Finite Group Databasebeta

← #29497137

Subgroups — #29497137

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#21438190C212yesmaximal, complemented
2#21438147C212yesmaximal, complemented
3#21438133C214yesmaximal, complemented
4#21438111C212yesmaximal, complemented
5#21438076C212yesmaximal, complemented
6#21438062C214yesmaximal, complemented
7#21438003C211yesmaximal, characteristic, complemented
8#21437997C212yesmaximal, complemented
9#21437983C211yesmaximal, characteristic, complemented
10#21437975C212yesmaximal, complemented
11#21437908C211yesmaximal, characteristic, complemented
12#21437876C211yesmaximal, characteristic, complemented
13#21437850C212yesmaximal, complemented
14#21437836C214yesmaximal, complemented
15#21437768C212yesmaximal, complemented
16#21437718C212yesmaximal, complemented
17#21437711C212yesmaximal, complemented
18#21437709C214yesmaximal, complemented
19#41×Dic118C212yesmaximal, complemented
20#21437660C212yesmaximal, complemented
21#21437656C214yesmaximal, complemented
22#21437523C212yesmaximal, complemented
23#21437521C214yesmaximal, complemented
24#21437391C212yesmaximal, complemented
25C2×#16837959C211yesmaximal, characteristic, complemented
26#533×D59C212yesmaximal, complemented
27C4×#14273774C212yesmaximal, complemented
28C2×C4×#11745685C211yesmaximal, characteristic, complemented
29C59×#3444C211yesmaximal, characteristic, complemented
30C2×#14273774C2212yes—
31C22×#11745685C2211yescharacteristic
32Q8×Dic118C2212yescomplemented
33#16838131C2212yescomplemented
34#16838131C2212yescomplemented
35#16838130C2212yescomplemented
36#16838129C2214yescomplemented
37#16838128C2214yescomplemented
38#16838125C2212yescomplemented
39#16838125C2212yescomplemented
40#16838123C2214yescomplemented
41#16838122C2212yescomplemented
42#16838122C2214yescomplemented
43#16838121C2214yescomplemented
44#16838120C2214yescomplemented
45#16838119C2218yescomplemented
46#16838117C2212yescomplemented
47#16838116C2214yescomplemented
48#16838112C2212yescomplemented
49#16838111C2218yes—
50#16838111C2214yescomplemented
51#16838110C2214yescomplemented
52#16838109C2214yes—
53#16838109C2212yescomplemented
54#16838104C2214yescomplemented
55#16838102C2214yescomplemented
56#16838099C2214yescomplemented
57#16838094C2214yescomplemented
58#16838094C2214yescomplemented
59#16838093C2214yescomplemented
60#16838092C2214yes—
61#16838092C2214yescomplemented
62#16838091C2214yescomplemented
63#16838091C2218yescomplemented
64#16838090C2214yescomplemented
65#16838089C2218yes—
66#16838089C2218yescomplemented
67#16838088C2218yescomplemented
68#16838086C2214yescomplemented
69#16838085C2218yescomplemented
70#16838083C2218yes—
71#16838081C2218yes—
72#16838075C2218yes—
73Q8×D236C2212yescomplemented
74D4×Dic118C2214yes—
75D4×Dic118C2212yescomplemented
76D4×Dic118C2212yescomplemented
77#16838065C2214yescomplemented
78#16838061C2214yes—
79#16838060C2214yescomplemented
80#16838059C2214yescomplemented
81#16838058C2214yescomplemented
82#16838057C2214yes—
83#16838057C2212yescomplemented
84#16838057C2212yescomplemented
85#16838056C2212yescomplemented
86#16838052C2214yescomplemented
87#16838052C2214yescomplemented
88#16838051C2214yescomplemented
89#16838050C2218yes—
90#16838048C2214yes—
91#16838039C2218yes—
92#16838032C2214yescomplemented
93#16838030C2212yescomplemented
94#16838023C2214yescomplemented
95#16838021C2214yescomplemented
96#16838020C2218yescomplemented
97#16838019C2214yescomplemented
98#16838017C2214yescomplemented
99#16838015C2214yescomplemented
100#16838014C2214yescomplemented
101#16838012C2214yescomplemented
102#16838010C2214yescomplemented
103#16838009C2218yescomplemented
104#16837995C2218yescomplemented
105#16837994C2218yescomplemented
106#16837993C2218yescomplemented
107#16837981C2214yes—
108#16837980C2212yes—
109#16837978C2212yes—
110#16837975C2214yes—
111#16837973C2212yescomplemented
112#16837972C2214yescomplemented
113#16837959C2212yes—
114#16837959C2212yes—
115#16837959C2212yes—
116#16837959C2212yes—
117#16837959C2212yescomplemented
118#16837959C2214yescomplemented
119#16837959C2212yescomplemented
120#16837959C2212yescomplemented
121#16837959C2212yescomplemented
122#16837958C2214yescomplemented
123#16837957C2212yescomplemented
124#16837957C2212yescomplemented
125#16837957C2212yescomplemented
126#16837957C2212yescomplemented
127#16837956C2214yescomplemented
128#16837956C2214yescomplemented
129#16837955C2214yes—
130#16837955C2218yescomplemented
131#16837954C2214yes—
132#16837954C2214yes—
133#16837950C2212yescomplemented
134#16837950C2212yescomplemented
135C2×#14273727C2211yescharacteristic, complemented
136C2×#14273727C2211yescharacteristic, complemented
137C4⋊Q8×D59C2212yescomplemented
138C4⋊Q8×D59C2212yescomplemented
139#16837936C2214yescomplemented
140#16837934C2214yescomplemented
141#16837934C2218yescomplemented
142#16837934C2214yescomplemented
143#16837933C2214yes—
144#16837933C2214yes—
145#16837932C2218yescomplemented
146#16837932C2218yescomplemented
147#16837931C2214yescomplemented
148#16837931C2214yescomplemented
149#16837930C2218yescomplemented
150C2×#14273719C2212yescomplemented
151#125×D59C2214yescomplemented
152#16837912C2214yes—
153#16837912C2214yes—
154#16837909C2214yes—
155C2×#14273706C2212yes—
156C2×#14273706C2212yes—
157C22⋊Q8×D59C2214yes—
158C22⋊Q8×D59C2214yes—
159#16837885C2212yescomplemented
160#16837882C2212yes—
161#16837882C2214yescomplemented
162#16837881C2214yescomplemented
163#16837881C2218yescomplemented
164#16837879C2212yescomplemented
165#16837879C2214yescomplemented
166#16837878C2214yescomplemented
167#41×Dic59C2214yes—
168C4×#11745685C2212yes—
169C4×#11745685C2211yescharacteristic
170C4×#11745685C2211yescharacteristic
171C4×#11745685C2212yes—
172C4×#11745685C2211yescharacteristic
173C4×#11745685C2212yes—
174C4×#11745685C2211yescharacteristic
175C4×#11745685C2212yes—
176C4×#11745685C2211yescharacteristic
177C4×#11745685C2211yescharacteristic
