Finite Group Databasebeta

← #29483907

Subgroups — #29483907

Order 15104.

1900 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438421C211yesmaximal, characteristic, complemented
2#21438196C211yesmaximal, characteristic, complemented
3#21437182C211yesmaximal, characteristic, complemented
4#21437141C211yesmaximal, characteristic, complemented
5#21436871C211yesmaximal, characteristic, complemented
6#21436830C211yesmaximal, characteristic, complemented
7#21436308C211yesmaximal, characteristic, complemented
8#21436246C211yesmaximal, characteristic, complemented
9#21436238C211yesmaximal, characteristic, complemented
10#21436120C211yesmaximal, characteristic, complemented
11#21436100C211yesmaximal, characteristic, complemented
12#21435732C211yesmaximal, characteristic, complemented
13#21435713C211yesmaximal, characteristic, complemented
14#21435688C211yesmaximal, characteristic, complemented
15#21435634C211yesmaximal, characteristic, complemented
16#21435595C211yesmaximal, characteristic, complemented
17#21435587C211yesmaximal, characteristic, complemented
18#21435532C211yesmaximal, characteristic, complemented
19#21435506C211yesmaximal, characteristic, complemented
20#21435491C211yesmaximal, characteristic, complemented
21#21435193C211yesmaximal, characteristic, complemented
22#21435142C211yesmaximal, characteristic, complemented
23#21435112C211yesmaximal, characteristic, complemented
24#21434383C211yesmaximal, characteristic, complemented
25#21434291C211yesmaximal, characteristic, complemented
26#21434200C211yesmaximal, characteristic, complemented
27#21433630C211yesmaximal, characteristic, complemented
28#21433616C211yesmaximal, characteristic, complemented
29#21433575C211yesmaximal, characteristic, complemented
30#21433260C211yesmaximal, characteristic, complemented
31C59×#3325C211yesmaximal, characteristic, complemented
32C2×#14273760C2211yescharacteristic, complemented
33C2×#14273755C2211yescharacteristic, complemented
34C2×#14273753C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×#14273746C2211yescharacteristic, complemented
37C22×#11745670C2211yescharacteristic, complemented
38#16838141—21no—
39#16838140—21no—
40#16838135C2211yescharacteristic
41#16838135C2211yescharacteristic, complemented
42#16838134—21no—
43#16838127C2211yescharacteristic, complemented
44#16838114—21no—
45#16838096C2211yescharacteristic, complemented
46#16838095—21no—
47#16838091C2211yescharacteristic, complemented
48#16838085—21no—
49#16838072C2211yescharacteristic
50#16838070C2211yescharacteristic
51#16838070C2211yescharacteristic, complemented
52#16838061C2211yescharacteristic, complemented
53#16838058C2211yescharacteristic, complemented
54#16838048C2211yescharacteristic
55#16838046C2211yescharacteristic
56#16838039—21no—
57#16838036C2211yescharacteristic
58D4×C22⋊D59—21no—
59D4×C22⋊D59C2211yescharacteristic
60#16838026C2211yescharacteristic, complemented
61#16838016—21no—
62#16838005C2211yescharacteristic
63#16838005C2211yescharacteristic, complemented
64#16838003C2211yescharacteristic
65#16838002—21no—
66#16838002—21no—
67#16837969C2211yescharacteristic
68#16837967—21no—
69#16837965C2211yescharacteristic
70#16837962—21no—
71#16837961—21no—
72C2×#14273723C2211yescharacteristic
73#16837933C2211yescharacteristic
74#16837933C2211yescharacteristic, complemented
75#16837932C2211yescharacteristic
76#16837931—21no—
77#16837930—21no—
78#16837881C2211yescharacteristic, complemented
79#16837879C2211yescharacteristic, complemented
80#16837870C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic
82#16837790C2211yescharacteristic, complemented
83#16837790C2211yescharacteristic, complemented
84#16837789C2211yescharacteristic, complemented
85#16837786C2211yescharacteristic, complemented
86#16837777C2211yescharacteristic, complemented
87#16837765C2211yescharacteristic
88#16837765C2211yescharacteristic, complemented
89#16837765C2211yescharacteristic, complemented
90#16837764C2211yescharacteristic, complemented
91#16837755C2211yescharacteristic, complemented
92#16837743C2211yescharacteristic, complemented
93#16837726C2211yescharacteristic, complemented
94#16837719C2211yescharacteristic, complemented
95#16837717C2211yescharacteristic, complemented
96#16837712C2211yescharacteristic, complemented
97#16837712C2211yescharacteristic, complemented
98#16837708C2211yescharacteristic, complemented
99#16837704C2211yescharacteristic, complemented
100#16837704C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837701C2211yescharacteristic, complemented
104#16837679C2211yescharacteristic, complemented
