Finite Group Databasebeta

← #29484122

Subgroups — #29484122

Order 15104.

1842 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#21438072C211yesmaximal, characteristic, complemented
3#21437154C211yesmaximal, characteristic, complemented
4#21437146C211yesmaximal, characteristic, complemented
5#21436855C211yesmaximal, characteristic, complemented
6#21436844C211yesmaximal, characteristic, complemented
7#21436363C211yesmaximal, characteristic, complemented
8#21436357C211yesmaximal, characteristic, complemented
9#21436181C211yesmaximal, characteristic, complemented
10#21436170C211yesmaximal, characteristic, complemented
11#21436121C211yesmaximal, characteristic, complemented
12#21436116C211yesmaximal, characteristic, complemented
13#21435695C211yesmaximal, characteristic, complemented
14#21435694C211yesmaximal, characteristic, complemented
15#21435650C211yesmaximal, characteristic, complemented
16#21435644C211yesmaximal, characteristic, complemented
17#21435625C211yesmaximal, characteristic, complemented
18#21435619C211yesmaximal, characteristic, complemented
19#21435527C211yesmaximal, characteristic, complemented
20#21435516C211yesmaximal, characteristic, complemented
21#21435481C211yesmaximal, characteristic, complemented
22#21435167C211yesmaximal, characteristic, complemented
23#21435097C211yesmaximal, characteristic, complemented
24#21434360C211yesmaximal, characteristic, complemented
25#21434357C211yesmaximal, characteristic, complemented
26#21434246C211yesmaximal, characteristic, complemented
27#21433632C211yesmaximal, characteristic, complemented
28#21433631C211yesmaximal, characteristic, complemented
29#21433587C211yesmaximal, characteristic, complemented
30#21433261C211yesmaximal, characteristic, complemented
31C59×#3222C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic, complemented
33C2×#14273754C2211yescharacteristic
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273753C2211yescharacteristic, complemented
36C2×#14273748C2211yescharacteristic, complemented
37C2×#14273747C2211yescharacteristic, complemented
38#16838147—21no—
39#16838145—21no—
40#16838138C2211yescharacteristic
41#16838134C2211yescharacteristic
42#16838127C2211yescharacteristic, complemented
43#16838110C2211yescharacteristic, complemented
44#16838108C2211yescharacteristic, complemented
45#16838103—21no—
46#16838094C2211yescharacteristic, complemented
47#16838090—21no—
48#16838090C2211yescharacteristic, complemented
49#16838088—21no—
50#16838084—21no—
51#16838060C2211yescharacteristic
52#16838059C2211yescharacteristic
53#16838055C2211yescharacteristic, complemented
54#16838054C2211yescharacteristic, complemented
55#16838054C2211yescharacteristic, complemented
56#16838046C2211yescharacteristic
57#16838041—21no—
58#16838040C2211yescharacteristic
59#16838039—21no—
60#16838037C2211yescharacteristic
61D4×C22⋊D59C2211yescharacteristic
62#16838023C2211yescharacteristic
63#16838021C2211yescharacteristic
64#16838010C2211yescharacteristic, complemented
65#16838000—21no—
66#16837993—21no—
67#16837989—21no—
68#16837987—21no—
69#16837984—21no—
70#16837965C2211yescharacteristic
71#16837962—21no—
72#16837956C2211yescharacteristic, complemented
73#16837950C2211yescharacteristic
74#16837935—21no—
75#16837930C2211yescharacteristic
76#125×D59—21no—
77#124×D59C2211yescharacteristic
78#16837884C2211yescharacteristic, complemented
79#16837882C2211yescharacteristic, complemented
80C4×#11745689C2211yescharacteristic, complemented
81#16837795C2211yescharacteristic, complemented
82#16837793C2211yescharacteristic, complemented
83#16837793C2211yescharacteristic, complemented
84#16837773C2211yescharacteristic
85#16837765C2211yescharacteristic
86#16837763C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837738C2211yescharacteristic, complemented
90#16837736C2211yescharacteristic, complemented
91#16837724C2211yescharacteristic, complemented
92#16837724C2211yescharacteristic, complemented
93#16837716C2211yescharacteristic
94#16837714C2211yescharacteristic
95#16837711C2211yescharacteristic, complemented
96#16837706C2211yescharacteristic, complemented
97#16837700C2211yescharacteristic, complemented
