Finite Group Databasebeta

← #29475951

Subgroups — #29475951

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#21438470C211yesmaximal, characteristic, complemented
2#21437886C211yesmaximal, characteristic, complemented
3#21436348C211yesmaximal, characteristic, complemented
4#21436296C211yesmaximal, characteristic, complemented
5#21436169C211yesmaximal, characteristic, complemented
6#21436139C211yesmaximal, characteristic, complemented
7#21436094C211yesmaximal, characteristic, complemented
8#21436064C211yesmaximal, characteristic, complemented
9#21435997C211yesmaximal, characteristic, complemented
10#21435945C211yesmaximal, characteristic, complemented
11#21435802C211yesmaximal, characteristic, complemented
12#21435780C211yesmaximal, characteristic, complemented
13#21435726C211yesmaximal, characteristic, complemented
14#21435705C211yesmaximal, characteristic, complemented
15#21435687C211yesmaximal, characteristic, complemented
16#21435631C211yesmaximal, characteristic, complemented
17#21435597C211yesmaximal, characteristic, complemented
18#21435582C211yesmaximal, characteristic, complemented
19#21435083C211yesmaximal, characteristic, complemented
20#21434982C211yesmaximal, characteristic, complemented
21#21434966C211yesmaximal, characteristic, complemented
22#21434959C211yesmaximal, characteristic, complemented
23#21434952C211yesmaximal, characteristic, complemented
24#21434199C211yesmaximal, characteristic, complemented
25#21434157C211yesmaximal, characteristic, complemented
26#21433412C211yesmaximal, characteristic, complemented
27#21433401C211yesmaximal, characteristic, complemented
28#21433377C211yesmaximal, characteristic, complemented
29#21433359C211yesmaximal, characteristic, complemented
30#21433171C211yesmaximal, characteristic, complemented
31C59×#3211C211yesmaximal, characteristic, complemented
32C2×#14273775C2211yescharacteristic, complemented
33C2×#14273772C2211yescharacteristic, complemented
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273754C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic
38C2×#14273750C2211yescharacteristic, complemented
39C2×#14273748C2211yescharacteristic, complemented
40C2×SD16×D59C2211yescharacteristic, complemented
41C2×D8×D59C2211yescharacteristic
42#16838142—21no—
43#16838142—21no—
44#16838125C2211yescharacteristic, complemented
45#16838105C2211yescharacteristic, complemented
46#16838105C2211yescharacteristic, complemented
47#16838074C2211yescharacteristic, complemented
48#16838073—21no—
49#16838060C2211yescharacteristic
50#16838060C2211yescharacteristic, complemented
51#16838060C2211yescharacteristic, complemented
52#16838060C2211yescharacteristic, complemented
53#16838057C2211yescharacteristic, complemented
54#16838048—21no—
55#16838045C2211yescharacteristic
56#16838045C2211yescharacteristic, complemented
57#16838045C2211yescharacteristic, complemented
58#16838045C2211yescharacteristic, complemented
59#16838045C2211yescharacteristic, complemented
60#16838045C2211yescharacteristic, complemented
61#16838042—21no—
62#16838042—21no—
63#16838042—21no—
64#16838042—21no—
65D4×D236C2211yescharacteristic, complemented
66#16838023—21no—
67#16837991—21no—
68#16837991—21no—
69#16837982C2211yescharacteristic
70#16837982C2211yescharacteristic, complemented
71#16837976C2211yescharacteristic, complemented
72#16837972—21no—
73#16837971—21no—
74#16837970—21no—
75#16837969C2211yescharacteristic, complemented
76#16837968C2211yescharacteristic
77#16837968C2211yescharacteristic, complemented
78#16837952C2211yescharacteristic
79#16837952C2211yescharacteristic, complemented
80#16837951—21no—
81#124×D59—21no—
82C4×#11745685C2211yescharacteristic, complemented
83#16837792C2211yescharacteristic, complemented
84#16837792C2211yescharacteristic, complemented
85#16837761C2211yescharacteristic, complemented
86#16837761C2211yescharacteristic, complemented
87#16837742C2211yescharacteristic, complemented
88#16837741C2211yescharacteristic, complemented
89#16837740C2211yescharacteristic, complemented
90#16837736C2211yescharacteristic, complemented
91#16837731C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837724C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837706C2211yescharacteristic, complemented
100#16837699C2211yescharacteristic, complemented
101#16837698C2211yescharacteristic, complemented
102#16837693C2211yescharacteristic, complemented
103#16837657C2211yescharacteristic, complemented
104#16837654C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837652C2211yescharacteristic, complemented
107#16837651C2211yescharacteristic, complemented
108#16837651C2211yescharacteristic, complemented
109#16837645C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837640C2211yescharacteristic, complemented
112#16837637C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic, complemented
114#16837635C2211yescharacteristic, complemented
115#16837634C2211yescharacteristic, complemented
116#16837634C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837628C2211yescharacteristic, complemented
