Finite Group Databasebeta

← #29475237

Subgroups — #29475237

Order 15104.

2100 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
1#21437757C211yesmaximal, characteristic, complemented
2#21436428C211yesmaximal, characteristic, complemented
3#21436358C211yesmaximal, characteristic, complemented
4#21436321C211yesmaximal, characteristic, complemented
5#21436291C211yesmaximal, characteristic, complemented
6#21436171C211yesmaximal, characteristic, complemented
7#21436156C211yesmaximal, characteristic, complemented
8#21436111C211yesmaximal, characteristic, complemented
9#21436096C211yesmaximal, characteristic, complemented
10#21435758C211yesmaximal, characteristic, complemented
11#21435749C211yesmaximal, characteristic, complemented
12#21435728C211yesmaximal, characteristic, complemented
13#21435696C211yesmaximal, characteristic, complemented
14#21435682C211yesmaximal, characteristic, complemented
15#21435647C211yesmaximal, characteristic, complemented
16#21435607C211yesmaximal, characteristic, complemented
17#21435592C211yesmaximal, characteristic, complemented
18#21435184C211yesmaximal, characteristic, complemented
19#21435162C211yesmaximal, characteristic, complemented
20#21434993C211yesmaximal, characteristic, complemented
21#21434978C211yesmaximal, characteristic, complemented
22#21434906C211yesmaximal, characteristic, complemented
23#21434898C211yesmaximal, characteristic, complemented
24#21434352C211yesmaximal, characteristic, complemented
25#21434304C211yesmaximal, characteristic, complemented
26#21433397C211yesmaximal, characteristic, complemented
27#21433371C211yesmaximal, characteristic, complemented
28#21433354C211yesmaximal, characteristic, complemented
29#21433336C211yesmaximal, characteristic, complemented
30#21433158C211yesmaximal, characteristic, complemented
31C59×#3541C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C22×#11745685C2211yescharacteristic
34C2×#14273758C2211yescharacteristic, complemented
35C2×#14273758C2211yescharacteristic, complemented
36C2×#14273758C2211yescharacteristic, complemented
37C2×#14273757C2211yescharacteristic, complemented
38C2×#14273752C2211yescharacteristic, complemented
39C2×#14273752C2211yescharacteristic, complemented
40C2×#14273747C2211yescharacteristic, complemented
41C22×#11745671C2211yescharacteristic, complemented
42#16838073C2211yescharacteristic
43#16838073C2211yescharacteristic
44#16838061C2211yescharacteristic
45#16838061C2211yescharacteristic
46#16838048C2211yescharacteristic
47#16838048C2211yescharacteristic
48#16838044—21no—
49#16838044—21no—
50D4×D236C2211yescharacteristic
51D4×D236C2211yescharacteristic
52#16838034—21no—
53#16838034—21no—
54#16837982—21no—
55#16837980C2211yescharacteristic
56#16837971C2211yescharacteristic
57#16837968—21no—
58#16837915—21no—
59C2×#14273701C2211yescharacteristic
60#121×D59—21no—
61#16837882C2211yescharacteristic
62#16837794C2211yescharacteristic, complemented
63#16837792C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic, complemented
65#16837776C2211yescharacteristic, complemented
66#16837768C2211yescharacteristic, complemented
67#16837764C2211yescharacteristic, complemented
68#16837759C2211yescharacteristic, complemented
69#16837750C2211yescharacteristic, complemented
70#16837743C2211yescharacteristic, complemented
71#16837737C2211yescharacteristic, complemented
72#16837735C2211yescharacteristic, complemented
73#16837735C2211yescharacteristic, complemented
74#16837730C2211yescharacteristic, complemented
75#16837726C2211yescharacteristic, complemented
76#16837726C2211yescharacteristic, complemented
77#16837726C2211yescharacteristic, complemented
78#16837715C2211yescharacteristic, complemented
79#16837715C2211yescharacteristic, complemented
80#16837715C2211yescharacteristic, complemented
81#16837713C2211yescharacteristic, complemented
82#16837706C2211yescharacteristic, complemented
83#16837699C2211yescharacteristic, complemented
84#16837694C2211yescharacteristic, complemented
85#16837679C2211yescharacteristic, complemented
86#16837658C2211yescharacteristic, complemented
87#16837653C2211yescharacteristic, complemented
88#16837653C2211yescharacteristic, complemented
89#16837650C2211yescharacteristic, complemented
90#16837650C2211yescharacteristic, complemented
91#16837650C2211yescharacteristic, complemented
92#16837650C2211yescharacteristic, complemented
93#16837650C2211yescharacteristic, complemented
94#16837650C2211yescharacteristic, complemented
95#16837650C2211yescharacteristic, complemented
96#16837650C2211yescharacteristic, complemented
97#16837646C2211yescharacteristic, complemented
98#16837641C2211yescharacteristic, complemented
99#16837641C2211yescharacteristic, complemented
100#16837636C2211yescharacteristic, complemented
101#16837633C2211yescharacteristic, complemented
102#16837624C2211yescharacteristic, complemented
103#16837624C2211yescharacteristic, complemented
104#16837624C2211yescharacteristic, complemented
105#16837621C2211yescharacteristic, complemented
106#16837617C2211yescharacteristic, complemented
107#16837614C2211yescharacteristic, complemented
