Finite Group Databasebeta

← #29497079

Subgroups — #29497079

Order 15104.

7856 conjugacy classes of subgroups.

The subgroup lattice has 1970 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438180C212yesmaximal, complemented
2#21438131C212yesmaximal, complemented
3#21438121C214yesmaximal, complemented
4#21438101C212yesmaximal, complemented
5#21438060C212yesmaximal, complemented
6#21438050C214yesmaximal, complemented
7#21438008C212yesmaximal, complemented
8#21437972C211yesmaximal, characteristic, complemented
9#21437965C212yesmaximal, complemented
10#21437912C211yesmaximal, characteristic, complemented
11#21437869C211yesmaximal, characteristic, complemented
12#21437832C212yesmaximal, complemented
13#21437829C214yesmaximal, complemented
14#21437760C212yesmaximal, complemented
15#21437721C212yesmaximal, complemented
16#21437707C212yesmaximal, complemented
17#21437703C214yesmaximal, complemented
18#21437688C212yesmaximal, complemented
19#21437585C214yesmaximal, complemented
20#21437583C212yesmaximal, complemented
21#21437516C214yesmaximal, complemented
22#21437513C212yesmaximal, complemented
23#21437393C212yesmaximal, complemented
24#21437391C211yesmaximal, characteristic, complemented
25C2×#16837953C211yesmaximal, characteristic, complemented
26#532×D59C212yesmaximal, complemented
27#21437302C212yesmaximal, complemented
28C4×#41×D59C211yesmaximal, characteristic, complemented
29C59×#3511C211yesmaximal, characteristic, complemented
30C2×#14273773C2212yes—
31C22×#11745689C2212yescomplemented
32C2×#41×D59C2211yescharacteristic
33C2×#41×D59C2214yescomplemented
34#16838137C2212yescomplemented
35#16838137C2212yescomplemented
36#16838135C2214yescomplemented
37#16838134C2214yescomplemented
38#16838132C2212yescomplemented
39#16838127C2212yescomplemented
40#16838124C2214yescomplemented
41#16838115C2214yescomplemented
42#16838115C2214yescomplemented
43#16838114C2218yescomplemented
44#16838113C2212yescomplemented
45#16838108C2214yescomplemented
46#16838107C2214yescomplemented
47#16838105C2214yescomplemented
48#16838103C2218yescomplemented
49#16838100C2214yescomplemented
50#16838097C2218yescomplemented
51#16838096C2214yescomplemented
52#16838096C2214yescomplemented
53#16838081C2218yescomplemented
54#16838079C2218yescomplemented
55#16838077C2218yescomplemented
56#16838073C2212yescomplemented
57#16838073C2212yescomplemented
58#16838073C2212yescomplemented
59#16838073C2212yescomplemented
60#16838071C2214yescomplemented
61#16838070C2214yescomplemented
62#16838070C2214yescomplemented
63#16838067C2212yescomplemented
64Q8×C22⋊D59C2214yescomplemented
65#16838064C2214yescomplemented
66#16838062C2214yescomplemented
67#16838062C2214yescomplemented
68#16838054C2214yescomplemented
69#16838054C2218yescomplemented
70#16838053C2214yescomplemented
71#16838049C2214yescomplemented
72#16838048C2214yescomplemented
73#16838048C2214yescomplemented
74#16838048C2218yescomplemented
75#16838047C2214yescomplemented
76#16838045C2214yescomplemented
77#16838045C2218yescomplemented
78#16838044C2218yescomplemented
79#16838043C2214yescomplemented
80#16838041C2218yescomplemented
81#16838040C2214yescomplemented
82D4×D236C2212yescomplemented
83D4×D236C2212yescomplemented
84#16838036C2214yescomplemented
85#16838036C2214yescomplemented
86#16838036C2218yescomplemented
87#16838036C2214yescomplemented
88#16838033C2212yescomplemented
89#16838029C2214yescomplemented
90#16838025C2214yescomplemented
91#16838025C2214yescomplemented
92#16838024C2214yescomplemented
93#16838022C2218yescomplemented
94#16838007C2214yescomplemented
95#16838005C2214yescomplemented
96#16838005C2214yescomplemented
97#16838004C2218yescomplemented
98#16838003C2214yescomplemented
99#16837991C2218yescomplemented
100#16837989C2218yescomplemented
101#16837986C2218yescomplemented
102#16837982C2214yescomplemented
103#16837970C2214yescomplemented
104#16837968C2214yescomplemented
105#16837966C2212yescomplemented
106#16837966C2212yescomplemented
107#16837959C2211yescharacteristic, complemented
108#16837957C2212yescomplemented
109#16837957C2211yescharacteristic, complemented
110#16837957C2211yescharacteristic, complemented
111#16837953C2212yescomplemented
112#16837953C2212yescomplemented
113#16837953C2212yescomplemented
114#16837953C2212yescomplemented
115#16837953C2212yescomplemented
116#16837953C2212yescomplemented
117#16837953C2212yescomplemented
118#16837953C2212yescomplemented
119#16837953C2212yescomplemented
120#16837952C2212yescomplemented
121#16837952C2212yescomplemented
122#16837951C2218yescomplemented
123#16837951C2214yescomplemented
124#16837950C2211yescharacteristic, complemented
125#16837950C2211yescharacteristic, complemented
126#16837949C2214yescomplemented
127#16837949C2214yescomplemented
128#16837948C2214yescomplemented
129#16837947C2214yescomplemented
130#16837947C2214yescomplemented
131#16837947C2214yescomplemented
132C4⋊Q8×D59C2212yescomplemented
133C2×#14273724C2211yescharacteristic, complemented
134#127×D59C2212yescomplemented
135#16837939C2214yescomplemented
136#16837939C2214yescomplemented
137#16837938C2214yescomplemented
138#16837938C2214yescomplemented
139#16837938C2214yescomplemented
140#16837937C2214yescomplemented
141#16837937C2214yescomplemented
142#16837935C2218yescomplemented
143#16837934C2212yescomplemented
144#16837934C2212yescomplemented
145#16837933C2212yescomplemented
146#16837933C2212yescomplemented
147#16837931C2212yescomplemented
148#16837931C2212yescomplemented
149C2×#14273716C2212yescomplemented
150#124×D59C2214yescomplemented
151#16837915C2218yescomplemented
152#16837915C2214yescomplemented
153#16837915C2214yescomplemented
154#16837914C2214yescomplemented
155#16837912C2218yescomplemented
156#16837912C2212yescomplemented
157#16837912C2212yescomplemented
158#16837910C2218yescomplemented
159#16837909C2212yescomplemented
160C2×#14273702C2212yescomplemented
161C2×#14273702C2212yescomplemented
162#121×D59C2214yescomplemented
163#121×D59C2214yescomplemented
164#16837884C2214yescomplemented
165#16837883C2212yes—
166#16837883C2214yescomplemented
167#16837876C2212yescomplemented
168#16837876C2214yescomplemented
169#16837874C2214yescomplemented
170#16837874C2218yescomplemented
171#41×Dic59C2211yescharacteristic, complemented
172#41×Dic59C2212yescomplemented
173C4×#11745689C2211yescharacteristic, complemented
174C4×#11745689C2214yescomplemented
175C4×#11745689C2211yescharacteristic, complemented
