Finite Group Databasebeta

← #29482204

Subgroups — #29482204

Order 15104.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438614C211yesmaximal, characteristic, complemented
2#21438126C211yesmaximal, characteristic, complemented
3#21437143C211yesmaximal, characteristic, complemented
4#21437135C211yesmaximal, characteristic, complemented
5#21436855C211yesmaximal, characteristic, complemented
6#21436844C211yesmaximal, characteristic, complemented
7#21436256C211yesmaximal, characteristic, complemented
8#21436245C211yesmaximal, characteristic, complemented
9#21436236C211yesmaximal, characteristic, complemented
10#21436230C211yesmaximal, characteristic, complemented
11#21435997C211yesmaximal, characteristic, complemented
12#21435991C211yesmaximal, characteristic, complemented
13#21435771C211yesmaximal, characteristic, complemented
14#21435766C211yesmaximal, characteristic, complemented
15#21435594C211yesmaximal, characteristic, complemented
16#21435590C211yesmaximal, characteristic, complemented
17#21435579C211yesmaximal, characteristic, complemented
18#21435569C211yesmaximal, characteristic, complemented
19#21435504C211yesmaximal, characteristic, complemented
20#21435501C211yesmaximal, characteristic, complemented
21#21435404C211yesmaximal, characteristic, complemented
22#21435145C211yesmaximal, characteristic, complemented
23#21435081C211yesmaximal, characteristic, complemented
24#21434282C211yesmaximal, characteristic, complemented
25#21434279C211yesmaximal, characteristic, complemented
26#21434186C211yesmaximal, characteristic, complemented
27#21433595C211yesmaximal, characteristic, complemented
28#21433594C211yesmaximal, characteristic, complemented
29#463×D59C211yesmaximal, characteristic, complemented
30#21433230C211yesmaximal, characteristic, complemented
31C59×#3220C211yesmaximal, characteristic, complemented
32C2×#14273752C2211yescharacteristic, complemented
33C2×#14273751C2211yescharacteristic, complemented
34C2×SD16×D59C2211yescharacteristic, complemented
35C22×#11745669C2211yescharacteristic, complemented
36C2×D8×D59C2211yescharacteristic
37C2×D8×D59C2211yescharacteristic, complemented
38#16838147—21no—
39#16838145—21no—
40#16838138C2211yescharacteristic, complemented
41#16838134C2211yescharacteristic, complemented
42#16838116C2211yescharacteristic, complemented
43#16838108C2211yescharacteristic, complemented
44#16838105C2211yescharacteristic, complemented
45#16838099C2211yescharacteristic, complemented
46#16838097—21no—
47#16838072C2211yescharacteristic, complemented
48#16838060C2211yescharacteristic, complemented
49#16838059C2211yescharacteristic, complemented
50#16838049—21no—
51#16838046C2211yescharacteristic, complemented
52#16838044—21no—
53#16838041—21no—
54#16838041—21no—
55#16838040C2211yescharacteristic, complemented
56#16838039—21no—
57#16838037C2211yescharacteristic, complemented
58#16838037C2211yescharacteristic, complemented
59#16838036C2211yescharacteristic, complemented
60#16838036C2211yescharacteristic, complemented
61D4×C22⋊D59C2211yescharacteristic, complemented
62#16838023C2211yescharacteristic, complemented
63#16838021C2211yescharacteristic, complemented
64#16838003C2211yescharacteristic, complemented
65#16837989—21no—
66#16837988—21no—
67#16837987—21no—
68#16837984—21no—
69#16837984—21no—
70#16837965C2211yescharacteristic, complemented
71#16837962—21no—
72#16837950C2211yescharacteristic, complemented
73#16837949C2211yescharacteristic, complemented
74#16837930C2211yescharacteristic
75#124×D59C2211yescharacteristic, complemented
76#16837910—21no—
77#121×D59—21no—
78#16837876C2211yescharacteristic, complemented
79#16837874C2211yescharacteristic, complemented
80C4×D4×D59C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic, complemented
83#16837788C2211yescharacteristic, complemented
84#16837777C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837727C2211yescharacteristic, complemented
92#16837725C2211yescharacteristic, complemented
93#16837719C2211yescharacteristic, complemented
94#16837719C2211yescharacteristic, complemented
95#16837711C2211yescharacteristic, complemented
96#16837706C2211yescharacteristic, complemented
97#16837700C2211yescharacteristic, complemented
98#16837699C2211yescharacteristic, complemented
99#16837693C2211yescharacteristic, complemented
100#16837692C2211yescharacteristic, complemented
101#16837683C2211yescharacteristic, complemented
102#16837682C2211yescharacteristic, complemented
103#16837680C2211yescharacteristic, complemented
104#16837680C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic, complemented
107#16837646C2211yescharacteristic, complemented
108#16837645C2211yescharacteristic, complemented
109#16837637C2211yescharacteristic, complemented
110#16837637C2211yescharacteristic, complemented
111#16837636C2211yescharacteristic, complemented
112#16837635C2211yescharacteristic, complemented
113#16837635C2211yescharacteristic, complemented
114#16837635C2211yescharacteristic, complemented
115#16837634C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837620C2211yescharacteristic, complemented
118#16837619C2211yescharacteristic, complemented
119#16837618C2211yescharacteristic, complemented
120#16837618C2211yescharacteristic, complemented
121#16837617C2211yescharacteristic, complemented
122#16837617C2211yescharacteristic, complemented
