Finite Group Databasebeta

← #29474853

Subgroups — #29474853

Order 15104.

2070 conjugacy classes of subgroups.

The subgroup lattice has 1886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438357C211yesmaximal, characteristic, complemented
2#21437735C211yesmaximal, characteristic, complemented
3#21436191C211yesmaximal, characteristic, complemented
4#21436073C211yesmaximal, characteristic, complemented
5#21436070C211yesmaximal, characteristic, complemented
6#21435947C211yesmaximal, characteristic, complemented
7#21435944C211yesmaximal, characteristic, complemented
8#21435928C211yesmaximal, characteristic, complemented
9#21435925C211yesmaximal, characteristic, complemented
10#21435822C211yesmaximal, characteristic, complemented
11#21435821C211yesmaximal, characteristic, complemented
12#21435815C211yesmaximal, characteristic, complemented
13#21435811C211yesmaximal, characteristic, complemented
14#21435641C211yesmaximal, characteristic, complemented
15#21435638C211yesmaximal, characteristic, complemented
16#21435628C211yesmaximal, characteristic, complemented
17#21435625C211yesmaximal, characteristic, complemented
18#21435178C211yesmaximal, characteristic, complemented
19#21435158C211yesmaximal, characteristic, complemented
20#21434983C211yesmaximal, characteristic, complemented
21#21434979C211yesmaximal, characteristic, complemented
22#21434891C211yesmaximal, characteristic, complemented
23#21434890C211yesmaximal, characteristic, complemented
24#21434347C211yesmaximal, characteristic, complemented
25#21434341C211yesmaximal, characteristic, complemented
26#21433404C211yesmaximal, characteristic, complemented
27#21433402C211yesmaximal, characteristic, complemented
28#21433317C211yesmaximal, characteristic, complemented
29#21433316C211yesmaximal, characteristic, complemented
30#21433147C211yesmaximal, characteristic, complemented
31C59×#3315C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273755C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273750C2211yescharacteristic, complemented
37C2×#14273750C2211yescharacteristic, complemented
38C2×#14273749C2211yescharacteristic, complemented
39C2×#14273748C2211yescharacteristic, complemented
40C2×#14273747C2211yescharacteristic, complemented
41C2×#14273747C2211yescharacteristic, complemented
42#16838143—21no—
43#16838142—21no—
44#16838105—21no—
45#16838100C2211yescharacteristic, complemented
46#16838096—21no—
47#16838096C2211yescharacteristic, complemented
48#16838090C2211yescharacteristic, complemented
49#16838074C2211yescharacteristic, complemented
50#16838073C2211yescharacteristic, complemented
51#16838055C2211yescharacteristic
52#16838054C2211yescharacteristic
53#16838054C2211yescharacteristic, complemented
54#16838054C2211yescharacteristic, complemented
55#16838053—21no—
56#16838051C2211yescharacteristic
57#16838050—21no—
58#16838048C2211yescharacteristic
59#16838047C2211yescharacteristic
60#16838044—21no—
61#16838043C2211yescharacteristic
62#16838041—21no—
63#16838040C2211yescharacteristic
64#16838010C2211yescharacteristic, complemented
65#16838008C2211yescharacteristic, complemented
66#16838007—21no—
67#16838004—21no—
68#16838000—21no—
69#16837993—21no—
70#16837983C2211yescharacteristic
71#16837982C2211yescharacteristic
72#16837977C2211yescharacteristic
73#16837975C2211yescharacteristic
74#16837963—21no—
75#16837960—21no—
76#16837915C2211yescharacteristic
77#16837915C2211yescharacteristic, complemented
78#16837914C2211yescharacteristic, complemented
79#16837911C2211yescharacteristic
80C2×#14273712—21no—
81#123×D59—21no—
82#16837874C2211yescharacteristic
83#16837795C2211yescharacteristic, complemented
84#16837791C2211yescharacteristic, complemented
85#16837780C2211yescharacteristic, complemented
86#16837776C2211yescharacteristic, complemented
87#16837769C2211yescharacteristic, complemented
88#16837759C2211yescharacteristic, complemented
89#16837758C2211yescharacteristic, complemented
90#16837745C2211yescharacteristic, complemented
91#16837742C2211yescharacteristic, complemented
92#16837742C2211yescharacteristic, complemented
93#16837736C2211yescharacteristic, complemented
94#16837734C2211yescharacteristic, complemented
95#16837732C2211yescharacteristic, complemented
96#16837729C2211yescharacteristic, complemented
97#16837729C2211yescharacteristic, complemented
98#16837728C2211yescharacteristic, complemented
99#16837726C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic, complemented
101#16837700C2211yescharacteristic, complemented
102#16837699C2211yescharacteristic, complemented
103#16837659C2211yescharacteristic, complemented
104#16837649C2211yescharacteristic, complemented
105#16837648C2211yescharacteristic, complemented
106#16837644C2211yescharacteristic, complemented
107#16837642C2211yescharacteristic, complemented
108#16837641C2211yescharacteristic, complemented
109#16837639C2211yescharacteristic, complemented
110#16837638C2211yescharacteristic, complemented
111#16837634C2211yescharacteristic, complemented
112#16837634C2211yescharacteristic, complemented
113#16837633C2211yescharacteristic, complemented
114#16837633C2211yescharacteristic, complemented
115#16837633C2211yescharacteristic, complemented
116#16837632C2211yescharacteristic, complemented
117#16837625C2211yescharacteristic, complemented
118#16837624C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837609C2211yescharacteristic, complemented
