Finite Group Databasebeta

← #29465466

Subgroups — #29465466

Order 15104.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437654C211yesmaximal, characteristic, complemented
2D4×#11745685C211yesmaximal, characteristic, complemented
3#21436284C211yesmaximal, characteristic, complemented
4#21436269C211yesmaximal, characteristic, complemented
5#21436254C211yesmaximal, characteristic, complemented
6#21436239C211yesmaximal, characteristic, complemented
7#21436224C211yesmaximal, characteristic, complemented
8#21436209C211yesmaximal, characteristic, complemented
9#21436194C211yesmaximal, characteristic, complemented
10#21436179C211yesmaximal, characteristic, complemented
11#21436164C211yesmaximal, characteristic, complemented
12#21436149C211yesmaximal, characteristic, complemented
13#21436134C211yesmaximal, characteristic, complemented
14#21436119C211yesmaximal, characteristic, complemented
15#21436104C211yesmaximal, characteristic, complemented
16#21436089C211yesmaximal, characteristic, complemented
17#21436074C211yesmaximal, characteristic, complemented
18#21436059C211yesmaximal, characteristic, complemented
19#21434442C211yesmaximal, characteristic, complemented
20#21434011C211yesmaximal, characteristic, complemented
21#21434011C211yesmaximal, characteristic, complemented
22#21433886C211yesmaximal, characteristic, complemented
23#21433705C211yesmaximal, characteristic, complemented
24#21433677C211yesmaximal, characteristic, complemented
25#21433553C211yesmaximal, characteristic, complemented
26#21433318C211yesmaximal, characteristic, complemented
27#21433318C211yesmaximal, characteristic, complemented
28#21432898C211yesmaximal, characteristic, complemented
29#21432616C211yesmaximal, characteristic, complemented
30C2×#16837399C211yesmaximal, characteristic, complemented
31C2×C59×#435C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic
33C22×#11745685C2211yescharacteristic
34C2×#14273749C2211yescharacteristic
35C2×#14273749C2211yescharacteristic, complemented
36C2×#14273749C2211yescharacteristic, complemented
37#16838122C2211yescharacteristic, complemented
38#16838117C2211yescharacteristic, complemented
39#16838109C2211yescharacteristic, complemented
40#16838098C2211yescharacteristic
41#16838098C2211yescharacteristic, complemented
42#16838092C2211yescharacteristic
43#16838092C2211yescharacteristic, complemented
44#16838087—21no—
45#16838078—21no—
46#16838078—21no—
47#16838073C2211yescharacteristic
48D4×Dic118C2211yescharacteristic
49#16838061C2211yescharacteristic
50#16838061C2211yescharacteristic
51#16838057C2211yescharacteristic
52#16838056C2211yescharacteristic, complemented
53#16838053—21no—
54#16838048C2211yescharacteristic
55#16838048C2211yescharacteristic
56#16838046—21no—
57#16838042—21no—
58#16838042—21no—
59D4×D236C2211yescharacteristic
60D4×C22⋊D59—21no—
61#16837959C2211yescharacteristic, complemented
62#16837952C2211yescharacteristic
63#16837949—21no—
64#16837934—21no—
65#16837932—21no—
66#16837932—21no—
67#16837913C2211yescharacteristic
68#16837913C2211yescharacteristic
69#16837913C2211yescharacteristic, complemented
70#16837913C2211yescharacteristic, complemented
71#16837911—21no—
72#16837911—21no—
73C4×#11745685C2211yescharacteristic
74C4×#11745685C2211yescharacteristic, complemented
75C4×#11745687—21no—
76C4×D4×D59—21no—
77C2×#14273686C2211yescharacteristic, complemented
78C2×#14273686C2211yescharacteristic, complemented
79#16837771C2211yescharacteristic, complemented
80#16837771C2211yescharacteristic, complemented
81#16837767C2211yescharacteristic, complemented
82#16837767C2211yescharacteristic, complemented
83#16837762C2211yescharacteristic, complemented
84#16837762C2211yescharacteristic, complemented
85#16837762C2211yescharacteristic, complemented
86#16837762C2211yescharacteristic, complemented
87#16837744C2211yescharacteristic, complemented
88#16837744C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837744C2211yescharacteristic, complemented
91#16837738C2211yescharacteristic, complemented
92#16837738C2211yescharacteristic, complemented
93#16837733C2211yescharacteristic, complemented
94#16837733C2211yescharacteristic, complemented
95#16837727C2211yescharacteristic, complemented
96#16837727C2211yescharacteristic, complemented
97#16837727C2211yescharacteristic, complemented
98#16837727C2211yescharacteristic, complemented
99#16837721C2211yescharacteristic, complemented
100#16837721C2211yescharacteristic, complemented
101#16837716C2211yescharacteristic, complemented
102#16837716C2211yescharacteristic, complemented
103#16837710C2211yescharacteristic, complemented
104#16837710C2211yescharacteristic, complemented
105#16837703C2211yescharacteristic, complemented
106#16837703C2211yescharacteristic, complemented
107#16837698C2211yescharacteristic, complemented
108#16837693C2211yescharacteristic, complemented
109#16837688C2211yescharacteristic, complemented
110#16837683C2211yescharacteristic, complemented
111#16837660C2211yescharacteristic, complemented
112#16837660C2211yescharacteristic, complemented
113#16837655C2211yescharacteristic, complemented
114#16837655C2211yescharacteristic, complemented
115#16837648C2211yescharacteristic, complemented
116#16837648C2211yescharacteristic, complemented
117#16837648C2211yescharacteristic, complemented
118#16837648C2211yescharacteristic, complemented
119#16837643C2211yescharacteristic, complemented
120#16837643C2211yescharacteristic, complemented
121#16837638C2211yescharacteristic, complemented
122#16837638C2211yescharacteristic, complemented
123#16837631C2211yescharacteristic, complemented