119#16837621C2211yescharacteristic, complemented
120#16837614C2211yescharacteristic, complemented
121#16837614C2211yescharacteristic, complemented
122#16837614C2211yescharacteristic, complemented
123#16837614C2211yescharacteristic, complemented
124#16837614C2211yescharacteristic, complemented
125#16837603C2211yescharacteristic, complemented
126#16837598C2211yescharacteristic, complemented
127#16837563C2211yescharacteristic, complemented
128#16837563C2211yescharacteristic, complemented
129#16837563C2211yescharacteristic, complemented
130#16837562C2211yescharacteristic, complemented
131#16837561C2211yescharacteristic, complemented
132#16837556C2211yescharacteristic, complemented
133#16837551C2211yescharacteristic, complemented
134#16837551C2211yescharacteristic, complemented
135#16837551C2211yescharacteristic, complemented
136#16837550C2211yescharacteristic, complemented
137#16837550C2211yescharacteristic, complemented
138#16837549C2211yescharacteristic, complemented
139#16837549C2211yescharacteristic, complemented
140#16837548C2211yescharacteristic
141#16837548C2211yescharacteristic, complemented
142#16837546C2211yescharacteristic, complemented
143#16837546C2211yescharacteristic, complemented
144#16837546C2211yescharacteristic, complemented
145#16837545C2211yescharacteristic
146#16837544C2211yescharacteristic
147#16837542C2211yescharacteristic, complemented
148#16837542C2211yescharacteristic, complemented
149#16837541C2211yescharacteristic, complemented
150#16837541C2211yescharacteristic, complemented
151#16837539C2211yescharacteristic, complemented
152#16837537C2211yescharacteristic
153#16837537C2211yescharacteristic, complemented
154#16837536C2211yescharacteristic, complemented
155#16837536C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837512C2211yescharacteristic, complemented
160#16837507C2211yescharacteristic, complemented
161#16837502C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163C4×#11745660C2211yescharacteristic, complemented
164C4×#11745660C2211yescharacteristic, complemented
165C4×D472C2211yescharacteristic, complemented
166C4×D472C2211yescharacteristic, complemented
167#16837481C2211yescharacteristic, complemented
168#16837481C2211yescharacteristic, complemented
169#16837472C2211yescharacteristic, complemented
170#16837472C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172#16837472C2211yescharacteristic, complemented
173C8×D236C2211yescharacteristic, complemented
174C8×D236C2211yescharacteristic, complemented
175#16837459C2211yescharacteristic, complemented
176#16837409C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180#16837397C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837367C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic, complemented
189C2×#124×C59C2211yescharacteristic, complemented
190C59×#495C2211yescharacteristic, complemented
191C59×#495C2211yescharacteristic, complemented
192C59×#488C2211yescharacteristic, complemented
193C59×#488C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#463C2211yescharacteristic, complemented
198C59×#451C2211yescharacteristic, complemented
199C59×#450C2211yescharacteristic, complemented
200C59×#448C2211yescharacteristic, complemented
201C59×#447C2211yescharacteristic
202C59×#431C2211yescharacteristic, complemented
203#14273775—42no—
204#14273775—42no—
205#14273772—42no—
206#14273772—42no—
207C2×#11745689—21no—
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745685—21no—
213C2×#11745685—21no—
214C2×#11745685—21no—
215C2×#11745685—21no—
216C2×#11745685C2311yescharacteristic
217C2×#11745685C2311yescharacteristic
218C2×#11745685C2311yescharacteristic
219C2×#11745687—21no—
220C2×#11745687C2311yescharacteristic
221C2×#11745687C2311yescharacteristic
222C2×Q8×D59—21no—
223C2×Q8×D59C2311yescharacteristic
224C2×Q8×D59C2311yescharacteristic
225C22×D236—21no—
226C22×C22⋊D59—21no—
227C22×C22⋊D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C2×D4×D59C2311yescharacteristic
232C2×D4×D59C2311yescharacteristic
233#14273759—42no—
234#14273754—42no—
235#14273754—42no—
236#14273751—42no—
237#14273750—42no—
238#14273748—42no—
239C2×#11745672C2311yescharacteristic
240C2×#11745660C2311yescharacteristic
241C2×#11745660C2311yescharacteristic
242C2×#11745670C2311yescharacteristic
243C2×#11745671C2311yescharacteristic
244C2×#11745671C2311yescharacteristic
245C2×#11745671C2311yescharacteristic
246C2×#11745671C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248SD16×D59—42no—
249C2×D472C2311yescharacteristic
250C2×D472C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254C2×#11745669C2311yescharacteristic
255C2×#11745669C2311yescharacteristic
256D8×D59—42no—
257C2×#11745659C2311yescharacteristic
258C2×#11745659C2311yescharacteristic
259C2×#11745659C2311yescharacteristic
260C2×#11745659C2311yescharacteristic
261C2×C8×D59C2311yescharacteristic
262C2×C8×D59C2311yescharacteristic
263C2×C8×D59C2311yescharacteristic
264C2×C8×D59C2311yescharacteristic
265#14273727D411yescharacteristic
266#14273727C2311yescharacteristic
267#14273725—21no—
268#14273724—21no—