178C4×#11745685C2211yescharacteristic
179C4×#11745685C2211yescharacteristic
180C4×#11745685C2214yescomplemented
181C4×#11745687C2214yescomplemented
182C4×#11745687C2218yescomplemented
183C4×#11745687C2214yescomplemented
184C2×C4×Dic118C2211yescharacteristic
185C2×C4×Dic118C2211yescharacteristic
186C2×C4×Dic118C2212yescomplemented
187C2×C4×Dic118C2214yescomplemented
188C2×C4×Dic118C2212yescomplemented
189C4×Q8×D59C2214yescomplemented
190C4×Q8×D59C2214yescomplemented
191C2×C4×D236C2211yescharacteristic
192C2×C4×D236C2211yescharacteristic
193C2×C4×C22⋊D59C2212yes—
194C2×C4×C22⋊D59C2212yes—
195C2×#14273686C2211yescharacteristic
196C2×#14273686C2212yes—
197C2×#14273684C2212yes—
198#117×D59C2214yes—
199C2×C42×D59C2212yes—
200C59×#533C2211yescharacteristic
201C59×#533C2211yescharacteristic, complemented
202C59×#533C2211yescharacteristic, complemented
203C59×#532C2211yescharacteristic
204C59×#532C2211yescharacteristic, complemented
205C59×#532C2211yescharacteristic, complemented
206C59×#529C2212yes—
207C59×#529C2212yes—
208C59×#529C2212yescomplemented
209C59×#529C2212yescomplemented
210C59×#529C2212yescomplemented
211C59×#529C2212yescomplemented
212C59×#525C2212yes—
213C59×#525C2212yes—
214C59×#525C2212yes—
215C4×#41×C59C2212yes—
216C4×#41×C59C2212yescomplemented
217C4×#41×C59C2212yescomplemented
218C22×C42×C59C2211yescharacteristic
219#14273774—216no—
220C2×#11745685—28no—
221C2×#11745685C2312yes—
222C2×#11745685C2311yescharacteristic
223C2×#11745685C2312yes—
224C2×#11745685C2311yescharacteristic
225C2×#11745685C2311yescharacteristic
226C2×#11745685C2314yes—
227C2×#11745685C2311yescharacteristic
228C2×#11745687C2314yes—
229C2×#11745687C2318yes—
230C2×#11745687C2314yes—
231C22×Dic118C2312yes—
232C22×Dic118C2311yescharacteristic
233C22×Dic118C2314yes—
234C22×Dic118C2312yes—
235C2×Q8×D59C2314yes—
236C2×Q8×D59C2314yes—
237C22×D236C2311yescharacteristic
238C22×C22⋊D59C2312yes—
239C22×C4×D59C2312yes—
240C22×C4×D59C2312yes—
241C22×C4×D59C2312yes—
242#14273727C2312yes—
243#14273727C2312yes—
244#14273727C2312yes—
245#14273727C2312yes—
246#14273727C2312yes—
247#14273727C2312yes—
248#14273727C2312yes—
249#14273727C2312yes—
250#14273727C2314yes—
251#14273727C2314yes—
252#14273726C2314yes—
253#14273726C2314yes—
254#14273726C2314yes—
255#14273726C2314yes—
256#14273726C2318yes—
257#14273726C2318yes—
258#14273725C2314yes—
259#14273725C2314yes—
260#14273722C2318yes—
261#14273722C2318yes—
262#14273722C2318yes—
263#14273721C2318yes—
264#14273720C2318yes—
265#14273720C2318yes—
266#14273720C2318yes—
267#14273720C2318yes—
268#14273720C2318yes—
269#14273720C2318yes—
270#14273720C2318yes—
271#14273719C2314yes—
272#14273719C2314yes—
273#14273719C2314yes—
274#14273719C2314yes—
275#14273719C2314yes—
276#14273719C2318yes—
277#14273718C2314yes—
278#14273718C2314yes—
279#14273718C2314yes—
280#14273718C2314yes—
281#14273718C2318yes—
282#14273718C2318yes—
283#14273718C2318yes—
284#14273717C2318yes—
285#14273717C2318yes—
286#14273717C2318yes—
287#14273717C2318yes—
288#14273717C2318yes—
289#14273715C2314yes—
290#14273714C2314yes—
291#14273714C2314yes—
292#14273714C2318yes—
293#14273713C2318yes—
294#14273713C2318yes—
295#14273713C2318yes—
296#14273712C2318yes—
297#14273711C2318yes—
298#14273711C2318yes—
299#14273710C2318yes—
300#14273709C2318yes—
301#14273709C2318yes—
302#14273709C2318yes—
303#14273709C2318yes—
304#14273709C2318yes—
305#14273708C2318yes—
306#14273708C2318yes—
307#14273708C2318yes—
308#14273707C2314yes—
309#14273707C2314yes—
310#14273707C2314yes—
311#14273707C2314yes—
312#14273707C2318yes—
313#14273706C2314yes—
314#14273706C2314yes—
315#14273706C2314yes—
316#14273706C2314yes—
317#14273706C2314yes—
318#14273706C2314yes—
319#14273706C2314yes—
320#14273706C2314yes—
321#14273706C2314yes—
322#14273706C2314yes—
323#14273706C2314yes—
324#14273706C2318yes—
325#14273705C2318yes—
326#14273705C2318yes—
327#14273705C2318yes—
328#14273704C2318yes—
329#14273704C2318yes—
330#14273704C2318yes—
331#14273704C2318yes—
332#14273704C2318yes—
333#14273704C2318yes—
334#14273704C2318yes—
335#14273704C2318yes—
336#14273703C2314yes—
337#14273703C2314yes—
338#14273703C2314yes—
339#14273703C2314yes—
340#14273701C2314yes—
341#14273700C2318yes—
342#14273699C2318yes—
343#14273699C2318yes—
344#14273698C2314yes—
345#14273698C2314yes—
346#14273698C2314yes—
347#14273698C2314yes—
348#14273698C2318yes—
349#14273695C2318yes—
350Q8×Dic59C2314yes—
351Q8×Dic59C2314yes—
352Q8×Dic59C2314yes—
353Q8×Dic59C2314yes—
354C4×Dic118C2314yes—
355C4×Dic118C2318yes—
356C4×Dic118C2318yes—
357C4×Dic118C2314yes—
358C4×Dic118C2314yes—
359C4×Dic118C2314yes—
360C4×Dic118C2312yes—
361C4×Dic118C2314yes—
362C4×Dic118C2314yes—
363C4×Dic118C2314yes—
364C4×Dic118C2314yes—
365C4×Dic118C2311yescharacteristic
366C4×Dic118C2312yes—
367C4×Dic118C2311yescharacteristic
368C4×Dic118C2314yes—
369C4×Dic118C2311yescharacteristic
370C4×Dic118C2311yescharacteristic
371C4×Dic118C2318yes—
372C4×Dic118C2314yes—
373C4×Dic118C2314yes—
374C4×Dic118C2311yescharacteristic
375C4×Dic118C2312yes—
376C4×Dic118C2312yes—
377C4×Dic118C2311yescharacteristic
378C4×Dic118C2311yescharacteristic
379C4×Dic118C2311yescharacteristic
380#14273692C2314yes—
381#14273692C2314yes—
382#14273692C2314yes—
383#14273692C2314yes—
384#14273692C2318yes—
385#14273692C2318yes—
386#14273692C2318yes—
387C4×D236C2312yes—
388C4×D236C2311yescharacteristic
389C4×D236C2312yes—
390C4×D236C2311yescharacteristic
391C4×D236C2314yes—
392C4×D236C2311yescharacteristic
393C4×D236C2311yescharacteristic
394C4×D236C2311yescharacteristic
395C4×D236C2312yes—
396C4×D236C2312yes—
397C4×D236C2311yescharacteristic
398C4×D236C2311yescharacteristic
399C4×D236C2311yescharacteristic
400D4×Dic59C2318yes—
401D4×Dic59C2318yes—
402D4×Dic59C2314yes—
403D4×Dic59C2314yes—
404D4×Dic59C2314yes—
405D4×Dic59C2314yes—
406D4×Dic59C2318yes—
407C4×C22⋊D59C2318yes—
408C4×C22⋊D59C2318yes—
409C4×C22⋊D59C2312yes—
