Finite Group Databasebeta

← #29484179

Subgroups — #29484179

Order 15104.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438614C211yesmaximal, characteristic, complemented
2#21438109C211yesmaximal, characteristic, complemented
3#21437168C211yesmaximal, characteristic, complemented
4#21437157C211yesmaximal, characteristic, complemented
5#21436915C211yesmaximal, characteristic, complemented
6#21436907C211yesmaximal, characteristic, complemented
7#21436326C211yesmaximal, characteristic, complemented
8#21436320C211yesmaximal, characteristic, complemented
9#21436256C211yesmaximal, characteristic, complemented
10#21436245C211yesmaximal, characteristic, complemented
11#21436166C211yesmaximal, characteristic, complemented
12#21436161C211yesmaximal, characteristic, complemented
13#21435751C211yesmaximal, characteristic, complemented
14#21435746C211yesmaximal, characteristic, complemented
15#21435610C211yesmaximal, characteristic, complemented
16#21435604C211yesmaximal, characteristic, complemented
17#21435595C211yesmaximal, characteristic, complemented
18#21435590C211yesmaximal, characteristic, complemented
19#21435554C211yesmaximal, characteristic, complemented
20#21435552C211yesmaximal, characteristic, complemented
21#21435481C211yesmaximal, characteristic, complemented
22#21435187C211yesmaximal, characteristic, complemented
23#21435097C211yesmaximal, characteristic, complemented
24#21434327C211yesmaximal, characteristic, complemented
25#21434322C211yesmaximal, characteristic, complemented
26#21434244C211yesmaximal, characteristic, complemented
27#21433613C211yesmaximal, characteristic, complemented
28#21433612C211yesmaximal, characteristic, complemented
29#21433585C211yesmaximal, characteristic, complemented
30#21433261C211yesmaximal, characteristic, complemented
31C59×#3224C211yesmaximal, characteristic, complemented
32C2×#14273757C2211yescharacteristic, complemented
33C2×#14273756C2211yescharacteristic, complemented
34C2×#14273756C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic
36C22×#11745670C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic, complemented
38#16838147—21no—
39#16838145—21no—
40#16838138C2211yescharacteristic
41#16838134C2211yescharacteristic
42#16838132C2211yescharacteristic, complemented
43#16838126C2211yescharacteristic, complemented
44#16838123C2211yescharacteristic, complemented
45#16838121—21no—
46#16838121C2211yescharacteristic, complemented
47#16838119—21no—
48#16838119—21no—
49#16838116C2211yescharacteristic, complemented
50#16838114—21no—
51#16838065C2211yescharacteristic, complemented
52#16838060C2211yescharacteristic
53#16838060C2211yescharacteristic, complemented
54#16838059C2211yescharacteristic
55#16838058C2211yescharacteristic, complemented
56#16838046C2211yescharacteristic
57#16838041—21no—
58#16838040C2211yescharacteristic
59#16838039—21no—
60#16838037C2211yescharacteristic
61D4×C22⋊D59C2211yescharacteristic
62#16838023C2211yescharacteristic
63#16838022—21no—
64#16838021C2211yescharacteristic
65#16838020—21no—
66#16838017C2211yescharacteristic, complemented
67#16837989—21no—
68#16837987—21no—
69#16837984—21no—
70#16837965C2211yescharacteristic
71#16837962—21no—
72#16837956C2211yescharacteristic, complemented
73#16837954—21no—
74#16837950C2211yescharacteristic
75#16837930C2211yescharacteristic
76#16837929—21no—
77#124×D59C2211yescharacteristic
78#16837879C2211yescharacteristic, complemented
79#16837878C2211yescharacteristic, complemented
80C4×#11745687C2211yescharacteristic, complemented
81#16837795C2211yescharacteristic, complemented
82#16837793C2211yescharacteristic, complemented
83#16837790C2211yescharacteristic
84#16837785C2211yescharacteristic, complemented
85#16837763C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic
89#16837744C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837727C2211yescharacteristic
92#16837725C2211yescharacteristic
93#16837725C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837698C2211yescharacteristic, complemented
96#16837697C2211yescharacteristic, complemented
97#16837695C2211yescharacteristic, complemented
98#16837694C2211yescharacteristic, complemented
99#16837688C2211yescharacteristic, complemented
100#16837682C2211yescharacteristic, complemented
101#16837680C2211yescharacteristic, complemented
102#16837680C2211yescharacteristic, complemented
103#16837680C2211yescharacteristic, complemented
104#16837679C2211yescharacteristic, complemented
105#16837650C2211yescharacteristic
106#16837647C2211yescharacteristic
107#16837647C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837645C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837642C2211yescharacteristic, complemented
