Finite Group Databasebeta

← #29470408

Subgroups — #29470408

Order 15104.

1868 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437658C211yesmaximal, characteristic, complemented
2#21437652C211yesmaximal, characteristic, complemented
3#21437175C211yesmaximal, characteristic, complemented
4#21437054C211yesmaximal, characteristic, complemented
5#21436927C211yesmaximal, characteristic, complemented
6#21436921C211yesmaximal, characteristic, complemented
7#21436668C211yesmaximal, characteristic, complemented
8#21436615C211yesmaximal, characteristic, complemented
9#21436609C211yesmaximal, characteristic, complemented
10#21436319C211yesmaximal, characteristic, complemented
11#21436309C211yesmaximal, characteristic, complemented
12#21436256C211yesmaximal, characteristic, complemented
13#21436250C211yesmaximal, characteristic, complemented
14#21436196C211yesmaximal, characteristic, complemented
15#21436190C211yesmaximal, characteristic, complemented
16#21435702C211yesmaximal, characteristic, complemented
17#21435625C211yesmaximal, characteristic, complemented
18#21435614C211yesmaximal, characteristic, complemented
19#21434700C211yesmaximal, characteristic, complemented
20#21434698C211yesmaximal, characteristic, complemented
21#21434660C211yesmaximal, characteristic, complemented
22#21434165C211yesmaximal, characteristic, complemented
23#21434163C211yesmaximal, characteristic, complemented
24#21434147C211yesmaximal, characteristic, complemented
25#21434141C211yesmaximal, characteristic, complemented
26#21434116C211yesmaximal, characteristic, complemented
27#21433057C211yesmaximal, characteristic, complemented
28C4×#14273754C211yesmaximal, characteristic, complemented
29C4×#14273751C211yesmaximal, characteristic, complemented
30C4×#14273747C211yesmaximal, characteristic, complemented
31C59×#3102C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic
33C2×#14273751C2211yescharacteristic
34C2×#14273747C2211yescharacteristic
35#16838124C2211yescharacteristic, complemented
36#16838121C2211yescharacteristic, complemented
37#16838116C2211yescharacteristic
38#16838115C2211yescharacteristic
39#16838111C2211yescharacteristic, complemented
40#16838108C2211yescharacteristic, complemented
41#16838101—21no—
42#16838097—21no—
43#16838093C2211yescharacteristic
44#16838091C2211yescharacteristic, complemented
45#16838090C2211yescharacteristic
46#16838088—21no—
47#16838086C2211yescharacteristic, complemented
48#16838085—21no—
49#16838081—21no—
50#16838080—21no—
51#16838077—21no—
52#16838076—21no—
53#16838054C2211yescharacteristic
54#16838051C2211yescharacteristic
55#16838049C2211yescharacteristic, complemented
56#16838047C2211yescharacteristic
57#16838045C2211yescharacteristic
58#16838040C2211yescharacteristic, complemented
59#16837956C2211yescharacteristic, complemented
60#16837956C2211yescharacteristic, complemented
61#16837939C2211yescharacteristic
62#16837936—21no—
63#16837936C2211yescharacteristic, complemented
64#16837934—21no—
65#16837934C2211yescharacteristic
66#16837932—21no—
67#16837930—21no—
68#16837911—21no—
69#16837911—21no—
70C4×#11745689C2211yescharacteristic
71C4×#11745685C2211yescharacteristic
72C4×#11745685C2211yescharacteristic, complemented
73C4×#11745687C2211yescharacteristic
74C4×D4×D59C2211yescharacteristic, complemented
75C4×D4×D59C2211yescharacteristic, complemented
76C2×#14273684—21no—
77#117×D59—21no—
78#16837810C2211yescharacteristic, complemented
79#16837809C2211yescharacteristic, complemented
80#16837801C2211yescharacteristic, complemented
81#16837795C2211yescharacteristic, complemented
82#16837793C2211yescharacteristic, complemented
83#16837784C2211yescharacteristic
84#16837769C2211yescharacteristic, complemented
85#16837769C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837759C2211yescharacteristic, complemented
89#16837756C2211yescharacteristic, complemented
90#16837746C2211yescharacteristic, complemented
91#16837745C2211yescharacteristic, complemented
92#16837744C2211yescharacteristic, complemented
93#16837742C2211yescharacteristic, complemented
94#16837741C2211yescharacteristic, complemented
95#16837739C2211yescharacteristic, complemented
96#16837736C2211yescharacteristic, complemented
97#16837727C2211yescharacteristic, complemented
98#16837722C2211yescharacteristic
99#16837719C2211yescharacteristic
100#16837710C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837704C2211yescharacteristic, complemented
103#16837703C2211yescharacteristic, complemented
104#16837701C2211yescharacteristic, complemented
105#16837700C2211yescharacteristic, complemented
106#16837686C2211yescharacteristic, complemented
107#16837685C2211yescharacteristic, complemented
108#16837681C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837661C2211yescharacteristic, complemented
111#16837659C2211yescharacteristic, complemented
112#16837659C2211yescharacteristic, complemented
113#16837657C2211yescharacteristic, complemented
114#16837651C2211yescharacteristic
115#16837649C2211yescharacteristic
116#16837647C2211yescharacteristic
117#16837645C2211yescharacteristic
118#16837641C2211yescharacteristic, complemented
119#16837636C2211yescharacteristic
120#16837633C2211yescharacteristic, complemented
