Finite Group Databasebeta

← #29482223

Subgroups — #29482223

Order 15104.

1902 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438657C211yesmaximal, characteristic, complemented
2#21438126C211yesmaximal, characteristic, complemented
3#21437121C211yesmaximal, characteristic, complemented
4#21437113C211yesmaximal, characteristic, complemented
5#21436929C211yesmaximal, characteristic, complemented
6#21436918C211yesmaximal, characteristic, complemented
7#21436286C211yesmaximal, characteristic, complemented
8#21436275C211yesmaximal, characteristic, complemented
9#21436266C211yesmaximal, characteristic, complemented
10#21436260C211yesmaximal, characteristic, complemented
11#21435945C211yesmaximal, characteristic, complemented
12#21435939C211yesmaximal, characteristic, complemented
13#21435791C211yesmaximal, characteristic, complemented
14#21435785C211yesmaximal, characteristic, complemented
15#21435594C211yesmaximal, characteristic, complemented
16#21435584C211yesmaximal, characteristic, complemented
17#21435579C211yesmaximal, characteristic, complemented
18#21435575C211yesmaximal, characteristic, complemented
19#21435512C211yesmaximal, characteristic, complemented
20#21435501C211yesmaximal, characteristic, complemented
21#21435409C211yesmaximal, characteristic, complemented
22#21435156C211yesmaximal, characteristic, complemented
23#21435081C211yesmaximal, characteristic, complemented
24#21434282C211yesmaximal, characteristic, complemented
25#21434277C211yesmaximal, characteristic, complemented
26#21434194C211yesmaximal, characteristic, complemented
27#21433604C211yesmaximal, characteristic, complemented
28#21433603C211yesmaximal, characteristic, complemented
29#463×D59C211yesmaximal, characteristic, complemented
30#21433230C211yesmaximal, characteristic, complemented
31C59×#3221C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic
33C2×#14273752C2211yescharacteristic
34C22×#11745671C2211yescharacteristic, complemented
35C2×SD16×D59C2211yescharacteristic
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic
38#16838153—21no—
39#16838149—21no—
40#16838126C2211yescharacteristic, complemented
41#16838121C2211yescharacteristic, complemented
42#16838116C2211yescharacteristic, complemented
43#16838108C2211yescharacteristic, complemented
44#16838105C2211yescharacteristic
45#16838099C2211yescharacteristic
46#16838097—21no—
47#16838080—21no—
48#16838079—21no—
49#16838072C2211yescharacteristic, complemented
50#16838067C2211yescharacteristic, complemented
51Q8×C22⋊D59C2211yescharacteristic, complemented
52#16838063C2211yescharacteristic, complemented
53#16838059C2211yescharacteristic, complemented
54#16838049—21no—
55#16838045C2211yescharacteristic, complemented
56#16838044—21no—
57#16838041—21no—
58#16838040C2211yescharacteristic, complemented
59#16838037C2211yescharacteristic
60#16838036C2211yescharacteristic
61#16838036C2211yescharacteristic, complemented
62#16838027—21no—
63#16838023C2211yescharacteristic, complemented
64#16838022—21no—
65#16838021C2211yescharacteristic, complemented
66#16838020—21no—
67#16838003C2211yescharacteristic, complemented
68#16837988—21no—
69#16837988—21no—
70#16837984—21no—
71#16837977C2211yescharacteristic, complemented
72#16837957C2211yescharacteristic, complemented
73#16837949C2211yescharacteristic
74#16837930C2211yescharacteristic
75#124×D59C2211yescharacteristic, complemented
76#16837910—21no—
77#121×D59—21no—
78#16837876C2211yescharacteristic, complemented
79#16837874C2211yescharacteristic, complemented
80C4×D4×D59C2211yescharacteristic
81#16837790C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837788C2211yescharacteristic, complemented
84#16837773C2211yescharacteristic, complemented
85#16837769C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837758C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837736C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic, complemented
95#16837707C2211yescharacteristic, complemented
96#16837706C2211yescharacteristic, complemented
97#16837704C2211yescharacteristic, complemented
98#16837699C2211yescharacteristic, complemented
99#16837693C2211yescharacteristic, complemented
100#16837692C2211yescharacteristic, complemented
101#16837685C2211yescharacteristic, complemented
102#16837685C2211yescharacteristic, complemented
103#16837683C2211yescharacteristic, complemented
104#16837682C2211yescharacteristic, complemented
105#16837653C2211yescharacteristic, complemented
106#16837652C2211yescharacteristic, complemented
107#16837651C2211yescharacteristic, complemented
108#16837646C2211yescharacteristic, complemented
109#16837637C2211yescharacteristic, complemented
110#16837636C2211yescharacteristic, complemented
111#16837634C2211yescharacteristic, complemented
