Finite Group Databasebeta

← #29484119

Subgroups — #29484119

Order 15104.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438614C211yesmaximal, characteristic, complemented
2#21438064C211yesmaximal, characteristic, complemented
3#21437152C211yesmaximal, characteristic, complemented
4#21437148C211yesmaximal, characteristic, complemented
5#21436853C211yesmaximal, characteristic, complemented
6#21436842C211yesmaximal, characteristic, complemented
7#21436371C211yesmaximal, characteristic, complemented
8#21436365C211yesmaximal, characteristic, complemented
9#21436178C211yesmaximal, characteristic, complemented
10#21436173C211yesmaximal, characteristic, complemented
11#21436124C211yesmaximal, characteristic, complemented
12#21436113C211yesmaximal, characteristic, complemented
13#21435691C211yesmaximal, characteristic, complemented
14#21435690C211yesmaximal, characteristic, complemented
15#21435657C211yesmaximal, characteristic, complemented
16#21435651C211yesmaximal, characteristic, complemented
17#21435621C211yesmaximal, characteristic, complemented
18#21435615C211yesmaximal, characteristic, complemented
19#21435524C211yesmaximal, characteristic, complemented
20#21435519C211yesmaximal, characteristic, complemented
21#21435481C211yesmaximal, characteristic, complemented
22#21435168C211yesmaximal, characteristic, complemented
23#21435167C211yesmaximal, characteristic, complemented
24#21435097C211yesmaximal, characteristic, complemented
25#21434358C211yesmaximal, characteristic, complemented
26#21434355C211yesmaximal, characteristic, complemented
27#21434244C211yesmaximal, characteristic, complemented
28#21433630C211yesmaximal, characteristic, complemented
29#21433585C211yesmaximal, characteristic, complemented
30#21433264C211yesmaximal, characteristic, complemented
31C59×#3045C211yesmaximal, characteristic, complemented
32C2×#14273756C2211yescharacteristic, complemented
33C2×#14273751C2211yescharacteristic
34C2×#14273751C2211yescharacteristic, complemented
35C2×#14273746C2211yescharacteristic, complemented
36#16838147—21no—
37#16838145—21no—
38#16838138C2211yescharacteristic
39#16838134C2211yescharacteristic
40#16838130C2211yescharacteristic, complemented
41#16838111C2211yescharacteristic, complemented
42#16838107C2211yescharacteristic, complemented
43#16838101—21no—
44#16838093C2211yescharacteristic, complemented
45#16838092—21no—
46#16838087C2211yescharacteristic, complemented
47#16838085—21no—
48#16838085—21no—
49#16838060C2211yescharacteristic
50#16838059C2211yescharacteristic
51#16838056C2211yescharacteristic, complemented
52#16838051C2211yescharacteristic, complemented
53#16838051C2211yescharacteristic, complemented
54#16838046C2211yescharacteristic
55#16838041—21no—
56#16838040C2211yescharacteristic
57#16838039—21no—
58#16838037C2211yescharacteristic
59D4×C22⋊D59C2211yescharacteristic
60#16838023C2211yescharacteristic
61#16838021C2211yescharacteristic
62#16838014C2211yescharacteristic, complemented
63#16838010C2211yescharacteristic, complemented
64#16837999—21no—
65#16837994—21no—
66#16837989—21no—
67#16837987—21no—
68#16837984—21no—
69#16837965C2211yescharacteristic
70#16837962—21no—
71#16837956C2211yescharacteristic, complemented
72#16837950C2211yescharacteristic
73#16837932—21no—
74#16837930C2211yescharacteristic
75C2×#14273717—21no—
76#124×D59C2211yescharacteristic
77#16837881C2211yescharacteristic, complemented
78C4×#11745687C2211yescharacteristic, complemented
79#16837797C2211yescharacteristic, complemented
80#16837795C2211yescharacteristic, complemented
81#16837793C2211yescharacteristic, complemented
82#16837793C2211yescharacteristic, complemented
83#16837774C2211yescharacteristic
84#16837773C2211yescharacteristic
85#16837766C2211yescharacteristic
86#16837765C2211yescharacteristic
87#16837763C2211yescharacteristic, complemented
88#16837760C2211yescharacteristic, complemented
89#16837756C2211yescharacteristic, complemented
90#16837755C2211yescharacteristic, complemented
91#16837737C2211yescharacteristic, complemented
92#16837736C2211yescharacteristic, complemented
93#16837725C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837715C2211yescharacteristic
96#16837714C2211yescharacteristic
97#16837710C2211yescharacteristic, complemented
98#16837707C2211yescharacteristic, complemented
99#16837704C2211yescharacteristic, complemented
100#16837703C2211yescharacteristic, complemented
101#16837698C2211yescharacteristic, complemented
102#16837697C2211yescharacteristic, complemented
103#16837688C2211yescharacteristic, complemented
104#16837682C2211yescharacteristic, complemented
105#16837680C2211yescharacteristic, complemented
106#16837680C2211yescharacteristic, complemented
