Finite Group Databasebeta

← #29474149

Subgroups — #29474149

Order 15104.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×#11745685C211yesmaximal, characteristic, complemented
2#21436358C211yesmaximal, characteristic, complemented
3#21436306C211yesmaximal, characteristic, complemented
4#21436261C211yesmaximal, characteristic, complemented
5#21436231C211yesmaximal, characteristic, complemented
6#21436216C211yesmaximal, characteristic, complemented
7#21436186C211yesmaximal, characteristic, complemented
8#21435992C211yesmaximal, characteristic, complemented
9#21435940C211yesmaximal, characteristic, complemented
10#21435833C211yesmaximal, characteristic, complemented
11#21435804C211yesmaximal, characteristic, complemented
12#21435723C211yesmaximal, characteristic, complemented
13#21435703C211yesmaximal, characteristic, complemented
14#21435662C211yesmaximal, characteristic, complemented
15#21435632C211yesmaximal, characteristic, complemented
16#21435617C211yesmaximal, characteristic, complemented
17#21435592C211yesmaximal, characteristic, complemented
18#21435129C211yesmaximal, characteristic, complemented
19#21435068C211yesmaximal, characteristic, complemented
20#21434933C211yesmaximal, characteristic, complemented
21#21434926C211yesmaximal, characteristic, complemented
22#21434884C211yesmaximal, characteristic, complemented
23#21434861C211yesmaximal, characteristic, complemented
24#21434199C211yesmaximal, characteristic, complemented
25#21434108C211yesmaximal, characteristic, complemented
26#21433346C211yesmaximal, characteristic, complemented
27#21433336C211yesmaximal, characteristic, complemented
28#21433312C211yesmaximal, characteristic, complemented
29C2×#16837562C211yesmaximal, characteristic, complemented
30#21433131C211yesmaximal, characteristic, complemented
31C59×#3505C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic
33C22×#11745685C2211yescharacteristic, complemented
34C2×#14273757C2211yescharacteristic, complemented
35C2×#14273753C2211yescharacteristic, complemented
36C2×#14273753C2211yescharacteristic, complemented
37C2×#14273752C2211yescharacteristic, complemented
38C2×#14273747C2211yescharacteristic, complemented
39C2×#14273747C2211yescharacteristic, complemented
40C22×#11745672C2211yescharacteristic, complemented
41C22×#11745671C2211yescharacteristic, complemented
42#16838073C2211yescharacteristic
43D4×Dic118C2211yescharacteristic, complemented
44#16838061C2211yescharacteristic
45#16838061C2211yescharacteristic, complemented
46#16838057C2211yescharacteristic
47#16838053—21no—
48#16838048C2211yescharacteristic
49#16838048C2211yescharacteristic, complemented
50#16838042—21no—
51#16838042—21no—
52D4×D236C2211yescharacteristic, complemented
53D4×C22⋊D59—21no—
54#16837952C2211yescharacteristic, complemented
55#16837949—21no—
56#16837913C2211yescharacteristic
57#16837913C2211yescharacteristic, complemented
58#16837911—21no—
59#16837911—21no—
60C4×#11745685C2211yescharacteristic, complemented
61C4×D4×D59—21no—
62#16837797C2211yescharacteristic, complemented
63#16837792C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic, complemented
65#16837784C2211yescharacteristic, complemented
66#16837772C2211yescharacteristic, complemented
67#16837768C2211yescharacteristic, complemented
68#16837759C2211yescharacteristic, complemented
69#16837759C2211yescharacteristic, complemented
70#16837743C2211yescharacteristic, complemented
71#16837743C2211yescharacteristic, complemented
72#16837740C2211yescharacteristic, complemented
73#16837740C2211yescharacteristic, complemented
74#16837737C2211yescharacteristic, complemented
75#16837737C2211yescharacteristic, complemented
76#16837726C2211yescharacteristic, complemented
77#16837726C2211yescharacteristic, complemented
78#16837723C2211yescharacteristic, complemented
79#16837723C2211yescharacteristic, complemented
80#16837720C2211yescharacteristic, complemented
81#16837720C2211yescharacteristic, complemented
82#16837706C2211yescharacteristic, complemented
83#16837706C2211yescharacteristic, complemented
84#16837699C2211yescharacteristic, complemented
85#16837699C2211yescharacteristic, complemented
86#16837658C2211yescharacteristic, complemented
87#16837658C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic, complemented
89#16837653C2211yescharacteristic, complemented
90#16837650C2211yescharacteristic, complemented
91#16837650C2211yescharacteristic, complemented
92#16837650C2211yescharacteristic, complemented
93#16837646C2211yescharacteristic, complemented
94#16837641C2211yescharacteristic, complemented
95#16837636C2211yescharacteristic, complemented
96#16837636C2211yescharacteristic, complemented
97#16837636C2211yescharacteristic, complemented
98#16837633C2211yescharacteristic, complemented
99#16837629C2211yescharacteristic, complemented
100#16837629C2211yescharacteristic, complemented
101#16837629C2211yescharacteristic, complemented
102#16837624C2211yescharacteristic, complemented
103#16837624C2211yescharacteristic, complemented
104#16837621C2211yescharacteristic, complemented
105#16837621C2211yescharacteristic, complemented
106#16837617C2211yescharacteristic, complemented
107#16837617C2211yescharacteristic, complemented
108#16837614C2211yescharacteristic, complemented
109#16837614C2211yescharacteristic, complemented
110#16837612C2211yescharacteristic, complemented
111#16837607C2211yescharacteristic, complemented
112#16837602C2211yescharacteristic, complemented
113#16837597C2211yescharacteristic, complemented
114#16837564C2211yescharacteristic, complemented
115#16837564C2211yescharacteristic, complemented
116#16837562C2211yescharacteristic, complemented
117#16837562C2211yescharacteristic, complemented
118#16837562C2211yescharacteristic, complemented
119#16837562C2211yescharacteristic, complemented
