Finite Group Databasebeta

← #29475956

Subgroups — #29475956

Order 15104.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437883C211yesmaximal, characteristic, complemented
2#21436358C211yesmaximal, characteristic, complemented
3#21436306C211yesmaximal, characteristic, complemented
4#21436276C211yesmaximal, characteristic, complemented
5#21436246C211yesmaximal, characteristic, complemented
6#21436201C211yesmaximal, characteristic, complemented
7#21436171C211yesmaximal, characteristic, complemented
8#21435977C211yesmaximal, characteristic, complemented
9#21435925C211yesmaximal, characteristic, complemented
10#21435833C211yesmaximal, characteristic, complemented
11#21435804C211yesmaximal, characteristic, complemented
12#21435749C211yesmaximal, characteristic, complemented
13#21435728C211yesmaximal, characteristic, complemented
14#21435667C211yesmaximal, characteristic, complemented
15#21435647C211yesmaximal, characteristic, complemented
16#21435622C211yesmaximal, characteristic, complemented
17#21435607C211yesmaximal, characteristic, complemented
18#21435095C211yesmaximal, characteristic, complemented
19#21435057C211yesmaximal, characteristic, complemented
20#21434987C211yesmaximal, characteristic, complemented
21#21434972C211yesmaximal, characteristic, complemented
22#21434963C211yesmaximal, characteristic, complemented
23#21434942C211yesmaximal, characteristic, complemented
24#21434199C211yesmaximal, characteristic, complemented
25#21434161C211yesmaximal, characteristic, complemented
26#21433408C211yesmaximal, characteristic, complemented
27#21433397C211yesmaximal, characteristic, complemented
28#21433389C211yesmaximal, characteristic, complemented
29#21433371C211yesmaximal, characteristic, complemented
30#21433172C211yesmaximal, characteristic, complemented
31C59×#3547C211yesmaximal, characteristic, complemented
32C2×#14273774C2211yescharacteristic
33C2×#14273773C2211yescharacteristic
34C2×#14273758C2211yescharacteristic
35C2×#14273758C2211yescharacteristic, complemented
36C2×#14273757C2211yescharacteristic, complemented
37C2×#14273752C2211yescharacteristic
38C2×#14273747C2211yescharacteristic
39C2×#14273747C2211yescharacteristic, complemented
40C22×#11745672C2211yescharacteristic, complemented
41C22×#11745671C2211yescharacteristic
42#16838061C2211yescharacteristic
43#16838061C2211yescharacteristic
44#16838061C2211yescharacteristic
45#16838061C2211yescharacteristic
46#16838048C2211yescharacteristic
47#16838048C2211yescharacteristic
48#16838048C2211yescharacteristic
49#16838048C2211yescharacteristic
50#16838041—21no—
51#16838041—21no—
52#16838041—21no—
53#16838041—21no—
54#16837977—21no—
55#16837973C2211yescharacteristic
56#16837966C2211yescharacteristic
57#16837965—21no—
58#16837951—21no—
59C2×#14273715C2211yescharacteristic
60#124×D59—21no—
61C4×#11745685C2211yescharacteristic
62#16837794C2211yescharacteristic, complemented
63#16837794C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic, complemented
65#16837784C2211yescharacteristic, complemented
66#16837764C2211yescharacteristic, complemented
67#16837764C2211yescharacteristic, complemented
68#16837759C2211yescharacteristic, complemented
69#16837759C2211yescharacteristic, complemented
70#16837743C2211yescharacteristic, complemented
71#16837743C2211yescharacteristic, complemented
72#16837740C2211yescharacteristic, complemented
73#16837740C2211yescharacteristic, complemented
74#16837740C2211yescharacteristic, complemented
75#16837737C2211yescharacteristic, complemented
76#16837732C2211yescharacteristic, complemented
77#16837726C2211yescharacteristic, complemented
78#16837726C2211yescharacteristic, complemented
79#16837723C2211yescharacteristic, complemented
80#16837720C2211yescharacteristic, complemented
81#16837715C2211yescharacteristic, complemented
82#16837706C2211yescharacteristic, complemented
83#16837699C2211yescharacteristic, complemented
84#16837684C2211yescharacteristic, complemented
85#16837679C2211yescharacteristic, 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#16837641C2211yescharacteristic, complemented
96#16837641C2211yescharacteristic, complemented
97#16837636C2211yescharacteristic, complemented
98#16837633C2211yescharacteristic, complemented
99#16837633C2211yescharacteristic, complemented
100#16837633C2211yescharacteristic, complemented
101#16837629C2211yescharacteristic, complemented
102#16837624C2211yescharacteristic, complemented
103#16837624C2211yescharacteristic, complemented
104#16837624C2211yescharacteristic, complemented
105#16837624C2211yescharacteristic, complemented
106#16837624C2211yescharacteristic, complemented
107#16837624C2211yescharacteristic, complemented
108#16837621C2211yescharacteristic, complemented
109#16837617C2211yescharacteristic, complemented
110#16837617C2211yescharacteristic, complemented
111#16837614C2211yescharacteristic, complemented
112#16837609C2211yescharacteristic, complemented
113#16837604C2211yescharacteristic, complemented
114#16837564C2211yescharacteristic, complemented
115#16837564C2211yescharacteristic, complemented
116#16837562C2211yescharacteristic
117#16837562C2211yescharacteristic
118#16837562C2211yescharacteristic
119#16837562C2211yescharacteristic
120#16837562C2211yescharacteristic
121#16837562C2211yescharacteristic