269#14273724D411yescharacteristic
270#14273724C2311yescharacteristic
271#14273723—21no—
272#14273723—21no—
273#14273723—21no—
274#14273722—21no—
275#14273722—21no—
276#14273722—21no—
277#14273722—21no—
278#14273716—21no—
279#14273715—21no—
280#14273715—21no—
281#14273715D411yescharacteristic
282#14273715D411yescharacteristic
283#14273714—21no—
284#14273713—21no—
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273713—21no—
289#14273713—21no—
290#14273712—21no—
291#14273712—21no—
292#14273710—21no—
293#14273710—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709—21no—
297#14273709—21no—
298#14273709—21no—
299#14273709—21no—
300#14273709—21no—
301#14273709—21no—
302#14273706—21no—
303#14273705—21no—
304#14273705—21no—
305#14273704—21no—
306#14273704—21no—
307#14273704—21no—
308#14273704—21no—
309#14273703C2311yescharacteristic
310#14273703C2311yescharacteristic
311#14273703C2311yescharacteristic
312#14273703C2311yescharacteristic
313#14273703C2311yescharacteristic
314#14273703C2311yescharacteristic
315#14273702—21no—
316#14273702—21no—
317#14273702—21no—
318#14273702—21no—
319#14273702—21no—
320#14273702—21no—
321#14273702C2311yescharacteristic
322#14273702C2311yescharacteristic
323#14273702C2311yescharacteristic
324#14273702C2311yescharacteristic
325#14273701—21no—
326#14273701—21no—
327#14273701D411yescharacteristic
328#14273701D411yescharacteristic
329#14273701D411yescharacteristic
330#14273701D411yescharacteristic
331#14273701C2311yescharacteristic
332#14273701C2311yescharacteristic
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700—21no—
341#14273700—21no—
342#14273700—21no—
343#14273700—21no—
344#14273700—21no—
345#14273700—21no—
346#14273700—21no—
347#14273698C2311yescharacteristic
348#14273698C2311yescharacteristic
349#14273698C2311yescharacteristic
350#14273698C2311yescharacteristic
351#14273698C2311yescharacteristic
352#14273698C2311yescharacteristic
353#14273697—21no—
354#14273697—21no—
355#14273697—21no—
356#14273697—21no—
357#14273697—21no—
358#14273697—21no—
359#14273697—21no—
360#14273697—21no—
361#14273697—21no—
362#14273697—21no—
363#14273696—21no—
364#14273696—21no—
365#14273695—21no—
366#14273695—21no—
367C4×Dic118—21no—
368C4×Dic118C2311yescharacteristic
369C4×Dic118C2311yescharacteristic
370C4×D236—21no—
371C4×D236—21no—
372C4×D236C2311yescharacteristic
373C4×D236C2311yescharacteristic
374C4×D236C2311yescharacteristic
375C4×D236C2311yescharacteristic
376C4×D236C2311yescharacteristic
377C4×D236C2311yescharacteristic
378C4×D236C2311yescharacteristic
379C4×D236C2311yescharacteristic
380#14273689—21no—
381#14273689—21no—
382C4×C22⋊D59—21no—
383C4×C22⋊D59—21no—
384(C22⋊D59)⋊C4—21no—
385(C22⋊D59)⋊C4—21no—
386(C22⋊D59)⋊C4—21no—
387(C22⋊D59)⋊C4—21no—
388#14273686C2311yescharacteristic
389#14273685C2311yescharacteristic
390#14273685C2311yescharacteristic
391#14273684—21no—
392C4⋊C4×D59C2311yescharacteristic
393C4⋊C4×D59C2311yescharacteristic
394C22⋊C4×D59—21no—
395C22⋊C4×D59—21no—
396C22⋊C4×D59—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C42×D59—21no—
401#14273661C2311yescharacteristic
402#14273661C2311yescharacteristic
403#14273660C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273659C2311yescharacteristic
406#14273659C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410C4⋊(C59⋊C8)C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273648C2311yescharacteristic
432#14273648C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444(C2×D59)⋊C8C2311yescharacteristic
445#14273638C2311yescharacteristic
446#14273638C2311yescharacteristic
447C22×Q8×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449C2×Q16×C59C2311yescharacteristic
450C2×Q16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×SD16×C59C2311yescharacteristic
455C2×D8×C59C2311yescharacteristic
456C2×D8×C59C2311yescharacteristic
457#126×C59—21no—
458#125×C59C2311yescharacteristic
459#124×C59—21no—
460#124×C59—21no—
461#124×C59C2311yescharacteristic
462#124×C59C2311yescharacteristic
463#124×C59C2311yescharacteristic
464#124×C59C2311yescharacteristic
465#124×C59C2311yescharacteristic
466#123×C59—21no—
467C22⋊Q8×C59C2311yescharacteristic
468#121×C59C2311yescharacteristic
469C4×Q8×C59C2311yescharacteristic
470C4×D4×C59—21no—
471C4×D4×C59C2311yescharacteristic
472#117×C59—21no—
473C2×C22⋊C4×C59—21no—
474C2×C22⋊C4×C59—21no—
475C2×C42×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477C4⋊C8×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C4×C8×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C24×C59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C2×Q8×C59—21no—
496C2×Q8×C59—41no—
497C2×Q8×C59—41no—
498C2×Q8×C59C2411yescharacteristic
499C2×Q8×C59C2411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—41no—
504C2×D4×C59—41no—
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59C2×D411yescharacteristic
511C22×C4×C59C2×D411yescharacteristic
512C22×C4×C59C2411yescharacteristic
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—44no—
529C2×C22⋊D59—44no—
530C2×C22⋊D59C2×D411yescharacteristic