105#16837660C2211yescharacteristic, complemented
106#16837656C2211yescharacteristic, complemented
107#16837655C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic
110#16837646C2211yescharacteristic, complemented
111#16837637C2211yescharacteristic, complemented
112#16837636C2211yescharacteristic, complemented
113#16837636C2211yescharacteristic, complemented
114#16837632C2211yescharacteristic, complemented
115#16837625C2211yescharacteristic, complemented
116#16837623C2211yescharacteristic, complemented
117#16837623C2211yescharacteristic, complemented
118#16837623C2211yescharacteristic, complemented
119#16837623C2211yescharacteristic, complemented
120#16837623C2211yescharacteristic, complemented
121#16837618C2211yescharacteristic, complemented
122#16837617C2211yescharacteristic, complemented
123#16837617C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837615C2211yescharacteristic, complemented
127#16837601C2211yescharacteristic
128#16837601C2211yescharacteristic, complemented
129#16837601C2211yescharacteristic, complemented
130#16837601C2211yescharacteristic, complemented
131#16837601C2211yescharacteristic, complemented
132#16837601C2211yescharacteristic, complemented
133#16837601C2211yescharacteristic, complemented
134#16837601C2211yescharacteristic, complemented
135#16837599C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic
137#16837596C2211yescharacteristic, complemented
138#16837596C2211yescharacteristic, complemented
139#16837596C2211yescharacteristic, complemented
140#16837596C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic, complemented
142#16837595C2211yescharacteristic, complemented
143#16837595C2211yescharacteristic, complemented
144#16837566C2211yescharacteristic, complemented
145#16837565C2211yescharacteristic, complemented
146#16837555C2211yescharacteristic, complemented
147#16837554C2211yescharacteristic, complemented
148#16837553C2211yescharacteristic, complemented
149#16837549C2211yescharacteristic, complemented
150#16837548C2211yescharacteristic, complemented
151#16837548C2211yescharacteristic, complemented
152#16837545C2211yescharacteristic
153#16837545C2211yescharacteristic, complemented
154#16837544C2211yescharacteristic, complemented
155#16837543C2211yescharacteristic, complemented
156#16837540C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837536C2211yescharacteristic, complemented
159#16837535C2211yescharacteristic, complemented
160#16837532C2211yescharacteristic, complemented
161#16837531C2211yescharacteristic, complemented
162#16837512C2211yescharacteristic, complemented
163#16837511C2211yescharacteristic, complemented
164#16837508C2211yescharacteristic, complemented
165#16837502C2211yescharacteristic, complemented
166#16837501C2211yescharacteristic, complemented
167#16837501C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169#16837499C2211yescharacteristic, complemented
170#16837493C2211yescharacteristic, complemented
171C4×#11745660C2211yescharacteristic, complemented
172#16837489C2211yescharacteristic, complemented
173#16837478C2211yescharacteristic, complemented
174#16837476C2211yescharacteristic, complemented
175#16837474C2211yescharacteristic, complemented
176#16837471C2211yescharacteristic, complemented
177#16837470C2211yescharacteristic, complemented
178#16837461C2211yescharacteristic, complemented
179#16837460C2211yescharacteristic, complemented
180#16837456C2211yescharacteristic, complemented
181#16837430C2211yescharacteristic, complemented
182#16837427C2211yescharacteristic, complemented
183#16837425C2211yescharacteristic, complemented
184#16837406C2211yescharacteristic, complemented
185#16837400C2211yescharacteristic, complemented
186#16837396C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#555C2211yescharacteristic, complemented
189D42×C59C2211yescharacteristic
190C59×#486C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic
192C59×#482C2211yescharacteristic, complemented
193C59×#476C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic
195C59×#469C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C4×D8×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#418C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745687—21no—
206C2×#11745687C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C22×Dic118C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×C22⋊D59—21no—
211C22×C22⋊D59—21no—
212C22×C22⋊D59—21no—
213C2×D4×D59—21no—
214C2×D4×D59C2311yescharacteristic
215#14273760—42no—
216#14273755—42no—
217#14273753—42no—
218#14273751—42no—
219#14273746—42no—
220C2×Dic236C2311yescharacteristic
