Finite Group Databasebeta

← #29470648

Subgroups — #29470648

Order 15104.

1888 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437702C211yesmaximal, characteristic
2#21437674C211yesmaximal, characteristic, complemented
3#21437146C211yesmaximal, characteristic, complemented
4#21437003C211yesmaximal, characteristic, complemented
5#21436907C211yesmaximal, characteristic, complemented
6#21436874C211yesmaximal, characteristic, complemented
7#21436587C211yesmaximal, characteristic, complemented
8#21436580C211yesmaximal, characteristic, complemented
9#21436485C211yesmaximal, characteristic, complemented
10#21436273C211yesmaximal, characteristic, complemented
11#21436266C211yesmaximal, characteristic, complemented
12#21436183C211yesmaximal, characteristic, complemented
13#21436176C211yesmaximal, characteristic, complemented
14#21435967C211yesmaximal, characteristic, complemented
15#21435915C211yesmaximal, characteristic, complemented
16#21435789C211yesmaximal, characteristic, complemented
17#21435605C211yesmaximal, characteristic, complemented
18#21435603C211yesmaximal, characteristic, complemented
19#21434811C211yesmaximal, characteristic, complemented
20#21434803C211yesmaximal, characteristic, complemented
21#21434271C211yesmaximal, characteristic, complemented
22#21434263C211yesmaximal, characteristic, complemented
23#21434256C211yesmaximal, characteristic, complemented
24#21434216C211yesmaximal, characteristic, complemented
25#21434193C211yesmaximal, characteristic, complemented
26#21434191C211yesmaximal, characteristic, complemented
27#21433107C211yesmaximal, characteristic, complemented
28#21432912C211yesmaximal, characteristic, complemented
29C2×#16837504C211yesmaximal, characteristic, complemented
30#440×D59C211yesmaximal, characteristic, complemented
31C59×#3181C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic
33C22×#11745660C2211yescharacteristic
34C2×SD16×D59C2211yescharacteristic
35#16838134C2211yescharacteristic
36#16838132C2211yescharacteristic, complemented
37#16838129—21no—
38#16838127C2211yescharacteristic, complemented
39#16838113C2211yescharacteristic, complemented
40#16838110C2211yescharacteristic
41#16838110C2211yescharacteristic
42#16838110C2211yescharacteristic, complemented
43#16838108—21no—
44#16838108C2211yescharacteristic
45#16838106—21no—
46#16838106—21no—
47#16838105C2211yescharacteristic
48#16838104C2211yescharacteristic
49#16838103—21no—
50#16838077—21no—
51#16838075—21no—
52#16838067C2211yescharacteristic, complemented
53#16838065C2211yescharacteristic
54#16838065C2211yescharacteristic, complemented
55#16838045C2211yescharacteristic
56#16838044—21no—
57#16838043C2211yescharacteristic
58#16838036C2211yescharacteristic
59#16837956—21no—
60#16837956—21no—
61#16837956C2211yescharacteristic, complemented
62#16837956C2211yescharacteristic, complemented
63#16837955—21no—
64#16837949C2211yescharacteristic
65#16837939C2211yescharacteristic
66#16837930—21no—
67#16837914—21no—
68#16837911—21no—
69C4×#11745689C2211yescharacteristic
70C4×#11745685C2211yescharacteristic
71#16837870—21no—
72C2×C4×Dic118C2211yescharacteristic, complemented
73C4×Q8×D59C2211yescharacteristic, complemented
74C4×Q8×D59C2211yescharacteristic, complemented
75C2×C4×D236C2211yescharacteristic
76C4×D4×D59—21no—
77C4×D4×D59C2211yescharacteristic
78#16837809C2211yescharacteristic, complemented
79#16837806C2211yescharacteristic, complemented
80#16837795C2211yescharacteristic, complemented
81#16837773C2211yescharacteristic
82#16837769C2211yescharacteristic, complemented
83#16837763C2211yescharacteristic, complemented
84#16837751C2211yescharacteristic, complemented
85#16837747C2211yescharacteristic
86#16837746C2211yescharacteristic, complemented
87#16837742C2211yescharacteristic, complemented
88#16837739C2211yescharacteristic, complemented
89#16837736C2211yescharacteristic, complemented
90#16837736C2211yescharacteristic, complemented
91#16837735C2211yescharacteristic, complemented
92#16837735C2211yescharacteristic, complemented
93#16837735C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic
95#16837718C2211yescharacteristic
96#16837717C2211yescharacteristic, complemented
97#16837714C2211yescharacteristic, complemented
98#16837712C2211yescharacteristic, complemented
99#16837711C2211yescharacteristic, complemented
100#16837706C2211yescharacteristic, complemented
101#16837706C2211yescharacteristic, complemented
102#16837696C2211yescharacteristic, complemented
103#16837695C2211yescharacteristic, complemented
104#16837695C2211yescharacteristic, complemented
105#16837691C2211yescharacteristic
106#16837681C2211yescharacteristic
107#16837680C2211yescharacteristic, complemented
108#16837679C2211yescharacteristic
109#16837679C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic, complemented
111#16837649C2211yescharacteristic, complemented
112#16837647C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837642C2211yescharacteristic, complemented
115#16837640C2211yescharacteristic, complemented