176C4×#11745689C2214yescomplemented
177C4×#11745685C2211yescharacteristic
178C4×#11745685C2212yescomplemented
179#16837870C2211yescharacteristic
180#16837870C2214yescomplemented
181#16837870C2214yescomplemented
182#16837870C2212yescomplemented
183C4×#11745687C2212yescomplemented
184C4×#11745687C2212yescomplemented
185C4×#11745687C2211yescharacteristic, complemented
186C4×#11745687C2212yescomplemented
187C4×#11745687C2211yescharacteristic, complemented
188C4×#11745687C2212yescomplemented
189C4×Q8×D59C2211yescharacteristic, complemented
190C4×Q8×D59C2211yescharacteristic, complemented
191C2×#14273689C2212yescomplemented
192C2×#14273689C2214yescomplemented
193C2×#14273689C2212yescomplemented
194C4×D4×D59C2214yescomplemented
195C4×D4×D59C2218yescomplemented
196C4×D4×D59C2214yescomplemented
197C4×D4×D59C2211yescharacteristic, complemented
198C4×D4×D59C2212yescomplemented
199C4×D4×D59C2212yescomplemented
200C4×D4×D59C2211yescharacteristic, complemented
201#117×D59C2212yescomplemented
202#117×D59C2211yescharacteristic, complemented
203C2×C42×D59C2212yescomplemented
204C2×C42×D59C2211yescharacteristic, complemented
205C59×#556C2212yescomplemented
206C59×#555C2212yescomplemented
207C59×#554C2212yescomplemented
208C59×#553C2214yescomplemented
209C59×#548C2214yescomplemented
210C59×#547C2212yescomplemented
211C59×#542C2214yescomplemented
212C59×#537C2212yescomplemented
213C59×#533C2212yescomplemented
214C59×#532C2212yescomplemented
215C59×#532C2211yescharacteristic, complemented
216C2×C4⋊Q8×C59C2211yescharacteristic, complemented
217C59×#520C2212yescomplemented
218C4×#41×C59C2211yescharacteristic, complemented
219#14273773—216no—
220C2×#11745689—48no—
221C2×#11745689C2314yes—
222C2×#11745689C2314yes—
223C2×#11745689C2311yescharacteristic
224C2×#11745689C2314yes—
225C2×#11745689C2314yes—
226C2×#11745689C2314yes—
227C2×#11745685C2312yes—
228C2×#11745685C2314yes—
229C2×#11745685C2314yes—
230C2×#11745685C2314yes—
231C2×#11745685C2318yes—
232C2×#11745685C2311yescharacteristic
233C2×#11745687C2312yes—
234C2×#11745687C2312yes—
235C2×#11745687C2311yescharacteristic
236C2×#11745687C2318yes—
237C2×#11745687C2312yes—
238#41×D59—28no—
239#41×D59—416no—
240C2×Q8×D59C2311yescharacteristic
241C2×Q8×D59C2314yes—
242C22×D236C2312yes—
243C22×D236C2314yes—
244C22×D236C2314yes—
245C22×D236C2312yes—
246C22×D236C2312yes—
247C2×D4×D59C2314yes—
248C2×D4×D59C2311yescharacteristic
249C2×D4×D59C2312yes—
250C2×D4×D59C2318yes—
251C2×D4×D59C2318yes—
252C2×D4×D59C2314yes—
253C2×D4×D59C2314yes—
254C22×C4×D59C2312yes—
255C22×C4×D59C2311yescharacteristic
256C22×C4×D59C2311yescharacteristic
257C22×C4×D59C2312yes—
258C22×C4×D59C2312yes—
259C22×C4×D59C2311yescharacteristic
260C22×C4×D59C2318yes—
261C22×C4×D59C2314yes—
262#14273727C2311yescharacteristic
263#14273727C2311yescharacteristic
264#14273726C2314yes—
265#14273726C2314yes—
266#14273726C2314yes—
267#14273725C2314yes—
268#14273725C2318yes—
269#14273724C2312yes—
270#14273724C2312yes—
271#14273724C2312yes—
272#14273724C2312yes—
273#14273723C2314yes—
274#14273723C2314yes—
275#14273723C2314yes—
276#14273723C2314yes—
277#14273723C2318yes—
278#14273722C2318yes—
279#14273722C2318yes—
280#14273722C2318yes—
281#14273721C2318yes—
282#14273720C2314yes—
283#14273720C2314yes—
284#14273719C2312yes—
285#14273718C2312yes—
286#14273718C2312yes—
287#14273718C2314yes—
288#14273718C2314yes—
289#14273717C2318yes—
290#14273716C2314yes—
291#14273716C2314yes—
292#14273716C2314yes—
293#14273716C2314yes—
294#14273716C2314yes—
295#14273716C2314yes—
296#14273715C2314yes—
297#14273715C2314yes—
298#14273715C2318yes—
299#14273714C2312yes—
300#14273714C2312yes—
301#14273713C2318yes—
302#14273713C2318yes—
303#14273713C2318yes—
304#14273713C2318yes—
305#14273712C2318yes—
306#14273712C2318yes—
307#14273712C2318yes—
308#14273712C2318yes—
309#14273712C2318yes—
310#14273711C2318yes—
311#14273711C2318yes—
312#14273710C2318yes—
313#14273709C2314yes—
314#14273709C2314yes—
315#14273709C2318yes—
316#14273709C2318yes—
317#14273709C2318yes—
318#14273708C2314yes—
319#14273707C2312yes—
320#14273707C2312yes—
321#14273707C2318yes—
322#14273707C2314yes—
323#14273706C2312yes—
324#14273706C2312yes—
325#14273706C2318yes—
326#14273705C2318yes—
327#14273705C2318yes—
328#14273705C2318yes—
329#14273703C2312yes—
330#14273703C2312yes—
331#14273703C2314yes—
332#14273703C2318yes—
333#14273702C2314yes—
334#14273702C2314yes—
335#14273702C2314yes—
336#14273702C2314yes—
337#14273702C2314yes—
338#14273702C2314yes—
339#14273702C2314yes—
340#14273702C2314yes—
341#14273702C2314yes—
342#14273702C2314yes—
343#14273702C2318yes—
344#14273701C2314yes—
345#14273701C2314yes—
346#14273701C2314yes—
347#14273701C2314yes—
348#14273701C2318yes—
349#14273701C2314yes—
350#14273701C2314yes—
351#14273700C2318yes—
352#14273700C2318yes—
353#14273700C2318yes—
354#14273700C2318yes—
355#14273700C2318yes—
356#14273700C2318yes—
357#14273700C2318yes—
358#14273700C2318yes—
359#14273700C2318yes—
360#14273699C2318yes—
361#14273699C2318yes—
362#14273699C2318yes—
363#14273698C2312yes—
364#14273698C2312yes—
365#14273698C2312yes—
366#14273698C2312yes—
367#14273698C2318yes—
368#14273697C2318yes—
369#14273697C2318yes—
370#14273697C2318yes—
371#14273697C2318yes—
372#14273695C2314yes—
373#14273695C2318yes—
374#14273695C2318yes—
375#14273695C2318yes—
376Q8×Dic59C2312yes—
377Q8×Dic59C2312yes—
378Q8×Dic59C2311yescharacteristic
379Q8×Dic59C2314yes—
380Q8×Dic59C2311yescharacteristic
381C4×Dic118C2312yes—
382C4×Dic118C2312yes—
383C4×Dic118C2311yescharacteristic
384C4×Dic118C2311yescharacteristic
385C4×Dic118C2312yes—
386C4×Dic118C2312yes—
387#14273692C2312yes—
388#14273692C2312yes—
389#14273692C2312yes—
390#14273692C2314yes—
391#14273692C2312yes—
392#14273692C2314yes—
393#14273692C2311yescharacteristic
394#14273692C2311yescharacteristic
395C4×D236C2318yes—
396C4×D236C2318yes—
397C4×D236C2314yes—
398C4×D236C2314yes—
399C4×D236C2314yes—
400C4×D236C2314yes—
401C4×D236C2311yescharacteristic
402C4×D236C2311yescharacteristic
403C4×D236C2312yes—
404C4×D236C2318yes—
405C4×D236C2312yes—
406D4×Dic59C2312yes—
407D4×Dic59C2314yes—
408D4×Dic59C2314yes—
409D4×Dic59C2312yes—
410D4×Dic59C2312yes—
411D4×Dic59C2312yes—
412D4×Dic59C2312yes—
413D4×Dic59C2311yescharacteristic
414D4×Dic59C2312yes—
415D4×Dic59C2311yescharacteristic
416#14273689C2314yes—
417#14273689C2318yes—
418#14273689C2312yes—
419#14273689C2318yes—