98#16837699C2211yescharacteristic, complemented
99#16837698C2211yescharacteristic, complemented
100#16837697C2211yescharacteristic, complemented
101#16837687C2211yescharacteristic, complemented
102#16837683C2211yescharacteristic, complemented
103#16837680C2211yescharacteristic, complemented
104#16837680C2211yescharacteristic, complemented
105#16837659C2211yescharacteristic, complemented
106#16837658C2211yescharacteristic, complemented
107#16837650C2211yescharacteristic
108#16837647C2211yescharacteristic, complemented
109#16837647C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic
111#16837645C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837641C2211yescharacteristic, complemented
114#16837640C2211yescharacteristic, complemented
115#16837633C2211yescharacteristic
116#16837630C2211yescharacteristic
117#16837626C2211yescharacteristic, complemented
118#16837625C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837624C2211yescharacteristic, complemented
121#16837622C2211yescharacteristic, complemented
122#16837622C2211yescharacteristic, complemented
123#16837621C2211yescharacteristic, complemented
124#16837621C2211yescharacteristic, complemented
125#16837620C2211yescharacteristic, complemented
126#16837618C2211yescharacteristic, complemented
127#16837616C2211yescharacteristic, complemented
128#16837616C2211yescharacteristic, complemented
129#16837614C2211yescharacteristic, complemented
130#16837614C2211yescharacteristic, complemented
131#16837610C2211yescharacteristic, complemented
132#16837609C2211yescharacteristic, complemented
133#16837605C2211yescharacteristic, complemented
134#16837605C2211yescharacteristic, complemented
135#16837605C2211yescharacteristic, complemented
136#16837604C2211yescharacteristic, complemented
137#16837600C2211yescharacteristic
138#16837599C2211yescharacteristic
139#16837599C2211yescharacteristic, complemented
140#16837596C2211yescharacteristic
141#16837594C2211yescharacteristic
142#16837594C2211yescharacteristic, complemented
143#16837566C2211yescharacteristic, complemented
144#16837565C2211yescharacteristic, complemented
145#16837563C2211yescharacteristic, complemented
146#16837561C2211yescharacteristic, complemented
147#16837559C2211yescharacteristic, complemented
148#16837556C2211yescharacteristic, complemented
149#16837554C2211yescharacteristic
150#16837554C2211yescharacteristic, complemented
151#16837551C2211yescharacteristic
152#16837551C2211yescharacteristic, complemented
153#16837549C2211yescharacteristic
154#16837546C2211yescharacteristic
155#16837546C2211yescharacteristic, complemented
156#16837546C2211yescharacteristic, complemented
157#16837532C2211yescharacteristic, complemented
158#16837530C2211yescharacteristic, complemented
159#16837511C2211yescharacteristic, complemented
160#16837511C2211yescharacteristic, complemented
161#16837505C2211yescharacteristic, complemented
162#16837504C2211yescharacteristic, complemented
163#16837504C2211yescharacteristic, complemented
164#16837503C2211yescharacteristic, complemented
165#16837503C2211yescharacteristic, complemented
166#16837503C2211yescharacteristic, complemented
167C4×Dic236C2211yescharacteristic, complemented
168Q16×Dic59C2211yescharacteristic, complemented
169C4×D472C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, 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#16837405C2211yescharacteristic
184#16837403C2211yescharacteristic, complemented
185#16837400C2211yescharacteristic, complemented
186C2×#14273648C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#541C2211yescharacteristic, complemented
189C59×#535C2211yescharacteristic
190C59×#497C2211yescharacteristic, complemented
191C59×#492C2211yescharacteristic
192C59×#490C2211yescharacteristic
193C59×#488C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#460C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#452C2211yescharacteristic, complemented
200C59×#450C2211yescharacteristic, complemented
201C59×#450C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C2×#11745687C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C22×C22⋊D59—21no—
