Finite Group Databasebeta

← #29470682

Subgroups — #29470682

Order 15104.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437703C211yesmaximal, characteristic, complemented
2#21437647C211yesmaximal, characteristic, complemented
3#21437160C211yesmaximal, characteristic, complemented
4#21437054C211yesmaximal, characteristic, complemented
5#21436929C211yesmaximal, characteristic, complemented
6#21436845C211yesmaximal, characteristic, complemented
7#21436594C211yesmaximal, characteristic, complemented
8#21436549C211yesmaximal, characteristic, complemented
9#21436469C211yesmaximal, characteristic, complemented
10#21436258C211yesmaximal, characteristic, complemented
11#21436173C211yesmaximal, characteristic, complemented
12#21436123C211yesmaximal, characteristic, complemented
13#21436068C211yesmaximal, characteristic, complemented
14#21435933C211yesmaximal, characteristic, complemented
15#21435777C211yesmaximal, characteristic, complemented
16#21435614C211yesmaximal, characteristic, complemented
17#21435569C211yesmaximal, characteristic, complemented
18#21434824C211yesmaximal, characteristic, complemented
19#21434798C211yesmaximal, characteristic, complemented
20#21434789C211yesmaximal, characteristic, complemented
21#21434240C211yesmaximal, characteristic, complemented
22#21434233C211yesmaximal, characteristic, complemented
23#21434229C211yesmaximal, characteristic, complemented
24#21434210C211yesmaximal, characteristic, complemented
25#21434200C211yesmaximal, characteristic, complemented
26#21434192C211yesmaximal, characteristic, complemented
27#21433104C211yesmaximal, characteristic, complemented
28C4×#14273751C211yesmaximal, characteristic, complemented
29#21432892C211yesmaximal, characteristic, complemented
30C2×#16837511C211yesmaximal, characteristic, complemented
31C59×#3297C211yesmaximal, characteristic, complemented
32C2×#14273751C2211yescharacteristic
33C2×#14273747C2211yescharacteristic
34C22×#11745669C2211yescharacteristic
35#16838135C2211yescharacteristic, complemented
36#16838121C2211yescharacteristic, complemented
37#16838116C2211yescharacteristic, complemented
38#16838111C2211yescharacteristic, complemented
39#16838108C2211yescharacteristic, complemented
40#16838107C2211yescharacteristic
41#16838097—21no—
42#16838096C2211yescharacteristic, complemented
43#16838095—21no—
44#16838094C2211yescharacteristic
45#16838092C2211yescharacteristic, complemented
46#16838089—21no—
47#16838083—21no—
48#16838081—21no—
49#16838078—21no—
50#16838077—21no—
51#16838051C2211yescharacteristic, complemented
52#16838049C2211yescharacteristic, complemented
53#16838048C2211yescharacteristic
54#16838046C2211yescharacteristic
55#16838041—21no—
56#16838036C2211yescharacteristic
57#16837954C2211yescharacteristic, complemented
58#16837947C2211yescharacteristic, complemented
59#16837937C2211yescharacteristic, complemented
60#16837935—21no—
61#16837933—21no—
62#16837933C2211yescharacteristic
63#16837933C2211yescharacteristic, complemented
64#16837931C2211yescharacteristic, complemented
65#16837929—21no—
66#16837912—21no—
67#16837910—21no—
68#16837908—21no—
69#41×Dic59C2211yescharacteristic, complemented
70#16837870C2211yescharacteristic, complemented
71C4×#11745687C2211yescharacteristic
72C4×#11745687C2211yescharacteristic, complemented
73C2×D4×Dic59C2211yescharacteristic, complemented
74C2×#14273689C2211yescharacteristic
75C4×D4×D59—21no—
76C4×D4×D59C2211yescharacteristic, complemented
77C2×#14273683—21no—
78#16837810C2211yescharacteristic, complemented
79#16837809C2211yescharacteristic, complemented
80#16837801C2211yescharacteristic, complemented
81#16837793C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic
83#16837784C2211yescharacteristic, complemented
84#16837769C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837757C2211yescharacteristic, complemented
89#16837745C2211yescharacteristic, complemented
90#16837743C2211yescharacteristic, complemented
91#16837737C2211yescharacteristic, complemented
92#16837733C2211yescharacteristic, complemented
93#16837731C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic, complemented
95#16837727C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837714C2211yescharacteristic, complemented
98#16837713C2211yescharacteristic
99#16837708C2211yescharacteristic, complemented
100#16837706C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837704C2211yescharacteristic, complemented
103#16837703C2211yescharacteristic, complemented
104#16837702C2211yescharacteristic, complemented
105#16837701C2211yescharacteristic, complemented
106#16837685C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic, complemented
108#16837681C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837659C2211yescharacteristic, complemented
111#16837654C2211yescharacteristic