420#14273689C2314yes—
421#14273689C2314yes—
422#14273689C2314yes—
423#14273689C2314yes—
424#14273689C2314yes—
425#14273689C2314yes—
426#14273689C2314yes—
427#14273689C2314yes—
428#14273689C2314yes—
429#14273689C2312yes—
430#14273689C2314yes—
431#14273689C2318yes—
432#14273689C2314yes—
433#14273689C2314yes—
434#14273689C2311yescharacteristic
435#14273689C2311yescharacteristic
436C4×C22⋊D59C2314yes—
437C4×C22⋊D59C2314yes—
438C4×C22⋊D59C2318yes—
439C4×C22⋊D59C2318yes—
440C4×C22⋊D59C2312yes—
441C4×C22⋊D59C2312yes—
442C4×C22⋊D59C2318yes—
443C4×C22⋊D59C2312yes—
444C4×C22⋊D59C2312yes—
445C4×C22⋊D59C2312yes—
446C4×C22⋊D59C2318yes—
447C4×C22⋊D59C2312yes—
448(C22⋊D59)⋊C4C2312yes—
449(C22⋊D59)⋊C4C2318yes—
450(C22⋊D59)⋊C4C2314yes—
451(C22⋊D59)⋊C4C2318yes—
452(C22⋊D59)⋊C4C2314yes—
453(C22⋊D59)⋊C4C2318yes—
454(C22⋊D59)⋊C4C2318yes—
455(C22⋊D59)⋊C4C2312yes—
456(C22⋊D59)⋊C4C2312yes—
457(C22⋊D59)⋊C4C2312yes—
458(C22⋊D59)⋊C4C2318yes—
459(C22⋊D59)⋊C4C2312yes—
460(C22⋊D59)⋊C4C2312yes—
461#14273686C2312yes—
462#14273686C2314yes—
463#14273686C2311yescharacteristic
464#14273686C2312yes—
465#14273685C2312yes—
466#14273685C2318yes—
467#14273685C2312yes—
468#14273685C2314yes—
469#14273685C2318yes—
470#14273685C2312yes—
471#14273685C2312yes—
472#14273685C2311yescharacteristic
473#14273685C2311yescharacteristic
474#14273684C2318yes—
475#14273684C2312yes—
476#14273684C2312yes—
477#14273684C2318yes—
478#14273684C2312yes—
479#14273683C2314yes—
480#14273683C2314yes—
481#14273683C2312yes—
482#14273683C2312yes—
483#14273683C2312yes—
484C4⋊C4×D59C2314yes—
485C4⋊C4×D59C2314yes—
486C4⋊C4×D59C2311yescharacteristic
487C4⋊C4×D59C2312yes—
488C4⋊C4×D59C2318yes—
489C4⋊C4×D59C2311yescharacteristic
490C4⋊C4×D59C2312yes—
491C2×(C2×D59)⋊C4C2314yes—
492C2×(C2×D59)⋊C4C2314yes—
493C2×(C2×D59)⋊C4C2318yes—
494C22⋊C4×D59C2318yes—
495C22⋊C4×D59C2318yes—
496C22⋊C4×D59C2312yes—
497C22⋊C4×D59C2312yes—
498C22⋊C4×D59C2318yes—
499C22⋊C4×D59C2312yes—
500C22⋊C4×D59C2318yes—
501C2×C4×Dic59C2311yescharacteristic
502C2×C4×Dic59C2311yescharacteristic
503C2×C4×Dic59C2312yes—
504C2×C4×Dic59C2312yes—
505C2×C4×Dic59C2314yes—
506C2×C4×Dic59C2312yes—
507C2×C4×Dic59C2311yescharacteristic
508C42×D59C2312yes—
509C42×D59C2311yescharacteristic
510C42×D59C2311yescharacteristic
511C42×D59C2311yescharacteristic
512C42×D59C2311yescharacteristic
513C42×D59C2318yes—
514C42×D59C2312yes—
515C42×D59C2312yes—
516C42×D59C2312yes—
517C42×D59C2312yes—
518C42×D59C2311yescharacteristic
519C42×D59C2311yescharacteristic
520C42×D59C2312yes—
521C42×D59C2311yescharacteristic
522C42×D59C2311yescharacteristic
523C42×D59C2312yes—
524C2×#41×C59C2312yes—
525C2×#41×C59C2311yescharacteristic
526C2×#41×C59C2314yes—
527C22×Q8×C59C2312yes—
528C4⋊Q8×C59C2312yes—
529C4⋊Q8×C59C2311yescharacteristic
530C4⋊Q8×C59C2312yes—
531C4⋊Q8×C59C2312yes—
532C4⋊Q8×C59C2312yes—
533#127×C59C2311yescharacteristic
534#126×C59C2318yes—
535#125×C59C2314yes—
536#124×C59C2314yes—
537#124×C59C2312yes—
538#124×C59C2318yes—
539#123×C59C2318yes—
540C22⋊Q8×C59C2314yes—
541C22⋊Q8×C59C2314yes—
542C22⋊Q8×C59C2318yes—
543C22⋊Q8×C59C2314yes—
544#121×C59C2314yes—
545#121×C59C2314yes—
546#121×C59C2312yes—
547#121×C59C2312yes—
548#121×C59C2318yes—
549#121×C59C2314yes—
550C4×Q8×C59C2314yes—
551C4×Q8×C59C2314yes—
552C4×Q8×C59C2311yescharacteristic
553C4×Q8×C59C2311yescharacteristic
554C4×D4×C59C2312yes—
555C4×D4×C59C2312yes—
556C4×D4×C59C2314yes—
557C4×D4×C59C2314yes—
558C4×D4×C59C2312yes—
559C4×D4×C59C2312yes—
560C4×D4×C59C2318yes—
561C4×D4×C59C2311yescharacteristic
562C4×D4×C59C2311yescharacteristic
563#117×C59C2314yes—
564#117×C59C2312yes—
565#117×C59C2311yescharacteristic
566#117×C59C2314yes—
567C2×C4⋊C4×C59C2312yes—
568C2×C4⋊C4×C59C2312yes—
569C2×C4⋊C4×C59C2314yes—
570C2×C42×C59C2311yescharacteristic
571C2×C42×C59C2312yes—
572C23×D59C2411yescharacteristic
573C23×D59C2412yes—
574C23×D59C2418yes—
575C23×D59C2414yes—
576#41×C59—24no—
577#41×C59—28no—
578#41×C59—48no—
579C2×Q8×C59—44no—
580C2×Q8×C59C2411yescharacteristic
581C2×Q8×C59C2412yes—
582C2×Q8×C59C2414yes—
583C2×Q8×C59C2414yes—
584C2×D4×C59C2412yes—
585C2×D4×C59C2412yes—
586C2×D4×C59C2414yes—
587C2×D4×C59C2411yescharacteristic
588C2×D4×C59C2412yes—
589C2×D4×C59C2412yes—
590C2×D4×C59C2418yes—
591C22×C4×C59C2411yescharacteristic
592C22×C4×C59C2412yes—
593C22×C4×C59C2412yes—
594C22×C4×C59C2411yescharacteristic
595C22×C4×C59C2412yes—
596C22×C4×C59C2414yes—
597C22×C4×C59C2414yes—
598C22×C4×C59C2418yes—
599C22×C4×C59C2411yescharacteristic
600C2×C22⋊D59C2412yes—
601C2×C22⋊D59C2418yes—
602C2×C22⋊D59C2412yes—
603C2×C22⋊D59C2414yes—
604C2×C22⋊D59C2418yes—
605C2×C22⋊D59C2414yes—
606C2×C22⋊D59C2418yes—
607C2×C22⋊D59C2418yes—
608C2×C22⋊D59C2418yes—
609C2×C22⋊D59C2412yes—
610C22×Dic59C2411yescharacteristic
611C22×Dic59C2412yes—
612C22×Dic59C2412yes—
613C22×Dic59C2411yescharacteristic
614C22×Dic59C2414yes—
615C22×Dic59C2411yescharacteristic
616C22×Dic59C2412yes—
617C22×Dic59C2414yes—
618#11745689—24no—
619#11745689—216no—
620#11745689—216no—
621#11745689—48no—
622#11745689—48no—
623#11745689—48no—
624Q8×D59—24no—
625Q8×D59—48no—
626#11745687—28no—
627#11745687—28no—
628#11745687—24no—
629#11745687—44no—
630#11745687—416no—
631D4×D59—28no—
632D4×D59—232no—
633D4×D59—24no—
634D4×D59—216no—
635D4×D59—48no—
636D4×D59—48no—
637D4×D59—416no—
638#11745685—28no—
639#11745685—216no—
640#11745685—48no—
641#11745685—48no—
642#11745685—416no—
643#11745685#4118yescomplemented
644C2×D236—28no—
645C2×D236—216no—
646C2×D236—44no—
647C2×D236—44no—
648C2×D236—48no—
649C2×D236C2414yes—
650C2×D236C2414yes—
651C2×D236C2412yes—
652C2×D236C2418yes—
653C2×D236C2414yes—
654C2×D236C2418yes—
655C2×D236C2414yes—
656C2×D236C2414yes—
657C2×D236C2414yes—
658C2×D236C2418yes—
659C2×D236C2411yescharacteristic
660C2×C4×D59—24no—
661C2×C4×D59—28no—
662C2×C4×D59—28no—
663C2×C4×D59—24no—
664C2×C4×D59—416no—
665C2×C4×D59—48no—
666C2×C4×D59—44no—
667C2×C4×D59—42no—
668C2×C4×D59C2411yescharacteristic
669C2×C4×D59C2411yescharacteristic
670C2×C4×D59C2412yes—
671C2×C4×D59C2411yescharacteristic
672C2×C4×D59C2412yes—
673C2×C4×D59C2411yescharacteristic
674C2×C4×D59C2412yes—
675C2×C4×D59C2412yes—
676C2×C4×D59C2411yescharacteristic
677C2×C4×D59C2411yescharacteristic
678C2×C4×D59C2411yescharacteristic
679C2×C4×D59C2411yescharacteristic
680C2×C4×D59C2412yes—
681C2×C4×D59C2411yescharacteristic
682C2×C4×D59C2412yes—
683C2×C4×D59C2418yes—
684C2×C4×D59C2418yes—
685C2×C4×D59C2412yes—