124#16837631C2211yescharacteristic, complemented
125#16837631C2211yescharacteristic, complemented
126#16837631C2211yescharacteristic, complemented
127#16837625C2211yescharacteristic, complemented
128#16837625C2211yescharacteristic, complemented
129#16837618C2211yescharacteristic, complemented
130#16837618C2211yescharacteristic, complemented
131#16837613C2211yescharacteristic, complemented
132#16837608C2211yescharacteristic, complemented
133#16837603C2211yescharacteristic, complemented
134#16837598C2211yescharacteristic, complemented
135#16837566C2211yescharacteristic, complemented
136#16837566C2211yescharacteristic, complemented
137#16837566C2211yescharacteristic, complemented
138#16837566C2211yescharacteristic, complemented
139#16837560C2211yescharacteristic, complemented
140#16837560C2211yescharacteristic, complemented
141#16837555C2211yescharacteristic, complemented
142#16837555C2211yescharacteristic, complemented
143#16837549C2211yescharacteristic, complemented
144#16837549C2211yescharacteristic, complemented
145#16837549C2211yescharacteristic, complemented
146#16837549C2211yescharacteristic, complemented
147#16837543C2211yescharacteristic, complemented
148#16837543C2211yescharacteristic, complemented
149#16837538C2211yescharacteristic, complemented
150#16837538C2211yescharacteristic, complemented
151#16837515C2211yescharacteristic, complemented
152#16837515C2211yescharacteristic, complemented
153#16837510C2211yescharacteristic, complemented
154#16837510C2211yescharacteristic, complemented
155#16837504C2211yescharacteristic, complemented
156#16837504C2211yescharacteristic, complemented
157#16837504C2211yescharacteristic, complemented
158#16837504C2211yescharacteristic, complemented
159#16837440C2211yescharacteristic, complemented
160#16837440C2211yescharacteristic, complemented
161#16837440C2211yescharacteristic, complemented
162#16837412C2211yescharacteristic, complemented
163#16837412C2211yescharacteristic, complemented
164#16837408C2211yescharacteristic, complemented
165#16837408C2211yescharacteristic, complemented
166#16837404C2211yescharacteristic, complemented
167#16837404C2211yescharacteristic, complemented
168#16837404C2211yescharacteristic, complemented
169#16837404C2211yescharacteristic, complemented
170#16837399C2211yescharacteristic
171#16837399C2211yescharacteristic
172#16837399C2211yescharacteristic
173#16837399C2211yescharacteristic, complemented
174#16837399C2211yescharacteristic, complemented
175#16837399C2211yescharacteristic, complemented
176#16837399C2211yescharacteristic, complemented
177#16837399C2211yescharacteristic, complemented
178#16837399C2211yescharacteristic, complemented
179#16837399C2211yescharacteristic, complemented
180#16837399C2211yescharacteristic, complemented
181#16837399C2211yescharacteristic, complemented
182#16837399C2211yescharacteristic, complemented
183#16837399C2211yescharacteristic, complemented
184C2×#14273652C2211yescharacteristic, complemented
185C2×#14273652C2211yescharacteristic, complemented
186C2×#14273649C2211yescharacteristic, complemented
187C2×#14273649C2211yescharacteristic, complemented
188C22×M16×C59C2211yescharacteristic, complemented
189C23×C8×C59C2211yescharacteristic, complemented
190C2×C4×D4×C59C2211yescharacteristic
191C59×#435C2211yescharacteristic
192C59×#435C2211yescharacteristic
193C59×#435C2211yescharacteristic, complemented
194C59×#435C2211yescharacteristic, complemented
195C59×#435C2211yescharacteristic, complemented
196C59×#435C2211yescharacteristic, complemented
197C59×#435C2211yescharacteristic, complemented
198C59×#435C2211yescharacteristic, complemented
199C2×C4⋊C8×C59C2211yescharacteristic, complemented
200C2×C22⋊C8×C59C2211yescharacteristic, complemented
201C2×C22⋊C8×C59C2211yescharacteristic, complemented
202C2×#97×C59C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685—24no—
208C2×#11745685—24no—
209C2×#11745685—42no—
210C2×#11745685—42no—
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×#11745685C2311yescharacteristic
216C2×#11745685C2311yescharacteristic
217C2×#11745685C2311yescharacteristic
218C2×#11745685C2311yescharacteristic
219C2×#11745687—21no—
220C22×Dic118C2311yescharacteristic
221C22×Dic118C2311yescharacteristic
222C22×D236C2311yescharacteristic
223C22×D236C2311yescharacteristic
224C22×C22⋊D59—21no—
225C22×C22⋊D59—21no—
226C2×D4×D59—21no—
227C22×C4×D59—21no—
228C22×C4×D59—21no—
229#14273749—24no—
230#14273749—42no—
231#14273749—42no—
232C2×Dic236C2311yescharacteristic
233C2×Dic236C2311yescharacteristic
234C2×Dic236C2311yescharacteristic
235C2×#11745660C2311yescharacteristic
236C2×#11745660C2311yescharacteristic
237C2×#11745660C2311yescharacteristic
238C2×#11745660C2311yescharacteristic
239C2×#11745660C2311yescharacteristic
240C2×#11745660C2311yescharacteristic
241C2×D472C2311yescharacteristic
242C2×D472C2311yescharacteristic
243C2×D472C2311yescharacteristic
244#14273727C2311yescharacteristic
245#14273727C2311yescharacteristic
246#14273727C2311yescharacteristic
247#14273726—21no—
248#14273724C2311yescharacteristic
249#14273723—21no—
250#14273722—21no—
251#14273722—21no—
252#14273720—21no—
253#14273720—21no—
254#14273720—21no—
255#14273720—21no—
256#14273719C2311yescharacteristic
257#14273719C2311yescharacteristic
258#14273718—21no—
259#14273717—21no—
260#14273717—21no—
261#14273715C2311yescharacteristic
262#14273715C2311yescharacteristic
263#14273714—21no—
264#14273713—21no—
265#14273713—21no—
266#14273713—21no—
267#14273713—21no—
268#14273712—21no—
269#14273712—21no—
270#14273711—21no—
271#14273711—21no—
272#14273710—21no—
273#14273710—21no—
274#14273710—21no—
275#14273710—21no—