120#16837562C2211yescharacteristic, complemented
121#16837562C2211yescharacteristic, complemented
122#16837562C2211yescharacteristic, complemented
123#16837562C2211yescharacteristic, complemented
124#16837562C2211yescharacteristic, complemented
125#16837562C2211yescharacteristic, complemented
126#16837562C2211yescharacteristic, complemented
127#16837562C2211yescharacteristic, complemented
128#16837558C2211yescharacteristic, complemented
129#16837557C2211yescharacteristic, complemented
130#16837553C2211yescharacteristic, complemented
131#16837552C2211yescharacteristic, complemented
132#16837547C2211yescharacteristic, complemented
133#16837547C2211yescharacteristic, complemented
134#16837545C2211yescharacteristic
135#16837545C2211yescharacteristic
136#16837545C2211yescharacteristic, complemented
137#16837545C2211yescharacteristic, complemented
138#16837545C2211yescharacteristic, complemented
139#16837545C2211yescharacteristic, complemented
140#16837545C2211yescharacteristic, complemented
141#16837545C2211yescharacteristic, complemented
142#16837541C2211yescharacteristic, complemented
143#16837540C2211yescharacteristic, complemented
144#16837540C2211yescharacteristic, complemented
145#16837540C2211yescharacteristic, complemented
146#16837536C2211yescharacteristic, complemented
147#16837535C2211yescharacteristic, complemented
148#16837535C2211yescharacteristic, complemented
149#16837535C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic, complemented
151#16837507C2211yescharacteristic, complemented
152#16837502C2211yescharacteristic, complemented
153#16837500C2211yescharacteristic, complemented
154C4×#11745672C2211yescharacteristic, complemented
155C4×#11745671C2211yescharacteristic, complemented
156C4×#11745670C2211yescharacteristic, 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#16837410C2211yescharacteristic, complemented
169#16837406C2211yescharacteristic, complemented
170#16837401C2211yescharacteristic, complemented
171#16837401C2211yescharacteristic, complemented
172#16837396C2211yescharacteristic, complemented
173#16837396C2211yescharacteristic, complemented
174C2×#14273650C2211yescharacteristic, complemented
175C2×#14273647C2211yescharacteristic, complemented
176#16837366C2211yescharacteristic, complemented
177#16837366C2211yescharacteristic, complemented
178C2×C22⋊(C59⋊C8)C2211yescharacteristic, complemented
179C2×C22⋊(C59⋊C8)C2211yescharacteristic, complemented
180C59×#553—21no—
181C59×#553—21no—
182C59×#553C2211yescharacteristic
183C59×#553C2211yescharacteristic, complemented
184C59×#552C2211yescharacteristic, complemented
185C59×#552C2211yescharacteristic, complemented
186C59×#551—21no—
187C59×#551—21no—
188C59×#548C2211yescharacteristic
189C59×#548C2211yescharacteristic, complemented
190C59×#546C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic, complemented
192C59×#539—21no—
193C59×#538—21no—
194C59×#534—21no—
195C59×#529C2211yescharacteristic, complemented
196C59×#529C2211yescharacteristic, complemented
197C59×#525C2211yescharacteristic, complemented
198C59×#525C2211yescharacteristic, complemented
199C2×C22⋊Q8×C59C2211yescharacteristic, complemented
200C2×#121×C59C2211yescharacteristic, complemented
201C59×#518—21no—
202C2×C4×D4×C59C2211yescharacteristic
203C2×#11745685—21no—
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685—42no—
208C2×#11745685—42no—
209C2×#11745685—42no—
210C2×#11745685—42no—
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×#11745685C2311yescharacteristic
216C2×#11745685C2311yescharacteristic
217C2×#11745685C2311yescharacteristic
218C22×Dic118C2311yescharacteristic
219C22×Dic118C2311yescharacteristic
220C22×D236C2311yescharacteristic
221C22×D236C2311yescharacteristic
222C22×C22⋊D59—21no—
223C22×C22⋊D59—21no—
224C2×D4×D59—21no—
225C22×C4×D59—21no—
226C22×C4×D59—21no—
227#14273757—42no—
228#14273753—42no—
229#14273753—42no—
230#14273752—42no—
231#14273747—42no—
232#14273747—42no—
233C2×#11745672—42no—
234C2×#11745672C2311yescharacteristic
235C2×#11745672C2311yescharacteristic
236C2×#11745672C2311yescharacteristic
237C2×#11745672C2311yescharacteristic
238C2×#11745672C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240C2×#11745670C2311yescharacteristic
241C2×#11745670C2311yescharacteristic
242C2×#11745670C2311yescharacteristic
243C2×#11745670C2311yescharacteristic
244C2×#11745670C2311yescharacteristic
245C2×#11745670C2311yescharacteristic
246C2×#11745671—42no—
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254C2×#11745669C2311yescharacteristic
255C2×#11745669C2311yescharacteristic
256C2×#11745669C2311yescharacteristic
257C2×#11745669C2311yescharacteristic
258C2×#11745669C2311yescharacteristic
259C2×#11745664C2311yescharacteristic
260C2×#11745664C2311yescharacteristic
261C2×#11745664C2311yescharacteristic
262C2×#11745664C2311yescharacteristic
263C22×C59⋊C8C2311yescharacteristic
264C22×C59⋊C8C2311yescharacteristic
265C22×C59⋊C8C2311yescharacteristic
266C22×C59⋊C8C2311yescharacteristic
267#14273727C2311yescharacteristic
268#14273726—21no—
269#14273724C2311yescharacteristic
270#14273723—21no—
271#14273715C2311yescharacteristic
272#14273715C2311yescharacteristic
273#14273713—21no—
274#14273713—21no—
275#14273712—21no—
276#14273712—21no—
277#14273710—21no—
278#14273710—21no—
279#14273709—21no—
280#14273709—21no—
281#14273706C2311yescharacteristic
282#14273706C2311yescharacteristic
283#14273706C2311yescharacteristic
284#14273706C2311yescharacteristic
285#14273705—21no—
286#14273705—21no—
287#14273704—21no—
288#14273704—21no—
289#14273702—21no—
290#14273701—21no—
291#14273701—21no—
292#14273701C2311yescharacteristic
293#14273701C2311yescharacteristic
294#14273701C2311yescharacteristic
295#14273701C2311yescharacteristic
296#14273700—21no—
297#14273700—21no—
298#14273700—21no—
