Finite Group Databasebeta

← #29497148

Subgroups — #29497148

Order 15104.

7104 conjugacy classes of subgroups.

The subgroup lattice has 1888 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438189C212yesmaximal, complemented
2#21438144C212yesmaximal, complemented
3#21438142C214yesmaximal, complemented
4#21438110C212yesmaximal, complemented
5#21438073C212yesmaximal, complemented
6#21438071C214yesmaximal, complemented
7#21438008C212yesmaximal, complemented
8#21438007C211yesmaximal, characteristic, complemented
9#21437975C212yesmaximal, complemented
10#21437908C211yesmaximal, characteristic, complemented
11#21437879C211yesmaximal, characteristic, complemented
12#21437840C214yesmaximal, complemented
13#21437838C212yesmaximal, complemented
14#21437774C212yesmaximal, complemented
15#21437716C212yesmaximal, complemented
16#21437715C212yesmaximal, complemented
17#21437710C214yesmaximal, complemented
18#21437678C212yesmaximal, complemented
19#21437657C212yesmaximal, complemented
20#21437649C214yesmaximal, complemented
21#21437528C214yesmaximal, complemented
22#21437520C212yesmaximal, complemented
23#21437393C211yesmaximal, characteristic, complemented
24#21437393C212yesmaximal, complemented
25C2×#16837957C211yesmaximal, characteristic, complemented
26#533×D59C212yesmaximal, complemented
27#21437305C212yesmaximal, complemented
28C4×#41×D59C211yesmaximal, characteristic, complemented
29C59×#3509C211yesmaximal, characteristic, complemented
30C2×#14273775C2212yes—
31C2×#41×D59C2211yescharacteristic
32Q8×Dic118C2212yescomplemented
33#16838130C2212yescomplemented
34#16838129C2214yescomplemented
35#16838128C2214yescomplemented
36#16838125C2212yescomplemented
37#16838125C2214yescomplemented
38#16838124C2214yescomplemented
39#16838123C2214yescomplemented
40#16838120C2214yescomplemented
41#16838119C2218yescomplemented
42#16838117C2212yescomplemented
43#16838115C2214yescomplemented
44#16838112C2214yes—
45#16838112C2212yescomplemented
46#16838112C2212yescomplemented
47#16838110C2214yescomplemented
48#16838108C2218yes—
49#16838108C2214yescomplemented
50#16838105C2214yescomplemented
51#16838098C2214yescomplemented
52#16838096C2214yescomplemented
53#16838093C2214yes—
54#16838093C2214yescomplemented
55#16838093C2214yescomplemented
56#16838091C2214yescomplemented
57#16838090C2214yescomplemented
58#16838090C2218yescomplemented
59#16838088C2218yescomplemented
60#16838086C2214yescomplemented
61#16838085C2218yescomplemented
62#16838084C2218yes—
63#16838084C2218yescomplemented
64#16838077C2218yes—
65#16838077C2218yes—
66#16838076C2218yes—
67Q8×D236C2212yescomplemented
68#16838067C2214yes—
69#16838067C2212yescomplemented
70#16838067C2212yescomplemented
71#16838065C2214yescomplemented
72#16838064C2214yescomplemented
73#16838062C2214yescomplemented
74#16838061C2214yescomplemented
75#16838060C2214yes—
76#16838057C2212yescomplemented
77#16838055C2214yes—
78#16838055C2212yescomplemented
79#16838055C2212yescomplemented
80#16838054C2214yescomplemented
81#16838053C2214yescomplemented
82#16838053C2214yescomplemented
83#16838050C2218yes—
84#16838045C2214yes—
85#16838044C2218yes—
86#16838032C2214yescomplemented
87#16838030C2212yescomplemented
88#16838025C2214yescomplemented
89#16838024C2214yescomplemented
90#16838023C2214yescomplemented
91#16838021C2214yescomplemented
92#16838018C2218yescomplemented
93#16838013C2214yescomplemented
94#16838012C2214yescomplemented
95#16838011C2218yescomplemented
96#16838010C2214yescomplemented
97#16838000C2218yescomplemented
98#16837996C2218yescomplemented
99#16837993C2218yescomplemented
100#16837982C2214yes—
101#16837980C2212yes—
102#16837977C2214yescomplemented
103#16837976C2212yescomplemented
104#16837975C2214yes—
105#16837959C2212yescomplemented
106#16837958C2214yes—
107#16837958C2218yescomplemented
108#16837957C2212yes—
109#16837957C2212yes—
110#16837957C2211yescharacteristic
111#16837957C2212yes—
112#16837957C2212yes—
113#16837957C2212yescomplemented
114#16837957C2214yescomplemented
115#16837957C2211yescharacteristic, complemented
116#16837957C2212yescomplemented
117#16837957C2212yescomplemented
118#16837957C2212yescomplemented
119#16837957C2212yescomplemented
120#16837956C2214yes—
121#16837956C2214yes—
122#16837955C2214yescomplemented
123#16837954C2214yescomplemented
124#16837954C2214yescomplemented
125#16837953C2211yescharacteristic
126#16837953C2211yescharacteristic, complemented
127#16837953C2212yescomplemented
128#16837952C2212yescomplemented
129#16837952C2211yescharacteristic, complemented
130C2×#14273727C2211yescharacteristic, complemented
131C4⋊Q8×D59C2212yescomplemented
132C4⋊Q8×D59C2212yescomplemented
133#16837939C2214yes—
134#16837939C2212yes—
135#16837939C2214yescomplemented
136#16837939C2212yescomplemented
137#16837938C2212yescomplemented
138#16837938C2214yescomplemented
139#16837938C2212yescomplemented
140#16837938C2214yescomplemented
141#16837937C2212yes—
142#16837937C2214yes—
143#16837937C2214yescomplemented
144#16837937C2218yescomplemented
145#16837937C2212yescomplemented
146#16837935C2218yescomplemented
147#16837935C2218yescomplemented
148#16837931C2214yescomplemented
149#16837929C2218yescomplemented
150C2×#14273718C2212yescomplemented
151#125×D59C2214yescomplemented
152#16837915C2214yes—
153#16837915C2212yes—
154#16837915C2212yes—
155#16837915C2214yes—
156#16837914C2212yes—
157#16837914C2214yes—
158C2×#14273707C2212yes—
159C2×#14273703C2212yes—
160C22⋊Q8×D59C2214yes—
161C22⋊Q8×D59C2214yes—
162#16837884C2214yescomplemented
163#16837884C2214yescomplemented
164#16837882C2212yes—
165#16837882C2212yescomplemented
166#16837882C2218yescomplemented
167#16837878C2214yescomplemented
168#16837878C2214yescomplemented
169#41×Dic59C2211yescharacteristic
170C4×#11745689C2211yescharacteristic
171C4×#11745689C2211yescharacteristic
172C4×#11745689C2214yes—
173C4×#11745689C2212yes—
