Finite Group Databasebeta

← #29482250

Subgroups — #29482250

Order 15104.

1902 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438613C211yesmaximal, characteristic, complemented
2#21438132C211yesmaximal, characteristic, complemented
3#21437168C211yesmaximal, characteristic, complemented
4#21437165C211yesmaximal, characteristic, complemented
5#21436886C211yesmaximal, characteristic, complemented
6#21436883C211yesmaximal, characteristic, complemented
7#21436211C211yesmaximal, characteristic, complemented
8#21436207C211yesmaximal, characteristic, complemented
9#21436063C211yesmaximal, characteristic, complemented
10#21436050C211yesmaximal, characteristic, complemented
11#21435921C211yesmaximal, characteristic, complemented
12#21435915C211yesmaximal, characteristic, complemented
13#21435803C211yesmaximal, characteristic, complemented
14#21435624C211yesmaximal, characteristic, complemented
15#21435621C211yesmaximal, characteristic, complemented
16#21435577C211yesmaximal, characteristic, complemented
17#21435569C211yesmaximal, characteristic, complemented
18#21435564C211yesmaximal, characteristic, complemented
19#21435560C211yesmaximal, characteristic, complemented
20#21435407C211yesmaximal, characteristic, complemented
21#21435188C211yesmaximal, characteristic, complemented
22#21435183C211yesmaximal, characteristic, complemented
23#21435098C211yesmaximal, characteristic, complemented
24#21434369C211yesmaximal, characteristic, complemented
25#21434366C211yesmaximal, characteristic, complemented
26#21434182C211yesmaximal, characteristic, complemented
27#21433636C211yesmaximal, characteristic, complemented
28#21433633C211yesmaximal, characteristic, complemented
29C2×#16837619C211yesmaximal, characteristic, complemented
30#21433229C211yesmaximal, characteristic, complemented
31C59×#3282C211yesmaximal, characteristic, complemented
32C2×#14273752C2211yescharacteristic, complemented
33C2×#14273751C2211yescharacteristic, complemented
34C2×#14273748C2211yescharacteristic, complemented
35C22×#11745669C2211yescharacteristic
36#16838148—21no—
37#16838144—21no—
38#16838137C2211yescharacteristic, complemented
39#16838134C2211yescharacteristic, complemented
40#16838121C2211yescharacteristic, complemented
41#16838110C2211yescharacteristic, complemented
42#16838109C2211yescharacteristic, complemented
43#16838089—21no—
44#16838083—21no—
45#16838078—21no—
46D4×Dic118C2211yescharacteristic, complemented
47#16838063C2211yescharacteristic
48#16838058—21no—
49#16838052C2211yescharacteristic, complemented
50#16838051C2211yescharacteristic, complemented
51#16838047—21no—
52#16838046C2211yescharacteristic, complemented
53#16838043C2211yescharacteristic, complemented
54#16838041—21no—
55#16838040C2211yescharacteristic, complemented
56D4×D236C2211yescharacteristic
57#16838036C2211yescharacteristic
58#16838025C2211yescharacteristic, complemented
59#16838024C2211yescharacteristic, complemented
60#16838021C2211yescharacteristic, complemented
61#16838019C2211yescharacteristic, complemented
62#16837997—21no—
63#16837996—21no—
64#16837992—21no—
65#16837986—21no—
66#16837985—21no—
67#16837970C2211yescharacteristic, complemented
68#16837966C2211yescharacteristic, complemented
69#16837960—21no—
70#16837954C2211yescharacteristic, complemented
71#16837947C2211yescharacteristic
72#16837932C2211yescharacteristic
73C2×#14273716C2211yescharacteristic
74#16837908—21no—
75C2×#14273704—21no—
76#16837885C2211yescharacteristic, complemented
77#16837881C2211yescharacteristic, complemented
78C2×D4×Dic59C2211yescharacteristic, complemented
79#16837795C2211yescharacteristic, complemented
80#16837795C2211yescharacteristic, complemented
81#16837792C2211yescharacteristic
82#16837790C2211yescharacteristic
83#16837783C2211yescharacteristic, complemented
84#16837763C2211yescharacteristic, complemented
85#16837763C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837761C2211yescharacteristic, complemented
88#16837749C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837731C2211yescharacteristic, complemented
91#16837730C2211yescharacteristic, complemented
92#16837722C2211yescharacteristic, complemented
93#16837721C2211yescharacteristic, complemented
94#16837721C2211yescharacteristic, complemented
95#16837718C2211yescharacteristic, complemented
96#16837693C2211yescharacteristic, complemented
97#16837691C2211yescharacteristic, complemented
98#16837691C2211yescharacteristic, complemented
99#16837690C2211yescharacteristic, complemented
100#16837690C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837687C2211yescharacteristic, complemented
103#16837686C2211yescharacteristic, complemented
104#16837685C2211yescharacteristic, complemented
105#16837685C2211yescharacteristic, complemented
106#16837658C2211yescharacteristic, complemented
107#16837657C2211yescharacteristic, complemented
108#16837654C2211yescharacteristic
