Finite Group Databasebeta

← #29474165

Subgroups — #29474165

Order 15104.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437935C211yesmaximal, characteristic, complemented
2D4×#11745685C211yesmaximal, characteristic, complemented
3#21436366C211yesmaximal, characteristic, complemented
4#21436314C211yesmaximal, characteristic, complemented
5#21436269C211yesmaximal, characteristic, complemented
6#21436239C211yesmaximal, characteristic, complemented
7#21436224C211yesmaximal, characteristic, complemented
8#21436194C211yesmaximal, characteristic, complemented
9#21436000C211yesmaximal, characteristic, complemented
10#21435948C211yesmaximal, characteristic, complemented
11#21435839C211yesmaximal, characteristic, complemented
12#21435808C211yesmaximal, characteristic, complemented
13#21435732C211yesmaximal, characteristic, complemented
14#21435708C211yesmaximal, characteristic, complemented
15#21435671C211yesmaximal, characteristic, complemented
16#21435641C211yesmaximal, characteristic, complemented
17#21435626C211yesmaximal, characteristic, complemented
18#21435596C211yesmaximal, characteristic, complemented
19#21435135C211yesmaximal, characteristic, complemented
20#21435074C211yesmaximal, characteristic, complemented
21#21434938C211yesmaximal, characteristic, complemented
22#21434928C211yesmaximal, characteristic, complemented
23#21434889C211yesmaximal, characteristic, complemented
24#21434863C211yesmaximal, characteristic, complemented
25#21434207C211yesmaximal, characteristic, complemented
26#21434116C211yesmaximal, characteristic, complemented
27#21433350C211yesmaximal, characteristic, complemented
28#21433341C211yesmaximal, characteristic, complemented
29#21433318C211yesmaximal, characteristic, complemented
30C2×#16837566C211yesmaximal, characteristic, complemented
31C59×#2974C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic
33C22×#11745685C2211yescharacteristic, complemented
34C2×#14273760C2211yescharacteristic, complemented
35C2×#14273755C2211yescharacteristic, complemented
36C2×#14273755C2211yescharacteristic, complemented
37C2×#14273755C2211yescharacteristic, complemented
38C2×#14273749C2211yescharacteristic, complemented
39C2×#14273749C2211yescharacteristic, complemented
40C22×Dic236C2211yescharacteristic, complemented
41C22×#11745660C2211yescharacteristic, complemented
42#16838101—21no—
43#16838101—21no—
44#16838098C2211yescharacteristic
45#16838098C2211yescharacteristic, complemented
46#16838092C2211yescharacteristic, complemented
47#16838092C2211yescharacteristic, complemented
48#16838081—21no—
49#16838081—21no—
50#16838073C2211yescharacteristic
51D4×Dic118C2211yescharacteristic, complemented
52#16838061C2211yescharacteristic
53#16838061C2211yescharacteristic
54#16838061C2211yescharacteristic, complemented
55#16838061C2211yescharacteristic, complemented
56#16838057C2211yescharacteristic
57#16838053—21no—
58#16838048C2211yescharacteristic
59#16838048C2211yescharacteristic, complemented
60#16838048C2211yescharacteristic, complemented
61#16838048C2211yescharacteristic, complemented
62#16838042—21no—
63#16838042—21no—
64D4×D236C2211yescharacteristic, complemented
65D4×C22⋊D59—21no—
66#16837999—21no—
67#16837990—21no—
68#16837961—21no—
69#16837952C2211yescharacteristic, complemented
70#16837949—21no—
71#16837936C2211yescharacteristic, complemented
72#16837936C2211yescharacteristic, complemented
73#16837913C2211yescharacteristic
74#16837913C2211yescharacteristic, complemented
75#16837913C2211yescharacteristic, complemented
76#16837913C2211yescharacteristic, complemented
77#16837911—21no—
78#16837911—21no—
79C2×#14273706C2211yescharacteristic, complemented
80C2×#14273701C2211yescharacteristic, complemented
81#16837875—21no—
82C4×#11745685C2211yescharacteristic, complemented
83C4×D4×D59—21no—
84#16837796C2211yescharacteristic, complemented
85#16837791C2211yescharacteristic, complemented
86#16837786C2211yescharacteristic, complemented
87#16837786C2211yescharacteristic, complemented
88#16837771C2211yescharacteristic, complemented
89#16837767C2211yescharacteristic, complemented
90#16837757C2211yescharacteristic, complemented
91#16837757C2211yescharacteristic, complemented
92#16837744C2211yescharacteristic, complemented
93#16837744C2211yescharacteristic, complemented
94#16837744C2211yescharacteristic, complemented
95#16837744C2211yescharacteristic, complemented
96#16837738C2211yescharacteristic, complemented
97#16837738C2211yescharacteristic, complemented
98#16837727C2211yescharacteristic, complemented
99#16837727C2211yescharacteristic, complemented
100#16837727C2211yescharacteristic, complemented
101#16837727C2211yescharacteristic, complemented
102#16837721C2211yescharacteristic, complemented
103#16837721C2211yescharacteristic, complemented
104#16837710C2211yescharacteristic, complemented
105#16837710C2211yescharacteristic, complemented
106#16837703C2211yescharacteristic, complemented
107#16837703C2211yescharacteristic, complemented
108#16837660C2211yescharacteristic, complemented
109#16837660C2211yescharacteristic, complemented
110#16837660C2211yescharacteristic, complemented
111#16837655C2211yescharacteristic, complemented
112#16837648C2211yescharacteristic, complemented
113#16837648C2211yescharacteristic, complemented
114#16837648C2211yescharacteristic, complemented
115#16837648C2211yescharacteristic, complemented
116#16837643C2211yescharacteristic, complemented
117#16837638C2211yescharacteristic, complemented
118#16837638C2211yescharacteristic, complemented
119#16837638C2211yescharacteristic, complemented
120#16837631C2211yescharacteristic, complemented
121#16837631C2211yescharacteristic, complemented
122#16837631C2211yescharacteristic, complemented
123#16837631C2211yescharacteristic, complemented
124#16837625C2211yescharacteristic, complemented