112#16837634C2211yescharacteristic, complemented
113#16837629C2211yescharacteristic, complemented
114#16837628C2211yescharacteristic, complemented
115#16837628C2211yescharacteristic, complemented
116#16837628C2211yescharacteristic, complemented
117#16837620C2211yescharacteristic
118#16837620C2211yescharacteristic
119#16837619C2211yescharacteristic, complemented
120#16837619C2211yescharacteristic, complemented
121#16837618C2211yescharacteristic
122#16837618C2211yescharacteristic, complemented
123#16837617C2211yescharacteristic, complemented
124#16837617C2211yescharacteristic, complemented
125#16837616C2211yescharacteristic
126#16837615C2211yescharacteristic, complemented
127#16837614C2211yescharacteristic
128#16837614C2211yescharacteristic
129#16837614C2211yescharacteristic, complemented
130#16837614C2211yescharacteristic, complemented
131#16837606C2211yescharacteristic, complemented
132#16837605C2211yescharacteristic, complemented
133#16837604C2211yescharacteristic, complemented
134#16837604C2211yescharacteristic, complemented
135#16837604C2211yescharacteristic, complemented
136#16837604C2211yescharacteristic, complemented
137#16837600C2211yescharacteristic, complemented
138#16837600C2211yescharacteristic, complemented
139#16837600C2211yescharacteristic, complemented
140#16837599C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic, complemented
142#16837594C2211yescharacteristic, complemented
143#16837555C2211yescharacteristic, complemented
144#16837551C2211yescharacteristic
145#16837551C2211yescharacteristic
146#16837551C2211yescharacteristic, complemented
147#16837550C2211yescharacteristic, complemented
148#16837546C2211yescharacteristic, complemented
149#16837542C2211yescharacteristic, complemented
150#16837542C2211yescharacteristic, complemented
151#16837539C2211yescharacteristic, complemented
152#16837539C2211yescharacteristic, complemented
153#16837538C2211yescharacteristic
154#16837537C2211yescharacteristic, complemented
155#16837534C2211yescharacteristic
156#16837534C2211yescharacteristic, complemented
157#16837532C2211yescharacteristic, complemented
158#16837530C2211yescharacteristic, complemented
159#16837515C2211yescharacteristic
160#16837511C2211yescharacteristic
161#16837505C2211yescharacteristic, complemented
162#16837505C2211yescharacteristic, complemented
163#16837504C2211yescharacteristic, complemented
164#16837503C2211yescharacteristic, complemented
165#16837503C2211yescharacteristic, complemented
166#16837503C2211yescharacteristic, complemented
167C4×#11745660C2211yescharacteristic, complemented
168#16837487C2211yescharacteristic, complemented
169C4×D472C2211yescharacteristic, complemented
170D8×Dic59C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic, complemented
172#16837476C2211yescharacteristic, complemented
173#16837475C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175C8×D236C2211yescharacteristic, complemented
176(C22⋊D59)⋊C8C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837458C2211yescharacteristic, complemented
179#16837429C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181C4⋊C8×D59C2211yescharacteristic, complemented
182#16837411C2211yescharacteristic, complemented
183#16837409C2211yescharacteristic, complemented
184#16837398C2211yescharacteristic, complemented
185#16837397C2211yescharacteristic, complemented
186#103×D59C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#540C2211yescharacteristic, complemented
189C59×#536C2211yescharacteristic, complemented
190C59×#496C2211yescharacteristic, complemented
191C59×#492C2211yescharacteristic, complemented
192C59×#491C2211yescharacteristic, complemented
193C59×#488C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic, complemented
197C59×#461C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic, complemented
200C59×#448C2211yescharacteristic, complemented
201C59×#448C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745687—21no—
206C2×Q8×D59C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C2×D4×D59—21no—
210C2×D4×D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215C22×C4×D59—21no—
216#14273754—42no—
217#14273752—42no—
218C2×#11745660C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745671—42no—
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229SD16×D59—42no—
230SD16×D59—42no—
231C2×D472C2311yescharacteristic
232C2×D472C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237D8×D59—42no—
238C2×#11745664C2311yescharacteristic
239C2×#11745659C2311yescharacteristic
240C22×C59⋊C8C2311yescharacteristic
241C2×C8×D59C2311yescharacteristic
242C2×C8×D59C2311yescharacteristic
243C2×C8×D59C2311yescharacteristic
244#14273727C2311yescharacteristic
245#14273726—21no—