299#14273700—21no—
300#14273699—21no—
301#14273699—21no—
302#14273698—21no—
303#14273697—21no—
304#14273697—21no—
305#14273696—21no—
306#14273696—21no—
307#14273695—21no—
308#14273695—21no—
309C4×Dic118C2311yescharacteristic
310C4×Dic118C2311yescharacteristic
311C4×D236—21no—
312C4×D236—21no—
313C4×D236C2311yescharacteristic
314C4×D236C2311yescharacteristic
315D4×Dic59—21no—
316#14273689—21no—
317C4×C22⋊D59—21no—
318C4×C22⋊D59—21no—
319C4×C22⋊D59—21no—
320C4×C22⋊D59—21no—
321C4×C22⋊D59—21no—
322C4×C22⋊D59—21no—
323(C22⋊D59)⋊C4—21no—
324(C22⋊D59)⋊C4—21no—
325#14273686C2311yescharacteristic
326#14273684—21no—
327C4⋊C4×D59—21no—
328C22⋊C4×D59—21no—
329C22⋊C4×D59—21no—
330C42×D59—21no—
331#14273660C2311yescharacteristic
332#14273660C2311yescharacteristic
333#14273660C2311yescharacteristic
334#14273660C2311yescharacteristic
335#14273658C2311yescharacteristic
336#14273658C2311yescharacteristic
337#14273658C2311yescharacteristic
338#14273658C2311yescharacteristic
339C4⋊(C59⋊C8)C2311yescharacteristic
340C4⋊(C59⋊C8)C2311yescharacteristic
341C4⋊(C59⋊C8)C2311yescharacteristic
342C4⋊(C59⋊C8)C2311yescharacteristic
343#14273651C2311yescharacteristic
344#14273651C2311yescharacteristic
345#14273651C2311yescharacteristic
346#14273651C2311yescharacteristic
347#14273650C2311yescharacteristic
348#14273650C2311yescharacteristic
349#14273650C2311yescharacteristic
350#14273650C2311yescharacteristic
351#14273650C2311yescharacteristic
352#14273650C2311yescharacteristic
353#14273650C2311yescharacteristic
354#14273650C2311yescharacteristic
355#14273650C2311yescharacteristic
356#14273650C2311yescharacteristic
357#14273650C2311yescharacteristic
358#14273650C2311yescharacteristic
359#14273648C2311yescharacteristic
360#14273648C2311yescharacteristic
361#14273648C2311yescharacteristic
362#14273648C2311yescharacteristic
363#14273647C2311yescharacteristic
364#14273647C2311yescharacteristic
365#14273647C2311yescharacteristic
366#14273647C2311yescharacteristic
367#14273647C2311yescharacteristic
368#14273647C2311yescharacteristic
369#14273647C2311yescharacteristic
370#14273647C2311yescharacteristic
371#14273647C2311yescharacteristic
372#14273647C2311yescharacteristic
373#14273647C2311yescharacteristic
374#14273647C2311yescharacteristic
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
383C22⋊(C59⋊C8)C2311yescharacteristic
384C22⋊(C59⋊C8)C2311yescharacteristic
385C22⋊(C59⋊C8)C2311yescharacteristic
386C22⋊(C59⋊C8)C2311yescharacteristic
387#14273638C2311yescharacteristic
388#14273638C2311yescharacteristic
389C4×C59⋊C8C2311yescharacteristic
390C4×C59⋊C8C2311yescharacteristic
391C2×#41×C59C2311yescharacteristic
392C2×#41×C59C2311yescharacteristic
393C22×Q8×C59C2311yescharacteristic
394C22×D4×C59—21no—
395C22×D4×C59D411yescharacteristic
396C22×D4×C59C2311yescharacteristic
397C23×C4×C59C2311yescharacteristic
398C23×C4×C59C2311yescharacteristic
399#126×C59—21no—
400#126×C59—21no—
401#126×C59—21no—
402#126×C59—21no—
403#126×C59—21no—
404#126×C59—21no—
405#125×C59—21no—
406#125×C59—21no—
407#125×C59C2311yescharacteristic
408#125×C59C2311yescharacteristic
409#124×C59—21no—
410#124×C59—21no—
411#124×C59C2311yescharacteristic
412#124×C59C2311yescharacteristic
413#123×C59—21no—
414#123×C59—21no—
415#123×C59—21no—
416#123×C59—21no—
417#123×C59—21no—
418#123×C59—21no—
419#123×C59—21no—
420#123×C59—21no—
421#123×C59—21no—
422#123×C59—21no—
423C22⋊Q8×C59—21no—
424C22⋊Q8×C59—21no—
425C22⋊Q8×C59—21no—
426C22⋊Q8×C59—21no—
427C22⋊Q8×C59C2311yescharacteristic
428C22⋊Q8×C59C2311yescharacteristic
429C22⋊Q8×C59C2311yescharacteristic
430C22⋊Q8×C59C2311yescharacteristic
431C22⋊Q8×C59C2311yescharacteristic
432C22⋊Q8×C59C2311yescharacteristic
433#121×C59—21no—
434#121×C59—21no—
435#121×C59—21no—
436#121×C59—21no—
437#121×C59—21no—
438#121×C59—21no—
439#121×C59—21no—
440#121×C59—21no—
441#121×C59C2311yescharacteristic
442#121×C59C2311yescharacteristic
443#121×C59C2311yescharacteristic
444#121×C59C2311yescharacteristic
445#121×C59C2311yescharacteristic
446#121×C59C2311yescharacteristic
447#120×C59—21no—
448#120×C59—21no—
449#120×C59—21no—
450#120×C59—21no—
451C4×Q8×C59C2311yescharacteristic
452C4×Q8×C59C2311yescharacteristic
453C4×D4×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59—21no—
456C4×D4×C59—21no—
457C4×D4×C59—21no—
458C4×D4×C59—21no—
459C4×D4×C59—21no—
460C4×D4×C59—21no—
461C4×D4×C59—21no—
462C4×D4×C59—21no—
463C4×D4×C59D411yescharacteristic
464C4×D4×C59D411yescharacteristic
465C4×D4×C59D411yescharacteristic
466C4×D4×C59D411yescharacteristic
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471C4×D4×C59C2311yescharacteristic
472C4×D4×C59C2311yescharacteristic
473#117×C59—21no—
474#117×C59—21no—
475#117×C59—21no—
476#117×C59—21no—
477#117×C59C2311yescharacteristic
478#117×C59C2311yescharacteristic
479C2×C4⋊C4×C59—21no—
480C2×C4⋊C4×C59D411yescharacteristic
481C2×C4⋊C4×C59C2311yescharacteristic
482C2×C4⋊C4×C59C2311yescharacteristic
483C2×C22⋊C4×C59—21no—
484C2×C22⋊C4×C59—21no—
485C2×C22⋊C4×C59—21no—
486C2×C22⋊C4×C59—21no—
487C2×C22⋊C4×C59D411yescharacteristic
488C2×C22⋊C4×C59D411yescharacteristic
489C2×C42×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59C2×D411yescharacteristic
492C24×C59C2×D411yescharacteristic
493C23×D59—21no—
494C23×D59—21no—
495#41×C59—41no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499C2×Q8×C59—21no—
500C2×Q8×C59—41no—
501C2×Q8×C59—41no—
502C2×Q8×C59C2411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59—41no—
514C2×D4×C59—41no—
515C2×D4×C59—42no—
516C2×D4×C59—44no—
517C2×D4×C59C2×D411yescharacteristic
518C2×D4×C59C2×D411yescharacteristic
519C2×D4×C59C2×D411yescharacteristic
520C2×D4×C59C2×D411yescharacteristic
521C2×D4×C59C2411yescharacteristic
522C2×D4×C59C2411yescharacteristic
523C22×C4×C59—21no—
524C22×C4×C59—21no—
525C22×C4×C59—21no—
526C22×C4×C59—21no—