210C2×D4×D59—21no—
211C2×D4×D59C2311yescharacteristic
212C2×D4×D59C2311yescharacteristic
213#14273759—42no—
214#14273754—42no—
215#14273754—42no—
216#14273753—42no—
217#14273748—42no—
218#14273747—42no—
219C2×Dic236C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745672C2311yescharacteristic
222C2×#11745672C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×D472C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745664C2311yescharacteristic
236C2×#11745659C2311yescharacteristic
237C2×#11745659C2311yescharacteristic
238C2×#11745659C2311yescharacteristic
239C22×C59⋊C8C2311yescharacteristic
240C2×C8×D59C2311yescharacteristic
241#14273727C2311yescharacteristic
242#14273726C2311yescharacteristic
243#14273725C2311yescharacteristic
244#14273725C2311yescharacteristic
245#14273723C2311yescharacteristic
246#14273722—21no—
247#14273722—21no—
248#14273722—21no—
249#14273722—21no—
250#14273722D411yescharacteristic
251#14273721—21no—
252#14273720—21no—
253#14273720D411yescharacteristic
254#14273719—21no—
255#14273718—21no—
256#14273718—21no—
257#14273718—21no—
258#14273718C2311yescharacteristic
259#14273717—21no—
260#14273717—21no—
261#14273717—21no—
262#14273717—21no—
263#14273717—21no—
264#14273717D411yescharacteristic
265#14273716C2311yescharacteristic
266#14273715C2311yescharacteristic
267#14273714—21no—
268#14273714—21no—
269#14273714—21no—
270#14273714C2311yescharacteristic
271#14273714C2311yescharacteristic
272#14273713—21no—
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273713D411yescharacteristic
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712D411yescharacteristic
285#14273711—21no—
286#14273711—21no—
287#14273711—21no—
288#14273710—21no—
289#14273709—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709D411yescharacteristic
294#14273708—21no—
295#14273708—21no—
296#14273708—21no—
297#14273707—21no—
298#14273707—21no—
299#14273707C2311yescharacteristic
300#14273707C2311yescharacteristic
301#14273706—21no—
302#14273706C2311yescharacteristic
303#14273705—21no—
304#14273705—21no—
305#14273705—21no—
306#14273705—21no—
307#14273705D411yescharacteristic
308#14273704—21no—
309#14273704—21no—
310#14273704—21no—
311#14273703C2311yescharacteristic
312#14273703C2311yescharacteristic
313#14273703C2311yescharacteristic
314#14273702—21no—
315#14273701C2311yescharacteristic
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700D411yescharacteristic
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273698—21no—
326#14273698—21no—
327#14273698—21no—
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×Dic59C2311yescharacteristic
340Q8×Dic59C2311yescharacteristic
341Q8×Dic59C2311yescharacteristic
342C4×Dic118—21no—
343C4×Dic118C2311yescharacteristic
344C4×Dic118C2311yescharacteristic
345C4×Dic118C2311yescharacteristic
346C4×Dic118C2311yescharacteristic
347#14273692—21no—
348C4×D236—21no—
349C4×D236—21no—
350C4×D236C2311yescharacteristic
351C4×D236C2311yescharacteristic
352C4×D236C2311yescharacteristic
353C4×D236C2311yescharacteristic
354D4×Dic59—21no—
355D4×Dic59—21no—
356D4×Dic59C2311yescharacteristic
357D4×Dic59C2311yescharacteristic
358D4×Dic59C2311yescharacteristic
359#14273689—21no—
360#14273689—21no—
361#14273689C2311yescharacteristic
362#14273689C2311yescharacteristic
363C4×C22⋊D59—21no—
364C4×C22⋊D59C2311yescharacteristic
365C4×C22⋊D59C2311yescharacteristic
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371#14273685—21no—
372#14273685—21no—
373#14273685—21no—
374#14273685C2311yescharacteristic
375#14273684—21no—
376#14273684—21no—
377#14273684C2311yescharacteristic
378#14273683—21no—
379C2×C4⋊Dic59C2311yescharacteristic
380C4⋊C4×D59—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59—21no—
383C4⋊C4×D59—21no—
384C4⋊C4×D59—21no—
385C4⋊C4×D59—21no—
386C4⋊C4×D59C2311yescharacteristic
387C2×C22⋊Dic59—21no—
388C2×(C2×D59)⋊C4—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C42×D59—21no—
392C42×D59C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273661C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
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#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
