Finite Group Databasebeta

← #29482070

Subgroups — #29482070

Order 15104.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438686C211yesmaximal, characteristic, complemented
2#21438047C211yesmaximal, characteristic, complemented
3#21437182C211yesmaximal, characteristic, complemented
4#21437167C211yesmaximal, characteristic, complemented
5#21436889C211yesmaximal, characteristic, complemented
6#21436812C211yesmaximal, characteristic, complemented
7#21436285C211yesmaximal, characteristic, complemented
8#21436257C211yesmaximal, characteristic, complemented
9#21436165C211yesmaximal, characteristic, complemented
10#21436130C211yesmaximal, characteristic, complemented
11#21436044C211yesmaximal, characteristic, complemented
12#21436026C211yesmaximal, characteristic, complemented
13#21435807C211yesmaximal, characteristic, complemented
14#21435782C211yesmaximal, characteristic, complemented
15#21435634C211yesmaximal, characteristic, complemented
16#21435623C211yesmaximal, characteristic, complemented
17#21435595C211yesmaximal, characteristic, complemented
18#21435574C211yesmaximal, characteristic, complemented
19#21435526C211yesmaximal, characteristic, complemented
20#21435501C211yesmaximal, characteristic, complemented
21#21435421C211yesmaximal, characteristic, complemented
22#21435207C211yesmaximal, characteristic, complemented
23#21435187C211yesmaximal, characteristic, complemented
24#21435089C211yesmaximal, characteristic, complemented
25#21434350C211yesmaximal, characteristic, complemented
26#21434210C211yesmaximal, characteristic, complemented
27#21433608C211yesmaximal, characteristic, complemented
28#21433594C211yesmaximal, characteristic, complemented
29#21433544C211yesmaximal, characteristic, complemented
30#21433230C211yesmaximal, characteristic, complemented
31C59×#3122C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic
33C2×#14273751C2211yescharacteristic
34C2×#14273746C2211yescharacteristic
35C2×#14273746C2211yescharacteristic, complemented
36C22×#11745670C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic
38#16838149—21no—
39#16838140—21no—
40#16838135C2211yescharacteristic, complemented
41#16838135C2211yescharacteristic, complemented
42#16838122C2211yescharacteristic, complemented
43#16838120C2211yescharacteristic
44#16838117C2211yescharacteristic
45#16838115C2211yescharacteristic, complemented
46#16838104—21no—
47#16838081—21no—
48#16838078—21no—
49#16838075—21no—
50#16838070C2211yescharacteristic, complemented
51D4×Dic118C2211yescharacteristic, complemented
52#16838061—21no—
53#16838058C2211yescharacteristic
54#16838058C2211yescharacteristic, complemented
55#16838056C2211yescharacteristic, complemented
56#16838049C2211yescharacteristic
57#16838047C2211yescharacteristic
58#16838047C2211yescharacteristic, complemented
59#16838046C2211yescharacteristic, complemented
60#16838042—21no—
61D4×C22⋊D59C2211yescharacteristic
62#16838023C2211yescharacteristic, complemented
63#16838017C2211yescharacteristic
64#16838015C2211yescharacteristic, complemented
65#16838005—21no—
66#16837996—21no—
67#16837990—21no—
68#16837989—21no—
69#16837988—21no—
70#16837985—21no—
71#16837978C2211yescharacteristic, complemented
72#16837965C2211yescharacteristic, complemented
73#16837950C2211yescharacteristic, complemented
74#16837949C2211yescharacteristic, complemented
75#16837937C2211yescharacteristic, complemented
76#16837932—21no—
77#16837930C2211yescharacteristic
78C2×#14273713—21no—
79#16837874C2211yescharacteristic
80C4×#11745687C2211yescharacteristic, complemented
81#16837796C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic
83#16837790C2211yescharacteristic, complemented
84#16837790C2211yescharacteristic, complemented
85#16837786C2211yescharacteristic, complemented
86#16837785C2211yescharacteristic, complemented
87#16837762C2211yescharacteristic, complemented
88#16837760C2211yescharacteristic, complemented
89#16837760C2211yescharacteristic, complemented
90#16837760C2211yescharacteristic, complemented
91#16837753C2211yescharacteristic, complemented
92#16837747C2211yescharacteristic, complemented
93#16837746C2211yescharacteristic, complemented
94#16837745C2211yescharacteristic, complemented
95#16837745C2211yescharacteristic, complemented
96#16837728C2211yescharacteristic, complemented
97#16837706C2211yescharacteristic, complemented
98#16837699C2211yescharacteristic, complemented
99#16837696C2211yescharacteristic, complemented
100#16837696C2211yescharacteristic, complemented
101#16837692C2211yescharacteristic, complemented
102#16837691C2211yescharacteristic, complemented
103#16837686C2211yescharacteristic, complemented
104#16837682C2211yescharacteristic, complemented
105#16837661C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic
107#16837647C2211yescharacteristic
108#16837646C2211yescharacteristic, complemented
109#16837644C2211yescharacteristic, complemented
110#16837639C2211yescharacteristic, complemented
111#16837637C2211yescharacteristic, complemented
112#16837636C2211yescharacteristic, complemented
113#16837632C2211yescharacteristic, complemented
114#16837630C2211yescharacteristic
115#16837630C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837625C2211yescharacteristic, complemented
118#16837623C2211yescharacteristic, complemented
119#16837623C2211yescharacteristic, complemented
120#16837623C2211yescharacteristic, complemented
121#16837623C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837617C2211yescharacteristic
124#16837617C2211yescharacteristic
125#16837617C2211yescharacteristic, complemented
126#16837617C2211yescharacteristic, complemented
127#16837617C2211yescharacteristic, complemented
128#16837617C2211yescharacteristic, complemented
129#16837616C2211yescharacteristic, complemented
130#16837615C2211yescharacteristic
131#16837615C2211yescharacteristic
132#16837615C2211yescharacteristic, complemented
133#16837613C2211yescharacteristic, complemented
134#16837608C2211yescharacteristic, complemented
135#16837607C2211yescharacteristic, complemented
136#16837607C2211yescharacteristic, complemented
137#16837607C2211yescharacteristic, complemented
138#16837607C2211yescharacteristic, complemented
139#16837601C2211yescharacteristic, complemented
140#16837599C2211yescharacteristic, complemented
141#16837596C2211yescharacteristic
142#16837596C2211yescharacteristic, complemented
143#16837595C2211yescharacteristic
144#16837594C2211yescharacteristic, complemented
145#16837566C2211yescharacteristic, complemented
146#16837565C2211yescharacteristic, complemented
147#16837565C2211yescharacteristic, complemented
148#16837560C2211yescharacteristic, complemented
149#16837554C2211yescharacteristic
150#16837554C2211yescharacteristic
151#16837554C2211yescharacteristic, complemented
152#16837549C2211yescharacteristic
153#16837548C2211yescharacteristic
154#16837548C2211yescharacteristic, complemented
155#16837548C2211yescharacteristic, complemented
156#16837544C2211yescharacteristic
157#16837544C2211yescharacteristic, complemented
158#16837544C2211yescharacteristic, complemented
159#16837543C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic
161#16837532C2211yescharacteristic, complemented
162#16837530C2211yescharacteristic, complemented
163#16837511C2211yescharacteristic
164#16837508C2211yescharacteristic, complemented
165#16837501C2211yescharacteristic, complemented
166#16837501C2211yescharacteristic, complemented
167#16837499C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169#16837493C2211yescharacteristic, complemented
170#16837489C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic
172#16837476C2211yescharacteristic, complemented
173#16837475C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic
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#16837410C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837396C2211yescharacteristic, complemented
185#16837395C2211yescharacteristic, complemented
186#16837395C2211yescharacteristic, complemented
187#16837395C2211yescharacteristic, complemented
188C59×#540C2211yescharacteristic, complemented
189C59×#518C2211yescharacteristic, complemented
190C59×#482C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#478C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#459C2211yescharacteristic
195C59×#459C2211yescharacteristic, complemented
196C59×#447C2211yescharacteristic
197C59×#447C2211yescharacteristic, complemented
198C59×#442C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C4×D8×C59C2211yescharacteristic
201C4×D8×C59C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685C2311yescharacteristic
205C2×#11745687C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C2×#11745687C2311yescharacteristic
209C22×Dic118—21no—
210C22×Dic118C2311yescharacteristic
211C22×C22⋊D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214#14273753—42no—
215#14273751—42no—
216#14273746—42no—
217#14273746—42no—
218C2×Dic236C2311yescharacteristic
219C2×Dic236C2311yescharacteristic
220C2×Dic236C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745670—42no—
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×D472C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239D8×D59—42no—
240C2×#11745664C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C22×C59⋊C8C2311yescharacteristic
243C2×C8×D59C2311yescharacteristic
244C2×C8×D59C2311yescharacteristic
245C2×C8×D59C2311yescharacteristic
246#14273727C2311yescharacteristic
247#14273727C2311yescharacteristic
248#14273727C2311yescharacteristic
249#14273726C2311yescharacteristic