221C2×Dic236C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745670—42no—
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745670C2311yescharacteristic
235C2×D472C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745664C2311yescharacteristic
243C2×#11745659C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245C2×C8×D59C2311yescharacteristic
246#14273725—21no—
247#14273723—21no—
248#14273723—21no—
249#14273723—21no—
250#14273723—21no—
251#14273723C2311yescharacteristic
252#14273723C2311yescharacteristic
253#14273723C2311yescharacteristic
254#14273723C2311yescharacteristic
255#14273723C2311yescharacteristic
256#14273723C2311yescharacteristic
257#14273722—21no—
258#14273722D411yescharacteristic
259#14273721—21no—
260#14273720—21no—
261#14273720—21no—
262#14273720—21no—
263#14273720D411yescharacteristic
264#14273719—21no—
265#14273718C2311yescharacteristic
266#14273718C2311yescharacteristic
267#14273718C2311yescharacteristic
268#14273717—21no—
269#14273717—21no—
270#14273717D411yescharacteristic
271#14273716—21no—
272#14273715C2311yescharacteristic
273#14273715C2311yescharacteristic
274#14273714C2311yescharacteristic
275#14273714C2311yescharacteristic
276#14273714C2311yescharacteristic
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713D411yescharacteristic
282#14273712—21no—
283#14273712—21no—
284#14273711—21no—
285#14273711—21no—
286#14273711D411yescharacteristic
287#14273710—21no—
288#14273710—21no—
289#14273710—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709—21no—
297#14273708—21no—
298#14273708—21no—
299#14273708—21no—
300#14273708D411yescharacteristic
301#14273707C2311yescharacteristic
302#14273706C2311yescharacteristic
303#14273706C2311yescharacteristic
304#14273705—21no—
305#14273704—21no—
306#14273704D411yescharacteristic
307#14273703—21no—
308#14273702C2311yescharacteristic
309#14273702C2311yescharacteristic
310#14273701—21no—
311#14273701C2311yescharacteristic
312#14273701C2311yescharacteristic
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699D411yescharacteristic
332#14273698—21no—
333#14273698—21no—
334#14273698—21no—
335#14273698—21no—
336#14273698—21no—
337#14273698C2311yescharacteristic
338#14273697—21no—
339#14273696—21no—
340#14273696—21no—
341#14273696—21no—
342#14273696—21no—
343#14273695—21no—
344#14273695—21no—
345#14273695—21no—
346#14273695—21no—
347#14273695—21no—
348Q8×Dic59—21no—
349C4×Dic118—21no—
350C4×Dic118—21no—
351C4×Dic118C2311yescharacteristic
352C4×Dic118C2311yescharacteristic
353#14273692C2311yescharacteristic
354#14273692C2311yescharacteristic
355#14273692C2311yescharacteristic
356#14273692C2311yescharacteristic
357#14273692C2311yescharacteristic
358#14273692C2311yescharacteristic
359C4×D236—21no—
360C4×D236C2311yescharacteristic
361D4×Dic59—21no—
362D4×Dic59—21no—
363D4×Dic59—21no—
364D4×Dic59C2311yescharacteristic
365D4×Dic59C2311yescharacteristic
366D4×Dic59C2311yescharacteristic
367#14273689C2311yescharacteristic
368#14273689C2311yescharacteristic
369#14273689C2311yescharacteristic
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59C2311yescharacteristic
374C4×C22⋊D59C2311yescharacteristic
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381#14273686C2311yescharacteristic
382#14273684—21no—
383#14273684—21no—
384#14273684C2311yescharacteristic
385#14273683—21no—
386#14273683—21no—
387#14273683—21no—
388#14273683—21no—
389#14273683—21no—
390C2×Dic59⋊C4—21no—
391C4⋊C4×D59C2311yescharacteristic
392C2×C22⋊Dic59—21no—
393C22⋊C4×D59—21no—
394C2×C4×Dic59C2311yescharacteristic
395C42×D59—21no—
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436#14273638C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439#14273637C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C22×D4×C59—21no—
442C22×D4×C59C2311yescharacteristic
443C22×D4×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C2×D8×C59C2311yescharacteristic
447C2×M16×C59C2311yescharacteristic
448C2×M16×C59C2311yescharacteristic
449C4⋊Q8×C59C2311yescharacteristic
450#127×C59C2311yescharacteristic
451#124×C59—21no—
452#124×C59—21no—
453#121×C59—21no—
454#121×C59—21no—
455#121×C59C2311yescharacteristic
456#121×C59C2311yescharacteristic
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459#120×C59—21no—
460#120×C59—21no—
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464#117×C59—21no—
465#117×C59C2311yescharacteristic
466#117×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471#102×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
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C2×Q8×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—41no—
