Finite Group Databasebeta

← #29469421

Subgroups — #29469421

Order 15104.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437895C211yesmaximal, characteristic, complemented
2#21437891C211yesmaximal, characteristic, complemented
3#21437056C211yesmaximal, characteristic, complemented
4#21437055C211yesmaximal, characteristic, complemented
5#21437054C211yesmaximal, characteristic, complemented
6#21437053C211yesmaximal, characteristic, complemented
7#21437052C211yesmaximal, characteristic, complemented
8#21437051C211yesmaximal, characteristic, complemented
9#21437050C211yesmaximal, characteristic, complemented
10#21437049C211yesmaximal, characteristic, complemented
11#21437000C211yesmaximal, characteristic, complemented
12#21436996C211yesmaximal, characteristic, complemented
13#21436994C211yesmaximal, characteristic, complemented
14#21436992C211yesmaximal, characteristic, complemented
15#21436991C211yesmaximal, characteristic, complemented
16#21436990C211yesmaximal, characteristic, complemented
17#21436990C211yesmaximal, characteristic, complemented
18#21434623C211yesmaximal, characteristic, complemented
19#21434621C211yesmaximal, characteristic, complemented
20#21434617C211yesmaximal, characteristic, complemented
21#21433924C211yesmaximal, characteristic, complemented
22#21433922C211yesmaximal, characteristic, complemented
23#21433922C211yesmaximal, characteristic, complemented
24#21433920C211yesmaximal, characteristic, complemented
25#21433894C211yesmaximal, characteristic, complemented
26#21433891C211yesmaximal, characteristic, complemented
27#21433032C211yesmaximal, characteristic, complemented
28#21432945C211yesmaximal, characteristic
29#21432943C211yesmaximal, characteristic
30#442×D59C211yesmaximal, characteristic
31C59×#3384C211yesmaximal, characteristic, complemented
32C2×D8×D59C2211yescharacteristic
33#16838113C2211yescharacteristic, complemented
34#16838113C2211yescharacteristic, complemented
35#16838112C2211yescharacteristic, complemented
36#16838112C2211yescharacteristic, complemented
37#16838111C2211yescharacteristic, complemented
38#16838111C2211yescharacteristic, complemented
39#16838111C2211yescharacteristic, complemented
40#16838111C2211yescharacteristic, complemented
41#16838110—21no—
42#16838109C2211yescharacteristic, complemented
43#16838108C2211yescharacteristic, complemented
44#16838108C2211yescharacteristic, complemented
45#16838107—21no—
46#16838106—21no—
47#16838106—21no—
48#16838106—21no—
49#16838106—21no—
50D4×Dic118C2211yescharacteristic, complemented
51#16838067C2211yescharacteristic, complemented
52#16838067C2211yescharacteristic, complemented
53Q8×C22⋊D59—21no—
54#16838065—21no—
55#16838032C2211yescharacteristic
56#16838029C2211yescharacteristic
57#16838029C2211yescharacteristic
58#16838029C2211yescharacteristic
59#16838027—21no—
60#16838027—21no—
61#16838027—21no—
62#16838027—21no—
63#16837958C2211yescharacteristic
64#16837957C2211yescharacteristic
65#16837956C2211yescharacteristic
66C2×#14273705—21no—
67C2×#14273703—21no—
68C22⋊Q8×D59—21no—
69C22⋊Q8×D59—21no—
70#16837874C2211yescharacteristic
71#16837874C2211yescharacteristic
72#16837874C2211yescharacteristic
73#16837874C2211yescharacteristic
74C4×D4×D59C2211yescharacteristic
75C4×D4×D59C2211yescharacteristic
76#16837812C2211yescharacteristic, complemented
77#16837811C2211yescharacteristic, complemented
78#16837811C2211yescharacteristic, complemented
79#16837810C2211yescharacteristic, complemented
80#16837810C2211yescharacteristic, complemented
81#16837810C2211yescharacteristic, complemented
82#16837809C2211yescharacteristic, complemented
83#16837809C2211yescharacteristic, complemented
84#16837809C2211yescharacteristic, complemented
85#16837809C2211yescharacteristic, complemented
86#16837809C2211yescharacteristic, complemented
87#16837808C2211yescharacteristic, complemented
88#16837808C2211yescharacteristic, complemented
89#16837808C2211yescharacteristic, complemented
90#16837804C2211yescharacteristic, complemented
91#16837803C2211yescharacteristic, complemented
92#16837802C2211yescharacteristic, complemented
93#16837801C2211yescharacteristic, complemented
94#16837799C2211yescharacteristic, complemented
95#16837799C2211yescharacteristic, complemented
96#16837798C2211yescharacteristic, complemented
97#16837705C2211yescharacteristic, complemented
98#16837705C2211yescharacteristic, complemented
99#16837704C2211yescharacteristic, complemented
100#16837704C2211yescharacteristic, complemented
101#16837703C2211yescharacteristic, complemented
102#16837703C2211yescharacteristic, complemented
103#16837703C2211yescharacteristic, complemented
104#16837703C2211yescharacteristic, complemented
105#16837702C2211yescharacteristic, complemented
106#16837702C2211yescharacteristic, complemented
107#16837702C2211yescharacteristic, complemented
108#16837702C2211yescharacteristic, complemented
109#16837701C2211yescharacteristic, complemented
110#16837701C2211yescharacteristic, complemented
111#16837701C2211yescharacteristic, complemented
112#16837701C2211yescharacteristic, complemented
113#16837700C2211yescharacteristic, complemented
114#16837700C2211yescharacteristic, complemented
115#16837700C2211yescharacteristic, complemented
116#16837700C2211yescharacteristic, complemented
117#16837699C2211yescharacteristic, complemented