246#14273726C2311yescharacteristic
247#14273725—21no—
248#14273725C2311yescharacteristic
249#14273723C2311yescharacteristic
250#14273723C2311yescharacteristic
251#14273722—21no—
252#14273722—21no—
253#14273722—21no—
254#14273722—21no—
255#14273722D411yescharacteristic
256#14273720—21no—
257#14273720—21no—
258#14273720—21no—
259#14273720—21no—
260#14273720D411yescharacteristic
261#14273718—21no—
262#14273718C2311yescharacteristic
263#14273717D411yescharacteristic
264#14273716—21no—
265#14273716C2311yescharacteristic
266#14273716C2311yescharacteristic
267#14273715C2311yescharacteristic
268#14273714—21no—
269#14273714—21no—
270#14273714C2311yescharacteristic
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273713D411yescharacteristic
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712D411yescharacteristic
282#14273711—21no—
283#14273710—21no—
284#14273710—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709D411yescharacteristic
289#14273708—21no—
290#14273707—21no—
291#14273707—21no—
292#14273707—21no—
293#14273706—21no—
294#14273706—21no—
295#14273706C2311yescharacteristic
296#14273705—21no—
297#14273705—21no—
298#14273705—21no—
299#14273705—21no—
300#14273705—21no—
301#14273705—21no—
302#14273705—21no—
303#14273705D411yescharacteristic
304#14273704—21no—
305#14273704—21no—
306#14273703—21no—
307#14273703—21no—
308#14273703C2311yescharacteristic
309#14273703C2311yescharacteristic
310#14273703C2311yescharacteristic
311#14273702—21no—
312#14273702C2311yescharacteristic
313#14273702C2311yescharacteristic
314#14273701—21no—
315#14273701—21no—
316#14273701C2311yescharacteristic
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700D411yescharacteristic
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273698—21no—
328#14273698—21no—
329#14273698—21no—
330#14273698—21no—
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342Q8×Dic59C2311yescharacteristic
343Q8×Dic59C2311yescharacteristic
344Q8×Dic59C2311yescharacteristic
345C4×Dic118C2311yescharacteristic
346C4×Dic118C2311yescharacteristic
347#14273692—21no—
348C4×D236C2311yescharacteristic
349C4×D236C2311yescharacteristic
350C4×D236C2311yescharacteristic
351C4×D236C2311yescharacteristic
352C4×D236C2311yescharacteristic
353C4×D236C2311yescharacteristic
354D4×Dic59C2311yescharacteristic
355D4×Dic59C2311yescharacteristic
356D4×Dic59C2311yescharacteristic
357#14273689—21no—
358#14273689—21no—
359#14273689—21no—
360#14273689—21no—
361#14273689C2311yescharacteristic
362#14273689C2311yescharacteristic
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59C2311yescharacteristic
370C4×C22⋊D59C2311yescharacteristic
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374#14273686C2311yescharacteristic
375#14273685—21no—
376#14273685—21no—
377#14273685C2311yescharacteristic
378#14273684C2311yescharacteristic
379#14273683—21no—
380#14273683—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59C2311yescharacteristic
383C2×(C2×D59)⋊C4—21no—
384C2×(C2×D59)⋊C4—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C42×D59C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404C4⋊(C59⋊C8)C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439#14273637C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C22×Q8×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452C4⋊Q8×C59C2311yescharacteristic
453#127×C59C2311yescharacteristic
454#125×C59C2311yescharacteristic
455#124×C59C2311yescharacteristic
456#124×C59C2311yescharacteristic
457#123×C59—21no—
458#123×C59—21no—
459#123×C59—21no—
460#123×C59—21no—
461C22⋊Q8×C59—21no—
462C22⋊Q8×C59—21no—
463#121×C59—21no—
464#121×C59—21no—
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469#117×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—41no—
489#41×C59—41no—
490C2×Q8×C59—21no—
491C2×Q8×C59—41no—
492C2×Q8×C59—41no—
493C2×Q8×C59C2411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×Q8×C59C2411yescharacteristic
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59C2411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59C2411yescharacteristic
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
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
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525#11745689—41no—
526#11745689—41no—
527Q8×D59—41no—
528Q8×D59—41no—
529Q8×D59—41no—
530Q8×D59—41no—
531#11745687—82no—
532D4×D59—22no—
533D4×D59—22no—
534D4×D59—41no—
535D4×D59—41no—
536D4×D59—41no—
537D4×D59—41no—
538D4×D59—82no—
539D4×D59—82no—
540D4×D59—82no—
541#11745685—82no—
542C2×D236—22no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236—41no—
548C2×D236C2×D411yescharacteristic
549C2×D236C2411yescharacteristic
550C2×D236C2411yescharacteristic
551C2×D236C2411yescharacteristic