498C2×D4×C59—41no—
499C2×D4×C59—41no—
500C2×D4×C59—41no—
501C2×D4×C59—82no—
502C2×D4×C59C2×D411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59C2411yescharacteristic
510C22×C4×C59C2411yescharacteristic
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—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⋊D59—82no—
533C2×C22⋊D59—82no—
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59—21no—
541C22×Dic59—21no—
542C22×Dic59C2×D411yescharacteristic
543C22×Dic59C2×D411yescharacteristic
544#11745687—22no—
545#11745687—41no—
546#11745687—41no—
547#11745687—41no—
548#11745687—82no—
549D4×D59—41no—
550D4×D59—41no—
551D4×D59—82no—
552#11745685—22no—
553#11745685—41no—
554#11745685—41no—
555#11745685—41no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236—21no—
559C2×D236—41no—
560C2×D236—41no—
561C2×D236C2411yescharacteristic
562C2×D236C2411yescharacteristic
563C2×D236C2411yescharacteristic
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59C2411yescharacteristic
572C2×Dic118—22no—
573C2×Dic118—21no—
574C2×Dic118—41no—
575C2×Dic118C2×D411yescharacteristic
576C2×Dic118C2411yescharacteristic
577C2×Dic118C2411yescharacteristic
578C2×Dic118C2411yescharacteristic
579D8×C59—41no—
580D8×C59—41no—
581D8×C59—41no—
582M16×C59—41no—
583M16×C59—41no—
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C4⋊C4×C59—21no—
589C4⋊C4×C59C2×D411yescharacteristic
590C4⋊C4×C59C2411yescharacteristic
591C4⋊C4×C59C2411yescharacteristic
592C4⋊C4×C59C2411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59C2×D411yescharacteristic
603C22⋊C4×C59C2×D411yescharacteristic
604C42×C59—21no—
605C42×C59—21no—
606C42×C59C2411yescharacteristic
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59C2×D411yescharacteristic
620C22⋊Dic59C2×D411yescharacteristic
621C22⋊Dic59C2×D411yescharacteristic
622C22⋊Dic59C2×D411yescharacteristic
623#11745670—22no—
624#11745670—22no—
625#11745670—22no—
626#11745670—41no—
627#11745670—41no—
628#11745670—41no—
629#11745670—41no—
630#11745669—41no—
631#11745669—41no—
632#11745669—41no—
633#11745669—41no—
634#11745669—41no—
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)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4C2×D411yescharacteristic
649(C2×D59)⋊C4C2×D411yescharacteristic
650(C2×D59)⋊C4C2×D411yescharacteristic
651(C2×D59)⋊C4C2×D411yescharacteristic
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59C2×D411yescharacteristic
657C4⋊Dic59C2×D411yescharacteristic
658C4⋊Dic59C2×D411yescharacteristic
659C4⋊Dic59C2411yescharacteristic
660C4⋊Dic59C2411yescharacteristic
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C4×Dic59C2411yescharacteristic
691C4×Dic59C2411yescharacteristic
692#11745664—41no—
693C2×C59⋊C8—41no—
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698Dic236—22no—
699Dic236—41no—
700D472—41no—
701D472—41no—
702#11745660—22no—
703#11745660—22no—
704#11745660—41no—
705#11745660—41no—
706#11745660—41no—
707#11745659—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—42no—
714C23×C59—81no—
715C23×C59—81no—
716C23×C59—81no—
717C23×C59—81no—
718C23×C59—81no—
719C23×C59C22×D411yescharacteristic
720C23×C59C22×D411yescharacteristic
721C22×D59—21no—
722C22×D59—21no—
723C22×D59—21no—
724C22×D59—42no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59C22×D411yescharacteristic
731Q8×C59—81no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—41no—
741D4×C59—42no—
742D4×C59—81no—
743D4×C59—81no—
744D4×C59—81no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59—81no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—81no—
758C2×C4×C59—81no—
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C2511yescharacteristic
764C22⋊D59—41no—
765C22⋊D59—41no—
766C22⋊D59—42no—
767C22⋊D59—42no—
768C22⋊D59—42no—
769C22⋊D59—42no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C22⋊D59—81no—
784C22⋊D59—81no—
785C22⋊D59—81no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—41no—
792C2×Dic59—41no—
793C2×Dic59—42no—
794C2×Dic59—42no—
795C2×Dic59—42no—
796C2×Dic59—81no—
797C2×Dic59—81no—
798C2×Dic59—81no—
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802C2×Dic59C22×D411yescharacteristic
803C2×Dic59C22×D411yescharacteristic
804C2×Dic59C22×D411yescharacteristic
805C2×Dic59C22×D411yescharacteristic
806D236—21no—
807D236—21no—
808D236—21no—
809D236—21no—
810D236—21no—
811D236—21no—
812D236—81no—
813D236—81no—
814D236—81no—
815C4×D59—21no—
816C4×D59—21no—
817C4×D59—42no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824Dic118—21no—
825Dic118—21no—
826Dic118—21no—
827Dic118—21no—
828Dic118—21no—
829Dic118—41no—
830Dic118—42no—
