Finite Group Databasebeta

← #29475709

Subgroups — #29475709

Order 15104.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438523C211yesmaximal, characteristic, complemented
2#21436312C211yesmaximal, characteristic, complemented
3#21436297C211yesmaximal, characteristic, complemented
4#21436237C211yesmaximal, characteristic, complemented
5#21436192C211yesmaximal, characteristic, complemented
6#21436117C211yesmaximal, characteristic, complemented
7#21436072C211yesmaximal, characteristic, complemented
8#21435946C211yesmaximal, characteristic, complemented
9#21435931C211yesmaximal, characteristic, complemented
10#21435799C211yesmaximal, characteristic, complemented
11#21435777C211yesmaximal, characteristic, complemented
12#21435723C211yesmaximal, characteristic, complemented
13#21435703C211yesmaximal, characteristic, complemented
14#21435647C211yesmaximal, characteristic, complemented
15#21435622C211yesmaximal, characteristic, complemented
16#21435587C211yesmaximal, characteristic, complemented
17#21435572C211yesmaximal, characteristic, complemented
18#21435133C211yesmaximal, characteristic, complemented
19#21435072C211yesmaximal, characteristic, complemented
20#21435002C211yesmaximal, characteristic, complemented
21#21434993C211yesmaximal, characteristic, complemented
22#21434972C211yesmaximal, characteristic, complemented
23#21434942C211yesmaximal, characteristic, complemented
24#21434234C211yesmaximal, characteristic, complemented
25#21434143C211yesmaximal, characteristic, complemented
26#21433400C211yesmaximal, characteristic, complemented
27#21433400C211yesmaximal, characteristic, complemented
28#21433373C211yesmaximal, characteristic, complemented
29#21433364C211yesmaximal, characteristic, complemented
30#21433172C211yesmaximal, characteristic, complemented
31C59×#3496C211yesmaximal, characteristic, complemented
32C2×#14273757C2211yescharacteristic, complemented
33C2×#14273753C2211yescharacteristic, complemented
34C2×#14273753C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic, complemented
36C2×#14273747C2211yescharacteristic, complemented
37C2×#14273747C2211yescharacteristic, complemented
38C22×#11745670C2211yescharacteristic, complemented
39C22×#11745669C2211yescharacteristic, complemented
40#16838151—21no—
41#16838139—21no—
42#16838114—21no—
43#16838098C2211yescharacteristic, complemented
44#16838098C2211yescharacteristic, complemented
45#16838092C2211yescharacteristic, complemented
46#16838092C2211yescharacteristic, complemented
47#16838082—21no—
48#16838061C2211yescharacteristic, complemented
49#16838061C2211yescharacteristic, complemented
50#16838048C2211yescharacteristic, complemented
51#16838048C2211yescharacteristic, complemented
52#16838002—21no—
53#16838002—21no—
54#16837984—21no—
55#16837984—21no—
56#16837980C2211yescharacteristic, complemented
57#16837980C2211yescharacteristic, complemented
58#16837973C2211yescharacteristic, complemented
59#16837966C2211yescharacteristic, complemented
60#16837936C2211yescharacteristic, complemented
61#16837936C2211yescharacteristic, complemented
62#16837794C2211yescharacteristic, complemented
63#16837789C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic, complemented
65#16837784C2211yescharacteristic, complemented
66#16837770C2211yescharacteristic, complemented
67#16837766C2211yescharacteristic, complemented
68#16837756C2211yescharacteristic, complemented
69#16837756C2211yescharacteristic, complemented
70#16837740C2211yescharacteristic, complemented
71#16837740C2211yescharacteristic, complemented
72#16837737C2211yescharacteristic, complemented
73#16837735C2211yescharacteristic, complemented
74#16837732C2211yescharacteristic, complemented
75#16837730C2211yescharacteristic, complemented
76#16837723C2211yescharacteristic, complemented
77#16837723C2211yescharacteristic, complemented
78#16837720C2211yescharacteristic, complemented
79#16837718C2211yescharacteristic, complemented
80#16837715C2211yescharacteristic, complemented
81#16837713C2211yescharacteristic, complemented
82#16837702C2211yescharacteristic, complemented
83#16837702C2211yescharacteristic, complemented
84#16837702C2211yescharacteristic, complemented
85#16837702C2211yescharacteristic, complemented
86#16837658C2211yescharacteristic, complemented
87#16837658C2211yescharacteristic, complemented
88#16837653C2211yescharacteristic, complemented
89#16837653C2211yescharacteristic, complemented
90#16837650C2211yescharacteristic, complemented
91#16837650C2211yescharacteristic, complemented
92#16837646C2211yescharacteristic, complemented
93#16837646C2211yescharacteristic, complemented
94#16837641C2211yescharacteristic, complemented
95#16837641C2211yescharacteristic, complemented
96#16837636C2211yescharacteristic, complemented
97#16837636C2211yescharacteristic, complemented
98#16837633C2211yescharacteristic, complemented
99#16837633C2211yescharacteristic, complemented
100#16837629C2211yescharacteristic, complemented
101#16837629C2211yescharacteristic, complemented
102#16837621C2211yescharacteristic, complemented
103#16837621C2211yescharacteristic, complemented
104#16837617C2211yescharacteristic, complemented
105#16837617C2211yescharacteristic, complemented
106#16837617C2211yescharacteristic, complemented
107#16837617C2211yescharacteristic, complemented
108#16837614C2211yescharacteristic, complemented
109#16837614C2211yescharacteristic, complemented
110#16837609C2211yescharacteristic, complemented
111#16837604C2211yescharacteristic, complemented
112#16837599C2211yescharacteristic, complemented
113#16837594C2211yescharacteristic, complemented
114#16837564C2211yescharacteristic, complemented
115#16837564C2211yescharacteristic, complemented
116#16837564C2211yescharacteristic, complemented
117#16837564C2211yescharacteristic, complemented
118#16837564C2211yescharacteristic, complemented
119#16837564C2211yescharacteristic, complemented
120#16837564C2211yescharacteristic, complemented
121#16837564C2211yescharacteristic, complemented
