Finite Group Databasebeta

← #29484112

Subgroups — #29484112

Order 15104.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438611C211yesmaximal, characteristic, complemented
2#21438064C211yesmaximal, characteristic, complemented
3#21437150C211yesmaximal, characteristic, complemented
4#21437147C211yesmaximal, characteristic, complemented
5#21436850C211yesmaximal, characteristic, complemented
6#21436845C211yesmaximal, characteristic, complemented
7#21436369C211yesmaximal, characteristic, complemented
8#21436367C211yesmaximal, characteristic, complemented
9#21436180C211yesmaximal, characteristic, complemented
10#21436175C211yesmaximal, characteristic, complemented
11#21436122C211yesmaximal, characteristic, complemented
12#21436115C211yesmaximal, characteristic, complemented
13#21435697C211yesmaximal, characteristic, complemented
14#21435689C211yesmaximal, characteristic, complemented
15#21435655C211yesmaximal, characteristic, complemented
16#21435653C211yesmaximal, characteristic, complemented
17#21435624C211yesmaximal, characteristic, complemented
18#21435614C211yesmaximal, characteristic, complemented
19#21435522C211yesmaximal, characteristic, complemented
20#21435521C211yesmaximal, characteristic, complemented
21#21435482C211yesmaximal, characteristic, complemented
22#21435170C211yesmaximal, characteristic, complemented
23#21435165C211yesmaximal, characteristic, complemented
24#21435097C211yesmaximal, characteristic, complemented
25#21434363C211yesmaximal, characteristic, complemented
26#21434249C211yesmaximal, characteristic, complemented
27#21433636C211yesmaximal, characteristic, complemented
28#21433635C211yesmaximal, characteristic, complemented
29#21433585C211yesmaximal, characteristic, complemented
30#21433261C211yesmaximal, characteristic, complemented
31C59×#3124C211yesmaximal, characteristic, complemented
32C2×#14273756C2211yescharacteristic, complemented
33C2×#14273752C2211yescharacteristic, complemented
34C2×#14273751C2211yescharacteristic
35C2×#14273751C2211yescharacteristic, complemented
36C2×#14273748C2211yescharacteristic, complemented
37C2×#14273747C2211yescharacteristic, complemented
38#16838148—21no—
39#16838144—21no—
40#16838137C2211yescharacteristic
41#16838135C2211yescharacteristic
42#16838130C2211yescharacteristic, complemented
43#16838111C2211yescharacteristic, complemented
44#16838107C2211yescharacteristic, complemented
45#16838101—21no—
46#16838093C2211yescharacteristic, complemented
47#16838092—21no—
48#16838087C2211yescharacteristic, complemented
49#16838085—21no—
50#16838085—21no—
51#16838064C2211yescharacteristic
52#16838062C2211yescharacteristic
53#16838056C2211yescharacteristic, complemented
54#16838051C2211yescharacteristic, complemented
55#16838051C2211yescharacteristic, complemented
56#16838049C2211yescharacteristic
57#16838045—21no—
58#16838043—21no—
59#16838043C2211yescharacteristic
60D4×D236C2211yescharacteristic
61#16838036C2211yescharacteristic
62#16838026C2211yescharacteristic
63#16838014C2211yescharacteristic, complemented
64#16838010C2211yescharacteristic, complemented
65#16837999—21no—
66#16837994—21no—
67#16837991—21no—
68#16837991—21no—
69#16837988—21no—
70#16837971C2211yescharacteristic
71#16837970C2211yescharacteristic
72#16837963—21no—
73#16837956C2211yescharacteristic, complemented
74#16837953C2211yescharacteristic
75#16837932—21no—
76#16837930C2211yescharacteristic
77C2×#14273717—21no—
78#124×D59C2211yescharacteristic
79#16837881C2211yescharacteristic, complemented
80C4×#11745687C2211yescharacteristic, complemented
81#16837796C2211yescharacteristic, complemented
82#16837795C2211yescharacteristic, complemented
83#16837795C2211yescharacteristic, complemented
84#16837793C2211yescharacteristic, complemented
85#16837775C2211yescharacteristic
86#16837773C2211yescharacteristic
87#16837767C2211yescharacteristic
88#16837765C2211yescharacteristic
89#16837763C2211yescharacteristic, complemented
90#16837760C2211yescharacteristic, complemented
91#16837758C2211yescharacteristic, complemented
92#16837757C2211yescharacteristic, complemented
93#16837739C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837729C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic
97#16837709C2211yescharacteristic, complemented
98#16837708C2211yescharacteristic, complemented
99#16837705C2211yescharacteristic, complemented
100#16837702C2211yescharacteristic, complemented
101#16837694C2211yescharacteristic, complemented
102#16837684C2211yescharacteristic, complemented
103#16837681C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837659C2211yescharacteristic, complemented
106#16837658C2211yescharacteristic, complemented
107#16837651C2211yescharacteristic, complemented