276#14273709—21no—
277#14273709—21no—
278#14273709—21no—
279#14273709—21no—
280#14273708—21no—
281#14273708—21no—
282#14273707—21no—
283#14273706—21no—
284#14273706—21no—
285#14273706C2311yescharacteristic
286#14273706C2311yescharacteristic
287#14273706C2311yescharacteristic
288#14273706C2311yescharacteristic
289#14273706C2311yescharacteristic
290#14273706C2311yescharacteristic
291#14273706C2311yescharacteristic
292#14273706C2311yescharacteristic
293#14273705—21no—
294#14273705—21no—
295#14273704—21no—
296#14273704—21no—
297#14273704—21no—
298#14273704—21no—
299#14273702—21no—
300#14273701—21no—
301#14273701—21no—
302#14273701C2311yescharacteristic
303#14273701C2311yescharacteristic
304#14273701C2311yescharacteristic
305#14273701C2311yescharacteristic
306#14273701C2311yescharacteristic
307#14273701C2311yescharacteristic
308#14273701C2311yescharacteristic
309#14273701C2311yescharacteristic
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273700—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273698—21no—
319#14273698—21no—
320#14273697—21no—
321#14273697—21no—
322#14273696—21no—
323#14273696—21no—
324#14273696—21no—
325#14273696—21no—
326#14273695—21no—
327#14273695—21no—
328C4×Dic118—21no—
329C4×Dic118—21no—
330C4×Dic118C2311yescharacteristic
331C4×Dic118C2311yescharacteristic
332C4×Dic118C2311yescharacteristic
333C4×Dic118C2311yescharacteristic
334#14273692—21no—
335C4×D236—21no—
336C4×D236—21no—
337C4×D236C2311yescharacteristic
338C4×D236C2311yescharacteristic
339C4×D236C2311yescharacteristic
340C4×D236C2311yescharacteristic
341D4×Dic59—21no—
342D4×Dic59—21no—
343#14273689—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59—21no—
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360#14273686—21no—
361#14273686—21no—
362#14273686—21no—
363#14273686—21no—
364#14273686C2311yescharacteristic
365#14273686C2311yescharacteristic
366#14273686C2311yescharacteristic
367#14273686C2311yescharacteristic
368#14273686C2311yescharacteristic
369#14273686C2311yescharacteristic
370#14273686C2311yescharacteristic
371#14273686C2311yescharacteristic
372#14273685—21no—
373#14273684—21no—
374#14273684—21no—
375#14273683—21no—
376#14273683—21no—
377C2×C4⋊Dic59C2311yescharacteristic
378C2×C4⋊Dic59C2311yescharacteristic
379C2×C4⋊Dic59C2311yescharacteristic
380C2×C4⋊Dic59C2311yescharacteristic
381C4⋊C4×D59—21no—
382C2×C22⋊Dic59—21no—
383C2×C22⋊Dic59—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C2×C4×Dic59—21no—
387C2×C4×Dic59—21no—
388C42×D59—21no—
389C42×D59—21no—
390#14273661C2311yescharacteristic
391#14273661C2311yescharacteristic
392#14273661C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273661C2311yescharacteristic
396#14273659C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273659C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273652C2311yescharacteristic
416#14273652C2311yescharacteristic
417#14273652C2311yescharacteristic
418#14273652C2311yescharacteristic
419#14273652C2311yescharacteristic
420#14273652C2311yescharacteristic
421#14273652C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273649C2311yescharacteristic
428#14273649C2311yescharacteristic
429#14273649C2311yescharacteristic
430#14273649C2311yescharacteristic
431#14273649C2311yescharacteristic
432#14273649C2311yescharacteristic
433#14273649C2311yescharacteristic
434#14273649C2311yescharacteristic
435#14273649C2311yescharacteristic
436#14273649C2311yescharacteristic
437#14273649C2311yescharacteristic
438#14273649C2311yescharacteristic
439#14273649C2311yescharacteristic
440#14273649C2311yescharacteristic
441#14273649C2311yescharacteristic
442C22×D4×C59D411yescharacteristic
443C23×C4×C59C2311yescharacteristic
444C23×C4×C59C2311yescharacteristic
445C2×M16×C59—42no—
446C2×M16×C59C2311yescharacteristic
447C2×M16×C59C2311yescharacteristic
448C2×M16×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C22×C8×C59—42no—
451C22×C8×C59C2311yescharacteristic
452C22×C8×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454C22×C8×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456C22×C8×C59C2311yescharacteristic
457C22×C8×C59C2311yescharacteristic
458C22×C8×C59C2311yescharacteristic
459C4×D4×C59D411yescharacteristic
460C4×D4×C59D411yescharacteristic
461C4×D4×C59D411yescharacteristic
462C4×D4×C59D411yescharacteristic
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C2×C4⋊C4×C59D411yescharacteristic
468C2×C22⋊C4×C59D411yescharacteristic
469C2×C22⋊C4×C59D411yescharacteristic
470C2×C42×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊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
483#97×C59C2311yescharacteristic
484#97×C59C2311yescharacteristic
485#97×C59C2311yescharacteristic
486#97×C59C2311yescharacteristic
487C24×C59C2×D411yescharacteristic
488C24×C59C2×D411yescharacteristic
489C23×D59—21no—
490C23×D59—21no—
491C2×D4×C59—42no—
492C2×D4×C59C2×D411yescharacteristic
493C2×D4×C59C2×D411yescharacteristic
494C2×D4×C59C2×D411yescharacteristic
495C2×D4×C59C2×D411yescharacteristic
496C22×C4×C59—22no—
497C22×C4×C59—22no—
498C22×C4×C59—22no—
499C22×C4×C59—22no—
500C22×C4×C59C2×D411yescharacteristic
501C22×C4×C59C2×D411yescharacteristic
502C22×C4×C59C2×D411yescharacteristic
503C22×C4×C59C2×D411yescharacteristic
504C22×C4×C59C2×D411yescharacteristic
505C22×C4×C59C2×D411yescharacteristic
506C22×C4×C59C2×D411yescharacteristic
507C22×C4×C59C2×D411yescharacteristic
508C22×C4×C59C2411yescharacteristic
509C22×C4×C59C2411yescharacteristic
510C22×C4×C59C2411yescharacteristic
511C22×C4×C59C2411yescharacteristic
512C22×C4×C59C2411yescharacteristic
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—44no—