122#16837562C2211yescharacteristic, complemented
123#16837562C2211yescharacteristic, complemented
124#16837557C2211yescharacteristic, complemented
125#16837553C2211yescharacteristic, complemented
126#16837553C2211yescharacteristic, complemented
127#16837553C2211yescharacteristic, complemented
128#16837553C2211yescharacteristic, complemented
129#16837553C2211yescharacteristic, complemented
130#16837553C2211yescharacteristic, complemented
131#16837552C2211yescharacteristic, complemented
132#16837547C2211yescharacteristic, complemented
133#16837547C2211yescharacteristic, complemented
134#16837547C2211yescharacteristic, complemented
135#16837547C2211yescharacteristic, complemented
136#16837547C2211yescharacteristic, complemented
137#16837547C2211yescharacteristic, complemented
138#16837547C2211yescharacteristic, complemented
139#16837547C2211yescharacteristic, complemented
140#16837545C2211yescharacteristic, complemented
141#16837545C2211yescharacteristic, complemented
142#16837540C2211yescharacteristic, complemented
143#16837536C2211yescharacteristic
144#16837536C2211yescharacteristic
145#16837536C2211yescharacteristic, complemented
146#16837536C2211yescharacteristic, complemented
147#16837536C2211yescharacteristic, complemented
148#16837536C2211yescharacteristic, complemented
149#16837535C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic, complemented
151#16837512C2211yescharacteristic, complemented
152#16837502C2211yescharacteristic, complemented
153#16837502C2211yescharacteristic, complemented
154C4×#11745670C2211yescharacteristic, complemented
155C4×#11745670C2211yescharacteristic, complemented
156C4×#11745669C2211yescharacteristic, complemented
157C4×#11745669C2211yescharacteristic, complemented
158#16837480C2211yescharacteristic, complemented
159#16837480C2211yescharacteristic, complemented
160#16837474C2211yescharacteristic, complemented
161#16837474C2211yescharacteristic, complemented
162#16837474C2211yescharacteristic, complemented
163#16837474C2211yescharacteristic, complemented
164D4×C59⋊C8C2211yescharacteristic, complemented
165D4×C59⋊C8C2211yescharacteristic, complemented
166#16837459C2211yescharacteristic, complemented
167#16837455C2211yescharacteristic, complemented
168#16837407C2211yescharacteristic, complemented
169#16837407C2211yescharacteristic, complemented
170#16837403C2211yescharacteristic, complemented
171#16837403C2211yescharacteristic, complemented
172#16837398C2211yescharacteristic, complemented
173#16837398C2211yescharacteristic, complemented
174C2×#14273648C2211yescharacteristic, complemented
175C2×#14273648C2211yescharacteristic, complemented
176#16837369C2211yescharacteristic, complemented
177#16837369C2211yescharacteristic, complemented
178#16837369C2211yescharacteristic, complemented
179#16837369C2211yescharacteristic, complemented
180C2×H(5,𝔽2)×C59C2211yescharacteristic
181C2×H(5,𝔽2)×C59C2211yescharacteristic, complemented
182C59×#547—21no—
183C59×#547C2211yescharacteristic
184C59×#547C2211yescharacteristic, complemented
185C59×#546—21no—
186C59×#546—21no—
187C59×#546C2211yescharacteristic
188C59×#546C2211yescharacteristic
189C59×#546C2211yescharacteristic, complemented
190C59×#546C2211yescharacteristic, complemented
191D42×C59—21no—
192D42×C59C2211yescharacteristic
193D42×C59C2211yescharacteristic, complemented
194C59×#537C2211yescharacteristic
195C59×#537C2211yescharacteristic, complemented
196C59×#534—21no—
197C59×#534—21no—
198C59×#532C2211yescharacteristic
199C59×#532C2211yescharacteristic, complemented
200C2×#121×C59—21no—
201C2×#121×C59—21no—
202C2×C4×D4×C59C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C22×Dic118C2311yescharacteristic
206C22×D236C2311yescharacteristic
207#14273757—42no—
208#14273753—42no—
209#14273753—42no—
210#14273752—42no—
211#14273747—42no—
212#14273747—42no—
213C2×#11745672C2311yescharacteristic
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745670—42no—
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745669—42no—
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745664C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745664C2311yescharacteristic
242C2×#11745664C2311yescharacteristic
243C22×C59⋊C8C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245C22×C59⋊C8C2311yescharacteristic
246C22×C59⋊C8C2311yescharacteristic
247#14273725—21no—
248#14273723—21no—
249#14273722—21no—
250#14273722—21no—
251#14273721—21no—
252#14273721—21no—
253#14273720—21no—
254#14273720—21no—
255#14273719C2311yescharacteristic
256#14273719C2311yescharacteristic
257#14273717—21no—
258#14273717—21no—
259#14273716—21no—
260#14273715C2311yescharacteristic
261#14273715C2311yescharacteristic
262#14273714—21no—
263#14273713—21no—
264#14273713—21no—
265#14273712—21no—
266#14273712—21no—
267#14273710—21no—
268#14273710—21no—
269#14273709—21no—
270#14273709—21no—
271#14273708—21no—
272#14273708—21no—
273#14273708—21no—
274#14273708—21no—
275#14273706C2311yescharacteristic
276#14273706C2311yescharacteristic
277#14273706C2311yescharacteristic
278#14273706C2311yescharacteristic
279#14273706C2311yescharacteristic
280#14273706C2311yescharacteristic
281#14273705—21no—
282#14273705—21no—
283#14273703—21no—
284#14273703—21no—
285#14273701C2311yescharacteristic
286#14273701C2311yescharacteristic
287#14273701C2311yescharacteristic
288#14273701C2311yescharacteristic
289#14273701C2311yescharacteristic
290#14273701C2311yescharacteristic
291#14273700—21no—
292#14273700—21no—
293#14273699—21no—
294#14273699—21no—
295#14273699—21no—
296#14273699—21no—
297#14273699—21no—
298#14273699—21no—
299#14273699—21no—
300#14273699—21no—
301#14273698—21no—
302#14273698—21no—
303#14273695—21no—
304#14273695—21no—
305#14273695—21no—
306#14273695—21no—
307C4×Dic118C2311yescharacteristic
308C4×Dic118C2311yescharacteristic
309C4×D236C2311yescharacteristic
310C4×D236C2311yescharacteristic
311C4×C22⋊D59—21no—
312C4×C22⋊D59—21no—
313(C22⋊D59)⋊C4—21no—
314(C22⋊D59)⋊C4—21no—