108#16837651C2211yescharacteristic, complemented
109#16837649C2211yescharacteristic
110#16837649C2211yescharacteristic, complemented
111#16837649C2211yescharacteristic, complemented
112#16837646C2211yescharacteristic
113#16837644C2211yescharacteristic, complemented
114#16837641C2211yescharacteristic, complemented
115#16837634C2211yescharacteristic
116#16837629C2211yescharacteristic
117#16837627C2211yescharacteristic, complemented
118#16837627C2211yescharacteristic, complemented
119#16837625C2211yescharacteristic, complemented
120#16837625C2211yescharacteristic, complemented
121#16837624C2211yescharacteristic, complemented
122#16837624C2211yescharacteristic, complemented
123#16837623C2211yescharacteristic, complemented
124#16837621C2211yescharacteristic, complemented
125#16837621C2211yescharacteristic, complemented
126#16837619C2211yescharacteristic, complemented
127#16837619C2211yescharacteristic, complemented
128#16837617C2211yescharacteristic, complemented
129#16837617C2211yescharacteristic, complemented
130#16837615C2211yescharacteristic, complemented
131#16837612C2211yescharacteristic, complemented
132#16837611C2211yescharacteristic, complemented
133#16837607C2211yescharacteristic, complemented
134#16837606C2211yescharacteristic, complemented
135#16837606C2211yescharacteristic, complemented
136#16837606C2211yescharacteristic, complemented
137#16837603C2211yescharacteristic, complemented
138#16837603C2211yescharacteristic, complemented
139#16837602C2211yescharacteristic
140#16837602C2211yescharacteristic, complemented
141#16837601C2211yescharacteristic
142#16837597C2211yescharacteristic
143#16837597C2211yescharacteristic, complemented
144#16837595C2211yescharacteristic
145#16837567C2211yescharacteristic, complemented
146#16837566C2211yescharacteristic, complemented
147#16837566C2211yescharacteristic, complemented
148#16837565C2211yescharacteristic, complemented
149#16837563C2211yescharacteristic, complemented
150#16837559C2211yescharacteristic, complemented
151#16837556C2211yescharacteristic, complemented
152#16837555C2211yescharacteristic, complemented
153#16837555C2211yescharacteristic, complemented
154#16837554C2211yescharacteristic
155#16837554C2211yescharacteristic, complemented
156#16837551C2211yescharacteristic
157#16837551C2211yescharacteristic, complemented
158#16837548C2211yescharacteristic
159#16837548C2211yescharacteristic, complemented
160#16837548C2211yescharacteristic, complemented
161#16837532C2211yescharacteristic, complemented
162#16837530C2211yescharacteristic, complemented
163#16837511C2211yescharacteristic, complemented
164#16837511C2211yescharacteristic, complemented
165#16837501C2211yescharacteristic, complemented
166#16837501C2211yescharacteristic, complemented
167#16837501C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169#16837496C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837481C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837476C2211yescharacteristic, complemented
174#16837475C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837470C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837458C2211yescharacteristic, complemented
179#16837429C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837409C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic
184#16837402C2211yescharacteristic, complemented
185#16837401C2211yescharacteristic, complemented
186C2×#14273647C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#542C2211yescharacteristic
189C59×#520C2211yescharacteristic, complemented
190C59×#484C2211yescharacteristic, complemented
191C59×#480C2211yescharacteristic
192C59×#477C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#452C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic
198C59×#440C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C4×Q16×C59C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C22×D236—21no—
210C22×D236C2311yescharacteristic
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214#14273756—42no—
215#14273752—42no—
216#14273751—42no—
217#14273751—42no—
218#14273748—42no—
219#14273747—42no—
220C2×Dic236C2311yescharacteristic
221C2×Dic236C2311yescharacteristic
222C2×#11745672C2311yescharacteristic
223C2×#11745672C2311yescharacteristic
224C2×#11745672C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745660C2311yescharacteristic
229C2×#11745660C2311yescharacteristic
230C2×#11745660C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C2×#11745659C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245C2×C8×D59C2311yescharacteristic
246#14273727C2311yescharacteristic
247#14273726C2311yescharacteristic
248#14273725C2311yescharacteristic
249#14273725C2311yescharacteristic
250#14273724C2311yescharacteristic