109#16837653C2211yescharacteristic
110#16837634C2211yescharacteristic, complemented
111#16837633C2211yescharacteristic, complemented
112#16837631C2211yescharacteristic, complemented
113#16837631C2211yescharacteristic, complemented
114#16837629C2211yescharacteristic, complemented
115#16837628C2211yescharacteristic, complemented
116#16837627C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837626C2211yescharacteristic, complemented
120#16837626C2211yescharacteristic, complemented
121#16837622C2211yescharacteristic, complemented
122#16837621C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837619C2211yescharacteristic, complemented
126#16837619C2211yescharacteristic, complemented
127#16837619C2211yescharacteristic, complemented
128#16837619C2211yescharacteristic, complemented
129#16837619C2211yescharacteristic, complemented
130#16837619C2211yescharacteristic, complemented
131#16837619C2211yescharacteristic, complemented
132#16837616C2211yescharacteristic, complemented
133#16837614C2211yescharacteristic, complemented
134#16837606C2211yescharacteristic, complemented
135#16837605C2211yescharacteristic, complemented
136#16837603C2211yescharacteristic, complemented
137#16837601C2211yescharacteristic, complemented
138#16837600C2211yescharacteristic, complemented
139#16837600C2211yescharacteristic, complemented
140#16837597C2211yescharacteristic
141#16837595C2211yescharacteristic
142#16837595C2211yescharacteristic, complemented
143#16837595C2211yescharacteristic, complemented
144#16837564C2211yescharacteristic, complemented
145#16837563C2211yescharacteristic, complemented
146#16837561C2211yescharacteristic, complemented
147#16837558C2211yescharacteristic, complemented
148#16837555C2211yescharacteristic
149#16837555C2211yescharacteristic, complemented
150#16837552C2211yescharacteristic
151#16837551C2211yescharacteristic, complemented
152#16837548C2211yescharacteristic
153#16837547C2211yescharacteristic
154#16837546C2211yescharacteristic, complemented
155#16837536C2211yescharacteristic, complemented
156#16837535C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837532C2211yescharacteristic, complemented
159#16837531C2211yescharacteristic, complemented
160#16837514C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837512C2211yescharacteristic, complemented
163#16837511C2211yescharacteristic, complemented
164#16837511C2211yescharacteristic, complemented
165#16837511C2211yescharacteristic, complemented
166#16837509C2211yescharacteristic, complemented
167#16837507C2211yescharacteristic, complemented
168C4×#11745660C2211yescharacteristic, complemented
169SD16×Dic59C2211yescharacteristic, complemented
170#16837487C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic, complemented
172#16837474C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175C8×C22⋊D59C2211yescharacteristic, complemented
176#16837461C2211yescharacteristic, complemented
177#16837460C2211yescharacteristic, complemented
178#16837456C2211yescharacteristic, complemented
179#16837428C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181C2×Dic59⋊C8C2211yescharacteristic, complemented
182#16837403C2211yescharacteristic, complemented
183#16837402C2211yescharacteristic, complemented
184C2×#14273651C2211yescharacteristic, complemented
185C2×#14273649C2211yescharacteristic
186C2×#14273649C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C2×#135×C59C2211yescharacteristic, complemented
189C22×SD16×C59C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic
191C59×#546C2211yescharacteristic, complemented
192C59×#495C2211yescharacteristic, complemented
193C59×#465C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#451C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C4×SD16×C59C2211yescharacteristic, complemented
202C8×D4×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745687—21no—
205C2×#11745687—21no—
206C2×#11745687C2311yescharacteristic
207C22×Dic118—21no—
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C2×D4×D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C23×Dic59—21no—
214#14273752—42no—
215#14273751—42no—
216#14273748—42no—
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745669—42no—
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745664C2311yescharacteristic
234C2×#11745659C2311yescharacteristic
235C22×C59⋊C8C2311yescharacteristic
236C2×C8×D59C2311yescharacteristic
237#14273727C2311yescharacteristic
238#14273726C2311yescharacteristic
239#14273726C2311yescharacteristic
240#14273726C2311yescharacteristic
241#14273725C2311yescharacteristic
242#14273724C2311yescharacteristic
243#14273723C2311yescharacteristic
244#14273723C2311yescharacteristic
245#14273722—21no—
246#14273722D411yescharacteristic
247#14273721—21no—
248#14273720—21no—
249#14273720—21no—
250#14273720—21no—
251#14273720—21no—
252#14273720D411yescharacteristic
253#14273718—21no—