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×Q16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452#127×C59C2311yescharacteristic
453#127×C59C2311yescharacteristic
454#126×C59—21no—
455#126×C59—21no—
456#125×C59—21no—
457#125×C59—21no—
458#125×C59C2311yescharacteristic
459#124×C59C2311yescharacteristic
460#124×C59C2311yescharacteristic
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463#121×C59—21no—
464#121×C59—21no—
465#120×C59—21no—
466#120×C59—21no—
467C4×Q8×C59C2311yescharacteristic
468C4×Q8×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×C59C2411yescharacteristic
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—41no—
499C2×D4×C59—41no—
500C2×D4×C59C2411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C22×C4×C59—21no—
504C22×C4×C59C2411yescharacteristic
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—82no—
516C2×C22⋊D59C2×D411yescharacteristic
517C2×C22⋊D59C2×D411yescharacteristic
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59—21no—
523#11745689—22no—
524#11745689—22no—
525#11745689—41no—
526#11745689—41no—
527Q8×D59—41no—
528Q8×D59—41no—
529#11745687—41no—
530#11745687—41no—
531#11745687—82no—
532D4×D59—41no—
533D4×D59—41no—
534D4×D59—41no—
535D4×D59—41no—
536D4×D59—82no—
537#11745685—22no—
538#11745685—41no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236C2×D411yescharacteristic
542C2×D236C2411yescharacteristic
543C2×D236C2411yescharacteristic
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59C2×D411yescharacteristic
555C2×C4×D59C2×D411yescharacteristic
556C2×C4×D59C2411yescharacteristic
557C2×C4×D59C2411yescharacteristic
558C2×Dic118—21no—
559C2×Dic118—21no—
560C2×Dic118—21no—
561C2×Dic118C2×D411yescharacteristic
562C2×Dic118C2411yescharacteristic
563C2×Dic118C2411yescharacteristic
564Q16×C59—41no—
565Q16×C59—41no—
566SD16×C59—41no—
567SD16×C59—41no—
568SD16×C59—41no—
569SD16×C59—41no—
570SD16×C59—41no—
571SD16×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×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59C2×D411yescharacteristic
585C4⋊C4×C59C2×D411yescharacteristic
586C4⋊C4×C59C2411yescharacteristic
587C4⋊C4×C59C2411yescharacteristic
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59C2×D411yescharacteristic
595C22⋊C4×C59C2×D411yescharacteristic
596C42×C59—21no—
597C42×C59—21no—
598C42×C59C2411yescharacteristic
599C42×C59C2411yescharacteristic
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⋊Dic59C2×D411yescharacteristic
612C22⋊Dic59C2×D411yescharacteristic
613#11745672—41no—
614#11745672—41no—
615#11745672—41no—
616#11745671—22no—
617#11745671—41no—
618#11745671—41no—
619#11745670—41no—
620#11745670—41no—
621#11745670—41no—
622#11745669—22no—
623#11745669—22no—
624#11745669—22no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4C2×D411yescharacteristic
642(C2×D59)⋊C4C2×D411yescharacteristic
643(C2×D59)⋊C4C2×D411yescharacteristic
644(C2×D59)⋊C4C2×D411yescharacteristic
645(C2×D59)⋊C4C2×D411yescharacteristic
646(C2×D59)⋊C4C2×D411yescharacteristic
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59C2×D411yescharacteristic
656C4⋊Dic59C2×D411yescharacteristic
657C4⋊Dic59C2411yescharacteristic
658C4⋊Dic59C2411yescharacteristic
659C4⋊Dic59C2411yescharacteristic
660C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
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—41no—
699D472—22no—
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—81no—
710C23×C59—81no—
711C23×C59—81no—
712C23×C59C22×D411yescharacteristic
713C22×D59—21no—
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—21no—
728Q8×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—81no—
736D4×C59—81no—
737D4×C59—81no—
738D4×C59—81no—
739D4×C59—81no—
740D4×C59—81no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—81no—
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C2511yescharacteristic
755C22⋊D59—41no—
756C22⋊D59—41no—
757C22⋊D59—42no—
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—81no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—81no—
774C2×Dic59—81no—
775C2×Dic59—81no—
776C2×Dic59—81no—
777C2×Dic59—81no—