251#14273724C2311yescharacteristic
252#14273723C2311yescharacteristic
253#14273722—21no—
254#14273722—21no—
255#14273722—21no—
256#14273722D411yescharacteristic
257#14273721—21no—
258#14273721—21no—
259#14273720—21no—
260#14273720—21no—
261#14273720D411yescharacteristic
262#14273719—21no—
263#14273719—21no—
264#14273719C2311yescharacteristic
265#14273718C2311yescharacteristic
266#14273717—21no—
267#14273717—21no—
268#14273717—21no—
269#14273717—21no—
270#14273717—21no—
271#14273717—21no—
272#14273717—21no—
273#14273717—21no—
274#14273717—21no—
275#14273717D411yescharacteristic
276#14273716—21no—
277#14273716—21no—
278#14273716C2311yescharacteristic
279#14273716C2311yescharacteristic
280#14273715—21no—
281#14273715—21no—
282#14273715C2311yescharacteristic
283#14273715C2311yescharacteristic
284#14273714C2311yescharacteristic
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273713—21no—
289#14273713D411yescharacteristic
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712—21no—
294#14273712—21no—
295#14273712D411yescharacteristic
296#14273711—21no—
297#14273711—21no—
298#14273710—21no—
299#14273710—21no—
300#14273710—21no—
301#14273710—21no—
302#14273709—21no—
303#14273709—21no—
304#14273709D411yescharacteristic
305#14273708—21no—
306#14273708—21no—
307#14273707—21no—
308#14273707C2311yescharacteristic
309#14273707C2311yescharacteristic
310#14273707C2311yescharacteristic
311#14273706—21no—
312#14273706—21no—
313#14273706C2311yescharacteristic
314#14273706C2311yescharacteristic
315#14273705—21no—
316#14273705—21no—
317#14273705—21no—
318#14273705D411yescharacteristic
319#14273704—21no—
320#14273704—21no—
321#14273703—21no—
322#14273703C2311yescharacteristic
323#14273703C2311yescharacteristic
324#14273702—21no—
325#14273702—21no—
326#14273702—21no—
327#14273702—21no—
328#14273702—21no—
329#14273702C2311yescharacteristic
330#14273702C2311yescharacteristic
331#14273702C2311yescharacteristic
332#14273701—21no—
333#14273701—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700D411yescharacteristic
339#14273699—21no—
340#14273699—21no—
341#14273698—21no—
342#14273697—21no—
343#14273697—21no—
344#14273697—21no—
345#14273697—21no—
346#14273697—21no—
347#14273697—21no—
348#14273697—21no—
349#14273697—21no—
350#14273695—21no—
351#14273695—21no—
352C4×Dic118—21no—
353C4×Dic118—21no—
354C4×Dic118C2311yescharacteristic
355C4×Dic118C2311yescharacteristic
356C4×Dic118C2311yescharacteristic
357#14273692C2311yescharacteristic
358#14273692C2311yescharacteristic
359#14273692C2311yescharacteristic
360C4×D236—21no—
361C4×D236—21no—
362C4×D236C2311yescharacteristic
363D4×Dic59C2311yescharacteristic
364D4×Dic59C2311yescharacteristic
365#14273689—21no—
366#14273689—21no—
367#14273689C2311yescharacteristic
368#14273689C2311yescharacteristic
369#14273689C2311yescharacteristic
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59C2311yescharacteristic
375C4×C22⋊D59C2311yescharacteristic
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378#14273686—21no—
379#14273685C2311yescharacteristic
380#14273684—21no—
381#14273684—21no—
382#14273684C2311yescharacteristic
383#14273683—21no—
384#14273683—21no—
385C2×C4⋊Dic59—21no—
386C2×Dic59⋊C4—21no—
387C2×Dic59⋊C4—21no—
388C2×Dic59⋊C4—21no—
389C2×Dic59⋊C4—21no—
390C4⋊C4×D59C2311yescharacteristic
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C2×C4×Dic59—21no—
396C42×D59C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
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#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
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
442C2×Q16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C4⋊Q8×C59C2311yescharacteristic
447#126×C59—21no—
448#124×C59—21no—
449#124×C59C2311yescharacteristic
450#123×C59—21no—
451C22⋊Q8×C59—21no—
452C22⋊Q8×C59C2311yescharacteristic
453#121×C59C2311yescharacteristic
454C4×Q8×C59C2311yescharacteristic
455C4×Q8×C59C2311yescharacteristic
456C4×Q8×C59C2311yescharacteristic
457C4×D4×C59—21no—
458C4×D4×C59—21no—
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462#117×C59—21no—
463#117×C59C2311yescharacteristic
464C2×C4⋊C4×C59—21no—
465C2×C4⋊C4×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#107×C59C2311yescharacteristic
469#107×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×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—
487#41×C59—22no—
488#41×C59—41no—
489C2×Q8×C59—21no—
490C2×Q8×C59C2411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59C2411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59C2411yescharacteristic
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59C2×D411yescharacteristic
510C2×C22⋊D59C2×D411yescharacteristic
511C22×Dic59—21no—
512C22×Dic59—21no—
