Finite Group Databasebeta

← #29475925

Subgroups — #29475925

Order 15104.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437883C211yesmaximal, characteristic, complemented
2#21436343C211yesmaximal, characteristic, complemented
3#21436291C211yesmaximal, characteristic, complemented
4#21436156C211yesmaximal, characteristic, complemented
5#21436126C211yesmaximal, characteristic, complemented
6#21436081C211yesmaximal, characteristic, complemented
7#21436051C211yesmaximal, characteristic, complemented
8#21435992C211yesmaximal, characteristic, complemented
9#21435940C211yesmaximal, characteristic, complemented
10#21435799C211yesmaximal, characteristic, complemented
11#21435777C211yesmaximal, characteristic, complemented
12#21435723C211yesmaximal, characteristic, complemented
13#21435703C211yesmaximal, characteristic, complemented
14#21435677C211yesmaximal, characteristic, complemented
15#21435637C211yesmaximal, characteristic, complemented
16#21435587C211yesmaximal, characteristic, complemented
17#21435572C211yesmaximal, characteristic, complemented
18#21435079C211yesmaximal, characteristic, complemented
19#21435057C211yesmaximal, characteristic, complemented
20#21434972C211yesmaximal, characteristic, complemented
21#21434968C211yesmaximal, characteristic, complemented
22#21434957C211yesmaximal, characteristic, complemented
23#21434942C211yesmaximal, characteristic, complemented
24#21434199C211yesmaximal, characteristic, complemented
25#21434150C211yesmaximal, characteristic, complemented
26#21433408C211yesmaximal, characteristic, complemented
27#21433397C211yesmaximal, characteristic, complemented
28#21433380C211yesmaximal, characteristic, complemented
29#21433362C211yesmaximal, characteristic, complemented
30#21433172C211yesmaximal, characteristic, complemented
31C59×#3546C211yesmaximal, characteristic, complemented
32C2×#14273774C2211yescharacteristic, complemented
33C2×#14273773C2211yescharacteristic, complemented
34C2×#14273757C2211yescharacteristic, complemented
35C2×#14273753C2211yescharacteristic
36C2×#14273753C2211yescharacteristic, complemented
37C2×#14273752C2211yescharacteristic, complemented
38C2×#14273747C2211yescharacteristic, complemented
39C2×#14273747C2211yescharacteristic, complemented
40C22×#11745670C2211yescharacteristic, complemented
41C22×#11745669C2211yescharacteristic
42#16838061C2211yescharacteristic
43#16838061C2211yescharacteristic, complemented
44#16838061C2211yescharacteristic, complemented
45#16838061C2211yescharacteristic, complemented
46#16838048C2211yescharacteristic
47#16838048C2211yescharacteristic, complemented
48#16838048C2211yescharacteristic, complemented
49#16838048C2211yescharacteristic, complemented
50#16838041—21no—
51#16838041—21no—
52#16838041—21no—
53#16838041—21no—
54#16837977—21no—
55#16837973C2211yescharacteristic, complemented
56#16837966C2211yescharacteristic, complemented
57#16837965—21no—
58#16837951—21no—
59C2×#14273715C2211yescharacteristic, complemented
60#124×D59—21no—
61C4×#11745685C2211yescharacteristic, complemented
62#16837789C2211yescharacteristic, complemented
63#16837789C2211yescharacteristic, 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#16837737C2211yescharacteristic, complemented
74#16837732C2211yescharacteristic, complemented
75#16837726C2211yescharacteristic, complemented
76#16837726C2211yescharacteristic, complemented
77#16837723C2211yescharacteristic, complemented
78#16837723C2211yescharacteristic, complemented
79#16837723C2211yescharacteristic, complemented
80#16837720C2211yescharacteristic, complemented
81#16837715C2211yescharacteristic, complemented
82#16837706C2211yescharacteristic, complemented
83#16837699C2211yescharacteristic, complemented
84#16837694C2211yescharacteristic, complemented
85#16837689C2211yescharacteristic, complemented
86#16837658C2211yescharacteristic, complemented
87#16837653C2211yescharacteristic, complemented
88#16837653C2211yescharacteristic, complemented
89#16837653C2211yescharacteristic, complemented
90#16837650C2211yescharacteristic, complemented
91#16837646C2211yescharacteristic, complemented
92#16837646C2211yescharacteristic, complemented
93#16837646C2211yescharacteristic, complemented
94#16837641C2211yescharacteristic, complemented
95#16837636C2211yescharacteristic, complemented
96#16837636C2211yescharacteristic, complemented
97#16837636C2211yescharacteristic, complemented
98#16837633C2211yescharacteristic, complemented
99#16837629C2211yescharacteristic, complemented
100#16837629C2211yescharacteristic, complemented
101#16837629C2211yescharacteristic, complemented
102#16837624C2211yescharacteristic, complemented
103#16837624C2211yescharacteristic, complemented
104#16837621C2211yescharacteristic, complemented
105#16837617C2211yescharacteristic, complemented
106#16837617C2211yescharacteristic, complemented
107#16837617C2211yescharacteristic, complemented
108#16837617C2211yescharacteristic, complemented
109#16837617C2211yescharacteristic, complemented
110#16837617C2211yescharacteristic, complemented
111#16837614C2211yescharacteristic, complemented
112#16837599C2211yescharacteristic, complemented
113#16837594C2211yescharacteristic, complemented
114#16837564C2211yescharacteristic, complemented
115#16837564C2211yescharacteristic, complemented
116#16837562C2211yescharacteristic, complemented
117#16837562C2211yescharacteristic, complemented
118#16837562C2211yescharacteristic, complemented
119#16837557C2211yescharacteristic, complemented
120#16837557C2211yescharacteristic, complemented
121#16837553C2211yescharacteristic, complemented