410C4×C22⋊D59C2312yes—
411C4×C22⋊D59C2312yes—
412C4×C22⋊D59C2312yes—
413C4×C22⋊D59C2312yes—
414C4×C22⋊D59C2312yes—
415C4×C22⋊D59C2312yes—
416C4×C22⋊D59C2312yes—
417C4×C22⋊D59C2312yes—
418C4×C22⋊D59C2312yes—
419C4×C22⋊D59C2312yes—
420C4×C22⋊D59C2318yes—
421C4×C22⋊D59C2312yes—
422C4×C22⋊D59C2312yes—
423C4×C22⋊D59C2312yes—
424C4×C22⋊D59C2312yes—
425C4×C22⋊D59C2312yes—
426(C22⋊D59)⋊C4C2318yes—
427(C22⋊D59)⋊C4C2318yes—
428(C22⋊D59)⋊C4C2318yes—
429(C22⋊D59)⋊C4C2318yes—
430#14273686C2314yes—
431#14273686C2314yes—
432#14273686C2318yes—
433#14273686C2314yes—
434#14273686C2314yes—
435#14273686C2311yescharacteristic
436#14273686C2312yes—
437#14273686C2312yes—
438#14273686C2314yes—
439#14273686C2311yescharacteristic
440#14273686C2311yescharacteristic
441#14273686C2311yescharacteristic
442#14273685C2314yes—
443#14273685C2314yes—
444#14273685C2314yes—
445#14273685C2314yes—
446#14273685C2318yes—
447#14273684C2318yes—
448#14273684C2312yes—
449#14273684C2312yes—
450#14273684C2312yes—
451#14273684C2318yes—
452#14273684C2312yes—
453#14273684C2312yes—
454#14273684C2312yes—
455#14273684C2312yes—
456#14273684C2312yes—
457#14273683C2318yes—
458#14273683C2318yes—
459#14273683C2318yes—
460#14273683C2318yes—
461#14273683C2318yes—
462C2×C4⋊Dic59C2312yes—
463C2×C4⋊Dic59C2312yes—
464C2×C4⋊Dic59C2312yes—
465C2×C4⋊Dic59C2312yes—
466C2×C4⋊Dic59C2314yes—
467C2×C4⋊Dic59C2311yescharacteristic
468C2×C4⋊Dic59C2311yescharacteristic
469C2×Dic59⋊C4C2314yes—
470C2×Dic59⋊C4C2314yes—
471C2×Dic59⋊C4C2318yes—
472C2×Dic59⋊C4C2312yes—
473C2×Dic59⋊C4C2312yes—
474C4⋊C4×D59C2318yes—
475C4⋊C4×D59C2318yes—
476C4⋊C4×D59C2314yes—
477C4⋊C4×D59C2314yes—
478C4⋊C4×D59C2314yes—
479C4⋊C4×D59C2314yes—
480C2×C22⋊Dic59C2314yes—
481C2×C22⋊Dic59C2312yes—
482C2×(C2×D59)⋊C4C2312yes—
483C2×(C2×D59)⋊C4C2312yes—
484C22⋊C4×D59C2318yes—
485C2×C4×Dic59C2314yes—
486C2×C4×Dic59C2318yes—
487C2×C4×Dic59C2312yes—
488C2×C4×Dic59C2312yes—
489C2×C4×Dic59C2312yes—
490C42×D59C2312yes—
491C42×D59C2318yes—
492C42×D59C2312yes—
493C42×D59C2312yes—
494C42×D59C2312yes—
495C42×D59C2312yes—
496C42×D59C2312yes—
497C42×D59C2312yes—
498C42×D59C2312yes—
499C2×#41×C59C2312yes—
500C2×#41×C59C2312yes—
501C2×#41×C59C2312yes—
502C23×C4×C59C2311yescharacteristic
503C23×C4×C59C2311yescharacteristic
504C23×C4×C59C2311yescharacteristic
505C4⋊Q8×C59C2311yescharacteristic
506C4⋊Q8×C59C2311yescharacteristic
507C4⋊Q8×C59C2311yescharacteristic
508#127×C59C2311yescharacteristic
509#126×C59C2314yes—
510#126×C59C2314yes—
511#125×C59C2312yes—
512#125×C59C2312yes—
513#125×C59C2312yes—
514#124×C59C2312yes—
515#124×C59C2312yes—
516#124×C59C2312yes—
517#123×C59C2314yes—
518#123×C59C2314yes—
519#123×C59C2314yes—
520C22⋊Q8×C59C2312yes—
521C22⋊Q8×C59C2312yes—
522C22⋊Q8×C59C2312yes—
523C22⋊Q8×C59C2312yes—
524C22⋊Q8×C59C2312yes—
525C22⋊Q8×C59C2312yes—
526#121×C59C2312yes—
527#121×C59C2312yes—
528#121×C59C2312yes—
529#121×C59C2312yes—
530#121×C59C2312yes—
531#121×C59C2312yes—
532#120×C59C2314yes—
533C4×Q8×C59C2312yes—
534C4×Q8×C59C2312yes—
535C4×Q8×C59C2312yes—
536C4×Q8×C59C2312yes—
537C4×Q8×C59C2312yes—
538C4×Q8×C59C2312yes—
539C4×D4×C59C2314yes—
540C4×D4×C59C2314yes—
541C4×D4×C59C2312yes—
542C4×D4×C59C2312yes—
543C4×D4×C59C2314yes—
544C4×D4×C59C2312yes—
545C4×D4×C59C2314yes—
546C4×D4×C59C2312yes—
547C4×D4×C59C2314yes—
548C4×D4×C59C2312yes—
549C4×D4×C59C2314yes—
550C4×D4×C59C2312yes—
551#117×C59C2314yes—
552#117×C59C2312yes—
553#117×C59C2312yes—
554#117×C59C2314yes—
555#117×C59C2312yes—
556#117×C59C2314yes—
557C2×C42×C59C2311yescharacteristic
558C2×C42×C59C2314yes—
559C2×C42×C59C2311yescharacteristic
560C2×C42×C59C2311yescharacteristic
561C2×C42×C59C2311yescharacteristic
562C2×C42×C59C2311yescharacteristic
563C2×C42×C59C2311yescharacteristic
564C2×C42×C59C2311yescharacteristic
565C2×C42×C59C2311yescharacteristic
566C2×C42×C59C2311yescharacteristic
567C2×C42×C59C2311yescharacteristic
568C2×C42×C59C2311yescharacteristic
569C2×C42×C59C2311yescharacteristic
570C24×C59C2411yescharacteristic
571C23×D59C2412yes—
572#41×C59—28no—
573#41×C59—28no—
574#41×C59—44no—
575C2×Q8×C59C2412yes—
576C2×Q8×C59C2412yes—
577C2×Q8×C59C2412yes—
578C2×D4×C59C2414yes—
579C2×D4×C59C2414yes—
580C2×D4×C59C2412yes—
581C2×D4×C59C2412yes—
582C2×D4×C59C2412yes—
583C2×D4×C59C2414yes—
584C22×C4×C59—24no—
585C22×C4×C59—24no—
586C22×C4×C59—42no—
587C22×C4×C59C2411yescharacteristic
588C22×C4×C59C2411yescharacteristic
589C22×C4×C59C2411yescharacteristic
590C22×C4×C59C2411yescharacteristic
591C22×C4×C59C2411yescharacteristic
592C22×C4×C59C2411yescharacteristic
593C22×C4×C59C2411yescharacteristic
594C22×C4×C59C2411yescharacteristic
595C22×C4×C59C2411yescharacteristic
596C22×C4×C59C2411yescharacteristic
597C22×C4×C59C2411yescharacteristic
598C22×C4×C59C2411yescharacteristic
599C22×C4×C59C2411yescharacteristic
600C22×C4×C59C2414yes—
601C22×C4×C59C2414yes—
602C22×C4×C59C2411yescharacteristic
603C22×C4×C59C2411yescharacteristic
604C22×C4×C59C2411yescharacteristic
605C22×C4×C59C2414yes—
606C22×C4×C59C2411yescharacteristic
607C22×C4×C59C2411yescharacteristic
608C2×C22⋊D59—28no—
609C2×C22⋊D59C2418yes—
610C2×C22⋊D59C2412yes—
611C2×C22⋊D59C2412yes—
612C2×C22⋊D59C2412yes—
613C2×C22⋊D59C2418yes—
614C2×C22⋊D59C2412yes—
615C22×Dic59C2412yes—
616C22×Dic59C2412yes—
617C22×Dic59C2414yes—
618C22×Dic59C2418yes—
619C22×Dic59C2412yes—
620C22×Dic59C2414yes—
621C22×Dic59C2418yes—
622Q8×D59—216no—
623Q8×D59—48no—
624#11745687—232no—
625#11745687—216no—
626#11745687—48no—
627#11745685—24no—
628#11745685—28no—
629#11745685—24no—
630#11745685—216no—
631#11745685—28no—
632#11745685—24no—
633#11745685#4118yescomplemented
634C2×D236—24no—
635C2×D236C2412yes—
636C2×D236C2411yescharacteristic
637C2×D236C2411yescharacteristic
638C2×C4×D59—28no—
639C2×C4×D59—28no—
640C2×C4×D59—44no—
641C2×C4×D59C2412yes—
642C2×C4×D59C2412yes—
643C2×C4×D59C2412yes—
644C2×C4×D59C2412yes—
645C2×C4×D59C2412yes—
646C2×C4×D59C2412yes—
647C2×C4×D59C2412yes—