116#16837634C2211yescharacteristic
117#16837632C2211yescharacteristic
118#16837627C2211yescharacteristic, complemented
119#16837626C2211yescharacteristic, complemented
120#16837621C2211yescharacteristic, complemented
121#16837621C2211yescharacteristic, complemented
122#16837610C2211yescharacteristic, complemented
123#16837606C2211yescharacteristic
124#16837606C2211yescharacteristic
125#16837605C2211yescharacteristic, complemented
126#16837604C2211yescharacteristic
127#16837604C2211yescharacteristic, complemented
128#16837601C2211yescharacteristic
129#16837600C2211yescharacteristic
130#16837567C2211yescharacteristic
131#16837563C2211yescharacteristic
132#16837557C2211yescharacteristic, complemented
133#16837556C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic
135#16837552C2211yescharacteristic
136#16837552C2211yescharacteristic
137#16837551C2211yescharacteristic
138#16837542C2211yescharacteristic
139#16837542C2211yescharacteristic, complemented
140#16837540C2211yescharacteristic
141#16837539C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837530C2211yescharacteristic, complemented
144#16837507C2211yescharacteristic, complemented
145#16837507C2211yescharacteristic, complemented
146#16837505C2211yescharacteristic
147#16837504C2211yescharacteristic
148#16837504C2211yescharacteristic
149#16837504C2211yescharacteristic
150#16837504C2211yescharacteristic
151#16837504C2211yescharacteristic, complemented
152#16837504C2211yescharacteristic, complemented
153#16837504C2211yescharacteristic, complemented
154#16837504C2211yescharacteristic, complemented
155#16837503C2211yescharacteristic, complemented
156#16837502C2211yescharacteristic, complemented
157#16837502C2211yescharacteristic, complemented
158#16837501C2211yescharacteristic
159#16837500C2211yescharacteristic
160#16837500C2211yescharacteristic
161#16837500C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic, complemented
164Q16×Dic59C2211yescharacteristic, complemented
165#16837494C2211yescharacteristic, complemented
166#16837489C2211yescharacteristic
167#16837487C2211yescharacteristic
168#16837475C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837473C2211yescharacteristic, complemented
171#16837473C2211yescharacteristic, complemented
172C8×C22⋊D59C2211yescharacteristic
173C8×C22⋊D59C2211yescharacteristic
174#16837459C2211yescharacteristic, complemented
175#16837457C2211yescharacteristic, complemented
176#16837457C2211yescharacteristic, complemented
177#16837441C2211yescharacteristic, complemented
178C2×#14273661C2211yescharacteristic, complemented
179#107×D59C2211yescharacteristic, complemented
180#16837409C2211yescharacteristic, complemented
181#16837402C2211yescharacteristic
182C2×#14273652C2211yescharacteristic, complemented
183#103×D59C2211yescharacteristic, complemented
184C2×#14273649C2211yescharacteristic
185#102×D59C2211yescharacteristic
186#16837354C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#533C2211yescharacteristic, complemented
189C59×#529C2211yescharacteristic
190C59×#501C2211yescharacteristic, complemented
191C59×#497C2211yescharacteristic, complemented
192C59×#491C2211yescharacteristic, complemented
193C59×#489C2211yescharacteristic, complemented
194C59×#467C2211yescharacteristic, complemented
195C59×#467C2211yescharacteristic, complemented
196C59×#465C2211yescharacteristic
197C59×#465C2211yescharacteristic
198C59×#441C2211yescharacteristic, complemented
199C59×#441C2211yescharacteristic, complemented
200C59×#440C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C2×#97×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685D411yescharacteristic
206C22×Dic118C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C2×D4×D59—21no—
211C2×D4×D59C2311yescharacteristic
212C22×C4×D59—21no—
213C22×C4×D59—21no—
214#14273759—24no—
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745660—24no—
218C2×#11745660C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228SD16×D59—24no—
229C2×#11745659C2311yescharacteristic
230C2×#11745659C2311yescharacteristic
231C2×C8×D59C2311yescharacteristic
232C2×C8×D59C2311yescharacteristic
233#14273726—21no—
234#14273726—21no—
235#14273726—21no—
236#14273726—21no—
237#14273726C2311yescharacteristic
238#14273726C2311yescharacteristic
239#14273726C2311yescharacteristic
240#14273725—21no—
241#14273725—21no—
242#14273725C2311yescharacteristic
243#14273725C2311yescharacteristic
244#14273723C2311yescharacteristic
245#14273722—21no—
246#14273722—21no—
247#14273720—21no—
248#14273718—21no—
249#14273718—21no—
250#14273718C2311yescharacteristic
251#14273717—21no—
252#14273717—21no—
253#14273717—21no—
254#14273717—21no—
255#14273717—21no—
256#14273717—21no—
257#14273717—21no—
258#14273716C2311yescharacteristic
259#14273713—21no—
260#14273713—21no—
261#14273712—21no—
262#14273712—21no—
263#14273712—21no—
264#14273711—21no—
265#14273711—21no—
266#14273709—21no—
267#14273709—21no—
268#14273707—21no—
269#14273707—21no—
270#14273707—21no—
271#14273707—21no—
272#14273707C2311yescharacteristic
273#14273707C2311yescharacteristic