250#14273726C2311yescharacteristic
251#14273723—21no—
252#14273723C2311yescharacteristic
253#14273723C2311yescharacteristic
254#14273722—21no—
255#14273722—21no—
256#14273722—21no—
257#14273722—21no—
258#14273722D411yescharacteristic
259#14273721—21no—
260#14273720—21no—
261#14273720—21no—
262#14273720—21no—
263#14273720—21no—
264#14273720D411yescharacteristic
265#14273718—21no—
266#14273718—21no—
267#14273717D411yescharacteristic
268#14273715—21no—
269#14273715C2311yescharacteristic
270#14273715C2311yescharacteristic
271#14273715C2311yescharacteristic
272#14273714C2311yescharacteristic
273#14273714C2311yescharacteristic
274#14273714C2311yescharacteristic
275#14273714C2311yescharacteristic
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273713—21no—
285#14273713—21no—
286#14273713—21no—
287#14273713D411yescharacteristic
288#14273712—21no—
289#14273712D411yescharacteristic
290#14273711—21no—
291#14273711—21no—
292#14273711—21no—
293#14273711—21no—
294#14273711—21no—
295#14273711—21no—
296#14273710—21no—
297#14273710—21no—
298#14273710—21no—
299#14273709—21no—
300#14273709—21no—
301#14273709—21no—
302#14273709—21no—
303#14273709D411yescharacteristic
304#14273708—21no—
305#14273707—21no—
306#14273707—21no—
307#14273707C2311yescharacteristic
308#14273707C2311yescharacteristic
309#14273707C2311yescharacteristic
310#14273707C2311yescharacteristic
311#14273706—21no—
312#14273706—21no—
313#14273706—21no—
314#14273706C2311yescharacteristic
315#14273705—21no—
316#14273705D411yescharacteristic
317#14273704—21no—
318#14273704—21no—
319#14273704—21no—
320#14273704—21no—
321#14273702C2311yescharacteristic
322#14273702C2311yescharacteristic
323#14273701—21no—
324#14273701—21no—
325#14273701—21no—
326#14273701—21no—
327#14273701C2311yescharacteristic
328#14273700—21no—
329#14273700—21no—
330#14273700—21no—
331#14273700D411yescharacteristic
332#14273699—21no—
333#14273699—21no—
334#14273699—21no—
335#14273699—21no—
336#14273699—21no—
337#14273699—21no—
338#14273699—21no—
339#14273698—21no—
340#14273698—21no—
341#14273698—21no—
342#14273698C2311yescharacteristic
343#14273698C2311yescharacteristic
344#14273697—21no—
345#14273697—21no—
346#14273696—21no—
347#14273696—21no—
348#14273695—21no—
349#14273695—21no—
350#14273695—21no—
351#14273695—21no—
352C4×Dic118—21no—
353C4×Dic118C2311yescharacteristic
354C4×Dic118C2311yescharacteristic
355#14273692C2311yescharacteristic
356#14273692C2311yescharacteristic
357#14273692C2311yescharacteristic
358#14273692C2311yescharacteristic
359C4×D236C2311yescharacteristic
360C4×D236C2311yescharacteristic
361D4×Dic59—21no—
362D4×Dic59—21no—
363D4×Dic59—21no—
364D4×Dic59—21no—
365D4×Dic59C2311yescharacteristic
366D4×Dic59C2311yescharacteristic
367#14273689—21no—
368#14273689C2311yescharacteristic
369#14273689C2311yescharacteristic
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59C2311yescharacteristic
376C4×C22⋊D59C2311yescharacteristic
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380#14273686—21no—
381#14273686—21no—
382#14273685—21no—
383#14273685C2311yescharacteristic
384#14273685C2311yescharacteristic
385#14273684—21no—
386#14273684C2311yescharacteristic
387#14273683—21no—
388C2×C4⋊Dic59—21no—
389C2×C22⋊Dic59—21no—
390C2×(C2×D59)⋊C4—21no—
391C2×(C2×D59)⋊C4—21no—
392C2×(C2×D59)⋊C4—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C2×C4×Dic59—21no—
396C42×D59C2311yescharacteristic
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#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
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
441C22×D4×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446#127×C59C2311yescharacteristic
447#125×C59C2311yescharacteristic
448#123×C59—21no—
449#123×C59—21no—
450#121×C59—21no—
451#121×C59—21no—
452#121×C59C2311yescharacteristic
453#121×C59C2311yescharacteristic
454C4×D4×C59—21no—
455C4×D4×C59—21no—
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462#117×C59C2311yescharacteristic
463#117×C59C2311yescharacteristic
464C2×C22⋊C4×C59—21no—
465C2×C22⋊C4×C59—21no—
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C2×D4×C59—22no—
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—41no—
494C2×D4×C59C2411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C2×D4×C59C2411yescharacteristic
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59—21no—
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—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—82no—
520C2×C22⋊D59C2×D411yescharacteristic
521C2×C22⋊D59C2×D411yescharacteristic
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529#11745687—22no—
530#11745687—41no—
531#11745687—41no—
532#11745687—41no—
533#11745687—41no—
534#11745687—41no—
535#11745687—41no—
536#11745687—41no—
537D4×D59—22no—
538D4×D59—41no—
539D4×D59—41no—
