Finite Group Databasebeta

← #29481095

Subgroups — #29481095

Order 15104.

1888 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437964C211yesmaximal, characteristic
2Q8×#11745687C211yesmaximal, characteristic, complemented
3#21437146C211yesmaximal, characteristic, complemented
4#21437144C211yesmaximal, characteristic, complemented
5#21436911C211yesmaximal, characteristic, complemented
6#21436905C211yesmaximal, characteristic, complemented
7#21436429C211yesmaximal, characteristic, complemented
8#21436427C211yesmaximal, characteristic, complemented
9#21436183C211yesmaximal, characteristic, complemented
10#21436181C211yesmaximal, characteristic, complemented
11#21436179C211yesmaximal, characteristic, complemented
12#21436177C211yesmaximal, characteristic, complemented
13#21435760C211yesmaximal, characteristic, complemented
14#21435756C211yesmaximal, characteristic, complemented
15#21435607C211yesmaximal, characteristic, complemented
16#21435606C211yesmaximal, characteristic, complemented
17#21435599C211yesmaximal, characteristic, complemented
18#21435480C211yesmaximal, characteristic, complemented
19#21435478C211yesmaximal, characteristic, complemented
20#21435437C211yesmaximal, characteristic, complemented
21#21435104C211yesmaximal, characteristic, complemented
22#21435102C211yesmaximal, characteristic, complemented
23#21435035C211yesmaximal, characteristic, complemented
24#21434216C211yesmaximal, characteristic, complemented
25#21434213C211yesmaximal, characteristic, complemented
26#21434130C211yesmaximal, characteristic, complemented
27#21433566C211yesmaximal, characteristic, complemented
28#21433565C211yesmaximal, characteristic, complemented
29C2×#16837600C211yesmaximal, characteristic, complemented
30#21433208C211yesmaximal, characteristic, complemented
31C59×#3266C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic, complemented
33C2×#14273758C2211yescharacteristic, complemented
34C2×#14273756C2211yescharacteristic, complemented
35C22×#11745671C2211yescharacteristic
36#16838136—21no—
37#16838135C2211yescharacteristic
38#16838134C2211yescharacteristic
39Q8×Dic118C2211yescharacteristic, complemented
40#16838127—21no—
41#16838127C2211yescharacteristic, complemented
42#16838110—21no—
43#16838110—21no—
44#16838110C2211yescharacteristic
45#16838110C2211yescharacteristic, complemented
46#16838109—21no—
47#16838109C2211yescharacteristic
48#16838071C2211yescharacteristic
49#16838070—21no—
50#16838070C2211yescharacteristic
51Q8×C22⋊D59C2211yescharacteristic
52Q8×C22⋊D59C2211yescharacteristic, complemented
53#16838048C2211yescharacteristic
54#16838046C2211yescharacteristic
55#16838043C2211yescharacteristic
56#16838042—21no—
57#16838039—21no—
58#16838004—21no—
59#16838002—21no—
60#16837967—21no—
61#16837957—21no—
62#16837957C2211yescharacteristic, complemented
63#16837954—21no—
64#16837954—21no—
65#16837954C2211yescharacteristic
66#16837954C2211yescharacteristic
67#16837954C2211yescharacteristic, complemented
68#16837951C2211yescharacteristic
69#16837949C2211yescharacteristic
70#16837948C2211yescharacteristic
71#16837947C2211yescharacteristic
72C2×#14273723C2211yescharacteristic
73#16837875—21no—
74C4×#11745687—21no—
75C4×#11745687C2211yescharacteristic
76C2×Q8×Dic59C2211yescharacteristic
77C2×Q8×Dic59C2211yescharacteristic, complemented
78C4×Q8×D59C2211yescharacteristic, complemented
79#16837795C2211yescharacteristic, complemented
80#16837794C2211yescharacteristic, complemented
81#16837793C2211yescharacteristic, complemented
82#16837773C2211yescharacteristic
83#16837773C2211yescharacteristic
84#16837763C2211yescharacteristic, complemented
85#16837762C2211yescharacteristic, complemented
86#16837761C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic
89#16837747C2211yescharacteristic
90#16837738C2211yescharacteristic
91#16837735C2211yescharacteristic
92#16837717C2211yescharacteristic, complemented
93#16837716C2211yescharacteristic, complemented
94#16837714C2211yescharacteristic, complemented
95#16837713C2211yescharacteristic, complemented
96#16837696C2211yescharacteristic, complemented
97#16837696C2211yescharacteristic, complemented
98#16837695C2211yescharacteristic, complemented
99#16837695C2211yescharacteristic, complemented
100#16837695C2211yescharacteristic, complemented
101#16837695C2211yescharacteristic, complemented
102#16837683C2211yescharacteristic, complemented
103#16837682C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837680C2211yescharacteristic, complemented
106#16837651C2211yescharacteristic, complemented
107#16837651C2211yescharacteristic, complemented
108#16837650C2211yescharacteristic, complemented
109#16837648C2211yescharacteristic, complemented
110#16837646C2211yescharacteristic, complemented