274#14273705—21no—
275#14273705—21no—
276#14273705—21no—
277#14273705—21no—
278#14273705—21no—
279#14273705—21no—
280#14273705—21no—
281#14273705—21no—
282#14273704—21no—
283#14273704—21no—
284#14273704—21no—
285#14273704—21no—
286#14273704—21no—
287#14273703—21no—
288#14273703—21no—
289#14273703C2311yescharacteristic
290#14273703C2311yescharacteristic
291#14273703C2311yescharacteristic
292#14273702—21no—
293#14273702—21no—
294#14273702C2311yescharacteristic
295#14273702C2311yescharacteristic
296#14273700—21no—
297#14273700—21no—
298#14273700—21no—
299#14273699—21no—
300#14273698C2311yescharacteristic
301#14273697—21no—
302#14273697—21no—
303#14273697—21no—
304#14273695—21no—
305Q8×Dic59C2311yescharacteristic
306Q8×Dic59C2311yescharacteristic
307Q8×Dic59C2311yescharacteristic
308C4×Dic118—21no—
309C4×Dic118—21no—
310C4×Dic118—21no—
311C4×Dic118—21no—
312C4×Dic118—21no—
313C4×Dic118—21no—
314C4×Dic118D411yescharacteristic
315C4×Dic118C2311yescharacteristic
316C4×Dic118C2311yescharacteristic
317C4×Dic118C2311yescharacteristic
318C4×Dic118C2311yescharacteristic
319C4×Dic118C2311yescharacteristic
320#14273692—21no—
321#14273692—21no—
322#14273692—21no—
323#14273692—21no—
324#14273692C2311yescharacteristic
325#14273692C2311yescharacteristic
326C4×D236—21no—
327C4×D236—21no—
328C4×D236—21no—
329C4×D236—21no—
330C4×D236D411yescharacteristic
331C4×D236C2311yescharacteristic
332C4×D236C2311yescharacteristic
333C4×D236C2311yescharacteristic
334C4×D236C2311yescharacteristic
335C4×D236C2311yescharacteristic
336D4×Dic59—21no—
337D4×Dic59C2311yescharacteristic
338#14273689—21no—
339#14273689—21no—
340#14273689—21no—
341#14273689—21no—
342#14273689C2311yescharacteristic
343#14273689C2311yescharacteristic
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59D411yescharacteristic
347C4×C22⋊D59D411yescharacteristic
348C4×C22⋊D59C2311yescharacteristic
349C4×C22⋊D59C2311yescharacteristic
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357#14273686D411yescharacteristic
358#14273685—21no—
359#14273685C2311yescharacteristic
360#14273684—21no—
361#14273684—21no—
362#14273684—21no—
363#14273684D411yescharacteristic
364#14273684D411yescharacteristic
365C2×C4⋊Dic59C2311yescharacteristic
366C2×C4⋊Dic59C2311yescharacteristic
367C2×Dic59⋊C4—21no—
368C4⋊C4×D59—21no—
369C4⋊C4×D59—21no—
370C4⋊C4×D59—21no—
371C4⋊C4×D59C2311yescharacteristic
372C4⋊C4×D59C2311yescharacteristic
373C4⋊C4×D59C2311yescharacteristic
374C2×(C2×D59)⋊C4—21no—
375C22⋊C4×D59—21no—
376C22⋊C4×D59—21no—
377C22⋊C4×D59—21no—
378C2×C4×Dic59—21no—
379C42×D59—21no—
380C42×D59—21no—
381C42×D59—21no—
382C42×D59C2311yescharacteristic
383C42×D59C2311yescharacteristic
384#14273661C2311yescharacteristic
385#14273661C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396C4⋊(C59⋊C8)C2311yescharacteristic
397C4⋊(C59⋊C8)C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432#14273638C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×Q16×C59C2311yescharacteristic
439C2×Q16×C59C2311yescharacteristic
440C2×SD16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C22×C8×C59C2311yescharacteristic
443C22×C8×C59C2311yescharacteristic
444C4⋊Q8×C59C2311yescharacteristic
445C4⋊Q8×C59C2311yescharacteristic
446#126×C59—21no—
447#125×C59—21no—
448#125×C59C2311yescharacteristic
449#124×C59C2311yescharacteristic
450#123×C59—21no—
451C22⋊Q8×C59—21no—
452C22⋊Q8×C59C2311yescharacteristic
453C22⋊Q8×C59C2311yescharacteristic
454C22⋊Q8×C59C2311yescharacteristic
455#121×C59C2311yescharacteristic
456C4×Q8×C59—21no—
457C4×Q8×C59C2311yescharacteristic
458C4×Q8×C59C2311yescharacteristic
459C4×Q8×C59C2311yescharacteristic
460C4×D4×C59—21no—
461C4×D4×C59C2311yescharacteristic
462#117×C59—21no—
463#117×C59—21no—
464C2×C42×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#97×C59C2311yescharacteristic
478#97×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483C2×Q8×C59—21no—
484C2×Q8×C59C2411yescharacteristic
485C2×Q8×C59C2411yescharacteristic
486C2×Q8×C59C2411yescharacteristic
487C2×D4×C59—21no—
488C2×D4×C59C2411yescharacteristic
489C22×C4×C59—21no—
490C22×C4×C59C2×D411yescharacteristic
491C22×C4×C59C2×D411yescharacteristic
492C22×C4×C59C2411yescharacteristic
493C2×C22⋊D59—21no—
494C2×C22⋊D59—21no—
495C2×C22⋊D59—21no—
496C2×C22⋊D59—21no—
497C2×C22⋊D59C2×D411yescharacteristic
498C2×C22⋊D59C2×D411yescharacteristic
499C22×Dic59—21no—
500C22×Dic59—21no—
501C22×Dic59—21no—
502C22×Dic59—21no—
503#11745689—22no—
504#11745689—41no—
505Q8×D59—22no—
506Q8×D59—22no—
507Q8×D59—41no—
508Q8×D59—41no—
509D4×D59—22no—
510D4×D59—41no—
511D4×D59—44no—
512#11745685—24no—
513#11745685—82no—
514C2×D236—22no—
515C2×D236—21no—
516C2×D236—21no—
517C2×D236—21no—
518C2×D236—21no—
519C2×D236—41no—
520C2×D236C2×D411yescharacteristic
521C2×D236C2411yescharacteristic
522C2×D236C2411yescharacteristic
523C2×C4×D59—21no—
524C2×C4×D59—21no—
525C2×C4×D59—21no—
526C2×C4×D59—21no—
527C2×C4×D59—21no—
528C2×C4×D59—21no—
529C2×C4×D59—21no—
530C2×C4×D59—21no—
531C2×C4×D59—21no—
532C2×C4×D59—21no—
533C2×C4×D59—21no—
