Finite Group Databasebeta

← #29459501

Subgroups — #29459501

Order 15104.

2194 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437428C211yesmaximal, characteristic, complemented
2#537×D59C211yesmaximal, characteristic, complemented
3#21435006C211yesmaximal, characteristic, complemented
4#21435004C211yesmaximal, characteristic, complemented
5#21435003C211yesmaximal, characteristic, complemented
6#21435001C211yesmaximal, characteristic, complemented
7#21435000C211yesmaximal, characteristic, complemented
8#21434999C211yesmaximal, characteristic, complemented
9#21434997C211yesmaximal, characteristic, complemented
10#21434994C211yesmaximal, characteristic, complemented
11#21434982C211yesmaximal, characteristic, complemented
12#21434978C211yesmaximal, characteristic, complemented
13#21434974C211yesmaximal, characteristic, complemented
14#21434954C211yesmaximal, characteristic, complemented
15#21434950C211yesmaximal, characteristic, complemented
16#21434946C211yesmaximal, characteristic, complemented
17#21434942C211yesmaximal, characteristic, complemented
18#21434043C211yesmaximal, characteristic, complemented
19#21434035C211yesmaximal, characteristic, complemented
20#21434023C211yesmaximal, characteristic, complemented
21#21434020C211yesmaximal, characteristic, complemented
22#21433725C211yesmaximal, characteristic, complemented
23#21433723C211yesmaximal, characteristic, complemented
24#21433710C211yesmaximal, characteristic, complemented
25#21433708C211yesmaximal, characteristic, complemented
26#21433355C211yesmaximal, characteristic, complemented
27#21433347C211yesmaximal, characteristic, complemented
28#21433339C211yesmaximal, characteristic, complemented
29#21433339C211yesmaximal, characteristic, complemented
30#21432538C211yesmaximal, characteristic, complemented
31C59×#3201C211yesmaximal, characteristic, complemented
32C22×#11745689C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#41×D59C2211yescharacteristic, complemented
35C2×#14273759C2211yescharacteristic
36C2×#14273759C2211yescharacteristic
37C2×#14273754C2211yescharacteristic
38C2×#14273754C2211yescharacteristic
39C22×#11745659C2211yescharacteristic, complemented
40C2×M16×D59C2211yescharacteristic, complemented
41#16837983C2211yescharacteristic, complemented
42#16837982—21no—
43#16837982C2211yescharacteristic
44#16837982C2211yescharacteristic, complemented
45#16837982C2211yescharacteristic, complemented
46#16837982C2211yescharacteristic, complemented
47#16837982C2211yescharacteristic, complemented
48#16837982C2211yescharacteristic, complemented
49#16837981—21no—
50#16837981C2211yescharacteristic
51#16837981C2211yescharacteristic, complemented
52#16837980C2211yescharacteristic
53#16837980C2211yescharacteristic, complemented
54#16837979—21no—
55#16837979—21no—
56#16837977—21no—
57#16837976C2211yescharacteristic, complemented
58#16837971C2211yescharacteristic, complemented
59#16837970—21no—
60#16837966C2211yescharacteristic, complemented
61#16837963—21no—
62#16837963—21no—
63#16837953—21no—
64#16837951—21no—
65#16837915C2211yescharacteristic
66#16837915C2211yescharacteristic
67#16837915C2211yescharacteristic
68#16837915C2211yescharacteristic
69#16837910—21no—
70#16837910—21no—
71C22⋊Q8×D59—21no—
72C22⋊Q8×D59C2211yescharacteristic
73C22⋊Q8×D59C2211yescharacteristic, complemented
74#121×D59—21no—
75#121×D59—21no—
76#121×D59—21no—
77#121×D59C2211yescharacteristic
78#121×D59C2211yescharacteristic, complemented
79#117×D59C2211yescharacteristic
80C2×C4⋊C4×D59C2211yescharacteristic, complemented
81#16837744C2211yescharacteristic, complemented
82#16837743C2211yescharacteristic, complemented
83#16837740C2211yescharacteristic, complemented
84#16837739C2211yescharacteristic, complemented
85#16837736C2211yescharacteristic, complemented
86#16837736C2211yescharacteristic, complemented
87#16837736C2211yescharacteristic, complemented
88#16837735C2211yescharacteristic, complemented
89#16837734C2211yescharacteristic, complemented
90#16837731C2211yescharacteristic, complemented
91#16837731C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837730C2211yescharacteristic, complemented
94#16837727C2211yescharacteristic, complemented
95#16837726C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic, complemented
98#16837722C2211yescharacteristic, complemented
99#16837722C2211yescharacteristic, complemented
100#16837721C2211yescharacteristic, complemented
101#16837720C2211yescharacteristic, complemented
102#16837719C2211yescharacteristic, complemented
103#16837717C2211yescharacteristic, complemented
104#16837717C2211yescharacteristic, complemented
105#16837717C2211yescharacteristic, complemented
106#16837716C2211yescharacteristic, complemented
107#16837715C2211yescharacteristic, complemented
108#16837714C2211yescharacteristic, complemented
109#16837659C2211yescharacteristic, complemented
110#16837658C2211yescharacteristic, complemented
111#16837657C2211yescharacteristic, complemented
112#16837656C2211yescharacteristic, complemented
113#16837655C2211yescharacteristic, complemented
114#16837654C2211yescharacteristic, complemented
115#16837653C2211yescharacteristic, complemented
116#16837651C2211yescharacteristic, complemented
117#16837651C2211yescharacteristic, complemented
118#16837650C2211yescharacteristic, complemented
119#16837650C2211yescharacteristic, complemented
120#16837649C2211yescharacteristic, complemented
121#16837648C2211yescharacteristic, complemented
122#16837645C2211yescharacteristic, complemented
123#16837642C2211yescharacteristic, complemented
124#16837641C2211yescharacteristic, complemented
125#16837640C2211yescharacteristic, complemented
126#16837639C2211yescharacteristic, complemented
127#16837638C2211yescharacteristic, complemented
128#16837637C2211yescharacteristic, complemented
129#16837636C2211yescharacteristic, complemented
130#16837634C2211yescharacteristic, complemented