121#16837629C2211yescharacteristic, complemented
122#16837625C2211yescharacteristic, complemented
123#16837620C2211yescharacteristic
124#16837619C2211yescharacteristic
125#16837618C2211yescharacteristic
126#16837616C2211yescharacteristic
127#16837615C2211yescharacteristic
128#16837611C2211yescharacteristic, complemented
129#16837610C2211yescharacteristic, complemented
130#16837606C2211yescharacteristic, complemented
131#16837605C2211yescharacteristic, complemented
132#16837567C2211yescharacteristic
133#16837566C2211yescharacteristic, complemented
134#16837565C2211yescharacteristic
135#16837563C2211yescharacteristic
136#16837561C2211yescharacteristic
137#16837554C2211yescharacteristic, complemented
138#16837551C2211yescharacteristic, complemented
139#16837549C2211yescharacteristic
140#16837537C2211yescharacteristic
141#16837534C2211yescharacteristic
142#16837529C2211yescharacteristic, complemented
143#16837529C2211yescharacteristic, complemented
144#16837514C2211yescharacteristic
145#16837513C2211yescharacteristic
146#16837511C2211yescharacteristic
147#16837511C2211yescharacteristic
148#16837505C2211yescharacteristic, complemented
149#16837503C2211yescharacteristic, complemented
150#16837501C2211yescharacteristic, complemented
151#16837499C2211yescharacteristic, complemented
152C4×Dic236C2211yescharacteristic, complemented
153C4×#11745672C2211yescharacteristic, complemented
154C4×#11745672C2211yescharacteristic, complemented
155C4×#11745672C2211yescharacteristic, complemented
156C4×#11745660C2211yescharacteristic, complemented
157C4×#11745660C2211yescharacteristic, complemented
158C4×#11745671C2211yescharacteristic, complemented
159C4×#11745671C2211yescharacteristic, complemented
160C4×#11745671C2211yescharacteristic, complemented
161C4×#11745670C2211yescharacteristic, complemented
162C4×#11745670C2211yescharacteristic, complemented
163C4×#11745670C2211yescharacteristic, complemented
164C4×D472C2211yescharacteristic
165C4×#11745669C2211yescharacteristic
166C4×#11745669C2211yescharacteristic
167C4×#11745669C2211yescharacteristic
168#16837479C2211yescharacteristic
169#16837479C2211yescharacteristic
170#16837470C2211yescharacteristic, complemented
171#16837470C2211yescharacteristic, complemented
172#16837470C2211yescharacteristic, complemented
173#16837470C2211yescharacteristic, complemented
174#16837453C2211yescharacteristic, complemented
175#16837453C2211yescharacteristic, complemented
176#16837443C2211yescharacteristic, complemented
177#16837441C2211yescharacteristic, complemented
178#16837438C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837402C2211yescharacteristic
182#16837400C2211yescharacteristic
183#16837398C2211yescharacteristic, complemented
184#16837396C2211yescharacteristic, complemented
185C4×#11745659C2211yescharacteristic, complemented
186C4×#11745659C2211yescharacteristic, complemented
187C2×C4×C59⋊C8C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic, complemented
189C4×#41×C59C2211yescharacteristic, complemented
190C59×#485C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#479C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic
196C59×#452C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic
198C4×Q16×C59C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C4×SD16×C59C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic
202C59×#431C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685D411yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C2×D4×D59C2311yescharacteristic
208C2×D4×D59C2311yescharacteristic
209C22×C4×D59—21no—
210C22×C4×D59—21no—
211#14273754—24no—
212#14273751—24no—
213#14273747—24no—
214C2×Dic236C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×D472C2311yescharacteristic
224C2×#11745669C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745659C2311yescharacteristic
227C2×#11745659C2311yescharacteristic
228C2×#11745659C2311yescharacteristic
229C2×#11745659C2311yescharacteristic
230C22×C59⋊C8C2311yescharacteristic
231C22×C59⋊C8C2311yescharacteristic
232#14273726C2311yescharacteristic
233#14273726C2311yescharacteristic
234#14273725C2311yescharacteristic
235#14273725C2311yescharacteristic
236#14273722—21no—
237#14273722—21no—
238#14273722—21no—
239#14273721—21no—
240#14273721—21no—
241#14273721—21no—
242#14273720—21no—
243#14273720—21no—
244#14273720—21no—
245#14273720—21no—
246#14273720—21no—
247#14273719—21no—
248#14273719C2311yescharacteristic
249#14273718—21no—
250#14273718C2311yescharacteristic
251#14273718C2311yescharacteristic
252#14273717—21no—
253#14273717—21no—
254#14273717—21no—
255#14273717—21no—
256#14273716C2311yescharacteristic
257#14273715—21no—
258#14273715C2311yescharacteristic
259#14273714—21no—
260#14273714C2311yescharacteristic
261#14273713—21no—
262#14273713—21no—
263#14273712—21no—
264#14273712—21no—
265#14273712—21no—
266#14273712—21no—
267#14273711—21no—
268#14273710—21no—
269#14273710—21no—
270#14273710—21no—
271#14273709—21no—
272#14273709—21no—
273#14273709—21no—
274#14273709—21no—
275#14273709—21no—
276#14273709—21no—
277#14273708—21no—
278#14273707—21no—
279#14273707C2311yescharacteristic
280#14273707C2311yescharacteristic
281#14273707C2311yescharacteristic
