Finite Group Databasebeta

← #29470672

Subgroups — #29470672

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#21437653C211yesmaximal, characteristic, complemented
3#21437167C211yesmaximal, characteristic, complemented
4#21437051C211yesmaximal, characteristic, complemented
5#21436926C211yesmaximal, characteristic, complemented
6#21436856C211yesmaximal, characteristic, complemented
7#21436552C211yesmaximal, characteristic, complemented
8#21436476C211yesmaximal, characteristic, complemented
9#21436246C211yesmaximal, characteristic, complemented
10#21436180C211yesmaximal, characteristic, complemented
11#21436120C211yesmaximal, characteristic, complemented
12#21436066C211yesmaximal, characteristic, complemented
13#21435949C211yesmaximal, characteristic, complemented
14#21435934C211yesmaximal, characteristic, complemented
15#21435784C211yesmaximal, characteristic, complemented
16#21435626C211yesmaximal, characteristic, complemented
17#21435583C211yesmaximal, characteristic, complemented
18#21434820C211yesmaximal, characteristic, complemented
19#21434807C211yesmaximal, characteristic, complemented
20#21434789C211yesmaximal, characteristic, complemented
21#21434242C211yesmaximal, characteristic, complemented
22#21434239C211yesmaximal, characteristic, complemented
23#21434231C211yesmaximal, characteristic, complemented
24#21434200C211yesmaximal, characteristic, complemented
25#21434200C211yesmaximal, characteristic, complemented
26#21434197C211yesmaximal, characteristic, complemented
27#21433106C211yesmaximal, characteristic, complemented
28#21432903C211yesmaximal, characteristic, complemented
29#21432896C211yesmaximal, characteristic, complemented
30#442×D59C211yesmaximal, characteristic, complemented
31C59×#3347C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic
33C2×#14273749C2211yescharacteristic
34C2×D8×D59C2211yescharacteristic
35#16838135C2211yescharacteristic, complemented
36#16838122C2211yescharacteristic, complemented
37#16838113C2211yescharacteristic, complemented
38#16838108C2211yescharacteristic, complemented
39#16838107C2211yescharacteristic
40#16838099—21no—
41#16838097—21no—
42#16838096C2211yescharacteristic
43#16838091—21no—
44#16838091C2211yescharacteristic
45#16838091C2211yescharacteristic, complemented
46#16838082—21no—
47#16838082—21no—
48#16838081—21no—
49#16838077—21no—
50#16838057C2211yescharacteristic, complemented
51#16838049C2211yescharacteristic
52#16838049C2211yescharacteristic
53#16838049C2211yescharacteristic, complemented
54#16838048C2211yescharacteristic, complemented
55#16838041—21no—
56#16838036C2211yescharacteristic
57#16837957C2211yescharacteristic, complemented
58#16837947C2211yescharacteristic, complemented
59#16837937C2211yescharacteristic
60#16837935—21no—
61#16837933C2211yescharacteristic, complemented
62#16837933C2211yescharacteristic, complemented
63#16837933C2211yescharacteristic, complemented
64#16837931—21no—
65#16837931—21no—
66#16837912—21no—
67#16837912—21no—
68#16837910—21no—
69#16837870C2211yescharacteristic, complemented
70#16837870C2211yescharacteristic, complemented
71#16837870C2211yescharacteristic, complemented
72C4×#11745687C2211yescharacteristic
73C2×#14273689C2211yescharacteristic, complemented
74C4×D4×D59—21no—
75C4×D4×D59C2211yescharacteristic
76C4×D4×D59C2211yescharacteristic, complemented
77#117×D59—21no—
78#16837810C2211yescharacteristic, complemented
79#16837802C2211yescharacteristic, complemented
80#16837796C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic
82#16837785C2211yescharacteristic, complemented
83#16837772C2211yescharacteristic, complemented
84#16837765C2211yescharacteristic, complemented
85#16837764C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837755C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837743C2211yescharacteristic, complemented
90#16837743C2211yescharacteristic, complemented
91#16837739C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic, complemented
93#16837734C2211yescharacteristic, complemented
94#16837732C2211yescharacteristic, complemented
95#16837726C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic
97#16837708C2211yescharacteristic, complemented
98#16837708C2211yescharacteristic, complemented
99#16837705C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic, complemented