531C2×C22⋊D59C2×D411yescharacteristic
532C2×C22⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C22×Dic59—21no—
535C22×Dic59—21no—
536#11745689—22no—
537#11745689—22no—
538#11745689—41no—
539#11745689—41no—
540#11745689—44no—
541#11745689—41no—
542#11745689—41no—
543#11745689—41no—
544#11745689—41no—
545Q8×D59—22no—
546Q8×D59—22no—
547Q8×D59—41no—
548Q8×D59—41no—
549Q8×D59—44no—
550#11745687—22no—
551#11745687—22no—
552#11745687—41no—
553#11745687—41no—
554#11745687—44no—
555D4×D59—22no—
556D4×D59—22no—
557D4×D59—41no—
558D4×D59—41no—
559D4×D59—41no—
560D4×D59—41no—
561D4×D59—41no—
562D4×D59—41no—
563D4×D59—44no—
564#11745685—22no—
565#11745685—22no—
566#11745685—41no—
567#11745685—41no—
568#11745685—41no—
569#11745685—41no—
570#11745685—44no—
571#11745685—44no—
572#11745685—82no—
573#11745685—82no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—21no—
579C2×D236—21no—
580C2×D236—21no—
581C2×D236—21no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—82no—
585C2×D236C2×D411yescharacteristic
586C2×D236C2×D411yescharacteristic
587C2×D236C2×D411yescharacteristic
588C2×D236C2×D411yescharacteristic
589C2×D236C2×D411yescharacteristic
590C2×D236C2×D411yescharacteristic
591C2×D236C2411yescharacteristic
592C2×D236C2411yescharacteristic
593C2×D236C2411yescharacteristic
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—21no—
598C2×C4×D59—21no—
599C2×C4×D59—21no—
600C2×C4×D59—21no—
601C2×C4×D59—21no—
602C2×C4×D59—21no—
603C2×C4×D59—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59C2411yescharacteristic
608C2×C4×D59C2411yescharacteristic
609C2×C4×D59C2411yescharacteristic
610C2×C4×D59C2411yescharacteristic
611C2×Dic118—21no—
612C2×Dic118—21no—
613C2×Dic118—21no—
614C2×Dic118C2×D411yescharacteristic
615C2×Dic118C2×D411yescharacteristic
616C2×Dic118C2411yescharacteristic
617Q16×C59—41no—
618Q16×C59—41no—
619SD16×C59—41no—
620SD16×C59—41no—
621SD16×C59—41no—
622SD16×C59—41no—
623D8×C59—41no—
624D8×C59—41no—
625C2×C8×C59C2411yescharacteristic
626C2×C8×C59C2411yescharacteristic
627C2×C8×C59C2411yescharacteristic
628C2×C8×C59C2411yescharacteristic
629C4⋊C4×C59—21no—
630C4⋊C4×C59—21no—
631C4⋊C4×C59—21no—
632C4⋊C4×C59—21no—
633C4⋊C4×C59C2411yescharacteristic
634C4⋊C4×C59C2411yescharacteristic
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—
648C42×C59—21no—
649C42×C59C2×D411yescharacteristic
650C42×C59C2×D411yescharacteristic
651C42×C59C2411yescharacteristic
652C42×C59C2411yescharacteristic
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660#11745672—22no—
661#11745671—22no—
662#11745671—41no—
663#11745671—41no—
664#11745671—41no—
665#11745671—41no—
666#11745670—22no—
667#11745669—22no—
668#11745669—41no—
669#11745669—41no—
670#11745669—41no—
671#11745669—41no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4C2×D411yescharacteristic
691(C2×D59)⋊C4C2×D411yescharacteristic
692(C2×D59)⋊C4C2×D411yescharacteristic
693(C2×D59)⋊C4C2×D411yescharacteristic
694(C2×D59)⋊C4C2×D411yescharacteristic
695(C2×D59)⋊C4C2×D411yescharacteristic
696(C2×D59)⋊C4C2×D411yescharacteristic
697(C2×D59)⋊C4C2×D411yescharacteristic
698C4⋊Dic59—21no—
699C4⋊Dic59C2×D411yescharacteristic
700C4⋊Dic59C2×D411yescharacteristic
701C4⋊Dic59C2×D411yescharacteristic
702C4⋊Dic59C2×D411yescharacteristic
703C4⋊Dic59C2411yescharacteristic
704C4⋊Dic59C2411yescharacteristic
705C4⋊Dic59C2411yescharacteristic
706C4⋊Dic59C2411yescharacteristic
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C2×C59⋊C8C2411yescharacteristic
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726D472—22no—
727D472—22no—
728#11745660—22no—
729#11745660—22no—
730#11745659—41no—
731#11745659—41no—
732#11745659—41no—
733#11745659—41no—
734C8×D59—41no—
735C8×D59—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—21no—
741C23×C59—42no—
742C23×C59—81no—
743C23×C59—81no—
744C23×C59C22×D411yescharacteristic
745C22×D59—21no—
746C22×D59—21no—
747C22×D59—21no—
748C22×D59—42no—
749C22×D59—42no—
750C22×D59—81no—
751C22×D59—81no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763C22×D59C22×D411yescharacteristic
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—21no—
770Q8×C59—42no—
771D4×C59—21no—
772D4×C59—21no—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—42no—
778D4×C59—81no—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—41no—
787C2×C4×C59—41no—
788C2×C4×C59—42no—
789C2×C4×C59—42no—
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C22×D411yescharacteristic
792C2×C4×C59C22×D411yescharacteristic
793C2×C4×C59C22×D411yescharacteristic
794C2×C4×C59C22×D411yescharacteristic
795C2×C4×C59C2511yescharacteristic
796C22⋊D59—24no—
797C22⋊D59—41no—
798C22⋊D59—41no—
799C22⋊D59—41no—
800C22⋊D59—41no—
801C22⋊D59—42no—
802C22⋊D59—42no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—81no—
806C22⋊D59—81no—
807C22⋊D59—81no—
808C22⋊D59—81no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C22⋊D59—81no—
814C22⋊D59—81no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—42no—
821C2×Dic59—42no—
822C2×Dic59C22×D411yescharacteristic
823C2×Dic59C22×D411yescharacteristic
824C2×Dic59C22×D411yescharacteristic