513C22×Dic59—21no—
514C22×Dic59—21no—
515#11745689—41no—
516#11745689—41no—
517#11745689—82no—
518Q8×D59—41no—
519Q8×D59—41no—
520#11745687—22no—
521#11745687—22no—
522#11745687—41no—
523#11745687—41no—
524D4×D59—41no—
525D4×D59—41no—
526D4×D59—41no—
527D4×D59—41no—
528D4×D59—82no—
529#11745685—41no—
530#11745685—41no—
531C2×D236—21no—
532C2×D236—21no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—41no—
541C2×D236—41no—
542C2×D236—82no—
543C2×D236C2×D411yescharacteristic
544C2×D236C2411yescharacteristic
545C2×D236C2411yescharacteristic
546C2×D236C2411yescharacteristic
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59C2×D411yescharacteristic
555C2×C4×D59C2×D411yescharacteristic
556C2×C4×D59C2411yescharacteristic
557C2×C4×D59C2411yescharacteristic
558C2×Dic118—21no—
559C2×Dic118—21no—
560C2×Dic118C2×D411yescharacteristic
561C2×Dic118C2411yescharacteristic
562C2×Dic118C2411yescharacteristic
563C2×Dic118C2411yescharacteristic
564Q16×C59—41no—
565SD16×C59—22no—
566SD16×C59—41no—
567D8×C59—22no—
568C2×C8×C59C2411yescharacteristic
569C2×C8×C59C2411yescharacteristic
570C2×C8×C59C2411yescharacteristic
571C2×C8×C59C2411yescharacteristic
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59C2×D411yescharacteristic
579C4⋊C4×C59C2×D411yescharacteristic
580C4⋊C4×C59C2411yescharacteristic
581C4⋊C4×C59C2411yescharacteristic
582C4⋊C4×C59C2411yescharacteristic
583C4⋊C4×C59C2411yescharacteristic
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59C2×D411yescharacteristic
592C22⋊C4×C59C2×D411yescharacteristic
593C42×C59—21no—
594C42×C59—21no—
595C42×C59—21no—
596C42×C59C2411yescharacteristic
597C42×C59C2411yescharacteristic
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59C2×D411yescharacteristic
605C22⋊Dic59C2×D411yescharacteristic
606#11745672—41no—
607#11745672—41no—
608#11745672—41no—
609#11745671—41no—
610#11745671—41no—
611#11745671—41no—
612#11745670—22no—
613#11745670—41no—
614#11745670—41no—
615#11745669—22no—
616#11745669—22no—
617#11745669—22no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
639(C2×D59)⋊C4C2×D411yescharacteristic
640(C2×D59)⋊C4C2×D411yescharacteristic
641(C2×D59)⋊C4C2×D411yescharacteristic
642(C2×D59)⋊C4C2×D411yescharacteristic
643(C2×D59)⋊C4C2×D411yescharacteristic
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59C2×D411yescharacteristic
651C4⋊Dic59C2×D411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4C2×D411yescharacteristic
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2411yescharacteristic
687C4×Dic59C2411yescharacteristic
688#11745664—41no—
689C2×C59⋊C8—41no—
690C2×C59⋊C8C2411yescharacteristic
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694Dic236—41no—
695Dic236—41no—
696#11745660—41no—
697#11745660—41no—
698#11745660—41no—
699#11745660—41no—
700#11745660—41no—
701#11745660—41no—
702#11745659—41no—
703#11745659—41no—
704#11745659—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59C22×D411yescharacteristic
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—42no—
713C22×D59—81no—
714C22×D59—81no—
715C22×D59—81no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59C22×D411yescharacteristic
722C22×D59C22×D411yescharacteristic
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—81no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—42no—
732D4×C59—81no—
733D4×C59H(5,𝔽2)12yes—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—42no—
743C2×C4×C59—81no—
744C2×C4×C59—81no—
745C2×C4×C59—81no—
746C2×C4×C59—81no—
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C2511yescharacteristic
753C22⋊D59—41no—
754C22⋊D59—41no—
755C22⋊D59—42no—
756C22⋊D59—42no—
757C22⋊D59—81no—
758C22⋊D59—81no—
759C22⋊D59—81no—
760C22⋊D59—81no—
761C22⋊D59—81no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—42no—
768C2×Dic59—42no—
769C2×Dic59—42no—
770C2×Dic59—81no—
771C2×Dic59C22×D411yescharacteristic
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777D236—21no—
778D236—21no—
779D236—21no—
780D236—21no—
781D236—21no—
782D236—21no—
783D236—41no—
784D236—42no—
785D236—42no—
786D236—81no—
787D236—81no—
788D236—81no—
789D236—81no—
790D236—81no—
791D236—81no—
792D236—81no—
793C4×D59—21no—
794C4×D59—21no—
795C4×D59—21no—
796C4×D59—21no—
797C4×D59—41no—
798C4×D59—41no—
799C4×D59—81no—
800C4×D59—81no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59—81no—
806Dic118—21no—
807Dic118—21no—
808Dic118—21no—
809Dic118—21no—
810Dic118—21no—
811Dic118—21no—
812Dic118—41no—
813Dic118—81no—
814Dic118—81no—
815C8×C59—21no—
816C8×C59—21no—
817C8×C59—21no—
818C8×C59—21no—
819C59⋊C8—21no—
820C59⋊C8—21no—
821C59⋊C8—21no—
822C59⋊C8—21no—
823#62089—591nomaximal, Sylow
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—22no—