122#16837553C2211yescharacteristic, complemented
123#16837552C2211yescharacteristic, complemented
124#16837552C2211yescharacteristic, complemented
125#16837547C2211yescharacteristic, complemented
126#16837547C2211yescharacteristic, complemented
127#16837545C2211yescharacteristic
128#16837545C2211yescharacteristic
129#16837545C2211yescharacteristic
130#16837545C2211yescharacteristic, complemented
131#16837545C2211yescharacteristic, complemented
132#16837545C2211yescharacteristic, complemented
133#16837545C2211yescharacteristic, complemented
134#16837545C2211yescharacteristic, complemented
135#16837545C2211yescharacteristic, complemented
136#16837540C2211yescharacteristic, complemented
137#16837540C2211yescharacteristic, complemented
138#16837540C2211yescharacteristic, complemented
139#16837540C2211yescharacteristic, complemented
140#16837540C2211yescharacteristic, complemented
141#16837540C2211yescharacteristic, complemented
142#16837536C2211yescharacteristic, complemented
143#16837536C2211yescharacteristic, complemented
144#16837535C2211yescharacteristic
145#16837535C2211yescharacteristic
146#16837535C2211yescharacteristic
147#16837535C2211yescharacteristic, complemented
148#16837535C2211yescharacteristic, complemented
149#16837535C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic, complemented
151#16837507C2211yescharacteristic, complemented
152#16837502C2211yescharacteristic, complemented
153#16837500C2211yescharacteristic, complemented
154C4×#11745670C2211yescharacteristic, complemented
155C4×#11745670C2211yescharacteristic, complemented
156C4×#11745669C2211yescharacteristic, complemented
157C4×#11745669C2211yescharacteristic, complemented
158#16837480C2211yescharacteristic, complemented
159#16837480C2211yescharacteristic, complemented
160#16837474C2211yescharacteristic, complemented
161#16837474C2211yescharacteristic, complemented
162#16837474C2211yescharacteristic, complemented
163#16837474C2211yescharacteristic, complemented
164D4×C59⋊C8C2211yescharacteristic, complemented
165D4×C59⋊C8C2211yescharacteristic, complemented
166#16837459C2211yescharacteristic, complemented
167#16837455C2211yescharacteristic, complemented
168#16837410C2211yescharacteristic, complemented
169#16837406C2211yescharacteristic, complemented
170#16837401C2211yescharacteristic, complemented
171#16837401C2211yescharacteristic, complemented
172#16837396C2211yescharacteristic, complemented
173#16837396C2211yescharacteristic, complemented
174C2×#14273650C2211yescharacteristic, complemented
175C2×#14273647C2211yescharacteristic, complemented
176#16837369C2211yescharacteristic, complemented
177#16837369C2211yescharacteristic, complemented
178#16837369C2211yescharacteristic, complemented
179#16837369C2211yescharacteristic, complemented
180C59×#560—21no—
181C59×#560—21no—
182C59×#556C2211yescharacteristic, complemented
183C59×#553C2211yescharacteristic, complemented
184C59×#553C2211yescharacteristic, complemented
185C59×#550—21no—
186C59×#550C2211yescharacteristic, complemented
187C59×#547C2211yescharacteristic, complemented
188C59×#546—21no—
189C59×#546C2211yescharacteristic, complemented
190C59×#546C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic, complemented
192C59×#542—21no—
193C59×#538—21no—
194C59×#538—21no—
195C59×#537C2211yescharacteristic
196C59×#537C2211yescharacteristic, complemented
197C59×#535—21no—
198C59×#535C2211yescharacteristic
199C59×#535C2211yescharacteristic, complemented
200C59×#532C2211yescharacteristic
201C59×#532C2211yescharacteristic, complemented
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#14273757—42no—
227#14273753—42no—
228#14273753—42no—
229#14273752—42no—
230#14273747—42no—
231#14273747—42no—
232C2×#11745672C2311yescharacteristic
233C2×#11745672C2311yescharacteristic
234C2×#11745672C2311yescharacteristic
235C2×#11745670—42no—
236C2×#11745670C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745670C2311yescharacteristic
239C2×#11745670C2311yescharacteristic
240C2×#11745670C2311yescharacteristic
241C2×#11745670C2311yescharacteristic
242C2×#11745670C2311yescharacteristic
243C2×#11745670C2311yescharacteristic
244C2×#11745670C2311yescharacteristic
245C2×#11745671C2311yescharacteristic
246C2×#11745671C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745669—42no—
249C2×#11745669C2311yescharacteristic
250C2×#11745669C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254C2×#11745669C2311yescharacteristic
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#14273650C2311yescharacteristic
346#14273650C2311yescharacteristic
347#14273650C2311yescharacteristic
348#14273650C2311yescharacteristic
349#14273650C2311yescharacteristic
350#14273650C2311yescharacteristic
351#14273650C2311yescharacteristic
352#14273650C2311yescharacteristic
353#14273650C2311yescharacteristic
354#14273650C2311yescharacteristic
355#14273650C2311yescharacteristic
356#14273650C2311yescharacteristic
357#14273648C2311yescharacteristic
358#14273648C2311yescharacteristic
359#14273648C2311yescharacteristic
360#14273648C2311yescharacteristic
361#14273648C2311yescharacteristic
362#14273648C2311yescharacteristic
363#14273647C2311yescharacteristic
364#14273647C2311yescharacteristic
365#14273647C2311yescharacteristic
366#14273647C2311yescharacteristic
367#14273647C2311yescharacteristic
368#14273647C2311yescharacteristic
369#14273647C2311yescharacteristic
370#14273647C2311yescharacteristic
371#14273647C2311yescharacteristic
372#14273647C2311yescharacteristic
373#14273647C2311yescharacteristic
374#14273647C2311yescharacteristic
375C22⋊(C59⋊C8)C2311yescharacteristic