540D4×D59—41no—
541#11745685—41no—
542#11745685—41no—
543#11745685—82no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236C2×D411yescharacteristic
547C2×D236C2411yescharacteristic
548C2×D236C2411yescharacteristic
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59C2×D411yescharacteristic
554C2×C4×D59C2×D411yescharacteristic
555C2×C4×D59C2411yescharacteristic
556C2×C4×D59C2411yescharacteristic
557C2×Dic118—21no—
558C2×Dic118—21no—
559C2×Dic118—21no—
560C2×Dic118—21no—
561C2×Dic118—41no—
562C2×Dic118—41no—
563C2×Dic118—82no—
564C2×Dic118C2×D411yescharacteristic
565C2×Dic118C2411yescharacteristic
566C2×Dic118C2411yescharacteristic
567C2×Dic118C2411yescharacteristic
568C2×Dic118C2411yescharacteristic
569D8×C59—22no—
570D8×C59—22no—
571D8×C59—41no—
572D8×C59—41no—
573C2×C8×C59C2411yescharacteristic
574C2×C8×C59C2411yescharacteristic
575C2×C8×C59C2411yescharacteristic
576C2×C8×C59C2411yescharacteristic
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59C2×D411yescharacteristic
580C4⋊C4×C59C2×D411yescharacteristic
581C4⋊C4×C59C2411yescharacteristic
582C4⋊C4×C59C2411yescharacteristic
583C4⋊C4×C59C2411yescharacteristic
584C4⋊C4×C59C2411yescharacteristic
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59C2×D411yescharacteristic
595C22⋊C4×C59C2×D411yescharacteristic
596C42×C59—21no—
597C42×C59C2411yescharacteristic
598C42×C59C2411yescharacteristic
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59C2×D411yescharacteristic
613C22⋊Dic59C2×D411yescharacteristic
614#11745670—22no—
615#11745670—22no—
616#11745670—22no—
617#11745670—41no—
618#11745670—41no—
619#11745670—41no—
620#11745670—41no—
621#11745670—41no—
622#11745669—22no—
623#11745669—41no—
624#11745669—41no—
625#11745669—41no—
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)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4C2×D411yescharacteristic
645(C2×D59)⋊C4C2×D411yescharacteristic
646(C2×D59)⋊C4C2×D411yescharacteristic
647(C2×D59)⋊C4C2×D411yescharacteristic
648(C2×D59)⋊C4C2×D411yescharacteristic
649(C2×D59)⋊C4C2×D411yescharacteristic
650C4⋊Dic59—21no—
651C4⋊Dic59—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59C2×D411yescharacteristic
660C4⋊Dic59C2×D411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662C4⋊Dic59C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
672Dic59⋊C4C2×D411yescharacteristic
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2411yescharacteristic
687C4×Dic59C2411yescharacteristic
688#11745664—41no—
689C2×C59⋊C8—41no—
690C2×C59⋊C8C2411yescharacteristic
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694Dic236—41no—
695Dic236—41no—
696Dic236—41no—
697D472—41no—
698#11745660—41no—
699#11745660—41no—
700#11745660—41no—
701#11745660—41no—
702#11745659—41no—
703C8×D59—41no—
704C8×D59—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—21no—
710C23×C59—42no—
711C23×C59—81no—
712C23×C59—81no—
713C23×C59C22×D411yescharacteristic
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—42no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59C22×D411yescharacteristic
723C22×D59C22×D411yescharacteristic
724D4×C59—21no—
725D4×C59—21no—
726D4×C59—21no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—42no—
732D4×C59—81no—
733D4×C59—81no—
734D4×C59—81no—
735D4×C59—81no—
736D4×C59H(5,𝔽2)12yes—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—81no—
744C2×C4×C59—81no—
745C2×C4×C59—81no—
746C2×C4×C59—81no—
747C2×C4×C59—81no—
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—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—42no—
778C2×Dic59—42no—
779C2×Dic59—81no—
780C2×Dic59—81no—
781C2×Dic59—81no—
782C2×Dic59—81no—
783C2×Dic59—81no—
784C2×Dic59C22×D411yescharacteristic
785C2×Dic59C22×D411yescharacteristic
786C2×Dic59C22×D411yescharacteristic
787C2×Dic59C22×D411yescharacteristic
788C2×Dic59C22×D411yescharacteristic
789C2×Dic59C22×D411yescharacteristic
790D236—21no—
791D236—21no—
792D236—21no—
793D236—21no—
794D236—41no—
795D236—81no—
796D236—81no—
797C4×D59—21no—
798C4×D59—21no—
799C4×D59—21no—
800C4×D59—21no—
801C4×D59—41no—
802C4×D59—41no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59—81no—
806C4×D59—81no—
807Dic118—21no—
808Dic118—21no—
809Dic118—21no—
810Dic118—21no—
811Dic118—21no—
812Dic118—21no—
813Dic118—21no—
814Dic118—21no—
815Dic118—41no—
816Dic118—42no—
817Dic118—81no—
818Dic118—81no—
819Dic118—81no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59—21no—
823C8×C59—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8—21no—
827C59⋊C8—21no—
828#62011—591nomaximal, Sylow
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—22no—
832C22×C59—21no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—162no—
845C22×C59C23×D411yescharacteristic
846C2×D59—21no—
847C2×D59—21no—
848C2×D59—21no—
