Finite Group Databasebeta

← #29470438

Subgroups — #29470438

Order 15104.

1978 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#21437703C211yesmaximal, characteristic, complemented
2#21437701C211yesmaximal, characteristic, complemented
3#21437184C211yesmaximal, characteristic, complemented
4#21437054C211yesmaximal, characteristic, complemented
5#21436855C211yesmaximal, characteristic, complemented
6#21436845C211yesmaximal, characteristic, complemented
7#21436696C211yesmaximal, characteristic, complemented
8#21436584C211yesmaximal, characteristic, complemented
9#21436574C211yesmaximal, characteristic, complemented
10#21436299C211yesmaximal, characteristic, complemented
11#21436238C211yesmaximal, characteristic, complemented
12#21436232C211yesmaximal, characteristic, complemented
13#21436178C211yesmaximal, characteristic, complemented
14#21436172C211yesmaximal, characteristic, complemented
15#21435703C211yesmaximal, characteristic, complemented
16#21435579C211yesmaximal, characteristic, complemented
17#21435574C211yesmaximal, characteristic, complemented
18#21434686C211yesmaximal, characteristic, complemented
19#21434684C211yesmaximal, characteristic, complemented
20#21434665C211yesmaximal, characteristic, complemented
21#21434148C211yesmaximal, characteristic, complemented
22#21434142C211yesmaximal, characteristic, complemented
23#21434117C211yesmaximal, characteristic, complemented
24#21434107C211yesmaximal, characteristic, complemented
25#21434093C211yesmaximal, characteristic, complemented
26#21434091C211yesmaximal, characteristic, complemented
27#21433059C211yesmaximal, characteristic, complemented
28#21432909C211yesmaximal, characteristic, complemented
29#21432900C211yesmaximal, characteristic, complemented
30C4×D8×D59C211yesmaximal, characteristic, complemented
31C59×#3322C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic
33C2×#14273752C2211yescharacteristic
34C2×D8×D59C2211yescharacteristic
35#16838135C2211yescharacteristic, complemented
36#16838134C2211yescharacteristic, complemented
37#16838111C2211yescharacteristic, complemented
38#16838110C2211yescharacteristic, complemented
39#16838108C2211yescharacteristic, complemented
40#16838107C2211yescharacteristic, complemented
41#16838099C2211yescharacteristic
42#16838098C2211yescharacteristic, complemented
43#16838097—21no—
44#16838096C2211yescharacteristic
45#16838095—21no—
46#16838081—21no—
47#16838078—21no—
48#16838077—21no—
49#16838075—21no—
50#16838049C2211yescharacteristic
51#16838048C2211yescharacteristic, complemented
52#16838041—21no—
53#16838040C2211yescharacteristic
54#16838039—21no—
55#16838036C2211yescharacteristic, complemented
56D4×C22⋊D59C2211yescharacteristic, complemented
57#16837947C2211yescharacteristic, complemented
58#16837947C2211yescharacteristic, complemented
59#16837938C2211yescharacteristic, complemented
60#16837937C2211yescharacteristic, complemented
61#16837935—21no—
62#16837933C2211yescharacteristic, complemented
63#16837931C2211yescharacteristic, complemented
64#16837929—21no—
65#16837912—21no—
66#16837912—21no—
67#16837910—21no—
68#16837908—21no—
69#41×Dic59C2211yescharacteristic, complemented
70#16837870C2211yescharacteristic, complemented
71C4×#11745687C2211yescharacteristic
72C2×D4×Dic59C2211yescharacteristic, complemented
73C2×#14273689C2211yescharacteristic, complemented
74C2×(C22⋊D59)⋊C4—21no—
75C4×D4×D59—21no—
76C4×D4×D59C2211yescharacteristic, complemented
77C4×D4×D59C2211yescharacteristic, complemented
78#16837810C2211yescharacteristic, complemented
79#16837809C2211yescharacteristic, complemented
80#16837801C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837784C2211yescharacteristic, complemented
84#16837765C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837757C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837726C2211yescharacteristic, complemented
93#16837723C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837719C2211yescharacteristic, complemented
96#16837716C2211yescharacteristic, complemented
97#16837715C2211yescharacteristic, complemented
98#16837713C2211yescharacteristic, complemented
99#16837711C2211yescharacteristic, complemented
100#16837708C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837703C2211yescharacteristic, complemented
103#16837702C2211yescharacteristic, complemented
104#16837701C2211yescharacteristic, complemented
105#16837699C2211yescharacteristic, complemented
106#16837681C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic, complemented
108#16837680C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837655C2211yescharacteristic, complemented
111#16837653C2211yescharacteristic, complemented
112#16837653C2211yescharacteristic, complemented
113#16837650C2211yescharacteristic, complemented
114#16837648C2211yescharacteristic, complemented
115#16837646C2211yescharacteristic, complemented
116#16837642C2211yescharacteristic, complemented
117#16837637C2211yescharacteristic
118#16837634C2211yescharacteristic, complemented