107#16837660C2211yescharacteristic, complemented
108#16837657C2211yescharacteristic, complemented
109#16837648C2211yescharacteristic
110#16837647C2211yescharacteristic
111#16837647C2211yescharacteristic, complemented
112#16837647C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837645C2211yescharacteristic, complemented
115#16837643C2211yescharacteristic, complemented
116#16837642C2211yescharacteristic, complemented
117#16837631C2211yescharacteristic
118#16837628C2211yescharacteristic
119#16837627C2211yescharacteristic, complemented
120#16837625C2211yescharacteristic, complemented
121#16837625C2211yescharacteristic, complemented
122#16837624C2211yescharacteristic, complemented
123#16837623C2211yescharacteristic, complemented
124#16837623C2211yescharacteristic, complemented
125#16837621C2211yescharacteristic, complemented
126#16837621C2211yescharacteristic, complemented
127#16837619C2211yescharacteristic, complemented
128#16837617C2211yescharacteristic, complemented
129#16837615C2211yescharacteristic, complemented
130#16837615C2211yescharacteristic, complemented
131#16837613C2211yescharacteristic, complemented
132#16837610C2211yescharacteristic, complemented
133#16837608C2211yescharacteristic, complemented
134#16837605C2211yescharacteristic, complemented
135#16837605C2211yescharacteristic, complemented
136#16837605C2211yescharacteristic, complemented
137#16837601C2211yescharacteristic
138#16837599C2211yescharacteristic, complemented
139#16837599C2211yescharacteristic, complemented
140#16837595C2211yescharacteristic
141#16837565C2211yescharacteristic, complemented
142#16837564C2211yescharacteristic, complemented
143#16837564C2211yescharacteristic, complemented
144#16837564C2211yescharacteristic, complemented
145#16837561C2211yescharacteristic, complemented
146#16837561C2211yescharacteristic, complemented
147#16837559C2211yescharacteristic, complemented
148#16837556C2211yescharacteristic, complemented
149#16837554C2211yescharacteristic
150#16837554C2211yescharacteristic, complemented
151#16837553C2211yescharacteristic, complemented
152#16837553C2211yescharacteristic, complemented
153#16837551C2211yescharacteristic
154#16837551C2211yescharacteristic, complemented
155#16837547C2211yescharacteristic
156#16837544C2211yescharacteristic
157#16837544C2211yescharacteristic, complemented
158#16837544C2211yescharacteristic, complemented
159#16837531C2211yescharacteristic, complemented
160#16837529C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837514C2211yescharacteristic, complemented
163#16837503C2211yescharacteristic, complemented
164#16837502C2211yescharacteristic, complemented
165#16837500C2211yescharacteristic, complemented
166#16837499C2211yescharacteristic, complemented
167#16837499C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169C4×#11745672C2211yescharacteristic, complemented
170#16837494C2211yescharacteristic, complemented
171D8×Dic59C2211yescharacteristic, complemented
172C4×#11745669C2211yescharacteristic, complemented
173#16837479C2211yescharacteristic, complemented
174#16837478C2211yescharacteristic, complemented
175#16837473C2211yescharacteristic, complemented
176#16837473C2211yescharacteristic, complemented
177#16837472C2211yescharacteristic, complemented
178#16837471C2211yescharacteristic, complemented
179#16837463C2211yescharacteristic, complemented
180#16837462C2211yescharacteristic, complemented
181#16837458C2211yescharacteristic, complemented
182#16837427C2211yescharacteristic, complemented
183#16837424C2211yescharacteristic, complemented
184#16837409C2211yescharacteristic, complemented
185#16837405C2211yescharacteristic
186#16837400C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C2×#135×C59C2211yescharacteristic, complemented
190C59×#535C2211yescharacteristic
191C59×#520C2211yescharacteristic, complemented
192C59×#464C2211yescharacteristic, complemented
193C59×#464C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic
197C59×#460C2211yescharacteristic, complemented
198C59×#459C2211yescharacteristic
199C59×#459C2211yescharacteristic, complemented
200C59×#424C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C2×#11745687—21no—
204C2×#11745687C2311yescharacteristic
205C2×#11745687C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C22×C22⋊D59—21no—
209C2×D4×D59—21no—
210C2×D4×D59C2311yescharacteristic
211C2×D4×D59C2311yescharacteristic
212#14273756—42no—
213#14273751—42no—
214#14273751—42no—
215#14273746—42no—
216C2×Dic236C2311yescharacteristic
217C2×Dic236C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745659C2311yescharacteristic
233C2×#11745659C2311yescharacteristic
234C2×#11745659C2311yescharacteristic
235C2×C8×D59C2311yescharacteristic