118#16837699C2211yescharacteristic, complemented
119#16837692C2211yescharacteristic, complemented
120#16837691C2211yescharacteristic, complemented
121#16837691C2211yescharacteristic, complemented
122#16837691C2211yescharacteristic, complemented
123#16837691C2211yescharacteristic, complemented
124#16837690C2211yescharacteristic, complemented
125#16837690C2211yescharacteristic, complemented
126#16837689C2211yescharacteristic, complemented
127#16837689C2211yescharacteristic, complemented
128#16837683C2211yescharacteristic, complemented
129#16837683C2211yescharacteristic, complemented
130#16837682C2211yescharacteristic, complemented
131#16837681C2211yescharacteristic, complemented
132#16837681C2211yescharacteristic, complemented
133#16837680C2211yescharacteristic, complemented
134#16837680C2211yescharacteristic, complemented
135#16837680C2211yescharacteristic, complemented
136#16837680C2211yescharacteristic, complemented
137#16837679C2211yescharacteristic, complemented
138#16837679C2211yescharacteristic, complemented
139#16837533C2211yescharacteristic, complemented
140#16837532C2211yescharacteristic, complemented
141#16837531C2211yescharacteristic, complemented
142#16837531C2211yescharacteristic, complemented
143#16837530C2211yescharacteristic, complemented
144#16837530C2211yescharacteristic, complemented
145#16837529C2211yescharacteristic, complemented
146#16837515C2211yescharacteristic
147#16837515C2211yescharacteristic
148#16837514C2211yescharacteristic
149#16837514C2211yescharacteristic
150#16837513C2211yescharacteristic
151#16837513C2211yescharacteristic
152#16837512C2211yescharacteristic
153#16837512C2211yescharacteristic
154#16837512C2211yescharacteristic
155#16837512C2211yescharacteristic
156#16837511C2211yescharacteristic
157#16837511C2211yescharacteristic
158#16837511C2211yescharacteristic
159#16837511C2211yescharacteristic
160C4×D472C2211yescharacteristic
161D8×Dic59C2211yescharacteristic
162#16837484C2211yescharacteristic
163C4×#11745669C2211yescharacteristic
164C4×#11745669C2211yescharacteristic
165#16837482C2211yescharacteristic
166#16837482C2211yescharacteristic
167#16837443C2211yescharacteristic
168#16837441C2211yescharacteristic
169#16837441C2211yescharacteristic
170#16837441C2211yescharacteristic
171#16837439C2211yescharacteristic
172#16837439C2211yescharacteristic
173#16837437C2211yescharacteristic
174#16837437C2211yescharacteristic
175#106×D59C2211yescharacteristic
176#16837427C2211yescharacteristic
177#16837427C2211yescharacteristic
178#16837424C2211yescharacteristic
179#16837405C2211yescharacteristic
180#16837405C2211yescharacteristic
181#16837405C2211yescharacteristic
182#16837405C2211yescharacteristic
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic
185#16837359C2211yescharacteristic
186#16837356C2211yescharacteristic
187#97×D59C2211yescharacteristic
188C59×#554C2211yescharacteristic, complemented
189D4×Q8×C59C2211yescharacteristic, complemented
190C59×#501C2211yescharacteristic, complemented
191C59×#501C2211yescharacteristic, complemented
192C59×#498C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#478C2211yescharacteristic, complemented
195C59×#476C2211yescharacteristic, complemented
196C59×#476C2211yescharacteristic, complemented
197C59×#476C2211yescharacteristic, complemented
198C59×#474C2211yescharacteristic, complemented
199C59×#446C2211yescharacteristic, complemented
200C59×#442C2211yescharacteristic
201C59×#442C2211yescharacteristic
202C4×D8×C59C2211yescharacteristic
203C22×Dic118—21no—
204C2×Q8×D59—21no—
205C2×Q8×D59—21no—
206C2×D4×D59C2311yescharacteristic
207C2×D4×D59C2311yescharacteristic
208C22×C4×D59—21no—
209C22×C4×D59—21no—
210C2×D472C2311yescharacteristic
211C2×#11745669C2311yescharacteristic
212C2×#11745669C2311yescharacteristic
213D8×D59Q818yescomplemented
214C2×#11745659C2311yescharacteristic
215C2×#11745659C2311yescharacteristic
216C2×C8×D59C2311yescharacteristic
217C2×C8×D59C2311yescharacteristic
218#14273727C2311yescharacteristic
219#14273727C2311yescharacteristic
220#14273726—21no—
221#14273726D411yescharacteristic
222#14273726C2311yescharacteristic
223#14273726C2311yescharacteristic
224#14273726C2311yescharacteristic
225#14273726C2311yescharacteristic
226#14273726C2311yescharacteristic
227#14273726C2311yescharacteristic
228#14273725—21no—
229#14273725—21no—
230#14273725—21no—
231#14273725D411yescharacteristic
232#14273719C2311yescharacteristic
233#14273719C2311yescharacteristic
234#14273719C2311yescharacteristic
235#14273719C2311yescharacteristic
236#14273718C2311yescharacteristic
237#14273718C2311yescharacteristic
238#14273718C2311yescharacteristic
239#14273718C2311yescharacteristic
240#14273718C2311yescharacteristic
241#14273718C2311yescharacteristic
242#14273717—21no—
243#14273717—21no—
244#14273717—21no—
245#14273717—21no—
246#14273717D411yescharacteristic
247#14273717D411yescharacteristic
248#14273707—21no—
249#14273707—21no—
250#14273707—21no—
251#14273707—21no—
252#14273707—21no—
253#14273707—21no—
254#14273707D411yescharacteristic
255#14273706—21no—
256#14273706—21no—
257#14273706—21no—
258#14273706—21no—
259#14273706—21no—
260#14273706—21no—
261#14273705—21no—
262#14273705—21no—
263#14273705—21no—
264#14273705—21no—
265#14273705—21no—
266#14273705—21no—
267#14273705—21no—
268#14273705—21no—