101#16837701C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837699C2211yescharacteristic, complemented
104#16837686C2211yescharacteristic, complemented
105#16837681C2211yescharacteristic, complemented
106#16837679C2211yescharacteristic, complemented
107#16837660C2211yescharacteristic, complemented
108#16837646C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837644C2211yescharacteristic, complemented
111#16837644C2211yescharacteristic, complemented
112#16837636C2211yescharacteristic, complemented
113#16837632C2211yescharacteristic
114#16837632C2211yescharacteristic
115#16837631C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837623C2211yescharacteristic, complemented
118#16837623C2211yescharacteristic, complemented
119#16837618C2211yescharacteristic, complemented
120#16837617C2211yescharacteristic, complemented
121#16837616C2211yescharacteristic
122#16837616C2211yescharacteristic
123#16837616C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic, complemented
125#16837608C2211yescharacteristic, complemented
126#16837607C2211yescharacteristic, complemented
127#16837601C2211yescharacteristic, complemented
128#16837596C2211yescharacteristic
129#16837566C2211yescharacteristic, complemented
130#16837566C2211yescharacteristic, complemented
131#16837555C2211yescharacteristic, complemented
132#16837554C2211yescharacteristic
133#16837554C2211yescharacteristic
134#16837554C2211yescharacteristic, complemented
135#16837549C2211yescharacteristic, complemented
136#16837545C2211yescharacteristic
137#16837545C2211yescharacteristic
138#16837545C2211yescharacteristic, complemented
139#16837537C2211yescharacteristic
140#16837535C2211yescharacteristic
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837515C2211yescharacteristic
144#16837514C2211yescharacteristic, complemented
145#16837513C2211yescharacteristic
146#16837513C2211yescharacteristic
147#16837513C2211yescharacteristic, complemented
148#16837512C2211yescharacteristic
149#16837512C2211yescharacteristic, complemented
150#16837511C2211yescharacteristic
151#16837511C2211yescharacteristic, complemented
152#16837511C2211yescharacteristic, complemented
153#16837508C2211yescharacteristic, complemented
154#16837508C2211yescharacteristic, complemented
155#16837508C2211yescharacteristic, complemented
156#16837501C2211yescharacteristic, complemented
157#16837501C2211yescharacteristic, complemented
158#16837501C2211yescharacteristic, complemented
159#16837501C2211yescharacteristic, complemented
160#16837501C2211yescharacteristic, complemented
161#16837501C2211yescharacteristic, complemented
162#16837501C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic, complemented
164#16837499C2211yescharacteristic, complemented
165#16837499C2211yescharacteristic, complemented
166#16837489C2211yescharacteristic, complemented
167#16837489C2211yescharacteristic, complemented
168#16837484C2211yescharacteristic
169#16837484C2211yescharacteristic, complemented
170#16837476C2211yescharacteristic
171#16837474C2211yescharacteristic, complemented
172#16837471C2211yescharacteristic
173C8×C22⋊D59C2211yescharacteristic, complemented
174(C22⋊D59)⋊C8C2211yescharacteristic, complemented
175#16837458C2211yescharacteristic, complemented
176#16837456C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#106×D59C2211yescharacteristic, complemented
179#16837406C2211yescharacteristic, complemented
180#16837401C2211yescharacteristic, complemented
181#16837396C2211yescharacteristic, complemented
182#16837396C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic, complemented
185M16×Dic59C2211yescharacteristic, complemented
186C2×#14273637C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#555C2211yescharacteristic, complemented
189C59×#553C2211yescharacteristic, complemented
190C59×#501C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#482C2211yescharacteristic, complemented
194C59×#480C2211yescharacteristic, complemented
195C59×#478C2211yescharacteristic, complemented
196C59×#474C2211yescharacteristic, complemented
197C59×#469C2211yescharacteristic
198C59×#466C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#428C2211yescharacteristic, complemented
202C59×#427C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C2×#11745687D411yescharacteristic