174C4×#11745689C2212yescomplemented
175C4×#11745689C2214yescomplemented
176C4×#11745689C2214yescomplemented
177C4×#11745685C2212yes—
178C4×#11745685C2211yescharacteristic
179#16837870C2212yes—
180#16837870C2211yescharacteristic
181#16837870C2214yescomplemented
182#16837870C2218yescomplemented
183#16837870C2212yescomplemented
184C4×#11745687C2212yes—
185C4×#11745687C2211yescharacteristic
186C4×#11745687C2212yes—
187C4×#11745687C2211yescharacteristic
188C2×Q8×Dic59C2212yescomplemented
189C2×#14273692C2212yescomplemented
190C4×Q8×D59C2211yescharacteristic
191C4×Q8×D59C2211yescharacteristic
192C4×Q8×D59C2214yescomplemented
193C4×Q8×D59C2214yescomplemented
194C4×Q8×D59C2214yescomplemented
195C4×D4×D59C2212yes—
196C4×D4×D59C2211yescharacteristic
197C4×D4×D59C2212yes—
198C4×D4×D59C2211yescharacteristic
199C2×#14273685C2212yes—
200#117×D59C2211yescharacteristic
201#117×D59C2212yes—
202#117×D59C2214yes—
203C2×C42×D59C2212yes—
204C2×C42×D59C2211yescharacteristic
205C59×#557C2212yescomplemented
206C59×#557C2212yescomplemented
207C59×#556C2212yescomplemented
208C59×#556C2212yescomplemented
209C59×#552C2214yescomplemented
210C59×#552C2214yescomplemented
211C59×#541C2214yescomplemented
212C59×#536C2212yes—
213C59×#533C2212yescomplemented
214C59×#533C2212yescomplemented
215C59×#533C2211yescharacteristic, complemented
216C2×C4⋊Q8×C59C2211yescharacteristic, complemented
217C59×#519C2212yescomplemented
218C4×#41×C59C2211yescharacteristic
219#14273775—216no—
220C2×#11745689C2312yes—
221C2×#11745689C2314yes—
222C2×#11745689C2311yescharacteristic
223C2×#11745689C2314yes—
224C2×#11745689C2312yes—
225C2×#11745685C2312yes—
226C2×#11745685C2312yes—
227C2×#11745685C2318yes—
228C2×#11745685C2314yes—
229C2×#11745685C2311yescharacteristic
230C2×#11745687C2312yes—
231C2×#11745687C2311yescharacteristic
232#41×D59—28no—
233C22×Dic118C2312yes—
234C2×Q8×D59C2314yes—
235C2×Q8×D59C2311yescharacteristic
236C2×Q8×D59C2314yes—
237C2×Q8×D59C2314yes—
238C2×D4×D59C2312yes—
239C2×D4×D59C2311yescharacteristic
240C22×C4×D59C2312yes—
241C22×C4×D59C2311yescharacteristic
242C22×C4×D59C2312yes—
243C22×C4×D59C2311yescharacteristic
244C22×C4×D59C2312yes—
245C22×C4×D59C2311yescharacteristic
246#14273727C2311yescharacteristic
247#14273727C2312yes—
248#14273727C2312yes—
249#14273727C2312yes—
250#14273727C2312yes—
251#14273727C2314yes—
252#14273726C2314yes—
253#14273726C2314yes—
254#14273726C2314yes—
255#14273726C2314yes—
256#14273726C2318yes—
257#14273726C2318yes—
258#14273725C2314yes—
259#14273725C2314yes—
260#14273724C2311yescharacteristic
261#14273722C2318yes—
262#14273722C2318yes—
263#14273722C2314yes—
264#14273722C2314yes—
265#14273722C2318yes—
266#14273722C2318yes—
267#14273722C2318yes—
268#14273721C2318yes—
269#14273721C2318yes—
270#14273720C2318yes—
271#14273720C2318yes—
272#14273719C2314yes—
273#14273719C2314yes—
274#14273719C2318yes—
275#14273718C2312yes—
276#14273718C2314yes—
277#14273718C2314yes—
278#14273718C2314yes—
279#14273718C2314yes—
280#14273718C2314yes—
281#14273718C2312yes—
282#14273718C2318yes—
283#14273717C2318yes—
284#14273717C2318yes—
285#14273717C2318yes—
286#14273717C2318yes—
287#14273717C2318yes—
288#14273716C2312yes—
289#14273716C2314yes—
290#14273716C2312yes—
291#14273715C2312yes—
292#14273715C2314yes—
293#14273715C2318yes—
294#14273713C2318yes—
295#14273713C2318yes—
296#14273713C2318yes—
297#14273712C2318yes—
298#14273712C2314yes—
299#14273712C2314yes—
300#14273712C2318yes—
301#14273712C2318yes—
302#14273712C2318yes—
303#14273712C2318yes—
304#14273712C2318yes—
305#14273711C2318yes—
306#14273711C2314yes—
307#14273710C2318yes—
308#14273709C2318yes—
309#14273709C2318yes—
310#14273709C2318yes—
311#14273707C2312yes—
312#14273707C2314yes—
313#14273707C2314yes—
314#14273707C2314yes—
315#14273707C2314yes—
316#14273707C2312yes—
317#14273707C2314yes—
318#14273707C2318yes—
319#14273707C2318yes—
320#14273706C2314yes—
321#14273706C2314yes—
322#14273705C2318yes—
323#14273705C2318yes—
324#14273705C2318yes—
325#14273705C2318yes—
326#14273705C2318yes—
327#14273705C2318yes—
328#14273705C2318yes—
329#14273705C2318yes—
330#14273704C2318yes—
331#14273704C2318yes—
332#14273704C2318yes—
333#14273703C2312yes—
334#14273703C2314yes—
335#14273703C2314yes—
336#14273703C2314yes—
337#14273703C2314yes—
338#14273703C2314yes—
339#14273703C2312yes—
340#14273703C2314yes—
341#14273703C2314yes—
342#14273703C2314yes—
343#14273702C2312yes—
344#14273702C2312yes—
345#14273702C2312yes—
346#14273702C2314yes—
347#14273702C2314yes—
348#14273702C2312yes—
349#14273702C2318yes—
350#14273701C2314yes—
351#14273701C2312yes—
352#14273701C2312yes—
353#14273701C2314yes—
354#14273700C2318yes—
355#14273700C2318yes—
356#14273699C2318yes—
357#14273698C2314yes—
358#14273697C2314yes—
359#14273697C2318yes—
360Q8×Dic59C2314yes—
361Q8×Dic59C2312yes—
362Q8×Dic59C2314yes—
363Q8×Dic59C2312yes—
364Q8×Dic59C2314yes—
365Q8×Dic59C2314yes—
366Q8×Dic59C2314yes—
367Q8×Dic59C2311yescharacteristic
368Q8×Dic59C2311yescharacteristic
369C4×Dic118C2318yes—
370C4×Dic118C2318yes—
371C4×Dic118C2314yes—
372C4×Dic118C2314yes—
373C4×Dic118C2314yes—
374C4×Dic118C2311yescharacteristic
375C4×Dic118C2311yescharacteristic
376C4×Dic118C2318yes—
377C4×Dic118C2312yes—
378C4×Dic118C2312yes—
379#14273692C2318yes—
380#14273692C2314yes—
381#14273692C2318yes—
382#14273692C2312yes—
383#14273692C2314yes—
384#14273692C2312yes—
385#14273692C2314yes—
386#14273692C2314yes—
387#14273692C2314yes—
388#14273692C2312yes—
389#14273692C2312yes—
390#14273692C2318yes—
391#14273692C2311yescharacteristic
392#14273692C2311yescharacteristic
393C4×D236C2314yes—
394C4×D236C2318yes—
395C4×D236C2318yes—
396C4×D236C2314yes—
397C4×D236C2314yes—
398C4×D236C2312yes—
399C4×D236C2312yes—
400C4×D236C2314yes—
401C4×D236C2314yes—
402C4×D236C2311yescharacteristic
403C4×D236C2311yescharacteristic
404C4×D236C2312yes—
405C4×D236C2318yes—