530C2×C22⋊D59—44no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537#11745687—44no—
538D4×D59—44no—
539#11745685—22no—
540#11745685—22no—
541#11745685—22no—
542#11745685—22no—
543#11745685—22no—
544#11745685—22no—
545#11745685—22no—
546#11745685—22no—
547#11745685—22no—
548#11745685—22no—
549#11745685—22no—
550#11745685—41no—
551#11745685—41no—
552#11745685—41no—
553#11745685—41no—
554#11745685—44no—
555#11745685—44no—
556#11745685—44no—
557#11745685—44no—
558#11745685#4114yescomplemented
559C2×D236—22no—
560C2×D236—22no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—41no—
566C2×D236—41no—
567C2×D236C2411yescharacteristic
568C2×D236C2411yescharacteristic
569C2×D236C2411yescharacteristic
570C2×D236C2411yescharacteristic
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—21no—
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—44no—
584C2×C4×D59—44no—
585C2×Dic118—22no—
586C2×Dic118—22no—
587C2×Dic118—21no—
588C2×Dic118—21no—
589C2×Dic118—21no—
590C2×Dic118—21no—
591C2×Dic118—41no—
592C2×Dic118—41no—
593C2×Dic118C2411yescharacteristic
594C2×Dic118C2411yescharacteristic
595C2×Dic118C2411yescharacteristic
596C2×Dic118C2411yescharacteristic
597M16×C59—41no—
598M16×C59—41no—
599M16×C59—41no—
600M16×C59—41no—
601C2×C8×C59—22no—
602C2×C8×C59—22no—
603C2×C8×C59—22no—
604C2×C8×C59—22no—
605C2×C8×C59—41no—
606C2×C8×C59—41no—
607C2×C8×C59—41no—
608C2×C8×C59—41no—
609C2×C8×C59C2411yescharacteristic
610C2×C8×C59C2411yescharacteristic
611C2×C8×C59C2411yescharacteristic
612C2×C8×C59C2411yescharacteristic
613C2×C8×C59C2411yescharacteristic
614C2×C8×C59C2411yescharacteristic
615C2×C8×C59C2411yescharacteristic
616C2×C8×C59C2411yescharacteristic
617C4⋊C4×C59C2×D411yescharacteristic
618C4⋊C4×C59C2×D411yescharacteristic
619C4⋊C4×C59C2×D411yescharacteristic
620C4⋊C4×C59C2×D411yescharacteristic
621C22⋊C4×C59C2×D411yescharacteristic
622C22⋊C4×C59C2×D411yescharacteristic
623C22⋊C4×C59C2×D411yescharacteristic
624C22⋊C4×C59C2×D411yescharacteristic
625C22⋊C4×C59C2×D411yescharacteristic
626C22⋊C4×C59C2×D411yescharacteristic
627C22⋊C4×C59C2×D411yescharacteristic
628C22⋊C4×C59C2×D411yescharacteristic
629C42×C59C2×D411yescharacteristic
630C42×C59C2×D411yescharacteristic
631C42×C59C2411yescharacteristic
632C42×C59C2411yescharacteristic
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—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—
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⋊Dic59C2411yescharacteristic
674C4⋊Dic59C2411yescharacteristic
675C4⋊Dic59C2411yescharacteristic
676C4⋊Dic59C2411yescharacteristic
677C4⋊Dic59C2411yescharacteristic
678C4⋊Dic59C2411yescharacteristic
679C4⋊Dic59C2411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694Dic59⋊C4—21no—
695Dic59⋊C4—21no—
696Dic59⋊C4—21no—
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59—21no—
704C4×Dic59—21no—
705C4×Dic59—21no—
706C4×Dic59—21no—
707C4×Dic59—21no—
708C4×Dic59—21no—
709Dic236—22no—
710Dic236—41no—
711Dic236—41no—
712D472—22no—
713D472—41no—
714D472—41no—
715#11745660—22no—
716#11745660—22no—
717#11745660—41no—
718#11745660—41no—
719#11745660—41no—
720#11745660—41no—
721C23×C59—22no—
722C23×C59—22no—
723C23×C59—22no—
724C23×C59—41no—
725C23×C59—41no—
726C23×C59—41no—
727C23×C59C22×D411yescharacteristic
728C23×C59C22×D411yescharacteristic
729C23×C59C22×D411yescharacteristic
730C23×C59C22×D411yescharacteristic
731C23×C59C22×D411yescharacteristic
732C22×D59—21no—
733C22×D59—21no—
734C22×D59—21no—
735C22×D59—21no—
736C22×D59—42no—
737C22×D59—42no—
738C22×D59—42no—
739C22×D59—42no—
740C22×D59—81no—
741C22×D59—81no—
742D4×C59—22no—
743D4×C59—22no—
744D4×C59—41no—
745D4×C59—41no—
746C2×C4×C59—22no—
747C2×C4×C59—22no—
748C2×C4×C59—22no—
749C2×C4×C59—22no—
750C2×C4×C59—22no—
751C2×C4×C59—22no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—41no—
761C2×C4×C59—41no—
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C22×D411yescharacteristic
768C2×C4×C59C22×D411yescharacteristic
769C2×C4×C59C22×D411yescharacteristic
770C2×C4×C59C22×D411yescharacteristic
771C2×C4×C59C2×#4112yes—
772C2×C4×C59H(5,𝔽2)12yes—
773C2×C4×C59C2511yescharacteristic
774C22⋊D59—24no—
775C22⋊D59—42no—
776C22⋊D59—42no—
777C22⋊D59—42no—
778C22⋊D59—42no—
779C22⋊D59—42no—
780C22⋊D59—42no—
781C22⋊D59—42no—
782C22⋊D59—42no—
783C22⋊D59—42no—
784C22⋊D59—42no—
785C22⋊D59—42no—
786C22⋊D59—81no—
787C22⋊D59—81no—
788C22⋊D59—81no—
789C22⋊D59—81no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—42no—
803C2×Dic59—42no—
804C2×Dic59—42no—
805C2×Dic59—42no—
806C2×Dic59—81no—
807C2×Dic59—81no—
808D236—21no—
809D236—21no—
810D236—21no—
811D236—21no—
812D236—21no—
813D236—21no—
814D236—21no—
815D236—42no—
816D236—42no—
817D236—42no—
818D236—81no—
819D236C2×#4112yes—
820C4×D59—24no—
821C4×D59—42no—
822C4×D59—42no—
823C4×D59—42no—
824C4×D59—42no—
825C4×D59—42no—
826C4×D59—42no—
827C4×D59—42no—
828C4×D59—42no—
829C4×D59—42no—
830C4×D59—81no—
831C4×D59—81no—
832Dic118—21no—
833Dic118—21no—
834Dic118—21no—
835Dic118—21no—
836Dic118—21no—
837Dic118—21no—
838Dic118—21no—
839Dic118—42no—
840Dic118—42no—
841Dic118—42no—
842Dic118—81no—
843Dic118C2×#4112yes—
844C8×C59—21no—
845C8×C59—21no—
846C8×C59—21no—
847C8×C59—21no—
848C8×C59—21no—
849C8×C59—21no—
850C8×C59—21no—
851C8×C59—21no—
852#61141—591nomaximal, Sylow
853C22×C59—21no—
854C22×C59—21no—
855C22×C59—21no—
856C22×C59—21no—
857C22×C59—21no—
858C22×C59—21no—
859C22×C59—21no—
860C22×C59—21no—
861C22×C59—21no—
862C22×C59—21no—
863C22×C59—21no—
864C22×C59—21no—
865C22×C59—21no—
866C22×C59—44no—
867C22×C59—82no—
868C22×C59#54612yes—
869C22×C59#57512yes—
870C22×C59C23×D411yescharacteristic