119#16837630C2211yescharacteristic, complemented
120#16837627C2211yescharacteristic, complemented
121#16837622C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic, complemented
124#16837617C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837614C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic
128#16837596C2211yescharacteristic, complemented
129#16837595C2211yescharacteristic
130#16837595C2211yescharacteristic, complemented
131#16837564C2211yescharacteristic, complemented
132#16837562C2211yescharacteristic, complemented
133#16837554C2211yescharacteristic, complemented
134#16837551C2211yescharacteristic, complemented
135#16837549C2211yescharacteristic
136#16837538C2211yescharacteristic, complemented
137#16837537C2211yescharacteristic
138#16837536C2211yescharacteristic, complemented
139#16837535C2211yescharacteristic, complemented
140#16837534C2211yescharacteristic
141#16837532C2211yescharacteristic, complemented
142#16837529C2211yescharacteristic, complemented
143#16837511C2211yescharacteristic
144#16837511C2211yescharacteristic
145#16837511C2211yescharacteristic, complemented
146#16837511C2211yescharacteristic, complemented
147#16837505C2211yescharacteristic, complemented
148#16837505C2211yescharacteristic, complemented
149#16837499C2211yescharacteristic, complemented
150#16837499C2211yescharacteristic, complemented
151#16837494C2211yescharacteristic, complemented
152#16837493C2211yescharacteristic, complemented
153#16837493C2211yescharacteristic, complemented
154SD16×Dic59C2211yescharacteristic, complemented
155#16837489C2211yescharacteristic, complemented
156#16837487C2211yescharacteristic, complemented
157#16837487C2211yescharacteristic, complemented
158C4×D472C2211yescharacteristic, complemented
159D8×Dic59C2211yescharacteristic, complemented
160D8×Dic59C2211yescharacteristic, complemented
161#16837484C2211yescharacteristic, complemented
162#16837484C2211yescharacteristic, complemented
163C4×#11745669C2211yescharacteristic
164C4×#11745669C2211yescharacteristic, complemented
165#16837482C2211yescharacteristic
166#16837482C2211yescharacteristic, complemented
167#16837482C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837482C2211yescharacteristic, complemented
170#16837480C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic, complemented
172#16837476C2211yescharacteristic, complemented
173#16837471C2211yescharacteristic, complemented
174#16837471C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837452C2211yescharacteristic, complemented
177#16837452C2211yescharacteristic, complemented
178#16837445C2211yescharacteristic, complemented
179#16837442C2211yescharacteristic, complemented
180#107×D59C2211yescharacteristic, complemented
181#16837408C2211yescharacteristic, complemented
182#16837404C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185M16×Dic59C2211yescharacteristic, complemented
186M16×Dic59C2211yescharacteristic, complemented
187C4×C8×D59C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic, complemented
190C59×#488C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic
198C59×#447C2211yescharacteristic, complemented
199C4×D8×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#417C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745687—21no—
205C2×#11745687—21no—
206C2×#11745687D411yescharacteristic
207C22×D236C2311yescharacteristic
208C22×C22⋊D59—21no—
209C2×D4×D59—21no—
210C2×D4×D59C2311yescharacteristic
211C2×D4×D59C2311yescharacteristic
212C23×Dic59—21no—
213C22×C4×D59—21no—
214C22×C4×D59—21no—
215C22×C4×D59—21no—
216#14273753—24no—
217#14273752—24no—
218C2×#11745672C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×D472C2311yescharacteristic
225C2×D472C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231D8×D59—24no—
232C2×#11745664C2311yescharacteristic
233C2×#11745664C2311yescharacteristic
234C2×C8×D59C2311yescharacteristic
235C2×C8×D59C2311yescharacteristic
236#14273726C2311yescharacteristic
237#14273726C2311yescharacteristic
238#14273723C2311yescharacteristic
239#14273723C2311yescharacteristic
240#14273722—21no—
241#14273722—21no—
242#14273722—21no—
243#14273721—21no—
244#14273720—21no—
245#14273720—21no—
246#14273720—21no—
247#14273719C2311yescharacteristic
248#14273718C2311yescharacteristic
249#14273718C2311yescharacteristic
250#14273717—21no—
251#14273717—21no—
252#14273716C2311yescharacteristic
253#14273715C2311yescharacteristic
254#14273714C2311yescharacteristic
255#14273713—21no—
256#14273713—21no—
257#14273713—21no—
258#14273713—21no—
259#14273712—21no—
260#14273712—21no—
261#14273711—21no—
262#14273711—21no—
263#14273710—21no—
264#14273710—21no—
265#14273709—21no—
266#14273709—21no—
267#14273709—21no—
268#14273709—21no—
269#14273709—21no—
270#14273709—21no—
271#14273708—21no—
272#14273708—21no—
273#14273707—21no—
274#14273707—21no—
275#14273707C2311yescharacteristic
276#14273706—21no—
277#14273706—21no—
278#14273706C2311yescharacteristic
279#14273705—21no—
280#14273705—21no—
281#14273705—21no—
282#14273704—21no—
283#14273704—21no—
284#14273704—21no—