831Dic118H(5,𝔽2)12yes—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62081—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—21no—
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—162no—
860C22×C59—162no—
861C22×C59C23×D411yescharacteristic
862C2×D59—21no—
863C2×D59—21no—
864C2×D59—21no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—162no—
875C2×D59—162no—
876C4×C59—21no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—41no—
881C4×C59—41no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59C2×H(5,𝔽2)11yescharacteristic
885C4×C59#58511yescharacteristic
886Dic59—21no—
887Dic59—21no—
888Dic59—21no—
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—22no—
893Dic59—21no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898#3543—591no—
899#3524—591no—
900#3403—591no—
901#3399—591no—
902#3371—591no—
903#3368—591no—
904#3325D5911yescharacteristic, complemented
905#3323—591no—
906#3319—591no—
907#3318—591no—
908#3310—591no—
909#3309—591no—
910#3275—591no—
911#3274—591no—
912#3271—591no—
913#3268—591no—
914#3265—591no—
915#3265—591no—
916#3259—591no—
917#3257—591no—
918#3256—591no—
919#3224—591no—
920#3220—591no—
921#3217—591no—
922#3126—591no—
923#3119—591no—
924#3111—591no—
925#3045—591no—
926#3043—591no—
927#3038—591no—
928#2995—591no—
929C2×C59—41no—
930C2×C59—41no—
931C2×C59—81no—
932C2×C59—81no—
933C2×C59—81no—
934C2×C59—81no—
935C2×C59#348811yescharacteristic
936C2×C59#358511yescharacteristic
937C2×C59#358511yescharacteristic
938D59—41no—
939D59—81no—
940D59—81no—
941D59—81no—
942C2×#137—591no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×#135—591no—
947C22×SD16—591no—
948#560—1181no—
949#560—1181no—
950#559—591no—
951#559—591no—
952#559—1181no—
953#557—591no—
954#555—1181no—
955#555C2×D5911yescharacteristic, complemented
956#553—591no—
957#553—1181no—
958#552—591no—
959#552—1181no—
960#550—591no—
961#550—591no—
962#550—591no—
963#548—591no—
964#548—591no—
965#546—591no—
966#546—591no—
967#546—1181no—
968D42—591no—
969D42—591no—
970D42—1181no—
971D42C2×D5911yescharacteristic
972#542—591no—
973#542—1181no—
974#540—591no—
975#540—591no—
976#540—591no—
977#540—1181no—
978#540—1181no—
979#535—591no—
980#535—591no—
981#535—1181no—
982#534—1181no—
983#534—1181no—
984C2×#127—591no—
985#529—591no—
986#529—591no—
987#529—591no—
988#529—1181no—
989#529—1181no—
990#520—591no—
991#519—591no—
992C4×#41—591no—
993#496—591no—
994#496—591no—
995#496—591no—
996#496—591no—
997#495—591no—
998#493—591no—
999#490—591no—
1000#490—591no—
1001#490—591no—
1002#489—591no—
1003#488—591no—
1004#486C2×D5911yescharacteristic, complemented
1005#485—591no—
1006#482—591no—
1007#482C2×D5911yescharacteristic
1008#482C2×D5911yescharacteristic, complemented
1009#481—591no—
1010#480—591no—
1011#479—591no—
1012#479—591no—
1013#479—591no—
1014#478—591no—
1015#478—591no—
1016#478—591no—
1017#478—591no—
1018#478—591no—
1019#476C2×D5911yescharacteristic, complemented
1020#474—591no—
1021#470—591no—
1022#469—591no—
1023#469—591no—
1024#469C2×D5911yescharacteristic
1025#469C2×D5911yescharacteristic, complemented
1026#468—591no—
1027#468—591no—
1028#468—591no—
1029#466—591no—
1030#466—591no—
1031#466—591no—
1032#465—591no—
1033#464—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464—591no—
1038#464—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#460—591no—
1046#460—591no—
1047#460—591no—
1048#460—591no—
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460—591no—
1053#460—591no—
1054#459—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#459C2×D5911yescharacteristic, complemented
1063#452—591no—
1064#452—591no—
1065#450—591no—
1066#450—591no—
1067#450—591no—
1068#449—591no—
1069#449—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449—591no—
1074#448—591no—
1075#448—591no—
1076#447—591no—
1077#447—591no—
1078#447—591no—
1079#447C2×D5911yescharacteristic, complemented
1080#447C2×D5911yescharacteristic, complemented
1081#446—591no—
1082#446—591no—
1083#442—591no—
1084#442—591no—
1085#441—591no—
1086#440—591no—
1087#440—591no—
1088#440—591no—
1089#440—591no—
1090#440—591no—
1091C4×SD16—591no—
1092C4×SD16—591no—
1093C4×SD16—591no—
1094C4×D8C2×D5911yescharacteristic, complemented
1095#436—591no—
1096#436C2×D5911yescharacteristic, complemented
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#433—591no—
1102#433—591no—
1103#432—591no—
1104#424—591no—
1105#424—591no—
1106#423—591no—
1107#418—591no—
1108#418C2×D5911yescharacteristic, complemented
1109#418C2×D5911yescharacteristic, complemented
1110#417—591no—
1111#416—591no—
1112C2×#102—591no—