122#16837562C2211yescharacteristic, complemented
123#16837562C2211yescharacteristic, complemented
124#16837562C2211yescharacteristic, complemented
125#16837558C2211yescharacteristic, complemented
126#16837558C2211yescharacteristic, complemented
127#16837557C2211yescharacteristic, complemented
128#16837557C2211yescharacteristic, complemented
129#16837557C2211yescharacteristic, complemented
130#16837557C2211yescharacteristic, complemented
131#16837557C2211yescharacteristic, complemented
132#16837557C2211yescharacteristic, complemented
133#16837552C2211yescharacteristic
134#16837552C2211yescharacteristic
135#16837552C2211yescharacteristic
136#16837552C2211yescharacteristic
137#16837552C2211yescharacteristic
138#16837552C2211yescharacteristic
139#16837547C2211yescharacteristic, complemented
140#16837547C2211yescharacteristic, complemented
141#16837545C2211yescharacteristic
142#16837545C2211yescharacteristic
143#16837545C2211yescharacteristic, complemented
144#16837541C2211yescharacteristic, complemented
145#16837541C2211yescharacteristic, complemented
146#16837540C2211yescharacteristic, complemented
147#16837540C2211yescharacteristic, complemented
148#16837535C2211yescharacteristic
149#16837535C2211yescharacteristic
150#16837512C2211yescharacteristic, complemented
151#16837507C2211yescharacteristic, complemented
152#16837502C2211yescharacteristic, complemented
153#16837500C2211yescharacteristic, complemented
154C4×#11745672C2211yescharacteristic, complemented
155C4×#11745672C2211yescharacteristic, complemented
156C4×#11745671C2211yescharacteristic, complemented
157C4×#11745671C2211yescharacteristic, 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
170#16837401C2211yescharacteristic
171#16837401C2211yescharacteristic, complemented
172#16837396C2211yescharacteristic
173#16837396C2211yescharacteristic, complemented
174C2×#14273650C2211yescharacteristic, complemented
175C2×#14273647C2211yescharacteristic
176#16837369C2211yescharacteristic
177#16837369C2211yescharacteristic
178#16837369C2211yescharacteristic, complemented
179#16837369C2211yescharacteristic, complemented
180C59×#562—21no—
181C59×#562—21no—
182C59×#555—21no—
183C59×#555C2211yescharacteristic, complemented
184C59×#554C2211yescharacteristic, complemented
185C59×#553—21no—
186C59×#552C2211yescharacteristic, complemented
187C59×#552C2211yescharacteristic, complemented
188D4×Q8×C59C2211yescharacteristic, complemented
189C59×#548C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic, complemented
191C59×#547C2211yescharacteristic, complemented
192C59×#544—21no—
193C59×#542—21no—
194C59×#542—21no—
195C59×#540—21no—
196C59×#537C2211yescharacteristic
197C59×#537C2211yescharacteristic, complemented
198C59×#536C2211yescharacteristic
199C59×#536C2211yescharacteristic, complemented
200C59×#533C2211yescharacteristic, complemented
201C59×#532C2211yescharacteristic
202C59×#529C2211yescharacteristic, complemented
203#14273774—42no—
204#14273774—42no—
205#14273773—42no—
206#14273773—42no—
207C2×#11745689—21no—
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745687—21no—
214C2×#11745687—21no—
215C2×#11745687—21no—
216C22×Dic118C2311yescharacteristic
217C22×Dic118C2311yescharacteristic
218C22×Dic118C2311yescharacteristic
219C2×Q8×D59—21no—
220C22×D236C2311yescharacteristic
221C22×D236C2311yescharacteristic
222C22×D236C2311yescharacteristic
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226#14273758—42no—
227#14273758—42no—
228#14273757—42no—
229#14273752—42no—
230#14273747—42no—
231#14273747—42no—
232C2×#11745672—42no—
233C2×#11745672C2311yescharacteristic
234C2×#11745672C2311yescharacteristic
235C2×#11745672C2311yescharacteristic
236C2×#11745672C2311yescharacteristic
237C2×#11745672C2311yescharacteristic
238C2×#11745672C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240C2×#11745672C2311yescharacteristic
241C2×#11745672C2311yescharacteristic
242C2×#11745670C2311yescharacteristic
243C2×#11745670C2311yescharacteristic
244C2×#11745670C2311yescharacteristic
245C2×#11745671—42no—
246C2×#11745671C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253C2×#11745671C2311yescharacteristic
254C2×#11745671C2311yescharacteristic
255C2×#11745669C2311yescharacteristic
256C2×#11745669C2311yescharacteristic
257C2×#11745669C2311yescharacteristic
258C2×#11745664C2311yescharacteristic
259C2×#11745664C2311yescharacteristic
260C2×#11745664C2311yescharacteristic
261C2×#11745664C2311yescharacteristic
262C22×C59⋊C8C2311yescharacteristic
263C22×C59⋊C8C2311yescharacteristic
264C22×C59⋊C8C2311yescharacteristic
265C22×C59⋊C8C2311yescharacteristic
266#14273725—21no—
267#14273723—21no—
268#14273716—21no—
269#14273715—21no—
270#14273715—21no—
271#14273715C2311yescharacteristic
272#14273715C2311yescharacteristic
273#14273715C2311yescharacteristic
274#14273715C2311yescharacteristic
275#14273714—21no—
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273708—21no—
285#14273708—21no—
286#14273706C2311yescharacteristic
287#14273706C2311yescharacteristic
288#14273706C2311yescharacteristic
289#14273706C2311yescharacteristic
290#14273705—21no—
291#14273705—21no—
292#14273705—21no—
293#14273705—21no—
294#14273701C2311yescharacteristic
295#14273701C2311yescharacteristic
296#14273701C2311yescharacteristic