282#14273706—21no—
283#14273706C2311yescharacteristic
284#14273705—21no—
285#14273705—21no—
286#14273705—21no—
287#14273705—21no—
288#14273705—21no—
289#14273704—21no—
290#14273704—21no—
291#14273704—21no—
292#14273703C2311yescharacteristic
293#14273703C2311yescharacteristic
294#14273703C2311yescharacteristic
295#14273702C2311yescharacteristic
296#14273701—21no—
297#14273701C2311yescharacteristic
298#14273700—21no—
299#14273700—21no—
300#14273700—21no—
301#14273699—21no—
302#14273699—21no—
303#14273699—21no—
304#14273698—21no—
305#14273698C2311yescharacteristic
306#14273697—21no—
307#14273697—21no—
308#14273695—21no—
309#14273695—21no—
310Q8×Dic59C2311yescharacteristic
311C4×Dic118—21no—
312C4×Dic118—21no—
313C4×Dic118D411yescharacteristic
314C4×Dic118C2311yescharacteristic
315C4×Dic118C2311yescharacteristic
316C4×Dic118C2311yescharacteristic
317C4×Dic118C2311yescharacteristic
318#14273692C2311yescharacteristic
319C4×D236—21no—
320C4×D236—21no—
321C4×D236D411yescharacteristic
322C4×D236C2311yescharacteristic
323C4×D236C2311yescharacteristic
324C4×D236C2311yescharacteristic
325C4×D236C2311yescharacteristic
326D4×Dic59C2311yescharacteristic
327D4×Dic59C2311yescharacteristic
328D4×Dic59C2311yescharacteristic
329#14273689—21no—
330#14273689C2311yescharacteristic
331#14273689C2311yescharacteristic
332#14273689C2311yescharacteristic
333C4×C22⋊D59—21no—
334C4×C22⋊D59—21no—
335C4×C22⋊D59—21no—
336C4×C22⋊D59—21no—
337C4×C22⋊D59—21no—
338C4×C22⋊D59—21no—
339C4×C22⋊D59—21no—
340C4×C22⋊D59D411yescharacteristic
341C4×C22⋊D59D411yescharacteristic
342C4×C22⋊D59C2311yescharacteristic
343C4×C22⋊D59C2311yescharacteristic
344(C22⋊D59)⋊C4—21no—
345(C22⋊D59)⋊C4—21no—
346(C22⋊D59)⋊C4—21no—
347#14273686—21no—
348#14273686D411yescharacteristic
349#14273686C2311yescharacteristic
350#14273685—21no—
351#14273685—21no—
352#14273685—21no—
353#14273685C2311yescharacteristic
354#14273685C2311yescharacteristic
355#14273684—21no—
356#14273684—21no—
357#14273684—21no—
358#14273684—21no—
359#14273684—21no—
360#14273684—21no—
361#14273684—21no—
362#14273684—21no—
363#14273684—21no—
364#14273684D411yescharacteristic
365#14273684D411yescharacteristic
366#14273683—21no—
367#14273683—21no—
368#14273683—21no—
369C2×Dic59⋊C4—21no—
370C2×Dic59⋊C4—21no—
371C4⋊C4×D59—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59C2311yescharacteristic
374C4⋊C4×D59C2311yescharacteristic
375C2×(C2×D59)⋊C4—21no—
376C2×(C2×D59)⋊C4—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C2×C4×Dic59—21no—
382C42×D59—21no—
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385C42×D59C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434C4×C59⋊C8C2311yescharacteristic
435C4×C59⋊C8C2311yescharacteristic
436C4×C59⋊C8C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C2×#41×C59C2311yescharacteristic
439C2×Q16×C59C2311yescharacteristic
440C2×SD16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443#126×C59—21no—
444#125×C59C2311yescharacteristic
445#124×C59C2311yescharacteristic
446#123×C59—21no—
447C22⋊Q8×C59C2311yescharacteristic
448#121×C59C2311yescharacteristic
449C4×Q8×C59C2311yescharacteristic
450C4×Q8×C59C2311yescharacteristic
451C4×Q8×C59C2311yescharacteristic
452C4×D4×C59—21no—
453C4×D4×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458#117×C59—21no—
459#117×C59—21no—
460#117×C59C2311yescharacteristic
461C2×C42×C59—21no—
462C2×C42×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477C22⋊C8×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C4×C8×C59C2311yescharacteristic
480C4×C8×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483#41×C59—22no—
484#41×C59—41no—
485C2×Q8×C59C2411yescharacteristic
486C2×Q8×C59C2411yescharacteristic
487C2×D4×C59—21no—
488C2×D4×C59—21no—
489C2×D4×C59C2411yescharacteristic
490C2×D4×C59C2411yescharacteristic
491C22×C4×C59—21no—
492C22×C4×C59—21no—
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C22×C4×C59C2×D411yescharacteristic
496C22×C4×C59C2×D411yescharacteristic
497C22×C4×C59C2411yescharacteristic
498C2×C22⋊D59—21no—
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59C2×D411yescharacteristic
505C2×C22⋊D59C2×D411yescharacteristic
506C22×Dic59—21no—
507C22×Dic59—21no—
508C22×Dic59—21no—
509C22×Dic59—21no—
510#11745689—22no—
511#11745689—41no—
512#11745687—22no—
513#11745687—41no—
514D4×D59—22no—
515D4×D59—22no—
516D4×D59—41no—
517D4×D59—41no—
518#11745685—22no—
519#11745685—41no—
520#11745685—42no—
521C2×D236—21no—
522C2×D236—21no—
523C2×D236C2×D411yescharacteristic
524C2×D236C2411yescharacteristic
525C2×D236C2411yescharacteristic
526C2×C4×D59—21no—
527C2×C4×D59—21no—
528C2×C4×D59—21no—
529C2×C4×D59—21no—
530C2×C4×D59—21no—
531C2×C4×D59—21no—
532C2×C4×D59—21no—
533C2×C4×D59—21no—
534C2×C4×D59—21no—
535C2×C4×D59—21no—
536C2×C4×D59—44no—
537C2×C4×D59—44no—
538C2×C4×D59C2×D411yescharacteristic
539C2×C4×D59C2×D411yescharacteristic
540C2×C4×D59C2×D411yescharacteristic
541C2×C4×D59C2×D411yescharacteristic
542C2×C4×D59C2411yescharacteristic
543C2×C4×D59C2411yescharacteristic
544C2×Dic118—21no—
545C2×Dic118—21no—
546C2×Dic118C2×D411yescharacteristic
547C2×Dic118C2411yescharacteristic
548C2×Dic118C2411yescharacteristic
549Q16×C59—41no—
550SD16×C59—22no—