208C22×D236C2311yescharacteristic
209C2×D4×D59—21no—
210C2×D4×D59C2311yescharacteristic
211C2×D4×D59C2311yescharacteristic
212C22×C4×D59—21no—
213C22×C4×D59—21no—
214C22×C4×D59—21no—
215#14273755—24no—
216#14273749—24no—
217C2×Dic236C2311yescharacteristic
218C2×Dic236C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×D472C2311yescharacteristic
228C2×D472C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232D8×D59—24no—
233C2×#11745664C2311yescharacteristic
234C22×C59⋊C8C2311yescharacteristic
235C2×C8×D59C2311yescharacteristic
236C2×C8×D59C2311yescharacteristic
237#14273727C2311yescharacteristic
238#14273726C2311yescharacteristic
239#14273723C2311yescharacteristic
240#14273722—21no—
241#14273721—21no—
242#14273720—21no—
243#14273720—21no—
244#14273720—21no—
245#14273720—21no—
246#14273720—21no—
247#14273720—21no—
248#14273720—21no—
249#14273719—21no—
250#14273719—21no—
251#14273718—21no—
252#14273718C2311yescharacteristic
253#14273718C2311yescharacteristic
254#14273718C2311yescharacteristic
255#14273717—21no—
256#14273715C2311yescharacteristic
257#14273714C2311yescharacteristic
258#14273714C2311yescharacteristic
259#14273714C2311yescharacteristic
260#14273713—21no—
261#14273713—21no—
262#14273712—21no—
263#14273712—21no—
264#14273710—21no—
265#14273709—21no—
266#14273709—21no—
267#14273709—21no—
268#14273709—21no—
269#14273709—21no—
270#14273709—21no—
271#14273709—21no—
272#14273709—21no—
273#14273709—21no—
274#14273708—21no—
275#14273708—21no—
276#14273708—21no—
277#14273707—21no—
278#14273707—21no—
279#14273707C2311yescharacteristic
280#14273707C2311yescharacteristic
281#14273707C2311yescharacteristic
282#14273706—21no—
283#14273706—21no—
284#14273706C2311yescharacteristic
285#14273706C2311yescharacteristic
286#14273706C2311yescharacteristic
287#14273705—21no—
288#14273705—21no—
289#14273705—21no—
290#14273703—21no—
291#14273703—21no—
292#14273703—21no—
293#14273702C2311yescharacteristic
294#14273701C2311yescharacteristic
295#14273700—21no—
296#14273700—21no—
297#14273700—21no—
298#14273699—21no—
299#14273698—21no—
300#14273698—21no—
301#14273698—21no—
302#14273698—21no—
303#14273697—21no—
304#14273695—21no—
305#14273695—21no—
306#14273695—21no—
307#14273695—21no—
308#14273695—21no—
309Q8×Dic59—21no—
310C4×Dic118C2311yescharacteristic
311#14273692D411yescharacteristic
312#14273692C2311yescharacteristic
313#14273692C2311yescharacteristic
314#14273692C2311yescharacteristic
315#14273692C2311yescharacteristic
316#14273692C2311yescharacteristic
317#14273692C2311yescharacteristic
318C4×D236—21no—
319C4×D236C2311yescharacteristic
320C4×D236C2311yescharacteristic
321D4×Dic59—21no—
322D4×Dic59—21no—
323D4×Dic59—21no—
324D4×Dic59D411yescharacteristic
325D4×Dic59C2311yescharacteristic
326D4×Dic59C2311yescharacteristic
327#14273689—21no—
328#14273689—21no—
329#14273689—21no—
330#14273689C2311yescharacteristic
331#14273689C2311yescharacteristic
332#14273689C2311yescharacteristic
333#14273689C2311yescharacteristic
334#14273689C2311yescharacteristic
335#14273689C2311yescharacteristic
336#14273689C2311yescharacteristic
337#14273689C2311yescharacteristic
338C4×C22⋊D59—21no—
339C4×C22⋊D59—21no—
340C4×C22⋊D59—21no—
341C4×C22⋊D59—21no—
342C4×C22⋊D59C2311yescharacteristic
343C4×C22⋊D59C2311yescharacteristic
344(C22⋊D59)⋊C4—21no—
345(C22⋊D59)⋊C4—21no—
346(C22⋊D59)⋊C4—21no—
347(C22⋊D59)⋊C4—21no—
348(C22⋊D59)⋊C4—21no—
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4D411yescharacteristic
354(C22⋊D59)⋊C4D411yescharacteristic
355#14273686—21no—
356#14273685—21no—
357#14273685—21no—
358#14273685D411yescharacteristic
359#14273684—21no—
360#14273684—21no—
361#14273684—21no—
362#14273684—21no—
363#14273684—21no—
364#14273683—21no—
365#14273683—21no—
366#14273683—21no—
367#14273683D411yescharacteristic
368#14273683D411yescharacteristic
369C4⋊C4×D59—21no—
370C4⋊C4×D59—21no—
371C4⋊C4×D59—21no—
372C4⋊C4×D59C2311yescharacteristic
373C4⋊C4×D59C2311yescharacteristic
374C2×(C2×D59)⋊C4—21no—
375C22⋊C4×D59—21no—
376C22⋊C4×D59—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C2×C4×Dic59C2311yescharacteristic
382C2×C4×Dic59C2311yescharacteristic
383C42×D59—21no—
384C42×D59—21no—
385C42×D59—21no—
386C42×D59C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273659C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394C4⋊(C59⋊C8)C2311yescharacteristic