849C2×D59—21no—
850C2×D59—21no—
851C2×D59—21no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—162no—
859C2×D59—162no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—21no—
863C4×C59—21no—
864C4×C59—21no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59—41no—
868C4×C59—41no—
869C4×C59C2×H(5,𝔽2)11yescharacteristic
870C4×C59#58511yescharacteristic
871Dic59—21no—
872Dic59—21no—
873Dic59—21no—
874Dic59—21no—
875Dic59—21no—
876Dic59—21no—
877Dic59—41no—
878Dic59—41no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882Dic59—41no—
883#3562—591no—
884#3514—591no—
885#3403—591no—
886#3401—591no—
887#3373—591no—
888#3367—591no—
889#3321—591no—
890#3319—591no—
891#3313—591no—
892#3311—591no—
893#3305—591no—
894#3303—591no—
895#3282—591no—
896#3280—591no—
897#3268—591no—
898#3267—591no—
899#3265—591no—
900#3264—591no—
901#3258—591no—
902#3257—591no—
903#3247—591no—
904#3225—591no—
905#3224—591no—
906#3214—591no—
907#3123—591no—
908#3122D5911yescharacteristic, complemented
909#3111—591no—
910#3042—591no—
911#3041—591no—
912#3035—591no—
913#2992—591no—
914C2×C59—42no—
915C2×C59—41no—
916C2×C59—81no—
917C2×C59—81no—
918C2×C59—81no—
919C2×C59#348811yescharacteristic
920C2×C59#358411yescharacteristic
921C2×C59#358511yescharacteristic
922D59—41no—
923D59—41no—
924D59—81no—
925D59—81no—
926C2×AGL(1,ℤ/8)—591no—
927C2×AGL(1,ℤ/8)—591no—
928C2×#135—591no—
929C2×#135—591no—
930C22×SD16—591no—
931C22×D8—591no—
932#562—1181no—
933#560—1181no—
934#559—591no—
935#559—591no—
936#556—591no—
937#556—591no—
938#555—591no—
939#555—591no—
940#553—1181no—
941#551—1181no—
942#551—1181no—
943#551—1181no—
944#550—591no—
945D4×Q8—591no—
946#548—591no—
947#548—591no—
948#548—1181no—
949#547—591no—
950#546—591no—
951#546—591no—
952#546—591no—
953#546—591no—
954#546—1181no—
955D42—591no—
956#542—591no—
957#542—591no—
958#541—591no—
959#540—1181no—
960#540C2×D5911yescharacteristic, complemented
961#539—1181no—
962#538—1181no—
963#538—1181no—
964#538—1181no—
965#538—1181no—
966#536—591no—
967#535—591no—
968#532—591no—
969#532—591no—
970#529—591no—
971#529—591no—
972#529—1181no—
973C2×#124—1181no—
974#518—591no—
975#518C2×D5911yescharacteristic, complemented
976C4×#41—591no—
977#497—591no—
978#496—591no—
979#496—591no—
980#496—591no—
981#495—591no—
982#495—591no—
983#489—591no—
984#489—591no—
985#489—591no—
986#489—591no—
987#487—591no—
988#486—591no—
989#485—591no—
990#485—591no—
991#485—591no—
992#482—591no—
993#482C2×D5911yescharacteristic, complemented
994#482C2×D5911yescharacteristic, complemented
995#479—591no—
996#478—591no—
997#478C2×D5911yescharacteristic, complemented
998#478C2×D5911yescharacteristic, complemented
999#477—591no—
1000#477—591no—
1001#476—591no—
1002#476—591no—
1003#475—591no—
1004#474—591no—
1005#470—591no—
1006#469—591no—
1007#468—591no—
1008#468—591no—
1009#467—591no—
1010#466—591no—
1011#466—591no—
1012#466—591no—
1013#465—591no—
1014#465—591no—
1015#465—591no—
1016#465—591no—
1017#464—591no—
1018#464—591no—
1019#464—591no—
1020#464—591no—
1021#464—591no—
1022#463—591no—
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463—591no—
1030#463—591no—
1031#463—591no—
1032#463—591no—
1033#462—591no—
1034#461—591no—
1035#461—591no—
1036#461—591no—
1037#461—591no—
1038#461—591no—
1039#460—591no—
1040#460—591no—
1041#459—591no—
1042#459—591no—
1043#459—591no—
1044#459—591no—
1045#459C2×D5911yescharacteristic
1046#459C2×D5911yescharacteristic, complemented
1047#452—591no—
1048#452—591no—
1049#452—591no—
1050#451—591no—
1051#450—591no—
1052#450—591no—
1053#450—591no—
1054#449—591no—
1055#449—591no—
1056#449—591no—
1057#449—591no—
1058#449—591no—
1059#449—591no—
1060#449—591no—
1061#448—591no—
1062#447—591no—
1063#447C2×D5911yescharacteristic
1064#447C2×D5911yescharacteristic, complemented
1065#446—591no—
1066#446—591no—
1067#442—591no—
1068#442C2×D5911yescharacteristic, complemented
1069#442C2×D5911yescharacteristic, complemented
1070#441—591no—
1071#440—591no—
1072#440—591no—
1073#440—591no—
1074#440—591no—
1075C4×SD16—591no—
1076C4×SD16—591no—
1077C4×D8C2×D5911yescharacteristic
1078C4×D8C2×D5911yescharacteristic, complemented
1079#435—591no—
1080#435—591no—
1081#435—591no—
1082#435—591no—
1083C8×D4—591no—
1084C8×D4—591no—
1085#433—591no—
1086#433C2×D5911yescharacteristic, complemented
1087#432—591no—
1088#424—591no—
1089#424—591no—
1090C2×C4⋊C8—591no—
1091#419—591no—
1092#418—591no—
1093#416—591no—
1094#416—591no—
1095#416—591no—
1096#416—591no—
1097C59#6201111yescharacteristic, complemented, Sylow
1098C2×#41—591no—
1099C2×#41—591no—
1100C2×#41—591no—
1101C2×#41—591no—
1102C2×#41—591no—
1103C2×#41—1181no—
1104C22×Q8—591no—
1105C22×Q8—1181no—
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—1181no—
1109C22×D4C22×D5911yescharacteristic
1110AGL(1,ℤ/8)—2362no—