108#16837609C2211yescharacteristic, complemented
109#16837604C2211yescharacteristic, complemented
110#16837602C2211yescharacteristic, complemented
111#16837602C2211yescharacteristic, complemented
112#16837602C2211yescharacteristic, complemented
113#16837597C2211yescharacteristic, complemented
114#16837564C2211yescharacteristic, complemented
115#16837562C2211yescharacteristic
116#16837562C2211yescharacteristic
117#16837562C2211yescharacteristic
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#16837558C2211yescharacteristic, complemented
127#16837557C2211yescharacteristic, complemented
128#16837557C2211yescharacteristic, complemented
129#16837552C2211yescharacteristic, complemented
130#16837552C2211yescharacteristic, complemented
131#16837552C2211yescharacteristic, complemented
132#16837552C2211yescharacteristic, complemented
133#16837552C2211yescharacteristic, complemented
134#16837552C2211yescharacteristic, complemented
135#16837552C2211yescharacteristic, complemented
136#16837552C2211yescharacteristic, complemented
137#16837547C2211yescharacteristic, complemented
138#16837547C2211yescharacteristic, complemented
139#16837547C2211yescharacteristic, complemented
140#16837545C2211yescharacteristic
141#16837545C2211yescharacteristic, complemented
142#16837545C2211yescharacteristic, complemented
143#16837545C2211yescharacteristic, complemented
144#16837545C2211yescharacteristic, complemented
145#16837541C2211yescharacteristic, complemented
146#16837541C2211yescharacteristic, complemented
147#16837541C2211yescharacteristic, complemented
148#16837535C2211yescharacteristic, complemented
149#16837535C2211yescharacteristic, complemented
150#16837507C2211yescharacteristic, complemented
151#16837502C2211yescharacteristic, complemented
152#16837500C2211yescharacteristic, complemented
153#16837500C2211yescharacteristic, complemented
154C4×#11745672C2211yescharacteristic, complemented
155C4×#11745672C2211yescharacteristic, complemented
156C4×#11745671C2211yescharacteristic, complemented
157C4×#11745669C2211yescharacteristic, complemented
158#16837480C2211yescharacteristic, complemented
159#16837480C2211yescharacteristic, complemented
160#16837480C2211yescharacteristic, complemented
161#16837480C2211yescharacteristic, complemented
162#16837474C2211yescharacteristic, complemented
163#16837474C2211yescharacteristic, complemented
164#16837474C2211yescharacteristic, complemented
165#16837474C2211yescharacteristic, complemented
166#16837463C2211yescharacteristic, complemented
167#16837463C2211yescharacteristic, complemented
168#16837410C2211yescharacteristic, complemented
169#16837406C2211yescharacteristic, complemented
170#16837406C2211yescharacteristic, complemented
171#16837401C2211yescharacteristic, complemented
172#16837401C2211yescharacteristic, complemented
173#16837401C2211yescharacteristic, complemented
174#16837396C2211yescharacteristic, complemented
175C2×#14273647C2211yescharacteristic, complemented
176#16837369C2211yescharacteristic, complemented
177#16837369C2211yescharacteristic, complemented
178#16837366C2211yescharacteristic, complemented
179#16837366C2211yescharacteristic, complemented
180C59×#563—21no—
181C59×#562—21no—
182C59×#556C2211yescharacteristic, complemented
183C59×#554—21no—
184C59×#554C2211yescharacteristic, complemented
185C59×#553—21no—
186C59×#553C2211yescharacteristic, complemented
187C59×#552C2211yescharacteristic, complemented
188D4×Q8×C59C2211yescharacteristic, complemented
189C59×#548C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic, complemented
191C59×#547C2211yescharacteristic, complemented
192C59×#542—21no—
193C59×#542C2211yescharacteristic, complemented
194C59×#541C2211yescharacteristic, complemented
195C59×#539—21no—
196C59×#538—21no—
197C59×#538—21no—
198C59×#537C2211yescharacteristic, complemented
199C59×#536C2211yescharacteristic, complemented
200C59×#525C2211yescharacteristic
201C59×#525C2211yescharacteristic, complemented
202C2×C22⋊Q8×C59C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689—21no—
206C2×#11745685—21no—
207C2×#11745685—21no—
208C2×#11745685—42no—
209C2×#11745685—42no—
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×#11745685C2311yescharacteristic
216C22×Dic118C2311yescharacteristic
217C22×D236C2311yescharacteristic
218C22×D236C2311yescharacteristic
219C22×D236C2311yescharacteristic
220C22×D236C2311yescharacteristic
221C22×C22⋊D59—21no—
222C22×C22⋊D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C22×C4×D59—21no—
229#14273758—42no—
230#14273758—42no—
231#14273758—42no—
232#14273757—42no—
233#14273752—42no—
234#14273752—42no—
235#14273747—42no—
236C2×#11745672C2311yescharacteristic
237C2×#11745672C2311yescharacteristic
238C2×#11745672C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240C2×#11745672C2311yescharacteristic
241C2×#11745672C2311yescharacteristic
242C2×#11745670C2311yescharacteristic
243C2×#11745670C2311yescharacteristic
244C2×#11745671—42no—
245C2×#11745671C2311yescharacteristic
246C2×#11745671C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253C2×#11745671C2311yescharacteristic