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784D236—21no—
785D236—21no—
786D236—21no—
787D236—41no—
788D236—42no—
789D236—42no—
790D236H(5,𝔽2)12yes—
791C4×D59—21no—
792C4×D59—21no—
793C4×D59—21no—
794C4×D59—21no—
795C4×D59—41no—
796C4×D59—41no—
797C4×D59—42no—
798C4×D59—42no—
799C4×D59—42no—
800C4×D59—42no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59—81no—
806C4×D59—81no—
807Dic118—21no—
808Dic118—21no—
809Dic118—21no—
810Dic118—21no—
811Dic118—41no—
812Dic118—81no—
813Dic118—81no—
814Dic118—81no—
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#62089—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—162no—
837C22×C59C23×D411yescharacteristic
838C2×D59—21no—
839C2×D59—21no—
840C2×D59—21no—
841C2×D59—21no—
842C2×D59—21no—
843C2×D59—21no—
844C2×D59—22no—
845C2×D59—41no—
846C2×D59—41no—
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×C59—41no—
862C4×C59C2×H(5,𝔽2)11yescharacteristic
863C4×C59#58511yescharacteristic
864Dic59—21no—
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876#3558—591no—
877#3515—591no—
878#3400—591no—
879#3400—591no—
880#3370—591no—
881#3370—591no—
882#3327—591no—
883#3327—591no—
884#3314—591no—
885#3314—591no—
886#3310—591no—
887#3310—591no—
888#3272—591no—
889#3272—591no—
890#3269—591no—
891#3269—591no—
892#3267—591no—
893#3267—591no—
894#3258—591no—
895#3258—591no—
896#3254—591no—
897#3222—591no—
898#3222D5911yescharacteristic, complemented
899#3215—591no—
900#3124—591no—
901#3124—591no—
902#3115—591no—
903#3045—591no—
904#3045—591no—
905#3040—591no—
906#2995—591no—
907C2×C59—41no—
908C2×C59—81no—
909C2×C59—81no—
910C2×C59—81no—
911C2×C59#348811yescharacteristic
912C2×C59#358511yescharacteristic
913C2×C59#358611yescharacteristic
914D59—41no—
915D59—41no—
916D59—42no—
917D59—81no—
918C2×#137—591no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)—591no—
921C2×AGL(1,ℤ/8)—591no—
922C2×#135—591no—
923C2×#135—591no—
924#562—1181no—
925H(3,𝔽4)—1181no—
926#559—591no—
927#559—591no—
928#557—591no—
929#554—591no—
930#554—591no—
931#553—1181no—
932#552—591no—
933#552—591no—
934#552—1181no—
935#552—1181no—
936#552—1181no—
937#548—591no—
938#548—591no—
939#547—591no—
940#547—591no—
941#547—591no—
942#546—591no—
943#546—591no—
944#546—1181no—
945#546—1181no—
946D42—591no—
947D42—591no—
948#542—591no—
949#542—591no—
950#541—591no—
951#541C2×D5911yescharacteristic, complemented
952#539—1181no—
953#539—1181no—
954#538—1181no—
955#538—1181no—
956#538—1181no—
957#535—591no—
958#535C2×D5911yescharacteristic
959#534—1181no—
960#533—591no—
961#532—591no—
962#529—591no—
963#529—1181no—
964C2×#125—1181no—
965C2×#124—591no—
966#520—591no—
967#520—591no—
968C4×#41—591no—
969#497—591no—
970#497—591no—
971#497—591no—
972#497C2×D5911yescharacteristic, complemented
973#492—591no—
974#492C2×D5911yescharacteristic
975#490—591no—
976#490C2×D5911yescharacteristic
977#489—591no—
978#489—591no—
979#488—591no—
980#488C2×D5911yescharacteristic, complemented
981#484—591no—
982#484—591no—
983#482—591no—
984#482—591no—
985#480—591no—
986#480—591no—
987#479—591no—
988#479—591no—
989#478—591no—
990#478—591no—
991#477—591no—
992#477—591no—
993#475—591no—
994#474—591no—
995#474—591no—
996#474—591no—
997#470—591no—
998#470—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#465—591no—
1008#465—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#464C2×D5911yescharacteristic, complemented
1018#464C2×D5911yescharacteristic, complemented
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#463—591no—
1025#462—591no—
1026#462—591no—
1027#461—591no—
1028#461—591no—
1029#461—591no—
1030#461—591no—
1031#460—591no—
1032#460—591no—
1033#460—591no—
1034#460C2×D5911yescharacteristic, complemented
1035#460C2×D5911yescharacteristic, complemented
1036#459—591no—
1037#459—591no—
1038#459—591no—
1039#452—591no—
1040#452—591no—
1041#452—591no—
1042#452—591no—
1043#452C2×D5911yescharacteristic, complemented
1044#452C2×D5911yescharacteristic, complemented
1045#451—591no—
1046#451—591no—
1047#450—591no—
1048#450—591no—
1049#450—591no—
1050#450—591no—
1051#450C2×D5911yescharacteristic, complemented
1052#450C2×D5911yescharacteristic, complemented
1053#449—591no—