376C22⋊(C59⋊C8)C2311yescharacteristic
377C22⋊(C59⋊C8)C2311yescharacteristic
378C22⋊(C59⋊C8)C2311yescharacteristic
379C22⋊(C59⋊C8)C2311yescharacteristic
380C22⋊(C59⋊C8)C2311yescharacteristic
381C22⋊(C59⋊C8)C2311yescharacteristic
382C22⋊(C59⋊C8)C2311yescharacteristic
383C22⋊(C59⋊C8)C2311yescharacteristic
384C22⋊(C59⋊C8)C2311yescharacteristic
385C22⋊(C59⋊C8)C2311yescharacteristic
386C22⋊(C59⋊C8)C2311yescharacteristic
387#14273638C2311yescharacteristic
388#14273638C2311yescharacteristic
389C4×C59⋊C8C2311yescharacteristic
390C4×C59⋊C8C2311yescharacteristic
391C2×#41×C59—21no—
392C2×#41×C59—21no—
393C2×#41×C59C2311yescharacteristic
394C2×#41×C59C2311yescharacteristic
395C2×#41×C59C2311yescharacteristic
396C2×#41×C59C2311yescharacteristic
397C22×D4×C59—21no—
398C22×D4×C59C2311yescharacteristic
399C22×D4×C59C2311yescharacteristic
400C4⋊Q8×C59D411yescharacteristic
401C4⋊Q8×C59C2311yescharacteristic
402#127×C59—21no—
403#127×C59—21no—
404#127×C59—21no—
405#127×C59D411yescharacteristic
406#127×C59C2311yescharacteristic
407#126×C59—21no—
408#126×C59—21no—
409#126×C59—21no—
410#126×C59—21no—
411#126×C59—21no—
412#125×C59C2311yescharacteristic
413#124×C59—21no—
414#124×C59—21no—
415#124×C59—21no—
416#124×C59—21no—
417#124×C59D411yescharacteristic
418#124×C59D411yescharacteristic
419#124×C59C2311yescharacteristic
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—
427C22⋊Q8×C59—21no—
428C22⋊Q8×C59—21no—
429C22⋊Q8×C59—21no—
430C22⋊Q8×C59C2311yescharacteristic
431C22⋊Q8×C59C2311yescharacteristic
432C22⋊Q8×C59C2311yescharacteristic
433#121×C59—21no—
434#121×C59—21no—
435#121×C59—21no—
436#121×C59—21no—
437#121×C59—21no—
438#121×C59—21no—
439#121×C59—21no—
440#121×C59—21no—
441#121×C59—21no—
442#121×C59—21no—
443#121×C59—21no—
444#121×C59—21no—
445#121×C59—21no—
446#121×C59—21no—
447#121×C59D411yescharacteristic
448#121×C59D411yescharacteristic
449#121×C59D411yescharacteristic
450#121×C59D411yescharacteristic
451#121×C59C2311yescharacteristic
452#121×C59C2311yescharacteristic
453#121×C59C2311yescharacteristic
454#121×C59C2311yescharacteristic
455#121×C59C2311yescharacteristic
456#121×C59C2311yescharacteristic
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459#121×C59C2311yescharacteristic
460#120×C59—21no—
461#120×C59—21no—
462#120×C59—21no—
463#120×C59—21no—
464#120×C59—21no—
465#120×C59—21no—
466#120×C59—21no—
467#120×C59—21no—
468C4×Q8×C59—21no—
469C4×Q8×C59C2311yescharacteristic
470C4×D4×C59—21no—
471C4×D4×C59—21no—
472C4×D4×C59—21no—
473C4×D4×C59—21no—
474C4×D4×C59—21no—
475C4×D4×C59C2311yescharacteristic
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C4×D4×C59C2311yescharacteristic
479C4×D4×C59C2311yescharacteristic
480C4×D4×C59C2311yescharacteristic
481C4×D4×C59C2311yescharacteristic
482#117×C59—21no—
483#117×C59C2311yescharacteristic
484#117×C59C2311yescharacteristic
485C2×C4⋊C4×C59C2311yescharacteristic
486C2×C4⋊C4×C59C2311yescharacteristic
487C2×C22⋊C4×C59—21no—
488C2×C22⋊C4×C59—21no—
489C2×C42×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—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—
501#41×C59—41no—
502#41×C59—41no—
503#41×C59—82no—
504#41×C59—82no—
505C2×Q8×C59—21no—
506C2×Q8×C59C2×D411yescharacteristic
507C2×Q8×C59C2×D411yescharacteristic
508C2×Q8×C59C2411yescharacteristic
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59—21no—
514C2×D4×C59—21no—
515C2×D4×C59—21no—
516C2×D4×C59—21no—
517C2×D4×C59—21no—
518C2×D4×C59—21no—
519C2×D4×C59—21no—
520C2×D4×C59—21no—
521C2×D4×C59—21no—
522C2×D4×C59—21no—
523C2×D4×C59—21no—
524C2×D4×C59—41no—
525C2×D4×C59—41no—
526C2×D4×C59—41no—
527C2×D4×C59—41no—
528C2×D4×C59—82no—
529C2×D4×C59C2×D411yescharacteristic
530C2×D4×C59C2×D411yescharacteristic
531C2×D4×C59C2×D411yescharacteristic
532C2×D4×C59C2×D411yescharacteristic
533C2×D4×C59C2×D411yescharacteristic
534C2×D4×C59C2×D411yescharacteristic
535C2×D4×C59C2×D411yescharacteristic
536C2×D4×C59C2×D411yescharacteristic
537C2×D4×C59C2×D411yescharacteristic
538C2×D4×C59C2×D411yescharacteristic
539C2×D4×C59C2411yescharacteristic
540C2×D4×C59C2411yescharacteristic
541C2×D4×C59C2411yescharacteristic
542C22×C4×C59—21no—
543C22×C4×C59—21no—
544C22×C4×C59—21no—
545C22×C4×C59—21no—
546C22×C4×C59—21no—
547C22×C4×C59—21no—
548C22×C4×C59—21no—
549C22×C4×C59C2×D411yescharacteristic
550C22×C4×C59C2×D411yescharacteristic
551C22×C4×C59C2411yescharacteristic
552C22×C4×C59C2411yescharacteristic
553C22×C4×C59C2411yescharacteristic
554C22×C4×C59C2411yescharacteristic
555C22×C4×C59C2411yescharacteristic
556C2×C22⋊D59—21no—
557C2×C22⋊D59—21no—
558C2×C22⋊D59—21no—
559C2×C22⋊D59—21no—
560C2×C22⋊D59—21no—
561C2×C22⋊D59—21no—
562C2×C22⋊D59—21no—
563C2×C22⋊D59—21no—
564C2×C22⋊D59—21no—
565C22×Dic59—21no—
566C22×Dic59—21no—
567C22×Dic59—21no—
568#11745689—44no—
569Q8×D59—44no—
570#11745687—44no—
571#11745687—44no—
572#11745687—44no—
573D4×D59—44no—
574D4×D59—44no—
575D4×D59—44no—
576#11745685—22no—
577#11745685—22no—
578#11745685—22no—
579#11745685—22no—
580#11745685—22no—
581#11745685—22no—
582#11745685—41no—
583#11745685—41no—
584#11745685—41no—
585#11745685—41no—
586C2×D236—22no—
587C2×D236—22no—
588C2×D236—21no—
589C2×D236—21no—
590C2×D236—21no—
591C2×D236—41no—
592C2×D236—41no—
593C2×D236—41no—
594C2×D236—41no—
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×Dic118—22no—
606C2×Dic118—22no—
607C2×Dic118—21no—
608C2×Dic118—21no—
609C2×Dic118—21no—
610C2×Dic118—41no—
611C2×Dic118—41no—
612C2×Dic118—41no—
613C2×Dic118—41no—
614C2×Dic118C2411yescharacteristic
615C2×Dic118C2411yescharacteristic
616C2×Dic118C2411yescharacteristic