406C4×D236C2312yes—
407D4×Dic59C2312yes—
408D4×Dic59C2311yescharacteristic
409D4×Dic59C2312yes—
410D4×Dic59C2311yescharacteristic
411#14273689C2314yes—
412#14273689C2318yes—
413#14273689C2318yes—
414#14273689C2314yes—
415#14273689C2312yes—
416#14273689C2314yes—
417#14273689C2312yes—
418#14273689C2312yes—
419#14273689C2312yes—
420#14273689C2314yes—
421#14273689C2312yes—
422#14273689C2312yes—
423#14273689C2318yes—
424#14273689C2311yescharacteristic
425#14273689C2311yescharacteristic
426C4×C22⋊D59C2312yes—
427C4×C22⋊D59C2312yes—
428C4×C22⋊D59C2312yes—
429C4×C22⋊D59C2312yes—
430C4×C22⋊D59C2312yes—
431C4×C22⋊D59C2312yes—
432(C22⋊D59)⋊C4C2314yes—
433(C22⋊D59)⋊C4C2318yes—
434(C22⋊D59)⋊C4C2314yes—
435(C22⋊D59)⋊C4C2318yes—
436(C22⋊D59)⋊C4C2312yes—
437(C22⋊D59)⋊C4C2312yes—
438(C22⋊D59)⋊C4C2312yes—
439(C22⋊D59)⋊C4C2312yes—
440(C22⋊D59)⋊C4C2318yes—
441(C22⋊D59)⋊C4C2318yes—
442(C22⋊D59)⋊C4C2312yes—
443(C22⋊D59)⋊C4C2312yes—
444#14273686C2314yes—
445#14273686C2311yescharacteristic
446#14273686C2312yes—
447#14273685C2314yes—
448#14273685C2312yes—
449#14273685C2314yes—
450#14273685C2312yes—
451#14273685C2318yes—
452#14273685C2314yes—
453#14273685C2314yes—
454#14273685C2318yes—
455#14273685C2314yes—
456#14273685C2314yes—
457#14273685C2314yes—
458#14273685C2318yes—
459#14273685C2312yes—
460#14273685C2312yes—
461#14273685C2314yes—
462#14273685C2311yescharacteristic
463#14273685C2311yescharacteristic
464#14273684C2314yes—
465#14273684C2318yes—
466#14273684C2318yes—
467#14273684C2312yes—
468#14273684C2312yes—
469#14273684C2318yes—
470#14273684C2318yes—
471#14273684C2312yes—
472#14273683C2318yes—
473#14273683C2312yes—
474#14273683C2312yes—
475#14273683C2312yes—
476C2×C4⋊Dic59C2312yes—
477C2×C4⋊Dic59C2314yes—
478C2×C4⋊Dic59C2312yes—
479C2×Dic59⋊C4C2314yes—
480C4⋊C4×D59C2318yes—
481C4⋊C4×D59C2318yes—
482C4⋊C4×D59C2314yes—
483C4⋊C4×D59C2314yes—
484C4⋊C4×D59C2314yes—
485C4⋊C4×D59C2314yes—
486C4⋊C4×D59C2318yes—
487C4⋊C4×D59C2314yes—
488C4⋊C4×D59C2312yes—
489C4⋊C4×D59C2311yescharacteristic
490C4⋊C4×D59C2312yes—
491C4⋊C4×D59C2311yescharacteristic
492C2×(C2×D59)⋊C4C2314yes—
493C22⋊C4×D59C2318yes—
494C22⋊C4×D59C2312yes—
495C22⋊C4×D59C2312yes—
496C22⋊C4×D59C2312yes—
497C2×C4×Dic59C2311yescharacteristic
498C2×C4×Dic59C2314yes—
499C2×C4×Dic59C2312yes—
500C2×C4×Dic59C2312yes—
501C2×C4×Dic59C2311yescharacteristic
502C2×C4×Dic59C2312yes—
503C2×C4×Dic59C2311yescharacteristic
504C42×D59C2312yes—
505C42×D59C2314yes—
506C42×D59C2318yes—
507C42×D59C2318yes—
508C42×D59C2312yes—
509C42×D59C2311yescharacteristic
510C42×D59C2311yescharacteristic
511C42×D59C2312yes—
512C42×D59C2312yes—
513C42×D59C2311yescharacteristic
514C42×D59C2311yescharacteristic
515C42×D59C2312yes—
516C42×D59C2311yescharacteristic
517C42×D59C2311yescharacteristic
518C42×D59C2311yescharacteristic
519C42×D59C2311yescharacteristic
520C42×D59C2312yes—
521C42×D59C2312yes—
522C2×#41×C59C2311yescharacteristic
523C22×Q8×C59C2312yes—
524C4⋊Q8×C59C2311yescharacteristic
525C4⋊Q8×C59C2312yes—
526C4⋊Q8×C59C2311yescharacteristic
527C4⋊Q8×C59C2312yes—
528C4⋊Q8×C59C2312yes—
529C4⋊Q8×C59C2312yes—
530C4⋊Q8×C59C2314yes—
531#126×C59C2318yes—
532#126×C59C2318yes—
533#125×C59C2314yes—
534#125×C59C2312yes—
535#125×C59C2314yes—
536#125×C59C2318yes—
537#125×C59C2318yes—
538#124×C59C2314yes—
539#123×C59C2318yes—
540C22⋊Q8×C59C2314yes—
541C22⋊Q8×C59C2314yes—
542C22⋊Q8×C59C2314yes—
543C22⋊Q8×C59C2312yes—
544C22⋊Q8×C59C2314yes—
545C22⋊Q8×C59C2312yes—
546C4×Q8×C59C2314yes—
547C4×Q8×C59C2312yes—
548C4×Q8×C59C2314yes—
549C4×Q8×C59C2312yes—
550C4×Q8×C59C2314yes—
551C4×Q8×C59C2314yes—
552C4×Q8×C59C2311yescharacteristic
553C4×Q8×C59C2311yescharacteristic
554C4×Q8×C59C2314yes—
555C4×Q8×C59C2314yes—
556C4×D4×C59C2311yescharacteristic
557C4×D4×C59C2312yes—
558C4×D4×C59C2312yes—
559C4×D4×C59C2311yescharacteristic
560#117×C59C2312yes—
561#117×C59C2314yes—
562#117×C59C2314yes—
563#117×C59C2312yes—
564#117×C59C2311yescharacteristic
565#117×C59C2318yes—
566C2×C4⋊C4×C59C2312yes—
567C2×C4⋊C4×C59C2312yes—
568C2×C42×C59C2311yescharacteristic
569C2×C42×C59C2312yes—
570C23×D59C2412yes—
571C23×D59C2411yescharacteristic
572#41×C59—24no—
573C2×Q8×C59—28no—
574C2×Q8×C59C2412yes—
575C2×Q8×C59C2412yes—
576C2×Q8×C59C2414yes—
577C2×Q8×C59C2414yes—
578C2×Q8×C59C2411yescharacteristic
579C2×D4×C59C2412yes—
580C2×D4×C59C2411yescharacteristic
581C22×C4×C59C2411yescharacteristic
582C22×C4×C59C2411yescharacteristic
583C22×C4×C59C2412yes—
584C22×C4×C59C2412yes—
585C22×C4×C59C2412yes—
586C22×C4×C59C2414yes—
587C22×C4×C59C2411yescharacteristic
588C2×C22⋊D59C2414yes—
589C2×C22⋊D59C2412yes—
590C2×C22⋊D59C2412yes—
591C2×C22⋊D59C2418yes—
592C2×C22⋊D59C2412yes—
593C22×Dic59C2411yescharacteristic
594C22×Dic59C2411yescharacteristic
595C22×Dic59C2412yes—
596C22×Dic59C2412yes—
597C22×Dic59C2411yescharacteristic
598C22×Dic59C2412yes—
599C22×Dic59C2414yes—
600#11745689—24no—
601#11745689—216no—
602#11745689—216no—
603#11745689—28no—
604#11745689—44no—
605Q8×D59—216no—
606Q8×D59—24no—
607Q8×D59—216no—
608Q8×D59—48no—
609#11745687—28no—
610#11745687—24no—
611D4×D59—28no—
612D4×D59—24no—
613#11745685—28no—
614#11745685—232no—
615#11745685—28no—
616#11745685—48no—
617#11745685#4118yescomplemented
618C2×D236C2414yes—
619C2×D236C2412yes—
620C2×D236C2412yes—
621C2×D236C2418yes—
622C2×D236C2412yes—
623C2×D236C2412yes—
624C2×D236C2414yes—
625C2×D236C2411yescharacteristic
626C2×C4×D59—24no—
627C2×C4×D59—28no—
628C2×C4×D59—28no—
629C2×C4×D59—24no—
630C2×C4×D59—44no—
631C2×C4×D59—42no—
632C2×C4×D59C2412yes—
633C2×C4×D59C2411yescharacteristic
634C2×C4×D59C2411yescharacteristic
635C2×C4×D59C2414yes—
636C2×C4×D59C2412yes—
637C2×C4×D59C2411yescharacteristic
638C2×C4×D59C2412yes—
639C2×C4×D59C2412yes—
640C2×C4×D59C2412yes—
641C2×C4×D59C2412yes—
642C2×C4×D59C2411yescharacteristic
643C2×C4×D59C2411yescharacteristic
644C2×C4×D59C2411yescharacteristic