1054#449—591no—
1055#449—591no—
1056#449—591no—
1057#446—591no—
1058#446—591no—
1059#442—591no—
1060#442—591no—
1061#440—591no—
1062#440—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066#440—591no—
1067C4×Q16—591no—
1068C4×Q16—591no—
1069C4×D8—591no—
1070C4×D8—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#417—591no—
1086#417—591no—
1087C2×#102—591no—
1088C2×#102—591no—
1089C59#6208911yescharacteristic, complemented, Sylow
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—591no—
1094C2×#41—1181no—
1095C2×#41C22×D5911yescharacteristic
1096C22×Q8—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—1181no—
1100C22×D4—1181no—
1101C22×D4C22×D5911yescharacteristic
1102#137—2362no—
1103AGL(1,ℤ/8)—2362no—
1104AGL(1,ℤ/8)—2362no—
1105AGL(1,ℤ/8)—2362no—
1106#135—2362no—
1107#135—2362no—
1108C2×Q16—591no—
1109C2×Q16—591no—
1110C2×Q16—591no—
1111C2×Q16—591no—
1112C2×Q16C22×D5911yescharacteristic
1113C2×Q16C22×D5911yescharacteristic
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×SD16C22×D5911yescharacteristic
1123C2×SD16C22×D5911yescharacteristic
1124C2×SD16C22×D5911yescharacteristic
1125C2×SD16C22×D5911yescharacteristic
1126C2×SD16C22×D5911yescharacteristic
1127C2×SD16C22×D5911yescharacteristic
1128C2×D8—591no—
1129C2×D8—591no—
1130C2×D8—591no—
1131C2×D8—591no—
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⋊Q8C22×D5911yescharacteristic
1143#127—591no—
1144#127C22×D5911yescharacteristic
1145#127C22×D5911yescharacteristic
1146#126—21no—
1147#126—21no—
1148#126—591no—
1149#126—591no—
1150#126—1181no—
1151#126—1181no—
1152#126—1181no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#125—21no—
1157#125—21no—
1158#125—591no—
1159#125—591no—
1160#125—1181no—
1161#125—1181no—
1162#125—1181no—
1163#125—1181no—
1164#125—1181no—
1165#125—1181no—
1166#125—1181no—
1167#125—1181no—
1168#125—1181no—
1169#125C22×D5911yescharacteristic
1170#124—591no—
1171#124—591no—
1172#124—591no—
1173#124—591no—
1174#124—591no—
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#124C22×D5911yescharacteristic
1185#124C22×D5911yescharacteristic
1186#123—591no—
1187#123—591no—
1188#123—1181no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
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—
1202#123—1181no—
1203#123—1181no—
1204C22⋊Q8—591no—
1205C22⋊Q8—591no—
1206C22⋊Q8—591no—
1207C22⋊Q8—591no—
1208C22⋊Q8—591no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
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⋊Q8—1181no—
1221C22⋊Q8C22×D5911yescharacteristic
1222C22⋊Q8C22×D5911yescharacteristic
1223#121—21no—
1224#121—21no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—591no—
1229#121—591no—
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#121—1181no—
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—1181no—
1260C4×Q8—1181no—
1261C4×Q8C22×D5911yescharacteristic
1262C4×Q8C22×D5911yescharacteristic
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286#117—591no—
1287#117—591no—
1288#117—1181no—
1289#117—1181no—
1290#117—1181no—
1291#117—1181no—
1292#117—1181no—
1293#117—1181no—
1294#117C22×D5911yescharacteristic
1295C2×C4⋊C4—591no—
1296C2×C4⋊C4—591no—
1297C2×C4⋊C4—1181no—
1298C2×C4⋊C4—1181no—
1299C2×C4⋊C4—1181no—
1300C2×C4⋊C4—1181no—
1301C2×C4⋊C4—1181no—
1302C2×C4⋊C4—1181no—
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—1182no—
1378#41—1182no—
1379#41—4722no—
1380#41—2361no—
1381#41—2361no—
1382#41—2361no—
1383#41—2361no—
1384#41—2361no—
1385C2×Q8—591no—
1386C2×Q8—591no—
1387C2×Q8—591no—
1388C2×Q8—1181no—
1389C2×Q8—1181no—
1390C2×Q8—1181no—
1391C2×Q8—2361no—
1392C2×Q8—2361no—
1393C2×Q8C23×D5911yescharacteristic
1394C2×Q8C23×D5911yescharacteristic
1395C2×Q8C23×D5911yescharacteristic
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—591no—
1405C2×D4—591no—
1406C2×D4—591no—
1407C2×D4—591no—
1408C2×D4—591no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
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—4722no—
1422C2×D4—4722no—
1423C2×D4—2361no—
1424C2×D4—2361no—
1425C2×D4—2361no—
1426C2×D4—2361no—
1427C2×D4C23×D5911yescharacteristic
1428C2×D4C23×D5911yescharacteristic
1429C2×D4C23×D5911yescharacteristic