125#16837625C2211yescharacteristic, complemented
126#16837625C2211yescharacteristic, complemented
127#16837625C2211yescharacteristic, complemented
128#16837618C2211yescharacteristic, complemented
129#16837618C2211yescharacteristic, complemented
130#16837618C2211yescharacteristic, complemented
131#16837618C2211yescharacteristic, complemented
132#16837613C2211yescharacteristic, complemented
133#16837608C2211yescharacteristic, complemented
134#16837603C2211yescharacteristic, complemented
135#16837598C2211yescharacteristic, complemented
136#16837566C2211yescharacteristic, complemented
137#16837566C2211yescharacteristic, complemented
138#16837566C2211yescharacteristic, complemented
139#16837566C2211yescharacteristic, complemented
140#16837566C2211yescharacteristic, complemented
141#16837566C2211yescharacteristic, complemented
142#16837566C2211yescharacteristic, complemented
143#16837566C2211yescharacteristic, complemented
144#16837566C2211yescharacteristic, complemented
145#16837566C2211yescharacteristic, complemented
146#16837566C2211yescharacteristic, complemented
147#16837566C2211yescharacteristic, complemented
148#16837566C2211yescharacteristic, complemented
149#16837566C2211yescharacteristic, complemented
150#16837560C2211yescharacteristic, complemented
151#16837560C2211yescharacteristic, complemented
152#16837555C2211yescharacteristic, complemented
153#16837555C2211yescharacteristic, complemented
154#16837549C2211yescharacteristic
155#16837549C2211yescharacteristic
156#16837549C2211yescharacteristic, complemented
157#16837549C2211yescharacteristic, complemented
158#16837549C2211yescharacteristic, complemented
159#16837549C2211yescharacteristic, complemented
160#16837549C2211yescharacteristic, complemented
161#16837549C2211yescharacteristic, complemented
162#16837549C2211yescharacteristic, complemented
163#16837549C2211yescharacteristic, complemented
164#16837543C2211yescharacteristic, complemented
165#16837543C2211yescharacteristic, complemented
166#16837543C2211yescharacteristic, complemented
167#16837543C2211yescharacteristic, complemented
168#16837538C2211yescharacteristic, complemented
169#16837538C2211yescharacteristic, complemented
170#16837538C2211yescharacteristic, complemented
171#16837538C2211yescharacteristic, complemented
172#16837515C2211yescharacteristic, complemented
173#16837510C2211yescharacteristic, complemented
174#16837504C2211yescharacteristic, complemented
175#16837504C2211yescharacteristic, complemented
176C4×Dic236C2211yescharacteristic, complemented
177C4×#11745660C2211yescharacteristic, complemented
178C4×#11745660C2211yescharacteristic, complemented
179C4×D472C2211yescharacteristic, complemented
180#16837412C2211yescharacteristic, complemented
181#16837408C2211yescharacteristic, complemented
182#16837404C2211yescharacteristic, complemented
183#16837404C2211yescharacteristic, complemented
184#16837399C2211yescharacteristic, complemented
185#16837399C2211yescharacteristic, complemented
186C2×#14273652C2211yescharacteristic, complemented
187C2×#14273649C2211yescharacteristic, complemented
188C2×C4×D4×C59C2211yescharacteristic
189C59×#436C2211yescharacteristic, complemented
190C59×#436C2211yescharacteristic, complemented
191C59×#435C2211yescharacteristic, complemented
192C59×#435C2211yescharacteristic, complemented
193C59×#435C2211yescharacteristic, complemented
194C59×#435C2211yescharacteristic, complemented
195C8×D4×C59C2211yescharacteristic, complemented
196C8×D4×C59C2211yescharacteristic, complemented
197C59×#432C2211yescharacteristic, complemented
198C59×#431C2211yescharacteristic, complemented
199C59×#407C2211yescharacteristic, complemented
200C59×#407C2211yescharacteristic, complemented
201C2×C22⋊C8×C59C2211yescharacteristic, complemented
202C2×C22⋊C8×C59C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685—42no—
208C2×#11745685—42no—
209C2×#11745685—42no—
210C2×#11745685—42no—
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×#11745685C2311yescharacteristic
216C2×#11745685C2311yescharacteristic
217C2×#11745685C2311yescharacteristic
218C2×#11745685C2311yescharacteristic
219C2×#11745685C2311yescharacteristic
220C22×Dic118C2311yescharacteristic
221C22×Dic118C2311yescharacteristic
222C22×Dic118C2311yescharacteristic
223C22×D236C2311yescharacteristic
224C22×D236C2311yescharacteristic
225C22×D236C2311yescharacteristic
226C22×C22⋊D59—21no—
227C22×C22⋊D59—21no—
228C22×C22⋊D59—21no—
229C2×D4×D59—21no—
230C22×C4×D59—21no—
231C22×C4×D59—21no—
232#14273760—42no—
233#14273755—42no—
234#14273755—42no—
235#14273755—42no—
236#14273749—42no—
237#14273749—42no—
238C2×Dic236—42no—
239C2×Dic236C2311yescharacteristic
240C2×Dic236C2311yescharacteristic
241C2×Dic236C2311yescharacteristic
242C2×Dic236C2311yescharacteristic
243C2×Dic236C2311yescharacteristic
244C2×Dic236C2311yescharacteristic
245C2×#11745660—42no—
246C2×#11745660C2311yescharacteristic
247C2×#11745660C2311yescharacteristic
248C2×#11745660C2311yescharacteristic
249C2×#11745660C2311yescharacteristic
250C2×#11745660C2311yescharacteristic
251C2×#11745660C2311yescharacteristic
252C2×#11745660C2311yescharacteristic
253C2×#11745660C2311yescharacteristic
254C2×#11745660C2311yescharacteristic
255C2×#11745660C2311yescharacteristic
256C2×#11745660C2311yescharacteristic
257C2×#11745660C2311yescharacteristic
258C2×D472C2311yescharacteristic
259C2×D472C2311yescharacteristic
260C2×D472C2311yescharacteristic
261C2×D472C2311yescharacteristic
262C2×D472C2311yescharacteristic
263C2×D472C2311yescharacteristic
264#14273727C2311yescharacteristic
265#14273726—21no—
266#14273724C2311yescharacteristic
267#14273723—21no—
268#14273722—21no—
269#14273722—21no—
270#14273721—21no—
271#14273721—21no—
272#14273720—21no—
273#14273720—21no—
274#14273719C2311yescharacteristic
275#14273719C2311yescharacteristic