285#14273703C2311yescharacteristic
286#14273702C2311yescharacteristic
287#14273701C2311yescharacteristic
288#14273701C2311yescharacteristic
289#14273701C2311yescharacteristic
290#14273700—21no—
291#14273700—21no—
292#14273700—21no—
293#14273699—21no—
294#14273699—21no—
295#14273699—21no—
296#14273699—21no—
297#14273699—21no—
298#14273698—21no—
299#14273698—21no—
300#14273698C2311yescharacteristic
301#14273697—21no—
302#14273696—21no—
303#14273695—21no—
304#14273695—21no—
305#14273695—21no—
306#14273695—21no—
307#14273695—21no—
308Q8×Dic59C2311yescharacteristic
309Q8×Dic59C2311yescharacteristic
310C4×Dic118C2311yescharacteristic
311#14273692D411yescharacteristic
312#14273692C2311yescharacteristic
313#14273692C2311yescharacteristic
314C4×D236—21no—
315C4×D236C2311yescharacteristic
316C4×D236C2311yescharacteristic
317D4×Dic59—21no—
318D4×Dic59—21no—
319D4×Dic59—21no—
320D4×Dic59—21no—
321D4×Dic59—21no—
322D4×Dic59D411yescharacteristic
323D4×Dic59C2311yescharacteristic
324D4×Dic59C2311yescharacteristic
325D4×Dic59C2311yescharacteristic
326D4×Dic59C2311yescharacteristic
327D4×Dic59C2311yescharacteristic
328D4×Dic59C2311yescharacteristic
329#14273689—21no—
330#14273689—21no—
331#14273689—21no—
332#14273689C2311yescharacteristic
333#14273689C2311yescharacteristic
334#14273689C2311yescharacteristic
335#14273689C2311yescharacteristic
336#14273689C2311yescharacteristic
337#14273689C2311yescharacteristic
338C4×C22⋊D59—21no—
339C4×C22⋊D59—21no—
340C4×C22⋊D59—21no—
341C4×C22⋊D59—21no—
342C4×C22⋊D59C2311yescharacteristic
343C4×C22⋊D59C2311yescharacteristic
344(C22⋊D59)⋊C4—21no—
345(C22⋊D59)⋊C4—21no—
346(C22⋊D59)⋊C4—21no—
347(C22⋊D59)⋊C4—21no—
348(C22⋊D59)⋊C4—21no—
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4D411yescharacteristic
357(C22⋊D59)⋊C4D411yescharacteristic
358#14273686—21no—
359#14273686C2311yescharacteristic
360#14273685—21no—
361#14273685—21no—
362#14273685D411yescharacteristic
363#14273684—21no—
364#14273683—21no—
365#14273683—21no—
366#14273683D411yescharacteristic
367#14273683D411yescharacteristic
368C2×C4⋊Dic59C2311yescharacteristic
369C2×Dic59⋊C4—21no—
370C4⋊C4×D59—21no—
371C4⋊C4×D59C2311yescharacteristic
372C4⋊C4×D59C2311yescharacteristic
373C2×C22⋊Dic59—21no—
374C2×(C2×D59)⋊C4—21no—
375C2×(C2×D59)⋊C4—21no—
376C22⋊C4×D59—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C2×C4×Dic59—21no—
381C2×C4×Dic59C2311yescharacteristic
382C2×C4×Dic59C2311yescharacteristic
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385#14273661C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429#14273637C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433C4×C59⋊C8C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×#41×C59C2311yescharacteristic
439C22×D4×C59C2311yescharacteristic
440C2×SD16×C59C2311yescharacteristic
441C2×D8×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443C2×M16×C59C2311yescharacteristic
444C2×M16×C59C2311yescharacteristic
445#126×C59—21no—
446#125×C59C2311yescharacteristic
447#124×C59C2311yescharacteristic
448#123×C59—21no—
449#123×C59—21no—
450C22⋊Q8×C59C2311yescharacteristic
451#121×C59—21no—
452#121×C59—21no—
453#121×C59C2311yescharacteristic
454#121×C59C2311yescharacteristic
455#121×C59C2311yescharacteristic
456#120×C59—21no—
457C4×D4×C59—21no—
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461#117×C59C2311yescharacteristic
462C2×C4⋊C4×C59C2311yescharacteristic
463C2×C22⋊C4×C59—21no—
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468#103×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480C4×C8×C59C2311yescharacteristic
481C24×C59—21no—
482C23×D59—21no—
483C23×D59—21no—
484C23×D59—21no—
485#41×C59—22no—
486#41×C59—41no—
487C2×Q8×C59C2411yescharacteristic
488C2×D4×C59—22no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—41no—
495C2×D4×C59C2×D411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C2×D4×C59C2411yescharacteristic
498C2×D4×C59C2411yescharacteristic
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C22×C4×C59C2411yescharacteristic
504C22×C4×C59C2411yescharacteristic
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—44no—
517C2×C22⋊D59C2×D411yescharacteristic
518C2×C22⋊D59C2×D411yescharacteristic
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—82no—
527C22×Dic59C2×D411yescharacteristic
528C22×Dic59C2×D411yescharacteristic
529C22×Dic59C2×D411yescharacteristic
530C22×Dic59C2×D411yescharacteristic
531#11745687—42no—
532#11745687—82no—
533#11745687—82no—
534D4×D59—22no—
535D4×D59—22no—
536D4×D59—41no—
537D4×D59—41no—
538D4×D59—44no—
539#11745685—22no—
540#11745685—41no—
541C2×D236—22no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—41no—
545C2×D236C2411yescharacteristic
546C2×D236C2411yescharacteristic
547C2×D236C2411yescharacteristic
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—82no—
560C2×C4×D59—82no—
561C2×C4×D59—82no—
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2×D411yescharacteristic
564C2×C4×D59C2411yescharacteristic
565C2×Dic118—21no—
566C2×Dic118—21no—
567C2×Dic118C2×D411yescharacteristic