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—82no—
564C2×C4×D59C2×D411yescharacteristic
565C2×C4×D59C2×D411yescharacteristic
566C2×C4×D59C2411yescharacteristic
567C2×C4×D59C2411yescharacteristic
568C2×Dic118—21no—
569C2×Dic118—21no—
570C2×Dic118—21no—
571C2×Dic118—21no—
572C2×Dic118C2×D411yescharacteristic
573C2×Dic118C2411yescharacteristic
574SD16×C59—41no—
575SD16×C59—41no—
576SD16×C59—41no—
577SD16×C59—41no—
578SD16×C59—41no—
579SD16×C59—41no—
580D8×C59—41no—
581D8×C59—41no—
582C2×C8×C59C2411yescharacteristic
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C4⋊C4×C59—21no—
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59C2×D411yescharacteristic
593C4⋊C4×C59C2×D411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59C2×D411yescharacteristic
605C22⋊C4×C59C2×D411yescharacteristic
606C42×C59C2411yescharacteristic
607C42×C59C2411yescharacteristic
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59C2×D411yescharacteristic
619C22⋊Dic59C2×D411yescharacteristic
620#11745671—22no—
621#11745671—22no—
622#11745671—22no—
623#11745671—41no—
624#11745671—41no—
625#11745671—41no—
626#11745670—41no—
627#11745670—41no—
628#11745669—22no—
629#11745669—41no—
630#11745669—41no—
631#11745669—41no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4C2×D411yescharacteristic
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59C2×D411yescharacteristic
664C4⋊Dic59C2×D411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684Dic59⋊C4C2×D411yescharacteristic
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2×D411yescharacteristic
693C4×Dic59C2411yescharacteristic
694C4×Dic59C2411yescharacteristic
695#11745664—41no—
696C2×C59⋊C8—41no—
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701D472—22no—
702D472—41no—
703#11745660—22no—
704#11745660—41no—
705#11745659—41no—
706C8×D59—41no—
707C8×D59—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59C22×D411yescharacteristic
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—42no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—42no—
720C22×D59—42no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59C22×D411yescharacteristic
729C22×D59C22×D411yescharacteristic
730Q8×C59—21no—
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734Q8×C59—21no—
735Q8×C59—21no—
736Q8×C59—81no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—81no—
744D4×C59—81no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—81no—
756C2×C4×C59—81no—
757C2×C4×C59—81no—
758C2×C4×C59—81no—
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C2511yescharacteristic
765C22⋊D59—22no—
766C22⋊D59—41no—
767C22⋊D59—42no—
768C22⋊D59—42no—
769C22⋊D59—42no—
770C22⋊D59—42no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—42no—
784C2×Dic59—81no—
785C2×Dic59—81no—
786C2×Dic59C22×D411yescharacteristic
787C2×Dic59C22×D411yescharacteristic
788C2×Dic59C22×D411yescharacteristic
789C2×Dic59C22×D411yescharacteristic
790C2×Dic59C22×D411yescharacteristic
791C2×Dic59C22×D411yescharacteristic
792D236—22no—
793D236—21no—
794D236—21no—
795D236—21no—
796D236—21no—
797D236—21no—
798D236—42no—
799D236—42no—
800D236—81no—
801D236—81no—
802D236H(5,𝔽2)12yes—
803C4×D59—22no—
804C4×D59—21no—
805C4×D59—21no—
806C4×D59—21no—
807C4×D59—21no—
808C4×D59—41no—
809C4×D59—42no—
810C4×D59—81no—
811C4×D59—81no—
812C4×D59—81no—
813C4×D59—81no—
814C4×D59—81no—
815C4×D59—81no—
816C4×D59—81no—
817C4×D59—81no—
818C4×D59—81no—
819C4×D59—81no—
820Dic118—21no—
821Dic118—21no—
822Dic118—41no—
823Dic118—81no—
824Dic118—81no—
825Dic118—81no—
826Dic118—81no—
827C8×C59—21no—
828C8×C59—21no—
829C8×C59—21no—
830C8×C59—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#62016—591nomaximal, Sylow
836C22×C59—21no—
837C22×C59—21no—
838C22×C59—21no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59C23×D411yescharacteristic
849C2×D59—21no—
850C2×D59—21no—
851C2×D59—21no—
852C2×D59—21no—
853C2×D59—22no—
854C2×D59—21no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—84no—
864C2×D59—162no—
865C2×D59—162no—
866C2×D59—162no—
867C2×D59#57712yes—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—21no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59C2×H(5,𝔽2)11yescharacteristic
879C4×C59#58511yescharacteristic
880Dic59—21no—
881Dic59—21no—
882Dic59—21no—
883Dic59—21no—
884Dic59—21no—
885Dic59—21no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891#3561—591no—
892#3519—591no—
893#3397—591no—
894#3397—591no—
895#3376—591no—
896#3376—591no—
897#3321—591no—
898#3321—591no—
899#3320—591no—
900#3320—591no—
901#3297—591no—
902#3297—591no—
903D4×SD16—591no—
904D4×SD16—591no—
905#3265—591no—
906#3265—591no—
907#3264—591no—
908#3264—591no—
909#3257—591no—
910#3257—591no—
911#3246—591no—
912#3221—591no—
913#3221D5911yescharacteristic, complemented
914#3213—591no—