534C2×C4×D59—21no—
535C2×C4×D59—82no—
536C2×C4×D59—82no—
537C2×C4×D59C2×D411yescharacteristic
538C2×C4×D59C2×D411yescharacteristic
539C2×C4×D59C2×D411yescharacteristic
540C2×C4×D59C2×D411yescharacteristic
541C2×C4×D59C2411yescharacteristic
542C2×C4×D59C2411yescharacteristic
543C2×Dic118—22no—
544C2×Dic118—21no—
545C2×Dic118—21no—
546C2×Dic118—21no—
547C2×Dic118—21no—
548C2×Dic118—21no—
549C2×Dic118—21no—
550C2×Dic118—41no—
551C2×Dic118C2×D411yescharacteristic
552C2×Dic118C2411yescharacteristic
553C2×Dic118C2411yescharacteristic
554Q16×C59—22no—
555Q16×C59—41no—
556SD16×C59—22no—
557SD16×C59—41no—
558C2×C8×C59—22no—
559C2×C8×C59—41no—
560C2×C8×C59C2411yescharacteristic
561C2×C8×C59C2411yescharacteristic
562C2×C8×C59C2411yescharacteristic
563C2×C8×C59C2411yescharacteristic
564C4⋊C4×C59—21no—
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59C2411yescharacteristic
576C4⋊C4×C59C2411yescharacteristic
577C4⋊C4×C59C2411yescharacteristic
578C4⋊C4×C59C2411yescharacteristic
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C42×C59—21no—
587C42×C59—21no—
588C42×C59—21no—
589C42×C59C2×D411yescharacteristic
590C42×C59C2×D411yescharacteristic
591C42×C59C2411yescharacteristic
592C42×C59C2411yescharacteristic
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59C2×D411yescharacteristic
596C22⋊Dic59C2×D411yescharacteristic
597#11745672—22no—
598#11745672—41no—
599#11745671—22no—
600#11745671—22no—
601#11745671—41no—
602#11745671—41no—
603#11745670—22no—
604#11745670—41no—
605(C2×D59)⋊C4—21no—
606(C2×D59)⋊C4—21no—
607(C2×D59)⋊C4—21no—
608(C2×D59)⋊C4—21no—
609(C2×D59)⋊C4—21no—
610(C2×D59)⋊C4—21no—
611(C2×D59)⋊C4—21no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4C2×D411yescharacteristic
622(C2×D59)⋊C4C2×D411yescharacteristic
623(C2×D59)⋊C4C2×D411yescharacteristic
624(C2×D59)⋊C4C2×D411yescharacteristic
625C4⋊Dic59—21no—
626C4⋊Dic59—21no—
627C4⋊Dic59—21no—
628C4⋊Dic59—21no—
629C4⋊Dic59—21no—
630C4⋊Dic59—21no—
631C4⋊Dic59—21no—
632C4⋊Dic59—21no—
633C4⋊Dic59C2×D411yescharacteristic
634C4⋊Dic59C2×D411yescharacteristic
635C4⋊Dic59C2411yescharacteristic
636C4⋊Dic59C2411yescharacteristic
637C4⋊Dic59C2411yescharacteristic
638C4⋊Dic59C2411yescharacteristic
639Dic59⋊C4—21no—
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4—21no—
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4C2×D411yescharacteristic
660Dic59⋊C4C2×D411yescharacteristic
661Dic59⋊C4C2×D411yescharacteristic
662Dic59⋊C4C2×D411yescharacteristic
663C4×Dic59—21no—
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59C2×D411yescharacteristic
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2411yescharacteristic
678C4×Dic59C2411yescharacteristic
679C2×C59⋊C8C2411yescharacteristic
680C2×C59⋊C8C2411yescharacteristic
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683#11745660—22no—
684#11745660—22no—
685#11745660—22no—
686#11745660#4114yescomplemented
687#11745659—22no—
688#11745659—41no—
689C8×D59—22no—
690C8×D59—41no—
691C23×C59—21no—
692C23×C59C22×D411yescharacteristic
693C22×D59—21no—
694C22×D59—21no—
695C22×D59—42no—
696C22×D59—42no—
697C22×D59—42no—
698C22×D59—42no—
699C22×D59—81no—
700C22×D59—81no—
701C22×D59C22×D411yescharacteristic
702C22×D59C22×D411yescharacteristic
703Q8×C59—21no—
704Q8×C59—21no—
705Q8×C59—21no—
706Q8×C59—21no—
707Q8×C59—21no—
708Q8×C59—21no—
709Q8×C59—81no—
710D4×C59—21no—
711D4×C59—21no—
712D4×C59—42no—
713C2×C4×C59—22no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—41no—
724C2×C4×C59—42no—
725C2×C4×C59C22×D411yescharacteristic
726C2×C4×C59C22×D411yescharacteristic
727C2×C4×C59C22×D411yescharacteristic
728C2×C4×C59C22×D411yescharacteristic
729C2×C4×C59C22×D411yescharacteristic
730C2×C4×C59C2511yescharacteristic
731C22⋊D59—22no—
732C22⋊D59—42no—
733C22⋊D59—42no—
734C22⋊D59—81no—
735C22⋊D59—81no—
736C22⋊D59#13714yescomplemented
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—42no—
744C2×Dic59—81no—
745C2×Dic59—81no—
746C2×Dic59—81no—
747C2×Dic59C22×D411yescharacteristic
748C2×Dic59C22×D411yescharacteristic
749C2×Dic59C22×D411yescharacteristic
750C2×Dic59C22×D411yescharacteristic
751C2×Dic59C22×D411yescharacteristic
752C2×Dic59C22×D411yescharacteristic
753D236—22no—
754D236—21no—
755D236—21no—
756D236—21no—
757D236—42no—
758D236—42no—
759D236—42no—
760D236—81no—
761D236C2×#4112yes—
762C4×D59—22no—
763C4×D59—21no—
764C4×D59—21no—
765C4×D59—21no—
766C4×D59—21no—
767C4×D59—22no—
768C4×D59—41no—
769C4×D59—41no—
770C4×D59—42no—
771C4×D59—42no—
772C4×D59—42no—
773C4×D59—42no—
774C4×D59—42no—
775C4×D59—42no—
776C4×D59—81no—
777C4×D59—81no—
778C4×D59—81no—
779C4×D59—81no—
780C4×D59—81no—
781C4×D59—81no—
782Dic118—21no—
783Dic118—22no—
784Dic118—21no—
785Dic118—21no—
786Dic118—42no—
787Dic118—42no—
788Dic118—42no—
789Dic118—81no—
790Dic118—81no—
791Dic118—81no—
792Dic118C2×#4112yes—
793C8×C59—21no—
794C8×C59—21no—
795C8×C59—21no—
796C8×C59C2×#4112yes—
797C59⋊C8—21no—
798C59⋊C8—21no—
799C59⋊C8—21no—
800C59⋊C8—21no—
801#61453—591nomaximal, Sylow
802C22×C59—21no—