686C2×C4×D59C2411yescharacteristic
687C2×C4×D59C2412yes—
688C2×C4×D59C2411yescharacteristic
689C2×C4×D59C2418yes—
690C2×C4×D59C2418yes—
691C2×C4×D59C2418yes—
692C2×C4×D59C2418yes—
693C2×C4×D59C2412yes—
694C2×C4×D59C2411yescharacteristic
695C2×Dic118C2412yes—
696C2×Dic118C2412yes—
697C2×Dic118C2412yes—
698C2×Dic118C2418yes—
699C2×Dic118C2411yescharacteristic
700C4⋊C4×C59C2411yescharacteristic
701C4⋊C4×C59C2414yes—
702C4⋊C4×C59C2414yes—
703C4⋊C4×C59C2414yes—
704C4⋊C4×C59C2418yes—
705C4⋊C4×C59C2414yes—
706C4⋊C4×C59C2411yescharacteristic
707C4⋊C4×C59C2412yes—
708C4⋊C4×C59C2412yes—
709C4⋊C4×C59C2412yes—
710C4⋊C4×C59C2412yes—
711C4⋊C4×C59C2418yes—
712C22⋊C4×C59C2412yes—
713C22⋊C4×C59C2418yes—
714C22⋊C4×C59C2412yes—
715C22⋊C4×C59C2412yes—
716C22⋊C4×C59C2418yes—
717C22⋊C4×C59C2418yes—
718C22⋊C4×C59C2414yes—
719C22⋊C4×C59C2414yes—
720C42×C59C2411yescharacteristic
721C42×C59C2412yes—
722C42×C59C2411yescharacteristic
723C42×C59C2412yes—
724C42×C59C2411yescharacteristic
725C42×C59C2411yescharacteristic
726C42×C59C2412yes—
727C42×C59C2418yes—
728C22⋊Dic59C2414yes—
729C22⋊Dic59C2414yes—
730C22⋊Dic59C2414yes—
731C22⋊Dic59C2414yes—
732C22⋊Dic59C2412yes—
733C22⋊Dic59C2412yes—
734C22⋊Dic59C2412yes—
735C22⋊Dic59C2414yes—
736(C2×D59)⋊C4C2412yes—
737(C2×D59)⋊C4C2418yes—
738(C2×D59)⋊C4C2412yes—
739(C2×D59)⋊C4C2418yes—
740(C2×D59)⋊C4C2418yes—
741(C2×D59)⋊C4C2418yes—
742(C2×D59)⋊C4C2418yes—
743(C2×D59)⋊C4C2412yes—
744(C2×D59)⋊C4C2412yes—
745(C2×D59)⋊C4C2412yes—
746(C2×D59)⋊C4C2412yes—
747(C2×D59)⋊C4C2418yes—
748(C2×D59)⋊C4C2418yes—
749(C2×D59)⋊C4C2418yes—
750(C2×D59)⋊C4C2418yes—
751(C2×D59)⋊C4C2414yes—
752(C2×D59)⋊C4C2414yes—
753(C2×D59)⋊C4C2418yes—
754(C2×D59)⋊C4C2418yes—
755C4⋊Dic59C2412yes—
756C4⋊Dic59C2412yes—
757C4⋊Dic59C2414yes—
758C4⋊Dic59C2411yescharacteristic
759C4⋊Dic59C2411yescharacteristic
760C4⋊Dic59C2412yes—
761C4⋊Dic59C2412yes—
762C4⋊Dic59C2412yes—
763C4⋊Dic59C2414yes—
764C4⋊Dic59C2412yes—
765C4⋊Dic59C2418yes—
766Dic59⋊C4C2412yes—
767Dic59⋊C4C2418yes—
768Dic59⋊C4C2412yes—
769Dic59⋊C4C2412yes—
770Dic59⋊C4C2412yes—
771Dic59⋊C4C2412yes—
772Dic59⋊C4C2412yes—
773Dic59⋊C4C2418yes—
774Dic59⋊C4C2414yes—
775Dic59⋊C4C2414yes—
776Dic59⋊C4C2414yes—
777Dic59⋊C4C2414yes—
778Dic59⋊C4C2418yes—
779C4×Dic59C2412yes—
780C4×Dic59C2411yescharacteristic
781C4×Dic59C2411yescharacteristic
782C4×Dic59C2411yescharacteristic
783C4×Dic59C2411yescharacteristic
784C4×Dic59C2411yescharacteristic
785C4×Dic59C2411yescharacteristic
786C4×Dic59C2412yes—
787C4×Dic59C2412yes—
788C4×Dic59C2411yescharacteristic
789C4×Dic59C2414yes—
790C4×Dic59C2411yescharacteristic
791C4×Dic59C2412yes—
792C4×Dic59C2412yes—
793C4×Dic59C2412yes—
794C4×Dic59C2411yescharacteristic
795C4×Dic59C2411yescharacteristic
796C4×Dic59C2411yescharacteristic
797C4×Dic59C2412yes—
798C4×Dic59C2412yes—
799C4×Dic59C2411yescharacteristic
800C4×Dic59C2412yes—
801C4×Dic59C2418yes—
802C4×Dic59C2414yes—
803C4×Dic59C2414yes—
804C23×C59C2514yes—
805C23×C59C2512yes—
806C23×C59C2511yescharacteristic
807C22×D59—22no—
808C22×D59—28no—
809C22×D59—24no—
810C22×D59—22no—
811C22×D59—24no—
812C22×D59—216no—
813C22×D59—42no—
814C22×D59—41no—
815C22×D59—44no—
816C22×D59—48no—
817C22×D59—44no—
818C22×D59—48no—
819C22×D59C2518yes—
820C22×D59C2511yescharacteristic
821C22×D59C2512yes—
822C22×D59C2511yescharacteristic
823Q8×C59—22no—
824Q8×C59—24no—
825Q8×C59—28no—
826Q8×C59—44no—
827D4×C59—28no—
828D4×C59—24no—
829D4×C59—24no—
830D4×C59—22no—
831D4×C59—24no—
832D4×C59—24no—
833D4×C59—48no—
834C2×C4×C59—24no—
835C2×C4×C59—28no—
836C2×C4×C59—22no—
837C2×C4×C59—24no—
838C2×C4×C59—22no—
839C2×C4×C59—24no—
840C2×C4×C59—44no—
841C2×C4×C59—48no—
842C2×C4×C59C2×#4114yescomplemented
843C2×C4×C59C2511yescharacteristic
844C2×C4×C59C2511yescharacteristic
845C2×C4×C59C2514yes—
846C2×C4×C59C2512yes—
847C2×C4×C59C2512yes—
848C2×C4×C59C2512yes—
849C2×C4×C59C2518yes—
850C2×C4×C59C2511yescharacteristic
851C2×C4×C59C2511yescharacteristic
852C2×C4×C59C2511yescharacteristic
853C2×C4×C59C2511yescharacteristic
854C22⋊D59—24no—
855C22⋊D59—28no—
856C22⋊D59—216no—
857C22⋊D59—24no—
858C22⋊D59—48no—
859C22⋊D59—48no—
860C22⋊D59—48no—
861C22⋊D59—48no—
862C22⋊D59—44no—
863C22⋊D59C2×#4118yescomplemented
864C2×Dic59—22no—
865C2×Dic59—24no—
866C2×Dic59—22no—
867C2×Dic59—24no—
868C2×Dic59—28no—
869C2×Dic59—41no—
870C2×Dic59—42no—
871C2×Dic59—44no—
872C2×Dic59C2511yescharacteristic
873C2×Dic59C2511yescharacteristic
874C2×Dic59C2511yescharacteristic
875C2×Dic59C2511yescharacteristic
876C2×Dic59C2512yes—
877C2×Dic59C2512yes—
878C2×Dic59C2514yes—
879C2×Dic59C2511yescharacteristic
880C2×Dic59C2514yes—
881C2×Dic59C2512yes—
882C2×Dic59C2511yescharacteristic
883D236—216no—
884D236—24no—
885D236—216no—
886D236—28no—
887D236—28no—
888D236—28no—
889D236—28no—
890D236—44no—
891D236—48no—
892D236—44no—
893D236C2×#4114yescomplemented
894C4×D59—24no—
895C4×D59—24no—
896C4×D59—22no—
897C4×D59—22no—
898C4×D59—22no—
899C4×D59—22no—
900C4×D59—22no—
901C4×D59—24no—
902C4×D59—22no—
903C4×D59—22no—
904C4×D59—24no—
905C4×D59—22no—
906C4×D59—24no—
907C4×D59—216no—
908C4×D59—24no—
909C4×D59—22no—
910C4×D59—216no—
911C4×D59—42no—
912C4×D59—41no—
913C4×D59—41no—
914C4×D59—42no—
915C4×D59—48no—
916C4×D59—48no—
917C4×D59—48no—
918C4×D59—48no—
919C4×D59C2×#4118yescomplemented
920C4×D59H(5,𝔽2)14yescomplemented
921Dic118—24no—
922Dic118—24no—
923Dic118—24no—
924Dic118—48no—
925Dic118C2×#4114yescomplemented
926#62800—591nomaximal, Sylow
927C22×C59—21no—
928C22×C59—21no—
929C22×C59—22no—
930C22×C59—24no—
931C22×C59—24no—
932C22×C59—22no—
933C22×C59—22no—
934C22×C59—24no—
935C22×C59C22×#4112yes—
936C22×C59C2611yescharacteristic
937C2×D59—21no—
938C2×D59—22no—
939C2×D59—21no—
940C2×D59—22no—
941C2×D59—21no—
942C2×D59—28no—
943C2×D59—21no—
944C2×D59—28no—
945C2×D59—21no—
946C2×D59—28no—
947C2×D59—48no—
948C2×D59—44no—
949C2×D59—816no—
950C2×D59—88no—
951C2×D59C22×#4114yes—
952C2×D59C2×H(5,𝔽2)12yes—
953C4×C59—22no—
954C4×C59—24no—
955C4×C59—28no—
956C4×C59—22no—
957C4×C59—21no—
958C4×C59—22no—
959C4×C59—21no—
960C4×C59C22×#4112yes—
961C4×C59C22×#4112yes—
962C4×C59C2×H(5,𝔽2)12yes—
963C4×C59#58512yes—
964Dic59—21no—
965Dic59—21no—
966Dic59—24no—
967Dic59—22no—
968Dic59—21no—
969Dic59—24no—
970Dic59—21no—
971Dic59—21no—
972Dic59—22no—
973Dic59C22×#4114yes—
974Dic59C2×H(5,𝔽2)12yes—
975#3522—592no—
976#3519—592no—
977#3519—594no—
978#3517—592no—
979#3514—592no—
980#3514—594no—
981#3511—592no—