112#16837651C2211yescharacteristic, complemented
113#16837647C2211yescharacteristic, complemented
114#16837643C2211yescharacteristic, complemented
115#16837641C2211yescharacteristic, complemented
116#16837636C2211yescharacteristic, complemented
117#16837631C2211yescharacteristic, complemented
118#16837629C2211yescharacteristic
119#16837629C2211yescharacteristic, complemented
120#16837625C2211yescharacteristic, complemented
121#16837623C2211yescharacteristic, complemented
122#16837617C2211yescharacteristic, complemented
123#16837616C2211yescharacteristic
124#16837615C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837614C2211yescharacteristic
127#16837606C2211yescharacteristic, complemented
128#16837606C2211yescharacteristic, complemented
129#16837600C2211yescharacteristic, complemented
130#16837595C2211yescharacteristic
131#16837566C2211yescharacteristic, complemented
132#16837565C2211yescharacteristic, complemented
133#16837555C2211yescharacteristic
134#16837553C2211yescharacteristic, complemented
135#16837552C2211yescharacteristic
136#16837551C2211yescharacteristic, complemented
137#16837548C2211yescharacteristic
138#16837547C2211yescharacteristic, complemented
139#16837545C2211yescharacteristic
140#16837534C2211yescharacteristic
141#16837532C2211yescharacteristic, complemented
142#16837529C2211yescharacteristic, complemented
143#16837514C2211yescharacteristic, complemented
144#16837514C2211yescharacteristic, complemented
145#16837511C2211yescharacteristic
146#16837511C2211yescharacteristic
147#16837511C2211yescharacteristic
148#16837511C2211yescharacteristic
149#16837511C2211yescharacteristic
150#16837511C2211yescharacteristic, complemented
151#16837511C2211yescharacteristic, complemented
152#16837511C2211yescharacteristic, complemented
153#16837511C2211yescharacteristic, complemented
154#16837508C2211yescharacteristic, complemented
155#16837506C2211yescharacteristic, complemented
156#16837506C2211yescharacteristic, complemented
157#16837505C2211yescharacteristic, complemented
158#16837505C2211yescharacteristic, complemented
159#16837505C2211yescharacteristic, complemented
160#16837503C2211yescharacteristic, complemented
161#16837501C2211yescharacteristic, complemented
162#16837501C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic, complemented
164#16837499C2211yescharacteristic, complemented
165#16837499C2211yescharacteristic, complemented
166#16837499C2211yescharacteristic, complemented
167C4×#11745660C2211yescharacteristic, complemented
168C4×#11745670C2211yescharacteristic, complemented
169C4×#11745669C2211yescharacteristic
170#16837473C2211yescharacteristic
171#16837473C2211yescharacteristic, complemented
172#16837470C2211yescharacteristic
173#16837470C2211yescharacteristic, complemented
174D4×C59⋊C8C2211yescharacteristic, complemented
175#16837458C2211yescharacteristic, complemented
176#16837456C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837443C2211yescharacteristic, complemented
179#16837438C2211yescharacteristic, complemented
180C2×#14273658C2211yescharacteristic, complemented
181#16837405C2211yescharacteristic, complemented
182#16837400C2211yescharacteristic, complemented
183#16837399C2211yescharacteristic, complemented
184C2×#14273649C2211yescharacteristic
185C4×#11745659C2211yescharacteristic, complemented
186C2×#14273637C2211yescharacteristic, complemented
187C2×#14273637C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic
189C59×#546C2211yescharacteristic, complemented
190C59×#488C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic
199C4×D8×C59C2211yescharacteristic, complemented
200C8×D4×C59C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745687—21no—
205C2×#11745687D411yescharacteristic
206C2×#11745687C2311yescharacteristic
207C22×D236C2311yescharacteristic
208C2×D4×D59—21no—
209C2×D4×D59C2311yescharacteristic
210C23×Dic59—21no—
211C22×C4×D59—21no—
212C22×C4×D59—21no—
213#14273751—24no—
214#14273747—24no—
215C2×Dic236C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745669—24no—
225C2×#11745669C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745659C2311yescharacteristic
230C2×#11745659C2311yescharacteristic
231C22×C59⋊C8C2311yescharacteristic
232C22×C59⋊C8C2311yescharacteristic
233#14273726C2311yescharacteristic
234#14273726C2311yescharacteristic
235#14273725C2311yescharacteristic
236#14273723C2311yescharacteristic
237#14273722—21no—
238#14273722—21no—
239#14273721—21no—
240#14273720—21no—
241#14273720—21no—
242#14273720—21no—
243#14273720—21no—
244#14273720—21no—
245#14273720—21no—
246#14273719C2311yescharacteristic
247#14273718—21no—
248#14273718C2311yescharacteristic
249#14273718C2311yescharacteristic
250#14273717—21no—
251#14273717—21no—
252#14273717—21no—
253#14273715C2311yescharacteristic