269#14273705—21no—
270#14273705—21no—
271#14273705—21no—
272#14273705—21no—
273#14273705—21no—
274#14273705—21no—
275#14273705—21no—
276#14273705—21no—
277#14273705—21no—
278#14273705—21no—
279#14273705D411yescharacteristic
280#14273705D411yescharacteristic
281#14273704—21no—
282#14273704—21no—
283#14273704—21no—
284#14273704—21no—
285#14273704—21no—
286#14273704—21no—
287#14273704—21no—
288#14273704—21no—
289#14273704—21no—
290#14273704—21no—
291#14273704—21no—
292#14273704—21no—
293#14273703—21no—
294#14273703—21no—
295#14273703—21no—
296#14273703—21no—
297#14273703—21no—
298#14273703—21no—
299#14273703—21no—
300#14273703—21no—
301#14273703—21no—
302#14273703—21no—
303#14273703—21no—
304#14273703—21no—
305#14273703D411yescharacteristic
306Q8×Dic59—21no—
307C4×Dic118C2311yescharacteristic
308C4×Dic118C2311yescharacteristic
309C4×Dic118C2311yescharacteristic
310#14273692—21no—
311#14273692—21no—
312#14273692—21no—
313C4×D236C2311yescharacteristic
314C4×D236C2311yescharacteristic
315C4×D236C2311yescharacteristic
316C4×D236C2311yescharacteristic
317C4×D236C2311yescharacteristic
318C4×D236C2311yescharacteristic
319D4×Dic59C2311yescharacteristic
320D4×Dic59C2311yescharacteristic
321D4×Dic59C2311yescharacteristic
322D4×Dic59C2311yescharacteristic
323D4×Dic59C2311yescharacteristic
324D4×Dic59C2311yescharacteristic
325#14273689C2311yescharacteristic
326#14273689C2311yescharacteristic
327#14273689C2311yescharacteristic
328#14273689C2311yescharacteristic
329#14273689C2311yescharacteristic
330#14273689C2311yescharacteristic
331C4×C22⋊D59—21no—
332C4×C22⋊D59—21no—
333C4×C22⋊D59—21no—
334C4×C22⋊D59—21no—
335C4×C22⋊D59—21no—
336C4×C22⋊D59—21no—
337(C22⋊D59)⋊C4—21no—
338(C22⋊D59)⋊C4—21no—
339(C22⋊D59)⋊C4—21no—
340(C22⋊D59)⋊C4—21no—
341(C22⋊D59)⋊C4—21no—
342(C22⋊D59)⋊C4—21no—
343#14273685C2311yescharacteristic
344#14273685C2311yescharacteristic
345#14273685C2311yescharacteristic
346#14273685C2311yescharacteristic
347#14273684C2311yescharacteristic
348#14273684C2311yescharacteristic
349C2×C4⋊Dic59—21no—
350C2×Dic59⋊C4—21no—
351C2×Dic59⋊C4—21no—
352C2×Dic59⋊C4—21no—
353C2×Dic59⋊C4—21no—
354C4⋊C4×D59—21no—
355C4⋊C4×D59—21no—
356C4⋊C4×D59—21no—
357C4⋊C4×D59—21no—
358C4⋊C4×D59—21no—
359C4⋊C4×D59—21no—
360C4⋊C4×D59C2311yescharacteristic
361C4⋊C4×D59C2311yescharacteristic
362C2×(C2×D59)⋊C4—21no—
363C2×(C2×D59)⋊C4—21no—
364C2×(C2×D59)⋊C4—21no—
365C2×(C2×D59)⋊C4—21no—
366C22⋊C4×D59—21no—
367C22⋊C4×D59—21no—
368C22⋊C4×D59—21no—
369C22⋊C4×D59—21no—
370C22⋊C4×D59—21no—
371C22⋊C4×D59—21no—
372C42×D59C2311yescharacteristic
373#14273661C2311yescharacteristic
374#14273661C2311yescharacteristic
375#14273661C2311yescharacteristic
376#14273661C2311yescharacteristic
377#14273661C2311yescharacteristic
378#14273660C2311yescharacteristic
379#14273660C2311yescharacteristic
380#14273660C2311yescharacteristic
381#14273660C2311yescharacteristic
382#14273660C2311yescharacteristic
383#14273660C2311yescharacteristic
384#14273660C2311yescharacteristic
385#14273660C2311yescharacteristic
386#14273659C2311yescharacteristic
387#14273659C2311yescharacteristic
388#14273659C2311yescharacteristic
389#14273659C2311yescharacteristic
390#14273658C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400C4⋊(C59⋊C8)C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273638C2311yescharacteristic
428#14273638C2311yescharacteristic
429#14273637C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433C4×C59⋊C8C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C22×Q8×C59—21no—
437C2×D8×C59C2311yescharacteristic
438C4⋊Q8×C59C2311yescharacteristic
439C4⋊Q8×C59C2311yescharacteristic
440C4⋊Q8×C59C2311yescharacteristic
441C4⋊Q8×C59C2311yescharacteristic
442#125×C59C2311yescharacteristic
443#125×C59C2311yescharacteristic
444C22⋊Q8×C59—21no—
445C22⋊Q8×C59—21no—
446C22⋊Q8×C59—21no—
447C22⋊Q8×C59—21no—
448C22⋊Q8×C59—21no—
449C22⋊Q8×C59—21no—
450C4×Q8×C59C2311yescharacteristic
451C4×D4×C59C2311yescharacteristic
452C4×D4×C59C2311yescharacteristic
453C4×D4×C59C2311yescharacteristic
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C2×C4⋊C4×C59—21no—
458#107×C59C2311yescharacteristic
459#107×C59C2311yescharacteristic
460#107×C59C2311yescharacteristic
461#106×C59C2311yescharacteristic
462#106×C59C2311yescharacteristic
463#106×C59C2311yescharacteristic
464#106×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469C4⋊C8×C59C2311yescharacteristic
470#102×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#97×C59C2311yescharacteristic
477#97×C59C2311yescharacteristic
478C4×C8×C59C2311yescharacteristic
479C23×D59—21no—
480C23×D59—21no—
481C2×Q8×C59—21no—
482C2×Q8×C59—21no—
483C2×Q8×C59—21no—
484C2×Q8×C59—21no—
485C2×Q8×C59—82no—
486C2×Q8×C59C2×D411yescharacteristic
487C2×D4×C59C2411yescharacteristic
488C2×D4×C59C2411yescharacteristic
489C22×C4×C59—21no—
490C22×C4×C59—21no—
491C22×C4×C59—21no—
492C22×C4×C59—21no—
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C2×C22⋊D59—21no—
496C2×C22⋊D59—21no—
497C22×Dic59—21no—
498C22×Dic59—21no—
499C22×Dic59—21no—
500C22×Dic59—21no—
501C22×Dic59—21no—
502C22×Dic59—21no—
503Q8×D59—82no—
504Q8×D59—82no—
505D4×D59—22no—
506D4×D59—22no—
507D4×D59C2×Q814yescomplemented
508D4×D59C2×Q814yescomplemented
509C2×D236C2411yescharacteristic
510C2×D236C2411yescharacteristic
511C2×C4×D59—21no—
512C2×C4×D59—21no—