254#14273717—21no—
255#14273717—21no—
256#14273717D411yescharacteristic
257#14273716—21no—
258#14273716—21no—
259#14273716—21no—
260#14273716C2311yescharacteristic
261#14273716C2311yescharacteristic
262#14273716C2311yescharacteristic
263#14273716C2311yescharacteristic
264#14273716C2311yescharacteristic
265#14273715—21no—
266#14273715—21no—
267#14273714—21no—
268#14273714C2311yescharacteristic
269#14273713—21no—
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713D411yescharacteristic
274#14273712—21no—
275#14273712—21no—
276#14273712—21no—
277#14273712—21no—
278#14273711—21no—
279#14273711—21no—
280#14273711D411yescharacteristic
281#14273710—21no—
282#14273710—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273708—21no—
287#14273708—21no—
288#14273708—21no—
289#14273708—21no—
290#14273708D411yescharacteristic
291#14273707—21no—
292#14273707—21no—
293#14273706—21no—
294#14273706C2311yescharacteristic
295#14273706C2311yescharacteristic
296#14273705—21no—
297#14273704—21no—
298#14273704—21no—
299#14273704—21no—
300#14273704—21no—
301#14273704—21no—
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704—21no—
306#14273704—21no—
307#14273704D411yescharacteristic
308#14273703—21no—
309#14273703C2311yescharacteristic
310#14273703C2311yescharacteristic
311#14273702—21no—
312#14273702—21no—
313#14273702C2311yescharacteristic
314#14273701—21no—
315#14273701—21no—
316#14273701—21no—
317#14273701C2311yescharacteristic
318#14273701C2311yescharacteristic
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699D411yescharacteristic
327#14273698C2311yescharacteristic
328#14273697—21no—
329#14273697—21no—
330#14273697—21no—
331#14273697—21no—
332#14273697—21no—
333#14273697—21no—
334#14273696—21no—
335#14273695—21no—
336#14273695—21no—
337#14273695—21no—
338#14273695—21no—
339Q8×Dic59C2311yescharacteristic
340Q8×Dic59C2311yescharacteristic
341Q8×Dic59C2311yescharacteristic
342C4×Dic118C2311yescharacteristic
343C4×Dic118C2311yescharacteristic
344#14273692—21no—
345#14273692C2311yescharacteristic
346C4×D236—21no—
347C4×D236C2311yescharacteristic
348D4×Dic59—21no—
349D4×Dic59—21no—
350D4×Dic59—21no—
351D4×Dic59—21no—
352D4×Dic59—21no—
353D4×Dic59C2311yescharacteristic
354D4×Dic59C2311yescharacteristic
355D4×Dic59C2311yescharacteristic
356D4×Dic59C2311yescharacteristic
357D4×Dic59C2311yescharacteristic
358D4×Dic59C2311yescharacteristic
359#14273689C2311yescharacteristic
360#14273689C2311yescharacteristic
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59C2311yescharacteristic
364C4×C22⋊D59C2311yescharacteristic
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369#14273686—21no—
370#14273686C2311yescharacteristic
371#14273684C2311yescharacteristic
372#14273683—21no—
373#14273683—21no—
374#14273683—21no—
375C2×C4⋊Dic59—21no—
376C2×C4⋊Dic59C2311yescharacteristic
377C2×C4⋊Dic59C2311yescharacteristic
378C2×Dic59⋊C4—21no—
379C2×Dic59⋊C4—21no—
380C4⋊C4×D59C2311yescharacteristic
381C2×C22⋊Dic59—21no—
382C2×C22⋊Dic59—21no—
383C2×(C2×D59)⋊C4—21no—
384C2×(C2×D59)⋊C4—21no—
385C2×(C2×D59)⋊C4—21no—
386C22⋊C4×D59—21no—
387C2×C4×Dic59C2311yescharacteristic
388#14273659C2311yescharacteristic
389#14273659C2311yescharacteristic
390#14273659C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434#14273638C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437#14273637C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C2×#41×C59C2311yescharacteristic
441C22×Q8×C59C2311yescharacteristic
442C22×D4×C59C2311yescharacteristic
443#135×C59—42no—
444C2×Q16×C59C2311yescharacteristic
445C2×Q16×C59C2311yescharacteristic
446C2×SD16×C59—42no—
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C22×C8×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456#124×C59—21no—
457#124×C59C2311yescharacteristic
458#124×C59C2311yescharacteristic
459#123×C59—21no—
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463#121×C59—21no—
464#121×C59—21no—
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467#120×C59—21no—
468C4×Q8×C59C2311yescharacteristic
469C4×D4×C59—21no—
470C4×D4×C59C2311yescharacteristic
471C4×D4×C59C2311yescharacteristic
472C2×C22⋊C4×C59—21no—
473#106×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—22no—
489#41×C59—41no—
490#41×C59—41no—
491#41×C59—41no—
492C2×Q8×C59—21no—
493C2×Q8×C59—41no—
494C2×Q8×C59—41no—
495C2×Q8×C59C2411yescharacteristic
496C2×Q8×C59C2411yescharacteristic
497C2×Q8×C59C2411yescharacteristic
498C2×D4×C59—22no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—41no—
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59C2411yescharacteristic
514C22×C4×C59C2411yescharacteristic
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59C2×D411yescharacteristic
525C2×C22⋊D59C2×D411yescharacteristic
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—82no—
536C22×Dic59C2×D411yescharacteristic
537C22×Dic59C2×D411yescharacteristic