648C2×C4×D59C2412yes—
649C2×C4×D59C2412yes—
650C2×C4×D59C2418yes—
651C2×C4×D59C2412yes—
652C2×C4×D59C2412yes—
653C2×C4×D59C2418yes—
654C2×C4×D59C2412yes—
655C2×Dic118—28no—
656C2×Dic118—24no—
657C2×Dic118—216no—
658C2×Dic118—44no—
659C2×Dic118C2418yes—
660C2×Dic118C2414yes—
661C2×Dic118C2414yes—
662C2×Dic118C2412yes—
663C2×Dic118C2414yes—
664C2×Dic118C2411yescharacteristic
665C2×Dic118C2418yes—
666C2×Dic118C2414yes—
667C2×Dic118C2411yescharacteristic
668C4⋊C4×C59C2412yes—
669C4⋊C4×C59C2412yes—
670C4⋊C4×C59C2412yes—
671C4⋊C4×C59C2412yes—
672C4⋊C4×C59C2412yes—
673C4⋊C4×C59C2412yes—
674C4⋊C4×C59C2414yes—
675C4⋊C4×C59C2414yes—
676C4⋊C4×C59C2414yes—
677C4⋊C4×C59C2414yes—
678C4⋊C4×C59C2414yes—
679C4⋊C4×C59C2414yes—
680C22⋊C4×C59C2414yes—
681C22⋊C4×C59C2414yes—
682C22⋊C4×C59C2414yes—
683C22⋊C4×C59C2414yes—
684C22⋊C4×C59C2414yes—
685C22⋊C4×C59C2414yes—
686C22⋊C4×C59C2414yes—
687C22⋊C4×C59C2414yes—
688C22⋊C4×C59C2414yes—
689C42×C59C2411yescharacteristic
690C42×C59C2411yescharacteristic
691C42×C59C2411yescharacteristic
692C42×C59C2411yescharacteristic
693C42×C59C2411yescharacteristic
694C42×C59C2411yescharacteristic
695C42×C59C2411yescharacteristic
696C42×C59C2411yescharacteristic
697C42×C59C2411yescharacteristic
698C42×C59C2411yescharacteristic
699C42×C59C2411yescharacteristic
700C42×C59C2411yescharacteristic
701C42×C59C2411yescharacteristic
702C42×C59C2411yescharacteristic
703C42×C59C2411yescharacteristic
704C42×C59C2411yescharacteristic
705C42×C59C2414yes—
706C42×C59C2414yes—
707C42×C59C2414yes—
708C22⋊Dic59C2418yes—
709C22⋊Dic59C2412yes—
710C22⋊Dic59C2412yes—
711C22⋊Dic59C2412yes—
712C22⋊Dic59C2412yes—
713C22⋊Dic59C2418yes—
714C22⋊Dic59C2418yes—
715C22⋊Dic59C2418yes—
716C22⋊Dic59C2418yes—
717C22⋊Dic59C2418yes—
718(C2×D59)⋊C4C2418yes—
719(C2×D59)⋊C4C2418yes—
720(C2×D59)⋊C4C2412yes—
721(C2×D59)⋊C4C2412yes—
722(C2×D59)⋊C4C2412yes—
723(C2×D59)⋊C4C2412yes—
724(C2×D59)⋊C4C2412yes—
725(C2×D59)⋊C4C2412yes—
726(C2×D59)⋊C4C2412yes—
727(C2×D59)⋊C4C2412yes—
728(C2×D59)⋊C4C2418yes—
729(C2×D59)⋊C4C2418yes—
730C4⋊Dic59C2414yes—
731C4⋊Dic59C2414yes—
732C4⋊Dic59C2414yes—
733C4⋊Dic59C2414yes—
734C4⋊Dic59C2418yes—
735C4⋊Dic59C2418yes—
736C4⋊Dic59C2411yescharacteristic
737C4⋊Dic59C2414yes—
738C4⋊Dic59C2411yescharacteristic
739C4⋊Dic59C2412yes—
740C4⋊Dic59C2411yescharacteristic
741C4⋊Dic59C2411yescharacteristic
742C4⋊Dic59C2412yes—
743C4⋊Dic59C2414yes—
744C4⋊Dic59C2414yes—
745C4⋊Dic59C2414yes—
746C4⋊Dic59C2418yes—
747C4⋊Dic59C2418yes—
748Dic59⋊C4C2418yes—
749Dic59⋊C4C2418yes—
750Dic59⋊C4C2418yes—
751Dic59⋊C4C2418yes—
752Dic59⋊C4C2418yes—
753Dic59⋊C4C2418yes—
754Dic59⋊C4C2418yes—
755Dic59⋊C4C2418yes—
756Dic59⋊C4C2412yes—
757Dic59⋊C4C2418yes—
758Dic59⋊C4C2412yes—
759Dic59⋊C4C2412yes—
760Dic59⋊C4C2412yes—
761Dic59⋊C4C2412yes—
762Dic59⋊C4C2412yes—
763Dic59⋊C4C2412yes—
764Dic59⋊C4C2412yes—
765Dic59⋊C4C2418yes—
766Dic59⋊C4C2418yes—
767Dic59⋊C4C2418yes—
768C4×Dic59C2412yes—
769C4×Dic59C2412yes—
770C4×Dic59C2412yes—
771C4×Dic59C2412yes—
772C4×Dic59C2412yes—
773C4×Dic59C2412yes—
774C4×Dic59C2412yes—
775C4×Dic59C2412yes—
776C4×Dic59C2412yes—
777C4×Dic59C2412yes—
778C4×Dic59C2412yes—
779C4×Dic59C2412yes—
780C4×Dic59C2418yes—
781C4×Dic59C2418yes—
782C4×Dic59C2418yes—
783C4×Dic59C2418yes—
784C4×Dic59C2418yes—
785C4×Dic59C2418yes—
786C23×C59—22no—
787C23×C59—22no—
788C23×C59—41no—
789C23×C59C2511yescharacteristic
790C23×C59C2514yes—
791C23×C59C2511yescharacteristic
792C23×C59C2511yescharacteristic
793C22×D59—24no—
794C22×D59—24no—
795C22×D59—42no—
796C22×D59C2512yes—
797C22×D59C2512yes—
798Q8×C59—24no—
799Q8×C59—24no—
800Q8×C59—24no—
801D4×C59—28no—
802D4×C59—28no—
803D4×C59—24no—
804D4×C59—24no—
805D4×C59—24no—
806D4×C59—44no—
807C2×C4×C59—22no—
808C2×C4×C59—22no—
809C2×C4×C59—22no—
810C2×C4×C59—28no—
811C2×C4×C59—22no—
812C2×C4×C59—22no—
813C2×C4×C59—22no—
814C2×C4×C59—22no—
815C2×C4×C59—22no—
816C2×C4×C59—22no—
817C2×C4×C59—22no—
818C2×C4×C59—28no—
819C2×C4×C59—22no—
820C2×C4×C59—22no—
821C2×C4×C59—22no—
822C2×C4×C59—41no—
823C2×C4×C59—41no—
824C2×C4×C59—41no—
825C2×C4×C59—44no—
826C2×C4×C59C2×#4114yes—
827C2×C4×C592−1+414yescomplemented
828C2×C4×C59C2511yescharacteristic
829C2×C4×C59C2511yescharacteristic
830C2×C4×C59C2511yescharacteristic
831C2×C4×C59C2514yes—
832C2×C4×C59C2514yes—
833C2×C4×C59C2514yes—
834C2×C4×C59C2511yescharacteristic
835C2×C4×C59C2511yescharacteristic
836C2×C4×C59C2511yescharacteristic
837C2×C4×C59C2511yescharacteristic
838C2×C4×C59C2511yescharacteristic
839C2×C4×C59C2511yescharacteristic
840C2×C4×C59C2511yescharacteristic
841C2×C4×C59C2511yescharacteristic
842C2×C4×C59C2511yescharacteristic
843C22⋊D59—24no—
844C22⋊D59—24no—
845C22⋊D59—216no—
846C22⋊D59—24no—
847C22⋊D59—48no—
848C22⋊D59C2×#4118yes—
849C2×Dic59—28no—
850C2×Dic59—24no—
851C2×Dic59—24no—
852C2×Dic59—216no—
853C2×Dic59—44no—
854C2×Dic59—42no—
855C2×Dic59—48no—
856C2×Dic59C2512yes—
857C2×Dic59C2512yes—
858C2×Dic59C2512yes—
859C2×Dic59C2512yes—
860C2×Dic59C2518yes—
861C2×Dic59C2518yes—
862C2×Dic59C2512yes—
863C2×Dic59C2512yes—
864D236—24no—
865D236—22no—
866D236C2×#4114yes—
867C4×D59—24no—
868C4×D59—216no—
869C4×D59—24no—
870C4×D59—24no—
871C4×D59—24no—
872C4×D59—24no—
873C4×D59—24no—
874C4×D59—24no—
875C4×D59—24no—
876C4×D59—24no—
877C4×D59—42no—
878C4×D59—42no—
879C4×D59—48no—
880C4×D59C2×#4118yes—
881Dic118—28no—
882Dic118—22no—
883Dic118—28no—
884Dic118—28no—
885Dic118—24no—
886Dic118—216no—
887Dic118—44no—
888Dic118—48no—
889Dic118C2×#4114yes—
890#62805—591nomaximal, Sylow
891C22×C59—21no—
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—21no—
895C22×C59—24no—
896C22×C59—21no—
897C22×C59—21no—
898C22×C59—24no—
899C22×C59—24no—
900C22×C59—21no—
901C22×C59—44no—
902C22×C59C22×#4112yes—
903C22×C59C2×2−1+412yes—
904C22×C59C2611yescharacteristic
905C2×D59—22no—
906C2×D59—22no—
907C2×D59—22no—
908C2×D59—22no—
909C2×D59—22no—
910C2×D59—48no—
911C2×D59C22×#4114yes—
912C4×C59—24no—
913C4×C59—21no—