803C22×C59—21no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59C2×#13712yes—
808C22×C59C23×D411yescharacteristic
809C2×D59—21no—
810C2×D59—21no—
811C2×D59—21no—
812C2×D59—21no—
813C2×D59—22no—
814C2×D59—21no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—84no—
821C2×D59—84no—
822C2×D59C2×#13712yes—
823C4×C59—21no—
824C4×C59—21no—
825C4×C59—21no—
826C4×C59—21no—
827C4×C59—21no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59C22×#4111yescharacteristic
836C4×C59#58511yescharacteristic
837Dic59—21no—
838Dic59—21no—
839Dic59—22no—
840Dic59—21no—
841Dic59—21no—
842Dic59—21no—
843Dic59—41no—
844Dic59—41no—
845Dic59—41no—
846Dic59—41no—
847Dic59—41no—
848Dic59C2×#13712yes—
849#3481—591no—
850Q8×#41—591no—
851#3400—591no—
852#3385—591no—
853#3375—591no—
854#3372—591no—
855#3346—591no—
856#3346—591no—
857#3338—591no—
858#3320—591no—
859#3320—591no—
860#3314—591no—
861#3314—591no—
862#3299—591no—
863#3295—591no—
864D4×SD16—591no—
865#3266—591no—
866#3266—591no—
867#3182—591no—
868#3181—591no—
869#3181D5911yescharacteristic, complemented
870#3117—591no—
871#3117—591no—
872#3116—591no—
873#3112—591no—
874#3110—591no—
875#3110—591no—
876#2970—591no—
877C4×#137—591no—
878C2×#440—591no—
879C2×#440—591no—
880C2×C59—22no—
881C2×C59—81no—
882C2×C59D4×#4111yescharacteristic
883C2×C59C22×#13711yescharacteristic
884C2×C59#358511yescharacteristic
885D59—22no—
886D59—41no—
887D59—42no—
888D59—81no—
889C2×#137—591no—
890C22×SD16—591no—
891C22×SD16—591no—
892#559—591no—
893Q82—591no—
894#557—591no—
895#557—1181no—
896#554—591no—
897#554—591no—
898#554—591no—
899#554—591no—
900#554—591no—
901#554—1181no—
902#554—1181no—
903#554—1181no—
904#553—591no—
905#553—591no—
906#553—1181no—
907#551—1181no—
908#551—1181no—
909D4×Q8—591no—
910D4×Q8—591no—
911D4×Q8—591no—
912#546—591no—
913#546—591no—
914#546—1181no—
915D42—591no—
916#533—591no—
917#533—591no—
918#533—1181no—
919#533—1181no—
920#533—1181no—
921#533C2×D5911yescharacteristic, complemented
922#532—591no—
923#529—591no—
924#529—1181no—
925#529C2×D5911yescharacteristic
926#525—1181no—
927#525—1181no—
928C4×#41—591no—
929C4×#41—591no—
930C4×#41—1181no—
931C2×C4×Q8—591no—
932C2×C4×Q8—591no—
933C2×C4×Q8—591no—
934C2×C4×D4—591no—
935C2×C4×D4—591no—
936C2×C4×D4—1181no—
937#501—591no—
938#501C2×D5911yescharacteristic, complemented
939#500—591no—
940#497—591no—
941#497C2×D5911yescharacteristic, complemented
942#492—591no—
943#491—591no—
944#491C2×D5911yescharacteristic, complemented
945#489—591no—
946#489C2×D5911yescharacteristic, complemented
947#487—591no—
948#486—591no—
949#485—591no—
950#485—591no—
951#484—591no—
952#484—591no—
953#484—591no—
954#484—591no—
955#484—591no—
956#484—591no—
957#481—591no—
958#481—591no—
959#480—591no—
960#480—591no—
961#479—591no—
962#479—591no—
963#479—591no—
964#479—591no—
965#477—591no—
966#477—591no—
967#477—591no—
968#476—591no—
969#474—591no—
970#474—591no—
971#474—591no—
972#474—591no—
973#468—591no—
974#468—591no—
975#468—591no—
976#468—591no—
977#467—591no—
978#467—591no—
979#467C2×D5911yescharacteristic, complemented
980#467C2×D5911yescharacteristic, complemented
981#465—591no—
982#465—591no—
983#465C2×D5911yescharacteristic
984#465C2×D5911yescharacteristic
985#464—591no—
986#464—591no—
987#464—591no—
988#464—591no—
989#462—591no—
990#461—591no—
991#461—591no—
992#461—591no—
993#461—591no—
994#461—591no—
995#460—591no—
996#460—591no—
997#452—591no—
998#452—591no—
999#451—591no—
1000#451—591no—
1001#450—591no—
1002#450—591no—
1003#450—591no—
1004#450—591no—
1005#448—591no—
1006#448—591no—
1007#448—591no—
1008#448—591no—
1009#446—591no—
1010#446—591no—
1011#441—591no—
1012#441—591no—
1013#441C2×D5911yescharacteristic, complemented
1014#441C2×D5911yescharacteristic, complemented
1015#440—591no—
1016#440—591no—
1017#440—591no—
1018#440—591no—
1019#440—591no—
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024#440—591no—
1025#440—591no—
1026#440—591no—
1027#440—591no—
1028#440—591no—
1029#440—591no—
1030#440—591no—
1031#440—591no—
1032#440—591no—
1033#440C2×D5911yescharacteristic, complemented
1034#440C2×D5911yescharacteristic, complemented
1035C4×Q16—591no—
1036C4×Q16—591no—
1037C4×SD16—591no—
1038C4×SD16—591no—
1039#435—591no—
1040#435—591no—
1041#435—591no—
1042#435—591no—
1043C8×D4—591no—
1044C8×D4—591no—
1045#432—591no—
1046#432—591no—
1047#432—591no—
1048#428—591no—
1049C2×#107—591no—
1050C2×#107—591no—
1051#419—591no—
1052#417—591no—
1053C2×#103—591no—
1054C2×#103—591no—
1055C2×#102—591no—
1056C2×#102—591no—
1057C4×M16—591no—
1058C2×#97—591no—
1059C2×#97C2×D5911yescharacteristic, complemented
1060C59#6145311yescharacteristic, complemented, Sylow
1061C2×#41—591no—
1062C2×#41—591no—
1063C2×#41—1181no—
1064C22×Q8—591no—
1065C22×Q8—591no—
1066C22×Q8—591no—
1067C22×D4—591no—
1068C22×D4—591no—
1069C22×D4—1181no—
1070C23×C4—1181no—
1071C23×C4—1181no—
1072#137—1184no—
1073C2×Q16—591no—
1074C2×Q16—591no—
1075C2×Q16C22×D5911yescharacteristic
1076C2×Q16C22×D5911yescharacteristic
1077C2×SD16—591no—
1078C2×SD16—591no—
1079C2×SD16—591no—
1080C2×SD16—591no—