114#16837641C2211yescharacteristic, complemented
115#16837636C2211yescharacteristic
116#16837635C2211yescharacteristic
117#16837627C2211yescharacteristic, complemented
118#16837625C2211yescharacteristic, complemented
119#16837625C2211yescharacteristic, complemented
120#16837624C2211yescharacteristic, complemented
121#16837623C2211yescharacteristic, complemented
122#16837623C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837622C2211yescharacteristic, complemented
125#16837621C2211yescharacteristic, complemented
126#16837621C2211yescharacteristic, complemented
127#16837621C2211yescharacteristic, complemented
128#16837621C2211yescharacteristic, complemented
129#16837621C2211yescharacteristic, complemented
130#16837619C2211yescharacteristic, complemented
131#16837617C2211yescharacteristic, complemented
132#16837615C2211yescharacteristic, complemented
133#16837615C2211yescharacteristic, complemented
134#16837614C2211yescharacteristic, complemented
135#16837605C2211yescharacteristic, complemented
136#16837605C2211yescharacteristic, complemented
137#16837601C2211yescharacteristic
138#16837600C2211yescharacteristic
139#16837599C2211yescharacteristic
140#16837599C2211yescharacteristic
141#16837599C2211yescharacteristic, complemented
142#16837599C2211yescharacteristic, complemented
143#16837565C2211yescharacteristic, complemented
144#16837560C2211yescharacteristic, complemented
145#16837559C2211yescharacteristic, complemented
146#16837556C2211yescharacteristic, complemented
147#16837556C2211yescharacteristic, complemented
148#16837554C2211yescharacteristic
149#16837554C2211yescharacteristic, complemented
150#16837551C2211yescharacteristic
151#16837544C2211yescharacteristic, complemented
152#16837544C2211yescharacteristic, complemented
153#16837544C2211yescharacteristic, complemented
154#16837543C2211yescharacteristic
155#16837539C2211yescharacteristic
156#16837534C2211yescharacteristic, complemented
157#16837532C2211yescharacteristic, complemented
158#16837530C2211yescharacteristic, complemented
159#16837514C2211yescharacteristic, complemented
160#16837514C2211yescharacteristic, complemented
161#16837510C2211yescharacteristic, complemented
162#16837509C2211yescharacteristic, complemented
163#16837504C2211yescharacteristic, complemented
164#16837499C2211yescharacteristic, complemented
165#16837499C2211yescharacteristic, complemented
166#16837499C2211yescharacteristic, complemented
167C4×Dic236C2211yescharacteristic, complemented
168#16837494C2211yescharacteristic, complemented
169C4×#11745660C2211yescharacteristic, complemented
170SD16×Dic59C2211yescharacteristic, complemented
171#16837481C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837476C2211yescharacteristic, complemented
174#16837475C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837470C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837458C2211yescharacteristic, complemented
179#16837429C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837409C2211yescharacteristic, complemented
183#16837407C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic
185#16837405C2211yescharacteristic, complemented
186#16837398C2211yescharacteristic, complemented
187#16837395C2211yescharacteristic, complemented
188C59×#542C2211yescharacteristic, complemented
189C59×#535C2211yescharacteristic
190C59×#496C2211yescharacteristic
191C59×#495C2211yescharacteristic, complemented
192C59×#489C2211yescharacteristic, complemented
193C59×#486C2211yescharacteristic
194C59×#464C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#459C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#450C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic, complemented
201C59×#447C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203C2×#11745687—21no—
204C2×#11745687C2311yescharacteristic
205C2×#11745687C2311yescharacteristic
206C22×Dic118C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C22×C22⋊D59—21no—
210C2×D4×D59—21no—
211C2×D4×D59C2311yescharacteristic
212C2×D4×D59C2311yescharacteristic
213#14273757—42no—
214#14273756—42no—
215#14273756—42no—
216#14273751—42no—
217C2×Dic236C2311yescharacteristic
218C2×Dic236C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745672C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745670—42no—
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233SD16×D59—42no—
234C2×#11745669C2311yescharacteristic
235C2×#11745664C2311yescharacteristic
236C2×#11745659C2311yescharacteristic
237C2×#11745659C2311yescharacteristic
238C2×#11745659C2311yescharacteristic
239C22×C59⋊C8C2311yescharacteristic
240C2×C8×D59C2311yescharacteristic
