Finite Group Databasebeta

← #29460097

Subgroups — #29460097

Order 15104.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437484C211yesmaximal, characteristic, complemented
2#21437425C211yesmaximal, characteristic, complemented
3#21435211C211yesmaximal, characteristic, complemented
4#21435209C211yesmaximal, characteristic, complemented
5#21435203C211yesmaximal, characteristic, complemented
6#21435201C211yesmaximal, characteristic, complemented
7#21435196C211yesmaximal, characteristic, complemented
8#21435194C211yesmaximal, characteristic, complemented
9#21435188C211yesmaximal, characteristic, complemented
10#21435186C211yesmaximal, characteristic, complemented
11#21435177C211yesmaximal, characteristic, complemented
12#21435175C211yesmaximal, characteristic, complemented
13#21435166C211yesmaximal, characteristic, complemented
14#21435164C211yesmaximal, characteristic, complemented
15#21435155C211yesmaximal, characteristic, complemented
16#21435153C211yesmaximal, characteristic, complemented
17#21435144C211yesmaximal, characteristic, complemented
18#21435142C211yesmaximal, characteristic, complemented
19#21434539C211yesmaximal, characteristic, complemented
20#21434520C211yesmaximal, characteristic, complemented
21#21434439C211yesmaximal, characteristic, complemented
22#21434416C211yesmaximal, characteristic, complemented
23#21433549C211yesmaximal, characteristic, complemented
24#21433549C211yesmaximal, characteristic, complemented
25#21433547C211yesmaximal, characteristic, complemented
26#21433547C211yesmaximal, characteristic, complemented
27#21433318C211yesmaximal, characteristic, complemented
28#21433314C211yesmaximal, characteristic, complemented
29#21433312C211yesmaximal, characteristic, complemented
30C2×#16837460C211yesmaximal, characteristic, complemented
31C59×#3002C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic
33C2×#14273749C2211yescharacteristic, complemented
34C2×#14273749C2211yescharacteristic, complemented
35C2×#14273747C2211yescharacteristic, complemented
36C2×#14273747C2211yescharacteristic, complemented
37C2×#14273747C2211yescharacteristic, complemented
38C2×#14273747C2211yescharacteristic, complemented
39#16838025C2211yescharacteristic, complemented
40#16838025C2211yescharacteristic, complemented
41#16838019C2211yescharacteristic, complemented
42#16838019C2211yescharacteristic, complemented
43#16838012C2211yescharacteristic, complemented
44#16838012C2211yescharacteristic, complemented
45#16838005C2211yescharacteristic, complemented
46#16838005C2211yescharacteristic, complemented
47#16837996—21no—
48#16837996—21no—
49#16837987—21no—
50#16837987—21no—
51#16837980—21no—
52#16837980—21no—
53#16837976C2211yescharacteristic
54#16837976C2211yescharacteristic
55#16837973C2211yescharacteristic
56#16837973C2211yescharacteristic
57#16837969C2211yescharacteristic
58#16837969C2211yescharacteristic
59#16837966C2211yescharacteristic
60#16837966C2211yescharacteristic
61#16837961—21no—
62#16837961—21no—
63#16837955C2211yescharacteristic, complemented
64#16837948C2211yescharacteristic
65#16837948C2211yescharacteristic
66#16837948C2211yescharacteristic
67#16837948C2211yescharacteristic
68#16837948C2211yescharacteristic, complemented
69#16837934—21no—
70#16837934—21no—
71#16837932—21no—
72#16837932—21no—
73#16837913—21no—
74#16837913—21no—
75#16837913C2211yescharacteristic
76#16837909—21no—
77#16837909—21no—
78#41×Dic59C2211yescharacteristic, complemented
79#16837870C2211yescharacteristic, complemented
80C2×#14273686C2211yescharacteristic
81#16837795C2211yescharacteristic, complemented
82#16837795C2211yescharacteristic, complemented
83#16837793C2211yescharacteristic, complemented
84#16837793C2211yescharacteristic, complemented
85#16837790C2211yescharacteristic, complemented
86#16837790C2211yescharacteristic, complemented
87#16837788C2211yescharacteristic, complemented
88#16837788C2211yescharacteristic, complemented
89#16837787C2211yescharacteristic, complemented
90#16837785C2211yescharacteristic, complemented
91#16837783C2211yescharacteristic, complemented
92#16837783C2211yescharacteristic, complemented
93#16837780C2211yescharacteristic, complemented
94#16837777C2211yescharacteristic, complemented
95#16837773C2211yescharacteristic, complemented
96#16837773C2211yescharacteristic, complemented
97#16837769C2211yescharacteristic, complemented
98#16837769C2211yescharacteristic, complemented
99#16837765C2211yescharacteristic, complemented
100#16837765C2211yescharacteristic, complemented
101#16837763C2211yescharacteristic, complemented
102#16837763C2211yescharacteristic, complemented
103#16837760C2211yescharacteristic, complemented
104#16837760C2211yescharacteristic, complemented
105#16837758C2211yescharacteristic, complemented
106#16837758C2211yescharacteristic, complemented
107#16837755C2211yescharacteristic, complemented
108#16837755C2211yescharacteristic, complemented
109#16837751C2211yescharacteristic, complemented
110#16837751C2211yescharacteristic, complemented
111#16837747C2211yescharacteristic, complemented
112#16837747C2211yescharacteristic, complemented
113#16837627C2211yescharacteristic, complemented
114#16837627C2211yescharacteristic, complemented
115#16837626C2211yescharacteristic, complemented
116#16837626C2211yescharacteristic, complemented
117#16837623C2211yescharacteristic, complemented
118#16837623C2211yescharacteristic, complemented
119#16837622C2211yescharacteristic, complemented
120#16837622C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837616C2211yescharacteristic, complemented