315(C22⋊D59)⋊C4—21no—
316(C22⋊D59)⋊C4—21no—
317#14273686C2311yescharacteristic
318#14273686C2311yescharacteristic
319#14273684—21no—
320#14273684—21no—
321#14273683—21no—
322#14273683—21no—
323C2×C4⋊Dic59C2311yescharacteristic
324C2×C4⋊Dic59C2311yescharacteristic
325C22⋊C4×D59—21no—
326C22⋊C4×D59—21no—
327#14273660C2311yescharacteristic
328#14273660C2311yescharacteristic
329#14273660C2311yescharacteristic
330#14273660C2311yescharacteristic
331#14273658C2311yescharacteristic
332#14273658C2311yescharacteristic
333#14273658C2311yescharacteristic
334#14273658C2311yescharacteristic
335C4⋊(C59⋊C8)C2311yescharacteristic
336C4⋊(C59⋊C8)C2311yescharacteristic
337C4⋊(C59⋊C8)C2311yescharacteristic
338C4⋊(C59⋊C8)C2311yescharacteristic
339#14273651C2311yescharacteristic
340#14273651C2311yescharacteristic
341#14273651C2311yescharacteristic
342#14273651C2311yescharacteristic
343#14273651C2311yescharacteristic
344#14273651C2311yescharacteristic
345#14273651C2311yescharacteristic
346#14273651C2311yescharacteristic
347#14273650C2311yescharacteristic
348#14273650C2311yescharacteristic
349#14273650C2311yescharacteristic
350#14273650C2311yescharacteristic
351#14273648C2311yescharacteristic
352#14273648C2311yescharacteristic
353#14273648C2311yescharacteristic
354#14273648C2311yescharacteristic
355#14273648C2311yescharacteristic
356#14273648C2311yescharacteristic
357#14273648C2311yescharacteristic
358#14273648C2311yescharacteristic
359#14273648C2311yescharacteristic
360#14273648C2311yescharacteristic
361#14273648C2311yescharacteristic
362#14273648C2311yescharacteristic
363#14273648C2311yescharacteristic
364#14273648C2311yescharacteristic
365#14273648C2311yescharacteristic
366#14273648C2311yescharacteristic
367#14273647C2311yescharacteristic
368#14273647C2311yescharacteristic
369#14273647C2311yescharacteristic
370#14273647C2311yescharacteristic
371C22⋊(C59⋊C8)C2311yescharacteristic
372C22⋊(C59⋊C8)C2311yescharacteristic
373C22⋊(C59⋊C8)C2311yescharacteristic
374C22⋊(C59⋊C8)C2311yescharacteristic
375C22⋊(C59⋊C8)C2311yescharacteristic
376C22⋊(C59⋊C8)C2311yescharacteristic
377C22⋊(C59⋊C8)C2311yescharacteristic
378C22⋊(C59⋊C8)C2311yescharacteristic
379C22⋊(C59⋊C8)C2311yescharacteristic
380C22⋊(C59⋊C8)C2311yescharacteristic
381C22⋊(C59⋊C8)C2311yescharacteristic
382C22⋊(C59⋊C8)C2311yescharacteristic
383#14273638C2311yescharacteristic
384#14273638C2311yescharacteristic
385C4×C59⋊C8C2311yescharacteristic
386C4×C59⋊C8C2311yescharacteristic
387H(5,𝔽2)×C59—42no—
388H(5,𝔽2)×C59—42no—
389H(5,𝔽2)×C59—42no—
390H(5,𝔽2)×C59—42no—
391C2×#41×C59—21no—
392C2×#41×C59—21no—
393C2×#41×C59C2311yescharacteristic
394C2×#41×C59C2311yescharacteristic
395C2×#41×C59C2311yescharacteristic
396C2×#41×C59C2311yescharacteristic
397C2×#41×C59C2311yescharacteristic
398C2×#41×C59C2311yescharacteristic
399C2×#41×C59C2311yescharacteristic
400C2×#41×C59C2311yescharacteristic
401C22×D4×C59—21no—
402C22×D4×C59—21no—
403C22×D4×C59—21no—
404C22×D4×C59—21no—
405C22×D4×C59—21no—
406C22×D4×C59—21no—
407C22×D4×C59—21no—
408C22×D4×C59—21no—
409C22×D4×C59C2311yescharacteristic
410C22×D4×C59C2311yescharacteristic
411C22×D4×C59C2311yescharacteristic
412C22×D4×C59C2311yescharacteristic
413C22×D4×C59C2311yescharacteristic
414C23×C4×C59—21no—
415C4⋊Q8×C59D411yescharacteristic
416C4⋊Q8×C59C2311yescharacteristic
417#127×C59D411yescharacteristic
418#127×C59C2311yescharacteristic
419#124×C59D411yescharacteristic
420#124×C59D411yescharacteristic
421#124×C59C2311yescharacteristic
422#124×C59C2311yescharacteristic
423#123×C59—21no—
424#123×C59—21no—
425#123×C59—21no—
426#123×C59—21no—
427#123×C59—21no—
428#123×C59—21no—
429#123×C59—21no—
430#123×C59—21no—
431C22⋊Q8×C59—21no—
432C22⋊Q8×C59—21no—
433C22⋊Q8×C59C2311yescharacteristic
434C22⋊Q8×C59C2311yescharacteristic
435C22⋊Q8×C59C2311yescharacteristic
436C22⋊Q8×C59C2311yescharacteristic
437#121×C59—21no—
438#121×C59—21no—
439#121×C59—21no—
440#121×C59—21no—
441#121×C59—21no—
442#121×C59—21no—
443#121×C59—21no—
444#121×C59—21no—
445#121×C59—21no—
446#121×C59—21no—
447#121×C59—21no—
448#121×C59—21no—
449#121×C59—21no—
450#121×C59—21no—
451#121×C59—21no—
452#121×C59—21no—
453#121×C59D411yescharacteristic
454#121×C59D411yescharacteristic
455#121×C59D411yescharacteristic
456#121×C59D411yescharacteristic
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459#121×C59C2311yescharacteristic
460#121×C59C2311yescharacteristic
461#120×C59—21no—
462#120×C59—21no—
463#120×C59—21no—
464#120×C59—21no—
465#120×C59—21no—
466#120×C59—21no—
467#120×C59—21no—
468#120×C59—21no—
469C4×D4×C59—21no—
470C4×D4×C59—21no—
471C4×D4×C59—21no—
472C4×D4×C59—21no—
473C4×D4×C59C2311yescharacteristic
474C4×D4×C59C2311yescharacteristic
475C4×D4×C59C2311yescharacteristic
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C4×D4×C59C2311yescharacteristic
479C4×D4×C59C2311yescharacteristic
480C4×D4×C59C2311yescharacteristic
481C2×C4⋊C4×C59—21no—
482C2×C4⋊C4×C59—21no—
483C2×C4⋊C4×C59C2311yescharacteristic
484C2×C22⋊C4×C59—21no—
485C2×C22⋊C4×C59—21no—
486C2×C22⋊C4×C59—21no—
487C2×C22⋊C4×C59—21no—
488C2×C22⋊C4×C59—21no—
489C2×C42×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—21no—
492C24×C59—21no—
493C24×C59—21no—
494C24×C59—21no—
495C23×D59—21no—
496#41×C59—22no—
497#41×C59—22no—
498#41×C59—22no—
499#41×C59—22no—
500#41×C59—41no—
501#41×C59—41no—
502#41×C59—41no—
503#41×C59—41no—
504#41×C59—41no—
505#41×C59—41no—
506#41×C59—41no—
507#41×C59—41no—
508#41×C59—41no—
509#41×C59—41no—
510#41×C59—41no—
511#41×C59—41no—
512#41×C59—44no—
513#41×C59—44no—
514C2×Q8×C59C2×D411yescharacteristic
515C2×Q8×C59C2×D411yescharacteristic
516C2×Q8×C59C2411yescharacteristic
517C2×Q8×C59C2411yescharacteristic
518C2×D4×C59—22no—
519C2×D4×C59—22no—
520C2×D4×C59—22no—
521C2×D4×C59—22no—
522C2×D4×C59—22no—
523C2×D4×C59—22no—
524C2×D4×C59—21no—
525C2×D4×C59—21no—
526C2×D4×C59—21no—
527C2×D4×C59—21no—
528C2×D4×C59—21no—
529C2×D4×C59—21no—
530C2×D4×C59—21no—
531C2×D4×C59—21no—
532C2×D4×C59—21no—
533C2×D4×C59—21no—