871C2×D59—22no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—41no—
875C2×D59—41no—
876C2×D59—41no—
877C2×D59—41no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—41no—
881C2×D59—41no—
882C2×D59—41no—
883C2×D59—84no—
884C2×D59—84no—
885C4×C59—21no—
886C4×C59—21no—
887C4×C59—21no—
888C4×C59—21no—
889C4×C59—21no—
890C4×C59—21no—
891C4×C59—21no—
892C4×C59—21no—
893C4×C59#54612yes—
894C4×C59C22×#4111yescharacteristic
895C4×C59C2×H(5,𝔽2)11yescharacteristic
896Dic59—22no—
897Dic59—41no—
898Dic59—41no—
899Dic59—41no—
900Dic59—41no—
901Dic59—41no—
902Dic59—41no—
903Dic59—41no—
904Dic59—41no—
905Dic59—41no—
906Dic59—41no—
907Dic59—41no—
908#3475—591no—
909D4×#41—591no—
910#3321—591no—
911#3320—591no—
912#3319—591no—
913#3318—591no—
914#3317—591no—
915#3316—591no—
916#3315—591no—
917#3314—591no—
918#3313—591no—
919#3312—591no—
920#3311—591no—
921#3310—591no—
922#3309—591no—
923#3308—591no—
924#3307—591no—
925#3306—591no—
926#3135—591no—
927#3091—591no—
928#3091—591no—
929#3076—591no—
930#3054—591no—
931#3050—591no—
932#3035—591no—
933#3002—591no—
934#3002—591no—
935#2943—591no—
936C2×#435D5911yescharacteristic, complemented
937#2896—591no—
938C2×#416—591no—
939C2×C59—22no—
940C2×C59—22no—
941C2×C59—41no—
942C2×C59—41no—
943C2×C59—41no—
944C2×C59C2×#54611yescharacteristic
945C2×C59C2×#57511yescharacteristic
946C2×C59#358411yescharacteristic
947D59—42no—
948D59—81no—
949D59—81no—
950D59—81no—
951C22×#41—591no—
952C22×#41—591no—
953C2×#135—591no—
954C2×#135—591no—
955C2×#135—591no—
956C22×M16C2×D5911yescharacteristic, complemented
957C23×C8C2×D5911yescharacteristic, complemented
958#556—591no—
959#555—591no—
960#554—591no—
961#553—591no—
962#553—591no—
963#552—591no—
964#552—591no—
965#552—1181no—
966#551—1181no—
967#551—1181no—
968#550—591no—
969D4×Q8—591no—
970#548—591no—
971#548—591no—
972#547—591no—
973#547—591no—
974#547—1181no—
975#546—591no—
976#546—591no—
977#546—1181no—
978#546—1181no—
979#546—1181no—
980D42—591no—
981D42—1181no—
982#533—591no—
983#532—591no—
984#532—1181no—
985#529—1181no—
986#529—1181no—
987#529—1181no—
988#525—591no—
989#525—591no—
990#525—591no—
991#525—591no—
992#525—1181no—
993#525—1181no—
994C4×#41—591no—
995C4×#41—591no—
996C4×#41—1181no—
997C2×C4×D4—1181no—
998C2×C4×D4C2×D5911yescharacteristic
999C2×#117—591no—
1000C2×#117—591no—
1001#491—591no—
1002#491—591no—
1003#490—591no—
1004#490—591no—
1005#489—591no—
1006#489—591no—
1007#489—591no—
1008#489—591no—
1009#485—591no—
1010#485—591no—
1011#485—591no—
1012#485—591no—
1013#484—591no—
1014#484—591no—
1015#483—591no—
1016#483—591no—
1017#482—591no—
1018#482—591no—
1019#482—591no—
1020#482—591no—
1021#481—591no—
1022#481—591no—
1023#480—591no—
1024#480—591no—
1025#479—591no—
1026#479—591no—
1027#478—591no—
1028#478—591no—
1029#477—591no—
1030#476—591no—
1031#475—591no—
1032#474—591no—
1033#470—591no—
1034#470—591no—
1035#469—591no—
1036#469—591no—
1037#468—591no—
1038#468—591no—
1039#468—591no—
1040#468—591no—
1041#467—591no—
1042#467—591no—
1043#466—591no—
1044#466—591no—
1045#465—591no—
1046#465—591no—
1047#465—591no—
1048#465—591no—
1049#464—591no—
1050#464—591no—
1051#463—591no—
1052#463—591no—
1053#462—591no—
1054#461—591no—
1055#460—591no—
1056#459—591no—
1057#452—591no—
1058#452—591no—
1059#452—591no—
1060#452—591no—
1061#451—591no—
1062#451—591no—
1063#450—591no—
1064#450—591no—
1065#449—591no—
1066#449—591no—
1067#449—591no—
1068#449—591no—
1069#448—591no—
1070#448—591no—
1071#447—591no—
1072#447—591no—
1073#442—591no—
1074#442—591no—
1075#441—591no—
1076#441—591no—
1077#440—591no—
1078#440—591no—
1079#440—591no—
1080#440—591no—
1081#435C2×D5911yescharacteristic
1082#435C2×D5911yescharacteristic
1083#435C2×D5911yescharacteristic, complemented
1084#435C2×D5911yescharacteristic, complemented
1085#435C2×D5911yescharacteristic, complemented
1086#435C2×D5911yescharacteristic, complemented
1087#435C2×D5911yescharacteristic, complemented
1088#435C2×D5911yescharacteristic, complemented
1089#427—591no—
1090#427—591no—
1091#427—591no—
1092C2×C4⋊C8C2×D5911yescharacteristic, complemented
1093#419—591no—
1094#419—591no—
1095#418—591no—
1096#418—591no—
1097#417—591no—
1098#417—591no—
1099#417—591no—
1100#417—591no—
1101#416—591no—
1102#416—591no—
1103#416—591no—
1104#416—591no—
1105#416—591no—
1106#416—591no—
1107#416—591no—
1108#416—591no—
1109#416—591no—
1110#416—591no—
1111#416—591no—
1112#416—591no—
1113#416—591no—
1114#416—591no—
1115C2×#103—591no—
1116C2×#103—591no—
1117C2×#102—591no—
1118C2×#102—591no—
1119C2×C22⋊C8C2×D5911yescharacteristic, complemented
1120C2×C22⋊C8C2×D5911yescharacteristic, complemented
1121C2×#97C2×D5911yescharacteristic, complemented
1122C59#6114111yescharacteristic, complemented, Sylow
1123C2×#41—591no—
1124C2×#41—591no—
1125C2×#41—591no—
1126C2×#41—591no—
1127C2×#41—591no—
1128C2×#41—591no—
1129C2×#41—591no—
1130C2×#41—591no—
1131C2×#41—1184no—
1132C2×#41—1184no—
1133C2×#41—1181no—
1134C2×#41—1181no—
1135C2×#41—1181no—
1136C2×#41—1181no—
1137C2×#41—1181no—
1138C2×#41—2362no—
1139C2×#41—2362no—
1140C22×Q8—591no—
1141C22×Q8—591no—
1142C22×D4—591no—
1143C22×D4—591no—
1144C22×D4—1181no—
1145C22×D4—1181no—
1146C22×D4—1181no—
1147C22×D4D23611yescharacteristic
1148C23×C4—1181no—
1149C23×C4—1181no—
1150C23×C4C22×D5911yescharacteristic
1151C23×C4C22×D5911yescharacteristic
1152#135—1184no—
1153#135—2362no—
1154#135—2362no—
1155C2×Q16—591no—
1156C2×Q16—591no—
1157C2×Q16—591no—
1158C2×SD16—591no—
1159C2×SD16—591no—
1160C2×SD16—591no—
1161C2×SD16—591no—
1162C2×SD16—591no—
1163C2×SD16—591no—
1164C2×D8—591no—
1165C2×D8—591no—
1166C2×D8—591no—
1167C2×M16—42no—