915#3118—591no—
916#3118—591no—
917#3110—591no—
918#3042—591no—
919#3042—591no—
920C2×#463—591no—
921#2992—591no—
922C2×C59—41no—
923C2×C59—81no—
924C2×C59—81no—
925C2×C59—81no—
926C2×C59#348811yescharacteristic
927C2×C59C2×#57711yescharacteristic
928C2×C59#358511yescharacteristic
929D59—22no—
930D59—41no—
931D59—42no—
932D59—81no—
933D59—81no—
934C2×AGL(1,ℤ/8)—591no—
935C2×AGL(1,ℤ/8)—591no—
936C22×SD16—591no—
937C22×SD16—591no—
938C22×SD16—591no—
939C22×D8—591no—
940#563—1181no—
941#562—1181no—
942#556—591no—
943#556—591no—
944#555—591no—
945#554—591no—
946#553—591no—
947#553—591no—
948#553—1181no—
949#551—1181no—
950#551—1181no—
951#550—591no—
952D4×Q8—591no—
953D4×Q8—591no—
954#548—591no—
955#548—591no—
956#546—591no—
957#546—591no—
958#546—1181no—
959#546—1181no—
960#546—1181no—
961D42—591no—
962D42—591no—
963D42—591no—
964#543—1181no—
965#542—591no—
966#542—591no—
967#542—1181no—
968#542—1181no—
969#540—591no—
970#540C2×D5911yescharacteristic, complemented
971#538—1181no—
972#538—1181no—
973#538—1181no—
974#536—591no—
975#536C2×D5911yescharacteristic, complemented
976#533—591no—
977#532—591no—
978#529—591no—
979C2×#124—591no—
980#525—1181no—
981C2×#121—1181no—
982#518—591no—
983#518—591no—
984C2×C4×D4—591no—
985#496—591no—
986#496—591no—
987#496—591no—
988#496C2×D5911yescharacteristic, complemented
989#492—591no—
990#492C2×D5911yescharacteristic, complemented
991#491—591no—
992#491C2×D5911yescharacteristic, complemented
993#489—591no—
994#489—591no—
995#488—591no—
996#488C2×D5911yescharacteristic, complemented
997#485—591no—
998#485—591no—
999#484—591no—
1000#484—591no—
1001#482—591no—
1002#482—591no—
1003#479—591no—
1004#479—591no—
1005#478—591no—
1006#478—591no—
1007#476—591no—
1008#476—591no—
1009#475—591no—
1010#475—591no—
1011#474—591no—
1012#474—591no—
1013#469—591no—
1014#469—591no—
1015#468—591no—
1016#468—591no—
1017#466—591no—
1018#466—591no—
1019#465—591no—
1020#465—591no—
1021#465—591no—
1022#465—591no—
1023#465—591no—
1024#465—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463—591no—
1030#463—591no—
1031#463—591no—
1032#463—591no—
1033#463—591no—
1034#463—591no—
1035#463—591no—
1036#463—591no—
1037#463—591no—
1038#463—591no—
1039#463C2×D5911yescharacteristic, complemented
1040#463C2×D5911yescharacteristic, complemented
1041#461—591no—
1042#461—591no—
1043#461—591no—
1044#461—591no—
1045#461—591no—
1046#461—591no—
1047#461C2×D5911yescharacteristic, complemented
1048#461C2×D5911yescharacteristic, complemented
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460—591no—
1053#459—591no—
1054#459—591no—
1055#450—591no—
1056#450—591no—
1057#450—591no—
1058#450—591no—
1059#449—591no—
1060#449—591no—
1061#449C2×D5911yescharacteristic, complemented
1062#449C2×D5911yescharacteristic, complemented
1063#448—591no—
1064#448—591no—
1065#448—591no—
1066#448—591no—
1067#448C2×D5911yescharacteristic, complemented
1068#448C2×D5911yescharacteristic, complemented
1069#447—591no—
1070#447—591no—
1071#447—591no—
1072#447—591no—
1073#446—591no—
1074#446—591no—
1075#442—591no—
1076#442—591no—
1077#440—591no—
1078#440—591no—
1079#440—591no—
1080#440—591no—
1081#440—591no—
1082#440—591no—
1083C4×SD16—591no—
1084C4×SD16—591no—
1085C4×D8—591no—
1086C4×D8—591no—
1087#435—591no—
1088#435—591no—
1089#435—591no—
1090#435—591no—
1091C8×D4—591no—
1092C8×D4—591no—
1093#433—591no—
1094#433C2×D5911yescharacteristic, complemented
1095#432—591no—
1096#424—591no—
1097#424—591no—
1098C2×C4⋊C8—591no—
1099#419—591no—
1100#419—591no—
1101#416—591no—
1102#416—591no—
1103C2×#103—591no—
1104C2×#102—591no—
1105C59#6201611yescharacteristic, complemented, Sylow
1106C2×#41—591no—
1107C2×#41—1181no—
1108C2×#41—1181no—
1109C2×#41C22×D5911yescharacteristic
1110C22×Q8—591no—
1111C22×Q8—591no—
1112C22×Q8C22×D5911yescharacteristic
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—1181no—
1118C22×D4—1181no—
1119C22×D4—1181no—
1120C23×C4—1181no—
1121AGL(1,ℤ/8)—2362no—
1122AGL(1,ℤ/8)—2362no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16—591no—
1128C2×SD16—591no—
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—2362no—
1134C2×SD16—2362no—
1135C2×SD16—2362no—
1136C2×SD16C22×D5911yescharacteristic
1137C2×SD16C22×D5911yescharacteristic
1138C2×SD16C22×D5911yescharacteristic
1139C2×SD16C22×D5911yescharacteristic
1140C2×SD16C22×D5911yescharacteristic
1141C2×SD16C22×D5911yescharacteristic
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8—591no—
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—2362no—
1149C2×D8C22×D5911yescharacteristic
1150C2×D8C22×D5911yescharacteristic
1151C2×M16—591no—
1152C2×M16—591no—
1153C22×C8—591no—
1154C22×C8—591no—
1155C22×C8—591no—
1156C22×C8—591no—
1157C4⋊Q8—591no—
1158C4⋊Q8—591no—
1159C4⋊Q8—591no—