513C2×C4×D59—21no—
514C2×C4×D59—21no—
515C2×C4×D59—21no—
516C2×C4×D59—21no—
517C2×C4×D59—21no—
518C2×C4×D59—21no—
519C2×C4×D59—21no—
520C2×C4×D59—21no—
521C2×C4×D59—21no—
522C2×C4×D59—21no—
523C2×C4×D59—21no—
524C2×C4×D59—21no—
525C2×C4×D59—82no—
526C2×C4×D59—82no—
527C2×C4×D59C2×D411yescharacteristic
528C2×C4×D59C2×D411yescharacteristic
529C2×C4×D59C2411yescharacteristic
530C2×Dic118—21no—
531C2×Dic118—21no—
532C2×Dic118—21no—
533C2×Dic118—21no—
534C2×Dic118—21no—
535C2×Dic118—21no—
536C2×Dic118—21no—
537C2×Dic118—21no—
538C2×Dic118—82no—
539C2×Dic118C2×D411yescharacteristic
540C2×Dic118C2×D411yescharacteristic
541C2×Dic118C2×D411yescharacteristic
542D8×C59C2×Q814yescomplemented
543C2×C8×C59C2411yescharacteristic
544C2×C8×C59C2411yescharacteristic
545C2×C8×C59C2411yescharacteristic
546C2×C8×C59C2411yescharacteristic
547C4⋊C4×C59—21no—
548C4⋊C4×C59—21no—
549C4⋊C4×C59—21no—
550C4⋊C4×C59—21no—
551C4⋊C4×C59—21no—
552C4⋊C4×C59—21no—
553C4⋊C4×C59—21no—
554C4⋊C4×C59—21no—
555C4⋊C4×C59C2×D411yescharacteristic
556C4⋊C4×C59C2×D411yescharacteristic
557C4⋊C4×C59C2×D411yescharacteristic
558C4⋊C4×C59C2411yescharacteristic
559C4⋊C4×C59C2411yescharacteristic
560C4⋊C4×C59C2411yescharacteristic
561C4⋊C4×C59C2411yescharacteristic
562C4⋊C4×C59C2411yescharacteristic
563C4⋊C4×C59C2411yescharacteristic
564C22⋊C4×C59—21no—
565C22⋊C4×C59—21no—
566C22⋊C4×C59—21no—
567C22⋊C4×C59—21no—
568C22⋊C4×C59—21no—
569C22⋊C4×C59—21no—
570C42×C59C2411yescharacteristic
571C42×C59C2411yescharacteristic
572C42×C59C2411yescharacteristic
573C22⋊Dic59—21no—
574C22⋊Dic59—21no—
575C22⋊Dic59—21no—
576C22⋊Dic59—21no—
577C22⋊Dic59—21no—
578C22⋊Dic59—21no—
579#11745669C2×Q814yescomplemented
580#11745669C2×Q814yescomplemented
581(C2×D59)⋊C4—21no—
582(C2×D59)⋊C4—21no—
583(C2×D59)⋊C4—21no—
584(C2×D59)⋊C4—21no—
585(C2×D59)⋊C4—21no—
586(C2×D59)⋊C4—21no—
587(C2×D59)⋊C4—21no—
588(C2×D59)⋊C4—21no—
589(C2×D59)⋊C4—21no—
590(C2×D59)⋊C4—21no—
591(C2×D59)⋊C4—21no—
592(C2×D59)⋊C4—21no—
593(C2×D59)⋊C4—21no—
594(C2×D59)⋊C4—21no—
595(C2×D59)⋊C4—21no—
596(C2×D59)⋊C4—21no—
597(C2×D59)⋊C4C2×D411yescharacteristic
598(C2×D59)⋊C4C2×D411yescharacteristic
599(C2×D59)⋊C4C2×D411yescharacteristic
600(C2×D59)⋊C4C2×D411yescharacteristic
601C4⋊Dic59—21no—
602C4⋊Dic59—21no—
603C4⋊Dic59—21no—
604C4⋊Dic59—21no—
605C4⋊Dic59—21no—
606C4⋊Dic59—21no—
607C4⋊Dic59—21no—
608C4⋊Dic59—21no—
609C4⋊Dic59C2×D411yescharacteristic
610C4⋊Dic59C2×D411yescharacteristic
611C4⋊Dic59C2×D411yescharacteristic
612C4⋊Dic59C2411yescharacteristic
613C4⋊Dic59C2411yescharacteristic
614C4⋊Dic59C2411yescharacteristic
615C4⋊Dic59C2411yescharacteristic
616C4⋊Dic59C2411yescharacteristic
617C4⋊Dic59C2411yescharacteristic
618Dic59⋊C4—21no—
619Dic59⋊C4—21no—
620Dic59⋊C4—21no—
621Dic59⋊C4—21no—
622Dic59⋊C4—21no—
623Dic59⋊C4—21no—
624Dic59⋊C4—21no—
625Dic59⋊C4—21no—
626Dic59⋊C4—21no—
627Dic59⋊C4—21no—
628Dic59⋊C4—21no—
629Dic59⋊C4—21no—
630Dic59⋊C4—21no—
631Dic59⋊C4—21no—
632Dic59⋊C4—21no—
633Dic59⋊C4—21no—
634Dic59⋊C4—21no—
635Dic59⋊C4—21no—
636Dic59⋊C4—21no—
637Dic59⋊C4—21no—
638Dic59⋊C4—21no—
639Dic59⋊C4—21no—
640Dic59⋊C4C2×D411yescharacteristic
641Dic59⋊C4C2×D411yescharacteristic
642Dic59⋊C4C2×D411yescharacteristic
643Dic59⋊C4C2×D411yescharacteristic
644Dic59⋊C4C2×D411yescharacteristic
645Dic59⋊C4C2×D411yescharacteristic
646Dic59⋊C4C2×D411yescharacteristic
647Dic59⋊C4C2×D411yescharacteristic
648Dic59⋊C4C2×D411yescharacteristic
649Dic59⋊C4C2×D411yescharacteristic
650C4×Dic59—21no—
651C4×Dic59—21no—
652C4×Dic59—21no—
653C4×Dic59—21no—
654C4×Dic59C2×D411yescharacteristic
655C4×Dic59C2×D411yescharacteristic
656C4×Dic59C2411yescharacteristic
657C4×Dic59C2411yescharacteristic
658C4×Dic59C2411yescharacteristic
659C2×C59⋊C8C2411yescharacteristic
660C2×C59⋊C8C2411yescharacteristic
661C2×C59⋊C8C2411yescharacteristic
662C2×C59⋊C8C2411yescharacteristic
663D472C2×Q814yescomplemented
664#11745659—22no—
665#11745659—22no—
666C8×D59—22no—
667C8×D59C2×Q814yescomplemented
668C23×C59—21no—
669C23×C59—21no—
670C22×D59—21no—
671C22×D59—21no—
672C22×D59—24no—
673C22×D59—24no—
674C22×D59—81no—
675C22×D59—81no—
676C22×D59—81no—
677C22×D59—81no—
678C22×D59C22×D411yescharacteristic
679Q8×C59—41no—
680Q8×C59—42no—
681Q8×C59—81no—
682Q8×C59—81no—
683Q8×C59—81no—
684D4×C59—21no—
685D4×C59—21no—
686D4×C59C22×Q812yes—
687D4×C59C22×Q812yes—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—42no—
695C2×C4×C59—81no—
696C2×C4×C59—81no—
697C2×C4×C59—81no—
698C2×C4×C59—81no—
699C2×C4×C59—81no—
700C2×C4×C59C22×D411yescharacteristic
701C2×C4×C59C22×D411yescharacteristic
702C2×C4×C59C22×D411yescharacteristic
703C2×C4×C59C22×D411yescharacteristic
704C2×C4×C59C22×D411yescharacteristic
705C2×C4×C59C22×D411yescharacteristic
706C2×C4×C59C2511yescharacteristic
707C22⋊D59—24no—
708C22⋊D59—24no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—42no—
716C2×Dic59—81no—
717C2×Dic59—81no—
718C2×Dic59—81no—
719C2×Dic59—81no—
720C2×Dic59—81no—
721C2×Dic59C22×D411yescharacteristic
722C2×Dic59C22×D411yescharacteristic
723C2×Dic59C22×D411yescharacteristic
724C2×Dic59C22×D411yescharacteristic
725C2×Dic59C22×D411yescharacteristic
726C2×Dic59C22×D411yescharacteristic
727C2×Dic59C22×D411yescharacteristic
728D236—21no—
729D236—21no—
730D236C22×Q812yes—
731D236C22×Q812yes—
732C4×D59—41no—
733C4×D59—41no—
734C4×D59—42no—
735C4×D59—42no—
736C4×D59—81no—