534C2×D4×C59—21no—
535C2×D4×C59—21no—
536C2×D4×C59—21no—
537C2×D4×C59—21no—
538C2×D4×C59—21no—
539C2×D4×C59—21no—
540C2×D4×C59—21no—
541C2×D4×C59—41no—
542C2×D4×C59—41no—
543C2×D4×C59—41no—
544C2×D4×C59—41no—
545C2×D4×C59—44no—
546C2×D4×C59—44no—
547C2×D4×C59—44no—
548C2×D4×C59—44no—
549C2×D4×C59—44no—
550C2×D4×C59—44no—
551C2×D4×C59—82no—
552C2×D4×C59—82no—
553C2×D4×C59C2×D411yescharacteristic
554C2×D4×C59C2×D411yescharacteristic
555C2×D4×C59C2×D411yescharacteristic
556C2×D4×C59C2×D411yescharacteristic
557C2×D4×C59C2×D411yescharacteristic
558C2×D4×C59C2×D411yescharacteristic
559C2×D4×C59C2×D411yescharacteristic
560C2×D4×C59C2×D411yescharacteristic
561C2×D4×C59C2×D411yescharacteristic
562C2×D4×C59C2×D411yescharacteristic
563C2×D4×C59C2411yescharacteristic
564C2×D4×C59C2411yescharacteristic
565C2×D4×C59C2411yescharacteristic
566C2×D4×C59C2411yescharacteristic
567C22×C4×C59—21no—
568C22×C4×C59—21no—
569C22×C4×C59—21no—
570C22×C4×C59—21no—
571C22×C4×C59—21no—
572C22×C4×C59—21no—
573C22×C4×C59—21no—
574C22×C4×C59—21no—
575C22×C4×C59—21no—
576C22×C4×C59—21no—
577C22×C4×C59—21no—
578C22×C4×C59—82no—
579C22×C4×C59C2×D411yescharacteristic
580C22×C4×C59C2×D411yescharacteristic
581C22×C4×C59C2411yescharacteristic
582C22×C4×C59C2411yescharacteristic
583C22×C4×C59C2411yescharacteristic
584C22×C4×C59C2411yescharacteristic
585C22×C4×C59C2411yescharacteristic
586C2×C22⋊D59—21no—
587C2×C22⋊D59—21no—
588C2×C22⋊D59—21no—
589C2×C22⋊D59—21no—
590C2×C22⋊D59—21no—
591C2×C22⋊D59—21no—
592C2×C22⋊D59—21no—
593C2×C22⋊D59—21no—
594C22×Dic59—21no—
595C22×Dic59—21no—
596C22×Dic59—21no—
597#11745685—41no—
598#11745685—41no—
599#11745685—41no—
600#11745685—41no—
601C2×D236—21no—
602C2×D236—41no—
603C2×D236—41no—
604C2×D236C2411yescharacteristic
605C2×D236C2411yescharacteristic
606C2×C4×D59—21no—
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—21no—
610C2×Dic118—21no—
611C2×Dic118—41no—
612C2×Dic118—41no—
613C2×Dic118C2411yescharacteristic
614C2×Dic118C2411yescharacteristic
615C4⋊C4×C59—21no—
616C4⋊C4×C59—21no—
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59—21no—
621C4⋊C4×C59—21no—
622C4⋊C4×C59C2×D411yescharacteristic
623C4⋊C4×C59C2×D411yescharacteristic
624C4⋊C4×C59C2×D411yescharacteristic
625C4⋊C4×C59C2×D411yescharacteristic
626C4⋊C4×C59C2411yescharacteristic
627C4⋊C4×C59C2411yescharacteristic
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C22⋊C4×C59—21no—
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59C2×D411yescharacteristic
645C22⋊C4×C59C2×D411yescharacteristic
646C22⋊C4×C59C2×D411yescharacteristic
647C22⋊C4×C59C2×D411yescharacteristic
648C22⋊C4×C59C2×D411yescharacteristic
649C22⋊C4×C59C2×D411yescharacteristic
650C22⋊C4×C59C2×D411yescharacteristic
651C22⋊C4×C59C2×D411yescharacteristic
652C42×C59C2×D411yescharacteristic
653C42×C59C2×D411yescharacteristic
654C42×C59C2411yescharacteristic
655C42×C59C2411yescharacteristic
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661C22⋊Dic59—21no—
662C22⋊Dic59—21no—
663C22⋊Dic59—21no—
664#11745672—41no—
665#11745672—41no—
666#11745672—41no—
667#11745672—41no—
668#11745671—41no—
669#11745671—41no—
670#11745671—41no—
671#11745671—41no—
672#11745670—22no—
673#11745670—22no—
674#11745670—22no—
675#11745670—22no—
676#11745670—41no—
677#11745670—41no—
678#11745670—41no—
679#11745670—41no—
680#11745669—22no—
681#11745669—22no—
682#11745669—22no—
683#11745669—22no—
684#11745669—41no—
685#11745669—41no—
686#11745669—41no—
687#11745669—41no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4—21no—
698(C2×D59)⋊C4—21no—
699(C2×D59)⋊C4—21no—
700C4⋊Dic59—21no—
701C4⋊Dic59—21no—
702C4⋊Dic59C2411yescharacteristic
703C4⋊Dic59C2411yescharacteristic
704C4⋊Dic59C2411yescharacteristic
705C4⋊Dic59C2411yescharacteristic
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722#11745664—41no—
723#11745664—41no—
724#11745664—41no—
725#11745664—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8—41no—
728C2×C59⋊C8—41no—
729C2×C59⋊C8—41no—
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733C2×C59⋊C8C2411yescharacteristic
734C2×C59⋊C8C2411yescharacteristic
735C2×C59⋊C8C2411yescharacteristic
736C2×C59⋊C8C2411yescharacteristic
737C2×C59⋊C8C2411yescharacteristic
738C23×C59—24no—
739C23×C59—21no—
740C23×C59—21no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—42no—
744C23×C59—42no—
745C23×C59—42no—
746C23×C59—42no—
747C23×C59—81no—
748C23×C59—81no—
749C23×C59—81no—
750C23×C59—81no—
751C23×C59—81no—
752C23×C59—81no—
753C23×C59—81no—
754C23×C59—81no—
755C23×C59—81no—
756C23×C59—81no—
757C23×C59C22×D411yescharacteristic
758C23×C59C22×D411yescharacteristic
759C23×C59C22×D411yescharacteristic
760C23×C59C22×D411yescharacteristic
761C23×C59C22×D411yescharacteristic
762C22×D59—21no—
763C22×D59—21no—
764C22×D59—81no—
765C22×D59—81no—
766C22×D59—81no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—21no—
770Q8×C59—21no—
771Q8×C59—41no—
772Q8×C59—41no—
773D4×C59—24no—
774D4×C59—21no—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—21no—
780D4×C59—41no—
781D4×C59—41no—
782D4×C59—41no—
783D4×C59—41no—
784D4×C59—41no—
785D4×C59—41no—
786D4×C59—41no—
787D4×C59—41no—
788D4×C59—41no—
789D4×C59—41no—
790D4×C59—42no—
791D4×C59—42no—
792D4×C59—42no—
793D4×C59—42no—
794D4×C59—42no—
795D4×C59—42no—
796D4×C59—42no—
797D4×C59—42no—
798D4×C59—42no—
799D4×C59—42no—
800D4×C59—42no—
801D4×C59—81no—
802D4×C59—81no—
803D4×C59—81no—
804D4×C59—81no—
805D4×C59—81no—
806D4×C59H(5,𝔽2)12yes—
807D4×C59H(5,𝔽2)12yes—
808C2×C4×C59—21no—
809C2×C4×C59—21no—
810C2×C4×C59—21no—
811C2×C4×C59—21no—
812C2×C4×C59—21no—
813C2×C4×C59—21no—
814C2×C4×C59—21no—
815C2×C4×C59—21no—
816C2×C4×C59—21no—
817C2×C4×C59—21no—
818C2×C4×C59—21no—
819C2×C4×C59—21no—
820C2×C4×C59—21no—
821C2×C4×C59—21no—
822C2×C4×C59—41no—
823C2×C4×C59—41no—
824C2×C4×C59—42no—
825C2×C4×C59—42no—
826C2×C4×C59—42no—
827C2×C4×C59—42no—
828C2×C4×C59—42no—
829C2×C4×C59—42no—
830C2×C4×C59—42no—
831C2×C4×C59—42no—
832C2×C4×C59—81no—
833C2×C4×C59—81no—
834C2×C4×C59—81no—