1160C4⋊Q8—1181no—
1161C4⋊Q8—1181no—
1162C4⋊Q8C22×D5911yescharacteristic
1163C4⋊Q8C22×D5911yescharacteristic
1164#127—591no—
1165#127—591no—
1166#127C22×D5911yescharacteristic
1167#126—591no—
1168#126—591no—
1169#126—1181no—
1170#126—1181no—
1171#126—1181no—
1172#126—1181no—
1173#126—1181no—
1174#126—1181no—
1175#126—1181no—
1176#126—1181no—
1177#125—591no—
1178#125—591no—
1179#125—1181no—
1180#125C22×D5911yescharacteristic
1181#124—591no—
1182#124—591no—
1183#124—591no—
1184#124—591no—
1185#124—591no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124—1181no—
1192#124—1181no—
1193#124—1181no—
1194#124—1181no—
1195#124C22×D5911yescharacteristic
1196#124C22×D5911yescharacteristic
1197#123—21no—
1198#123—21no—
1199#123—21no—
1200#123—21no—
1201#123—591no—
1202#123—591no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213C22⋊Q8—21no—
1214C22⋊Q8—21no—
1215C22⋊Q8—591no—
1216C22⋊Q8—591no—
1217C22⋊Q8—591no—
1218C22⋊Q8—591no—
1219C22⋊Q8—591no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8—1181no—
1225C22⋊Q8—1181no—
1226C22⋊Q8—1181no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236#121—21no—
1237#121—21no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—591no—
1242#121—591no—
1243#121—591no—
1244#121—591no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121C22×D5911yescharacteristic
1262#121C22×D5911yescharacteristic
1263#120—1181no—
1264#120—1181no—
1265#120—1181no—
1266#120—1181no—
1267#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271C4×Q8—591no—
1272C4×Q8—591no—
1273C4×Q8—591no—
1274C4×Q8—591no—
1275C4×Q8—591no—
1276C4×Q8—1181no—
1277C4×D4—591no—
1278C4×D4—591no—
1279C4×D4—591no—
1280C4×D4—591no—
1281C4×D4—591no—
1282C4×D4—591no—
1283C4×D4—591no—
1284C4×D4—591no—
1285C4×D4—591no—
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4C22×D5911yescharacteristic
1304C4×D4C22×D5911yescharacteristic
1305#117—591no—
1306#117—591no—
1307#117—591no—
1308#117—1181no—
1309#117—1181no—
1310#117—1181no—
1311#117—1181no—
1312#117C22×D5911yescharacteristic
1313C2×C4⋊C4—591no—
1314C2×C4⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C22⋊C4—1181no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C22⋊C4—1181no—
1322C2×C22⋊C4—1181no—
1323C2×C22⋊C4—1181no—
1324C2×C42—591no—
1325#107—591no—
1326#107—591no—
1327#107—591no—
1328#107—591no—
1329#106—591no—
1330#106—591no—
1331#106—591no—
1332#106—591no—
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8—591no—
1340C4⋊C8—591no—
1341C4⋊C8C22×D5911yescharacteristic
1342C4⋊C8C22×D5911yescharacteristic
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103C22×D5911yescharacteristic
1354#103C22×D5911yescharacteristic
1355#103C22×D5911yescharacteristic
1356#103C22×D5911yescharacteristic
1357#103C22×D5911yescharacteristic
1358#103C22×D5911yescharacteristic
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102C22×D5911yescharacteristic
1374#102C22×D5911yescharacteristic
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8—591no—
1379C22⋊C8C22×D5911yescharacteristic
1380C22⋊C8C22×D5911yescharacteristic
1381#97—591no—
1382#97—591no—
1383#97—591no—
1384#97C22×D5911yescharacteristic
1385C4×C8—591no—
1386C4×C8C22×D5911yescharacteristic
1387C24—1181no—
1388C24—1181no—
1389C24—1181no—
1390C24—1181no—
1391#41—41no—
1392#41—41no—
1393#41—4722no—
1394#41—4722no—
1395#41—2361no—
1396#41—2361no—
1397C2×Q8—21no—
1398C2×Q8—41no—
1399C2×Q8—41no—
1400C2×Q8—591no—
1401C2×Q8—591no—
1402C2×Q8—1181no—
1403C2×Q8—1181no—
1404C2×Q8—1181no—
1405C2×Q8—1181no—
1406C2×Q8—2361no—
1407C2×Q8—2361no—
1408C2×Q8—2361no—
1409C2×Q8—2361no—
1410C2×Q8C23×D5911yescharacteristic
1411C2×Q8C23×D5911yescharacteristic
1412C2×Q8C23×D5911yescharacteristic
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—591no—
1419C2×D4—591no—
1420C2×D4—591no—
1421C2×D4—591no—
1422C2×D4—591no—
1423C2×D4—591no—
1424C2×D4—1182no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1182no—
1436C2×D4—1182no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—4722no—
1443C2×D4—4722no—
1444C2×D4—4722no—
1445C2×D4—2361no—
1446C2×D4—2361no—
1447C2×D4—2361no—
1448C2×D4—2361no—
1449C2×D4—2361no—
1450C2×D4C23×D5911yescharacteristic
1451C2×D4C23×D5911yescharacteristic
1452C2×D4C23×D5911yescharacteristic
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—591no—
1458C22×C4—591no—
1459C22×C4—591no—
1460C22×C4—591no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—4722no—
1476C22×C4C23×D5911yescharacteristic
1477SD16—41no—
1478SD16—41no—
1479SD16—41no—
1480SD16—41no—
1481SD16—41no—
1482SD16—41no—
1483SD16—1182no—
1484SD16—1182no—
1485SD16—1182no—
1486SD16—1182no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492SD16—2361no—
1493D8—41no—
1494D8—41no—
1495D8—1182no—
1496D8—1182no—
1497D8—2361no—