254C2×#11745671C2311yescharacteristic
255C2×#11745671C2311yescharacteristic
256C2×#11745671C2311yescharacteristic
257C2×#11745669C2311yescharacteristic
258C2×#11745669C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745664C2311yescharacteristic
262C2×#11745664C2311yescharacteristic
263C2×#11745664C2311yescharacteristic
264C2×#11745664C2311yescharacteristic
265C2×#11745664C2311yescharacteristic
266C2×#11745664C2311yescharacteristic
267C22×C59⋊C8C2311yescharacteristic
268C22×C59⋊C8C2311yescharacteristic
269#14273724C2311yescharacteristic
270#14273724C2311yescharacteristic
271#14273723—21no—
272#14273723—21no—
273#14273715C2311yescharacteristic
274#14273715C2311yescharacteristic
275#14273713—21no—
276#14273713—21no—
277#14273712—21no—
278#14273712—21no—
279#14273706C2311yescharacteristic
280#14273706C2311yescharacteristic
281#14273705—21no—
282#14273705—21no—
283#14273703—21no—
284#14273702—21no—
285#14273702—21no—
286#14273702—21no—
287#14273702—21no—
288#14273701—21no—
289#14273701—21no—
290#14273701C2311yescharacteristic
291#14273701C2311yescharacteristic
292#14273701C2311yescharacteristic
293#14273701C2311yescharacteristic
294#14273701C2311yescharacteristic
295#14273701C2311yescharacteristic
296#14273700—21no—
297#14273700—21no—
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#14273698—21no—
307#14273697—21no—
308#14273697—21no—
309#14273697—21no—
310#14273697—21no—
311#14273697—21no—
312#14273697—21no—
313#14273695—21no—
314#14273695—21no—
315C4×Dic118C2311yescharacteristic
316C4×Dic118C2311yescharacteristic
317C4×D236C2311yescharacteristic
318C4×D236C2311yescharacteristic
319#14273689—21no—
320#14273689—21no—
321(C22⋊D59)⋊C4—21no—
322(C22⋊D59)⋊C4—21no—
323(C22⋊D59)⋊C4—21no—
324(C22⋊D59)⋊C4—21no—
325#14273685—21no—
326C2×C4⋊Dic59C2311yescharacteristic
327C4⋊C4×D59—21no—
328C2×(C2×D59)⋊C4—21no—
329C22⋊C4×D59—21no—
330C22⋊C4×D59—21no—
331#14273660C2311yescharacteristic
332#14273660C2311yescharacteristic
333#14273660C2311yescharacteristic
334#14273660C2311yescharacteristic
335#14273660C2311yescharacteristic
336#14273660C2311yescharacteristic
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#14273648C2311yescharacteristic
358#14273648C2311yescharacteristic
359#14273647C2311yescharacteristic
360#14273647C2311yescharacteristic
361#14273647C2311yescharacteristic
362#14273647C2311yescharacteristic
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
394C22×Q8×C59C2311yescharacteristic
395C22×Q8×C59C2311yescharacteristic
396C23×C4×C59C2311yescharacteristic
397C4⋊Q8×C59—21no—
398C4⋊Q8×C59—21no—
399C4⋊Q8×C59C2311yescharacteristic
400C4⋊Q8×C59C2311yescharacteristic
401#126×C59—21no—
402#126×C59—21no—
403#126×C59—21no—
404#126×C59—21no—
405#126×C59—21no—
406#126×C59—21no—
407#126×C59—21no—
408#125×C59—21no—
409#125×C59—21no—
410#125×C59—21no—
411#125×C59—21no—
412#125×C59C2311yescharacteristic
413#124×C59—21no—
414#124×C59—21no—
415#124×C59—21no—
416#124×C59—21no—
417#124×C59—21no—
418#124×C59C2311yescharacteristic
419#123×C59—21no—
420#123×C59—21no—
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×C59D411yescharacteristic
428#123×C59D411yescharacteristic
429C22⋊Q8×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×C59D411yescharacteristic
440C22⋊Q8×C59D411yescharacteristic
441C22⋊Q8×C59C2311yescharacteristic
442C22⋊Q8×C59C2311yescharacteristic
443C22⋊Q8×C59C2311yescharacteristic
444C22⋊Q8×C59C2311yescharacteristic
445C22⋊Q8×C59C2311yescharacteristic
446C22⋊Q8×C59C2311yescharacteristic
447C22⋊Q8×C59C2311yescharacteristic
448C22⋊Q8×C59C2311yescharacteristic
449C22⋊Q8×C59C2311yescharacteristic
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×C59D411yescharacteristic
458#121×C59D411yescharacteristic
459#121×C59C2311yescharacteristic
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#120×C59—21no—
463#120×C59D411yescharacteristic
464#120×C59D411yescharacteristic
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×C59—21no—
475C4×D4×C59—21no—
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C4×D4×C59C2311yescharacteristic
479C4×D4×C59C2311yescharacteristic
480C4×D4×C59C2311yescharacteristic
481#117×C59—21no—
482#117×C59C2311yescharacteristic
483#117×C59C2311yescharacteristic
484#117×C59C2311yescharacteristic
485C2×C4⋊C4×C59—21no—
486C2×C4⋊C4×C59—21no—
487C2×C4⋊C4×C59C2311yescharacteristic
488C2×C4⋊C4×C59C2311yescharacteristic
489C2×C22⋊C4×C59—21no—
490C24×C59C2×D411yescharacteristic
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
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×C59C2411yescharacteristic
510C2×Q8×C59C2411yescharacteristic
511C2×Q8×C59C2411yescharacteristic
512C2×D4×C59—21no—
513C2×D4×C59—21no—
514C2×D4×C59—21no—
515C2×D4×C59—21no—
516C2×D4×C59—21no—
517C2×D4×C59C2×D411yescharacteristic
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×C59C2411yescharacteristic
525C22×C4×C59—21no—
526C22×C4×C59—21no—
527C22×C4×C59—21no—
528C22×C4×C59—21no—
529C22×C4×C59—21no—
530C22×C4×C59—21no—
531C22×C4×C59—21no—
532C22×C4×C59—41no—
533C22×C4×C59—41no—
534C22×C4×C59C2×D411yescharacteristic
535C22×C4×C59C2×D411yescharacteristic