236#14273727C2311yescharacteristic
237#14273727C2311yescharacteristic
238#14273726C2311yescharacteristic
239#14273725C2311yescharacteristic
240#14273725C2311yescharacteristic
241#14273723C2311yescharacteristic
242#14273722—21no—
243#14273722—21no—
244#14273722—21no—
245#14273722D411yescharacteristic
246#14273721—21no—
247#14273721—21no—
248#14273720—21no—
249#14273720—21no—
250#14273720—21no—
251#14273720D411yescharacteristic
252#14273719—21no—
253#14273719—21no—
254#14273719C2311yescharacteristic
255#14273718C2311yescharacteristic
256#14273717—21no—
257#14273717—21no—
258#14273717—21no—
259#14273717—21no—
260#14273717—21no—
261#14273717—21no—
262#14273717—21no—
263#14273717—21no—
264#14273717—21no—
265#14273717D411yescharacteristic
266#14273716C2311yescharacteristic
267#14273715C2311yescharacteristic
268#14273714—21no—
269#14273714—21no—
270#14273714—21no—
271#14273714C2311yescharacteristic
272#14273714C2311yescharacteristic
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273713D411yescharacteristic
280#14273712—21no—
281#14273712D411yescharacteristic
282#14273711—21no—
283#14273711—21no—
284#14273711—21no—
285#14273711—21no—
286#14273710—21no—
287#14273710—21no—
288#14273710—21no—
289#14273710—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709D411yescharacteristic
293#14273708—21no—
294#14273708—21no—
295#14273708—21no—
296#14273708—21no—
297#14273708—21no—
298#14273707C2311yescharacteristic
299#14273707C2311yescharacteristic
300#14273706—21no—
301#14273706—21no—
302#14273706—21no—
303#14273706C2311yescharacteristic
304#14273706C2311yescharacteristic
305#14273706C2311yescharacteristic
306#14273705—21no—
307#14273705—21no—
308#14273705—21no—
309#14273705D411yescharacteristic
310#14273704—21no—
311#14273704—21no—
312#14273704—21no—
313#14273704—21no—
314#14273703C2311yescharacteristic
315#14273703C2311yescharacteristic
316#14273703C2311yescharacteristic
317#14273701—21no—
318#14273701C2311yescharacteristic
319#14273700—21no—
320#14273700D411yescharacteristic
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273698—21no—
329#14273698—21no—
330#14273698—21no—
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273696—21no—
335#14273696—21no—
336#14273695—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342Q8×Dic59C2311yescharacteristic
343C4×Dic118—21no—
344C4×Dic118—21no—
345C4×Dic118C2311yescharacteristic
346C4×Dic118C2311yescharacteristic
347C4×Dic118C2311yescharacteristic
348C4×Dic118C2311yescharacteristic
349#14273692C2311yescharacteristic
350#14273692C2311yescharacteristic
351C4×D236C2311yescharacteristic
352C4×D236C2311yescharacteristic
353D4×Dic59—21no—
354D4×Dic59—21no—
355D4×Dic59C2311yescharacteristic
356D4×Dic59C2311yescharacteristic
357D4×Dic59C2311yescharacteristic
358D4×Dic59C2311yescharacteristic
359D4×Dic59C2311yescharacteristic
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59C2311yescharacteristic
365C4×C22⋊D59C2311yescharacteristic
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4—21no—
370#14273686—21no—
371#14273685C2311yescharacteristic
372#14273684—21no—
373#14273684—21no—
374#14273684C2311yescharacteristic
375#14273683—21no—
376#14273683—21no—
377C2×C4⋊Dic59—21no—
378C2×Dic59⋊C4—21no—
379C2×Dic59⋊C4—21no—
380C2×Dic59⋊C4—21no—
381C2×Dic59⋊C4—21no—
382C4⋊C4×D59C2311yescharacteristic
383C2×C22⋊Dic59—21no—
384C2×(C2×D59)⋊C4—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C2×C4×Dic59—21no—
388C42×D59C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273661C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273659C2311yescharacteristic
396#14273659C2311yescharacteristic
397C4⋊(C59⋊C8)C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428C22⋊(C59⋊C8)C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C2×#41×C59C2311yescharacteristic
441C22×D4×C59C2311yescharacteristic
442AGL(1,ℤ/8)×C59—42no—
443#135×C59—42no—
444C2×Q16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454#127×C59C2311yescharacteristic
455#127×C59C2311yescharacteristic
456#124×C59C2311yescharacteristic
457#124×C59C2311yescharacteristic
458#121×C59—21no—
459#121×C59—21no—
460#120×C59—21no—
461#120×C59—21no—
462C4×Q8×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×D4×C59—21no—
465C4×D4×C59—21no—
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59—21no—
469#117×C59C2311yescharacteristic
470C2×C4⋊C4×C59—21no—
471C2×C4⋊C4×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475C4⋊C8×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487#41×C59—22no—
488#41×C59—41no—
489#41×C59—41no—
490#41×C59—41no—
491C2×Q8×C59C2411yescharacteristic
492C2×Q8×C59C2411yescharacteristic
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—41no—