276#14273717—21no—
277#14273717—21no—
278#14273715C2311yescharacteristic
279#14273715C2311yescharacteristic
280#14273715C2311yescharacteristic
281#14273715C2311yescharacteristic
282#14273713—21no—
283#14273713—21no—
284#14273713—21no—
285#14273713—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273710—21no—
291#14273710—21no—
292#14273710—21no—
293#14273710—21no—
294#14273710—21no—
295#14273710—21no—
296#14273709—21no—
297#14273709—21no—
298#14273709—21no—
299#14273709—21no—
300#14273708—21no—
301#14273708—21no—
302#14273706—21no—
303#14273706—21no—
304#14273706C2311yescharacteristic
305#14273706C2311yescharacteristic
306#14273706C2311yescharacteristic
307#14273706C2311yescharacteristic
308#14273706C2311yescharacteristic
309#14273706C2311yescharacteristic
310#14273706C2311yescharacteristic
311#14273706C2311yescharacteristic
312#14273706C2311yescharacteristic
313#14273706C2311yescharacteristic
314#14273705—21no—
315#14273705—21no—
316#14273705—21no—
317#14273705—21no—
318#14273704—21no—
319#14273704—21no—
320#14273702—21no—
321#14273701—21no—
322#14273701—21no—
323#14273701—21no—
324#14273701—21no—
325#14273701C2311yescharacteristic
326#14273701C2311yescharacteristic
327#14273701C2311yescharacteristic
328#14273701C2311yescharacteristic
329#14273701C2311yescharacteristic
330#14273701C2311yescharacteristic
331#14273701C2311yescharacteristic
332#14273701C2311yescharacteristic
333#14273701C2311yescharacteristic
334#14273701C2311yescharacteristic
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700—21no—
341#14273699—21no—
342#14273699—21no—
343#14273699—21no—
344#14273699—21no—
345#14273699—21no—
346#14273699—21no—
347#14273698—21no—
348#14273697—21no—
349#14273697—21no—
350#14273696—21no—
351#14273696—21no—
352#14273696—21no—
353#14273696—21no—
354#14273695—21no—
355#14273695—21no—
356#14273695—21no—
357#14273695—21no—
358C4×Dic118C2311yescharacteristic
359C4×Dic118C2311yescharacteristic
360C4×Dic118C2311yescharacteristic
361C4×Dic118C2311yescharacteristic
362C4×D236—21no—
363C4×D236—21no—
364C4×D236C2311yescharacteristic
365C4×D236C2311yescharacteristic
366C4×D236C2311yescharacteristic
367C4×D236C2311yescharacteristic
368D4×Dic59—21no—
369#14273689—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—
378C4×C22⋊D59—21no—
379C4×C22⋊D59—21no—
380C4×C22⋊D59—21no—
381C4×C22⋊D59—21no—
382(C22⋊D59)⋊C4—21no—
383(C22⋊D59)⋊C4—21no—
384(C22⋊D59)⋊C4—21no—
385(C22⋊D59)⋊C4—21no—
386(C22⋊D59)⋊C4—21no—
387(C22⋊D59)⋊C4—21no—
388#14273686C2311yescharacteristic
389#14273686C2311yescharacteristic
390#14273686C2311yescharacteristic
391#14273684—21no—
392#14273684—21no—
393#14273684—21no—
394#14273683—21no—
395#14273683—21no—
396C2×C4⋊Dic59C2311yescharacteristic
397C2×C4⋊Dic59C2311yescharacteristic
398C2×Dic59⋊C4—21no—
399C4⋊C4×D59—21no—
400C2×C22⋊Dic59—21no—
401C2×(C2×D59)⋊C4—21no—
402C22⋊C4×D59—21no—
403C22⋊C4×D59—21no—
404C22⋊C4×D59—21no—
405C22⋊C4×D59—21no—
406C42×D59—21no—
407#14273661C2311yescharacteristic
408#14273661C2311yescharacteristic
409#14273661C2311yescharacteristic
410#14273661C2311yescharacteristic
411#14273659C2311yescharacteristic
412#14273659C2311yescharacteristic
413#14273659C2311yescharacteristic
414#14273659C2311yescharacteristic
415#14273652C2311yescharacteristic
416#14273652C2311yescharacteristic
417#14273652C2311yescharacteristic
418#14273652C2311yescharacteristic
419#14273652C2311yescharacteristic
420#14273652C2311yescharacteristic
421#14273652C2311yescharacteristic
422#14273652C2311yescharacteristic
423#14273652C2311yescharacteristic
424#14273652C2311yescharacteristic
425#14273652C2311yescharacteristic
426#14273652C2311yescharacteristic
427#14273652C2311yescharacteristic
428#14273652C2311yescharacteristic
429#14273652C2311yescharacteristic
430#14273652C2311yescharacteristic
431#14273649C2311yescharacteristic
432#14273649C2311yescharacteristic
433#14273649C2311yescharacteristic
434#14273649C2311yescharacteristic
435#14273649C2311yescharacteristic
436#14273649C2311yescharacteristic
437#14273649C2311yescharacteristic
438#14273649C2311yescharacteristic
439#14273649C2311yescharacteristic
440#14273649C2311yescharacteristic
441#14273649C2311yescharacteristic
442#14273649C2311yescharacteristic
443#14273649C2311yescharacteristic
444#14273649C2311yescharacteristic
445#14273649C2311yescharacteristic
446#14273649C2311yescharacteristic
447C22×D4×C59D411yescharacteristic
448C23×C4×C59C2311yescharacteristic
449C23×C4×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451C2×M16×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C2×M16×C59C2311yescharacteristic
454C22×C8×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456C22×C8×C59C2311yescharacteristic
457C22×C8×C59C2311yescharacteristic
458C4×D4×C59D411yescharacteristic
459C4×D4×C59D411yescharacteristic
460C4×D4×C59D411yescharacteristic
461C4×D4×C59D411yescharacteristic
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C2×C4⋊C4×C59D411yescharacteristic
467C2×C22⋊C4×C59D411yescharacteristic
468C2×C22⋊C4×C59D411yescharacteristic
469C2×C42×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C22⋊C8×C59C2311yescharacteristic
475C22⋊C8×C59C2311yescharacteristic
476C22⋊C8×C59C2311yescharacteristic
477C22⋊C8×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483C22⋊C8×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486#97×C59C2311yescharacteristic
487#97×C59C2311yescharacteristic
488C4×C8×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C24×C59C2×D411yescharacteristic
491C24×C59C2×D411yescharacteristic
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C2×D4×C59—42no—
496C2×D4×C59C2×D411yescharacteristic
497C2×D4×C59C2×D411yescharacteristic
498C2×D4×C59C2×D411yescharacteristic
499C2×D4×C59C2×D411yescharacteristic
500C22×C4×C59—41no—
501C22×C4×C59—41no—
502C22×C4×C59—41no—
503C22×C4×C59—41no—