527C22×C4×C59—21no—
528C22×C4×C59—21no—
529C22×C4×C59—21no—
530C22×C4×C59—41no—
531C22×C4×C59—41no—
532C22×C4×C59—41no—
533C22×C4×C59—41no—
534C22×C4×C59C2×D411yescharacteristic
535C22×C4×C59C2×D411yescharacteristic
536C22×C4×C59C2×D411yescharacteristic
537C22×C4×C59C2×D411yescharacteristic
538C22×C4×C59C2×D411yescharacteristic
539C22×C4×C59C2×D411yescharacteristic
540C22×C4×C59C2×D411yescharacteristic
541C22×C4×C59C2×D411yescharacteristic
542C22×C4×C59C2411yescharacteristic
543C22×C4×C59C2411yescharacteristic
544C22×C4×C59C2411yescharacteristic
545C22×C4×C59C2411yescharacteristic
546C22×C4×C59C2411yescharacteristic
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C2×C22⋊D59—21no—
551C2×C22⋊D59—21no—
552C2×C22⋊D59—21no—
553C2×C22⋊D59—21no—
554C2×C22⋊D59—21no—
555C2×C22⋊D59—21no—
556C2×C22⋊D59—21no—
557C2×C22⋊D59—21no—
558C2×C22⋊D59—44no—
559C2×C22⋊D59—44no—
560C22×Dic59—21no—
561C22×Dic59—21no—
562D4×D59—44no—
563#11745685—22no—
564#11745685—22no—
565#11745685—22no—
566#11745685—22no—
567#11745685—22no—
568#11745685—22no—
569#11745685—41no—
570#11745685—41no—
571#11745685—41no—
572#11745685—41no—
573#11745685—41no—
574#11745685—41no—
575#11745685—41no—
576#11745685—41no—
577#11745685—44no—
578#11745685—44no—
579#11745685—44no—
580#11745685—44no—
581C2×D236—22no—
582C2×D236—22no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236—21no—
586C2×D236—21no—
587C2×D236—41no—
588C2×D236—41no—
589C2×D236C2411yescharacteristic
590C2×D236C2411yescharacteristic
591C2×D236C2411yescharacteristic
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—21no—
598C2×C4×D59—21no—
599C2×C4×D59—21no—
600C2×C4×D59—21no—
601C2×C4×D59—44no—
602C2×C4×D59—44no—
603C2×Dic118—22no—
604C2×Dic118—22no—
605C2×Dic118—21no—
606C2×Dic118—21no—
607C2×Dic118—41no—
608C2×Dic118—41no—
609C2×Dic118C2411yescharacteristic
610C2×Dic118C2411yescharacteristic
611C2×Dic118C2411yescharacteristic
612C4⋊C4×C59—21no—
613C4⋊C4×C59—21no—
614C4⋊C4×C59—21no—
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×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59—21no—
626C4⋊C4×C59C2×D411yescharacteristic
627C4⋊C4×C59C2×D411yescharacteristic
628C4⋊C4×C59C2×D411yescharacteristic
629C4⋊C4×C59C2×D411yescharacteristic
630C4⋊C4×C59C2411yescharacteristic
631C4⋊C4×C59C2411yescharacteristic
632C4⋊C4×C59C2411yescharacteristic
633C4⋊C4×C59C2411yescharacteristic
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×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59—21no—
650C22⋊C4×C59—21no—
651C22⋊C4×C59—21no—
652C22⋊C4×C59—21no—
653C22⋊C4×C59—21no—
654C22⋊C4×C59C2×D411yescharacteristic
655C22⋊C4×C59C2×D411yescharacteristic
656C22⋊C4×C59C2×D411yescharacteristic
657C22⋊C4×C59C2×D411yescharacteristic
658C22⋊C4×C59C2×D411yescharacteristic
659C22⋊C4×C59C2×D411yescharacteristic
660C22⋊C4×C59C2×D411yescharacteristic
661C22⋊C4×C59C2×D411yescharacteristic
662C42×C59—21no—
663C42×C59—21no—
664C42×C59—21no—
665C42×C59—21no—
666C42×C59C2×D411yescharacteristic
667C42×C59C2×D411yescharacteristic
668C42×C59C2411yescharacteristic
669C42×C59C2411yescharacteristic
670C22⋊Dic59—21no—
671C22⋊Dic59—21no—
672C22⋊Dic59—21no—
673C22⋊Dic59—21no—
674C22⋊Dic59—21no—
675#11745672—22no—
676#11745672—22no—
677#11745672—41no—
678#11745672—41no—
679#11745672—41no—
680#11745672—41no—
681#11745671—22no—
682#11745671—22no—
683#11745671—41no—
684#11745671—41no—
685#11745671—41no—
686#11745671—41no—
687#11745670—22no—
688#11745670—22no—
689#11745670—41no—
690#11745670—41no—
691#11745670—41no—
692#11745670—41no—
693#11745669—22no—
694#11745669—22no—
695#11745669—41no—
696#11745669—41no—
697#11745669—41no—
698#11745669—41no—
699(C2×D59)⋊C4—21no—
700(C2×D59)⋊C4—21no—
701(C2×D59)⋊C4—21no—
702(C2×D59)⋊C4—21no—
703(C2×D59)⋊C4—21no—
704(C2×D59)⋊C4—21no—
705(C2×D59)⋊C4—21no—
706(C2×D59)⋊C4—21no—
707(C2×D59)⋊C4—21no—
708(C2×D59)⋊C4—21no—
709C4⋊Dic59—21no—
710C4⋊Dic59—21no—
711C4⋊Dic59C2411yescharacteristic
712C4⋊Dic59C2411yescharacteristic
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—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—22no—
739C23×C59—21no—
740C23×C59—21no—
741C23×C59—41no—
742C23×C59—41no—
743C23×C59—41no—
744C23×C59—41no—
745C23×C59—41no—
746C23×C59—42no—
747C23×C59—81no—
748C23×C59—81no—
749C23×C59C22×D411yescharacteristic
750C23×C59C22×D411yescharacteristic
751C23×C59C22×D411yescharacteristic
752C23×C59C22×D411yescharacteristic
753C23×C59C22×D411yescharacteristic
754C22×D59—21no—
755C22×D59—21no—
756C22×D59—21no—
757C22×D59—42no—
758C22×D59—42no—
759C22×D59—42no—
760C22×D59—42no—
761C22×D59—81no—
762C22×D59—81no—
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—81no—
768D4×C59—22no—
769D4×C59—22no—
770D4×C59—21no—
771D4×C59—21no—
772D4×C59—21no—
773D4×C59—21no—
774D4×C59—41no—
775D4×C59—41no—
776D4×C59—42no—
777D4×C59—42no—
778D4×C59—42no—
779D4×C59—42no—
780D4×C59—81no—
781D4×C59—81no—
782D4×C59—81no—
783D4×C59—81no—
784D4×C59—81no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—41no—
802C2×C4×C59—41no—
803C2×C4×C59—41no—
804C2×C4×C59—41no—
805C2×C4×C59—41no—
806C2×C4×C59—41no—
807C2×C4×C59—41no—
808C2×C4×C59—41no—
809C2×C4×C59—42no—
810C2×C4×C59—81no—
811C2×C4×C59—81no—
812C2×C4×C59—81no—
813C2×C4×C59—81no—
814C2×C4×C59—81no—
815C2×C4×C59—81no—
816C2×C4×C59C22×D411yescharacteristic
817C2×C4×C59C22×D411yescharacteristic
818C2×C4×C59C22×D411yescharacteristic
819C2×C4×C59C22×D411yescharacteristic
820C2×C4×C59C22×D411yescharacteristic
821C2×C4×C59C22×D411yescharacteristic
822C2×C4×C59C22×D411yescharacteristic
823C2×C4×C59C22×D411yescharacteristic
824C2×C4×C59C22×D411yescharacteristic
825C2×C4×C59C2511yescharacteristic
826C22⋊D59—24no—
827C22⋊D59—42no—
828C22⋊D59—42no—
829C22⋊D59—42no—
830C22⋊D59—42no—
831C22⋊D59—42no—
832C22⋊D59—42no—
833C22⋊D59—42no—
834C22⋊D59—42no—
835C22⋊D59—81no—
836C22⋊D59—81no—