501C2×D4×C59—41no—
502C2×D4×C59C2411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
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—82no—
524C2×C22⋊D59C2×D411yescharacteristic
525C2×C22⋊D59C2×D411yescharacteristic
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534Q8×D59—41no—
535Q8×D59—41no—
536#11745687—22no—
537#11745687—22no—
538#11745687—41no—
539#11745687—41no—
540#11745687—41no—
541#11745687—41no—
542#11745687—82no—
543D4×D59—41no—
544D4×D59—41no—
545D4×D59—41no—
546D4×D59—41no—
547D4×D59—82no—
548C2×D236C2×D411yescharacteristic
549C2×D236C2411yescharacteristic
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59C2×D411yescharacteristic
554C2×C4×D59C2×D411yescharacteristic
555C2×C4×D59C2411yescharacteristic
556C2×C4×D59C2411yescharacteristic
557C2×Dic118—21no—
558C2×Dic118—21no—
559C2×Dic118—21no—
560C2×Dic118C2×D411yescharacteristic
561C2×Dic118C2411yescharacteristic
562C2×Dic118C2411yescharacteristic
563C2×Dic118C2411yescharacteristic
564Q16×C59—41no—
565SD16×C59—22no—
566SD16×C59—41no—
567SD16×C59—41no—
568SD16×C59—41no—
569D8×C59—22no—
570D8×C59—22no—
571D8×C59—22no—
572M16×C59—41no—
573C2×C8×C59—41no—
574C2×C8×C59C2411yescharacteristic
575C2×C8×C59C2411yescharacteristic
576C2×C8×C59C2411yescharacteristic
577C2×C8×C59C2411yescharacteristic
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59C2×D411yescharacteristic
582C4⋊C4×C59C2×D411yescharacteristic
583C4⋊C4×C59C2411yescharacteristic
584C4⋊C4×C59C2411yescharacteristic
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59C2×D411yescharacteristic
592C22⋊C4×C59C2×D411yescharacteristic
593C42×C59—21no—
594C42×C59—21no—
595C42×C59C2411yescharacteristic
596C42×C59C2411yescharacteristic
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59C2×D411yescharacteristic
613C22⋊Dic59C2×D411yescharacteristic
614#11745672—41no—
615#11745672—41no—
616#11745672—41no—
617#11745671—41no—
618#11745670—22no—
619#11745670—41no—
620#11745670—41no—
621#11745670—41no—
622#11745670—41no—
623#11745670—41no—
624#11745670—41no—
625#11745669—22no—
626(C2×D59)⋊C4—21no—
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)⋊C4—21no—
638(C2×D59)⋊C4C2×D411yescharacteristic
639(C2×D59)⋊C4C2×D411yescharacteristic
640(C2×D59)⋊C4C2×D411yescharacteristic
641(C2×D59)⋊C4C2×D411yescharacteristic
642(C2×D59)⋊C4C2×D411yescharacteristic
643(C2×D59)⋊C4C2×D411yescharacteristic
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59C2×D411yescharacteristic
652C4⋊Dic59C2×D411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
655C4⋊Dic59C2411yescharacteristic
656C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C4×Dic59C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698Dic236—41no—
699Dic236—41no—
700#11745660—41no—
701#11745660—41no—
702#11745659—41no—
703#11745659—41no—
704#11745659—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—21no—
710C23×C59—81no—
711C23×C59—81no—
712C23×C59—81no—
713C23×C59C22×D411yescharacteristic
714C22×D59—21no—
715C22×D59—42no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59C22×D411yescharacteristic
722C22×D59C22×D411yescharacteristic
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—42no—
735D4×C59—81no—
736D4×C59—81no—
737D4×C59—81no—
738D4×C59—81no—
739D4×C59—81no—
740D4×C59—81no—
741D4×C59H(5,𝔽2)12yes—
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—42no—
749C2×C4×C59—81no—
750C2×C4×C59—81no—
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×C59C22×D411yescharacteristic
758C2×C4×C59C2511yescharacteristic
759C22⋊D59—41no—
760C22⋊D59—41no—
761C22⋊D59—42no—
762C22⋊D59—42no—
763C22⋊D59—42no—
764C22⋊D59—42no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—42no—
780C2×Dic59—42no—
781C2×Dic59—42no—
782C2×Dic59—81no—
783C2×Dic59—81no—
784C2×Dic59—81no—
785C2×Dic59—81no—
786C2×Dic59—81no—
787C2×Dic59C22×D411yescharacteristic
788C2×Dic59C22×D411yescharacteristic
789C2×Dic59C22×D411yescharacteristic
790C2×Dic59C22×D411yescharacteristic
791C2×Dic59C22×D411yescharacteristic
792C2×Dic59C22×D411yescharacteristic
793D236—21no—
794D236—21no—
795D236—41no—
796C4×D59—21no—
797C4×D59—21no—
798C4×D59—21no—
799C4×D59—21no—
800C4×D59—41no—
801C4×D59—41no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805Dic118—21no—
806Dic118—21no—
807Dic118—21no—
808Dic118—21no—
809Dic118—21no—
810Dic118—21no—
811Dic118—41no—
812Dic118—81no—
813Dic118—81no—
814Dic118—81no—
815C8×C59—21no—
816C8×C59—21no—
817C8×C59—21no—
818C8×C59—21no—
819C59⋊C8—21no—
820C59⋊C8—21no—
821C59⋊C8—21no—
822C59⋊C8—21no—
823#62089—591nomaximal, Sylow
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—22no—
827C22×C59—21no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—162no—
840C22×C59C23×D411yescharacteristic