835C2×C4×C59C22×D411yescharacteristic
836C2×C4×C59C22×D411yescharacteristic
837C2×C4×C59C22×D411yescharacteristic
838C2×C4×C59C22×D411yescharacteristic
839C2×C4×C59C22×D411yescharacteristic
840C2×C4×C59C22×D411yescharacteristic
841C2×C4×C59C22×D411yescharacteristic
842C2×C4×C59C22×D411yescharacteristic
843C2×C4×C59C22×D411yescharacteristic
844C2×C4×C59C2511yescharacteristic
845C22⋊D59—81no—
846C22⋊D59—81no—
847C22⋊D59—81no—
848C22⋊D59—81no—
849C22⋊D59—81no—
850C22⋊D59—81no—
851C22⋊D59—81no—
852C22⋊D59—81no—
853C2×Dic59—21no—
854C2×Dic59—21no—
855C2×Dic59—21no—
856C2×Dic59—21no—
857C2×Dic59—21no—
858C2×Dic59—21no—
859C2×Dic59—81no—
860C2×Dic59—81no—
861C2×Dic59—81no—
862D236—21no—
863D236—21no—
864D236—21no—
865D236—21no—
866D236—81no—
867C4×D59—81no—
868C4×D59—81no—
869C4×D59—81no—
870C4×D59—81no—
871Dic118—21no—
872Dic118—21no—
873Dic118—21no—
874Dic118—21no—
875Dic118—81no—
876C59⋊C8—21no—
877C59⋊C8—21no—
878C59⋊C8—21no—
879C59⋊C8—21no—
880C59⋊C8—21no—
881C59⋊C8—21no—
882C59⋊C8—21no—
883C59⋊C8—21no—
884#61678—591nomaximal, Sylow
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—21no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—21no—
895C22×C59—21no—
896C22×C59—21no—
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—22no—
901C22×C59—22no—
902C22×C59—41no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59—41no—
910C22×C59—41no—
911C22×C59—41no—
912C22×C59—84no—
913C22×C59—162no—
914C22×C59—162no—
915C22×C59—162no—
916C22×C59—162no—
917C22×C59C23×D411yescharacteristic
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—41no—
921C2×D59—41no—
922C2×D59—41no—
923C2×D59—41no—
924C2×D59—162no—
925C4×C59—21no—
926C4×C59—21no—
927C4×C59—21no—
928C4×C59—21no—
929C4×C59—21no—
930C4×C59—21no—
931C4×C59—21no—
932C4×C59—21no—
933C4×C59—21no—
934C4×C59—41no—
935C4×C59—41no—
936C4×C59—41no—
937C4×C59—41no—
938C4×C59C2×H(5,𝔽2)11yescharacteristic
939C4×C59C2×H(5,𝔽2)11yescharacteristic
940Dic59—41no—
941Dic59—41no—
942Dic59—41no—
943Dic59—41no—
944Dic59—41no—
945Dic59—41no—
946#3551—591no—
947#3496D5911yescharacteristic, complemented
948#3323—591no—
949#3322—591no—
950#3318—591no—
951#3315—591no—
952#3310—591no—
953#3307—591no—
954#3297—591no—
955#3296—591no—
956#3282—591no—
957#3280—591no—
958#3275—591no—
959#3273—591no—
960#3269—591no—
961#3267—591no—
962#3265—591no—
963#3264—591no—
964#3219—591no—
965#3212—591no—
966#3204—591no—
967#3203—591no—
968#3201—591no—
969#3198—591no—
970#3114—591no—
971#3105—591no—
972#3012—591no—
973#3012—591no—
974#3009—591no—
975#3008—591no—
976#2981—591no—
977C2×C59—41no—
978C2×C59—41no—
979C2×C59—41no—
980C2×C59—41no—
981C2×C59—41no—
982C2×C59—42no—
983C2×C59—42no—
984C2×C59—81no—
985C2×C59—81no—
986C2×C59#348411yescharacteristic
987C2×C59#358411yescharacteristic
988C2×C59#358511yescharacteristic
989D59—81no—
990D59—81no—
991C2×H(5,𝔽2)C2×D5911yescharacteristic
992C2×H(5,𝔽2)C2×D5911yescharacteristic, complemented
993C2×#137—591no—
994C2×AGL(1,ℤ/8)—591no—
995C2×AGL(1,ℤ/8)—591no—
996C2×AGL(1,ℤ/8)—591no—
997C2×#135—591no—
998C2×#135—591no—
999C22×SD16—591no—
1000C22×D8—591no—
1001#563—1181no—
1002#560—1181no—
1003#555—1181no—
1004#553—591no—
1005#553—591no—
1006#552—591no—
1007#552—591no—
1008#551—1181no—
1009#548—591no—
1010#548—591no—
1011#547—21no—
1012#547C2×D5911yescharacteristic
1013#547C2×D5911yescharacteristic, complemented
1014#546—21no—
1015#546—21no—
1016#546—591no—
1017#546—591no—
1018#546C2×D5911yescharacteristic
1019#546C2×D5911yescharacteristic
1020#546C2×D5911yescharacteristic, complemented
1021#546C2×D5911yescharacteristic, complemented
1022D42—21no—
1023D42C2×D5911yescharacteristic
1024D42C2×D5911yescharacteristic, complemented
1025#540—1181no—
1026#540—1181no—
1027#538—1181no—
1028#538—1181no—
1029#537—591no—
1030#537—591no—
1031#537C2×D5911yescharacteristic
1032#537C2×D5911yescharacteristic, complemented
1033#536—591no—
1034#535—591no—
1035#534—21no—
1036#534—21no—
1037#532C2×D5911yescharacteristic
1038#532C2×D5911yescharacteristic, complemented
1039#529—591no—
1040#529—591no—
1041C2×#121—21no—
1042C2×#121—21no—
1043C2×C4×D4C2×D5911yescharacteristic, complemented
1044#497—591no—
1045#496—591no—
1046#495—591no—
1047#495—591no—
1048#491—591no—
1049#490—591no—
1050#488—591no—
1051#488—591no—
1052#485—591no—
1053#485—591no—
1054#484—591no—
1055#484—591no—
1056#483—591no—
1057#483—591no—
1058#482—591no—
1059#482—591no—
1060#481—591no—
1061#481—591no—
1062#480—591no—
1063#480—591no—
1064#478—591no—
1065#478—591no—
1066#478—591no—
1067#478—591no—
1068#470—591no—
1069#470—591no—
1070#469—591no—
1071#469—591no—
1072#468—591no—
1073#468—591no—
1074#468—591no—
1075#468—591no—
1076#467—591no—
1077#467—591no—
1078#466—591no—
1079#466—591no—
1080#465—591no—
1081#465—591no—
1082#465—591no—
1083#465—591no—
1084#464—591no—
1085#464—591no—
1086#463—591no—
1087#463—591no—
1088#463—591no—
1089#463—591no—
1090#463—591no—
1091#463—591no—
1092#462—591no—
1093#461—591no—
1094#460—591no—
1095#459—591no—
1096#452—591no—
1097#452—591no—
1098#452—591no—
1099#452—591no—
1100#452—591no—
1101#452—591no—
1102#452—591no—
1103#452—591no—
1104#452—591no—
1105#452—591no—
1106#451—591no—
1107#450—591no—
1108#450—591no—
1109#450—591no—
1110#450—591no—
1111#450—591no—
1112#450—591no—
1113#450—591no—
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#449—591no—
1118#449—591no—
1119#449—591no—
1120#449—591no—
1121#449—591no—
1122#449—591no—
1123#449—591no—
1124#448—591no—
1125#447—591no—
1126#447—591no—
1127#447—591no—
1128#447—591no—
1129#447—591no—
1130#447—591no—
1131#447—591no—
1132#442—591no—
1133#442—591no—
1134#440—591no—
1135#440—591no—
1136C4×SD16—591no—
1137C4×SD16—591no—
1138C4×D8—591no—
1139C4×D8—591no—
1140#436—591no—
1141#436—591no—
1142#435—591no—
1143#435—591no—
1144#435—591no—
1145#435—591no—
1146C8×D4—591no—
1147C8×D4—591no—
1148#432—591no—
1149#431—591no—
1150#418—591no—
1151#418—591no—
1152#417—591no—
1153#417—591no—
1154#416—591no—
1155#416—591no—
1156C2×#102—591no—
1157C2×#102—591no—