825C2×Dic59C22×D411yescharacteristic
826D236—21no—
827D236—21no—
828D236—21no—
829D236—21no—
830D236—21no—
831D236—41no—
832D236—41no—
833D236—41no—
834D236—41no—
835D236—41no—
836D236—41no—
837D236—42no—
838D236—42no—
839D236—42no—
840D236—81no—
841D236—81no—
842D236—81no—
843D236—81no—
844D236—81no—
845D236—81no—
846D236—81no—
847D236H(5,𝔽2)12yes—
848C4×D59—24no—
849C4×D59—21no—
850C4×D59—21no—
851C4×D59—21no—
852C4×D59—21no—
853C4×D59—21no—
854C4×D59—21no—
855C4×D59—21no—
856C4×D59—21no—
857C4×D59—42no—
858C4×D59—42no—
859C4×D59—42no—
860C4×D59—42no—
861C4×D59—81no—
862C4×D59—81no—
863C4×D59—81no—
864C4×D59—81no—
865C4×D59—81no—
866C4×D59—81no—
867C4×D59—81no—
868C4×D59—81no—
869Dic118—21no—
870Dic118—41no—
871Dic118—41no—
872Dic118—42no—
873Dic118—42no—
874Dic118—42no—
875Dic118H(5,𝔽2)12yes—
876C8×C59—21no—
877C8×C59—21no—
878C8×C59—21no—
879C8×C59—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—41no—
889C22×C59—41no—
890C22×C59—41no—
891C22×C59—41no—
892C22×C59—41no—
893C22×C59—41no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—162no—
898C22×C59C23×D411yescharacteristic
899C2×D59—21no—
900C2×D59—21no—
901C2×D59—21no—
902C2×D59—21no—
903C2×D59—21no—
904C2×D59—21no—
905C2×D59—21no—
906C2×D59—21no—
907C2×D59—22no—
908C2×D59—21no—
909C2×D59—21no—
910C2×D59—21no—
911C2×D59—21no—
912C2×D59—41no—
913C2×D59—41no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—162no—
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—41no—
930C4×C59—41no—
931C4×C59—41no—
932C4×C59—41no—
933C4×C59—41no—
934C4×C59C2×H(5,𝔽2)11yescharacteristic
935C4×C59C2×H(5,𝔽2)11yescharacteristic
936Dic59—22no—
937Dic59—21no—
938Dic59—21no—
939Dic59—21no—
940Dic59—21no—
941Dic59—41no—
942Dic59—41no—
943Dic59—41no—
944Dic59—41no—
945#3546—591no—
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#3211D5911yescharacteristic, complemented
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—81no—
978C2×C59—81no—
979C2×C59—81no—
980C2×C59#348411yescharacteristic
981C2×C59#358411yescharacteristic
982C2×C59#358511yescharacteristic
983D59—41no—
984D59—41no—
985D59—41no—
986D59—41no—
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—1181no—
1001#560—1181no—
1002#556—591no—
1003#553—591no—
1004#553—591no—
1005#550—591no—
1006#550—1181no—
1007#548—591no—
1008#548—591no—
1009#548—591no—
1010#548—591no—
1011#547—591no—
1012#546—591no—
1013#546—591no—
1014#546—591no—
1015#546—591no—
1016#546—591no—
1017#546—591no—
1018#546—1181no—
1019#546—1181no—
1020#546—1181no—
1021#546—1181no—
1022#546—1181no—
1023D42—591no—
1024#542—1181no—
1025#538—1181no—
1026#538—1181no—
1027#537—591no—
1028#537—591no—
1029#536—591no—
1030#536—1181no—
1031#535—591no—
1032#535—591no—
1033#535—591no—
1034#535—1181no—
1035#535—1181no—
1036#532—591no—
1037#532—591no—
1038#532—1181no—
1039#529C2×D5911yescharacteristic, complemented
1040C2×#124—1181no—
1041C2×#124C2×D5911yescharacteristic, complemented
1042C4×#41—591no—
1043#496—591no—
1044#496—591no—
1045#495C2×D5911yescharacteristic, complemented
1046#495C2×D5911yescharacteristic, complemented
1047#489—591no—
1048#489—591no—
1049#488C2×D5911yescharacteristic, complemented
1050#488C2×D5911yescharacteristic, complemented
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#464C2×D5911yescharacteristic, complemented
1085#464C2×D5911yescharacteristic, complemented
1086#463—591no—
1087#463—591no—
1088#463—591no—
1089#463—591no—
1090#463—591no—
1091#463C2×D5911yescharacteristic, complemented
1092#463C2×D5911yescharacteristic, complemented
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#451C2×D5911yescharacteristic, complemented
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450C2×D5911yescharacteristic, complemented
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#448C2×D5911yescharacteristic, complemented
1123#447—591no—
1124#447—591no—
1125#447—591no—
1126#447—591no—
1127#447—591no—
1128#447—591no—
1129#447—591no—
1130#447C2×D5911yescharacteristic
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#431C2×D5911yescharacteristic, complemented
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—591no—
1167C2×#41—591no—
1168C2×#41—591no—
1169C2×#41—591no—
1170C2×#41—591no—
1171C2×#41—591no—
1172C2×#41—591no—
1173C2×#41—591no—
1174C2×#41—591no—
1175C2×#41—1181no—
1176C2×#41—1181no—
1177C2×#41—1181no—
1178C2×#41—1181no—
1179C2×#41—1181no—
1180C2×#41—1181no—
1181C22×Q8—591no—
1182C22×Q8—591no—
1183C22×Q8—1181no—
1184C22×Q8C22×D5911yescharacteristic
1185C22×D4—591no—
1186C22×D4—591no—
1187C22×D4—591no—
1188C22×D4—591no—
1189C22×D4—1181no—
1190C22×D4—1181no—
1191C22×D4—1181no—
1192C22×D4—1181no—
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×Q16C22×D5911yescharacteristic
1202C2×Q16C22×D5911yescharacteristic
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—2362no—
1212C2×SD16C22×D5911yescharacteristic
1213C2×SD16C22×D5911yescharacteristic
1214C2×SD16C22×D5911yescharacteristic
1215C2×SD16C22×D5911yescharacteristic
1216C2×D8—591no—
1217C2×D8—591no—
1218C2×D8—591no—
1219C2×D8—591no—
1220C2×D8—591no—