538#11745689—41no—
539#11745689—41no—
540#11745687—22no—
541#11745687—41no—
542#11745687—82no—
543#11745687—82no—
544D4×D59—41no—
545D4×D59—41no—
546D4×D59—82no—
547D4×D59—82no—
548C2×D236—21no—
549C2×D236—21no—
550C2×D236—21no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—41no—
555C2×D236—41no—
556C2×D236—41no—
557C2×D236—41no—
558C2×D236C2411yescharacteristic
559C2×D236C2411yescharacteristic
560C2×D236C2411yescharacteristic
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59C2411yescharacteristic
567C2×Dic118—21no—
568C2×Dic118—21no—
569C2×Dic118—21no—
570C2×Dic118—21no—
571C2×Dic118—82no—
572C2×Dic118C2×D411yescharacteristic
573C2×Dic118C2411yescharacteristic
574Q16×C59—41no—
575Q16×C59—41no—
576SD16×C59—22no—
577SD16×C59—22no—
578SD16×C59—41no—
579SD16×C59—41no—
580SD16×C59—41no—
581D8×C59—22no—
582D8×C59—41no—
583C2×C8×C59—41no—
584C2×C8×C59—41no—
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C2×C8×C59C2411yescharacteristic
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59C2×D411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59C2×D411yescharacteristic
605C22⋊C4×C59C2×D411yescharacteristic
606C42×C59—21no—
607C42×C59C2411yescharacteristic
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59C2×D411yescharacteristic
620C22⋊Dic59C2×D411yescharacteristic
621C22⋊Dic59C2×D411yescharacteristic
622C22⋊Dic59C2×D411yescharacteristic
623#11745672—41no—
624#11745672—41no—
625#11745671—41no—
626#11745671—41no—
627#11745671—41no—
628#11745670—41no—
629#11745669—22no—
630#11745669—22no—
631#11745669—22no—
632#11745669—41no—
633#11745669—41no—
634#11745669—41no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59C2×D411yescharacteristic
664C4⋊Dic59C2×D411yescharacteristic
665C4⋊Dic59C2×D411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669C4⋊Dic59C2411yescharacteristic
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684Dic59⋊C4C2×D411yescharacteristic
685Dic59⋊C4C2×D411yescharacteristic
686Dic59⋊C4C2×D411yescharacteristic
687Dic59⋊C4C2×D411yescharacteristic
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692C4×Dic59—21no—
693C4×Dic59C2×D411yescharacteristic
694C4×Dic59C2×D411yescharacteristic
695C4×Dic59C2411yescharacteristic
696C4×Dic59C2411yescharacteristic
697C4×Dic59C2411yescharacteristic
698#11745664—41no—
699C2×C59⋊C8—41no—
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704#11745660—41no—
705#11745660—41no—
706#11745660—41no—
707#11745659—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—42no—
713C23×C59—42no—
714C23×C59—81no—
715C23×C59C22×D411yescharacteristic
716C23×C59C22×D411yescharacteristic
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—42no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59C22×D411yescharacteristic
730Q8×C59—21no—
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734Q8×C59—21no—
735Q8×C59—21no—
736Q8×C59—81no—
737D4×C59—22no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—42no—
744D4×C59—42no—
745D4×C59—42no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59H(5,𝔽2)12yes—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—42no—
759C2×C4×C59—81no—
760C2×C4×C59—81no—
761C2×C4×C59—81no—
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C2511yescharacteristic
767C22⋊D59—22no—
768C22⋊D59—41no—
769C22⋊D59—42no—
770C22⋊D59—42no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C2×Dic59—22no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—41no—
785C2×Dic59—42no—
786C2×Dic59—42no—
787C2×Dic59—42no—
788C2×Dic59—81no—
789C2×Dic59—81no—
790C2×Dic59—81no—
791C2×Dic59—81no—
792C2×Dic59—81no—
793C2×Dic59—81no—
794C2×Dic59C22×D411yescharacteristic
795C2×Dic59C22×D411yescharacteristic
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801D236—21no—
802D236—21no—
803D236—21no—
804D236—21no—
805D236—21no—
806D236—21no—
807D236—81no—
808D236—81no—
809D236—81no—
810D236—81no—
811D236—81no—
812D236—81no—
813C4×D59—21no—
814C4×D59—21no—
815C4×D59—81no—
816C4×D59—81no—
817C4×D59—81no—
818C4×D59—81no—
819C4×D59—81no—
820Dic118—21no—
821Dic118—21no—
822Dic118—41no—
823Dic118—42no—
824Dic118—81no—
825Dic118—81no—
826Dic118—81no—
827C8×C59—21no—
828C8×C59—21no—
829C8×C59—21no—
830C8×C59—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#62018—591nomaximal, Sylow
836C22×C59—21no—
837C22×C59—21no—
838C22×C59—21no—
839C22×C59—22no—
840C22×C59—21no—
841C22×C59—21no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—84no—
851C22×C59#57712yes—
852C22×C59C23×D411yescharacteristic
853C2×D59—21no—
854C2×D59—21no—
855C2×D59—21no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—162no—
866C2×D59—162no—
867C2×D59—162no—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59C2×H(5,𝔽2)11yescharacteristic
878C4×C59#58511yescharacteristic
879Dic59—21no—
880Dic59—21no—
881Dic59—21no—
882Dic59—21no—
883Dic59—21no—
884Dic59—21no—
885Dic59—21no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891#3558—591no—