1081C2×SD16—591no—
1082C2×SD16—591no—
1083C2×SD16—591no—
1084C2×SD16—591no—
1085C2×SD16—591no—
1086C2×SD16—591no—
1087C2×SD16—1184no—
1088C2×SD16—1184no—
1089C2×SD16C22×D5911yescharacteristic
1090C2×SD16C22×D5911yescharacteristic
1091C2×M16—591no—
1092C2×M16—591no—
1093C22×C8—591no—
1094C22×C8—591no—
1095C22×C8C22×D5911yescharacteristic
1096C22×C8C22×D5911yescharacteristic
1097C4⋊Q8—591no—
1098C4⋊Q8—591no—
1099C4⋊Q8—591no—
1100C4⋊Q8—591no—
1101C4⋊Q8—591no—
1102C4⋊Q8—1181no—
1103C4⋊Q8—1181no—
1104C4⋊Q8—1181no—
1105C4⋊Q8—1181no—
1106C4⋊Q8—1181no—
1107C4⋊Q8—1181no—
1108C4⋊Q8C22×D5911yescharacteristic
1109C4⋊Q8C22×D5911yescharacteristic
1110#127—591no—
1111#126—21no—
1112#126—1181no—
1113#126—1181no—
1114#126—1181no—
1115#125—21no—
1116#125—591no—
1117#125—1181no—
1118#125—1181no—
1119#125—1181no—
1120#125—1181no—
1121#125—1181no—
1122#125—1181no—
1123#125—1181no—
1124#125—1181no—
1125#125—1181no—
1126#125C22×D5911yescharacteristic
1127#124—591no—
1128#124—1181no—
1129#124—1181no—
1130#124C22×D5911yescharacteristic
1131#123—21no—
1132#123—1181no—
1133#123—1181no—
1134#123—1181no—
1135#123—1181no—
1136#123—1181no—
1137#123—1181no—
1138#123—1181no—
1139C22⋊Q8—21no—
1140C22⋊Q8—591no—
1141C22⋊Q8—591no—
1142C22⋊Q8—591no—
1143C22⋊Q8—591no—
1144C22⋊Q8—591no—
1145C22⋊Q8—1181no—
1146C22⋊Q8—1181no—
1147C22⋊Q8—1181no—
1148C22⋊Q8—1181no—
1149C22⋊Q8—1181no—
1150C22⋊Q8—1181no—
1151C22⋊Q8—1181no—
1152C22⋊Q8—1181no—
1153C22⋊Q8—1181no—
1154C22⋊Q8—1181no—
1155C22⋊Q8—1181no—
1156C22⋊Q8—1181no—
1157C22⋊Q8—1181no—
1158C22⋊Q8—1181no—
1159C22⋊Q8—1181no—
1160C22⋊Q8—1181no—
1161C22⋊Q8—1181no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8C22×D5911yescharacteristic
1165C22⋊Q8C22×D5911yescharacteristic
1166C22⋊Q8C22×D5911yescharacteristic
1167#121—591no—
1168#121—591no—
1169#121—591no—
1170#121—1181no—
1171#121—1181no—
1172#121—1181no—
1173#121—1181no—
1174#121—1181no—
1175#121—1181no—
1176#121C22×D5911yescharacteristic
1177#120—1181no—
1178#120—1181no—
1179#120—1181no—
1180#120—1181no—
1181C4×Q8—21no—
1182C4×Q8—591no—
1183C4×Q8—591no—
1184C4×Q8—591no—
1185C4×Q8—591no—
1186C4×Q8—591no—
1187C4×Q8—591no—
1188C4×Q8—591no—
1189C4×Q8—591no—
1190C4×Q8—591no—
1191C4×Q8—591no—
1192C4×Q8—591no—
1193C4×Q8—1181no—
1194C4×Q8—1181no—
1195C4×Q8—1181no—
1196C4×Q8—1181no—
1197C4×Q8—1181no—
1198C4×Q8—1181no—
1199C4×Q8—1181no—
1200C4×Q8—1181no—
1201C4×Q8—1181no—
1202C4×Q8—1181no—
1203C4×Q8C22×D5911yescharacteristic
1204C4×Q8C22×D5911yescharacteristic
1205C4×Q8C22×D5911yescharacteristic
1206C4×D4—21no—
1207C4×D4—591no—
1208C4×D4—591no—
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—591no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—1181no—
1221C4×D4—1181no—
1222C4×D4—1181no—
1223C4×D4—1181no—
1224C4×D4—1181no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4C22×D5911yescharacteristic
1239#117—21no—
1240#117—21no—
1241#117—591no—
1242#117—591no—
1243#117—591no—
1244#117—591no—
1245#117—1181no—
1246#117—1181no—
1247#117—1181no—
1248#117—1181no—
1249C2×C4⋊C4—591no—
1250C2×C4⋊C4—591no—
1251C2×C4⋊C4—591no—
1252C2×C4⋊C4—591no—
1253C2×C4⋊C4—591no—
1254C2×C4⋊C4—1181no—
1255C2×C4⋊C4—1181no—
1256C2×C4⋊C4—1181no—
1257C2×C4⋊C4—1181no—
1258C2×C22⋊C4—1181no—
1259C2×C22⋊C4—1181no—
1260C2×C22⋊C4—1181no—
1261C2×C22⋊C4—1181no—
1262C2×C42—591no—
1263C2×C42—591no—
1264C2×C42—1181no—
1265C2×C42—1181no—
1266C2×C42—1181no—
1267C2×C42—1181no—
1268C2×C42C22×D5911yescharacteristic
1269#107—591no—
1270#107—591no—
1271#107—591no—
1272#107—591no—
1273#107—591no—
1274#107—591no—
1275#107—591no—
1276#107—591no—
1277#107—591no—
1278#107—591no—
1279#107C22×D5911yescharacteristic
1280#107C22×D5911yescharacteristic
1281#106—591no—
1282#106—591no—
1283#106C22×D5911yescharacteristic
1284#106C22×D5911yescharacteristic
1285C4⋊C8—591no—
1286C4⋊C8—591no—
1287C4⋊C8—591no—
1288C4⋊C8—591no—
1289C4⋊C8—591no—
1290C4⋊C8—591no—
1291#103—591no—
1292#103—591no—
1293#103—591no—
1294#103—591no—
1295#103—591no—
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103—591no—
1302#103—591no—
1303#103—591no—
1304#103—591no—
1305#103C22×D5911yescharacteristic
1306#103C22×D5911yescharacteristic
1307#103C22×D5911yescharacteristic
1308#103C22×D5911yescharacteristic
1309#103C22×D5911yescharacteristic
1310#103C22×D5911yescharacteristic
1311#102—591no—
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102C22×D5911yescharacteristic
1322#102C22×D5911yescharacteristic
1323C22⋊C8—591no—
1324C22⋊C8—591no—
1325C22⋊C8—591no—
1326C22⋊C8—591no—
1327C22⋊C8—591no—
1328C22⋊C8—591no—
1329#97—591no—
1330#97—591no—
1331#97—591no—
1332#97—591no—
1333#97C22×D5911yescharacteristic
1334#97C22×D5911yescharacteristic
1335#97C22×D5911yescharacteristic
1336#97C22×D5911yescharacteristic
1337C4×C8—591no—
1338C4×C8—591no—
1339C24—1181no—
1340C24—1181no—
1341#41—1184no—
1342#41—1182no—
1343#41—4722no—
1344#41—2361no—
1345C2×Q8—21no—
1346C2×Q8—591no—
1347C2×Q8—591no—
1348C2×Q8—591no—
1349C2×Q8—1181no—
1350C2×Q8—1181no—
1351C2×Q8—1181no—
1352C2×Q8—1181no—
1353C2×Q8—1181no—
1354C2×Q8—1182no—
1355C2×Q8—1181no—
1356C2×Q8—1182no—