131#16837634C2211yescharacteristic, complemented
132#16837633C2211yescharacteristic, complemented
133#16837633C2211yescharacteristic, complemented
134#16837632C2211yescharacteristic, complemented
135#16837631C2211yescharacteristic, complemented
136#16837628C2211yescharacteristic, complemented
137#16837567C2211yescharacteristic, complemented
138#16837567C2211yescharacteristic, complemented
139#16837563C2211yescharacteristic, complemented
140#16837563C2211yescharacteristic, complemented
141#16837563C2211yescharacteristic, complemented
142#16837563C2211yescharacteristic, complemented
143#16837562C2211yescharacteristic, complemented
144#16837562C2211yescharacteristic, complemented
145#16837561C2211yescharacteristic, complemented
146#16837561C2211yescharacteristic, complemented
147#16837558C2211yescharacteristic, complemented
148#16837555C2211yescharacteristic, complemented
149#16837552C2211yescharacteristic, complemented
150#16837550C2211yescharacteristic, complemented
151#16837550C2211yescharacteristic, complemented
152#16837550C2211yescharacteristic, complemented
153#16837550C2211yescharacteristic, complemented
154#16837549C2211yescharacteristic, complemented
155#16837549C2211yescharacteristic, complemented
156#16837548C2211yescharacteristic, complemented
157#16837548C2211yescharacteristic, complemented
158#16837547C2211yescharacteristic, complemented
159#16837547C2211yescharacteristic, complemented
160#16837546C2211yescharacteristic, complemented
161#16837546C2211yescharacteristic, complemented
162#16837541C2211yescharacteristic, complemented
163#16837538C2211yescharacteristic, complemented
164#16837535C2211yescharacteristic, complemented
165#16837443C2211yescharacteristic, complemented
166#16837443C2211yescharacteristic, complemented
167#16837441C2211yescharacteristic, complemented
168#16837441C2211yescharacteristic, complemented
169#16837409C2211yescharacteristic, complemented
170#16837409C2211yescharacteristic, complemented
171#16837405C2211yescharacteristic, complemented
172#16837405C2211yescharacteristic, complemented
173#16837402C2211yescharacteristic
174#16837402C2211yescharacteristic
175#16837402C2211yescharacteristic
176#16837402C2211yescharacteristic
177#16837370C2211yescharacteristic, complemented
178#16837369C2211yescharacteristic, complemented
179#16837368C2211yescharacteristic, complemented
180#16837367C2211yescharacteristic, complemented
181#16837367C2211yescharacteristic, complemented
182#16837367C2211yescharacteristic, complemented
183#16837367C2211yescharacteristic, complemented
184#16837364C2211yescharacteristic
185#16837364C2211yescharacteristic
186#16837364C2211yescharacteristic, complemented
187#16837364C2211yescharacteristic, complemented
188C59×#537C2211yescharacteristic
189C59×#536C2211yescharacteristic, complemented
190C59×#485C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#483C2211yescharacteristic, complemented
193C59×#482C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#467C2211yescharacteristic, complemented
197C59×#465C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#452C2211yescharacteristic, complemented
200C59×#451C2211yescharacteristic, complemented
201C59×#448C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689—21no—
205C2×#11745689—42no—
206C2×#11745689—42no—
207C2×#11745689D411yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745689C2311yescharacteristic
213C2×#11745685—21no—
214C2×#11745685C2311yescharacteristic
215C2×#11745685C2311yescharacteristic
216C2×#11745685C2311yescharacteristic
217C2×#11745685C2311yescharacteristic
218C2×#11745687—21no—
219C2×#11745687D411yescharacteristic
220C2×#11745687D411yescharacteristic
221C2×#11745687D411yescharacteristic
222C2×#11745687C2311yescharacteristic
223#41×D59—42no—
224#41×D59—42no—
225#41×D59—42no—
226#41×D59—42no—
227C2×Q8×D59D411yescharacteristic
228C2×Q8×D59C2311yescharacteristic
229C22×D236—21no—
230C22×D236C2311yescharacteristic
231C2×D4×D59—21no—
232C2×D4×D59—21no—
233C2×D4×D59—21no—
234C2×D4×D59D411yescharacteristic
235C2×D4×D59D411yescharacteristic
236C2×D4×D59D411yescharacteristic
237C2×D4×D59C2311yescharacteristic
238C22×C4×D59—21no—
239C22×C4×D59—21no—
240C22×C4×D59—21no—
241C22×C4×D59C2311yescharacteristic
242C22×C4×D59C2311yescharacteristic
243C22×C4×D59C2311yescharacteristic
244#14273759—42no—
245#14273759—42no—
246#14273754—42no—
247#14273754—42no—
248C2×#11745672C2311yescharacteristic
249C2×#11745672C2311yescharacteristic
250C2×#11745660C2311yescharacteristic
251C2×#11745660C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253C2×#11745671C2311yescharacteristic
254C2×#11745671C2311yescharacteristic
255C2×#11745671C2311yescharacteristic
256C2×D472C2311yescharacteristic
257C2×D472C2311yescharacteristic
258C2×#11745669C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745664C2311yescharacteristic
261C2×#11745659—42no—
262C2×#11745659C2311yescharacteristic
263C2×#11745659C2311yescharacteristic
264C2×#11745659C2311yescharacteristic
265C2×#11745659C2311yescharacteristic
266C2×#11745659C2311yescharacteristic
267C2×#11745659C2311yescharacteristic
268M16×D59—42no—
269C22×C59⋊C8C2311yescharacteristic
270C2×C8×D59C2311yescharacteristic
271C2×C8×D59C2311yescharacteristic
272#14273725—21no—
273#14273724—21no—
274#14273723—21no—
275#14273716—21no—
276#14273716—21no—
277#14273715—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273710—21no—
283#14273710—21no—
284#14273707—21no—
285#14273707C2311yescharacteristic
286#14273707C2311yescharacteristic
287#14273706—21no—
288#14273706C2311yescharacteristic
289#14273706C2311yescharacteristic
290#14273705—21no—
291#14273705—21no—
292#14273705—21no—
293#14273705—21no—
294#14273705—21no—
295#14273705—21no—
296#14273705—21no—
297#14273705—21no—
298#14273704—21no—
299#14273704—21no—
300#14273704—21no—
301#14273704—21no—
302#14273703—21no—
303#14273703C2311yescharacteristic
304#14273703C2311yescharacteristic