122#16837606C2211yescharacteristic, complemented
123#16837606C2211yescharacteristic, complemented
124#16837606C2211yescharacteristic, complemented
125#16837605C2211yescharacteristic, complemented
126#16837598C2211yescharacteristic, complemented
127#16837597C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic
129#16837567C2211yescharacteristic, complemented
130#16837567C2211yescharacteristic, complemented
131#16837567C2211yescharacteristic, complemented
132#16837566C2211yescharacteristic, complemented
133#16837565C2211yescharacteristic, complemented
134#16837563C2211yescharacteristic
135#16837563C2211yescharacteristic, complemented
136#16837563C2211yescharacteristic, complemented
137#16837562C2211yescharacteristic, complemented
138#16837562C2211yescharacteristic, complemented
139#16837562C2211yescharacteristic, complemented
140#16837559C2211yescharacteristic, complemented
141#16837556C2211yescharacteristic, complemented
142#16837554C2211yescharacteristic
143#16837554C2211yescharacteristic, complemented
144#16837552C2211yescharacteristic, complemented
145#16837551C2211yescharacteristic
146#16837550C2211yescharacteristic
147#16837550C2211yescharacteristic
148#16837550C2211yescharacteristic, complemented
149#16837550C2211yescharacteristic, complemented
150#16837550C2211yescharacteristic, complemented
151#16837549C2211yescharacteristic, complemented
152#16837549C2211yescharacteristic, complemented
153#16837548C2211yescharacteristic, complemented
154#16837547C2211yescharacteristic, complemented
155#16837547C2211yescharacteristic, complemented
156#16837542C2211yescharacteristic, complemented
157#16837542C2211yescharacteristic, complemented
158#16837538C2211yescharacteristic, complemented
159#16837537C2211yescharacteristic
160#16837537C2211yescharacteristic
161#16837537C2211yescharacteristic, complemented
162#16837513C2211yescharacteristic, complemented
163#16837511C2211yescharacteristic, complemented
164#16837504C2211yescharacteristic, complemented
165C4×#11745671C2211yescharacteristic, complemented
166C4×#11745670C2211yescharacteristic, complemented
167#16837484C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837471C2211yescharacteristic, complemented
171#16837470C2211yescharacteristic, complemented
172D4×C59⋊C8C2211yescharacteristic, complemented
173#16837467C2211yescharacteristic, complemented
174C8×C22⋊D59C2211yescharacteristic, complemented
175(C22⋊D59)⋊C8C2211yescharacteristic, complemented
176#16837464C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837397C2211yescharacteristic, complemented
180#16837396C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182C2×#14273647C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic
185#16837367C2211yescharacteristic
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic, complemented
189C59×#547C2211yescharacteristic
190C59×#491C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#484C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#467C2211yescharacteristic, complemented
196C59×#462C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745685—21no—
211C2×#11745685—21no—
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×#11745685C2311yescharacteristic
216C2×#11745687—21no—
217C2×#11745687C2311yescharacteristic
218#41×D59—42no—
219#41×D59—42no—
220C2×Q8×D59C2311yescharacteristic
221C22×D236—21no—
222C22×D236C2311yescharacteristic
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C22×C4×D59—21no—
229C22×C4×D59C2311yescharacteristic
230#14273755—42no—
231#14273754—42no—
232#14273750—42no—
233#14273750—42no—
234#14273749—42no—
235#14273748—42no—
236#14273747—42no—
237#14273747—42no—
238C2×Dic236C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240C2×#11745672C2311yescharacteristic
241C2×#11745672C2311yescharacteristic
242C2×#11745660C2311yescharacteristic
243C2×#11745660C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745670C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253C2×D472C2311yescharacteristic
254C2×D472C2311yescharacteristic
255C2×D472C2311yescharacteristic
256C2×D472C2311yescharacteristic
257C2×#11745669C2311yescharacteristic
258C2×#11745669C2311yescharacteristic
259C2×#11745659C2311yescharacteristic
260C22×C59⋊C8C2311yescharacteristic
261C22×C59⋊C8C2311yescharacteristic
262C2×C8×D59C2311yescharacteristic
263C2×C8×D59C2311yescharacteristic
264C2×C8×D59C2311yescharacteristic
265#14273726—21no—
266#14273725C2311yescharacteristic
267#14273725C2311yescharacteristic
268#14273724—21no—
269#14273724C2311yescharacteristic
270#14273723—21no—
271#14273722—21no—
272#14273722—21no—
273#14273722—21no—
274#14273721—21no—
275#14273721—21no—
276#14273719—21no—
277#14273718—21no—
278#14273718C2311yescharacteristic
279#14273717—21no—
280#14273716C2311yescharacteristic
281#14273715C2311yescharacteristic
282#14273713—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712—21no—
294#14273712—21no—
295#14273712—21no—
296#14273712—21no—
297#14273712—21no—
298#14273712—21no—
299#14273712D411yescharacteristic
300#14273711—21no—
301#14273711—21no—
302#14273710—21no—
303#14273710—21no—
304#14273709—21no—
305#14273709—21no—
306#14273709—21no—
307#14273709—21no—
308#14273709—21no—
309#14273709D411yescharacteristic
310#14273708—21no—
311#14273707—21no—
312#14273707C2311yescharacteristic
313#14273707C2311yescharacteristic