297#14273701C2311yescharacteristic
298#14273700—21no—
299#14273700—21no—
300#14273700—21no—
301#14273700—21no—
302#14273699—21no—
303#14273699—21no—
304#14273699—21no—
305#14273699—21no—
306#14273695—21no—
307#14273695—21no—
308#14273695—21no—
309#14273695—21no—
310#14273695—21no—
311#14273695—21no—
312C4×Dic118C2311yescharacteristic
313C4×Dic118C2311yescharacteristic
314C4×D236C2311yescharacteristic
315C4×D236C2311yescharacteristic
316C4×C22⋊D59—21no—
317C4×C22⋊D59—21no—
318(C22⋊D59)⋊C4—21no—
319(C22⋊D59)⋊C4—21no—
320(C22⋊D59)⋊C4—21no—
321(C22⋊D59)⋊C4—21no—
322#14273686C2311yescharacteristic
323#14273684—21no—
324C2×(C2×D59)⋊C4—21no—
325C2×(C2×D59)⋊C4—21no—
326C22⋊C4×D59—21no—
327C22⋊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#14273651C2311yescharacteristic
348#14273651C2311yescharacteristic
349#14273650C2311yescharacteristic
350#14273650C2311yescharacteristic
351#14273650C2311yescharacteristic
352#14273650C2311yescharacteristic
353#14273650C2311yescharacteristic
354#14273650C2311yescharacteristic
355#14273650C2311yescharacteristic
356#14273650C2311yescharacteristic
357#14273650C2311yescharacteristic
358#14273650C2311yescharacteristic
359#14273650C2311yescharacteristic
360#14273650C2311yescharacteristic
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
393C2×#41×C59C2311yescharacteristic
394C2×#41×C59C2311yescharacteristic
395C22×Q8×C59C2311yescharacteristic
396C22×Q8×C59C2311yescharacteristic
397C4⋊Q8×C59—21no—
398C4⋊Q8×C59—21no—
399C4⋊Q8×C59—21no—
400C4⋊Q8×C59D411yescharacteristic
401C4⋊Q8×C59C2311yescharacteristic
402C4⋊Q8×C59C2311yescharacteristic
403#127×C59D411yescharacteristic
404#126×C59—21no—
405#126×C59—21no—
406#126×C59—21no—
407#125×C59—21no—
408#125×C59—21no—
409#125×C59—21no—
410#125×C59—21no—
411#125×C59C2311yescharacteristic
412#124×C59—21no—
413#124×C59—21no—
414#124×C59—21no—
415#124×C59—21no—
416#124×C59—21no—
417#124×C59—21no—
418#124×C59D411yescharacteristic
419#124×C59D411yescharacteristic
420#124×C59C2311yescharacteristic
421#123×C59—21no—
422#123×C59—21no—
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—
430C22⋊Q8×C59—21no—
431C22⋊Q8×C59—21no—
432C22⋊Q8×C59—21no—
433C22⋊Q8×C59—21no—
434C22⋊Q8×C59—21no—
435C22⋊Q8×C59—21no—
436C22⋊Q8×C59—21no—
437C22⋊Q8×C59—21no—
438C22⋊Q8×C59—21no—
439C22⋊Q8×C59C2311yescharacteristic
440C22⋊Q8×C59C2311yescharacteristic
441C22⋊Q8×C59C2311yescharacteristic
442C22⋊Q8×C59C2311yescharacteristic
443C22⋊Q8×C59C2311yescharacteristic
444C22⋊Q8×C59C2311yescharacteristic
445C22⋊Q8×C59C2311yescharacteristic
446C22⋊Q8×C59C2311yescharacteristic
447C22⋊Q8×C59C2311yescharacteristic
448#121×C59—21no—
449#121×C59—21no—
450#121×C59—21no—
451#121×C59—21no—
452#121×C59—21no—
453#121×C59—21no—
454#121×C59—21no—
455#121×C59—21no—
456#121×C59—21no—
457#121×C59—21no—
458#121×C59D411yescharacteristic
459#121×C59D411yescharacteristic
460#121×C59D411yescharacteristic
461#121×C59D411yescharacteristic
462#121×C59C2311yescharacteristic
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465C4×Q8×C59—21no—
466C4×Q8×C59C2311yescharacteristic
467C4×Q8×C59C2311yescharacteristic
468C4×Q8×C59C2311yescharacteristic
469C4×D4×C59—21no—
470C4×D4×C59—21no—
471C4×D4×C59—21no—
472C4×D4×C59—21no—
473C4×D4×C59—21no—
474C4×D4×C59C2311yescharacteristic
475C4×D4×C59C2311yescharacteristic
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C4×D4×C59C2311yescharacteristic
479#117×C59—21no—
480#117×C59—21no—
481#117×C59—21no—
482#117×C59—21no—
483#117×C59—21no—
484#117×C59C2311yescharacteristic
485#117×C59C2311yescharacteristic
486C2×C4⋊C4×C59—21no—
487C2×C4⋊C4×C59C2311yescharacteristic
488C2×C4⋊C4×C59C2311yescharacteristic
489C2×C42×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493#41×C59—41no—
494#41×C59—41no—
495#41×C59—41no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499#41×C59—41no—
500#41×C59—41no—
501C2×Q8×C59—21no—
502C2×Q8×C59—21no—
503C2×Q8×C59—21no—
504C2×Q8×C59—41no—
505C2×Q8×C59—41no—
506C2×Q8×C59—41no—
507C2×Q8×C59—41no—
508C2×Q8×C59C2×D411yescharacteristic
509C2×Q8×C59C2×D411yescharacteristic
510C2×Q8×C59C2411yescharacteristic
511C2×Q8×C59C2411yescharacteristic
512C2×Q8×C59C2411yescharacteristic
513C2×D4×C59—21no—
514C2×D4×C59—21no—
515C2×D4×C59—21no—
516C2×D4×C59—21no—
517C2×D4×C59—21no—
518C2×D4×C59C2×D411yescharacteristic
519C2×D4×C59C2×D411yescharacteristic
520C2×D4×C59C2×D411yescharacteristic
521C2×D4×C59C2×D411yescharacteristic
522C2×D4×C59C2×D411yescharacteristic
523C2×D4×C59C2×D411yescharacteristic
524C2×D4×C59C2×D411yescharacteristic
525C2×D4×C59C2×D411yescharacteristic
526C2×D4×C59C2×D411yescharacteristic
527C2×D4×C59C2×D411yescharacteristic
528C2×D4×C59C2411yescharacteristic
529C22×C4×C59—21no—
530C22×C4×C59—21no—
531C22×C4×C59—21no—
532C22×C4×C59—21no—
533C22×C4×C59—21no—
534C22×C4×C59—21no—
535C22×C4×C59—21no—
536C22×C4×C59C2×D411yescharacteristic
537C22×C4×C59C2×D411yescharacteristic
538C22×C4×C59C2411yescharacteristic
539C22×C4×C59C2411yescharacteristic
540C22×C4×C59C2411yescharacteristic
541C22×C4×C59C2411yescharacteristic
542C22×C4×C59C2411yescharacteristic
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C2×C22⋊D59—21no—
551C2×C22⋊D59—21no—
552C22×Dic59—21no—
553C22×Dic59—21no—
554C22×Dic59—21no—
555#11745689—44no—
556Q8×D59—44no—
557#11745687—44no—