1113C59#6208111yescharacteristic, complemented, Sylow
1114C2×#41—591no—
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—591no—
1118C2×#41—1181no—
1119C22×Q8—591no—
1120C22×D4—21no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—1181no—
1124C22×D4—1181no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4C22×D5911yescharacteristic
1128C22×D4C22×D5911yescharacteristic
1129#137—2362no—
1130AGL(1,ℤ/8)—2362no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133#135—2362no—
1134C2×Q16—591no—
1135C2×Q16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16—591no—
1145C2×SD16—591no—
1146C2×SD16—591no—
1147C2×SD16—591no—
1148C2×SD16—2362no—
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8C22×D5911yescharacteristic
1157C2×D8C22×D5911yescharacteristic
1158C2×D8C22×D5911yescharacteristic
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16C22×D5911yescharacteristic
1162C2×M16C22×D5911yescharacteristic
1163C22×C8—591no—
1164C22×C8—591no—
1165C4⋊Q8—1181no—
1166C4⋊Q8C22×D5911yescharacteristic
1167#127—591no—
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—591no—
1173#127—1181no—
1174#127—1181no—
1175#127—1181no—
1176#127—1181no—
1177#127C22×D5911yescharacteristic
1178#126—591no—
1179#126—591no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#125—591no—
1186#125—591no—
1187#125—591no—
1188#125—591no—
1189#125—1181no—
1190#125—1181no—
1191#125—1181no—
1192#124—21no—
1193#124—21no—
1194#124—591no—
1195#124—591no—
1196#124—591no—
1197#124—591no—
1198#124—591no—
1199#124—591no—
1200#124—1181no—
1201#124—1181no—
1202#124—1181no—
1203#124—1181no—
1204#124—1181no—
1205#123—591no—
1206#123—591no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231#121—21no—
1232#121—21no—
1233#121—591no—
1234#121—591no—
1235#121—591no—
1236#121—591no—
1237#121—591no—
1238#121—591no—
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#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121C22×D5911yescharacteristic
1264#121C22×D5911yescharacteristic
1265#121C22×D5911yescharacteristic
1266#121C22×D5911yescharacteristic
1267#120—21no—
1268#120—21no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279C4×Q8—591no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—591no—
1285C4×Q8—591no—
1286C4×Q8—591no—
1287C4×Q8—1181no—
1288C4×Q8—1181no—
1289C4×Q8—1181no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4—1181no—
1312C4×D4C22×D5911yescharacteristic
1313C4×D4C22×D5911yescharacteristic
1314C4×D4C22×D5911yescharacteristic
1315#117—21no—
1316#117—591no—
1317#117—591no—
1318#117—1181no—
1319#117—1181no—
1320#117—1181no—
1321#117—1181no—
1322#117—1181no—
1323#117—1181no—
1324#117—1181no—
1325#117C22×D5911yescharacteristic
1326#117C22×D5911yescharacteristic
1327C2×C4⋊C4—591no—
1328C2×C4⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C42—591no—
1332C2×C42—1181no—
1333#107—591no—
1334#107—591no—
1335#107—591no—
1336#107C22×D5911yescharacteristic
1337#106—591no—
1338#106—591no—
1339#106C22×D5911yescharacteristic
1340#106C22×D5911yescharacteristic
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8—591no—
1350C4⋊C8C22×D5911yescharacteristic
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102C22×D5911yescharacteristic
1374#102C22×D5911yescharacteristic
1375#102C22×D5911yescharacteristic
1376#102C22×D5911yescharacteristic
1377#102C22×D5911yescharacteristic
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8C22×D5911yescharacteristic
1388C22⋊C8C22×D5911yescharacteristic
1389#97—591no—
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393C4×C8—591no—
1394C4×C8C22×D5911yescharacteristic
1395C24—21no—
1396C24—21no—
1397C24—1181no—
1398C24—1181no—
1399#41—1182no—
1400#41—1182no—
1401#41—4722no—
1402#41—2361no—
1403#41—2361no—
1404#41—2361no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408C2×Q8—21no—
1409C2×Q8—591no—
1410C2×Q8—591no—
1411C2×Q8—591no—
1412C2×Q8—591no—
1413C2×Q8—1182no—
1414C2×Q8—1181no—
1415C2×Q8—2361no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—41no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—41no—
1428C2×D4—82no—
1429C2×D4—591no—
1430C2×D4—591no—
1431C2×D4—591no—
1432C2×D4—591no—
1433C2×D4—591no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—4722no—
1458C2×D4—4722no—
1459C2×D4—4722no—
1460C2×D4—4722no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
1465C2×D4D4×D5911yescharacteristic
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C2×D4C23×D5911yescharacteristic
1469C2×D4C23×D5911yescharacteristic
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—591no—
1473C22×C4—591no—
1474C22×C4—591no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4C23×D5911yescharacteristic