126#16837616C2211yescharacteristic, complemented
127#16837615C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837611C2211yescharacteristic, complemented
130#16837611C2211yescharacteristic, complemented
131#16837610C2211yescharacteristic, complemented
132#16837610C2211yescharacteristic, complemented
133#16837606C2211yescharacteristic, complemented
134#16837606C2211yescharacteristic, complemented
135#16837605C2211yescharacteristic, complemented
136#16837605C2211yescharacteristic, complemented
137#16837601C2211yescharacteristic, complemented
138#16837601C2211yescharacteristic, complemented
139#16837600C2211yescharacteristic, complemented
140#16837600C2211yescharacteristic, complemented
141#16837596C2211yescharacteristic, complemented
142#16837596C2211yescharacteristic, complemented
143#16837595C2211yescharacteristic, complemented
144#16837595C2211yescharacteristic, complemented
145#16837566C2211yescharacteristic
146#16837566C2211yescharacteristic
147#16837564C2211yescharacteristic
148#16837564C2211yescharacteristic
149#16837562C2211yescharacteristic
150#16837562C2211yescharacteristic
151#16837560C2211yescharacteristic, complemented
152#16837558C2211yescharacteristic, complemented
153#16837557C2211yescharacteristic, complemented
154#16837555C2211yescharacteristic, complemented
155#16837553C2211yescharacteristic, complemented
156#16837552C2211yescharacteristic, complemented
157#16837549C2211yescharacteristic
158#16837549C2211yescharacteristic
159#16837547C2211yescharacteristic
160#16837547C2211yescharacteristic
161#16837545C2211yescharacteristic
162#16837545C2211yescharacteristic
163#16837543C2211yescharacteristic, complemented
164#16837541C2211yescharacteristic, complemented
165#16837540C2211yescharacteristic, complemented
166#16837538C2211yescharacteristic, complemented
167#16837536C2211yescharacteristic, complemented
168#16837535C2211yescharacteristic, complemented
169#16837460C2211yescharacteristic, complemented
170#16837460C2211yescharacteristic, complemented
171#16837460C2211yescharacteristic, complemented
172#16837460C2211yescharacteristic, complemented
173#16837460C2211yescharacteristic, complemented
174#16837460C2211yescharacteristic, complemented
175#16837460C2211yescharacteristic, complemented
176#16837460C2211yescharacteristic, complemented
177C2×Dic59⋊C8C2211yescharacteristic, complemented
178C2×Dic59⋊C8C2211yescharacteristic, complemented
179#16837399C2211yescharacteristic, complemented
180#16837399C2211yescharacteristic, complemented
181#16837398C2211yescharacteristic, complemented
182#16837398C2211yescharacteristic, complemented
183#16837396C2211yescharacteristic, complemented
184#16837396C2211yescharacteristic, complemented
185C2×C22⋊(C59⋊C8)C2211yescharacteristic
186C2×#14273637C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic, complemented
188C22×#41×C59C2211yescharacteristic
189C2×#135×C59C2211yescharacteristic, complemented
190C2×#135×C59C2211yescharacteristic, complemented
191C59×#525C2211yescharacteristic
192C59×#452C2211yescharacteristic
193C59×#452C2211yescharacteristic
194C59×#451C2211yescharacteristic, complemented
195C59×#450C2211yescharacteristic, complemented
196C59×#449C2211yescharacteristic
197C59×#449C2211yescharacteristic
198C59×#448C2211yescharacteristic, complemented
199C59×#447C2211yescharacteristic, complemented
200C59×#416C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic, complemented
202C2×C22⋊C8×C59C2211yescharacteristic
203C2×#11745685—21no—
204C2×#11745685—21no—
205C2×#11745685—42no—
206C2×#11745685—42no—
207C2×#11745685C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C22×Dic118C2311yescharacteristic
213C22×D236C2311yescharacteristic
214C22×C22⋊D59—21no—
215C22×C4×D59—21no—
216#14273749—42no—
217#14273749—42no—
218#14273747—42no—
219#14273747—42no—
220#14273747—42no—
221#14273747—42no—
222C2×Dic236C2311yescharacteristic
223C2×Dic236C2311yescharacteristic
224C2×#11745672C2311yescharacteristic
225C2×#11745672C2311yescharacteristic
226C2×#11745672C2311yescharacteristic
227C2×#11745672C2311yescharacteristic
228C2×#11745660C2311yescharacteristic
229C2×#11745660C2311yescharacteristic
230C2×#11745660C2311yescharacteristic
231C2×#11745660C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745670C2311yescharacteristic
235C2×#11745670C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237C2×#11745671C2311yescharacteristic
238C2×#11745671C2311yescharacteristic
239C2×#11745671C2311yescharacteristic
240C2×D472C2311yescharacteristic
241C2×D472C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244C2×#11745669C2311yescharacteristic
245C2×#11745669C2311yescharacteristic
246C22×C59⋊C8C2311yescharacteristic
247C22×C59⋊C8C2311yescharacteristic
248#14273726C2311yescharacteristic
249#14273726C2311yescharacteristic
250#14273725C2311yescharacteristic
251#14273725C2311yescharacteristic
252#14273725C2311yescharacteristic
253#14273725C2311yescharacteristic
254#14273725C2311yescharacteristic
255#14273723C2311yescharacteristic
256#14273723C2311yescharacteristic
257#14273723C2311yescharacteristic
258#14273723C2311yescharacteristic
259#14273723C2311yescharacteristic
260#14273722—21no—
261#14273722—21no—
262#14273720—21no—
263#14273720—21no—
264#14273720—21no—
265#14273720—21no—
266#14273720—21no—
267#14273720—21no—
268#14273718—21no—
269#14273718—21no—
270#14273718C2311yescharacteristic
271#14273718C2311yescharacteristic
272#14273717—21no—
273#14273717—21no—
274#14273716C2311yescharacteristic