892#3520—591no—
893#3401—591no—
894#3401—591no—
895#3373—591no—
896#3373—591no—
897#3316—591no—
898#3316—591no—
899#3306—591no—
900#3306—591no—
901#3295—591no—
902#3295—591no—
903#3282—591no—
904#3282D5911yescharacteristic, complemented
905#3267—591no—
906#3267—591no—
907#3264—591no—
908#3264—591no—
909#3263—591no—
910#3263—591no—
911#3246—591no—
912#3224—591no—
913#3224—591no—
914#3215—591no—
915#3125—591no—
916#3125—591no—
917#3109—591no—
918#3045—591no—
919#3045—591no—
920C2×#463—591no—
921#2992—591no—
922C2×C59—22no—
923C2×C59—41no—
924C2×C59—42no—
925C2×C59—81no—
926C2×C59—81no—
927C2×C59#348811yescharacteristic
928C2×C59C2×#57711yescharacteristic
929C2×C59#358511yescharacteristic
930D59—41no—
931D59—81no—
932D59—81no—
933D59—81no—
934C2×AGL(1,ℤ/8)—591no—
935C2×AGL(1,ℤ/8)—591no—
936C2×#135—591no—
937C2×#135C2×D5911yescharacteristic, complemented
938C22×SD16C2×D5911yescharacteristic, complemented
939C22×D8—591no—
940#562—1181no—
941H(3,𝔽4)—1181no—
942#559—591no—
943#559—591no—
944#556—591no—
945#554—591no—
946#554—591no—
947#552—1181no—
948#551—1181no—
949#551—1181no—
950D4×Q8—591no—
951#548—591no—
952#548—1181no—
953#548C2×D5911yescharacteristic
954#547—591no—
955#547—591no—
956#546—591no—
957#546—591no—
958#546—591no—
959#546—1181no—
960#546—1181no—
961#546C2×D5911yescharacteristic, complemented
962D42—591no—
963D42—591no—
964#542—591no—
965#542—591no—
966#542—591no—
967#542—591no—
968#539—1181no—
969#539—1181no—
970#538—1181no—
971#538—1181no—
972#538—1181no—
973#535—591no—
974#535—591no—
975#534—1181no—
976#533—591no—
977#532—591no—
978#529—591no—
979C2×#124—591no—
980#525—1181no—
981C2×C22⋊Q8—1181no—
982#520—591no—
983#520—591no—
984C2×C4×D4—591no—
985#497—591no—
986#497—591no—
987#496—591no—
988#496—591no—
989#495—591no—
990#495C2×D5911yescharacteristic, complemented
991#489—591no—
992#489—591no—
993#489—591no—
994#489—591no—
995#486—591no—
996#486—591no—
997#483—591no—
998#483—591no—
999#481—591no—
1000#481—591no—
1001#481—591no—
1002#481—591no—
1003#476—591no—
1004#476—591no—
1005#476—591no—
1006#476—591no—
1007#476—591no—
1008#476—591no—
1009#475—591no—
1010#475—591no—
1011#475—591no—
1012#475—591no—
1013#470—591no—
1014#470—591no—
1015#469—591no—
1016#469—591no—
1017#465—591no—
1018#465—591no—
1019#465—591no—
1020#465—591no—
1021#465—591no—
1022#465—591no—
1023#465C2×D5911yescharacteristic, complemented
1024#465C2×D5911yescharacteristic, complemented
1025#464—591no—
1026#464—591no—
1027#464—591no—
1028#464—591no—
1029#464—591no—
1030#464—591no—
1031#464—591no—
1032#464C2×D5911yescharacteristic, complemented
1033#463—591no—
1034#463—591no—
1035#463—591no—
1036#463—591no—
1037#463—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463C2×D5911yescharacteristic, complemented
1045#461—591no—
1046#461—591no—
1047#460—591no—
1048#460—591no—
1049#460—591no—
1050#460—591no—
1051#459—591no—
1052#459—591no—
1053#459—591no—
1054#459—591no—
1055#452—591no—
1056#452—591no—
1057#452—591no—
1058#452C2×D5911yescharacteristic, complemented
1059#451—591no—
1060#451C2×D5911yescharacteristic, complemented
1061#450—591no—
1062#450—591no—
1063#450—591no—
1064#450—591no—
1065#449—591no—
1066#449—591no—
1067#449—591no—
1068#449C2×D5911yescharacteristic, complemented
1069#447—591no—
1070#447—591no—
1071#447—591no—
1072#447C2×D5911yescharacteristic, complemented
1073#446—591no—
1074#446—591no—
1075#442—591no—
1076#442—591no—
1077#442—591no—
1078#442—591no—
1079#442—591no—
1080#442—591no—
1081#441—591no—
1082#441—591no—
1083C4×SD16—591no—
1084C4×SD16—591no—
1085C4×SD16—591no—
1086C4×SD16C2×D5911yescharacteristic, complemented
1087#435—591no—
1088#435—591no—
1089#435—591no—
1090#435—591no—
1091C8×D4—591no—
1092C8×D4C2×D5911yescharacteristic, complemented
1093#433—591no—
1094#433—591no—
1095#432—591no—
1096#424—591no—
1097#424—591no—
1098C2×C4⋊C8—591no—
1099#417—591no—
1100#417—591no—
1101C2×#103—591no—
1102C2×#102—591no—
1103C2×#102—591no—
1104C2×#102—591no—
1105C59#6201811yescharacteristic, complemented, Sylow
1106C2×#41—591no—
1107C2×#41—591no—
1108C2×#41—1181no—
1109C2×#41—1181no—
1110C2×#41C22×D5911yescharacteristic
1111C2×#41C22×D5911yescharacteristic
1112C22×Q8—1181no—
1113C22×Q8C22×D5911yescharacteristic
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—1181no—
1118C22×D4—1181no—
1119C22×D4C22×D5911yescharacteristic
1120C23×C4—1181no—
1121AGL(1,ℤ/8)—2362no—
1122AGL(1,ℤ/8)—2362no—
1123#135—42no—
1124#135—2362no—
1125C2×Q16—591no—
1126C2×Q16—591no—
1127C2×Q16C22×D5911yescharacteristic
1128C2×Q16C22×D5911yescharacteristic
1129C2×SD16—42no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16—591no—
1136C2×SD16—591no—
1137C2×SD16C22×D5911yescharacteristic
1138C2×SD16C22×D5911yescharacteristic
1139C2×SD16C22×D5911yescharacteristic
1140C2×SD16C22×D5911yescharacteristic
1141C2×SD16C22×D5911yescharacteristic