504C22×C4×C59C2×D411yescharacteristic
505C22×C4×C59C2×D411yescharacteristic
506C22×C4×C59C2×D411yescharacteristic
507C22×C4×C59C2×D411yescharacteristic
508C22×C4×C59C2×D411yescharacteristic
509C22×C4×C59C2×D411yescharacteristic
510C22×C4×C59C2×D411yescharacteristic
511C22×C4×C59C2×D411yescharacteristic
512C22×C4×C59C2411yescharacteristic
513C22×C4×C59C2411yescharacteristic
514C22×C4×C59C2411yescharacteristic
515C22×C4×C59C2411yescharacteristic
516C22×C4×C59C2411yescharacteristic
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⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—44no—
537C2×C22⋊D59—44no—
538C2×C22⋊D59—44no—
539C22×Dic59—21no—
540C22×Dic59—21no—
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59—21no—
544D4×D59—44no—
545#11745685—22no—
546#11745685—22no—
547#11745685—22no—
548#11745685—22no—
549#11745685—22no—
550#11745685—22no—
551#11745685—41no—
552#11745685—41no—
553#11745685—41no—
554#11745685—41no—
555#11745685—41no—
556#11745685—41no—
557#11745685—41no—
558#11745685—41no—
559#11745685—41no—
560#11745685—41no—
561#11745685—41no—
562#11745685—41no—
563#11745685—44no—
564#11745685—44no—
565#11745685—44no—
566#11745685—44no—
567C2×D236—22no—
568C2×D236—22no—
569C2×D236—21no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—41no—
575C2×D236—41no—
576C2×D236—41no—
577C2×D236—41no—
578C2×D236C2411yescharacteristic
579C2×D236C2411yescharacteristic
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—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—44no—
597C2×C4×D59—44no—
598C2×Dic118—22no—
599C2×Dic118—22no—
600C2×Dic118—21no—
601C2×Dic118—21no—
602C2×Dic118—21no—
603C2×Dic118—41no—
604C2×Dic118—41no—
605C2×Dic118—41no—
606C2×Dic118—41no—
607C2×Dic118C2411yescharacteristic
608C2×Dic118C2411yescharacteristic
609C2×Dic118C2411yescharacteristic
610C2×Dic118C2411yescharacteristic
611C2×Dic118C2411yescharacteristic
612M16×C59—41no—
613M16×C59—41no—
614M16×C59—41no—
615M16×C59—41no—
616C2×C8×C59—41no—
617C2×C8×C59—41no—
618C2×C8×C59—41no—
619C2×C8×C59—41no—
620C2×C8×C59C2411yescharacteristic
621C2×C8×C59C2411yescharacteristic
622C2×C8×C59C2411yescharacteristic
623C2×C8×C59C2411yescharacteristic
624C2×C8×C59C2411yescharacteristic
625C2×C8×C59C2411yescharacteristic
626C2×C8×C59C2411yescharacteristic
627C2×C8×C59C2411yescharacteristic
628C4⋊C4×C59C2×D411yescharacteristic
629C4⋊C4×C59C2×D411yescharacteristic
630C4⋊C4×C59C2×D411yescharacteristic
631C4⋊C4×C59C2×D411yescharacteristic
632C22⋊C4×C59C2×D411yescharacteristic
633C22⋊C4×C59C2×D411yescharacteristic
634C22⋊C4×C59C2×D411yescharacteristic
635C22⋊C4×C59C2×D411yescharacteristic
636C22⋊C4×C59C2×D411yescharacteristic
637C22⋊C4×C59C2×D411yescharacteristic
638C22⋊C4×C59C2×D411yescharacteristic
639C22⋊C4×C59C2×D411yescharacteristic
640C42×C59C2×D411yescharacteristic
641C42×C59C2×D411yescharacteristic
642C42×C59C2411yescharacteristic
643C42×C59C2411yescharacteristic
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
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—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679C4⋊Dic59—21no—
680C4⋊Dic59—21no—
681C4⋊Dic59—21no—
682C4⋊Dic59—21no—
683C4⋊Dic59C2411yescharacteristic
684C4⋊Dic59C2411yescharacteristic
685C4⋊Dic59C2411yescharacteristic
686C4⋊Dic59C2411yescharacteristic
687C4⋊Dic59C2411yescharacteristic
688C4⋊Dic59C2411yescharacteristic
689Dic59⋊C4—21no—
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—
707C4×Dic59—21no—
708C4×Dic59—21no—
709C4×Dic59—21no—
710C4×Dic59—21no—
711C4×Dic59—21no—
712C4×Dic59—21no—
713C4×Dic59—21no—
714Dic236—22no—
715Dic236—22no—
716Dic236—41no—
717Dic236—41no—
718Dic236—41no—
719Dic236—41no—
720D472—22no—
721D472—22no—
722D472—41no—
723D472—41no—
724D472—41no—
725D472—41no—
726#11745660—22no—
727#11745660—22no—
728#11745660—22no—
729#11745660—22no—
730#11745660—41no—
731#11745660—41no—
732#11745660—41no—
733#11745660—41no—
734#11745660—41no—
735#11745660—41no—
736#11745660—41no—
737#11745660—41no—
738C23×C59—22no—
739C23×C59—41no—
740C23×C59—41no—
741C23×C59—41no—
742C23×C59—41no—
743C23×C59—41no—
744C23×C59C22×D411yescharacteristic
745C23×C59C22×D411yescharacteristic
746C23×C59C22×D411yescharacteristic
747C23×C59C22×D411yescharacteristic
748C23×C59C22×D411yescharacteristic
749C22×D59—21no—
750C22×D59—21no—
751C22×D59—21no—
752C22×D59—21no—
753C22×D59—21no—
754C22×D59—42no—
755C22×D59—42no—
756C22×D59—42no—
757C22×D59—42no—
758C22×D59—42no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763D4×C59—22no—
764D4×C59—22no—
765D4×C59—41no—
766D4×C59—41no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—41no—
778C2×C4×C59—41no—
779C2×C4×C59—41no—
780C2×C4×C59—41no—
781C2×C4×C59—41no—
782C2×C4×C59—41no—
783C2×C4×C59—41no—
784C2×C4×C59—41no—
785C2×C4×C59C22×D411yescharacteristic
786C2×C4×C59C22×D411yescharacteristic
787C2×C4×C59C22×D411yescharacteristic
788C2×C4×C59C22×D411yescharacteristic
789C2×C4×C59C22×D411yescharacteristic
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C22×D411yescharacteristic
792C2×C4×C59C22×D411yescharacteristic
793C2×C4×C59C22×D411yescharacteristic
794C2×C4×C59C2511yescharacteristic
795C22⋊D59—24no—
796C22⋊D59—42no—
797C22⋊D59—42no—
798C22⋊D59—42no—
799C22⋊D59—42no—
800C22⋊D59—42no—
801C22⋊D59—42no—
802C22⋊D59—42no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—81no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C22⋊D59—81no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—21no—
821C2×Dic59—21no—
822C2×Dic59—21no—
823C2×Dic59—21no—
824C2×Dic59—21no—
825C2×Dic59—42no—
826C2×Dic59—42no—
827C2×Dic59—42no—
828C2×Dic59—81no—
829C2×Dic59—81no—
830D236—21no—
831D236—21no—
832D236—21no—
833D236—21no—
834D236—21no—
835D236—21no—
836D236—21no—
837D236—21no—
838D236—21no—
839D236—42no—
840D236—42no—
841D236—42no—
842D236—81no—
843D236—81no—
844D236H(5,𝔽2)12yes—