827C22×C59—21no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59C23×D411yescharacteristic
834C2×D59—21no—
835C2×D59—21no—
836C2×D59—21no—
837C2×D59—21no—
838C2×D59—21no—
839C2×D59—21no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—162no—
850C2×D59—162no—
851C2×D59—162no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59C2×H(5,𝔽2)11yescharacteristic
864C4×C59#58511yescharacteristic
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—21no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876#3558—591no—
877#3515—591no—
878#3400—591no—
879#3400—591no—
880#3370—591no—
881#3370—591no—
882#3327—591no—
883#3327—591no—
884#3314—591no—
885#3314—591no—
886#3310—591no—
887#3310—591no—
888#3272—591no—
889#3272—591no—
890#3269—591no—
891#3269—591no—
892#3267—591no—
893#3267—591no—
894#3258—591no—
895#3258—591no—
896#3254—591no—
897#3222—591no—
898#3222—591no—
899#3215—591no—
900#3124—591no—
901#3124D5911yescharacteristic, complemented
902#3115—591no—
903#3045—591no—
904#3045—591no—
905#3040—591no—
906#2995—591no—
907C2×C59—41no—
908C2×C59—42no—
909C2×C59—81no—
910C2×C59#348811yescharacteristic
911C2×C59#358511yescharacteristic
912C2×C59#358611yescharacteristic
913D59—41no—
914D59—41no—
915D59—81no—
916D59—81no—
917D59—81no—
918C2×#137—591no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)—591no—
921C2×AGL(1,ℤ/8)—591no—
922C2×#135—591no—
923C2×#135—591no—
924#562—1181no—
925H(3,𝔽4)—1181no—
926#559—591no—
927#559—591no—
928#557—591no—
929#554—591no—
930#554—591no—
931#553—1181no—
932#552—591no—
933#552—591no—
934#552—1181no—
935#552—1181no—
936#552—1181no—
937#548—591no—
938#548—591no—
939#547—591no—
940#547—591no—
941#547—591no—
942#546—591no—
943#546—591no—
944#546—1181no—
945#546—1181no—
946D42—591no—
947D42—591no—
948#542—591no—
949#542C2×D5911yescharacteristic
950#541—591no—
951#541—591no—
952#539—1181no—
953#539—1181no—
954#538—1181no—
955#538—1181no—
956#538—1181no—
957#535—591no—
958#535—591no—
959#534—1181no—
960#533—591no—
961#532—591no—
962#529—591no—
963#529—1181no—
964C2×#125—1181no—
965C2×#124—591no—
966#520—591no—
967#520C2×D5911yescharacteristic, complemented
968C4×#41—591no—
969#497—591no—
970#497—591no—
971#497—591no—
972#497—591no—
973#492—591no—
974#492—591no—
975#490—591no—
976#490—591no—
977#489—591no—
978#489—591no—
979#488—591no—
980#488—591no—
981#484—591no—
982#484C2×D5911yescharacteristic, complemented
983#482—591no—
984#482—591no—
985#480—591no—
986#480C2×D5911yescharacteristic
987#479—591no—
988#479—591no—
989#478—591no—
990#478—591no—
991#477—591no—
992#477C2×D5911yescharacteristic, complemented
993#475—591no—
994#474—591no—
995#474—591no—
996#474C2×D5911yescharacteristic, complemented
997#470—591no—
998#470—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#468—591no—
1004#468—591no—
1005#467—591no—
1006#467—591no—
1007#465—591no—
1008#465—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#464—591no—
1015#464—591no—
1016#464—591no—
1017#464—591no—
1018#464C2×D5911yescharacteristic, complemented
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#463C2×D5911yescharacteristic, complemented
1025#462—591no—
1026#462—591no—
1027#461—591no—
1028#461—591no—
1029#461—591no—
1030#461—591no—
1031#460—591no—
1032#460—591no—
1033#460—591no—
1034#460—591no—
1035#460—591no—
1036#459—591no—
1037#459—591no—
1038#459—591no—
1039#452—591no—
1040#452—591no—
1041#452—591no—
1042#452—591no—
1043#452—591no—
1044#452C2×D5911yescharacteristic, complemented
1045#451—591no—
1046#451—591no—
1047#450—591no—
1048#450—591no—
1049#450—591no—
1050#450—591no—
1051#450—591no—
1052#450—591no—
1053#449—591no—
1054#449—591no—
1055#449—591no—
1056#449C2×D5911yescharacteristic
1057#446—591no—
1058#446—591no—
1059#442—591no—
1060#442—591no—
1061#440—591no—
1062#440—591no—
1063#440—591no—
1064#440—591no—
1065#440C2×D5911yescharacteristic, complemented
1066#440C2×D5911yescharacteristic, complemented
1067C4×Q16—591no—
1068C4×Q16C2×D5911yescharacteristic, complemented
1069C4×D8—591no—
1070C4×D8C2×D5911yescharacteristic, complemented
1071#436—591no—
1072#436—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076#435—591no—
1077#433—591no—
1078#433C2×D5911yescharacteristic, complemented
1079#432—591no—
1080#424—591no—
1081#424—591no—
1082#423—591no—
1083#419—591no—
1084#418—591no—
1085#417—591no—
1086#417—591no—
1087C2×#102—591no—
1088C2×#102—591no—
1089C59#6208911yescharacteristic, complemented, Sylow
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—591no—
1094C2×#41—1181no—
1095C2×#41C22×D5911yescharacteristic
1096C22×Q8—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—1181no—
1101C22×D4—1181no—
1102#137—2362no—
1103AGL(1,ℤ/8)—2362no—
1104AGL(1,ℤ/8)—2362no—
1105AGL(1,ℤ/8)—2362no—
1106#135—2362no—
1107#135—2362no—