254#14273714—21no—
255#14273714C2311yescharacteristic
256#14273714C2311yescharacteristic
257#14273713—21no—
258#14273713—21no—
259#14273713—21no—
260#14273712—21no—
261#14273712—21no—
262#14273711—21no—
263#14273710—21no—
264#14273710—21no—
265#14273709—21no—
266#14273709—21no—
267#14273709—21no—
268#14273709—21no—
269#14273708—21no—
270#14273708—21no—
271#14273708—21no—
272#14273708—21no—
273#14273708—21no—
274#14273707—21no—
275#14273707C2311yescharacteristic
276#14273706—21no—
277#14273706—21no—
278#14273706C2311yescharacteristic
279#14273706C2311yescharacteristic
280#14273706C2311yescharacteristic
281#14273705—21no—
282#14273705—21no—
283#14273705—21no—
284#14273704—21no—
285#14273704—21no—
286#14273704—21no—
287#14273704—21no—
288#14273703C2311yescharacteristic
289#14273702C2311yescharacteristic
290#14273701C2311yescharacteristic
291#14273700—21no—
292#14273700—21no—
293#14273700—21no—
294#14273699—21no—
295#14273699—21no—
296#14273699—21no—
297#14273699—21no—
298#14273698—21no—
299#14273698C2311yescharacteristic
300#14273697—21no—
301#14273696—21no—
302#14273695—21no—
303#14273695—21no—
304#14273695—21no—
305Q8×Dic59C2311yescharacteristic
306Q8×Dic59C2311yescharacteristic
307C4×Dic118C2311yescharacteristic
308C4×Dic118C2311yescharacteristic
309#14273692—21no—
310#14273692D411yescharacteristic
311#14273692C2311yescharacteristic
312#14273692C2311yescharacteristic
313#14273692C2311yescharacteristic
314C4×D236—21no—
315C4×D236C2311yescharacteristic
316D4×Dic59—21no—
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
337C4×C22⋊D59—21no—
338C4×C22⋊D59—21no—
339C4×C22⋊D59—21no—
340C4×C22⋊D59—21no—
341C4×C22⋊D59C2311yescharacteristic
342C4×C22⋊D59C2311yescharacteristic
343(C22⋊D59)⋊C4—21no—
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)⋊C4D411yescharacteristic
350(C22⋊D59)⋊C4D411yescharacteristic
351#14273686—21no—
352#14273686C2311yescharacteristic
353#14273685—21no—
354#14273685D411yescharacteristic
355#14273685C2311yescharacteristic
356#14273684—21no—
357#14273683—21no—
358#14273683—21no—
359#14273683—21no—
360#14273683—21no—
361#14273683—21no—
362#14273683—21no—
363#14273683—21no—
364#14273683—21no—
365#14273683—21no—
366#14273683D411yescharacteristic
367#14273683D411yescharacteristic
368C2×C4⋊Dic59C2311yescharacteristic
369C2×Dic59⋊C4—21no—
370C2×Dic59⋊C4—21no—
371C4⋊C4×D59—21no—
372C4⋊C4×D59C2311yescharacteristic
373C2×C22⋊Dic59—21no—
374C2×C22⋊Dic59—21no—
375C2×(C2×D59)⋊C4—21no—
376C22⋊C4×D59—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C2×C4×Dic59—21no—
380C2×C4×Dic59—21no—
381C2×C4×Dic59C2311yescharacteristic
382C2×C4×Dic59C2311yescharacteristic
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385#14273661C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273658C2311yescharacteristic
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#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
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
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C2×#41×C59C2311yescharacteristic
439C22×D4×C59C2311yescharacteristic
440C2×SD16×C59C2311yescharacteristic
441C2×D8×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443C22×C8×C59C2311yescharacteristic
444C22×C8×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—
484#41×C59—22no—
485#41×C59—41no—
486C2×Q8×C59C2411yescharacteristic
487C2×D4×C59—22no—
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—41no—
494C2×D4×C59C2×D411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C2×D4×C59C2411yescharacteristic
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59C2411yescharacteristic
503C22×C4×C59C2411yescharacteristic
504C2×C22⋊D59—21no—
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⋊D59C2×D411yescharacteristic
512C2×C22⋊D59C2×D411yescharacteristic
513C22×Dic59—21no—
514C22×Dic59—21no—
515C22×Dic59—21no—
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—44no—
522C22×Dic59C2×D411yescharacteristic
523C22×Dic59C2×D411yescharacteristic
524C22×Dic59C2×D411yescharacteristic
525C22×Dic59C2×D411yescharacteristic
526#11745687—22no—
527#11745687—41no—
528#11745687—42no—
529#11745687—82no—
530D4×D59—22no—
531D4×D59—41no—
532D4×D59—44no—
533#11745685—22no—
534#11745685—41no—
535C2×D236—22no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—41no—
539C2×D236C2411yescharacteristic
540C2×D236C2411yescharacteristic
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—82no—
550C2×C4×D59—82no—
551C2×C4×D59C2×D411yescharacteristic
552C2×C4×D59C2×D411yescharacteristic
553C2×C4×D59C2411yescharacteristic
554C2×Dic118—21no—
555C2×Dic118—21no—
556C2×Dic118C2×D411yescharacteristic
557C2×Dic118C2411yescharacteristic
558C2×Dic118C2411yescharacteristic
559SD16×C59—41no—
560D8×C59—22no—
561D8×C59—41no—
562C2×C8×C59—41no—
563C2×C8×C59—41no—