841C2×D59—21no—
842C2×D59—21no—
843C2×D59—21no—
844C2×D59—21no—
845C2×D59—21no—
846C2×D59—21no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—162no—
851C2×D59—162no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59C2×H(5,𝔽2)11yescharacteristic
862C4×C59#58511yescharacteristic
863Dic59—21no—
864Dic59—21no—
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—41no—
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876#3558—591no—
877#3515—591no—
878#3400—591no—
879#3400—591no—
880#3370—591no—
881#3370—591no—
882#3327—591no—
883#3327—591no—
884#3314—591no—
885#3314—591no—
886#3310—591no—
887#3310—591no—
888#3272—591no—
889#3272—591no—
890#3269—591no—
891#3269—591no—
892#3267—591no—
893#3267—591no—
894#3258—591no—
895#3258—591no—
896#3254—591no—
897#3222—591no—
898#3222—591no—
899#3215—591no—
900#3124—591no—
901#3124—591no—
902#3115—591no—
903#3045—591no—
904#3045D5911yescharacteristic, complemented
905#3040—591no—
906#2995—591no—
907C2×C59—41no—
908C2×C59—42no—
909C2×C59—81no—
910C2×C59—81no—
911C2×C59—81no—
912C2×C59#348811yescharacteristic
913C2×C59#358511yescharacteristic
914C2×C59#358611yescharacteristic
915D59—41no—
916D59—41no—
917D59—81no—
918C2×#137—591no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)—591no—
921C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
922C2×#135—591no—
923C2×#135C2×D5911yescharacteristic, complemented
924#562—1181no—
925H(3,𝔽4)—1181no—
926#559—591no—
927#559—591no—
928#557—591no—
929#554—591no—
930#554—591no—
931#553—1181no—
932#552—591no—
933#552—591no—
934#552—1181no—
935#552—1181no—
936#552—1181no—
937#548—591no—
938#548—591no—
939#547—591no—
940#547—591no—
941#547—591no—
942#546—591no—
943#546—591no—
944#546—1181no—
945#546—1181no—
946D42—591no—
947D42—591no—
948#542—591no—
949#542—591no—
950#541—591no—
951#541—591no—
952#539—1181no—
953#539—1181no—
954#538—1181no—
955#538—1181no—
956#538—1181no—
957#535—591no—
958#535C2×D5911yescharacteristic
959#534—1181no—
960#533—591no—
961#532—591no—
962#529—591no—
963#529—1181no—
964C2×#125—1181no—
965C2×#124—591no—
966#520—591no—
967#520C2×D5911yescharacteristic, complemented
968C4×#41—591no—
969#497—591no—
970#497—591no—
971#497—591no—
972#497—591no—
973#492—591no—
974#492—591no—
975#490—591no—
976#490—591no—
977#489—591no—
978#489—591no—
979#488—591no—
980#488—591no—
981#484—591no—
982#484—591no—
983#482—591no—
984#482—591no—
985#480—591no—
986#480—591no—
987#479—591no—
988#479—591no—
989#478—591no—
990#478—591no—
991#477—591no—
992#477—591no—
993#475—591no—
994#474—591no—
995#474—591no—
996#474—591no—
997#470—591no—
998#470—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#468—591no—
1004#468—591no—
1005#467—591no—
1006#467—591no—
1007#465—591no—
1008#465—591no—
1009#464—591no—
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#464C2×D5911yescharacteristic, complemented
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463C2×D5911yescharacteristic, complemented
1024#463C2×D5911yescharacteristic, complemented
1025#462—591no—
1026#462—591no—
1027#461—591no—
1028#461—591no—
1029#461—591no—
1030#461—591no—
1031#460—591no—
1032#460—591no—
1033#460—591no—
1034#460C2×D5911yescharacteristic
1035#460C2×D5911yescharacteristic, complemented
1036#459—591no—
1037#459C2×D5911yescharacteristic
1038#459C2×D5911yescharacteristic, complemented
1039#452—591no—
1040#452—591no—
1041#452—591no—
1042#452—591no—
1043#452—591no—
1044#452—591no—
1045#451—591no—
1046#451—591no—
1047#450—591no—
1048#450—591no—
1049#450—591no—
1050#450—591no—
1051#450—591no—
1052#450—591no—
1053#449—591no—
1054#449—591no—
1055#449—591no—
1056#449—591no—
1057#446—591no—
1058#446—591no—
1059#442—591no—
1060#442—591no—
1061#440—591no—
1062#440—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066#440—591no—
1067C4×Q16—591no—
1068C4×Q16—591no—
1069C4×D8—591no—
1070C4×D8—591no—
1071#436—591no—
1072#436—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076#435—591no—
1077#433—591no—
1078#433—591no—
1079#432—591no—
1080#424—591no—
1081#424C2×D5911yescharacteristic, complemented
1082#423—591no—
1083#419—591no—
1084#418—591no—
1085#417—591no—
1086#417C2×D5911yescharacteristic, complemented
1087C2×#102—591no—
1088C2×#102C2×D5911yescharacteristic, complemented
1089C59#6208911yescharacteristic, complemented, Sylow
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—1181no—
1094C2×#41C22×D5911yescharacteristic
1095C2×#41C22×D5911yescharacteristic
1096C22×Q8—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—1181no—
1100C22×D4—1181no—
1101C22×D4C22×D5911yescharacteristic
1102#137—2362no—
1103AGL(1,ℤ/8)—42no—
1104AGL(1,ℤ/8)—2362no—
1105AGL(1,ℤ/8)—2362no—
1106#135—42no—
1107#135—2362no—
1108C2×Q16—591no—