305#14273703C2311yescharacteristic
306#14273703C2311yescharacteristic
307#14273703C2311yescharacteristic
308#14273703C2311yescharacteristic
309#14273702—21no—
310#14273702—21no—
311#14273702—21no—
312#14273702—21no—
313#14273702—21no—
314#14273702—21no—
315#14273702—21no—
316#14273702C2311yescharacteristic
317#14273702C2311yescharacteristic
318#14273702C2311yescharacteristic
319#14273702C2311yescharacteristic
320#14273702C2311yescharacteristic
321#14273702C2311yescharacteristic
322#14273701—21no—
323#14273701—21no—
324#14273701—21no—
325#14273701C2311yescharacteristic
326#14273701C2311yescharacteristic
327#14273701C2311yescharacteristic
328#14273701C2311yescharacteristic
329#14273701C2311yescharacteristic
330#14273701C2311yescharacteristic
331#14273700—21no—
332#14273700—21no—
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#14273699—21no—
348#14273699—21no—
349#14273699—21no—
350#14273699—21no—
351#14273699—21no—
352#14273699—21no—
353#14273699—21no—
354#14273699—21no—
355#14273698—21no—
356#14273698—21no—
357#14273698—21no—
358#14273698C2311yescharacteristic
359#14273698C2311yescharacteristic
360#14273697—21no—
361#14273697—21no—
362#14273697—21no—
363#14273697—21no—
364#14273697—21no—
365#14273697—21no—
366#14273695—21no—
367#14273695—21no—
368#14273689—21no—
369#14273689—21no—
370#14273689—21no—
371#14273689—21no—
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376#14273686C2311yescharacteristic
377#14273685C2311yescharacteristic
378#14273685C2311yescharacteristic
379#14273684—21no—
380#14273683—21no—
381C2×C4⋊Dic59C2311yescharacteristic
382C2×Dic59⋊C4—21no—
383C4⋊C4×D59—21no—
384C4⋊C4×D59—21no—
385C4⋊C4×D59—21no—
386C4⋊C4×D59—21no—
387C4⋊C4×D59C2311yescharacteristic
388C4⋊C4×D59C2311yescharacteristic
389C4⋊C4×D59C2311yescharacteristic
390C4⋊C4×D59C2311yescharacteristic
391C4⋊C4×D59C2311yescharacteristic
392C4⋊C4×D59C2311yescharacteristic
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C22⋊C4×D59—21no—
396C22⋊C4×D59—21no—
397C22⋊C4×D59—21no—
398C42×D59—21no—
399#14273661C2311yescharacteristic
400#14273661C2311yescharacteristic
401#14273660C2311yescharacteristic
402#14273660C2311yescharacteristic
403#14273660C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273659C2311yescharacteristic
406#14273659C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409#14273658C2311yescharacteristic
410#14273658C2311yescharacteristic
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#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437C22⋊(C59⋊C8)C2311yescharacteristic
438C22⋊(C59⋊C8)C2311yescharacteristic
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(C2×D59)⋊C8C2311yescharacteristic
446(C2×D59)⋊C8C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C22×Q8×C59C2311yescharacteristic
450C2×Q16×C59C2311yescharacteristic
451C2×Q16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456C4⋊Q8×C59—21no—
457#124×C59—21no—
458#123×C59—21no—
459#123×C59—21no—
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463C22⋊Q8×C59C2311yescharacteristic
464C22⋊Q8×C59C2311yescharacteristic
465C22⋊Q8×C59C2311yescharacteristic
466C22⋊Q8×C59C2311yescharacteristic
467#121×C59—21no—
468#121×C59—21no—
469#121×C59—21no—
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#117×C59C2311yescharacteristic
473C2×C4⋊C4×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#107×C59C2311yescharacteristic
476#106×C59C2311yescharacteristic
477#106×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59C2×D411yescharacteristic
493C23×D59C2×D411yescharacteristic
494C23×D59C2×D411yescharacteristic
495#41×C59—41no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499C2×Q8×C59—21no—
500C2×Q8×C59—41no—
501C2×Q8×C59—41no—
502C2×Q8×C59C2×D411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×Q8×C59C2411yescharacteristic
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59C2×D411yescharacteristic
510C2×D4×C59C2×D411yescharacteristic
511C2×D4×C59C2×D411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59C2411yescharacteristic
517C22×C4×C59C2411yescharacteristic
518C22×C4×C59C2411yescharacteristic
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—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59C2×D411yescharacteristic
531C2×C22⋊D59C2×D411yescharacteristic
532C2×C22⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59C2×D411yescharacteristic
539C22×Dic59C2×D411yescharacteristic
540C22×Dic59C2×D411yescharacteristic
541#11745689—22no—
542#11745689—22no—
543#11745689—22no—
544#11745689—22no—
545#11745689—42no—
546#11745689—41no—
547#11745689—41no—
548#11745689—41no—
549#11745689—41no—
550#11745689—41no—
551#11745689—41no—
552#11745689—44no—
553#11745689—44no—
554Q8×D59—22no—
555Q8×D59—22no—
556Q8×D59—42no—
557#11745687—41no—
558#11745687—41no—
559#11745687—42no—
560#11745687—42no—
561#11745687—42no—
562#11745687—44no—
563D4×D59—22no—
564D4×D59—22no—
565D4×D59—42no—
566D4×D59—42no—
567D4×D59—42no—
568D4×D59—44no—
569D4×D59—82no—
570D4×D59—82no—
571#11745685—41no—
572#11745685—41no—
573#11745685—41no—
574#11745685—41no—
575#11745685—41no—
576#11745685—41no—
577#11745685—41no—
578#11745685—41no—
579#11745685—44no—
580C2×D236—21no—
581C2×D236—21no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236—21no—
586C2×D236—21no—
587C2×D236—21no—
588C2×D236—21no—
589C2×D236—21no—
590C2×D236—21no—
591C2×D236—21no—
592C2×D236—41no—
593C2×D236—41no—
594C2×D236—44no—
595C2×D236C2×D411yescharacteristic
596C2×D236C2×D411yescharacteristic
597C2×D236C2×D411yescharacteristic
598C2×D236C2411yescharacteristic
599C2×D236C2411yescharacteristic
600C2×D236C2411yescharacteristic
601C2×C4×D59—22no—
602C2×C4×D59—22no—
603C2×C4×D59—22no—
604C2×C4×D59—22no—
605C2×C4×D59—22no—
606C2×C4×D59—22no—
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—21no—
610C2×C4×D59—21no—
611C2×C4×D59—21no—
612C2×C4×D59—21no—
613C2×C4×D59—21no—
614C2×C4×D59—21no—
615C2×C4×D59—21no—