914C4×C59—21no—
915C4×C59—21no—
916C4×C59—21no—
917C4×C59—24no—
918C4×C59—21no—
919C4×C59—24no—
920C4×C59—21no—
921C4×C59—21no—
922C4×C59C22×#4112yes—
923C4×C59C22×#4112yes—
924C4×C59C2×2−1+412yes—
925C4×C59C2×2−1+412yes—
926C4×C59#58512yes—
927Dic59—28no—
928Dic59—22no—
929Dic59—22no—
930Dic59—22no—
931Dic59—28no—
932Dic59—22no—
933Dic59—22no—
934Dic59C22×#4114yes—
935#3523—592no—
936#3520—592no—
937#3520—594no—
938#3518—592no—
939#3515—594no—
940#3515—592no—
941#3511—592no—
942#3511—591no—
943#3509—592no—
944#3509—591no—
945#3503—591no—
946#3499—591no—
947#3495—594no—
948#3495—592no—
949#3489—592no—
950#3482—594no—
951#3482—592no—
952#3482—592no—
953Q8×#41—592no—
954#3475—594no—
955#3475—592no—
956#3461—594no—
957#3461—592no—
958#3444—592no—
959#3444D5911yescharacteristic, complemented
960C2×#533—591no—
961C2×#533—592no—
962C4×2−1+4—592no—
963C2×C4×#41—591no—
964C2×C59—22no—
965C2×C59—22no—
966C2×C59—44no—
967C2×C59—41no—
968C2×C59C23×#4111yescharacteristic
969C2×C59C22×2−1+411yescharacteristic
970C2×C59C2×#58511yescharacteristic
971D59—24no—
972D59—42no—
973C2×2−1+4—592no—
974C22×#41—591no—
975Q82—592no—
976#557—594no—
977#557—594no—
978#557—592no—
979#557—592no—
980#557—592no—
981#556—598no—
982#556—594no—
983#556—594no—
984#556—592no—
985#556—592no—
986#556—594no—
987#556—592no—
988#556—594no—
989#555—594no—
990#555—592no—
991#554—594no—
992#554—592no—
993#554—594no—
994#554—598no—
995#554—592no—
996#554—594no—
997#553—594no—
998#553—594no—
999#553—594no—
1000#552—598no—
1001#552—594no—
1002#552—598no—
1003#552—598no—
1004#552—594no—
1005#552—594no—
1006#552—594no—
1007#552—594no—
1008#552—594no—
1009#552—594no—
1010#552—598no—
1011#552—598no—
1012#552—594no—
1013#551—598no—
1014#551—598no—
1015#551—598no—
1016D4×Q8—594no—
1017D4×Q8—592no—
1018D4×Q8—594no—
1019D4×Q8—592no—
1020D4×Q8—592no—
1021#548—594no—
1022#548—594no—
1023#548—594no—
1024#548—594no—
1025#547—594no—
1026#547—598no—
1027#547—594no—
1028#547—594no—
1029#547—592no—
1030#547—594no—
1031#547—592no—
1032#547—592no—
1033#546—598no—
1034#546—594no—
1035#544—594no—
1036#544—592no—
1037#542—594no—
1038#542—598no—
1039#542—594no—
1040#542—594no—
1041#542—594no—
1042#541—598no—
1043#541—594no—
1044#541—594no—
1045#541—594no—
1046#541—594no—
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#536—592no—
1056#533—592no—
1057#533—592no—
1058#533—592no—
1059#533—592no—
1060#533—594no—
1061#533—594no—
1062#533—594no—
1063#533—594no—
1064#533—594no—
1065#533—594no—
1066#533—598no—
1067#533—592no—
1068#533—592no—
1069#533—592no—
1070#533—592no—
1071#533—592no—
1072#533—592no—
1073#533—592no—
1074#533—592no—
1075#533—594no—
1076#533C2×D5911yescharacteristic
1077#533C2×D5911yescharacteristic, complemented
1078#533C2×D5911yescharacteristic, complemented
1079#532—592no—
1080#532—592no—
1081#532C2×D5911yescharacteristic
1082#532C2×D5911yescharacteristic, complemented
1083#532C2×D5911yescharacteristic, complemented
1084C2×C4⋊Q8—592no—
1085C2×C4⋊Q8—592no—
1086C2×C4⋊Q8—591no—
1087C2×C4⋊Q8—591no—
1088#529—594no—
1089#529—594no—
1090#529—594no—
1091#529—594no—
1092#529—598no—
1093#529—598no—
1094#529—594no—
1095#529—594no—
1096#529—598no—
1097#529—598no—
1098#529—594no—
1099#529C2×D5912yes—
1100#529C2×D5912yes—
1101#529C2×D5912yescomplemented
1102#529C2×D5912yescomplemented
1103#529C2×D5912yescomplemented
1104#529C2×D5912yescomplemented
1105C2×#125—594no—
1106C2×#125—592no—
1107#525—594no—
1108#525—594no—
1109#525—594no—
1110#525C2×D5912yes—
1111#525C2×D5912yes—
1112#525C2×D5912yes—
1113C2×C22⋊Q8—592no—
1114C2×C22⋊Q8—592no—
1115C2×C22⋊Q8—594no—
1116C2×C22⋊Q8—594no—
1117#520—592no—
1118#520—594no—
1119#520—598no—
1120#520—592no—
1121#520—594no—
1122#519—594no—
1123#519—592no—
1124#519—594no—
1125C4×#41—594no—
1126C4×#41—594no—
1127C4×#41—598no—
1128C4×#41—594no—
1129C4×#41—591no—
1130C4×#41—592no—
1131C4×#41—591no—
1132C4×#41—591no—
1133C4×#41—592no—
1134C4×#41—591no—
1135C4×#41—591no—
1136C4×#41—592no—
1137C4×#41—591no—
1138C4×#41—591no—
1139C4×#41—592no—
1140C4×#41—591no—
1141C4×#41—594no—
1142C4×#41C2×D5912yes—
1143C4×#41C2×D5912yescomplemented
1144C4×#41C2×D5912yescomplemented
1145C2×C4×Q8—594no—
1146C2×C4×Q8—594no—
1147C2×C4×Q8—591no—
1148C2×C4×Q8—591no—
1149C2×C4×Q8—592no—
1150C2×C4×Q8—594no—
1151C2×C4×Q8—592no—
1152C2×C4×D4—592no—
1153C2×C4×D4—592no—
1154C2×C4×D4—591no—
1155C2×C4×D4—591no—
1156C2×#117—591no—
1157C2×#117—592no—
1158C2×#117—594no—
1159C2×#117—592no—
1160C22×C42—592no—
1161C22×C42C2×D5911yescharacteristic
1162C59#6280511yescharacteristic, complemented, Sylow
11632−1+4—11816no—
1164C2×#41—594no—
1165C2×#41—598no—
1166C2×#41—594no—
1167C2×#41—591no—
1168C2×#41—592no—
1169C2×#41—591no—
1170C2×#41—591no—
1171C2×#41—592no—
1172C2×#41—591no—
1173C2×#41—594no—
1174C2×#41—1188no—
1175C2×#41C22×D5912yes—
1176C2×#41C22×D5912yes—
1177C2×#41C22×D5912yes—
1178C22×Q8—594no—
1179C22×Q8—594no—
1180C22×Q8—591no—
1181C22×Q8—592no—
1182C22×Q8—594no—
1183C22×Q8—592no—
1184C22×D4—592no—
1185C22×D4—591no—
1186C23×C4—592no—
1187C23×C4—592no—
1188C23×C4—592no—
1189C23×C4C22×D5911yescharacteristic
1190C23×C4C22×D5911yescharacteristic
1191C23×C4C22×D5911yescharacteristic
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—592no—
1201C4⋊Q8—592no—
1202C4⋊Q8—592no—
1203C4⋊Q8—592no—
1204C4⋊Q8—592no—
1205C4⋊Q8—592no—
1206C4⋊Q8—592no—
1207C4⋊Q8—592no—
1208C4⋊Q8—594no—
1209C4⋊Q8—594no—
1210C4⋊Q8C22×D5911yescharacteristic
1211C4⋊Q8C22×D5911yescharacteristic
1212C4⋊Q8C22×D5911yescharacteristic
1213#127C22×D5911yescharacteristic
1214#126—598no—
1215#126—598no—
1216#126—598no—
1217#126—598no—
1218#126—598no—
1219#126—598no—
1220#126—598no—
1221#126—598no—
1222#126—598no—
1223#126—598no—
1224#126—598no—
1225#126C22×D5914yes—
1226#126C22×D5914yes—
1227#125—598no—
1228#125—598no—
1229#125—594no—
1230#125—594no—
1231#125—594no—
1232#125—594no—
1233#125—598no—
1234#125—598no—
1235#125—598no—
1236#125—598no—
1237#125—598no—