395Dic59⋊C8C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399#14273652C2311yescharacteristic
400#14273652C2311yescharacteristic
401#14273652C2311yescharacteristic
402#14273650C2311yescharacteristic
403#14273650C2311yescharacteristic
404#14273650C2311yescharacteristic
405#14273650C2311yescharacteristic
406#14273650C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273647C2311yescharacteristic
417#14273647C2311yescharacteristic
418#14273647C2311yescharacteristic
419#14273647C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429#14273638C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×D8×C59C2311yescharacteristic
439C2×M16×C59C2311yescharacteristic
440C22×C8×C59C2311yescharacteristic
441C4⋊Q8×C59C2311yescharacteristic
442#126×C59—21no—
443#125×C59C2311yescharacteristic
444#124×C59—21no—
445#124×C59—21no—
446#123×C59—21no—
447#121×C59—21no—
448#121×C59—21no—
449#121×C59C2311yescharacteristic
450#121×C59C2311yescharacteristic
451#121×C59C2311yescharacteristic
452#121×C59C2311yescharacteristic
453C4×D4×C59—21no—
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457#117×C59—21no—
458#117×C59C2311yescharacteristic
459#117×C59C2311yescharacteristic
460#117×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462#107×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471C4⋊C8×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
480#97×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483C23×D59—21no—
484C2×Q8×C59—21no—
485C2×D4×C59—21no—
486C2×D4×C59—21no—
487C2×D4×C59—21no—
488C2×D4×C59—21no—
489C2×D4×C59C2×D411yescharacteristic
490C2×D4×C59C2411yescharacteristic
491C2×D4×C59C2411yescharacteristic
492C22×C4×C59—21no—
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C22×C4×C59C2411yescharacteristic
496C22×C4×C59C2411yescharacteristic
497C2×C22⋊D59—21no—
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⋊D59—21no—
505C2×C22⋊D59C2×D411yescharacteristic
506C2×C22⋊D59C2×D411yescharacteristic
507C22×Dic59—21no—
508C22×Dic59—21no—
509C22×Dic59C2×D411yescharacteristic
510C22×Dic59C2×D411yescharacteristic
511C22×Dic59C2×D411yescharacteristic
512C22×Dic59C2×D411yescharacteristic
513#11745687—42no—
514#11745687—82no—
515D4×D59—22no—
516D4×D59—22no—
517D4×D59—41no—
518D4×D59—41no—
519D4×D59—44no—
520#11745685—22no—
521#11745685—22no—
522#11745685—22no—
523#11745685—41no—
524#11745685—41no—
525#11745685—41no—
526C2×D236—22no—
527C2×D236—21no—
528C2×D236—21no—
529C2×D236—41no—
530C2×D236C2411yescharacteristic
531C2×D236C2411yescharacteristic
532C2×D236C2411yescharacteristic
533C2×C4×D59—21no—
534C2×C4×D59—21no—
535C2×C4×D59—21no—
536C2×C4×D59—21no—
537C2×C4×D59—21no—
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
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—44no—
549C2×C4×D59—82no—
550C2×C4×D59—82no—
551C2×C4×D59C2×D411yescharacteristic
552C2×C4×D59C2×D411yescharacteristic
553C2×C4×D59C2411yescharacteristic
554C2×Dic118—21no—
555C2×Dic118C2×D411yescharacteristic
556C2×Dic118C2411yescharacteristic
557C2×Dic118C2411yescharacteristic
558C2×Dic118C2411yescharacteristic
559D8×C59—22no—
560M16×C59—22no—
561C2×C8×C59—22no—
562C2×C8×C59C2411yescharacteristic
563C2×C8×C59C2411yescharacteristic
564C2×C8×C59C2411yescharacteristic
565C2×C8×C59C2411yescharacteristic
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59C2×D411yescharacteristic
571C4⋊C4×C59C2411yescharacteristic
572C4⋊C4×C59C2411yescharacteristic
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×C59—21no—
590C42×C59—21no—
591C42×C59C2411yescharacteristic
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⋊Dic59C2×D411yescharacteristic
604C22⋊Dic59C2×D411yescharacteristic
605#11745670—41no—
606#11745670—41no—
607#11745670—41no—
608#11745669—22no—
609#11745669—22no—
610#11745669—41no—
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)⋊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)⋊C4C2×D411yescharacteristic
629(C2×D59)⋊C4C2×D411yescharacteristic
630C4⋊Dic59—21no—
631C4⋊Dic59—21no—
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
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⋊C4C2×D411yescharacteristic
657Dic59⋊C4C2×D411yescharacteristic
658Dic59⋊C4C2×D411yescharacteristic
659Dic59⋊C4C2×D411yescharacteristic