551SD16×C59—41no—
552D8×C59—22no—
553C2×C8×C59C2411yescharacteristic
554C2×C8×C59C2411yescharacteristic
555C2×C8×C59C2411yescharacteristic
556C2×C8×C59C2411yescharacteristic
557C4⋊C4×C59—21no—
558C4⋊C4×C59—21no—
559C4⋊C4×C59—21no—
560C4⋊C4×C59—21no—
561C4⋊C4×C59—21no—
562C4⋊C4×C59—21no—
563C4⋊C4×C59C2411yescharacteristic
564C4⋊C4×C59C2411yescharacteristic
565C4⋊C4×C59C2411yescharacteristic
566C4⋊C4×C59C2411yescharacteristic
567C22⋊C4×C59—21no—
568C22⋊C4×C59—21no—
569C22⋊C4×C59—21no—
570C22⋊C4×C59—21no—
571C22⋊C4×C59—21no—
572C22⋊C4×C59—21no—
573C22⋊C4×C59—21no—
574C22⋊C4×C59—21no—
575C42×C59—21no—
576C42×C59—21no—
577C42×C59—21no—
578C42×C59—21no—
579C42×C59C2×D411yescharacteristic
580C42×C59C2×D411yescharacteristic
581C42×C59C2411yescharacteristic
582C42×C59C2411yescharacteristic
583C22⋊Dic59—21no—
584C22⋊Dic59—21no—
585C22⋊Dic59—21no—
586C22⋊Dic59—21no—
587C22⋊Dic59—21no—
588C22⋊Dic59—21no—
589C22⋊Dic59—21no—
590C22⋊Dic59—21no—
591C22⋊Dic59C2×D411yescharacteristic
592C22⋊Dic59C2×D411yescharacteristic
593#11745672—22no—
594#11745672—41no—
595#11745671—22no—
596#11745671—22no—
597#11745670—22no—
598#11745670—22no—
599#11745669—41no—
600#11745669#4114yescomplemented
601(C2×D59)⋊C4—21no—
602(C2×D59)⋊C4—21no—
603(C2×D59)⋊C4—21no—
604(C2×D59)⋊C4—21no—
605(C2×D59)⋊C4—21no—
606(C2×D59)⋊C4—21no—
607(C2×D59)⋊C4—21no—
608(C2×D59)⋊C4—21no—
609(C2×D59)⋊C4—21no—
610(C2×D59)⋊C4—21no—
611(C2×D59)⋊C4—21no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4C2×D411yescharacteristic
622(C2×D59)⋊C4C2×D411yescharacteristic
623(C2×D59)⋊C4C2×D411yescharacteristic
624(C2×D59)⋊C4C2×D411yescharacteristic
625C4⋊Dic59—21no—
626C4⋊Dic59—21no—
627C4⋊Dic59—21no—
628C4⋊Dic59—21no—
629C4⋊Dic59—21no—
630C4⋊Dic59—21no—
631C4⋊Dic59C2×D411yescharacteristic
632C4⋊Dic59C2×D411yescharacteristic
633C4⋊Dic59C2411yescharacteristic
634C4⋊Dic59C2411yescharacteristic
635C4⋊Dic59C2411yescharacteristic
636C4⋊Dic59C2411yescharacteristic
637Dic59⋊C4—21no—
638Dic59⋊C4—21no—
639Dic59⋊C4—21no—
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4—21no—
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4C2×D411yescharacteristic
658Dic59⋊C4C2×D411yescharacteristic
659Dic59⋊C4C2×D411yescharacteristic
660Dic59⋊C4C2×D411yescharacteristic
661C4×Dic59—21no—
662C4×Dic59—21no—
663C4×Dic59—21no—
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59C2×D411yescharacteristic
670C4×Dic59C2×D411yescharacteristic
671C4×Dic59C2×D411yescharacteristic
672C4×Dic59C2×D411yescharacteristic
673C4×Dic59C2411yescharacteristic
674C4×Dic59C2411yescharacteristic
675C2×C59⋊C8—22no—
676C2×C59⋊C8—41no—
677C2×C59⋊C8C2411yescharacteristic
678C2×C59⋊C8C2411yescharacteristic
679C2×C59⋊C8C2411yescharacteristic
680C2×C59⋊C8C2411yescharacteristic
681Dic236—41no—
682D472—22no—
683#11745660—22no—
684#11745660—41no—
685#11745659—22no—
686#11745659—22no—
687#11745659—41no—
688#11745659—41no—
689C23×C59—21no—
690C23×C59—21no—
691C23×C59C22×D411yescharacteristic
692C22×D59—21no—
693C22×D59—21no—
694C22×D59—42no—
695C22×D59—42no—
696C22×D59—42no—
697C22×D59—42no—
698C22×D59—81no—
699C22×D59—81no—
700C22×D59C22×D411yescharacteristic
701C22×D59C22×D411yescharacteristic
702Q8×C59—21no—
703Q8×C59—21no—
704Q8×C59—21no—
705Q8×C59—21no—
706D4×C59—21no—
707D4×C59—21no—
708D4×C59—21no—
709D4×C59—42no—
710D4×C59—81no—
711D4×C59C2×#4112yes—
712C2×C4×C59—22no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—41no—
722C2×C4×C59—42no—
723C2×C4×C59—42no—
724C2×C4×C59—42no—
725C2×C4×C59—81no—
726C2×C4×C59C22×D411yescharacteristic
727C2×C4×C59C22×D411yescharacteristic
728C2×C4×C59C22×D411yescharacteristic
729C2×C4×C59C22×D411yescharacteristic
730C2×C4×C59C22×D411yescharacteristic
731C2×C4×C59C2511yescharacteristic
732C22⋊D59—41no—
733C22⋊D59—41no—
734C22⋊D59—42no—
735C22⋊D59—42no—
736C22⋊D59—42no—
737C22⋊D59—42no—
738C22⋊D59—81no—
739C22⋊D59—81no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—42no—
747C2×Dic59—42no—
748C2×Dic59—42no—
749C2×Dic59—81no—
750C2×Dic59C22×D411yescharacteristic
751C2×Dic59C22×D411yescharacteristic
752C2×Dic59C22×D411yescharacteristic
753C2×Dic59C22×D411yescharacteristic
754C2×Dic59C22×D411yescharacteristic
755C2×Dic59C22×D411yescharacteristic
756D236—21no—
757D236—21no—
758D236—21no—
759D236—41no—
760D236—42no—
761D236—81no—
762D236C2×#4112yes—
763C4×D59—22no—
764C4×D59—22no—
765C4×D59—21no—
766C4×D59—21no—
767C4×D59—21no—
768C4×D59—21no—
769C4×D59—41no—
770C4×D59—41no—
771C4×D59—42no—
772C4×D59—42no—
773C4×D59—42no—
774C4×D59—42no—
775C4×D59—42no—
776C4×D59—42no—
777C4×D59—42no—
778C4×D59—42no—
779C4×D59—81no—
780C4×D59—81no—
781Dic118—21no—
782Dic118—21no—
783Dic118—21no—
784Dic118—21no—
785Dic118—41no—
786Dic118—81no—
787Dic118—81no—
788C8×C59—21no—
789C8×C59—21no—
790C8×C59—21no—
791C8×C59—21no—
792C59⋊C8—21no—
793C59⋊C8—21no—
794C59⋊C8—21no—
795C59⋊C8C2×#4112yes—
796#61442—591nomaximal, Sylow
797C22×C59—21no—
798C22×C59—22no—
799C22×C59—21no—
800C22×C59—21no—
801C22×C59—41no—
802C22×C59—41no—
803C22×C59—41no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59C23×D411yescharacteristic
807C2×D59—21no—
808C2×D59—21no—
809C2×D59—21no—
810C2×D59—21no—
811C2×D59—22no—
812C2×D59—21no—
813C2×D59—21no—