275#14273716C2311yescharacteristic
276#14273716C2311yescharacteristic
277#14273716C2311yescharacteristic
278#14273716C2311yescharacteristic
279#14273714—21no—
280#14273714—21no—
281#14273714C2311yescharacteristic
282#14273714C2311yescharacteristic
283#14273714C2311yescharacteristic
284#14273714C2311yescharacteristic
285#14273714C2311yescharacteristic
286#14273713—21no—
287#14273713—21no—
288#14273711—21no—
289#14273711—21no—
290#14273710—21no—
291#14273710—21no—
292#14273710—21no—
293#14273710—21no—
294#14273710—21no—
295#14273709—21no—
296#14273709—21no—
297#14273709—21no—
298#14273709—21no—
299#14273708—21no—
300#14273708—21no—
301#14273708—21no—
302#14273708—21no—
303#14273708—21no—
304#14273708—21no—
305#14273707—21no—
306#14273707—21no—
307#14273706—21no—
308#14273706—21no—
309#14273706—21no—
310#14273706—21no—
311#14273706C2311yescharacteristic
312#14273706C2311yescharacteristic
313#14273704—21no—
314#14273704—21no—
315#14273704—21no—
316#14273704—21no—
317#14273703—21no—
318#14273703—21no—
319#14273703—21no—
320#14273703—21no—
321#14273701—21no—
322#14273701—21no—
323#14273701—21no—
324#14273701—21no—
325#14273701C2311yescharacteristic
326#14273701C2311yescharacteristic
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699—21no—
332#14273699—21no—
333#14273699—21no—
334#14273699—21no—
335#14273699—21no—
336#14273699—21no—
337#14273699—21no—
338#14273699—21no—
339#14273698—21no—
340#14273698—21no—
341#14273698—21no—
342#14273698—21no—
343#14273698—21no—
344#14273698—21no—
345#14273696—21no—
346#14273696—21no—
347#14273696—21no—
348#14273696—21no—
349#14273696—21no—
350#14273695—21no—
351#14273695—21no—
352#14273695—21no—
353#14273695—21no—
354Q8×Dic59C2311yescharacteristic
355Q8×Dic59C2311yescharacteristic
356C4×Dic118—21no—
357C4×Dic118—21no—
358#14273692C2311yescharacteristic
359#14273692C2311yescharacteristic
360D4×Dic59—21no—
361D4×Dic59—21no—
362D4×Dic59C2311yescharacteristic
363D4×Dic59C2311yescharacteristic
364#14273689C2311yescharacteristic
365#14273689C2311yescharacteristic
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59—21no—
376C4×C22⋊D59—21no—
377C4×C22⋊D59—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380#14273686—21no—
381#14273686D411yescharacteristic
382#14273686D411yescharacteristic
383#14273686D411yescharacteristic
384#14273686D411yescharacteristic
385#14273686C2311yescharacteristic
386#14273686C2311yescharacteristic
387#14273686C2311yescharacteristic
388#14273686C2311yescharacteristic
389#14273686C2311yescharacteristic
390#14273684—21no—
391C2×C4⋊Dic59D411yescharacteristic
392C2×C4⋊Dic59D411yescharacteristic
393C2×C22⋊Dic59D411yescharacteristic
394C2×C22⋊Dic59D411yescharacteristic
395C2×C4×Dic59—21no—
396C2×C4×Dic59C2311yescharacteristic
397C2×C4×Dic59C2311yescharacteristic
398C42×D59—21no—
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C8×Dic59C2311yescharacteristic
442C8×Dic59C2311yescharacteristic
443C2×#41×C59—21no—
444C2×#41×C59—21no—
445C2×#41×C59—42no—
446C2×#41×C59—42no—
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C2×#41×C59C2311yescharacteristic
450C2×#41×C59C2311yescharacteristic
451C2×#41×C59C2311yescharacteristic
452C22×Q8×C59C2311yescharacteristic
453C22×D4×C59—21no—
454C22×D4×C59C2311yescharacteristic
455C23×C4×C59—21no—
456C23×C4×C59C2311yescharacteristic
457#135×C59—42no—
458#135×C59—42no—
459C2×Q16×C59C2311yescharacteristic
460C2×Q16×C59C2311yescharacteristic
461C2×SD16×C59C2311yescharacteristic
462C2×SD16×C59C2311yescharacteristic
463C2×SD16×C59C2311yescharacteristic
464C2×SD16×C59C2311yescharacteristic
465C2×D8×C59C2311yescharacteristic
466C2×D8×C59C2311yescharacteristic
467C22×C8×C59C2311yescharacteristic
468C22×C8×C59C2311yescharacteristic
469#123×C59—21no—
470C22⋊Q8×C59C2311yescharacteristic
471C22⋊Q8×C59C2311yescharacteristic
472#121×C59C2311yescharacteristic
473#121×C59C2311yescharacteristic
474#120×C59—21no—
475C4×D4×C59—21no—
476C4×D4×C59—21no—
477#117×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59C2×D411yescharacteristic
492C23×D59—21no—
493#41×C59—22no—
494#41×C59—22no—
495#41×C59—22no—
496#41×C59—22no—
497#41×C59—22no—
498#41×C59—22no—
499#41×C59—41no—
500#41×C59—41no—
501#41×C59—41no—
502#41×C59—41no—
503#41×C59—44no—
504#41×C59—44no—
505C2×Q8×C59—21no—
506C2×Q8×C59—41no—
507C2×Q8×C59—41no—
508C2×Q8×C59C2411yescharacteristic
509C2×Q8×C59C2411yescharacteristic
510C2×Q8×C59C2411yescharacteristic
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59—21no—
514C2×D4×C59—21no—
515C2×D4×C59—21no—
516C2×D4×C59—21no—
517C2×D4×C59—21no—
518C2×D4×C59—21no—
519C2×D4×C59—41no—
520C2×D4×C59—41no—
521C2×D4×C59—44no—
522C2×D4×C59C2411yescharacteristic
523C2×D4×C59C2411yescharacteristic
524C2×D4×C59C2411yescharacteristic
525C22×C4×C59—22no—
526C22×C4×C59—22no—
527C22×C4×C59—21no—
528C22×C4×C59—21no—
529C22×C4×C59—21no—
530C22×C4×C59—21no—
531C22×C4×C59—21no—
532C22×C4×C59—21no—
533C22×C4×C59—44no—
534C22×C4×C59C2×D411yescharacteristic
535C22×C4×C59C2×D411yescharacteristic
536C22×C4×C59C2×D411yescharacteristic
537C22×C4×C59C2411yescharacteristic
538C22×C4×C59C2411yescharacteristic
539C22×C4×C59C2411yescharacteristic
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—21no—
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C2×C22⋊D59—21no—
551C2×C22⋊D59—21no—
552C2×C22⋊D59—21no—
553C2×C22⋊D59—21no—
554C2×C22⋊D59—21no—
555C2×C22⋊D59—21no—
556C2×C22⋊D59—21no—
557C2×C22⋊D59—44no—
558C22×Dic59—21no—
559C22×Dic59—21no—
560C22×Dic59—21no—
561C22×Dic59C2×D411yescharacteristic