1109C2×Q16—591no—
1110C2×Q16—591no—
1111C2×Q16—591no—
1112C2×Q16—591no—
1113C2×Q16C22×D5911yescharacteristic
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16C22×D5911yescharacteristic
1125C2×SD16C22×D5911yescharacteristic
1126C2×SD16C22×D5911yescharacteristic
1127C2×SD16C22×D5911yescharacteristic
1128C2×D8—591no—
1129C2×D8C22×D5911yescharacteristic
1130C2×D8C22×D5911yescharacteristic
1131C2×D8C22×D5911yescharacteristic
1132C2×M16—591no—
1133C2×M16—591no—
1134C2×M16—591no—
1135C2×M16C22×D5911yescharacteristic
1136C22×C8—591no—
1137C22×C8C22×D5911yescharacteristic
1138C4⋊Q8—591no—
1139C4⋊Q8—591no—
1140C4⋊Q8—591no—
1141C4⋊Q8—591no—
1142C4⋊Q8—591no—
1143#127—591no—
1144#127C22×D5911yescharacteristic
1145#127C22×D5911yescharacteristic
1146#126—591no—
1147#126—591no—
1148#126—1181no—
1149#126—1181no—
1150#126—1181no—
1151#126—1181no—
1152#126—1181no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#125—591no—
1157#125—591no—
1158#125—591no—
1159#125—1181no—
1160#125—1181no—
1161#125—1181no—
1162#125—1181no—
1163#125—1181no—
1164#125—1181no—
1165#125—1181no—
1166#125—1181no—
1167#125—1181no—
1168#125—1181no—
1169#125—1181no—
1170#124—591no—
1171#124—591no—
1172#124—591no—
1173#124—591no—
1174#124—591no—
1175#124—1181no—
1176#124—1181no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124C22×D5911yescharacteristic
1185#124C22×D5911yescharacteristic
1186#123—591no—
1187#123—591no—
1188#123—1181no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204C22⋊Q8—591no—
1205C22⋊Q8—591no—
1206C22⋊Q8—591no—
1207C22⋊Q8—591no—
1208C22⋊Q8—591no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—591no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223#121—21no—
1224#121—21no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—591no—
1229#121—591no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#120—21no—
1243#120—21no—
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251#120—1181no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×Q8—591no—
1259C4×Q8—1181no—
1260C4×Q8—1181no—
1261C4×Q8C22×D5911yescharacteristic
1262C4×Q8C22×D5911yescharacteristic
1263C4×D4—21no—
1264C4×D4—21no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
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×D4C22×D5911yescharacteristic
1285C4×D4C22×D5911yescharacteristic
1286#117—21no—
1287#117—591no—
1288#117—591no—
1289#117—1181no—
1290#117—1181no—
1291#117—1181no—
1292#117—1181no—
1293#117—1181no—
1294#117C22×D5911yescharacteristic
1295C2×C4⋊C4—21no—
1296C2×C4⋊C4—591no—
1297C2×C4⋊C4—1181no—
1298C2×C4⋊C4—1181no—
1299C2×C4⋊C4—1181no—
1300C2×C4⋊C4—1181no—
1301C2×C4⋊C4—1181no—
1302C2×C4⋊C4C22×D5911yescharacteristic
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C22⋊C4—1181no—
1307C2×C42—591no—
1308C2×C42—1181no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#107—591no—
1313#107—591no—
1314#107—591no—
1315#106—591no—
1316#106—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8C22×D5911yescharacteristic
1324C4⋊C8C22×D5911yescharacteristic
1325C4⋊C8C22×D5911yescharacteristic
1326C4⋊C8C22×D5911yescharacteristic
1327#103—591no—
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#103C22×D5911yescharacteristic
1340#103C22×D5911yescharacteristic
1341#102—591no—
1342#102—591no—
1343#102—591no—
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#102C22×D5911yescharacteristic
1354#102C22×D5911yescharacteristic
1355#102C22×D5911yescharacteristic
1356#102C22×D5911yescharacteristic
1357#102C22×D5911yescharacteristic
1358#102C22×D5911yescharacteristic
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363C22⋊C8—591no—
1364C22⋊C8—591no—
1365#97—591no—
1366#97—591no—
1367#97—591no—
1368#97—591no—
1369C4×C8—591no—
1370C4×C8—591no—
1371C24—21no—
1372C24—1181no—
1373C24—1181no—
1374#41—22no—
1375#41—41no—
1376#41—41no—
1377#41—41no—
1378#41—1182no—
1379#41—1182no—
1380#41—4722no—
1381#41—2361no—
1382#41—2361no—
1383#41—2361no—
1384#41—2361no—
1385C2×Q8—591no—
1386C2×Q8—591no—
1387C2×Q8—591no—
1388C2×Q8—591no—
1389C2×Q8—1181no—
1390C2×Q8—1181no—
1391C2×Q8—1181no—
1392C2×Q8—2361no—
1393C2×Q8—2361no—
1394C2×Q8C23×D5911yescharacteristic
1395C2×Q8C23×D5911yescharacteristic
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—591no—
1406C2×D4—591no—
1407C2×D4—591no—
1408C2×D4—591no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—4722no—
1421C2×D4—4722no—
1422C2×D4—2361no—
1423C2×D4—2361no—
1424C2×D4—2361no—
1425C2×D4—2361no—
1426C2×D4C23×D5911yescharacteristic
1427C2×D4C23×D5911yescharacteristic
1428C2×D4C23×D5911yescharacteristic
1429C2×D4C23×D5911yescharacteristic
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—591no—
1436C22×C4—591no—
1437C22×C4—591no—
1438C22×C4—591no—