1489C22×C4C23×D5911yescharacteristic
1490Q16—1182no—
1491Q16—2361no—
1492SD16—1182no—
1493SD16—1182no—
1494SD16—1182no—
1495SD16—1182no—
1496SD16—1182no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502SD16—2361no—
1503SD16—2361no—
1504D8—41no—
1505D8—41no—
1506D8—41no—
1507D8—2361no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513D8—2361no—
1514M16—41no—
1515M16—41no—
1516M16—2361no—
1517M16—2361no—
1518C2×C8—591no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—2361no—
1523C2×C8—2361no—
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C2×C8C23×D5911yescharacteristic
1528C4⋊C4—21no—
1529C4⋊C4—591no—
1530C4⋊C4—591no—
1531C4⋊C4—591no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4D4×D5911yescharacteristic
1558C4⋊C4C23×D5911yescharacteristic
1559C4⋊C4C23×D5911yescharacteristic
1560C4⋊C4C23×D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—591no—
1571C22⋊C4—591no—
1572C22⋊C4—591no—
1573C22⋊C4—591no—
1574C22⋊C4—591no—
1575C22⋊C4—591no—
1576C22⋊C4—591no—
1577C22⋊C4—591no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4D4×D5911yescharacteristic
1604C22⋊C4D4×D5911yescharacteristic
1605C42—21no—
1606C42—21no—
1607C42—591no—
1608C42—591no—
1609C42—591no—
1610C42—591no—
1611C42—591no—
1612C42—1181no—
1613C42—1181no—
1614C42—1181no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42—1181no—
1619C42C23×D5911yescharacteristic
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—42no—
1625C23—81no—
1626C23—81no—
1627C23—81no—
1628C23—81no—
1629C23—81no—
1630C23—591no—
1631C23—1181no—
1632C23—1181no—
1633C23—1181no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—2362no—
1640C23C2×D4×D5911yescharacteristic
1641C23C2×D4×D5911yescharacteristic
1642Q8—81no—
1643Q8—592no—
1644Q8—1181no—
1645Q8—1181no—
1646Q8—1181no—
1647Q8—1181no—
1648Q8—1181no—
1649Q8—2361no—
1650Q8—2362no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—41no—
1660D4—42no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—81no—
1667D4—81no—
1668D4—1181no—
1669D4—1181no—
1670D4—1181no—
1671D4—1181no—
1672D4—1181no—
1673D4—1181no—
1674D4—4721no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—4721no—
1691D4—4721no—
1692D4—4721no—
1693D4—2361no—
1694D4—2361no—
1695D4—2362no—
1696D4—2362no—
1697D4—2362no—
1698D4—2362no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—81no—
1708C2×C4—81no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—591no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—2362no—
1733C2×C4—2361no—
1734C2×C4—2361no—
1735C2×C4—2362no—
1736C2×C4—2362no—
1737C2×C4—2362no—
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C24×D5911yescharacteristic
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—1181no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—21no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—162no—
1770C22—162no—
1771C22—1181no—
1772C22—1181no—
1773C22—1181no—
1774C22—9442no—
1775C22—9442no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22C22×D4×D5911yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—21no—
1789C4—21no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—1181no—
1795C4—1182no—
1796C4—1181no—
1797C4—1181no—
1798C4—1181no—
1799C4—1181no—
1800C4—1181no—
1801C4—1181no—
1802C4—2361no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4H(5,𝔽2)×D5911yescharacteristic
1807C4#1683823811yescharacteristic
1808C2—41no—
1809C2—41no—
1810C2—81no—
1811C2—81no—
1812C2—81no—
1813C2—81no—
1814C2—4721no—
1815C2—4721no—
1816C2—4721no—
1817C2—2361no—
1818C2#2143775911yescharacteristic
1819C2#2143887111yescharacteristic
1820C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3325C2
socleC22×C59C23×D4
hypercenter#3325D59
hypocenterC59#62081
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3325

Complements

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

NH ≅ G/Ntype
1. #21438421C2semidirect
2. #21438196C2semidirect
3. #21437182C2semidirect
4. #21437141C2semidirect
5. #21436871C2semidirect
6. #21436830C2semidirect
7. #21436308C2semidirect
8. #21436246C2semidirect
9. #21436238C2semidirect
10. #21436120C2semidirect
11. #21436100C2semidirect
12. #21435732C2semidirect
13. #21435713C2semidirect
14. #21435688C2semidirect
15. #21435634C2semidirect
16. #21435595C2semidirect
17. #21435587C2semidirect
18. #21435532C2semidirect
19. #21435506C2semidirect
20. #21435491C2semidirect
21. #21435193C2semidirect
22. #21435142C2semidirect
23. #21435112C2semidirect
24. #21434383C2semidirect
25. #21434291C2semidirect
26. #21434200C2semidirect
27. #21433630C2semidirect
28. #21433616C2semidirect