1168C2×M16C22×D5911yescharacteristic
1169C2×M16C22×D5911yescharacteristic
1170C2×M16C22×D5911yescharacteristic
1171C2×M16C22×D5911yescharacteristic
1172C22×C8—42no—
1173C22×C8C22×D5911yescharacteristic
1174C22×C8C22×D5911yescharacteristic
1175C22×C8C22×D5911yescharacteristic
1176C22×C8C22×D5911yescharacteristic
1177C22×C8C22×D5911yescharacteristic
1178C22×C8C22×D5911yescharacteristic
1179C22×C8C22×D5911yescharacteristic
1180C22×C8C22×D5911yescharacteristic
1181C4⋊Q8—591no—
1182C4⋊Q8—591no—
1183C4⋊Q8—591no—
1184C4⋊Q8—1181no—
1185#127—591no—
1186#127—1181no—
1187#126—1181no—
1188#126—1181no—
1189#126—1181no—
1190#126—1181no—
1191#126—1181no—
1192#126—1181no—
1193#125—591no—
1194#125—591no—
1195#125—1181no—
1196#125—1181no—
1197#125—1181no—
1198#124—591no—
1199#124—591no—
1200#124—1181no—
1201#124—1181no—
1202#124—1181no—
1203#124—1181no—
1204#124—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219C22⋊Q8—591no—
1220C22⋊Q8—591no—
1221C22⋊Q8—591no—
1222C22⋊Q8—591no—
1223C22⋊Q8—591no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236#121—591no—
1237#121—591no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—591no—
1242#121—591no—
1243#121—591no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#120—1181no—
1258#120—1181no—
1259#120—1181no—
1260#120—1181no—
1261#120—1181no—
1262#120—1181no—
1263#120—1181no—
1264#120—1181no—
1265C4×Q8—591no—
1266C4×Q8—591no—
1267C4×Q8—591no—
1268C4×Q8—591no—
1269C4×Q8—1181no—
1270C4×Q8—1181no—
1271C4×Q8—1181no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4D23611yescharacteristic
1298C4×D4D23611yescharacteristic
1299C4×D4D23611yescharacteristic
1300C4×D4D23611yescharacteristic
1301C4×D4C22×D5911yescharacteristic
1302C4×D4C22×D5911yescharacteristic
1303C4×D4C22×D5911yescharacteristic
1304C4×D4C22×D5911yescharacteristic
1305#117—591no—
1306#117—591no—
1307#117—591no—
1308#117—591no—
1309#117—591no—
1310#117—591no—
1311#117—591no—
1312#117—591no—
1313#117—1181no—
1314#117—1181no—
1315#117—1181no—
1316#117—1181no—
1317#117—1181no—
1318#117—1181no—
1319#117—1181no—
1320#117—1181no—
1321#117—1181no—
1322C2×C4⋊C4—591no—
1323C2×C4⋊C4—591no—
1324C2×C4⋊C4—591no—
1325C2×C4⋊C4—591no—
1326C2×C4⋊C4—1181no—
1327C2×C4⋊C4D23611yescharacteristic
1328C2×C22⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C22⋊C4D23611yescharacteristic
1333C2×C22⋊C4D23611yescharacteristic
1334C2×C42—1181no—
1335C2×C42—1181no—
1336C2×C42—1181no—
1337C2×C42—1181no—
1338C2×C42C22×D5911yescharacteristic
1339#107—591no—
1340#107—591no—
1341#107—591no—
1342#107—591no—
1343#107—591no—
1344#107—591no—
1345#106—591no—
1346#106—591no—
1347#106—591no—
1348#106—591no—
1349#106—591no—
1350#106—591no—
1351C4⋊C8C22×D5911yescharacteristic
1352C4⋊C8C22×D5911yescharacteristic
1353C4⋊C8C22×D5911yescharacteristic
1354C4⋊C8C22×D5911yescharacteristic
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#103—591no—
1361#103—591no—
1362#103—591no—
1363#103—591no—
1364#103—591no—
1365#103—591no—
1366#103—591no—
1367#103—591no—
1368#103—591no—
1369#103—591no—
1370#103—591no—
1371#103—591no—
1372#103—591no—
1373#103—591no—
1374#103—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384#102—591no—
1385#102—591no—
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102—591no—
1391#102—591no—
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395C22⋊C8C22×D5911yescharacteristic
1396C22⋊C8C22×D5911yescharacteristic
1397C22⋊C8C22×D5911yescharacteristic
1398C22⋊C8C22×D5911yescharacteristic
1399C22⋊C8C22×D5911yescharacteristic
1400C22⋊C8C22×D5911yescharacteristic
1401C22⋊C8C22×D5911yescharacteristic
1402C22⋊C8C22×D5911yescharacteristic
1403#97C22×D5911yescharacteristic
1404#97C22×D5911yescharacteristic
1405#97C22×D5911yescharacteristic
1406#97C22×D5911yescharacteristic
1407C24—1181no—
1408C24—1181no—
1409C24C2×D23611yescharacteristic
1410C24C2×D23611yescharacteristic
1411#41—594no—
1412#41—1182no—
1413#41—1182no—
1414#41—1182no—
1415#41—1182no—
1416#41—1182no—
1417#41—1182no—
1418#41—1182no—
1419#41—1182no—
1420#41—1182no—
1421#41—1182no—
1422#41—1182no—
1423#41—2364no—
1424#41—2364no—
1425#41—2361no—
1426#41—2361no—
1427#41—2361no—
1428#41—2361no—
1429#41—2364no—
1430#41—2364no—
1431#41—2364no—
1432C2×Q8—591no—
1433C2×Q8—591no—
1434C2×Q8—591no—
1435C2×Q8—591no—
1436C2×Q8—1182no—
1437C2×Q8—1182no—
1438C2×Q8—1181no—
1439C2×Q8—1181no—
1440C2×Q8—1181no—
1441C2×Q8—1181no—
1442C2×Q8—2361no—
1443C2×Q8—2361no—
1444C2×D4—42no—
1445C2×D4—591no—
1446C2×D4—591no—
1447C2×D4—591no—
1448C2×D4—591no—
1449C2×D4—1182no—
1450C2×D4—1182no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—1181no—
1458C2×D4—1181no—
1459C2×D4—1181no—
1460C2×D4—1181no—
1461C2×D4—1181no—
1462C2×D4—1181no—
1463C2×D4—1181no—
1464C2×D4—1181no—
1465C2×D4—1181no—
1466C2×D4—1181no—
1467C2×D4—1181no—
1468C2×D4—1181no—
1469C2×D4—1181no—
1470C2×D4—1181no—
1471C2×D4—2361no—
1472C2×D4—2361no—
1473C2×D4—2364no—
1474C2×D4—2364no—
1475C2×D4—2364no—
1476C2×D4C2×D23611yescharacteristic
1477C2×D4C2×D23611yescharacteristic
1478C2×D4C2×D23611yescharacteristic
1479C2×D4C2×D23611yescharacteristic
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4—1181no—
1489C22×C4—1181no—
1490C22×C4—1181no—
1491C22×C4—1181no—
1492C22×C4—1181no—
1493C22×C4—1181no—
1494C22×C4—1181no—
1495C22×C4—1181no—
1496C22×C4—1181no—
1497C22×C4—1181no—
1498C22×C4—1181no—
1499C22×C4—1181no—
1500C22×C4—1181no—
1501C22×C4—1181no—
1502C22×C4—2364no—
1503C22×C4—2364no—
1504C22×C4C2×D23611yescharacteristic
1505C22×C4C2×D23611yescharacteristic
1506C22×C4C2×D23611yescharacteristic
1507C22×C4C2×D23611yescharacteristic
1508C22×C4C2×D23611yescharacteristic