314#14273707C2311yescharacteristic
315#14273707C2311yescharacteristic
316#14273706C2311yescharacteristic
317#14273705—21no—
318#14273705—21no—
319#14273705—21no—
320#14273705D411yescharacteristic
321#14273704D411yescharacteristic
322#14273703C2311yescharacteristic
323#14273703C2311yescharacteristic
324#14273703C2311yescharacteristic
325#14273702—21no—
326#14273702—21no—
327#14273702—21no—
328#14273702—21no—
329#14273702—21no—
330#14273702—21no—
331#14273702—21no—
332#14273702—21no—
333#14273702C2311yescharacteristic
334#14273702C2311yescharacteristic
335#14273702C2311yescharacteristic
336#14273702C2311yescharacteristic
337#14273702C2311yescharacteristic
338#14273701—21no—
339#14273701—21no—
340#14273701—21no—
341#14273701—21no—
342#14273701C2311yescharacteristic
343#14273701C2311yescharacteristic
344#14273701C2311yescharacteristic
345#14273700—21no—
346#14273700—21no—
347#14273700—21no—
348#14273700—21no—
349#14273700—21no—
350#14273700—21no—
351#14273700—21no—
352#14273700—21no—
353#14273700—21no—
354#14273700D411yescharacteristic
355#14273699—21no—
356#14273699—21no—
357#14273699D411yescharacteristic
358#14273697—21no—
359#14273697—21no—
360#14273697—21no—
361#14273697—21no—
362#14273697—21no—
363#14273697D411yescharacteristic
364#14273695—21no—
365#14273695—21no—
366#14273695D411yescharacteristic
367C4×Dic118C2311yescharacteristic
368C4×D236—21no—
369C4×D236—21no—
370C4×D236—21no—
371C4×D236—21no—
372C4×D236C2311yescharacteristic
373C4×D236C2311yescharacteristic
374D4×Dic59C2311yescharacteristic
375#14273689—21no—
376#14273689—21no—
377#14273689—21no—
378#14273689C2311yescharacteristic
379#14273689C2311yescharacteristic
380#14273689C2311yescharacteristic
381C4×C22⋊D59—21no—
382C4×C22⋊D59—21no—
383C4×C22⋊D59C2311yescharacteristic
384C4×C22⋊D59C2311yescharacteristic
385(C22⋊D59)⋊C4—21no—
386(C22⋊D59)⋊C4—21no—
387(C22⋊D59)⋊C4—21no—
388#14273685—21no—
389#14273685C2311yescharacteristic
390#14273685C2311yescharacteristic
391#14273684C2311yescharacteristic
392C2×Dic59⋊C4—21no—
393C4⋊C4×D59—21no—
394C4⋊C4×D59—21no—
395C4⋊C4×D59—21no—
396C4⋊C4×D59—21no—
397C4⋊C4×D59C2311yescharacteristic
398C2×(C2×D59)⋊C4—21no—
399C2×(C2×D59)⋊C4—21no—
400C2×(C2×D59)⋊C4—21no—
401C22⋊C4×D59—21no—
402C22⋊C4×D59—21no—
403C22⋊C4×D59—21no—
404#14273661C2311yescharacteristic
405#14273660C2311yescharacteristic
406#14273658C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
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#14273637C2311yescharacteristic
445C4×C59⋊C8C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C2×Q16×C59C2311yescharacteristic
450C2×Q16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454C4⋊Q8×C59C2311yescharacteristic
455#126×C59—21no—
456#125×C59—21no—
457#125×C59C2311yescharacteristic
458#123×C59—21no—
459#123×C59—21no—
460#123×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463C22⋊Q8×C59C2311yescharacteristic
464C22⋊Q8×C59C2311yescharacteristic
465#121×C59—21no—
466C4×Q8×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469#117×C59—21no—
470#117×C59C2311yescharacteristic
471C2×C4⋊C4×C59—21no—
472C2×C4⋊C4×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×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
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59C2×D411yescharacteristic
494#41×C59—22no—
495#41×C59—22no—
496#41×C59—41no—
497#41×C59—41no—
498C2×Q8×C59C2411yescharacteristic
499C2×Q8×C59C2411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59C2×D411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59C2411yescharacteristic
510C22×C4×C59C2411yescharacteristic
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
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⋊D59C2×D411yescharacteristic
521C2×C22⋊D59C2×D411yescharacteristic
522C2×C22⋊D59C2×D411yescharacteristic
523C2×C22⋊D59C2×D411yescharacteristic
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59C2×D411yescharacteristic
527#11745689—22no—
528#11745689—22no—
529#11745689—41no—
530#11745689—41no—
531#11745689—41no—
532#11745689—41no—
533#11745689—41no—
534#11745689—41no—
535#11745689—41no—
536#11745689—41no—
537Q8×D59—41no—
538Q8×D59—41no—
539#11745687—22no—
540#11745687—41no—
541#11745687—44no—
542D4×D59—22no—
543D4×D59—22no—
544D4×D59—22no—
545D4×D59—41no—
546D4×D59—44no—
547D4×D59—44no—
548D4×D59—44no—
549#11745685—22no—
550#11745685—41no—
551#11745685—41no—
552#11745685—41no—
553#11745685—41no—
554#11745685—41no—
555#11745685—41no—
556#11745685—41no—
557#11745685—44no—
558#11745685—44no—
559C2×D236—22no—
560C2×D236—21no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236—21no—
567C2×D236—21no—
568C2×D236—21no—
569C2×D236—21no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236—41no—
574C2×D236—44no—
575C2×D236C2×D411yescharacteristic
576C2×D236C2×D411yescharacteristic
577C2×D236C2411yescharacteristic
578C2×D236C2411yescharacteristic
579C2×D236C2411yescharacteristic
580C2×D236C2411yescharacteristic
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—41no—
596C2×C4×D59—41no—
597C2×C4×D59—44no—
598C2×C4×D59C2×D411yescharacteristic
599C2×C4×D59C2×D411yescharacteristic
600C2×C4×D59C2411yescharacteristic
601C2×C4×D59C2411yescharacteristic
602C2×C4×D59C2411yescharacteristic
603C2×Dic118—21no—
604C2×Dic118C2×D411yescharacteristic
605C2×Dic118C2411yescharacteristic
606C2×Dic118C2411yescharacteristic
607Q16×C59—41no—
608Q16×C59—41no—