111#16837645C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837643C2211yescharacteristic
114#16837641C2211yescharacteristic
115#16837641C2211yescharacteristic
116#16837626C2211yescharacteristic, complemented
117#16837626C2211yescharacteristic, complemented
118#16837625C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837622C2211yescharacteristic, complemented
121#16837622C2211yescharacteristic, complemented
122#16837621C2211yescharacteristic, complemented
123#16837611C2211yescharacteristic, complemented
124#16837611C2211yescharacteristic, complemented
125#16837610C2211yescharacteristic, complemented
126#16837610C2211yescharacteristic, complemented
127#16837610C2211yescharacteristic, complemented
128#16837610C2211yescharacteristic, complemented
129#16837606C2211yescharacteristic, complemented
130#16837605C2211yescharacteristic, complemented
131#16837604C2211yescharacteristic, complemented
132#16837601C2211yescharacteristic
133#16837601C2211yescharacteristic
134#16837600C2211yescharacteristic
135#16837600C2211yescharacteristic
136#16837600C2211yescharacteristic
137#16837600C2211yescharacteristic
138#16837600C2211yescharacteristic
139#16837600C2211yescharacteristic
140#16837600C2211yescharacteristic
141#16837600C2211yescharacteristic
142#16837600C2211yescharacteristic
143#16837600C2211yescharacteristic
144#16837566C2211yescharacteristic, complemented
145#16837564C2211yescharacteristic, complemented
146#16837563C2211yescharacteristic, complemented
147#16837563C2211yescharacteristic, complemented
148#16837562C2211yescharacteristic, complemented
149#16837561C2211yescharacteristic, complemented
150#16837561C2211yescharacteristic, complemented
151#16837558C2211yescharacteristic
152#16837555C2211yescharacteristic
153#16837553C2211yescharacteristic
154#16837552C2211yescharacteristic
155#16837542C2211yescharacteristic, complemented
156#16837541C2211yescharacteristic, complemented
157#16837539C2211yescharacteristic, complemented
158#16837531C2211yescharacteristic, complemented
159#16837530C2211yescharacteristic, complemented
160#16837505C2211yescharacteristic, complemented
161#16837505C2211yescharacteristic, complemented
162#16837504C2211yescharacteristic, complemented
163#16837503C2211yescharacteristic, complemented
164#16837503C2211yescharacteristic, complemented
165#16837502C2211yescharacteristic, complemented
166#16837500C2211yescharacteristic, complemented
167Q16×Dic59C2211yescharacteristic, complemented
168Q16×Dic59C2211yescharacteristic, complemented
169#16837494C2211yescharacteristic, complemented
170#16837494C2211yescharacteristic, complemented
171#16837478C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837474C2211yescharacteristic
174#16837473C2211yescharacteristic
175#16837470C2211yescharacteristic
176#16837457C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837452C2211yescharacteristic
179#16837425C2211yescharacteristic, complemented
180#16837424C2211yescharacteristic, complemented
181C2×Dic59⋊C8C2211yescharacteristic
182#16837404C2211yescharacteristic, complemented
183#16837403C2211yescharacteristic, complemented
184#16837402C2211yescharacteristic, complemented
185#16837400C2211yescharacteristic, complemented
186C2×#14273649C2211yescharacteristic
187C2×#14273648C2211yescharacteristic
188C2×#137×C59C2211yescharacteristic, complemented
189C22×SD16×C59C2211yescharacteristic
190D4×Q8×C59C2211yescharacteristic
191C59×#546C2211yescharacteristic
192C59×#497C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#467C2211yescharacteristic
195C59×#464C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#451C2211yescharacteristic
199C59×#450C2211yescharacteristic
200C59×#448C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C2×#11745687D411yescharacteristic
208C2×#11745687C2311yescharacteristic
209C2×Q8×D59C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C22×C22⋊D59—21no—
212C22×C22⋊D59—21no—
213#14273759—42no—
214#14273758—42no—
215#14273756—42no—
216C2×Dic236C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745671—42no—
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745664C2311yescharacteristic
233C2×#11745659C2311yescharacteristic
234C2×#11745659C2311yescharacteristic
235C22×C59⋊C8C2311yescharacteristic
236#14273727—21no—
237#14273727C2311yescharacteristic
238#14273726—21no—
239#14273726—21no—
240#14273726C2311yescharacteristic
241#14273726C2311yescharacteristic
242#14273726C2311yescharacteristic
243#14273725—21no—
244#14273725—21no—
245#14273725C2311yescharacteristic
246#14273725C2311yescharacteristic
247#14273725C2311yescharacteristic
248#14273723—21no—
249#14273723—21no—
250#14273723—21no—
251#14273723—21no—
252#14273723C2311yescharacteristic
253#14273723C2311yescharacteristic
254#14273723C2311yescharacteristic