241#14273727C2311yescharacteristic
242#14273726—21no—
243#14273726—21no—
244#14273726C2311yescharacteristic
245#14273726C2311yescharacteristic
246#14273725—21no—
247#14273725—21no—
248#14273725C2311yescharacteristic
249#14273723C2311yescharacteristic
250#14273722—21no—
251#14273722—21no—
252#14273722—21no—
253#14273722—21no—
254#14273722D411yescharacteristic
255#14273720—21no—
256#14273720—21no—
257#14273720—21no—
258#14273720—21no—
259#14273720—21no—
260#14273720D411yescharacteristic
261#14273717—21no—
262#14273717D411yescharacteristic
263#14273716—21no—
264#14273716C2311yescharacteristic
265#14273715C2311yescharacteristic
266#14273714—21no—
267#14273714—21no—
268#14273714—21no—
269#14273714—21no—
270#14273714C2311yescharacteristic
271#14273714C2311yescharacteristic
272#14273714C2311yescharacteristic
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273713D411yescharacteristic
285#14273712D411yescharacteristic
286#14273711—21no—
287#14273711—21no—
288#14273710—21no—
289#14273710—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709D411yescharacteristic
293#14273708—21no—
294#14273708—21no—
295#14273708—21no—
296#14273707C2311yescharacteristic
297#14273707C2311yescharacteristic
298#14273706—21no—
299#14273706—21no—
300#14273706C2311yescharacteristic
301#14273705—21no—
302#14273705—21no—
303#14273705—21no—
304#14273705D411yescharacteristic
305#14273704—21no—
306#14273704—21no—
307#14273704—21no—
308#14273704—21no—
309#14273704—21no—
310#14273704—21no—
311#14273703C2311yescharacteristic
312#14273703C2311yescharacteristic
313#14273701C2311yescharacteristic
314#14273700—21no—
315#14273700—21no—
316#14273700D411yescharacteristic
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273698—21no—
325#14273698—21no—
326#14273698—21no—
327#14273698C2311yescharacteristic
328#14273698C2311yescharacteristic
329#14273698C2311yescharacteristic
330#14273698C2311yescharacteristic
331#14273696—21no—
332#14273696—21no—
333#14273695—21no—
334#14273695—21no—
335#14273695—21no—
336#14273695—21no—
337#14273695—21no—
338#14273695—21no—
339Q8×Dic59—21no—
340Q8×Dic59C2311yescharacteristic
341Q8×Dic59C2311yescharacteristic
342C4×Dic118—21no—
343C4×Dic118—21no—
344C4×Dic118C2311yescharacteristic
345C4×Dic118C2311yescharacteristic
346C4×Dic118C2311yescharacteristic
347C4×Dic118C2311yescharacteristic
348C4×Dic118C2311yescharacteristic
349C4×Dic118C2311yescharacteristic
350#14273692—21no—
351#14273692—21no—
352#14273692—21no—
353#14273692—21no—
354#14273692—21no—
355#14273692C2311yescharacteristic
356#14273692C2311yescharacteristic
357C4×D236C2311yescharacteristic
358C4×D236C2311yescharacteristic
359D4×Dic59—21no—
360D4×Dic59—21no—
361D4×Dic59—21no—
362D4×Dic59C2311yescharacteristic
363D4×Dic59C2311yescharacteristic
364D4×Dic59C2311yescharacteristic
365D4×Dic59C2311yescharacteristic
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59C2311yescharacteristic
369C4×C22⋊D59C2311yescharacteristic
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4—21no—
375#14273686C2311yescharacteristic
376#14273685—21no—
377#14273685C2311yescharacteristic
378#14273685C2311yescharacteristic
379#14273684—21no—
380#14273684—21no—
381#14273684C2311yescharacteristic
382#14273683—21no—
383#14273683—21no—
384#14273683—21no—
385#14273683—21no—
386#14273683—21no—
387C2×C22⋊Dic59—21no—
388C2×(C2×D59)⋊C4—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C2×C4×Dic59—21no—
392C42×D59C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273659C2311yescharacteristic
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#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
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
439#14273637C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C22×D4×C59C2311yescharacteristic
443C2×Q16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452#127×C59C2311yescharacteristic
453#127×C59C2311yescharacteristic
454#126×C59—21no—
455#124×C59—21no—
456#124×C59C2311yescharacteristic
457#124×C59C2311yescharacteristic
458#124×C59C2311yescharacteristic
459#123×C59—21no—
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462#121×C59—21no—
463#121×C59—21no—
464#121×C59C2311yescharacteristic
465#120×C59—21no—
466#120×C59—21no—
467C4×Q8×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469#117×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487#41×C59—41no—
488#41×C59—41no—
489C2×Q8×C59—21no—
490C2×Q8×C59C2411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
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—41no—
500C2×D4×C59—41no—
501C2×D4×C59C2411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59C2411yescharacteristic
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—82no—