814C2×D59—41no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—84no—
820C2×D59—84no—
821C4×C59—21no—
822C4×C59—21no—
823C4×C59—21no—
824C4×C59—21no—
825C4×C59—41no—
826C4×C59—41no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59#57512yes—
832C4×C59C22×#4111yescharacteristic
833C4×C59#58511yescharacteristic
834Dic59—21no—
835Dic59—21no—
836Dic59—21no—
837Dic59—21no—
838Dic59—21no—
839Dic59—21no—
840Dic59—41no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59—41no—
846#3475—591no—
847#3475—591no—
848#3402—591no—
849#3389—591no—
850#3376—591no—
851#3376—591no—
852#3352—591no—
853#3348—591no—
854#3348—591no—
855#3323—591no—
856#3323—591no—
857#3319—591no—
858#3319—591no—
859#3315—591no—
860#3315—591no—
861#3273—591no—
862#3267—591no—
863#3267—591no—
864#3172—591no—
865#3172—591no—
866#3168—591no—
867#3107—591no—
868#3107—591no—
869#3105—591no—
870#3105—591no—
871#3102—591no—
872#3102D5911yescharacteristic, complemented
873#2965—591no—
874C4×AGL(1,ℤ/8)—591no—
875C4×AGL(1,ℤ/8)—591no—
876C4×#135—591no—
877C2×C59—42no—
878C2×C59—41no—
879C2×C59—81no—
880C2×C59D4×#4111yescharacteristic
881C2×C59C2×#57511yescharacteristic
882C2×C59#358411yescharacteristic
883D59—41no—
884D59—41no—
885D59—42no—
886D59—81no—
887C2×AGL(1,ℤ/8)—591no—
888C2×AGL(1,ℤ/8)—591no—
889C2×#135—591no—
890#556—591no—
891#556—591no—
892#555—591no—
893#555—591no—
894#554—591no—
895#554—591no—
896#553—1181no—
897#553—1181no—
898#552—591no—
899#552—591no—
900#552—591no—
901#552—591no—
902#552—1181no—
903#552—1181no—
904#551—1181no—
905#551—1181no—
906#551—1181no—
907#551—1181no—
908#547—591no—
909#547—591no—
910#546—591no—
911#546—591no—
912#546—591no—
913#546—591no—
914#533—591no—
915#533—591no—
916#529—591no—
917#529—591no—
918#529—591no—
919#529—1181no—
920#529—1181no—
921#529—1181no—
922#529—1181no—
923#529C2×D5911yescharacteristic, complemented
924#525—1181no—
925#525—1181no—
926C4×#41—591no—
927C4×#41—591no—
928C4×#41—591no—
929C4×#41—591no—
930C4×#41C2×D5911yescharacteristic, complemented
931C2×C4×D4—591no—
932C2×C4×D4—591no—
933C2×#117—1181no—
934C2×#117—1181no—
935#501—591no—
936#501—591no—
937#499—591no—
938#497—591no—
939#497—591no—
940#495—591no—
941#491—591no—
942#491—591no—
943#489—591no—
944#489—591no—
945#488—591no—
946#488—591no—
947#485—591no—
948#485—591no—
949#485—591no—
950#485—591no—
951#485—591no—
952#485C2×D5911yescharacteristic, complemented
953#484—591no—
954#484—591no—
955#482—591no—
956#482C2×D5911yescharacteristic, complemented
957#481—591no—
958#481—591no—
959#479—591no—
960#479C2×D5911yescharacteristic, complemented
961#478—591no—
962#478—591no—
963#478—591no—
964#478—591no—
965#478—591no—
966#478C2×D5911yescharacteristic, complemented
967#475—591no—
968#475—591no—
969#474—591no—
970#474—591no—
971#470—591no—
972#470—591no—
973#470—591no—
974#470—591no—
975#468—591no—
976#468—591no—
977#468—591no—
978#468—591no—
979#467—591no—
980#466—591no—
981#465—591no—
982#465—591no—
983#464—591no—
984#464C2×D5911yescharacteristic, complemented
985#463—591no—
986#463—591no—
987#463—591no—
988#463—591no—
989#463—591no—
990#463C2×D5911yescharacteristic
991#462—591no—
992#462—591no—
993#461—591no—
994#461—591no—
995#452—591no—
996#452—591no—
997#452—591no—
998#452—591no—
999#452—591no—
1000#452C2×D5911yescharacteristic, complemented
1001#450—591no—
1002#450—591no—
1003#449—591no—
1004#449C2×D5911yescharacteristic
1005#447—591no—
1006#447—591no—
1007#446—591no—
1008#446—591no—
1009#442—591no—
1010#442—591no—
1011#442—591no—
1012#442—591no—
1013#440—591no—
1014#440—591no—
1015#440—591no—
1016#440—591no—
1017C4×Q16—591no—
1018C4×Q16—591no—
1019C4×Q16—591no—
1020C4×Q16—591no—
1021C4×Q16C2×D5911yescharacteristic, complemented
1022C4×SD16—591no—
1023C4×SD16—591no—
1024C4×SD16—591no—
1025C4×SD16—591no—
1026C4×SD16—591no—
1027C4×SD16—591no—
1028C4×SD16—591no—
1029C4×SD16—591no—
1030C4×SD16C2×D5911yescharacteristic, complemented
1031C4×SD16C2×D5911yescharacteristic, complemented
1032C4×D8—591no—
1033C4×D8—591no—
1034C4×D8—591no—
1035C4×D8—591no—
1036C4×D8C2×D5911yescharacteristic
1037#436—591no—
1038#436—591no—
1039#435—591no—
1040#435—591no—
1041#435—591no—
1042#435—591no—
1043#431—591no—
1044#431—591no—
1045#431C2×D5911yescharacteristic, complemented
1046#428—591no—
1047#428—591no—
1048#427—591no—
1049#418—591no—
1050#418—591no—
1051#417—591no—
1052#417—591no—
1053#416—591no—
1054#416—591no—
1055C4×M16—591no—
1056C4×M16—591no—
1057C2×C4×C8—591no—
1058C59#6144211yescharacteristic, complemented, Sylow
1059C2×#41—591no—
1060C2×#41—591no—
1061C2×#41—591no—
1062C2×#41—591no—
1063C2×#41C22×D5911yescharacteristic
1064C22×D4—591no—
1065C22×D4—591no—
1066C23×C4—1181no—
1067C23×C4—1181no—
1068AGL(1,ℤ/8)—1184no—
1069AGL(1,ℤ/8)—1184no—
1070#135—1184no—
1071C2×Q16—591no—
1072C2×Q16—591no—
1073C2×Q16—591no—
1074C2×Q16C22×D5911yescharacteristic
1075C2×SD16—591no—
1076C2×SD16—591no—
1077C2×SD16—591no—
1078C2×SD16—591no—
1079C2×SD16—591no—
1080C2×SD16—591no—
1081C2×SD16C22×D5911yescharacteristic
1082C2×SD16C22×D5911yescharacteristic
1083C2×D8—591no—
1084C2×D8—591no—
1085C2×D8—591no—
1086C2×D8C22×D5911yescharacteristic
1087C2×M16—591no—
1088C2×M16—591no—
1089C2×M16—591no—
1090C2×M16—591no—
1091C22×C8—591no—
1092C22×C8—591no—
1093C4⋊Q8—591no—