1221C2×D8—591no—
1222C2×D8—591no—
1223C2×D8—2362no—
1224C2×D8C22×D5911yescharacteristic
1225C2×D8C22×D5911yescharacteristic
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—591no—
1235C4⋊Q8—591no—
1236C4⋊Q8—1181no—
1237#127—591no—
1238#127—591no—
1239#127—1181no—
1240#127—1181no—
1241#127—1181no—
1242#127—1181no—
1243#126—21no—
1244#126—1181no—
1245#126—1181no—
1246#126—1181no—
1247#126—1181no—
1248#125C22×D5911yescharacteristic
1249#124—21no—
1250#124—21no—
1251#124—591no—
1252#124—591no—
1253#124—1181no—
1254#124—1181no—
1255#124—1181no—
1256#124—1181no—
1257#124—1181no—
1258#124—1181no—
1259#124—1181no—
1260#124—1181no—
1261#124—1181no—
1262#124—1181no—
1263#124C22×D5911yescharacteristic
1264#124C22×D5911yescharacteristic
1265#124C22×D5911yescharacteristic
1266#124C22×D5911yescharacteristic
1267#124C22×D5911yescharacteristic
1268#123—21no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277#123—1181no—
1278#123—1181no—
1279#123—1181no—
1280#123—1181no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8C22×D5911yescharacteristic
1295#121—591no—
1296#121—591no—
1297#121—591no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
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#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121C22×D5911yescharacteristic
1334#120—1181no—
1335#120—1181no—
1336#120—1181no—
1337#120—1181no—
1338#120—1181no—
1339#120—1181no—
1340#120—1181no—
1341#120—1181no—
1342#120—1181no—
1343#120—1181no—
1344#120—1181no—
1345#120—1181no—
1346#120—1181no—
1347#120—1181no—
1348C4×Q8—591no—
1349C4×Q8—591no—
1350C4×Q8—1181no—
1351C4×Q8C22×D5911yescharacteristic
1352C4×D4—21no—
1353C4×D4—591no—
1354C4×D4—591no—
1355C4×D4—591no—
1356C4×D4—591no—
1357C4×D4—591no—
1358C4×D4—591no—
1359C4×D4—591no—
1360C4×D4—591no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4—1181no—
1365C4×D4—1181no—
1366C4×D4—1181no—
1367C4×D4—1181no—
1368C4×D4—1181no—
1369C4×D4—1181no—
1370C4×D4—1181no—
1371C4×D4C22×D5911yescharacteristic
1372#117—21no—
1373#117—591no—
1374#117—591no—
1375#117—591no—
1376#117—1181no—
1377C2×C4⋊C4—591no—
1378C2×C4⋊C4—591no—
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⋊C8C22×D5911yescharacteristic
1400C4⋊C8C22×D5911yescharacteristic
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#103C22×D5911yescharacteristic
1412#103C22×D5911yescharacteristic
1413#103C22×D5911yescharacteristic
1414#103C22×D5911yescharacteristic
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#102C22×D5911yescharacteristic
1430#102C22×D5911yescharacteristic
1431#102C22×D5911yescharacteristic
1432#102C22×D5911yescharacteristic
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⋊C8C22×D5911yescharacteristic
1444C22⋊C8C22×D5911yescharacteristic
1445#97—591no—
1446#97—591no—
1447C4×C8C22×D5911yescharacteristic
1448C4×C8C22×D5911yescharacteristic
1449C24—21no—
1450C24—1181no—
1451C24—1181no—
1452C24—1181no—
1453C24—1181no—
1454#41—1182no—
1455#41—1182no—
1456#41—1182no—
1457#41—1182no—
1458#41—1182no—
1459#41—1182no—
1460#41—4722no—
1461#41—4722no—
1462#41—2361no—
1463#41—2361no—
1464#41—2361no—
1465#41—2361no—
1466#41—2364no—
1467#41—2364no—
1468#41—2361no—
1469#41—2361no—
1470#41—2361no—
1471#41—2361no—
1472#41—2361no—
1473#41—2361no—
1474#41—2364no—
1475#41—2361no—
1476#41—2361no—
1477#41—2364no—
1478C2×Q8—21no—
1479C2×Q8—41no—
1480C2×Q8—41no—
1481C2×Q8—591no—
1482C2×Q8—591no—
1483C2×Q8—591no—
1484C2×Q8—1181no—
1485C2×Q8—1181no—
1486C2×Q8—1181no—
1487C2×Q8—1182no—
1488C2×Q8—1182no—
1489C2×Q8—2361no—
1490C2×Q8—2361no—
1491C2×Q8—2364no—
1492C2×Q8C23×D5911yescharacteristic
1493C2×Q8C23×D5911yescharacteristic
1494C2×Q8C23×D5911yescharacteristic
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—41no—
1498C2×D4—41no—
1499C2×D4—591no—
1500C2×D4—591no—
1501C2×D4—591no—
1502C2×D4—591no—
1503C2×D4—591no—
1504C2×D4—591no—
1505C2×D4—591no—
1506C2×D4—591no—
1507C2×D4—591no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—591no—
1511C2×D4—591no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1182no—
1525C2×D4—1182no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—4722no—
1540C2×D4—2361no—
1541C2×D4—2361no—
1542C2×D4—2361no—
1543C2×D4—2361no—
1544C2×D4—2361no—
1545C2×D4—2361no—
1546C2×D4—2364no—
1547C2×D4—2364no—
1548C2×D4—2364no—
1549C2×D4C23×D5911yescharacteristic
1550C2×D4C23×D5911yescharacteristic
1551C2×D4C23×D5911yescharacteristic
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—591no—
1555C22×C4—591no—
1556C22×C4—591no—
1557C22×C4—591no—
1558C22×C4—1181no—
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×C4—1181no—
1570C22×C4—1181no—
1571C22×C4—1181no—
1572C22×C4—1181no—
1573C22×C4D4×D5911yescharacteristic
1574C22×C4D4×D5911yescharacteristic
1575C22×C4C23×D5911yescharacteristic
1576Q16—41no—
1577Q16—41no—
1578Q16—1182no—
1579SD16—41no—
1580SD16—41no—
1581SD16—41no—
1582SD16—41no—
1583SD16—1182no—
1584SD16—1182no—
1585SD16—1182no—
1586SD16—1182no—
1587SD16—2361no—
1588SD16—2361no—
1589SD16—2361no—
1590SD16—2361no—
1591D8—41no—
1592D8—41no—
1593D8—1182no—
1594D8—1182no—
1595D8—1182no—