520C2×C22⋊D59C2×D411yescharacteristic
521C2×C22⋊D59C2×D411yescharacteristic
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529Q8×D59—22no—
530Q8×D59—41no—
531Q8×D59—41no—
532Q8×D59—41no—
533#11745687—22no—
534#11745687—41no—
535#11745687—41no—
536#11745687—41no—
537#11745687—82no—
538D4×D59—41no—
539D4×D59—41no—
540D4×D59—41no—
541D4×D59—41no—
542D4×D59—82no—
543C2×D236C2×D411yescharacteristic
544C2×D236C2411yescharacteristic
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59C2×D411yescharacteristic
549C2×C4×D59C2×D411yescharacteristic
550C2×C4×D59C2411yescharacteristic
551C2×C4×D59C2411yescharacteristic
552C2×Dic118—22no—
553C2×Dic118—21no—
554C2×Dic118—21no—
555C2×Dic118—21no—
556C2×Dic118—21no—
557C2×Dic118—21no—
558C2×Dic118—21no—
559C2×Dic118—41no—
560C2×Dic118C2×D411yescharacteristic
561C2×Dic118C2411yescharacteristic
562C2×Dic118C2411yescharacteristic
563C2×Dic118C2411yescharacteristic
564Q16×C59—41no—
565SD16×C59—41no—
566SD16×C59—41no—
567SD16×C59—41no—
568SD16×C59—41no—
569D8×C59—41no—
570D8×C59—41no—
571D8×C59—41no—
572C2×C8×C59C2411yescharacteristic
573C2×C8×C59C2411yescharacteristic
574C2×C8×C59C2411yescharacteristic
575C2×C8×C59C2411yescharacteristic
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59C2×D411yescharacteristic
580C4⋊C4×C59C2×D411yescharacteristic
581C4⋊C4×C59C2411yescharacteristic
582C4⋊C4×C59C2411yescharacteristic
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59C2×D411yescharacteristic
593C22⋊C4×C59C2×D411yescharacteristic
594C42×C59—21no—
595C42×C59C2411yescharacteristic
596C42×C59C2411yescharacteristic
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59C2×D411yescharacteristic
614C22⋊Dic59C2×D411yescharacteristic
615#11745672—22no—
616#11745672—41no—
617#11745672—41no—
618#11745671—41no—
619#11745670—22no—
620#11745670—22no—
621#11745670—22no—
622#11745670—41no—
623#11745670—41no—
624#11745670—41no—
625#11745670—41no—
626#11745669—41no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4C2×D411yescharacteristic
640(C2×D59)⋊C4C2×D411yescharacteristic
641(C2×D59)⋊C4C2×D411yescharacteristic
642(C2×D59)⋊C4C2×D411yescharacteristic
643(C2×D59)⋊C4C2×D411yescharacteristic
644(C2×D59)⋊C4C2×D411yescharacteristic
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59C2×D411yescharacteristic
651C4⋊Dic59C2×D411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
655C4⋊Dic59C2411yescharacteristic
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4C2×D411yescharacteristic
671Dic59⋊C4C2×D411yescharacteristic
672Dic59⋊C4C2×D411yescharacteristic
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676C4×Dic59—21no—
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2411yescharacteristic
691C4×Dic59C2411yescharacteristic
692#11745664—41no—
693C2×C59⋊C8—41no—
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698Dic236—22no—
699Dic236—41no—
700#11745660—22no—
701#11745660—41no—
702#11745659—41no—
703#11745659—41no—
704#11745659—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—21no—
710C23×C59—81no—
711C23×C59—81no—
712C23×C59—81no—
713C23×C59C22×D411yescharacteristic
714C22×D59—21no—
715C22×D59—42no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59C22×D411yescharacteristic
722C22×D59C22×D411yescharacteristic
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—81no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—81no—
737D4×C59—81no—
738D4×C59—81no—
739D4×C59—81no—
740D4×C59—81no—
741D4×C59—81no—
742D4×C59—81no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—81no—
750C2×C4×C59—81no—
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C2511yescharacteristic
757C22⋊D59—41no—
758C22⋊D59—41no—
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—42no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—42no—
778C2×Dic59—42no—
779C2×Dic59—42no—
780C2×Dic59—81no—
781C2×Dic59—81no—
782C2×Dic59—81no—
783C2×Dic59—81no—
784C2×Dic59C22×D411yescharacteristic
785C2×Dic59C22×D411yescharacteristic
786C2×Dic59C22×D411yescharacteristic
787C2×Dic59C22×D411yescharacteristic
788C2×Dic59C22×D411yescharacteristic
789C2×Dic59C22×D411yescharacteristic
790D236—21no—
791D236—21no—
792D236—41no—
793C4×D59—21no—
794C4×D59—21no—
795C4×D59—21no—
796C4×D59—21no—
797C4×D59—41no—
798C4×D59—41no—
799C4×D59—42no—
800C4×D59—81no—
801C4×D59—81no—
802Dic118—21no—
803Dic118—21no—
804Dic118—21no—
805Dic118—21no—
806Dic118—21no—
807Dic118—41no—
808Dic118—42no—
809Dic118—42no—
810Dic118—81no—
811Dic118—81no—
812Dic118—81no—
813Dic118—81no—
814Dic118H(5,𝔽2)12yes—
815C8×C59—21no—
816C8×C59—21no—
817C8×C59—21no—
818C8×C59—21no—
819C59⋊C8—21no—
820C59⋊C8—21no—
821C59⋊C8—21no—
822C59⋊C8—21no—