1158#408—591no—
1159#408—591no—
1160#408—591no—
1161#408—591no—
1162C59#6167811yescharacteristic, complemented, Sylow
1163H(5,𝔽2)—42no—
1164H(5,𝔽2)—42no—
1165H(5,𝔽2)—42no—
1166H(5,𝔽2)—42no—
1167C2×#41—21no—
1168C2×#41—21no—
1169C2×#41—591no—
1170C2×#41—591no—
1171C2×#41C22×D5911yescharacteristic
1172C2×#41C22×D5911yescharacteristic
1173C2×#41C22×D5911yescharacteristic
1174C2×#41C22×D5911yescharacteristic
1175C2×#41C22×D5911yescharacteristic
1176C2×#41C22×D5911yescharacteristic
1177C2×#41C22×D5911yescharacteristic
1178C2×#41C22×D5911yescharacteristic
1179C22×Q8—591no—
1180C22×D4—21no—
1181C22×D4—21no—
1182C22×D4—21no—
1183C22×D4—21no—
1184C22×D4—21no—
1185C22×D4—21no—
1186C22×D4—21no—
1187C22×D4—21no—
1188C22×D4—591no—
1189C22×D4C22×D5911yescharacteristic
1190C22×D4C22×D5911yescharacteristic
1191C22×D4C22×D5911yescharacteristic
1192C22×D4C22×D5911yescharacteristic
1193C22×D4C22×D5911yescharacteristic
1194C23×C4—21no—
1195#137—2362no—
1196AGL(1,ℤ/8)—2362no—
1197AGL(1,ℤ/8)—2362no—
1198AGL(1,ℤ/8)—2362no—
1199#135—2362no—
1200#135—2362no—
1201C2×Q16—591no—
1202C2×Q16—591no—
1203C2×Q16—591no—
1204C2×Q16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—591no—
1212C2×SD16—591no—
1213C2×SD16—591no—
1214C2×SD16—591no—
1215C2×SD16—591no—
1216C2×SD16—591no—
1217C2×SD16—2362no—
1218C2×D8—591no—
1219C2×D8—591no—
1220C2×D8—591no—
1221C2×D8—591no—
1222C2×D8—591no—
1223C2×D8—591no—
1224C2×D8—591no—
1225C2×D8—591no—
1226C2×D8—2362no—
1227C2×M16—591no—
1228C2×M16—591no—
1229C2×M16—591no—
1230C2×M16—591no—
1231C22×C8—591no—
1232C22×C8—591no—
1233C22×C8—591no—
1234C22×C8—591no—
1235C4⋊Q8—1181no—
1236C4⋊Q8C22⋊D5911yescharacteristic
1237C4⋊Q8C22×D5911yescharacteristic
1238#127—1181no—
1239#127C22⋊D5911yescharacteristic
1240#127C22×D5911yescharacteristic
1241#126—1181no—
1242#126—1181no—
1243#126—1181no—
1244#126—1181no—
1245#126—1181no—
1246#126—1181no—
1247#125—591no—
1248#125—591no—
1249#125—1181no—
1250#125—1181no—
1251#124—591no—
1252#124—591no—
1253#124—1181no—
1254#124—1181no—
1255#124—1181no—
1256#124—1181no—
1257#124C22⋊D5911yescharacteristic
1258#124C22⋊D5911yescharacteristic
1259#124C22×D5911yescharacteristic
1260#124C22×D5911yescharacteristic
1261#123—21no—
1262#123—21no—
1263#123—21no—
1264#123—21no—
1265#123—21no—
1266#123—21no—
1267#123—21no—
1268#123—21no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277#123—1181no—
1278#123—1181no—
1279C22⋊Q8—21no—
1280C22⋊Q8—21no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8C22×D5911yescharacteristic
1292C22⋊Q8C22×D5911yescharacteristic
1293C22⋊Q8C22×D5911yescharacteristic
1294C22⋊Q8C22×D5911yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—21no—
1311#121—591no—
1312#121—591no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121C22⋊D5911yescharacteristic
1330#121C22⋊D5911yescharacteristic
1331#121C22⋊D5911yescharacteristic
1332#121C22⋊D5911yescharacteristic
1333#121C22×D5911yescharacteristic
1334#121C22×D5911yescharacteristic
1335#121C22×D5911yescharacteristic
1336#121C22×D5911yescharacteristic
1337#120—21no—
1338#120—21no—
1339#120—21no—
1340#120—21no—
1341#120—21no—
1342#120—21no—
1343#120—21no—
1344#120—21no—
1345#120—1181no—
1346#120—1181no—
1347#120—1181no—
1348#120—1181no—
1349C4×Q8—591no—
1350C4×Q8—591no—
1351C4×D4—21no—
1352C4×D4—21no—
1353C4×D4—21no—
1354C4×D4—21no—
1355C4×D4—591no—
1356C4×D4—591no—
1357C4×D4—1181no—
1358C4×D4—1181no—
1359C4×D4—1181no—
1360C4×D4—1181no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4C22×D5911yescharacteristic
1364C4×D4C22×D5911yescharacteristic
1365C4×D4C22×D5911yescharacteristic
1366C4×D4C22×D5911yescharacteristic
1367C4×D4C22×D5911yescharacteristic
1368C4×D4C22×D5911yescharacteristic
1369C4×D4C22×D5911yescharacteristic
1370C4×D4C22×D5911yescharacteristic
1371#117—591no—
1372#117—591no—
1373#117—1181no—
1374#117—1181no—
1375#117—1181no—
1376#117—1181no—
1377C2×C4⋊C4—21no—
1378C2×C4⋊C4—21no—
1379C2×C4⋊C4—591no—
1380C2×C4⋊C4—591no—
1381C2×C4⋊C4C22×D5911yescharacteristic
1382C2×C22⋊C4—21no—
1383C2×C22⋊C4—21no—
1384C2×C22⋊C4—21no—
1385C2×C22⋊C4—21no—
1386C2×C22⋊C4—21no—
1387C2×C22⋊C4—1181no—
1388C2×C22⋊C4—1181no—
1389C2×C42C22×D5911yescharacteristic
1390#107—591no—
1391#107—591no—
1392#107—591no—
1393#107—591no—
1394#106—591no—
1395#106—591no—
1396#106—591no—
1397#106—591no—
1398C4⋊C8—591no—
1399C4⋊C8—591no—
1400C4⋊C8—591no—
1401C4⋊C8—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103—591no—
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103—591no—
1414#102—591no—
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434C22⋊C8—591no—
1435C22⋊C8—591no—
1436C22⋊C8—591no—
1437C22⋊C8—591no—
1438C22⋊C8—591no—
1439C22⋊C8—591no—
1440C22⋊C8—591no—
1441C22⋊C8—591no—
1442C22⋊C8—591no—
1443C22⋊C8—591no—
1444C22⋊C8—591no—
1445C22⋊C8—591no—
1446#97—591no—
1447#97—591no—
1448C4×C8—591no—
1449C4×C8—591no—
1450C24—21no—
1451C24—21no—
1452C24—21no—
1453C24—21no—
1454C24—21no—
1455C24—1181no—
1456#41—22no—
1457#41—22no—
1458#41—22no—
1459#41—22no—
1460#41—41no—
1461#41—41no—
1462#41—41no—
1463#41—41no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—41no—
1468#41—41no—
1469#41—41no—
1470#41—41no—
1471#41—41no—
1472#41—44no—
1473#41—44no—
1474#41—2361no—
1475#41—2361no—
1476#41—2361no—
1477#41—2361no—
1478C2×Q8—591no—
1479C2×Q8—591no—
1480C2×Q8—1181no—
1481C2×Q8—2361no—
1482C2×Q8—2361no—
1483C2×Q8C2×C22⋊D5911yescharacteristic
1484C2×Q8C2×C22⋊D5911yescharacteristic
1485C2×Q8C23×D5911yescharacteristic
1486C2×Q8C23×D5911yescharacteristic
1487C2×D4—22no—
1488C2×D4—22no—
1489C2×D4—22no—
1490C2×D4—22no—
1491C2×D4—22no—
1492C2×D4—22no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—41no—
1511C2×D4—41no—
1512C2×D4—41no—
1513C2×D4—41no—
1514C2×D4—44no—
1515C2×D4—44no—
1516C2×D4—44no—
1517C2×D4—44no—
1518C2×D4—44no—
1519C2×D4—44no—
1520C2×D4—82no—
1521C2×D4—82no—
1522C2×D4—591no—
1523C2×D4—591no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—2361no—
1534C2×D4—2361no—
1535C2×D4C2×C22⋊D5911yescharacteristic
1536C2×D4C2×C22⋊D5911yescharacteristic