837C2×Dic59—21no—
838C2×Dic59—21no—
839C2×Dic59—21no—
840C2×Dic59—21no—
841C2×Dic59—21no—
842C2×Dic59—42no—
843C2×Dic59—42no—
844D236—21no—
845D236—21no—
846D236—21no—
847D236—21no—
848D236—21no—
849D236—42no—
850D236—42no—
851D236—42no—
852D236—81no—
853D236H(5,𝔽2)12yes—
854C4×D59—24no—
855C4×D59—42no—
856C4×D59—42no—
857C4×D59—42no—
858C4×D59—42no—
859C4×D59—42no—
860C4×D59—42no—
861C4×D59—42no—
862C4×D59—81no—
863Dic118—21no—
864Dic118—21no—
865Dic118—21no—
866Dic118—21no—
867Dic118—21no—
868Dic118—42no—
869Dic118—42no—
870Dic118H(5,𝔽2)12yes—
871C59⋊C8—21no—
872C59⋊C8—21no—
873C59⋊C8—21no—
874C59⋊C8—21no—
875C59⋊C8—21no—
876C59⋊C8—21no—
877C59⋊C8—21no—
878C59⋊C8—21no—
879#61606—591nomaximal, Sylow
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—21no—
884C22×C59—21no—
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—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59—41no—
899C22×C59—41no—
900C22×C59—82no—
901C22×C59—82no—
902C22×C59—162no—
903C22×C59#57512yes—
904C22×C59C23×D411yescharacteristic
905C2×D59—22no—
906C2×D59—41no—
907C2×D59—41no—
908C2×D59—41no—
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—41no—
912C2×D59—41no—
913C2×D59—41no—
914C2×D59—84no—
915C2×D59—84no—
916C4×C59—21no—
917C4×C59—21no—
918C4×C59—21no—
919C4×C59—21no—
920C4×C59—21no—
921C4×C59—21no—
922C4×C59—21no—
923C4×C59—21no—
924C4×C59—21no—
925C4×C59—41no—
926C4×C59—41no—
927C4×C59—41no—
928C4×C59—41no—
929C4×C59—41no—
930C4×C59—41no—
931C4×C59C2×H(5,𝔽2)11yescharacteristic
932C4×C59C2×H(5,𝔽2)11yescharacteristic
933Dic59—22no—
934Dic59—41no—
935Dic59—41no—
936Dic59—41no—
937Dic59—41no—
938#3505D5911yescharacteristic, complemented
939D4×#41—591no—
940#3327—591no—
941#3323—591no—
942#3320—591no—
943#3318—591no—
944#3317—591no—
945#3315—591no—
946#3301—591no—
947#3297—591no—
948#3285—591no—
949#3282—591no—
950#3275—591no—
951#3273—591no—
952#3270—591no—
953#3268—591no—
954#3267—591no—
955#3265—591no—
956#3219—591no—
957#3212—591no—
958#3197—591no—
959#3196—591no—
960#3191—591no—
961#3188—591no—
962#3111—591no—
963#3102—591no—
964#3006—591no—
965#3005—591no—
966#3002—591no—
967C2×#452—591no—
968#2974—591no—
969C2×C59—22no—
970C2×C59—41no—
971C2×C59—41no—
972C2×C59—41no—
973C2×C59—41no—
974C2×C59—81no—
975C2×C59—81no—
976C2×C59#348411yescharacteristic
977C2×C59C2×#57511yescharacteristic
978C2×C59#358411yescharacteristic
979D59—42no—
980D59—81no—
981D59—81no—
982C22×#41—591no—
983C22×#41—591no—
984C2×#137—591no—
985C2×AGL(1,ℤ/8)—591no—
986C2×AGL(1,ℤ/8)—591no—
987C2×AGL(1,ℤ/8)—591no—
988C2×#135—591no—
989C2×#135—591no—
990C22×Q16—591no—
991C22×SD16—591no—
992#553—21no—
993#553—21no—
994#553C2×D5911yescharacteristic
995#553C2×D5911yescharacteristic, complemented
996#552C2×D5911yescharacteristic, complemented
997#552C2×D5911yescharacteristic, complemented
998#551—21no—
999#551—21no—
1000#550—591no—
1001D4×Q8—591no—
1002#548—591no—
1003#548—591no—
1004#548C2×D5911yescharacteristic
1005#548C2×D5911yescharacteristic, complemented
1006#547—591no—
1007#547—1181no—
1008#546—591no—
1009#546—591no—
1010#546—1181no—
1011#546—1181no—
1012#546C2×D5911yescharacteristic, complemented
1013#546C2×D5911yescharacteristic, complemented
1014D42—591no—
1015D42—1181no—
1016#539—21no—
1017#538—21no—
1018#534—21no—
1019#532—591no—
1020#532—1181no—
1021#529C2×D5911yescharacteristic, complemented
1022#529C2×D5911yescharacteristic, complemented
1023#525—591no—
1024#525—591no—
1025#525—1181no—
1026#525—1181no—
1027#525C2×D5911yescharacteristic, complemented
1028#525C2×D5911yescharacteristic, complemented
1029C2×C22⋊Q8C2×D5911yescharacteristic, complemented
1030C2×#121C2×D5911yescharacteristic, complemented
1031#518—21no—
1032C4×#41—591no—
1033C2×C4×D4—1181no—
1034C2×C4×D4C2×D5911yescharacteristic
1035#497—591no—
1036#496—591no—
1037#495—591no—
1038#495—591no—
1039#491—591no—
1040#490—591no—
1041#488—591no—
1042#488—591no—
1043#485—591no—
1044#485—591no—
1045#485—591no—
1046#485—591no—
1047#484—591no—
1048#484—591no—
1049#482—591no—
1050#482—591no—
1051#482—591no—
1052#482—591no—
1053#481—591no—
1054#481—591no—
1055#479—591no—
1056#479—591no—
1057#478—591no—
1058#478—591no—
1059#470—591no—
1060#470—591no—
1061#470—591no—
1062#469—591no—
1063#468—591no—
1064#468—591no—
1065#468—591no—
1066#468—591no—
1067#467—591no—
1068#466—591no—
1069#466—591no—
1070#466—591no—
1071#465—591no—
1072#465—591no—
1073#465—591no—
1074#465—591no—
1075#464—591no—
1076#464—591no—
1077#464—591no—
1078#464—591no—
1079#463—591no—
1080#463—591no—
1081#463—591no—
1082#463—591no—
1083#462—591no—
1084#461—591no—
1085#460—591no—
1086#459—591no—
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452—591no—
1092#452—591no—
1093#452—591no—
1094#452—591no—
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#452—591no—
1099#452—591no—
1100#452—591no—
1101#451—591no—
1102#451—591no—
1103#450—591no—
1104#450—591no—
1105#449—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#448—591no—
1116#448—591no—
1117#448—591no—
1118#448—591no—
1119#447—591no—
1120#447—591no—
1121#447—591no—
1122#447—591no—
1123#442—591no—
1124#441—591no—
1125#440—591no—
1126#440—591no—
1127C4×Q16—591no—
1128C4×SD16—591no—
1129C4×SD16—591no—
1130C4×D8—591no—
1131#436—591no—
1132#436—591no—
1133#435—591no—
1134#435—591no—
1135#435—591no—
1136#435—591no—
1137C8×D4—591no—
1138C8×D4—591no—
1139#432—591no—
1140#431—591no—
1141#419—591no—
1142#418—591no—
1143#417—591no—
1144#417—591no—
1145#416—591no—
1146#416—591no—
1147C2×#103—591no—
1148C2×#102—591no—
1149#407—591no—
1150#407—591no—
1151C2×C22⋊C8—591no—
1152C2×C22⋊C8—591no—
1153C59#6160611yescharacteristic, complemented, Sylow
1154C2×#41—591no—
1155C2×#41—591no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—591no—
1160C2×#41—591no—
1161C2×#41—1181no—
1162C2×#41—1181no—
1163C2×#41—1181no—