1439C22×C4—1181no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4C23×D5911yescharacteristic
1451Q16—41no—
1452Q16—2361no—
1453Q16—2361no—
1454Q16—2361no—
1455Q16—2361no—
1456Q16—2361no—
1457SD16—22no—
1458SD16—41no—
1459SD16—41no—
1460SD16—41no—
1461SD16—1182no—
1462SD16—2361no—
1463SD16—2361no—
1464SD16—2361no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469SD16—2361no—
1470SD16—2361no—
1471D8—22no—
1472D8—22no—
1473D8—22no—
1474D8—1182no—
1475M16—41no—
1476M16—2361no—
1477M16—2361no—
1478M16—2361no—
1479C2×C8—41no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—591no—
1483C2×C8—591no—
1484C2×C8—2361no—
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C2×C8C23×D5911yescharacteristic
1488C2×C8C23×D5911yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—591no—
1493C4⋊C4—591no—
1494C4⋊C4—591no—
1495C4⋊C4—591no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—591no—
1500C4⋊C4—591no—
1501C4⋊C4—591no—
1502C4⋊C4—591no—
1503C4⋊C4—591no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1532C4⋊C4D4×D5911yescharacteristic
1533C4⋊C4C23×D5911yescharacteristic
1534C4⋊C4C23×D5911yescharacteristic
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—591no—
1542C22⋊C4—591no—
1543C22⋊C4—591no—
1544C22⋊C4—591no—
1545C22⋊C4—591no—
1546C22⋊C4—591no—
1547C22⋊C4—591no—
1548C22⋊C4—591no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
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⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4D4×D5911yescharacteristic
1577C22⋊C4D4×D5911yescharacteristic
1578C42—21no—
1579C42—21no—
1580C42—591no—
1581C42—591no—
1582C42—591no—
1583C42—591no—
1584C42—1181no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42—1181no—
1591C42C23×D5911yescharacteristic
1592C42C23×D5911yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—81no—
1598C23—81no—
1599C23—81no—
1600C23—591no—
1601C23—591no—
1602C23—1181no—
1603C23—4721no—
1604C23—4721no—
1605C23—4721no—
1606C23—4721no—
1607C23—4721no—
1608C23—2362no—
1609C23C2×D4×D5911yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—1181no—
1615Q8—1181no—
1616Q8—1181no—
1617Q8—1181no—
1618Q8—1181no—
1619Q8—1181no—
1620Q8—4721no—
1621Q8—4721no—
1622Q8—4721no—
1623Q8—2361no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—42no—
1632D4—81no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—1181no—
1639D4—1181no—
1640D4—4721no—
1641D4—4721no—
1642D4—4721no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—2361no—
1648D4—2361no—
1649D4—2361no—
1650D4—2362no—
1651D4—2362no—
1652D4—2362no—
1653D4—2362no—
1654D4#1427377212yes—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—42no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—81no—
1666C2×C4—591no—
1667C2×C4—591no—
1668C2×C4—591no—
1669C2×C4—591no—
1670C2×C4—591no—
1671C2×C4—591no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—4721no—
1688C2×C4—4721no—
1689C2×C4—4721no—
1690C2×C4—4721no—
1691C2×C4—2361no—
1692C2×C4—2361no—
1693C2×C4—2362no—
1694C2×C4—2362no—
1695C2×C4—2362no—
1696C2×C4C2×D4×D5911yescharacteristic
1697C2×C4C2×D4×D5911yescharacteristic
1698C2×C4C2×D4×D5911yescharacteristic
1699C2×C4C2×D4×D5911yescharacteristic
1700C2×C4C2×D4×D5911yescharacteristic
1701C2×C4C24×D5911yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1181no—
1707C8—1181no—
1708C8—1181no—
1709C8—1181no—
1710C22—21no—
1711C22—22no—
1712C22—21no—
1713C22—21no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—162no—
1726C22—1181no—
1727C22—1181no—
1728C22—1181no—
1729C22—1181no—
1730C22—1181no—
1731C22—1181no—
1732C22—9442no—
1733C22—9442no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22C22×D4×D5911yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—1181no—
1748C4—1181no—
1749C4—1181no—
1750C4—1181no—
1751C4—1181no—
1752C4—1181no—
1753C4—2361no—
1754C4—2361no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4C2×#1427377211yescharacteristic
1761C4#1683823811yescharacteristic
1762C2—41no—
1763C2—42no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—4721no—
1768C2—2361no—
1769C2—2361no—
1770C2#2143776111yescharacteristic
1771C2#2143887111yescharacteristic
1772C2#2143887811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3045C2
socleC22×C59C23×D4
hypercenter#3045D59
hypocenterC59#62089
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3045

Complements

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

NH ≅ G/Ntype
1. #21438614C2semidirect
2. #21438064C2semidirect
3. #21437152C2semidirect
4. #21437148C2semidirect
5. #21436853C2semidirect
6. #21436842C2semidirect
7. #21436371C2semidirect
8. #21436365C2semidirect
9. #21436178C2semidirect
10. #21436173C2semidirect
11. #21436124C2semidirect
12. #21436113C2semidirect