562C22×Dic59C2×D411yescharacteristic
563C22×Dic59C2×D411yescharacteristic
564C22×Dic59C2×D411yescharacteristic
565#11745685—22no—
566#11745685—22no—
567#11745685—22no—
568#11745685—22no—
569#11745685—22no—
570#11745685—22no—
571#11745685—41no—
572#11745685—41no—
573#11745685—41no—
574#11745685—41no—
575#11745685—44no—
576#11745685—44no—
577C2×D236—21no—
578C2×D236—41no—
579C2×D236—41no—
580C2×D236C2411yescharacteristic
581C2×D236C2411yescharacteristic
582C2×D236C2411yescharacteristic
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—44no—
591C2×Dic118—21no—
592C2×Dic118—21no—
593C2×Dic118—21no—
594C2×Dic118—41no—
595C2×Dic118—41no—
596C2×Dic118C2411yescharacteristic
597C2×Dic118C2411yescharacteristic
598C2×Dic118C2411yescharacteristic
599Q16×C59—41no—
600Q16×C59—41no—
601SD16×C59—41no—
602SD16×C59—41no—
603SD16×C59—41no—
604SD16×C59—41no—
605D8×C59—41no—
606D8×C59—41no—
607C2×C8×C59—22no—
608C2×C8×C59—22no—
609C2×C8×C59C2411yescharacteristic
610C2×C8×C59C2411yescharacteristic
611C2×C8×C59C2411yescharacteristic
612C2×C8×C59C2411yescharacteristic
613C4⋊C4×C59—21no—
614C4⋊C4×C59—21no—
615C4⋊C4×C59C2411yescharacteristic
616C4⋊C4×C59C2411yescharacteristic
617C22⋊C4×C59—21no—
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C42×C59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628C22⋊Dic59—21no—
629C22⋊Dic59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59C2×D411yescharacteristic
639C22⋊Dic59C2×D411yescharacteristic
640C22⋊Dic59C2×D411yescharacteristic
641C22⋊Dic59C2×D411yescharacteristic
642C22⋊Dic59C2×D411yescharacteristic
643C22⋊Dic59C2×D411yescharacteristic
644C22⋊Dic59C2×D411yescharacteristic
645C22⋊Dic59C2×D411yescharacteristic
646#11745672—41no—
647#11745672—41no—
648#11745672—41no—
649#11745672—41no—
650#11745671—41no—
651#11745671—41no—
652#11745671—41no—
653#11745671—41no—
654#11745670—41no—
655#11745670—41no—
656#11745670—41no—
657#11745670—41no—
658#11745669—41no—
659#11745669—41no—
660#11745669—41no—
661#11745669—41no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59—21no—
678C4⋊Dic59—21no—
679C4⋊Dic59—21no—
680C4⋊Dic59C2×D411yescharacteristic
681C4⋊Dic59C2×D411yescharacteristic
682C4⋊Dic59C2×D411yescharacteristic
683C4⋊Dic59C2×D411yescharacteristic
684C4⋊Dic59C2×D411yescharacteristic
685C4⋊Dic59C2×D411yescharacteristic
686C4⋊Dic59C2×D411yescharacteristic
687C4⋊Dic59C2×D411yescharacteristic
688C4⋊Dic59C2411yescharacteristic
689C4⋊Dic59C2411yescharacteristic
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694Dic59⋊C4—21no—
695Dic59⋊C4—21no—
696Dic59⋊C4—21no—
697Dic59⋊C4—21no—
698Dic59⋊C4—21no—
699Dic59⋊C4—21no—
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708C4×Dic59—21no—
709C4×Dic59—21no—
710C4×Dic59—21no—
711C4×Dic59—21no—
712C4×Dic59—21no—
713C4×Dic59C2×D411yescharacteristic
714C4×Dic59C2×D411yescharacteristic
715C4×Dic59C2×D411yescharacteristic
716C4×Dic59C2×D411yescharacteristic
717C4×Dic59C2411yescharacteristic
718C4×Dic59C2411yescharacteristic
719C4×Dic59C2411yescharacteristic
720C4×Dic59C2411yescharacteristic
721C2×C59⋊C8—22no—
722C2×C59⋊C8—22no—
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727Dic236—41no—
728Dic236—41no—
729D472—41no—
730D472—41no—
731#11745660—41no—
732#11745660—41no—
733#11745660—41no—
734#11745660—41no—
735C23×C59—22no—
736C23×C59—21no—
737C23×C59—21no—
738C23×C59—21no—
739C23×C59—41no—
740C23×C59—41no—
741C23×C59—42no—
742C23×C59—81no—
743C23×C59—81no—
744C23×C59C22×D411yescharacteristic
745C23×C59C22×D411yescharacteristic
746C23×C59C22×D411yescharacteristic
747C22×D59—21no—
748C22×D59—21no—
749C22×D59—21no—
750C22×D59—42no—
751C22×D59—81no—
752C22×D59—81no—
753Q8×C59—21no—
754Q8×C59—21no—
755Q8×C59—21no—
756Q8×C59—21no—
757Q8×C59—21no—
758Q8×C59—21no—
759Q8×C59—42no—
760D4×C59—21no—
761D4×C59—21no—
762D4×C59—21no—
763D4×C59—21no—
764D4×C59—21no—
765D4×C59—21no—
766D4×C59—42no—
767D4×C59—42no—
768D4×C59—42no—
769D4×C59—42no—
770D4×C59—42no—
771D4×C59—42no—
772D4×C59—81no—
773D4×C59—81no—
774C2×C4×C59—22no—
775C2×C4×C59—22no—
776C2×C4×C59—22no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—42no—
787C2×C4×C59—42no—
788C2×C4×C59—42no—
789C2×C4×C59—42no—
790C2×C4×C59—42no—
791C2×C4×C59—42no—
792C2×C4×C59C22×D411yescharacteristic
793C2×C4×C59C22×D411yescharacteristic
794C2×C4×C59C22×D411yescharacteristic
795C2×C4×C59H(5,𝔽2)12yes—
796C2×C4×C59H(5,𝔽2)12yes—
797C2×C4×C59C2511yescharacteristic
798C22⋊D59—42no—
799C22⋊D59—42no—
800C22⋊D59—42no—
801C22⋊D59—42no—
802C22⋊D59—42no—
803C22⋊D59—81no—
804C22⋊D59—81no—
805C22⋊D59—81no—
806C22⋊D59—81no—
807C22⋊D59—81no—
808C22⋊D59—81no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C22⋊D59—81no—
814C22⋊D59—81no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—41no—
821C2×Dic59—41no—
822C2×Dic59—41no—
823C2×Dic59—41no—
824C2×Dic59—42no—
825C2×Dic59—81no—
826C2×Dic59—81no—
827C2×Dic59C22×D411yescharacteristic
828C2×Dic59C22×D411yescharacteristic
829C2×Dic59C22×D411yescharacteristic
830C2×Dic59C22×D411yescharacteristic
831C2×Dic59C22×D411yescharacteristic
832C2×Dic59C22×D411yescharacteristic
833C2×Dic59C22×D411yescharacteristic
834C2×Dic59C22×D411yescharacteristic
835D236—21no—
836D236—21no—
837D236—21no—
838D236—21no—
839D236—21no—
840D236—21no—
841D236—42no—
842C4×D59—42no—
843C4×D59—42no—
844C4×D59—42no—
845C4×D59—42no—
846C4×D59—42no—
847C4×D59—81no—
848C4×D59—81no—
849Dic118—21no—
850Dic118—21no—
851Dic118—21no—
852Dic118—21no—
853Dic118—21no—
854Dic118—21no—
855Dic118—42no—
856Dic118—81no—
857Dic118—81no—
858C8×C59—21no—