564C2×C8×C59C2411yescharacteristic
565C2×C8×C59C2411yescharacteristic
566C2×C8×C59C2411yescharacteristic
567C2×C8×C59C2411yescharacteristic
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59C2×D411yescharacteristic
573C4⋊C4×C59C2411yescharacteristic
574C4⋊C4×C59C2411yescharacteristic
575C4⋊C4×C59C2411yescharacteristic
576C4⋊C4×C59C2411yescharacteristic
577C22⋊C4×C59—21no—
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59C2×D411yescharacteristic
587C22⋊C4×C59C2×D411yescharacteristic
588C42×C59—21no—
589C42×C59C2411yescharacteristic
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59C2×D411yescharacteristic
606C22⋊Dic59C2×D411yescharacteristic
607#11745672—22no—
608#11745671—22no—
609#11745671—41no—
610#11745670—22no—
611#11745670—22no—
612#11745670—41no—
613#11745669—22no—
614#11745669—22no—
615#11745669—22no—
616#11745669#4114yescomplemented
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
631(C2×D59)⋊C4C2×D411yescharacteristic
632C4⋊Dic59—21no—
633C4⋊Dic59—21no—
634C4⋊Dic59—21no—
635C4⋊Dic59—21no—
636C4⋊Dic59—21no—
637C4⋊Dic59—21no—
638C4⋊Dic59C2×D411yescharacteristic
639C4⋊Dic59C2411yescharacteristic
640C4⋊Dic59C2411yescharacteristic
641C4⋊Dic59C2411yescharacteristic
642C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4C2×D411yescharacteristic
661Dic59⋊C4C2×D411yescharacteristic
662Dic59⋊C4C2×D411yescharacteristic
663Dic59⋊C4C2×D411yescharacteristic
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59C2×D411yescharacteristic
673C4×Dic59C2×D411yescharacteristic
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2411yescharacteristic
679C4×Dic59C2411yescharacteristic
680C4×Dic59C2411yescharacteristic
681C2×C59⋊C8—22no—
682C2×C59⋊C8—22no—
683C2×C59⋊C8C2411yescharacteristic
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687Dic236—41no—
688#11745660—22no—
689#11745660—41no—
690#11745659—22no—
691#11745659—41no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—21no—
695C23×C59—42no—
696C23×C59—42no—
697C23×C59—81no—
698C23×C59C22×D411yescharacteristic
699C23×C59C22×D411yescharacteristic
700C22×D59—21no—
701C22×D59—21no—
702C22×D59—42no—
703C22×D59—42no—
704C22×D59—42no—
705C22×D59—42no—
706C22×D59—81no—
707C22×D59—81no—
708C22×D59C22×D411yescharacteristic
709Q8×C59—21no—
710Q8×C59—21no—
711D4×C59—22no—
712D4×C59—21no—
713D4×C59—21no—
714D4×C59—21no—
715D4×C59—21no—
716D4×C59—21no—
717D4×C59—42no—
718D4×C59—42no—
719D4×C59—42no—
720D4×C59—81no—
721D4×C59—81no—
722D4×C59C2×#4112yes—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—42no—
733C2×C4×C59—81no—
734C2×C4×C59—81no—
735C2×C4×C59—81no—
736C2×C4×C59C22×D411yescharacteristic
737C2×C4×C59C22×D411yescharacteristic
738C2×C4×C59C22×D411yescharacteristic
739C2×C4×C59C22×D411yescharacteristic
740C2×C4×C59C2511yescharacteristic
741C22⋊D59—22no—
742C22⋊D59—41no—
743C22⋊D59—42no—
744C22⋊D59—42no—
745C22⋊D59—42no—
746C22⋊D59—42no—
747C22⋊D59—81no—
748C22⋊D59—81no—
749C22⋊D59—81no—
750C2×Dic59—22no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—41no—
758C2×Dic59—41no—
759C2×Dic59—41no—
760C2×Dic59—42no—
761C2×Dic59—42no—
762C2×Dic59—42no—
763C2×Dic59—42no—
764C2×Dic59—42no—
765C2×Dic59—42no—
766C2×Dic59—42no—
767C2×Dic59—81no—
768C2×Dic59C22×D411yescharacteristic
769C2×Dic59C22×D411yescharacteristic
770C2×Dic59C22×D411yescharacteristic
771C2×Dic59C22×D411yescharacteristic
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775D236—21no—
776D236—21no—
777D236—21no—
778D236—42no—
779D236—42no—
780D236C2×#4112yes—
781C4×D59—21no—
782C4×D59—21no—
783C4×D59—41no—
784C4×D59—41no—
785C4×D59—42no—
786C4×D59—42no—
787C4×D59—42no—
788C4×D59—42no—
789C4×D59—81no—
790C4×D59—81no—
791C4×D59—81no—
792C4×D59—81no—
793Dic118—21no—
794Dic118—21no—
795Dic118—21no—
796Dic118—21no—
797Dic118—41no—
798Dic118—81no—
799Dic118—81no—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59—21no—
804C59⋊C8—21no—
805C59⋊C8—21no—
806C59⋊C8—21no—
807C59⋊C8C2×#4112yes—
808#61454—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—22no—
813C22×C59—21no—
814C22×C59—21no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—84no—
824C22×C59#57512yes—
825C22×C59C23×D411yescharacteristic
826C2×D59—21no—
827C2×D59—21no—
828C2×D59—22no—
829C2×D59—21no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—84no—
836C2×D59—84no—
837C4×C59—21no—
838C4×C59—21no—
839C4×C59—21no—
840C4×C59—21no—
841C4×C59—41no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59—41no—
846C4×C59C22×#4111yescharacteristic
847C4×C59#58511yescharacteristic
848Dic59—21no—
849Dic59—21no—
850Dic59—21no—
851Dic59—21no—
852Dic59—21no—
853Dic59—21no—
854Dic59—21no—
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860Dic59—41no—
861#3481—591no—
862#3475—591no—
863#3401—591no—
864#3389—591no—
865#3376—591no—
866#3370—591no—
867#3347—591no—
868#3344—591no—
869#3337—591no—