645C2×C4×D59C2411yescharacteristic
646C2×C4×D59C2411yescharacteristic
647C2×C4×D59C2411yescharacteristic
648C2×C4×D59C2418yes—
649C2×C4×D59C2418yes—
650C2×C4×D59C2414yes—
651C2×C4×D59C2411yescharacteristic
652C2×C4×D59C2412yes—
653C2×C4×D59C2412yes—
654C2×C4×D59C2411yescharacteristic
655C2×C4×D59C2418yes—
656C2×C4×D59C2418yes—
657C2×C4×D59C2414yes—
658C2×C4×D59C2412yes—
659C2×C4×D59C2411yescharacteristic
660C2×Dic118—44no—
661C2×Dic118C2414yes—
662C2×Dic118C2418yes—
663C2×Dic118C2412yes—
664C2×Dic118C2412yes—
665C2×Dic118C2414yes—
666C2×Dic118C2418yes—
667C2×Dic118C2411yescharacteristic
668C4⋊C4×C59C2414yes—
669C4⋊C4×C59C2414yes—
670C4⋊C4×C59C2414yes—
671C4⋊C4×C59C2414yes—
672C4⋊C4×C59C2412yes—
673C4⋊C4×C59C2412yes—
674C4⋊C4×C59C2411yescharacteristic
675C4⋊C4×C59C2411yescharacteristic
676C4⋊C4×C59C2412yes—
677C4⋊C4×C59C2412yes—
678C4⋊C4×C59C2412yes—
679C4⋊C4×C59C2412yes—
680C4⋊C4×C59C2418yes—
681C4⋊C4×C59C2418yes—
682C4⋊C4×C59C2418yes—
683C4⋊C4×C59C2418yes—
684C4⋊C4×C59C2414yes—
685C4⋊C4×C59C2414yes—
686C22⋊C4×C59C2412yes—
687C22⋊C4×C59C2414yes—
688C22⋊C4×C59C2412yes—
689C22⋊C4×C59C2412yes—
690C22⋊C4×C59C2418yes—
691C22⋊C4×C59C2418yes—
692C42×C59C2411yescharacteristic
693C42×C59C2412yes—
694C42×C59C2411yescharacteristic
695C42×C59C2412yes—
696C42×C59C2412yes—
697C42×C59C2411yescharacteristic
698C42×C59C2411yescharacteristic
699C42×C59C2418yes—
700C42×C59C2418yes—
701C42×C59C2414yes—
702C22⋊Dic59C2412yes—
703C22⋊Dic59C2412yes—
704C22⋊Dic59C2412yes—
705C22⋊Dic59C2418yes—
706(C2×D59)⋊C4C2414yes—
707(C2×D59)⋊C4C2418yes—
708(C2×D59)⋊C4C2412yes—
709(C2×D59)⋊C4C2412yes—
710(C2×D59)⋊C4C2412yes—
711(C2×D59)⋊C4C2412yes—
712(C2×D59)⋊C4C2412yes—
713(C2×D59)⋊C4C2412yes—
714(C2×D59)⋊C4C2418yes—
715(C2×D59)⋊C4C2414yes—
716(C2×D59)⋊C4C2414yes—
717(C2×D59)⋊C4C2418yes—
718(C2×D59)⋊C4C2418yes—
719(C2×D59)⋊C4C2414yes—
720(C2×D59)⋊C4C2418yes—
721(C2×D59)⋊C4C2414yes—
722(C2×D59)⋊C4C2418yes—
723(C2×D59)⋊C4C2414yes—
724(C2×D59)⋊C4C2414yes—
725(C2×D59)⋊C4C2414yes—
726(C2×D59)⋊C4C2418yes—
727C4⋊Dic59C2412yes—
728C4⋊Dic59C2412yes—
729C4⋊Dic59C2414yes—
730C4⋊Dic59C2414yes—
731C4⋊Dic59C2414yes—
732C4⋊Dic59C2414yes—
733C4⋊Dic59C2418yes—
734C4⋊Dic59C2418yes—
735C4⋊Dic59C2411yescharacteristic
736C4⋊Dic59C2411yescharacteristic
737C4⋊Dic59C2412yes—
738C4⋊Dic59C2412yes—
739C4⋊Dic59C2414yes—
740C4⋊Dic59C2418yes—
741C4⋊Dic59C2414yes—
742Dic59⋊C4C2412yes—
743Dic59⋊C4C2418yes—
744Dic59⋊C4C2414yes—
745Dic59⋊C4C2418yes—
746Dic59⋊C4C2418yes—
747Dic59⋊C4C2412yes—
748Dic59⋊C4C2412yes—
749Dic59⋊C4C2412yes—
750Dic59⋊C4C2412yes—
751Dic59⋊C4C2412yes—
752Dic59⋊C4C2418yes—
753Dic59⋊C4C2418yes—
754Dic59⋊C4C2418yes—
755Dic59⋊C4C2418yes—
756Dic59⋊C4C2418yes—
757Dic59⋊C4C2414yes—
758Dic59⋊C4C2418yes—
759C4×Dic59C2412yes—
760C4×Dic59C2411yescharacteristic
761C4×Dic59C2411yescharacteristic
762C4×Dic59C2411yescharacteristic
763C4×Dic59C2411yescharacteristic
764C4×Dic59C2414yes—
765C4×Dic59C2412yes—
766C4×Dic59C2411yescharacteristic
767C4×Dic59C2411yescharacteristic
768C4×Dic59C2412yes—
769C4×Dic59C2418yes—
770C4×Dic59C2411yescharacteristic
771C4×Dic59C2411yescharacteristic
772C4×Dic59C2412yes—
773C4×Dic59C2411yescharacteristic
774C4×Dic59C2412yes—
775C4×Dic59C2412yes—
776C4×Dic59C2411yescharacteristic
777C4×Dic59C2412yes—
778C4×Dic59C2411yescharacteristic
779C4×Dic59C2412yes—
780C4×Dic59C2411yescharacteristic
781C4×Dic59C2412yes—
782C4×Dic59C2418yes—
783C4×Dic59C2414yes—
784C4×Dic59C2418yes—
785C4×Dic59C2418yes—
786C23×C59C2512yes—
787C23×C59C2511yescharacteristic
788C22×D59—22no—
789C22×D59—24no—
790C22×D59—24no—
791C22×D59—22no—
792C22×D59—42no—
793C22×D59—41no—
794C22×D59C2511yescharacteristic
795C22×D59C2514yes—
796C22×D59C2512yes—
797C22×D59C2511yescharacteristic
798Q8×C59—28no—
799Q8×C59—28no—
800Q8×C59—22no—
801Q8×C59—24no—
802Q8×C59—24no—
803D4×C59—24no—
804D4×C59—22no—
805C2×C4×C59—28no—
806C2×C4×C59—24no—
807C2×C4×C59—22no—
808C2×C4×C59—24no—
809C2×C4×C59—22no—
810C2×C4×C59—24no—
811C2×C4×C59C2×#4114yes—
812C2×C4×C59C2512yes—
813C2×C4×C59C2514yes—
814C2×C4×C59C2512yes—
815C2×C4×C59C2518yes—
816C2×C4×C59C2512yes—
817C2×C4×C59C2511yescharacteristic
818C2×C4×C59C2511yescharacteristic
819C2×C4×C59C2514yes—
820C2×C4×C59C2511yescharacteristic
821C2×C4×C59C2511yescharacteristic
822C2×C4×C59C2511yescharacteristic
823C2×C4×C59C2511yescharacteristic
824C22⋊D59—28no—
825C22⋊D59—24no—
826C22⋊D59—24no—
827C22⋊D59—48no—
828C22⋊D59C2×#4118yes—
829C2×Dic59—22no—
830C2×Dic59—24no—
831C2×Dic59—22no—
832C2×Dic59—24no—
833C2×Dic59—44no—
834C2×Dic59—42no—
835C2×Dic59—41no—
836C2×Dic59C2511yescharacteristic
837C2×Dic59C2511yescharacteristic
838C2×Dic59C2511yescharacteristic
839C2×Dic59C2511yescharacteristic
840C2×Dic59C2512yes—
841C2×Dic59C2511yescharacteristic
842C2×Dic59C2514yes—
843C2×Dic59C2518yes—
844C2×Dic59C2512yes—
845C2×Dic59C2512yes—
846C2×Dic59C2511yescharacteristic
847D236—24no—
848D236—216no—
849D236—28no—
850D236—24no—
851D236—24no—
852D236—24no—
853D236—44no—
854D236C2×#4114yes—
855C4×D59—24no—
856C4×D59—216no—
857C4×D59—24no—
858C4×D59—22no—
859C4×D59—22no—
860C4×D59—22no—
861C4×D59—22no—
862C4×D59—22no—
863C4×D59—28no—
864C4×D59—24no—
865C4×D59—22no—
866C4×D59—22no—
867C4×D59—24no—
868C4×D59—22no—
869C4×D59—24no—
870C4×D59—216no—
871C4×D59—24no—
872C4×D59—22no—
873C4×D59—28no—
874C4×D59—42no—
875C4×D59—41no—
876C4×D59—41no—
877C4×D59—42no—
878C4×D59—48no—
879C4×D59—48no—
880C4×D59—44no—
881C4×D59C2×#4118yes—
882C4×D592−1+414yescomplemented
883Dic118—24no—
884Dic118—28no—
885Dic118—24no—
886Dic118—216no—
887Dic118—44no—
888Dic118—48no—
889Dic118C2×#4114yes—
890#62805—591nomaximal, Sylow
891C22×C59—21no—
892C22×C59—21no—
893C22×C59—22no—
894C22×C59—22no—
895C22×C59—22no—
896C22×C59C22×#4112yes—
897C22×C59C2611yescharacteristic
898C2×D59—21no—
899C2×D59—22no—
900C2×D59—22no—
901C2×D59—21no—
902C2×D59—24no—
903C2×D59—21no—
904C2×D59—21no—
905C2×D59—24no—