609SD16×C59—22no—
610M16×C59—41no—
611C2×C8×C59—41no—
612C2×C8×C59C2411yescharacteristic
613C2×C8×C59C2411yescharacteristic
614C2×C8×C59C2411yescharacteristic
615C2×C8×C59C2411yescharacteristic
616C4⋊C4×C59—21no—
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59—21no—
621C4⋊C4×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59—21no—
626C4⋊C4×C59C2×D411yescharacteristic
627C4⋊C4×C59C2411yescharacteristic
628C4⋊C4×C59C2411yescharacteristic
629C4⋊C4×C59C2411yescharacteristic
630C4⋊C4×C59C2411yescharacteristic
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59C2×D411yescharacteristic
638C22⋊C4×C59C2×D411yescharacteristic
639C42×C59—21no—
640C42×C59—21no—
641C42×C59C2411yescharacteristic
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59C2×D411yescharacteristic
645C22⋊Dic59C2×D411yescharacteristic
646#11745672—41no—
647#11745672—41no—
648#11745672—41no—
649#11745671—22no—
650#11745671—41no—
651#11745671—41no—
652#11745671—41no—
653#11745671—41no—
654#11745671—41no—
655#11745670—22no—
656#11745669—22no—
657#11745669—22no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
684(C2×D59)⋊C4C2×D411yescharacteristic
685(C2×D59)⋊C4C2×D411yescharacteristic
686(C2×D59)⋊C4C2×D411yescharacteristic
687(C2×D59)⋊C4C2×D411yescharacteristic
688(C2×D59)⋊C4C2×D411yescharacteristic
689C4⋊Dic59—21no—
690C4⋊Dic59—21no—
691C4⋊Dic59—21no—
692C4⋊Dic59—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59C2×D411yescharacteristic
695C4⋊Dic59C2411yescharacteristic
696C4⋊Dic59C2411yescharacteristic
697Dic59⋊C4—21no—
698Dic59⋊C4—21no—
699Dic59⋊C4—21no—
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4C2×D411yescharacteristic
709Dic59⋊C4C2×D411yescharacteristic
710Dic59⋊C4C2×D411yescharacteristic
711Dic59⋊C4C2×D411yescharacteristic
712C4×Dic59—21no—
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59C2411yescharacteristic
716C2×C59⋊C8—41no—
717C2×C59⋊C8—41no—
718C2×C59⋊C8C2411yescharacteristic
719C2×C59⋊C8C2411yescharacteristic
720C2×C59⋊C8C2411yescharacteristic
721C2×C59⋊C8C2411yescharacteristic
722Dic236—41no—
723D472—22no—
724D472—22no—
725D472—41no—
726D472—41no—
727#11745660—22no—
728#11745660—41no—
729#11745660—41no—
730#11745660—41no—
731#11745659—41no—
732C8×D59—41no—
733C8×D59—41no—
734C8×D59—41no—
735C23×C59—21no—
736C23×C59C22×D411yescharacteristic
737C23×C59C22×D411yescharacteristic
738C22×D59—21no—
739C22×D59—24no—
740C22×D59—21no—
741C22×D59—21no—
742C22×D59—21no—
743C22×D59—41no—
744C22×D59—41no—
745C22×D59—41no—
746C22×D59—42no—
747C22×D59—42no—
748C22×D59—81no—
749C22×D59—81no—
750C22×D59—81no—
751C22×D59—81no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59C22×D411yescharacteristic
755C22×D59C22×D411yescharacteristic
756C22×D59C22×D411yescharacteristic
757Q8×C59—21no—
758Q8×C59—21no—
759Q8×C59—21no—
760Q8×C59—21no—
761Q8×C59—21no—
762Q8×C59—21no—
763D4×C59—21no—
764D4×C59—41no—
765D4×C59—42no—
766D4×C59—42no—
767D4×C59H(5,𝔽2)12yes—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—42no—
780C2×C4×C59—42no—
781C2×C4×C59—81no—
782C2×C4×C59—81no—
783C2×C4×C59C22×D411yescharacteristic
784C2×C4×C59C22×D411yescharacteristic
785C2×C4×C59C22×D411yescharacteristic
786C2×C4×C59C22×D411yescharacteristic
787C2×C4×C59C2511yescharacteristic
788C22⋊D59—24no—
789C22⋊D59—41no—
790C22⋊D59—41no—
791C22⋊D59—41no—
792C22⋊D59—41no—
793C22⋊D59—42no—
794C22⋊D59—42no—
795C22⋊D59—42no—
796C22⋊D59—81no—
797C22⋊D59—81no—
798C22⋊D59—81no—
799C22⋊D59—81no—
800C22⋊D59—81no—
801C2×Dic59—21no—
802C2×Dic59—21no—
803C2×Dic59—21no—
804C2×Dic59—21no—
805C2×Dic59—41no—
806C2×Dic59—42no—
807C2×Dic59—81no—
808C2×Dic59C22×D411yescharacteristic
809C2×Dic59C22×D411yescharacteristic
810C2×Dic59C22×D411yescharacteristic
811C2×Dic59C22×D411yescharacteristic
812C2×Dic59C22×D411yescharacteristic
813D236—21no—
814D236—21no—
815D236—21no—
816D236—21no—
817D236—21no—
818D236—21no—
819D236—21no—
820D236—41no—
821D236—41no—
822D236—42no—
823D236—42no—
824D236—42no—
825D236—42no—
826D236—81no—
827D236—81no—
828D236—81no—
829D236—81no—
830D236—81no—
831D236—81no—
832D236—81no—
833D236—81no—
834D236—81no—
835D236H(5,𝔽2)12yes—
836C4×D59—21no—
837C4×D59—21no—
838C4×D59—21no—
839C4×D59—21no—
840C4×D59—21no—
841C4×D59—21no—
842C4×D59—41no—
843C4×D59—41no—
844C4×D59—42no—
845C4×D59—42no—
846C4×D59—42no—
847C4×D59—42no—
848C4×D59—42no—
849C4×D59—81no—
850C4×D59—81no—
851C4×D59—81no—
852C4×D59—81no—
853C4×D59—81no—
854C4×D59—81no—
855C4×D59—81no—
856C4×D59—81no—
857C4×D59—81no—
858Dic118—21no—
859Dic118—21no—
860Dic118—21no—
861Dic118—21no—
862Dic118—41no—
863Dic118—42no—
864C8×C59—21no—
865C8×C59—21no—
866C8×C59—21no—
867C8×C59—21no—
868C59⋊C8—21no—
869C59⋊C8—21no—
870C59⋊C8—21no—
871C59⋊C8—21no—
872#61635—591nomaximal, Sylow
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—22no—
878C22×C59—21no—
879C22×C59—21no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59C23×D411yescharacteristic
883C2×D59—21no—
884C2×D59—21no—
885C2×D59—21no—
886C2×D59—21no—
887C2×D59—21no—
888C2×D59—21no—
889C2×D59—21no—
890C2×D59—21no—
891C2×D59—21no—
892C2×D59—22no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—41no—
897C2×D59—41no—
898C2×D59—41no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—84no—
905C2×D59—82no—
906C2×D59—162no—
907C2×D59—162no—
908C4×C59—21no—
909C4×C59—21no—
910C4×C59—21no—
911C4×C59—21no—
912C4×C59—41no—
913C4×C59—41no—
914C4×C59—41no—