568C2×Dic118C2411yescharacteristic
569SD16×C59—41no—
570D8×C59—22no—
571D8×C59—41no—
572M16×C59—41no—
573M16×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×C59—21no—
582C4⋊C4×C59C2×D411yescharacteristic
583C4⋊C4×C59C2411yescharacteristic
584C4⋊C4×C59C2411yescharacteristic
585C4⋊C4×C59C2411yescharacteristic
586C4⋊C4×C59C2411yescharacteristic
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59C2×D411yescharacteristic
597C22⋊C4×C59C2×D411yescharacteristic
598C42×C59—21no—
599C42×C59C2411yescharacteristic
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⋊Dic59C2×D411yescharacteristic
612C22⋊Dic59C2×D411yescharacteristic
613#11745672—41no—
614#11745671—22no—
615#11745671—22no—
616#11745670—22no—
617#11745670—22no—
618#11745669—22no—
619#11745669—22no—
620#11745669—22no—
621#11745669—41no—
622#11745669#4114yescomplemented
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
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)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4C2×D411yescharacteristic
642(C2×D59)⋊C4C2×D411yescharacteristic
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59C2×D411yescharacteristic
650C4⋊Dic59C2411yescharacteristic
651C4⋊Dic59C2411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
667Dic59⋊C4C2×D411yescharacteristic
668Dic59⋊C4C2×D411yescharacteristic
669Dic59⋊C4C2×D411yescharacteristic
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2×D411yescharacteristic
679C4×Dic59C2×D411yescharacteristic
680C4×Dic59C2×D411yescharacteristic
681C4×Dic59C2411yescharacteristic
682C4×Dic59C2411yescharacteristic
683C4×Dic59C2411yescharacteristic
684#11745664—22no—
685#11745664—22no—
686C2×C59⋊C8C2411yescharacteristic
687C2×C59⋊C8C2411yescharacteristic
688C2×C59⋊C8C2411yescharacteristic
689C2×C59⋊C8C2411yescharacteristic
690D472—22no—
691D472—41no—
692#11745660—41no—
693C8×D59—22no—
694C8×D59—41no—
695C23×C59—21no—
696C23×C59—21no—
697C23×C59—21no—
698C23×C59—42no—
699C23×C59—42no—
700C23×C59—81no—
701C23×C59C22×D411yescharacteristic
702C23×C59C22×D411yescharacteristic
703C22×D59—21no—
704C22×D59—21no—
705C22×D59—21no—
706C22×D59—42no—
707C22×D59—42no—
708C22×D59—42no—
709C22×D59—42no—
710C22×D59—42no—
711C22×D59—42no—
712C22×D59—81no—
713C22×D59—81no—
714C22×D59—81no—
715C22×D59C22×D411yescharacteristic
716Q8×C59—21no—
717Q8×C59—21no—
718D4×C59—21no—
719D4×C59—21no—
720D4×C59—21no—
721D4×C59—21no—
722D4×C59—21no—
723D4×C59—41no—
724D4×C59—42no—
725D4×C59—42no—
726D4×C59—42no—
727D4×C59—81no—
728D4×C59—81no—
729D4×C59C2×#4112yes—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—42no—
740C2×C4×C59—81no—
741C2×C4×C59—81no—
742C2×C4×C59—81no—
743C2×C4×C59C22×D411yescharacteristic
744C2×C4×C59C22×D411yescharacteristic
745C2×C4×C59C22×D411yescharacteristic
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C2511yescharacteristic
748C22⋊D59—22no—
749C22⋊D59—22no—
750C22⋊D59—42no—
751C22⋊D59—42no—
752C22⋊D59—42no—
753C22⋊D59—42no—
754C22⋊D59—42no—
755C22⋊D59—42no—
756C22⋊D59—42no—
757C22⋊D59—81no—
758C22⋊D59—81no—
759C22⋊D59—81no—
760C22⋊D59—81no—
761C2×Dic59—22no—
762C2×Dic59—22no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—41no—
769C2×Dic59—41no—
770C2×Dic59—42no—
771C2×Dic59—42no—
772C2×Dic59—42no—
773C2×Dic59—42no—
774C2×Dic59—81no—
775C2×Dic59—81no—
776C2×Dic59—81no—
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784D236—21no—
785D236—21no—
786D236—21no—
787D236—21no—
788D236—21no—
789D236—42no—
790D236—42no—
791D236C2×#4112yes—
792C4×D59—22no—
793C4×D59—21no—
794C4×D59—21no—
795C4×D59—22no—
796C4×D59—42no—
797C4×D59—42no—
798C4×D59—42no—
799C4×D59—42no—
800C4×D59—42no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59—81no—
806C4×D59—81no—
807Dic118—21no—
808Dic118—21no—
809Dic118—41no—
810Dic118—81no—
811Dic118—81no—
812C8×C59—21no—
813C8×C59—21no—
814C8×C59—21no—
815C8×C59—21no—
816C59⋊C8—21no—
817C59⋊C8—21no—
818C59⋊C8—21no—
819C59⋊C8C2×#4112yes—
820#61444—591nomaximal, Sylow
821C22×C59—21no—
822C22×C59—22no—
823C22×C59—21no—
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
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—84no—
837C22×C59C23×D411yescharacteristic
838C2×D59—21no—
839C2×D59—21no—
840C2×D59—22no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—84no—
850C2×D59—84no—
851C2×D59—84no—
852C2×D59#57512yes—
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×C59—41no—
862C4×C59C22×#4111yescharacteristic
863C4×C59#58511yescharacteristic
864Dic59—21no—
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59#57612yes—
876#3481—591no—
877#3481—591no—
878#3403—591no—
879#3389—591no—
880#3370—591no—
881#3370—591no—
882#3355—591no—
883#3346—591no—
884#3346—591no—
885#3322—591no—
886#3322D5911yescharacteristic, complemented
887#3318—591no—
888#3318—591no—
889#3314—591no—
890#3314—591no—
891#3273—591no—
892#3264—591no—
893#3264—591no—
894#3171—591no—
895#3171—591no—
896#3168—591no—
897#3105—591no—
898#3105—591no—
899#3102—591no—
900#3102—591no—
901#3100—591no—
902#3100—591no—
903#2965—591no—
904C4×AGL(1,ℤ/8)—591no—
905C4×AGL(1,ℤ/8)—591no—
