
1610C42—1181no—
1611C42—1181no—
1612C42—1181no—
1613C42—1181no—
1614C42—1181no—
1615C42—1181no—
1616C42D4×D5911yescharacteristic
1617C42D4×D5911yescharacteristic
1618C42C23×D5911yescharacteristic
1619C42C23×D5911yescharacteristic
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—42no—
1626C23—42no—
1627C23—81no—
1628C23—81no—
1629C23—81no—
1630C23—81no—
1631C23—591no—
1632C23—591no—
1633C23—1181no—
1634C23—1181no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—4721no—
1640C23—4721no—
1641C23C2×D4×D5911yescharacteristic
1642Q8—21no—
1643Q8—21no—
1644Q8—592no—
1645Q8—1181no—
1646Q8—1181no—
1647Q8—1181no—
1648Q8—4721no—
1649Q8—2361no—
1650Q8—2362no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—42no—
1662D4—42no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—81no—
1667D4—81no—
1668D4—81no—
1669D4—81no—
1670D4—81no—
1671D4—81no—
1672D4—1181no—
1673D4—1181no—
1674D4—1181no—
1675D4—1181no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—4721no—
1691D4—4721no—
1692D4—4721no—
1693D4—2361no—
1694D4—2361no—
1695D4—2361no—
1696D4—2362no—
1697D4—2362no—
1698D4—2362no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—41no—
1705C2×C4—41no—
1706C2×C4—81no—
1707C2×C4—591no—
1708C2×C4—591no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—1181no—
1714C2×C4—1181no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—4721no—
1733C2×C4—2362no—
1734C2×C4—2362no—
1735C2×C4—2362no—
1736C2×C4—2362no—
1737C2×C4C2×D4×D5911yescharacteristic
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C24×D5911yescharacteristic
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—1181no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—162no—
1770C22—162no—
1771C22—1181no—
1772C22—1181no—
1773C22—1181no—
1774C22—1181no—
1775C22—1181no—
1776C22—1181no—
1777C22—9442no—
1778C22—9442no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22C22×D4×D5911yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—1181no—
1795C4—1181no—
1796C4—1182no—
1797C4—1181no—
1798C4—1181no—
1799C4—1181no—
1800C4—1181no—
1801C4—2361no—
1802C4—2361no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4H(5,𝔽2)×D5911yescharacteristic
1807C4#1683823711yescharacteristic
1808C2—41no—
1809C2—81no—
1810C2—81no—
1811C2—81no—
1812C2—81no—
1813C2—81no—
1814C2—4721no—
1815C2—4721no—
1816C2—2361no—
1817C2—2361no—
1818C2#2143776311yescharacteristic
1819C2#2143887211yescharacteristic
1820C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3217C2
socleC22×C59C23×D4
hypercenter#3217D59
hypocenterC59#62081
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3217