558#11745687—44no—
559#11745687—44no—
560D4×D59—44no—
561D4×D59—44no—
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—
573C2×D236—22no—
574C2×D236—22no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—41no—
579C2×D236—41no—
580C2×D236—41no—
581C2×D236—41no—
582C2×D236C2411yescharacteristic
583C2×D236C2411yescharacteristic
584C2×D236C2411yescharacteristic
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×Dic118—22no—
593C2×Dic118—22no—
594C2×Dic118—21no—
595C2×Dic118—21no—
596C2×Dic118—21no—
597C2×Dic118—41no—
598C2×Dic118—41no—
599C2×Dic118—41no—
600C2×Dic118—41no—
601C2×Dic118C2411yescharacteristic
602C2×Dic118C2411yescharacteristic
603C2×Dic118C2411yescharacteristic
604C4⋊C4×C59—21no—
605C4⋊C4×C59—21no—
606C4⋊C4×C59—21no—
607C4⋊C4×C59—21no—
608C4⋊C4×C59—21no—
609C4⋊C4×C59—21no—
610C4⋊C4×C59—21no—
611C4⋊C4×C59—21no—
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×C59C2×D411yescharacteristic
624C4⋊C4×C59C2×D411yescharacteristic
625C4⋊C4×C59C2×D411yescharacteristic
626C4⋊C4×C59C2×D411yescharacteristic
627C4⋊C4×C59C2411yescharacteristic
628C4⋊C4×C59C2411yescharacteristic
629C4⋊C4×C59C2411yescharacteristic
630C4⋊C4×C59C2411yescharacteristic
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×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59C2×D411yescharacteristic
649C22⋊C4×C59C2×D411yescharacteristic
650C22⋊C4×C59C2×D411yescharacteristic
651C22⋊C4×C59C2×D411yescharacteristic
652C22⋊C4×C59C2×D411yescharacteristic
653C22⋊C4×C59C2×D411yescharacteristic
654C22⋊C4×C59C2×D411yescharacteristic
655C22⋊C4×C59C2×D411yescharacteristic
656C42×C59—21no—
657C42×C59—21no—
658C42×C59—21no—
659C42×C59—21no—
660C42×C59—21no—
661C42×C59C2×D411yescharacteristic
662C42×C59C2×D411yescharacteristic
663C42×C59C2411yescharacteristic
664C42×C59C2411yescharacteristic
665C22⋊Dic59—21no—
666C22⋊Dic59—21no—
667C22⋊Dic59—21no—
668C22⋊Dic59—21no—
669C22⋊Dic59—21no—
670#11745672—22no—
671#11745672—22no—
672#11745672—22no—
673#11745672—41no—
674#11745672—41no—
675#11745672—41no—
676#11745672—41no—
677#11745672—41no—
678#11745672—41no—
679#11745671—22no—
680#11745671—22no—
681#11745671—22no—
682#11745671—41no—
683#11745671—41no—
684#11745671—41no—
685#11745671—41no—
686#11745671—41no—
687#11745671—41no—
688#11745670—22no—
689#11745670—41no—
690#11745670—41no—
691#11745669—22no—
692#11745669—41no—
693#11745669—41no—
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—
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—
708C4⋊Dic59C2411yescharacteristic
709C4⋊Dic59C2411yescharacteristic
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719#11745664—41no—
720#11745664—41no—
721#11745664—41no—
722#11745664—41no—
723C2×C59⋊C8—41no—
724C2×C59⋊C8—41no—
725C2×C59⋊C8—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733C2×C59⋊C8C2411yescharacteristic
734C2×C59⋊C8C2411yescharacteristic
735C23×C59—21no—
736C23×C59C22×D411yescharacteristic
737C23×C59C22×D411yescharacteristic
738C23×C59C22×D411yescharacteristic
739C23×C59C22×D411yescharacteristic
740C23×C59C22×D411yescharacteristic
741C22×D59—21no—
742C22×D59—21no—
743C22×D59—21no—
744C22×D59—42no—
745C22×D59—42no—
746C22×D59—42no—
747C22×D59—81no—
748C22×D59—81no—
749C22×D59—81no—
750C22×D59—81no—
751C22×D59—81no—
752C22×D59—81no—
753Q8×C59—21no—
754Q8×C59—21no—
755Q8×C59—21no—
756Q8×C59—21no—
757Q8×C59—21no—
758Q8×C59—21no—
759Q8×C59—41no—
760Q8×C59—41no—
761Q8×C59—81no—
762Q8×C59—81no—
763Q8×C59—81no—
764D4×C59—21no—
765D4×C59—21no—
766D4×C59—41no—
767D4×C59—41no—
768D4×C59—41no—
769D4×C59—41no—
770D4×C59—41no—
771D4×C59—41no—
772D4×C59—41no—
773D4×C59—41no—
774D4×C59—41no—
775D4×C59—41no—
776D4×C59—81no—
777D4×C59—81no—
778D4×C59—81no—
779D4×C59—81no—
780D4×C59—81no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
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—41no—
799C2×C4×C59—41no—
800C2×C4×C59—42no—
801C2×C4×C59—81no—
802C2×C4×C59—81no—
803C2×C4×C59—81no—
804C2×C4×C59—81no—
805C2×C4×C59—81no—
806C2×C4×C59—81no—
807C2×C4×C59C22×D411yescharacteristic
808C2×C4×C59C22×D411yescharacteristic
809C2×C4×C59C22×D411yescharacteristic
810C2×C4×C59C22×D411yescharacteristic
811C2×C4×C59C22×D411yescharacteristic
812C2×C4×C59C22×D411yescharacteristic
813C2×C4×C59C22×D411yescharacteristic
814C2×C4×C59C22×D411yescharacteristic
815C2×C4×C59C22×D411yescharacteristic
816C2×C4×C59C2511yescharacteristic
817C22⋊D59—24no—
818C22⋊D59—42no—
819C22⋊D59—42no—
820C22⋊D59—42no—
821C22⋊D59—42no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C22⋊D59—81no—
825C22⋊D59—81no—
826C2×Dic59—21no—
827C2×Dic59—21no—
828C2×Dic59—21no—
829C2×Dic59—21no—
830C2×Dic59—21no—
831C2×Dic59—42no—
832C2×Dic59—42no—
833C2×Dic59—42no—
834D236—21no—
835D236—21no—
836D236—21no—
837D236—21no—
838D236—21no—
839D236—42no—
840D236—42no—
841D236—42no—
842D236H(5,𝔽2)12yes—
843C4×D59—24no—
844C4×D59—42no—
845C4×D59—42no—
846C4×D59—42no—
847C4×D59—42no—
848C4×D59—81no—
849C4×D59—81no—
850Dic118—21no—
851Dic118—21no—
852Dic118—21no—
853Dic118—21no—
854Dic118—21no—
855Dic118—42no—
856Dic118—42no—
857Dic118—42no—
858Dic118H(5,𝔽2)12yes—
859C59⋊C8—21no—
860C59⋊C8—21no—
861C59⋊C8—21no—
862C59⋊C8—21no—
863C59⋊C8—21no—
864C59⋊C8—21no—
865C59⋊C8—21no—
866C59⋊C8—21no—
867#61691—591nomaximal, Sylow
868C22×C59—21no—
869C22×C59—21no—
870C22×C59—21no—