123#16837616C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837615C2211yescharacteristic, complemented
127#16837614C2211yescharacteristic, complemented
128#16837614C2211yescharacteristic, complemented
129#16837614C2211yescharacteristic, complemented
130#16837614C2211yescharacteristic, complemented
131#16837600C2211yescharacteristic, complemented
132#16837599C2211yescharacteristic, complemented
133#16837596C2211yescharacteristic
134#16837595C2211yescharacteristic, complemented
135#16837595C2211yescharacteristic, complemented
136#16837595C2211yescharacteristic, complemented
137#16837595C2211yescharacteristic, complemented
138#16837594C2211yescharacteristic
139#16837594C2211yescharacteristic, complemented
140#16837594C2211yescharacteristic, complemented
141#16837594C2211yescharacteristic, complemented
142#16837594C2211yescharacteristic, complemented
143#16837555C2211yescharacteristic, complemented
144#16837551C2211yescharacteristic, complemented
145#16837548C2211yescharacteristic, complemented
146#16837544C2211yescharacteristic, complemented
147#16837542C2211yescharacteristic, complemented
148#16837539C2211yescharacteristic, complemented
149#16837538C2211yescharacteristic
150#16837537C2211yescharacteristic, complemented
151#16837537C2211yescharacteristic, complemented
152#16837534C2211yescharacteristic
153#16837534C2211yescharacteristic, complemented
154#16837534C2211yescharacteristic, complemented
155#16837534C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837532C2211yescharacteristic, complemented
158#16837530C2211yescharacteristic, complemented
159#16837515C2211yescharacteristic, complemented
160#16837514C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837514C2211yescharacteristic, complemented
163#16837511C2211yescharacteristic, complemented
164#16837511C2211yescharacteristic, complemented
165#16837505C2211yescharacteristic, complemented
166#16837504C2211yescharacteristic, complemented
167C4×#11745660C2211yescharacteristic, complemented
168SD16×Dic59C2211yescharacteristic, complemented
169C4×D472C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic, complemented
172#16837476C2211yescharacteristic, complemented
173#16837475C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175C8×D236C2211yescharacteristic, complemented
176(C22⋊D59)⋊C8C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837458C2211yescharacteristic, complemented
179#16837429C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181C4⋊C8×D59C2211yescharacteristic, complemented
182#16837407C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837398C2211yescharacteristic, complemented
185#16837395C2211yescharacteristic, complemented
186#103×D59C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#540C2211yescharacteristic, complemented
189C59×#535C2211yescharacteristic, complemented
190C59×#496C2211yescharacteristic, complemented
191C59×#493C2211yescharacteristic, complemented
192C59×#490C2211yescharacteristic, complemented
193C59×#488C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#459C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#447C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745687—21no—
205C2×#11745687—21no—
206C2×#11745687C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×C22⋊D59—21no—
210C2×D4×D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59—21no—
213C2×D4×D59—21no—
214C2×D4×D59C2311yescharacteristic
215C2×D4×D59C2311yescharacteristic
216C2×D4×D59C2311yescharacteristic
217C2×D4×D59C2311yescharacteristic
218C22×C4×D59—21no—
219#14273752—42no—
220#14273751—42no—
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227SD16×D59—42no—
228C2×D472C2311yescharacteristic
229C2×D472C2311yescharacteristic
230C2×#11745669—42no—
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239D8×D59—42no—
240D8×D59—42no—
241C2×#11745664C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C22×C59⋊C8C2311yescharacteristic
244C2×C8×D59C2311yescharacteristic
245C2×C8×D59C2311yescharacteristic
246C2×C8×D59C2311yescharacteristic
247#14273727C2311yescharacteristic
248#14273726C2311yescharacteristic
249#14273723C2311yescharacteristic
250#14273723C2311yescharacteristic
251#14273723C2311yescharacteristic
252#14273722—21no—
253#14273722—21no—
254#14273722D411yescharacteristic
255#14273720—21no—
256#14273720—21no—
257#14273720D411yescharacteristic
258#14273718C2311yescharacteristic
259#14273717D411yescharacteristic
260#14273716C2311yescharacteristic
261#14273715C2311yescharacteristic
262#14273714—21no—
263#14273714—21no—
264#14273714—21no—
265#14273714—21no—
266#14273714C2311yescharacteristic
267#14273714C2311yescharacteristic
268#14273713—21no—
269#14273713—21no—
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273713D411yescharacteristic
277#14273712—21no—
278#14273712D411yescharacteristic
279#14273711—21no—
280#14273711—21no—
281#14273710—21no—
282#14273710—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709D411yescharacteristic
287#14273708—21no—
288#14273708—21no—
289#14273708—21no—
290#14273708—21no—
291#14273707—21no—
292#14273706—21no—
293#14273706C2311yescharacteristic
294#14273705—21no—
295#14273705—21no—
296#14273705—21no—
297#14273705D411yescharacteristic
298#14273704—21no—
299#14273704—21no—
300#14273703C2311yescharacteristic
301#14273702—21no—
302#14273702C2311yescharacteristic
303#14273702C2311yescharacteristic
304#14273701—21no—
305#14273701C2311yescharacteristic
306#14273700—21no—