859C8×C59—21no—
860C8×C59—21no—
861C8×C59—21no—
862C59⋊C8—21no—
863C59⋊C8—21no—
864C59⋊C8—21no—
865C59⋊C8—21no—
866#60797—591nomaximal, Sylow
867C22×C59—21no—
868C22×C59—21no—
869C22×C59—21no—
870C22×C59—21no—
871C22×C59—21no—
872C22×C59—21no—
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—41no—
876C22×C59—41no—
877C22×C59—41no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59—41no—
883C22×C59—41no—
884C22×C59—82no—
885C22×C59—84no—
886C22×C59#53512yes—
887C22×C59C23×D411yescharacteristic
888C2×D59—41no—
889C2×D59—41no—
890C2×D59—41no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—41no—
897C2×D59—84no—
898C4×C59—21no—
899C4×C59—21no—
900C4×C59—41no—
901C4×C59—41no—
902C4×C59—41no—
903C4×C59—41no—
904C4×C59—41no—
905C4×C59#53512yes—
906C4×C59C2×H(5,𝔽2)11yescharacteristic
907C4×C59C2×H(5,𝔽2)11yescharacteristic
908Dic59—21no—
909Dic59—21no—
910Dic59—21no—
911Dic59—21no—
912Dic59—21no—
913Dic59—21no—
914Dic59—21no—
915Dic59—21no—
916Dic59—41no—
917Dic59—41no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921#3455—591no—
922#3449—591no—
923#3225—591no—
924#3225—591no—
925#3225—591no—
926#3225—591no—
927#3224—591no—
928#3224—591no—
929#3224—591no—
930#3224—591no—
931#3223—591no—
932#3223—591no—
933#3222—591no—
934#3222—591no—
935#3221—591no—
936#3221—591no—
937#3220—591no—
938#3220—591no—
939#3150—591no—
940#3147—591no—
941#3135—591no—
942#3131—591no—
943#3035—591no—
944#3035—591no—
945#3035—591no—
946#3035—591no—
947#3002—591no—
948#3002—591no—
949#3002—591no—
950#3002D5911yescharacteristic, complemented
951C2×#433—591no—
952C2×C59—22no—
953C2×C59—41no—
954C2×C59—41no—
955C2×C59—81no—
956C2×C59—81no—
957C2×C59—81no—
958C2×C59C2×#53511yescharacteristic
959C2×C59#358411yescharacteristic
960C2×C59#358411yescharacteristic
961D59—81no—
962D59—81no—
963D59—81no—
964C22×#41—591no—
965C22×#41C2×D5911yescharacteristic
966C2×#135—591no—
967C2×#135—591no—
968C2×#135—591no—
969C2×#135—591no—
970C2×#135—591no—
971C2×#135—591no—
972C2×#135C2×D5911yescharacteristic, complemented
973C2×#135C2×D5911yescharacteristic, complemented
974#542—591no—
975#542—591no—
976#542—591no—
977#542—591no—
978#541—591no—
979#541—591no—
980#540—591no—
981#540—591no—
982#539—1181no—
983#539—1181no—
984#538—1181no—
985#538—1181no—
986#537—1181no—
987#537—1181no—
988#536—591no—
989#536—591no—
990#536—591no—
991#536—591no—
992#535—591no—
993#535—591no—
994#535—591no—
995#535—591no—
996#534—1181no—
997#534—1181no—
998#533—591no—
999#532—591no—
1000#532—591no—
1001#532—591no—
1002#532—591no—
1003#532—591no—
1004#529—1181no—
1005#529—1181no—
1006#529—1181no—
1007#529—1181no—
1008#525—591no—
1009#525—1181no—
1010#525—1181no—
1011#525—1181no—
1012#525—1181no—
1013#525C2×D5911yescharacteristic
1014C4×#41—591no—
1015C4×#41—591no—
1016C2×#117—591no—
1017#497—591no—
1018#497—591no—
1019#497—591no—
1020#497—591no—
1021#496—591no—
1022#496—591no—
1023#496—591no—
1024#496—591no—
1025#495—591no—
1026#495—591no—
1027#495—591no—
1028#495—591no—
1029#494—591no—
1030#493—591no—
1031#492—591no—
1032#492—591no—
1033#491—591no—
1034#491—591no—
1035#490—591no—
1036#490—591no—
1037#489—591no—
1038#489—591no—
1039#489—591no—
1040#489—591no—
1041#488—591no—
1042#488—591no—
1043#488—591no—
1044#488—591no—
1045#487—591no—
1046#487—591no—
1047#486—591no—
1048#486—591no—
1049#464—591no—
1050#464—591no—
1051#464—591no—
1052#464—591no—
1053#464—591no—
1054#464—591no—
1055#464—591no—
1056#464—591no—
1057#463—591no—
1058#463—591no—
1059#463—591no—
1060#463—591no—
1061#463—591no—
1062#463—591no—
1063#463—591no—
1064#463—591no—
1065#462—591no—
1066#462—591no—
1067#462—591no—
1068#462—591no—
1069#461—591no—
1070#461—591no—
1071#461—591no—
1072#461—591no—
1073#460—591no—
1074#460—591no—
1075#460—591no—
1076#460—591no—
1077#459—591no—
1078#459—591no—
1079#459—591no—
1080#459—591no—
1081#452—591no—
1082#452—591no—
1083#452—591no—
1084#452—591no—
1085#452—591no—
1086#452—591no—
1087#452C2×D5911yescharacteristic
1088#452C2×D5911yescharacteristic
1089#451—591no—
1090#451—591no—
1091#451—591no—
1092#451C2×D5911yescharacteristic, complemented
1093#450—591no—
1094#450—591no—
1095#450—591no—
1096#450C2×D5911yescharacteristic, complemented
1097#449—591no—
1098#449—591no—
1099#449—591no—
1100#449—591no—
1101#449—591no—
1102#449—591no—
1103#449C2×D5911yescharacteristic
1104#449C2×D5911yescharacteristic
1105#448—591no—
1106#448—591no—
1107#448—591no—
1108#448C2×D5911yescharacteristic, complemented
1109#447—591no—
1110#447—591no—
1111#447—591no—
1112#447C2×D5911yescharacteristic, complemented
1113#433—591no—
1114#433—591no—
1115#433—591no—
1116#433—591no—
1117#433—591no—
1118#433—591no—
1119#433—591no—
1120#433—591no—
1121C2×C4⋊C8—591no—
1122C2×C4⋊C8—591no—
1123#416—591no—
1124#416—591no—
1125#416—591no—
1126#416—591no—
1127#416—591no—
1128#416—591no—
1129#416C2×D5911yescharacteristic, complemented
1130#416C2×D5911yescharacteristic, complemented
1131C2×C22⋊C8—591no—
1132C2×C22⋊C8C2×D5911yescharacteristic
1133C2×#97—591no—
1134C2×C4×C8—591no—
1135C59#6079711yescharacteristic, complemented, Sylow
1136C2×#41—21no—
1137C2×#41—21no—
1138C2×#41—42no—
1139C2×#41—42no—
1140C2×#41—591no—
1141C2×#41—591no—
1142C2×#41—591no—
1143C2×#41—591no—
1144C2×#41—591no—
1145C2×#41—1181no—
1146C2×#41—1181no—
1147C2×#41—2362no—
1148C2×#41—2362no—
1149C2×#41C22×D5911yescharacteristic
1150C2×#41C22×D5911yescharacteristic
1151C2×#41C22×D5911yescharacteristic
1152C2×#41C22×D5911yescharacteristic
1153C2×#41C22×D5911yescharacteristic
1154C22×Q8—591no—
1155C22×Q8C22×D5911yescharacteristic