616C2×C4×D59—21no—
617C2×C4×D59—21no—
618C2×C4×D59—21no—
619C2×C4×D59—21no—
620C2×C4×D59—44no—
621C2×C4×D59—44no—
622C2×C4×D59—82no—
623C2×C4×D59C2×D411yescharacteristic
624C2×C4×D59C2×D411yescharacteristic
625C2×C4×D59C2×D411yescharacteristic
626C2×C4×D59C2×D411yescharacteristic
627C2×C4×D59C2×D411yescharacteristic
628C2×C4×D59C2×D411yescharacteristic
629C2×C4×D59C2411yescharacteristic
630C2×C4×D59C2411yescharacteristic
631C2×C4×D59C2411yescharacteristic
632C2×C4×D59C2411yescharacteristic
633C2×Dic118—21no—
634C2×Dic118C2×D411yescharacteristic
635C2×Dic118C2×D411yescharacteristic
636C2×Dic118C2×D411yescharacteristic
637C2×Dic118C2411yescharacteristic
638Q16×C59—41no—
639Q16×C59—41no—
640SD16×C59—41no—
641SD16×C59—41no—
642M16×C59—41no—
643C2×C8×C59—41no—
644C2×C8×C59C2411yescharacteristic
645C2×C8×C59C2411yescharacteristic
646C2×C8×C59C2411yescharacteristic
647C2×C8×C59C2411yescharacteristic
648C4⋊C4×C59—21no—
649C4⋊C4×C59—21no—
650C4⋊C4×C59—21no—
651C4⋊C4×C59—21no—
652C4⋊C4×C59—21no—
653C4⋊C4×C59—21no—
654C4⋊C4×C59—21no—
655C4⋊C4×C59C2411yescharacteristic
656C4⋊C4×C59C2411yescharacteristic
657C4⋊C4×C59C2411yescharacteristic
658C4⋊C4×C59C2411yescharacteristic
659C22⋊C4×C59—21no—
660C22⋊C4×C59—21no—
661C22⋊C4×C59—21no—
662C22⋊C4×C59—21no—
663C22⋊C4×C59—21no—
664C22⋊C4×C59—21no—
665C22⋊C4×C59—21no—
666C22⋊C4×C59—21no—
667C22⋊C4×C59—21no—
668C42×C59—21no—
669C22⋊Dic59—21no—
670C22⋊Dic59—21no—
671C22⋊Dic59—21no—
672C22⋊Dic59—21no—
673C22⋊Dic59—21no—
674#11745672—41no—
675#11745672—41no—
676#11745671—41no—
677#11745671—41no—
678#11745671—41no—
679#11745671—41no—
680#11745669—41no—
681#11745669—41no—
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)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4—21no—
698(C2×D59)⋊C4—21no—
699(C2×D59)⋊C4—21no—
700(C2×D59)⋊C4—21no—
701(C2×D59)⋊C4—21no—
702(C2×D59)⋊C4—21no—
703(C2×D59)⋊C4—21no—
704C4⋊Dic59—21no—
705C4⋊Dic59—21no—
706C4⋊Dic59—21no—
707C4⋊Dic59C2411yescharacteristic
708C4⋊Dic59C2411yescharacteristic
709C4⋊Dic59C2411yescharacteristic
710C4⋊Dic59C2411yescharacteristic
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—21no—
719Dic59⋊C4—21no—
720Dic59⋊C4—21no—
721Dic59⋊C4—21no—
722Dic59⋊C4—21no—
723Dic59⋊C4—21no—
724Dic59⋊C4—21no—
725C4×Dic59—21no—
726C4×Dic59—21no—
727C4×Dic59—21no—
728#11745664—41no—
729C2×C59⋊C8—41no—
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733C2×C59⋊C8C2411yescharacteristic
734D472—41no—
735D472—41no—
736#11745660—41no—
737#11745660—41no—
738#11745659—22no—
739#11745659—22no—
740#11745659—22no—
741#11745659—22no—
742#11745659—41no—
743#11745659—41no—
744C8×D59—41no—
745C8×D59—41no—
746C23×C59—21no—
747C23×C59C22×D411yescharacteristic
748C23×C59C22×D411yescharacteristic
749C23×C59C22×D411yescharacteristic
750C22×D59—22no—
751C22×D59—22no—
752C22×D59—22no—
753C22×D59—21no—
754C22×D59—21no—
755C22×D59—21no—
756C22×D59—41no—
757C22×D59—41no—
758C22×D59—41no—
759C22×D59—41no—
760C22×D59—41no—
761C22×D59—41no—
762C22×D59—42no—
763C22×D59—42no—
764C22×D59—42no—
765C22×D59—42no—
766C22×D59—81no—
767C22×D59—81no—
768C22×D59C22×D411yescharacteristic
769C22×D59C22×D411yescharacteristic
770C22×D59C22×D411yescharacteristic
771C22×D59C22×D411yescharacteristic
772Q8×C59—21no—
773Q8×C59—21no—
774Q8×C59—21no—
775Q8×C59—21no—
776Q8×C59—21no—
777Q8×C59—21no—
778Q8×C59—41no—
779Q8×C59—42no—
780D4×C59—21no—
781D4×C59—21no—
782D4×C59—41no—
783D4×C59—41no—
784D4×C59—41no—
785D4×C59—42no—
786D4×C59—81no—
787D4×C59—81no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—42no—
802C2×C4×C59—42no—
803C2×C4×C59—81no—
804C2×C4×C59C22×D411yescharacteristic
805C2×C4×C59C22×D411yescharacteristic
806C2×C4×C59C22×D411yescharacteristic
807C2×C4×C59C2511yescharacteristic
808C22⋊D59—41no—
809C22⋊D59—41no—
810C22⋊D59—41no—
811C22⋊D59—41no—
812C22⋊D59—41no—
813C22⋊D59—41no—
814C22⋊D59—42no—
815C22⋊D59—42no—
816C22⋊D59—42no—
817C22⋊D59—81no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C22⋊D59—81no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C22⋊D59—81no—
825C2×Dic59—22no—
826C2×Dic59—22no—
827C2×Dic59—22no—
828C2×Dic59—21no—
829C2×Dic59—21no—
830C2×Dic59—21no—
831C2×Dic59—21no—
832C2×Dic59—21no—
833C2×Dic59—42no—
834C2×Dic59—81no—
835C2×Dic59C22×D411yescharacteristic
836C2×Dic59C22×D411yescharacteristic
837C2×Dic59C22×D411yescharacteristic
838C2×Dic59C22×D411yescharacteristic
839D236—21no—
840D236—21no—
841D236—21no—
842D236—21no—
843D236—21no—
844D236—21no—
845D236—41no—
846D236—41no—
847D236—41no—
848D236—42no—
849D236—42no—
850D236—42no—
851D236—42no—
852D236—42no—
853D236—42no—
854D236—81no—
855D236—81no—
856D236—81no—
857D236—81no—
858D236—81no—
859D236—81no—
860C4×D59—22no—
861C4×D59—22no—
862C4×D59—22no—
863C4×D59—21no—
864C4×D59—21no—
865C4×D59—21no—
866C4×D59—21no—
867C4×D59—21no—
868C4×D59—21no—
869C4×D59—22no—
870C4×D59—22no—
871C4×D59—22no—
872C4×D59—42no—
873C4×D59—42no—
874C4×D59—42no—
875C4×D59—42no—
876C4×D59—42no—
877C4×D59—42no—
878C4×D59—42no—
879C4×D59—42no—
880C4×D59—42no—
881C4×D59—81no—
882C4×D59—81no—
883C4×D59—81no—
884C4×D59—81no—
885C4×D59H(5,𝔽2)12yes—
886C4×D59H(5,𝔽2)12yes—
887Dic118—21no—
888Dic118—21no—
889Dic118—41no—
890Dic118—41no—
891Dic118—41no—
892Dic118—42no—
893C8×C59—21no—
894C8×C59—21no—
895C8×C59—21no—
896C8×C59—21no—
897C59⋊C8—21no—
898C59⋊C8—21no—
899C59⋊C8—21no—
900C59⋊C8—21no—
901#60755—591nomaximal, Sylow
902C22×C59—21no—
903C22×C59—21no—
904C22×C59—21no—
905C22×C59—21no—
906C22×C59—21no—
907C22×C59—21no—
908C22×C59—21no—
909C22×C59—21no—
910C22×C59—21no—
911C22×C59—41no—
912C22×C59—41no—
913C22×C59—41no—
914C22×C59C23×D411yescharacteristic
915C2×D59—21no—
916C2×D59—21no—
917C2×D59—21no—
918C2×D59—21no—
919C2×D59—21no—
920C2×D59—21no—
921C2×D59—21no—
922C2×D59—21no—
923C2×D59—21no—
924C2×D59—21no—
925C2×D59—21no—
926C2×D59—44no—
927C2×D59—41no—
928C2×D59—41no—
929C2×D59—41no—
930C2×D59—41no—
931C2×D59—41no—
932C2×D59—41no—
933C2×D59—41no—