1164C2×#41—1181no—
1165C2×#41—2362no—
1166C2×#41—2362no—
1167C2×#41—2362no—
1168C2×#41—2362no—
1169C2×#41C22×D5911yescharacteristic
1170C2×#41C22×D5911yescharacteristic
1171C22×Q8—591no—
1172C22×Q8—591no—
1173C22×Q8C22×D5911yescharacteristic
1174C22×D4—21no—
1175C22×D4—591no—
1176C22×D4—591no—
1177C22×D4—1181no—
1178C22×D4—1181no—
1179C22×D4—1181no—
1180C22×D4C22⋊D5911yescharacteristic
1181C22×D4C22×D5911yescharacteristic
1182C23×C4—1181no—
1183C23×C4—1181no—
1184C23×C4C22×D5911yescharacteristic
1185C23×C4C22×D5911yescharacteristic
1186#137—2362no—
1187AGL(1,ℤ/8)—2362no—
1188AGL(1,ℤ/8)—2362no—
1189AGL(1,ℤ/8)—2362no—
1190#135—2362no—
1191#135—2362no—
1192C2×Q16—591no—
1193C2×Q16—591no—
1194C2×Q16—591no—
1195C2×Q16—591no—
1196C2×Q16—591no—
1197C2×Q16—591no—
1198C2×Q16—2362no—
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—2362no—
1212C2×D8—591no—
1213C2×D8—591no—
1214C2×D8—591no—
1215C2×D8—591no—
1216C2×D8—591no—
1217C2×D8—591no—
1218C2×M16—591no—
1219C2×M16—591no—
1220C2×M16—591no—
1221C2×M16—591no—
1222C22×C8—591no—
1223C22×C8—591no—
1224C22×C8—591no—
1225C22×C8—591no—
1226C4⋊Q8—591no—
1227C4⋊Q8—1181no—
1228#127—591no—
1229#127—1181no—
1230#126—21no—
1231#126—21no—
1232#126—21no—
1233#126—21no—
1234#126—21no—
1235#126—21no—
1236#125—21no—
1237#125—21no—
1238#125C22×D5911yescharacteristic
1239#125C22×D5911yescharacteristic
1240#124—21no—
1241#124—21no—
1242#124—591no—
1243#124—591no—
1244#124—1181no—
1245#124—1181no—
1246#124C22×D5911yescharacteristic
1247#124C22×D5911yescharacteristic
1248#123—21no—
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123—21no—
1254#123—21no—
1255#123—21no—
1256#123—21no—
1257#123—21no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—591no—
1269C22⋊Q8—591no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—1181no—
1273C22⋊Q8—1181no—
1274C22⋊Q8—1181no—
1275C22⋊Q8—1181no—
1276C22⋊Q8C22×D5911yescharacteristic
1277C22⋊Q8C22×D5911yescharacteristic
1278C22⋊Q8C22×D5911yescharacteristic
1279C22⋊Q8C22×D5911yescharacteristic
1280C22⋊Q8C22×D5911yescharacteristic
1281C22⋊Q8C22×D5911yescharacteristic
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—591no—
1291#121—591no—
1292#121—591no—
1293#121—591no—
1294#121—1181no—
1295#121—1181no—
1296#121—1181no—
1297#121—1181no—
1298#121—1181no—
1299#121—1181no—
1300#121—1181no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121C22×D5911yescharacteristic
1305#121C22×D5911yescharacteristic
1306#121C22×D5911yescharacteristic
1307#121C22×D5911yescharacteristic
1308#121C22×D5911yescharacteristic
1309#121C22×D5911yescharacteristic
1310#120—21no—
1311#120—21no—
1312#120—21no—
1313#120—21no—
1314#120—1181no—
1315#120—1181no—
1316#120—1181no—
1317#120—1181no—
1318#120—1181no—
1319#120—1181no—
1320C4×Q8—591no—
1321C4×Q8—591no—
1322C4×Q8C22×D5911yescharacteristic
1323C4×Q8C22×D5911yescharacteristic
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—591no—
1335C4×D4—591no—
1336C4×D4—1181no—
1337C4×D4—1181no—
1338C4×D4—1181no—
1339C4×D4—1181no—
1340C4×D4—1181no—
1341C4×D4—1181no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4C22⋊D5911yescharacteristic
1349C4×D4C22⋊D5911yescharacteristic
1350C4×D4C22⋊D5911yescharacteristic
1351C4×D4C22⋊D5911yescharacteristic
1352C4×D4C22×D5911yescharacteristic
1353C4×D4C22×D5911yescharacteristic
1354C4×D4C22×D5911yescharacteristic
1355C4×D4C22×D5911yescharacteristic
1356C4×D4C22×D5911yescharacteristic
1357C4×D4C22×D5911yescharacteristic
1358#117—21no—
1359#117—21no—
1360#117—21no—
1361#117—21no—
1362#117—591no—
1363#117—1181no—
1364#117C22×D5911yescharacteristic
1365#117C22×D5911yescharacteristic
1366C2×C4⋊C4—21no—
1367C2×C4⋊C4—1181no—
1368C2×C4⋊C4C22⋊D5911yescharacteristic
1369C2×C4⋊C4C22×D5911yescharacteristic
1370C2×C4⋊C4C22×D5911yescharacteristic
1371C2×C22⋊C4—21no—
1372C2×C22⋊C4—21no—
1373C2×C22⋊C4—21no—
1374C2×C22⋊C4—21no—
1375C2×C22⋊C4—1181no—
1376C2×C22⋊C4—1181no—
1377C2×C22⋊C4C22⋊D5911yescharacteristic
1378C2×C22⋊C4C22⋊D5911yescharacteristic
1379C2×C42—1181no—
1380C2×C42C22×D5911yescharacteristic
1381#107—591no—
1382#107—591no—
1383#107—591no—
1384#107—591no—
1385#106—591no—
1386#106—591no—
1387#106—591no—
1388#106—591no—
1389C4⋊C8—591no—
1390C4⋊C8—591no—
1391C4⋊C8—591no—
1392C4⋊C8—591no—
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103—591no—
1398#103—591no—
1399#103—591no—
1400#103—591no—
1401#103—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—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—
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8—591no—
1429C22⋊C8—591no—
1430C22⋊C8—591no—
1431C22⋊C8—591no—
1432C22⋊C8—591no—
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8—591no—
1436C22⋊C8—591no—
1437#97—591no—
1438#97—591no—
1439C4×C8—591no—
1440C4×C8—591no—
1441C24—21no—
1442C24—1181no—
1443C24—1181no—
1444C24C2×C22⋊D5911yescharacteristic
1445C24C2×C22⋊D5911yescharacteristic
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—1182no—
1451#41—1182no—
1452#41—1182no—
1453#41—1182no—
1454#41—1182no—
1455#41—1182no—
1456#41—2361no—
1457#41—2361no—
1458#41—2361no—
1459#41—2361no—
1460#41—2361no—
1461#41—2361no—
1462#41—2361no—
1463#41—2361no—
1464#41—2364no—
1465#41—2364no—
1466#41—2364no—
1467#41—2364no—
1468C2×Q8—21no—
1469C2×Q8—41no—
1470C2×Q8—41no—
1471C2×Q8—591no—
1472C2×Q8—591no—
1473C2×Q8—591no—
1474C2×Q8—1182no—
1475C2×Q8—1182no—
1476C2×Q8—1181no—
1477C2×Q8—1181no—
1478C2×Q8—2361no—
1479C2×Q8—2361no—
1480C2×Q8C23×D5911yescharacteristic
1481C2×Q8C23×D5911yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—41no—
1492C2×D4—41no—
1493C2×D4—42no—
1494C2×D4—44no—
1495C2×D4—591no—
1496C2×D4—591no—
1497C2×D4—591no—
1498C2×D4—1182no—
1499C2×D4—1182no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—2361no—
1516C2×D4—2361no—
1517C2×D4—2364no—
1518C2×D4—2364no—
1519C2×D4—2364no—