1111AGL(1,ℤ/8)—2362no—
1112#135—2362no—
1113#135—2362no—
1114C2×Q16—591no—
1115C2×Q16—591no—
1116C2×Q16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16—591no—
1128C2×SD16—591no—
1129C2×SD16—2362no—
1130C2×D8—591no—
1131C2×D8—591no—
1132C2×D8—591no—
1133C2×D8—591no—
1134C2×D8—591no—
1135C2×D8—2362no—
1136C2×D8C22×D5911yescharacteristic
1137C2×D8C22×D5911yescharacteristic
1138C2×D8C22×D5911yescharacteristic
1139C2×D8C22×D5911yescharacteristic
1140C2×M16—591no—
1141C2×M16—591no—
1142C22×C8—591no—
1143C22×C8—591no—
1144C22×C8—591no—
1145C22×C8—591no—
1146C4⋊Q8—591no—
1147C4⋊Q8—591no—
1148C4⋊Q8—591no—
1149C4⋊Q8—591no—
1150C4⋊Q8—591no—
1151#127—591no—
1152#127—591no—
1153#127—1181no—
1154#127C22×D5911yescharacteristic
1155#126—591no—
1156#126—591no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#126—1181no—
1161#126—1181no—
1162#126—1181no—
1163#126—1181no—
1164#126—1181no—
1165#126—1181no—
1166#125—591no—
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—591no—
1176#124—591no—
1177#124—591no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#123—21no—
1191#123—21no—
1192#123—591no—
1193#123—591no—
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—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—591no—
1213C22⋊Q8—591no—
1214C22⋊Q8—591no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8—1181no—
1225#121—21no—
1226#121—21no—
1227#121—591no—
1228#121—591no—
1229#121—591no—
1230#121—591no—
1231#121—591no—
1232#121—591no—
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#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121C22×D5911yescharacteristic
1251#121C22×D5911yescharacteristic
1252#120—1181no—
1253#120—1181no—
1254#120—1181no—
1255#120—1181no—
1256#120—1181no—
1257#120—1181no—
1258#120—1181no—
1259#120—1181no—
1260C4×Q8—591no—
1261C4×Q8—591no—
1262C4×Q8—591no—
1263C4×Q8—591no—
1264C4×Q8—591no—
1265C4×Q8—591no—
1266C4×Q8—1181no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
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—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4C22×D5911yescharacteristic
1291C4×D4C22×D5911yescharacteristic
1292C4×D4C22×D5911yescharacteristic
1293C4×D4C22×D5911yescharacteristic
1294C4×D4C22×D5911yescharacteristic
1295C4×D4C22×D5911yescharacteristic
1296#117—591no—
1297#117—591no—
1298#117—591no—
1299#117—1181no—
1300#117—1181no—
1301#117—1181no—
1302#117—1181no—
1303#117—1181no—
1304#117C22×D5911yescharacteristic
1305#117C22×D5911yescharacteristic
1306C2×C4⋊C4—1181no—
1307C2×C22⋊C4—21no—
1308C2×C22⋊C4—21no—
1309C2×C22⋊C4—1181no—
1310C2×C22⋊C4—1181no—
1311C2×C22⋊C4—1181no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C42—591no—
1316C2×C42—1181no—
1317#107—591no—
1318#107—591no—
1319#107C22×D5911yescharacteristic
1320#107C22×D5911yescharacteristic
1321#106—591no—
1322#106—591no—
1323#106C22×D5911yescharacteristic
1324#106C22×D5911yescharacteristic
1325C4⋊C8—591no—
1326C4⋊C8—591no—
1327C4⋊C8—591no—
1328C4⋊C8—591no—
1329C4⋊C8—591no—
1330C4⋊C8—591no—
1331C4⋊C8—591no—
1332C4⋊C8—591no—
1333C4⋊C8C22×D5911yescharacteristic
1334C4⋊C8C22×D5911yescharacteristic
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103—591no—
1341#103—591no—
1342#103—591no—
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102C22×D5911yescharacteristic
1360#102C22×D5911yescharacteristic
1361#102C22×D5911yescharacteristic
1362#102C22×D5911yescharacteristic
1363#102C22×D5911yescharacteristic
1364#102C22×D5911yescharacteristic
1365#102C22×D5911yescharacteristic
1366#102C22×D5911yescharacteristic
1367C22⋊C8—591no—
1368C22⋊C8—591no—
1369C22⋊C8—591no—
1370C22⋊C8—591no—
1371C22⋊C8C22×D5911yescharacteristic
1372C22⋊C8C22×D5911yescharacteristic
1373#97—591no—
1374#97—591no—
1375#97—591no—
1376#97C22×D5911yescharacteristic
1377C4×C8—591no—
1378C4×C8C22×D5911yescharacteristic
1379C24—21no—
1380C24—1181no—
1381C24—1181no—
1382#41—1182no—
1383#41—4722no—
1384#41—2361no—
1385#41—2361no—
1386#41—2361no—
1387#41—2361no—
1388#41—2361no—
1389#41—2361no—
1390#41—2361no—
1391#41—2361no—
1392#41—2361no—
1393C2×Q8—591no—
1394C2×Q8—591no—
1395C2×Q8—591no—
1396C2×Q8—591no—
1397C2×Q8—591no—
1398C2×Q8—1181no—
1399C2×Q8—1181no—
1400C2×Q8—1181no—
1401C2×Q8—1181no—
1402C2×Q8—4722no—
1403C2×Q8—2361no—
1404C2×Q8—2361no—
1405C2×D4—22no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—41no—
1412C2×D4—591no—
1413C2×D4—591no—
1414C2×D4—591no—
1415C2×D4—591no—
1416C2×D4—591no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1182no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—4722no—
1435C2×D4—2361no—
1436C2×D4—2361no—
1437C2×D4—2361no—
1438C2×D4C23×D5911yescharacteristic
1439C2×D4C23×D5911yescharacteristic
1440C2×D4C23×D5911yescharacteristic
1441C2×D4C23×D5911yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—591no—