934C2×D59—41no—
935C2×D59—41no—
936C2×D59—82no—
937C2×D59—82no—
938C2×D59—84no—
939C2×D59—84no—
940C2×D59#53412yes—
941C4×C59—21no—
942C4×C59—21no—
943C4×C59—21no—
944C4×C59—41no—
945C4×C59—41no—
946C4×C59—41no—
947C4×C59—41no—
948C4×C59—41no—
949C4×C59—41no—
950C4×C59—41no—
951C4×C59C2×H(5,𝔽2)11yescharacteristic
952C4×C59C2×H(5,𝔽2)11yescharacteristic
953Dic59—21no—
954Dic59—21no—
955Dic59—21no—
956Dic59—41no—
957Dic59—41no—
958Dic59—41no—
959Dic59—41no—
960Dic59—41no—
961Dic59#53412yes—
962#3449—591no—
963C2×#537—591no—
964#3204—591no—
965#3204—591no—
966#3204—591no—
967#3204—591no—
968#3203—591no—
969#3203—591no—
970#3203—591no—
971#3203—591no—
972#3201—591no—
973#3201—591no—
974#3201—591no—
975#3201D5911yescharacteristic, complemented
976#3198—591no—
977#3198—591no—
978#3198—591no—
979#3198—591no—
980#3095—591no—
981#3094—591no—
982#3092—591no—
983#3092—591no—
984#3056—591no—
985#3056—591no—
986#3055—591no—
987#3055—591no—
988#3007—591no—
989#3006—591no—
990#3005—591no—
991#3005—591no—
992#2879—591no—
993C2×C59—41no—
994C2×C59—41no—
995C2×C59—41no—
996C2×C59—81no—
997C2×C59C2×#53411yescharacteristic
998C2×C59#358511yescharacteristic
999C2×C59#358611yescharacteristic
1000D59—22no—
1001D59—41no—
1002D59—41no—
1003D59—41no—
1004D59—81no—
1005D59—81no—
1006D59—81no—
1007C22×#41—591no—
1008C22×#41—591no—
1009C22×#41—591no—
1010C2×#137—591no—
1011C2×#137—591no—
1012C2×AGL(1,ℤ/8)—591no—
1013C2×AGL(1,ℤ/8)—591no—
1014C22×M16—591no—
1015C22×M16—591no—
1016#537—591no—
1017#537—591no—
1018#537—591no—
1019#537—591no—
1020#537—591no—
1021#537—591no—
1022#537—591no—
1023#537—591no—
1024#537—591no—
1025#537—591no—
1026#537—591no—
1027#537—1181no—
1028#537—1181no—
1029#537—1181no—
1030#537—1181no—
1031#537C2×D5911yescharacteristic
1032#536—591no—
1033#536—1181no—
1034#536C2×D5911yescharacteristic, complemented
1035#535—591no—
1036#535—591no—
1037#535—1181no—
1038#534—1181no—
1039#534—1181no—
1040#532—1181no—
1041#532—1181no—
1042#525—591no—
1043#525—591no—
1044#525—591no—
1045#525—591no—
1046#525—1181no—
1047#525—1181no—
1048C2×C22⋊Q8—591no—
1049C2×C22⋊Q8—591no—
1050C2×C22⋊Q8—1181no—
1051C2×#121—591no—
1052C2×#121—591no—
1053C2×#121—1181no—
1054C2×#121—1181no—
1055C2×#121—1181no—
1056C2×#117—591no—
1057C22×C4⋊C4—591no—
1058#485—591no—
1059#485—591no—
1060#485—591no—
1061#485C2×D5911yescharacteristic, complemented
1062#484—591no—
1063#484—591no—
1064#484—591no—
1065#484—591no—
1066#484—591no—
1067#484C2×D5911yescharacteristic, complemented
1068#483—591no—
1069#483—591no—
1070#483—591no—
1071#483—591no—
1072#483—591no—
1073#483C2×D5911yescharacteristic, complemented
1074#482—591no—
1075#482—591no—
1076#482—591no—
1077#482C2×D5911yescharacteristic, complemented
1078#481—591no—
1079#481—591no—
1080#481—591no—
1081#481—591no—
1082#481—591no—
1083#481—591no—
1084#480—591no—
1085#480—591no—
1086#480—591no—
1087#480—591no—
1088#480—591no—
1089#480—591no—
1090#470—591no—
1091#470—591no—
1092#470—591no—
1093#470C2×D5911yescharacteristic, complemented
1094#469—591no—
1095#469—591no—
1096#469—591no—
1097#469—591no—
1098#468—591no—
1099#468—591no—
1100#468—591no—
1101#468—591no—
1102#468—591no—
1103#468—591no—
1104#468—591no—
1105#468C2×D5911yescharacteristic, complemented
1106#467—591no—
1107#467—591no—
1108#467—591no—
1109#467C2×D5911yescharacteristic, complemented
1110#466—591no—
1111#466—591no—
1112#466—591no—
1113#466—591no—
1114#465—591no—
1115#465—591no—
1116#465—591no—
1117#465—591no—
1118#465—591no—
1119#465—591no—
1120#465—591no—
1121#465C2×D5911yescharacteristic, complemented
1122#452—591no—
1123#452—591no—
1124#452—591no—
1125#452—591no—
1126#452—591no—
1127#452—591no—
1128#452—591no—
1129#452—591no—
1130#452—591no—
1131#452—591no—
1132#452C2×D5911yescharacteristic, complemented
1133#452C2×D5911yescharacteristic, complemented
1134#451—591no—
1135#451C2×D5911yescharacteristic, complemented
1136#450—591no—
1137#450—591no—
1138#449—591no—
1139#449—591no—
1140#449—591no—
1141#449—591no—
1142#449—591no—
1143#449—591no—
1144#449—591no—
1145#449—591no—
1146#449—591no—
1147#449—591no—
1148#449—591no—
1149#449—591no—
1150#448—591no—
1151#448C2×D5911yescharacteristic, complemented
1152#447—591no—
1153#447—591no—
1154#428—591no—
1155#428—591no—
1156#428—591no—
1157#428—591no—
1158#419—591no—
1159#419—591no—
1160#418—591no—
1161#418—591no—
1162#417—591no—
1163#417—591no—
1164#417—591no—
1165#417—591no—
1166#408—591no—
1167#408—591no—
1168#408—591no—
1169#408—591no—
1170#408—591no—
1171#408—591no—
1172#408—591no—
1173#408C2×D5911yescharacteristic, complemented
1174#407—591no—
1175#407—591no—
1176#407—591no—
1177#407—591no—
1178C59#6075511yescharacteristic, complemented, Sylow
1179C2×#41—591no—
1180C2×#41—591no—
1181C2×#41—591no—
1182C2×#41—591no—
1183C2×#41—591no—
1184C2×#41—591no—
1185C2×#41—591no—
1186C2×#41—591no—
1187C2×#41—591no—
1188C2×#41—591no—
1189C2×#41—591no—
1190C2×#41—591no—
1191C2×#41—591no—
1192C2×#41—591no—
1193C2×#41—1181no—
1194C2×#41—1181no—
1195C2×#41—1181no—
1196C2×#41—1181no—
1197C2×#41—2362no—
1198C2×#41—2362no—
1199C2×#41—2362no—
1200C2×#41—2362no—
1201C2×#41—2362no—
1202C2×#41—2362no—
1203C2×#41C22×D5911yescharacteristic
1204C2×#41C22×D5911yescharacteristic
1205C22×Q8—591no—
1206C22×Q8—591no—
1207C22×Q8C22×D5911yescharacteristic
1208C22×D4—591no—
1209C22×D4—591no—
1210C22×D4—591no—
1211C22×D4—591no—
1212C22×D4—591no—
1213C22×D4—1181no—
1214C22×D4—1181no—
1215C22×D4—1181no—
1216C22×D4—1181no—
1217C23×C4—591no—
1218C23×C4—591no—
1219C23×C4—591no—
1220C23×C4—1181no—
1221C23×C4—1181no—
1222C23×C4—1181no—
1223#137—2362no—
1224#137—2362no—
1225AGL(1,ℤ/8)—2362no—
1226AGL(1,ℤ/8)—2362no—
1227C2×Q16—591no—
1228C2×Q16—591no—
1229C2×Q16C22×D5911yescharacteristic
1230C2×Q16C22×D5911yescharacteristic
1231C2×SD16—591no—
1232C2×SD16—591no—
1233C2×SD16—591no—
1234C2×SD16—591no—
1235C2×SD16—591no—
1236C2×SD16—591no—
1237C2×SD16C22×D5911yescharacteristic
1238C2×SD16C22×D5911yescharacteristic