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—2361no—
1609C2×C8—2361no—
1610C2×C8—2361no—
1611C2×C8—2361no—
1612C2×C8C23×D5911yescharacteristic
1613C2×C8C23×D5911yescharacteristic
1614C2×C8C23×D5911yescharacteristic
1615C2×C8C23×D5911yescharacteristic
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—591no—
1621C4⋊C4—591no—
1622C4⋊C4—591no—
1623C4⋊C4—591no—
1624C4⋊C4—591no—
1625C4⋊C4—591no—
1626C4⋊C4—591no—
1627C4⋊C4—591no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4—1181no—
1635C4⋊C4—1181no—
1636C4⋊C4—1181no—
1637C4⋊C4—1181no—
1638C4⋊C4—1181no—
1639C4⋊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—591no—
1655C22⋊C4—591no—
1656C22⋊C4—591no—
1657C22⋊C4—591no—
1658C22⋊C4—591no—
1659C22⋊C4—591no—
1660C22⋊C4—591no—
1661C22⋊C4—591no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C42—21no—
1688C42—1181no—
1689C42—1181no—
1690C42—1181no—
1691C42—1181no—
1692C42—1181no—
1693C42D4×D5911yescharacteristic
1694C42D4×D5911yescharacteristic
1695C42C23×D5911yescharacteristic
1696C42C23×D5911yescharacteristic
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—42no—
1701C23—81no—
1702C23—81no—
1703C23—591no—
1704C23—591no—
1705C23—591no—
1706C23—591no—
1707C23—1181no—
1708C23—1181no—
1709C23—1181no—
1710C23—4721no—
1711C23—4721no—
1712C23—4721no—
1713C23—4721no—
1714C23—4721no—
1715C23—4721no—
1716C23—4721no—
1717C23—4721no—
1718C23—4721no—
1719C23—4721no—
1720C23—2362no—
1721C23—2362no—
1722C23C2×D4×D5911yescharacteristic
1723Q8—21no—
1724Q8—21no—
1725Q8—21no—
1726Q8—21no—
1727Q8—21no—
1728Q8—21no—
1729Q8—42no—
1730Q8—592no—
1731Q8—1181no—
1732Q8—2361no—
1733Q8—2361no—
1734Q8—2362no—
1735Q8—2362no—
1736Q8—2362no—
1737D4—21no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—42no—
1744D4—81no—
1745D4—592no—
1746D4—1184no—
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—4721no—
1761D4—4721no—
1762D4—4721no—
1763D4—4721no—
1764D4—4721no—
1765D4—4721no—
1766D4—4721no—
1767D4—4721no—
1768D4—4721no—
1769D4—2361no—
1770D4—2361no—
1771D4—2361no—
1772D4—2361no—
1773D4—2361no—
1774D4—2361no—
1775D4—2362no—
1776D4—2362no—
1777D4—2362no—
1778D4—2361no—
1779D4—2361no—
1780D4—2361no—
1781D4—2361no—
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—41no—
1794C2×C4—41no—
1795C2×C4—42no—
1796C2×C4—42no—
1797C2×C4—591no—
1798C2×C4—591no—
1799C2×C4—591no—
1800C2×C4—591no—
1801C2×C4—1184no—
1802C2×C4—1181no—
1803C2×C4—1181no—
1804C2×C4—1181no—
1805C2×C4—1181no—
1806C2×C4—1181no—
1807C2×C4—1181no—
1808C2×C4—1181no—
1809C2×C4—1181no—
1810C2×C4—1181no—
1811C2×C4—1181no—
1812C2×C4—1181no—
1813C2×C4—1181no—
1814C2×C4—1181no—
1815C2×C4—4721no—
1816C2×C4—4721no—
1817C2×C4—4721no—
1818C2×C4—4721no—
1819C2×C4—4721no—
1820C2×C4—4721no—
1821C2×C4—4721no—
1822C2×C4—4721no—
1823C2×C4—2362no—
1824C2×C4—2362no—
1825C2×C4—2362no—
1826C2×C4—2362no—
1827C2×C4—2362no—
1828C2×C4—2362no—
1829C2×C4C2×D4×D5911yescharacteristic
1830C2×C4C2×D4×D5911yescharacteristic
1831C2×C4C2×D4×D5911yescharacteristic
1832C2×C4C2×D4×D5911yescharacteristic
1833C2×C4C2×D4×D5911yescharacteristic
1834C2×C4C24×D5911yescharacteristic
1835C8—21no—
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—1181no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C22—21no—
1844C22—21no—
1845C22—21no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—162no—
1856C22—1182no—
1857C22—1181no—
1858C22—1181no—
1859C22—1181no—
1860C22—1181no—
1861C22—1181no—
1862C22—1181no—
1863C22—1181no—
1864C22—1181no—
1865C22—1181no—
1866C22—1181no—
1867C22—1181no—
1868C22—1181no—
1869C22—9442no—
1870C22—9442no—
1871C22—9442no—
1872C22—9442no—
1873C22—2361no—
1874C22—2361no—
1875C22—2361no—
1876C22—2361no—
1877C22—2361no—
1878C22—2361no—
1879C22—2361no—
1880C22—2361no—
1881C22C22×D4×D5911yescharacteristic
1882C4—21no—
1883C4—21no—
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—1181no—
1893C4—1181no—
1894C4—1181no—
1895C4—1181no—
1896C4—1182no—
1897C4—2361no—
1898C4—2361no—
1899C4—2361no—
1900C4—2361no—
1901C4H(5,𝔽2)×D5911yescharacteristic
1902C4H(5,𝔽2)×D5911yescharacteristic
1903C2—41no—
1904C2—81no—
1905C2—81no—
1906C2—81no—
1907C2—4721no—
1908C2—4721no—
1909C2—2361no—
1910C2—2361no—
1911C2—2361no—
1912C2—2361no—
1913C2—2362no—
1914C2#2143773011yescharacteristic
1915C2#2143886511yescharacteristic
1916C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3211C2
socleC22×C59C23×D4
hypercenter#3211D59
hypocenterC59#61690
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3211

Complements

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

NH ≅ G/Ntype
1. #21438470C2semidirect
2. #21437886C2semidirect
3. #21436348C2semidirect
4. #21436296C2semidirect
5. #21436169C2semidirect
6. #21436139C2semidirect
7. #21436094C2semidirect
8. #21436064C2semidirect
9. #21435997C2semidirect
10. #21435945C2semidirect
11. #21435802C2semidirect
12. #21435780C2semidirect
13. #21435726C2semidirect
14. #21435705C2semidirect
15. #21435687C2semidirect
16. #21435631C2semidirect
17. #21435597C2semidirect
18. #21435582C2semidirect
19. #21435083C2semidirect
20. #21434982C2semidirect
21. #21434966C2semidirect