737C4×D59—81no—
738C4×D59—81no—
739C4×D59—81no—
740C4×D59—81no—
741C4×D59—81no—
742C4×D59—81no—
743C4×D59—81no—
744C4×D59—81no—
745C4×D59—81no—
746C4×D59—81no—
747C4×D59—81no—
748C4×D59C22×Q812yes—
749C4×D592−1+412yes—
750Dic118—41no—
751Dic118—41no—
752Dic118—41no—
753Dic118—42no—
754Dic118—81no—
755Dic118—81no—
756Dic118—81no—
757Dic118—81no—
758Dic118—81no—
759Dic118—81no—
760Dic118—81no—
761C8×C59—21no—
762C8×C59—21no—
763C8×C59—21no—
764C8×C59C22×Q812yes—
765C59⋊C8—21no—
766C59⋊C8—21no—
767C59⋊C8—21no—
768C59⋊C8C22×Q812yes—
769#61378—591nomaximal, Sylow
770C22×C59—22no—
771C22×C59—22no—
772C22×C59—41no—
773C22×C59—41no—
774C22×C59—41no—
775C22×C59—41no—
776C22×C59C23×D411yescharacteristic
777C2×D59—21no—
778C2×D59—21no—
779C2×D59—22no—
780C2×D59—22no—
781C2×D59—41no—
782C2×D59—41no—
783C2×D59—41no—
784C2×D59—41no—
785C2×D59—84no—
786C2×D59—84no—
787C2×D59D4×Q812yes—
788C4×C59—21no—
789C4×C59—21no—
790C4×C59—21no—
791C4×C59—21no—
792C4×C59—21no—
793C4×C59—21no—
794C4×C59—41no—
795C4×C59—41no—
796C4×C59—41no—
797C4×C59—41no—
798C4×C59—41no—
799C4×C59—41no—
800C4×C59C23×Q811yescharacteristic
801C4×C59C2×2−1+411yescharacteristic
802Dic59—21no—
803Dic59—21no—
804Dic59—21no—
805Dic59—21no—
806Dic59—21no—
807Dic59—21no—
808Dic59—41no—
809Dic59—41no—
810Dic59—41no—
811Dic59—41no—
812Dic59—41no—
813Dic59—41no—
814Dic59D4×Q812yes—
815#3501—591no—
816#3501—591no—
817#3389—591no—
818#3389—591no—
819#3389—591no—
820#3389—591no—
821#3389—591no—
822#3389—591no—
823#3389—591no—
824#3389—591no—
825#3384—591no—
826#3384—591no—
827#3384—591no—
828#3384—591no—
829#3384—591no—
830#3384—591no—
831#3384—591no—
832#3384D5911yescharacteristic, complemented
833#3163—591no—
834#3163—591no—
835#3162—591no—
836#3081—591no—
837#3081—591no—
838#3081—591no—
839#3081—591no—
840#3077—591no—
841#3077—591no—
842#2961—591no—
843#2948—591no—
844#2948—591no—
845C2×#442—591no—
846C2×C59—42no—
847C2×C59—42no—
848C2×C59C2×D4×Q811yescharacteristic
849C2×C59#358511yescharacteristic
850C2×C59#358511yescharacteristic
851D59—22no—
852D59—42no—
853D59—42no—
854C22×D8—591no—
855#554—591no—
856#554—591no—
857#554—591no—
858#554—591no—
859#554—591no—
860#554—591no—
861#554—591no—
862#554—591no—
863#554—591no—
864#554—591no—
865#554—591no—
866#554—1181no—
867#554—1181no—
868#554—1181no—
869#554—1181no—
870#554—1181no—
871#554—1181no—
872#554C2×D5911yescharacteristic, complemented
873D4×Q8—591no—
874D4×Q8—591no—
875D4×Q8—591no—
876D4×Q8—1181no—
877D4×Q8—1181no—
878D4×Q8C2×D5911yescharacteristic, complemented
879#544—591no—
880#544—591no—
881#544—591no—
882#544—591no—
883#543—1181no—
884#543—1181no—
885#543—1181no—
886#543—1181no—
887#533—591no—
888#533—591no—
889#533—591no—
890C2×C22⋊Q8—1181no—
891C2×C22⋊Q8—1181no—
892C2×C22⋊Q8—1181no—
893C2×C22⋊Q8—1181no—
894#518—591no—
895#518—591no—
896#518—591no—
897#518—591no—
898C2×C4×D4—591no—
899C2×C4×D4—591no—
900#501—591no—
901#501—591no—
902#501—591no—
903#501—591no—
904#501—591no—
905#501—591no—
906#501—591no—
907#501—591no—
908#501—591no—
909#501—591no—
910#501—591no—
911#501—591no—
912#501—591no—
913#501—591no—
914#501C2×D5911yescharacteristic, complemented
915#501C2×D5911yescharacteristic, complemented
916#499—591no—
917#499—591no—
918#499—591no—
919#499—591no—
920#498—591no—
921#498—591no—
922#498—591no—
923#498C2×D5911yescharacteristic, complemented
924#478—591no—
925#478—591no—
926#478—591no—
927#478—591no—
928#478—591no—
929#478—591no—
930#478—591no—
931#478—591no—
932#478—591no—
933#478—591no—
934#478—591no—
935#478—591no—
936#478—591no—
937#478—591no—
938#478—591no—
939#478—591no—
940#478—591no—
941#478—591no—
942#478—591no—
943#478—591no—
944#478—591no—
945#478—591no—
946#478C2×D5911yescharacteristic, complemented
947#478C2×D5911yescharacteristic, complemented
948#476—591no—
949#476—591no—
950#476—591no—
951#476—591no—
952#476—591no—
953#476—591no—
954#476—591no—
955#476—591no—
956#476—591no—
957#476C2×D5911yescharacteristic, complemented
958#476C2×D5911yescharacteristic, complemented
959#476C2×D5911yescharacteristic, complemented
960#474—591no—
961#474—591no—
962#474—591no—
963#474—591no—
964#474—591no—
965#474—591no—
966#474—591no—
967#474—591no—
968#474—591no—
969#474—591no—
970#474—591no—
971#474C2×D5911yescharacteristic, complemented
972#446—591no—
973#446—591no—
974#446—591no—
975#446—591no—
976#446—591no—
977#446—591no—
978#446—591no—
979#446C2×D5911yescharacteristic, complemented
980#442—591no—
981#442—591no—
982#442—591no—
983#442—591no—
984#442—591no—
985#442—591no—
986#442—591no—
987#442—591no—
988#442—591no—
989#442—591no—
990#442—591no—
991#442—591no—
992#442—591no—
993#442—591no—
994#442C2×D5911yescharacteristic
995#442C2×D5911yescharacteristic
996C4×D8—591no—
997C4×D8—591no—
998C4×D8—591no—
999C4×D8—591no—
1000C4×D8—591no—
1001C4×D8—591no—
1002C4×D8—591no—
1003C4×D8C2×D5911yescharacteristic
1004#428—591no—
1005#428—591no—
1006#428—591no—
1007#428—591no—
1008#427—591no—
1009#427—591no—
1010#427—591no—
1011#427—591no—
1012C2×#106—591no—
1013#424—591no—
1014#424—591no—
1015#423—591no—
1016#418—591no—
1017#418—591no—
1018#418—591no—
1019#418—591no—
1020C2×#102—591no—
1021C2×#102—591no—
1022#405—591no—
1023#405—591no—
1024C2×#97—591no—
1025C59#6137811yescharacteristic, complemented, Sylow
1026C22×Q8—21no—
1027C22×Q8—1181no—
1028C22×Q8—1181no—