823#62092—591nomaximal, Sylow
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—162no—
840C22×C59C23×D411yescharacteristic
841C2×D59—21no—
842C2×D59—21no—
843C2×D59—21no—
844C2×D59—21no—
845C2×D59—21no—
846C2×D59—21no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—162no—
851C2×D59—162no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59C2×H(5,𝔽2)11yescharacteristic
862C4×C59#58511yescharacteristic
863Dic59—21no—
864Dic59—21no—
865Dic59—21no—
866Dic59—21no—
867Dic59—22no—
868Dic59—21no—
869Dic59—21no—
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876#3558—591no—
877#3518—591no—
878#3401—591no—
879#3401—591no—
880#3375—591no—
881#3375—591no—
882#3324—591no—
883#3324—591no—
884#3319—591no—
885#3319—591no—
886#3313—591no—
887#3313—591no—
888#3277—591no—
889#3277—591no—
890#3266—591no—
891#3266—591no—
892#3265—591no—
893#3265—591no—
894#3262—591no—
895#3262—591no—
896#3254—591no—
897#3224—591no—
898#3224D5911yescharacteristic, complemented
899#3215—591no—
900#3121—591no—
901#3121—591no—
902#3115—591no—
903#3043—591no—
904#3043—591no—
905#3040—591no—
906#2995—591no—
907C2×C59—41no—
908C2×C59—81no—
909C2×C59—81no—
910C2×C59—81no—
911C2×C59—81no—
912C2×C59#348811yescharacteristic
913C2×C59#358511yescharacteristic
914C2×C59#358611yescharacteristic
915D59—41no—
916D59—41no—
917D59—81no—
918C2×#137—591no—
919C2×#137—591no—
920C2×#137—591no—
921C2×AGL(1,ℤ/8)—591no—
922C22×SD16—591no—
923C22×SD16—591no—
924#562—1181no—
925H(3,𝔽4)—1181no—
926#559—591no—
927#559—591no—
928Q82—591no—
929#556—591no—
930#556—591no—
931#556—591no—
932#556—1181no—
933#556—1181no—
934#556—1181no—
935#555—591no—
936#555—1181no—
937D4×Q8—591no—
938#548—591no—
939#548—591no—
940#548—591no—
941#548—591no—
942#546—591no—
943#546—591no—
944#546—1181no—
945#546—1181no—
946D42—591no—
947D42—591no—
948#542—591no—
949#542—591no—
950#542—591no—
951#542—1181no—
952#542—1181no—
953#542C2×D5911yescharacteristic, complemented
954#538—1181no—
955#538—1181no—
956#538—1181no—
957#535—591no—
958#535C2×D5911yescharacteristic
959#534—1181no—
960#533—591no—
961#533—1181no—
962#532—591no—
963#529—591no—
964#529—1181no—
965C2×#124—591no—
966#519—591no—
967#519—591no—
968C4×#41—591no—
969#497—591no—
970#497—591no—
971#496—591no—
972#496C2×D5911yescharacteristic
973#495—591no—
974#495C2×D5911yescharacteristic, complemented
975#489—591no—
976#489—591no—
977#489—591no—
978#489C2×D5911yescharacteristic, complemented
979#486—591no—
980#486C2×D5911yescharacteristic
981#485—591no—
982#485—591no—
983#482—591no—
984#482—591no—
985#482—591no—
986#482—591no—
987#477—591no—
988#477—591no—
989#477—591no—
990#477—591no—
991#475—591no—
992#474—591no—
993#474—591no—
994#474—591no—
995#474—591no—
996#474—591no—
997#468—591no—
998#468—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#468—591no—
1004#468—591no—
1005#467—591no—
1006#467—591no—
1007#466—591no—
1008#466—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#464—591no—
1015#464—591no—
1016#464—591no—
1017#464—591no—
1018#464—591no—
1019#464—591no—
1020#464—591no—
1021#464—591no—
1022#464C2×D5911yescharacteristic, complemented
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463C2×D5911yescharacteristic, complemented
1029#461—591no—
1030#461—591no—
1031#460—591no—
1032#460—591no—
1033#460—591no—
1034#460—591no—
1035#460—591no—
1036#460—591no—
1037#460C2×D5911yescharacteristic, complemented
1038#459C2×D5911yescharacteristic, complemented
1039#452—591no—
1040#452C2×D5911yescharacteristic, complemented
1041#451—591no—
1042#451—591no—
1043#451—591no—
1044#451—591no—
1045#450—591no—
1046#450—591no—
1047#450—591no—
1048#450C2×D5911yescharacteristic, complemented
1049#449—591no—
1050#449—591no—
1051#449—591no—
1052#449C2×D5911yescharacteristic, complemented
1053#448—591no—
1054#448—591no—
1055#447—591no—
1056#447C2×D5911yescharacteristic, complemented
1057#446—591no—
1058#446—591no—
1059#442—591no—
1060#442—591no—
1061#441—591no—
1062#441—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066#440—591no—
1067C4×Q16—591no—
1068C4×Q16—591no—
1069C4×SD16—591no—
1070C4×SD16—591no—
1071#436—591no—
1072#436—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076#435—591no—
1077#433—591no—
1078#433C2×D5911yescharacteristic, complemented
1079#432—591no—
1080#424—591no—
1081#424—591no—
1082#423—591no—
1083#419—591no—
1084#418—591no—
1085#418—591no—
1086#418—591no—
1087#416—591no—
1088#416—591no—
1089C59#6209211yescharacteristic, complemented, Sylow
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—1181no—
1093C2×#41C22×D5911yescharacteristic
1094C22×Q8—591no—
1095C22×Q8—591no—
1096C22×Q8—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—1181no—