845C4×D59—24no—
846C4×D59—42no—
847C4×D59—42no—
848C4×D59—42no—
849C4×D59—42no—
850C4×D59—42no—
851C4×D59—42no—
852C4×D59—42no—
853C4×D59—81no—
854C4×D59—81no—
855C4×D59—81no—
856C4×D59—81no—
857C4×D59—81no—
858Dic118—21no—
859Dic118—21no—
860Dic118—21no—
861Dic118—21no—
862Dic118—21no—
863Dic118—21no—
864Dic118—21no—
865Dic118—21no—
866Dic118—21no—
867Dic118—42no—
868Dic118—42no—
869Dic118—81no—
870Dic118H(5,𝔽2)12yes—
871C8×C59—21no—
872C8×C59—21no—
873C8×C59—21no—
874C8×C59—21no—
875C8×C59—21no—
876C8×C59—21no—
877C8×C59—21no—
878C8×C59—21no—
879#61606—591nomaximal, Sylow
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—21no—
884C22×C59—21no—
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—21no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—82no—
895C22×C59—82no—
896C22×C59#57512yes—
897C22×C59C23×D411yescharacteristic
898C2×D59—22no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—41no—
906C2×D59—41no—
907C2×D59—41no—
908C2×D59—41no—
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—41no—
912C2×D59—41no—
913C2×D59—84no—
914C2×D59—84no—
915C2×D59—162no—
916C4×C59—21no—
917C4×C59—21no—
918C4×C59—21no—
919C4×C59—21no—
920C4×C59—21no—
921C4×C59—21no—
922C4×C59—21no—
923C4×C59—21no—
924C4×C59—21no—
925C4×C59C2×H(5,𝔽2)11yescharacteristic
926C4×C59C2×H(5,𝔽2)11yescharacteristic
927Dic59—22no—
928Dic59—41no—
929Dic59—41no—
930Dic59—41no—
931Dic59—41no—
932Dic59—41no—
933Dic59—41no—
934Dic59—41no—
935Dic59—41no—
936Dic59—41no—
937Dic59—41no—
938#3505—591no—
939D4×#41—591no—
940#3327—591no—
941#3323—591no—
942#3320—591no—
943#3318—591no—
944#3317—591no—
945#3315—591no—
946#3301—591no—
947#3297—591no—
948#3285—591no—
949#3282—591no—
950#3275—591no—
951#3273—591no—
952#3270—591no—
953#3268—591no—
954#3267—591no—
955#3265—591no—
956#3219—591no—
957#3212—591no—
958#3197—591no—
959#3196—591no—
960#3191—591no—
961#3188—591no—
962#3111—591no—
963#3102—591no—
964#3006—591no—
965#3005—591no—
966#3002—591no—
967C2×#452—591no—
968#2974D5911yescharacteristic, complemented
969C2×C59—22no—
970C2×C59—41no—
971C2×C59—41no—
972C2×C59—41no—
973C2×C59—41no—
974C2×C59#348411yescharacteristic
975C2×C59C2×#57511yescharacteristic
976C2×C59#358411yescharacteristic
977D59—42no—
978D59—81no—
979D59—81no—
980D59—81no—
981D59—81no—
982C22×#41—591no—
983C22×#41—591no—
984C2×#137—591no—
985C2×AGL(1,ℤ/8)—591no—
986C2×AGL(1,ℤ/8)—591no—
987C2×AGL(1,ℤ/8)—591no—
988C2×#135—591no—
989C2×#135—591no—
990C22×Q16—591no—
991C22×SD16—591no—
992#553—591no—
993#553—591no—
994#553—1181no—
995#553—1181no—
996#552—591no—
997#552—591no—
998#551—1181no—
999#551—1181no—
1000#550—591no—
1001D4×Q8—591no—
1002#548—591no—
1003#548—591no—
1004#548—591no—
1005#548—591no—
1006#547—591no—
1007#547—1181no—
1008#546—591no—
1009#546—591no—
1010#546—591no—
1011#546—591no—
1012#546—1181no—
1013#546—1181no—
1014D42—591no—
1015D42—1181no—
1016#539—1181no—
1017#538—1181no—
1018#534—1181no—
1019#532—591no—
1020#532—1181no—
1021#529—591no—
1022#529—591no—
1023#525—591no—
1024#525—591no—
1025#525—591no—
1026#525—591no—
1027#525—1181no—
1028#525—1181no—
1029C2×C22⋊Q8—591no—
1030C2×#121—591no—
1031#518—1181no—
1032C4×#41—591no—
1033C2×C4×D4—1181no—
1034C2×C4×D4C2×D5911yescharacteristic
1035#497—591no—
1036#496—591no—
1037#495—591no—
1038#495—591no—
1039#491—591no—
1040#490—591no—
1041#488—591no—
1042#488—591no—
1043#485—591no—
1044#485—591no—
1045#485—591no—
1046#485—591no—
1047#484—591no—
1048#484—591no—
1049#482—591no—
1050#482—591no—
1051#482—591no—
1052#482—591no—
1053#481—591no—
1054#481—591no—
1055#479—591no—
1056#479—591no—
1057#478—591no—
1058#478—591no—
1059#470—591no—
1060#470—591no—
1061#470—591no—
1062#469—591no—
1063#468—591no—
1064#468—591no—
1065#468—591no—
1066#468—591no—
1067#467—591no—
1068#466—591no—
1069#466—591no—
1070#466—591no—
1071#465—591no—
1072#465—591no—
1073#465—591no—
1074#465—591no—
1075#464—591no—
1076#464—591no—
1077#464—591no—
1078#464—591no—
1079#463—591no—
1080#463—591no—
1081#463—591no—
1082#463—591no—
1083#462—591no—
1084#461—591no—
1085#460—591no—
1086#459—591no—
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452—591no—
1092#452—591no—
1093#452—591no—
1094#452—591no—
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#452—591no—
1099#452—591no—
1100#452—591no—
1101#451—591no—
1102#451—591no—
1103#450—591no—
1104#450—591no—
1105#449—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#448—591no—
1116#448—591no—
1117#448—591no—
1118#448—591no—
1119#447—591no—
1120#447—591no—
1121#447—591no—
1122#447—591no—
1123#442—591no—
1124#441—591no—
1125#440—591no—
1126#440—591no—
1127C4×Q16—591no—
1128C4×SD16—591no—
1129C4×SD16—591no—
1130C4×D8—591no—
1131#436C2×D5911yescharacteristic, complemented
1132#436C2×D5911yescharacteristic, complemented
1133#435C2×D5911yescharacteristic, complemented
1134#435C2×D5911yescharacteristic, complemented
1135#435C2×D5911yescharacteristic, complemented
1136#435C2×D5911yescharacteristic, complemented
1137C8×D4C2×D5911yescharacteristic, complemented
1138C8×D4C2×D5911yescharacteristic, complemented
1139#432C2×D5911yescharacteristic, complemented
1140#431C2×D5911yescharacteristic, complemented
1141#419—591no—
1142#418—591no—
1143#417—591no—
1144#417—591no—
1145#416—591no—
1146#416—591no—
1147C2×#103—591no—
1148C2×#102—591no—
1149#407C2×D5911yescharacteristic, complemented
1150#407C2×D5911yescharacteristic, complemented
1151C2×C22⋊C8C2×D5911yescharacteristic, complemented
1152C2×C22⋊C8C2×D5911yescharacteristic, complemented
1153C59#6160611yescharacteristic, complemented, Sylow
1154C2×#41—591no—
1155C2×#41—591no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—591no—
1160C2×#41—591no—
1161C2×#41—591no—
1162C2×#41—591no—
1163C2×#41—1181no—
1164C2×#41—1181no—
1165C2×#41—1181no—
1166C2×#41—1181no—
1167C2×#41—2362no—
1168C2×#41—2362no—