982#3511D5911yescharacteristic, complemented
983#3508—592no—
984#3508—591no—
985#3503—591no—
986#3498—591no—
987#3494—594no—
988#3494—592no—
989#3488—592no—
990#3483—592no—
991#3481—592no—
992#3481—594no—
993#3480—592no—
994D4×#41—594no—
995D4×#41—592no—
996#3460—594no—
997#3460—592no—
998#3444—592no—
999#3444—591no—
1000C2×#532—592no—
1001C2×#532—591no—
1002C4×H(5,𝔽2)—592no—
1003C2×C4×#41—591no—
1004C2×C59—22no—
1005C2×C59—42no—
1006C2×C59—44no—
1007C2×C59C23×#4111yescharacteristic
1008C2×C59C22×H(5,𝔽2)11yescharacteristic
1009C2×C59C2×#58511yescharacteristic
1010D59—22no—
1011D59—24no—
1012D59—41no—
1013D59—48no—
1014C2×H(5,𝔽2)—592no—
1015C22×#41—591no—
1016C22×#41—594no—
1017C22×#41—592no—
1018#559—594no—
1019#559—592no—
1020#559—592no—
1021#559—594no—
1022Q82—592no—
1023#557—592no—
1024#556—594no—
1025#556C2×D5912yescomplemented
1026#555—598no—
1027#555—594no—
1028#555—594no—
1029#555C2×D5912yescomplemented
1030#554—592no—
1031#554—594no—
1032#554—594no—
1033#554C2×D5912yescomplemented
1034#553—598no—
1035#553—594no—
1036#553—598no—
1037#553—594no—
1038#553—594no—
1039#553—594no—
1040#553C2×D5914yescomplemented
1041#551—598no—
1042#551—598no—
1043#551—598no—
1044#550—594no—
1045#550—594no—
1046#550—594no—
1047#550—592no—
1048#550—592no—
1049#550—592no—
1050#550—592no—
1051D4×Q8—594no—
1052D4×Q8—592no—
1053#548—594no—
1054#548—594no—
1055#548—594no—
1056#548C2×D5914yescomplemented
1057#547—598no—
1058#547—594no—
1059#547—594no—
1060#547C2×D5912yescomplemented
1061#546—594no—
1062#546—598no—
1063#546—594no—
1064#546—598no—
1065#546—594no—
1066#546—598no—
1067#546—594no—
1068#546—598no—
1069#546—594no—
1070#546—594no—
1071#546—594no—
1072D42—598no—
1073D42—594no—
1074D42—594no—
1075D42—594no—
1076D42—592no—
1077D42—592no—
1078#544—594no—
1079#544—592no—
1080#542—598no—
1081#542—594no—
1082#542—594no—
1083#542—594no—
1084#542C2×D5914yescomplemented
1085#540—598no—
1086#540—594no—
1087#540—594no—
1088#540—594no—
1089#540—594no—
1090#538—598no—
1091#538—598no—
1092#538—598no—
1093#537—594no—
1094#537C2×D5912yescomplemented
1095#535—592no—
1096#535—592no—
1097#535—594no—
1098#535—594no—
1099#533—591no—
1100#533—592no—
1101#533—591no—
1102#533—591no—
1103#533C2×D5912yescomplemented
1104#532—594no—
1105#532—592no—
1106#532—592no—
1107#532—592no—
1108#532—592no—
1109#532—592no—
1110#532—592no—
1111#532—592no—
1112#532—592no—
1113#532—592no—
1114#532—591no—
1115#532—591no—
1116#532—594no—
1117#532—598no—
1118#532—594no—
1119#532—594no—
1120#532—594no—
1121#532—594no—
1122#532—594no—
1123#532—592no—
1124#532—592no—
1125#532C2×D5912yescomplemented
1126#532C2×D5911yescharacteristic, complemented
1127C2×C4⋊Q8—592no—
1128C2×C4⋊Q8C2×D5911yescharacteristic, complemented
1129C2×#127—592no—
1130C2×#127—591no—
1131#529—598no—
1132#529—594no—
1133#529—594no—
1134#529—592no—
1135#529—592no—
1136#529—594no—
1137#529—594no—
1138#529—594no—
1139#529—592no—
1140#529—592no—
1141#529—594no—
1142#529—594no—
1143#529—592no—
1144#529—592no—
1145C2×#124—592no—
1146C2×#124—594no—
1147#525—592no—
1148#525—598no—
1149#525—594no—
1150#525—594no—
1151#525—598no—
1152#525—592no—
1153#525—592no—
1154#525—598no—
1155#525—594no—
1156C2×#121—594no—
1157C2×#121—594no—
1158C2×#121—592no—
1159C2×#121—592no—
1160#520—594no—
1161#520—592no—
1162#520—594no—
1163#520C2×D5912yescomplemented
1164#518—594no—
1165#518—598no—
1166#518—592no—
1167#518—594no—
1168C4×#41—591no—
1169C4×#41—592no—
1170C4×#41—591no—
1171C4×#41—591no—
1172C4×#41—594no—
1173C4×#41—594no—
1174C4×#41—592no—
1175C4×#41—591no—
1176C4×#41—592no—
1177C4×#41—591no—
1178C4×#41—592no—
1179C4×#41—592no—
1180C4×#41—591no—
1181C4×#41—592no—
1182C4×#41—594no—
1183C4×#41—594no—
1184C4×#41—591no—
1185C4×#41—592no—
1186C4×#41C2×D5911yescharacteristic, complemented
1187C2×C4×Q8—591no—
1188C2×C4×Q8—591no—
1189C2×C4×D4—592no—
1190C2×C4×D4—591no—
1191C2×C4×D4—592no—
1192C2×C4×D4—591no—
1193C2×C4×D4—594no—
1194C2×C4×D4—598no—
1195C2×C4×D4—594no—
1196C2×C4×D4—592no—
1197C2×C4×D4—594no—
1198C2×C4×D4—592no—
1199C2×#117—591no—
1200C2×#117—592no—
1201C22×C42—591no—
1202C22×C42—592no—
1203C59#6280011yescharacteristic, complemented, Sylow
1204H(5,𝔽2)—11816no—
1205C2×#41—591no—
1206C2×#41—594no—
1207C2×#41—594no—
1208C2×#41—594no—
1209C2×#41—594no—
1210C2×#41—594no—
1211C2×#41—592no—
1212C2×#41—591no—
1213C2×#41—592no—
1214C2×#41—592no—
1215C2×#41—598no—
1216C2×#41—591no—
1217C2×#41—592no—
1218C2×#41—594no—
1219C2×#41—594no—
1220C2×#41—598no—
1221C2×#41—594no—
1222C2×#41—1188no—
1223C2×#41—2368no—
1224C2×#41—23616no—
1225C2×#41C22×D5911yescharacteristic
1226C2×#41C22×D5912yes—
1227C2×#41C22×D5914yes—
1228C22×Q8—591no—
1229C22×Q8—594no—
1230C22×Q8C22×D5912yes—
1231C22×D4—592no—
1232C22×D4—591no—
1233C22×D4—594no—
1234C22×D4—598no—
1235C22×D4—594no—
1236C22×D4—598no—
1237C22×D4—594no—
1238C22×D4—592no—
1239C22×D4—594no—
1240C22×D4—592no—
1241C22×D4—594no—
1242C22×D4—592no—
1243C23×C4—592no—
1244C23×C4—591no—
1245C23×C4—591no—
1246C23×C4—592no—
1247C23×C4—594no—
1248C23×C4—598no—
1249C23×C4—591no—
1250C23×C4—592no—
1251C4⋊Q8—594no—
1252C4⋊Q8—598no—
1253C4⋊Q8—594no—
1254C4⋊Q8—594no—
1255C4⋊Q8—594no—
1256C4⋊Q8—591no—
1257C4⋊Q8—591no—
1258C4⋊Q8C22×D5912yes—
1259C4⋊Q8C22×D5912yes—
1260C4⋊Q8C22×D5912yes—
1261C4⋊Q8C22×D5912yes—
1262C4⋊Q8C22×D5911yescharacteristic
1263#127—594no—
1264#127—594no—
1265#127—594no—
1266#127—598no—
1267#127—594no—
1268#127—592no—
1269#127—592no—
1270#127—592no—
1271#127—592no—
1272#127C22×D5911yescharacteristic
1273#126—598no—
1274#126—598no—
1275#126—598no—
1276#126—594no—
1277#126—594no—
1278#126—598no—
1279#126C22×D5918yes—
1280#125—592no—
1281#125—594no—
1282#125—592no—
1283#125—598no—
1284#125—594no—
1285#125—592no—
1286#125C22×D5914yes—
1287#124—594no—
1288#124—594no—
1289#124—594no—
1290#124—594no—
1291#124—594no—
1292#124—594no—
1293#124—592no—
1294#124—592no—
1295#124—598no—
1296#124—598no—
1297#124—598no—
1298#124—598no—
1299#124—594no—
1300#124—594no—
1301#124—598no—
1302#124C22×D5914yes—
1303#124C22×D5912yes—
1304#124C22×D5918yes—
1305#123—594no—
1306#123—598no—
1307#123—598no—
1308#123—598no—
1309#123—598no—
1310#123—598no—
1311#123—598no—
1312#123—594no—
1313#123—598no—
1314#123—594no—
1315#123—598no—
1316#123—598no—
1317#123—598no—
1318#123—598no—
1319#123C22×D5918yes—
1320C22⋊Q8—592no—
1321C22⋊Q8—592no—
1322C22⋊Q8—594no—
1323C22⋊Q8—598no—
1324C22⋊Q8—592no—
1325C22⋊Q8—592no—