1537C2×D4C2×C22⋊D5911yescharacteristic
1538C2×D4C2×C22⋊D5911yescharacteristic
1539C2×D4C2×C22⋊D5911yescharacteristic
1540C2×D4C2×C22⋊D5911yescharacteristic
1541C2×D4C2×C22⋊D5911yescharacteristic
1542C2×D4C2×C22⋊D5911yescharacteristic
1543C2×D4C2×C22⋊D5911yescharacteristic
1544C2×D4C2×C22⋊D5911yescharacteristic
1545C2×D4C23×D5911yescharacteristic
1546C2×D4C23×D5911yescharacteristic
1547C2×D4C23×D5911yescharacteristic
1548C2×D4C23×D5911yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—21no—
1557C22×C4—21no—
1558C22×C4—21no—
1559C22×C4—21no—
1560C22×C4—82no—
1561C22×C4—1181no—
1562C22×C4—1181no—
1563C22×C4—1181no—
1564C22×C4—1181no—
1565C22×C4—1181no—
1566C22×C4—1181no—
1567C22×C4—1181no—
1568C22×C4C2×C22⋊D5911yescharacteristic
1569C22×C4C2×C22⋊D5911yescharacteristic
1570C22×C4C23×D5911yescharacteristic
1571C22×C4C23×D5911yescharacteristic
1572C22×C4C23×D5911yescharacteristic
1573C22×C4C23×D5911yescharacteristic
1574C22×C4C23×D5911yescharacteristic
1575Q16—2361no—
1576Q16—2361no—
1577Q16—2361no—
1578Q16—2361no—
1579SD16—1182no—
1580SD16—1182no—
1581SD16—1182no—
1582SD16—1182no—
1583SD16—2361no—
1584SD16—2361no—
1585SD16—2361no—
1586SD16—2361no—
1587SD16—2361no—
1588SD16—2361no—
1589SD16—2361no—
1590SD16—2361no—
1591D8—1182no—
1592D8—1182no—
1593D8—1182no—
1594D8—1182no—
1595D8—2361no—
1596D8—2361no—
1597D8—2361no—
1598D8—2361no—
1599M16—2361no—
1600M16—2361no—
1601M16—2361no—
1602M16—2361no—
1603C2×C8—591no—
1604C2×C8—591no—
1605C2×C8—591no—
1606C2×C8—591no—
1607C2×C8—591no—
1608C2×C8—591no—
1609C2×C8—591no—
1610C2×C8—591no—
1611C2×C8—2361no—
1612C2×C8—2361no—
1613C2×C8—2361no—
1614C2×C8—2361no—
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—591no—
1623C4⋊C4—591no—
1624C4⋊C4—591no—
1625C4⋊C4—591no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4—1181no—
1635C4⋊C4—1181no—
1636C4⋊C4—1181no—
1637C4⋊C4—1181no—
1638C4⋊C4—1181no—
1639C4⋊C4—1181no—
1640C4⋊C4C2×C22⋊D5911yescharacteristic
1641C4⋊C4C2×C22⋊D5911yescharacteristic
1642C4⋊C4C2×C22⋊D5911yescharacteristic
1643C4⋊C4C2×C22⋊D5911yescharacteristic
1644C4⋊C4C23×D5911yescharacteristic
1645C4⋊C4C23×D5911yescharacteristic
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4C2×C22⋊D5911yescharacteristic
1683C22⋊C4C2×C22⋊D5911yescharacteristic
1684C22⋊C4C2×C22⋊D5911yescharacteristic
1685C22⋊C4C2×C22⋊D5911yescharacteristic
1686C22⋊C4C2×C22⋊D5911yescharacteristic
1687C22⋊C4C2×C22⋊D5911yescharacteristic
1688C22⋊C4C2×C22⋊D5911yescharacteristic
1689C22⋊C4C2×C22⋊D5911yescharacteristic
1690C42—1181no—
1691C42—1181no—
1692C42—1181no—
1693C42—1181no—
1694C42C2×C22⋊D5911yescharacteristic
1695C42C2×C22⋊D5911yescharacteristic
1696C42C23×D5911yescharacteristic
1697C42C23×D5911yescharacteristic
1698C23—24no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—42no—
1704C23—42no—
1705C23—42no—
1706C23—42no—
1707C23—81no—
1708C23—81no—
1709C23—81no—
1710C23—81no—
1711C23—81no—
1712C23—81no—
1713C23—81no—
1714C23—81no—
1715C23—81no—
1716C23—81no—
1717C23—1181no—
1718C23—1181no—
1719C23—4721no—
1720C23—4721no—
1721C23—4721no—
1722C23C22×C22⋊D5911yescharacteristic
1723C23C22×C22⋊D5911yescharacteristic
1724C23C22×C22⋊D5911yescharacteristic
1725C23C22×C22⋊D5911yescharacteristic
1726C23C22×C22⋊D5911yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—21no—
1730Q8—21no—
1731Q8—41no—
1732Q8—41no—
1733Q8—1181no—
1734Q8—1181no—
1735Q8—1181no—
1736Q8—1181no—
1737Q8—4721no—
1738D4—24no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—41no—
1746D4—41no—
1747D4—41no—
1748D4—41no—
1749D4—41no—
1750D4—41no—
1751D4—41no—
1752D4—41no—
1753D4—41no—
1754D4—41no—
1755D4—42no—
1756D4—42no—
1757D4—42no—
1758D4—42no—
1759D4—42no—
1760D4—42no—
1761D4—42no—
1762D4—42no—
1763D4—42no—
1764D4—42no—
1765D4—42no—
1766D4—81no—
1767D4—81no—
1768D4—81no—
1769D4—81no—
1770D4—81no—
1771D4—1181no—
1772D4—1181no—
1773D4—1181no—
1774D4—1181no—
1775D4—4721no—
1776D4—4721no—
1777D4—4721no—
1778D4—4721no—
1779D4—4721no—
1780D4—4721no—
1781D4—4721no—
1782D4—4721no—
1783D4—4721no—
1784D4#1427377212yes—
1785D4#1427377212yes—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—41no—
1801C2×C4—41no—
1802C2×C4—42no—
1803C2×C4—42no—
1804C2×C4—42no—
1805C2×C4—42no—
1806C2×C4—42no—
1807C2×C4—42no—
1808C2×C4—42no—
1809C2×C4—42no—
1810C2×C4—81no—
1811C2×C4—81no—
1812C2×C4—81no—
1813C2×C4—1181no—
1814C2×C4—1181no—
1815C2×C4—1181no—
1816C2×C4—1181no—
1817C2×C4—1181no—
1818C2×C4—1181no—
1819C2×C4—4721no—
1820C2×C4—4721no—
1821C2×C4—4721no—
1822C2×C4—4721no—
1823C2×C4—4721no—
1824C2×C4—4721no—
1825C2×C4—4721no—
1826C2×C4C22×C22⋊D5911yescharacteristic
1827C2×C4C22×C22⋊D5911yescharacteristic
1828C2×C4C22×C22⋊D5911yescharacteristic
1829C2×C4C22×C22⋊D5911yescharacteristic
1830C2×C4C22×C22⋊D5911yescharacteristic
1831C2×C4C22×C22⋊D5911yescharacteristic
1832C2×C4C22×C22⋊D5911yescharacteristic
1833C2×C4C22×C22⋊D5911yescharacteristic
1834C2×C4C22×C22⋊D5911yescharacteristic
1835C2×C4C24×D5911yescharacteristic
1836C8—1181no—
1837C8—1181no—
1838C8—1181no—
1839C8—1181no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C8—1181no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—22no—
1850C22—22no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—21no—
1856C22—21no—
1857C22—21no—
1858C22—21no—
1859C22—21no—
1860C22—21no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—84no—
1872C22—162no—
1873C22—162no—
1874C22—162no—
1875C22—162no—
1876C22—9442no—
1877C22—2361no—
1878C22—2361no—
1879C22—2361no—
1880C22—2361no—
1881C22—2361no—
1882C22—2361no—
1883C22C23×C22⋊D5911yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—21no—
1889C4—21no—
1890C4—21no—
1891C4—21no—
1892C4—21no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—2361no—
1898C4—2361no—
1899C4—2361no—
1900C4—2361no—
1901C4—2361no—
1902C4—2361no—
1903C4C2×#1427377211yescharacteristic
1904C4C2×#1427377211yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—41no—
1909C2—41no—
1910C2—42no—
1911C2—42no—
1912C2—81no—
1913C2—81no—
1914C2—4721no—
1915C2—4721no—