255#14273723C2311yescharacteristic
256#14273718—21no—
257#14273718—21no—
258#14273718—21no—
259#14273717—21no—
260#14273717—21no—
261#14273717—21no—
262#14273717—21no—
263#14273717—21no—
264#14273717—21no—
265#14273717—21no—
266#14273716C2311yescharacteristic
267#14273715C2311yescharacteristic
268#14273714C2311yescharacteristic
269#14273713—21no—
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273712—21no—
274#14273712—21no—
275#14273711—21no—
276#14273710—21no—
277#14273709—21no—
278#14273709—21no—
279#14273708—21no—
280#14273707—21no—
281#14273707—21no—
282#14273707—21no—
283#14273706—21no—
284#14273706—21no—
285#14273706C2311yescharacteristic
286#14273706C2311yescharacteristic
287#14273706C2311yescharacteristic
288#14273704—21no—
289#14273704—21no—
290#14273704—21no—
291#14273704—21no—
292#14273704—21no—
293#14273704—21no—
294#14273704—21no—
295#14273703—21no—
296#14273703—21no—
297#14273703C2311yescharacteristic
298#14273703C2311yescharacteristic
299#14273702—21no—
300#14273702C2311yescharacteristic
301#14273701—21no—
302#14273701C2311yescharacteristic
303#14273700—21no—
304#14273700—21no—
305#14273700—21no—
306#14273700—21no—
307#14273700—21no—
308#14273699—21no—
309#14273699—21no—
310#14273699—21no—
311#14273699—21no—
312#14273699—21no—
313#14273698—21no—
314#14273698C2311yescharacteristic
315#14273697—21no—
316#14273696—21no—
317#14273695—21no—
318Q8×Dic59—21no—
319Q8×Dic59—21no—
320Q8×Dic59—21no—
321Q8×Dic59—21no—
322Q8×Dic59C2311yescharacteristic
323Q8×Dic59C2311yescharacteristic
324Q8×Dic59C2311yescharacteristic
325Q8×Dic59C2311yescharacteristic
326Q8×Dic59C2311yescharacteristic
327Q8×Dic59C2311yescharacteristic
328Q8×Dic59C2311yescharacteristic
329Q8×Dic59C2311yescharacteristic
330C4×Dic118—21no—
331C4×Dic118—21no—
332C4×Dic118C2311yescharacteristic
333C4×Dic118C2311yescharacteristic
334#14273692—21no—
335#14273692—21no—
336#14273692—21no—
337#14273692—21no—
338#14273692—21no—
339#14273692—21no—
340#14273692D411yescharacteristic
341#14273692C2311yescharacteristic
342#14273692C2311yescharacteristic
343C4×D236C2311yescharacteristic
344D4×Dic59—21no—
345D4×Dic59D411yescharacteristic
346D4×Dic59C2311yescharacteristic
347#14273689C2311yescharacteristic
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⋊D59C2311yescharacteristic
356C4×C22⋊D59C2311yescharacteristic
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4D411yescharacteristic
365(C22⋊D59)⋊C4D411yescharacteristic
366#14273685—21no—
367#14273685D411yescharacteristic
368#14273683—21no—
369#14273683—21no—
370#14273683—21no—
371#14273683D411yescharacteristic
372#14273683D411yescharacteristic
373C2×C4⋊Dic59—21no—
374C2×C4⋊Dic59—21no—
375C2×C4⋊Dic59C2311yescharacteristic
376C2×C4⋊Dic59C2311yescharacteristic
377C4⋊C4×D59—21no—
378C4⋊C4×D59C2311yescharacteristic
379C2×C22⋊Dic59—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C2×C4×Dic59—21no—
383C2×C4×Dic59—21no—
384C2×C4×Dic59C2311yescharacteristic
385C2×C4×Dic59C2311yescharacteristic
386C42×D59—21no—
387C42×D59C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273661C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273660C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434#14273638C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C22×Q8×C59C2311yescharacteristic
441C22×Q8×C59C2311yescharacteristic
442C22×D4×C59C2311yescharacteristic
443#137×C59—42no—
444C2×Q16×C59C2311yescharacteristic
445C2×Q16×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic
447C2×SD16×C59—42no—
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456C4⋊Q8×C59—21no—
457C4⋊Q8×C59C2311yescharacteristic
458#124×C59C2311yescharacteristic
459#123×C59—21no—
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59—21no—
462C22⋊Q8×C59C2311yescharacteristic
463C22⋊Q8×C59C2311yescharacteristic
464C22⋊Q8×C59C2311yescharacteristic
465#121×C59—21no—
466#121×C59C2311yescharacteristic
467#120×C59—21no—
468C4×Q8×C59C2311yescharacteristic
469C4×D4×C59—21no—
470C4×D4×C59C2311yescharacteristic
471C4×D4×C59C2311yescharacteristic
472C2×C22⋊C4×C59—21no—
473#107×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486#41×C59—41no—
487#41×C59—41no—
488C2×Q8×C59—21no—
489C2×Q8×C59—21no—
490C2×Q8×C59—22no—
491C2×Q8×C59—22no—
492C2×Q8×C59—41no—
493C2×Q8×C59—41no—
494C2×Q8×C59C2411yescharacteristic
495C2×Q8×C59C2411yescharacteristic
496C2×Q8×C59C2411yescharacteristic
497C2×Q8×C59C2411yescharacteristic
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—41no—
502C2×D4×C59—41no—
503C2×D4×C59C2×D411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59C2411yescharacteristic
511C22×C4×C59C2411yescharacteristic
512C2×C22⋊D59—21no—
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—44no—
525C2×C22⋊D59—82no—
526C2×C22⋊D59C2×D411yescharacteristic