1156C22×D4—21no—
1157C22×D4—591no—
1158C22×D4—1181no—
1159C22×D4C22×D5911yescharacteristic
1160C23×C4—21no—
1161C23×C4—1181no—
1162C23×C4C22×D5911yescharacteristic
1163#135—42no—
1164#135—42no—
1165#135—2362no—
1166#135—2362no—
1167#135—2362no—
1168#135—2362no—
1169#135—2362no—
1170#135—2362no—
1171C2×Q16—591no—
1172C2×Q16—591no—
1173C2×Q16—591no—
1174C2×Q16—591no—
1175C2×Q16—591no—
1176C2×Q16—591no—
1177C2×Q16C22×D5911yescharacteristic
1178C2×Q16C22×D5911yescharacteristic
1179C2×SD16—591no—
1180C2×SD16—591no—
1181C2×SD16—591no—
1182C2×SD16—591no—
1183C2×SD16—591no—
1184C2×SD16—591no—
1185C2×SD16—591no—
1186C2×SD16—591no—
1187C2×SD16—591no—
1188C2×SD16—591no—
1189C2×SD16—591no—
1190C2×SD16—591no—
1191C2×SD16C22×D5911yescharacteristic
1192C2×SD16C22×D5911yescharacteristic
1193C2×SD16C22×D5911yescharacteristic
1194C2×SD16C22×D5911yescharacteristic
1195C2×D8—591no—
1196C2×D8—591no—
1197C2×D8—591no—
1198C2×D8—591no—
1199C2×D8—591no—
1200C2×D8—591no—
1201C2×D8C22×D5911yescharacteristic
1202C2×D8C22×D5911yescharacteristic
1203C22×C8—591no—
1204C22×C8—591no—
1205C22×C8C22×D5911yescharacteristic
1206C22×C8C22×D5911yescharacteristic
1207C4⋊Q8—591no—
1208C4⋊Q8—591no—
1209C4⋊Q8—591no—
1210C4⋊Q8—591no—
1211C4⋊Q8—591no—
1212C4⋊Q8—591no—
1213C4⋊Q8—591no—
1214#127—591no—
1215#127—591no—
1216#127—591no—
1217#127—591no—
1218#127—591no—
1219#126—1181no—
1220#126—1181no—
1221#126—1181no—
1222#126—1181no—
1223#126—1181no—
1224#126—1181no—
1225#126—1181no—
1226#126—1181no—
1227#125—591no—
1228#125—591no—
1229#125—1181no—
1230#125—1181no—
1231#125—1181no—
1232#125—1181no—
1233#124—591no—
1234#124—591no—
1235#124—591no—
1236#124—591no—
1237#124—591no—
1238#124—591no—
1239#124—591no—
1240#124—591no—
1241#124—591no—
1242#124—591no—
1243#124—1181no—
1244#124—1181no—
1245#124—1181no—
1246#124—1181no—
1247#123—21no—
1248#123—1181no—
1249#123—1181no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265C22⋊Q8—591no—
1266C22⋊Q8—591no—
1267C22⋊Q8—1181no—
1268C22⋊Q8—1181no—
1269C22⋊Q8—1181no—
1270C22⋊Q8—1181no—
1271C22⋊Q8—1181no—
1272C22⋊Q8—1181no—
1273C22⋊Q8—1181no—
1274C22⋊Q8—1181no—
1275C22⋊Q8—1181no—
1276C22⋊Q8—1181no—
1277C22⋊Q8—1181no—
1278C22⋊Q8—1181no—
1279C22⋊Q8—1181no—
1280C22⋊Q8—1181no—
1281C22⋊Q8C22×D5911yescharacteristic
1282C22⋊Q8C22×D5911yescharacteristic
1283#121—591no—
1284#121—591no—
1285#121—1181no—
1286#121—1181no—
1287#121—1181no—
1288#121—1181no—
1289#121—1181no—
1290#121—1181no—
1291#121—1181no—
1292#121—1181no—
1293#121—1181no—
1294#121—1181no—
1295#121—1181no—
1296#121—1181no—
1297#121—1181no—
1298#121—1181no—
1299#121—1181no—
1300#121—1181no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121—1181no—
1307#121C22×D5911yescharacteristic
1308#121C22×D5911yescharacteristic
1309#120—21no—
1310#120—1181no—
1311#120—1181no—
1312#120—1181no—
1313#120—1181no—
1314#120—1181no—
1315#120—1181no—
1316#120—1181no—
1317#120—1181no—
1318#120—1181no—
1319C4×Q8—591no—
1320C4×Q8—591no—
1321C4×Q8—591no—
1322C4×Q8—591no—
1323C4×Q8—1181no—
1324C4×Q8—1181no—
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—591no—
1328C4×D4—591no—
1329C4×D4—591no—
1330C4×D4—591no—
1331C4×D4—1181no—
1332C4×D4—1181no—
1333C4×D4—1181no—
1334C4×D4—1181no—
1335C4×D4—1181no—
1336C4×D4—1181no—
1337C4×D4—1181no—
1338C4×D4—1181no—
1339C4×D4—1181no—
1340C4×D4—1181no—
1341C4×D4—1181no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347#117—591no—
1348#117—591no—
1349#117—591no—
1350#117—591no—
1351#117—591no—
1352#117—591no—
1353#117—591no—
1354#117—591no—
1355#117—591no—
1356#117—1181no—
1357#117—1181no—
1358#117C22×D5911yescharacteristic
1359C2×C4⋊C4—591no—
1360C2×C4⋊C4—591no—
1361C2×C22⋊C4—591no—
1362C2×C22⋊C4—591no—
1363C2×C42—591no—
1364C2×C42—591no—
1365C2×C42—1181no—
1366C2×C42—1181no—
1367C4⋊C8—591no—
1368C4⋊C8—591no—
1369C4⋊C8—591no—
1370C4⋊C8—591no—
1371C4⋊C8—591no—
1372C4⋊C8—591no—
1373C4⋊C8—591no—
1374C4⋊C8—591no—
1375#103—591no—
1376#103—591no—
1377#103—591no—
1378#103—591no—
1379#103—591no—
1380#103—591no—
1381#103—591no—
1382#103—591no—
1383#103—591no—
1384#103—591no—
1385#103—591no—
1386#103—591no—
1387#103C22×D5911yescharacteristic
1388#103C22×D5911yescharacteristic
1389#103C22×D5911yescharacteristic
1390#103C22×D5911yescharacteristic
1391#102—591no—
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102C22×D5911yescharacteristic
1404#102C22×D5911yescharacteristic
1405#102C22×D5911yescharacteristic
1406#102C22×D5911yescharacteristic
1407C22⋊C8—591no—
1408C22⋊C8—591no—
1409C22⋊C8—591no—
1410C22⋊C8—591no—
1411C22⋊C8C22×D5911yescharacteristic
1412C22⋊C8C22×D5911yescharacteristic
1413C22⋊C8C22×D5911yescharacteristic
1414C22⋊C8C22×D5911yescharacteristic
1415#97—591no—
1416#97—591no—
1417#97—591no—
1418#97—591no—
1419C4×C8—591no—
1420C4×C8—591no—
1421C4×C8—591no—
1422C4×C8—591no—
1423C24—21no—
1424C24—1181no—
1425C24D4×D5911yescharacteristic
1426#41—22no—
1427#41—22no—
1428#41—22no—
1429#41—22no—
1430#41—22no—
1431#41—22no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—44no—
1437#41—44no—
1438#41—1182no—
1439#41—1182no—
1440#41—1182no—
1441#41—1182no—
1442#41—1182no—
1443#41—1182no—
1444#41—2361no—
1445#41—2361no—
1446#41—2361no—
1447#41—2361no—
1448#41—2364no—
1449#41—2364no—
1450C2×Q8—21no—
1451C2×Q8—41no—
1452C2×Q8—41no—
1453C2×Q8—591no—
1454C2×Q8—591no—
1455C2×Q8—591no—
1456C2×Q8—1181no—
1457C2×Q8—1181no—
1458C2×Q8—1181no—
1459C2×Q8—2361no—
1460C2×Q8—2361no—
1461C2×Q8C23×D5911yescharacteristic
1462C2×Q8C23×D5911yescharacteristic
1463C2×Q8C23×D5911yescharacteristic