1169C2×#41—2362no—
1170C2×#41—2362no—
1171C22×Q8—591no—
1172C22×Q8—591no—
1173C22×Q8—591no—
1174C22×D4—591no—
1175C22×D4—591no—
1176C22×D4—591no—
1177C22×D4—1181no—
1178C22×D4—1181no—
1179C22×D4—1181no—
1180C22×D4—1181no—
1181C22×D4D23611yescharacteristic
1182C23×C4—1181no—
1183C23×C4—1181no—
1184C23×C4C22×D5911yescharacteristic
1185C23×C4C22×D5911yescharacteristic
1186#137—2362no—
1187AGL(1,ℤ/8)—2362no—
1188AGL(1,ℤ/8)—2362no—
1189AGL(1,ℤ/8)—2362no—
1190#135—2362no—
1191#135—2362no—
1192C2×Q16—591no—
1193C2×Q16—591no—
1194C2×Q16—591no—
1195C2×Q16—591no—
1196C2×Q16—591no—
1197C2×Q16—591no—
1198C2×Q16—2362no—
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—2362no—
1212C2×D8—591no—
1213C2×D8—591no—
1214C2×D8—591no—
1215C2×D8—591no—
1216C2×D8—591no—
1217C2×D8—591no—
1218C2×M16C22×D5911yescharacteristic
1219C2×M16C22×D5911yescharacteristic
1220C2×M16C22×D5911yescharacteristic
1221C2×M16C22×D5911yescharacteristic
1222C22×C8C22×D5911yescharacteristic
1223C22×C8C22×D5911yescharacteristic
1224C22×C8C22×D5911yescharacteristic
1225C22×C8C22×D5911yescharacteristic
1226C4⋊Q8—591no—
1227C4⋊Q8—1181no—
1228#127—591no—
1229#127—1181no—
1230#126—1181no—
1231#126—1181no—
1232#126—1181no—
1233#126—1181no—
1234#126—1181no—
1235#126—1181no—
1236#125—591no—
1237#125—591no—
1238#125—1181no—
1239#125—1181no—
1240#124—591no—
1241#124—591no—
1242#124—591no—
1243#124—591no—
1244#124—1181no—
1245#124—1181no—
1246#124—1181no—
1247#124—1181no—
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—
1264C22⋊Q8—591no—
1265C22⋊Q8—591no—
1266C22⋊Q8—591no—
1267C22⋊Q8—591no—
1268C22⋊Q8—591no—
1269C22⋊Q8—591no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—591no—
1273C22⋊Q8—591no—
1274C22⋊Q8—1181no—
1275C22⋊Q8—1181no—
1276C22⋊Q8—1181no—
1277C22⋊Q8—1181no—
1278C22⋊Q8—1181no—
1279C22⋊Q8—1181no—
1280C22⋊Q8—1181no—
1281C22⋊Q8—1181no—
1282#121—591no—
1283#121—591no—
1284#121—591no—
1285#121—591no—
1286#121—591no—
1287#121—591no—
1288#121—591no—
1289#121—591no—
1290#121—591no—
1291#121—591no—
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#121—1181no—
1308#121—1181no—
1309#121—1181no—
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—
1319#120—1181no—
1320C4×Q8—591no—
1321C4×Q8—591no—
1322C4×Q8—591no—
1323C4×Q8—591no—
1324C4×D4—591no—
1325C4×D4—591no—
1326C4×D4—591no—
1327C4×D4—591no—
1328C4×D4—1181no—
1329C4×D4—1181no—
1330C4×D4—1181no—
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—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4—1181no—
1350C4×D4D23611yescharacteristic
1351C4×D4D23611yescharacteristic
1352C4×D4D23611yescharacteristic
1353C4×D4D23611yescharacteristic
1354C4×D4C22×D5911yescharacteristic
1355C4×D4C22×D5911yescharacteristic
1356C4×D4C22×D5911yescharacteristic
1357C4×D4C22×D5911yescharacteristic
1358#117—591no—
1359#117—591no—
1360#117—591no—
1361#117—1181no—
1362#117—1181no—
1363#117—1181no—
1364#117—1181no—
1365#117—1181no—
1366C2×C4⋊C4—591no—
1367C2×C4⋊C4—591no—
1368C2×C4⋊C4—1181no—
1369C2×C4⋊C4—1181no—
1370C2×C4⋊C4D23611yescharacteristic
1371C2×C22⋊C4—1181no—
1372C2×C22⋊C4—1181no—
1373C2×C22⋊C4—1181no—
1374C2×C22⋊C4—1181no—
1375C2×C22⋊C4—1181no—
1376C2×C22⋊C4—1181no—
1377C2×C22⋊C4D23611yescharacteristic
1378C2×C22⋊C4D23611yescharacteristic
1379C2×C42—1181no—
1380C2×C42C22×D5911yescharacteristic
1381#107—591no—
1382#107—591no—
1383#107—591no—
1384#107—591no—
1385#106—591no—
1386#106—591no—
1387#106—591no—
1388#106—591no—
1389C4⋊C8C22×D5911yescharacteristic
1390C4⋊C8C22×D5911yescharacteristic
1391C4⋊C8C22×D5911yescharacteristic
1392C4⋊C8C22×D5911yescharacteristic
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103—591no—
1398#103—591no—
1399#103—591no—
1400#103—591no—
1401#103—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
1425C22⋊C8C22×D5911yescharacteristic
1426C22⋊C8C22×D5911yescharacteristic
1427C22⋊C8C22×D5911yescharacteristic
1428C22⋊C8C22×D5911yescharacteristic
1429C22⋊C8C22×D5911yescharacteristic
1430C22⋊C8C22×D5911yescharacteristic
1431C22⋊C8C22×D5911yescharacteristic
1432C22⋊C8C22×D5911yescharacteristic
1433C22⋊C8C22×D5911yescharacteristic
1434C22⋊C8C22×D5911yescharacteristic
1435C22⋊C8C22×D5911yescharacteristic
1436C22⋊C8C22×D5911yescharacteristic
1437#97C22×D5911yescharacteristic
1438#97C22×D5911yescharacteristic
1439C4×C8C22×D5911yescharacteristic
1440C4×C8C22×D5911yescharacteristic
1441C24—1181no—
1442C24—1181no—
1443C24—1181no—
1444C24C2×D23611yescharacteristic
1445C24C2×D23611yescharacteristic
1446#41—1182no—
1447#41—1182no—
1448#41—1182no—
1449#41—1182no—
1450#41—1182no—
1451#41—1182no—
1452#41—2361no—
1453#41—2361no—
1454#41—2361no—
1455#41—2361no—
1456#41—2361no—
1457#41—2361no—
1458#41—2361no—
1459#41—2361no—
1460#41—2361no—
1461#41—2361no—
1462#41—2361no—
1463#41—2361no—
1464#41—2364no—
1465#41—2364no—
1466#41—2364no—
1467#41—2364no—
1468C2×Q8—591no—
1469C2×Q8—591no—
1470C2×Q8—591no—
1471C2×Q8—591no—
1472C2×Q8—591no—
1473C2×Q8—1182no—
1474C2×Q8—1182no—
1475C2×Q8—1181no—
1476C2×Q8—1181no—
1477C2×Q8—1181no—
1478C2×Q8—2361no—
1479C2×Q8—2361no—
1480C2×Q8—2361no—
1481C2×Q8—2361no—
1482C2×D4—42no—
1483C2×D4—591no—
1484C2×D4—591no—
1485C2×D4—591no—
1486C2×D4—591no—
1487C2×D4—591no—
1488C2×D4—1182no—
1489C2×D4—1182no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—2361no—
1515C2×D4—2361no—
1516C2×D4—2361no—
1517C2×D4—2361no—
1518C2×D4—2364no—
1519C2×D4—2364no—
1520C2×D4—2364no—
1521C2×D4—2364no—
1522C2×D4C2×D23611yescharacteristic
1523C2×D4C2×D23611yescharacteristic
1524C2×D4C2×D23611yescharacteristic
1525C2×D4C2×D23611yescharacteristic
1526C22×C4—41no—
1527C22×C4—41no—
1528C22×C4—41no—
1529C22×C4—41no—
1530C22×C4—1181no—
1531C22×C4—1181no—
1532C22×C4—1181no—
1533C22×C4—1181no—
1534C22×C4—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—2364no—
1549C22×C4—2364no—
1550C22×C4C2×D23611yescharacteristic
1551C22×C4C2×D23611yescharacteristic