1100C22×D4—1181no—
1101C22×D4C22×D5911yescharacteristic
1102#137—2362no—
1103#137—2362no—
1104#137—2362no—
1105AGL(1,ℤ/8)—2362no—
1106C2×Q16—591no—
1107C2×Q16—591no—
1108C2×Q16—591no—
1109C2×Q16—591no—
1110C2×Q16—591no—
1111C2×Q16C22×D5911yescharacteristic
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—2362no—
1123C2×SD16—2362no—
1124C2×SD16C22×D5911yescharacteristic
1125C2×SD16C22×D5911yescharacteristic
1126C2×SD16C22×D5911yescharacteristic
1127C2×SD16C22×D5911yescharacteristic
1128C2×D8—591no—
1129C2×D8C22×D5911yescharacteristic
1130C2×D8C22×D5911yescharacteristic
1131C2×D8C22×D5911yescharacteristic
1132C2×M16—591no—
1133C2×M16—591no—
1134C2×M16—591no—
1135C2×M16—591no—
1136C22×C8—591no—
1137C22×C8—591no—
1138C4⋊Q8—591no—
1139C4⋊Q8—591no—
1140C4⋊Q8—591no—
1141C4⋊Q8—591no—
1142C4⋊Q8—1181no—
1143C4⋊Q8—1181no—
1144C4⋊Q8—1181no—
1145C4⋊Q8—1181no—
1146C4⋊Q8C22×D5911yescharacteristic
1147#127—591no—
1148#127C22×D5911yescharacteristic
1149#127C22×D5911yescharacteristic
1150#126—21no—
1151#126—591no—
1152#126—591no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#126—1181no—
1161#126—1181no—
1162#125—591no—
1163#125—1181no—
1164#124—21no—
1165#124—591no—
1166#124—591no—
1167#124—591no—
1168#124—591no—
1169#124—591no—
1170#124—591no—
1171#124—1181no—
1172#124—1181no—
1173#124—1181no—
1174#124—1181no—
1175#124—1181no—
1176#124—1181no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124C22×D5911yescharacteristic
1188#124C22×D5911yescharacteristic
1189#124C22×D5911yescharacteristic
1190#123—21no—
1191#123—591no—
1192#123—591no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202C22⋊Q8—21no—
1203C22⋊Q8—591no—
1204C22⋊Q8—591no—
1205C22⋊Q8—591no—
1206C22⋊Q8—591no—
1207C22⋊Q8—591no—
1208C22⋊Q8—591no—
1209C22⋊Q8—1181no—
1210C22⋊Q8—1181no—
1211C22⋊Q8—1181no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8C22×D5911yescharacteristic
1221#121—21no—
1222#121—21no—
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—591no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121C22×D5911yescharacteristic
1242#120—21no—
1243#120—21no—
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251#120—1181no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×Q8—591no—
1259C4×Q8—591no—
1260C4×Q8—591no—
1261C4×Q8—591no—
1262C4×Q8—1181no—
1263C4×Q8—1181no—
1264C4×Q8—1181no—
1265C4×Q8—1181no—
1266C4×Q8—1181no—
1267C4×Q8—1181no—
1268C4×Q8—1181no—
1269C4×Q8—1181no—
1270C4×Q8C22×D5911yescharacteristic
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—591no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4C22×D5911yescharacteristic
1290#117—591no—
1291#117—591no—
1292#117—591no—
1293#117—591no—
1294#117—1181no—
1295#117—1181no—
1296#117—1181no—
1297#117—1181no—
1298#117—1181no—
1299#117—1181no—
1300#117—1181no—
1301#117—1181no—
1302#117C22×D5911yescharacteristic
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C22⋊C4—1181no—
1307C2×C42—591no—
1308C2×C42—1181no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#107—591no—
1313#107—591no—
1314#107—591no—
1315#106—591no—
1316#106—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8—591no—
1325C4⋊C8C22×D5911yescharacteristic
1326C4⋊C8C22×D5911yescharacteristic
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103—591no—
1334#103—591no—
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103C22×D5911yescharacteristic
1340#103C22×D5911yescharacteristic
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102C22×D5911yescharacteristic
1354#102C22×D5911yescharacteristic
1355#102C22×D5911yescharacteristic
1356#102C22×D5911yescharacteristic
1357#102C22×D5911yescharacteristic
1358#102C22×D5911yescharacteristic
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363C22⋊C8C22×D5911yescharacteristic
1364C22⋊C8C22×D5911yescharacteristic
1365#97—591no—
1366#97—591no—
1367#97—591no—
1368#97C22×D5911yescharacteristic
1369C4×C8—591no—
1370C4×C8C22×D5911yescharacteristic
1371C24—21no—
1372C24—1181no—
1373C24—1181no—
1374#41—41no—
1375#41—41no—
1376#41—1182no—
1377#41—4722no—
1378#41—2361no—
1379#41—2361no—
1380#41—2361no—
1381C2×Q8—21no—
1382C2×Q8—591no—
1383C2×Q8—591no—
1384C2×Q8—591no—
1385C2×Q8—591no—
1386C2×Q8—1181no—
1387C2×Q8—1181no—
1388C2×Q8—1181no—
1389C2×Q8—1181no—
1390C2×Q8—1182no—
1391C2×Q8—1181no—
1392C2×Q8—1181no—
1393C2×Q8—1182no—
1394C2×Q8—2361no—
1395C2×Q8—2361no—
1396C2×Q8—2361no—
1397C2×Q8—2361no—
1398C2×Q8C23×D5911yescharacteristic
1399C2×Q8C23×D5911yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—591no—
1410C2×D4—591no—
1411C2×D4—591no—
1412C2×D4—591no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—4722no—
1425C2×D4—4722no—
1426C2×D4—2361no—
1427C2×D4—2361no—
1428C2×D4—2361no—