1464C2×D4—21no—
1465C2×D4—21no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—41no—
1473C2×D4—41no—
1474C2×D4—44no—
1475C2×D4—591no—
1476C2×D4—591no—
1477C2×D4—591no—
1478C2×D4—1181no—
1479C2×D4—1181no—
1480C2×D4—1181no—
1481C2×D4—1181no—
1482C2×D4—1181no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1181no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—2361no—
1497C2×D4—2361no—
1498C2×D4—2364no—
1499C2×D4C23×D5911yescharacteristic
1500C2×D4C23×D5911yescharacteristic
1501C2×D4C23×D5911yescharacteristic
1502C22×C4—22no—
1503C22×C4—22no—
1504C22×C4—21no—
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—44no—
1511C22×C4—591no—
1512C22×C4—591no—
1513C22×C4—591no—
1514C22×C4—591no—
1515C22×C4—1181no—
1516C22×C4—1181no—
1517C22×C4—1181no—
1518C22×C4—1181no—
1519C22×C4—1181no—
1520C22×C4—1181no—
1521C22×C4—1181no—
1522C22×C4—1181no—
1523C22×C4—1181no—
1524C22×C4—1181no—
1525C22×C4—2364no—
1526C22×C4D4×D5911yescharacteristic
1527C22×C4D4×D5911yescharacteristic
1528C22×C4D4×D5911yescharacteristic
1529C22×C4C23×D5911yescharacteristic
1530C22×C4C23×D5911yescharacteristic
1531C22×C4C23×D5911yescharacteristic
1532Q16—41no—
1533Q16—41no—
1534Q16—2361no—
1535Q16—2361no—
1536Q16—2361no—
1537Q16—2361no—
1538Q16—2361no—
1539Q16—2361no—
1540SD16—41no—
1541SD16—41no—
1542SD16—41no—
1543SD16—41no—
1544SD16—2361no—
1545SD16—2361no—
1546SD16—2361no—
1547SD16—2361no—
1548SD16—2361no—
1549SD16—2361no—
1550SD16—2361no—
1551SD16—2361no—
1552SD16—2361no—
1553SD16—2361no—
1554SD16—2361no—
1555SD16—2361no—
1556D8—41no—
1557D8—41no—
1558D8—2361no—
1559D8—2361no—
1560D8—2361no—
1561D8—2361no—
1562D8—2361no—
1563D8—2361no—
1564C2×C8—22no—
1565C2×C8—22no—
1566C2×C8—591no—
1567C2×C8—591no—
1568C2×C8—591no—
1569C2×C8—591no—
1570C2×C8—1182no—
1571C2×C8—1182no—
1572C2×C8C23×D5911yescharacteristic
1573C2×C8C23×D5911yescharacteristic
1574C2×C8C23×D5911yescharacteristic
1575C2×C8C23×D5911yescharacteristic
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—591no—
1579C4⋊C4—591no—
1580C4⋊C4—591no—
1581C4⋊C4—591no—
1582C4⋊C4—591no—
1583C4⋊C4—591no—
1584C4⋊C4—591no—
1585C4⋊C4—591no—
1586C4⋊C4—591no—
1587C4⋊C4—591no—
1588C4⋊C4—1181no—
1589C4⋊C4—1181no—
1590C4⋊C4—1181no—
1591C4⋊C4—1181no—
1592C4⋊C4—1181no—
1593C4⋊C4—1181no—
1594C4⋊C4—1181no—
1595C4⋊C4—1181no—
1596C4⋊C4—1181no—
1597C4⋊C4—1181no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4C23×D5911yescharacteristic
1611C4⋊C4C23×D5911yescharacteristic
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—591no—
1618C22⋊C4—591no—
1619C22⋊C4—591no—
1620C22⋊C4—591no—
1621C22⋊C4—591no—
1622C22⋊C4—591no—
1623C22⋊C4—591no—
1624C22⋊C4—591no—
1625C22⋊C4—1181no—
1626C22⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4—1181no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C42—21no—
1655C42—591no—
1656C42—591no—
1657C42—591no—
1658C42—591no—
1659C42—591no—
1660C42—591no—
1661C42—591no—
1662C42—591no—
1663C42—1181no—
1664C42—1181no—
1665C42—1181no—
1666C42—1181no—
1667C42—1181no—
1668C23—22no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—41no—
1673C23—41no—
1674C23—42no—
1675C23—81no—
1676C23—81no—
1677C23—1181no—
1678C23—1181no—
1679C23—1181no—
1680C23—4721no—
1681C23—4721no—
1682C23—2362no—
1683C23C2×D4×D5911yescharacteristic
1684C23C2×D4×D5911yescharacteristic
1685C23C2×D4×D5911yescharacteristic
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—42no—
1693Q8—1181no—
1694Q8—1181no—
1695Q8—1181no—
1696Q8—1181no—
1697Q8—1181no—
1698Q8—1181no—
1699Q8—4721no—
1700Q8—4721no—
1701Q8—2362no—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—21no—
1708D4—42no—
1709D4—42no—
1710D4—42no—
1711D4—42no—
1712D4—42no—
1713D4—42no—
1714D4—81no—
1715D4—81no—
1716D4—1181no—
1717D4—1181no—
1718D4—1181no—
1719D4—1181no—
1720D4—1181no—
1721D4—1181no—
1722D4—4721no—
1723D4—4721no—
1724D4—4721no—
1725D4—4721no—
1726D4—4721no—
1727D4—4721no—
1728D4—4721no—
1729D4—4721no—
1730D4—4721no—
1731D4—4721no—
1732D4—4721no—
1733D4—4721no—
1734D4—2362no—
1735D4—2362no—
1736D4—2362no—
1737D4—2362no—
1738D4—2362no—
1739D4—2362no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—42no—
1753C2×C4—42no—
1754C2×C4—42no—
1755C2×C4—42no—
1756C2×C4—42no—
1757C2×C4—42no—
1758C2×C4—591no—
1759C2×C4—591no—
1760C2×C4—591no—
1761C2×C4—591no—
1762C2×C4—591no—
1763C2×C4—591no—
1764C2×C4—591no—
1765C2×C4—591no—
1766C2×C4—1181no—
1767C2×C4—1181no—
1768C2×C4—1181no—
1769C2×C4—1181no—
1770C2×C4—1181no—
1771C2×C4—4721no—
1772C2×C4—4721no—
1773C2×C4—4721no—
1774C2×C4—4721no—
1775C2×C4—2362no—
1776C2×C4—2362no—
1777C2×C4—2361no—
1778C2×C4—2361no—
1779C2×C4—2361no—
1780C2×C4—2361no—
1781C2×C4—2362no—
1782C2×C4—2362no—
1783C2×C4—2362no—
1784C2×C4—2362no—
1785C2×C4C2×D4×D5911yescharacteristic
1786C2×C4C2×D4×D5911yescharacteristic
1787C2×C4C2×D4×D5911yescharacteristic
1788C2×C4#1427377212yes—
1789C2×C4#1427377212yes—
1790C2×C4C24×D5911yescharacteristic
1791C8—21no—
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—1181no—
1796C8—1181no—
1797C8—1181no—
1798C8—1181no—
1799C22—21no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—82no—
1817C22—84no—
1818C22—4724no—
1819C22—2361no—
1820C22—2361no—
1821C22—2361no—
1822C22—2361no—
1823C22—2361no—
1824C22—2361no—
1825C22—2361no—
1826C22—2361no—
1827C22—2361no—
1828C22#1683796712yes—
1829C22C22×D4×D5911yescharacteristic
1830C4—21no—
1831C4—21no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—1181no—
1838C4—1181no—
1839C4—1181no—
1840C4—1181no—
1841C4—1181no—
1842C4—1181no—
1843C4—1181no—
1844C4—1181no—
1845C4—2361no—