915C4×C59—41no—
916C4×C59—41no—
917C4×C59—41no—
918C4×C59—41no—
919C4×C59C2×H(5,𝔽2)11yescharacteristic
920C4×C59C2×H(5,𝔽2)11yescharacteristic
921Dic59—21no—
922Dic59—21no—
923Dic59—21no—
924Dic59—21no—
925Dic59—21no—
926Dic59—41no—
927Dic59—41no—
928Dic59—41no—
929Dic59—41no—
930#3539—591no—
931#3485—591no—
932#3315—591no—
933#3315D5911yescharacteristic, complemented
934#3307—591no—
935#3307—591no—
936#3297—591no—
937#3297—591no—
938#3296—591no—
939#3296—591no—
940#3284—591no—
941#3284—591no—
942#3283—591no—
943#3283—591no—
944#3268—591no—
945#3268—591no—
946#3267—591no—
947#3267—591no—
948#3223—591no—
949#3221—591no—
950#3201—591no—
951#3201—591no—
952#3191—591no—
953#3191—591no—
954#3123—591no—
955#3122—591no—
956#3012—591no—
957#3012—591no—
958#3002—591no—
959#3002—591no—
960#2977—591no—
961C2×C59—42no—
962C2×C59—41no—
963C2×C59—41no—
964C2×C59#348411yescharacteristic
965C2×C59#358411yescharacteristic
966C2×C59#358411yescharacteristic
967D59—41no—
968D59—41no—
969D59—41no—
970D59—42no—
971D59—81no—
972D59—81no—
973D59—81no—
974C2×H(5,𝔽2)—591no—
975C22×#41—591no—
976C2×AGL(1,ℤ/8)—591no—
977C2×AGL(1,ℤ/8)—591no—
978C2×#135—591no—
979C2×#135—591no—
980C2×#135—591no—
981C2×#135—591no—
982C2×#135—591no—
983C2×#135—591no—
984#560—1181no—
985#560—1181no—
986#553—591no—
987#553—591no—
988#553—1181no—
989#553—1181no—
990#552—591no—
991#552C2×D5911yescharacteristic, complemented
992#550—591no—
993#550—591no—
994#547—591no—
995#547—591no—
996#547—591no—
997#547—591no—
998#547—591no—
999#547—1181no—
1000#547—1181no—
1001#547C2×D5911yescharacteristic
1002#546—591no—
1003#546—591no—
1004#546—591no—
1005#546—591no—
1006#546—1181no—
1007#546—1181no—
1008#541—591no—
1009#540—591no—
1010#540—1181no—
1011#540—1181no—
1012#539—1181no—
1013#539—1181no—
1014#537—591no—
1015#537—591no—
1016#536—591no—
1017#536—591no—
1018#534—1181no—
1019#534—1181no—
1020#525—591no—
1021#525—591no—
1022#525—591no—
1023#525—591no—
1024C2×#123—1181no—
1025C2×#123—1181no—
1026#518—591no—
1027#497—591no—
1028#496—591no—
1029#494—591no—
1030#492—591no—
1031#491—591no—
1032#491C2×D5911yescharacteristic, complemented
1033#488—591no—
1034#488—591no—
1035#485—591no—
1036#485—591no—
1037#485—591no—
1038#485C2×D5911yescharacteristic, complemented
1039#484—591no—
1040#484C2×D5911yescharacteristic, complemented
1041#483—591no—
1042#483—591no—
1043#482—591no—
1044#482—591no—
1045#482—591no—
1046#482—591no—
1047#478—591no—
1048#478—591no—
1049#478—591no—
1050#478C2×D5911yescharacteristic, complemented
1051#470—591no—
1052#470C2×D5911yescharacteristic, complemented
1053#468—591no—
1054#468—591no—
1055#467—591no—
1056#467—591no—
1057#467—591no—
1058#467C2×D5911yescharacteristic, complemented
1059#466—591no—
1060#466—591no—
1061#465—591no—
1062#465—591no—
1063#465—591no—
1064#465—591no—
1065#465—591no—
1066#465—591no—
1067#464—591no—
1068#464—591no—
1069#463—591no—
1070#463—591no—
1071#462—591no—
1072#462C2×D5911yescharacteristic, complemented
1073#461—591no—
1074#461—591no—
1075#461—591no—
1076#461—591no—
1077#459—591no—
1078#459—591no—
1079#452—591no—
1080#452—591no—
1081#452—591no—
1082#452—591no—
1083#452—591no—
1084#452—591no—
1085#452—591no—
1086#452—591no—
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452C2×D5911yescharacteristic, complemented
1092#452C2×D5911yescharacteristic, complemented
1093#451—591no—
1094#451—591no—
1095#450—591no—
1096#450—591no—
1097#450—591no—
1098#450—591no—
1099#449—591no—
1100#449—591no—
1101#449—591no—
1102#449—591no—
1103#449—591no—
1104#449—591no—
1105#449—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#448—591no—
1110#448—591no—
1111#447—591no—
1112#447—591no—
1113#447—591no—
1114#447—591no—
1115#442—591no—
1116#442—591no—
1117#440—591no—
1118#440C2×D5911yescharacteristic, complemented
1119C4×SD16—591no—
1120C4×SD16—591no—
1121C4×D8—591no—
1122C4×D8—591no—
1123#435—591no—
1124#435—591no—
1125#435—591no—
1126#435C2×D5911yescharacteristic, complemented
1127C8×D4—591no—
1128C8×D4—591no—
1129C8×D4—591no—
1130C8×D4—591no—
1131#433—591no—
1132#433—591no—
1133#417—591no—
1134#417C2×D5911yescharacteristic, complemented
1135#416—591no—
1136#416—591no—
1137#416—591no—
1138#416C2×D5911yescharacteristic, complemented
1139C2×#102—591no—
1140C2×#102—591no—
1141#408—591no—
1142#408—591no—
1143C2×C22⋊C8—591no—
1144C2×C22⋊C8—591no—
1145C59#6163511yescharacteristic, complemented, Sylow
1146H(5,𝔽2)—2362no—
1147H(5,𝔽2)—2362no—
1148C2×#41—591no—
1149C2×#41—591no—
1150C2×#41—591no—
1151C2×#41—591no—
1152C2×#41—591no—
1153C2×#41—591no—
1154C2×#41—591no—
1155C2×#41—591no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—1181no—
1159C2×#41—1181no—
1160C2×#41—1181no—
1161C2×#41—2362no—
1162C2×#41—2362no—
1163C2×#41C22×D5911yescharacteristic
1164C2×#41C22×D5911yescharacteristic
1165C22×Q8—591no—
1166C22×D4—591no—
1167C22×D4—591no—
1168C22×D4—591no—
1169C22×D4—1181no—
1170C22×D4—1181no—
1171C22×D4—1181no—
1172C22×D4—1181no—
1173C23×C4—591no—
1174C23×C4—1181no—
1175AGL(1,ℤ/8)—2362no—
1176AGL(1,ℤ/8)—2362no—
1177#135—2362no—
1178#135—2362no—
1179#135—2362no—
1180#135—2362no—
1181#135—2362no—
1182#135—2362no—
1183C2×Q16—591no—
1184C2×Q16—591no—
1185C2×Q16—591no—
1186C2×Q16—591no—
1187C2×Q16C22×D5911yescharacteristic
1188C2×Q16C22×D5911yescharacteristic
1189C2×SD16—591no—
1190C2×SD16—591no—
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16—591no—
1194C2×SD16—591no—