527C2×C22⋊D59C2×D411yescharacteristic
528C22×Dic59—21no—
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59C2×D411yescharacteristic
533C22×Dic59C2×D411yescharacteristic
534C22×Dic59C2×D411yescharacteristic
535C22×Dic59C2×D411yescharacteristic
536#11745689—41no—
537#11745689—41no—
538Q8×D59—22no—
539Q8×D59—41no—
540#11745687—24no—
541#11745687—41no—
542#11745687—41no—
543#11745687—82no—
544#11745685—41no—
545#11745685—41no—
546#11745685—82no—
547C2×D236—21no—
548C2×D236—21no—
549C2×D236—21no—
550C2×D236—41no—
551C2×D236—41no—
552C2×D236C2411yescharacteristic
553C2×D236C2411yescharacteristic
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59C2×D411yescharacteristic
561C2×C4×D59C2×D411yescharacteristic
562C2×C4×D59C2411yescharacteristic
563C2×Dic118—21no—
564C2×Dic118—21no—
565C2×Dic118—21no—
566C2×Dic118—21no—
567C2×Dic118—21no—
568C2×Dic118C2×D411yescharacteristic
569C2×Dic118C2411yescharacteristic
570C2×Dic118C2411yescharacteristic
571Q16×C59—22no—
572Q16×C59—41no—
573Q16×C59—41no—
574SD16×C59—22no—
575SD16×C59—22no—
576SD16×C59—41no—
577SD16×C59—41no—
578SD16×C59—41no—
579SD16×C59—41no—
580M16×C59—41no—
581C2×C8×C59—41no—
582C2×C8×C59C2411yescharacteristic
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C4⋊C4×C59—21no—
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59C2×D411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59C2×D411yescharacteristic
603C22⋊C4×C59C2×D411yescharacteristic
604C42×C59—21no—
605C42×C59C2411yescharacteristic
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59C2×D411yescharacteristic
614C22⋊Dic59C2×D411yescharacteristic
615#11745672—22no—
616#11745672—41no—
617#11745672—41no—
618#11745672—41no—
619#11745671—22no—
620#11745671—22no—
621#11745671—41no—
622#11745671—41no—
623#11745671—41no—
624#11745671—41no—
625#11745670—41no—
626#11745670—41no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4C2×D411yescharacteristic
638(C2×D59)⋊C4C2×D411yescharacteristic
639C4⋊Dic59—21no—
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59C2×D411yescharacteristic
651C4⋊Dic59C2411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2×D411yescharacteristic
693C4×Dic59C2×D411yescharacteristic
694C4×Dic59C2411yescharacteristic
695C4×Dic59C2411yescharacteristic
696C4×Dic59C2411yescharacteristic
697#11745664—41no—
698C2×C59⋊C8—41no—
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703Dic236—41no—
704#11745660—41no—
705#11745660—41no—
706#11745659—41no—
707#11745659—41no—
708C23×C59—21no—
709C23×C59—21no—
710C23×C59—42no—
711C23×C59—81no—
712C23×C59—81no—
713C23×C59C22×D411yescharacteristic
714C23×C59C22×D411yescharacteristic
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—42no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59C22×D411yescharacteristic
721Q8×C59—21no—
722Q8×C59—21no—
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—21no—
728Q8×C59—42no—
729Q8×C59—42no—
730Q8×C59H(5,𝔽2)12yes—
731D4×C59—22no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—81no—
737D4×C59—81no—
738D4×C59—81no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—42no—
750C2×C4×C59—42no—
751C2×C4×C59—81no—
752C2×C4×C59—81no—
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C2511yescharacteristic
758C22⋊D59—22no—
759C22⋊D59—22no—
760C22⋊D59—42no—
761C22⋊D59—42no—
762C22⋊D59—42no—
763C22⋊D59—42no—
764C22⋊D59—42no—
765C22⋊D59—42no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C2×Dic59—22no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—41no—
780C2×Dic59—41no—
781C2×Dic59—81no—
782C2×Dic59—81no—
783C2×Dic59—81no—
784C2×Dic59—81no—
785C2×Dic59#13714yescomplemented
786C2×Dic59C22×D411yescharacteristic
787C2×Dic59C22×D411yescharacteristic
788C2×Dic59C22×D411yescharacteristic
789C2×Dic59C22×D411yescharacteristic
790C2×Dic59C22×D411yescharacteristic
791C2×Dic59C22×D411yescharacteristic
792C2×Dic59C22×D411yescharacteristic
793D236—21no—
794D236—21no—
795D236—21no—
796D236—21no—
797D236—81no—
798D236—81no—
799D236—81no—
800C4×D59—21no—
801C4×D59—21no—
802C4×D59—22no—
803C4×D59—41no—
804C4×D59—42no—
805C4×D59—81no—
806C4×D59—81no—
807C4×D59—81no—
808C4×D59—81no—
809C4×D59—81no—
810Dic118—22no—
811Dic118—21no—
812Dic118—21no—
813Dic118—21no—
814Dic118—21no—
815Dic118—42no—
816Dic118—42no—
817Dic118—81no—
818Dic118—81no—
819Dic118—81no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59—21no—
823C8×C59—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8—21no—
827C59⋊C8—21no—
828#61965—591nomaximal, Sylow
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—21no—
833C22×C59—21no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—162no—
841C22×C59C2×#13712yes—
842C22×C59C23×D411yescharacteristic
843C2×D59—21no—
844C2×D59—21no—
845C2×D59—21no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—162no—