871C22×C59—21no—
872C22×C59—21no—
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—21no—
878C22×C59—21no—
879C22×C59—21no—
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—41no—
884C22×C59—41no—
885C22×C59—41no—
886C22×C59C23×D411yescharacteristic
887C2×D59—22no—
888C2×D59—41no—
889C2×D59—41no—
890C2×D59—41no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—162no—
897C2×D59—162no—
898C2×D59—162no—
899C4×C59—21no—
900C4×C59—21no—
901C4×C59—21no—
902C4×C59—21no—
903C4×C59—21no—
904C4×C59—21no—
905C4×C59—21no—
906C4×C59—21no—
907C4×C59—21no—
908C4×C59—41no—
909C4×C59—41no—
910C4×C59—41no—
911C4×C59—41no—
912C4×C59—41no—
913C4×C59—41no—
914C4×C59—41no—
915C4×C59C2×H(5,𝔽2)11yescharacteristic
916C4×C59C2×H(5,𝔽2)11yescharacteristic
917Dic59—22no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921Dic59—41no—
922#3547D5911yescharacteristic, complemented
923#3500—591no—
924#3327—591no—
925#3323—591no—
926#3321—591no—
927#3319—591no—
928#3316—591no—
929#3314—591no—
930#3300—591no—
931#3296—591no—
932#3285—591no—
933#3282—591no—
934#3277—591no—
935#3275—591no—
936#3270—591no—
937#3269—591no—
938#3267—591no—
939#3266—591no—
940#3215—591no—
941#3211—591no—
942#3202—591no—
943#3201—591no—
944#3200—591no—
945#3198—591no—
946#3111—591no—
947#3107—591no—
948#3013—591no—
949#3012—591no—
950#3011—591no—
951#3009—591no—
952#2981—591no—
953C2×C59—41no—
954C2×C59—41no—
955C2×C59—41no—
956C2×C59—41no—
957C2×C59—41no—
958C2×C59—81no—
959C2×C59#348411yescharacteristic
960C2×C59#358411yescharacteristic
961C2×C59#358611yescharacteristic
962D59—42no—
963D59—81no—
964D59—81no—
965C2×2−1+4—591no—
966C2×H(5,𝔽2)—591no—
967C2×#137—591no—
968C2×#137—591no—
969C2×#137—591no—
970C2×AGL(1,ℤ/8)—591no—
971C2×#135—591no—
972C2×#135—591no—
973C22×Q16—591no—
974C22×SD16—591no—
975#562—21no—
976#562—21no—
977#555—21no—
978#555C2×D5911yescharacteristic, complemented
979#554C2×D5911yescharacteristic, complemented
980#553—21no—
981#552C2×D5911yescharacteristic, complemented
982#552C2×D5911yescharacteristic, complemented
983D4×Q8C2×D5911yescharacteristic, complemented
984#548—591no—
985#548—591no—
986#548—591no—
987#548—591no—
988#548C2×D5911yescharacteristic, complemented
989#548C2×D5911yescharacteristic, complemented
990#547C2×D5911yescharacteristic, complemented
991#546—591no—
992#546—591no—
993#546—591no—
994#546—591no—
995#546—1181no—
996#546—1181no—
997#546—1181no—
998#546—1181no—
999#544—21no—
1000#542—21no—
1001#542—21no—
1002#540—21no—
1003#537C2×D5911yescharacteristic
1004#537C2×D5911yescharacteristic, complemented
1005#536—591no—
1006#536—1181no—
1007#536C2×D5911yescharacteristic
1008#536C2×D5911yescharacteristic, complemented
1009#535—591no—
1010#535—1181no—
1011#533C2×D5911yescharacteristic, complemented
1012#532—1181no—
1013#532C2×D5911yescharacteristic
1014#529C2×D5911yescharacteristic, complemented
1015C2×#124—591no—
1016C2×#124—1181no—
1017C4×#41—591no—
1018#497—591no—
1019#497—591no—
1020#495—591no—
1021#495—591no—
1022#489—591no—
1023#489—591no—
1024#488—591no—
1025#488—591no—
1026#485—591no—
1027#485—591no—
1028#485—591no—
1029#485—591no—
1030#485—591no—
1031#484—591no—
1032#483—591no—
1033#482—591no—
1034#482—591no—
1035#482—591no—
1036#481—591no—
1037#480—591no—
1038#479—591no—
1039#478—591no—
1040#475—591no—
1041#474—591no—
1042#470—591no—
1043#470—591no—
1044#470—591no—
1045#469—591no—
1046#468—591no—
1047#468—591no—
1048#468—591no—
1049#468—591no—
1050#467—591no—
1051#467—591no—
1052#467—591no—
1053#466—591no—
1054#465—591no—
1055#465—591no—
1056#465—591no—
1057#465—591no—
1058#464—591no—
1059#464—591no—
1060#464—591no—
1061#464—591no—
1062#464—591no—
1063#464—591no—
1064#464—591no—
1065#463—591no—
1066#463—591no—
1067#463—591no—
1068#462—591no—
1069#461—591no—
1070#452—591no—
1071#452—591no—
1072#452—591no—
1073#452—591no—
1074#452—591no—
1075#452—591no—
1076#452—591no—
1077#452—591no—
1078#452—591no—
1079#452—591no—
1080#452—591no—
1081#451—591no—
1082#451—591no—
1083#451—591no—
1084#451—591no—
1085#451—591no—
1086#451—591no—
1087#451—591no—
1088#451—591no—
1089#450—591no—
1090#450—591no—
1091#450—591no—
1092#450—591no—
1093#450—591no—
1094#450—591no—
1095#449—591no—
1096#449—591no—
1097#449—591no—
1098#449—591no—
1099#449—591no—
1100#448—591no—
1101#448—591no—
1102#448—591no—
1103#448—591no—
1104#447—591no—
1105#447—591no—
1106#442—591no—
1107#441—591no—
1108#440—591no—
1109#440—591no—
1110C4×Q16—591no—
1111C4×Q16—591no—
1112C4×SD16—591no—
1113C4×SD16—591no—
1114#436—591no—
1115#436—591no—
1116#435—591no—
1117#435—591no—
1118#435—591no—
1119#435—591no—
1120C8×D4—591no—
1121C8×D4—591no—
1122#432—591no—
1123#431—591no—
1124#419—591no—
1125#418—591no—
1126#417—591no—
1127#417—591no—
1128#416—591no—
1129#416—591no—
1130C2×#103—591no—
1131C2×#102—591no—
1132#408—591no—
1133#408—591no—
1134#408—591no—
1135#408—591no—
1136C59#6169111yescharacteristic, complemented, Sylow
11372−1+4—2362no—
11382−1+4—2362no—
1139H(5,𝔽2)—2362no—
1140H(5,𝔽2)—2362no—
1141C2×#41—591no—
1142C2×#41—591no—
1143C2×#41—591no—
1144C2×#41—591no—
1145C2×#41—591no—
1146C2×#41—1181no—
1147C2×#41—1181no—
1148C2×#41—1181no—
1149C2×#41—1181no—
1150C2×#41C22×D5911yescharacteristic
1151C2×#41C22×D5911yescharacteristic
1152C2×#41C22×D5911yescharacteristic
1153C2×#41C22×D5911yescharacteristic