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8—591no—
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—2362no—
1149C2×D8C22×D5911yescharacteristic
1150C2×D8C22×D5911yescharacteristic
1151C2×M16—591no—
1152C2×M16—591no—
1153C22×C8—591no—
1154C22×C8—591no—
1155C22×C8C22×D5911yescharacteristic
1156C22×C8C22×D5911yescharacteristic
1157C4⋊Q8—591no—
1158C4⋊Q8—591no—
1159C4⋊Q8—591no—
1160C4⋊Q8—591no—
1161C4⋊Q8—591no—
1162#127—591no—
1163#127—591no—
1164#127—591no—
1165#126—591no—
1166#126—591no—
1167#126—1181no—
1168#126—1181no—
1169#126—1181no—
1170#126—1181no—
1171#126—1181no—
1172#126—1181no—
1173#125—591no—
1174#125—1181no—
1175#125—1181no—
1176#125—1181no—
1177#124—21no—
1178#124—591no—
1179#124—591no—
1180#124—591no—
1181#124—591no—
1182#124—591no—
1183#124—591no—
1184#124—591no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124—1181no—
1192#124—1181no—
1193#124—1181no—
1194#124—1181no—
1195#124C22×D5911yescharacteristic
1196#124C22×D5911yescharacteristic
1197#123—21no—
1198#123—591no—
1199#123—591no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215C22⋊Q8—21no—
1216C22⋊Q8—591no—
1217C22⋊Q8—591no—
1218C22⋊Q8—591no—
1219C22⋊Q8—591no—
1220C22⋊Q8—591no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8—1181no—
1225C22⋊Q8—1181no—
1226C22⋊Q8—1181no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236C22⋊Q8C22×D5911yescharacteristic
1237C22⋊Q8C22×D5911yescharacteristic
1238#121—21no—
1239#121—21no—
1240#121—591no—
1241#121—591no—
1242#121—591no—
1243#121—591no—
1244#121—591no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121C22×D5911yescharacteristic
1258#121C22×D5911yescharacteristic
1259#120—21no—
1260#120—1181no—
1261#120—1181no—
1262#120—1181no—
1263#120—1181no—
1264#120—1181no—
1265#120—1181no—
1266#120—1181no—
1267#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271C4×Q8—591no—
1272C4×Q8—591no—
1273C4×Q8—591no—
1274C4×Q8—591no—
1275C4×Q8—591no—
1276C4×Q8—591no—
1277C4×Q8—1181no—
1278C4×Q8C22×D5911yescharacteristic
1279C4×D4—21no—
1280C4×D4—591no—
1281C4×D4—591no—
1282C4×D4—591no—
1283C4×D4—591no—
1284C4×D4—591no—
1285C4×D4—591no—
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4C22×D5911yescharacteristic
1304C4×D4C22×D5911yescharacteristic
1305#117—591no—
1306#117—591no—
1307#117—1181no—
1308#117—1181no—
1309#117—1181no—
1310#117—1181no—
1311C2×C4⋊C4—591no—
1312C2×C4⋊C4—591no—
1313C2×C4⋊C4—591no—
1314C2×C4⋊C4—1181no—
1315C2×C4⋊C4—1181no—
1316C2×C4⋊C4—1181no—
1317C2×C22⋊C4—21no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C22⋊C4—1181no—
1322C2×C22⋊C4—1181no—
1323C2×C22⋊C4—1181no—
1324C2×C42—591no—
1325#106—591no—
1326#106—591no—
1327#106—591no—
1328#106—591no—
1329#106—591no—
1330#106—591no—
1331#106—591no—
1332#106C22×D5911yescharacteristic
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8—591no—
1340C4⋊C8—591no—
1341C4⋊C8—591no—
1342C4⋊C8C22×D5911yescharacteristic
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103C22×D5911yescharacteristic
1353#103C22×D5911yescharacteristic
1354#103C22×D5911yescharacteristic
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102C22×D5911yescharacteristic
1373#102C22×D5911yescharacteristic
1374#102C22×D5911yescharacteristic
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8—591no—
1379C22⋊C8C22×D5911yescharacteristic
1380C22⋊C8C22×D5911yescharacteristic
1381#97—591no—
1382#97—591no—
1383#97—591no—
1384#97—591no—
1385C4×C8—591no—
1386C4×C8C22×D5911yescharacteristic
1387C24—21no—
1388C24—1181no—
1389C24—1181no—
1390C24—1181no—
1391#41—22no—
1392#41—41no—
1393#41—41no—
1394#41—41no—
1395#41—1182no—
1396#41—4722no—
1397#41—4722no—
1398#41—2361no—
1399#41—2361no—
1400#41—2361no—
1401C2×Q8—21no—
1402C2×Q8—41no—
1403C2×Q8—41no—
1404C2×Q8—591no—
1405C2×Q8—591no—
1406C2×Q8—1181no—
1407C2×Q8—1181no—
1408C2×Q8—1181no—
1409C2×Q8—1181no—
1410C2×Q8—4722no—
1411C2×Q8C23×D5911yescharacteristic
1412C2×Q8C23×D5911yescharacteristic
1413C2×Q8C23×D5911yescharacteristic
1414C2×D4—22no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—41no—
1421C2×D4—591no—
1422C2×D4—591no—
1423C2×D4—591no—
1424C2×D4—591no—
1425C2×D4—591no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—4722no—
1442C2×D4—4722no—
1443C2×D4—2361no—
1444C2×D4—2361no—
1445C2×D4—2361no—
1446C2×D4—2361no—
1447C2×D4—2361no—
1448C2×D4—2361no—
1449C2×D4D4×D5911yescharacteristic
1450C2×D4C23×D5911yescharacteristic
1451C2×D4C23×D5911yescharacteristic
1452C2×D4C23×D5911yescharacteristic
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—591no—
1458C22×C4—591no—
1459C22×C4—591no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—1181no—
1474C22×C4—4722no—
1475C22×C4C23×D5911yescharacteristic
1476C22×C4C23×D5911yescharacteristic
1477Q16—41no—
1478Q16—41no—
1479Q16—2361no—
1480Q16—2361no—
1481SD16—22no—
1482SD16—22no—
1483SD16—41no—
1484SD16—41no—
1485SD16—41no—
1486SD16—2361no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492SD16—2361no—