660C4×Dic59—21no—
661C4×Dic59—21no—
662C4×Dic59—21no—
663C4×Dic59—21no—
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59C2×D411yescharacteristic
667C4×Dic59C2×D411yescharacteristic
668C4×Dic59C2×D411yescharacteristic
669C4×Dic59C2×D411yescharacteristic
670C4×Dic59C2×D411yescharacteristic
671C4×Dic59C2×D411yescharacteristic
672C4×Dic59C2411yescharacteristic
673C4×Dic59C2411yescharacteristic
674C4×Dic59C2411yescharacteristic
675#11745664—41no—
676C2×C59⋊C8—41no—
677C2×C59⋊C8C2411yescharacteristic
678C2×C59⋊C8C2411yescharacteristic
679C2×C59⋊C8C2411yescharacteristic
680C2×C59⋊C8C2411yescharacteristic
681Dic236—22no—
682Dic236—41no—
683D472—22no—
684D472#4114yescomplemented
685#11745660—22no—
686#11745660—22no—
687#11745660—22no—
688#11745660—22no—
689#11745660—41no—
690C8×D59—22no—
691C8×D59—41no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59C22×D411yescharacteristic
695C23×C59C22×D411yescharacteristic
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—21no—
699C22×D59—42no—
700C22×D59—42no—
701C22×D59—42no—
702C22×D59—42no—
703C22×D59—42no—
704C22×D59—42no—
705C22×D59—81no—
706C22×D59—81no—
707C22×D59—81no—
708C22×D59C22×D411yescharacteristic
709Q8×C59—81no—
710D4×C59—21no—
711D4×C59—21no—
712D4×C59—21no—
713D4×C59—21no—
714D4×C59—41no—
715D4×C59—42no—
716D4×C59—81no—
717D4×C59—81no—
718D4×C59—81no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
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—42no—
730C2×C4×C59—81no—
731C2×C4×C59—81no—
732C2×C4×C59C22×D411yescharacteristic
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C2511yescharacteristic
737C22⋊D59—22no—
738C22⋊D59—22no—
739C22⋊D59—42no—
740C22⋊D59—42no—
741C22⋊D59—42no—
742C22⋊D59—42no—
743C22⋊D59—42no—
744C22⋊D59—42no—
745C22⋊D59—81no—
746C22⋊D59—81no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—41no—
753C2×Dic59—41no—
754C2×Dic59—41no—
755C2×Dic59—41no—
756C2×Dic59—42no—
757C2×Dic59—42no—
758C2×Dic59C22×D411yescharacteristic
759C2×Dic59C22×D411yescharacteristic
760C2×Dic59C22×D411yescharacteristic
761C2×Dic59C22×D411yescharacteristic
762C2×Dic59C22×D411yescharacteristic
763C2×Dic59C22×D411yescharacteristic
764C2×Dic59C22×D411yescharacteristic
765D236—21no—
766D236—21no—
767D236—21no—
768D236—21no—
769D236—42no—
770D236—42no—
771D236C2×#4112yes—
772D236C2×#4112yes—
773C4×D59—22no—
774C4×D59—21no—
775C4×D59—21no—
776C4×D59—41no—
777C4×D59—42no—
778C4×D59—42no—
779C4×D59—42no—
780C4×D59—42no—
781C4×D59—42no—
782C4×D59—42no—
783C4×D59—42no—
784C4×D59—42no—
785C4×D59—42no—
786C4×D59—81no—
787C4×D59—81no—
788C4×D59—81no—
789C4×D59—81no—
790C4×D59—81no—
791C4×D59—81no—
792Dic118—21no—
793Dic118—21no—
794Dic118—21no—
795Dic118—21no—
796Dic118—21no—
797Dic118—21no—
798Dic118—41no—
799Dic118—81no—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59C2×#4112yes—
804C59⋊C8—21no—
805C59⋊C8—21no—
806C59⋊C8—21no—
807C59⋊C8—21no—
808#61454—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—21no—
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×C59C23×D411yescharacteristic
822C2×D59—21no—
823C2×D59—21no—
824C2×D59—22no—
825C2×D59—22no—
826C2×D59—41no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—84no—
834C2×D59—84no—
835C2×D59—84no—
836C2×D59#57512yes—
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×C59—41no—
847C4×C59C22×#4111yescharacteristic
848C4×C59#58511yescharacteristic
849Dic59—21no—
850Dic59—21no—
851Dic59—21no—
852Dic59—21no—
853Dic59—21no—
854Dic59—21no—
855Dic59—21no—
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#3347D5911yescharacteristic, complemented
868#3344—591no—
869#3337—591no—
870#3319—591no—
871#3314—591no—
872#3310—591no—
873#3307—591no—
874#3297—591no—
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—41no—
893C2×C59—41no—
894C2×C59—81no—
895C2×C59—81no—
896C2×C59D4×#4111yescharacteristic
897C2×C59C2×#57511yescharacteristic
898C2×C59#358511yescharacteristic
899D59—22no—
900D59—42no—
901D59—42no—
902D59—81no—
903C2×AGL(1,ℤ/8)—591no—
904C2×#135—591no—
905C22×D8—591no—
906#559—591no—
907#556—591no—
908#555C2×D5911yescharacteristic, complemented
909#554—591no—
910#554—591no—
911#554—591no—
912#553—591no—
913#553—1181no—
914#553—1181no—
915#553C2×D5911yescharacteristic, complemented
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—591no—