1552C22×C4C2×D23611yescharacteristic
1553C22×C4C2×D23611yescharacteristic
1554C22×C4C2×D23611yescharacteristic
1555C22×C4C2×D23611yescharacteristic
1556C22×C4C2×D23611yescharacteristic
1557C22×C4C2×D23611yescharacteristic
1558C22×C4C23×D5911yescharacteristic
1559C22×C4C23×D5911yescharacteristic
1560C22×C4C23×D5911yescharacteristic
1561C22×C4C23×D5911yescharacteristic
1562C22×C4C23×D5911yescharacteristic
1563Q16—1182no—
1564Q16—1182no—
1565Q16—2361no—
1566Q16—2361no—
1567Q16—2361no—
1568Q16—2361no—
1569SD16—1182no—
1570SD16—1182no—
1571SD16—1182no—
1572SD16—1182no—
1573SD16—2361no—
1574SD16—2361no—
1575SD16—2361no—
1576SD16—2361no—
1577SD16—2361no—
1578SD16—2361no—
1579SD16—2361no—
1580SD16—2361no—
1581D8—1182no—
1582D8—1182no—
1583D8—2361no—
1584D8—2361no—
1585D8—2361no—
1586D8—2361no—
1587M16—41no—
1588M16—41no—
1589M16—41no—
1590M16—41no—
1591C2×C8—41no—
1592C2×C8—41no—
1593C2×C8—41no—
1594C2×C8—41no—
1595C2×C8C23×D5911yescharacteristic
1596C2×C8C23×D5911yescharacteristic
1597C2×C8C23×D5911yescharacteristic
1598C2×C8C23×D5911yescharacteristic
1599C2×C8C23×D5911yescharacteristic
1600C2×C8C23×D5911yescharacteristic
1601C2×C8C23×D5911yescharacteristic
1602C2×C8C23×D5911yescharacteristic
1603C4⋊C4—591no—
1604C4⋊C4—591no—
1605C4⋊C4—591no—
1606C4⋊C4—591no—
1607C4⋊C4—591no—
1608C4⋊C4—591no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4—1181no—
1613C4⋊C4—1181no—
1614C4⋊C4—1181no—
1615C4⋊C4—1181no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4C2×D23611yescharacteristic
1632C4⋊C4C2×D23611yescharacteristic
1633C4⋊C4C2×D23611yescharacteristic
1634C4⋊C4C2×D23611yescharacteristic
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—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4C2×D23611yescharacteristic
1671C22⋊C4C2×D23611yescharacteristic
1672C22⋊C4C2×D23611yescharacteristic
1673C22⋊C4C2×D23611yescharacteristic
1674C22⋊C4C2×D23611yescharacteristic
1675C22⋊C4C2×D23611yescharacteristic
1676C22⋊C4C2×D23611yescharacteristic
1677C22⋊C4C2×D23611yescharacteristic
1678C42—1181no—
1679C42—1181no—
1680C42—1181no—
1681C42—1181no—
1682C42—1181no—
1683C42—1181no—
1684C42—1181no—
1685C42C2×D23611yescharacteristic
1686C42C2×D23611yescharacteristic
1687C42C23×D5911yescharacteristic
1688C42C23×D5911yescharacteristic
1689C23—22no—
1690C23—41no—
1691C23—41no—
1692C23—41no—
1693C23—41no—
1694C23—41no—
1695C23—1181no—
1696C23—1181no—
1697C23—1181no—
1698C23—1181no—
1699C23—1181no—
1700C23—4721no—
1701C23—4721no—
1702C23—4721no—
1703C23—4721no—
1704C23—2362no—
1705C23—2362no—
1706C23—2362no—
1707C23—2362no—
1708C23—2362no—
1709C23C22×D23611yescharacteristic
1710C23C22×D23611yescharacteristic
1711C23C22×D23611yescharacteristic
1712C23C22×D23611yescharacteristic
1713C23C22×D23611yescharacteristic
1714Q8—592no—
1715Q8—1181no—
1716Q8—1181no—
1717Q8—1181no—
1718Q8—1181no—
1719Q8—1181no—
1720Q8—1181no—
1721Q8—1181no—
1722Q8—1181no—
1723Q8—1181no—
1724Q8—4721no—
1725Q8—2362no—
1726Q8—2362no—
1727D4—22no—
1728D4—22no—
1729D4—41no—
1730D4—41no—
1731D4—592no—
1732D4—1184no—
1733D4—1181no—
1734D4—1181no—
1735D4—1181no—
1736D4—1181no—
1737D4—1181no—
1738D4—1181no—
1739D4—1181no—
1740D4—1181no—
1741D4—1181no—
1742D4—4721no—
1743D4—4721no—
1744D4—4721no—
1745D4—4721no—
1746D4—4721no—
1747D4—4721no—
1748D4—4721no—
1749D4—4721no—
1750D4—2362no—
1751D4—2362no—
1752D4—2362no—
1753D4—2362no—
1754D4—2362no—
1755D4—2362no—
1756D4—2362no—
1757D4—2362no—
1758D4—2362no—
1759D4—2362no—
1760D4—2362no—
1761D4—2362no—
1762D4—2362no—
1763D4—2362no—
1764D4—2362no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—1184no—
1784C2×C4—1181no—
1785C2×C4—1181no—
1786C2×C4—1181no—
1787C2×C4—1181no—
1788C2×C4—1181no—
1789C2×C4—1181no—
1790C2×C4—1181no—
1791C2×C4—1181no—
1792C2×C4—1181no—
1793C2×C4—1181no—
1794C2×C4—1181no—
1795C2×C4—4721no—
1796C2×C4—4721no—
1797C2×C4—4721no—
1798C2×C4—4721no—
1799C2×C4—4721no—
1800C2×C4—4721no—
1801C2×C4—4721no—
1802C2×C4—2362no—
1803C2×C4—2362no—
1804C2×C4—2362no—
1805C2×C4—2362no—
1806C2×C4—2362no—
1807C2×C4—2362no—
1808C2×C4—2362no—
1809C2×C4—2362no—
1810C2×C4—2362no—
1811C2×C4—2362no—
1812C2×C4C22×D23611yescharacteristic
1813C2×C4C22×D23611yescharacteristic
1814C2×C4C22×D23611yescharacteristic
1815C2×C4C22×D23611yescharacteristic
1816C2×C4C22×D23611yescharacteristic
1817C2×C4C22×D23611yescharacteristic
1818C2×C4C22×D23611yescharacteristic
1819C2×C4C22×D23611yescharacteristic
1820C2×C4C22×D23611yescharacteristic
1821C2×C4C24×D5911yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—21no—
1827C8—21no—
1828C8—21no—
1829C8—21no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—21no—
1844C22—82no—
1845C22—82no—
1846C22—1182no—
1847C22—9442no—
1848C22—4724no—
1849C22—4724no—
1850C22—2361no—
1851C22—2361no—
1852C22—2361no—
1853C22—2361no—
1854C22—2361no—
1855C22—2361no—
1856C22—2361no—
1857C22—2361no—
1858C22—2361no—
1859C22—2361no—
1860C22—2361no—
1861C22—2361no—
1862C22—2361no—
1863C22—2361no—
1864C22#1683820212yes—
1865C22C23×D23611yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—21no—
1872C4—21no—
1873C4—21no—
1874C4—21no—
1875C4—1182no—
1876C4—2361no—
1877C4—2361no—
1878C4—2361no—
1879C4—2361no—
1880C4—2361no—
1881C4—2361no—
1882C4—2361no—
1883C4—2361no—
1884C4—2361no—
1885C4—2361no—
1886C4H(5,𝔽2)×D5911yescharacteristic
1887C4H(5,𝔽2)×D5911yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—41no—
1891C2—41no—
1892C2—41no—
1893C2—4721no—
1894C2—4721no—
1895C2—4721no—
1896C2—4721no—
1897C2—2362no—
1898C2#2143773211yescharacteristic
1899C2C2×#1683820211yescharacteristic
1900C2#2143887011yescharacteristic
subgroupG/H
centerC22C23×D236
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#2974C2
socleC22×C59C23×D4
hypercenter#2974D59
hypocenterC59#61606
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #2974

Complements