22. #21434959C2semidirect
23. #21434952C2semidirect
24. #21434199C2semidirect
25. #21434157C2semidirect
26. #21433412C2semidirect
27. #21433401C2semidirect
28. #21433377C2semidirect
29. #21433359C2semidirect
30. #21433171C2semidirect
31. C59×#3211C2semidirect
32. C2×#14273775C22semidirect
33. C2×#14273772C22semidirect
34. C2×#14273759C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273754C22semidirect
38. C2×#14273750C22semidirect
39. C2×#14273748C22semidirect
40. C2×SD16×D59C22semidirect
44. #16838125C22semidirect
45. #16838105C22semidirect
46. #16838105C22semidirect
47. #16838074C22semidirect
50. #16838060C22semidirect
51. #16838060C22semidirect
52. #16838060C22semidirect
53. #16838057C22semidirect
56. #16838045C22semidirect
57. #16838045C22semidirect
58. #16838045C22semidirect
59. #16838045C22semidirect
60. #16838045C22semidirect
65. D4×D236C22semidirect
70. #16837982C22semidirect
71. #16837976C22semidirect
75. #16837969C22semidirect
77. #16837968C22semidirect
79. #16837952C22semidirect
82. C4×#11745685C22semidirect
83. #16837792C22semidirect
84. #16837792C22semidirect
85. #16837761C22semidirect
86. #16837761C22semidirect
87. #16837742C22semidirect
88. #16837741C22semidirect
89. #16837740C22semidirect
90. #16837736C22semidirect
91. #16837731C22semidirect
92. #16837727C22semidirect
93. #16837727C22semidirect
94. #16837725C22semidirect
95. #16837724C22semidirect
96. #16837723C22semidirect
97. #16837719C22semidirect
98. #16837714C22semidirect
99. #16837706C22semidirect
100. #16837699C22semidirect
101. #16837698C22semidirect
102. #16837693C22semidirect
103. #16837657C22semidirect
104. #16837654C22semidirect
105. #16837654C22semidirect
106. #16837652C22semidirect
107. #16837651C22semidirect
108. #16837651C22semidirect
109. #16837645C22semidirect
110. #16837645C22semidirect
111. #16837640C22semidirect
112. #16837637C22semidirect
113. #16837637C22semidirect
114. #16837635C22semidirect
115. #16837634C22semidirect
116. #16837634C22semidirect
117. #16837628C22semidirect
118. #16837628C22semidirect
119. #16837621C22semidirect
120. #16837614C22semidirect
121. #16837614C22semidirect
122. #16837614C22semidirect
123. #16837614C22semidirect
124. #16837614C22semidirect
125. #16837603C22semidirect
126. #16837598C22semidirect
127. #16837563C22semidirect
128. #16837563C22semidirect
129. #16837563C22semidirect
130. #16837562C22semidirect
131. #16837561C22semidirect
132. #16837556C22semidirect
133. #16837551C22semidirect
134. #16837551C22semidirect
135. #16837551C22semidirect
136. #16837550C22semidirect
137. #16837550C22semidirect
138. #16837549C22semidirect
139. #16837549C22semidirect
141. #16837548C22semidirect
142. #16837546C22semidirect
143. #16837546C22semidirect
144. #16837546C22semidirect
147. #16837542C22semidirect
148. #16837542C22semidirect
149. #16837541C22semidirect
150. #16837541C22semidirect
151. #16837539C22semidirect
153. #16837537C22semidirect
154. #16837536C22semidirect
155. #16837536C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837512C22semidirect
160. #16837507C22semidirect
161. #16837502C22semidirect
162. #16837500C22semidirect
163. C4×#11745660C22semidirect
164. C4×#11745660C22semidirect
165. C4×D472C22semidirect
166. C4×D472C22semidirect
167. #16837481C22semidirect
168. #16837481C22semidirect
169. #16837472C22semidirect
170. #16837472C22semidirect
171. #16837472C22semidirect
172. #16837472C22semidirect
173. C8×D236C22semidirect
174. C8×D236C22semidirect
175. #16837459C22semidirect
176. #16837409C22semidirect
177. #16837405C22semidirect
178. #16837402C22semidirect
179. #16837400C22semidirect
180. #16837397C22semidirect
181. #16837395C22semidirect
182. #103×D59C22semidirect
183. #102×D59C22semidirect
184. #16837367C22semidirect
185. #16837367C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C59×#529C22semidirect
189. C2×#124×C59C22semidirect
190. C59×#495C22semidirect
191. C59×#495C22semidirect
192. C59×#488C22semidirect
193. C59×#488C22semidirect
194. C59×#464C22semidirect
195. C59×#464C22semidirect
196. C59×#463C22semidirect
197. C59×#463C22semidirect
198. C59×#451C22semidirect
199. C59×#450C22semidirect
200. C59×#448C22semidirect
202. C59×#431C22semidirect
964. #3211D59semidirect
1039. #529C2×D59semidirect
1041. C2×#124C2×D59semidirect
1045. #495C2×D59semidirect
1046. #495C2×D59semidirect
1049. #488C2×D59semidirect
1050. #488C2×D59semidirect
1084. #464C2×D59semidirect
1085. #464C2×D59semidirect
1091. #463C2×D59semidirect
1092. #463C2×D59semidirect
1101. #451C2×D59semidirect
1105. #450C2×D59semidirect
1122. #448C2×D59semidirect
1148. #431C2×D59semidirect
1161. C59#61690semidirect

Maximal subgroups

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

subgroupindex
#214384702
#214378862
#214363482
#214362962
#214361692
#214361392
#214360942
#214360642
#214359972
#214359452
#214358022
#214357802
#214357262
#214357052
#214356872
#214356312
#214355972
#214355822
#214350832
#214349822
#214349662
#214349592
#214349522
#214341992
#214341572
#214334122
#214334012
#214333772
#214333592
#214331712
C59×#32112
#6169059