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59—21no—
621C4⋊C4×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59—21no—
626C4⋊C4×C59C2×D411yescharacteristic
627C4⋊C4×C59C2×D411yescharacteristic
628C4⋊C4×C59C2×D411yescharacteristic
629C4⋊C4×C59C2×D411yescharacteristic
630C4⋊C4×C59C2411yescharacteristic
631C4⋊C4×C59C2411yescharacteristic
632C4⋊C4×C59C2411yescharacteristic
633C4⋊C4×C59C2411yescharacteristic
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C22⋊C4×C59—21no—
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59—21no—
650C22⋊C4×C59—21no—
651C22⋊C4×C59—21no—
652C22⋊C4×C59—21no—
653C22⋊C4×C59C2×D411yescharacteristic
654C22⋊C4×C59C2×D411yescharacteristic
655C22⋊C4×C59C2×D411yescharacteristic
656C22⋊C4×C59C2×D411yescharacteristic
657C22⋊C4×C59C2×D411yescharacteristic
658C22⋊C4×C59C2×D411yescharacteristic
659C22⋊C4×C59C2×D411yescharacteristic
660C22⋊C4×C59C2×D411yescharacteristic
661C42×C59—21no—
662C42×C59—21no—
663C42×C59—21no—
664C42×C59C2×D411yescharacteristic
665C42×C59C2×D411yescharacteristic
666C42×C59C2411yescharacteristic
667C42×C59C2411yescharacteristic
668C22⋊Dic59—21no—
669C22⋊Dic59—21no—
670C22⋊Dic59—21no—
671C22⋊Dic59—21no—
672C22⋊Dic59—21no—
673#11745672—22no—
674#11745672—41no—
675#11745672—41no—
676#11745671—22no—
677#11745671—41no—
678#11745671—41no—
679#11745670—22no—
680#11745670—22no—
681#11745670—22no—
682#11745670—41no—
683#11745670—41no—
684#11745670—41no—
685#11745670—41no—
686#11745670—41no—
687#11745670—41no—
688#11745669—22no—
689#11745669—22no—
690#11745669—22no—
691#11745669—41no—
692#11745669—41no—
693#11745669—41no—
694#11745669—41no—
695#11745669—41no—
696#11745669—41no—
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—
708(C2×D59)⋊C4—21no—
709(C2×D59)⋊C4—21no—
710(C2×D59)⋊C4—21no—
711C4⋊Dic59C2411yescharacteristic
712C4⋊Dic59C2411yescharacteristic
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722#11745664—41no—
723#11745664—41no—
724#11745664—41no—
725#11745664—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8—41no—
728C2×C59⋊C8—41no—
729C2×C59⋊C8—41no—
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733C2×C59⋊C8C2411yescharacteristic
734C2×C59⋊C8C2411yescharacteristic
735C2×C59⋊C8C2411yescharacteristic
736C2×C59⋊C8C2411yescharacteristic
737C2×C59⋊C8C2411yescharacteristic
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—21no—
741C23×C59—81no—
742C23×C59—81no—
743C23×C59—81no—
744C23×C59—81no—
745C23×C59—81no—
746C23×C59—81no—
747C23×C59C22×D411yescharacteristic
748C23×C59C22×D411yescharacteristic
749C23×C59C22×D411yescharacteristic
750C23×C59C22×D411yescharacteristic
751C23×C59C22×D411yescharacteristic
752C22×D59—21no—
753C22×D59—21no—
754C22×D59—21no—
755C22×D59—42no—
756C22×D59—42no—
757C22×D59—42no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—41no—
767Q8×C59—41no—
768Q8×C59—42no—
769D4×C59—21no—
770D4×C59—21no—
771D4×C59—21no—
772D4×C59—21no—
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—41no—
783D4×C59—41no—
784D4×C59—41no—
785D4×C59—42no—
786D4×C59—81no—
787D4×C59—81no—
788D4×C59—81no—
789D4×C59—81no—
790D4×C59—81no—
791D4×C59—81no—
792D4×C59—81no—
793D4×C59—81no—
794D4×C59—81no—
795D4×C59—81no—
796D4×C59—81no—
797D4×C59—81no—
798D4×C59—81no—
799D4×C59—81no—
800C2×C4×C59—21no—
801C2×C4×C59—21no—
802C2×C4×C59—21no—
803C2×C4×C59—21no—
804C2×C4×C59—21no—
805C2×C4×C59—21no—
806C2×C4×C59—21no—
807C2×C4×C59—21no—
808C2×C4×C59—21no—
809C2×C4×C59—21no—
810C2×C4×C59—21no—
811C2×C4×C59—21no—
812C2×C4×C59—21no—
813C2×C4×C59—21no—
814C2×C4×C59—21no—
815C2×C4×C59—41no—
816C2×C4×C59—41no—
817C2×C4×C59—42no—
818C2×C4×C59—81no—
819C2×C4×C59—81no—
820C2×C4×C59—81no—
821C2×C4×C59—81no—
822C2×C4×C59—81no—
823C2×C4×C59—81no—
824C2×C4×C59C22×D411yescharacteristic
825C2×C4×C59C22×D411yescharacteristic
826C2×C4×C59C22×D411yescharacteristic
827C2×C4×C59C22×D411yescharacteristic
828C2×C4×C59C22×D411yescharacteristic
829C2×C4×C59C22×D411yescharacteristic
830C2×C4×C59C22×D411yescharacteristic
831C2×C4×C59C22×D411yescharacteristic
832C2×C4×C59C22×D411yescharacteristic
833C2×C4×C59C2511yescharacteristic
834C22⋊D59—24no—
835C22⋊D59—42no—
836C22⋊D59—42no—
837C22⋊D59—42no—
838C22⋊D59—42no—
839C22⋊D59—81no—
840C22⋊D59—81no—
841C22⋊D59—81no—
842C22⋊D59—81no—
843C2×Dic59—21no—
844C2×Dic59—21no—
845C2×Dic59—21no—
846C2×Dic59—21no—
847C2×Dic59—21no—
848C2×Dic59—42no—
849C2×Dic59—42no—
850C2×Dic59—42no—
851D236—21no—
852D236—21no—
853D236—21no—
854D236—21no—
855D236—21no—
856D236—42no—
857D236—42no—
858D236—42no—
859D236H(5,𝔽2)12yes—
860C4×D59—24no—
861C4×D59—42no—
862C4×D59—42no—
863C4×D59—42no—
864C4×D59—42no—
865C4×D59—81no—
866C4×D59—81no—
867Dic118—21no—
868Dic118—21no—
869Dic118—21no—
870Dic118—21no—
871Dic118—21no—
872Dic118—42no—
873Dic118—42no—
874Dic118—42no—
875Dic118H(5,𝔽2)12yes—
876C59⋊C8—21no—
877C59⋊C8—21no—
878C59⋊C8—21no—
879C59⋊C8—21no—
880C59⋊C8—21no—
881C59⋊C8—21no—
882C59⋊C8—21no—
883C59⋊C8—21no—
884#61690—591nomaximal, Sylow
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—21no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—21no—
895C22×C59—21no—
896C22×C59—21no—
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—41no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59—162no—
910C22×C59—162no—
911C22×C59C23×D411yescharacteristic
912C2×D59—22no—
913C2×D59—41no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—41no—
921C2×D59—162no—
922C2×D59—162no—
923C2×D59—162no—
924C4×C59—21no—
925C4×C59—21no—
926C4×C59—21no—
927C4×C59—21no—
928C4×C59—21no—
929C4×C59—21no—
930C4×C59—21no—
931C4×C59—21no—
932C4×C59—21no—
933C4×C59—41no—
934C4×C59—41no—