Complements

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

NH ≅ G/Ntype
1. #21438429C2semidirect
2. #21438195C2semidirect
3. #21437181C2semidirect
4. #21437135C2semidirect
5. #21436859C2semidirect
6. #21436822C2semidirect
7. #21436331C2semidirect
8. #21436316C2semidirect
9. #21436245C2semidirect
10. #21436236C2semidirect
11. #21436110C2semidirect
12. #21436101C2semidirect
13. #21435731C2semidirect
14. #21435714C2semidirect
15. #21435680C2semidirect
16. #21435634C2semidirect
17. #21435590C2semidirect
18. #21435589C2semidirect
19. #21435533C2semidirect
20. #21435505C2semidirect
21. #21435492C2semidirect
22. #21435195C2semidirect
23. #21435145C2semidirect
24. #21434385C2semidirect
25. #21434292C2semidirect
26. #21434207C2semidirect
27. #21433630C2semidirect
28. #21433612C2semidirect
29. #21433572C2semidirect
30. #21433268C2semidirect
31. C59×#3217C2semidirect
32. C2×#14273756C22semidirect
33. C2×#14273753C22semidirect
34. C2×#14273753C22semidirect
35. C2×#14273751C22semidirect
36. C2×#14273746C22semidirect
37. C2×SD16×D59C22semidirect
42. #16838134C22semidirect
43. #16838129C22semidirect
44. #16838116C22semidirect
46. #16838105C22semidirect
48. #16838086C22semidirect
52. #16838070C22semidirect
53. #16838062C22semidirect
54. #16838060C22semidirect
62. #16838024C22semidirect
68. #16838003C22semidirect
78. #16837881C22semidirect
79. #16837878C22semidirect
80. C4×#11745685C22semidirect
81. #16837790C22semidirect
82. #16837788C22semidirect
83. #16837783C22semidirect
84. #16837777C22semidirect
85. #16837765C22semidirect
86. #16837760C22semidirect
87. #16837755C22semidirect
88. #16837747C22semidirect
89. #16837744C22semidirect
91. #16837725C22semidirect
92. #16837724C22semidirect
93. #16837719C22semidirect
94. #16837714C22semidirect
95. #16837710C22semidirect
96. #16837709C22semidirect
97. #16837706C22semidirect
98. #16837704C22semidirect
99. #16837703C22semidirect
100. #16837702C22semidirect
101. #16837700C22semidirect
102. #16837699C22semidirect
103. #16837690C22semidirect
104. #16837680C22semidirect
105. #16837658C22semidirect
106. #16837654C22semidirect
107. #16837654C22semidirect
109. #16837652C22semidirect
111. #16837646C22semidirect
112. #16837645C22semidirect
113. #16837637C22semidirect
114. #16837637C22semidirect
115. #16837635C22semidirect
116. #16837628C22semidirect
117. #16837625C22semidirect
118. #16837624C22semidirect
119. #16837623C22semidirect
120. #16837623C22semidirect
121. #16837622C22semidirect
122. #16837621C22semidirect
123. #16837619C22semidirect
124. #16837619C22semidirect
125. #16837618C22semidirect
126. #16837617C22semidirect
127. #16837615C22semidirect
128. #16837614C22semidirect
129. #16837601C22semidirect
130. #16837601C22semidirect
131. #16837600C22semidirect
133. #16837599C22semidirect
134. #16837599C22semidirect
135. #16837599C22semidirect
136. #16837595C22semidirect
137. #16837595C22semidirect
138. #16837595C22semidirect
140. #16837594C22semidirect
141. #16837594C22semidirect
142. #16837594C22semidirect
143. #16837566C22semidirect
144. #16837561C22semidirect
145. #16837551C22semidirect
147. #16837548C22semidirect
148. #16837548C22semidirect
149. #16837544C22semidirect
150. #16837544C22semidirect
151. #16837544C22semidirect
152. #16837539C22semidirect
153. #16837539C22semidirect
154. #16837537C22semidirect
155. #16837537C22semidirect
156. #16837534C22semidirect
157. #16837530C22semidirect
158. #16837530C22semidirect
159. #16837515C22semidirect
160. #16837514C22semidirect
161. #16837510C22semidirect
162. #16837504C22semidirect
163. #16837504C22semidirect
164. #16837503C22semidirect
165. #16837499C22semidirect
166. #16837499C22semidirect
167. #16837493C22semidirect
168. #16837493C22semidirect
169. SD16×Dic59C22semidirect
170. D8×Dic59C22semidirect
171. #16837477C22semidirect
172. #16837477C22semidirect
173. #16837476C22semidirect
174. #16837476C22semidirect
175. #16837475C22semidirect
176. #16837475C22semidirect
177. #16837462C22semidirect
178. #16837462C22semidirect
179. #16837427C22semidirect
180. #16837427C22semidirect
181. #16837426C22semidirect
182. #16837407C22semidirect
183. #16837407C22semidirect
184. #16837405C22semidirect
185. #16837400C22semidirect
186. #16837395C22semidirect
187. #102×D59C22semidirect
189. C59×#529C22semidirect
191. C59×#496C22semidirect
193. C59×#490C22semidirect
194. C59×#460C22semidirect
195. C59×#460C22semidirect
196. C59×#459C22semidirect
197. C59×#459C22semidirect
198. C59×#450C22semidirect
199. C59×#450C22semidirect
200. C59×#447C22semidirect
201. C59×#447C22semidirect
202. C59×#432C22semidirect
921. #3217D59semidirect
989. #529C2×D59semidirect
996. #496C2×D59semidirect
1001. #490C2×D59semidirect
1052. #460C2×D59semidirect
1053. #460C2×D59semidirect
1061. #459C2×D59semidirect
1062. #459C2×D59semidirect
1066. #450C2×D59semidirect
1067. #450C2×D59semidirect
1079. #447C2×D59semidirect
1080. #447C2×D59semidirect
1103. #432C2×D59semidirect
1113. C59#62081semidirect

Maximal subgroups

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

subgroupindex
#214384292
#214381952
#214371812
#214371352
#214368592
#214368222
#214363312
#214363162
#214362452
#214362362
#214361102
#214361012
#214357312
#214357142
#214356802
#214356342
#214355902
#214355892
#214355332
#214355052
#214354922
#214351952
#214351452
#214343852
#214342922
#214342072
#214336302
#214336122
#214335722
#214332682
C59×#32172
#6208159