906C2×D59—21no—
907C2×D59—24no—
908C2×D59—48no—
909C2×D59—44no—
910C2×D59C22×#4114yes—
911C2×D59C2×2−1+412yes—
912C4×C59—22no—
913C4×C59—28no—
914C4×C59—22no—
915C4×C59—21no—
916C4×C59—24no—
917C4×C59—21no—
918C4×C59—24no—
919C4×C59—22no—
920C4×C59C22×#4112yes—
921C4×C59C22×#4112yes—
922C4×C59C2×2−1+412yes—
923C4×C59#58512yes—
924Dic59—24no—
925Dic59—21no—
926Dic59—21no—
927Dic59—21no—
928Dic59—22no—
929Dic59—28no—
930Dic59—22no—
931Dic59—21no—
932Dic59—21no—
933Dic59C22×#4114yes—
934Dic59C2×2−1+412yes—
935#3523—592no—
936#3520—592no—
937#3520—594no—
938#3518—592no—
939#3515—592no—
940#3515—594no—
941#3511—592no—
942#3511—591no—
943#3509—592no—
944#3509D5911yescharacteristic, complemented
945#3503—591no—
946#3499—591no—
947#3495—594no—
948#3495—592no—
949#3489—592no—
950#3482—592no—
951#3482—592no—
952#3482—594no—
953Q8×#41—592no—
954#3475—592no—
955#3475—594no—
956#3461—594no—
957#3461—592no—
958#3444—592no—
959#3444—591no—
960C2×#533—592no—
961C2×#533—591no—
962C4×2−1+4—592no—
963C2×C4×#41—591no—
964C2×C59—22no—
965C2×C59—42no—
966C2×C59C23×#4111yescharacteristic
967C2×C59C22×2−1+411yescharacteristic
968C2×C59C2×#58511yescharacteristic
969D59—22no—
970D59—24no—
971D59—44no—
972D59—41no—
973C2×2−1+4—592no—
974C22×#41—591no—
975Q82—592no—
976#557—594no—
977#557—594no—
978#557—592no—
979#557C2×D5912yescomplemented
980#557C2×D5912yescomplemented
981#556—598no—
982#556—594no—
983#556—594no—
984#556—594no—
985#556—592no—
986#556—594no—
987#556C2×D5912yescomplemented
988#556C2×D5912yescomplemented
989#555—592no—
990#555—594no—
991#554—598no—
992#554—594no—
993#554—594no—
994#554—592no—
995#554—594no—
996#554—592no—
997#553—594no—
998#553—594no—
999#553—594no—
1000#552—598no—
1001#552—598no—
1002#552—598no—
1003#552—598no—
1004#552—594no—
1005#552—594no—
1006#552—594no—
1007#552—594no—
1008#552—594no—
1009#552—598no—
1010#552—594no—
1011#552C2×D5914yescomplemented
1012#552C2×D5914yescomplemented
1013#551—598no—
1014#551—598no—
1015#551—598no—
1016D4×Q8—594no—
1017D4×Q8—592no—
1018D4×Q8—592no—
1019D4×Q8—594no—
1020D4×Q8—592no—
1021#548—594no—
1022#548—594no—
1023#548—594no—
1024#548—594no—
1025#547—592no—
1026#547—594no—
1027#547—592no—
1028#547—598no—
1029#547—594no—
1030#547—592no—
1031#547—594no—
1032#547—594no—
1033#546—594no—
1034#546—598no—
1035#544—594no—
1036#544—592no—
1037#542—598no—
1038#542—594no—
1039#542—594no—
1040#542—594no—
1041#542—594no—
1042#541—594no—
1043#541—598no—
1044#541—594no—
1045#541—594no—
1046#541C2×D5914yescomplemented
1047#539—598no—
1048#539—598no—
1049#539—598no—
1050#537—592no—
1051#537—594no—
1052#536—592no—
1053#536—594no—
1054#536—594no—
1055#536C2×D5912yes—
1056#533—591no—
1057#533—592no—
1058#533—592no—
1059#533—592no—
1060#533—592no—
1061#533—592no—
1062#533—592no—
1063#533—592no—
1064#533—592no—
1065#533—592no—
1066#533—591no—
1067#533—594no—
1068#533—594no—
1069#533—598no—
1070#533—594no—
1071#533—594no—
1072#533—594no—
1073#533—594no—
1074#533—594no—
1075#533—592no—
1076#533C2×D5912yescomplemented
1077#533C2×D5911yescharacteristic, complemented
1078#533C2×D5912yescomplemented
1079#532—591no—
1080#532—592no—
1081#532—591no—
1082#532—591no—
1083#532—592no—
1084C2×C4⋊Q8—592no—
1085C2×C4⋊Q8—592no—
1086C2×C4⋊Q8—591no—
1087C2×C4⋊Q8C2×D5911yescharacteristic, complemented
1088#529—598no—
1089#529—598no—
1090#529—592no—
1091#529—594no—
1092#529—592no—
1093#529—594no—
1094#529—598no—
1095#529—594no—
1096#529—598no—
1097#529—594no—
1098#529—592no—
1099#529—592no—
1100#529—594no—
1101#529—594no—
1102#529—592no—
1103#529—594no—
1104#529—592no—
1105C2×#125—594no—
1106C2×#125—592no—
1107#525—594no—
1108#525—592no—
1109#525—594no—
1110#525—592no—
1111#525—592no—
1112#525—594no—
1113C2×C22⋊Q8—592no—
1114C2×C22⋊Q8—594no—
1115C2×C22⋊Q8—594no—
1116C2×C22⋊Q8—592no—
1117#520—594no—
1118#520—594no—
1119#520—592no—
1120#520—592no—
1121#520—598no—
1122#519—594no—
1123#519—594no—
1124#519C2×D5912yescomplemented
1125C4×#41—591no—
1126C4×#41—591no—
1127C4×#41—591no—
1128C4×#41—594no—
1129C4×#41—594no—
1130C4×#41—594no—
1131C4×#41—592no—
1132C4×#41—592no—
1133C4×#41—592no—
1134C4×#41—591no—
1135C4×#41—592no—
1136C4×#41—591no—
1137C4×#41—591no—
1138C4×#41—592no—
1139C4×#41—592no—
1140C4×#41—598no—
1141C4×#41—594no—
1142C4×#41—591no—
1143C4×#41—592no—
1144C4×#41C2×D5911yescharacteristic
1145C2×C4×Q8—592no—
1146C2×C4×Q8—591no—
1147C2×C4×Q8—591no—
1148C2×C4×Q8—594no—
1149C2×C4×Q8—594no—
1150C2×C4×Q8—594no—
1151C2×C4×Q8—592no—
1152C2×C4×D4—592no—
1153C2×C4×D4—591no—
1154C2×C4×D4—592no—
1155C2×C4×D4—591no—
1156C2×#117—591no—
1157C2×#117—592no—
1158C2×#117—594no—
1159C2×#117—592no—
1160C22×C42—591no—
1161C22×C42—592no—
1162C59#6280511yescharacteristic, complemented, Sylow
11632−1+4—11816no—
1164C2×#41—592no—
1165C2×#41—591no—
1166C2×#41—594no—
1167C2×#41—594no—
1168C2×#41—592no—
1169C2×#41—592no—
1170C2×#41—591no—
1171C2×#41—591no—
1172C2×#41—592no—
1173C2×#41—592no—
1174C2×#41—598no—
1175C2×#41—594no—
1176C2×#41—1188no—
1177C2×#41C22×D5911yescharacteristic
1178C22×Q8—591no—
1179C22×Q8—594no—
1180C22×Q8—594no—
1181C22×Q8—594no—
1182C22×Q8—592no—
1183C22×Q8C22×D5912yes—
1184C22×D4—592no—
1185C22×D4—591no—
1186C23×C4—591no—
1187C23×C4—592no—
1188C23×C4—592no—
1189C23×C4—591no—
1190C23×C4—591no—
1191C23×C4—592no—
1192C4⋊Q8—594no—
1193C4⋊Q8—594no—
1194C4⋊Q8—594no—
1195C4⋊Q8—594no—
1196C4⋊Q8—594no—
1197C4⋊Q8—594no—
1198C4⋊Q8—598no—
1199C4⋊Q8—598no—
1200C4⋊Q8—591no—
1201C4⋊Q8—592no—
1202C4⋊Q8—592no—
1203C4⋊Q8—592no—
1204C4⋊Q8—592no—
1205C4⋊Q8—594no—
1206C4⋊Q8C22×D5911yescharacteristic
1207C4⋊Q8C22×D5912yes—
1208C4⋊Q8C22×D5912yes—
1209C4⋊Q8C22×D5912yes—
1210C4⋊Q8C22×D5912yes—
1211C4⋊Q8C22×D5911yescharacteristic
1212C4⋊Q8C22×D5914yes—
1213#127—591no—
1214#126—594no—
1215#126—598no—
1216#126—598no—
1217#126—594no—
1218#126—598no—
1219#126—598no—
1220#126—598no—
1221#126—598no—
1222#126—598no—