1429C2×D4—2361no—
1430C2×D4C23×D5911yescharacteristic
1431C2×D4C23×D5911yescharacteristic
1432C2×D4C23×D5911yescharacteristic
1433C2×D4C23×D5911yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—591no—
1437C22×C4—591no—
1438C22×C4—591no—
1439C22×C4—591no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4C23×D5911yescharacteristic
1451Q16—41no—
1452Q16—1182no—
1453Q16—1182no—
1454Q16—2361no—
1455Q16—2361no—
1456Q16—2361no—
1457SD16—41no—
1458SD16—41no—
1459SD16—41no—
1460SD16—41no—
1461SD16—1182no—
1462SD16—1182no—
1463SD16—1182no—
1464SD16—1182no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469SD16—2361no—
1470SD16—2361no—
1471D8—41no—
1472D8—41no—
1473D8—41no—
1474D8—2361no—
1475M16—2361no—
1476M16—2361no—
1477M16—2361no—
1478M16—2361no—
1479C2×C8—591no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—591no—
1483C2×C8—2361no—
1484C2×C8—2361no—
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C2×C8C23×D5911yescharacteristic
1488C2×C8C23×D5911yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—591no—
1493C4⋊C4—591no—
1494C4⋊C4—591no—
1495C4⋊C4—591no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—591no—
1500C4⋊C4—591no—
1501C4⋊C4—591no—
1502C4⋊C4—591no—
1503C4⋊C4—591no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4D4×D5911yescharacteristic
1524C4⋊C4D4×D5911yescharacteristic
1525C4⋊C4C23×D5911yescharacteristic
1526C4⋊C4C23×D5911yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—591no—
1537C22⋊C4—591no—
1538C22⋊C4—591no—
1539C22⋊C4—591no—
1540C22⋊C4—591no—
1541C22⋊C4—591no—
1542C22⋊C4—591no—
1543C22⋊C4—591no—
1544C22⋊C4—1181no—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4D4×D5911yescharacteristic
1573C22⋊C4D4×D5911yescharacteristic
1574C42—21no—
1575C42—591no—
1576C42—591no—
1577C42—591no—
1578C42—591no—
1579C42—1181no—
1580C42—1181no—
1581C42—1181no—
1582C42—1181no—
1583C42—1181no—
1584C42—1181no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42—1181no—
1591C42C23×D5911yescharacteristic
1592C42C23×D5911yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—81no—
1598C23—81no—
1599C23—81no—
1600C23—591no—
1601C23—591no—
1602C23—1181no—
1603C23—4721no—
1604C23—4721no—
1605C23—4721no—
1606C23—4721no—
1607C23—4721no—
1608C23—2362no—
1609C23C2×D4×D5911yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—81no—
1615Q8—592no—
1616Q8—1181no—
1617Q8—1181no—
1618Q8—1181no—
1619Q8—1181no—
1620Q8—1181no—
1621Q8—4721no—
1622Q8—4721no—
1623Q8—4721no—
1624Q8—4721no—
1625Q8—2361no—
1626Q8—2362no—
1627Q8—2362no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—1181no—
1644D4—1181no—
1645D4—4721no—
1646D4—4721no—
1647D4—4721no—
1648D4—4721no—
1649D4—4721no—
1650D4—4721no—
1651D4—4721no—
1652D4—4721no—
1653D4—2361no—
1654D4—2361no—
1655D4—2361no—
1656D4—2362no—
1657D4—2362no—
1658D4—2362no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—591no—
1668C2×C4—591no—
1669C2×C4—591no—
1670C2×C4—591no—
1671C2×C4—591no—
1672C2×C4—591no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—4721no—
1688C2×C4—4721no—
1689C2×C4—4721no—
1690C2×C4—2361no—
1691C2×C4—2361no—
1692C2×C4—2362no—
1693C2×C4—2362no—
1694C2×C4—2362no—
1695C2×C4—2362no—
1696C2×C4C2×D4×D5911yescharacteristic
1697C2×C4C2×D4×D5911yescharacteristic
1698C2×C4C2×D4×D5911yescharacteristic
1699C2×C4C2×D4×D5911yescharacteristic
1700C2×C4C2×D4×D5911yescharacteristic
1701C2×C4C24×D5911yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1181no—
1707C8—1181no—
1708C8—1181no—
1709C8—1181no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—162no—
1726C22—1181no—
1727C22—1181no—
1728C22—1181no—
1729C22—1181no—
1730C22—1181no—
1731C22—1181no—
1732C22—9442no—
1733C22—9442no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22C22×D4×D5911yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—1181no—
1748C4—1181no—
1749C4—1182no—
1750C4—1181no—
1751C4—1181no—
1752C4—1181no—
1753C4—1181no—
1754C4—2361no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4H(5,𝔽2)×D5911yescharacteristic
1761C4#1683823711yescharacteristic
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—4721no—
1768C2—2361no—
1769C2—2361no—
1770C2#2143776311yescharacteristic
1771C2#2143887111yescharacteristic
1772C2#2143887811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3224C2
socleC22×C59C23×D4
hypercenter#3224D59
hypocenterC59#62092
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #21438614C2semidirect
2. #21438109C2semidirect
3. #21437168C2semidirect
4. #21437157C2semidirect
5. #21436915C2semidirect
6. #21436907C2semidirect
7. #21436326C2semidirect
8. #21436320C2semidirect
9. #21436256C2semidirect
10. #21436245C2semidirect
11. #21436166C2semidirect
12. #21436161C2semidirect