536C22×C4×C59C2×D411yescharacteristic
537C22×C4×C59C2411yescharacteristic
538C22×C4×C59C2411yescharacteristic
539C22×C4×C59C2411yescharacteristic
540C22×C4×C59C2411yescharacteristic
541C22×C4×C59C2411yescharacteristic
542C2×C22⋊D59—21no—
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—
552C2×C22⋊D59—21no—
553C2×C22⋊D59—21no—
554C2×C22⋊D59—44no—
555C2×C22⋊D59—82no—
556C22×Dic59—21no—
557C22×Dic59—21no—
558#11745689—44no—
559D4×D59—44no—
560D4×D59—44no—
561D4×D59—44no—
562D4×D59—82no—
563D4×D59—82no—
564#11745685—22no—
565#11745685—22no—
566#11745685—22no—
567#11745685—22no—
568#11745685—22no—
569#11745685—22no—
570#11745685—41no—
571#11745685—41no—
572#11745685—41no—
573#11745685—41no—
574#11745685—41no—
575#11745685—41no—
576#11745685—44no—
577#11745685—44no—
578C2×D236—22no—
579C2×D236—22no—
580C2×D236—22no—
581C2×D236—21no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236—21no—
586C2×D236—21no—
587C2×D236—21no—
588C2×D236—21no—
589C2×D236—41no—
590C2×D236—41no—
591C2×D236—41no—
592C2×D236—41no—
593C2×D236—41no—
594C2×D236C2411yescharacteristic
595C2×D236C2411yescharacteristic
596C2×D236C2411yescharacteristic
597C2×D236C2411yescharacteristic
598C2×C4×D59—21no—
599C2×C4×D59—21no—
600C2×C4×D59—21no—
601C2×C4×D59—21no—
602C2×C4×D59—21no—
603C2×C4×D59—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—44no—
607C2×Dic118—22no—
608C2×Dic118—21no—
609C2×Dic118—41no—
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×C59—21no—
627C4⋊C4×C59—21no—
628C4⋊C4×C59—21no—
629C4⋊C4×C59—21no—
630C4⋊C4×C59—21no—
631C4⋊C4×C59C2×D411yescharacteristic
632C4⋊C4×C59C2×D411yescharacteristic
633C4⋊C4×C59C2×D411yescharacteristic
634C4⋊C4×C59C2×D411yescharacteristic
635C4⋊C4×C59C2×D411yescharacteristic
636C4⋊C4×C59C2×D411yescharacteristic
637C4⋊C4×C59C2411yescharacteristic
638C4⋊C4×C59C2411yescharacteristic
639C4⋊C4×C59C2411yescharacteristic
640C4⋊C4×C59C2411yescharacteristic
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×C59—21no—
655C22⋊C4×C59—21no—
656C22⋊C4×C59—21no—
657C22⋊C4×C59—21no—
658C22⋊C4×C59C2×D411yescharacteristic
659C22⋊C4×C59C2×D411yescharacteristic
660C22⋊C4×C59C2×D411yescharacteristic
661C22⋊C4×C59C2×D411yescharacteristic
662C22⋊C4×C59C2×D411yescharacteristic
663C22⋊C4×C59C2×D411yescharacteristic
664C22⋊C4×C59C2×D411yescharacteristic
665C22⋊C4×C59C2×D411yescharacteristic
666C22⋊C4×C59C2×D411yescharacteristic
667C22⋊C4×C59C2×D411yescharacteristic
668C42×C59—21no—
669C42×C59—21no—
670C42×C59—21no—
671C42×C59—21no—
672C42×C59—21no—
673C42×C59C2411yescharacteristic
674C42×C59C2411yescharacteristic
675C22⋊Dic59—21no—
676C22⋊Dic59—21no—
677#11745672—22no—
678#11745672—22no—
679#11745672—22no—
680#11745672—41no—
681#11745672—41no—
682#11745672—41no—
683#11745671—22no—
684#11745671—22no—
685#11745671—22no—
686#11745671—41no—
687#11745671—41no—
688#11745671—41no—
689#11745671—41no—
690#11745671—41no—
691#11745671—41no—
692#11745671—41no—
693#11745671—41no—
694#11745671—41no—
695#11745670—22no—
696#11745670—41no—
697#11745669—22no—
698#11745669—41no—
699#11745669—41no—
700#11745669—41no—
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—
709(C2×D59)⋊C4—21no—
710(C2×D59)⋊C4—21no—
711(C2×D59)⋊C4—21no—
712(C2×D59)⋊C4—21no—
713C4⋊Dic59—21no—
714C4⋊Dic59C2411yescharacteristic
715C4⋊Dic59C2411yescharacteristic
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—21no—
719Dic59⋊C4—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722#11745664—41no—
723#11745664—41no—
724#11745664—41no—
725#11745664—41no—
726#11745664—41no—
727#11745664—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—21no—
739C23×C59—41no—
740C23×C59—41no—
741C23×C59—41no—
742C23×C59C22×D411yescharacteristic
743C23×C59C22×D411yescharacteristic
744C23×C59C22×D411yescharacteristic
745C23×C59C22×D411yescharacteristic
746C23×C59C22×D411yescharacteristic
747C22×D59—21no—
748C22×D59—21no—
749C22×D59—21no—
750C22×D59—21no—
751C22×D59—42no—
752C22×D59—42no—
753C22×D59—42no—
754C22×D59—42no—
755C22×D59—42no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—41no—
770Q8×C59—81no—
771Q8×C59—81no—
772Q8×C59—81no—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—41no—
776D4×C59—41no—
777D4×C59—41no—
778D4×C59—41no—
779D4×C59—41no—
780D4×C59—41no—
781D4×C59—41no—
782D4×C59—42no—
783D4×C59—81no—
784D4×C59—81no—
785D4×C59—81no—
786D4×C59—81no—
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—21no—
802C2×C4×C59—21no—
803C2×C4×C59—21no—
804C2×C4×C59—41no—
805C2×C4×C59—41no—
806C2×C4×C59—41no—
807C2×C4×C59—81no—
808C2×C4×C59—81no—
809C2×C4×C59—81no—
810C2×C4×C59—81no—
811C2×C4×C59—81no—
812C2×C4×C59—81no—
813C2×C4×C59—81no—
814C2×C4×C59C22×D411yescharacteristic
815C2×C4×C59C22×D411yescharacteristic
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×C59C2511yescharacteristic
824C22⋊D59—24no—
825C22⋊D59—42no—
826C22⋊D59—42no—
827C22⋊D59—42no—
828C22⋊D59—42no—
829C22⋊D59—42no—
830C22⋊D59—42no—
831C22⋊D59—42no—
832C22⋊D59—81no—
833C22⋊D59—81no—
834C22⋊D59—81no—
835C22⋊D59—81no—
836C2×Dic59—21no—
837C2×Dic59—21no—
838C2×Dic59—21no—
839C2×Dic59—21no—
840C2×Dic59—42no—
841C2×Dic59—81no—
842D236—21no—