1108C2×Q16—591no—
1109C2×Q16—591no—
1110C2×Q16—591no—
1111C2×Q16—591no—
1112C2×Q16—591no—
1113C2×Q16C22×D5911yescharacteristic
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16C22×D5911yescharacteristic
1127C2×SD16C22×D5911yescharacteristic
1128C2×D8—591no—
1129C2×D8—591no—
1130C2×D8—591no—
1131C2×D8C22×D5911yescharacteristic
1132C2×M16—591no—
1133C2×M16—591no—
1134C2×M16—591no—
1135C2×M16—591no—
1136C22×C8—591no—
1137C22×C8—591no—
1138C4⋊Q8—591no—
1139C4⋊Q8—591no—
1140C4⋊Q8—591no—
1141C4⋊Q8—591no—
1142C4⋊Q8C22×D5911yescharacteristic
1143#127—591no—
1144#127—591no—
1145#127—591no—
1146#126—21no—
1147#126—591no—
1148#126—591no—
1149#126—1181no—
1150#126—1181no—
1151#126—1181no—
1152#126—1181no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#125—591no—
1157#125—591no—
1158#125—591no—
1159#125—1181no—
1160#125—1181no—
1161#125—1181no—
1162#125—1181no—
1163#125—1181no—
1164#125—1181no—
1165#125—1181no—
1166#125—1181no—
1167#125—1181no—
1168#125—1181no—
1169#125—1181no—
1170#124—21no—
1171#124—591no—
1172#124—591no—
1173#124—591no—
1174#124—591no—
1175#124—591no—
1176#124—591no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124—1181no—
1185#124C22×D5911yescharacteristic
1186#123—21no—
1187#123—591no—
1188#123—591no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204C22⋊Q8—21no—
1205C22⋊Q8—591no—
1206C22⋊Q8—591no—
1207C22⋊Q8—591no—
1208C22⋊Q8—591no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—591no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8C22×D5911yescharacteristic
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—1181no—
1228#121—1181no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121C22×D5911yescharacteristic
1242#120—1181no—
1243#120—1181no—
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251#120—1181no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×Q8—1181no—
1259C4×Q8—1181no—
1260C4×Q8C22×D5911yescharacteristic
1261C4×Q8C22×D5911yescharacteristic
1262C4×Q8C22×D5911yescharacteristic
1263C4×D4—21no—
1264C4×D4—21no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4C22×D5911yescharacteristic
1284C4×D4C22×D5911yescharacteristic
1285C4×D4C22×D5911yescharacteristic
1286#117—21no—
1287#117—591no—
1288#117—591no—
1289#117—1181no—
1290#117—1181no—
1291#117—1181no—
1292#117—1181no—
1293#117—1181no—
1294#117C22×D5911yescharacteristic
1295C2×C4⋊C4—21no—
1296C2×C4⋊C4—591no—
1297C2×C4⋊C4—1181no—
1298C2×C4⋊C4—1181no—
1299C2×C4⋊C4—1181no—
1300C2×C4⋊C4—1181no—
1301C2×C4⋊C4—1181no—
1302C2×C4⋊C4C22×D5911yescharacteristic
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C22⋊C4—1181no—
1307C2×C42—591no—
1308C2×C42—1181no—
1309#107—591no—
1310#107—591no—
1311#107C22×D5911yescharacteristic
1312#107C22×D5911yescharacteristic
1313#107C22×D5911yescharacteristic
1314#107C22×D5911yescharacteristic
1315#106—591no—
1316#106—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8—591no—
1325C4⋊C8C22×D5911yescharacteristic
1326C4⋊C8C22×D5911yescharacteristic
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103—591no—
1334#103—591no—
1335#103—591no—
1336#103—591no—
1337#103C22×D5911yescharacteristic
1338#103C22×D5911yescharacteristic
1339#103C22×D5911yescharacteristic
1340#103C22×D5911yescharacteristic
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102C22×D5911yescharacteristic
1356#102C22×D5911yescharacteristic
1357#102C22×D5911yescharacteristic
1358#102C22×D5911yescharacteristic
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363C22⋊C8C22×D5911yescharacteristic
1364C22⋊C8C22×D5911yescharacteristic
1365#97—591no—
1366#97—591no—
1367#97—591no—
1368#97C22×D5911yescharacteristic
1369C4×C8—591no—
1370C4×C8C22×D5911yescharacteristic
1371C24—1181no—
1372C24—1181no—
1373C24—1181no—
1374#41—22no—
1375#41—41no—
1376#41—1182no—
1377#41—1182no—
1378#41—4722no—
1379#41—2361no—
1380#41—2361no—
1381#41—2361no—
1382#41—2361no—
1383#41—2361no—
1384#41—2361no—
1385C2×Q8—21no—
1386C2×Q8—591no—
1387C2×Q8—591no—
1388C2×Q8—591no—
1389C2×Q8—591no—
1390C2×Q8—1181no—
1391C2×Q8—1181no—
1392C2×Q8—2361no—
1393C2×Q8—2361no—
1394C2×Q8C23×D5911yescharacteristic
1395C2×Q8C23×D5911yescharacteristic
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—591no—
1399C2×D4—591no—
1400C2×D4—591no—
1401C2×D4—591no—
1402C2×D4—591no—
1403C2×D4—591no—
1404C2×D4—1181no—
1405C2×D4—1181no—
1406C2×D4—1181no—
1407C2×D4—1181no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—4722no—
1421C2×D4—4722no—
1422C2×D4—2361no—
1423C2×D4—2361no—
1424C2×D4—2361no—
1425C2×D4—2361no—
1426C2×D4—2361no—
1427C2×D4—2361no—
1428C2×D4C23×D5911yescharacteristic
1429C2×D4C23×D5911yescharacteristic
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—591no—
1436C22×C4—591no—
1437C22×C4—591no—
1438C22×C4—591no—