1326C22⋊Q8—598no—
1327C22⋊Q8—592no—
1328C22⋊Q8—594no—
1329C22⋊Q8—592no—
1330C22⋊Q8—598no—
1331C22⋊Q8—598no—
1332C22⋊Q8—598no—
1333C22⋊Q8—598no—
1334C22⋊Q8C22×D5914yes—
1335C22⋊Q8C22×D5914yes—
1336C22⋊Q8C22×D5918yes—
1337C22⋊Q8C22×D5914yes—
1338#121—592no—
1339#121—592no—
1340#121—598no—
1341#121—598no—
1342#121—592no—
1343#121—592no—
1344#121—598no—
1345#121—598no—
1346#121—594no—
1347#121—594no—
1348#121—594no—
1349#121—594no—
1350#121—598no—
1351#121—594no—
1352#121—594no—
1353#121—594no—
1354#121—594no—
1355#121—594no—
1356#121—594no—
1357#121—594no—
1358#121—594no—
1359#121—594no—
1360#121—594no—
1361#121—594no—
1362#121—594no—
1363#121—598no—
1364#121—598no—
1365#121—598no—
1366#121—598no—
1367#121—598no—
1368#121—598no—
1369#121—598no—
1370#121—598no—
1371#121—598no—
1372#121—598no—
1373#121C22×D5914yes—
1374#121C22×D5914yes—
1375#121C22×D5912yes—
1376#121C22×D5912yes—
1377#121C22×D5918yes—
1378#121C22×D5914yes—
1379#120—594no—
1380#120—598no—
1381#120—598no—
1382#120—598no—
1383#120—598no—
1384#120—598no—
1385#120—598no—
1386#120—598no—
1387C4×Q8—591no—
1388C4×Q8—591no—
1389C4×Q8—592no—
1390C4×Q8—592no—
1391C4×Q8—594no—
1392C4×Q8—591no—
1393C4×Q8—591no—
1394C4×Q8—592no—
1395C4×Q8—592no—
1396C4×Q8—592no—
1397C4×Q8—594no—
1398C4×Q8—592no—
1399C4×Q8—594no—
1400C4×Q8—591no—
1401C4×Q8—591no—
1402C4×Q8—592no—
1403C4×Q8—592no—
1404C4×Q8—592no—
1405C4×Q8—592no—
1406C4×Q8C22×D5911yescharacteristic
1407C4×Q8C22×D5911yescharacteristic
1408C4×Q8C22×D5914yes—
1409C4×Q8C22×D5914yes—
1410C4×D4—594no—
1411C4×D4—592no—
1412C4×D4—592no—
1413C4×D4—592no—
1414C4×D4—591no—
1415C4×D4—592no—
1416C4×D4—591no—
1417C4×D4—594no—
1418C4×D4—592no—
1419C4×D4—592no—
1420C4×D4—592no—
1421C4×D4—592no—
1422C4×D4—592no—
1423C4×D4—592no—
1424C4×D4—592no—
1425C4×D4—592no—
1426C4×D4—598no—
1427C4×D4—598no—
1428C4×D4—598no—
1429C4×D4—598no—
1430C4×D4—594no—
1431C4×D4—594no—
1432C4×D4—591no—
1433C4×D4—598no—
1434C4×D4—594no—
1435C4×D4—594no—
1436C4×D4—594no—
1437C4×D4—591no—
1438C4×D4—592no—
1439C4×D4—592no—
1440C4×D4—594no—
1441C4×D4—594no—
1442C4×D4—594no—
1443C4×D4—598no—
1444C4×D4—594no—
1445C4×D4—594no—
1446C4×D4—594no—
1447C4×D4—594no—
1448C4×D4—594no—
1449C4×D4—598no—
1450C4×D4—594no—
1451C4×D4—594no—
1452C4×D4—592no—
1453C4×D4—598no—
1454C4×D4—592no—
1455C4×D4—592no—
1456C4×D4—592no—
1457C4×D4—592no—
1458C4×D4—592no—
1459C4×D4—598no—
1460C4×D4—598no—
1461C4×D4—598no—
1462C4×D4—594no—
1463C4×D4—594no—
1464C4×D4—598no—
1465C4×D4—591no—
1466C4×D4—591no—
1467C4×D4—592no—
1468C4×D4—592no—
1469C4×D4—594no—
1470C4×D4—598no—
1471C4×D4—594no—
1472C4×D4—598no—
1473C4×D4—594no—
1474C4×D4—598no—
1475C4×D4—594no—
1476C4×D4C22×D5912yes—
1477C4×D4C22×D5912yes—
1478C4×D4C22×D5911yescharacteristic
1479C4×D4C22×D5911yescharacteristic
1480C4×D4C22×D5914yes—
1481C4×D4C22×D5918yes—
1482C4×D4C22×D5914yes—
1483C4×D4C22×D5912yes—
1484C4×D4C22×D5912yes—
1485#117—591no—
1486#117—592no—
1487#117—592no—
1488#117—594no—
1489#117—592no—
1490#117—592no—
1491#117—591no—
1492#117—591no—
1493#117—592no—
1494#117—594no—
1495#117—598no—
1496#117—598no—
1497#117—592no—
1498#117—592no—
1499#117—592no—
1500#117—592no—
1501#117—594no—
1502#117—594no—
1503#117—592no—
1504#117—592no—
1505#117—592no—
1506#117—598no—
1507#117—598no—
1508#117C22×D5911yescharacteristic
1509#117C22×D5912yes—
1510#117C22×D5914yes—
1511#117C22×D5914yes—
1512C2×C4⋊C4—592no—
1513C2×C4⋊C4—591no—
1514C2×C4⋊C4—592no—
1515C2×C4⋊C4—591no—
1516C2×C4⋊C4—594no—
1517C2×C4⋊C4—598no—
1518C2×C4⋊C4—594no—
1519C2×C4⋊C4C22×D5912yes—
1520C2×C4⋊C4C22×D5914yes—
1521C2×C4⋊C4C22×D5912yes—
1522C2×C22⋊C4—594no—
1523C2×C22⋊C4—598no—
1524C2×C22⋊C4—594no—
1525C2×C22⋊C4—592no—
1526C2×C22⋊C4—592no—
1527C2×C22⋊C4—592no—
1528C2×C22⋊C4—598no—
1529C2×C22⋊C4—598no—
1530C2×C22⋊C4—598no—
1531C2×C22⋊C4—598no—
1532C2×C42—591no—
1533C2×C42—591no—
1534C2×C42—594no—
1535C2×C42—592no—
1536C2×C42—591no—
1537C2×C42—592no—
1538C2×C42—592no—
1539C2×C42—591no—
1540C2×C42—592no—
1541C2×C42—592no—
1542C2×C42—592no—
1543C2×C42—591no—
1544C2×C42—592no—
1545C2×C42—591no—
1546C2×C42—592no—
1547C2×C42—598no—
1548C2×C42—591no—
1549C2×C42—592no—
1550C2×C42—591no—
1551C2×C42—591no—
1552C2×C42—592no—
1553C2×C42—591no—
1554C2×C42—591no—
1555C2×C42C22×D5911yescharacteristic
1556C2×C42C22×D5912yes—
1557C24—592no—
1558C24—591no—
1559C24—598no—
1560C24—594no—
1561#41—24no—
1562#41—28no—
1563#41—48no—
1564#41—598no—
1565#41—1188no—
1566#41—11816no—
1567#41—1188no—
1568#41—11816no—
1569#41—11816no—
1570#41—1188no—
1571#41—1184no—
1572#41—1184no—
1573#41—2368no—
1574#41—2368no—
1575#41—23616no—
1576#41—23616no—
1577#41—2368no—
1578#41—2364no—
1579#41—2368no—
1580#41—2368no—
1581C2×Q8—44no—
1582C2×Q8—591no—
1583C2×Q8—592no—
1584C2×Q8—592no—
1585C2×Q8—592no—
1586C2×Q8—598no—
1587C2×Q8—1184no—
1588C2×Q8—2368no—
1589C2×Q8C23×D5912yes—
1590C2×Q8C23×D5911yescharacteristic
1591C2×Q8C23×D5914yes—
1592C2×Q8C23×D5914yes—
1593C2×D4—592no—
1594C2×D4—592no—
1595C2×D4—598no—
1596C2×D4—592no—
1597C2×D4—594no—
1598C2×D4—598no—
1599C2×D4—594no—
1600C2×D4—598no—
1601C2×D4—598no—
1602C2×D4—598no—
1603C2×D4—591no—
1604C2×D4—592no—
1605C2×D4—598no—
1606C2×D4—594no—
1607C2×D4—594no—
1608C2×D4—594no—
1609C2×D4—598no—
1610C2×D4—594no—
1611C2×D4—594no—
1612C2×D4—594no—
1613C2×D4—598no—
1614C2×D4—11816no—
1615C2×D4—11816no—
1616C2×D4—1188no—
1617C2×D4—1184no—
1618C2×D4—11832no—
1619C2×D4—1188no—
1620C2×D4—2364no—
1621C2×D4—2364no—
1622C2×D4—2368no—
1623C2×D4—2368no—
1624C2×D4—2368no—
1625C2×D4—23616no—
1626C2×D4C23×D5912yes—
1627C2×D4C23×D5914yes—
1628C2×D4C23×D5912yes—
1629C2×D4C23×D5911yescharacteristic
1630C2×D4C23×D5912yes—
1631C2×D4C23×D5912yes—
1632C2×D4C23×D5918yes—
1633C22×C4—591no—
1634C22×C4—592no—
1635C22×C4—591no—
1636C22×C4—592no—
1637C22×C4—591no—
1638C22×C4—592no—
1639C22×C4—594no—
1640C22×C4—591no—
1641C22×C4—592no—
1642C22×C4—594no—
1643C22×C4—591no—
1644C22×C4—591no—
1645C22×C4—592no—
1646C22×C4—591no—
1647C22×C4—592no—
1648C22×C4—592no—
1649C22×C4—591no—
1650C22×C4—592no—
1651C22×C4—591no—
1652C22×C4—591no—
1653C22×C4—591no—
1654C22×C4—592no—
1655C22×C4—591no—
1656C22×C4—592no—
1657C22×C4—591no—
1658C22×C4—598no—
1659C22×C4—598no—
1660C22×C4—592no—
1661C22×C4—591no—
1662C22×C4—592no—
1663C22×C4—591no—
1664C22×C4—598no—
1665C22×C4—598no—
1666C22×C4—598no—
1667C22×C4—598no—
1668C22×C4—1188no—
1669C22×C4—1184no—
1670C22×C4—1188no—
1671C22×C4—1184no—
1672C22×C4—2362no—
1673C22×C4—2364no—