1449C22×C4—591no—
1450C22×C4—591no—
1451C22×C4—591no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4C23×D5911yescharacteristic
1464Q16—2361no—
1465Q16—2361no—
1466Q16—2361no—
1467SD16—1182no—
1468SD16—1182no—
1469SD16—1182no—
1470SD16—2361no—
1471SD16—2361no—
1472SD16—2361no—
1473SD16—2361no—
1474SD16—2361no—
1475SD16—2361no—
1476SD16—2361no—
1477SD16—2361no—
1478SD16—2361no—
1479D8—22no—
1480D8—22no—
1481D8—41no—
1482D8—41no—
1483D8—1182no—
1484D8—2361no—
1485D8—2361no—
1486D8—2361no—
1487D8—2361no—
1488M16—2361no—
1489M16—2361no—
1490C2×C8—591no—
1491C2×C8—591no—
1492C2×C8—591no—
1493C2×C8—591no—
1494C2×C8—2361no—
1495C2×C8—2361no—
1496C2×C8—2361no—
1497C2×C8—2361no—
1498C2×C8C23×D5911yescharacteristic
1499C2×C8C23×D5911yescharacteristic
1500C2×C8C23×D5911yescharacteristic
1501C2×C8C23×D5911yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—591no—
1505C4⋊C4—591no—
1506C4⋊C4—591no—
1507C4⋊C4—591no—
1508C4⋊C4—591no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—591no—
1512C4⋊C4—591no—
1513C4⋊C4—591no—
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
1535C4⋊C4C23×D5911yescharacteristic
1536C4⋊C4C23×D5911yescharacteristic
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—591no—
1547C22⋊C4—591no—
1548C22⋊C4—591no—
1549C22⋊C4—591no—
1550C22⋊C4—591no—
1551C22⋊C4—591no—
1552C22⋊C4—591no—
1553C22⋊C4—591no—
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⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4D4×D5911yescharacteristic
1586C22⋊C4D4×D5911yescharacteristic
1587C42—21no—
1588C42—591no—
1589C42—591no—
1590C42—591no—
1591C42—591no—
1592C42—1181no—
1593C42—1181no—
1594C42—1181no—
1595C42—1181no—
1596C42—1181no—
1597C42—1181no—
1598C42—1181no—
1599C42C23×D5911yescharacteristic
1600C42C23×D5911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—42no—
1606C23—81no—
1607C23—81no—
1608C23—591no—
1609C23—591no—
1610C23—1181no—
1611C23—1181no—
1612C23—4721no—
1613C23—4721no—
1614C23—4721no—
1615C23—4721no—
1616C23—4721no—
1617C23—2362no—
1618C23C2×D4×D5911yescharacteristic
1619Q8—1181no—
1620Q8—1181no—
1621Q8—1181no—
1622Q8—1181no—
1623Q8—1181no—
1624Q8—1181no—
1625Q8—1181no—
1626Q8—1181no—
1627Q8—4721no—
1628Q8—4721no—
1629Q8—4721no—
1630Q8—2361no—
1631Q8—2362no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—42no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—1181no—
1645D4—1181no—
1646D4—1181no—
1647D4—1181no—
1648D4—4721no—
1649D4—4721no—
1650D4—4721no—
1651D4—4721no—
1652D4—4721no—
1653D4—4721no—
1654D4—4721no—
1655D4—4721no—
1656D4—4721no—
1657D4—4721no—
1658D4—4721no—
1659D4—4721no—
1660D4—4721no—
1661D4—2361no—
1662D4—2361no—
1663D4—2361no—
1664D4—2362no—
1665D4—2362no—
1666D4—2362no—
1667D4#1427377312yes—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—591no—
1681C2×C4—591no—
1682C2×C4—591no—
1683C2×C4—591no—
1684C2×C4—591no—
1685C2×C4—591no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—4721no—
1697C2×C4—4721no—
1698C2×C4—4721no—
1699C2×C4—4721no—
1700C2×C4—4721no—
1701C2×C4—4721no—
1702C2×C4—4721no—
1703C2×C4—4721no—
1704C2×C4—4721no—
1705C2×C4—2361no—
1706C2×C4—2361no—
1707C2×C4—2362no—
1708C2×C4—2362no—
1709C2×C4C2×D4×D5911yescharacteristic
1710C2×C4C2×D4×D5911yescharacteristic
1711C2×C4C2×D4×D5911yescharacteristic
1712C2×C4C2×D4×D5911yescharacteristic
1713C2×C4C2×D4×D5911yescharacteristic
1714C2×C4C24×D5911yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1181no—
1720C8—1181no—
1721C8—1181no—
1722C8—1181no—
1723C22—21no—
1724C22—22no—
1725C22—21no—
1726C22—21no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—162no—
1739C22—1181no—
1740C22—1181no—
1741C22—1181no—
1742C22—1181no—
1743C22—1181no—
1744C22—1181no—
1745C22—9442no—
1746C22—9442no—
1747C22—2361no—
1748C22—2361no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22C22×D4×D5911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—1181no—
1764C4—1181no—
1765C4—1181no—
1766C4—1181no—
1767C4—1181no—
1768C4—1181no—
1769C4—2361no—
1770C4—2361no—
1771C4—2361no—
1772C4—2361no—
1773C4—2361no—
1774C4—2361no—
1775C4C2×#1427377311yescharacteristic
1776C4#1683823811yescharacteristic
1777C2—41no—
1778C2—42no—
1779C2—81no—
1780C2—81no—
1781C2—81no—
1782C2—4721no—
1783C2—4721no—
1784C2—2361no—
1785C2—2361no—
1786C2#2143775711yescharacteristic
1787C2#2143886411yescharacteristic
1788C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3122C2
socleC22×C59C23×D4
hypercenter#3122D59
hypocenterC59#62011
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3122

Complements

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

NH ≅ G/Ntype
1. #21438686C2semidirect
2. #21438047C2semidirect
3. #21437182C2semidirect
4. #21437167C2semidirect
5. #21436889C2semidirect
6. #21436812C2semidirect
7. #21436285C2semidirect
8. #21436257C2semidirect