935C4×C59—41no—
936C4×C59—41no—
937C4×C59—41no—
938C4×C59C2×H(5,𝔽2)11yescharacteristic
939C4×C59C2×H(5,𝔽2)11yescharacteristic
940Dic59—22no—
941Dic59—41no—
942Dic59—41no—
943Dic59—41no—
944Dic59—41no—
945#3546D5911yescharacteristic, complemented
946#3500—591no—
947#3326—591no—
948#3322—591no—
949#3313—591no—
950#3311—591no—
951#3308—591no—
952#3306—591no—
953#3301—591no—
954#3297—591no—
955#3282—591no—
956#3280—591no—
957#3275—591no—
958#3273—591no—
959#3271—591no—
960#3268—591no—
961#3265—591no—
962#3264—591no—
963#3213—591no—
964#3211—591no—
965#3201—591no—
966#3200—591no—
967#3199—591no—
968#3198—591no—
969#3111—591no—
970#3106—591no—
971#3013—591no—
972#3012—591no—
973#3010—591no—
974#3008—591no—
975#2981—591no—
976C2×C59—41no—
977C2×C59—41no—
978C2×C59—41no—
979C2×C59—41no—
980C2×C59—41no—
981C2×C59—81no—
982C2×C59—81no—
983C2×C59—81no—
984C2×C59#348411yescharacteristic
985C2×C59#358411yescharacteristic
986C2×C59#358511yescharacteristic
987D59—42no—
988D59—81no—
989D59—81no—
990C2×2−1+4—591no—
991C2×H(5,𝔽2)—591no—
992C2×#137—591no—
993C2×AGL(1,ℤ/8)—591no—
994C2×AGL(1,ℤ/8)—591no—
995C2×AGL(1,ℤ/8)—591no—
996C2×#135—591no—
997C2×#135—591no—
998C22×SD16—591no—
999C22×D8—591no—
1000#560—21no—
1001#560—21no—
1002#556C2×D5911yescharacteristic, complemented
1003#553C2×D5911yescharacteristic, complemented
1004#553C2×D5911yescharacteristic, complemented
1005#550—21no—
1006#550C2×D5911yescharacteristic, complemented
1007#548—591no—
1008#548—591no—
1009#548—591no—
1010#548—591no—
1011#547C2×D5911yescharacteristic, complemented
1012#546—21no—
1013#546—591no—
1014#546—591no—
1015#546—591no—
1016#546—591no—
1017#546—1181no—
1018#546—1181no—
1019#546—1181no—
1020#546—1181no—
1021#546C2×D5911yescharacteristic, complemented
1022#546C2×D5911yescharacteristic, complemented
1023D42C2×D5911yescharacteristic, complemented
1024#542—21no—
1025#538—21no—
1026#538—21no—
1027#537C2×D5911yescharacteristic
1028#537C2×D5911yescharacteristic, complemented
1029#536—591no—
1030#536—1181no—
1031#535—21no—
1032#535—591no—
1033#535—1181no—
1034#535C2×D5911yescharacteristic
1035#535C2×D5911yescharacteristic, complemented
1036#532—1181no—
1037#532C2×D5911yescharacteristic
1038#532C2×D5911yescharacteristic, complemented
1039#529C2×D5911yescharacteristic, complemented
1040C2×#124—591no—
1041C2×#124—1181no—
1042C4×#41—591no—
1043#496—591no—
1044#496—591no—
1045#495—591no—
1046#495—591no—
1047#489—591no—
1048#489—591no—
1049#488—591no—
1050#488—591no—
1051#485—591no—
1052#485—591no—
1053#485—591no—
1054#484—591no—
1055#483—591no—
1056#482—591no—
1057#482—591no—
1058#482—591no—
1059#482—591no—
1060#482—591no—
1061#481—591no—
1062#480—591no—
1063#479—591no—
1064#478—591no—
1065#477—591no—
1066#476—591no—
1067#470—591no—
1068#469—591no—
1069#469—591no—
1070#469—591no—
1071#468—591no—
1072#468—591no—
1073#468—591no—
1074#468—591no—
1075#467—591no—
1076#466—591no—
1077#466—591no—
1078#466—591no—
1079#465—591no—
1080#465—591no—
1081#465—591no—
1082#465—591no—
1083#464—591no—
1084#464—591no—
1085#464—591no—
1086#463—591no—
1087#463—591no—
1088#463—591no—
1089#463—591no—
1090#463—591no—
1091#463—591no—
1092#463—591no—
1093#460—591no—
1094#459—591no—
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#452—591no—
1099#452—591no—
1100#451—591no—
1101#451—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#448—591no—
1118#448—591no—
1119#448—591no—
1120#448—591no—
1121#448—591no—
1122#448—591no—
1123#447—591no—
1124#447—591no—
1125#447—591no—
1126#447—591no—
1127#447—591no—
1128#447—591no—
1129#447—591no—
1130#447—591no—
1131#442—591no—
1132#441—591no—
1133#440—591no—
1134#440—591no—
1135C4×SD16—591no—
1136C4×SD16—591no—
1137C4×D8—591no—
1138C4×D8—591no—
1139#436—591no—
1140#436—591no—
1141#435—591no—
1142#435—591no—
1143#435—591no—
1144#435—591no—
1145C8×D4—591no—
1146C8×D4—591no—
1147#432—591no—
1148#431—591no—
1149#419—591no—
1150#418—591no—
1151#417—591no—
1152#417—591no—
1153#416—591no—
1154#416—591no—
1155C2×#103—591no—
1156C2×#102—591no—
1157#408—591no—
1158#408—591no—
1159#408—591no—
1160#408—591no—
1161C59#6169011yescharacteristic, complemented, Sylow
11622−1+4—2362no—
11632−1+4—2362no—
1164H(5,𝔽2)—2362no—
1165H(5,𝔽2)—2362no—
1166C2×#41—21no—
1167C2×#41—21no—
1168C2×#41—591no—
1169C2×#41—591no—
1170C2×#41—591no—
1171C2×#41—591no—
1172C2×#41—591no—
1173C2×#41—1181no—
1174C2×#41—1181no—
1175C2×#41—1181no—
1176C2×#41—1181no—
1177C2×#41C22×D5911yescharacteristic
1178C2×#41C22×D5911yescharacteristic
1179C2×#41C22×D5911yescharacteristic
1180C2×#41C22×D5911yescharacteristic
1181C22×Q8—591no—
1182C22×Q8—591no—
1183C22×Q8—591no—
1184C22×Q8—1181no—
1185C22×D4—21no—
1186C22×D4—591no—
1187C22×D4—591no—
1188C22×D4—591no—
1189C22×D4—1181no—
1190C22×D4—1181no—
1191C22×D4—1181no—
1192C22×D4C22×D5911yescharacteristic
1193C22×D4C22×D5911yescharacteristic
1194#137—2362no—
1195AGL(1,ℤ/8)—2362no—
1196AGL(1,ℤ/8)—2362no—
1197AGL(1,ℤ/8)—2362no—
1198#135—2362no—
1199#135—2362no—
1200C2×Q16—591no—
1201C2×Q16—591no—
1202C2×Q16—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—591no—
1214C2×SD16—591no—
1215C2×SD16—2362no—
1216C2×D8—591no—
1217C2×D8—591no—
1218C2×D8—591no—
1219C2×D8—591no—
1220C2×D8—591no—
1221C2×D8—591no—
1222C2×D8—591no—
1223C2×D8—591no—
1224C2×D8—591no—
1225C2×D8—2362no—
1226C2×M16—591no—
1227C2×M16—591no—
1228C2×M16—591no—
1229C2×M16—591no—
1230C22×C8—591no—
1231C22×C8—591no—
1232C22×C8—591no—
1233C22×C8—591no—
1234C4⋊Q8—1181no—
1235C4⋊Q8C22⋊D5911yescharacteristic
1236C4⋊Q8C22×D5911yescharacteristic
1237#127—21no—
1238#127—21no—
1239#127—21no—
1240#127—1181no—