13. #21435751C2semidirect
14. #21435746C2semidirect
15. #21435610C2semidirect
16. #21435604C2semidirect
17. #21435595C2semidirect
18. #21435590C2semidirect
19. #21435554C2semidirect
20. #21435552C2semidirect
21. #21435481C2semidirect
22. #21435187C2semidirect
23. #21435097C2semidirect
24. #21434327C2semidirect
25. #21434322C2semidirect
26. #21434244C2semidirect
27. #21433613C2semidirect
28. #21433612C2semidirect
29. #21433585C2semidirect
30. #21433261C2semidirect
31. C59×#3224C2semidirect
32. C2×#14273757C22semidirect
33. C2×#14273756C22semidirect
34. C2×#14273756C22semidirect
36. C22×#11745670C22semidirect
37. C2×SD16×D59C22semidirect
42. #16838132C22semidirect
43. #16838126C22semidirect
44. #16838123C22semidirect
46. #16838121C22semidirect
49. #16838116C22semidirect
51. #16838065C22semidirect
53. #16838060C22semidirect
55. #16838058C22semidirect
66. #16838017C22semidirect
72. #16837956C22semidirect
78. #16837879C22semidirect
79. #16837878C22semidirect
80. C4×#11745687C22semidirect
81. #16837795C22semidirect
82. #16837793C22semidirect
84. #16837785C22semidirect
85. #16837763C22semidirect
86. #16837760C22semidirect
87. #16837760C22semidirect
89. #16837744C22semidirect
90. #16837741C22semidirect
93. #16837725C22semidirect
94. #16837725C22semidirect
95. #16837698C22semidirect
96. #16837697C22semidirect
97. #16837695C22semidirect
98. #16837694C22semidirect
99. #16837688C22semidirect
100. #16837682C22semidirect
101. #16837680C22semidirect
102. #16837680C22semidirect
103. #16837680C22semidirect
104. #16837679C22semidirect
107. #16837647C22semidirect
108. #16837647C22semidirect
109. #16837646C22semidirect
110. #16837645C22semidirect
111. #16837645C22semidirect
112. #16837645C22semidirect
113. #16837642C22semidirect
114. #16837641C22semidirect
117. #16837627C22semidirect
118. #16837625C22semidirect
119. #16837625C22semidirect
120. #16837624C22semidirect
121. #16837623C22semidirect
122. #16837623C22semidirect
123. #16837622C22semidirect
124. #16837622C22semidirect
125. #16837621C22semidirect
126. #16837621C22semidirect
127. #16837621C22semidirect
128. #16837621C22semidirect
129. #16837621C22semidirect
130. #16837619C22semidirect
131. #16837617C22semidirect
132. #16837615C22semidirect
133. #16837615C22semidirect
134. #16837614C22semidirect
135. #16837605C22semidirect
136. #16837605C22semidirect
141. #16837599C22semidirect
142. #16837599C22semidirect
143. #16837565C22semidirect
144. #16837560C22semidirect
145. #16837559C22semidirect
146. #16837556C22semidirect
147. #16837556C22semidirect
149. #16837554C22semidirect
151. #16837544C22semidirect
152. #16837544C22semidirect
153. #16837544C22semidirect
156. #16837534C22semidirect
157. #16837532C22semidirect
158. #16837530C22semidirect
159. #16837514C22semidirect
160. #16837514C22semidirect
161. #16837510C22semidirect
162. #16837509C22semidirect
163. #16837504C22semidirect
164. #16837499C22semidirect
165. #16837499C22semidirect
166. #16837499C22semidirect
167. C4×Dic236C22semidirect
168. #16837494C22semidirect
169. C4×#11745660C22semidirect
170. SD16×Dic59C22semidirect
171. #16837481C22semidirect
172. #16837477C22semidirect
173. #16837476C22semidirect
174. #16837475C22semidirect
175. #16837470C22semidirect
176. #16837470C22semidirect
177. #16837462C22semidirect
178. #16837458C22semidirect
179. #16837429C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
182. #16837409C22semidirect
183. #16837407C22semidirect
185. #16837405C22semidirect
186. #16837398C22semidirect
187. #16837395C22semidirect
188. C59×#542C22semidirect
191. C59×#495C22semidirect
192. C59×#489C22semidirect
194. C59×#464C22semidirect
195. C59×#463C22semidirect
196. C59×#460C22semidirect
197. C59×#459C22semidirect
198. C59×#452C22semidirect
199. C59×#450C22semidirect
200. C59×#449C22semidirect
201. C59×#447C22semidirect
202. C59×#433C22semidirect
898. #3224D59semidirect
953. #542C2×D59semidirect
974. #495C2×D59semidirect
978. #489C2×D59semidirect
1022. #464C2×D59semidirect
1028. #463C2×D59semidirect
1037. #460C2×D59semidirect
1038. #459C2×D59semidirect
1040. #452C2×D59semidirect
1048. #450C2×D59semidirect
1052. #449C2×D59semidirect
1056. #447C2×D59semidirect
1078. #433C2×D59semidirect
1089. C59#62092semidirect

Maximal subgroups

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

subgroupindex
#214386142
#214381092
#214371682
#214371572
#214369152
#214369072
#214363262
#214363202
#214362562
#214362452
#214361662
#214361612
#214357512
#214357462
#214356102
#214356042
#214355952
#214355902
#214355542
#214355522
#214354812
#214351872
#214350972
#214343272
#214343222
#214342442
#214336132
#214336122
#214335852
#214332612
C59×#32242
#6209259