307#14273700—21no—
308#14273700—21no—
309#14273700—21no—
310#14273700—21no—
311#14273700D411yescharacteristic
312#14273699—21no—
313#14273699—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273698—21no—
321#14273698—21no—
322#14273698—21no—
323#14273698—21no—
324#14273698—21no—
325#14273698—21no—
326#14273698C2311yescharacteristic
327#14273698C2311yescharacteristic
328#14273698C2311yescharacteristic
329#14273698C2311yescharacteristic
330#14273698C2311yescharacteristic
331#14273697—21no—
332#14273697—21no—
333#14273696—21no—
334#14273696—21no—
335#14273695—21no—
336#14273695—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695—21no—
345Q8×Dic59C2311yescharacteristic
346C4×Dic118C2311yescharacteristic
347C4×Dic118C2311yescharacteristic
348C4×D236C2311yescharacteristic
349C4×D236C2311yescharacteristic
350C4×D236C2311yescharacteristic
351C4×D236C2311yescharacteristic
352C4×D236C2311yescharacteristic
353C4×D236C2311yescharacteristic
354D4×Dic59—21no—
355D4×Dic59—21no—
356D4×Dic59C2311yescharacteristic
357D4×Dic59C2311yescharacteristic
358D4×Dic59C2311yescharacteristic
359D4×Dic59C2311yescharacteristic
360D4×Dic59C2311yescharacteristic
361#14273689—21no—
362#14273689—21no—
363#14273689—21no—
364#14273689C2311yescharacteristic
365#14273689C2311yescharacteristic
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59C2311yescharacteristic
371C4×C22⋊D59C2311yescharacteristic
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377#14273686C2311yescharacteristic
378#14273685C2311yescharacteristic
379#14273684C2311yescharacteristic
380#14273683—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59C2311yescharacteristic
383C2×C22⋊Dic59—21no—
384C2×(C2×D59)⋊C4—21no—
385C2×(C2×D59)⋊C4—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C42×D59C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404C4⋊(C59⋊C8)C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439#14273637C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C22×D4×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C2×D8×C59C2311yescharacteristic
447C2×D8×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451#127×C59C2311yescharacteristic
452#127×C59C2311yescharacteristic
453#127×C59C2311yescharacteristic
454#125×C59C2311yescharacteristic
455#124×C59C2311yescharacteristic
456#124×C59C2311yescharacteristic
457#123×C59—21no—
458#123×C59—21no—
459#121×C59—21no—
460#121×C59—21no—
461#121×C59—21no—
462#121×C59—21no—
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465#120×C59—21no—
466#120×C59—21no—
467C4×D4×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—
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490#41×C59—41no—
491#41×C59—41no—
492C2×Q8×C59C2411yescharacteristic
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—41no—
504C2×D4×C59—41no—
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59C2411yescharacteristic
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—82no—
532C2×C22⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59—21no—
540Q8×D59—41no—
541Q8×D59—41no—
542#11745687—41no—
543#11745687—41no—
544#11745687—82no—
545#11745687—82no—
546D4×D59—22no—
547D4×D59—22no—
548D4×D59—41no—
549D4×D59—41no—
550D4×D59—41no—
551D4×D59—41no—
552D4×D59—41no—
553D4×D59—41no—
554D4×D59—82no—
555D4×D59—82no—
556D4×D59—82no—
557D4×D59—82no—
558#11745685—82no—
559C2×D236—22no—
560C2×D236—21no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236—41no—
564C2×D236C2×D411yescharacteristic
565C2×D236C2411yescharacteristic
566C2×D236C2411yescharacteristic
567C2×D236C2411yescharacteristic
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—82no—
578C2×C4×D59C2×D411yescharacteristic
579C2×C4×D59C2×D411yescharacteristic
580C2×C4×D59C2411yescharacteristic
581C2×C4×D59C2411yescharacteristic
582C2×Dic118—21no—
583C2×Dic118—21no—
584C2×Dic118—21no—
585C2×Dic118C2×D411yescharacteristic
586C2×Dic118C2411yescharacteristic
587SD16×C59—41no—
588SD16×C59—41no—
589D8×C59—41no—
590D8×C59—41no—
591D8×C59—41no—
592D8×C59—41no—
593D8×C59—41no—
594D8×C59—41no—
595C2×C8×C59C2411yescharacteristic
596C2×C8×C59C2411yescharacteristic
597C2×C8×C59C2411yescharacteristic
598C2×C8×C59C2411yescharacteristic
599C4⋊C4×C59—21no—
600C4⋊C4×C59—21no—
601C4⋊C4×C59C2×D411yescharacteristic
602C4⋊C4×C59C2×D411yescharacteristic
603C4⋊C4×C59C2411yescharacteristic
604C4⋊C4×C59C2411yescharacteristic
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59—21no—
610C22⋊C4×C59—21no—
611C22⋊C4×C59—21no—
612C22⋊C4×C59—21no—
613C22⋊C4×C59C2×D411yescharacteristic
614C22⋊C4×C59C2×D411yescharacteristic
615C42×C59C2411yescharacteristic
616C42×C59C2411yescharacteristic
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628C22⋊Dic59—21no—
629C22⋊Dic59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59C2×D411yescharacteristic
634C22⋊Dic59C2×D411yescharacteristic
635#11745671—22no—
636#11745671—41no—
637#11745670—41no—
638#11745670—41no—
639#11745669—22no—
640#11745669—22no—
641#11745669—22no—
642#11745669—41no—
643#11745669—41no—
644#11745669—41no—
645#11745669—41no—
646#11745669—41no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4C2×D411yescharacteristic
664(C2×D59)⋊C4C2×D411yescharacteristic
665(C2×D59)⋊C4C2×D411yescharacteristic
666(C2×D59)⋊C4C2×D411yescharacteristic
667(C2×D59)⋊C4C2×D411yescharacteristic
668(C2×D59)⋊C4C2×D411yescharacteristic
669C4⋊Dic59—21no—
670C4⋊Dic59—21no—
671C4⋊Dic59—21no—