1195C2×SD16—591no—
1196C2×SD16—591no—
1197C2×SD16—591no—
1198C2×SD16—591no—
1199C2×SD16—591no—
1200C2×SD16C22×D5911yescharacteristic
1201C2×D8—591no—
1202C2×D8—591no—
1203C2×D8—591no—
1204C2×D8—591no—
1205C2×D8—591no—
1206C2×D8—591no—
1207C2×M16—591no—
1208C2×M16C22×D5911yescharacteristic
1209C22×C8—591no—
1210C22×C8—591no—
1211C22×C8—591no—
1212C22×C8—591no—
1213C22×C8—591no—
1214C22×C8C22×D5911yescharacteristic
1215C4⋊Q8—591no—
1216C4⋊Q8—591no—
1217C4⋊Q8—1181no—
1218C4⋊Q8C22×D5911yescharacteristic
1219#127—591no—
1220#127—1181no—
1221#127—1181no—
1222#126—21no—
1223#126—1181no—
1224#126—1181no—
1225#126—1181no—
1226#126—1181no—
1227#126—1181no—
1228#125—21no—
1229#125—591no—
1230#125—1181no—
1231#125—1181no—
1232#125—1181no—
1233#125C22×D5911yescharacteristic
1234#124—591no—
1235#124—591no—
1236#124—1181no—
1237#123—21no—
1238#123—21no—
1239#123—21no—
1240#123—591no—
1241#123—591no—
1242#123—1181no—
1243#123—1181no—
1244#123—1181no—
1245#123—1181no—
1246#123—1181no—
1247#123—1181no—
1248#123—1181no—
1249#123—1181no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268C22⋊Q8—591no—
1269C22⋊Q8—591no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—591no—
1273C22⋊Q8—591no—
1274C22⋊Q8—591no—
1275C22⋊Q8—591no—
1276C22⋊Q8—591no—
1277C22⋊Q8—591no—
1278C22⋊Q8—1181no—
1279C22⋊Q8—1181no—
1280C22⋊Q8—1181no—
1281C22⋊Q8—1181no—
1282C22⋊Q8C22×D5911yescharacteristic
1283C22⋊Q8C22×D5911yescharacteristic
1284C22⋊Q8C22×D5911yescharacteristic
1285C22⋊Q8C22×D5911yescharacteristic
1286#121—21no—
1287#121—591no—
1288#121—591no—
1289#121—591no—
1290#121—591no—
1291#121—591no—
1292#121—591no—
1293#121—591no—
1294#121—591no—
1295#121—591no—
1296#121—591no—
1297#121—1181no—
1298#121—1181no—
1299#121—1181no—
1300#121—1181no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121—1181no—
1307#121—1181no—
1308#121—1181no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#120—591no—
1321#120—591no—
1322#120—1181no—
1323#120—1181no—
1324#120—1181no—
1325#120—1181no—
1326#120—1181no—
1327#120—1181no—
1328#120—1181no—
1329C4×Q8—591no—
1330C4×Q8C22×D5911yescharacteristic
1331C4×D4—591no—
1332C4×D4—591no—
1333C4×D4—591no—
1334C4×D4—591no—
1335C4×D4—591no—
1336C4×D4—591no—
1337C4×D4—591no—
1338C4×D4—591no—
1339C4×D4—1181no—
1340C4×D4—1181no—
1341C4×D4—1181no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4—1181no—
1350C4×D4—1181no—
1351C4×D4C22×D5911yescharacteristic
1352C4×D4C22×D5911yescharacteristic
1353#117—21no—
1354#117—591no—
1355#117—591no—
1356#117—591no—
1357#117—1181no—
1358#117C22×D5911yescharacteristic
1359C2×C4⋊C4—21no—
1360C2×C4⋊C4—591no—
1361C2×C4⋊C4—1181no—
1362C2×C4⋊C4—1181no—
1363C2×C4⋊C4—1181no—
1364C2×C4⋊C4—1181no—
1365C2×C4⋊C4—1181no—
1366C2×C4⋊C4C22×D5911yescharacteristic
1367C2×C22⋊C4—1181no—
1368C2×C22⋊C4—1181no—
1369C2×C22⋊C4—1181no—
1370C2×C22⋊C4—1181no—
1371C2×C22⋊C4—1181no—
1372C2×C22⋊C4—1181no—
1373#107—591no—
1374#107—591no—
1375#107C22×D5911yescharacteristic
1376#107C22×D5911yescharacteristic
1377#106—591no—
1378#106—591no—
1379#106—591no—
1380#106C22×D5911yescharacteristic
1381C4⋊C8—591no—
1382C4⋊C8—591no—
1383C4⋊C8—591no—
1384C4⋊C8C22×D5911yescharacteristic
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103—591no—
1393#103—591no—
1394#103C22×D5911yescharacteristic
1395#103C22×D5911yescharacteristic
1396#103C22×D5911yescharacteristic
1397#103C22×D5911yescharacteristic
1398#103C22×D5911yescharacteristic
1399#103C22×D5911yescharacteristic
1400#103C22×D5911yescharacteristic
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102C22×D5911yescharacteristic
1415#102C22×D5911yescharacteristic
1416#102C22×D5911yescharacteristic
1417C22⋊C8—591no—
1418C22⋊C8—591no—
1419C22⋊C8—591no—
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8—591no—
1423C22⋊C8—591no—
1424C22⋊C8—591no—
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8C22×D5911yescharacteristic
1428C22⋊C8C22×D5911yescharacteristic
1429#97—591no—
1430#97C22×D5911yescharacteristic
1431C4×C8—591no—
1432C4×C8—591no—
1433C24—591no—
1434C24—1181no—
1435C24—1181no—
1436C24—1181no—
1437#41—22no—
1438#41—22no—
1439#41—41no—
1440#41—41no—
1441#41—1182no—
1442#41—1182no—
1443#41—1182no—
1444#41—1182no—
1445#41—2361no—
1446#41—2361no—
1447#41—2361no—
1448#41—2361no—
1449#41—2361no—
1450#41—2361no—
1451#41—2361no—
1452#41—2364no—
1453#41—2364no—
1454#41—2361no—
1455#41—2361no—
1456#41—2361no—
1457#41—2361no—
1458#41—2361no—
1459#41—2361no—
1460#41—2361no—
1461#41—2361no—
1462#41—2361no—
1463#41—2364no—
1464C2×Q8—591no—
1465C2×Q8—591no—
1466C2×Q8—591no—
1467C2×Q8—1181no—
1468C2×Q8—2361no—
1469C2×Q8—2361no—
1470C2×Q8C23×D5911yescharacteristic
1471C2×Q8C23×D5911yescharacteristic
1472C2×Q8C23×D5911yescharacteristic
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—591no—
1476C2×D4—591no—
1477C2×D4—591no—
1478C2×D4—591no—
1479C2×D4—591no—
1480C2×D4—591no—
1481C2×D4—591no—
1482C2×D4—591no—
1483C2×D4—591no—
1484C2×D4—591no—
1485C2×D4—1182no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1181no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1182no—
1499C2×D4—1182no—
1500C2×D4—1182no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—2361no—
1512C2×D4—2364no—
1513C2×D4—2361no—
1514C2×D4—2364no—
1515C2×D4—2364no—
1516C2×D4—2364no—
1517C2×D4D4×D5911yescharacteristic
1518C2×D4C23×D5911yescharacteristic
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—591no—