906C2×C4×D8—591no—
907C2×C59—41no—
908C2×C59—42no—
909C2×C59—41no—
910C2×C59—81no—
911C2×C59—81no—
912C2×C59D4×#4111yescharacteristic
913C2×C59C2×#57511yescharacteristic
914C2×C59C2×#57611yescharacteristic
915D59—22no—
916D59—42no—
917D59—81no—
918D59—81no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)—591no—
921C22×D8—591no—
922#559—591no—
923#559—591no—
924#554—591no—
925#554—591no—
926#554—591no—
927#554—591no—
928#553—591no—
929#553—591no—
930#553—591no—
931#553—1181no—
932#553—1181no—
933#553C2×D5911yescharacteristic, complemented
934#551—1181no—
935#551—1181no—
936#551—1181no—
937#551—1181no—
938#546—591no—
939#546—591no—
940#546—591no—
941#546—1181no—
942#546—1181no—
943#546C2×D5911yescharacteristic, complemented
944D42—591no—
945D42—591no—
946#532—591no—
947#532—591no—
948#529—591no—
949#529—591no—
950#529—591no—
951#529—591no—
952#529—1181no—
953#529—1181no—
954#525—1181no—
955#525—1181no—
956#525—1181no—
957#525—1181no—
958C4×#41—591no—
959C4×#41—591no—
960C4×#41—591no—
961C2×C4×D4—591no—
962C2×C4×D4—591no—
963C2×C4×D4—591no—
964C2×C4×D4—591no—
965C2×C4×D4—1181no—
966C2×C4×D4—1181no—
967#501—591no—
968#501—591no—
969#499—591no—
970#496—591no—
971#496—591no—
972#495—591no—
973#490—591no—
974#490—591no—
975#489—591no—
976#489—591no—
977#488—591no—
978#488C2×D5911yescharacteristic, complemented
979#485—591no—
980#485C2×D5911yescharacteristic, complemented
981#484—591no—
982#484—591no—
983#482—591no—
984#482—591no—
985#481—591no—
986#481—591no—
987#480—591no—
988#480—591no—
989#480—591no—
990#480C2×D5911yescharacteristic, complemented
991#479—591no—
992#479—591no—
993#478—591no—
994#478—591no—
995#478—591no—
996#478—591no—
997#478—591no—
998#478C2×D5911yescharacteristic, complemented
999#474—591no—
1000#474—591no—
1001#474—591no—
1002#474—591no—
1003#469—591no—
1004#469—591no—
1005#469—591no—
1006#469C2×D5911yescharacteristic, complemented
1007#468—591no—
1008#468—591no—
1009#468—591no—
1010#468C2×D5911yescharacteristic, complemented
1011#467—591no—
1012#466—591no—
1013#465—591no—
1014#465—591no—
1015#464—591no—
1016#464—591no—
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463C2×D5911yescharacteristic, complemented
1023#459—591no—
1024#459—591no—
1025#459—591no—
1026#459—591no—
1027#452—591no—
1028#452—591no—
1029#450—591no—
1030#450—591no—
1031#449—591no—
1032#449C2×D5911yescharacteristic
1033#447—591no—
1034#447—591no—
1035#447—591no—
1036#447—591no—
1037#447—591no—
1038#447C2×D5911yescharacteristic, complemented
1039#446—591no—
1040#446—591no—
1041#442—591no—
1042#442—591no—
1043#442—591no—
1044#442—591no—
1045#440—591no—
1046#440—591no—
1047#440—591no—
1048#440—591no—
1049C4×Q16—591no—
1050C4×SD16—591no—
1051C4×SD16—591no—
1052C4×SD16—591no—
1053C4×SD16—591no—
1054C4×SD16—591no—
1055C4×SD16—591no—
1056C4×D8—591no—
1057C4×D8—591no—
1058C4×D8—591no—
1059C4×D8—591no—
1060C4×D8—591no—
1061C4×D8—591no—
1062C4×D8—591no—
1063C4×D8—591no—
1064C4×D8—591no—
1065C4×D8—591no—
1066C4×D8—591no—
1067C4×D8—591no—
1068C4×D8C2×D5911yescharacteristic, complemented
1069#436—591no—
1070#436C2×D5911yescharacteristic, complemented
1071#435—591no—
1072#435—591no—
1073#435—591no—
1074#435—591no—
1075#431—591no—
1076#431—591no—
1077#431—591no—
1078#428—591no—
1079#428—591no—
1080C2×#107—591no—
1081#418—591no—
1082#418C2×D5911yescharacteristic, complemented
1083#417—591no—
1084#417C2×D5911yescharacteristic, complemented
1085C2×#102—591no—
1086C2×#102—591no—
1087C4×M16—591no—
1088C4×M16—591no—
1089C2×C4×C8—591no—
1090C59#6144411yescharacteristic, complemented, Sylow
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—1181no—
1094C2×#41—1181no—
1095C2×#41C22×D5911yescharacteristic
1096C22×D4—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—1181no—
1100C22×D4—1181no—
1101C22×D4C22×D5911yescharacteristic
1102C23×C4—1181no—
1103C23×C4—1181no—
1104C23×C4—1181no—
1105C23×C4—1181no—
1106AGL(1,ℤ/8)—1184no—
1107AGL(1,ℤ/8)—1184no—
1108C2×Q16—591no—
1109C2×SD16—591no—
1110C2×SD16—591no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16C22×D5911yescharacteristic
1115C2×D8—591no—
1116C2×D8—591no—
1117C2×D8—591no—
1118C2×D8—591no—
1119C2×D8—591no—
1120C2×D8—591no—
1121C2×D8—591no—
1122C2×D8—1184no—
1123C2×D8C22×D5911yescharacteristic
1124C2×D8C22×D5911yescharacteristic
1125C2×M16—591no—
1126C2×M16—591no—
1127C2×M16C22×D5911yescharacteristic
1128C2×M16C22×D5911yescharacteristic
1129C22×C8—591no—
1130C22×C8—591no—
1131C4⋊Q8—591no—
1132C4⋊Q8—591no—
1133#127—591no—
1134#127—591no—
1135#126—21no—
1136#126—1181no—
1137#126—1181no—
1138#126—1181no—
1139#126—1181no—
1140#126—1181no—
1141#126—1181no—
1142#126—1181no—
1143#125—591no—
1144#125—591no—
1145#125—591no—
1146#125—1181no—
1147#125—1181no—
1148#125C22×D5911yescharacteristic
1149#124—591no—
1150#124—591no—
1151#124—591no—
1152#124—1181no—
1153#124—1181no—
1154#124—1181no—
1155#124—1181no—
1156#124C22×D5911yescharacteristic
1157#123—21no—
1158#123—21no—
1159#123—1181no—
1160#123—1181no—
1161#123—1181no—
1162#123—1181no—
1163#123—1181no—
1164#123—1181no—