870#3319—591no—
871#3314—591no—
872#3310—591no—
873#3307—591no—
874#3297D5911yescharacteristic, complemented
875#3296—591no—
876#3280—591no—
877#3267—591no—
878#3264—591no—
879#3183—591no—
880#3181—591no—
881#3180—591no—
882#3115—591no—
883#3114—591no—
884#3114—591no—
885#3111—591no—
886#3111—591no—
887#3110—591no—
888#2970—591no—
889C4×AGL(1,ℤ/8)—591no—
890#2943—591no—
891C2×#442—591no—
892C2×C59—22no—
893C2×C59—41no—
894C2×C59—42no—
895C2×C59—81no—
896C2×C59—81no—
897C2×C59D4×#4111yescharacteristic
898C2×C59C2×#57511yescharacteristic
899C2×C59#358511yescharacteristic
900D59—41no—
901D59—42no—
902D59—81no—
903C2×AGL(1,ℤ/8)—591no—
904C2×#135—591no—
905C22×D8—591no—
906#559—591no—
907#556—591no—
908#555—591no—
909#554—591no—
910#554—591no—
911#554—591no—
912#553—591no—
913#553—1181no—
914#553—1181no—
915#553C2×D5911yescharacteristic
916#552—591no—
917#552—591no—
918#552—1181no—
919#551—1181no—
920#551—1181no—
921#551—1181no—
922#551—1181no—
923#547—591no—
924#546—591no—
925#546—591no—
926#546—591no—
927#546—1181no—
928#546C2×D5911yescharacteristic, complemented
929D42—591no—
930#533—591no—
931#532—591no—
932#529—591no—
933#529—591no—
934#529—591no—
935#529—591no—
936#529—1181no—
937#529—1181no—
938#529—1181no—
939#525—1181no—
940#525—1181no—
941#525—1181no—
942C4×#41—591no—
943C4×#41—591no—
944C4×#41—591no—
945C4×#41—591no—
946C2×C4×D4—591no—
947C2×C4×D4—591no—
948C2×C4×D4—591no—
949C2×C4×D4—1181no—
950C2×#117—1181no—
951#501—591no—
952#501—591no—
953#499—591no—
954#497—591no—
955#496—591no—
956#495—591no—
957#491—591no—
958#490—591no—
959#489—591no—
960#489—591no—
961#488—591no—
962#488C2×D5911yescharacteristic, complemented
963#485—591no—
964#485—591no—
965#484—591no—
966#484C2×D5911yescharacteristic, complemented
967#483—591no—
968#483—591no—
969#482—591no—
970#482—591no—
971#482—591no—
972#482C2×D5911yescharacteristic, complemented
973#480—591no—
974#480—591no—
975#479—591no—
976#479—591no—
977#478—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#478C2×D5911yescharacteristic, complemented
983#475—591no—
984#474—591no—
985#474—591no—
986#474—591no—
987#470—591no—
988#469—591no—
989#468—591no—
990#468—591no—
991#467—591no—
992#467—591no—
993#466—591no—
994#466C2×D5911yescharacteristic, complemented
995#465—591no—
996#465—591no—
997#465—591no—
998#465C2×D5911yescharacteristic
999#464—591no—
1000#464—591no—
1001#463—591no—
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463—591no—
1006#463C2×D5911yescharacteristic, complemented
1007#461—591no—
1008#461—591no—
1009#460—591no—
1010#459—591no—
1011#452—591no—
1012#452—591no—
1013#450—591no—
1014#450—591no—
1015#450—591no—
1016#450—591no—
1017#449—591no—
1018#449—591no—
1019#449—591no—
1020#449C2×D5911yescharacteristic, complemented
1021#447—591no—
1022#447C2×D5911yescharacteristic
1023#446—591no—
1024#446—591no—
1025#442—591no—
1026#442—591no—
1027#442—591no—
1028#442—591no—
1029#442—591no—
1030#442—591no—
1031#442—591no—
1032#442—591no—
1033#442—591no—
1034#442—591no—
1035#442—591no—
1036#441—591no—
1037#441—591no—
1038#441—591no—
1039#440—591no—
1040#440—591no—
1041#440—591no—
1042#440—591no—
1043#440—591no—
1044#440—591no—
1045#440—591no—
1046#440—591no—
1047#440—591no—
1048#440—591no—
1049C4×SD16—591no—
1050C4×SD16—591no—
1051C4×D8—591no—
1052C4×D8C2×D5911yescharacteristic, complemented
1053#435—591no—
1054#435—591no—
1055#435—591no—
1056#435—591no—
1057C8×D4—591no—
1058C8×D4C2×D5911yescharacteristic, complemented
1059#432—591no—
1060#432—591no—
1061#432—591no—
1062#428—591no—
1063#427—591no—
1064C2×#106—591no—
1065#418—591no—
1066#417—591no—
1067#416—591no—
1068#416C2×D5911yescharacteristic, complemented
1069C2×#102—591no—
1070C2×#102C2×D5911yescharacteristic, complemented
1071C4×M16—591no—
1072C2×#97—591no—
1073C2×#97—591no—
1074C59#6145411yescharacteristic, complemented, Sylow
1075C2×#41—591no—
1076C2×#41—591no—
1077C2×#41—591no—
1078C2×#41—1181no—
1079C2×#41C22×D5911yescharacteristic
1080C22×D4—591no—
1081C22×D4—591no—
1082C22×D4—1181no—
1083C22×D4C22×D5911yescharacteristic
1084C23×C4—1181no—
1085C23×C4—1181no—
1086C23×C4—1181no—
1087AGL(1,ℤ/8)—1184no—
1088#135—1184no—
1089C2×Q16—591no—
1090C2×Q16—591no—
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—591no—
1097C2×SD16—591no—
1098C2×SD16C22×D5911yescharacteristic
1099C2×D8—591no—
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8—591no—
1103C2×D8—1184no—
1104C2×D8C22×D5911yescharacteristic
1105C2×D8C22×D5911yescharacteristic
1106C2×M16—591no—
1107C2×M16—591no—
1108C22×C8—591no—
1109C22×C8—591no—
1110C22×C8C22×D5911yescharacteristic
1111C22×C8C22×D5911yescharacteristic
1112C4⋊Q8—591no—
1113C4⋊Q8—591no—
1114C4⋊Q8—591no—
1115#127—591no—
1116#126—21no—
1117#126—1181no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#126—1181no—
1122#126—1181no—