1509C22×C4C2×D23611yescharacteristic
1510C22×C4C2×D23611yescharacteristic
1511C22×C4C2×D23611yescharacteristic
1512C22×C4C23×D5911yescharacteristic
1513C22×C4C23×D5911yescharacteristic
1514C22×C4C23×D5911yescharacteristic
1515C22×C4C23×D5911yescharacteristic
1516C22×C4C23×D5911yescharacteristic
1517Q16—1182no—
1518Q16—2361no—
1519Q16—2361no—
1520SD16—1182no—
1521SD16—1182no—
1522SD16—2361no—
1523SD16—2361no—
1524SD16—2361no—
1525SD16—2361no—
1526D8—1182no—
1527D8—2361no—
1528D8—2361no—
1529M16—41no—
1530M16—41no—
1531M16—41no—
1532M16—41no—
1533C2×C8—22no—
1534C2×C8—22no—
1535C2×C8—22no—
1536C2×C8—22no—
1537C2×C8—41no—
1538C2×C8—41no—
1539C2×C8—41no—
1540C2×C8—41no—
1541C2×C8C23×D5911yescharacteristic
1542C2×C8C23×D5911yescharacteristic
1543C2×C8C23×D5911yescharacteristic
1544C2×C8C23×D5911yescharacteristic
1545C2×C8C23×D5911yescharacteristic
1546C2×C8C23×D5911yescharacteristic
1547C2×C8C23×D5911yescharacteristic
1548C2×C8C23×D5911yescharacteristic
1549C4⋊C4—591no—
1550C4⋊C4—591no—
1551C4⋊C4—591no—
1552C4⋊C4—591no—
1553C4⋊C4—591no—
1554C4⋊C4—591no—
1555C4⋊C4—591no—
1556C4⋊C4—591no—
1557C4⋊C4—1181no—
1558C4⋊C4—1181no—
1559C4⋊C4—1181no—
1560C4⋊C4—1181no—
1561C4⋊C4—1181no—
1562C4⋊C4—1181no—
1563C4⋊C4—1181no—
1564C4⋊C4—1181no—
1565C4⋊C4—1181no—
1566C4⋊C4—1181no—
1567C4⋊C4—1181no—
1568C4⋊C4—1181no—
1569C4⋊C4—1181no—
1570C4⋊C4—1181no—
1571C4⋊C4—1181no—
1572C4⋊C4—1181no—
1573C4⋊C4—1181no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4—1181no—
1579C4⋊C4—1181no—
1580C4⋊C4—1181no—
1581C4⋊C4C2×D23611yescharacteristic
1582C4⋊C4C2×D23611yescharacteristic
1583C4⋊C4C2×D23611yescharacteristic
1584C4⋊C4C2×D23611yescharacteristic
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C22⋊C4—1181no—
1610C22⋊C4—1181no—
1611C22⋊C4—1181no—
1612C22⋊C4—1181no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4—1181no—
1617C22⋊C4C2×D23611yescharacteristic
1618C22⋊C4C2×D23611yescharacteristic
1619C22⋊C4C2×D23611yescharacteristic
1620C22⋊C4C2×D23611yescharacteristic
1621C22⋊C4C2×D23611yescharacteristic
1622C22⋊C4C2×D23611yescharacteristic
1623C22⋊C4C2×D23611yescharacteristic
1624C22⋊C4C2×D23611yescharacteristic
1625C42—1181no—
1626C42—1181no—
1627C42—1181no—
1628C42—1181no—
1629C42—1181no—
1630C42—1181no—
1631C42—1181no—
1632C42—1181no—
1633C42—1181no—
1634C42—1181no—
1635C42—1181no—
1636C42—1181no—
1637C42C2×D23611yescharacteristic
1638C42C2×D23611yescharacteristic
1639C42C23×D5911yescharacteristic
1640C42C23×D5911yescharacteristic
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—41no—
1645C23—41no—
1646C23—41no—
1647C23—1181no—
1648C23—1181no—
1649C23—1181no—
1650C23—1181no—
1651C23—4721no—
1652C23—4721no—
1653C23—2362no—
1654C23—2362no—
1655C23—2362no—
1656C23—2362no—
1657C23C22×D23611yescharacteristic
1658C23C22×D23611yescharacteristic
1659C23C22×D23611yescharacteristic
1660C23C22×D23611yescharacteristic
1661C23C22×D23611yescharacteristic
1662Q8—592no—
1663Q8—1181no—
1664Q8—1181no—
1665Q8—1181no—
1666Q8—1181no—
1667Q8—1181no—
1668Q8—1181no—
1669Q8—1181no—
1670Q8—4721no—
1671Q8—2362no—
1672Q8—2362no—
1673Q8—2362no—
1674D4—22no—
1675D4—22no—
1676D4—41no—
1677D4—41no—
1678D4—592no—
1679D4—1184no—
1680D4—1181no—
1681D4—1181no—
1682D4—1181no—
1683D4—1181no—
1684D4—1181no—
1685D4—1181no—
1686D4—1181no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—4721no—
1691D4—4721no—
1692D4—2362no—
1693D4—2362no—
1694D4—2362no—
1695D4—2362no—
1696D4—2362no—
1697D4—2362no—
1698D4—2362no—
1699D4—2362no—
1700D4—2362no—
1701D4—2362no—
1702D4—2362no—
1703D4—2362no—
1704D4—2362no—
1705D4—2362no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—1181no—
1723C2×C4—1184no—
1724C2×C4—1181no—
1725C2×C4—1181no—
1726C2×C4—1181no—
1727C2×C4—1181no—
1728C2×C4—1181no—
1729C2×C4—1181no—
1730C2×C4—1181no—
1731C2×C4—1181no—
1732C2×C4—1181no—
1733C2×C4—1181no—
1734C2×C4—1181no—
1735C2×C4—4721no—
1736C2×C4—4721no—
1737C2×C4—4721no—
1738C2×C4—4721no—
1739C2×C4—2362no—
1740C2×C4—2362no—
1741C2×C4—2362no—
1742C2×C4—2362no—
1743C2×C4—2362no—
1744C2×C4—2362no—
1745C2×C4—2362no—
1746C2×C4—2362no—
1747C2×C4—2362no—
1748C2×C4—2362no—
1749C2×C4—2362no—
1750C2×C4—2362no—
1751C2×C4—2362no—
1752C2×C4C22×D23611yescharacteristic
1753C2×C4C22×D23611yescharacteristic
1754C2×C4C22×D23611yescharacteristic
1755C2×C4C22×D23611yescharacteristic
1756C2×C4C22×D23611yescharacteristic
1757C2×C4C22×D23611yescharacteristic
1758C2×C4C22×D23611yescharacteristic
1759C2×C4C22×D23611yescharacteristic
1760C2×C4C22×D23611yescharacteristic
1761C2×C4#41×D5912yes—
1762C2×C4#1427377212yes—
1763C2×C4C24×D5911yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—21no—
1769C8—21no—
1770C8—21no—
1771C8—21no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—44no—
1786C22—82no—
1787C22—1182no—
1788C22—4724no—
1789C22—4724no—
1790C22—2361no—
1791C22—2361no—
1792C22—2361no—
1793C22—2361no—
1794C22—2361no—
1795C22—2361no—
1796C22—2361no—
1797C22—2361no—
1798C22—2361no—
1799C22—2361no—
1800C22—2361no—
1801C22#1683804712yes—
1802C22#1683820212yes—
1803C22C23×D23611yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—21no—
1809C4—21no—
1810C4—21no—
1811C4—21no—
1812C4—1182no—
1813C4—2361no—
1814C4—2361no—
1815C4—2361no—
1816C4—2361no—
1817C4—2361no—
1818C4—2361no—
1819C4—2361no—
1820C4—2361no—
1821C4—2361no—
1822C4—2361no—
1823C4—2361no—
1824C4#1683804712yes—
1825C4C2×#41×D5911yescharacteristic
1826C4C2×#1427377211yescharacteristic
1827C2—22no—
1828C2—22no—
1829C2—41no—
1830C2—41no—
1831C2—41no—
1832C2—4721no—
1833C2—4721no—
1834C2—4721no—
1835C2—2362no—
1836C2C2×#1683804711yescharacteristic
1837C2C2×#1683820211yescharacteristic
1838C2#2143887011yescharacteristic