1524C22×C4—591no—
1525C22×C4—591no—
1526C22×C4—591no—
1527C22×C4—591no—
1528C22×C4—591no—
1529C22×C4—1181no—
1530C22×C4—1181no—
1531C22×C4—1181no—
1532C22×C4—1181no—
1533C22×C4—1181no—
1534C22×C4—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—2361no—
1546C22×C4—2361no—
1547C22×C4—2364no—
1548C22×C4C23×D5911yescharacteristic
1549C22×C4C23×D5911yescharacteristic
1550Q16—41no—
1551Q16—41no—
1552Q16—2361no—
1553Q16—2361no—
1554Q16—2361no—
1555Q16—2361no—
1556SD16—22no—
1557SD16—1182no—
1558SD16—1182no—
1559SD16—1182no—
1560SD16—2361no—
1561SD16—2361no—
1562SD16—2361no—
1563SD16—2361no—
1564SD16—2361no—
1565SD16—2361no—
1566SD16—2361no—
1567SD16—2361no—
1568D8—1182no—
1569D8—1182no—
1570D8—1182no—
1571D8—1182no—
1572D8—2361no—
1573D8—2361no—
1574M16—41no—
1575M16—2361no—
1576C2×C8—41no—
1577C2×C8—591no—
1578C2×C8—591no—
1579C2×C8—591no—
1580C2×C8—591no—
1581C2×C8—2361no—
1582C2×C8—2361no—
1583C2×C8—2361no—
1584C2×C8—2361no—
1585C2×C8—2361no—
1586C2×C8C23×D5911yescharacteristic
1587C2×C8C23×D5911yescharacteristic
1588C2×C8C23×D5911yescharacteristic
1589C2×C8C23×D5911yescharacteristic
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4—591no—
1601C4⋊C4—591no—
1602C4⋊C4—591no—
1603C4⋊C4—591no—
1604C4⋊C4—591no—
1605C4⋊C4—591no—
1606C4⋊C4—591no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4—1181no—
1613C4⋊C4—1181no—
1614C4⋊C4—1181no—
1615C4⋊C4—1181no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4D4×D5911yescharacteristic
1624C4⋊C4C23×D5911yescharacteristic
1625C4⋊C4C23×D5911yescharacteristic
1626C4⋊C4C23×D5911yescharacteristic
1627C4⋊C4C23×D5911yescharacteristic
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—591no—
1635C22⋊C4—591no—
1636C22⋊C4—591no—
1637C22⋊C4—591no—
1638C22⋊C4—591no—
1639C22⋊C4—591no—
1640C22⋊C4—591no—
1641C22⋊C4—591no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4D4×D5911yescharacteristic
1670C22⋊C4D4×D5911yescharacteristic
1671C42—21no—
1672C42—21no—
1673C42—591no—
1674C42—1181no—
1675C42—1181no—
1676C42—1181no—
1677C42C23×D5911yescharacteristic
1678C23—21no—
1679C23—591no—
1680C23—591no—
1681C23—591no—
1682C23—1184no—
1683C23—1181no—
1684C23—1181no—
1685C23—1181no—
1686C23—1181no—
1687C23—4721no—
1688C23—4721no—
1689C23—4721no—
1690C23—4721no—
1691C23—4721no—
1692C23—4721no—
1693C23—2361no—
1694C23—2361no—
1695C23—2361no—
1696C23—2362no—
1697C23—2362no—
1698C23C2×D4×D5911yescharacteristic
1699C23C2×D4×D5911yescharacteristic
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—1181no—
1707Q8—1181no—
1708Q8—1181no—
1709Q8—1181no—
1710Q8—2361no—
1711Q8—2362no—
1712D4—21no—
1713D4—41no—
1714D4—42no—
1715D4—42no—
1716D4—592no—
1717D4—1184no—
1718D4—1181no—
1719D4—1181no—
1720D4—1181no—
1721D4—1181no—
1722D4—1181no—
1723D4—1181no—
1724D4—1181no—
1725D4—4721no—
1726D4—4721no—
1727D4—4721no—
1728D4—4721no—
1729D4—4721no—
1730D4—4721no—
1731D4—4721no—
1732D4—4721no—
1733D4—4721no—
1734D4—4721no—
1735D4—4721no—
1736D4—4721no—
1737D4—4721no—
1738D4—4721no—
1739D4—2361no—
1740D4—2361no—
1741D4—2362no—
1742D4—2362no—
1743D4—2362no—
1744D4—2362no—
1745D4—2361no—
1746D4—2361no—
1747D4—2361no—
1748D4—2361no—
1749D4—2362no—
1750D4—2362no—
1751D4—2362no—
1752D4#1427377312yes—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—42no—
1765C2×C4—42no—
1766C2×C4—81no—
1767C2×C4—81no—
1768C2×C4—591no—
1769C2×C4—591no—
1770C2×C4—591no—
1771C2×C4—591no—
1772C2×C4—591no—
1773C2×C4—1181no—
1774C2×C4—1181no—
1775C2×C4—1181no—
1776C2×C4—1181no—
1777C2×C4—1181no—
1778C2×C4—1181no—
1779C2×C4—1181no—
1780C2×C4—1181no—
1781C2×C4—1181no—
1782C2×C4—1181no—
1783C2×C4—4721no—
1784C2×C4—4721no—
1785C2×C4—4721no—
1786C2×C4—4721no—
1787C2×C4—4721no—
1788C2×C4—4721no—
1789C2×C4—4721no—
1790C2×C4—4721no—
1791C2×C4—4721no—
1792C2×C4—4721no—
1793C2×C4—2361no—
1794C2×C4—2361no—
1795C2×C4—2362no—
1796C2×C4—2362no—
1797C2×C4—2362no—
1798C2×C4—2362no—
1799C2×C4—2362no—
1800C2×C4—2361no—
1801C2×C4—2362no—
1802C2×C4C2×D4×D5911yescharacteristic
1803C2×C4C2×D4×D5911yescharacteristic
1804C2×C4C2×D4×D5911yescharacteristic
1805C2×C4C2×D4×D5911yescharacteristic
1806C2×C4C24×D5911yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—1181no—
1812C8—1181no—
1813C8—1181no—
1814C8—1181no—
1815C22—21no—
1816C22—21no—
1817C22—22no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—41no—
1823C22—41no—
1824C22—1181no—
1825C22—1181no—
1826C22—1181no—
1827C22—1182no—
1828C22—1181no—
1829C22—1181no—
1830C22—1181no—
1831C22—1181no—
1832C22—1181no—
1833C22—1181no—
1834C22—9442no—
1835C22—9442no—
1836C22—4724no—
1837C22—4722no—
1838C22—2361no—
1839C22—2361no—
1840C22—2361no—
1841C22—2361no—
1842C22—2361no—
1843C22—2361no—
1844C22—2361no—
1845C22—2361no—
1846C22—2361no—
1847C22—2361no—
1848C22—2361no—
1849C22C22×D4×D5911yescharacteristic
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—21no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—1181no—
1862C4—1181no—
1863C4—1181no—
1864C4—1181no—
1865C4—1181no—
1866C4—2361no—
1867C4—2361no—
1868C4—2361no—
1869C4—2361no—
1870C4H(5,𝔽2)×D5911yescharacteristic
1871C4C2×#1427377311yescharacteristic
1872C2—41no—
1873C2—41no—
1874C2—42no—
1875C2—4721no—
1876C2—4721no—
1877C2—4721no—
1878C2—2361no—
1879C2—2361no—
1880C2—2361no—
1881C2—2362no—
1882C2#2143772611yescharacteristic
1883C2#2143886611yescharacteristic
1884C2#2143886911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3315C2
socleC22×C59C23×D4