1123#126—1181no—
1124#126—1181no—
1125#126—1181no—
1126#125—591no—
1127#125—591no—
1128#125—591no—
1129#125—1181no—
1130#125—1181no—
1131#125—1181no—
1132#125—1181no—
1133#125C22×D5911yescharacteristic
1134#124—591no—
1135#124—591no—
1136#124—591no—
1137#124—1181no—
1138#124—1181no—
1139#124—1181no—
1140#124—1181no—
1141#124C22×D5911yescharacteristic
1142#123—21no—
1143#123—21no—
1144#123—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151#123—1181no—
1152#123—1181no—
1153#123—1181no—
1154#123—1181no—
1155#123—1181no—
1156#123—1181no—
1157#123—1181no—
1158C22⋊Q8—591no—
1159C22⋊Q8—591no—
1160C22⋊Q8—591no—
1161C22⋊Q8—591no—
1162C22⋊Q8—591no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169C22⋊Q8—1181no—
1170C22⋊Q8—1181no—
1171C22⋊Q8—1181no—
1172C22⋊Q8—1181no—
1173C22⋊Q8C22×D5911yescharacteristic
1174#121—21no—
1175#121—21no—
1176#121—591no—
1177#121—591no—
1178#121—591no—
1179#121—1181no—
1180#121—1181no—
1181#121—1181no—
1182#121—1181no—
1183#121—1181no—
1184#121—1181no—
1185#121—1181no—
1186#121—1181no—
1187#121C22×D5911yescharacteristic
1188#121C22×D5911yescharacteristic
1189#121C22×D5911yescharacteristic
1190#120—21no—
1191#120—1181no—
1192#120—1181no—
1193#120—1181no—
1194#120—1181no—
1195#120—1181no—
1196C4×Q8—591no—
1197C4×Q8—591no—
1198C4×Q8—591no—
1199C4×Q8—591no—
1200C4×Q8—591no—
1201C4×Q8—591no—
1202C4×Q8—591no—
1203C4×Q8—591no—
1204C4×Q8—1181no—
1205C4×D4—21no—
1206C4×D4—591no—
1207C4×D4—591no—
1208C4×D4—591no—
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—591no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—591no—
1221C4×D4—591no—
1222C4×D4—591no—
1223C4×D4—1181no—
1224C4×D4—1181no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4C22×D5911yescharacteristic
1244C4×D4C22×D5911yescharacteristic
1245C4×D4C22×D5911yescharacteristic
1246#117—591no—
1247#117—591no—
1248#117—591no—
1249#117—591no—
1250#117—591no—
1251#117—1181no—
1252#117—1181no—
1253#117—1181no—
1254#117—1181no—
1255#117—1181no—
1256#117—1181no—
1257#117—1181no—
1258#117—1181no—
1259#117—1181no—
1260#117—1181no—
1261#117—1181no—
1262#117—1181no—
1263#117C22×D5911yescharacteristic
1264C2×C4⋊C4—591no—
1265C2×C4⋊C4—591no—
1266C2×C4⋊C4—1181no—
1267C2×C4⋊C4—1181no—
1268C2×C4⋊C4—1181no—
1269C2×C4⋊C4C22×D5911yescharacteristic
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—1181no—
1272C2×C22⋊C4—1181no—
1273C2×C22⋊C4—1181no—
1274C2×C22⋊C4—1181no—
1275C2×C22⋊C4—1181no—
1276C2×C22⋊C4—1181no—
1277C2×C42—591no—
1278C2×C42—591no—
1279C2×C42—591no—
1280C2×C42—1181no—
1281C2×C42—1181no—
1282C2×C42—1181no—
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#107—591no—
1289#107C22×D5911yescharacteristic
1290#107C22×D5911yescharacteristic
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106—591no—
1296#106—591no—
1297#106—591no—
1298#106C22×D5911yescharacteristic
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8—591no—
1303C4⋊C8—591no—
1304C4⋊C8C22×D5911yescharacteristic
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#103—591no—
1313#103—591no—
1314#103C22×D5911yescharacteristic
1315#103C22×D5911yescharacteristic
1316#103C22×D5911yescharacteristic
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328#102—591no—
1329#102—591no—
1330#102C22×D5911yescharacteristic
1331#102C22×D5911yescharacteristic
1332#102C22×D5911yescharacteristic
1333#102C22×D5911yescharacteristic
1334#102C22×D5911yescharacteristic
1335#102C22×D5911yescharacteristic
1336#102C22×D5911yescharacteristic
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8—591no—
1341C22⋊C8C22×D5911yescharacteristic
1342C22⋊C8C22×D5911yescharacteristic
1343#97—591no—
1344#97—591no—
1345#97—591no—
1346#97—591no—
1347#97—591no—
1348#97—591no—
1349#97—591no—
1350#97—591no—
1351C4×C8—591no—
1352C4×C8C22×D5911yescharacteristic
1353C24—21no—
1354C24—1181no—
1355C24—1181no—
1356#41—22no—
1357#41—41no—
1358#41—1182no—
1359#41—1182no—
1360#41—4722no—
1361#41—2361no—
1362#41—2362no—
1363#41—2361no—
1364C2×Q8—591no—
1365C2×Q8—591no—
1366C2×Q8—591no—
1367C2×Q8—1181no—
1368C2×Q8—1181no—
1369C2×Q8C23×D5911yescharacteristic
1370C2×D4—22no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—41no—
1377C2×D4—591no—
1378C2×D4—591no—
1379C2×D4—591no—
1380C2×D4—591no—
1381C2×D4—1182no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—1181no—
1386C2×D4—1182no—
1387C2×D4—1181no—
1388C2×D4—1181no—
1389C2×D4—1181no—
1390C2×D4—1181no—
1391C2×D4—1181no—
1392C2×D4—2361no—
1393C2×D4—2361no—
1394C2×D4—2364no—
1395C2×D4D4×D5911yescharacteristic
1396C2×D4C23×D5911yescharacteristic
1397C2×D4C23×D5911yescharacteristic
1398C2×D4C23×D5911yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—591no—
1410C22×C4—1181no—
1411C22×C4—1181no—
1412C22×C4—1181no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—1181no—
1416C22×C4—1181no—