853C4×C59—21no—
854C4×C59—22no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—21no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59C2×H(5,𝔽2)11yescharacteristic
864C4×C59#58511yescharacteristic
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876Dic59C2×#13712yes—
877Dic59C2×#13712yes—
878#3508—591no—
879Q8×#41—591no—
880#3400—591no—
881#3400—591no—
882#3375—591no—
883#3375—591no—
884#3333—591no—
885#3333—591no—
886#3314—591no—
887#3314—591no—
888#3314—591no—
889#3314—591no—
890#3278—591no—
891#3278—591no—
892#3266—591no—
893#3266—591no—
894#3266—591no—
895#3266D5911yescharacteristic, complemented
896#3254—591no—
897#3254—591no—
898#3249—591no—
899#3216—591no—
900#3216—591no—
901#3208—591no—
902#3112—591no—
903#3112—591no—
904#3104—591no—
905#3037—591no—
906#3037—591no—
907C2×#460—591no—
908#2989—591no—
909C2×C59—22no—
910C2×C59—41no—
911C2×C59—81no—
912C2×C59—81no—
913C2×C59#348811yescharacteristic
914C2×C59C22×#13711yescharacteristic
915C2×C59#358511yescharacteristic
916D59—41no—
917D59—81no—
918D59—81no—
919C2×#137—591no—
920C2×#137—591no—
921C2×#137—591no—
922C2×#137C2×D5911yescharacteristic, complemented
923C22×SD16—591no—
924C22×SD16C2×D5911yescharacteristic
925#559—591no—
926#559—591no—
927#559—1181no—
928Q82—591no—
929#557—591no—
930#557—1181no—
931#554—591no—
932#554—591no—
933#554—591no—
934#554—1181no—
935#554—1181no—
936#554—1181no—
937#550—591no—
938#550—591no—
939#550—1181no—
940D4×Q8—591no—
941D4×Q8—591no—
942D4×Q8C2×D5911yescharacteristic
943#546—591no—
944#546—591no—
945#546—591no—
946#546—1181no—
947#546—1181no—
948#546C2×D5911yescharacteristic
949#540—1181no—
950#540—1181no—
951#535—1181no—
952#533—591no—
953#533—591no—
954#533—591no—
955#533—591no—
956#533—1181no—
957#533—1181no—
958#533—1181no—
959#532—591no—
960#532—591no—
961#532—591no—
962#532—591no—
963C2×#127—591no—
964#518—1181no—
965C4×#41—591no—
966C4×#41—1181no—
967C2×C4×Q8—591no—
968C2×C4×Q8—591no—
969C2×C4×Q8—591no—
970#497—591no—
971#497—591no—
972#497—591no—
973#497C2×D5911yescharacteristic, complemented
974#492—591no—
975#492—591no—
976#489—591no—
977#489—591no—
978#489—591no—
979#489—591no—
980#486—591no—
981#486—591no—
982#484—591no—
983#484—591no—
984#480—591no—
985#480—591no—
986#480—591no—
987#480—591no—
988#477—591no—
989#477—591no—
990#477—591no—
991#477—591no—
992#477—591no—
993#477—591no—
994#474—591no—
995#474—591no—
996#474—591no—
997#474—591no—
998#468—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#468—591no—
1004#468—591no—
1005#468C2×D5911yescharacteristic, complemented
1006#467—591no—
1007#467—591no—
1008#467—591no—
1009#467C2×D5911yescharacteristic
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#464—591no—
1015#464—591no—
1016#464—591no—
1017#464C2×D5911yescharacteristic, complemented
1018#462—591no—
1019#462—591no—
1020#462—591no—
1021#462—591no—
1022#462—591no—
1023#462—591no—
1024#461—591no—
1025#461—591no—
1026#461—591no—
1027#461C2×D5911yescharacteristic, complemented
1028#460—591no—
1029#460—591no—
1030#460—591no—
1031#460—591no—
1032#460—591no—
1033#460—591no—
1034#460—591no—
1035#460—591no—
1036#460—591no—
1037#460—591no—
1038#460—591no—
1039#460—591no—
1040#452—591no—
1041#452—591no—
1042#452—591no—
1043#452—591no—
1044#452—591no—
1045#452—591no—
1046#452—591no—
1047#452C2×D5911yescharacteristic, complemented
1048#451—591no—
1049#451C2×D5911yescharacteristic
1050#450—591no—
1051#450—591no—
1052#450—591no—
1053#450C2×D5911yescharacteristic
1054#448—591no—
1055#448—591no—
1056#448—591no—
1057#448C2×D5911yescharacteristic, complemented
1058#446—591no—
1059#446—591no—
1060#440—591no—
1061#440—591no—
1062#440—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066#440—591no—
1067#440C2×D5911yescharacteristic, complemented
1068C4×Q16—591no—
1069C4×Q16—591no—
1070C4×Q16—591no—
1071C4×Q16—591no—
1072#436—591no—
1073#436—591no—
1074#435—591no—
1075#435—591no—
1076#435—591no—
1077#435C2×D5911yescharacteristic
1078#432—591no—
1079#432—591no—
1080#431—591no—
1081#423—591no—
1082#423—591no—
1083C2×C4⋊C8—591no—
1084#417—591no—
1085#417—591no—
1086#417—591no—
1087#417—591no—
1088C2×#102—591no—
1089C2×#102—591no—
1090C59#6196511yescharacteristic, complemented, Sylow
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—591no—
1094C2×#41—591no—
1095C2×#41—1181no—
1096C2×#41—1181no—
1097C2×#41C22×D5911yescharacteristic
1098C22×Q8—591no—
1099C22×Q8C22×D5911yescharacteristic
1100C22×Q8C22×D5911yescharacteristic
1101C22×D4—591no—
1102C22×D4—1181no—
1103C22×D4—1181no—
1104C22×D4C22×D5911yescharacteristic
1105#137—42no—
1106#137—2362no—
1107#137—2362no—
1108#137—2362no—
1109C2×Q16—591no—
1110C2×Q16—591no—
1111C2×Q16—591no—
1112C2×Q16—591no—
1113C2×Q16—591no—
1114C2×Q16C22×D5911yescharacteristic
1115C2×Q16C22×D5911yescharacteristic