1520C2×D4C2×C22⋊D5911yescharacteristic
1521C2×D4C2×C22⋊D5911yescharacteristic
1522C2×D4C2×C22⋊D5911yescharacteristic
1523C2×D4C2×C22⋊D5911yescharacteristic
1524C2×D4C23×D5911yescharacteristic
1525C2×D4C23×D5911yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—41no—
1534C22×C4—41no—
1535C22×C4—41no—
1536C22×C4—41no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—2364no—
1549C22×C4—2364no—
1550C22×C4C2×C22⋊D5911yescharacteristic
1551C22×C4C2×C22⋊D5911yescharacteristic
1552C22×C4C2×C22⋊D5911yescharacteristic
1553C22×C4C2×C22⋊D5911yescharacteristic
1554C22×C4C2×C22⋊D5911yescharacteristic
1555C22×C4C2×C22⋊D5911yescharacteristic
1556C22×C4C2×C22⋊D5911yescharacteristic
1557C22×C4C2×C22⋊D5911yescharacteristic
1558C22×C4C23×D5911yescharacteristic
1559C22×C4C23×D5911yescharacteristic
1560C22×C4C23×D5911yescharacteristic
1561C22×C4C23×D5911yescharacteristic
1562C22×C4C23×D5911yescharacteristic
1563Q16—1182no—
1564Q16—1182no—
1565Q16—2361no—
1566Q16—2361no—
1567Q16—2361no—
1568Q16—2361no—
1569SD16—1182no—
1570SD16—1182no—
1571SD16—1182no—
1572SD16—1182no—
1573SD16—2361no—
1574SD16—2361no—
1575SD16—2361no—
1576SD16—2361no—
1577SD16—2361no—
1578SD16—2361no—
1579SD16—2361no—
1580SD16—2361no—
1581D8—1182no—
1582D8—1182no—
1583D8—2361no—
1584D8—2361no—
1585D8—2361no—
1586D8—2361no—
1587M16—2361no—
1588M16—2361no—
1589M16—2361no—
1590M16—2361no—
1591C2×C8—591no—
1592C2×C8—591no—
1593C2×C8—591no—
1594C2×C8—591no—
1595C2×C8—591no—
1596C2×C8—591no—
1597C2×C8—591no—
1598C2×C8—591no—
1599C2×C8—2361no—
1600C2×C8—2361no—
1601C2×C8—2361no—
1602C2×C8—2361no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—21no—
1614C4⋊C4—21no—
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—591no—
1618C4⋊C4—591no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4C2×C22⋊D5911yescharacteristic
1628C4⋊C4C2×C22⋊D5911yescharacteristic
1629C4⋊C4C2×C22⋊D5911yescharacteristic
1630C4⋊C4C2×C22⋊D5911yescharacteristic
1631C4⋊C4C23×D5911yescharacteristic
1632C4⋊C4C23×D5911yescharacteristic
1633C4⋊C4C23×D5911yescharacteristic
1634C4⋊C4C23×D5911yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
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—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
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⋊C4C2×C22⋊D5911yescharacteristic
1671C22⋊C4C2×C22⋊D5911yescharacteristic
1672C22⋊C4C2×C22⋊D5911yescharacteristic
1673C22⋊C4C2×C22⋊D5911yescharacteristic
1674C22⋊C4C2×C22⋊D5911yescharacteristic
1675C22⋊C4C2×C22⋊D5911yescharacteristic
1676C22⋊C4C2×C22⋊D5911yescharacteristic
1677C22⋊C4C2×C22⋊D5911yescharacteristic
1678C42—21no—
1679C42—21no—
1680C42—21no—
1681C42—21no—
1682C42—1181no—
1683C42—1181no—
1684C42—1181no—
1685C42C2×C22⋊D5911yescharacteristic
1686C42C2×C22⋊D5911yescharacteristic
1687C42C23×D5911yescharacteristic
1688C42C23×D5911yescharacteristic
1689C23—22no—
1690C23—21no—
1691C23—21no—
1692C23—41no—
1693C23—41no—
1694C23—41no—
1695C23—41no—
1696C23—41no—
1697C23—42no—
1698C23—81no—
1699C23—81no—
1700C23—1181no—
1701C23—1181no—
1702C23—1181no—
1703C23—4721no—
1704C23—4721no—
1705C23—2362no—
1706C23—2362no—
1707C23—2362no—
1708C23—2362no—
1709C23C22×C22⋊D5911yescharacteristic
1710C23C22×C22⋊D5911yescharacteristic
1711C23C22×C22⋊D5911yescharacteristic
1712C23C22×C22⋊D5911yescharacteristic
1713C23C22×C22⋊D5911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—81no—
1719Q8—592no—
1720Q8—1181no—
1721Q8—1181no—
1722Q8—1181no—
1723Q8—1181no—
1724Q8—1181no—
1725Q8—2362no—
1726Q8—2362no—
1727D4—22no—
1728D4—22no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—41no—
1734D4—41no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—42no—
1739D4—81no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743D4—81no—
1744D4—592no—
1745D4—1184no—
1746D4—1181no—
1747D4—1181no—
1748D4—1181no—
1749D4—1181no—
1750D4—1181no—
1751D4—4721no—
1752D4—4721no—
1753D4—4721no—
1754D4—2362no—
1755D4—2362no—
1756D4—2362no—
1757D4—2362no—
1758D4—2362no—
1759D4—2362no—
1760D4—2362no—
1761D4—2362no—
1762D4—2362no—
1763D4—2362no—
1764D4—2362no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—42no—
1790C2×C4—81no—
1791C2×C4—81no—
1792C2×C4—81no—
1793C2×C4—81no—
1794C2×C4—81no—
1795C2×C4—81no—
1796C2×C4—1184no—
1797C2×C4—1181no—
1798C2×C4—1181no—
1799C2×C4—1181no—
1800C2×C4—1181no—
1801C2×C4—1181no—
1802C2×C4—4721no—
1803C2×C4—2362no—
1804C2×C4—2362no—
1805C2×C4—2362no—
1806C2×C4—2362no—
1807C2×C4—2362no—
1808C2×C4—2362no—
1809C2×C4—2362no—
1810C2×C4—2362no—
1811C2×C4—2362no—
1812C2×C4C22×C22⋊D5911yescharacteristic
1813C2×C4C22×C22⋊D5911yescharacteristic
1814C2×C4C22×C22⋊D5911yescharacteristic
1815C2×C4C22×C22⋊D5911yescharacteristic
1816C2×C4C22×C22⋊D5911yescharacteristic
1817C2×C4C22×C22⋊D5911yescharacteristic
1818C2×C4C22×C22⋊D5911yescharacteristic
1819C2×C4C22×C22⋊D5911yescharacteristic
1820C2×C4C22×C22⋊D5911yescharacteristic
1821C2×C4C24×D5911yescharacteristic
1822C8—1181no—
1823C8—1181no—
1824C8—1181no—
1825C8—1181no—
1826C8—1181no—
1827C8—1181no—
1828C8—1181no—
1829C8—1181no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—21no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—82no—
1851C22—82no—
1852C22—162no—
1853C22—1182no—
1854C22—4724no—
1855C22—4724no—
1856C22—2361no—
1857C22—2361no—
1858C22—2361no—
1859C22—2361no—
1860C22—2361no—
1861C22—2361no—
1862C22—2361no—
1863C22—2361no—
1864C22#1683820012yes—
1865C22C23×C22⋊D5911yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—21no—
1872C4—21no—
1873C4—21no—
1874C4—21no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—1182no—
1882C4—2361no—
1883C4—2361no—
1884C4—2361no—
1885C4—2361no—
1886C4H(5,𝔽2)×D5911yescharacteristic
1887C4H(5,𝔽2)×D5911yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—41no—
1891C2—41no—
1892C2—41no—
1893C2—81no—
1894C2—81no—
1895C2—4721no—
1896C2—4721no—
1897C2—2362no—