1430C22×C4—21no—
1431C22×C4—591no—
1432C22×C4—591no—
1433C22×C4—591no—
1434C22×C4—591no—
1435C22×C4—1181no—
1436C22×C4—1181no—
1437C22×C4—1181no—
1438C22×C4—1181no—
1439C22×C4—1181no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4C23×D5911yescharacteristic
1451Q16—41no—
1452Q16—41no—
1453Q16—2361no—
1454Q16—2361no—
1455Q16—2361no—
1456Q16—2361no—
1457SD16—41no—
1458SD16—41no—
1459SD16—41no—
1460SD16—41no—
1461SD16—41no—
1462SD16—41no—
1463SD16—1182no—
1464SD16—1182no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469SD16—2361no—
1470SD16—2361no—
1471D8—1182no—
1472D8—1182no—
1473D8—1182no—
1474D8—1182no—
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—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—591no—
1500C4⋊C4—591no—
1501C4⋊C4—591no—
1502C4⋊C4—591no—
1503C4⋊C4—591no—
1504C4⋊C4—591no—
1505C4⋊C4—591no—
1506C4⋊C4—591no—
1507C4⋊C4—591no—
1508C4⋊C4—591no—
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⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4D4×D5911yescharacteristic
1532C4⋊C4D4×D5911yescharacteristic
1533C4⋊C4C23×D5911yescharacteristic
1534C4⋊C4C23×D5911yescharacteristic
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—591no—
1542C22⋊C4—591no—
1543C22⋊C4—591no—
1544C22⋊C4—591no—
1545C22⋊C4—591no—
1546C22⋊C4—591no—
1547C22⋊C4—591no—
1548C22⋊C4—591no—
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⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4D4×D5911yescharacteristic
1577C22⋊C4D4×D5911yescharacteristic
1578C42—21no—
1579C42—21no—
1580C42—591no—
1581C42—591no—
1582C42—591no—
1583C42—591no—
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—81no—
1597C23—81no—
1598C23—81no—
1599C23—591no—
1600C23—591no—
1601C23—1181no—
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—21no—
1615Q8—21no—
1616Q8—1181no—
1617Q8—1181no—
1618Q8—1181no—
1619Q8—1181no—
1620Q8—4721no—
1621Q8—4721no—
1622Q8—4721no—
1623Q8—2361no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—592no—
1637D4—1181no—
1638D4—1181no—
1639D4—1181no—
1640D4—4721no—
1641D4—4721no—
1642D4—4721no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—2361no—
1648D4—2362no—
1649D4—2362no—
1650D4—2361no—
1651D4—2361no—
1652D4—2362no—
1653D4—2362no—
1654D4—2362no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—81no—
1663C2×C4—591no—
1664C2×C4—591no—
1665C2×C4—591no—
1666C2×C4—591no—
1667C2×C4—591no—
1668C2×C4—591no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—4721no—
1680C2×C4—4721no—
1681C2×C4—4721no—
1682C2×C4—4721no—
1683C2×C4—4721no—
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—162no—
1723C22—1181no—
1724C22—1181no—
1725C22—1182no—
1726C22—1181no—
1727C22—1181no—
1728C22—1181no—
1729C22—1181no—
1730C22—9442no—
1731C22—9442no—
1732C22—2361no—
1733C22—2361no—
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—41no—
1748C4—1181no—
1749C4—1181no—
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—4721no—
1767C2—2361no—
1768C2—2361no—
1769C2—2362no—
1770C2#2143776311yescharacteristic
1771C2#2143887411yescharacteristic
1772C2#2143887811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3222C2
socleC22×C59C23×D4
hypercenter#3222D59
hypocenterC59#62089
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3222

Complements

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

NH ≅ G/Ntype
1. #21438614C2semidirect
2. #21438072C2semidirect
3. #21437154C2semidirect
4. #21437146C2semidirect
5. #21436855C2semidirect
6. #21436844C2semidirect
7. #21436363C2semidirect
8. #21436357C2semidirect
9. #21436181C2semidirect
10. #21436170C2semidirect
11. #21436121C2semidirect
12. #21436116C2semidirect
13. #21435695C2semidirect
14. #21435694C2semidirect
15. #21435650C2semidirect
16. #21435644C2semidirect
17. #21435625C2semidirect
18. #21435619C2semidirect
19. #21435527C2semidirect
20. #21435516C2semidirect
21. #21435481C2semidirect
22. #21435167C2semidirect
23. #21435097C2semidirect
24. #21434360C2semidirect
25. #21434357C2semidirect
26. #21434246C2semidirect
27. #21433632C2semidirect
28. #21433631C2semidirect
29. #21433587C2semidirect
30. #21433261C2semidirect
31. C59×#3222C2semidirect