1154C22×Q8—591no—
1155C22×Q8—591no—
1156C22×Q8—591no—
1157C22×Q8—1181no—
1158C22×Q8C22×D5911yescharacteristic
1159C22×Q8C22×D5911yescharacteristic
1160C22×D4—591no—
1161C22×D4—591no—
1162C22×D4—591no—
1163C22×D4—1181no—
1164C22×D4—1181no—
1165C22×D4—1181no—
1166#137—2362no—
1167#137—2362no—
1168#137—2362no—
1169AGL(1,ℤ/8)—2362no—
1170#135—2362no—
1171#135—2362no—
1172C2×Q16—591no—
1173C2×Q16—591no—
1174C2×Q16—591no—
1175C2×Q16—591no—
1176C2×Q16—591no—
1177C2×Q16—591no—
1178C2×Q16—591no—
1179C2×Q16—591no—
1180C2×Q16—591no—
1181C2×Q16—2362no—
1182C2×SD16—591no—
1183C2×SD16—591no—
1184C2×SD16—591no—
1185C2×SD16—591no—
1186C2×SD16—591no—
1187C2×SD16—591no—
1188C2×SD16—591no—
1189C2×SD16—591no—
1190C2×SD16—591no—
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16—591no—
1194C2×SD16—2362no—
1195C2×D8—591no—
1196C2×D8—591no—
1197C2×D8—591no—
1198C2×M16—591no—
1199C2×M16—591no—
1200C2×M16—591no—
1201C2×M16—591no—
1202C22×C8—591no—
1203C22×C8—591no—
1204C22×C8—591no—
1205C22×C8—591no—
1206C4⋊Q8—21no—
1207C4⋊Q8—21no—
1208C4⋊Q8—21no—
1209C4⋊Q8—1181no—
1210C4⋊Q8C22⋊D5911yescharacteristic
1211C4⋊Q8C22×D5911yescharacteristic
1212C4⋊Q8C22×D5911yescharacteristic
1213#127—1181no—
1214#127C22⋊D5911yescharacteristic
1215#126—21no—
1216#126—21no—
1217#126—21no—
1218#125—21no—
1219#125—21no—
1220#125—21no—
1221#125—21no—
1222#125C22×D5911yescharacteristic
1223#124—21no—
1224#124—21no—
1225#124—21no—
1226#124—21no—
1227#124—21no—
1228#124—21no—
1229#124—591no—
1230#124—591no—
1231#124—591no—
1232#124—591no—
1233#124—1181no—
1234#124—1181no—
1235#124—1181no—
1236#124—1181no—
1237#124—1181no—
1238#124—1181no—
1239#124—1181no—
1240#124—1181no—
1241#124C22⋊D5911yescharacteristic
1242#124C22⋊D5911yescharacteristic
1243#124C22×D5911yescharacteristic
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
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
1282C22⋊Q8C22×D5911yescharacteristic
1283C22⋊Q8C22×D5911yescharacteristic
1284C22⋊Q8C22×D5911yescharacteristic
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—591no—
1296#121—591no—
1297#121—591no—
1298#121—591no—
1299#121—1181no—
1300#121—1181no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121—1181no—
1307#121C22⋊D5911yescharacteristic
1308#121C22⋊D5911yescharacteristic
1309#121C22⋊D5911yescharacteristic
1310#121C22⋊D5911yescharacteristic
1311#121C22×D5911yescharacteristic
1312#121C22×D5911yescharacteristic
1313#121C22×D5911yescharacteristic
1314#120—1181no—
1315#120—1181no—
1316#120—1181no—
1317#120—1181no—
1318#120—1181no—
1319#120—1181no—
1320C4×Q8—21no—
1321C4×Q8—591no—
1322C4×Q8—591no—
1323C4×Q8C22×D5911yescharacteristic
1324C4×Q8C22×D5911yescharacteristic
1325C4×Q8C22×D5911yescharacteristic
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—591no—
1332C4×D4—591no—
1333C4×D4—1181no—
1334C4×D4—1181no—
1335C4×D4—1181no—
1336C4×D4—1181no—
1337C4×D4—1181no—
1338C4×D4—1181no—
1339C4×D4C22×D5911yescharacteristic
1340C4×D4C22×D5911yescharacteristic
1341C4×D4C22×D5911yescharacteristic
1342C4×D4C22×D5911yescharacteristic
1343C4×D4C22×D5911yescharacteristic
1344#117—21no—
1345#117—21no—
1346#117—21no—
1347#117—21no—
1348#117—21no—
1349#117—591no—
1350#117—1181no—
1351#117C22×D5911yescharacteristic
1352#117C22×D5911yescharacteristic
1353C2×C4⋊C4—21no—
1354C2×C4⋊C4C22×D5911yescharacteristic
1355C2×C4⋊C4C22×D5911yescharacteristic
1356C2×C22⋊C4—1181no—
1357C2×C22⋊C4—1181no—
1358C2×C22⋊C4—1181no—
1359C2×C22⋊C4—1181no—
1360C2×C22⋊C4—1181no—
1361C2×C22⋊C4—1181no—
1362C2×C42—1181no—
1363C2×C42C22×D5911yescharacteristic
1364#107—591no—
1365#107—591no—
1366#107—591no—
1367#107—591no—
1368#106—591no—
1369#106—591no—
1370#106—591no—
1371#106—591no—
1372C4⋊C8—591no—
1373C4⋊C8—591no—
1374C4⋊C8—591no—
1375C4⋊C8—591no—
1376#103—591no—
1377#103—591no—
1378#103—591no—
1379#103—591no—
1380#103—591no—
1381#103—591no—
1382#103—591no—
1383#103—591no—
1384#103—591no—
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103—591no—
1393#103—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408C22⋊C8—591no—
1409C22⋊C8—591no—
1410C22⋊C8—591no—
1411C22⋊C8—591no—
1412C22⋊C8—591no—
1413C22⋊C8—591no—
1414C22⋊C8—591no—
1415C22⋊C8—591no—
1416C22⋊C8—591no—
1417C22⋊C8—591no—
1418C22⋊C8—591no—
1419C22⋊C8—591no—
1420#97—591no—
1421#97—591no—
1422C4×C8—591no—
1423C4×C8—591no—
1424C24—1181no—
1425C24—1181no—
1426C24—1181no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—41no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—1182no—
1436#41—1182no—
1437#41—1182no—
1438#41—1182no—
1439#41—1182no—
1440#41—1182no—
1441#41—2361no—
1442#41—2361no—
1443#41—2361no—
1444#41—2361no—
1445#41—2364no—
1446#41—2364no—
1447#41—2364no—
1448#41—2364no—
1449C2×Q8—21no—
1450C2×Q8—21no—
1451C2×Q8—21no—
1452C2×Q8—41no—
1453C2×Q8—41no—
1454C2×Q8—41no—
1455C2×Q8—41no—
1456C2×Q8—591no—
1457C2×Q8—591no—
1458C2×Q8—591no—
1459C2×Q8—1182no—
1460C2×Q8—1182no—
1461C2×Q8—1181no—
1462C2×Q8—1181no—
1463C2×Q8—1181no—
1464C2×Q8—2361no—
1465C2×Q8—2361no—
1466C2×Q8—2361no—
1467C2×Q8—2361no—
1468C2×Q8—2364no—
1469C2×Q8C2×C22⋊D5911yescharacteristic
1470C2×Q8C2×C22⋊D5911yescharacteristic
1471C2×Q8C23×D5911yescharacteristic
1472C2×Q8C23×D5911yescharacteristic
1473C2×Q8C23×D5911yescharacteristic
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—591no—