1239C2×D8—591no—
1240C2×D8—591no—
1241C2×D8—591no—
1242C2×D8—591no—
1243C2×M16—591no—
1244C2×M16—591no—
1245C2×M16—591no—
1246C2×M16—591no—
1247C2×M16—591no—
1248C2×M16—591no—
1249C2×M16—591no—
1250C2×M16—2362no—
1251C2×M16—2362no—
1252C2×M16C22×D5911yescharacteristic
1253C22×C8—591no—
1254C22×C8—591no—
1255C22×C8—591no—
1256C22×C8C22×D5911yescharacteristic
1257C4⋊Q8—21no—
1258C4⋊Q8—1181no—
1259#127—1181no—
1260#127—1181no—
1261#124—21no—
1262#124—1181no—
1263#124—1181no—
1264#124—1181no—
1265#123—21no—
1266#123—21no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273C22⋊Q8—21no—
1274C22⋊Q8—591no—
1275C22⋊Q8—591no—
1276C22⋊Q8—591no—
1277C22⋊Q8—591no—
1278C22⋊Q8—591no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—1181no—
1285C22⋊Q8—1181no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8—1181no—
1295C22⋊Q8—1181no—
1296C22⋊Q8—1181no—
1297C22⋊Q8—1181no—
1298C22⋊Q8—1181no—
1299C22⋊Q8C22×D5911yescharacteristic
1300C22⋊Q8C22×D5911yescharacteristic
1301C22⋊Q8C22×D5911yescharacteristic
1302C22⋊Q8C22×D5911yescharacteristic
1303C22⋊Q8C22×D5911yescharacteristic
1304C22⋊Q8C22×D5911yescharacteristic
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
1312#121—591no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
1317#121—591no—
1318#121—591no—
1319#121—591no—
1320#121—591no—
1321#121—591no—
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#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121—1181no—
1347#121—1181no—
1348#121—1181no—
1349#121—1181no—
1350#121—1181no—
1351#121—1181no—
1352#121—1181no—
1353#121—1181no—
1354#121—1181no—
1355#121—1181no—
1356#121—1181no—
1357#121—1181no—
1358#121—1181no—
1359#121C22×D5911yescharacteristic
1360#121C22×D5911yescharacteristic
1361#120—1181no—
1362#120—1181no—
1363#120—1181no—
1364#120—1181no—
1365#120—1181no—
1366#120—1181no—
1367#120—1181no—
1368#120—1181no—
1369C4×D4—1181no—
1370C4×D4—1181no—
1371C4×D4—1181no—
1372C4×D4—1181no—
1373C4×D4—1181no—
1374C4×D4—1181no—
1375C4×D4—1181no—
1376C4×D4—1181no—
1377#117—591no—
1378#117—591no—
1379#117—591no—
1380#117—1181no—
1381#117—1181no—
1382#117C22×D5911yescharacteristic
1383C2×C4⋊C4—591no—
1384C2×C4⋊C4—591no—
1385C2×C4⋊C4—591no—
1386C2×C4⋊C4—591no—
1387C2×C4⋊C4—591no—
1388C2×C4⋊C4—591no—
1389C2×C4⋊C4—591no—
1390C2×C4⋊C4—1181no—
1391C2×C4⋊C4—1181no—
1392C2×C4⋊C4—1181no—
1393C2×C4⋊C4—1181no—
1394C2×C4⋊C4—1181no—
1395C2×C4⋊C4C22×D5911yescharacteristic
1396C2×C22⋊C4—1181no—
1397C2×C22⋊C4—1181no—
1398C2×C22⋊C4—1181no—
1399C2×C22⋊C4—1181no—
1400C2×C22⋊C4—1181no—
1401C2×C42—1181no—
1402#107—591no—
1403#107—591no—
1404#107—591no—
1405#107—591no—
1406#107—591no—
1407#107—591no—
1408#107C22×D5911yescharacteristic
1409#107C22×D5911yescharacteristic
1410#106—591no—
1411#106—591no—
1412#106—591no—
1413#106—591no—
1414#106—591no—
1415#106—591no—
1416#106C22×D5911yescharacteristic
1417#106C22×D5911yescharacteristic
1418#103—591no—
1419#103—591no—
1420#103—591no—
1421#103—591no—
1422#103—591no—
1423#103—591no—
1424#103—591no—
1425#103—591no—
1426#103—591no—
1427#103—591no—
1428#103C22×D5911yescharacteristic
1429#103C22×D5911yescharacteristic
1430#103C22×D5911yescharacteristic
1431#103C22×D5911yescharacteristic
1432#103C22×D5911yescharacteristic
1433#103C22×D5911yescharacteristic
1434#102—591no—
1435#102—591no—
1436#102—591no—
1437#102—591no—
1438#102—591no—
1439#102—591no—
1440#102—591no—
1441#102—591no—
1442#102—591no—
1443#102—591no—
1444#102—591no—
1445#102—591no—
1446#102—591no—
1447#102—591no—
1448#102C22×D5911yescharacteristic
1449#102C22×D5911yescharacteristic
1450C22⋊C8—591no—
1451C22⋊C8—591no—
1452C22⋊C8—591no—
1453C22⋊C8—591no—
1454C22⋊C8—591no—
1455C22⋊C8—591no—
1456C22⋊C8—591no—
1457C22⋊C8—591no—
1458C22⋊C8—591no—
1459C22⋊C8—591no—
1460C22⋊C8—591no—
1461C22⋊C8—591no—
1462C22⋊C8C22×D5911yescharacteristic
1463C22⋊C8C22×D5911yescharacteristic
1464C22⋊C8C22×D5911yescharacteristic
1465C22⋊C8C22×D5911yescharacteristic
1466C24—591no—
1467C24—591no—
1468C24—591no—
1469C24—1181no—
1470C24—1181no—
1471#41—41no—
1472#41—41no—
1473#41—41no—
1474#41—41no—
1475#41—1182no—
1476#41—1182no—
1477#41—1182no—
1478#41—1182no—
1479#41—2361no—
1480#41—2361no—
1481#41—2361no—
1482#41—2361no—
1483#41—2361no—
1484#41—2361no—
1485#41—2361no—
1486#41—2361no—
1487#41—2364no—
1488#41—2362no—
1489#41—2362no—
1490#41—2362no—
1491#41—2362no—
1492#41—2361no—
1493#41—2361no—
1494#41—2364no—
1495#41—2361no—
1496#41—2361no—
1497#41—2361no—
1498#41—2361no—
1499#41—2361no—
1500#41—2361no—
1501#41—2364no—
1502#41—2364no—
1503C2×Q8—21no—
1504C2×Q8—41no—
1505C2×Q8—41no—
1506C2×Q8—591no—
1507C2×Q8—591no—
1508C2×Q8—591no—
1509C2×Q8—591no—
1510C2×Q8—1181no—
1511C2×Q8—1182no—
1512C2×Q8—1182no—
1513C2×Q8—2362no—
1514C2×Q8D4×D5911yescharacteristic
1515C2×Q8C23×D5911yescharacteristic
1516C2×Q8C23×D5911yescharacteristic
1517C2×Q8C23×D5911yescharacteristic
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—591no—
1522C2×D4—591no—
1523C2×D4—591no—
1524C2×D4—591no—
1525C2×D4—591no—
1526C2×D4—591no—
1527C2×D4—591no—
1528C2×D4—591no—
1529C2×D4—591no—
1530C2×D4—591no—
1531C2×D4—591no—
1532C2×D4—591no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1181no—
1541C2×D4—1181no—
1542C2×D4—1181no—
1543C2×D4—1181no—
1544C2×D4—1182no—
1545C2×D4—1182no—
1546C2×D4—1181no—
1547C2×D4—1181no—
1548C2×D4—1181no—
1549C2×D4—1181no—
1550C2×D4—1181no—
1551C2×D4—1181no—
1552C2×D4—1181no—
1553C2×D4—1181no—
1554C2×D4—1181no—
1555C2×D4—1181no—
1556C2×D4—1181no—
1557C2×D4—1181no—
1558C2×D4—4722no—
1559C2×D4—4722no—
1560C2×D4—2361no—
1561C2×D4—2361no—
1562C2×D4—2364no—
1563C2×D4—2362no—
1564C2×D4—2362no—
1565C2×D4—2362no—
1566C2×D4—2364no—
1567C2×D4D4×D5911yescharacteristic
1568C2×D4D4×D5911yescharacteristic
1569C2×D4D4×D5911yescharacteristic
1570C2×D4C23×D5911yescharacteristic
1571C22×C4—21no—
1572C22×C4—21no—
1573C22×C4—21no—
1574C22×C4—591no—
1575C22×C4—591no—
1576C22×C4—591no—
1577C22×C4—591no—