1029C22×Q8—1181no—
1030C22×D4—591no—
1031C22×D4—591no—
1032C23×C4—1181no—
1033C23×C4—1181no—
1034C2×D8—591no—
1035C2×D8—591no—
1036C2×D8—598no—
1037C2×D8—591no—
1038C2×D8C22×D5911yescharacteristic
1039C2×M16—591no—
1040C2×M16—591no—
1041C22×C8—591no—
1042C22×C8—591no—
1043C4⋊Q8—591no—
1044C4⋊Q8—591no—
1045C4⋊Q8—591no—
1046C4⋊Q8—591no—
1047C4⋊Q8—591no—
1048C4⋊Q8—591no—
1049C4⋊Q8—591no—
1050C4⋊Q8—591no—
1051C4⋊Q8—591no—
1052C4⋊Q8—591no—
1053C4⋊Q8—1181no—
1054C4⋊Q8—1181no—
1055C4⋊Q8—1181no—
1056C4⋊Q8—1181no—
1057C4⋊Q8C22×D5911yescharacteristic
1058C4⋊Q8C22×D5911yescharacteristic
1059C4⋊Q8C22×D5911yescharacteristic
1060C4⋊Q8C22×D5911yescharacteristic
1061#125—591no—
1062#125—591no—
1063#125—591no—
1064#125—591no—
1065#125—591no—
1066#125—591no—
1067#125—591no—
1068#125—591no—
1069#125—591no—
1070#125—591no—
1071#125—591no—
1072#125—591no—
1073#125—1181no—
1074#125—1181no—
1075#125—1181no—
1076#125—1181no—
1077#125C22×D5911yescharacteristic
1078#125C22×D5911yescharacteristic
1079C22⋊Q8—21no—
1080C22⋊Q8—21no—
1081C22⋊Q8—21no—
1082C22⋊Q8—21no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—591no—
1086C22⋊Q8—591no—
1087C22⋊Q8—591no—
1088C22⋊Q8—591no—
1089C22⋊Q8—1181no—
1090C22⋊Q8—1181no—
1091C22⋊Q8—1181no—
1092C22⋊Q8—1181no—
1093C22⋊Q8—1181no—
1094C22⋊Q8—1181no—
1095C22⋊Q8—1181no—
1096C22⋊Q8—1181no—
1097C22⋊Q8—1181no—
1098C22⋊Q8—1181no—
1099C22⋊Q8—1181no—
1100C22⋊Q8—1181no—
1101C22⋊Q8—1181no—
1102C22⋊Q8—1181no—
1103C22⋊Q8—1181no—
1104C22⋊Q8—1181no—
1105C22⋊Q8—1181no—
1106C22⋊Q8—1181no—
1107C22⋊Q8—1181no—
1108C22⋊Q8—1181no—
1109C22⋊Q8—1181no—
1110C22⋊Q8—1181no—
1111C22⋊Q8—1181no—
1112C22⋊Q8—1181no—
1113C22⋊Q8—1181no—
1114C22⋊Q8—1181no—
1115C22⋊Q8—1181no—
1116C22⋊Q8—1181no—
1117C22⋊Q8—1181no—
1118C22⋊Q8—1181no—
1119C22⋊Q8—1181no—
1120C22⋊Q8—1181no—
1121C22⋊Q8—1181no—
1122C22⋊Q8—1181no—
1123C22⋊Q8—1181no—
1124C22⋊Q8—1181no—
1125C22⋊Q8—1181no—
1126C22⋊Q8—1181no—
1127C22⋊Q8—1181no—
1128C22⋊Q8—1181no—
1129C22⋊Q8—1181no—
1130C22⋊Q8—1181no—
1131C22⋊Q8—1181no—
1132C22⋊Q8—1181no—
1133C22⋊Q8—1181no—
1134C22⋊Q8—1181no—
1135C22⋊Q8—1181no—
1136C22⋊Q8—1181no—
1137C22⋊Q8—1181no—
1138C22⋊Q8—1181no—
1139C22⋊Q8—1181no—
1140C22⋊Q8—1181no—
1141C22⋊Q8—1181no—
1142C22⋊Q8—1181no—
1143C4×Q8—591no—
1144C4×Q8—591no—
1145C4×Q8—591no—
1146C4×Q8—1181no—
1147C4×Q8—1181no—
1148C4×Q8—1181no—
1149C4×Q8—1181no—
1150C4×Q8C22×D5911yescharacteristic
1151C4×D4—591no—
1152C4×D4—591no—
1153C4×D4—591no—
1154C4×D4—591no—
1155C4×D4—591no—
1156C4×D4—591no—
1157C4×D4—591no—
1158C4×D4—591no—
1159C4×D4—591no—
1160C4×D4—591no—
1161C4×D4—591no—
1162C4×D4—591no—
1163C4×D4—591no—
1164C4×D4—591no—
1165C4×D4—591no—
1166C4×D4—591no—
1167C4×D4—591no—
1168C4×D4—591no—
1169C4×D4—1181no—
1170C4×D4—1181no—
1171C4×D4—1181no—
1172C4×D4—1181no—
1173C4×D4—1181no—
1174C4×D4—1181no—
1175C4×D4—1181no—
1176C4×D4—1181no—
1177C4×D4—1181no—
1178C4×D4—1181no—
1179C4×D4—1181no—
1180C4×D4—1181no—
1181C4×D4C22×D5911yescharacteristic
1182C4×D4C22×D5911yescharacteristic
1183C4×D4C22×D5911yescharacteristic
1184C4×D4C22×D5911yescharacteristic
1185C4×D4C22×D5911yescharacteristic
1186C4×D4C22×D5911yescharacteristic
1187#117—591no—
1188#117—591no—
1189#117—591no—
1190#117—591no—
1191#117—591no—
1192#117—591no—
1193C2×C4⋊C4—21no—
1194C2×C4⋊C4—591no—
1195C2×C4⋊C4—591no—
1196C2×C4⋊C4—1181no—
1197C2×C4⋊C4—1181no—
1198C2×C4⋊C4—1181no—
1199C2×C4⋊C4—1181no—
1200C2×C4⋊C4—1181no—
1201C2×C4⋊C4—1181no—
1202C2×C4⋊C4—1181no—
1203C2×C4⋊C4—1181no—
1204C2×C4⋊C4—1181no—
1205C2×C4⋊C4—1181no—
1206C2×C4⋊C4—1181no—
1207C2×C22⋊C4—1181no—
1208C2×C22⋊C4—1181no—
1209C2×C22⋊C4—1181no—
1210C2×C22⋊C4—1181no—
1211C2×C22⋊C4—1181no—
1212C2×C22⋊C4—1181no—
1213C2×C22⋊C4—1181no—
1214C2×C22⋊C4—1181no—
1215C2×C22⋊C4—1181no—
1216C2×C22⋊C4—1181no—
1217C2×C42—591no—
1218#107—591no—
1219#107—591no—
1220#107—591no—
1221#107—591no—
1222#107—591no—
1223#107—591no—
1224#107—591no—
1225#107—591no—
1226#107—591no—
1227#107—591no—
1228#107—591no—
1229#107—591no—
1230#107—591no—
1231#107C22×D5911yescharacteristic
1232#107C22×D5911yescharacteristic
1233#107C22×D5911yescharacteristic
1234#106—591no—
1235#106—591no—
1236#106—591no—
1237#106—591no—
1238#106—591no—
1239#106—591no—
1240#106—591no—
1241#106—591no—
1242#106—591no—
1243#106—591no—
1244#106—591no—
1245#106—591no—
1246#106—591no—
1247#106—591no—
1248#106C22×D5911yescharacteristic
1249#106C22×D5911yescharacteristic
1250#106C22×D5911yescharacteristic
1251#106C22×D5911yescharacteristic
1252#106C22×D5911yescharacteristic
1253#106C22×D5911yescharacteristic
1254C4⋊C8—591no—
1255C4⋊C8—591no—
1256C4⋊C8—591no—
1257C4⋊C8—591no—
1258C4⋊C8—591no—
1259C4⋊C8—591no—
1260C4⋊C8—591no—
1261C4⋊C8—591no—
1262C4⋊C8—591no—
1263C4⋊C8C22×D5911yescharacteristic
1264C4⋊C8C22×D5911yescharacteristic
1265C4⋊C8C22×D5911yescharacteristic
1266#102—591no—
1267#102—591no—
1268#102—591no—
1269#102—591no—
1270#102—591no—
1271#102—591no—
1272#102—591no—
1273#102—591no—
1274#102—591no—
1275#102—591no—
1276#102—591no—
1277#102—591no—
1278#102—591no—
1279#102—591no—
1280#102—591no—
1281#102—591no—
1282#102—591no—
1283#102—591no—
1284#102C22×D5911yescharacteristic
1285#102C22×D5911yescharacteristic
1286#102C22×D5911yescharacteristic
1287#102C22×D5911yescharacteristic
1288#102C22×D5911yescharacteristic
1289#102C22×D5911yescharacteristic
1290#97—591no—
1291#97—591no—
1292#97—591no—
1293#97—591no—