1116C2×Q16C22×D5911yescharacteristic
1117C2×SD16—42no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16—591no—
1128C2×SD16—2362no—
1129C2×SD16C22×D5911yescharacteristic
1130C2×SD16C22×D5911yescharacteristic
1131C2×SD16C22×D5911yescharacteristic
1132C2×SD16C22×D5911yescharacteristic
1133C2×SD16C22×D5911yescharacteristic
1134C2×SD16C22×D5911yescharacteristic
1135C2×M16—591no—
1136C2×M16—591no—
1137C2×M16—591no—
1138C2×M16C22×D5911yescharacteristic
1139C22×C8—591no—
1140C22×C8C22×D5911yescharacteristic
1141C4⋊Q8—21no—
1142C4⋊Q8—591no—
1143C4⋊Q8—591no—
1144C4⋊Q8—591no—
1145C4⋊Q8—591no—
1146C4⋊Q8—591no—
1147C4⋊Q8—591no—
1148C4⋊Q8—591no—
1149C4⋊Q8—1181no—
1150C4⋊Q8—1181no—
1151C4⋊Q8—1181no—
1152C4⋊Q8—1181no—
1153C4⋊Q8—1181no—
1154C4⋊Q8C22×D5911yescharacteristic
1155#127—591no—
1156#127—591no—
1157#127—591no—
1158#127—591no—
1159#127—1181no—
1160#127—1181no—
1161#127—1181no—
1162#127—1181no—
1163#125—1181no—
1164#125—1181no—
1165#125—1181no—
1166#125—1181no—
1167#125—1181no—
1168#125—1181no—
1169#125—1181no—
1170#125—1181no—
1171#125—1181no—
1172#125—1181no—
1173#124—591no—
1174#124—591no—
1175#124—591no—
1176#124—1181no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#124C22×D5911yescharacteristic
1181#123—21no—
1182#123—1181no—
1183#123—1181no—
1184#123—1181no—
1185#123—1181no—
1186#123—1181no—
1187#123—1181no—
1188#123—1181no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—591no—
1192C22⋊Q8—591no—
1193C22⋊Q8—591no—
1194C22⋊Q8—591no—
1195C22⋊Q8—591no—
1196C22⋊Q8—1181no—
1197C22⋊Q8—1181no—
1198C22⋊Q8—1181no—
1199C22⋊Q8—1181no—
1200C22⋊Q8—1181no—
1201C22⋊Q8—1181no—
1202C22⋊Q8—1181no—
1203C22⋊Q8—1181no—
1204C22⋊Q8—1181no—
1205C22⋊Q8—1181no—
1206C22⋊Q8—1181no—
1207C22⋊Q8—1181no—
1208C22⋊Q8—1181no—
1209C22⋊Q8—1181no—
1210C22⋊Q8C22×D5911yescharacteristic
1211C22⋊Q8C22×D5911yescharacteristic
1212C22⋊Q8C22×D5911yescharacteristic
1213#121—21no—
1214#121—591no—
1215#121—591no—
1216#121—591no—
1217#121—1181no—
1218#121—1181no—
1219#121—1181no—
1220#121—1181no—
1221#121—1181no—
1222#121—1181no—
1223#121—1181no—
1224#121—1181no—
1225#121—1181no—
1226#121—1181no—
1227#121—1181no—
1228#121—1181no—
1229#121—1181no—
1230#121C22×D5911yescharacteristic
1231#120—21no—
1232#120—1181no—
1233#120—1181no—
1234#120—1181no—
1235C4×Q8—591no—
1236C4×Q8—591no—
1237C4×Q8—591no—
1238C4×Q8—591no—
1239C4×Q8—591no—
1240C4×Q8—591no—
1241C4×Q8—591no—
1242C4×Q8—591no—
1243C4×Q8—591no—
1244C4×Q8—591no—
1245C4×Q8—591no—
1246C4×Q8—591no—
1247C4×Q8—591no—
1248C4×Q8—1181no—
1249C4×Q8—1181no—
1250C4×Q8—1181no—
1251C4×Q8—1181no—
1252C4×Q8—1181no—
1253C4×Q8—1181no—
1254C4×Q8—1181no—
1255C4×Q8—1181no—
1256C4×Q8—1181no—
1257C4×Q8—1181no—
1258C4×Q8—1181no—
1259C4×Q8—1181no—
1260C4×Q8C22×D5911yescharacteristic
1261C4×D4—21no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—1181no—
1271C4×D4—1181no—
1272C4×D4—1181no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
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×D4C22×D5911yescharacteristic
1286C4×D4C22×D5911yescharacteristic
1287#117—591no—
1288#117—591no—
1289#117—591no—
1290#117—1181no—
1291#117—1181no—
1292#117—1181no—
1293#117—1181no—
1294C2×C4⋊C4—591no—
1295C2×C4⋊C4—591no—
1296C2×C4⋊C4—591no—
1297C2×C4⋊C4—1181no—
1298C2×C4⋊C4—1181no—
1299C2×C4⋊C4—1181no—
1300C2×C22⋊C4—21no—
1301C2×C22⋊C4—1181no—
1302C2×C22⋊C4—1181no—
1303C2×C22⋊C4—1181no—
1304C2×C42—591no—
1305C2×C42—591no—
1306C2×C42—591no—
1307C2×C42—1181no—
1308C2×C42—1181no—
1309C2×C42—1181no—
1310#107—591no—
1311#107—591no—
1312#107—591no—
1313#107—591no—
1314#107—591no—
1315#107—591no—
1316#107—591no—
1317#107C22×D5911yescharacteristic
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8—591no—
1325C4⋊C8—591no—
1326C4⋊C8—591no—
1327C4⋊C8C22×D5911yescharacteristic
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103—591no—
1334#103—591no—
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103C22×D5911yescharacteristic
1341#103C22×D5911yescharacteristic
1342#103C22×D5911yescharacteristic
1343#103C22×D5911yescharacteristic
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102C22×D5911yescharacteristic
1359#102C22×D5911yescharacteristic
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363C22⋊C8—591no—
1364C22⋊C8C22×D5911yescharacteristic
1365C22⋊C8C22×D5911yescharacteristic
1366#97—591no—
1367#97—591no—
1368#97—591no—
1369#97C22×D5911yescharacteristic
1370C4×C8—591no—
1371C4×C8—591no—
1372C24—21no—
1373C24—1181no—
1374#41—41no—
1375#41—41no—
1376#41—1184no—
1377#41—4722no—
1378#41—4722no—
1379#41—2361no—
1380#41—2361no—
1381#41—2361no—
1382#41—2361no—
1383#41—2361no—
1384#41—2361no—
1385C2×Q8—21no—
1386C2×Q8—21no—
1387C2×Q8—22no—
1388C2×Q8—22no—
1389C2×Q8—41no—
1390C2×Q8—41no—
1391C2×Q8—591no—
1392C2×Q8—591no—
1393C2×Q8—591no—