1223#126—598no—
1224#126—598no—
1225#126C22×D5918yes—
1226#126C22×D5918yes—
1227#125—592no—
1228#125—594no—
1229#125—598no—
1230#125—594no—
1231#125—598no—
1232#125—594no—
1233#125—594no—
1234#125—594no—
1235#125—592no—
1236#125—598no—
1237#125—598no—
1238#125—598no—
1239#125—598no—
1240#125—594no—
1241#125—594no—
1242#125—598no—
1243#125C22×D5914yes—
1244#125C22×D5912yes—
1245#125C22×D5914yes—
1246#125C22×D5918yes—
1247#125C22×D5918yes—
1248#124—592no—
1249#124—594no—
1250#124—592no—
1251#124—598no—
1252#124—598no—
1253#124—598no—
1254#124—592no—
1255#124—594no—
1256#124—598no—
1257#124C22×D5914yes—
1258#123—598no—
1259#123—594no—
1260#123—598no—
1261#123—594no—
1262#123—598no—
1263#123—598no—
1264#123—598no—
1265#123—598no—
1266#123—598no—
1267#123—598no—
1268#123—594no—
1269#123—598no—
1270#123—598no—
1271#123—598no—
1272#123C22×D5918yes—
1273C22⋊Q8—594no—
1274C22⋊Q8—592no—
1275C22⋊Q8—594no—
1276C22⋊Q8—594no—
1277C22⋊Q8—594no—
1278C22⋊Q8—594no—
1279C22⋊Q8—592no—
1280C22⋊Q8—594no—
1281C22⋊Q8—594no—
1282C22⋊Q8—594no—
1283C22⋊Q8—594no—
1284C22⋊Q8—594no—
1285C22⋊Q8—592no—
1286C22⋊Q8—594no—
1287C22⋊Q8—594no—
1288C22⋊Q8—598no—
1289C22⋊Q8—594no—
1290C22⋊Q8—598no—
1291C22⋊Q8—594no—
1292C22⋊Q8—592no—
1293C22⋊Q8—594no—
1294C22⋊Q8—598no—
1295C22⋊Q8—598no—
1296C22⋊Q8—598no—
1297C22⋊Q8—598no—
1298C22⋊Q8—598no—
1299C22⋊Q8—598no—
1300C22⋊Q8—598no—
1301C22⋊Q8—598no—
1302C22⋊Q8—598no—
1303C22⋊Q8—598no—
1304C22⋊Q8—598no—
1305C22⋊Q8C22×D5914yes—
1306C22⋊Q8C22×D5914yes—
1307C22⋊Q8C22×D5914yes—
1308C22⋊Q8C22×D5912yes—
1309C22⋊Q8C22×D5914yes—
1310C22⋊Q8C22×D5912yes—
1311#121—598no—
1312#121—594no—
1313#121—594no—
1314#121—592no—
1315#121—592no—
1316#121—594no—
1317#121—592no—
1318#121—592no—
1319#121—592no—
1320#121—594no—
1321#121—594no—
1322#121—592no—
1323#121—598no—
1324#121—598no—
1325#121—598no—
1326#120—598no—
1327#120—594no—
1328C4×Q8—594no—
1329C4×Q8—594no—
1330C4×Q8—592no—
1331C4×Q8—591no—
1332C4×Q8—591no—
1333C4×Q8—594no—
1334C4×Q8—594no—
1335C4×Q8—592no—
1336C4×Q8—594no—
1337C4×Q8—591no—
1338C4×Q8—598no—
1339C4×Q8—592no—
1340C4×Q8—594no—
1341C4×Q8—591no—
1342C4×Q8—592no—
1343C4×Q8—592no—
1344C4×Q8—594no—
1345C4×Q8—598no—
1346C4×Q8—594no—
1347C4×Q8—594no—
1348C4×Q8—592no—
1349C4×Q8—598no—
1350C4×Q8—594no—
1351C4×Q8—591no—
1352C4×Q8—591no—
1353C4×Q8—592no—
1354C4×Q8—592no—
1355C4×Q8—598no—
1356C4×Q8—594no—
1357C4×Q8—594no—
1358C4×Q8—598no—
1359C4×Q8—594no—
1360C4×Q8—598no—
1361C4×Q8C22×D5911yescharacteristic
1362C4×Q8C22×D5911yescharacteristic
1363C4×Q8C22×D5914yes—
1364C4×Q8C22×D5914yes—
1365C4×Q8C22×D5914yes—
1366C4×Q8C22×D5914yes—
1367C4×Q8C22×D5914yes—
1368C4×Q8C22×D5912yes—
1369C4×Q8C22×D5914yes—
1370C4×Q8C22×D5912yes—
1371C4×D4—591no—
1372C4×D4—592no—
1373C4×D4—592no—
1374C4×D4—591no—
1375C4×D4—592no—
1376C4×D4—592no—
1377C4×D4—592no—
1378C4×D4—592no—
1379C4×D4—592no—
1380C4×D4—592no—
1381C4×D4—591no—
1382C4×D4—591no—
1383C4×D4—592no—
1384C4×D4—592no—
1385C4×D4—598no—
1386C4×D4—592no—
1387C4×D4—592no—
1388C4×D4—592no—
1389C4×D4—598no—
1390C4×D4—594no—
1391C4×D4—598no—
1392C4×D4—594no—
1393C4×D4—594no—
1394C4×D4—594no—
1395C4×D4—592no—
1396C4×D4—592no—
1397C4×D4—592no—
1398C4×D4—592no—
1399C4×D4—592no—
1400C4×D4—592no—
1401C4×D4—592no—
1402C4×D4—594no—
1403C4×D4—594no—
1404C4×D4—598no—
1405C4×D4—598no—
1406C4×D4—598no—
1407C4×D4—598no—
1408C4×D4—591no—
1409C4×D4—591no—
1410C4×D4—592no—
1411C4×D4—592no—
1412C4×D4—598no—
1413C4×D4—594no—
1414C4×D4—594no—
1415C4×D4—598no—
1416C4×D4—594no—
1417C4×D4—594no—
1418C4×D4—598no—
1419C4×D4—592no—
1420C4×D4—592no—
1421C4×D4—594no—
1422C4×D4C22×D5911yescharacteristic
1423C4×D4C22×D5912yes—
1424C4×D4C22×D5912yes—
1425C4×D4C22×D5911yescharacteristic
1426#117—591no—
1427#117—592no—
1428#117—594no—
1429#117—592no—
1430#117—594no—
1431#117—591no—
1432#117—592no—
1433#117—592no—
1434#117—591no—
1435#117—594no—
1436#117—594no—
1437#117—594no—
1438#117—594no—
1439#117—598no—
1440#117—598no—
1441#117—594no—
1442#117—592no—
1443#117—598no—
1444#117—594no—
1445#117—594no—
1446#117—592no—
1447#117—592no—
1448#117—592no—
1449#117—598no—
1450#117—592no—
1451#117—592no—
1452#117—592no—
1453#117—598no—
1454#117—594no—
1455#117—598no—
1456#117—598no—
1457#117—598no—
1458#117C22×D5911yescharacteristic
1459#117C22×D5912yes—
1460#117C22×D5914yes—
1461#117C22×D5912yes—
1462#117C22×D5918yes—
1463#117C22×D5914yes—
1464C2×C4⋊C4—592no—
1465C2×C4⋊C4—594no—
1466C2×C4⋊C4—592no—
1467C2×C4⋊C4—594no—
1468C2×C4⋊C4—592no—
1469C2×C4⋊C4—591no—
1470C2×C4⋊C4—592no—
1471C2×C4⋊C4—591no—
1472C2×C4⋊C4—594no—
1473C2×C4⋊C4—594no—
1474C2×C4⋊C4—598no—
1475C2×C4⋊C4—594no—
1476C2×C4⋊C4—598no—
1477C2×C4⋊C4—594no—
1478C2×C4⋊C4—598no—
1479C2×C4⋊C4—594no—
1480C2×C4⋊C4C22×D5912yes—
1481C2×C4⋊C4C22×D5912yes—
1482C2×C22⋊C4—594no—
1483C2×C22⋊C4—592no—
1484C2×C22⋊C4—592no—
1485C2×C22⋊C4—592no—
1486C2×C22⋊C4—598no—
1487C2×C42—594no—
1488C2×C42—591no—
1489C2×C42—591no—
1490C2×C42—592no—
1491C2×C42—591no—
1492C2×C42—592no—
1493C2×C42—592no—
1494C2×C42—591no—
1495C2×C42—592no—
1496C2×C42—598no—
1497C2×C42—591no—
1498C2×C42—592no—
1499C2×C42—592no—
1500C2×C42—591no—
1501C2×C42—592no—
1502C2×C42—592no—
1503C2×C42—594no—
1504C2×C42—598no—
1505C2×C42—591no—
1506C2×C42—592no—
1507C2×C42—591no—
1508C2×C42—591no—
1509C2×C42—592no—
1510C2×C42—591no—
1511C2×C42—591no—
1512C2×C42C22×D5911yescharacteristic
1513C2×C42C22×D5912yes—
1514C24—592no—
1515C24—591no—
1516#41—24no—
1517#41—598no—
1518#41—1188no—
1519#41—11832no—
1520#41—11816no—
1521#41—1188no—
1522#41—1188no—
1523#41—1184no—
1524#41—1184no—
1525#41—11816no—
1526#41—1188no—
1527#41—2368no—
1528#41—2364no—
1529C2×Q8—28no—
1530C2×Q8—591no—
1531C2×Q8—598no—
1532C2×Q8—592no—
1533C2×Q8—594no—
1534C2×Q8—592no—
1535C2×Q8—598no—
1536C2×Q8—594no—
1537C2×Q8—11816no—
1538C2×Q8—1184no—
1539C2×Q8—11816no—
1540C2×Q8—2364no—
1541C2×Q8—2368no—
1542C2×Q8C23×D5912yes—