1417C22×C4—1181no—
1418C22×C4—1181no—
1419C22×C4—1181no—
1420C22×C4—1181no—
1421C22×C4—1181no—
1422C22×C4—1181no—
1423C22×C4—1181no—
1424C22×C4—1181no—
1425C22×C4—1181no—
1426C22×C4—4722no—
1427C22×C4—4722no—
1428C22×C4—2364no—
1429C22×C4C23×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431Q16—1182no—
1432Q16—2361no—
1433SD16—41no—
1434SD16—1182no—
1435SD16—1182no—
1436SD16—1182no—
1437SD16—1182no—
1438SD16—2361no—
1439SD16—2361no—
1440SD16—2361no—
1441D8—22no—
1442D8—41no—
1443D8—594no—
1444D8—1182no—
1445D8—1182no—
1446D8—1182no—
1447M16—1182no—
1448M16—2361no—
1449C2×C8—41no—
1450C2×C8—41no—
1451C2×C8—591no—
1452C2×C8—591no—
1453C2×C8—591no—
1454C2×C8—591no—
1455C2×C8—1182no—
1456C2×C8—1182no—
1457C2×C8C23×D5911yescharacteristic
1458C2×C8C23×D5911yescharacteristic
1459C2×C8C23×D5911yescharacteristic
1460C2×C8C23×D5911yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—591no—
1466C4⋊C4—591no—
1467C4⋊C4—591no—
1468C4⋊C4—591no—
1469C4⋊C4—591no—
1470C4⋊C4—591no—
1471C4⋊C4—591no—
1472C4⋊C4—591no—
1473C4⋊C4—591no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4—1181no—
1496C4⋊C4—1181no—
1497C4⋊C4D4×D5911yescharacteristic
1498C4⋊C4C23×D5911yescharacteristic
1499C4⋊C4C23×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C4⋊C4C23×D5911yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—591no—
1512C22⋊C4—591no—
1513C22⋊C4—591no—
1514C22⋊C4—591no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
1543C22⋊C4D4×D5911yescharacteristic
1544C22⋊C4D4×D5911yescharacteristic
1545C42—21no—
1546C42—591no—
1547C42—591no—
1548C42—591no—
1549C42—591no—
1550C42—591no—
1551C42—591no—
1552C42—591no—
1553C42—591no—
1554C42—591no—
1555C42—1181no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42—1181no—
1560C42—1181no—
1561C42—1181no—
1562C42—1181no—
1563C42C23×D5911yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—42no—
1568C23—42no—
1569C23—81no—
1570C23—591no—
1571C23—1181no—
1572C23—1181no—
1573C23—4721no—
1574C23—4721no—
1575C23—2362no—
1576C23—2362no—
1577C23—2362no—
1578C23—2362no—
1579C23C2×D4×D5911yescharacteristic
1580C23C2×D4×D5911yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—1181no—
1584Q8—1181no—
1585Q8—1181no—
1586Q8—1181no—
1587Q8—4721no—
1588Q8—4721no—
1589Q8—2361no—
1590D4—22no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—42no—
1597D4—42no—
1598D4—42no—
1599D4—81no—
1600D4—81no—
1601D4—592no—
1602D4—1182no—
1603D4—1181no—
1604D4—1181no—
1605D4—1181no—
1606D4—4721no—
1607D4—4721no—
1608D4—4721no—
1609D4—2362no—
1610D4—2362no—
1611D4—2361no—
1612D4—2362no—
1613D4—2362no—
1614D4—2362no—
1615D4—2362no—
1616D4#41×D5912yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—42no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—591no—
1631C2×C4—591no—
1632C2×C4—591no—
1633C2×C4—591no—
1634C2×C4—591no—
1635C2×C4—591no—
1636C2×C4—591no—
1637C2×C4—1182no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—4721no—
1647C2×C4—4721no—
1648C2×C4—4721no—
1649C2×C4—4721no—
1650C2×C4—4721no—
1651C2×C4—2361no—
1652C2×C4—2361no—
1653C2×C4—2362no—
1654C2×C4—2362no—
1655C2×C4—2362no—
1656C2×C4—2362no—
1657C2×C4—2361no—
1658C2×C4—2361no—
1659C2×C4—2361no—
1660C2×C4—2362no—
1661C2×C4—2362no—
1662C2×C4—2362no—
1663C2×C4—2362no—
1664C2×C4—2362no—
1665C2×C4—2362no—
1666C2×C4—2362no—
1667C2×C4C2×D4×D5911yescharacteristic
1668C2×C4C2×D4×D5911yescharacteristic
1669C2×C4C2×D4×D5911yescharacteristic
1670C2×C4C2×D4×D5911yescharacteristic
1671C2×C4C24×D5911yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—592no—
1677C8—1181no—
1678C8—1181no—
1679C8—1181no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—22no—
1685C22—21no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—84no—
1695C22—1181no—
1696C22—1181no—
1697C22—1182no—
1698C22—1181no—
1699C22—4724no—
1700C22—4724no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22—2361no—
1705C22—2361no—
1706C22#1683819912yes—
1707C22C22×D4×D5911yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—1181no—
1718C4—1181no—
1719C4—1181no—
1720C4—1181no—
1721C4—1181no—
1722C4—1181no—
1723C4—1181no—
1724C4—2361no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4—2361no—
1729C4—2361no—
1730C4C2×#41×D5911yescharacteristic
1731C4#1683823711yescharacteristic
1732C2—22no—
1733C2—41no—
1734C2—42no—
1735C2—81no—
1736C2—81no—
1737C2—4721no—
1738C2—2361no—
1739C2—2362no—
1740C2#2143758011yescharacteristic
1741C2C2×#1683819911yescharacteristic
1742C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3297C2
socleC22×C59C23×D4
hypercenter#3297D59
hypocenterC59#61454
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #21437703C2semidirect
2. #21437647C2semidirect
3. #21437160C2semidirect
4. #21437054C2semidirect
5. #21436929C2semidirect
6. #21436845C2semidirect
7. #21436594C2semidirect
8. #21436549C2semidirect
9. #21436469C2semidirect