hypercenter#3315D59
hypocenterC59#61635
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3315

Complements

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

NH ≅ G/Ntype
1. #21438357C2semidirect
2. #21437735C2semidirect
3. #21436191C2semidirect
4. #21436073C2semidirect
5. #21436070C2semidirect
6. #21435947C2semidirect
7. #21435944C2semidirect
8. #21435928C2semidirect
9. #21435925C2semidirect
10. #21435822C2semidirect
11. #21435821C2semidirect
12. #21435815C2semidirect
13. #21435811C2semidirect
14. #21435641C2semidirect
15. #21435638C2semidirect
16. #21435628C2semidirect
17. #21435625C2semidirect
18. #21435178C2semidirect
19. #21435158C2semidirect
20. #21434983C2semidirect
21. #21434979C2semidirect
22. #21434891C2semidirect
23. #21434890C2semidirect
24. #21434347C2semidirect
25. #21434341C2semidirect
26. #21433404C2semidirect
27. #21433402C2semidirect
28. #21433317C2semidirect
29. #21433316C2semidirect
30. #21433147C2semidirect
31. C59×#3315C2semidirect
34. C2×#14273755C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273750C22semidirect
37. C2×#14273750C22semidirect
38. C2×#14273749C22semidirect
39. C2×#14273748C22semidirect
40. C2×#14273747C22semidirect
41. C2×#14273747C22semidirect
45. #16838100C22semidirect
47. #16838096C22semidirect
48. #16838090C22semidirect
49. #16838074C22semidirect
50. #16838073C22semidirect
53. #16838054C22semidirect
54. #16838054C22semidirect
64. #16838010C22semidirect
65. #16838008C22semidirect
77. #16837915C22semidirect
78. #16837914C22semidirect
83. #16837795C22semidirect
84. #16837791C22semidirect
85. #16837780C22semidirect
86. #16837776C22semidirect
87. #16837769C22semidirect
88. #16837759C22semidirect
89. #16837758C22semidirect
90. #16837745C22semidirect
91. #16837742C22semidirect
92. #16837742C22semidirect
93. #16837736C22semidirect
94. #16837734C22semidirect
95. #16837732C22semidirect
96. #16837729C22semidirect
97. #16837729C22semidirect
98. #16837728C22semidirect
99. #16837726C22semidirect
100. #16837705C22semidirect
101. #16837700C22semidirect
102. #16837699C22semidirect
103. #16837659C22semidirect
104. #16837649C22semidirect
105. #16837648C22semidirect
106. #16837644C22semidirect
107. #16837642C22semidirect
108. #16837641C22semidirect
109. #16837639C22semidirect
110. #16837638C22semidirect
111. #16837634C22semidirect
112. #16837634C22semidirect
113. #16837633C22semidirect
114. #16837633C22semidirect
115. #16837633C22semidirect
116. #16837632C22semidirect
117. #16837625C22semidirect
118. #16837624C22semidirect
119. #16837620C22semidirect
120. #16837620C22semidirect
121. #16837609C22semidirect
122. #16837606C22semidirect
123. #16837606C22semidirect
124. #16837606C22semidirect
125. #16837605C22semidirect
126. #16837598C22semidirect
127. #16837597C22semidirect
129. #16837567C22semidirect
130. #16837567C22semidirect
131. #16837567C22semidirect
132. #16837566C22semidirect
133. #16837565C22semidirect
135. #16837563C22semidirect
136. #16837563C22semidirect
137. #16837562C22semidirect
138. #16837562C22semidirect
139. #16837562C22semidirect
140. #16837559C22semidirect
141. #16837556C22semidirect
143. #16837554C22semidirect
144. #16837552C22semidirect
148. #16837550C22semidirect
149. #16837550C22semidirect
150. #16837550C22semidirect
151. #16837549C22semidirect
152. #16837549C22semidirect
153. #16837548C22semidirect
154. #16837547C22semidirect
155. #16837547C22semidirect
156. #16837542C22semidirect
157. #16837542C22semidirect
158. #16837538C22semidirect
161. #16837537C22semidirect
162. #16837513C22semidirect
163. #16837511C22semidirect
164. #16837504C22semidirect
165. C4×#11745671C22semidirect
166. C4×#11745670C22semidirect
167. #16837484C22semidirect
168. #16837482C22semidirect
169. #16837475C22semidirect
170. #16837471C22semidirect
171. #16837470C22semidirect
172. D4×C59⋊C8C22semidirect
173. #16837467C22semidirect
174. C8×C22⋊D59C22semidirect
175. (C22⋊D59)⋊C8C22semidirect
176. #16837464C22semidirect
177. #16837462C22semidirect
178. #16837402C22semidirect
179. #16837397C22semidirect
180. #16837396C22semidirect
181. #16837395C22semidirect
182. C2×#14273647C22semidirect
183. #102×D59C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C22⋊C8×D59C22semidirect
188. C59×#552C22semidirect
190. C59×#491C22semidirect
191. C59×#485C22semidirect
192. C59×#484C22semidirect
193. C59×#478C22semidirect
194. C59×#470C22semidirect
195. C59×#467C22semidirect
196. C59×#462C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C59×#416C22semidirect
933. #3315D59semidirect
991. #552C2×D59semidirect
1032. #491C2×D59semidirect
1038. #485C2×D59semidirect
1040. #484C2×D59semidirect
1050. #478C2×D59semidirect
1052. #470C2×D59semidirect
1058. #467C2×D59semidirect
1072. #462C2×D59semidirect
1091. #452C2×D59semidirect
1092. #452C2×D59semidirect
1118. #440C2×D59semidirect
1126. #435C2×D59semidirect
1134. #417C2×D59semidirect
1138. #416C2×D59semidirect
1145. C59#61635semidirect

Maximal subgroups

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

subgroupindex
#214383572
#214377352
#214361912
#214360732
#214360702
#214359472
#214359442
#214359282
#214359252
#214358222
#214358212
#214358152
#214358112
#214356412
#214356382
#214356282
#214356252
#214351782
#214351582
#214349832
#214349792
#214348912
#214348902
#214343472
#214343412
#214334042
#214334022
#214333172
#214333162
#214331472
C59×#33152
#6163559