672C4⋊Dic59C2×D411yescharacteristic
673C4⋊Dic59C2×D411yescharacteristic
674C4⋊Dic59C2411yescharacteristic
675C4⋊Dic59C2411yescharacteristic
676C4⋊Dic59C2411yescharacteristic
677C4⋊Dic59C2411yescharacteristic
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4C2×D411yescharacteristic
685Dic59⋊C4C2×D411yescharacteristic
686Dic59⋊C4C2×D411yescharacteristic
687Dic59⋊C4C2×D411yescharacteristic
688Dic59⋊C4C2×D411yescharacteristic
689Dic59⋊C4C2×D411yescharacteristic
690C4×Dic59—21no—
691C4×Dic59—21no—
692C4×Dic59—21no—
693C4×Dic59—21no—
694C4×Dic59C2×D411yescharacteristic
695C4×Dic59C2×D411yescharacteristic
696C4×Dic59C2411yescharacteristic
697C4×Dic59C2411yescharacteristic
698#11745664—41no—
699C2×C59⋊C8—41no—
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704D472—22no—
705D472—41no—
706#11745660—22no—
707#11745660—41no—
708#11745659—41no—
709C8×D59—41no—
710C8×D59—41no—
711C8×D59—41no—
712C23×C59—21no—
713C23×C59—21no—
714C23×C59—21no—
715C23×C59—21no—
716C23×C59—21no—
717C23×C59—81no—
718C23×C59—81no—
719C23×C59—81no—
720C23×C59C22×D411yescharacteristic
721C22×D59—21no—
722C22×D59—21no—
723C22×D59—21no—
724C22×D59—42no—
725C22×D59—42no—
726C22×D59—42no—
727C22×D59—42no—
728C22×D59—42no—
729C22×D59—81no—
730C22×D59—81no—
731C22×D59—81no—
732C22×D59—81no—
733C22×D59—81no—
734C22×D59—81no—
735C22×D59—81no—
736C22×D59—81no—
737C22×D59—81no—
738C22×D59—81no—
739C22×D59C22×D411yescharacteristic
740C22×D59C22×D411yescharacteristic
741Q8×C59—21no—
742Q8×C59—21no—
743D4×C59—21no—
744D4×C59—21no—
745D4×C59—21no—
746D4×C59—21no—
747D4×C59—21no—
748D4×C59—21no—
749D4×C59—21no—
750D4×C59—21no—
751D4×C59—21no—
752D4×C59—21no—
753D4×C59—81no—
754D4×C59—81no—
755D4×C59—81no—
756D4×C59—81no—
757D4×C59—81no—
758D4×C59—81no—
759D4×C59—81no—
760D4×C59—81no—
761D4×C59—81no—
762D4×C59—81no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—81no—
769C2×C4×C59—81no—
770C2×C4×C59—81no—
771C2×C4×C59C22×D411yescharacteristic
772C2×C4×C59C22×D411yescharacteristic
773C2×C4×C59C22×D411yescharacteristic
774C2×C4×C59C22×D411yescharacteristic
775C2×C4×C59C22×D411yescharacteristic
776C2×C4×C59C2511yescharacteristic
777C22⋊D59—22no—
778C22⋊D59—41no—
779C22⋊D59—42no—
780C22⋊D59—42no—
781C22⋊D59—42no—
782C22⋊D59—42no—
783C22⋊D59—42no—
784C22⋊D59—42no—
785C22⋊D59—81no—
786C22⋊D59—81no—
787C22⋊D59—81no—
788C22⋊D59—81no—
789C22⋊D59—81no—
790C22⋊D59—81no—
791C22⋊D59—81no—
792C22⋊D59—81no—
793C22⋊D59—81no—
794C22⋊D59—81no—
795C22⋊D59—81no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—42no—
802C2×Dic59—81no—
803C2×Dic59—81no—
804C2×Dic59—81no—
805C2×Dic59—81no—
806C2×Dic59—81no—
807C2×Dic59C22×D411yescharacteristic
808C2×Dic59C22×D411yescharacteristic
809C2×Dic59C22×D411yescharacteristic
810C2×Dic59C22×D411yescharacteristic
811C2×Dic59C22×D411yescharacteristic
812C2×Dic59C22×D411yescharacteristic
813D236—22no—
814D236—21no—
815D236—21no—
816D236—21no—
817D236—21no—
818D236—21no—
819D236—42no—
820D236—42no—
821D236—81no—
822D236H(5,𝔽2)12yes—
823C4×D59—22no—
824C4×D59—21no—
825C4×D59—21no—
826C4×D59—21no—
827C4×D59—21no—
828C4×D59—41no—
829C4×D59—42no—
830C4×D59—81no—
831C4×D59—81no—
832C4×D59—81no—
833C4×D59—81no—
834C4×D59—81no—
835C4×D59—81no—
836C4×D59—81no—
837C4×D59—81no—
838Dic118—21no—
839Dic118—21no—
840Dic118—41no—
841Dic118—81no—
842Dic118—81no—
843Dic118—81no—
844C8×C59—21no—
845C8×C59—21no—
846C8×C59—21no—
847C8×C59—21no—
848C59⋊C8—21no—
849C59⋊C8—21no—
850C59⋊C8—21no—
851C59⋊C8—21no—
852#62015—591nomaximal, Sylow
853C22×C59—21no—
854C22×C59—21no—
855C22×C59—21no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59—41no—
866C22×C59—41no—
867C22×C59—41no—
868C22×C59—41no—
869C22×C59—41no—
870C22×C59—41no—
871C22×C59—162no—
872C22×C59C23×D411yescharacteristic
873C2×D59—21no—
874C2×D59—21no—
875C2×D59—21no—
876C2×D59—21no—
877C2×D59—22no—
878C2×D59—21no—
879C2×D59—41no—
880C2×D59—41no—
881C2×D59—41no—
882C2×D59—41no—
883C2×D59—41no—
884C2×D59—41no—
885C2×D59—41no—
886C2×D59—41no—
887C2×D59—84no—
888C2×D59—162no—
889C2×D59—162no—
890C2×D59—162no—
891C2×D59—162no—
892C2×D59#57612yes—
893C4×C59—21no—
894C4×C59—21no—
895C4×C59—21no—
896C4×C59—21no—
897C4×C59—21no—
898C4×C59—41no—
899C4×C59—41no—
900C4×C59—41no—
901C4×C59C2×H(5,𝔽2)11yescharacteristic
902C4×C59#58511yescharacteristic
903Dic59—21no—
904Dic59—21no—
905Dic59—21no—
906Dic59—21no—
907Dic59—21no—
908Dic59—21no—
909Dic59—41no—
910Dic59—41no—
911Dic59—41no—
912Dic59—41no—
913Dic59—41no—
914#3558—591no—
915#3519—591no—
916#3399—591no—
917#3399—591no—
918#3370—591no—
919#3370—591no—
920#3319—591no—
921#3319—591no—
922#3318—591no—
923#3318—591no—
924#3301—591no—
925#3301—591no—
926D4×D8—591no—
927D4×D8—591no—
928#3265—591no—
929#3265—591no—
930#3264—591no—
931#3264—591no—
932#3257—591no—
933#3257—591no—
934#3245—591no—
935#3220—591no—
936#3220D5911yescharacteristic, complemented
937#3213—591no—
938#3118—591no—
939#3118—591no—
940#3109—591no—
941#3041—591no—
942#3041—591no—
943C2×#463—591no—
944#2992—591no—
945C2×C59—41no—
946C2×C59—81no—
947C2×C59—81no—
948C2×C59—81no—
949C2×C59—81no—
950C2×C59—81no—
951C2×C59#348811yescharacteristic
952C2×C59C2×#57611yescharacteristic
953C2×C59#358511yescharacteristic
954D59—22no—
955D59—41no—
956D59—42no—
957D59—81no—
958D59—81no—
959C2×AGL(1,ℤ/8)—591no—
960C2×AGL(1,ℤ/8)—591no—
961C22×SD16—591no—
962C22×D8—591no—
963C22×D8—591no—
964C22×D8—591no—
965#562—1181no—
966H(3,𝔽4)—1181no—