29. #21433575C2semidirect
30. #21433260C2semidirect
31. C59×#3325C2semidirect
32. C2×#14273760C22semidirect
33. C2×#14273755C22semidirect
34. C2×#14273753C22semidirect
35. C2×#14273751C22semidirect
36. C2×#14273746C22semidirect
37. C22×#11745670C22semidirect
41. #16838135C22semidirect
43. #16838127C22semidirect
45. #16838096C22semidirect
47. #16838091C22semidirect
51. #16838070C22semidirect
52. #16838061C22semidirect
53. #16838058C22semidirect
60. #16838026C22semidirect
63. #16838005C22semidirect
74. #16837933C22semidirect
78. #16837881C22semidirect
79. #16837879C22semidirect
80. #16837870C22semidirect
82. #16837790C22semidirect
83. #16837790C22semidirect
84. #16837789C22semidirect
85. #16837786C22semidirect
86. #16837777C22semidirect
88. #16837765C22semidirect
89. #16837765C22semidirect
90. #16837764C22semidirect
91. #16837755C22semidirect
92. #16837743C22semidirect
93. #16837726C22semidirect
94. #16837719C22semidirect
95. #16837717C22semidirect
96. #16837712C22semidirect
97. #16837712C22semidirect
98. #16837708C22semidirect
99. #16837704C22semidirect
100. #16837704C22semidirect
101. #16837704C22semidirect
102. #16837701C22semidirect
103. #16837701C22semidirect
104. #16837679C22semidirect
105. #16837660C22semidirect
106. #16837656C22semidirect
107. #16837655C22semidirect
108. #16837647C22semidirect
110. #16837646C22semidirect
111. #16837637C22semidirect
112. #16837636C22semidirect
113. #16837636C22semidirect
114. #16837632C22semidirect
115. #16837625C22semidirect
116. #16837623C22semidirect
117. #16837623C22semidirect
118. #16837623C22semidirect
119. #16837623C22semidirect
120. #16837623C22semidirect
121. #16837618C22semidirect
122. #16837617C22semidirect
123. #16837617C22semidirect
124. #16837616C22semidirect
125. #16837615C22semidirect
126. #16837615C22semidirect
128. #16837601C22semidirect
129. #16837601C22semidirect
130. #16837601C22semidirect
131. #16837601C22semidirect
132. #16837601C22semidirect
133. #16837601C22semidirect
134. #16837601C22semidirect
135. #16837599C22semidirect
137. #16837596C22semidirect
138. #16837596C22semidirect
139. #16837596C22semidirect
140. #16837596C22semidirect
141. #16837595C22semidirect
142. #16837595C22semidirect
143. #16837595C22semidirect
144. #16837566C22semidirect
145. #16837565C22semidirect
146. #16837555C22semidirect
147. #16837554C22semidirect
148. #16837553C22semidirect
149. #16837549C22semidirect
150. #16837548C22semidirect
151. #16837548C22semidirect
153. #16837545C22semidirect
154. #16837544C22semidirect
155. #16837543C22semidirect
156. #16837540C22semidirect
157. #16837537C22semidirect
158. #16837536C22semidirect
159. #16837535C22semidirect
160. #16837532C22semidirect
161. #16837531C22semidirect
162. #16837512C22semidirect
163. #16837511C22semidirect
164. #16837508C22semidirect
165. #16837502C22semidirect
166. #16837501C22semidirect
167. #16837501C22semidirect
168. #16837499C22semidirect
169. #16837499C22semidirect
170. #16837493C22semidirect
171. C4×#11745660C22semidirect
172. #16837489C22semidirect
173. #16837478C22semidirect
174. #16837476C22semidirect
175. #16837474C22semidirect
176. #16837471C22semidirect
177. #16837470C22semidirect
178. #16837461C22semidirect
179. #16837460C22semidirect
180. #16837456C22semidirect
181. #16837430C22semidirect
182. #16837427C22semidirect
183. #16837425C22semidirect
184. #16837406C22semidirect
185. #16837400C22semidirect
186. #16837396C22semidirect
187. #102×D59C22semidirect
188. C59×#555C22semidirect
190. C59×#486C22semidirect
192. C59×#482C22semidirect
193. C59×#476C22semidirect
195. C59×#469C22semidirect
196. C59×#459C22semidirect
197. C59×#447C22semidirect
198. C59×#447C22semidirect
199. C4×D8×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#418C22semidirect
202. C59×#418C22semidirect
904. #3325D59semidirect
955. #555C2×D59semidirect
1004. #486C2×D59semidirect
1008. #482C2×D59semidirect
1019. #476C2×D59semidirect
1025. #469C2×D59semidirect
1062. #459C2×D59semidirect
1079. #447C2×D59semidirect
1080. #447C2×D59semidirect
1094. C4×D8C2×D59semidirect
1096. #436C2×D59semidirect
1108. #418C2×D59semidirect
1109. #418C2×D59semidirect
1113. C59#62081semidirect

Maximal subgroups

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

subgroupindex
#214384212
#214381962
#214371822
#214371412
#214368712
#214368302
#214363082
#214362462
#214362382
#214361202
#214361002
#214357322
#214357132
#214356882
#214356342
#214355952
#214355872
#214355322
#214355062
#214354912
#214351932
#214351422
#214351122
#214343832
#214342912
#214342002
#214336302
#214336162
#214335752
#214332602
C59×#33252
#6208159