1241#127C22⋊D5911yescharacteristic
1242#127C22×D5911yescharacteristic
1243#126—21no—
1244#126—21no—
1245#126—21no—
1246#126—21no—
1247#126—21no—
1248#125C22×D5911yescharacteristic
1249#124—21no—
1250#124—21no—
1251#124—21no—
1252#124—21no—
1253#124—591no—
1254#124—591no—
1255#124—591no—
1256#124—591no—
1257#124—1181no—
1258#124—1181no—
1259#124—1181no—
1260#124—1181no—
1261#124—1181no—
1262#124—1181no—
1263#124—1181no—
1264#124—1181no—
1265#124C22⋊D5911yescharacteristic
1266#124C22⋊D5911yescharacteristic
1267#124C22×D5911yescharacteristic
1268#123—21no—
1269#123—21no—
1270#123—21no—
1271#123—21no—
1272#123—21no—
1273#123—21no—
1274#123—21no—
1275#123—1181no—
1276#123—1181no—
1277#123—1181no—
1278#123—1181no—
1279#123—1181no—
1280#123—1181no—
1281C22⋊Q8—21no—
1282C22⋊Q8—21no—
1283C22⋊Q8—21no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—591no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8C22×D5911yescharacteristic
1293C22⋊Q8C22×D5911yescharacteristic
1294C22⋊Q8C22×D5911yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
1312#121—591no—
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#121C22⋊D5911yescharacteristic
1322#121C22⋊D5911yescharacteristic
1323#121C22⋊D5911yescharacteristic
1324#121C22⋊D5911yescharacteristic
1325#121C22×D5911yescharacteristic
1326#121C22×D5911yescharacteristic
1327#121C22×D5911yescharacteristic
1328#121C22×D5911yescharacteristic
1329#121C22×D5911yescharacteristic
1330#121C22×D5911yescharacteristic
1331#121C22×D5911yescharacteristic
1332#121C22×D5911yescharacteristic
1333#121C22×D5911yescharacteristic
1334#120—21no—
1335#120—21no—
1336#120—21no—
1337#120—21no—
1338#120—21no—
1339#120—21no—
1340#120—21no—
1341#120—21no—
1342#120—1181no—
1343#120—1181no—
1344#120—1181no—
1345#120—1181no—
1346#120—1181no—
1347#120—1181no—
1348C4×Q8—21no—
1349C4×Q8—591no—
1350C4×Q8—591no—
1351C4×Q8C22×D5911yescharacteristic
1352C4×D4—21no—
1353C4×D4—21no—
1354C4×D4—21no—
1355C4×D4—21no—
1356C4×D4—21no—
1357C4×D4—591no—
1358C4×D4—591no—
1359C4×D4—1181no—
1360C4×D4—1181no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4—1181no—
1365C4×D4C22×D5911yescharacteristic
1366C4×D4C22×D5911yescharacteristic
1367C4×D4C22×D5911yescharacteristic
1368C4×D4C22×D5911yescharacteristic
1369C4×D4C22×D5911yescharacteristic
1370C4×D4C22×D5911yescharacteristic
1371C4×D4C22×D5911yescharacteristic
1372#117—21no—
1373#117—591no—
1374#117—1181no—
1375#117C22×D5911yescharacteristic
1376#117C22×D5911yescharacteristic
1377C2×C4⋊C4C22×D5911yescharacteristic
1378C2×C4⋊C4C22×D5911yescharacteristic
1379C2×C22⋊C4—21no—
1380C2×C22⋊C4—21no—
1381C2×C22⋊C4—1181no—
1382C2×C22⋊C4—1181no—
1383C2×C22⋊C4—1181no—
1384C2×C22⋊C4—1181no—
1385C2×C22⋊C4—1181no—
1386C2×C22⋊C4—1181no—
1387C2×C42—1181no—
1388C2×C42C22×D5911yescharacteristic
1389#107—591no—
1390#107—591no—
1391#107—591no—
1392#107—591no—
1393#106—591no—
1394#106—591no—
1395#106—591no—
1396#106—591no—
1397C4⋊C8—591no—
1398C4⋊C8—591no—
1399C4⋊C8—591no—
1400C4⋊C8—591no—
1401#103—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103—591no—
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103—591no—
1414#103—591no—
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8—591no—
1436C22⋊C8—591no—
1437C22⋊C8—591no—
1438C22⋊C8—591no—
1439C22⋊C8—591no—
1440C22⋊C8—591no—
1441C22⋊C8—591no—
1442C22⋊C8—591no—
1443C22⋊C8—591no—
1444C22⋊C8—591no—
1445#97—591no—
1446#97—591no—
1447C4×C8—591no—
1448C4×C8—591no—
1449C24—21no—
1450C24—21no—
1451C24—1181no—
1452C24—1181no—
1453C24—1181no—
1454#41—41no—
1455#41—41no—
1456#41—41no—
1457#41—41no—
1458#41—41no—
1459#41—41no—
1460#41—41no—
1461#41—41no—
1462#41—82no—
1463#41—82no—
1464#41—1182no—
1465#41—1182no—
1466#41—1182no—
1467#41—1182no—
1468#41—1182no—
1469#41—1182no—
1470#41—2361no—
1471#41—2361no—
1472#41—2361no—
1473#41—2361no—
1474#41—2364no—
1475#41—2364no—
1476#41—2364no—
1477#41—2364no—
1478C2×Q8—21no—
1479C2×Q8—591no—
1480C2×Q8—591no—
1481C2×Q8—591no—
1482C2×Q8—1182no—
1483C2×Q8—1182no—
1484C2×Q8—1181no—
1485C2×Q8—1181no—
1486C2×Q8—1181no—
1487C2×Q8—2361no—
1488C2×Q8—2361no—
1489C2×Q8—2361no—
1490C2×Q8—2361no—
1491C2×Q8—2364no—
1492C2×Q8C2×C22⋊D5911yescharacteristic
1493C2×Q8C2×C22⋊D5911yescharacteristic
1494C2×Q8C23×D5911yescharacteristic
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—41no—
1511C2×D4—41no—
1512C2×D4—41no—
1513C2×D4—41no—
1514C2×D4—82no—
1515C2×D4—591no—
1516C2×D4—591no—
1517C2×D4—591no—
1518C2×D4—1182no—
1519C2×D4—1182no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—2361no—
1533C2×D4—2361no—
1534C2×D4—2361no—
1535C2×D4—2361no—
1536C2×D4—2364no—
1537C2×D4—2364no—
1538C2×D4—2364no—
1539C2×D4C2×C22⋊D5911yescharacteristic
1540C2×D4C2×C22⋊D5911yescharacteristic
1541C2×D4C2×C22⋊D5911yescharacteristic
1542C2×D4C2×C22⋊D5911yescharacteristic
1543C2×D4C2×C22⋊D5911yescharacteristic
1544C2×D4C2×C22⋊D5911yescharacteristic
1545C2×D4C2×C22⋊D5911yescharacteristic
1546C2×D4C2×C22⋊D5911yescharacteristic
1547C2×D4C2×C22⋊D5911yescharacteristic
1548C2×D4C2×C22⋊D5911yescharacteristic
1549C2×D4C23×D5911yescharacteristic
1550C2×D4C23×D5911yescharacteristic
1551C2×D4C23×D5911yescharacteristic
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—21no—
1557C22×C4—21no—
1558C22×C4—21no—
1559C22×C4—1181no—
1560C22×C4—1181no—
1561C22×C4—1181no—
1562C22×C4—1181no—
1563C22×C4—1181no—
1564C22×C4—1181no—
1565C22×C4—1181no—
1566C22×C4—1181no—
1567C22×C4—1181no—
1568C22×C4—1181no—
1569C22×C4C2×C22⋊D5911yescharacteristic
1570C22×C4C2×C22⋊D5911yescharacteristic
1571C22×C4C23×D5911yescharacteristic
1572C22×C4C23×D5911yescharacteristic
1573C22×C4C23×D5911yescharacteristic