967#559—591no—
968#559—591no—
969#555—591no—
970#554—591no—
971#553—591no—
972#553—591no—
973#553—1181no—
974#550—591no—
975#548—591no—
976#548—591no—
977#546—591no—
978#546—591no—
979#546—1181no—
980#546—1181no—
981#546—1181no—
982#546—1181no—
983#546—1181no—
984D42—591no—
985D42—591no—
986D42—591no—
987D42—591no—
988D42—591no—
989#542—591no—
990#542—591no—
991#540—591no—
992#540C2×D5911yescharacteristic, complemented
993#538—1181no—
994#538—1181no—
995#538—1181no—
996#538—1181no—
997#538—1181no—
998#535—591no—
999#535C2×D5911yescharacteristic, complemented
1000#534—1181no—
1001#532—591no—
1002#532—591no—
1003#529—591no—
1004C2×#124—591no—
1005#525—1181no—
1006C2×#121—1181no—
1007#518—591no—
1008#518—591no—
1009C2×C4×D4—591no—
1010#496—591no—
1011#496—591no—
1012#496—591no—
1013#496C2×D5911yescharacteristic, complemented
1014#493—591no—
1015#493C2×D5911yescharacteristic, complemented
1016#490—591no—
1017#490C2×D5911yescharacteristic, complemented
1018#489—591no—
1019#489—591no—
1020#488—591no—
1021#488C2×D5911yescharacteristic, complemented
1022#485—591no—
1023#485—591no—
1024#482—591no—
1025#482—591no—
1026#481—591no—
1027#481—591no—
1028#479—591no—
1029#479—591no—
1030#478—591no—
1031#478—591no—
1032#476—591no—
1033#476—591no—
1034#474—591no—
1035#474—591no—
1036#474—591no—
1037#474—591no—
1038#469—591no—
1039#469—591no—
1040#468—591no—
1041#468—591no—
1042#466—591no—
1043#466—591no—
1044#466—591no—
1045#466—591no—
1046#466—591no—
1047#466—591no—
1048#465—591no—
1049#465—591no—
1050#463—591no—
1051#463—591no—
1052#463—591no—
1053#463—591no—
1054#463—591no—
1055#463—591no—
1056#463—591no—
1057#463—591no—
1058#463—591no—
1059#463—591no—
1060#463—591no—
1061#463—591no—
1062#463—591no—
1063#463—591no—
1064#463C2×D5911yescharacteristic, complemented
1065#463C2×D5911yescharacteristic, complemented
1066#460—591no—
1067#460—591no—
1068#459—591no—
1069#459—591no—
1070#459—591no—
1071#459—591no—
1072#459—591no—
1073#459—591no—
1074#459—591no—
1075#459—591no—
1076#459—591no—
1077#459—591no—
1078#459C2×D5911yescharacteristic, complemented
1079#459C2×D5911yescharacteristic, complemented
1080#450—591no—
1081#450—591no—
1082#449—591no—
1083#449—591no—
1084#449C2×D5911yescharacteristic, complemented
1085#449C2×D5911yescharacteristic, complemented
1086#448—591no—
1087#448—591no—
1088#447—591no—
1089#447—591no—
1090#447—591no—
1091#447—591no—
1092#447—591no—
1093#447—591no—
1094#447—591no—
1095#447—591no—
1096#447C2×D5911yescharacteristic, complemented
1097#447C2×D5911yescharacteristic, complemented
1098#446—591no—
1099#446—591no—
1100#442—591no—
1101#442—591no—
1102#442—591no—
1103#442—591no—
1104#442—591no—
1105#442—591no—
1106#440—591no—
1107#440—591no—
1108C4×SD16—591no—
1109C4×SD16—591no—
1110C4×D8—591no—
1111C4×D8—591no—
1112#435—591no—
1113#435—591no—
1114#435—591no—
1115#435—591no—
1116C8×D4—591no—
1117C8×D4—591no—
1118#433—591no—
1119#433C2×D5911yescharacteristic, complemented
1120#432—591no—
1121#424—591no—
1122#424—591no—
1123C2×C4⋊C8—591no—
1124#418—591no—
1125#418—591no—
1126#416—591no—
1127#416—591no—
1128C2×#103—591no—
1129C2×#102—591no—
1130C59#6201511yescharacteristic, complemented, Sylow
1131C2×#41—591no—
1132C2×#41—1181no—
1133C2×#41—1181no—
1134C2×#41—1181no—
1135C2×#41C22×D5911yescharacteristic
1136C22×Q8—591no—
1137C22×D4—591no—
1138C22×D4—591no—
1139C22×D4—591no—
1140C22×D4—591no—
1141C22×D4—591no—
1142C22×D4—1181no—
1143C22×D4—1181no—
1144C22×D4—1181no—
1145C22×D4—1181no—
1146C22×D4—1181no—
1147C22×D4C22×D5911yescharacteristic
1148C23×C4—1181no—
1149AGL(1,ℤ/8)—2362no—
1150AGL(1,ℤ/8)—2362no—
1151C2×SD16—591no—
1152C2×SD16—591no—
1153C2×SD16—591no—
1154C2×SD16—591no—
1155C2×SD16—591no—
1156C2×SD16—591no—
1157C2×SD16—2362no—
1158C2×SD16C22×D5911yescharacteristic
1159C2×SD16C22×D5911yescharacteristic
1160C2×D8—591no—
1161C2×D8—591no—
1162C2×D8—591no—
1163C2×D8—591no—
1164C2×D8—591no—
1165C2×D8—591no—
1166C2×D8—591no—
1167C2×D8—591no—
1168C2×D8—591no—
1169C2×D8—591no—
1170C2×D8—2362no—
1171C2×D8—2362no—
1172C2×D8—2362no—
1173C2×D8C22×D5911yescharacteristic
1174C2×D8C22×D5911yescharacteristic
1175C2×D8C22×D5911yescharacteristic
1176C2×D8C22×D5911yescharacteristic
1177C2×D8C22×D5911yescharacteristic
1178C2×D8C22×D5911yescharacteristic
1179C2×M16—591no—
1180C2×M16—591no—
1181C22×C8—591no—
1182C22×C8—591no—
1183C22×C8—591no—
1184C22×C8—591no—
1185C4⋊Q8—591no—
1186C4⋊Q8—591no—
1187#127—591no—
1188#127—591no—
1189#127—591no—
1190#127C22×D5911yescharacteristic
1191#127C22×D5911yescharacteristic
1192#127C22×D5911yescharacteristic
1193#126—591no—
1194#126—591no—
1195#126—1181no—
1196#126—1181no—
1197#126—1181no—
1198#126—1181no—
1199#125—591no—
1200#125—591no—
1201#125C22×D5911yescharacteristic
1202#124—591no—
1203#124—591no—
1204#124—591no—
1205#124—591no—
1206#124—591no—
1207#124—1181no—
1208#124—1181no—
1209#124—1181no—
1210#124—1181no—
1211#124—1181no—
1212#124—1181no—
1213#124—1181no—
1214#124—1181no—
1215#124—1181no—
1216#124—1181no—
1217#124—1181no—
1218#124—1181no—
1219#124C22×D5911yescharacteristic
1220#124C22×D5911yescharacteristic
1221#123—21no—
1222#123—21no—
1223#123—591no—
1224#123—591no—
1225#123—1181no—
1226#123—1181no—
1227#123—1181no—
1228#123—1181no—
1229#123—1181no—
1230#123—1181no—
1231#123—1181no—
1232#123—1181no—
1233#123—1181no—
1234#123—1181no—
1235#123—1181no—
1236#123—1181no—
1237C22⋊Q8—591no—
1238C22⋊Q8—591no—
1239C22⋊Q8—591no—