32. C2×#14273759C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273753C22semidirect
36. C2×#14273748C22semidirect
37. C2×#14273747C22semidirect
42. #16838127C22semidirect
43. #16838110C22semidirect
44. #16838108C22semidirect
46. #16838094C22semidirect
48. #16838090C22semidirect
53. #16838055C22semidirect
54. #16838054C22semidirect
55. #16838054C22semidirect
64. #16838010C22semidirect
72. #16837956C22semidirect
78. #16837884C22semidirect
79. #16837882C22semidirect
80. C4×#11745689C22semidirect
81. #16837795C22semidirect
82. #16837793C22semidirect
83. #16837793C22semidirect
86. #16837763C22semidirect
87. #16837760C22semidirect
88. #16837755C22semidirect
89. #16837738C22semidirect
90. #16837736C22semidirect
91. #16837724C22semidirect
92. #16837724C22semidirect
95. #16837711C22semidirect
96. #16837706C22semidirect
97. #16837700C22semidirect
98. #16837699C22semidirect
99. #16837698C22semidirect
100. #16837697C22semidirect
101. #16837687C22semidirect
102. #16837683C22semidirect
103. #16837680C22semidirect
104. #16837680C22semidirect
105. #16837659C22semidirect
106. #16837658C22semidirect
108. #16837647C22semidirect
109. #16837647C22semidirect
111. #16837645C22semidirect
112. #16837645C22semidirect
113. #16837641C22semidirect
114. #16837640C22semidirect
117. #16837626C22semidirect
118. #16837625C22semidirect
119. #16837624C22semidirect
120. #16837624C22semidirect
121. #16837622C22semidirect
122. #16837622C22semidirect
123. #16837621C22semidirect
124. #16837621C22semidirect
125. #16837620C22semidirect
126. #16837618C22semidirect
127. #16837616C22semidirect
128. #16837616C22semidirect
129. #16837614C22semidirect
130. #16837614C22semidirect
131. #16837610C22semidirect
132. #16837609C22semidirect
133. #16837605C22semidirect
134. #16837605C22semidirect
135. #16837605C22semidirect
136. #16837604C22semidirect
139. #16837599C22semidirect
142. #16837594C22semidirect
143. #16837566C22semidirect
144. #16837565C22semidirect
145. #16837563C22semidirect
146. #16837561C22semidirect
147. #16837559C22semidirect
148. #16837556C22semidirect
150. #16837554C22semidirect
152. #16837551C22semidirect
155. #16837546C22semidirect
156. #16837546C22semidirect
157. #16837532C22semidirect
158. #16837530C22semidirect
159. #16837511C22semidirect
160. #16837511C22semidirect
161. #16837505C22semidirect
162. #16837504C22semidirect
163. #16837504C22semidirect
164. #16837503C22semidirect
165. #16837503C22semidirect
166. #16837503C22semidirect
167. C4×Dic236C22semidirect
168. Q16×Dic59C22semidirect
169. C4×D472C22semidirect
170. #16837482C22semidirect
171. #16837481C22semidirect
172. #16837477C22semidirect
173. #16837476C22semidirect
174. #16837475C22semidirect
175. #16837470C22semidirect
176. #16837470C22semidirect
177. #16837462C22semidirect
178. #16837458C22semidirect
179. #16837429C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
182. #16837409C22semidirect
184. #16837403C22semidirect
185. #16837400C22semidirect
186. C2×#14273648C22semidirect
187. #102×D59C22semidirect
188. C59×#541C22semidirect
190. C59×#497C22semidirect
193. C59×#488C22semidirect
194. C59×#464C22semidirect
195. C59×#464C22semidirect
196. C59×#460C22semidirect
197. C59×#460C22semidirect
198. C59×#452C22semidirect
199. C59×#452C22semidirect
200. C59×#450C22semidirect
201. C59×#450C22semidirect
202. C59×#433C22semidirect
898. #3222D59semidirect
951. #541C2×D59semidirect
972. #497C2×D59semidirect
980. #488C2×D59semidirect
1017. #464C2×D59semidirect
1018. #464C2×D59semidirect
1034. #460C2×D59semidirect
1035. #460C2×D59semidirect
1043. #452C2×D59semidirect
1044. #452C2×D59semidirect
1051. #450C2×D59semidirect
1052. #450C2×D59semidirect
1078. #433C2×D59semidirect
1089. C59#62089semidirect

Maximal subgroups

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

subgroupindex
#214386142
#214380722
#214371542
#214371462
#214368552
#214368442
#214363632
#214363572
#214361812
#214361702
#214361212
#214361162
#214356952
#214356942
#214356502
#214356442
#214356252
#214356192
#214355272
#214355162
#214354812
#214351672
#214350972
#214343602
#214343572
#214342462
#214336322
#214336312
#214335872
#214332612
C59×#32222
#6208959