928#546—1181no—
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#501C2×D5911yescharacteristic, complemented
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#488—591no—
963#485—591no—
964#485—591no—
965#484—591no—
966#484—591no—
967#483—591no—
968#483—591no—
969#482—591no—
970#482C2×D5911yescharacteristic, complemented
971#482C2×D5911yescharacteristic, complemented
972#482C2×D5911yescharacteristic, complemented
973#480—591no—
974#480C2×D5911yescharacteristic, complemented
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#474C2×D5911yescharacteristic, complemented
987#470—591no—
988#469C2×D5911yescharacteristic
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#465—591no—
999#464—591no—
1000#464—591no—
1001#463—591no—
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463—591no—
1006#463—591no—
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#449—591no—
1021#447—591no—
1022#447—591no—
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#442C2×D5911yescharacteristic, complemented
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×D8—591no—
1053#435—591no—
1054#435—591no—
1055#435—591no—
1056#435C2×D5911yescharacteristic, complemented
1057C8×D4—591no—
1058C8×D4—591no—
1059#432—591no—
1060#432—591no—
1061#432—591no—
1062#428C2×D5911yescharacteristic, complemented
1063#427C2×D5911yescharacteristic, complemented
1064C2×#106—591no—
1065#418—591no—
1066#417—591no—
1067#416—591no—
1068#416—591no—
1069C2×#102—591no—
1070C2×#102—591no—
1071C4×M16—591no—
1072C2×#97—591no—
1073C2×#97—591no—
1074C59#6145411yescharacteristic, complemented, Sylow
1075C2×#41—591no—
1076C2×#41—591no—
1077C2×#41—591no—
1078C2×#41—591no—
1079C2×#41—1181no—
1080C22×D4—591no—
1081C22×D4—591no—
1082C22×D4—591no—
1083C22×D4—1181no—
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×SD16—591no—
1099C2×D8—591no—
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×D8—1184no—
1105C2×D8C22×D5911yescharacteristic
1106C2×M16—591no—
1107C2×M16C22×D5911yescharacteristic
1108C22×C8—591no—
1109C22×C8—591no—
1110C22×C8—591no—
1111C22×C8C22×D5911yescharacteristic
1112C4⋊Q8—591no—
1113C4⋊Q8—591no—
1114C4⋊Q8C22×D5911yescharacteristic
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—21no—
1135#124—21no—
1136#124—591no—
1137#124—591no—
1138#124—591no—
1139#124—591no—
1140#124—1181no—
1141#124—1181no—
1142#123—21no—
1143#123—1181no—
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—591no—
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⋊Q8—1181no—
1174#121—21no—
1175#121—21no—
1176#121—591no—
1177#121—591no—
1178#121—1181no—
1179#121—1181no—
1180#121—1181no—
1181#121—1181no—
1182#121—1181no—
1183#121—1181no—
1184#121—1181no—
1185#121—1181no—
1186#121C22×D5911yescharacteristic
1187#121C22×D5911yescharacteristic
1188#121C22×D5911yescharacteristic
1189#121C22×D5911yescharacteristic
1190#120—1181no—
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—21no—
1247#117—591no—
1248#117—591no—
1249#117—591no—
1250#117—1181no—
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#117C22×D5911yescharacteristic
1262#117C22×D5911yescharacteristic
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—1181no—
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#107C22×D5911yescharacteristic
1287#107C22×D5911yescharacteristic
1288#107C22×D5911yescharacteristic
1289#107C22×D5911yescharacteristic
1290#107C22×D5911yescharacteristic
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106C22×D5911yescharacteristic
1296#106C22×D5911yescharacteristic
1297#106C22×D5911yescharacteristic
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#103—591no—
1315#103—591no—
1316#103—591no—
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#102—591no—
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#97C22×D5911yescharacteristic
1351C4×C8—591no—
1352C4×C8—591no—
1353C24—1181no—
1354C24—1181no—
1355C24—1181no—
1356#41—1182no—
1357#41—1182no—
1358#41—1182no—
1359#41—4722no—
1360#41—2361no—
1361#41—2361no—
1362#41—2361no—
1363#41—2362no—
1364C2×Q8—21no—
1365C2×Q8—591no—
1366C2×Q8—591no—
1367C2×Q8—591no—
1368C2×Q8—591no—
1369C2×Q8—1181no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—591no—
1375C2×D4—591no—
1376C2×D4—591no—
1377C2×D4—591no—
1378C2×D4—591no—
1379C2×D4—1182no—