1493D8—22no—
1494D8—41no—
1495D8—1182no—
1496D8—1182no—
1497D8—1182no—
1498D8—2361no—
1499D8—2361no—
1500D8—2361no—
1501M16—2361no—
1502M16—2361no—
1503C2×C8—41no—
1504C2×C8—41no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—591no—
1508C2×C8—591no—
1509C2×C8—2361no—
1510C2×C8—2361no—
1511C2×C8C23×D5911yescharacteristic
1512C2×C8C23×D5911yescharacteristic
1513C2×C8C23×D5911yescharacteristic
1514C2×C8C23×D5911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—591no—
1519C4⋊C4—591no—
1520C4⋊C4—591no—
1521C4⋊C4—591no—
1522C4⋊C4—591no—
1523C4⋊C4—591no—
1524C4⋊C4—591no—
1525C4⋊C4—591no—
1526C4⋊C4—591no—
1527C4⋊C4—591no—
1528C4⋊C4—591no—
1529C4⋊C4—591no—
1530C4⋊C4—591no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4D4×D5911yescharacteristic
1550C4⋊C4C23×D5911yescharacteristic
1551C4⋊C4C23×D5911yescharacteristic
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—591no—
1562C22⋊C4—591no—
1563C22⋊C4—591no—
1564C22⋊C4—591no—
1565C22⋊C4—591no—
1566C22⋊C4—591no—
1567C22⋊C4—591no—
1568C22⋊C4—591no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4D4×D5911yescharacteristic
1599C22⋊C4D4×D5911yescharacteristic
1600C42—21no—
1601C42—591no—
1602C42—591no—
1603C42—591no—
1604C42—591no—
1605C42—591no—
1606C42—1181no—
1607C42—1181no—
1608C42—1181no—
1609C42—1181no—
1610C42—1181no—
1611C42C23×D5911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—42no—
1616C23—42no—
1617C23—81no—
1618C23—591no—
1619C23—1181no—
1620C23—1181no—
1621C23—1181no—
1622C23—4721no—
1623C23—4721no—
1624C23—4721no—
1625C23—4721no—
1626C23—4721no—
1627C23—4721no—
1628C23—4721no—
1629C23—4721no—
1630C23—2362no—
1631C23C2×D4×D5911yescharacteristic
1632C23C2×D4×D5911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—21no—
1639Q8—81no—
1640Q8—1181no—
1641Q8—1181no—
1642Q8—4721no—
1643Q8—4721no—
1644Q8—4721no—
1645Q8—2361no—
1646Q8—2362no—
1647D4—22no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—42no—
1654D4—42no—
1655D4—42no—
1656D4—81no—
1657D4—81no—
1658D4—1182no—
1659D4—1181no—
1660D4—1181no—
1661D4—1181no—
1662D4—1181no—
1663D4—1181no—
1664D4—1181no—
1665D4—4721no—
1666D4—4721no—
1667D4—4721no—
1668D4—4721no—
1669D4—4721no—
1670D4—4721no—
1671D4—4721no—
1672D4—4721no—
1673D4—4721no—
1674D4—4721no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—2361no—
1679D4—2362no—
1680D4—2362no—
1681D4#1427377212yes—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—42no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—591no—
1696C2×C4—591no—
1697C2×C4—591no—
1698C2×C4—591no—
1699C2×C4—591no—
1700C2×C4—591no—
1701C2×C4—591no—
1702C2×C4—1182no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—1181no—
1706C2×C4—1181no—
1707C2×C4—1181no—
1708C2×C4—1181no—
1709C2×C4—1181no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—4721no—
1714C2×C4—4721no—
1715C2×C4—4721no—
1716C2×C4—4721no—
1717C2×C4—4721no—
1718C2×C4—4721no—
1719C2×C4—4721no—
1720C2×C4—4721no—
1721C2×C4—2361no—
1722C2×C4—2362no—
1723C2×C4—2362no—
1724C2×C4—2362no—
1725C2×C4C2×D4×D5911yescharacteristic
1726C2×C4C2×D4×D5911yescharacteristic
1727C2×C4C2×D4×D5911yescharacteristic
1728C2×C4C2×D4×D5911yescharacteristic
1729C2×C4C24×D5911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C8—1181no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—22no—
1742C22—21no—
1743C22—21no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—84no—
1753C22—1181no—
1754C22—1181no—
1755C22—1181no—
1756C22—9442no—
1757C22—9442no—
1758C22—9442no—
1759C22—2361no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22#1683820912yes—
1769C22C22×D4×D5911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—1181no—
1780C4—1181no—
1781C4—1181no—
1782C4—1181no—
1783C4—1181no—
1784C4—1181no—
1785C4—1181no—
1786C4—2361no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4C2×#1427377211yescharacteristic
1792C4#1683823711yescharacteristic
1793C2—22no—
1794C2—41no—
1795C2—42no—
1796C2—81no—
1797C2—81no—
1798C2—4721no—
1799C2—4721no—
1800C2—4721no—
1801C2—2361no—
1802C2#2143775611yescharacteristic
1803C2C2×#1683820911yescharacteristic
1804C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3282C2
socleC22×C59C23×D4
hypercenter#3282D59
hypocenterC59#62018
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #21438613C2semidirect
2. #21438132C2semidirect
3. #21437168C2semidirect
4. #21437165C2semidirect
5. #21436886C2semidirect
6. #21436883C2semidirect
7. #21436211C2semidirect
8. #21436207C2semidirect
9. #21436063C2semidirect
10. #21436050C2semidirect
11. #21435921C2semidirect
12. #21435915C2semidirect
13. #21435803C2semidirect
14. #21435624C2semidirect
15. #21435621C2semidirect
16. #21435577C2semidirect
17. #21435569C2semidirect
18. #21435564C2semidirect
19. #21435560C2semidirect
20. #21435407C2semidirect
21. #21435188C2semidirect
22. #21435183C2semidirect
23. #21435098C2semidirect
24. #21434369C2semidirect