1165#123—1181no—
1166#123—1181no—
1167#123—1181no—
1168#123—1181no—
1169#123—1181no—
1170#123—1181no—
1171#123—1181no—
1172#123—1181no—
1173C22⋊Q8—591no—
1174C22⋊Q8—591no—
1175C22⋊Q8—591no—
1176C22⋊Q8—1181no—
1177C22⋊Q8—1181no—
1178C22⋊Q8—1181no—
1179C22⋊Q8—1181no—
1180C22⋊Q8—1181no—
1181C22⋊Q8—1181no—
1182C22⋊Q8—1181no—
1183C22⋊Q8—1181no—
1184C22⋊Q8—1181no—
1185C22⋊Q8—1181no—
1186C22⋊Q8C22×D5911yescharacteristic
1187#121—21no—
1188#121—21no—
1189#121—591no—
1190#121—591no—
1191#121—591no—
1192#121—591no—
1193#121—591no—
1194#121—1181no—
1195#121—1181no—
1196#121—1181no—
1197#121—1181no—
1198#121—1181no—
1199#121—1181no—
1200#121—1181no—
1201#121—1181no—
1202#121—1181no—
1203#121—1181no—
1204#121C22×D5911yescharacteristic
1205#121C22×D5911yescharacteristic
1206#121C22×D5911yescharacteristic
1207#120—21no—
1208#120—1181no—
1209#120—1181no—
1210#120—1181no—
1211#120—1181no—
1212#120—1181no—
1213#120—1181no—
1214#120—1181no—
1215C4×Q8—591no—
1216C4×Q8—591no—
1217C4×Q8—591no—
1218C4×Q8—591no—
1219C4×Q8—591no—
1220C4×Q8—591no—
1221C4×D4—21no—
1222C4×D4—591no—
1223C4×D4—591no—
1224C4×D4—591no—
1225C4×D4—591no—
1226C4×D4—591no—
1227C4×D4—591no—
1228C4×D4—591no—
1229C4×D4—591no—
1230C4×D4—591no—
1231C4×D4—591no—
1232C4×D4—591no—
1233C4×D4—591no—
1234C4×D4—591no—
1235C4×D4—591no—
1236C4×D4—591no—
1237C4×D4—591no—
1238C4×D4—591no—
1239C4×D4—591no—
1240C4×D4—591no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4—1181no—
1244C4×D4—1181no—
1245C4×D4—1181no—
1246C4×D4—1181no—
1247C4×D4—1181no—
1248C4×D4—1181no—
1249C4×D4—1181no—
1250C4×D4—1181no—
1251C4×D4—1181no—
1252C4×D4—1181no—
1253C4×D4—1181no—
1254C4×D4—1181no—
1255C4×D4—1181no—
1256C4×D4—1181no—
1257C4×D4—1181no—
1258C4×D4—1181no—
1259C4×D4—1181no—
1260C4×D4—1181no—
1261C4×D4—1181no—
1262C4×D4—1181no—
1263C4×D4—1181no—
1264C4×D4—1181no—
1265C4×D4—1181no—
1266C4×D4C22×D5911yescharacteristic
1267C4×D4C22×D5911yescharacteristic
1268C4×D4C22×D5911yescharacteristic
1269#117—591no—
1270#117—591no—
1271#117—591no—
1272#117—591no—
1273#117—1181no—
1274#117—1181no—
1275#117—1181no—
1276#117—1181no—
1277#117—1181no—
1278#117—1181no—
1279#117C22×D5911yescharacteristic
1280C2×C4⋊C4—591no—
1281C2×C4⋊C4—591no—
1282C2×C4⋊C4—591no—
1283C2×C4⋊C4—1181no—
1284C2×C4⋊C4—1181no—
1285C2×C4⋊C4C22×D5911yescharacteristic
1286C2×C22⋊C4—21no—
1287C2×C22⋊C4—1181no—
1288C2×C22⋊C4—1181no—
1289C2×C22⋊C4—1181no—
1290C2×C22⋊C4—1181no—
1291C2×C22⋊C4—1181no—
1292C2×C22⋊C4—1181no—
1293C2×C22⋊C4—1181no—
1294C2×C42—591no—
1295C2×C42—591no—
1296C2×C42—591no—
1297C2×C42—1181no—
1298C2×C42—1181no—
1299#107—591no—
1300#107—591no—
1301#107—591no—
1302#107—591no—
1303#107—591no—
1304#107—591no—
1305#107—591no—
1306#107—591no—
1307#107C22×D5911yescharacteristic
1308#107C22×D5911yescharacteristic
1309#106—591no—
1310#106—591no—
1311#106—591no—
1312#106—591no—
1313#106—591no—
1314#106C22×D5911yescharacteristic
1315C4⋊C8—591no—
1316C4⋊C8—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8C22×D5911yescharacteristic
1321#103—591no—
1322#103—591no—
1323#103—591no—
1324#103—591no—
1325#103—591no—
1326#103C22×D5911yescharacteristic
1327#103C22×D5911yescharacteristic
1328#103C22×D5911yescharacteristic
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102—591no—
1333#102—591no—
1334#102—591no—
1335#102—591no—
1336#102—591no—
1337#102—591no—
1338#102—591no—
1339#102—591no—
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102C22×D5911yescharacteristic
1347#102C22×D5911yescharacteristic
1348#102C22×D5911yescharacteristic
1349#102C22×D5911yescharacteristic
1350#102C22×D5911yescharacteristic
1351#102C22×D5911yescharacteristic
1352#102C22×D5911yescharacteristic
1353C22⋊C8—591no—
1354C22⋊C8—591no—
1355C22⋊C8—591no—
1356C22⋊C8—591no—
1357C22⋊C8C22×D5911yescharacteristic
1358C22⋊C8C22×D5911yescharacteristic
1359#97—591no—
1360#97—591no—
1361#97—591no—
1362#97—591no—
1363C4×C8—591no—
1364C4×C8—591no—
1365C4×C8—591no—
1366C4×C8—591no—
1367C4×C8—591no—
1368C4×C8C22×D5911yescharacteristic
1369C24—21no—
1370C24—1181no—
1371C24—1181no—
1372C24—1181no—
1373#41—22no—
1374#41—41no—
1375#41—1182no—
1376#41—4722no—
1377#41—4722no—
1378#41—2361no—
1379#41—2362no—
1380C2×Q8—591no—
1381C2×Q8—591no—
1382C2×Q8—1181no—
1383C2×Q8—1181no—
1384C2×Q8C23×D5911yescharacteristic
1385C2×D4—22no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—41no—
1392C2×D4—591no—
1393C2×D4—591no—
1394C2×D4—591no—
1395C2×D4—591no—
1396C2×D4—591no—
1397C2×D4—1182no—
1398C2×D4—1181no—
1399C2×D4—1181no—
1400C2×D4—1181no—
1401C2×D4—1181no—
1402C2×D4—1181no—
1403C2×D4—1181no—
1404C2×D4—1181no—
1405C2×D4—1182no—
1406C2×D4—1182no—
1407C2×D4—1181no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—2361no—
1414C2×D4—2361no—
1415C2×D4—2361no—
1416C2×D4—2364no—
1417C2×D4—2364no—
1418C2×D4D4×D5911yescharacteristic
1419C2×D4C23×D5911yescharacteristic
1420C2×D4C23×D5911yescharacteristic
1421C2×D4C23×D5911yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—591no—
1427C22×C4—591no—
1428C22×C4—591no—
1429C22×C4—591no—
1430C22×C4—591no—
1431C22×C4—591no—