1394C2×Q8—1181no—
1395C2×Q8—1181no—
1396C2×Q8—1181no—
1397C2×Q8—1181no—
1398C2×Q8—1181no—
1399C2×Q8—1182no—
1400C2×Q8—2361no—
1401C2×Q8C23×D5911yescharacteristic
1402C2×Q8C23×D5911yescharacteristic
1403C2×Q8C23×D5911yescharacteristic
1404C2×Q8C23×D5911yescharacteristic
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—591no—
1411C2×D4—591no—
1412C2×D4—591no—
1413C2×D4—591no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—4722no—
1430C2×D4—2361no—
1431C2×D4—2361no—
1432C2×D4—2364no—
1433C2×D4D4×D5911yescharacteristic
1434C2×D4C23×D5911yescharacteristic
1435C2×D4C23×D5911yescharacteristic
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—591no—
1441C22×C4—591no—
1442C22×C4—591no—
1443C22×C4—591no—
1444C22×C4—591no—
1445C22×C4—591no—
1446C22×C4—591no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4C23×D5911yescharacteristic
1458C22×C4C23×D5911yescharacteristic
1459Q16—22no—
1460Q16—41no—
1461Q16—41no—
1462Q16—1182no—
1463Q16—2361no—
1464Q16—2361no—
1465Q16—2361no—
1466Q16—2361no—
1467SD16—22no—
1468SD16—22no—
1469SD16—41no—
1470SD16—41no—
1471SD16—41no—
1472SD16—41no—
1473SD16—1182no—
1474SD16—1182no—
1475SD16—2361no—
1476SD16—2361no—
1477SD16—2361no—
1478SD16—2361no—
1479SD16—2361no—
1480SD16—2361no—
1481SD16—2361no—
1482SD16—2361no—
1483M16—41no—
1484M16—2361no—
1485M16—2361no—
1486M16—2361no—
1487C2×C8—41no—
1488C2×C8—591no—
1489C2×C8—591no—
1490C2×C8—591no—
1491C2×C8—591no—
1492C2×C8—2361no—
1493C2×C8C23×D5911yescharacteristic
1494C2×C8C23×D5911yescharacteristic
1495C2×C8C23×D5911yescharacteristic
1496C2×C8C23×D5911yescharacteristic
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—591no—
1504C4⋊C4—591no—
1505C4⋊C4—591no—
1506C4⋊C4—591no—
1507C4⋊C4—591no—
1508C4⋊C4—591no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—591no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4D4×D5911yescharacteristic
1542C4⋊C4C23×D5911yescharacteristic
1543C4⋊C4C23×D5911yescharacteristic
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—591no—
1552C22⋊C4—591no—
1553C22⋊C4—591no—
1554C22⋊C4—591no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4D4×D5911yescharacteristic
1573C22⋊C4D4×D5911yescharacteristic
1574C42—21no—
1575C42—591no—
1576C42—591no—
1577C42—591no—
1578C42—591no—
1579C42—591no—
1580C42—591no—
1581C42—591no—
1582C42—591no—
1583C42—591no—
1584C42—1181no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42—1181no—
1591C42—1181no—
1592C42—1181no—
1593C42—1181no—
1594C42—1181no—
1595C42C23×D5911yescharacteristic
1596C23—21no—
1597C23—21no—
1598C23—42no—
1599C23—81no—
1600C23—81no—
1601C23—591no—
1602C23—1181no—
1603C23—1181no—
1604C23—4721no—
1605C23—4721no—
1606C23—2362no—
1607C23C2×D4×D5911yescharacteristic
1608C23C2×D4×D5911yescharacteristic
1609Q8—21no—
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—42no—
1617Q8—42no—
1618Q8—1182no—
1619Q8—1181no—
1620Q8—1181no—
1621Q8—1181no—
1622Q8—1181no—
1623Q8—4721no—
1624Q8—4721no—
1625Q8—4721no—
1626Q8—2362no—
1627Q8—2362no—
1628Q8#1427377212yes—
1629D4—22no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—1182no—
1638D4—1182no—
1639D4—1181no—
1640D4—1181no—
1641D4—1181no—
1642D4—1181no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—4721no—
1648D4—4721no—
1649D4—4721no—
1650D4—4721no—
1651D4—4721no—
1652D4—2362no—
1653D4—2362no—
1654D4—2362no—
1655D4—2362no—
1656D4—2362no—
1657D4—2362no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—42no—
1669C2×C4—42no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—594no—
1673C2×C4—591no—
1674C2×C4—591no—
1675C2×C4—591no—
1676C2×C4—591no—
1677C2×C4—591no—
1678C2×C4—591no—
1679C2×C4—591no—
1680C2×C4—1182no—
1681C2×C4—1182no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—4721no—
1691C2×C4—4721no—
1692C2×C4—4721no—
1693C2×C4—4721no—
1694C2×C4—4721no—
1695C2×C4—4721no—
1696C2×C4—4721no—
1697C2×C4—4721no—
1698C2×C4—4721no—
1699C2×C4—2361no—
1700C2×C4—2362no—
1701C2×C4—2361no—
1702C2×C4—2361no—
1703C2×C4C2×D4×D5911yescharacteristic
1704C2×C4C2×D4×D5911yescharacteristic
1705C2×C4C2×D4×D5911yescharacteristic
1706C2×C4C2×D4×D5911yescharacteristic
1707C2×C4C24×D5911yescharacteristic
1708C8—21no—
1709C8—21no—
1710C8—21no—
1711C8—21no—
1712C8—1181no—
1713C8—1181no—
1714C8—1181no—
1715C8—1181no—
1716C22—21no—
1717C22—21no—
1718C22—21no—
1719C22—21no—
1720C22—21no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—162no—
1728C22—1181no—
1729C22—1181no—
1730C22—1181no—
1731C22—9442no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22—2361no—
1738C22#137×D5912yes—
1739C22C22×D4×D5911yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—22no—
1743C4—21no—
1744C4—21no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—592no—
1751C4—592no—
1752C4—1181no—
1753C4—1181no—
1754C4—1181no—
1755C4—1181no—