1574C22×C4C23×D5911yescharacteristic
1575C22×C4C23×D5911yescharacteristic
1576Q16—1182no—
1577Q16—2361no—
1578Q16—2361no—
1579SD16—1182no—
1580SD16—1182no—
1581SD16—1182no—
1582SD16—1182no—
1583SD16—2361no—
1584SD16—2361no—
1585SD16—2361no—
1586SD16—2361no—
1587SD16—2361no—
1588SD16—2361no—
1589SD16—2361no—
1590SD16—2361no—
1591D8—1182no—
1592D8—1182no—
1593D8—1182no—
1594D8—2361no—
1595D8—2361no—
1596D8—2361no—
1597D8—2361no—
1598D8—2361no—
1599D8—2361no—
1600M16—2361no—
1601M16—2361no—
1602M16—2361no—
1603M16—2361no—
1604C2×C8—591no—
1605C2×C8—591no—
1606C2×C8—591no—
1607C2×C8—591no—
1608C2×C8—591no—
1609C2×C8—591no—
1610C2×C8—591no—
1611C2×C8—591no—
1612C2×C8—2361no—
1613C2×C8—2361no—
1614C2×C8—2361no—
1615C2×C8—2361no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—21no—
1623C4⋊C4—21no—
1624C4⋊C4—21no—
1625C4⋊C4—591no—
1626C4⋊C4—591no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4C2×C22⋊D5911yescharacteristic
1634C4⋊C4C2×C22⋊D5911yescharacteristic
1635C4⋊C4C2×C22⋊D5911yescharacteristic
1636C4⋊C4C2×C22⋊D5911yescharacteristic
1637C4⋊C4C23×D5911yescharacteristic
1638C4⋊C4C23×D5911yescharacteristic
1639C4⋊C4C23×D5911yescharacteristic
1640C4⋊C4C23×D5911yescharacteristic
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—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
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⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4C2×C22⋊D5911yescharacteristic
1680C22⋊C4C2×C22⋊D5911yescharacteristic
1681C22⋊C4C2×C22⋊D5911yescharacteristic
1682C22⋊C4C2×C22⋊D5911yescharacteristic
1683C22⋊C4C2×C22⋊D5911yescharacteristic
1684C22⋊C4C2×C22⋊D5911yescharacteristic
1685C22⋊C4C2×C22⋊D5911yescharacteristic
1686C22⋊C4C2×C22⋊D5911yescharacteristic
1687C42—21no—
1688C42—21no—
1689C42—21no—
1690C42—1181no—
1691C42—1181no—
1692C42—1181no—
1693C42C2×C22⋊D5911yescharacteristic
1694C42C2×C22⋊D5911yescharacteristic
1695C42C23×D5911yescharacteristic
1696C42C23×D5911yescharacteristic
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—81no—
1701C23—81no—
1702C23—81no—
1703C23—81no—
1704C23—81no—
1705C23—81no—
1706C23—1181no—
1707C23—1181no—
1708C23—1181no—
1709C23—4721no—
1710C23—4721no—
1711C23—4721no—
1712C23—4721no—
1713C23—4721no—
1714C23—4721no—
1715C23—2362no—
1716C23—2362no—
1717C23—2362no—
1718C23C22×C22⋊D5911yescharacteristic
1719C23C22×C22⋊D5911yescharacteristic
1720C23C22×C22⋊D5911yescharacteristic
1721C23C22×C22⋊D5911yescharacteristic
1722C23C22×C22⋊D5911yescharacteristic
1723Q8—21no—
1724Q8—21no—
1725Q8—41no—
1726Q8—41no—
1727Q8—42no—
1728Q8—592no—
1729Q8—1181no—
1730Q8—1181no—
1731Q8—1181no—
1732Q8—1181no—
1733Q8—1181no—
1734Q8—2362no—
1735Q8—2362no—
1736Q8—2362no—
1737D4—21no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—41no—
1744D4—41no—
1745D4—41no—
1746D4—41no—
1747D4—41no—
1748D4—41no—
1749D4—41no—
1750D4—41no—
1751D4—41no—
1752D4—41no—
1753D4—42no—
1754D4—81no—
1755D4—81no—
1756D4—81no—
1757D4—81no—
1758D4—81no—
1759D4—81no—
1760D4—81no—
1761D4—81no—
1762D4—81no—
1763D4—81no—
1764D4—81no—
1765D4—81no—
1766D4—81no—
1767D4—81no—
1768D4—592no—
1769D4—1184no—
1770D4—1181no—
1771D4—1181no—
1772D4—1181no—
1773D4—1181no—
1774D4—1181no—
1775D4—4721no—
1776D4—4721no—
1777D4—4721no—
1778D4—4721no—
1779D4—2362no—
1780D4—2362no—
1781D4—2362no—
1782D4—2362no—
1783D4—2362no—
1784D4—2362no—
1785D4—2362no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—41no—
1802C2×C4—41no—
1803C2×C4—42no—
1804C2×C4—81no—
1805C2×C4—81no—
1806C2×C4—81no—
1807C2×C4—81no—
1808C2×C4—81no—
1809C2×C4—81no—
1810C2×C4—1184no—
1811C2×C4—1181no—
1812C2×C4—1181no—
1813C2×C4—1181no—
1814C2×C4—1181no—
1815C2×C4—1181no—
1816C2×C4—4721no—
1817C2×C4—4721no—
1818C2×C4—2362no—
1819C2×C4—2362no—
1820C2×C4—2362no—
1821C2×C4—2362no—
1822C2×C4—2362no—
1823C2×C4—2362no—
1824C2×C4—2362no—
1825C2×C4C22×C22⋊D5911yescharacteristic
1826C2×C4C22×C22⋊D5911yescharacteristic
1827C2×C4C22×C22⋊D5911yescharacteristic
1828C2×C4C22×C22⋊D5911yescharacteristic
1829C2×C4C22×C22⋊D5911yescharacteristic
1830C2×C4C22×C22⋊D5911yescharacteristic
1831C2×C4C22×C22⋊D5911yescharacteristic
1832C2×C4C22×C22⋊D5911yescharacteristic
1833C2×C4C22×C22⋊D5911yescharacteristic
1834C2×C4C24×D5911yescharacteristic
1835C8—1181no—
1836C8—1181no—
1837C8—1181no—
1838C8—1181no—
1839C8—1181no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C22—21no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—21no—
1856C22—21no—
1857C22—21no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—162no—
1868C22—162no—
1869C22—1182no—
1870C22—9442no—
1871C22—9442no—
1872C22—9442no—
1873C22—2361no—
1874C22—2361no—
1875C22—2361no—
1876C22—2361no—
1877C22—2361no—
1878C22—2361no—
1879C22—2361no—
1880C22—2361no—
1881C22C23×C22⋊D5911yescharacteristic
1882C4—21no—
1883C4—21no—
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—21no—
1889C4—21no—
1890C4—21no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—1182no—
1897C4—2361no—
1898C4—2361no—
1899C4—2361no—
1900C4—2361no—
1901C4H(5,𝔽2)×D5911yescharacteristic
1902C4H(5,𝔽2)×D5911yescharacteristic
1903C2—41no—
1904C2—41no—
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—81no—
1909C2—81no—
1910C2—81no—
1911C2—4721no—
1912C2—4721no—
1913C2—2362no—
1914C2#2143772711yescharacteristic
1915C2#2143886711yescharacteristic
1916C2#2143887611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3546C2
socleC22×C59C23×D4
hypercenter#3546D59
hypocenterC59#61690
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #532 ◁ #3546

Complements

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

NH ≅ G/Ntype
1. #21437883C2semidirect