1240C22⋊Q8—1181no—
1241C22⋊Q8—1181no—
1242C22⋊Q8—1181no—
1243C22⋊Q8—1181no—
1244C22⋊Q8—1181no—
1245C22⋊Q8—1181no—
1246C22⋊Q8—1181no—
1247#121—21no—
1248#121—21no—
1249#121—21no—
1250#121—21no—
1251#121—591no—
1252#121—591no—
1253#121—591no—
1254#121—591no—
1255#121—591no—
1256#121—591no—
1257#121—591no—
1258#121—591no—
1259#121—591no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121—1181no—
1271#121—1181no—
1272#121—1181no—
1273#121—1181no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121—1181no—
1281#121C22×D5911yescharacteristic
1282#121C22×D5911yescharacteristic
1283#120—21no—
1284#120—21no—
1285#120—1181no—
1286#120—1181no—
1287#120—1181no—
1288#120—1181no—
1289#120—1181no—
1290#120—1181no—
1291#120—1181no—
1292#120—1181no—
1293#120—1181no—
1294#120—1181no—
1295#120—1181no—
1296#120—1181no—
1297#120—1181no—
1298#120—1181no—
1299C4×Q8—591no—
1300C4×Q8—591no—
1301C4×Q8—591no—
1302C4×D4—591no—
1303C4×D4—591no—
1304C4×D4—591no—
1305C4×D4—591no—
1306C4×D4—591no—
1307C4×D4—591no—
1308C4×D4—591no—
1309C4×D4—591no—
1310C4×D4—591no—
1311C4×D4—591no—
1312C4×D4—591no—
1313C4×D4—591no—
1314C4×D4—591no—
1315C4×D4—591no—
1316C4×D4—591no—
1317C4×D4—1181no—
1318C4×D4—1181no—
1319C4×D4—1181no—
1320C4×D4—1181no—
1321C4×D4—1181no—
1322C4×D4—1181no—
1323C4×D4—1181no—
1324C4×D4—1181no—
1325C4×D4—1181no—
1326C4×D4—1181no—
1327C4×D4—1181no—
1328C4×D4—1181no—
1329C4×D4—1181no—
1330C4×D4—1181no—
1331C4×D4C22×D5911yescharacteristic
1332C4×D4C22×D5911yescharacteristic
1333#117—591no—
1334#117—591no—
1335#117—591no—
1336#117—1181no—
1337#117C22×D5911yescharacteristic
1338C2×C4⋊C4—591no—
1339C2×C4⋊C4—1181no—
1340C2×C22⋊C4—1181no—
1341C2×C22⋊C4—1181no—
1342C2×C22⋊C4—1181no—
1343C2×C22⋊C4—1181no—
1344C2×C22⋊C4—1181no—
1345C2×C22⋊C4—1181no—
1346C2×C22⋊C4—1181no—
1347C2×C22⋊C4—1181no—
1348C2×C22⋊C4—1181no—
1349C2×C42—591no—
1350#107—591no—
1351#107—591no—
1352#107—591no—
1353#107—591no—
1354#106—591no—
1355#106—591no—
1356#106—591no—
1357#106—591no—
1358C4⋊C8—591no—
1359C4⋊C8—591no—
1360C4⋊C8—591no—
1361C4⋊C8—591no—
1362C4⋊C8—591no—
1363C4⋊C8—591no—
1364C4⋊C8—591no—
1365C4⋊C8—591no—
1366C4⋊C8C22×D5911yescharacteristic
1367C4⋊C8C22×D5911yescharacteristic
1368#103—591no—
1369#103—591no—
1370#103—591no—
1371#103—591no—
1372#103—591no—
1373#103—591no—
1374#103C22×D5911yescharacteristic
1375#103C22×D5911yescharacteristic
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384#102—591no—
1385#102—591no—
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102—591no—
1391#102—591no—
1392#102—591no—
1393#102—591no—
1394#102C22×D5911yescharacteristic
1395#102C22×D5911yescharacteristic
1396#102C22×D5911yescharacteristic
1397#102C22×D5911yescharacteristic
1398#102C22×D5911yescharacteristic
1399#102C22×D5911yescharacteristic
1400C22⋊C8—591no—
1401C22⋊C8—591no—
1402C22⋊C8—591no—
1403C22⋊C8—591no—
1404C22⋊C8C22×D5911yescharacteristic
1405C22⋊C8C22×D5911yescharacteristic
1406#97—591no—
1407#97—591no—
1408#97—591no—
1409#97C22×D5911yescharacteristic
1410C4×C8—591no—
1411C4×C8C22×D5911yescharacteristic
1412C24—21no—
1413C24—1181no—
1414C24—1181no—
1415C24—1181no—
1416C24—1181no—
1417C24—1181no—
1418#41—41no—
1419#41—41no—
1420#41—4722no—
1421#41—4722no—
1422#41—4722no—
1423#41—2361no—
1424#41—2361no—
1425C2×Q8—591no—
1426C2×Q8—591no—
1427C2×Q8—1181no—
1428C2×Q8—1181no—
1429C2×Q8—1181no—
1430C2×Q8—2361no—
1431C2×Q8—2361no—
1432C2×Q8C23×D5911yescharacteristic
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—21no—
1442C2×D4—21no—
1443C2×D4—41no—
1444C2×D4—41no—
1445C2×D4—591no—
1446C2×D4—591no—
1447C2×D4—591no—
1448C2×D4—591no—
1449C2×D4—591no—
1450C2×D4—591no—
1451C2×D4—1182no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—1181no—
1458C2×D4—1181no—
1459C2×D4—1181no—
1460C2×D4—1181no—
1461C2×D4—1181no—
1462C2×D4—1181no—
1463C2×D4—1181no—
1464C2×D4—1182no—
1465C2×D4—1182no—
1466C2×D4—1181no—
1467C2×D4—1181no—
1468C2×D4—1181no—
1469C2×D4—1181no—
1470C2×D4—1181no—
1471C2×D4—1181no—
1472C2×D4—1181no—
1473C2×D4—1181no—
1474C2×D4—4722no—
1475C2×D4—4722no—
1476C2×D4—4722no—
1477C2×D4—4722no—
1478C2×D4—4722no—
1479C2×D4—2361no—
1480C2×D4—2361no—
1481C2×D4—2361no—
1482C2×D4—2361no—
1483C2×D4—2361no—
1484C2×D4—2361no—
1485C2×D4—2361no—
1486C2×D4C23×D5911yescharacteristic
1487C2×D4C23×D5911yescharacteristic
1488C2×D4C23×D5911yescharacteristic
1489C2×D4C23×D5911yescharacteristic
1490C2×D4C23×D5911yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—591no—
1495C22×C4—591no—
1496C22×C4—591no—
1497C22×C4—591no—
1498C22×C4—1181no—
1499C22×C4—1181no—
1500C22×C4—1181no—
1501C22×C4—1181no—
1502C22×C4—1181no—
1503C22×C4—1181no—
1504C22×C4—1181no—
1505C22×C4—1181no—
1506C22×C4—1181no—
1507C22×C4—1181no—
1508C22×C4—1181no—
1509C22×C4—1181no—
1510C22×C4—1181no—
1511C22×C4—1181no—
1512C22×C4—1181no—
1513C22×C4—4722no—
1514C22×C4C23×D5911yescharacteristic
1515SD16—41no—
1516SD16—41no—
1517SD16—1182no—
1518SD16—1182no—
1519SD16—2361no—
1520SD16—2361no—
1521SD16—2361no—
1522SD16—2361no—
1523D8—41no—
1524D8—41no—
1525D8—41no—
1526D8—41no—
1527D8—41no—
1528D8—41no—
1529D8—1182no—
1530D8—1182no—
1531D8—1182no—
1532D8—1182no—
1533D8—2361no—
1534D8—2361no—
1535D8—2361no—
1536D8—2361no—
1537D8—2361no—
1538D8—2361no—
1539M16—2361no—
1540M16—2361no—
1541C2×C8—591no—
1542C2×C8—591no—
1543C2×C8—591no—
1544C2×C8—591no—
1545C2×C8—2361no—
1546C2×C8—2361no—
1547C2×C8—2361no—
1548C2×C8—2361no—