1756C4—1181no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4—2361no—
1761C4—2361no—
1762C4—2361no—
1763C4C2×#1427377211yescharacteristic
1764C4#1683823711yescharacteristic
1765C2—22no—
1766C2—41no—
1767C2—81no—
1768C2—81no—
1769C2—4721no—
1770C2—4721no—
1771C2—2361no—
1772C2#2143775611yescharacteristic
1773C2C2×#137×D5911yescharacteristic
1774C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3266C2
socleC22×C59C23×D4
prime radical#21437964C2
hypercenter#3266D59
hypocenterC59#61965
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
2. Q8×#11745687C2semidirect
3. #21437146C2semidirect
4. #21437144C2semidirect
5. #21436911C2semidirect
6. #21436905C2semidirect
7. #21436429C2semidirect
8. #21436427C2semidirect
9. #21436183C2semidirect
10. #21436181C2semidirect
11. #21436179C2semidirect
12. #21436177C2semidirect
13. #21435760C2semidirect
14. #21435756C2semidirect
15. #21435607C2semidirect
16. #21435606C2semidirect
17. #21435599C2semidirect
18. #21435480C2semidirect
19. #21435478C2semidirect
20. #21435437C2semidirect
21. #21435104C2semidirect
22. #21435102C2semidirect
23. #21435035C2semidirect
24. #21434216C2semidirect
25. #21434213C2semidirect
26. #21434130C2semidirect
27. #21433566C2semidirect
28. #21433565C2semidirect
29. C2×#16837600C2semidirect
30. #21433208C2semidirect
31. C59×#3266C2semidirect
32. C2×#14273759C22semidirect
33. C2×#14273758C22semidirect
34. C2×#14273756C22semidirect
39. Q8×Dic118C22semidirect
41. #16838127C22semidirect
45. #16838110C22semidirect
52. Q8×C22⋊D59C22semidirect
62. #16837957C22semidirect
67. #16837954C22semidirect
77. C2×Q8×Dic59C22semidirect
78. C4×Q8×D59C22semidirect
79. #16837795C22semidirect
80. #16837794C22semidirect
81. #16837793C22semidirect
84. #16837763C22semidirect
85. #16837762C22semidirect
86. #16837761C22semidirect
87. #16837760C22semidirect
92. #16837717C22semidirect
93. #16837716C22semidirect
94. #16837714C22semidirect
95. #16837713C22semidirect
96. #16837696C22semidirect
97. #16837696C22semidirect
98. #16837695C22semidirect
99. #16837695C22semidirect
100. #16837695C22semidirect
101. #16837695C22semidirect
102. #16837683C22semidirect
103. #16837682C22semidirect
104. #16837681C22semidirect
105. #16837680C22semidirect
106. #16837651C22semidirect
107. #16837651C22semidirect
108. #16837650C22semidirect
109. #16837648C22semidirect
110. #16837646C22semidirect
111. #16837645C22semidirect
112. #16837645C22semidirect
116. #16837626C22semidirect
117. #16837626C22semidirect
118. #16837625C22semidirect
119. #16837624C22semidirect
120. #16837622C22semidirect
121. #16837622C22semidirect
122. #16837621C22semidirect
123. #16837611C22semidirect
124. #16837611C22semidirect
125. #16837610C22semidirect
126. #16837610C22semidirect
127. #16837610C22semidirect
128. #16837610C22semidirect
129. #16837606C22semidirect
130. #16837605C22semidirect
131. #16837604C22semidirect
144. #16837566C22semidirect
145. #16837564C22semidirect
146. #16837563C22semidirect
147. #16837563C22semidirect
148. #16837562C22semidirect
149. #16837561C22semidirect
150. #16837561C22semidirect
155. #16837542C22semidirect
156. #16837541C22semidirect
157. #16837539C22semidirect
158. #16837531C22semidirect
159. #16837530C22semidirect
160. #16837505C22semidirect
161. #16837505C22semidirect
162. #16837504C22semidirect
163. #16837503C22semidirect
164. #16837503C22semidirect
165. #16837502C22semidirect
166. #16837500C22semidirect
167. Q16×Dic59C22semidirect
168. Q16×Dic59C22semidirect
169. #16837494C22semidirect
170. #16837494C22semidirect
171. #16837478C22semidirect
172. #16837477C22semidirect
176. #16837457C22semidirect
177. #16837456C22semidirect
179. #16837425C22semidirect
180. #16837424C22semidirect
182. #16837404C22semidirect
183. #16837403C22semidirect
184. #16837402C22semidirect
185. #16837400C22semidirect
188. C2×#137×C59C22semidirect
192. C59×#497C22semidirect
193. C59×#468C22semidirect
195. C59×#464C22semidirect
196. C59×#461C22semidirect
197. C59×#452C22semidirect
200. C59×#448C22semidirect
201. C59×#440C22semidirect
785. C2×Dic59#137semidirect
895. #3266D59semidirect
922. C2×#137C2×D59semidirect
973. #497C2×D59semidirect
1005. #468C2×D59semidirect
1017. #464C2×D59semidirect
1027. #461C2×D59semidirect
1047. #452C2×D59semidirect
1057. #448C2×D59semidirect
1067. #440C2×D59semidirect
1090. C59#61965semidirect

Maximal subgroups

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

subgroupindex
#214379642
Q8×#117456872
#214371462
#214371442
#214369112
#214369052
#214364292
#214364272
#214361832
#214361812
#214361792
#214361772
#214357602
#214357562
#214356072
#214356062
#214355992
#214354802
#214354782
#214354372
#214351042
#214351022
#214350352
#214342162
#214342132
#214341302
#214335662
#214335652
C2×#168376002
#214332082
C59×#32662
#6196559