843D236—21no—
844D236—21no—
845D236—21no—
846D236—21no—
847D236—21no—
848D236—21no—
849D236—42no—
850D236—42no—
851D236—42no—
852D236—42no—
853D236—81no—
854D236—81no—
855D236—81no—
856D236—81no—
857D236H(5,𝔽2)12yes—
858C4×D59—24no—
859C4×D59—42no—
860C4×D59—42no—
861C4×D59—42no—
862C4×D59—42no—
863C4×D59—42no—
864C4×D59—81no—
865C4×D59—81no—
866Dic118—21no—
867Dic118—21no—
868Dic118—21no—
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#61654—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—21no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59—82no—
899C22×C59C23×D411yescharacteristic
900C2×D59—22no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—41no—
906C2×D59—41no—
907C2×D59—41no—
908C2×D59—41no—
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—41no—
912C2×D59—84no—
913C2×D59—162no—
914C2×D59—162no—
915C2×D59—162no—
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×C59—41no—
932C4×C59C2×H(5,𝔽2)11yescharacteristic
933C4×C59C2×H(5,𝔽2)11yescharacteristic
934Dic59—22no—
935Dic59—41no—
936Dic59—41no—
937Dic59—41no—
938#3541D5911yescharacteristic, complemented
939#3488—591no—
940#3333—591no—
941#3327—591no—
942#3324—591no—
943#3322—591no—
944#3314—591no—
945#3313—591no—
946#3310—591no—
947#3309—591no—
948#3278—591no—
949#3277—591no—
950#3275—591no—
951#3272—591no—
952#3271—591no—
953#3269—591no—
954#3266—591no—
955#3265—591no—
956#3224—591no—
957#3222—591no—
958#3203—591no—
959#3201—591no—
960#3194—591no—
961#3193—591no—
962#3124—591no—
963#3120—591no—
964#3012—591no—
965#3009—591no—
966#3007—591no—
967#3005—591no—
968#2978—591no—
969C2×C59—41no—
970C2×C59—41no—
971C2×C59—41no—
972C2×C59—41no—
973C2×C59—41no—
974C2×C59—81no—
975C2×C59#348411yescharacteristic
976C2×C59#358511yescharacteristic
977C2×C59#358611yescharacteristic
978D59—42no—
979D59—81no—
980D59—81no—
981D59—81no—
982C2×H(5,𝔽2)—591no—
983C22×#41—591no—
984C2×#137—591no—
985C2×#137—591no—
986C2×#137—591no—
987C2×#137—591no—
988C2×AGL(1,ℤ/8)—591no—
989C2×AGL(1,ℤ/8)—591no—
990C2×#135—591no—
991C22×SD16—591no—
992#563—21no—
993#562—21no—
994#556C2×D5911yescharacteristic, complemented
995#554—21no—
996#554C2×D5911yescharacteristic, complemented
997#553—21no—
998#553C2×D5911yescharacteristic, complemented
999#552C2×D5911yescharacteristic, complemented
1000#550—591no—
1001#550—591no—
1002D4×Q8C2×D5911yescharacteristic, complemented
1003#548—591no—
1004#548—591no—
1005#548C2×D5911yescharacteristic, complemented
1006#548C2×D5911yescharacteristic, complemented
1007#547C2×D5911yescharacteristic, complemented
1008#546—591no—
1009#546—591no—
1010#546—1181no—
1011#546—1181no—
1012D42—591no—
1013D42—591no—
1014D42—1181no—
1015D42—1181no—
1016#542—21no—
1017#542C2×D5911yescharacteristic, complemented
1018#541C2×D5911yescharacteristic, complemented
1019#539—21no—
1020#538—21no—
1021#538—21no—
1022#537—591no—
1023#537—1181no—
1024#537C2×D5911yescharacteristic, complemented
1025#536C2×D5911yescharacteristic, complemented
1026#535—591no—
1027#535—1181no—
1028#525—1181no—
1029#525C2×D5911yescharacteristic
1030#525C2×D5911yescharacteristic, complemented
1031C2×C22⋊Q8C2×D5911yescharacteristic, complemented
1032C2×#121—591no—
1033C2×#121—1181no—
1034#520—591no—
1035#497—591no—
1036#496—591no—
1037#495—591no—
1038#492—591no—
1039#490—591no—
1040#489—591no—
1041#488—591no—
1042#486—591no—
1043#485—591no—
1044#484—591no—
1045#484—591no—
1046#484—591no—
1047#483—591no—
1048#482—591no—
1049#482—591no—
1050#482—591no—
1051#480—591no—
1052#480—591no—
1053#480—591no—
1054#480—591no—
1055#479—591no—
1056#478—591no—
1057#477—591no—
1058#474—591no—
1059#470—591no—
1060#469—591no—
1061#469—591no—
1062#468—591no—
1063#468—591no—
1064#468—591no—
1065#468—591no—
1066#468—591no—
1067#468—591no—
1068#468—591no—
1069#468—591no—
1070#468—591no—
1071#467—591no—
1072#467—591no—
1073#466—591no—
1074#465—591no—
1075#464—591no—
1076#464—591no—
1077#464—591no—
1078#464—591no—
1079#463—591no—
1080#463—591no—
1081#462—591no—
1082#461—591no—
1083#460—591no—
1084#460—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#451—591no—
1100#451—591no—
1101#451—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450—591no—
1106#450—591no—
1107#450—591no—
1108#450—591no—
1109#450—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#449—591no—
1118#448—591no—
1119#448—591no—
1120#448—591no—
1121#447—591no—
1122#447—591no—
1123#441—591no—
1124#440—591no—
1125#440—591no—
1126#440—591no—
1127C4×Q16—591no—
1128C4×Q16—591no—
1129C4×SD16—591no—
1130C4×D8—591no—
1131#436—591no—
1132#436—591no—
1133#436—591no—
1134#436—591no—
1135#435—591no—
1136#435—591no—
1137#435—591no—
1138#435—591no—
1139#433—591no—
1140#433—591no—
1141#419—591no—
1142#418—591no—
1143#418—591no—
1144#417—591no—
1145#417—591no—
1146#417—591no—
1147#416—591no—
1148C2×#102—591no—
1149#408—591no—
1150#408—591no—
1151#407—591no—
1152#407—591no—
1153C59#6165411yescharacteristic, complemented, Sylow
1154H(5,𝔽2)—2362no—
1155H(5,𝔽2)—2362no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—591no—
1160C2×#41—591no—
1161C2×#41—591no—
1162C2×#41—1181no—
1163C2×#41—1181no—