1094C4⋊Q8—591no—
1095C4⋊Q8—591no—
1096C4⋊Q8—591no—
1097#126—21no—
1098#126—1181no—
1099#126—1181no—
1100#126—1181no—
1101#126—1181no—
1102#126—1181no—
1103#126—1181no—
1104#126—1181no—
1105#126—1181no—
1106#126—1181no—
1107#126—1181no—
1108#126—1181no—
1109#125—591no—
1110#125—591no—
1111#125—591no—
1112#125—1181no—
1113#125—1181no—
1114#125—1181no—
1115#125—1181no—
1116#125—1181no—
1117#125—1181no—
1118#125C22×D5911yescharacteristic
1119#124—591no—
1120#124—591no—
1121#124—591no—
1122#124—1181no—
1123#124—1181no—
1124#124—1181no—
1125#124—1181no—
1126#124C22×D5911yescharacteristic
1127#123—21no—
1128#123—1181no—
1129#123—1181no—
1130#123—1181no—
1131#123—1181no—
1132#123—1181no—
1133#123—1181no—
1134#123—1181no—
1135#123—1181no—
1136#123—1181no—
1137#123—1181no—
1138#123—1181no—
1139#123—1181no—
1140#123—1181no—
1141#123—1181no—
1142#123—1181no—
1143C22⋊Q8—591no—
1144C22⋊Q8—591no—
1145C22⋊Q8—591no—
1146C22⋊Q8—591no—
1147C22⋊Q8—591no—
1148C22⋊Q8—591no—
1149C22⋊Q8—591no—
1150C22⋊Q8—1181no—
1151C22⋊Q8—1181no—
1152C22⋊Q8—1181no—
1153C22⋊Q8—1181no—
1154C22⋊Q8—1181no—
1155C22⋊Q8—1181no—
1156C22⋊Q8—1181no—
1157C22⋊Q8—1181no—
1158C22⋊Q8—1181no—
1159C22⋊Q8—1181no—
1160C22⋊Q8C22×D5911yescharacteristic
1161#121—591no—
1162#121—591no—
1163#121—591no—
1164#121—1181no—
1165#121—1181no—
1166#121—1181no—
1167#121—1181no—
1168#121—1181no—
1169#121—1181no—
1170#121—1181no—
1171#121—1181no—
1172#121C22×D5911yescharacteristic
1173#120—1181no—
1174#120—1181no—
1175#120—1181no—
1176#120—1181no—
1177C4×Q8—591no—
1178C4×Q8—591no—
1179C4×Q8—591no—
1180C4×Q8—591no—
1181C4×Q8—591no—
1182C4×Q8—591no—
1183C4×Q8—591no—
1184C4×Q8—1181no—
1185C4×Q8—1181no—
1186C4×Q8C22×D5911yescharacteristic
1187C4×Q8C22×D5911yescharacteristic
1188C4×Q8C22×D5911yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—591no—
1193C4×D4—591no—
1194C4×D4—591no—
1195C4×D4—591no—
1196C4×D4—591no—
1197C4×D4—591no—
1198C4×D4—591no—
1199C4×D4—591no—
1200C4×D4—591no—
1201C4×D4—591no—
1202C4×D4—591no—
1203C4×D4—591no—
1204C4×D4—591no—
1205C4×D4—591no—
1206C4×D4—591no—
1207C4×D4—1181no—
1208C4×D4—1181no—
1209C4×D4—1181no—
1210C4×D4—1181no—
1211C4×D4—1181no—
1212C4×D4—1181no—
1213C4×D4—1181no—
1214C4×D4—1181no—
1215C4×D4—1181no—
1216C4×D4—1181no—
1217C4×D4—1181no—
1218C4×D4—1181no—
1219C4×D4—1181no—
1220C4×D4C22×D5911yescharacteristic
1221C4×D4C22×D5911yescharacteristic
1222C4×D4C22×D5911yescharacteristic
1223#117—21no—
1224#117—21no—
1225#117—591no—
1226#117—591no—
1227#117—591no—
1228#117—591no—
1229#117—591no—
1230#117—591no—
1231#117—1181no—
1232#117—1181no—
1233#117—1181no—
1234#117—1181no—
1235#117—1181no—
1236#117—1181no—
1237#117—1181no—
1238#117—1181no—
1239#117—1181no—
1240#117—1181no—
1241#117—1181no—
1242#117—1181no—
1243#117—1181no—
1244#117—1181no—
1245#117—1181no—
1246#117—1181no—
1247#117C22×D5911yescharacteristic
1248C2×C4⋊C4—591no—
1249C2×C4⋊C4—591no—
1250C2×C4⋊C4—1181no—
1251C2×C4⋊C4—1181no—
1252C2×C4⋊C4—1181no—
1253C2×C4⋊C4—1181no—
1254C2×C22⋊C4—1181no—
1255C2×C22⋊C4—1181no—
1256C2×C22⋊C4—1181no—
1257C2×C22⋊C4—1181no—
1258C2×C22⋊C4—1181no—
1259C2×C22⋊C4—1181no—
1260C2×C42—21no—
1261C2×C42—591no—
1262C2×C42—591no—
1263C2×C42—1181no—
1264C2×C42—1181no—
1265C2×C42—1181no—
1266C2×C42C22×D5911yescharacteristic
1267#107—591no—
1268#107—591no—
1269#107—591no—
1270#107—591no—
1271#107—591no—
1272#107—591no—
1273#107C22×D5911yescharacteristic
1274#107C22×D5911yescharacteristic
1275#106—591no—
1276#106—591no—
1277#106—591no—
1278#106—591no—
1279#106—591no—
1280#106—591no—
1281#106C22×D5911yescharacteristic
1282#106C22×D5911yescharacteristic
1283C4⋊C8—591no—
1284C4⋊C8—591no—
1285C4⋊C8—591no—
1286C4⋊C8—591no—
1287C4⋊C8C22×D5911yescharacteristic
1288C4⋊C8C22×D5911yescharacteristic
1289#103—591no—
1290#103—591no—
1291#103—591no—
1292#103—591no—
1293#103—591no—
1294#103—591no—
1295#103—591no—
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103C22×D5911yescharacteristic
1302#103C22×D5911yescharacteristic
1303#103C22×D5911yescharacteristic
1304#103C22×D5911yescharacteristic
1305#102—591no—
1306#102—591no—
1307#102—591no—
1308#102—591no—
1309#102—591no—
1310#102—591no—
1311#102—591no—
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102—591no—
1317#102C22×D5911yescharacteristic
1318#102C22×D5911yescharacteristic
1319#102C22×D5911yescharacteristic
1320#102C22×D5911yescharacteristic
1321C22⋊C8—591no—
1322C22⋊C8—591no—
1323C22⋊C8—591no—
1324C22⋊C8—591no—
1325C22⋊C8C22×D5911yescharacteristic
1326C22⋊C8C22×D5911yescharacteristic
1327#97—591no—
1328#97—591no—
1329#97—591no—
1330#97—591no—
1331C4×C8—591no—
1332C4×C8—591no—
1333C4×C8—591no—
1334C4×C8—591no—
1335C4×C8C22×D5911yescharacteristic
1336C4×C8C22×D5911yescharacteristic
1337C24—1181no—
1338C24—1181no—
1339#41—22no—
1340#41—41no—
1341#41—1182no—
1342#41—1182no—
1343#41—1182no—
1344#41—2362no—
1345#41—2361no—
1346#41—2361no—
1347#41—2361no—
1348C2×Q8—591no—
1349C2×Q8—591no—
1350C2×Q8—591no—
1351C2×Q8—1181no—
1352C2×Q8—1181no—
1353C2×Q8C23×D5911yescharacteristic
1354C2×Q8C23×D5911yescharacteristic
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—591no—
1358C2×D4—591no—
1359C2×D4—591no—
1360C2×D4—591no—
1361C2×D4—591no—
1362C2×D4—1181no—
1363C2×D4—1181no—