1549C2×C8C23×D5911yescharacteristic
1550C2×C8C23×D5911yescharacteristic
1551C2×C8C23×D5911yescharacteristic
1552C2×C8C23×D5911yescharacteristic
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—591no—
1556C4⋊C4—591no—
1557C4⋊C4—591no—
1558C4⋊C4—591no—
1559C4⋊C4—591no—
1560C4⋊C4—591no—
1561C4⋊C4—591no—
1562C4⋊C4—591no—
1563C4⋊C4—591no—
1564C4⋊C4—591no—
1565C4⋊C4—591no—
1566C4⋊C4—591no—
1567C4⋊C4—1181no—
1568C4⋊C4—1181no—
1569C4⋊C4—1181no—
1570C4⋊C4—1181no—
1571C4⋊C4—1181no—
1572C4⋊C4—1181no—
1573C4⋊C4—1181no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4D4×D5911yescharacteristic
1577C4⋊C4D4×D5911yescharacteristic
1578C4⋊C4C23×D5911yescharacteristic
1579C4⋊C4C23×D5911yescharacteristic
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—21no—
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—591no—
1589C22⋊C4—591no—
1590C22⋊C4—591no—
1591C22⋊C4—591no—
1592C22⋊C4—591no—
1593C22⋊C4—591no—
1594C22⋊C4—591no—
1595C22⋊C4—591no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C22⋊C4—1181no—
1610C22⋊C4—1181no—
1611C22⋊C4—1181no—
1612C22⋊C4—1181no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4—1181no—
1617C22⋊C4—1181no—
1618C22⋊C4—1181no—
1619C22⋊C4—1181no—
1620C22⋊C4—1181no—
1621C22⋊C4—1181no—
1622C22⋊C4—1181no—
1623C22⋊C4—1181no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4D4×D5911yescharacteristic
1629C22⋊C4D4×D5911yescharacteristic
1630C42—591no—
1631C42—591no—
1632C42—591no—
1633C42—591no—
1634C42—1181no—
1635C42—1181no—
1636C42—1181no—
1637C42—1181no—
1638C42C23×D5911yescharacteristic
1639C42C23×D5911yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—81no—
1646C23—81no—
1647C23—81no—
1648C23—591no—
1649C23—591no—
1650C23—1181no—
1651C23—1181no—
1652C23—1181no—
1653C23—4721no—
1654C23—4721no—
1655C23—4721no—
1656C23—4721no—
1657C23—4721no—
1658C23—4721no—
1659C23—4721no—
1660C23—4721no—
1661C23—4721no—
1662C23—4721no—
1663C23—2362no—
1664C23—2362no—
1665C23—2362no—
1666C23—2362no—
1667C23—2362no—
1668C23C2×D4×D5911yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—1181no—
1672Q8—1181no—
1673Q8—4721no—
1674Q8—4721no—
1675Q8—4721no—
1676Q8—2361no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—21no—
1685D4—21no—
1686D4—21no—
1687D4—81no—
1688D4—81no—
1689D4—81no—
1690D4—81no—
1691D4—81no—
1692D4—81no—
1693D4—81no—
1694D4—81no—
1695D4—81no—
1696D4—81no—
1697D4—592no—
1698D4—1182no—
1699D4—1182no—
1700D4—1181no—
1701D4—1181no—
1702D4—1181no—
1703D4—1181no—
1704D4—1181no—
1705D4—4721no—
1706D4—4721no—
1707D4—4721no—
1708D4—4721no—
1709D4—4721no—
1710D4—4721no—
1711D4—4721no—
1712D4—4721no—
1713D4—4721no—
1714D4—4721no—
1715D4—4721no—
1716D4—4721no—
1717D4—2362no—
1718D4—2362no—
1719D4—2361no—
1720D4—2362no—
1721D4—2362no—
1722D4—2362no—
1723D4—2362no—
1724D4—2362no—
1725D4—2362no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—81no—
1732C2×C4—81no—
1733C2×C4—81no—
1734C2×C4—591no—
1735C2×C4—591no—
1736C2×C4—591no—
1737C2×C4—591no—
1738C2×C4—591no—
1739C2×C4—591no—
1740C2×C4—1182no—
1741C2×C4—1181no—
1742C2×C4—1181no—
1743C2×C4—1181no—
1744C2×C4—1181no—
1745C2×C4—1181no—
1746C2×C4—1181no—
1747C2×C4—1181no—
1748C2×C4—1181no—
1749C2×C4—1181no—
1750C2×C4—4721no—
1751C2×C4—4721no—
1752C2×C4—4721no—
1753C2×C4—4721no—
1754C2×C4—4721no—
1755C2×C4—4721no—
1756C2×C4—4721no—
1757C2×C4—4721no—
1758C2×C4—4721no—
1759C2×C4—4721no—
1760C2×C4—4721no—
1761C2×C4—4721no—
1762C2×C4—4721no—
1763C2×C4—2361no—
1764C2×C4—2362no—
1765C2×C4—2362no—
1766C2×C4C2×D4×D5911yescharacteristic
1767C2×C4C2×D4×D5911yescharacteristic
1768C2×C4C2×D4×D5911yescharacteristic
1769C2×C4C2×D4×D5911yescharacteristic
1770C2×C4C2×D4×D5911yescharacteristic
1771C2×C4C24×D5911yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—1181no—
1777C8—1181no—
1778C8—1181no—
1779C8—1181no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—162no—
1799C22—592no—
1800C22—1181no—
1801C22—1181no—
1802C22—1181no—
1803C22—1182no—
1804C22—1181no—
1805C22—1181no—
1806C22—9442no—
1807C22—9442no—
1808C22—9442no—
1809C22—9442no—
1810C22—4724no—
1811C22—2361no—
1812C22—2361no—
1813C22—2361no—
1814C22—2361no—
1815C22—2361no—
1816C22—2361no—
1817C22—2361no—
1818C22—2361no—
1819C22C22×D4×D5911yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—1181no—
1829C4—1181no—
1830C4—1181no—
1831C4—1181no—
1832C4—1181no—
1833C4—1181no—
1834C4—2361no—
1835C4—2361no—
1836C4—2361no—
1837C4—2361no—
1838C4—2361no—
1839C4H(5,𝔽2)×D5911yescharacteristic
1840C4#1683823711yescharacteristic
1841C2—41no—
1842C2—81no—
1843C2—81no—
1844C2—81no—
1845C2—81no—
1846C2—81no—
1847C2—1182no—
1848C2—4721no—
1849C2—4721no—
1850C2—2361no—
1851C2—2362no—
1852C2#2143776311yescharacteristic
1853C2#576×D5911yescharacteristic
1854C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3220C2
socleC22×C59C23×D4
hypercenter#3220D59
hypocenterC59#62015
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3220

Complements

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

NH ≅ G/Ntype
1. #21438614C2semidirect
2. #21438126C2semidirect
3. #21437143C2semidirect
4. #21437135C2semidirect
5. #21436855C2semidirect
6. #21436844C2semidirect
7. #21436256C2semidirect
8. #21436245C2semidirect
9. #21436236C2semidirect
10. #21436230C2semidirect
11. #21435997C2semidirect
12. #21435991C2semidirect
13. #21435771C2semidirect
14. #21435766C2semidirect
15. #21435594C2semidirect
16. #21435590C2semidirect
17. #21435579C2semidirect
18. #21435569C2semidirect