1578C22×C4—591no—
1579C22×C4—591no—
1580C22×C4—591no—
1581C22×C4—591no—
1582C22×C4—591no—
1583C22×C4—591no—
1584C22×C4—591no—
1585C22×C4—591no—
1586C22×C4—591no—
1587C22×C4—1182no—
1588C22×C4—1182no—
1589C22×C4—1182no—
1590C22×C4—1182no—
1591C22×C4—1182no—
1592C22×C4—1182no—
1593C22×C4—1181no—
1594C22×C4—1181no—
1595C22×C4—1181no—
1596C22×C4—1181no—
1597C22×C4—1181no—
1598C22×C4—1181no—
1599C22×C4—1181no—
1600C22×C4—1181no—
1601C22×C4—1181no—
1602C22×C4—1181no—
1603C22×C4—1181no—
1604C22×C4—1181no—
1605C22×C4—1181no—
1606C22×C4—1181no—
1607C22×C4—1181no—
1608C22×C4—4722no—
1609C22×C4—2364no—
1610C22×C4—2364no—
1611C22×C4C23×D5911yescharacteristic
1612C22×C4C23×D5911yescharacteristic
1613C22×C4C23×D5911yescharacteristic
1614Q16—41no—
1615Q16—41no—
1616Q16—2361no—
1617Q16—2361no—
1618SD16—41no—
1619SD16—41no—
1620SD16—2361no—
1621SD16—2361no—
1622SD16—2361no—
1623SD16—2361no—
1624SD16—2361no—
1625SD16—2361no—
1626D8—2361no—
1627D8—2361no—
1628D8—2361no—
1629D8—2361no—
1630M16—41no—
1631M16—1182no—
1632M16—1182no—
1633M16—1182no—
1634M16—1182no—
1635M16—2361no—
1636M16—2361no—
1637M16—2361no—
1638C2×C8—41no—
1639C2×C8—591no—
1640C2×C8—591no—
1641C2×C8—591no—
1642C2×C8—591no—
1643C2×C8—2361no—
1644C2×C8—2361no—
1645C2×C8—2361no—
1646C2×C8C23×D5911yescharacteristic
1647C2×C8C23×D5911yescharacteristic
1648C2×C8C23×D5911yescharacteristic
1649C2×C8C23×D5911yescharacteristic
1650C4⋊C4—21no—
1651C4⋊C4—21no—
1652C4⋊C4—21no—
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4—21no—
1656C4⋊C4—21no—
1657C4⋊C4—591no—
1658C4⋊C4—591no—
1659C4⋊C4—591no—
1660C4⋊C4—591no—
1661C4⋊C4—1181no—
1662C4⋊C4—1181no—
1663C4⋊C4—1181no—
1664C4⋊C4—1181no—
1665C4⋊C4—1181no—
1666C4⋊C4—1181no—
1667C4⋊C4—1181no—
1668C4⋊C4—1181no—
1669C4⋊C4—1181no—
1670C4⋊C4—1181no—
1671C4⋊C4—1181no—
1672C4⋊C4—1181no—
1673C4⋊C4—1181no—
1674C4⋊C4—1181no—
1675C4⋊C4—1181no—
1676C4⋊C4—1181no—
1677C4⋊C4—1181no—
1678C4⋊C4C23×D5911yescharacteristic
1679C4⋊C4C23×D5911yescharacteristic
1680C4⋊C4C23×D5911yescharacteristic
1681C4⋊C4C23×D5911yescharacteristic
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—1181no—
1692C22⋊C4—1181no—
1693C22⋊C4—1181no—
1694C22⋊C4—1181no—
1695C22⋊C4—1181no—
1696C22⋊C4—1181no—
1697C22⋊C4—1181no—
1698C22⋊C4—1181no—
1699C22⋊C4—1181no—
1700C22⋊C4—1181no—
1701C22⋊C4—1181no—
1702C22⋊C4—1181no—
1703C22⋊C4—1181no—
1704C22⋊C4—1181no—
1705C22⋊C4—1181no—
1706C22⋊C4—1181no—
1707C22⋊C4—1181no—
1708C22⋊C4—1181no—
1709C22⋊C4—1181no—
1710C22⋊C4—1181no—
1711C22⋊C4—1181no—
1712C22⋊C4—1181no—
1713C22⋊C4—1181no—
1714C22⋊C4—1181no—
1715C22⋊C4—1181no—
1716C22⋊C4—1181no—
1717C22⋊C4—1181no—
1718C42—21no—
1719C42—1181no—
1720C42—1181no—
1721C42—1181no—
1722C23—21no—
1723C23—591no—
1724C23—591no—
1725C23—591no—
1726C23—591no—
1727C23—1182no—
1728C23—1182no—
1729C23—1182no—
1730C23—1181no—
1731C23—1181no—
1732C23—1181no—
1733C23—4721no—
1734C23—4721no—
1735C23—2361no—
1736C23—2361no—
1737C23—2361no—
1738C23—2361no—
1739C23—2361no—
1740C23—2361no—
1741C23—2362no—
1742C23—2362no—
1743C23—2362no—
1744C23—2362no—
1745C23C2×D4×D5911yescharacteristic
1746C23C2×D4×D5911yescharacteristic
1747C23C2×D4×D5911yescharacteristic
1748Q8—21no—
1749Q8—21no—
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—41no—
1755Q8—42no—
1756Q8—1181no—
1757Q8—1181no—
1758Q8—2361no—
1759Q8—2361no—
1760Q8—2361no—
1761Q8—2362no—
1762D4—21no—
1763D4—21no—
1764D4—41no—
1765D4—41no—
1766D4—41no—
1767D4—42no—
1768D4—81no—
1769D4—81no—
1770D4—1181no—
1771D4—1181no—
1772D4—1181no—
1773D4—1181no—
1774D4—1181no—
1775D4—1181no—
1776D4—4721no—
1777D4—4721no—
1778D4—4721no—
1779D4—4721no—
1780D4—4721no—
1781D4—4721no—
1782D4—4721no—
1783D4—4721no—
1784D4—4721no—
1785D4—4721no—
1786D4—4721no—
1787D4—4721no—
1788D4—4721no—
1789D4—4721no—
1790D4—2361no—
1791D4—2361no—
1792D4—2361no—
1793D4—2362no—
1794D4—2362no—
1795D4—2362no—
1796D4—2362no—
1797D4—2362no—
1798D4—2362no—
1799D4—2362no—
1800D4—2361no—
1801D4—2361no—
1802D4—2361no—
1803D4—2361no—
1804D4—2361no—
1805D4—2361no—
1806D4—2362no—
1807D4—2362no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—42no—
1822C2×C4—42no—
1823C2×C4—81no—
1824C2×C4—591no—
1825C2×C4—592no—
1826C2×C4—592no—
1827C2×C4—591no—
1828C2×C4—591no—
1829C2×C4—591no—
1830C2×C4—1182no—
1831C2×C4—1182no—
1832C2×C4—1182no—
1833C2×C4—1182no—
1834C2×C4—1182no—
1835C2×C4—1182no—
1836C2×C4—1182no—
1837C2×C4—1182no—
1838C2×C4—1182no—
1839C2×C4—1181no—
1840C2×C4—1181no—
1841C2×C4—1181no—
1842C2×C4—1181no—
1843C2×C4—1181no—
1844C2×C4—1181no—
1845C2×C4—1181no—
1846C2×C4—1181no—
1847C2×C4—1181no—
1848C2×C4—1181no—
1849C2×C4—1181no—
1850C2×C4—4721no—
1851C2×C4—4721no—
1852C2×C4—4721no—
1853C2×C4—4721no—
1854C2×C4—4721no—
1855C2×C4—2362no—
1856C2×C4—2362no—
1857C2×C4—2362no—
1858C2×C4—2362no—
1859C2×C4—2362no—
1860C2×C4—2362no—
1861C2×C4—2362no—
1862C2×C4—2362no—
1863C2×C4—2362no—
1864C2×C4—2362no—
1865C2×C4C2×D4×D5911yescharacteristic
1866C2×C4C2×D4×D5911yescharacteristic
1867C2×C4C2×D4×D5911yescharacteristic
1868C2×C4C24×D5911yescharacteristic
1869C8—21no—
1870C8—21no—
1871C8—21no—
1872C8—21no—
1873C8—1181no—
1874C8—1181no—
1875C8—1181no—
1876C8—1181no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—21no—
1882C22—21no—
1883C22—21no—
1884C22—21no—
1885C22—21no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—592no—
1890C22—1181no—
1891C22—1181no—
1892C22—1181no—
1893C22—1181no—
1894C22—1181no—
1895C22—1181no—
1896C22—1181no—
1897C22—1181no—
1898C22—1181no—
1899C22—1181no—
1900C22—1181no—
1901C22—4722no—
1902C22—4722no—
1903C22—4724no—
1904C22—4724no—
1905C22—2364no—
1906C22—2361no—
1907C22—2361no—
1908C22—2361no—
1909C22—2361no—
1910C22—2361no—
1911C22—2361no—
1912C22—2361no—
1913C22—2361no—
1914C22—2361no—
1915C22C22×D4×D5911yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—41no—
1926C4—592no—
1927C4—1181no—
1928C4—1181no—
1929C4—1181no—
1930C4—2361no—
1931C4—2361no—
1932C4—2361no—
1933C4—2361no—
1934C4—2361no—