1543C2×Q8C23×D5914yes—
1544C2×Q8C23×D5911yescharacteristic
1545C2×Q8C23×D5914yes—
1546C2×Q8C23×D5912yes—
1547C2×D4—592no—
1548C2×D4—594no—
1549C2×D4—592no—
1550C2×D4—592no—
1551C2×D4—598no—
1552C2×D4—591no—
1553C2×D4—594no—
1554C2×D4—592no—
1555C2×D4—598no—
1556C2×D4—592no—
1557C2×D4—592no—
1558C2×D4—592no—
1559C2×D4—594no—
1560C2×D4—1188no—
1561C2×D4—1184no—
1562C2×D4C23×D5912yes—
1563C2×D4C23×D5911yescharacteristic
1564C22×C4—591no—
1565C22×C4—592no—
1566C22×C4—591no—
1567C22×C4—591no—
1568C22×C4—592no—
1569C22×C4—592no—
1570C22×C4—591no—
1571C22×C4—592no—
1572C22×C4—594no—
1573C22×C4—592no—
1574C22×C4—591no—
1575C22×C4—591no—
1576C22×C4—594no—
1577C22×C4—591no—
1578C22×C4—592no—
1579C22×C4—592no—
1580C22×C4—592no—
1581C22×C4—592no—
1582C22×C4—592no—
1583C22×C4—591no—
1584C22×C4—591no—
1585C22×C4—591no—
1586C22×C4—591no—
1587C22×C4—591no—
1588C22×C4—591no—
1589C22×C4—598no—
1590C22×C4—598no—
1591C22×C4—594no—
1592C22×C4—591no—
1593C22×C4—592no—
1594C22×C4—592no—
1595C22×C4—591no—
1596C22×C4—598no—
1597C22×C4—594no—
1598C22×C4—598no—
1599C22×C4—1188no—
1600C22×C4—1184no—
1601C22×C4—1188no—
1602C22×C4—1184no—
1603C22×C4—2362no—
1604C22×C4—2364no—
1605C22×C4C23×D5911yescharacteristic
1606C22×C4C23×D5911yescharacteristic
1607C22×C4C23×D5912yes—
1608C22×C4C23×D5912yes—
1609C22×C4C23×D5912yes—
1610C22×C4C23×D5914yes—
1611C22×C4C23×D5911yescharacteristic
1612C4⋊C4—592no—
1613C4⋊C4—594no—
1614C4⋊C4—592no—
1615C4⋊C4—598no—
1616C4⋊C4—594no—
1617C4⋊C4—594no—
1618C4⋊C4—592no—
1619C4⋊C4—598no—
1620C4⋊C4—594no—
1621C4⋊C4—598no—
1622C4⋊C4—598no—
1623C4⋊C4—598no—
1624C4⋊C4—594no—
1625C4⋊C4—592no—
1626C4⋊C4—592no—
1627C4⋊C4—592no—
1628C4⋊C4—592no—
1629C4⋊C4—591no—
1630C4⋊C4—592no—
1631C4⋊C4—591no—
1632C4⋊C4—592no—
1633C4⋊C4—592no—
1634C4⋊C4—598no—
1635C4⋊C4—598no—
1636C4⋊C4—594no—
1637C4⋊C4—598no—
1638C4⋊C4—598no—
1639C4⋊C4—598no—
1640C4⋊C4—594no—
1641C4⋊C4—598no—
1642C4⋊C4—598no—
1643C4⋊C4—594no—
1644C4⋊C4C23×D5911yescharacteristic
1645C4⋊C4C23×D5912yes—
1646C4⋊C4C23×D5912yes—
1647C4⋊C4C23×D5918yes—
1648C4⋊C4C23×D5914yes—
1649C4⋊C4C23×D5914yes—
1650C4⋊C4C23×D5911yescharacteristic
1651C4⋊C4C23×D5912yes—
1652C4⋊C4C23×D5912yes—
1653C4⋊C4C23×D5918yes—
1654C4⋊C4C23×D5914yes—
1655C4⋊C4C23×D5914yes—
1656C4⋊C4C23×D5912yes—
1657C4⋊C4C23×D5918yes—
1658C4⋊C4C23×D5912yes—
1659C4⋊C4C23×D5914yes—
1660C4⋊C4C23×D5914yes—
1661C4⋊C4C23×D5918yes—
1662C22⋊C4—592no—
1663C22⋊C4—592no—
1664C22⋊C4—592no—
1665C22⋊C4—598no—
1666C22⋊C4—598no—
1667C22⋊C4—594no—
1668C22⋊C4—592no—
1669C22⋊C4—592no—
1670C22⋊C4—592no—
1671C22⋊C4—592no—
1672C22⋊C4—592no—
1673C22⋊C4—592no—
1674C22⋊C4—598no—
1675C22⋊C4—598no—
1676C22⋊C4—594no—
1677C22⋊C4—594no—
1678C22⋊C4—594no—
1679C22⋊C4—598no—
1680C22⋊C4—594no—
1681C22⋊C4—598no—
1682C22⋊C4—594no—
1683C22⋊C4—598no—
1684C22⋊C4—594no—
1685C22⋊C4—598no—
1686C22⋊C4—594no—
1687C22⋊C4C23×D5912yes—
1688C22⋊C4C23×D5912yes—
1689C22⋊C4C23×D5912yes—
1690C22⋊C4C23×D5918yes—
1691C22⋊C4C23×D5914yes—
1692C22⋊C4C23×D5918yes—
1693C42—592no—
1694C42—591no—
1695C42—591no—
1696C42—591no—
1697C42—591no—
1698C42—591no—
1699C42—592no—
1700C42—592no—
1701C42—598no—
1702C42—594no—
1703C42—591no—
1704C42—592no—
1705C42—591no—
1706C42—591no—
1707C42—591no—
1708C42—592no—
1709C42—592no—
1710C42—591no—
1711C42—592no—
1712C42—592no—
1713C42—591no—
1714C42—592no—
1715C42—591no—
1716C42—594no—
1717C42—598no—
1718C42—598no—
1719C42—598no—
1720C42C23×D5911yescharacteristic
1721C42C23×D5912yes—
1722C42C23×D5911yescharacteristic
1723C42C23×D5912yes—
1724C42C23×D5911yescharacteristic
1725C42C23×D5911yescharacteristic
1726C42C23×D5912yes—
1727C42C23×D5918yes—
1728C42C23×D5918yes—
1729C42C23×D5914yes—
1730C23—591no—
1731C23—592no—
1732C23—591no—
1733C23—594no—
1734C23—1184no—
1735C23—1182no—
1736C23—1184no—
1737C23—1182no—
1738C23—2361no—
1739C23—2362no—
1740C23C24×D5912yes—
1741C23C24×D5911yescharacteristic
1742Q8—28no—
1743Q8—28no—
1744Q8—22no—
1745Q8—24no—
1746Q8—24no—
1747Q8—594no—
1748Q8—11816no—
1749Q8—1184no—
1750Q8—1184no—
1751Q8—1188no—
1752Q8—2364no—
1753Q8—2368no—
1754D4—24no—
1755D4—22no—
1756D4—598no—
1757D4—594no—
1758D4—1184no—
1759D4—1188no—
1760D4—11816no—
1761D4—1184no—
1762D4—1184no—
1763D4—1188no—
1764D4—1184no—
1765D4—1184no—
1766D4—1184no—
1767D4—2364no—
1768D4—2368no—
1769C2×C4—28no—
1770C2×C4—24no—
1771C2×C4—22no—
1772C2×C4—24no—
1773C2×C4—22no—
1774C2×C4—24no—
1775C2×C4—591no—
1776C2×C4—592no—
1777C2×C4—598no—
1778C2×C4—594no—
1779C2×C4—591no—
1780C2×C4—591no—
1781C2×C4—591no—
1782C2×C4—591no—
1783C2×C4—592no—
1784C2×C4—592no—
1785C2×C4—594no—
1786C2×C4—598no—
1787C2×C4—591no—
1788C2×C4—1184no—
1789C2×C4—1182no—
1790C2×C4—1184no—
1791C2×C4—11816no—
1792C2×C4—1188no—
1793C2×C4—1184no—
1794C2×C4—1182no—
1795C2×C4—1184no—
1796C2×C4—11816no—
1797C2×C4—1182no—
1798C2×C4—1184no—
1799C2×C4—1184no—
1800C2×C4—1182no—
1801C2×C4—1182no—
1802C2×C4—1182no—
1803C2×C4—1182no—
1804C2×C4—1182no—
1805C2×C4—1188no—
1806C2×C4—1184no—
1807C2×C4—1182no—
1808C2×C4—1182no—
1809C2×C4—1184no—
1810C2×C4—1182no—
1811C2×C4—2362no—
1812C2×C4—2362no—
1813C2×C4—2361no—
1814C2×C4—2361no—
1815C2×C4—2368no—
1816C2×C4—2368no—
1817C2×C4—2364no—
1818C2×C4—2361no—
1819C2×C4—2362no—
1820C2×C4—2364no—
1821C2×C4#41×D5914yes—
1822C2×C4C24×D5912yes—
1823C2×C4C24×D5914yes—
1824C2×C4C24×D5912yes—
1825C2×C4C24×D5911yescharacteristic
1826C2×C4C24×D5911yescharacteristic
1827C2×C4C24×D5918yes—
1828C2×C4C24×D5912yes—
1829C2×C4C24×D5914yes—
1830C2×C4C24×D5911yescharacteristic
1831C2×C4C24×D5911yescharacteristic
1832C2×C4C24×D5911yescharacteristic
1833C2×C4C24×D5911yescharacteristic
1834C22—21no—
1835C22—21no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—594no—
1840C22—592no—
1841C22—1181no—
1842C22—1182no—
1843C22—1182no—
1844C22—1181no—
1845C22—1184no—
1846C22—1181no—
1847C22—1181no—
1848C22—1184no—
1849C22—1181no—
1850C22—1184no—
1851C22—2364no—
1852C22—2368no—