19. #21435504C2semidirect
20. #21435501C2semidirect
21. #21435404C2semidirect
22. #21435145C2semidirect
23. #21435081C2semidirect
24. #21434282C2semidirect
25. #21434279C2semidirect
26. #21434186C2semidirect
27. #21433595C2semidirect
28. #21433594C2semidirect
29. #463×D59C2semidirect
30. #21433230C2semidirect
31. C59×#3220C2semidirect
32. C2×#14273752C22semidirect
33. C2×#14273751C22semidirect
34. C2×SD16×D59C22semidirect
35. C22×#11745669C22semidirect
37. C2×D8×D59C22semidirect
40. #16838138C22semidirect
41. #16838134C22semidirect
42. #16838116C22semidirect
43. #16838108C22semidirect
44. #16838105C22semidirect
45. #16838099C22semidirect
47. #16838072C22semidirect
48. #16838060C22semidirect
49. #16838059C22semidirect
51. #16838046C22semidirect
55. #16838040C22semidirect
57. #16838037C22semidirect
58. #16838037C22semidirect
59. #16838036C22semidirect
60. #16838036C22semidirect
61. D4×C22⋊D59C22semidirect
62. #16838023C22semidirect
63. #16838021C22semidirect
64. #16838003C22semidirect
70. #16837965C22semidirect
72. #16837950C22semidirect
73. #16837949C22semidirect
75. #124×D59C22semidirect
78. #16837876C22semidirect
79. #16837874C22semidirect
80. C4×D4×D59C22semidirect
81. #16837790C22semidirect
82. #16837790C22semidirect
83. #16837788C22semidirect
84. #16837777C22semidirect
85. #16837765C22semidirect
86. #16837763C22semidirect
87. #16837760C22semidirect
88. #16837755C22semidirect
89. #16837744C22semidirect
90. #16837741C22semidirect
91. #16837727C22semidirect
92. #16837725C22semidirect
93. #16837719C22semidirect
94. #16837719C22semidirect
95. #16837711C22semidirect
96. #16837706C22semidirect
97. #16837700C22semidirect
98. #16837699C22semidirect
99. #16837693C22semidirect
100. #16837692C22semidirect
101. #16837683C22semidirect
102. #16837682C22semidirect
103. #16837680C22semidirect
104. #16837680C22semidirect
105. #16837654C22semidirect
106. #16837653C22semidirect
107. #16837646C22semidirect
108. #16837645C22semidirect
109. #16837637C22semidirect
110. #16837637C22semidirect
111. #16837636C22semidirect
112. #16837635C22semidirect
113. #16837635C22semidirect
114. #16837635C22semidirect
115. #16837634C22semidirect
116. #16837629C22semidirect
117. #16837620C22semidirect
118. #16837619C22semidirect
119. #16837618C22semidirect
120. #16837618C22semidirect
121. #16837617C22semidirect
122. #16837617C22semidirect
123. #16837616C22semidirect
124. #16837616C22semidirect
125. #16837615C22semidirect
126. #16837615C22semidirect
127. #16837614C22semidirect
128. #16837614C22semidirect
129. #16837614C22semidirect
130. #16837614C22semidirect
131. #16837600C22semidirect
132. #16837599C22semidirect
134. #16837595C22semidirect
135. #16837595C22semidirect
136. #16837595C22semidirect
137. #16837595C22semidirect
139. #16837594C22semidirect
140. #16837594C22semidirect
141. #16837594C22semidirect
142. #16837594C22semidirect
143. #16837555C22semidirect
144. #16837551C22semidirect
145. #16837548C22semidirect
146. #16837544C22semidirect
147. #16837542C22semidirect
148. #16837539C22semidirect
150. #16837537C22semidirect
151. #16837537C22semidirect
153. #16837534C22semidirect
154. #16837534C22semidirect
155. #16837534C22semidirect
156. #16837534C22semidirect
157. #16837532C22semidirect
158. #16837530C22semidirect
159. #16837515C22semidirect
160. #16837514C22semidirect
161. #16837514C22semidirect
162. #16837514C22semidirect
163. #16837511C22semidirect
164. #16837511C22semidirect
165. #16837505C22semidirect
166. #16837504C22semidirect
167. C4×#11745660C22semidirect
168. SD16×Dic59C22semidirect
169. C4×D472C22semidirect
170. #16837482C22semidirect
171. #16837476C22semidirect
172. #16837476C22semidirect
173. #16837475C22semidirect
174. #16837470C22semidirect
175. C8×D236C22semidirect
176. (C22⋊D59)⋊C8C22semidirect
177. #16837462C22semidirect
178. #16837458C22semidirect
179. #16837429C22semidirect
180. #16837427C22semidirect
181. C4⋊C8×D59C22semidirect
182. #16837407C22semidirect
183. #16837405C22semidirect
184. #16837398C22semidirect
185. #16837395C22semidirect
186. #103×D59C22semidirect
187. #102×D59C22semidirect
188. C59×#540C22semidirect
189. C59×#535C22semidirect
190. C59×#496C22semidirect
191. C59×#493C22semidirect
192. C59×#490C22semidirect
193. C59×#488C22semidirect
194. C59×#463C22semidirect
195. C59×#463C22semidirect
196. C59×#459C22semidirect
197. C59×#459C22semidirect
198. C59×#449C22semidirect
199. C59×#449C22semidirect
200. C59×#447C22semidirect
201. C59×#447C22semidirect
202. C59×#433C22semidirect
936. #3220D59semidirect
992. #540C2×D59semidirect
999. #535C2×D59semidirect
1013. #496C2×D59semidirect
1015. #493C2×D59semidirect
1017. #490C2×D59semidirect
1021. #488C2×D59semidirect
1064. #463C2×D59semidirect
1065. #463C2×D59semidirect
1078. #459C2×D59semidirect
1079. #459C2×D59semidirect
1084. #449C2×D59semidirect
1085. #449C2×D59semidirect
1096. #447C2×D59semidirect
1097. #447C2×D59semidirect
1119. #433C2×D59semidirect
1130. C59#62015semidirect

Maximal subgroups

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

subgroupindex
#214386142
#214381262
#214371432
#214371352
#214368552
#214368442
#214362562
#214362452
#214362362
#214362302
#214359972
#214359912
#214357712
#214357662
#214355942
#214355902
#214355792
#214355692
#214355042
#214355012
#214354042
#214351452
#214350812
#214342822
#214342792
#214341862
#214335952
#214335942
#463×D592
#214332302
C59×#32202
#6201559