9. #21436165C2semidirect
10. #21436130C2semidirect
11. #21436044C2semidirect
12. #21436026C2semidirect
13. #21435807C2semidirect
14. #21435782C2semidirect
15. #21435634C2semidirect
16. #21435623C2semidirect
17. #21435595C2semidirect
18. #21435574C2semidirect
19. #21435526C2semidirect
20. #21435501C2semidirect
21. #21435421C2semidirect
22. #21435207C2semidirect
23. #21435187C2semidirect
24. #21435089C2semidirect
25. #21434350C2semidirect
26. #21434210C2semidirect
27. #21433608C2semidirect
28. #21433594C2semidirect
29. #21433544C2semidirect
30. #21433230C2semidirect
31. C59×#3122C2semidirect
35. C2×#14273746C22semidirect
36. C22×#11745670C22semidirect
40. #16838135C22semidirect
41. #16838135C22semidirect
42. #16838122C22semidirect
45. #16838115C22semidirect
50. #16838070C22semidirect
51. D4×Dic118C22semidirect
54. #16838058C22semidirect
55. #16838056C22semidirect
58. #16838047C22semidirect
59. #16838046C22semidirect
62. #16838023C22semidirect
64. #16838015C22semidirect
71. #16837978C22semidirect
72. #16837965C22semidirect
73. #16837950C22semidirect
74. #16837949C22semidirect
75. #16837937C22semidirect
80. C4×#11745687C22semidirect
81. #16837796C22semidirect
83. #16837790C22semidirect
84. #16837790C22semidirect
85. #16837786C22semidirect
86. #16837785C22semidirect
87. #16837762C22semidirect
88. #16837760C22semidirect
89. #16837760C22semidirect
90. #16837760C22semidirect
91. #16837753C22semidirect
92. #16837747C22semidirect
93. #16837746C22semidirect
94. #16837745C22semidirect
95. #16837745C22semidirect
96. #16837728C22semidirect
97. #16837706C22semidirect
98. #16837699C22semidirect
99. #16837696C22semidirect
100. #16837696C22semidirect
101. #16837692C22semidirect
102. #16837691C22semidirect
103. #16837686C22semidirect
104. #16837682C22semidirect
105. #16837661C22semidirect
108. #16837646C22semidirect
109. #16837644C22semidirect
110. #16837639C22semidirect
111. #16837637C22semidirect
112. #16837636C22semidirect
113. #16837632C22semidirect
115. #16837630C22semidirect
116. #16837629C22semidirect
117. #16837625C22semidirect
118. #16837623C22semidirect
119. #16837623C22semidirect
120. #16837623C22semidirect
121. #16837623C22semidirect
122. #16837618C22semidirect
125. #16837617C22semidirect
126. #16837617C22semidirect
127. #16837617C22semidirect
128. #16837617C22semidirect
129. #16837616C22semidirect
132. #16837615C22semidirect
133. #16837613C22semidirect
134. #16837608C22semidirect
135. #16837607C22semidirect
136. #16837607C22semidirect
137. #16837607C22semidirect
138. #16837607C22semidirect
139. #16837601C22semidirect
140. #16837599C22semidirect
142. #16837596C22semidirect
144. #16837594C22semidirect
145. #16837566C22semidirect
146. #16837565C22semidirect
147. #16837565C22semidirect
148. #16837560C22semidirect
151. #16837554C22semidirect
154. #16837548C22semidirect
155. #16837548C22semidirect
157. #16837544C22semidirect
158. #16837544C22semidirect
159. #16837543C22semidirect
161. #16837532C22semidirect
162. #16837530C22semidirect
164. #16837508C22semidirect
165. #16837501C22semidirect
166. #16837501C22semidirect
167. #16837499C22semidirect
168. #16837499C22semidirect
169. #16837493C22semidirect
170. #16837489C22semidirect
172. #16837476C22semidirect
173. #16837475C22semidirect
175. C8×D236C22semidirect
176. (C22⋊D59)⋊C8C22semidirect
177. #16837462C22semidirect
178. #16837458C22semidirect
179. #16837429C22semidirect
180. #16837427C22semidirect
181. C4⋊C8×D59C22semidirect
182. #16837410C22semidirect
183. #16837405C22semidirect
184. #16837396C22semidirect
185. #16837395C22semidirect
186. #16837395C22semidirect
187. #16837395C22semidirect
188. C59×#540C22semidirect
189. C59×#518C22semidirect
190. C59×#482C22semidirect
191. C59×#482C22semidirect
192. C59×#478C22semidirect
193. C59×#478C22semidirect
195. C59×#459C22semidirect
197. C59×#447C22semidirect
198. C59×#442C22semidirect
199. C59×#442C22semidirect
201. C4×D8×C59C22semidirect
202. C59×#433C22semidirect
908. #3122D59semidirect
960. #540C2×D59semidirect
975. #518C2×D59semidirect
993. #482C2×D59semidirect
994. #482C2×D59semidirect
997. #478C2×D59semidirect
998. #478C2×D59semidirect
1046. #459C2×D59semidirect
1064. #447C2×D59semidirect
1068. #442C2×D59semidirect
1069. #442C2×D59semidirect
1078. C4×D8C2×D59semidirect
1086. #433C2×D59semidirect
1097. C59#62011semidirect

Maximal subgroups

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

subgroupindex
#214386862
#214380472
#214371822
#214371672
#214368892
#214368122
#214362852
#214362572
#214361652
#214361302
#214360442
#214360262
#214358072
#214357822
#214356342
#214356232
#214355952
#214355742
#214355262
#214355012
#214354212
#214352072
#214351872
#214350892
#214343502
#214342102
#214336082
#214335942
#214335442
#214332302
C59×#31222
#6201159