1364C2×D4—1181no—
1365C2×D4—1181no—
1366C2×D4—1182no—
1367C2×D4—1182no—
1368C2×D4—1181no—
1369C2×D4—1181no—
1370C2×D4—1181no—
1371C2×D4—1181no—
1372C2×D4—2361no—
1373C2×D4—2361no—
1374C2×D4C23×D5911yescharacteristic
1375C2×D4C23×D5911yescharacteristic
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—591no—
1381C22×C4—591no—
1382C22×C4—591no—
1383C22×C4—591no—
1384C22×C4—591no—
1385C22×C4—591no—
1386C22×C4—1181no—
1387C22×C4—1181no—
1388C22×C4—1181no—
1389C22×C4—1181no—
1390C22×C4—1181no—
1391C22×C4—1181no—
1392C22×C4—1181no—
1393C22×C4—1181no—
1394C22×C4—1181no—
1395C22×C4—1181no—
1396C22×C4—1181no—
1397C22×C4—1181no—
1398C22×C4—1181no—
1399C22×C4—1181no—
1400C22×C4—2364no—
1401C22×C4—2364no—
1402C22×C4D4×D5911yescharacteristic
1403C22×C4D4×D5911yescharacteristic
1404C22×C4C23×D5911yescharacteristic
1405Q16—41no—
1406Q16—1182no—
1407Q16—2361no—
1408Q16—2361no—
1409SD16—22no—
1410SD16—41no—
1411SD16—1182no—
1412SD16—1182no—
1413SD16—1182no—
1414SD16—1182no—
1415SD16—1182no—
1416SD16—2361no—
1417D8—22no—
1418D8—594no—
1419D8—1182no—
1420D8—2361no—
1421M16—1182no—
1422M16—1182no—
1423M16—2361no—
1424M16—2361no—
1425C2×C8—591no—
1426C2×C8—591no—
1427C2×C8—591no—
1428C2×C8—591no—
1429C2×C8—1182no—
1430C2×C8—2361no—
1431C2×C8C23×D5911yescharacteristic
1432C2×C8C23×D5911yescharacteristic
1433C2×C8C23×D5911yescharacteristic
1434C2×C8C23×D5911yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—591no—
1442C4⋊C4—591no—
1443C4⋊C4—591no—
1444C4⋊C4—591no—
1445C4⋊C4—591no—
1446C4⋊C4—591no—
1447C4⋊C4—591no—
1448C4⋊C4—591no—
1449C4⋊C4—591no—
1450C4⋊C4—591no—
1451C4⋊C4—1181no—
1452C4⋊C4—1181no—
1453C4⋊C4—1181no—
1454C4⋊C4—1181no—
1455C4⋊C4—1181no—
1456C4⋊C4—1181no—
1457C4⋊C4—1181no—
1458C4⋊C4—1181no—
1459C4⋊C4—1181no—
1460C4⋊C4—1181no—
1461C4⋊C4—1181no—
1462C4⋊C4—1181no—
1463C4⋊C4—1181no—
1464C4⋊C4—1181no—
1465C4⋊C4—1181no—
1466C4⋊C4—1181no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4—1181no—
1473C4⋊C4—1181no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4C23×D5911yescharacteristic
1478C4⋊C4C23×D5911yescharacteristic
1479C4⋊C4C23×D5911yescharacteristic
1480C4⋊C4C23×D5911yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—591no—
1490C22⋊C4—591no—
1491C22⋊C4—591no—
1492C22⋊C4—591no—
1493C22⋊C4—591no—
1494C22⋊C4—591no—
1495C22⋊C4—1181no—
1496C22⋊C4—1181no—
1497C22⋊C4—1181no—
1498C22⋊C4—1181no—
1499C22⋊C4—1181no—
1500C22⋊C4—1181no—
1501C22⋊C4—1181no—
1502C22⋊C4—1181no—
1503C22⋊C4—1181no—
1504C22⋊C4—1181no—
1505C22⋊C4—1181no—
1506C22⋊C4—1181no—
1507C22⋊C4—1181no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42—591no—
1528C42—591no—
1529C42—591no—
1530C42—591no—
1531C42—591no—
1532C42—591no—
1533C42—1181no—
1534C42—1181no—
1535C42—1181no—
1536C42—1181no—
1537C42—1181no—
1538C42—1181no—
1539C42—1181no—
1540C42—1181no—
1541C42D4×D5911yescharacteristic
1542C42D4×D5911yescharacteristic
1543C42C23×D5911yescharacteristic
1544C42C23×D5911yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—591no—
1548C23—591no—
1549C23—1181no—
1550C23—1181no—
1551C23—4721no—
1552C23—4721no—
1553C23—2362no—
1554C23—2362no—
1555C23—2362no—
1556C23—2362no—
1557C23C2×D4×D5911yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—1181no—
1563Q8—1181no—
1564Q8—1181no—
1565Q8—1181no—
1566Q8—4721no—
1567Q8—4721no—
1568Q8—2361no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—42no—
1573D4—81no—
1574D4—592no—
1575D4—1181no—
1576D4—1181no—
1577D4—1181no—
1578D4—4721no—
1579D4—4721no—
1580D4—4721no—
1581D4—2361no—
1582D4—2362no—
1583D4—2361no—
1584D4—2361no—
1585D4—2362no—
1586D4—2362no—
1587D4—2362no—
1588D4—2362no—
1589D4#41×D5912yes—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—41no—
1600C2×C4—42no—
1601C2×C4—42no—
1602C2×C4—42no—
1603C2×C4—81no—
1604C2×C4—591no—
1605C2×C4—591no—
1606C2×C4—591no—
1607C2×C4—591no—
1608C2×C4—591no—
1609C2×C4—591no—
1610C2×C4—1182no—
1611C2×C4—1182no—
1612C2×C4—1181no—
1613C2×C4—1181no—
1614C2×C4—1181no—
1615C2×C4—1181no—
1616C2×C4—1181no—
1617C2×C4—1181no—
1618C2×C4—1181no—
1619C2×C4—1181no—
1620C2×C4—1181no—
1621C2×C4—1181no—
1622C2×C4—4721no—
1623C2×C4—4721no—
1624C2×C4—4721no—
1625C2×C4—2361no—
1626C2×C4—2361no—
1627C2×C4—2362no—
1628C2×C4—2362no—
1629C2×C4—2362no—
1630C2×C4—2362no—
1631C2×C4—2362no—
1632C2×C4—2362no—
1633C2×C4—2362no—
1634C2×C4—2362no—
1635C2×C4—2362no—
1636C2×C4—2362no—
1637C2×C4—2362no—
1638C2×C4C2×D4×D5911yescharacteristic
1639C2×C4C2×D4×D5911yescharacteristic
1640C2×C4C2×D4×D5911yescharacteristic
1641C2×C4C2×D4×D5911yescharacteristic
1642C2×C4C2×D4×D5911yescharacteristic
1643C2×C4C24×D5911yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—592no—
1649C8—1181no—
1650C8—1181no—
1651C8—1181no—
1652C22—21no—
1653C22—21no—
1654C22—22no—
1655C22—21no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—1181no—
1662C22—1181no—
1663C22—1181no—
1664C22—1181no—
1665C22—1182no—
1666C22—1181no—
1667C22—1181no—
1668C22—4724no—
1669C22—4724no—
1670C22—2361no—
1671C22—2361no—
1672C22—2361no—
1673C22—2361no—
1674C22—2361no—
1675C22C22×D4×D5911yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—1181no—
1687C4—1181no—
1688C4—1181no—
1689C4—1181no—
1690C4—1181no—
1691C4—1181no—
1692C4—2361no—
1693C4—2361no—
1694C4—2361no—