1432C22×C4—591no—
1433C22×C4—1181no—
1434C22×C4—1181no—
1435C22×C4—1181no—
1436C22×C4—1181no—
1437C22×C4—1181no—
1438C22×C4—1181no—
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×C4—1181no—
1451C22×C4—4722no—
1452C22×C4—4722no—
1453C22×C4—4722no—
1454C22×C4—4722no—
1455C22×C4C23×D5911yescharacteristic
1456C22×C4C23×D5911yescharacteristic
1457Q16—2361no—
1458SD16—41no—
1459SD16—1182no—
1460SD16—1182no—
1461SD16—1182no—
1462SD16—1182no—
1463SD16—2361no—
1464D8—22no—
1465D8—41no—
1466D8—594no—
1467D8—1182no—
1468D8—1182no—
1469D8—1182no—
1470D8—1182no—
1471D8—2361no—
1472D8—2361no—
1473M16—41no—
1474M16—41no—
1475M16—1182no—
1476M16—1182no—
1477C2×C8—591no—
1478C2×C8—591no—
1479C2×C8—591no—
1480C2×C8—591no—
1481C2×C8—1182no—
1482C2×C8—2361no—
1483C2×C8C23×D5911yescharacteristic
1484C2×C8C23×D5911yescharacteristic
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—591no—
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—1181no—
1501C4⋊C4—1181no—
1502C4⋊C4—1181no—
1503C4⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1519C4⋊C4C23×D5911yescharacteristic
1520C4⋊C4C23×D5911yescharacteristic
1521C4⋊C4C23×D5911yescharacteristic
1522C4⋊C4C23×D5911yescharacteristic
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—591no—
1533C22⋊C4—591no—
1534C22⋊C4—591no—
1535C22⋊C4—591no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
1543C22⋊C4—1181no—
1544C22⋊C4—1181no—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1566C22⋊C4D4×D5911yescharacteristic
1567C42—21no—
1568C42—591no—
1569C42—591no—
1570C42—591no—
1571C42—591no—
1572C42—591no—
1573C42—591no—
1574C42—591no—
1575C42—591no—
1576C42—591no—
1577C42—1181no—
1578C42—1181no—
1579C42—1181no—
1580C42—1181no—
1581C42—1181no—
1582C42C23×D5911yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—42no—
1587C23—42no—
1588C23—81no—
1589C23—591no—
1590C23—1181no—
1591C23—1181no—
1592C23—1181no—
1593C23—4721no—
1594C23—4721no—
1595C23—4721no—
1596C23—2362no—
1597C23—2362no—
1598C23—2362no—
1599C23—2362no—
1600C23—2362no—
1601C23—2362no—
1602C23C2×D4×D5911yescharacteristic
1603C23C2×D4×D5911yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—1181no—
1607Q8—1181no—
1608Q8—4721no—
1609Q8—4721no—
1610Q8—2361no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—41no—
1617D4—42no—
1618D4—42no—
1619D4—42no—
1620D4—81no—
1621D4—81no—
1622D4—592no—
1623D4—1182no—
1624D4—1182no—
1625D4—1181no—
1626D4—1181no—
1627D4—1181no—
1628D4—1181no—
1629D4—1181no—
1630D4—4721no—
1631D4—4721no—
1632D4—4721no—
1633D4—4721no—
1634D4—2362no—
1635D4—2362no—
1636D4—2362no—
1637D4—2362no—
1638D4—2362no—
1639D4—2362no—
1640D4—2362no—
1641D4—2362no—
1642D4—2362no—
1643D4#41×D5912yes—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—42no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—591no—
1658C2×C4—591no—
1659C2×C4—591no—
1660C2×C4—591no—
1661C2×C4—591no—
1662C2×C4—591no—
1663C2×C4—591no—
1664C2×C4—1182no—
1665C2×C4—1182no—
1666C2×C4—1182no—
1667C2×C4—1182no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—4721no—
1676C2×C4—4721no—
1677C2×C4—4721no—
1678C2×C4—4721no—
1679C2×C4—4721no—
1680C2×C4—4721no—
1681C2×C4—4721no—
1682C2×C4—4721no—
1683C2×C4—4721no—
1684C2×C4—2362no—
1685C2×C4—2362no—
1686C2×C4—2362no—
1687C2×C4—2362no—
1688C2×C4—2362no—
1689C2×C4—2362no—
1690C2×C4—2362no—
1691C2×C4—2362no—
1692C2×C4—2361no—
1693C2×C4—2361no—
1694C2×C4—2362no—
1695C2×C4C2×D4×D5911yescharacteristic
1696C2×C4C2×D4×D5911yescharacteristic
1697C2×C4C2×D4×D5911yescharacteristic
1698C2×C4C2×D4×D5911yescharacteristic
1699C2×C4C24×D5911yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—592no—
1705C8—1181no—
1706C8—1181no—
1707C8—1181no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—84no—
1724C22—592no—
1725C22—1181no—
1726C22—1181no—
1727C22—1182no—
1728C22—4724no—
1729C22—4724no—
1730C22—4724no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22—2361no—
1738C22—2361no—
1739C22C22×D4×D5911yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—592no—
1750C4—1181no—
1751C4—1181no—
1752C4—1181no—
1753C4—1181no—
1754C4—1181no—
1755C4—1181no—
1756C4—2361no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4—2361no—
1761C4C2×#41×D5911yescharacteristic
1762C4#1683823711yescharacteristic
1763C2—41no—
1764C2—41no—
1765C2—42no—
1766C2—81no—
1767C2—81no—
1768C2—1182no—
1769C2—4721no—
1770C2—4721no—
1771C2—2362no—
1772C2#2143758011yescharacteristic
1773C2#575×D5911yescharacteristic
1774C2#576×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3322C2
socleC22×C59C23×D4
hypercenter#3322D59
hypocenterC59#61444
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #21437703C2semidirect
2. #21437701C2semidirect
3. #21437184C2semidirect
4. #21437054C2semidirect
5. #21436855C2semidirect
6. #21436845C2semidirect
7. #21436696C2semidirect
8. #21436584C2semidirect
9. #21436574C2semidirect
10. #21436299C2semidirect
11. #21436238C2semidirect
12. #21436232C2semidirect
13. #21436178C2semidirect
14. #21436172C2semidirect
15. #21435703C2semidirect
16. #21435579C2semidirect
17. #21435574C2semidirect