1164C2×#41—1181no—
1165C2×#41—2362no—
1166C2×#41—2362no—
1167C2×#41C22×D5911yescharacteristic
1168C2×#41C22×D5911yescharacteristic
1169C2×#41C22×D5911yescharacteristic
1170C22×Q8—591no—
1171C22×Q8C22×D5911yescharacteristic
1172C22×Q8C22×D5911yescharacteristic
1173C22×D4—591no—
1174C22×D4—591no—
1175C22×D4—591no—
1176C22×D4—591no—
1177C22×D4—1181no—
1178C22×D4—1181no—
1179C22×D4—1181no—
1180C22×D4—1181no—
1181C22×D4—1181no—
1182C22×D4—1181no—
1183C22×D4—1181no—
1184C23×C4—1181no—
1185C23×C4C22×D5911yescharacteristic
1186#137—2362no—
1187#137—2362no—
1188#137—2362no—
1189#137—2362no—
1190AGL(1,ℤ/8)—2362no—
1191AGL(1,ℤ/8)—2362no—
1192#135—2362no—
1193C2×Q16—591no—
1194C2×Q16—591no—
1195C2×Q16—591no—
1196C2×Q16—591no—
1197C2×Q16—591no—
1198C2×Q16—591no—
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—591no—
1212C2×SD16—591no—
1213C2×SD16—2362no—
1214C2×D8—591no—
1215C2×D8—591no—
1216C2×D8—591no—
1217C2×D8—591no—
1218C2×M16—591no—
1219C2×M16—591no—
1220C2×M16—591no—
1221C2×M16—591no—
1222C2×M16—591no—
1223C2×M16—591no—
1224C22×C8—591no—
1225C22×C8—591no—
1226C4⋊Q8—21no—
1227C4⋊Q8—21no—
1228C4⋊Q8C22×D5911yescharacteristic
1229C4⋊Q8C22×D5911yescharacteristic
1230#127—591no—
1231#127—591no—
1232#127—1181no—
1233#127—1181no—
1234#126—21no—
1235#126—21no—
1236#126—21no—
1237#126—21no—
1238#126—21no—
1239#126—21no—
1240#126—21no—
1241#125—21no—
1242#125—21no—
1243#125—21no—
1244#125—21no—
1245#125C22×D5911yescharacteristic
1246#124—21no—
1247#124—21no—
1248#124—21no—
1249#124—21no—
1250#124—21no—
1251#124—591no—
1252#124—591no—
1253#124—1181no—
1254#124—1181no—
1255#124C22×D5911yescharacteristic
1256#123—21no—
1257#123—21no—
1258#123—21no—
1259#123—21no—
1260#123—21no—
1261#123—21no—
1262#123—21no—
1263#123—21no—
1264#123—1181no—
1265#123—1181no—
1266#123C22⋊D5911yescharacteristic
1267#123C22⋊D5911yescharacteristic
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8—21no—
1272C22⋊Q8—21no—
1273C22⋊Q8—21no—
1274C22⋊Q8—21no—
1275C22⋊Q8—21no—
1276C22⋊Q8—21no—
1277C22⋊Q8—21no—
1278C22⋊Q8—591no—
1279C22⋊Q8—591no—
1280C22⋊Q8—1181no—
1281C22⋊Q8—1181no—
1282C22⋊Q8—1181no—
1283C22⋊Q8C22⋊D5911yescharacteristic
1284C22⋊Q8C22⋊D5911yescharacteristic
1285C22⋊Q8C22×D5911yescharacteristic
1286C22⋊Q8C22×D5911yescharacteristic
1287C22⋊Q8C22×D5911yescharacteristic
1288C22⋊Q8C22×D5911yescharacteristic
1289C22⋊Q8C22×D5911yescharacteristic
1290C22⋊Q8C22×D5911yescharacteristic
1291C22⋊Q8C22×D5911yescharacteristic
1292C22⋊Q8C22×D5911yescharacteristic
1293C22⋊Q8C22×D5911yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—1181no—
1308#121—1181no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121C22⋊D5911yescharacteristic
1325#121C22⋊D5911yescharacteristic
1326#121C22×D5911yescharacteristic
1327#121C22×D5911yescharacteristic
1328#121C22×D5911yescharacteristic
1329#120—21no—
1330#120—1181no—
1331#120—1181no—
1332#120—1181no—
1333#120—1181no—
1334#120—1181no—
1335#120—1181no—
1336#120—1181no—
1337#120—1181no—
1338#120C22⋊D5911yescharacteristic
1339#120C22⋊D5911yescharacteristic
1340C4×Q8—21no—
1341C4×Q8—591no—
1342C4×Q8—591no—
1343C4×Q8C22×D5911yescharacteristic
1344C4×Q8C22×D5911yescharacteristic
1345C4×Q8C22×D5911yescharacteristic
1346C4×D4—21no—
1347C4×D4—21no—
1348C4×D4—21no—
1349C4×D4—21no—
1350C4×D4—21no—
1351C4×D4—21no—
1352C4×D4—21no—
1353C4×D4—591no—
1354C4×D4—591no—
1355C4×D4—1181no—
1356C4×D4—1181no—
1357C4×D4—1181no—
1358C4×D4—1181no—
1359C4×D4—1181no—
1360C4×D4—1181no—
1361C4×D4C22×D5911yescharacteristic
1362C4×D4C22×D5911yescharacteristic
1363C4×D4C22×D5911yescharacteristic
1364C4×D4C22×D5911yescharacteristic
1365C4×D4C22×D5911yescharacteristic
1366#117—21no—
1367#117—1181no—
1368#117C22×D5911yescharacteristic
1369#117C22×D5911yescharacteristic
1370#117C22×D5911yescharacteristic
1371C2×C4⋊C4—21no—
1372C2×C4⋊C4—21no—
1373C2×C4⋊C4—591no—
1374C2×C4⋊C4—1181no—
1375C2×C4⋊C4C22×D5911yescharacteristic
1376C2×C4⋊C4C22×D5911yescharacteristic
1377C2×C22⋊C4—21no—
1378C2×C22⋊C4—1181no—
1379C2×C22⋊C4—1181no—
1380C2×C22⋊C4—1181no—
1381#107—591no—
1382#107—591no—
1383#107—591no—
1384#107—591no—
1385#107—591no—
1386#107—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#102—591no—
1408#102—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—1181no—
1442C24—1181no—
1443C24—1181no—
1444C24—1181no—
1445C24C2×C22⋊D5911yescharacteristic
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—41no—
1451#41—41no—
1452#41—1182no—
1453#41—1182no—
1454#41—1182no—
1455#41—1182no—
1456#41—1182no—
1457#41—1182no—
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—
1467C2×Q8—21no—
1468C2×Q8—21no—
1469C2×Q8—21no—
1470C2×Q8—41no—
1471C2×Q8—41no—
1472C2×Q8—41no—
1473C2×Q8—41no—
1474C2×Q8—591no—
1475C2×Q8—591no—
1476C2×Q8—1182no—
1477C2×Q8—1181no—
1478C2×Q8—2361no—
1479C2×Q8C2×C22⋊D5911yescharacteristic
1480C2×Q8C23×D5911yescharacteristic
1481C2×Q8C23×D5911yescharacteristic
1482C2×Q8C23×D5911yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—591no—
1489C2×D4—591no—
1490C2×D4—591no—
1491C2×D4—591no—
1492C2×D4—1182no—
1493C2×D4—1182no—
1494C2×D4—1182no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