10. #21436258C2semidirect
11. #21436173C2semidirect
12. #21436123C2semidirect
13. #21436068C2semidirect
14. #21435933C2semidirect
15. #21435777C2semidirect
16. #21435614C2semidirect
17. #21435569C2semidirect
18. #21434824C2semidirect
19. #21434798C2semidirect
20. #21434789C2semidirect
21. #21434240C2semidirect
22. #21434233C2semidirect
23. #21434229C2semidirect
24. #21434210C2semidirect
25. #21434200C2semidirect
26. #21434192C2semidirect
27. #21433104C2semidirect
28. C4×#14273751C2semidirect
29. #21432892C2semidirect
30. C2×#16837511C2semidirect
31. C59×#3297C2semidirect
35. #16838135C22semidirect
36. #16838121C22semidirect
37. #16838116C22semidirect
38. #16838111C22semidirect
39. #16838108C22semidirect
42. #16838096C22semidirect
45. #16838092C22semidirect
51. #16838051C22semidirect
52. #16838049C22semidirect
57. #16837954C22semidirect
58. #16837947C22semidirect
59. #16837937C22semidirect
63. #16837933C22semidirect
64. #16837931C22semidirect
69. #41×Dic59C22semidirect
70. #16837870C22semidirect
72. C4×#11745687C22semidirect
73. C2×D4×Dic59C22semidirect
76. C4×D4×D59C22semidirect
78. #16837810C22semidirect
79. #16837809C22semidirect
80. #16837801C22semidirect
81. #16837793C22semidirect
83. #16837784C22semidirect
84. #16837769C22semidirect
85. #16837765C22semidirect
86. #16837760C22semidirect
87. #16837760C22semidirect
88. #16837757C22semidirect
89. #16837745C22semidirect
90. #16837743C22semidirect
91. #16837737C22semidirect
92. #16837733C22semidirect
93. #16837731C22semidirect
94. #16837728C22semidirect
95. #16837727C22semidirect
96. #16837723C22semidirect
97. #16837714C22semidirect
99. #16837708C22semidirect
100. #16837706C22semidirect
101. #16837704C22semidirect
102. #16837704C22semidirect
103. #16837703C22semidirect
104. #16837702C22semidirect
105. #16837701C22semidirect
106. #16837685C22semidirect
107. #16837681C22semidirect
108. #16837681C22semidirect
109. #16837680C22semidirect
110. #16837659C22semidirect
112. #16837651C22semidirect
113. #16837647C22semidirect
114. #16837643C22semidirect
115. #16837641C22semidirect
116. #16837636C22semidirect
117. #16837631C22semidirect
119. #16837629C22semidirect
120. #16837625C22semidirect
121. #16837623C22semidirect
122. #16837617C22semidirect
124. #16837615C22semidirect
125. #16837615C22semidirect
127. #16837606C22semidirect
128. #16837606C22semidirect
129. #16837600C22semidirect
131. #16837566C22semidirect
132. #16837565C22semidirect
134. #16837553C22semidirect
136. #16837551C22semidirect
138. #16837547C22semidirect
141. #16837532C22semidirect
142. #16837529C22semidirect
143. #16837514C22semidirect
144. #16837514C22semidirect
150. #16837511C22semidirect
151. #16837511C22semidirect
152. #16837511C22semidirect
153. #16837511C22semidirect
154. #16837508C22semidirect
155. #16837506C22semidirect
156. #16837506C22semidirect
157. #16837505C22semidirect
158. #16837505C22semidirect
159. #16837505C22semidirect
160. #16837503C22semidirect
161. #16837501C22semidirect
162. #16837501C22semidirect
163. #16837499C22semidirect
164. #16837499C22semidirect
165. #16837499C22semidirect
166. #16837499C22semidirect
167. C4×#11745660C22semidirect
168. C4×#11745670C22semidirect
171. #16837473C22semidirect
173. #16837470C22semidirect
174. D4×C59⋊C8C22semidirect
175. #16837458C22semidirect
176. #16837456C22semidirect
177. #16837456C22semidirect
178. #16837443C22semidirect
179. #16837438C22semidirect
180. C2×#14273658C22semidirect
181. #16837405C22semidirect
182. #16837400C22semidirect
183. #16837399C22semidirect
185. C4×#11745659C22semidirect
186. C2×#14273637C22semidirect
187. C2×#14273637C22semidirect
189. C59×#546C22semidirect
190. C59×#488C22semidirect
191. C59×#484C22semidirect
192. C59×#482C22semidirect
193. C59×#478C22semidirect
194. C59×#466C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
199. C4×D8×C59C22semidirect
200. C8×D4×C59C22semidirect
201. C59×#416C22semidirect
202. C2×#102×C59C22semidirect
616. #11745669#41semidirect
874. #3297D59semidirect
928. #546C2×D59semidirect
962. #488C2×D59semidirect
966. #484C2×D59semidirect
972. #482C2×D59semidirect
982. #478C2×D59semidirect
994. #466C2×D59semidirect
1006. #463C2×D59semidirect
1020. #449C2×D59semidirect
1052. C4×D8C2×D59semidirect
1058. C8×D4C2×D59semidirect
1068. #416C2×D59semidirect
1070. C2×#102C2×D59semidirect
1074. C59#61454semidirect

Maximal subgroups

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

subgroupindex
#214377032
#214376472
#214371602
#214370542
#214369292
#214368452
#214365942
#214365492
#214364692
#214362582
#214361732
#214361232
#214360682
#214359332
#214357772
#214356142
#214355692
#214348242
#214347982
#214347892
#214342402
#214342332
#214342292
#214342102
#214342002
#214341922
#214331042
C4×#142737512
#214328922
C2×#168375112
C59×#32972
#6145459