1498D8—2361no—
1499D8—2361no—
1500D8—2361no—
1501M16—2361no—
1502M16—2361no—
1503C2×C8—591no—
1504C2×C8—591no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—2361no—
1508C2×C8—2361no—
1509C2×C8—2361no—
1510C2×C8—2361no—
1511C2×C8C23×D5911yescharacteristic
1512C2×C8C23×D5911yescharacteristic
1513C2×C8C23×D5911yescharacteristic
1514C2×C8C23×D5911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—591no—
1522C4⋊C4—591no—
1523C4⋊C4—591no—
1524C4⋊C4—591no—
1525C4⋊C4—591no—
1526C4⋊C4—591no—
1527C4⋊C4—591no—
1528C4⋊C4—591no—
1529C4⋊C4—591no—
1530C4⋊C4—591no—
1531C4⋊C4—591no—
1532C4⋊C4—591no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4D4×D5911yescharacteristic
1549C4⋊C4D4×D5911yescharacteristic
1550C4⋊C4C23×D5911yescharacteristic
1551C4⋊C4C23×D5911yescharacteristic
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—591no—
1561C22⋊C4—591no—
1562C22⋊C4—591no—
1563C22⋊C4—591no—
1564C22⋊C4—591no—
1565C22⋊C4—591no—
1566C22⋊C4—591no—
1567C22⋊C4—591no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4D4×D5911yescharacteristic
1599C22⋊C4D4×D5911yescharacteristic
1600C42—591no—
1601C42—591no—
1602C42—591no—
1603C42—591no—
1604C42—1181no—
1605C42—1181no—
1606C42—1181no—
1607C42—1181no—
1608C42—1181no—
1609C42—1181no—
1610C42C23×D5911yescharacteristic
1611C42C23×D5911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—591no—
1616C23—591no—
1617C23—1181no—
1618C23—1181no—
1619C23—1181no—
1620C23—4721no—
1621C23—4721no—
1622C23—4721no—
1623C23—4721no—
1624C23—4721no—
1625C23—4721no—
1626C23—4721no—
1627C23—2362no—
1628C23—2362no—
1629C23—2362no—
1630C23—2362no—
1631C23—2362no—
1632C23C2×D4×D5911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—21no—
1639Q8—81no—
1640Q8—1181no—
1641Q8—1181no—
1642Q8—4721no—
1643Q8—4721no—
1644Q8—4721no—
1645Q8—4721no—
1646Q8—2361no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—592no—
1659D4—1182no—
1660D4—1182no—
1661D4—1181no—
1662D4—1181no—
1663D4—1181no—
1664D4—1181no—
1665D4—1181no—
1666D4—4721no—
1667D4—4721no—
1668D4—4721no—
1669D4—4721no—
1670D4—4721no—
1671D4—4721no—
1672D4—4721no—
1673D4—4721no—
1674D4—4721no—
1675D4—2362no—
1676D4—2362no—
1677D4—2361no—
1678D4—2362no—
1679D4—2362no—
1680D4—2362no—
1681D4—2362no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—591no—
1694C2×C4—591no—
1695C2×C4—591no—
1696C2×C4—591no—
1697C2×C4—591no—
1698C2×C4—591no—
1699C2×C4—1182no—
1700C2×C4—1181no—
1701C2×C4—1181no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—1181no—
1706C2×C4—1181no—
1707C2×C4—1181no—
1708C2×C4—1181no—
1709C2×C4—4721no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—4721no—
1714C2×C4—4721no—
1715C2×C4—4721no—
1716C2×C4—4721no—
1717C2×C4—4721no—
1718C2×C4—4721no—
1719C2×C4—4721no—
1720C2×C4—4721no—
1721C2×C4—2361no—
1722C2×C4—2362no—
1723C2×C4—2362no—
1724C2×C4C2×D4×D5911yescharacteristic
1725C2×C4C2×D4×D5911yescharacteristic
1726C2×C4C2×D4×D5911yescharacteristic
1727C2×C4C2×D4×D5911yescharacteristic
1728C2×C4C2×D4×D5911yescharacteristic
1729C2×C4C24×D5911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C8—1181no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—592no—
1751C22—1181no—
1752C22—1181no—
1753C22—1181no—
1754C22—1182no—
1755C22—1181no—
1756C22—1181no—
1757C22—9442no—
1758C22—9442no—
1759C22—9442no—
1760C22—4724no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22—2361no—
1769C22C22×D4×D5911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—1181no—
1781C4—1181no—
1782C4—1181no—
1783C4—1181no—
1784C4—1181no—
1785C4—1181no—
1786C4—2361no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4H(5,𝔽2)×D5911yescharacteristic
1792C4#1683823711yescharacteristic
1793C2—41no—
1794C2—81no—
1795C2—81no—
1796C2—81no—
1797C2—1182no—
1798C2—4721no—
1799C2—4721no—
1800C2—2361no—
1801C2—2362no—
1802C2#2143776311yescharacteristic
1803C2#577×D5911yescharacteristic
1804C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3221C2
socleC22×C59C23×D4
hypercenter#3221D59
hypocenterC59#62016
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3221

Complements

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

NH ≅ G/Ntype
1. #21438657C2semidirect
2. #21438126C2semidirect
3. #21437121C2semidirect
4. #21437113C2semidirect
5. #21436929C2semidirect
6. #21436918C2semidirect
7. #21436286C2semidirect
8. #21436275C2semidirect
9. #21436266C2semidirect
10. #21436260C2semidirect
11. #21435945C2semidirect
12. #21435939C2semidirect
13. #21435791C2semidirect
14. #21435785C2semidirect
15. #21435594C2semidirect
16. #21435584C2semidirect
17. #21435579C2semidirect
18. #21435575C2semidirect
19. #21435512C2semidirect
20. #21435501C2semidirect
21. #21435409C2semidirect
22. #21435156C2semidirect
23. #21435081C2semidirect
24. #21434282C2semidirect