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—4722no—
1516C2×D4—4722no—
1517C2×D4—4722no—
1518C2×D4—2361no—
1519C2×D4—2361no—
1520C2×D4—2361no—
1521C2×D4—2361no—
1522C2×D4—2361no—
1523C2×D4—2364no—
1524C2×D4—2364no—
1525C2×D4—2364no—
1526C2×D4—2364no—
1527C2×D4C2×C22⋊D5911yescharacteristic
1528C2×D4C2×C22⋊D5911yescharacteristic
1529C2×D4C2×C22⋊D5911yescharacteristic
1530C2×D4C2×C22⋊D5911yescharacteristic
1531C2×D4C2×C22⋊D5911yescharacteristic
1532C2×D4C2×C22⋊D5911yescharacteristic
1533C2×D4C2×C22⋊D5911yescharacteristic
1534C2×D4C23×D5911yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—21no—
1542C22×C4—41no—
1543C22×C4—41no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4—1181no—
1551C22×C4—1181no—
1552C22×C4—1181no—
1553C22×C4—1181no—
1554C22×C4—2364no—
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—1182no—
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—
1581SD16—2361no—
1582SD16—2361no—
1583D8—1182no—
1584D8—2361no—
1585D8—2361no—
1586D8—2361no—
1587M16—2361no—
1588M16—2361no—
1589M16—2361no—
1590M16—2361no—
1591M16—2361no—
1592M16—2361no—
1593C2×C8—591no—
1594C2×C8—591no—
1595C2×C8—591no—
1596C2×C8—591no—
1597C2×C8—591no—
1598C2×C8—591no—
1599C2×C8—591no—
1600C2×C8—591no—
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—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—591no—
1623C4⋊C4—591no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4C2×C22⋊D5911yescharacteristic
1630C4⋊C4C2×C22⋊D5911yescharacteristic
1631C4⋊C4C2×C22⋊D5911yescharacteristic
1632C4⋊C4C2×C22⋊D5911yescharacteristic
1633C4⋊C4C2×C22⋊D5911yescharacteristic
1634C4⋊C4C2×C22⋊D5911yescharacteristic
1635C4⋊C4C23×D5911yescharacteristic
1636C4⋊C4C23×D5911yescharacteristic
1637C4⋊C4C23×D5911yescharacteristic
1638C4⋊C4C23×D5911yescharacteristic
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—21no—
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
1678C22⋊C4C2×C22⋊D5911yescharacteristic
1679C22⋊C4C2×C22⋊D5911yescharacteristic
1680C42—21no—
1681C42—21no—
1682C42—21no—
1683C42—21no—
1684C42—21no—
1685C42—1181no—
1686C42—1181no—
1687C42C23×D5911yescharacteristic
1688C42C23×D5911yescharacteristic
1689C23—21no—
1690C23—41no—
1691C23—41no—
1692C23—41no—
1693C23—1181no—
1694C23—1181no—
1695C23—1181no—
1696C23—1181no—
1697C23—4721no—
1698C23—4721no—
1699C23—4721no—
1700C23—4721no—
1701C23—4721no—
1702C23—4721no—
1703C23—4721no—
1704C23—2362no—
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—21no—
1719Q8—21no—
1720Q8—41no—
1721Q8—81no—
1722Q8—81no—
1723Q8—81no—
1724Q8—592no—
1725Q8—1181no—
1726Q8—1181no—
1727Q8—1181no—
1728Q8—2362no—
1729D4—21no—
1730D4—21no—
1731D4—41no—
1732D4—41no—
1733D4—41no—
1734D4—41no—
1735D4—41no—
1736D4—41no—
1737D4—41no—
1738D4—42no—
1739D4—81no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743D4—592no—
1744D4—1184no—
1745D4—1181no—
1746D4—1181no—
1747D4—1181no—
1748D4—1181no—
1749D4—1181no—
1750D4—1181no—
1751D4—1181no—
1752D4—4721no—
1753D4—4721no—
1754D4—4721no—
1755D4—4721no—
1756D4—4721no—
1757D4—4721no—
1758D4—4721no—
1759D4—4721no—
1760D4—2362no—
1761D4—2362no—
1762D4—2362no—
1763D4—2362no—
1764D4—2362no—
1765D4—2362no—
1766D4—2362no—
1767D4—2362no—
1768D4—2362no—
1769D4—2362no—
1770D4—2362no—
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—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—41no—
1789C2×C4—41no—
1790C2×C4—41no—
1791C2×C4—81no—
1792C2×C4—81no—
1793C2×C4—81no—
1794C2×C4—81no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4—81no—
1798C2×C4—1184no—
1799C2×C4—1181no—
1800C2×C4—1181no—
1801C2×C4—1181no—
1802C2×C4—1181no—
1803C2×C4—4721no—
1804C2×C4—4721no—
1805C2×C4—4721no—
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—21no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—82no—
1849C22—1182no—
1850C22—9442no—
1851C22—9442no—
1852C22—9442no—
1853C22—4724no—
1854C22—2361no—
1855C22—2361no—
1856C22—2361no—
1857C22—2361no—
1858C22—2361no—
1859C22—2361no—
1860C22—2361no—
1861C22—2361no—
1862C22—2361no—
1863C22—2361no—
1864C22—2361no—
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—41no—
1882C4—1182no—
1883C4—2361no—
1884C4—2361no—
1885C4—2361no—
1886C4H(5,𝔽2)×D5911yescharacteristic
1887C4H(5,𝔽2)×D5911yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—41no—
1892C2—41no—
1893C2—81no—
1894C2—4721no—
1895C2—4721no—
1896C2—4721no—
1897C2—2362no—
1898C2#2143772711yescharacteristic
1899C2#2143887511yescharacteristic
1900C2#2143888311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3541C2
socleC22×C59C23×D4
hypercenter#3541D59
hypocenterC59#61654
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #525 ◁ #3541

Complements

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

NH ≅ G/Ntype
1. #21437757C2semidirect
2. #21436428C2semidirect
3. #21436358C2semidirect
4. #21436321C2semidirect
5. #21436291C2semidirect
6. #21436171C2semidirect
7. #21436156C2semidirect
8. #21436111C2semidirect
9. #21436096C2semidirect
10. #21435758C2semidirect
11. #21435749C2semidirect
12. #21435728C2semidirect
13. #21435696C2semidirect
14. #21435682C2semidirect
15. #21435647C2semidirect
16. #21435607C2semidirect