1294#97—591no—
1295#97—591no—
1296#97C22×D5911yescharacteristic
1297#97C22×D5911yescharacteristic
1298C4×C8—591no—
1299C4×C8—591no—
1300C4×C8—591no—
1301C4×C8C22×D5911yescharacteristic
1302C24—1181no—
1303C24—1181no—
1304C2×Q8—21no—
1305C2×Q8—21no—
1306C2×Q8—21no—
1307C2×Q8—21no—
1308C2×Q8—82no—
1309C2×Q8—591no—
1310C2×Q8—591no—
1311C2×Q8—591no—
1312C2×Q8—1181no—
1313C2×Q8—1181no—
1314C2×Q8—1181no—
1315C2×Q8—1181no—
1316C2×Q8—1181no—
1317C2×Q8—1181no—
1318C2×Q8—1181no—
1319C2×Q8—1181no—
1320C2×Q8—4722no—
1321C2×Q8—4722no—
1322C2×Q8—4722no—
1323C2×Q8D4×D5911yescharacteristic
1324C2×D4—594no—
1325C2×D4—594no—
1326C2×D4—591no—
1327C2×D4—591no—
1328C2×D4—1182no—
1329C2×D4—1182no—
1330C2×D4—1181no—
1331C2×D4—1181no—
1332C2×D4C23×D5911yescharacteristic
1333C2×D4C23×D5911yescharacteristic
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—591no—
1341C22×C4—591no—
1342C22×C4—591no—
1343C22×C4—1181no—
1344C22×C4—1181no—
1345C22×C4—1181no—
1346C22×C4—1181no—
1347C22×C4—1181no—
1348C22×C4—1181no—
1349C22×C4—1181no—
1350C22×C4—1181no—
1351C22×C4—1181no—
1352C22×C4—1181no—
1353C22×C4—1181no—
1354C22×C4—1181no—
1355C22×C4—1181no—
1356C22×C4—1181no—
1357C22×C4—1181no—
1358C22×C4—1181no—
1359C22×C4—1181no—
1360C22×C4—1181no—
1361C22×C4—1181no—
1362C22×C4—1181no—
1363C22×C4—4722no—
1364C22×C4—4722no—
1365D8—594no—
1366D8—594no—
1367D8—594no—
1368D8Q8×D5914yescomplemented
1369M16—1182no—
1370M16—1182no—
1371C2×C8—591no—
1372C2×C8—594no—
1373C2×C8—591no—
1374C2×C8—591no—
1375C2×C8—591no—
1376C2×C8—1182no—
1377C2×C8C23×D5911yescharacteristic
1378C2×C8C23×D5911yescharacteristic
1379C2×C8C23×D5911yescharacteristic
1380C2×C8C23×D5911yescharacteristic
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—591no—
1390C4⋊C4—591no—
1391C4⋊C4—591no—
1392C4⋊C4—591no—
1393C4⋊C4—591no—
1394C4⋊C4—591no—
1395C4⋊C4—591no—
1396C4⋊C4—591no—
1397C4⋊C4—591no—
1398C4⋊C4—591no—
1399C4⋊C4—591no—
1400C4⋊C4—591no—
1401C4⋊C4—591no—
1402C4⋊C4—591no—
1403C4⋊C4—591no—
1404C4⋊C4—591no—
1405C4⋊C4—591no—
1406C4⋊C4—591no—
1407C4⋊C4—591no—
1408C4⋊C4—1181no—
1409C4⋊C4—1181no—
1410C4⋊C4—1181no—
1411C4⋊C4—1181no—
1412C4⋊C4—1181no—
1413C4⋊C4—1181no—
1414C4⋊C4—1181no—
1415C4⋊C4—1181no—
1416C4⋊C4—1181no—
1417C4⋊C4—1181no—
1418C4⋊C4—1181no—
1419C4⋊C4—1181no—
1420C4⋊C4—1181no—
1421C4⋊C4—1181no—
1422C4⋊C4—1181no—
1423C4⋊C4—1181no—
1424C4⋊C4—1181no—
1425C4⋊C4—1181no—
1426C4⋊C4—1181no—
1427C4⋊C4—1181no—
1428C4⋊C4—1181no—
1429C4⋊C4—1181no—
1430C4⋊C4—1181no—
1431C4⋊C4—1181no—
1432C4⋊C4—1181no—
1433C4⋊C4—1181no—
1434C4⋊C4—1181no—
1435C4⋊C4—1181no—
1436C4⋊C4—1181no—
1437C4⋊C4—1181no—
1438C4⋊C4D4×D5911yescharacteristic
1439C4⋊C4D4×D5911yescharacteristic
1440C4⋊C4D4×D5911yescharacteristic
1441C4⋊C4C23×D5911yescharacteristic
1442C4⋊C4C23×D5911yescharacteristic
1443C4⋊C4C23×D5911yescharacteristic
1444C4⋊C4C23×D5911yescharacteristic
1445C4⋊C4C23×D5911yescharacteristic
1446C4⋊C4C23×D5911yescharacteristic
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—591no—
1454C22⋊C4—591no—
1455C22⋊C4—591no—
1456C22⋊C4—591no—
1457C22⋊C4—1181no—
1458C22⋊C4—1181no—
1459C22⋊C4—1181no—
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—1181no—
1475C22⋊C4—1181no—
1476C22⋊C4—1181no—
1477C22⋊C4—1181no—
1478C22⋊C4—1181no—
1479C42—591no—
1480C42—591no—
1481C42—591no—
1482C42—591no—
1483C42—591no—
1484C42—1181no—
1485C42—1181no—
1486C42—1181no—
1487C42—1181no—
1488C42C23×D5911yescharacteristic
1489C42C23×D5911yescharacteristic
1490C42C23×D5911yescharacteristic
1491C23—21no—
1492C23—21no—
1493C23—591no—
1494C23—1184no—
1495C23—1184no—
1496C23—1181no—
1497C23—1181no—
1498C23—4721no—
1499C23—4721no—
1500C23—4721no—
1501C23—4721no—
1502Q8—41no—
1503Q8—42no—
1504Q8—81no—
1505Q8—81no—
1506Q8—81no—
1507Q8—4721no—
1508Q8—4721no—
1509Q8—4721no—
1510Q8—4721no—
1511Q8—4721no—
1512Q8—4721no—
1513Q8—4721no—
1514Q8—2361no—
1515Q8—2361no—
1516Q8—2361no—
1517Q8—2362no—
1518D4—21no—
1519D4—21no—
1520D4—592no—
1521D4—592no—
1522D4—1184no—
1523D4—1184no—
1524D4—1181no—
1525D4—1181no—
1526D4C2×Q8×D5912yes—
1527D4C2×Q8×D5912yes—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—42no—
1535C2×C4—81no—
1536C2×C4—81no—
1537C2×C4—81no—
1538C2×C4—81no—
1539C2×C4—81no—
1540C2×C4—591no—
1541C2×C4—592no—
1542C2×C4—592no—
1543C2×C4—591no—
1544C2×C4—591no—
1545C2×C4—591no—
1546C2×C4—591no—
1547C2×C4—591no—
1548C2×C4—591no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—4721no—
1556C2×C4—4721no—
1557C2×C4—4721no—
1558C2×C4—4721no—
1559C2×C4—4721no—
1560C2×C4—4721no—
1561C2×C4—4721no—
1562C2×C4—4721no—
1563C2×C4—4721no—
1564C2×C4—4721no—
1565C2×C4—4721no—
1566C2×C4—4721no—
1567C2×C4—4721no—
1568C2×C4—4721no—
1569C2×C4—4721no—
1570C2×C4—4721no—
1571C2×C4—4721no—
1572C2×C4—2361no—
1573C2×C4—2361no—
1574C2×C4—2362no—
1575C2×C4—2362no—
1576C2×C4—2362no—
1577C2×C4C2×D4×D5911yescharacteristic
1578C2×C4C2×D4×D5911yescharacteristic
1579C2×C4C2×D4×D5911yescharacteristic
1580C2×C4C2×D4×D5911yescharacteristic
1581C2×C4C2×D4×D5911yescharacteristic
1582C2×C4C2×D4×D5911yescharacteristic
1583C2×C4C24×D5911yescharacteristic
1584C8—21no—
1585C8—21no—
1586C8—21no—
1587C8—592no—
1588C8—1181no—
1589C8—1181no—
1590C8—1181no—
1591C8C2×Q8×D5912yes—
1592C22—22no—
1593C22—22no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—592no—
1599C22—1181no—
1600C22—1181no—
1601C22—1182no—
1602C22—1182no—
1603C22—4724no—