1674C22×C4—2368no—
1675C22×C4—23616no—
1676C22×C4C23×D5911yescharacteristic
1677C22×C4C23×D5912yes—
1678C22×C4C23×D5912yes—
1679C22×C4C23×D5912yes—
1680C22×C4C23×D5911yescharacteristic
1681C22×C4C23×D5914yes—
1682C22×C4C23×D5914yes—
1683C22×C4C23×D5918yes—
1684C22×C4C23×D5911yescharacteristic
1685C4⋊C4—592no—
1686C4⋊C4—598no—
1687C4⋊C4—592no—
1688C4⋊C4—592no—
1689C4⋊C4—594no—
1690C4⋊C4—592no—
1691C4⋊C4—592no—
1692C4⋊C4—591no—
1693C4⋊C4—592no—
1694C4⋊C4—591no—
1695C4⋊C4—592no—
1696C4⋊C4—592no—
1697C4⋊C4—592no—
1698C4⋊C4—592no—
1699C4⋊C4—598no—
1700C4⋊C4—592no—
1701C4⋊C4—594no—
1702C4⋊C4—594no—
1703C4⋊C4—592no—
1704C4⋊C4—594no—
1705C4⋊C4—594no—
1706C4⋊C4—598no—
1707C4⋊C4—598no—
1708C4⋊C4—594no—
1709C4⋊C4C23×D5911yescharacteristic
1710C4⋊C4C23×D5914yes—
1711C4⋊C4C23×D5918yes—
1712C4⋊C4C23×D5914yes—
1713C4⋊C4C23×D5911yescharacteristic
1714C4⋊C4C23×D5912yes—
1715C4⋊C4C23×D5912yes—
1716C4⋊C4C23×D5914yes—
1717C4⋊C4C23×D5914yes—
1718C4⋊C4C23×D5912yes—
1719C4⋊C4C23×D5912yes—
1720C4⋊C4C23×D5918yes—
1721C22⋊C4—594no—
1722C22⋊C4—594no—
1723C22⋊C4—594no—
1724C22⋊C4—594no—
1725C22⋊C4—592no—
1726C22⋊C4—592no—
1727C22⋊C4—592no—
1728C22⋊C4—594no—
1729C22⋊C4—592no—
1730C22⋊C4—592no—
1731C22⋊C4—598no—
1732C22⋊C4—598no—
1733C22⋊C4—598no—
1734C22⋊C4—598no—
1735C22⋊C4—598no—
1736C22⋊C4—598no—
1737C22⋊C4—592no—
1738C22⋊C4—592no—
1739C22⋊C4—592no—
1740C22⋊C4—592no—
1741C22⋊C4—598no—
1742C22⋊C4—598no—
1743C22⋊C4—594no—
1744C22⋊C4—598no—
1745C22⋊C4—598no—
1746C22⋊C4—598no—
1747C22⋊C4—594no—
1748C22⋊C4C23×D5912yes—
1749C22⋊C4C23×D5918yes—
1750C22⋊C4C23×D5912yes—
1751C22⋊C4C23×D5912yes—
1752C22⋊C4C23×D5918yes—
1753C22⋊C4C23×D5914yes—
1754C22⋊C4C23×D5914yes—
1755C22⋊C4C23×D5918yes—
1756C42—592no—
1757C42—591no—
1758C42—591no—
1759C42—591no—
1760C42—591no—
1761C42—591no—
1762C42—592no—
1763C42—591no—
1764C42—594no—
1765C42—592no—
1766C42—592no—
1767C42—591no—
1768C42—591no—
1769C42—592no—
1770C42—591no—
1771C42—592no—
1772C42—591no—
1773C42—591no—
1774C42—592no—
1775C42—592no—
1776C42—591no—
1777C42—592no—
1778C42—594no—
1779C42—598no—
1780C42—594no—
1781C42C23×D5911yescharacteristic
1782C42C23×D5912yes—
1783C42C23×D5911yescharacteristic
1784C42C23×D5912yes—
1785C42C23×D5912yes—
1786C42C23×D5911yescharacteristic
1787C42C23×D5911yescharacteristic
1788C42C23×D5918yes—
1789C23—592no—
1790C23—591no—
1791C23—598no—
1792C23—591no—
1793C23—11816no—
1794C23—1184no—
1795C23—1182no—
1796C23—1184no—
1797C23—1188no—
1798C23—1182no—
1799C23—2364no—
1800C23—2368no—
1801C23—2364no—
1802C23—2368no—
1803C23—2361no—
1804C23—2362no—
1805C23C24×D5914yes—
1806C23C24×D5912yes—
1807C23C24×D5911yescharacteristic
1808Q8—22no—
1809Q8—24no—
1810Q8—28no—
1811Q8—44no—
1812Q8—594no—
1813Q8—1184no—
1814Q8—1184no—
1815Q8—1184no—
1816Q8—2368no—
1817D4—28no—
1818D4—24no—
1819D4—24no—
1820D4—22no—
1821D4—24no—
1822D4—24no—
1823D4—48no—
1824D4—598no—
1825D4—594no—
1826D4—11816no—
1827D4—1184no—
1828D4—11816no—
1829D4—11816no—
1830D4—1184no—
1831D4—1184no—
1832D4—1188no—
1833D4—1188no—
1834D4—1188no—
1835D4—1188no—
1836D4—1188no—
1837D4—2364no—
1838D4—2364no—
1839D4—2368no—
1840D4—2368no—
1841D4—2368no—
1842D4—2368no—
1843D4—2368no—
1844D4—2364no—
1845C2×C4—24no—
1846C2×C4—28no—
1847C2×C4—22no—
1848C2×C4—24no—
1849C2×C4—22no—
1850C2×C4—24no—
1851C2×C4—44no—
1852C2×C4—48no—
1853C2×C4—591no—
1854C2×C4—592no—
1855C2×C4—598no—
1856C2×C4—594no—
1857C2×C4—591no—
1858C2×C4—591no—
1859C2×C4—591no—
1860C2×C4—591no—
1861C2×C4—594no—
1862C2×C4—592no—
1863C2×C4—591no—
1864C2×C4—592no—
1865C2×C4—594no—
1866C2×C4—1184no—
1867C2×C4—1184no—
1868C2×C4—1182no—
1869C2×C4—11816no—
1870C2×C4—11816no—
1871C2×C4—1184no—
1872C2×C4—1184no—
1873C2×C4—1182no—
1874C2×C4—1182no—
1875C2×C4—1184no—
1876C2×C4—1184no—
1877C2×C4—1188no—
1878C2×C4—1182no—
1879C2×C4—1182no—
1880C2×C4—1182no—
1881C2×C4—1182no—
1882C2×C4—1182no—
1883C2×C4—1184no—
1884C2×C4—1182no—
1885C2×C4—1182no—
1886C2×C4—1184no—
1887C2×C4—1182no—
1888C2×C4—2362no—
1889C2×C4—2362no—
1890C2×C4—2361no—
1891C2×C4—2361no—
1892C2×C4—2368no—
1893C2×C4—2368no—
1894C2×C4—2368no—
1895C2×C4—2368no—
1896C2×C4—2361no—
1897C2×C4—2362no—
1898C2×C4—2364no—
1899C2×C4#41×D5914yescomplemented
1900C2×C4C24×D5912yes—
1901C2×C4C24×D5912yes—
1902C2×C4C24×D5914yes—
1903C2×C4C24×D5912yes—
1904C2×C4C24×D5911yescharacteristic
1905C2×C4C24×D5911yescharacteristic
1906C2×C4C24×D5918yes—
1907C2×C4C24×D5911yescharacteristic
1908C2×C4C24×D5911yescharacteristic
1909C2×C4C24×D5911yescharacteristic
1910C2×C4C24×D5911yescharacteristic
1911C22—21no—
1912C22—21no—
1913C22—22no—
1914C22—24no—
1915C22—22no—
1916C22—24no—
1917C22—22no—
1918C22—24no—
1919C22—594no—
1920C22—592no—
1921C22—1181no—
1922C22—1182no—
1923C22—1181no—
1924C22—1182no—
1925C22—1181no—
1926C22—1188no—
1927C22—1181no—
1928C22—1188no—
1929C22—1181no—
1930C22—1188no—
1931C22—4728no—
1932C22—47216no—
1933C22—2364no—
1934C22—2368no—
1935C22C2×#41×D5912yes—
1936C22C25×D5911yescharacteristic
1937C4—24no—
1938C4—22no—
1939C4—22no—
1940C4—21no—
1941C4—28no—
1942C4—22no—
1943C4—21no—
1944C4—594no—
1945C4—592no—
1946C4—1181no—
1947C4—1181no—
1948C4—1181no—
1949C4—1182no—
1950C4—1184no—
1951C4—1181no—
1952C4—1181no—
1953C4—1182no—
1954C4—1184no—
1955C4C2×#41×D5912yes—
1956C4C2×#41×D5912yes—
1957C4H(5,𝔽2)×D5912yes—
1958C4#1683823912yes—
1959C2—22no—
1960C2—44no—
1961C2—42no—
1962C2—1184no—
1963C2—1182no—
1964C2—2368no—
1965C2—2361no—
1966C2C22×#41×D5911yescharacteristic
1967C2C2×H(5,𝔽2)×D5911yescharacteristic
1968C2C2×#1683823911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D59
commutator, socle, cosocleC22×C59C26
FittingC59×#3511C2
hypercenter#3511D59
hypocenterC59#62800
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C22 ◁ #3511

Complements

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

NH ≅ G/Ntype
1. #21438180C2semidirect
2. #21438131C2semidirect
3. #21438121C2semidirect
4. #21438101C2semidirect
5. #21438060C2semidirect
6. #21438050C2semidirect
7. #21438008C2semidirect
8. #21437972C2semidirect
9. #21437965C2semidirect
10. #21437912C2semidirect
11. #21437869C2semidirect
12. #21437832C2semidirect
13. #21437829C2semidirect
14. #21437760C2semidirect
15. #21437721C2semidirect
16. #21437707C2semidirect
17. #21437703C2semidirect
18. #21437688C2semidirect
19. #21437585C2semidirect
20. #21437583C2semidirect
21. #21437516C2semidirect
22. #21437513C2semidirect
23. #21437393C2semidirect
24. #21437391C2semidirect