1439C22×C4—1181no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4C23×D5911yescharacteristic
1451Q16—41no—
1452Q16—2361no—
1453Q16—2361no—
1454Q16—2361no—
1455Q16—2361no—
1456Q16—2361no—
1457SD16—22no—
1458SD16—41no—
1459SD16—1182no—
1460SD16—2361no—
1461SD16—2361no—
1462SD16—2361no—
1463SD16—2361no—
1464SD16—2361no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469SD16—2361no—
1470SD16—2361no—
1471D8—22no—
1472D8—1182no—
1473D8—1182no—
1474D8—1182no—
1475M16—2361no—
1476M16—2361no—
1477M16—2361no—
1478M16—2361no—
1479C2×C8—591no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—591no—
1483C2×C8—2361no—
1484C2×C8—2361no—
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C2×C8C23×D5911yescharacteristic
1488C2×C8C23×D5911yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—591no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—591no—
1500C4⋊C4—591no—
1501C4⋊C4—591no—
1502C4⋊C4—591no—
1503C4⋊C4—591no—
1504C4⋊C4—591no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4D4×D5911yescharacteristic
1530C4⋊C4D4×D5911yescharacteristic
1531C4⋊C4C23×D5911yescharacteristic
1532C4⋊C4C23×D5911yescharacteristic
1533C4⋊C4C23×D5911yescharacteristic
1534C4⋊C4C23×D5911yescharacteristic
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—591no—
1543C22⋊C4—591no—
1544C22⋊C4—591no—
1545C22⋊C4—591no—
1546C22⋊C4—591no—
1547C22⋊C4—591no—
1548C22⋊C4—591no—
1549C22⋊C4—591no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4D4×D5911yescharacteristic
1577C22⋊C4D4×D5911yescharacteristic
1578C42—21no—
1579C42—21no—
1580C42—21no—
1581C42—591no—
1582C42—591no—
1583C42—591no—
1584C42—591no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42—1181no—
1591C42C23×D5911yescharacteristic
1592C42C23×D5911yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—591no—
1596C23—591no—
1597C23—1181no—
1598C23—1181no—
1599C23—1181no—
1600C23—4721no—
1601C23—4721no—
1602C23—4721no—
1603C23—4721no—
1604C23—4721no—
1605C23—4721no—
1606C23—4721no—
1607C23—4721no—
1608C23—2362no—
1609C23C2×D4×D5911yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—81no—
1615Q8—1181no—
1616Q8—1181no—
1617Q8—1181no—
1618Q8—1181no—
1619Q8—1181no—
1620Q8—1181no—
1621Q8—4721no—
1622Q8—4721no—
1623Q8—2361no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—42no—
1628D4—81no—
1629D4—1181no—
1630D4—1181no—
1631D4—1181no—
1632D4—1181no—
1633D4—1181no—
1634D4—1181no—
1635D4—4721no—
1636D4—4721no—
1637D4—4721no—
1638D4—4721no—
1639D4—4721no—
1640D4—4721no—
1641D4—4721no—
1642D4—4721no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—2361no—
1648D4—2362no—
1649D4—2362no—
1650D4—2361no—
1651D4—2361no—
1652D4—2362no—
1653D4—2362no—
1654D4#1427377312yes—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—42no—
1664C2×C4—81no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—81no—
1668C2×C4—591no—
1669C2×C4—591no—
1670C2×C4—591no—
1671C2×C4—591no—
1672C2×C4—591no—
1673C2×C4—591no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—4721no—
1688C2×C4—4721no—
1689C2×C4—4721no—
1690C2×C4—4721no—
1691C2×C4—2361no—
1692C2×C4—2361no—
1693C2×C4—2362no—
1694C2×C4—2362no—
1695C2×C4—2362no—
1696C2×C4C2×D4×D5911yescharacteristic
1697C2×C4C2×D4×D5911yescharacteristic
1698C2×C4C2×D4×D5911yescharacteristic
1699C2×C4C2×D4×D5911yescharacteristic
1700C2×C4C2×D4×D5911yescharacteristic
1701C2×C4C24×D5911yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1181no—
1707C8—1181no—
1708C8—1181no—
1709C8—1181no—
1710C22—21no—
1711C22—22no—
1712C22—21no—
1713C22—21no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—1181no—
1720C22—1181no—
1721C22—1181no—
1722C22—1181no—
1723C22—1181no—
1724C22—1181no—
1725C22—9442no—
1726C22—9442no—
1727C22—9442no—
1728C22—2361no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22C22×D4×D5911yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—1181no—
1750C4—1181no—
1751C4—1181no—
1752C4—1181no—
1753C4—1181no—
1754C4—1181no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4C2×#1427377311yescharacteristic
1761C4#1683823811yescharacteristic
1762C2—41no—
1763C2—42no—
1764C2—81no—
1765C2—4721no—
1766C2—4721no—
1767C2—4721no—
1768C2—2361no—
1769C2—2361no—
1770C2#2143775711yescharacteristic
1771C2#2143887111yescharacteristic
1772C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3124C2
socleC22×C59C23×D4
hypercenter#3124D59
hypocenterC59#62089
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3124

Complements

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

NH ≅ G/Ntype
1. #21438611C2semidirect
2. #21438064C2semidirect
3. #21437150C2semidirect
4. #21437147C2semidirect
5. #21436850C2semidirect
6. #21436845C2semidirect
7. #21436369C2semidirect
8. #21436367C2semidirect
9. #21436180C2semidirect
10. #21436175C2semidirect