1695C4—2361no—
1696C4—2361no—
1697C4—2361no—
1698C4#1683819912yes—
1699C4C2×#41×D5911yescharacteristic
1700C4#1683823811yescharacteristic
1701C2—41no—
1702C2—42no—
1703C2—81no—
1704C2—4721no—
1705C2—2361no—
1706C2—2361no—
1707C2—2362no—
1708C2#2143757911yescharacteristic
1709C2C2×#1683819911yescharacteristic
1710C2#2143886911yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3102C2
socleC22×C59C23×D4
hypercenter#3102D59
hypocenterC59#61442
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3102

Complements

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

NH ≅ G/Ntype
1. #21437658C2semidirect
2. #21437652C2semidirect
3. #21437175C2semidirect
4. #21437054C2semidirect
5. #21436927C2semidirect
6. #21436921C2semidirect
7. #21436668C2semidirect
8. #21436615C2semidirect
9. #21436609C2semidirect
10. #21436319C2semidirect
11. #21436309C2semidirect
12. #21436256C2semidirect
13. #21436250C2semidirect
14. #21436196C2semidirect
15. #21436190C2semidirect
16. #21435702C2semidirect
17. #21435625C2semidirect
18. #21435614C2semidirect
19. #21434700C2semidirect
20. #21434698C2semidirect
21. #21434660C2semidirect
22. #21434165C2semidirect
23. #21434163C2semidirect
24. #21434147C2semidirect
25. #21434141C2semidirect
26. #21434116C2semidirect
27. #21433057C2semidirect
28. C4×#14273754C2semidirect
29. C4×#14273751C2semidirect
30. C4×#14273747C2semidirect
31. C59×#3102C2semidirect
35. #16838124C22semidirect
36. #16838121C22semidirect
39. #16838111C22semidirect
40. #16838108C22semidirect
44. #16838091C22semidirect
47. #16838086C22semidirect
55. #16838049C22semidirect
58. #16838040C22semidirect
59. #16837956C22semidirect
60. #16837956C22semidirect
63. #16837936C22semidirect
72. C4×#11745685C22semidirect
74. C4×D4×D59C22semidirect
75. C4×D4×D59C22semidirect
78. #16837810C22semidirect
79. #16837809C22semidirect
80. #16837801C22semidirect
81. #16837795C22semidirect
82. #16837793C22semidirect
84. #16837769C22semidirect
85. #16837769C22semidirect
86. #16837763C22semidirect
87. #16837760C22semidirect
88. #16837759C22semidirect
89. #16837756C22semidirect
90. #16837746C22semidirect
91. #16837745C22semidirect
92. #16837744C22semidirect
93. #16837742C22semidirect
94. #16837741C22semidirect
95. #16837739C22semidirect
96. #16837736C22semidirect
97. #16837727C22semidirect
100. #16837710C22semidirect
101. #16837705C22semidirect
102. #16837704C22semidirect
103. #16837703C22semidirect
104. #16837701C22semidirect
105. #16837700C22semidirect
106. #16837686C22semidirect
107. #16837685C22semidirect
108. #16837681C22semidirect
109. #16837680C22semidirect
110. #16837661C22semidirect
111. #16837659C22semidirect
112. #16837659C22semidirect
113. #16837657C22semidirect
118. #16837641C22semidirect
120. #16837633C22semidirect
121. #16837629C22semidirect
122. #16837625C22semidirect
128. #16837611C22semidirect
129. #16837610C22semidirect
130. #16837606C22semidirect
131. #16837605C22semidirect
133. #16837566C22semidirect
137. #16837554C22semidirect
138. #16837551C22semidirect
142. #16837529C22semidirect
143. #16837529C22semidirect
148. #16837505C22semidirect
149. #16837503C22semidirect
150. #16837501C22semidirect
151. #16837499C22semidirect
152. C4×Dic236C22semidirect
153. C4×#11745672C22semidirect
154. C4×#11745672C22semidirect
155. C4×#11745672C22semidirect
156. C4×#11745660C22semidirect
157. C4×#11745660C22semidirect
158. C4×#11745671C22semidirect
159. C4×#11745671C22semidirect
160. C4×#11745671C22semidirect
161. C4×#11745670C22semidirect
162. C4×#11745670C22semidirect
163. C4×#11745670C22semidirect
170. #16837470C22semidirect
171. #16837470C22semidirect
172. #16837470C22semidirect
173. #16837470C22semidirect
174. #16837453C22semidirect
175. #16837453C22semidirect
176. #16837443C22semidirect
177. #16837441C22semidirect
178. #16837438C22semidirect
179. #16837405C22semidirect
180. #16837405C22semidirect
183. #16837398C22semidirect
184. #16837396C22semidirect
185. C4×#11745659C22semidirect
186. C4×#11745659C22semidirect
187. C2×C4×C59⋊C8C22semidirect
188. C59×#529C22semidirect
189. C4×#41×C59C22semidirect
190. C59×#485C22semidirect
191. C59×#482C22semidirect
192. C59×#479C22semidirect
193. C59×#478C22semidirect
194. C59×#464C22semidirect
196. C59×#452C22semidirect
198. C4×Q16×C59C22semidirect
199. C4×SD16×C59C22semidirect
200. C4×SD16×C59C22semidirect
202. C59×#431C22semidirect
600. #11745669#41semidirect
872. #3102D59semidirect
923. #529C2×D59semidirect
930. C4×#41C2×D59semidirect
952. #485C2×D59semidirect
956. #482C2×D59semidirect
960. #479C2×D59semidirect
966. #478C2×D59semidirect
984. #464C2×D59semidirect
1000. #452C2×D59semidirect
1021. C4×Q16C2×D59semidirect
1030. C4×SD16C2×D59semidirect
1031. C4×SD16C2×D59semidirect
1045. #431C2×D59semidirect
1058. C59#61442semidirect

Maximal subgroups

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

subgroupindex
#214376582
#214376522
#214371752
#214370542
#214369272
#214369212
#214366682
#214366152
#214366092
#214363192
#214363092
#214362562
#214362502
#214361962
#214361902
#214357022
#214356252
#214356142
#214347002
#214346982
#214346602
#214341652
#214341632
#214341472
#214341412
#214341162
#214330572
C4×#142737542
C4×#142737512
C4×#142737472
C59×#31022
#6144259