1604C22—4724no—
1605C22—2361no—
1606C22—2361no—
1607C22—2361no—
1608C22—2361no—
1609C22C22×D4×D5911yescharacteristic
1610C4—21no—
1611C4—21no—
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—592no—
1623C4—1181no—
1624C4—1181no—
1625C4—1181no—
1626C4—1181no—
1627C4—1181no—
1628C4—1181no—
1629C4—2361no—
1630C4—2361no—
1631C4—2361no—
1632C4—2361no—
1633C4—2361no—
1634C4—2361no—
1635C4C22×Q8×D5911yescharacteristic
1636C42−1+4×D5911yescharacteristic
1637C2—42no—
1638C2—42no—
1639C2—1182no—
1640C2—2362no—
1641C2—2362no—
1642C2D4×Q8×D5911yescharacteristic
1643C2#2143887211yescharacteristic
1644C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3384C2
socleC22×C59C23×D4
prime radicalC2×D8×D59C22
hypercenter#3384D59
hypocenterC59#61378
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3384

Complements

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

NH ≅ G/Ntype
1. #21437895C2semidirect
2. #21437891C2semidirect
3. #21437056C2semidirect
4. #21437055C2semidirect
5. #21437054C2semidirect
6. #21437053C2semidirect
7. #21437052C2semidirect
8. #21437051C2semidirect
9. #21437050C2semidirect
10. #21437049C2semidirect
11. #21437000C2semidirect
12. #21436996C2semidirect
13. #21436994C2semidirect
14. #21436992C2semidirect
15. #21436991C2semidirect
16. #21436990C2semidirect
17. #21436990C2semidirect
18. #21434623C2semidirect
19. #21434621C2semidirect
20. #21434617C2semidirect
21. #21433924C2semidirect
22. #21433922C2semidirect
23. #21433922C2semidirect
24. #21433920C2semidirect
25. #21433894C2semidirect
26. #21433891C2semidirect
27. #21433032C2semidirect
31. C59×#3384C2semidirect
33. #16838113C22semidirect
34. #16838113C22semidirect
35. #16838112C22semidirect
36. #16838112C22semidirect
37. #16838111C22semidirect
38. #16838111C22semidirect
39. #16838111C22semidirect
40. #16838111C22semidirect
42. #16838109C22semidirect
43. #16838108C22semidirect
44. #16838108C22semidirect
50. D4×Dic118C22semidirect
51. #16838067C22semidirect
52. #16838067C22semidirect
76. #16837812C22semidirect
77. #16837811C22semidirect
78. #16837811C22semidirect
79. #16837810C22semidirect
80. #16837810C22semidirect
81. #16837810C22semidirect
82. #16837809C22semidirect
83. #16837809C22semidirect
84. #16837809C22semidirect
85. #16837809C22semidirect
86. #16837809C22semidirect
87. #16837808C22semidirect
88. #16837808C22semidirect
89. #16837808C22semidirect
90. #16837804C22semidirect
91. #16837803C22semidirect
92. #16837802C22semidirect
93. #16837801C22semidirect
94. #16837799C22semidirect
95. #16837799C22semidirect
96. #16837798C22semidirect
97. #16837705C22semidirect
98. #16837705C22semidirect
99. #16837704C22semidirect
100. #16837704C22semidirect
101. #16837703C22semidirect
102. #16837703C22semidirect
103. #16837703C22semidirect
104. #16837703C22semidirect
105. #16837702C22semidirect
106. #16837702C22semidirect
107. #16837702C22semidirect
108. #16837702C22semidirect
109. #16837701C22semidirect
110. #16837701C22semidirect
111. #16837701C22semidirect
112. #16837701C22semidirect
113. #16837700C22semidirect
114. #16837700C22semidirect
115. #16837700C22semidirect
116. #16837700C22semidirect
117. #16837699C22semidirect
118. #16837699C22semidirect
119. #16837692C22semidirect
120. #16837691C22semidirect
121. #16837691C22semidirect
122. #16837691C22semidirect
123. #16837691C22semidirect
124. #16837690C22semidirect
125. #16837690C22semidirect
126. #16837689C22semidirect
127. #16837689C22semidirect
128. #16837683C22semidirect
129. #16837683C22semidirect
130. #16837682C22semidirect
131. #16837681C22semidirect
132. #16837681C22semidirect
133. #16837680C22semidirect
134. #16837680C22semidirect
135. #16837680C22semidirect
136. #16837680C22semidirect
137. #16837679C22semidirect
138. #16837679C22semidirect
139. #16837533C22semidirect
140. #16837532C22semidirect
141. #16837531C22semidirect
142. #16837531C22semidirect
143. #16837530C22semidirect
144. #16837530C22semidirect
145. #16837529C22semidirect
188. C59×#554C22semidirect
189. D4×Q8×C59C22semidirect
190. C59×#501C22semidirect
191. C59×#501C22semidirect
192. C59×#498C22semidirect
193. C59×#478C22semidirect
194. C59×#478C22semidirect
195. C59×#476C22semidirect
196. C59×#476C22semidirect
197. C59×#476C22semidirect
198. C59×#474C22semidirect
199. C59×#446C22semidirect
213. D8×D59Q8semidirect
507. D4×D59C2×Q8semidirect
508. D4×D59C2×Q8semidirect
542. D8×C59C2×Q8semidirect
579. #11745669C2×Q8semidirect
580. #11745669C2×Q8semidirect
663. D472C2×Q8semidirect
667. C8×D59C2×Q8semidirect
832. #3384D59semidirect
872. #554C2×D59semidirect
878. D4×Q8C2×D59semidirect
914. #501C2×D59semidirect
915. #501C2×D59semidirect
923. #498C2×D59semidirect
946. #478C2×D59semidirect
947. #478C2×D59semidirect
957. #476C2×D59semidirect
958. #476C2×D59semidirect
959. #476C2×D59semidirect
971. #474C2×D59semidirect
979. #446C2×D59semidirect
1025. C59#61378semidirect
1368. D8Q8×D59semidirect

Maximal subgroups

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

subgroupindex
#214378952
#214378912
#214370562
#214370552
#214370542
#214370532
#214370522
#214370512
#214370502
#214370492
#214370002
#214369962
#214369942
#214369922
#214369912
#214369902
#214346232
#214346212
#214346172
#214339242
#214339222
#214339202
#214338942
#214338912
#214330322
#214329452
#214329432
#442×D592
C59×#33842
#6137859