13. #21435691C2semidirect
14. #21435690C2semidirect
15. #21435657C2semidirect
16. #21435651C2semidirect
17. #21435621C2semidirect
18. #21435615C2semidirect
19. #21435524C2semidirect
20. #21435519C2semidirect
21. #21435481C2semidirect
22. #21435168C2semidirect
23. #21435167C2semidirect
24. #21435097C2semidirect
25. #21434358C2semidirect
26. #21434355C2semidirect
27. #21434244C2semidirect
28. #21433630C2semidirect
29. #21433585C2semidirect
30. #21433264C2semidirect
31. C59×#3045C2semidirect
32. C2×#14273756C22semidirect
34. C2×#14273751C22semidirect
35. C2×#14273746C22semidirect
40. #16838130C22semidirect
41. #16838111C22semidirect
42. #16838107C22semidirect
44. #16838093C22semidirect
46. #16838087C22semidirect
51. #16838056C22semidirect
52. #16838051C22semidirect
53. #16838051C22semidirect
62. #16838014C22semidirect
63. #16838010C22semidirect
71. #16837956C22semidirect
77. #16837881C22semidirect
78. C4×#11745687C22semidirect
79. #16837797C22semidirect
80. #16837795C22semidirect
81. #16837793C22semidirect
82. #16837793C22semidirect
87. #16837763C22semidirect
88. #16837760C22semidirect
89. #16837756C22semidirect
90. #16837755C22semidirect
91. #16837737C22semidirect
92. #16837736C22semidirect
93. #16837725C22semidirect
94. #16837725C22semidirect
97. #16837710C22semidirect
98. #16837707C22semidirect
99. #16837704C22semidirect
100. #16837703C22semidirect
101. #16837698C22semidirect
102. #16837697C22semidirect
103. #16837688C22semidirect
104. #16837682C22semidirect
105. #16837680C22semidirect
106. #16837680C22semidirect
107. #16837660C22semidirect
108. #16837657C22semidirect
111. #16837647C22semidirect
112. #16837647C22semidirect
113. #16837645C22semidirect
114. #16837645C22semidirect
115. #16837643C22semidirect
116. #16837642C22semidirect
119. #16837627C22semidirect
120. #16837625C22semidirect
121. #16837625C22semidirect
122. #16837624C22semidirect
123. #16837623C22semidirect
124. #16837623C22semidirect
125. #16837621C22semidirect
126. #16837621C22semidirect
127. #16837619C22semidirect
128. #16837617C22semidirect
129. #16837615C22semidirect
130. #16837615C22semidirect
131. #16837613C22semidirect
132. #16837610C22semidirect
133. #16837608C22semidirect
134. #16837605C22semidirect
135. #16837605C22semidirect
136. #16837605C22semidirect
138. #16837599C22semidirect
139. #16837599C22semidirect
141. #16837565C22semidirect
142. #16837564C22semidirect
143. #16837564C22semidirect
144. #16837564C22semidirect
145. #16837561C22semidirect
146. #16837561C22semidirect
147. #16837559C22semidirect
148. #16837556C22semidirect
150. #16837554C22semidirect
151. #16837553C22semidirect
152. #16837553C22semidirect
154. #16837551C22semidirect
157. #16837544C22semidirect
158. #16837544C22semidirect
159. #16837531C22semidirect
160. #16837529C22semidirect
161. #16837514C22semidirect
162. #16837514C22semidirect
163. #16837503C22semidirect
164. #16837502C22semidirect
165. #16837500C22semidirect
166. #16837499C22semidirect
167. #16837499C22semidirect
168. #16837499C22semidirect
169. C4×#11745672C22semidirect
170. #16837494C22semidirect
171. D8×Dic59C22semidirect
172. C4×#11745669C22semidirect
173. #16837479C22semidirect
174. #16837478C22semidirect
175. #16837473C22semidirect
176. #16837473C22semidirect
177. #16837472C22semidirect
178. #16837471C22semidirect
179. #16837463C22semidirect
180. #16837462C22semidirect
181. #16837458C22semidirect
182. #16837427C22semidirect
183. #16837424C22semidirect
184. #16837409C22semidirect
186. #16837400C22semidirect
187. #102×D59C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C2×#135×C59C22semidirect
191. C59×#520C22semidirect
192. C59×#464C22semidirect
193. C59×#464C22semidirect
194. C59×#463C22semidirect
195. C59×#463C22semidirect
197. C59×#460C22semidirect
199. C59×#459C22semidirect
200. C59×#424C22semidirect
201. C59×#417C22semidirect
202. C2×#102×C59C22semidirect
904. #3045D59semidirect
921. C2×AGL(1,ℤ/8)C2×D59semidirect
923. C2×#135C2×D59semidirect
967. #520C2×D59semidirect
1017. #464C2×D59semidirect
1018. #464C2×D59semidirect
1023. #463C2×D59semidirect
1024. #463C2×D59semidirect
1035. #460C2×D59semidirect
1038. #459C2×D59semidirect
1081. #424C2×D59semidirect
1086. #417C2×D59semidirect
1088. C2×#102C2×D59semidirect
1089. C59#62089semidirect

Maximal subgroups

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

subgroupindex
#214386142
#214380642
#214371522
#214371482
#214368532
#214368422
#214363712
#214363652
#214361782
#214361732
#214361242
#214361132
#214356912
#214356902
#214356572
#214356512
#214356212
#214356152
#214355242
#214355192
#214354812
#214351682
#214351672
#214350972
#214343582
#214343552
#214342442
#214336302
#214335852
#214332642
C59×#30452
#6208959