1846C4—2361no—
1847C4—2361no—
1848C4—2361no—
1849C4—2361no—
1850C4#1683796712yes—
1851C4C2×#1427377211yescharacteristic
1852C4C2×#1427377211yescharacteristic
1853C2—22no—
1854C2—41no—
1855C2—41no—
1856C2—81no—
1857C2—81no—
1858C2—81no—
1859C2—4721no—
1860C2—4721no—
1861C2—4721no—
1862C2C2×#1683796711yescharacteristic
1863C2#2143886511yescharacteristic
1864C2#2143886911yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3002C2
socleC22×C59C23×D4
hypercenter#3002D59
hypocenterC59#60797
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #3002

Complements

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

NH ≅ G/Ntype
1. #21437484C2semidirect
2. #21437425C2semidirect
3. #21435211C2semidirect
4. #21435209C2semidirect
5. #21435203C2semidirect
6. #21435201C2semidirect
7. #21435196C2semidirect
8. #21435194C2semidirect
9. #21435188C2semidirect
10. #21435186C2semidirect
11. #21435177C2semidirect
12. #21435175C2semidirect
13. #21435166C2semidirect
14. #21435164C2semidirect
15. #21435155C2semidirect
16. #21435153C2semidirect
17. #21435144C2semidirect
18. #21435142C2semidirect
19. #21434539C2semidirect
20. #21434520C2semidirect
21. #21434439C2semidirect
22. #21434416C2semidirect
23. #21433549C2semidirect
24. #21433549C2semidirect
25. #21433547C2semidirect
26. #21433547C2semidirect
27. #21433318C2semidirect
28. #21433314C2semidirect
29. #21433312C2semidirect
30. C2×#16837460C2semidirect
31. C59×#3002C2semidirect
33. C2×#14273749C22semidirect
34. C2×#14273749C22semidirect
35. C2×#14273747C22semidirect
36. C2×#14273747C22semidirect
37. C2×#14273747C22semidirect
38. C2×#14273747C22semidirect
39. #16838025C22semidirect
40. #16838025C22semidirect
41. #16838019C22semidirect
42. #16838019C22semidirect
43. #16838012C22semidirect
44. #16838012C22semidirect
45. #16838005C22semidirect
46. #16838005C22semidirect
63. #16837955C22semidirect
68. #16837948C22semidirect
78. #41×Dic59C22semidirect
79. #16837870C22semidirect
81. #16837795C22semidirect
82. #16837795C22semidirect
83. #16837793C22semidirect
84. #16837793C22semidirect
85. #16837790C22semidirect
86. #16837790C22semidirect
87. #16837788C22semidirect
88. #16837788C22semidirect
89. #16837787C22semidirect
90. #16837785C22semidirect
91. #16837783C22semidirect
92. #16837783C22semidirect
93. #16837780C22semidirect
94. #16837777C22semidirect
95. #16837773C22semidirect
96. #16837773C22semidirect
97. #16837769C22semidirect
98. #16837769C22semidirect
99. #16837765C22semidirect
100. #16837765C22semidirect
101. #16837763C22semidirect
102. #16837763C22semidirect
103. #16837760C22semidirect
104. #16837760C22semidirect
105. #16837758C22semidirect
106. #16837758C22semidirect
107. #16837755C22semidirect
108. #16837755C22semidirect
109. #16837751C22semidirect
110. #16837751C22semidirect
111. #16837747C22semidirect
112. #16837747C22semidirect
113. #16837627C22semidirect
114. #16837627C22semidirect
115. #16837626C22semidirect
116. #16837626C22semidirect
117. #16837623C22semidirect
118. #16837623C22semidirect
119. #16837622C22semidirect
120. #16837622C22semidirect
121. #16837620C22semidirect
122. #16837620C22semidirect
123. #16837619C22semidirect
124. #16837619C22semidirect
125. #16837616C22semidirect
126. #16837616C22semidirect
127. #16837615C22semidirect
128. #16837615C22semidirect
129. #16837611C22semidirect
130. #16837611C22semidirect
131. #16837610C22semidirect
132. #16837610C22semidirect
133. #16837606C22semidirect
134. #16837606C22semidirect
135. #16837605C22semidirect
136. #16837605C22semidirect
137. #16837601C22semidirect
138. #16837601C22semidirect
139. #16837600C22semidirect
140. #16837600C22semidirect
141. #16837596C22semidirect
142. #16837596C22semidirect
143. #16837595C22semidirect
144. #16837595C22semidirect
151. #16837560C22semidirect
152. #16837558C22semidirect
153. #16837557C22semidirect
154. #16837555C22semidirect
155. #16837553C22semidirect
156. #16837552C22semidirect
163. #16837543C22semidirect
164. #16837541C22semidirect
165. #16837540C22semidirect
166. #16837538C22semidirect
167. #16837536C22semidirect
168. #16837535C22semidirect
169. #16837460C22semidirect
170. #16837460C22semidirect
171. #16837460C22semidirect
172. #16837460C22semidirect
173. #16837460C22semidirect
174. #16837460C22semidirect
175. #16837460C22semidirect
176. #16837460C22semidirect
177. C2×Dic59⋊C8C22semidirect
178. C2×Dic59⋊C8C22semidirect
179. #16837399C22semidirect
180. #16837399C22semidirect
181. #16837398C22semidirect
182. #16837398C22semidirect
183. #16837396C22semidirect
184. #16837396C22semidirect
186. C2×#14273637C22semidirect
187. C2×C8×Dic59C22semidirect
189. C2×#135×C59C22semidirect
190. C2×#135×C59C22semidirect
194. C59×#451C22semidirect
195. C59×#450C22semidirect
198. C59×#448C22semidirect
199. C59×#447C22semidirect
200. C59×#416C22semidirect
201. C59×#416C22semidirect
950. #3002D59semidirect
972. C2×#135C2×D59semidirect
973. C2×#135C2×D59semidirect
1092. #451C2×D59semidirect
1096. #450C2×D59semidirect
1108. #448C2×D59semidirect
1112. #447C2×D59semidirect
1129. #416C2×D59semidirect
1130. #416C2×D59semidirect
1135. C59#60797semidirect

Maximal subgroups

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

subgroupindex
#214374842
#214374252
#214352112
#214352092
#214352032
#214352012
#214351962
#214351942
#214351882
#214351862
#214351772
#214351752
#214351662
#214351642
#214351552
#214351532
#214351442
#214351422
#214345392
#214345202
#214344392
#214344162
#214335492
#214335472
#214333182
#214333142
#214333122
C2×#168374602
C59×#30022
#6079759