1380C2×D4—1181no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—1182no—
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—2361no—
1395C2×D4—2364no—
1396C2×D4D4×D5911yescharacteristic
1397C2×D4C23×D5911yescharacteristic
1398C2×D4C23×D5911yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—591no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—1181no—
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—1182no—
1434SD16—1182no—
1435SD16—1182no—
1436SD16—1182no—
1437SD16—2361no—
1438SD16—2361no—
1439SD16—2361no—
1440SD16—2361no—
1441D8—22no—
1442D8—594no—
1443D8—1182no—
1444D8—1182no—
1445D8—1182no—
1446D8—2361no—
1447M16—22no—
1448M16—2361no—
1449C2×C8—22no—
1450C2×C8—591no—
1451C2×C8—591no—
1452C2×C8—591no—
1453C2×C8—591no—
1454C2×C8—1182no—
1455C2×C8—2361no—
1456C2×C8—2361no—
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—1181no—
1473C4⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1496C4⋊C4C23×D5911yescharacteristic
1497C4⋊C4C23×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—21no—
1547C42—21no—
1548C42—591no—
1549C42—591no—
1550C42—591no—
1551C42—591no—
1552C42—591no—
1553C42—591no—
1554C42—591no—
1555C42—591no—
1556C42—591no—
1557C42—1181no—
1558C42—1181no—
1559C42—1181no—
1560C42—1181no—
1561C42—1181no—
1562C42—1181no—
1563C42C23×D5911yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—591no—
1567C23—1181no—
1568C23—1181no—
1569C23—1181no—
1570C23—4721no—
1571C23—4721no—
1572C23—4721no—
1573C23—2362no—
1574C23—2362no—
1575C23—2362no—
1576C23—2362no—
1577C23—2362no—
1578C23—2362no—
1579C23C2×D4×D5911yescharacteristic
1580C23C2×D4×D5911yescharacteristic
1581Q8—81no—
1582Q8—1181no—
1583Q8—1181no—
1584Q8—1181no—
1585Q8—1181no—
1586Q8—1181no—
1587Q8—1181no—
1588Q8—4721no—
1589Q8—2361no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—41no—
1595D4—42no—
1596D4—81no—
1597D4—81no—
1598D4—81no—
1599D4—592no—
1600D4—592no—
1601D4—1182no—
1602D4—1182no—
1603D4—1181no—
1604D4—1181no—
1605D4—1181no—
1606D4—1181no—
1607D4—4721no—
1608D4—4721no—
1609D4—2362no—
1610D4—2362no—
1611D4—2362no—
1612D4—2362no—
1613D4—2362no—
1614D4—2362no—
1615D4—2362no—
1616D4—2362no—
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—21no—
1627C2×C4—42no—
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—4721no—
1646C2×C4—4721no—
1647C2×C4—4721no—
1648C2×C4—4721no—
1649C2×C4—4721no—
1650C2×C4—4721no—
1651C2×C4—2361no—
1652C2×C4—2362no—
1653C2×C4—2362no—
1654C2×C4—2362no—
1655C2×C4—2362no—
1656C2×C4—2362no—
1657C2×C4—2362no—
1658C2×C4—2362no—
1659C2×C4—2362no—
1660C2×C4—2362no—
1661C2×C4—2361no—
1662C2×C4—2361no—
1663C2×C4—2361no—
1664C2×C4—2361no—
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—1181no—
1676C8—1181no—
1677C8—1181no—
1678C8—1181no—
1679C8#41×D5912yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—592no—
1693C22—1181no—
1694C22—1181no—
1695C22—1182no—
1696C22—1182no—
1697C22—4724no—
1698C22—4724no—
1699C22—4724no—
1700C22—2361no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22—2361no—
1705C22—2361no—
1706C22—2361no—
1707C22C22×D4×D5911yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—1181no—
1719C4—1181no—
1720C4—1181no—
1721C4—1181no—
1722C4—1181no—
1723C4—1181no—
1724C4—1181no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4—2361no—
1729C4—2361no—
1730C4C2×#41×D5911yescharacteristic
1731C4#1683823911yescharacteristic
1732C2—41no—
1733C2—41no—
1734C2—81no—
1735C2—81no—
1736C2—1182no—
1737C2—4721no—
1738C2—2362no—
1739C2—2362no—
1740C2#2143758311yescharacteristic
1741C2#575×D5911yescharacteristic
1742C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3347C2
socleC22×C59C23×D4
hypercenter#3347D59
hypocenterC59#61454
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #21437703C2semidirect
2. #21437653C2semidirect
3. #21437167C2semidirect
4. #21437051C2semidirect
5. #21436926C2semidirect
6. #21436856C2semidirect
7. #21436552C2semidirect
8. #21436476C2semidirect
9. #21436246C2semidirect
10. #21436180C2semidirect
11. #21436120C2semidirect
12. #21436066C2semidirect
13. #21435949C2semidirect
14. #21435934C2semidirect
15. #21435784C2semidirect
16. #21435626C2semidirect
17. #21435583C2semidirect
18. #21434820C2semidirect
19. #21434807C2semidirect
20. #21434789C2semidirect
21. #21434242C2semidirect
22. #21434239C2semidirect
23. #21434231C2semidirect