17. #21435592C2semidirect
18. #21435184C2semidirect
19. #21435162C2semidirect
20. #21434993C2semidirect
21. #21434978C2semidirect
22. #21434906C2semidirect
23. #21434898C2semidirect
24. #21434352C2semidirect
25. #21434304C2semidirect
26. #21433397C2semidirect
27. #21433371C2semidirect
28. #21433354C2semidirect
29. #21433336C2semidirect
30. #21433158C2semidirect
31. C59×#3541C2semidirect
34. C2×#14273758C22semidirect
35. C2×#14273758C22semidirect
36. C2×#14273758C22semidirect
37. C2×#14273757C22semidirect
38. C2×#14273752C22semidirect
39. C2×#14273752C22semidirect
40. C2×#14273747C22semidirect
41. C22×#11745671C22semidirect
62. #16837794C22semidirect
63. #16837792C22semidirect
64. #16837784C22semidirect
65. #16837776C22semidirect
66. #16837768C22semidirect
67. #16837764C22semidirect
68. #16837759C22semidirect
69. #16837750C22semidirect
70. #16837743C22semidirect
71. #16837737C22semidirect
72. #16837735C22semidirect
73. #16837735C22semidirect
74. #16837730C22semidirect
75. #16837726C22semidirect
76. #16837726C22semidirect
77. #16837726C22semidirect
78. #16837715C22semidirect
79. #16837715C22semidirect
80. #16837715C22semidirect
81. #16837713C22semidirect
82. #16837706C22semidirect
83. #16837699C22semidirect
84. #16837694C22semidirect
85. #16837679C22semidirect
86. #16837658C22semidirect
87. #16837653C22semidirect
88. #16837653C22semidirect
89. #16837650C22semidirect
90. #16837650C22semidirect
91. #16837650C22semidirect
92. #16837650C22semidirect
93. #16837650C22semidirect
94. #16837650C22semidirect
95. #16837650C22semidirect
96. #16837650C22semidirect
97. #16837646C22semidirect
98. #16837641C22semidirect
99. #16837641C22semidirect
100. #16837636C22semidirect
101. #16837633C22semidirect
102. #16837624C22semidirect
103. #16837624C22semidirect
104. #16837624C22semidirect
105. #16837621C22semidirect
106. #16837617C22semidirect
107. #16837614C22semidirect
108. #16837609C22semidirect
109. #16837604C22semidirect
110. #16837602C22semidirect
111. #16837602C22semidirect
112. #16837602C22semidirect
113. #16837597C22semidirect
114. #16837564C22semidirect
118. #16837562C22semidirect
119. #16837562C22semidirect
120. #16837562C22semidirect
121. #16837562C22semidirect
122. #16837562C22semidirect
123. #16837562C22semidirect
124. #16837562C22semidirect
125. #16837562C22semidirect
126. #16837558C22semidirect
127. #16837557C22semidirect
128. #16837557C22semidirect
129. #16837552C22semidirect
130. #16837552C22semidirect
131. #16837552C22semidirect
132. #16837552C22semidirect
133. #16837552C22semidirect
134. #16837552C22semidirect
135. #16837552C22semidirect
136. #16837552C22semidirect
137. #16837547C22semidirect
138. #16837547C22semidirect
139. #16837547C22semidirect
141. #16837545C22semidirect
142. #16837545C22semidirect
143. #16837545C22semidirect
144. #16837545C22semidirect
145. #16837541C22semidirect
146. #16837541C22semidirect
147. #16837541C22semidirect
148. #16837535C22semidirect
149. #16837535C22semidirect
150. #16837507C22semidirect
151. #16837502C22semidirect
152. #16837500C22semidirect
153. #16837500C22semidirect
154. C4×#11745672C22semidirect
155. C4×#11745672C22semidirect
156. C4×#11745671C22semidirect
157. C4×#11745669C22semidirect
158. #16837480C22semidirect
159. #16837480C22semidirect
160. #16837480C22semidirect
161. #16837480C22semidirect
162. #16837474C22semidirect
163. #16837474C22semidirect
164. #16837474C22semidirect
165. #16837474C22semidirect
166. #16837463C22semidirect
167. #16837463C22semidirect
168. #16837410C22semidirect
169. #16837406C22semidirect
170. #16837406C22semidirect
171. #16837401C22semidirect
172. #16837401C22semidirect
173. #16837401C22semidirect
174. #16837396C22semidirect
175. C2×#14273647C22semidirect
176. #16837369C22semidirect
177. #16837369C22semidirect
178. #16837366C22semidirect
179. #16837366C22semidirect
182. C59×#556C22semidirect
184. C59×#554C22semidirect
186. C59×#553C22semidirect
187. C59×#552C22semidirect
188. D4×Q8×C59C22semidirect
189. C59×#548C22semidirect
190. C59×#548C22semidirect
191. C59×#547C22semidirect
193. C59×#542C22semidirect
194. C59×#541C22semidirect
198. C59×#537C22semidirect
199. C59×#536C22semidirect
201. C59×#525C22semidirect
202. C2×C22⋊Q8×C59C22semidirect
938. #3541D59semidirect
994. #556C2×D59semidirect
996. #554C2×D59semidirect
998. #553C2×D59semidirect
999. #552C2×D59semidirect
1002. D4×Q8C2×D59semidirect
1005. #548C2×D59semidirect
1006. #548C2×D59semidirect
1007. #547C2×D59semidirect
1017. #542C2×D59semidirect
1018. #541C2×D59semidirect
1024. #537C2×D59semidirect
1025. #536C2×D59semidirect
1030. #525C2×D59semidirect
1031. C2×C22⋊Q8C2×D59semidirect
1153. C59#61654semidirect

Maximal subgroups

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

subgroupindex
#214377572
#214364282
#214363582
#214363212
#214362912
#214361712
#214361562
#214361112
#214360962
#214357582
#214357492
#214357282
#214356962
#214356822
#214356472
#214356072
#214355922
#214351842
#214351622
#214349932
#214349782
#214349062
#214348982
#214343522
#214343042
#214333972
#214333712
#214333542
#214333362
#214331582
C59×#35412
#6165459