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

NH ≅ G/Ntype
1. #21437935C2semidirect
2. D4×#11745685C2semidirect
3. #21436366C2semidirect
4. #21436314C2semidirect
5. #21436269C2semidirect
6. #21436239C2semidirect
7. #21436224C2semidirect
8. #21436194C2semidirect
9. #21436000C2semidirect
10. #21435948C2semidirect
11. #21435839C2semidirect
12. #21435808C2semidirect
13. #21435732C2semidirect
14. #21435708C2semidirect
15. #21435671C2semidirect
16. #21435641C2semidirect
17. #21435626C2semidirect
18. #21435596C2semidirect
19. #21435135C2semidirect
20. #21435074C2semidirect
21. #21434938C2semidirect
22. #21434928C2semidirect
23. #21434889C2semidirect
24. #21434863C2semidirect
25. #21434207C2semidirect
26. #21434116C2semidirect
27. #21433350C2semidirect
28. #21433341C2semidirect
29. #21433318C2semidirect
30. C2×#16837566C2semidirect
31. C59×#2974C2semidirect
33. C22×#11745685C22semidirect
34. C2×#14273760C22semidirect
35. C2×#14273755C22semidirect
36. C2×#14273755C22semidirect
37. C2×#14273755C22semidirect
38. C2×#14273749C22semidirect
39. C2×#14273749C22semidirect
40. C22×Dic236C22semidirect
41. C22×#11745660C22semidirect
45. #16838098C22semidirect
46. #16838092C22semidirect
47. #16838092C22semidirect
51. D4×Dic118C22semidirect
54. #16838061C22semidirect
55. #16838061C22semidirect
59. #16838048C22semidirect
60. #16838048C22semidirect
61. #16838048C22semidirect
64. D4×D236C22semidirect
69. #16837952C22semidirect
71. #16837936C22semidirect
72. #16837936C22semidirect
74. #16837913C22semidirect
75. #16837913C22semidirect
76. #16837913C22semidirect
79. C2×#14273706C22semidirect
80. C2×#14273701C22semidirect
82. C4×#11745685C22semidirect
84. #16837796C22semidirect
85. #16837791C22semidirect
86. #16837786C22semidirect
87. #16837786C22semidirect
88. #16837771C22semidirect
89. #16837767C22semidirect
90. #16837757C22semidirect
91. #16837757C22semidirect
92. #16837744C22semidirect
93. #16837744C22semidirect
94. #16837744C22semidirect
95. #16837744C22semidirect
96. #16837738C22semidirect
97. #16837738C22semidirect
98. #16837727C22semidirect
99. #16837727C22semidirect
100. #16837727C22semidirect
101. #16837727C22semidirect
102. #16837721C22semidirect
103. #16837721C22semidirect
104. #16837710C22semidirect
105. #16837710C22semidirect
106. #16837703C22semidirect
107. #16837703C22semidirect
108. #16837660C22semidirect
109. #16837660C22semidirect
110. #16837660C22semidirect
111. #16837655C22semidirect
112. #16837648C22semidirect
113. #16837648C22semidirect
114. #16837648C22semidirect
115. #16837648C22semidirect
116. #16837643C22semidirect
117. #16837638C22semidirect
118. #16837638C22semidirect
119. #16837638C22semidirect
120. #16837631C22semidirect
121. #16837631C22semidirect
122. #16837631C22semidirect
123. #16837631C22semidirect
124. #16837625C22semidirect
125. #16837625C22semidirect
126. #16837625C22semidirect
127. #16837625C22semidirect
128. #16837618C22semidirect
129. #16837618C22semidirect
130. #16837618C22semidirect
131. #16837618C22semidirect
132. #16837613C22semidirect
133. #16837608C22semidirect
134. #16837603C22semidirect
135. #16837598C22semidirect
136. #16837566C22semidirect
137. #16837566C22semidirect
138. #16837566C22semidirect
139. #16837566C22semidirect
140. #16837566C22semidirect
141. #16837566C22semidirect
142. #16837566C22semidirect
143. #16837566C22semidirect
144. #16837566C22semidirect
145. #16837566C22semidirect
146. #16837566C22semidirect
147. #16837566C22semidirect
148. #16837566C22semidirect
149. #16837566C22semidirect
150. #16837560C22semidirect
151. #16837560C22semidirect
152. #16837555C22semidirect
153. #16837555C22semidirect
156. #16837549C22semidirect
157. #16837549C22semidirect
158. #16837549C22semidirect
159. #16837549C22semidirect
160. #16837549C22semidirect
161. #16837549C22semidirect
162. #16837549C22semidirect
163. #16837549C22semidirect
164. #16837543C22semidirect
165. #16837543C22semidirect
166. #16837543C22semidirect
167. #16837543C22semidirect
168. #16837538C22semidirect
169. #16837538C22semidirect
170. #16837538C22semidirect
171. #16837538C22semidirect
172. #16837515C22semidirect
173. #16837510C22semidirect
174. #16837504C22semidirect
175. #16837504C22semidirect
176. C4×Dic236C22semidirect
177. C4×#11745660C22semidirect
178. C4×#11745660C22semidirect
179. C4×D472C22semidirect
180. #16837412C22semidirect
181. #16837408C22semidirect
182. #16837404C22semidirect
183. #16837404C22semidirect
184. #16837399C22semidirect
185. #16837399C22semidirect
186. C2×#14273652C22semidirect
187. C2×#14273649C22semidirect
189. C59×#436C22semidirect
190. C59×#436C22semidirect
191. C59×#435C22semidirect
192. C59×#435C22semidirect
193. C59×#435C22semidirect
194. C59×#435C22semidirect
195. C8×D4×C59C22semidirect
196. C8×D4×C59C22semidirect
197. C59×#432C22semidirect
198. C59×#431C22semidirect
199. C59×#407C22semidirect
200. C59×#407C22semidirect
201. C2×C22⋊C8×C59C22semidirect
202. C2×C22⋊C8×C59C22semidirect
968. #2974D59semidirect
1131. #436C2×D59semidirect
1132. #436C2×D59semidirect
1133. #435C2×D59semidirect
1134. #435C2×D59semidirect
1135. #435C2×D59semidirect
1136. #435C2×D59semidirect
1137. C8×D4C2×D59semidirect
1138. C8×D4C2×D59semidirect
1139. #432C2×D59semidirect
1140. #431C2×D59semidirect
1149. #407C2×D59semidirect
1150. #407C2×D59semidirect
1151. C2×C22⋊C8C2×D59semidirect
1152. C2×C22⋊C8C2×D59semidirect
1153. C59#61606semidirect

Maximal subgroups

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

subgroupindex
#214379352
D4×#117456852
#214363662
#214363142
#214362692
#214362392
#214362242
#214361942
#214360002
#214359482
#214358392
#214358082
#214357322
#214357082
#214356712
#214356412
#214356262
#214355962
#214351352
#214350742
#214349382
#214349282
#214348892
#214348632
#214342072
#214341162
#214333502
#214333412
#214333182
C2×#168375662
C59×#29742
#6160659