1935C4H(5,𝔽2)×D5911yescharacteristic
1936C4H(5,𝔽2)×D5911yescharacteristic
1937C2—41no—
1938C2—41no—
1939C2—41no—
1940C2—81no—
1941C2—1182no—
1942C2—4721no—
1943C2—4721no—
1944C2—4721no—
1945C2—2361no—
1946C2—2361no—
1947C2—2361no—
1948C2#534×D5911yescharacteristic
1949C2#2143887411yescharacteristic
1950C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3201C2
socleC22×C59C23×D4
hypercenter#3201D59
hypocenterC59#60755
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3201

Complements

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

NH ≅ G/Ntype
1. #21437428C2semidirect
2. #537×D59C2semidirect
3. #21435006C2semidirect
4. #21435004C2semidirect
5. #21435003C2semidirect
6. #21435001C2semidirect
7. #21435000C2semidirect
8. #21434999C2semidirect
9. #21434997C2semidirect
10. #21434994C2semidirect
11. #21434982C2semidirect
12. #21434978C2semidirect
13. #21434974C2semidirect
14. #21434954C2semidirect
15. #21434950C2semidirect
16. #21434946C2semidirect
17. #21434942C2semidirect
18. #21434043C2semidirect
19. #21434035C2semidirect
20. #21434023C2semidirect
21. #21434020C2semidirect
22. #21433725C2semidirect
23. #21433723C2semidirect
24. #21433710C2semidirect
25. #21433708C2semidirect
26. #21433355C2semidirect
27. #21433347C2semidirect
28. #21433339C2semidirect
29. #21433339C2semidirect
30. #21432538C2semidirect
31. C59×#3201C2semidirect
34. C2×#41×D59C22semidirect
39. C22×#11745659C22semidirect
40. C2×M16×D59C22semidirect
41. #16837983C22semidirect
44. #16837982C22semidirect
45. #16837982C22semidirect
46. #16837982C22semidirect
47. #16837982C22semidirect
48. #16837982C22semidirect
51. #16837981C22semidirect
53. #16837980C22semidirect
57. #16837976C22semidirect
58. #16837971C22semidirect
60. #16837966C22semidirect
73. C22⋊Q8×D59C22semidirect
78. #121×D59C22semidirect
80. C2×C4⋊C4×D59C22semidirect
81. #16837744C22semidirect
82. #16837743C22semidirect
83. #16837740C22semidirect
84. #16837739C22semidirect
85. #16837736C22semidirect
86. #16837736C22semidirect
87. #16837736C22semidirect
88. #16837735C22semidirect
89. #16837734C22semidirect
90. #16837731C22semidirect
91. #16837731C22semidirect
92. #16837731C22semidirect
93. #16837730C22semidirect
94. #16837727C22semidirect
95. #16837726C22semidirect
96. #16837723C22semidirect
97. #16837722C22semidirect
98. #16837722C22semidirect
99. #16837722C22semidirect
100. #16837721C22semidirect
101. #16837720C22semidirect
102. #16837719C22semidirect
103. #16837717C22semidirect
104. #16837717C22semidirect
105. #16837717C22semidirect
106. #16837716C22semidirect
107. #16837715C22semidirect
108. #16837714C22semidirect
109. #16837659C22semidirect
110. #16837658C22semidirect
111. #16837657C22semidirect
112. #16837656C22semidirect
113. #16837655C22semidirect
114. #16837654C22semidirect
115. #16837653C22semidirect
116. #16837651C22semidirect
117. #16837651C22semidirect
118. #16837650C22semidirect
119. #16837650C22semidirect
120. #16837649C22semidirect
121. #16837648C22semidirect
122. #16837645C22semidirect
123. #16837642C22semidirect
124. #16837641C22semidirect
125. #16837640C22semidirect
126. #16837639C22semidirect
127. #16837638C22semidirect
128. #16837637C22semidirect
129. #16837636C22semidirect
130. #16837634C22semidirect
131. #16837634C22semidirect
132. #16837633C22semidirect
133. #16837633C22semidirect
134. #16837632C22semidirect
135. #16837631C22semidirect
136. #16837628C22semidirect
137. #16837567C22semidirect
138. #16837567C22semidirect
139. #16837563C22semidirect
140. #16837563C22semidirect
141. #16837563C22semidirect
142. #16837563C22semidirect
143. #16837562C22semidirect
144. #16837562C22semidirect
145. #16837561C22semidirect
146. #16837561C22semidirect
147. #16837558C22semidirect
148. #16837555C22semidirect
149. #16837552C22semidirect
150. #16837550C22semidirect
151. #16837550C22semidirect
152. #16837550C22semidirect
153. #16837550C22semidirect
154. #16837549C22semidirect
155. #16837549C22semidirect
156. #16837548C22semidirect
157. #16837548C22semidirect
158. #16837547C22semidirect
159. #16837547C22semidirect
160. #16837546C22semidirect
161. #16837546C22semidirect
162. #16837541C22semidirect
163. #16837538C22semidirect
164. #16837535C22semidirect
165. #16837443C22semidirect
166. #16837443C22semidirect
167. #16837441C22semidirect
168. #16837441C22semidirect
169. #16837409C22semidirect
170. #16837409C22semidirect
171. #16837405C22semidirect
172. #16837405C22semidirect
177. #16837370C22semidirect
178. #16837369C22semidirect
179. #16837368C22semidirect
180. #16837367C22semidirect
181. #16837367C22semidirect
182. #16837367C22semidirect
183. #16837367C22semidirect
186. #16837364C22semidirect
187. #16837364C22semidirect
189. C59×#536C22semidirect
190. C59×#485C22semidirect
191. C59×#484C22semidirect
192. C59×#483C22semidirect
193. C59×#482C22semidirect
194. C59×#470C22semidirect
195. C59×#468C22semidirect
196. C59×#467C22semidirect
197. C59×#465C22semidirect
198. C59×#452C22semidirect
199. C59×#452C22semidirect
200. C59×#451C22semidirect
201. C59×#448C22semidirect
202. C59×#408C22semidirect
975. #3201D59semidirect
1034. #536C2×D59semidirect
1061. #485C2×D59semidirect
1067. #484C2×D59semidirect
1073. #483C2×D59semidirect
1077. #482C2×D59semidirect
1093. #470C2×D59semidirect
1105. #468C2×D59semidirect
1109. #467C2×D59semidirect
1121. #465C2×D59semidirect
1132. #452C2×D59semidirect
1133. #452C2×D59semidirect
1135. #451C2×D59semidirect
1151. #448C2×D59semidirect
1173. #408C2×D59semidirect
1178. C59#60755semidirect

Maximal subgroups

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

subgroupindex
#214374282
#537×D592
#214350062
#214350042
#214350032
#214350012
#214350002
#214349992
#214349972
#214349942
#214349822
#214349782
#214349742
#214349542
#214349502
#214349462
#214349422
#214340432
#214340352
#214340232
#214340202
#214337252
#214337232
#214337102
#214337082
#214333552
#214333472
#214333392
#214325382
C59×#32012
#6075559