1853C22C2×#41×D5912yes—
1854C22C25×D5911yescharacteristic
1855C4—22no—
1856C4—28no—
1857C4—22no—
1858C4—21no—
1859C4—24no—
1860C4—22no—
1861C4—21no—
1862C4—24no—
1863C4—594no—
1864C4—592no—
1865C4—1181no—
1866C4—1181no—
1867C4—1184no—
1868C4—1181no—
1869C4—1182no—
1870C4—1181no—
1871C4—1181no—
1872C4—1182no—
1873C4—1188no—
1874C4C2×#41×D5912yes—
1875C4C2×#41×D5912yes—
1876C42−1+4×D5912yes—
1877C4#1683823912yes—
1878C2—22no—
1879C2—42no—
1880C2—1182no—
1881C2—1184no—
1882C2—2361no—
1883C2—2364no—
1884C2C22×#41×D5911yescharacteristic
1885C2C2×2−1+4×D5911yescharacteristic
1886C2C2×#1683823911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D59
commutator, socle, cosocleC22×C59C26
FittingC59×#3509C2
hypercenter#3509D59
hypocenterC59#62805
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C22 ◁ #3509

Complements

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

NH ≅ G/Ntype
1. #21438189C2semidirect
2. #21438144C2semidirect
3. #21438142C2semidirect
4. #21438110C2semidirect
5. #21438073C2semidirect
6. #21438071C2semidirect
7. #21438008C2semidirect
8. #21438007C2semidirect
9. #21437975C2semidirect
10. #21437908C2semidirect
11. #21437879C2semidirect
12. #21437840C2semidirect
13. #21437838C2semidirect
14. #21437774C2semidirect
15. #21437716C2semidirect
16. #21437715C2semidirect
17. #21437710C2semidirect
18. #21437678C2semidirect
19. #21437657C2semidirect
20. #21437649C2semidirect
21. #21437528C2semidirect
22. #21437520C2semidirect
23. #21437393C2semidirect
24. #21437393C2semidirect
25. C2×#16837957C2semidirect
26. #533×D59C2semidirect
27. #21437305C2semidirect
28. C4×#41×D59C2semidirect
29. C59×#3509C2semidirect
32. Q8×Dic118C22semidirect
33. #16838130C22semidirect
34. #16838129C22semidirect
35. #16838128C22semidirect
36. #16838125C22semidirect
37. #16838125C22semidirect
38. #16838124C22semidirect
39. #16838123C22semidirect
40. #16838120C22semidirect
41. #16838119C22semidirect
42. #16838117C22semidirect
43. #16838115C22semidirect
45. #16838112C22semidirect
46. #16838112C22semidirect
47. #16838110C22semidirect
49. #16838108C22semidirect
50. #16838105C22semidirect
51. #16838098C22semidirect
52. #16838096C22semidirect
54. #16838093C22semidirect
55. #16838093C22semidirect
56. #16838091C22semidirect
57. #16838090C22semidirect
58. #16838090C22semidirect
59. #16838088C22semidirect
60. #16838086C22semidirect
61. #16838085C22semidirect
63. #16838084C22semidirect
67. Q8×D236C22semidirect
69. #16838067C22semidirect
70. #16838067C22semidirect
71. #16838065C22semidirect
72. #16838064C22semidirect
73. #16838062C22semidirect
74. #16838061C22semidirect
76. #16838057C22semidirect
78. #16838055C22semidirect
79. #16838055C22semidirect
80. #16838054C22semidirect
81. #16838053C22semidirect
82. #16838053C22semidirect
86. #16838032C22semidirect
87. #16838030C22semidirect
88. #16838025C22semidirect
89. #16838024C22semidirect
90. #16838023C22semidirect
91. #16838021C22semidirect
92. #16838018C22semidirect
93. #16838013C22semidirect
94. #16838012C22semidirect
95. #16838011C22semidirect
96. #16838010C22semidirect
97. #16838000C22semidirect
98. #16837996C22semidirect
99. #16837993C22semidirect
102. #16837977C22semidirect
103. #16837976C22semidirect
105. #16837959C22semidirect
107. #16837958C22semidirect
113. #16837957C22semidirect
114. #16837957C22semidirect
115. #16837957C22semidirect
116. #16837957C22semidirect
117. #16837957C22semidirect
118. #16837957C22semidirect
119. #16837957C22semidirect
122. #16837955C22semidirect
123. #16837954C22semidirect
124. #16837954C22semidirect
126. #16837953C22semidirect
127. #16837953C22semidirect
128. #16837952C22semidirect
129. #16837952C22semidirect
130. C2×#14273727C22semidirect
131. C4⋊Q8×D59C22semidirect
132. C4⋊Q8×D59C22semidirect
135. #16837939C22semidirect
136. #16837939C22semidirect
137. #16837938C22semidirect
138. #16837938C22semidirect
139. #16837938C22semidirect
140. #16837938C22semidirect
143. #16837937C22semidirect
144. #16837937C22semidirect
145. #16837937C22semidirect
146. #16837935C22semidirect
147. #16837935C22semidirect
148. #16837931C22semidirect
149. #16837929C22semidirect
150. C2×#14273718C22semidirect
151. #125×D59C22semidirect
162. #16837884C22semidirect
163. #16837884C22semidirect
165. #16837882C22semidirect
166. #16837882C22semidirect
167. #16837878C22semidirect
168. #16837878C22semidirect
174. C4×#11745689C22semidirect
175. C4×#11745689C22semidirect
176. C4×#11745689C22semidirect
181. #16837870C22semidirect
182. #16837870C22semidirect
183. #16837870C22semidirect
188. C2×Q8×Dic59C22semidirect
189. C2×#14273692C22semidirect
192. C4×Q8×D59C22semidirect
193. C4×Q8×D59C22semidirect
194. C4×Q8×D59C22semidirect
205. C59×#557C22semidirect
206. C59×#557C22semidirect
207. C59×#556C22semidirect
208. C59×#556C22semidirect
209. C59×#552C22semidirect
210. C59×#552C22semidirect
211. C59×#541C22semidirect
213. C59×#533C22semidirect
214. C59×#533C22semidirect
215. C59×#533C22semidirect
216. C2×C4⋊Q8×C59C22semidirect
217. C59×#519C22semidirect
617. #11745685#41semidirect
882. C4×D592−1+4semidirect
944. #3509D59semidirect
979. #557C2×D59semidirect
980. #557C2×D59semidirect
987. #556C2×D59semidirect
988. #556C2×D59semidirect
1011. #552C2×D59semidirect
1012. #552C2×D59semidirect
1046. #541C2×D59semidirect
1076. #533C2×D59semidirect
1077. #533C2×D59semidirect
1078. #533C2×D59semidirect
1087. C2×C4⋊Q8C2×D59semidirect
1124. #519C2×D59semidirect
1162. C59#62805semidirect

Maximal subgroups

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

subgroupindex
#214381892
#214381442
#214381422
#214381102
#214380732
#214380712
#214380082
#214380072
#214379752
#214379082
#214378792
#214378402
#214378382
#214377742
#214377162
#214377152
#214377102
#214376782
#214376572
#214376492
#214375282
#214375202
#214373932
C2×#168379572
#533×D592
#214373052
C4×#41×D592
C59×#35092
#6280559