18. #21434686C2semidirect
19. #21434684C2semidirect
20. #21434665C2semidirect
21. #21434148C2semidirect
22. #21434142C2semidirect
23. #21434117C2semidirect
24. #21434107C2semidirect
25. #21434093C2semidirect
26. #21434091C2semidirect
27. #21433059C2semidirect
28. #21432909C2semidirect
29. #21432900C2semidirect
30. C4×D8×D59C2semidirect
31. C59×#3322C2semidirect
35. #16838135C22semidirect
36. #16838134C22semidirect
37. #16838111C22semidirect
38. #16838110C22semidirect
39. #16838108C22semidirect
40. #16838107C22semidirect
42. #16838098C22semidirect
51. #16838048C22semidirect
55. #16838036C22semidirect
56. D4×C22⋊D59C22semidirect
57. #16837947C22semidirect
58. #16837947C22semidirect
59. #16837938C22semidirect
60. #16837937C22semidirect
62. #16837933C22semidirect
63. #16837931C22semidirect
69. #41×Dic59C22semidirect
70. #16837870C22semidirect
72. C2×D4×Dic59C22semidirect
73. C2×#14273689C22semidirect
76. C4×D4×D59C22semidirect
77. C4×D4×D59C22semidirect
78. #16837810C22semidirect
79. #16837809C22semidirect
80. #16837801C22semidirect
81. #16837790C22semidirect
82. #16837788C22semidirect
83. #16837784C22semidirect
84. #16837765C22semidirect
85. #16837765C22semidirect
86. #16837763C22semidirect
87. #16837760C22semidirect
88. #16837757C22semidirect
89. #16837744C22semidirect
90. #16837739C22semidirect
91. #16837736C22semidirect
92. #16837726C22semidirect
93. #16837723C22semidirect
94. #16837722C22semidirect
95. #16837719C22semidirect
96. #16837716C22semidirect
97. #16837715C22semidirect
98. #16837713C22semidirect
99. #16837711C22semidirect
100. #16837708C22semidirect
101. #16837704C22semidirect
102. #16837703C22semidirect
103. #16837702C22semidirect
104. #16837701C22semidirect
105. #16837699C22semidirect
106. #16837681C22semidirect
107. #16837681C22semidirect
108. #16837680C22semidirect
109. #16837680C22semidirect
110. #16837655C22semidirect
111. #16837653C22semidirect
112. #16837653C22semidirect
113. #16837650C22semidirect
114. #16837648C22semidirect
115. #16837646C22semidirect
116. #16837642C22semidirect
118. #16837634C22semidirect
119. #16837630C22semidirect
120. #16837627C22semidirect
121. #16837622C22semidirect
122. #16837620C22semidirect
123. #16837618C22semidirect
124. #16837617C22semidirect
125. #16837615C22semidirect
126. #16837614C22semidirect
128. #16837596C22semidirect
130. #16837595C22semidirect
131. #16837564C22semidirect
132. #16837562C22semidirect
133. #16837554C22semidirect
134. #16837551C22semidirect
136. #16837538C22semidirect
138. #16837536C22semidirect
139. #16837535C22semidirect
141. #16837532C22semidirect
142. #16837529C22semidirect
145. #16837511C22semidirect
146. #16837511C22semidirect
147. #16837505C22semidirect
148. #16837505C22semidirect
149. #16837499C22semidirect
150. #16837499C22semidirect
151. #16837494C22semidirect
152. #16837493C22semidirect
153. #16837493C22semidirect
154. SD16×Dic59C22semidirect
155. #16837489C22semidirect
156. #16837487C22semidirect
157. #16837487C22semidirect
158. C4×D472C22semidirect
159. D8×Dic59C22semidirect
160. D8×Dic59C22semidirect
161. #16837484C22semidirect
162. #16837484C22semidirect
164. C4×#11745669C22semidirect
166. #16837482C22semidirect
167. #16837482C22semidirect
168. #16837482C22semidirect
169. #16837482C22semidirect
170. #16837480C22semidirect
171. #16837476C22semidirect
172. #16837476C22semidirect
173. #16837471C22semidirect
174. #16837471C22semidirect
175. #16837454C22semidirect
176. #16837452C22semidirect
177. #16837452C22semidirect
178. #16837445C22semidirect
179. #16837442C22semidirect
180. #107×D59C22semidirect
181. #16837408C22semidirect
182. #16837404C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. M16×Dic59C22semidirect
186. M16×Dic59C22semidirect
187. C4×C8×D59C22semidirect
188. C59×#553C22semidirect
189. C59×#546C22semidirect
190. C59×#488C22semidirect
191. C59×#485C22semidirect
192. C59×#480C22semidirect
193. C59×#478C22semidirect
194. C59×#469C22semidirect
195. C59×#468C22semidirect
196. C59×#463C22semidirect
198. C59×#447C22semidirect
199. C4×D8×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#418C22semidirect
202. C59×#417C22semidirect
622. #11745669#41semidirect
886. #3322D59semidirect
933. #553C2×D59semidirect
943. #546C2×D59semidirect
978. #488C2×D59semidirect
980. #485C2×D59semidirect
990. #480C2×D59semidirect
998. #478C2×D59semidirect
1006. #469C2×D59semidirect
1010. #468C2×D59semidirect
1022. #463C2×D59semidirect
1038. #447C2×D59semidirect
1068. C4×D8C2×D59semidirect
1070. #436C2×D59semidirect
1082. #418C2×D59semidirect
1084. #417C2×D59semidirect
1090. C59#61444semidirect

Maximal subgroups

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

subgroupindex
#214377032
#214377012
#214371842
#214370542
#214368552
#214368452
#214366962
#214365842
#214365742
#214362992
#214362382
#214362322
#214361782
#214361722
#214357032
#214355792
#214355742
#214346862
#214346842
#214346652
#214341482
#214341422
#214341172
#214341072
#214340932
#214340912
#214330592
#214329092
#214329002
C4×D8×D592
C59×#33222
#6144459