1238#125—598no—
1239#125—594no—
1240#125—594no—
1241#125—594no—
1242#125—594no—
1243#125—594no—
1244#125—598no—
1245#125C22×D5912yes—
1246#125C22×D5912yes—
1247#125C22×D5912yes—
1248#124—594no—
1249#124—594no—
1250#124—598no—
1251#124—598no—
1252#124—598no—
1253#124—598no—
1254#124—594no—
1255#124C22×D5912yes—
1256#124C22×D5912yes—
1257#124C22×D5912yes—
1258#123—598no—
1259#123—598no—
1260#123—598no—
1261#123—598no—
1262#123—598no—
1263#123—598no—
1264#123—598no—
1265#123—598no—
1266#123—598no—
1267#123—598no—
1268#123—598no—
1269#123—598no—
1270#123C22×D5914yes—
1271#123C22×D5914yes—
1272#123C22×D5914yes—
1273C22⋊Q8—594no—
1274C22⋊Q8—594no—
1275C22⋊Q8—594no—
1276C22⋊Q8—594no—
1277C22⋊Q8—594no—
1278C22⋊Q8—594no—
1279C22⋊Q8—594no—
1280C22⋊Q8—594no—
1281C22⋊Q8—594no—
1282C22⋊Q8—594no—
1283C22⋊Q8—594no—
1284C22⋊Q8—594no—
1285C22⋊Q8—594no—
1286C22⋊Q8—594no—
1287C22⋊Q8—594no—
1288C22⋊Q8—598no—
1289C22⋊Q8—594no—
1290C22⋊Q8—598no—
1291C22⋊Q8—598no—
1292C22⋊Q8—594no—
1293C22⋊Q8—594no—
1294C22⋊Q8—594no—
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×D5912yes—
1306C22⋊Q8C22×D5912yes—
1307C22⋊Q8C22×D5912yes—
1308C22⋊Q8C22×D5912yes—
1309C22⋊Q8C22×D5912yes—
1310C22⋊Q8C22×D5912yes—
1311#121—594no—
1312#121—594no—
1313#121—594no—
1314#121—594no—
1315#121—598no—
1316#121—598no—
1317#121—598no—
1318#121—594no—
1319#121—598no—
1320#121C22×D5912yes—
1321#121C22×D5912yes—
1322#121C22×D5912yes—
1323#121C22×D5912yes—
1324#121C22×D5912yes—
1325#121C22×D5912yes—
1326#120—598no—
1327#120C22×D5914yes—
1328C4×Q8—594no—
1329C4×Q8—594no—
1330C4×Q8—594no—
1331C4×Q8—594no—
1332C4×Q8—598no—
1333C4×Q8—594no—
1334C4×Q8—594no—
1335C4×Q8—598no—
1336C4×Q8—594no—
1337C4×Q8—598no—
1338C4×Q8—594no—
1339C4×Q8—591no—
1340C4×Q8—598no—
1341C4×Q8—594no—
1342C4×Q8—594no—
1343C4×Q8—594no—
1344C4×Q8—591no—
1345C4×Q8—592no—
1346C4×Q8—591no—
1347C4×Q8—592no—
1348C4×Q8—591no—
1349C4×Q8—591no—
1350C4×Q8—591no—
1351C4×Q8—591no—
1352C4×Q8—592no—
1353C4×Q8—592no—
1354C4×Q8—591no—
1355C4×Q8—594no—
1356C4×Q8—594no—
1357C4×Q8—594no—
1358C4×Q8—594no—
1359C4×Q8—598no—
1360C4×Q8—598no—
1361C4×Q8—594no—
1362C4×Q8—594no—
1363C4×Q8—594no—
1364C4×Q8—594no—
1365C4×Q8C22×D5912yes—
1366C4×Q8C22×D5912yes—
1367C4×Q8C22×D5912yes—
1368C4×Q8C22×D5912yes—
1369C4×Q8C22×D5912yes—
1370C4×Q8C22×D5912yes—
1371C4×D4—594no—
1372C4×D4—598no—
1373C4×D4—598no—
1374C4×D4—598no—
1375C4×D4—594no—
1376C4×D4—594no—
1377C4×D4—594no—
1378C4×D4—592no—
1379C4×D4—592no—
1380C4×D4—592no—
1381C4×D4—592no—
1382C4×D4—592no—
1383C4×D4—592no—
1384C4×D4—592no—
1385C4×D4—592no—
1386C4×D4—592no—
1387C4×D4—592no—
1388C4×D4—592no—
1389C4×D4—592no—
1390C4×D4—592no—
1391C4×D4—592no—
1392C4×D4—592no—
1393C4×D4—592no—
1394C4×D4—598no—
1395C4×D4—598no—
1396C4×D4—598no—
1397C4×D4—598no—
1398C4×D4—598no—
1399C4×D4—598no—
1400C4×D4—598no—
1401C4×D4—591no—
1402C4×D4—591no—
1403C4×D4—591no—
1404C4×D4—592no—
1405C4×D4—592no—
1406C4×D4—591no—
1407C4×D4—591no—
1408C4×D4—591no—
1409C4×D4—591no—
1410C4×D4—592no—
1411C4×D4—592no—
1412C4×D4—591no—
1413C4×D4—594no—
1414C4×D4C22×D5914yes—
1415C4×D4C22×D5912yes—
1416C4×D4C22×D5912yes—
1417C4×D4C22×D5914yes—
1418C4×D4C22×D5914yes—
1419C4×D4C22×D5912yes—
1420C4×D4C22×D5912yes—
1421C4×D4C22×D5914yes—
1422C4×D4C22×D5912yes—
1423C4×D4C22×D5914yes—
1424C4×D4C22×D5914yes—
1425C4×D4C22×D5912yes—
1426#117—594no—
1427#117—591no—
1428#117—591no—
1429#117—592no—
1430#117—591no—
1431#117—592no—
1432#117—591no—
1433#117—594no—
1434#117—594no—
1435#117—594no—
1436#117—594no—
1437#117—598no—
1438#117—594no—
1439#117—594no—
1440#117—594no—
1441#117—598no—
1442#117—594no—
1443#117—598no—
1444#117—598no—
1445#117—598no—
1446#117—598no—
1447#117—598no—
1448#117—592no—
1449#117—592no—
1450#117—592no—
1451#117—592no—
1452#117—592no—
1453#117—592no—
1454#117—592no—
1455#117—592no—
1456#117—598no—
1457#117—598no—
1458#117C22×D5912yes—
1459#117C22×D5914yes—
1460#117C22×D5912yes—
1461#117C22×D5914yes—
1462#117C22×D5912yes—
1463#117C22×D5914yes—
1464C2×C4⋊C4—592no—
1465C2×C4⋊C4—591no—
1466C2×C4⋊C4—592no—
1467C2×C4⋊C4—591no—
1468C2×C4⋊C4—592no—
1469C2×C4⋊C4—592no—
1470C2×C4⋊C4—594no—
1471C2×C4⋊C4—592no—
1472C2×C4⋊C4—598no—
1473C2×C4⋊C4—594no—
1474C2×C4⋊C4—594no—
1475C2×C4⋊C4—592no—
1476C2×C4⋊C4—594no—
1477C2×C4⋊C4—594no—
1478C2×C4⋊C4—598no—
1479C2×C4⋊C4—594no—
1480C2×C4⋊C4—598no—
1481C2×C4⋊C4—594no—
1482C2×C22⋊C4—592no—
1483C2×C22⋊C4—594no—
1484C2×C22⋊C4—592no—
1485C2×C22⋊C4—592no—
1486C2×C22⋊C4—598no—
1487C2×C42—592no—
1488C2×C42—594no—
1489C2×C42—592no—
1490C2×C42—592no—
1491C2×C42—598no—
1492C2×C42—598no—
1493C2×C42—592no—
1494C2×C42—592no—
1495C2×C42—592no—
1496C2×C42—592no—
1497C2×C42—592no—
1498C2×C42—592no—
1499C2×C42—592no—
1500C2×C42—592no—
1501C2×C42C22×D5911yescharacteristic
1502C2×C42C22×D5911yescharacteristic
1503C2×C42C22×D5911yescharacteristic
1504C2×C42C22×D5911yescharacteristic
1505C2×C42C22×D5911yescharacteristic
1506C2×C42C22×D5914yes—
1507C2×C42C22×D5911yescharacteristic
1508C2×C42C22×D5911yescharacteristic
1509C2×C42C22×D5911yescharacteristic
1510C2×C42C22×D5911yescharacteristic
1511C2×C42C22×D5911yescharacteristic
1512C2×C42C22×D5911yescharacteristic
1513C2×C42C22×D5911yescharacteristic
1514C24—592no—
1515C24C23×D5911yescharacteristic
1516#41—28no—
1517#41—28no—
1518#41—44no—
1519#41—598no—
1520#41—1188no—
1521#41—1188no—
1522#41—1184no—
1523#41—11816no—
1524#41—1184no—
1525#41—11816no—
1526#41—11832no—
1527#41—1184no—
1528#41—2368no—
1529C2×Q8—591no—
1530C2×Q8—598no—
1531C2×Q8—594no—
1532C2×Q8—594no—
1533C2×Q8—594no—
1534C2×Q8—592no—
1535C2×Q8—591no—
1536C2×Q8—598no—
1537C2×Q8—594no—
1538C2×Q8—1184no—
1539C2×Q8—11816no—
1540C2×Q8—11816no—
1541C2×Q8—1188no—
1542C2×Q8—2364no—
1543C2×Q8—2368no—
1544C2×Q8C23×D5912yes—
1545C2×Q8C23×D5912yes—
1546C2×Q8C23×D5912yes—
1547C2×D4—592no—
1548C2×D4—598no—
1549C2×D4—592no—
1550C2×D4—592no—
1551C2×D4—592no—
1552C2×D4—598no—
1553C2×D4—591no—
1554C2×D4—592no—
1555C2×D4—591no—