1357C2×Q8—1182no—
1358C2×Q8—2361no—
1359C2×Q8—2361no—
1360C2×Q8—2361no—
1361C2×Q8C23×D5911yescharacteristic
1362C2×Q8C23×D5911yescharacteristic
1363C2×Q8C23×D5911yescharacteristic
1364C2×D4—21no—
1365C2×D4—591no—
1366C2×D4—591no—
1367C2×D4—591no—
1368C2×D4—591no—
1369C2×D4—591no—
1370C2×D4—1182no—
1371C2×D4—1181no—
1372C2×D4—1181no—
1373C2×D4—1181no—
1374C2×D4—1181no—
1375C2×D4—1181no—
1376C2×D4—1181no—
1377C2×D4—1182no—
1378C2×D4—1181no—
1379C2×D4—1181no—
1380C2×D4—2361no—
1381C2×D4—2361no—
1382C2×D4—2364no—
1383C2×D4C23×D5911yescharacteristic
1384C22×C4—21no—
1385C22×C4—591no—
1386C22×C4—591no—
1387C22×C4—591no—
1388C22×C4—591no—
1389C22×C4—591no—
1390C22×C4—591no—
1391C22×C4—1181no—
1392C22×C4—1181no—
1393C22×C4—1181no—
1394C22×C4—1181no—
1395C22×C4—1181no—
1396C22×C4—1181no—
1397C22×C4—1181no—
1398C22×C4—1181no—
1399C22×C4—1181no—
1400C22×C4—1181no—
1401C22×C4—1181no—
1402C22×C4—1181no—
1403C22×C4—1181no—
1404C22×C4—1181no—
1405C22×C4—1181no—
1406C22×C4—1181no—
1407C22×C4—4722no—
1408C22×C4—4722no—
1409C22×C4D4×D5911yescharacteristic
1410C22×C4D4×D5911yescharacteristic
1411C22×C4C23×D5911yescharacteristic
1412Q16—22no—
1413Q16—41no—
1414Q16—1182no—
1415Q16—2361no—
1416SD16—22no—
1417SD16—41no—
1418SD16—594no—
1419SD16—1182no—
1420SD16—1182no—
1421SD16—1182no—
1422SD16—1182no—
1423SD16—1182no—
1424SD16—1182no—
1425SD16—2361no—
1426SD16—2361no—
1427SD16—2361no—
1428M16—1182no—
1429M16—2361no—
1430C2×C8—22no—
1431C2×C8—41no—
1432C2×C8—591no—
1433C2×C8—591no—
1434C2×C8—591no—
1435C2×C8—591no—
1436C2×C8—1182no—
1437C2×C8—2361no—
1438C2×C8C23×D5911yescharacteristic
1439C2×C8C23×D5911yescharacteristic
1440C2×C8C23×D5911yescharacteristic
1441C2×C8C23×D5911yescharacteristic
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—591no—
1454C4⋊C4—591no—
1455C4⋊C4—591no—
1456C4⋊C4—591no—
1457C4⋊C4—591no—
1458C4⋊C4—591no—
1459C4⋊C4—591no—
1460C4⋊C4—591no—
1461C4⋊C4—591no—
1462C4⋊C4—591no—
1463C4⋊C4—1181no—
1464C4⋊C4—1181no—
1465C4⋊C4—1181no—
1466C4⋊C4—1181no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4—1181no—
1473C4⋊C4—1181no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4C23×D5911yescharacteristic
1492C4⋊C4C23×D5911yescharacteristic
1493C4⋊C4C23×D5911yescharacteristic
1494C4⋊C4C23×D5911yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—591no—
1503C22⋊C4—591no—
1504C22⋊C4—591no—
1505C22⋊C4—591no—
1506C22⋊C4—591no—
1507C22⋊C4—591no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—591no—
1530C42—591no—
1531C42—591no—
1532C42—591no—
1533C42—591no—
1534C42—591no—
1535C42—1181no—
1536C42—1181no—
1537C42—1181no—
1538C42—1181no—
1539C42—1181no—
1540C42—1181no—
1541C42—1181no—
1542C42—1181no—
1543C42—1181no—
1544C42—1181no—
1545C42D4×D5911yescharacteristic
1546C42D4×D5911yescharacteristic
1547C42C23×D5911yescharacteristic
1548C42C23×D5911yescharacteristic
1549C23—21no—
1550C23—591no—
1551C23—591no—
1552C23—1181no—
1553C23—1181no—
1554C23—4721no—
1555C23—4721no—
1556C23—2362no—
1557C23—2362no—
1558C23—2362no—
1559C23—2362no—
1560C23C2×D4×D5911yescharacteristic
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—21no—
1566Q8—21no—
1567Q8—81no—
1568Q8—592no—
1569Q8—1182no—
1570Q8—1181no—
1571Q8—1181no—
1572Q8—1181no—
1573Q8—4721no—
1574Q8—4721no—
1575Q8—4721no—
1576Q8—2362no—
1577Q8—2362no—
1578Q8—2362no—
1579D4—21no—
1580D4—21no—
1581D4—42no—
1582D4—594no—
1583D4—592no—
1584D4—1182no—
1585D4—1182no—
1586D4—1181no—
1587D4—1181no—
1588D4—1181no—
1589D4—4721no—
1590D4—4721no—
1591D4—4721no—
1592D4—2362no—
1593D4—2362no—
1594D4—2362no—
1595D4—2362no—
1596D4—2362no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—41no—
1608C2×C4—42no—
1609C2×C4—591no—
1610C2×C4—591no—
1611C2×C4—591no—
1612C2×C4—591no—
1613C2×C4—591no—
1614C2×C4—591no—
1615C2×C4—1182no—
1616C2×C4—1182no—
1617C2×C4—1181no—
1618C2×C4—1181no—
1619C2×C4—1181no—
1620C2×C4—1181no—
1621C2×C4—1181no—
1622C2×C4—1181no—
1623C2×C4—1181no—
1624C2×C4—1181no—
1625C2×C4—1181no—
1626C2×C4—1181no—
1627C2×C4—4721no—
1628C2×C4—4721no—
1629C2×C4—4721no—
1630C2×C4—4721no—
1631C2×C4—4721no—
1632C2×C4—4721no—
1633C2×C4—4721no—
1634C2×C4—4721no—
1635C2×C4—4721no—
1636C2×C4—2361no—
1637C2×C4—2361no—
1638C2×C4—2362no—
1639C2×C4—2362no—
1640C2×C4—2362no—
1641C2×C4—2362no—
1642C2×C4—2362no—
1643C2×C4—2362no—
1644C2×C4—2362no—
1645C2×C4C2×D4×D5911yescharacteristic
1646C2×C4C2×D4×D5911yescharacteristic
1647C2×C4C2×D4×D5911yescharacteristic
1648C2×C4C2×D4×D5911yescharacteristic
1649C2×C4C2×D4×D5911yescharacteristic
1650C2×C4C24×D5911yescharacteristic
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C8—1181no—
1655C8—1181no—
1656C8—1181no—
1657C8—1181no—
1658C8#41×D5912yes—
1659C22—21no—
1660C22—21no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—592no—
1665C22—1181no—
1666C22—1181no—
1667C22—1181no—
1668C22—1181no—
1669C22—1182no—
1670C22—1181no—
1671C22—4724no—
1672C22—4724no—
1673C22—2361no—
1674C22—2361no—
1675C22—2361no—
1676C22—2361no—
1677C22—2361no—
1678C22#137×D5912yes—
1679C22C22×D4×D5911yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—592no—