1480C2×D4—591no—
1481C2×D4—591no—
1482C2×D4—1182no—
1483C2×D4—1182no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1181no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—2361no—
1497C2×D4—2361no—
1498C2×D4—2361no—
1499C2×D4—2361no—
1500C2×D4—2364no—
1501C2×D4—2364no—
1502C2×D4—2364no—
1503C2×D4C2×C22⋊D5911yescharacteristic
1504C2×D4C2×C22⋊D5911yescharacteristic
1505C2×D4C2×C22⋊D5911yescharacteristic
1506C2×D4C2×C22⋊D5911yescharacteristic
1507C2×D4C2×C22⋊D5911yescharacteristic
1508C2×D4C2×C22⋊D5911yescharacteristic
1509C2×D4C2×C22⋊D5911yescharacteristic
1510C2×D4C2×C22⋊D5911yescharacteristic
1511C2×D4C2×C22⋊D5911yescharacteristic
1512C2×D4C2×C22⋊D5911yescharacteristic
1513C2×D4C23×D5911yescharacteristic
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—1181no—
1522C22×C4—1181no—
1523C22×C4—1181no—
1524C22×C4—1181no—
1525C22×C4—1181no—
1526C22×C4—1181no—
1527C22×C4—1181no—
1528C22×C4—1181no—
1529C22×C4—1181no—
1530C22×C4—1181no—
1531C22×C4C2×C22⋊D5911yescharacteristic
1532C22×C4C2×C22⋊D5911yescharacteristic
1533C22×C4C23×D5911yescharacteristic
1534C22×C4C23×D5911yescharacteristic
1535C22×C4C23×D5911yescharacteristic
1536C22×C4C23×D5911yescharacteristic
1537C22×C4C23×D5911yescharacteristic
1538Q16—1182no—
1539Q16—1182no—
1540Q16—1182no—
1541Q16—2361no—
1542Q16—2361no—
1543Q16—2361no—
1544Q16—2361no—
1545Q16—2361no—
1546Q16—2361no—
1547SD16—1182no—
1548SD16—1182no—
1549SD16—1182no—
1550SD16—1182no—
1551SD16—2361no—
1552SD16—2361no—
1553SD16—2361no—
1554SD16—2361no—
1555SD16—2361no—
1556SD16—2361no—
1557SD16—2361no—
1558SD16—2361no—
1559D8—1182no—
1560D8—2361no—
1561D8—2361no—
1562M16—2361no—
1563M16—2361no—
1564M16—2361no—
1565M16—2361no—
1566C2×C8—591no—
1567C2×C8—591no—
1568C2×C8—591no—
1569C2×C8—591no—
1570C2×C8—591no—
1571C2×C8—591no—
1572C2×C8—591no—
1573C2×C8—591no—
1574C2×C8—2361no—
1575C2×C8—2361no—
1576C2×C8—2361no—
1577C2×C8—2361no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—591no—
1598C4⋊C4—591no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4C2×C22⋊D5911yescharacteristic
1606C4⋊C4C2×C22⋊D5911yescharacteristic
1607C4⋊C4C2×C22⋊D5911yescharacteristic
1608C4⋊C4C2×C22⋊D5911yescharacteristic
1609C4⋊C4C23×D5911yescharacteristic
1610C4⋊C4C23×D5911yescharacteristic
1611C4⋊C4C23×D5911yescharacteristic
1612C4⋊C4C23×D5911yescharacteristic
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4C2×C22⋊D5911yescharacteristic
1650C22⋊C4C2×C22⋊D5911yescharacteristic
1651C22⋊C4C2×C22⋊D5911yescharacteristic
1652C22⋊C4C2×C22⋊D5911yescharacteristic
1653C22⋊C4C2×C22⋊D5911yescharacteristic
1654C22⋊C4C2×C22⋊D5911yescharacteristic
1655C22⋊C4C2×C22⋊D5911yescharacteristic
1656C22⋊C4C2×C22⋊D5911yescharacteristic
1657C42—21no—
1658C42—21no—
1659C42—21no—
1660C42—21no—
1661C42—21no—
1662C42—1181no—
1663C42—1181no—
1664C42—1181no—
1665C42C2×C22⋊D5911yescharacteristic
1666C42C2×C22⋊D5911yescharacteristic
1667C42C23×D5911yescharacteristic
1668C42C23×D5911yescharacteristic
1669C23—21no—
1670C23—1181no—
1671C23—1181no—
1672C23—1181no—
1673C23—4721no—
1674C23—4721no—
1675C23—4721no—
1676C23—4721no—
1677C23—4721no—
1678C23—4721no—
1679C23—2362no—
1680C23—2362no—
1681C23—2362no—
1682C23C22×C22⋊D5911yescharacteristic
1683C23C22×C22⋊D5911yescharacteristic
1684C23C22×C22⋊D5911yescharacteristic
1685C23C22×C22⋊D5911yescharacteristic
1686C23C22×C22⋊D5911yescharacteristic
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—41no—
1694Q8—41no—
1695Q8—81no—
1696Q8—81no—
1697Q8—81no—
1698Q8—592no—
1699Q8—1181no—
1700Q8—1181no—
1701Q8—1181no—
1702Q8—1181no—
1703Q8—1181no—
1704Q8—2362no—
1705Q8—2362no—
1706Q8—2362no—
1707D4—21no—
1708D4—21no—
1709D4—41no—
1710D4—41no—
1711D4—41no—
1712D4—41no—
1713D4—41no—
1714D4—41no—
1715D4—41no—
1716D4—41no—
1717D4—41no—
1718D4—41no—
1719D4—81no—
1720D4—81no—
1721D4—81no—
1722D4—81no—
1723D4—81no—
1724D4—592no—
1725D4—1184no—
1726D4—1181no—
1727D4—1181no—
1728D4—1181no—
1729D4—1181no—
1730D4—1181no—
1731D4—4721no—
1732D4—4721no—
1733D4—4721no—
1734D4—4721no—
1735D4—2362no—
1736D4—2362no—
1737D4—2362no—
1738D4—2362no—
1739D4—2362no—
1740D4—2362no—
1741D4—2362no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—42no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—81no—
1765C2×C4—81no—
1766C2×C4—81no—
1767C2×C4—81no—
1768C2×C4—1184no—
1769C2×C4—1181no—
1770C2×C4—1181no—
1771C2×C4—1181no—
1772C2×C4—1181no—
1773C2×C4—1181no—
1774C2×C4—4721no—
1775C2×C4—4721no—
1776C2×C4—2362no—
1777C2×C4—2362no—
1778C2×C4—2362no—
1779C2×C4—2362no—
1780C2×C4—2362no—
1781C2×C4—2362no—
1782C2×C4—2362no—
1783C2×C4C22×C22⋊D5911yescharacteristic
1784C2×C4C22×C22⋊D5911yescharacteristic
1785C2×C4C22×C22⋊D5911yescharacteristic
1786C2×C4C22×C22⋊D5911yescharacteristic
1787C2×C4C22×C22⋊D5911yescharacteristic
1788C2×C4C22×C22⋊D5911yescharacteristic
1789C2×C4C22×C22⋊D5911yescharacteristic
1790C2×C4C22×C22⋊D5911yescharacteristic
1791C2×C4C22×C22⋊D5911yescharacteristic
1792C2×C4C24×D5911yescharacteristic
1793C8—1181no—
1794C8—1181no—
1795C8—1181no—
1796C8—1181no—
1797C8—1181no—
1798C8—1181no—
1799C8—1181no—
1800C8—1181no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—21no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—1182no—
1820C22—9442no—
1821C22—9442no—
1822C22—9442no—
1823C22—2361no—
1824C22—2361no—
1825C22—2361no—
1826C22—2361no—