subgroupG/H
centerC2×C4C22×D236
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC2×C59×#435C2
socleC22×C59C23×D4
hypercenterC2×#435D59
hypocenterC59#61141
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
1. #21437654C2semidirect
2. D4×#11745685C2semidirect
3. #21436284C2semidirect
4. #21436269C2semidirect
5. #21436254C2semidirect
6. #21436239C2semidirect
7. #21436224C2semidirect
8. #21436209C2semidirect
9. #21436194C2semidirect
10. #21436179C2semidirect
11. #21436164C2semidirect
12. #21436149C2semidirect
13. #21436134C2semidirect
14. #21436119C2semidirect
15. #21436104C2semidirect
16. #21436089C2semidirect
17. #21436074C2semidirect
18. #21436059C2semidirect
19. #21434442C2semidirect
20. #21434011C2semidirect
21. #21434011C2semidirect
22. #21433886C2semidirect
23. #21433705C2semidirect
24. #21433677C2semidirect
25. #21433553C2semidirect
26. #21433318C2semidirect
27. #21433318C2semidirect
28. #21432898C2semidirect
29. #21432616C2semidirect
30. C2×#16837399C2semidirect
31. C2×C59×#435C2semidirect
35. C2×#14273749C22semidirect
36. C2×#14273749C22semidirect
37. #16838122C22semidirect
38. #16838117C22semidirect
39. #16838109C22semidirect
41. #16838098C22semidirect
43. #16838092C22semidirect
52. #16838056C22semidirect
61. #16837959C22semidirect
69. #16837913C22semidirect
70. #16837913C22semidirect
74. C4×#11745685C22semidirect
77. C2×#14273686C22semidirect
78. C2×#14273686C22semidirect
79. #16837771C22semidirect
80. #16837771C22semidirect
81. #16837767C22semidirect
82. #16837767C22semidirect
83. #16837762C22semidirect
84. #16837762C22semidirect
85. #16837762C22semidirect
86. #16837762C22semidirect
87. #16837744C22semidirect
88. #16837744C22semidirect
89. #16837744C22semidirect
90. #16837744C22semidirect
91. #16837738C22semidirect
92. #16837738C22semidirect
93. #16837733C22semidirect
94. #16837733C22semidirect
95. #16837727C22semidirect
96. #16837727C22semidirect
97. #16837727C22semidirect
98. #16837727C22semidirect
99. #16837721C22semidirect
100. #16837721C22semidirect
101. #16837716C22semidirect
102. #16837716C22semidirect
103. #16837710C22semidirect
104. #16837710C22semidirect
105. #16837703C22semidirect
106. #16837703C22semidirect
107. #16837698C22semidirect
108. #16837693C22semidirect
109. #16837688C22semidirect
110. #16837683C22semidirect
111. #16837660C22semidirect
112. #16837660C22semidirect
113. #16837655C22semidirect
114. #16837655C22semidirect
115. #16837648C22semidirect
116. #16837648C22semidirect
117. #16837648C22semidirect
118. #16837648C22semidirect
119. #16837643C22semidirect
120. #16837643C22semidirect
121. #16837638C22semidirect
122. #16837638C22semidirect
123. #16837631C22semidirect
124. #16837631C22semidirect
125. #16837631C22semidirect
126. #16837631C22semidirect
127. #16837625C22semidirect
128. #16837625C22semidirect
129. #16837618C22semidirect
130. #16837618C22semidirect
131. #16837613C22semidirect
132. #16837608C22semidirect
133. #16837603C22semidirect
134. #16837598C22semidirect
135. #16837566C22semidirect
136. #16837566C22semidirect
137. #16837566C22semidirect
138. #16837566C22semidirect
139. #16837560C22semidirect
140. #16837560C22semidirect
141. #16837555C22semidirect
142. #16837555C22semidirect
143. #16837549C22semidirect
144. #16837549C22semidirect
145. #16837549C22semidirect
146. #16837549C22semidirect
147. #16837543C22semidirect
148. #16837543C22semidirect
149. #16837538C22semidirect
150. #16837538C22semidirect
151. #16837515C22semidirect
152. #16837515C22semidirect
153. #16837510C22semidirect
154. #16837510C22semidirect
155. #16837504C22semidirect
156. #16837504C22semidirect
157. #16837504C22semidirect
158. #16837504C22semidirect
159. #16837440C22semidirect
160. #16837440C22semidirect
161. #16837440C22semidirect
162. #16837412C22semidirect
163. #16837412C22semidirect
164. #16837408C22semidirect
165. #16837408C22semidirect
166. #16837404C22semidirect
167. #16837404C22semidirect
168. #16837404C22semidirect
169. #16837404C22semidirect
173. #16837399C22semidirect
174. #16837399C22semidirect
175. #16837399C22semidirect
176. #16837399C22semidirect
177. #16837399C22semidirect
178. #16837399C22semidirect
179. #16837399C22semidirect
180. #16837399C22semidirect
181. #16837399C22semidirect
182. #16837399C22semidirect
183. #16837399C22semidirect
184. C2×#14273652C22semidirect
185. C2×#14273652C22semidirect
186. C2×#14273649C22semidirect
187. C2×#14273649C22semidirect
188. C22×M16×C59C22semidirect
189. C23×C8×C59C22semidirect
193. C59×#435C22semidirect
194. C59×#435C22semidirect
195. C59×#435C22semidirect
196. C59×#435C22semidirect
197. C59×#435C22semidirect
198. C59×#435C22semidirect
199. C2×C4⋊C8×C59C22semidirect
200. C2×C22⋊C8×C59C22semidirect
201. C2×C22⋊C8×C59C22semidirect
202. C2×#97×C59C22semidirect
558. #11745685#41semidirect
936. C2×#435D59semidirect
956. C22×M16C2×D59semidirect
957. C23×C8C2×D59semidirect
1083. #435C2×D59semidirect
1084. #435C2×D59semidirect
1085. #435C2×D59semidirect
1086. #435C2×D59semidirect
1087. #435C2×D59semidirect
1088. #435C2×D59semidirect
1092. C2×C4⋊C8C2×D59semidirect
1119. C2×C22⋊C8C2×D59semidirect
1120. C2×C22⋊C8C2×D59semidirect
1121. C2×#97C2×D59semidirect
1122. C59#61141semidirect

Maximal subgroups

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

subgroupindex
#214376542
D4×#117456852
#214362842
#214362692
#214362542
#214362392
#214362242
#214362092
#214361942
#214361792
#214361642
#214361492
#214361342
#214361192
#214361042
#214360892
#214360742
#214360592
#214344422
#214340112
#214338862
#214337052
#214336772
#214335532
#214333182
#214328982
#214326162
C2×#168373992
C2×C59×#4352
#6114159