1556C2×D4—1184no—
1557C2×D4—1188no—
1558C2×D4C23×D5914yes—
1559C2×D4C23×D5912yes—
1560C2×D4C23×D5914yes—
1561C2×D4C23×D5912yes—
1562C2×D4C23×D5912yes—
1563C2×D4C23×D5914yes—
1564C22×C4—24no—
1565C22×C4—24no—
1566C22×C4—42no—
1567C22×C4—592no—
1568C22×C4—592no—
1569C22×C4—592no—
1570C22×C4—594no—
1571C22×C4—598no—
1572C22×C4—592no—
1573C22×C4—594no—
1574C22×C4—598no—
1575C22×C4—592no—
1576C22×C4—592no—
1577C22×C4—592no—
1578C22×C4—592no—
1579C22×C4—592no—
1580C22×C4—592no—
1581C22×C4—592no—
1582C22×C4—598no—
1583C22×C4—592no—
1584C22×C4—592no—
1585C22×C4—592no—
1586C22×C4—592no—
1587C22×C4—598no—
1588C22×C4—1188no—
1589C22×C4—1188no—
1590C22×C4—2364no—
1591C22×C4C23×D5911yescharacteristic
1592C22×C4C23×D5911yescharacteristic
1593C22×C4C23×D5911yescharacteristic
1594C22×C4C23×D5911yescharacteristic
1595C22×C4C23×D5911yescharacteristic
1596C22×C4C23×D5911yescharacteristic
1597C22×C4C23×D5911yescharacteristic
1598C22×C4C23×D5911yescharacteristic
1599C22×C4C23×D5911yescharacteristic
1600C22×C4C23×D5911yescharacteristic
1601C22×C4C23×D5911yescharacteristic
1602C22×C4C23×D5914yes—
1603C22×C4C23×D5911yescharacteristic
1604C22×C4C23×D5914yes—
1605C22×C4C23×D5911yescharacteristic
1606C22×C4C23×D5911yescharacteristic
1607C22×C4C23×D5911yescharacteristic
1608C22×C4C23×D5911yescharacteristic
1609C22×C4C23×D5914yes—
1610C22×C4C23×D5911yescharacteristic
1611C22×C4C23×D5911yescharacteristic
1612C4⋊C4—592no—
1613C4⋊C4—591no—
1614C4⋊C4—594no—
1615C4⋊C4—594no—
1616C4⋊C4—598no—
1617C4⋊C4—594no—
1618C4⋊C4—594no—
1619C4⋊C4—594no—
1620C4⋊C4—598no—
1621C4⋊C4—598no—
1622C4⋊C4—598no—
1623C4⋊C4—598no—
1624C4⋊C4—598no—
1625C4⋊C4—592no—
1626C4⋊C4—591no—
1627C4⋊C4—592no—
1628C4⋊C4—592no—
1629C4⋊C4—592no—
1630C4⋊C4—592no—
1631C4⋊C4—591no—
1632C4⋊C4—592no—
1633C4⋊C4—591no—
1634C4⋊C4—592no—
1635C4⋊C4—592no—
1636C4⋊C4—592no—
1637C4⋊C4—598no—
1638C4⋊C4—598no—
1639C4⋊C4—594no—
1640C4⋊C4—594no—
1641C4⋊C4—598no—
1642C4⋊C4—598no—
1643C4⋊C4—598no—
1644C4⋊C4—598no—
1645C4⋊C4—594no—
1646C4⋊C4—598no—
1647C4⋊C4—598no—
1648C4⋊C4—598no—
1649C4⋊C4—598no—
1650C4⋊C4C23×D5912yes—
1651C4⋊C4C23×D5912yes—
1652C4⋊C4C23×D5912yes—
1653C4⋊C4C23×D5912yes—
1654C4⋊C4C23×D5914yes—
1655C4⋊C4C23×D5914yes—
1656C4⋊C4C23×D5912yes—
1657C4⋊C4C23×D5912yes—
1658C4⋊C4C23×D5914yes—
1659C4⋊C4C23×D5914yes—
1660C4⋊C4C23×D5914yes—
1661C4⋊C4C23×D5914yes—
1662C22⋊C4—598no—
1663C22⋊C4—592no—
1664C22⋊C4—592no—
1665C22⋊C4—592no—
1666C22⋊C4—592no—
1667C22⋊C4—598no—
1668C22⋊C4—598no—
1669C22⋊C4—598no—
1670C22⋊C4—598no—
1671C22⋊C4—598no—
1672C22⋊C4—592no—
1673C22⋊C4—592no—
1674C22⋊C4—592no—
1675C22⋊C4—592no—
1676C22⋊C4—592no—
1677C22⋊C4—592no—
1678C22⋊C4—592no—
1679C22⋊C4—592no—
1680C22⋊C4—598no—
1681C22⋊C4—598no—
1682C22⋊C4—598no—
1683C22⋊C4—598no—
1684C22⋊C4C23×D5914yes—
1685C22⋊C4C23×D5914yes—
1686C22⋊C4C23×D5914yes—
1687C22⋊C4C23×D5914yes—
1688C22⋊C4C23×D5914yes—
1689C22⋊C4C23×D5914yes—
1690C22⋊C4C23×D5914yes—
1691C22⋊C4C23×D5914yes—
1692C22⋊C4C23×D5914yes—
1693C42—592no—
1694C42—592no—
1695C42—592no—
1696C42—592no—
1697C42—592no—
1698C42—592no—
1699C42—592no—
1700C42—592no—
1701C42—592no—
1702C42—592no—
1703C42—598no—
1704C42—598no—
1705C42—598no—
1706C42—598no—
1707C42—598no—
1708C42—592no—
1709C42—592no—
1710C42—598no—
1711C42C23×D5911yescharacteristic
1712C42C23×D5911yescharacteristic
1713C42C23×D5911yescharacteristic
1714C42C23×D5911yescharacteristic
1715C42C23×D5911yescharacteristic
1716C42C23×D5911yescharacteristic
1717C42C23×D5911yescharacteristic
1718C42C23×D5911yescharacteristic
1719C42C23×D5911yescharacteristic
1720C42C23×D5911yescharacteristic
1721C42C23×D5911yescharacteristic
1722C42C23×D5911yescharacteristic
1723C42C23×D5914yes—
1724C42C23×D5914yes—
1725C42C23×D5911yescharacteristic
1726C42C23×D5911yescharacteristic
1727C42C23×D5914yes—
1728C42C23×D5911yescharacteristic
1729C42C23×D5911yescharacteristic
1730C23—22no—
1731C23—22no—
1732C23—41no—
1733C23—592no—
1734C23—592no—
1735C23—1184no—
1736C23—1184no—
1737C23—2362no—
1738C23C24×D5911yescharacteristic
1739C23C24×D5914yes—
1740C23C24×D5911yescharacteristic
1741C23C24×D5911yescharacteristic
1742Q8—24no—
1743Q8—24no—
1744Q8—24no—
1745Q8—594no—
1746Q8—11816no—
1747Q8—1184no—
1748Q8—1188no—
1749Q8—1188no—
1750Q8—1182no—
1751Q8—1188no—
1752Q8—2364no—
1753Q8—2368no—
1754D4—28no—
1755D4—28no—
1756D4—24no—
1757D4—24no—
1758D4—24no—
1759D4—44no—
1760D4—598no—
1761D4—594no—
1762D4—1184no—
1763D4—1184no—
1764D4—1184no—
1765D4—11816no—
1766D4—1184no—
1767D4—1182no—
1768D4—2368no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—28no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—28no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—44no—
1788C2×C4—592no—
1789C2×C4—598no—
1790C2×C4—592no—
1791C2×C4—592no—
1792C2×C4—592no—
1793C2×C4—592no—
1794C2×C4—598no—
1795C2×C4—598no—
1796C2×C4—592no—
1797C2×C4—1184no—
1798C2×C4—1184no—
1799C2×C4—11816no—
1800C2×C4—1184no—
1801C2×C4—11816no—
1802C2×C4—1188no—
1803C2×C4—1184no—
1804C2×C4—1184no—
1805C2×C4—1184no—
1806C2×C4—1184no—
1807C2×C4—1184no—
1808C2×C4—1184no—
1809C2×C4—1184no—
1810C2×C4—1184no—
1811C2×C4—2362no—
1812C2×C4—2362no—
1813C2×C4—2368no—
1814C2×C4—2362no—
1815C2×C4—2364no—
1816C2×C4—2368no—
1817C2×C4#41×D5914yes—
1818C2×C4#1427377414yescomplemented
1819C2×C4C24×D5911yescharacteristic
1820C2×C4C24×D5911yescharacteristic
1821C2×C4C24×D5911yescharacteristic
1822C2×C4C24×D5914yes—
1823C2×C4C24×D5914yes—
1824C2×C4C24×D5914yes—
1825C2×C4C24×D5911yescharacteristic
1826C2×C4C24×D5911yescharacteristic
1827C2×C4C24×D5911yescharacteristic
1828C2×C4C24×D5911yescharacteristic
1829C2×C4C24×D5911yescharacteristic
1830C2×C4C24×D5911yescharacteristic
1831C2×C4C24×D5911yescharacteristic
1832C2×C4C24×D5911yescharacteristic
1833C2×C4C24×D5911yescharacteristic
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—24no—
1840C22—21no—
1841C22—24no—
1842C22—21no—
1843C22—24no—
1844C22—44no—
1845C22—594no—
1846C22—1182no—