1827C22—2361no—
1828C22—2361no—
1829C22—2361no—
1830C22—2361no—
1831C22C23×C22⋊D5911yescharacteristic
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—1182no—
1849C4—2361no—
1850C4—2361no—
1851C4—2361no—
1852C4—2361no—
1853C4H(5,𝔽2)×D5911yescharacteristic
1854C4H(5,𝔽2)×D5911yescharacteristic
1855C2—41no—
1856C2—41no—
1857C2—41no—
1858C2—41no—
1859C2—41no—
1860C2—81no—
1861C2—4721no—
1862C2—4721no—
1863C2—2362no—
1864C2#2143772711yescharacteristic
1865C2#2143886711yescharacteristic
1866C2#2143888311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3547C2
socleC22×C59C23×D4
hypercenter#3547D59
hypocenterC59#61691
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #532 ◁ #3547

Complements

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

NH ≅ G/Ntype
1. #21437883C2semidirect
2. #21436358C2semidirect
3. #21436306C2semidirect
4. #21436276C2semidirect
5. #21436246C2semidirect
6. #21436201C2semidirect
7. #21436171C2semidirect
8. #21435977C2semidirect
9. #21435925C2semidirect
10. #21435833C2semidirect
11. #21435804C2semidirect
12. #21435749C2semidirect
13. #21435728C2semidirect
14. #21435667C2semidirect
15. #21435647C2semidirect
16. #21435622C2semidirect
17. #21435607C2semidirect
18. #21435095C2semidirect
19. #21435057C2semidirect
20. #21434987C2semidirect
21. #21434972C2semidirect
22. #21434963C2semidirect
23. #21434942C2semidirect
24. #21434199C2semidirect
25. #21434161C2semidirect
26. #21433408C2semidirect
27. #21433397C2semidirect
28. #21433389C2semidirect
29. #21433371C2semidirect
30. #21433172C2semidirect
31. C59×#3547C2semidirect
35. C2×#14273758C22semidirect
36. C2×#14273757C22semidirect
39. C2×#14273747C22semidirect
40. C22×#11745672C22semidirect
62. #16837794C22semidirect
63. #16837794C22semidirect
64. #16837784C22semidirect
65. #16837784C22semidirect
66. #16837764C22semidirect
67. #16837764C22semidirect
68. #16837759C22semidirect
69. #16837759C22semidirect
70. #16837743C22semidirect
71. #16837743C22semidirect
72. #16837740C22semidirect
73. #16837740C22semidirect
74. #16837740C22semidirect
75. #16837737C22semidirect
76. #16837732C22semidirect
77. #16837726C22semidirect
78. #16837726C22semidirect
79. #16837723C22semidirect
80. #16837720C22semidirect
81. #16837715C22semidirect
82. #16837706C22semidirect
83. #16837699C22semidirect
84. #16837684C22semidirect
85. #16837679C22semidirect
86. #16837658C22semidirect
87. #16837658C22semidirect
88. #16837658C22semidirect
89. #16837653C22semidirect
90. #16837650C22semidirect
91. #16837650C22semidirect
92. #16837650C22semidirect
93. #16837646C22semidirect
94. #16837641C22semidirect
95. #16837641C22semidirect
96. #16837641C22semidirect
97. #16837636C22semidirect
98. #16837633C22semidirect
99. #16837633C22semidirect
100. #16837633C22semidirect
101. #16837629C22semidirect
102. #16837624C22semidirect
103. #16837624C22semidirect
104. #16837624C22semidirect
105. #16837624C22semidirect
106. #16837624C22semidirect
107. #16837624C22semidirect
108. #16837621C22semidirect
109. #16837617C22semidirect
110. #16837617C22semidirect
111. #16837614C22semidirect
112. #16837609C22semidirect
113. #16837604C22semidirect
114. #16837564C22semidirect
115. #16837564C22semidirect
122. #16837562C22semidirect
123. #16837562C22semidirect
124. #16837562C22semidirect
125. #16837558C22semidirect
126. #16837558C22semidirect
127. #16837557C22semidirect
128. #16837557C22semidirect
129. #16837557C22semidirect
130. #16837557C22semidirect
131. #16837557C22semidirect
132. #16837557C22semidirect
139. #16837547C22semidirect
140. #16837547C22semidirect
143. #16837545C22semidirect
144. #16837541C22semidirect
145. #16837541C22semidirect
146. #16837540C22semidirect
147. #16837540C22semidirect
150. #16837512C22semidirect
151. #16837507C22semidirect
152. #16837502C22semidirect
153. #16837500C22semidirect
154. C4×#11745672C22semidirect
155. C4×#11745672C22semidirect
156. C4×#11745671C22semidirect
157. C4×#11745671C22semidirect
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
171. #16837401C22semidirect
173. #16837396C22semidirect
174. C2×#14273650C22semidirect
178. #16837369C22semidirect
179. #16837369C22semidirect
183. C59×#555C22semidirect
184. C59×#554C22semidirect
186. C59×#552C22semidirect
187. C59×#552C22semidirect
188. D4×Q8×C59C22semidirect
189. C59×#548C22semidirect
190. C59×#548C22semidirect
191. C59×#547C22semidirect
197. C59×#537C22semidirect
199. C59×#536C22semidirect
200. C59×#533C22semidirect
202. C59×#529C22semidirect
922. #3547D59semidirect
978. #555C2×D59semidirect
979. #554C2×D59semidirect
981. #552C2×D59semidirect
982. #552C2×D59semidirect
983. D4×Q8C2×D59semidirect
988. #548C2×D59semidirect
989. #548C2×D59semidirect
990. #547C2×D59semidirect
1004. #537C2×D59semidirect
1008. #536C2×D59semidirect
1011. #533C2×D59semidirect
1014. #529C2×D59semidirect
1136. C59#61691semidirect

Maximal subgroups

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

subgroupindex
#214378832
#214363582
#214363062
#214362762
#214362462
#214362012
#214361712
#214359772
#214359252
#214358332
#214358042
#214357492
#214357282
#214356672
#214356472
#214356222
#214356072
#214350952
#214350572
#214349872
#214349722
#214349632
#214349422
#214341992
#214341612
#214334082
#214333972
#214333892
#214333712
#214331722
C59×#35472
#6169159