11. #21436122C2semidirect
12. #21436115C2semidirect
13. #21435697C2semidirect
14. #21435689C2semidirect
15. #21435655C2semidirect
16. #21435653C2semidirect
17. #21435624C2semidirect
18. #21435614C2semidirect
19. #21435522C2semidirect
20. #21435521C2semidirect
21. #21435482C2semidirect
22. #21435170C2semidirect
23. #21435165C2semidirect
24. #21435097C2semidirect
25. #21434363C2semidirect
26. #21434249C2semidirect
27. #21433636C2semidirect
28. #21433635C2semidirect
29. #21433585C2semidirect
30. #21433261C2semidirect
31. C59×#3124C2semidirect
32. C2×#14273756C22semidirect
33. C2×#14273752C22semidirect
35. C2×#14273751C22semidirect
36. C2×#14273748C22semidirect
37. C2×#14273747C22semidirect
42. #16838130C22semidirect
43. #16838111C22semidirect
44. #16838107C22semidirect
46. #16838093C22semidirect
48. #16838087C22semidirect
53. #16838056C22semidirect
54. #16838051C22semidirect
55. #16838051C22semidirect
63. #16838014C22semidirect
64. #16838010C22semidirect
73. #16837956C22semidirect
79. #16837881C22semidirect
80. C4×#11745687C22semidirect
81. #16837796C22semidirect
82. #16837795C22semidirect
83. #16837795C22semidirect
84. #16837793C22semidirect
89. #16837763C22semidirect
90. #16837760C22semidirect
91. #16837758C22semidirect
92. #16837757C22semidirect
93. #16837739C22semidirect
94. #16837729C22semidirect
95. #16837729C22semidirect
97. #16837709C22semidirect
98. #16837708C22semidirect
99. #16837705C22semidirect
100. #16837702C22semidirect
101. #16837694C22semidirect
102. #16837684C22semidirect
103. #16837681C22semidirect
104. #16837681C22semidirect
105. #16837659C22semidirect
106. #16837658C22semidirect
107. #16837651C22semidirect
108. #16837651C22semidirect
110. #16837649C22semidirect
111. #16837649C22semidirect
113. #16837644C22semidirect
114. #16837641C22semidirect
117. #16837627C22semidirect
118. #16837627C22semidirect
119. #16837625C22semidirect
120. #16837625C22semidirect
121. #16837624C22semidirect
122. #16837624C22semidirect
123. #16837623C22semidirect
124. #16837621C22semidirect
125. #16837621C22semidirect
126. #16837619C22semidirect
127. #16837619C22semidirect
128. #16837617C22semidirect
129. #16837617C22semidirect
130. #16837615C22semidirect
131. #16837612C22semidirect
132. #16837611C22semidirect
133. #16837607C22semidirect
134. #16837606C22semidirect
135. #16837606C22semidirect
136. #16837606C22semidirect
137. #16837603C22semidirect
138. #16837603C22semidirect
140. #16837602C22semidirect
143. #16837597C22semidirect
145. #16837567C22semidirect
146. #16837566C22semidirect
147. #16837566C22semidirect
148. #16837565C22semidirect
149. #16837563C22semidirect
150. #16837559C22semidirect
151. #16837556C22semidirect
152. #16837555C22semidirect
153. #16837555C22semidirect
155. #16837554C22semidirect
157. #16837551C22semidirect
159. #16837548C22semidirect
160. #16837548C22semidirect
161. #16837532C22semidirect
162. #16837530C22semidirect
163. #16837511C22semidirect
164. #16837511C22semidirect
165. #16837501C22semidirect
166. #16837501C22semidirect
167. #16837501C22semidirect
168. #16837499C22semidirect
169. #16837496C22semidirect
170. #16837482C22semidirect
171. #16837481C22semidirect
172. #16837477C22semidirect
173. #16837476C22semidirect
174. #16837475C22semidirect
175. #16837470C22semidirect
176. #16837470C22semidirect
177. #16837462C22semidirect
178. #16837458C22semidirect
179. #16837429C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
182. #16837409C22semidirect
184. #16837402C22semidirect
185. #16837401C22semidirect
186. C2×#14273647C22semidirect
187. #102×D59C22semidirect
189. C59×#520C22semidirect
190. C59×#484C22semidirect
192. C59×#477C22semidirect
193. C59×#474C22semidirect
194. C59×#464C22semidirect
195. C59×#463C22semidirect
196. C59×#452C22semidirect
198. C59×#440C22semidirect
199. C59×#440C22semidirect
200. C4×Q16×C59C22semidirect
201. C4×D8×C59C22semidirect
202. C59×#433C22semidirect
901. #3124D59semidirect
967. #520C2×D59semidirect
982. #484C2×D59semidirect
992. #477C2×D59semidirect
996. #474C2×D59semidirect
1018. #464C2×D59semidirect
1024. #463C2×D59semidirect
1044. #452C2×D59semidirect
1065. #440C2×D59semidirect
1066. #440C2×D59semidirect
1068. C4×Q16C2×D59semidirect
1070. C4×D8C2×D59semidirect
1078. #433C2×D59semidirect
1089. C59#62089semidirect

Maximal subgroups

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

subgroupindex
#214386112
#214380642
#214371502
#214371472
#214368502
#214368452
#214363692
#214363672
#214361802
#214361752
#214361222
#214361152
#214356972
#214356892
#214356552
#214356532
#214356242
#214356142
#214355222
#214355212
#214354822
#214351702
#214351652
#214350972
#214343632
#214342492
#214336362
#214336352
#214335852
#214332612
C59×#31242
#6208959