25. #21434366C2semidirect
26. #21434182C2semidirect
27. #21433636C2semidirect
28. #21433633C2semidirect
29. C2×#16837619C2semidirect
30. #21433229C2semidirect
31. C59×#3282C2semidirect
32. C2×#14273752C22semidirect
33. C2×#14273751C22semidirect
34. C2×#14273748C22semidirect
38. #16838137C22semidirect
39. #16838134C22semidirect
40. #16838121C22semidirect
41. #16838110C22semidirect
42. #16838109C22semidirect
46. D4×Dic118C22semidirect
49. #16838052C22semidirect
50. #16838051C22semidirect
52. #16838046C22semidirect
53. #16838043C22semidirect
55. #16838040C22semidirect
58. #16838025C22semidirect
59. #16838024C22semidirect
60. #16838021C22semidirect
61. #16838019C22semidirect
67. #16837970C22semidirect
68. #16837966C22semidirect
70. #16837954C22semidirect
76. #16837885C22semidirect
77. #16837881C22semidirect
78. C2×D4×Dic59C22semidirect
79. #16837795C22semidirect
80. #16837795C22semidirect
83. #16837783C22semidirect
84. #16837763C22semidirect
85. #16837763C22semidirect
86. #16837763C22semidirect
87. #16837761C22semidirect
88. #16837749C22semidirect
89. #16837747C22semidirect
90. #16837731C22semidirect
91. #16837730C22semidirect
92. #16837722C22semidirect
93. #16837721C22semidirect
94. #16837721C22semidirect
95. #16837718C22semidirect
96. #16837693C22semidirect
97. #16837691C22semidirect
98. #16837691C22semidirect
99. #16837690C22semidirect
100. #16837690C22semidirect
101. #16837690C22semidirect
102. #16837687C22semidirect
103. #16837686C22semidirect
104. #16837685C22semidirect
105. #16837685C22semidirect
106. #16837658C22semidirect
107. #16837657C22semidirect
110. #16837634C22semidirect
111. #16837633C22semidirect
112. #16837631C22semidirect
113. #16837631C22semidirect
114. #16837629C22semidirect
115. #16837628C22semidirect
116. #16837627C22semidirect
117. #16837627C22semidirect
118. #16837626C22semidirect
119. #16837626C22semidirect
120. #16837626C22semidirect
121. #16837622C22semidirect
122. #16837621C22semidirect
123. #16837619C22semidirect
124. #16837619C22semidirect
125. #16837619C22semidirect
126. #16837619C22semidirect
127. #16837619C22semidirect
128. #16837619C22semidirect
129. #16837619C22semidirect
130. #16837619C22semidirect
131. #16837619C22semidirect
132. #16837616C22semidirect
133. #16837614C22semidirect
134. #16837606C22semidirect
135. #16837605C22semidirect
136. #16837603C22semidirect
137. #16837601C22semidirect
138. #16837600C22semidirect
139. #16837600C22semidirect
142. #16837595C22semidirect
143. #16837595C22semidirect
144. #16837564C22semidirect
145. #16837563C22semidirect
146. #16837561C22semidirect
147. #16837558C22semidirect
149. #16837555C22semidirect
151. #16837551C22semidirect
154. #16837546C22semidirect
155. #16837536C22semidirect
156. #16837535C22semidirect
157. #16837534C22semidirect
158. #16837532C22semidirect
159. #16837531C22semidirect
160. #16837514C22semidirect
161. #16837514C22semidirect
162. #16837512C22semidirect
163. #16837511C22semidirect
164. #16837511C22semidirect
165. #16837511C22semidirect
166. #16837509C22semidirect
167. #16837507C22semidirect
168. C4×#11745660C22semidirect
169. SD16×Dic59C22semidirect
170. #16837487C22semidirect
171. #16837476C22semidirect
172. #16837474C22semidirect
173. #16837473C22semidirect
174. #16837470C22semidirect
175. C8×C22⋊D59C22semidirect
176. #16837461C22semidirect
177. #16837460C22semidirect
178. #16837456C22semidirect
179. #16837428C22semidirect
180. #16837427C22semidirect
181. C2×Dic59⋊C8C22semidirect
182. #16837403C22semidirect
183. #16837402C22semidirect
184. C2×#14273651C22semidirect
186. C2×#14273649C22semidirect
187. #102×D59C22semidirect
188. C2×#135×C59C22semidirect
189. C22×SD16×C59C22semidirect
191. C59×#546C22semidirect
192. C59×#495C22semidirect
193. C59×#465C22semidirect
194. C59×#465C22semidirect
195. C59×#464C22semidirect
196. C59×#463C22semidirect
197. C59×#452C22semidirect
198. C59×#451C22semidirect
199. C59×#449C22semidirect
200. C59×#447C22semidirect
201. C4×SD16×C59C22semidirect
202. C8×D4×C59C22semidirect
904. #3282D59semidirect
937. C2×#135C2×D59semidirect
938. C22×SD16C2×D59semidirect
961. #546C2×D59semidirect
990. #495C2×D59semidirect
1023. #465C2×D59semidirect
1024. #465C2×D59semidirect
1032. #464C2×D59semidirect
1044. #463C2×D59semidirect
1058. #452C2×D59semidirect
1060. #451C2×D59semidirect
1068. #449C2×D59semidirect
1072. #447C2×D59semidirect
1086. C4×SD16C2×D59semidirect
1092. C8×D4C2×D59semidirect
1105. C59#62018semidirect

Maximal subgroups

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

subgroupindex
#214386132
#214381322
#214371682
#214371652
#214368862
#214368832
#214362112
#214362072
#214360632
#214360502
#214359212
#214359152
#214358032
#214356242
#214356212
#214355772
#214355692
#214355642
#214355602
#214354072
#214351882
#214351832
#214350982
#214343692
#214343662
#214341822
#214336362
#214336332
C2×#168376192
#214332292
C59×#32822
#6201859