1898C2#2143772711yescharacteristic
1899C2C2×#1683820011yescharacteristic
1900C2#2143886711yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3505C2
socleC22×C59C23×D4
hypercenter#3505D59
hypocenterC59#61606
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3505

Complements

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

NH ≅ G/Ntype
1. D4×#11745685C2semidirect
2. #21436358C2semidirect
3. #21436306C2semidirect
4. #21436261C2semidirect
5. #21436231C2semidirect
6. #21436216C2semidirect
7. #21436186C2semidirect
8. #21435992C2semidirect
9. #21435940C2semidirect
10. #21435833C2semidirect
11. #21435804C2semidirect
12. #21435723C2semidirect
13. #21435703C2semidirect
14. #21435662C2semidirect
15. #21435632C2semidirect
16. #21435617C2semidirect
17. #21435592C2semidirect
18. #21435129C2semidirect
19. #21435068C2semidirect
20. #21434933C2semidirect
21. #21434926C2semidirect
22. #21434884C2semidirect
23. #21434861C2semidirect
24. #21434199C2semidirect
25. #21434108C2semidirect
26. #21433346C2semidirect
27. #21433336C2semidirect
28. #21433312C2semidirect
29. C2×#16837562C2semidirect
30. #21433131C2semidirect
31. C59×#3505C2semidirect
33. C22×#11745685C22semidirect
34. C2×#14273757C22semidirect
35. C2×#14273753C22semidirect
36. C2×#14273753C22semidirect
37. C2×#14273752C22semidirect
38. C2×#14273747C22semidirect
39. C2×#14273747C22semidirect
40. C22×#11745672C22semidirect
41. C22×#11745671C22semidirect
43. D4×Dic118C22semidirect
45. #16838061C22semidirect
49. #16838048C22semidirect
52. D4×D236C22semidirect
54. #16837952C22semidirect
57. #16837913C22semidirect
60. C4×#11745685C22semidirect
62. #16837797C22semidirect
63. #16837792C22semidirect
64. #16837784C22semidirect
65. #16837784C22semidirect
66. #16837772C22semidirect
67. #16837768C22semidirect
68. #16837759C22semidirect
69. #16837759C22semidirect
70. #16837743C22semidirect
71. #16837743C22semidirect
72. #16837740C22semidirect
73. #16837740C22semidirect
74. #16837737C22semidirect
75. #16837737C22semidirect
76. #16837726C22semidirect
77. #16837726C22semidirect
78. #16837723C22semidirect
79. #16837723C22semidirect
80. #16837720C22semidirect
81. #16837720C22semidirect
82. #16837706C22semidirect
83. #16837706C22semidirect
84. #16837699C22semidirect
85. #16837699C22semidirect
86. #16837658C22semidirect
87. #16837658C22semidirect
88. #16837658C22semidirect
89. #16837653C22semidirect
90. #16837650C22semidirect
91. #16837650C22semidirect
92. #16837650C22semidirect
93. #16837646C22semidirect
94. #16837641C22semidirect
95. #16837636C22semidirect
96. #16837636C22semidirect
97. #16837636C22semidirect
98. #16837633C22semidirect
99. #16837629C22semidirect
100. #16837629C22semidirect
101. #16837629C22semidirect
102. #16837624C22semidirect
103. #16837624C22semidirect
104. #16837621C22semidirect
105. #16837621C22semidirect
106. #16837617C22semidirect
107. #16837617C22semidirect
108. #16837614C22semidirect
109. #16837614C22semidirect
110. #16837612C22semidirect
111. #16837607C22semidirect
112. #16837602C22semidirect
113. #16837597C22semidirect
114. #16837564C22semidirect
115. #16837564C22semidirect
116. #16837562C22semidirect
117. #16837562C22semidirect
118. #16837562C22semidirect
119. #16837562C22semidirect
120. #16837562C22semidirect
121. #16837562C22semidirect
122. #16837562C22semidirect
123. #16837562C22semidirect
124. #16837562C22semidirect
125. #16837562C22semidirect
126. #16837562C22semidirect
127. #16837562C22semidirect
128. #16837558C22semidirect
129. #16837557C22semidirect
130. #16837553C22semidirect
131. #16837552C22semidirect
132. #16837547C22semidirect
133. #16837547C22semidirect
136. #16837545C22semidirect
137. #16837545C22semidirect
138. #16837545C22semidirect
139. #16837545C22semidirect
140. #16837545C22semidirect
141. #16837545C22semidirect
142. #16837541C22semidirect
143. #16837540C22semidirect
144. #16837540C22semidirect
145. #16837540C22semidirect
146. #16837536C22semidirect
147. #16837535C22semidirect
148. #16837535C22semidirect
149. #16837535C22semidirect
150. #16837512C22semidirect
151. #16837507C22semidirect
152. #16837502C22semidirect
153. #16837500C22semidirect
154. C4×#11745672C22semidirect
155. C4×#11745671C22semidirect
156. C4×#11745670C22semidirect
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. #16837410C22semidirect
169. #16837406C22semidirect
170. #16837401C22semidirect
171. #16837401C22semidirect
172. #16837396C22semidirect
173. #16837396C22semidirect
174. C2×#14273650C22semidirect
175. C2×#14273647C22semidirect
176. #16837366C22semidirect
177. #16837366C22semidirect
178. C2×C22⋊(C59⋊C8)C22semidirect
179. C2×C22⋊(C59⋊C8)C22semidirect
183. C59×#553C22semidirect
184. C59×#552C22semidirect
185. C59×#552C22semidirect
189. C59×#548C22semidirect
190. C59×#546C22semidirect
191. C59×#546C22semidirect
195. C59×#529C22semidirect
196. C59×#529C22semidirect
197. C59×#525C22semidirect
198. C59×#525C22semidirect
199. C2×C22⋊Q8×C59C22semidirect
200. C2×#121×C59C22semidirect
938. #3505D59semidirect
995. #553C2×D59semidirect
996. #552C2×D59semidirect
997. #552C2×D59semidirect
1005. #548C2×D59semidirect
1012. #546C2×D59semidirect
1013. #546C2×D59semidirect
1021. #529C2×D59semidirect
1022. #529C2×D59semidirect
1027. #525C2×D59semidirect
1028. #525C2×D59semidirect
1029. C2×C22⋊Q8C2×D59semidirect
1030. C2×#121C2×D59semidirect
1153. C59#61606semidirect

Maximal subgroups

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

subgroupindex
D4×#117456852
#214363582
#214363062
#214362612
#214362312
#214362162
#214361862
#214359922
#214359402
#214358332
#214358042
#214357232
#214357032
#214356622
#214356322
#214356172
#214355922
#214351292
#214350682
#214349332
#214349262
#214348842
#214348612
#214341992
#214341082
#214333462
#214333362
#214333122
C2×#168375622
#214331312
C59×#35052
#6160659