1916C2#2143773111yescharacteristic
1917C2#2143886711yescharacteristic
1918C2#2143887611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3496C2
socleC22×C59C23×D4
hypercenter#3496D59
hypocenterC59#61678
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #532 ◁ #3496

Complements

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

NH ≅ G/Ntype
1. #21438523C2semidirect
2. #21436312C2semidirect
3. #21436297C2semidirect
4. #21436237C2semidirect
5. #21436192C2semidirect
6. #21436117C2semidirect
7. #21436072C2semidirect
8. #21435946C2semidirect
9. #21435931C2semidirect
10. #21435799C2semidirect
11. #21435777C2semidirect
12. #21435723C2semidirect
13. #21435703C2semidirect
14. #21435647C2semidirect
15. #21435622C2semidirect
16. #21435587C2semidirect
17. #21435572C2semidirect
18. #21435133C2semidirect
19. #21435072C2semidirect
20. #21435002C2semidirect
21. #21434993C2semidirect
22. #21434972C2semidirect
23. #21434942C2semidirect
24. #21434234C2semidirect
25. #21434143C2semidirect
26. #21433400C2semidirect
27. #21433400C2semidirect
28. #21433373C2semidirect
29. #21433364C2semidirect
30. #21433172C2semidirect
31. C59×#3496C2semidirect
32. C2×#14273757C22semidirect
33. C2×#14273753C22semidirect
34. C2×#14273753C22semidirect
35. C2×#14273752C22semidirect
36. C2×#14273747C22semidirect
37. C2×#14273747C22semidirect
38. C22×#11745670C22semidirect
39. C22×#11745669C22semidirect
43. #16838098C22semidirect
44. #16838098C22semidirect
45. #16838092C22semidirect
46. #16838092C22semidirect
48. #16838061C22semidirect
49. #16838061C22semidirect
50. #16838048C22semidirect
51. #16838048C22semidirect
56. #16837980C22semidirect
57. #16837980C22semidirect
58. #16837973C22semidirect
59. #16837966C22semidirect
60. #16837936C22semidirect
61. #16837936C22semidirect
62. #16837794C22semidirect
63. #16837789C22semidirect
64. #16837784C22semidirect
65. #16837784C22semidirect
66. #16837770C22semidirect
67. #16837766C22semidirect
68. #16837756C22semidirect
69. #16837756C22semidirect
70. #16837740C22semidirect
71. #16837740C22semidirect
72. #16837737C22semidirect
73. #16837735C22semidirect
74. #16837732C22semidirect
75. #16837730C22semidirect
76. #16837723C22semidirect
77. #16837723C22semidirect
78. #16837720C22semidirect
79. #16837718C22semidirect
80. #16837715C22semidirect
81. #16837713C22semidirect
82. #16837702C22semidirect
83. #16837702C22semidirect
84. #16837702C22semidirect
85. #16837702C22semidirect
86. #16837658C22semidirect
87. #16837658C22semidirect
88. #16837653C22semidirect
89. #16837653C22semidirect
90. #16837650C22semidirect
91. #16837650C22semidirect
92. #16837646C22semidirect
93. #16837646C22semidirect
94. #16837641C22semidirect
95. #16837641C22semidirect
96. #16837636C22semidirect
97. #16837636C22semidirect
98. #16837633C22semidirect
99. #16837633C22semidirect
100. #16837629C22semidirect
101. #16837629C22semidirect
102. #16837621C22semidirect
103. #16837621C22semidirect
104. #16837617C22semidirect
105. #16837617C22semidirect
106. #16837617C22semidirect
107. #16837617C22semidirect
108. #16837614C22semidirect
109. #16837614C22semidirect
110. #16837609C22semidirect
111. #16837604C22semidirect
112. #16837599C22semidirect
113. #16837594C22semidirect
114. #16837564C22semidirect
115. #16837564C22semidirect
116. #16837564C22semidirect
117. #16837564C22semidirect
118. #16837564C22semidirect
119. #16837564C22semidirect
120. #16837564C22semidirect
121. #16837564C22semidirect
122. #16837562C22semidirect
123. #16837562C22semidirect
124. #16837557C22semidirect
125. #16837553C22semidirect
126. #16837553C22semidirect
127. #16837553C22semidirect
128. #16837553C22semidirect
129. #16837553C22semidirect
130. #16837553C22semidirect
131. #16837552C22semidirect
132. #16837547C22semidirect
133. #16837547C22semidirect
134. #16837547C22semidirect
135. #16837547C22semidirect
136. #16837547C22semidirect
137. #16837547C22semidirect
138. #16837547C22semidirect
139. #16837547C22semidirect
140. #16837545C22semidirect
141. #16837545C22semidirect
142. #16837540C22semidirect
145. #16837536C22semidirect
146. #16837536C22semidirect
147. #16837536C22semidirect
148. #16837536C22semidirect
149. #16837535C22semidirect
150. #16837512C22semidirect
151. #16837512C22semidirect
152. #16837502C22semidirect
153. #16837502C22semidirect
154. C4×#11745670C22semidirect
155. C4×#11745670C22semidirect
156. C4×#11745669C22semidirect
157. C4×#11745669C22semidirect
158. #16837480C22semidirect
159. #16837480C22semidirect
160. #16837474C22semidirect
161. #16837474C22semidirect
162. #16837474C22semidirect
163. #16837474C22semidirect
164. D4×C59⋊C8C22semidirect
165. D4×C59⋊C8C22semidirect
166. #16837459C22semidirect
167. #16837455C22semidirect
168. #16837407C22semidirect
169. #16837407C22semidirect
170. #16837403C22semidirect
171. #16837403C22semidirect
172. #16837398C22semidirect
173. #16837398C22semidirect
174. C2×#14273648C22semidirect
175. C2×#14273648C22semidirect
176. #16837369C22semidirect
177. #16837369C22semidirect
178. #16837369C22semidirect
179. #16837369C22semidirect
181. C2×H(5,𝔽2)×C59C22semidirect
184. C59×#547C22semidirect
189. C59×#546C22semidirect
190. C59×#546C22semidirect
193. D42×C59C22semidirect
195. C59×#537C22semidirect
199. C59×#532C22semidirect
202. C2×C4×D4×C59C22semidirect
947. #3496D59semidirect
992. C2×H(5,𝔽2)C2×D59semidirect
1013. #547C2×D59semidirect
1020. #546C2×D59semidirect
1021. #546C2×D59semidirect
1024. D42C2×D59semidirect
1032. #537C2×D59semidirect
1038. #532C2×D59semidirect
1043. C2×C4×D4C2×D59semidirect
1162. C59#61678semidirect

Maximal subgroups

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

subgroupindex
#214385232
#214363122
#214362972
#214362372
#214361922
#214361172
#214360722
#214359462
#214359312
#214357992
#214357772
#214357232
#214357032
#214356472
#214356222
#214355872
#214355722
#214351332
#214350722
#214350022
#214349932
#214349722
#214349422
#214342342
#214341432
#214334002
#214333732
#214333642
#214331722
C59×#34962
#6167859