2. #21436343C2semidirect
3. #21436291C2semidirect
4. #21436156C2semidirect
5. #21436126C2semidirect
6. #21436081C2semidirect
7. #21436051C2semidirect
8. #21435992C2semidirect
9. #21435940C2semidirect
10. #21435799C2semidirect
11. #21435777C2semidirect
12. #21435723C2semidirect
13. #21435703C2semidirect
14. #21435677C2semidirect
15. #21435637C2semidirect
16. #21435587C2semidirect
17. #21435572C2semidirect
18. #21435079C2semidirect
19. #21435057C2semidirect
20. #21434972C2semidirect
21. #21434968C2semidirect
22. #21434957C2semidirect
23. #21434942C2semidirect
24. #21434199C2semidirect
25. #21434150C2semidirect
26. #21433408C2semidirect
27. #21433397C2semidirect
28. #21433380C2semidirect
29. #21433362C2semidirect
30. #21433172C2semidirect
31. C59×#3546C2semidirect
32. C2×#14273774C22semidirect
33. C2×#14273773C22semidirect
34. C2×#14273757C22semidirect
36. C2×#14273753C22semidirect
37. C2×#14273752C22semidirect
38. C2×#14273747C22semidirect
39. C2×#14273747C22semidirect
40. C22×#11745670C22semidirect
43. #16838061C22semidirect
44. #16838061C22semidirect
45. #16838061C22semidirect
47. #16838048C22semidirect
48. #16838048C22semidirect
49. #16838048C22semidirect
55. #16837973C22semidirect
56. #16837966C22semidirect
59. C2×#14273715C22semidirect
61. C4×#11745685C22semidirect
62. #16837789C22semidirect
63. #16837789C22semidirect
64. #16837784C22semidirect
65. #16837784C22semidirect
66. #16837764C22semidirect
67. #16837764C22semidirect
68. #16837759C22semidirect
69. #16837759C22semidirect
70. #16837743C22semidirect
71. #16837743C22semidirect
72. #16837740C22semidirect
73. #16837737C22semidirect
74. #16837732C22semidirect
75. #16837726C22semidirect
76. #16837726C22semidirect
77. #16837723C22semidirect
78. #16837723C22semidirect
79. #16837723C22semidirect
80. #16837720C22semidirect
81. #16837715C22semidirect
82. #16837706C22semidirect
83. #16837699C22semidirect
84. #16837694C22semidirect
85. #16837689C22semidirect
86. #16837658C22semidirect
87. #16837653C22semidirect
88. #16837653C22semidirect
89. #16837653C22semidirect
90. #16837650C22semidirect
91. #16837646C22semidirect
92. #16837646C22semidirect
93. #16837646C22semidirect
94. #16837641C22semidirect
95. #16837636C22semidirect
96. #16837636C22semidirect
97. #16837636C22semidirect
98. #16837633C22semidirect
99. #16837629C22semidirect
100. #16837629C22semidirect
101. #16837629C22semidirect
102. #16837624C22semidirect
103. #16837624C22semidirect
104. #16837621C22semidirect
105. #16837617C22semidirect
106. #16837617C22semidirect
107. #16837617C22semidirect
108. #16837617C22semidirect
109. #16837617C22semidirect
110. #16837617C22semidirect
111. #16837614C22semidirect
112. #16837599C22semidirect
113. #16837594C22semidirect
114. #16837564C22semidirect
115. #16837564C22semidirect
116. #16837562C22semidirect
117. #16837562C22semidirect
118. #16837562C22semidirect
119. #16837557C22semidirect
120. #16837557C22semidirect
121. #16837553C22semidirect
122. #16837553C22semidirect
123. #16837552C22semidirect
124. #16837552C22semidirect
125. #16837547C22semidirect
126. #16837547C22semidirect
130. #16837545C22semidirect
131. #16837545C22semidirect
132. #16837545C22semidirect
133. #16837545C22semidirect
134. #16837545C22semidirect
135. #16837545C22semidirect
136. #16837540C22semidirect
137. #16837540C22semidirect
138. #16837540C22semidirect
139. #16837540C22semidirect
140. #16837540C22semidirect
141. #16837540C22semidirect
142. #16837536C22semidirect
143. #16837536C22semidirect
147. #16837535C22semidirect
148. #16837535C22semidirect
149. #16837535C22semidirect
150. #16837512C22semidirect
151. #16837507C22semidirect
152. #16837502C22semidirect
153. #16837500C22semidirect
154. C4×#11745670C22semidirect
155. C4×#11745670C22semidirect
156. C4×#11745669C22semidirect
157. C4×#11745669C22semidirect
158. #16837480C22semidirect
159. #16837480C22semidirect
160. #16837474C22semidirect
161. #16837474C22semidirect
162. #16837474C22semidirect
163. #16837474C22semidirect
164. D4×C59⋊C8C22semidirect
165. D4×C59⋊C8C22semidirect
166. #16837459C22semidirect
167. #16837455C22semidirect
168. #16837410C22semidirect
169. #16837406C22semidirect
170. #16837401C22semidirect
171. #16837401C22semidirect
172. #16837396C22semidirect
173. #16837396C22semidirect
174. C2×#14273650C22semidirect
175. C2×#14273647C22semidirect
176. #16837369C22semidirect
177. #16837369C22semidirect
178. #16837369C22semidirect
179. #16837369C22semidirect
182. C59×#556C22semidirect
183. C59×#553C22semidirect
184. C59×#553C22semidirect
186. C59×#550C22semidirect
187. C59×#547C22semidirect
189. C59×#546C22semidirect
190. C59×#546C22semidirect
191. D42×C59C22semidirect
196. C59×#537C22semidirect
199. C59×#535C22semidirect
201. C59×#532C22semidirect
202. C59×#529C22semidirect
945. #3546D59semidirect
1002. #556C2×D59semidirect
1003. #553C2×D59semidirect
1004. #553C2×D59semidirect
1006. #550C2×D59semidirect
1011. #547C2×D59semidirect
1021. #546C2×D59semidirect
1022. #546C2×D59semidirect
1023. D42C2×D59semidirect
1028. #537C2×D59semidirect
1035. #535C2×D59semidirect
1038. #532C2×D59semidirect
1039. #529C2×D59semidirect
1161. C59#61690semidirect

Maximal subgroups

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

subgroupindex
#214378832
#214363432
#214362912
#214361562
#214361262
#214360812
#214360512
#214359922
#214359402
#214357992
#214357772
#214357232
#214357032
#214356772
#214356372
#214355872
#214355722
#214350792
#214350572
#214349722
#214349682
#214349572
#214349422
#214341992
#214341502
#214334082
#214333972
#214333802
#214333622
#214331722
C59×#35462
#6169059