1847C22—1182no—
1848C22—1182no—
1849C22—1182no—
1850C22—1182no—
1851C22—2368no—
1852C22C2×#41×D5912yes—
1853C22C2×#1427377412yes—
1854C22C25×D5911yescharacteristic
1855C4—21no—
1856C4—21no—
1857C4—24no—
1858C4—21no—
1859C4—21no—
1860C4—24no—
1861C4—21no—
1862C4—21no—
1863C4—21no—
1864C4—24no—
1865C4—594no—
1866C4—1182no—
1867C4—1188no—
1868C4—1182no—
1869C4—1182no—
1870C4—1182no—
1871C4—1182no—
1872C4—1188no—
1873C4C2×#41×D5912yes—
1874C4C2×#41×D5912yes—
1875C4C2×#1427377412yes—
1876C4C2×#1427377412yes—
1877C4#1683823812yes—
1878C2—22no—
1879C2—22no—
1880C2—41no—
1881C2—44no—
1882C2—1184no—
1883C2—2362no—
1884C2C22×#41×D5911yescharacteristic
1885C2C22×#1427377411yescharacteristic
1886C2C2×#1683823811yescharacteristic
subgroupG/H
centerC2×C4C24×D59
commutator, socle, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC59×#3444C2
hypercenter#3444D59
hypocenterC59#62805
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #21438190C2semidirect
2. #21438147C2semidirect
3. #21438133C2semidirect
4. #21438111C2semidirect
5. #21438076C2semidirect
6. #21438062C2semidirect
7. #21438003C2semidirect
8. #21437997C2semidirect
9. #21437983C2semidirect
10. #21437975C2semidirect
11. #21437908C2semidirect
12. #21437876C2semidirect
13. #21437850C2semidirect
14. #21437836C2semidirect
15. #21437768C2semidirect
16. #21437718C2semidirect
17. #21437711C2semidirect
18. #21437709C2semidirect
19. #41×Dic118C2semidirect
20. #21437660C2semidirect
21. #21437656C2semidirect
22. #21437523C2semidirect
23. #21437521C2semidirect
24. #21437391C2semidirect
25. C2×#16837959C2semidirect
26. #533×D59C2semidirect
27. C4×#14273774C2semidirect
28. C2×C4×#11745685C2semidirect
29. C59×#3444C2semidirect
32. Q8×Dic118C22semidirect
33. #16838131C22semidirect
34. #16838131C22semidirect
35. #16838130C22semidirect
36. #16838129C22semidirect
37. #16838128C22semidirect
38. #16838125C22semidirect
39. #16838125C22semidirect
40. #16838123C22semidirect
41. #16838122C22semidirect
42. #16838122C22semidirect
43. #16838121C22semidirect
44. #16838120C22semidirect
45. #16838119C22semidirect
46. #16838117C22semidirect
47. #16838116C22semidirect
48. #16838112C22semidirect
50. #16838111C22semidirect
51. #16838110C22semidirect
53. #16838109C22semidirect
54. #16838104C22semidirect
55. #16838102C22semidirect
56. #16838099C22semidirect
57. #16838094C22semidirect
58. #16838094C22semidirect
59. #16838093C22semidirect
61. #16838092C22semidirect
62. #16838091C22semidirect
63. #16838091C22semidirect
64. #16838090C22semidirect
66. #16838089C22semidirect
67. #16838088C22semidirect
68. #16838086C22semidirect
69. #16838085C22semidirect
73. Q8×D236C22semidirect
75. D4×Dic118C22semidirect
76. D4×Dic118C22semidirect
77. #16838065C22semidirect
79. #16838060C22semidirect
80. #16838059C22semidirect
81. #16838058C22semidirect
83. #16838057C22semidirect
84. #16838057C22semidirect
85. #16838056C22semidirect
86. #16838052C22semidirect
87. #16838052C22semidirect
88. #16838051C22semidirect
92. #16838032C22semidirect
93. #16838030C22semidirect
94. #16838023C22semidirect
95. #16838021C22semidirect
96. #16838020C22semidirect
97. #16838019C22semidirect
98. #16838017C22semidirect
99. #16838015C22semidirect
100. #16838014C22semidirect
101. #16838012C22semidirect
102. #16838010C22semidirect
103. #16838009C22semidirect
104. #16837995C22semidirect
105. #16837994C22semidirect
106. #16837993C22semidirect
111. #16837973C22semidirect
112. #16837972C22semidirect
117. #16837959C22semidirect
118. #16837959C22semidirect
119. #16837959C22semidirect
120. #16837959C22semidirect
121. #16837959C22semidirect
122. #16837958C22semidirect
123. #16837957C22semidirect
124. #16837957C22semidirect
125. #16837957C22semidirect
126. #16837957C22semidirect
127. #16837956C22semidirect
128. #16837956C22semidirect
130. #16837955C22semidirect
133. #16837950C22semidirect
134. #16837950C22semidirect
135. C2×#14273727C22semidirect
136. C2×#14273727C22semidirect
137. C4⋊Q8×D59C22semidirect
138. C4⋊Q8×D59C22semidirect
139. #16837936C22semidirect
140. #16837934C22semidirect
141. #16837934C22semidirect
142. #16837934C22semidirect
145. #16837932C22semidirect
146. #16837932C22semidirect
147. #16837931C22semidirect
148. #16837931C22semidirect
149. #16837930C22semidirect
150. C2×#14273719C22semidirect
151. #125×D59C22semidirect
159. #16837885C22semidirect
161. #16837882C22semidirect
162. #16837881C22semidirect
163. #16837881C22semidirect
164. #16837879C22semidirect
165. #16837879C22semidirect
166. #16837878C22semidirect
180. C4×#11745685C22semidirect
181. C4×#11745687C22semidirect
182. C4×#11745687C22semidirect
183. C4×#11745687C22semidirect
186. C2×C4×Dic118C22semidirect
187. C2×C4×Dic118C22semidirect
188. C2×C4×Dic118C22semidirect
189. C4×Q8×D59C22semidirect
190. C4×Q8×D59C22semidirect
201. C59×#533C22semidirect
202. C59×#533C22semidirect
204. C59×#532C22semidirect
205. C59×#532C22semidirect
208. C59×#529C22semidirect
209. C59×#529C22semidirect
210. C59×#529C22semidirect
211. C59×#529C22semidirect
216. C4×#41×C59C22semidirect
217. C4×#41×C59C22semidirect
633. #11745685#41semidirect
827. C2×C4×C592−1+4semidirect
959. #3444D59semidirect
1077. #533C2×D59semidirect
1078. #533C2×D59semidirect
1082. #532C2×D59semidirect
1083. #532C2×D59semidirect
1101. #529C2×D59semidirect
1102. #529C2×D59semidirect
1103. #529C2×D59semidirect
1104. #529C2×D59semidirect
1143. C4×#41C2×D59semidirect
1144. C4×#41C2×D59semidirect
1162. C59#62805semidirect
1818. C2×C4#14273774semidirect

Maximal subgroups

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

subgroupindex
#214381902
#214381472
#214381332
#214381112
#214380762
#214380622
#214380032
#214379972
#214379832
#214379752
#214379082
#214378762
#214378502
#214378362
#214377682
#214377182
#214377112
#214377092
#41×Dic1182
#214376602
#214376562
#214375232
#214375212
#214373912
C2×#168379592
#533×D592
C4×#142737742
C2×C4×#117456852
C59×#34442
#6280559