25. #21434277C2semidirect
26. #21434194C2semidirect
27. #21433604C2semidirect
28. #21433603C2semidirect
29. #463×D59C2semidirect
30. #21433230C2semidirect
31. C59×#3221C2semidirect
34. C22×#11745671C22semidirect
36. C2×SD16×D59C22semidirect
40. #16838126C22semidirect
41. #16838121C22semidirect
42. #16838116C22semidirect
43. #16838108C22semidirect
49. #16838072C22semidirect
50. #16838067C22semidirect
51. Q8×C22⋊D59C22semidirect
52. #16838063C22semidirect
53. #16838059C22semidirect
55. #16838045C22semidirect
58. #16838040C22semidirect
61. #16838036C22semidirect
63. #16838023C22semidirect
65. #16838021C22semidirect
67. #16838003C22semidirect
71. #16837977C22semidirect
72. #16837957C22semidirect
75. #124×D59C22semidirect
78. #16837876C22semidirect
79. #16837874C22semidirect
81. #16837790C22semidirect
82. #16837788C22semidirect
83. #16837788C22semidirect
84. #16837773C22semidirect
85. #16837769C22semidirect
86. #16837763C22semidirect
87. #16837760C22semidirect
88. #16837758C22semidirect
89. #16837744C22semidirect
90. #16837742C22semidirect
91. #16837736C22semidirect
92. #16837736C22semidirect
93. #16837727C22semidirect
94. #16837724C22semidirect
95. #16837707C22semidirect
96. #16837706C22semidirect
97. #16837704C22semidirect
98. #16837699C22semidirect
99. #16837693C22semidirect
100. #16837692C22semidirect
101. #16837685C22semidirect
102. #16837685C22semidirect
103. #16837683C22semidirect
104. #16837682C22semidirect
105. #16837653C22semidirect
106. #16837652C22semidirect
107. #16837651C22semidirect
108. #16837646C22semidirect
109. #16837637C22semidirect
110. #16837636C22semidirect
111. #16837634C22semidirect
112. #16837634C22semidirect
113. #16837629C22semidirect
114. #16837628C22semidirect
115. #16837628C22semidirect
116. #16837628C22semidirect
119. #16837619C22semidirect
120. #16837619C22semidirect
122. #16837618C22semidirect
123. #16837617C22semidirect
124. #16837617C22semidirect
126. #16837615C22semidirect
129. #16837614C22semidirect
130. #16837614C22semidirect
131. #16837606C22semidirect
132. #16837605C22semidirect
133. #16837604C22semidirect
134. #16837604C22semidirect
135. #16837604C22semidirect
136. #16837604C22semidirect
137. #16837600C22semidirect
138. #16837600C22semidirect
139. #16837600C22semidirect
140. #16837599C22semidirect
141. #16837595C22semidirect
142. #16837594C22semidirect
143. #16837555C22semidirect
146. #16837551C22semidirect
147. #16837550C22semidirect
148. #16837546C22semidirect
149. #16837542C22semidirect
150. #16837542C22semidirect
151. #16837539C22semidirect
152. #16837539C22semidirect
154. #16837537C22semidirect
156. #16837534C22semidirect
157. #16837532C22semidirect
158. #16837530C22semidirect
161. #16837505C22semidirect
162. #16837505C22semidirect
163. #16837504C22semidirect
164. #16837503C22semidirect
165. #16837503C22semidirect
166. #16837503C22semidirect
167. C4×#11745660C22semidirect
168. #16837487C22semidirect
169. C4×D472C22semidirect
170. D8×Dic59C22semidirect
171. #16837476C22semidirect
172. #16837476C22semidirect
173. #16837475C22semidirect
174. #16837470C22semidirect
175. C8×D236C22semidirect
176. (C22⋊D59)⋊C8C22semidirect
177. #16837462C22semidirect
178. #16837458C22semidirect
179. #16837429C22semidirect
180. #16837427C22semidirect
181. C4⋊C8×D59C22semidirect
182. #16837411C22semidirect
183. #16837409C22semidirect
184. #16837398C22semidirect
185. #16837397C22semidirect
186. #103×D59C22semidirect
187. #102×D59C22semidirect
188. C59×#540C22semidirect
189. C59×#536C22semidirect
190. C59×#496C22semidirect
191. C59×#492C22semidirect
192. C59×#491C22semidirect
193. C59×#488C22semidirect
194. C59×#463C22semidirect
195. C59×#463C22semidirect
196. C59×#461C22semidirect
197. C59×#461C22semidirect
198. C59×#449C22semidirect
199. C59×#449C22semidirect
200. C59×#448C22semidirect
201. C59×#448C22semidirect
202. C59×#433C22semidirect
913. #3221D59semidirect
970. #540C2×D59semidirect
975. #536C2×D59semidirect
988. #496C2×D59semidirect
990. #492C2×D59semidirect
992. #491C2×D59semidirect
996. #488C2×D59semidirect
1039. #463C2×D59semidirect
1040. #463C2×D59semidirect
1047. #461C2×D59semidirect
1048. #461C2×D59semidirect
1061. #449C2×D59semidirect
1062. #449C2×D59semidirect
1067. #448C2×D59semidirect
1068. #448C2×D59semidirect
1094. #433C2×D59semidirect
1105. C59#62016semidirect

Maximal subgroups

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

subgroupindex
#214386572
#214381262
#214371212
#214371132
#214369292
#214369182
#214362862
#214362752
#214362662
#214362602
#214359452
#214359392
#214357912
#214357852
#214355942
#214355842
#214355792
#214355752
#214355122
#214355012
#214354092
#214351562
#214350812
#214342822
#214342772
#214341942
#214336042
#214336032
#463×D592
#214332302
C59×#32212
#6201659