25. C2×#16837953C2semidirect
26. #532×D59C2semidirect
27. #21437302C2semidirect
28. C4×#41×D59C2semidirect
29. C59×#3511C2semidirect
31. C22×#11745689C22semidirect
33. C2×#41×D59C22semidirect
34. #16838137C22semidirect
35. #16838137C22semidirect
36. #16838135C22semidirect
37. #16838134C22semidirect
38. #16838132C22semidirect
39. #16838127C22semidirect
40. #16838124C22semidirect
41. #16838115C22semidirect
42. #16838115C22semidirect
43. #16838114C22semidirect
44. #16838113C22semidirect
45. #16838108C22semidirect
46. #16838107C22semidirect
47. #16838105C22semidirect
48. #16838103C22semidirect
49. #16838100C22semidirect
50. #16838097C22semidirect
51. #16838096C22semidirect
52. #16838096C22semidirect
53. #16838081C22semidirect
54. #16838079C22semidirect
55. #16838077C22semidirect
56. #16838073C22semidirect
57. #16838073C22semidirect
58. #16838073C22semidirect
59. #16838073C22semidirect
60. #16838071C22semidirect
61. #16838070C22semidirect
62. #16838070C22semidirect
63. #16838067C22semidirect
64. Q8×C22⋊D59C22semidirect
65. #16838064C22semidirect
66. #16838062C22semidirect
67. #16838062C22semidirect
68. #16838054C22semidirect
69. #16838054C22semidirect
70. #16838053C22semidirect
71. #16838049C22semidirect
72. #16838048C22semidirect
73. #16838048C22semidirect
74. #16838048C22semidirect
75. #16838047C22semidirect
76. #16838045C22semidirect
77. #16838045C22semidirect
78. #16838044C22semidirect
79. #16838043C22semidirect
80. #16838041C22semidirect
81. #16838040C22semidirect
82. D4×D236C22semidirect
83. D4×D236C22semidirect
84. #16838036C22semidirect
85. #16838036C22semidirect
86. #16838036C22semidirect
87. #16838036C22semidirect
88. #16838033C22semidirect
89. #16838029C22semidirect
90. #16838025C22semidirect
91. #16838025C22semidirect
92. #16838024C22semidirect
93. #16838022C22semidirect
94. #16838007C22semidirect
95. #16838005C22semidirect
96. #16838005C22semidirect
97. #16838004C22semidirect
98. #16838003C22semidirect
99. #16837991C22semidirect
100. #16837989C22semidirect
101. #16837986C22semidirect
102. #16837982C22semidirect
103. #16837970C22semidirect
104. #16837968C22semidirect
105. #16837966C22semidirect
106. #16837966C22semidirect
107. #16837959C22semidirect
108. #16837957C22semidirect
109. #16837957C22semidirect
110. #16837957C22semidirect
111. #16837953C22semidirect
112. #16837953C22semidirect
113. #16837953C22semidirect
114. #16837953C22semidirect
115. #16837953C22semidirect
116. #16837953C22semidirect
117. #16837953C22semidirect
118. #16837953C22semidirect
119. #16837953C22semidirect
120. #16837952C22semidirect
121. #16837952C22semidirect
122. #16837951C22semidirect
123. #16837951C22semidirect
124. #16837950C22semidirect
125. #16837950C22semidirect
126. #16837949C22semidirect
127. #16837949C22semidirect
128. #16837948C22semidirect
129. #16837947C22semidirect
130. #16837947C22semidirect
131. #16837947C22semidirect
132. C4⋊Q8×D59C22semidirect
133. C2×#14273724C22semidirect
134. #127×D59C22semidirect
135. #16837939C22semidirect
136. #16837939C22semidirect
137. #16837938C22semidirect
138. #16837938C22semidirect
139. #16837938C22semidirect
140. #16837937C22semidirect
141. #16837937C22semidirect
142. #16837935C22semidirect
143. #16837934C22semidirect
144. #16837934C22semidirect
145. #16837933C22semidirect
146. #16837933C22semidirect
147. #16837931C22semidirect
148. #16837931C22semidirect
149. C2×#14273716C22semidirect
150. #124×D59C22semidirect
151. #16837915C22semidirect
152. #16837915C22semidirect
153. #16837915C22semidirect
154. #16837914C22semidirect
155. #16837912C22semidirect
156. #16837912C22semidirect
157. #16837912C22semidirect
158. #16837910C22semidirect
159. #16837909C22semidirect
160. C2×#14273702C22semidirect
161. C2×#14273702C22semidirect
162. #121×D59C22semidirect
163. #121×D59C22semidirect
164. #16837884C22semidirect
166. #16837883C22semidirect
167. #16837876C22semidirect
168. #16837876C22semidirect
169. #16837874C22semidirect
170. #16837874C22semidirect
171. #41×Dic59C22semidirect
172. #41×Dic59C22semidirect
173. C4×#11745689C22semidirect
174. C4×#11745689C22semidirect
175. C4×#11745689C22semidirect
176. C4×#11745689C22semidirect
178. C4×#11745685C22semidirect
180. #16837870C22semidirect
181. #16837870C22semidirect
182. #16837870C22semidirect
183. C4×#11745687C22semidirect
184. C4×#11745687C22semidirect
185. C4×#11745687C22semidirect
186. C4×#11745687C22semidirect
187. C4×#11745687C22semidirect
188. C4×#11745687C22semidirect
189. C4×Q8×D59C22semidirect
190. C4×Q8×D59C22semidirect
191. C2×#14273689C22semidirect
192. C2×#14273689C22semidirect
193. C2×#14273689C22semidirect
194. C4×D4×D59C22semidirect
195. C4×D4×D59C22semidirect
196. C4×D4×D59C22semidirect
197. C4×D4×D59C22semidirect
198. C4×D4×D59C22semidirect
199. C4×D4×D59C22semidirect
200. C4×D4×D59C22semidirect
201. #117×D59C22semidirect
202. #117×D59C22semidirect
203. C2×C42×D59C22semidirect
204. C2×C42×D59C22semidirect
205. C59×#556C22semidirect
206. C59×#555C22semidirect
207. C59×#554C22semidirect
208. C59×#553C22semidirect
209. C59×#548C22semidirect
210. C59×#547C22semidirect
211. C59×#542C22semidirect
212. C59×#537C22semidirect
213. C59×#533C22semidirect
214. C59×#532C22semidirect
215. C59×#532C22semidirect
216. C2×C4⋊Q8×C59C22semidirect
217. C59×#520C22semidirect
218. C4×#41×C59C22semidirect
643. #11745685#41semidirect
842. C2×C4×C59C2×#41semidirect
863. C22⋊D59C2×#41semidirect
893. D236C2×#41semidirect
919. C4×D59C2×#41semidirect
920. C4×D59H(5,𝔽2)semidirect
925. Dic118C2×#41semidirect
982. #3511D59semidirect
1025. #556C2×D59semidirect
1029. #555C2×D59semidirect
1033. #554C2×D59semidirect
1040. #553C2×D59semidirect
1056. #548C2×D59semidirect
1060. #547C2×D59semidirect
1084. #542C2×D59semidirect
1094. #537C2×D59semidirect
1103. #533C2×D59semidirect
1125. #532C2×D59semidirect
1126. #532C2×D59semidirect
1128. C2×C4⋊Q8C2×D59semidirect
1163. #520C2×D59semidirect
1186. C4×#41C2×D59semidirect
1203. C59#62800semidirect
1899. C2×C4#41×D59semidirect

Maximal subgroups

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

subgroupindex
#214381802
#214381312
#214381212
#214381012
#214380602
#214380502
#214380082
#214379722
#214379652
#214379122
#214378692
#214378322
#214378292
#214377602
#214377212
#214377072
#214377032
#214376882
#214375852
#214375832
#214375162
#214375132
#214373932
#214373912
C2×#168379532
#532×D592
#214373022
C4×#41×D592
C59×#35112
#6280059