1693C4—1181no—
1694C4—1181no—
1695C4—1181no—
1696C4—1182no—
1697C4—1181no—
1698C4—1181no—
1699C4—2361no—
1700C4—2361no—
1701C4—2361no—
1702C4—2361no—
1703C4—2361no—
1704C4C2×#41×D5911yescharacteristic
1705C4#1683823811yescharacteristic
1706C2—22no—
1707C2—81no—
1708C2—1182no—
1709C2—4721no—
1710C2—2361no—
1711C2—2362no—
1712C2#2143758211yescharacteristic
1713C2C2×#137×D5911yescharacteristic
1714C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3181C2
socleC22×C59C23×D4
prime radical#21437702C2
hypercenter#3181D59
hypocenterC59#61453
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3181

Complements

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

NH ≅ G/Ntype
2. #21437674C2semidirect
3. #21437146C2semidirect
4. #21437003C2semidirect
5. #21436907C2semidirect
6. #21436874C2semidirect
7. #21436587C2semidirect
8. #21436580C2semidirect
9. #21436485C2semidirect
10. #21436273C2semidirect
11. #21436266C2semidirect
12. #21436183C2semidirect
13. #21436176C2semidirect
14. #21435967C2semidirect
15. #21435915C2semidirect
16. #21435789C2semidirect
17. #21435605C2semidirect
18. #21435603C2semidirect
19. #21434811C2semidirect
20. #21434803C2semidirect
21. #21434271C2semidirect
22. #21434263C2semidirect
23. #21434256C2semidirect
24. #21434216C2semidirect
25. #21434193C2semidirect
26. #21434191C2semidirect
27. #21433107C2semidirect
28. #21432912C2semidirect
29. C2×#16837504C2semidirect
30. #440×D59C2semidirect
31. C59×#3181C2semidirect
36. #16838132C22semidirect
38. #16838127C22semidirect
39. #16838113C22semidirect
42. #16838110C22semidirect
52. #16838067C22semidirect
54. #16838065C22semidirect
61. #16837956C22semidirect
62. #16837956C22semidirect
72. C2×C4×Dic118C22semidirect
73. C4×Q8×D59C22semidirect
74. C4×Q8×D59C22semidirect
78. #16837809C22semidirect
79. #16837806C22semidirect
80. #16837795C22semidirect
82. #16837769C22semidirect
83. #16837763C22semidirect
84. #16837751C22semidirect
86. #16837746C22semidirect
87. #16837742C22semidirect
88. #16837739C22semidirect
89. #16837736C22semidirect
90. #16837736C22semidirect
91. #16837735C22semidirect
92. #16837735C22semidirect
93. #16837735C22semidirect
96. #16837717C22semidirect
97. #16837714C22semidirect
98. #16837712C22semidirect
99. #16837711C22semidirect
100. #16837706C22semidirect
101. #16837706C22semidirect
102. #16837696C22semidirect
103. #16837695C22semidirect
104. #16837695C22semidirect
107. #16837680C22semidirect
109. #16837679C22semidirect
110. #16837651C22semidirect
111. #16837649C22semidirect
112. #16837647C22semidirect
113. #16837645C22semidirect
114. #16837642C22semidirect
115. #16837640C22semidirect
118. #16837627C22semidirect
119. #16837626C22semidirect
120. #16837621C22semidirect
121. #16837621C22semidirect
122. #16837610C22semidirect
125. #16837605C22semidirect
127. #16837604C22semidirect
132. #16837557C22semidirect
133. #16837556C22semidirect
139. #16837542C22semidirect
141. #16837539C22semidirect
142. #16837530C22semidirect
143. #16837530C22semidirect
144. #16837507C22semidirect
145. #16837507C22semidirect
151. #16837504C22semidirect
152. #16837504C22semidirect
153. #16837504C22semidirect
154. #16837504C22semidirect
155. #16837503C22semidirect
156. #16837502C22semidirect
157. #16837502C22semidirect
161. #16837500C22semidirect
162. #16837500C22semidirect
163. #16837499C22semidirect
164. Q16×Dic59C22semidirect
165. #16837494C22semidirect
168. #16837475C22semidirect
169. #16837475C22semidirect
170. #16837473C22semidirect
171. #16837473C22semidirect
174. #16837459C22semidirect
175. #16837457C22semidirect
176. #16837457C22semidirect
177. #16837441C22semidirect
178. C2×#14273661C22semidirect
179. #107×D59C22semidirect
180. #16837409C22semidirect
182. C2×#14273652C22semidirect
183. #103×D59C22semidirect
186. #16837354C22semidirect
187. #97×D59C22semidirect
188. C59×#533C22semidirect
190. C59×#501C22semidirect
191. C59×#497C22semidirect
192. C59×#491C22semidirect
193. C59×#489C22semidirect
194. C59×#467C22semidirect
195. C59×#467C22semidirect
198. C59×#441C22semidirect
199. C59×#441C22semidirect
200. C59×#440C22semidirect
201. C59×#440C22semidirect
202. C2×#97×C59C22semidirect
686. #11745660#41semidirect
736. C22⋊D59#137semidirect
869. #3181D59semidirect
921. #533C2×D59semidirect
938. #501C2×D59semidirect
941. #497C2×D59semidirect
944. #491C2×D59semidirect
946. #489C2×D59semidirect
979. #467C2×D59semidirect
980. #467C2×D59semidirect
1013. #441C2×D59semidirect
1014. #441C2×D59semidirect
1033. #440C2×D59semidirect
1034. #440C2×D59semidirect
1059. C2×#97C2×D59semidirect
1060. C59#61453semidirect

Maximal subgroups

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

subgroupindex
#214377022
#214376742
#214371462
#214370032
#214369072
#214368742
#214365872
#214365802
#214364852
#214362732
#214362662
#214361832
#214361762
#214359672
#214359152
#214357892
#214356052
#214356032
#214348112
#214348032
#214342712
#214342632
#214342562
#214342162
#214341932
#214341912
#214331072
#214329122
C2×#168375042
#440×D592
C59×#31812
#6145359