24. #21434200C2semidirect
25. #21434200C2semidirect
26. #21434197C2semidirect
27. #21433106C2semidirect
28. #21432903C2semidirect
29. #21432896C2semidirect
30. #442×D59C2semidirect
31. C59×#3347C2semidirect
35. #16838135C22semidirect
36. #16838122C22semidirect
37. #16838113C22semidirect
38. #16838108C22semidirect
45. #16838091C22semidirect
50. #16838057C22semidirect
53. #16838049C22semidirect
54. #16838048C22semidirect
57. #16837957C22semidirect
58. #16837947C22semidirect
61. #16837933C22semidirect
62. #16837933C22semidirect
63. #16837933C22semidirect
69. #16837870C22semidirect
70. #16837870C22semidirect
71. #16837870C22semidirect
73. C2×#14273689C22semidirect
76. C4×D4×D59C22semidirect
78. #16837810C22semidirect
79. #16837802C22semidirect
80. #16837796C22semidirect
82. #16837785C22semidirect
83. #16837772C22semidirect
84. #16837765C22semidirect
85. #16837764C22semidirect
86. #16837760C22semidirect
87. #16837755C22semidirect
88. #16837755C22semidirect
89. #16837743C22semidirect
90. #16837743C22semidirect
91. #16837739C22semidirect
92. #16837739C22semidirect
93. #16837734C22semidirect
94. #16837732C22semidirect
95. #16837726C22semidirect
97. #16837708C22semidirect
98. #16837708C22semidirect
99. #16837705C22semidirect
100. #16837705C22semidirect
101. #16837701C22semidirect
102. #16837701C22semidirect
103. #16837699C22semidirect
104. #16837686C22semidirect
105. #16837681C22semidirect
106. #16837679C22semidirect
107. #16837660C22semidirect
108. #16837646C22semidirect
109. #16837646C22semidirect
110. #16837644C22semidirect
111. #16837644C22semidirect
112. #16837636C22semidirect
115. #16837631C22semidirect
116. #16837629C22semidirect
117. #16837623C22semidirect
118. #16837623C22semidirect
119. #16837618C22semidirect
120. #16837617C22semidirect
123. #16837616C22semidirect
124. #16837616C22semidirect
125. #16837608C22semidirect
126. #16837607C22semidirect
127. #16837601C22semidirect
129. #16837566C22semidirect
130. #16837566C22semidirect
131. #16837555C22semidirect
134. #16837554C22semidirect
135. #16837549C22semidirect
138. #16837545C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
144. #16837514C22semidirect
147. #16837513C22semidirect
149. #16837512C22semidirect
151. #16837511C22semidirect
152. #16837511C22semidirect
153. #16837508C22semidirect
154. #16837508C22semidirect
155. #16837508C22semidirect
156. #16837501C22semidirect
157. #16837501C22semidirect
158. #16837501C22semidirect
159. #16837501C22semidirect
160. #16837501C22semidirect
161. #16837501C22semidirect
162. #16837501C22semidirect
163. #16837499C22semidirect
164. #16837499C22semidirect
165. #16837499C22semidirect
166. #16837489C22semidirect
167. #16837489C22semidirect
169. #16837484C22semidirect
171. #16837474C22semidirect
173. C8×C22⋊D59C22semidirect
174. (C22⋊D59)⋊C8C22semidirect
175. #16837458C22semidirect
176. #16837456C22semidirect
177. #16837456C22semidirect
178. #106×D59C22semidirect
179. #16837406C22semidirect
180. #16837401C22semidirect
181. #16837396C22semidirect
182. #16837396C22semidirect
184. #102×D59C22semidirect
185. M16×Dic59C22semidirect
186. C2×#14273637C22semidirect
187. #97×D59C22semidirect
188. C59×#555C22semidirect
189. C59×#553C22semidirect
190. C59×#501C22semidirect
191. C59×#482C22semidirect
192. C59×#482C22semidirect
193. C59×#482C22semidirect
194. C59×#480C22semidirect
195. C59×#478C22semidirect
196. C59×#474C22semidirect
198. C59×#466C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#428C22semidirect
202. C59×#427C22semidirect
684. D472#41semidirect
867. #3347D59semidirect
908. #555C2×D59semidirect
915. #553C2×D59semidirect
952. #501C2×D59semidirect
970. #482C2×D59semidirect
971. #482C2×D59semidirect
972. #482C2×D59semidirect
974. #480C2×D59semidirect
982. #478C2×D59semidirect
986. #474C2×D59semidirect
994. #466C2×D59semidirect
1035. #442C2×D59semidirect
1056. #435C2×D59semidirect
1062. #428C2×D59semidirect
1063. #427C2×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
#214376532
#214371672
#214370512
#214369262
#214368562
#214365522
#214364762
#214362462
#214361802
#214361202
#214360662
#214359492
#214359342
#214357842
#214356262
#214355832
#214348202
#214348072
#214347892
#214342422
#214342392
#214342312
#214342002
#214341972
#214331062
#214329032
#214328962
#442×D592
C59×#33472
#6145459