Finite Group Databasebeta

← #29474167

Subgroups — #29474167

Order 15104.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437924C211yesmaximal, characteristic, complemented
2#21437579C211yesmaximal, characteristic, complemented
3#21436362C211yesmaximal, characteristic, complemented
4#21436310C211yesmaximal, characteristic, complemented
5#21436270C211yesmaximal, characteristic, complemented
6#21436240C211yesmaximal, characteristic, complemented
7#21436228C211yesmaximal, characteristic, complemented
8#21436198C211yesmaximal, characteristic, complemented
9#21435993C211yesmaximal, characteristic, complemented
10#21435941C211yesmaximal, characteristic, complemented
11#21435840C211yesmaximal, characteristic, complemented
12#21435810C211yesmaximal, characteristic, complemented
13#21435725C211yesmaximal, characteristic, complemented
14#21435700C211yesmaximal, characteristic, complemented
15#21435664C211yesmaximal, characteristic, complemented
16#21435633C211yesmaximal, characteristic, complemented
17#21435618C211yesmaximal, characteristic, complemented
18#21435594C211yesmaximal, characteristic, complemented
19#21435131C211yesmaximal, characteristic, complemented
20#21435075C211yesmaximal, characteristic, complemented
21#21434933C211yesmaximal, characteristic, complemented
22#21434930C211yesmaximal, characteristic, complemented
23#21434865C211yesmaximal, characteristic, complemented
24#21434208C211yesmaximal, characteristic, complemented
25#21434109C211yesmaximal, characteristic, complemented
26#21433345C211yesmaximal, characteristic, complemented
27#21433336C211yesmaximal, characteristic, complemented
28#21433318C211yesmaximal, characteristic, complemented
29#452×D59C211yesmaximal, characteristic, complemented
30#21433127C211yesmaximal, characteristic, complemented
31C59×#3191C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic, complemented
33C2×#41×D59C2211yescharacteristic
34C2×#14273757C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273752C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C2×#14273749C2211yescharacteristic, complemented
39C2×#14273749C2211yescharacteristic, complemented
40C2×Q16×D59C2211yescharacteristic, complemented
41C2×SD16×D59C2211yescharacteristic, complemented
42#16838102—21no—
43#16838099C2211yescharacteristic, complemented
44#16838097—21no—
45#16838096C2211yescharacteristic
46#16838091C2211yescharacteristic, complemented
47#16838086C2211yescharacteristic, complemented
48#16838081—21no—
49#16838080—21no—
50#16838070C2211yescharacteristic
51#16838065C2211yescharacteristic, complemented
52#16838062C2211yescharacteristic, complemented
53#16838062C2211yescharacteristic, complemented
54#16838059C2211yescharacteristic
55#16838058C2211yescharacteristic
56#16838054C2211yescharacteristic
57#16838050—21no—
58#16838049C2211yescharacteristic, complemented
59#16838049C2211yescharacteristic, complemented
60#16838044—21no—
61#16838043C2211yescharacteristic
62#16838040C2211yescharacteristic, complemented
63#16838039—21no—
64#16838036C2211yescharacteristic, complemented
65#16838034—21no—
66#16837994—21no—
67#16837987—21no—
68#16837962—21no—
69#16837949—21no—
70#16837948C2211yescharacteristic, complemented
71#16837938C2211yescharacteristic, complemented
72#16837933C2211yescharacteristic, complemented
73#16837914C2211yescharacteristic
74#16837913C2211yescharacteristic, complemented
75#16837911—21no—
76#16837911—21no—
77C22⋊Q8×D59C2211yescharacteristic, complemented
78#121×D59C2211yescharacteristic, complemented
79#16837874—21no—
80#16837870C2211yescharacteristic, complemented
81C2×C4×C22⋊D59C2211yescharacteristic
82C4×D4×D59—21no—
83#16837793C2211yescharacteristic, complemented
84#16837790C2211yescharacteristic, complemented
85#16837787C2211yescharacteristic, complemented
86#16837783C2211yescharacteristic, complemented
87#16837769C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic, complemented
89#16837758C2211yescharacteristic, complemented
90#16837755C2211yescharacteristic, complemented
91#16837743C2211yescharacteristic, complemented
92#16837740C2211yescharacteristic, complemented
93#16837739C2211yescharacteristic, complemented
94#16837739C2211yescharacteristic, complemented
95#16837726C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic, complemented
98#16837722C2211yescharacteristic, complemented
99#16837712C2211yescharacteristic, complemented
100#16837712C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837705C2211yescharacteristic, complemented
103#16837661C2211yescharacteristic, complemented
104#16837659C2211yescharacteristic, complemented
105#16837658C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic, complemented
107#16837651C2211yescharacteristic, complemented
108#16837650C2211yescharacteristic, complemented
109#16837649C2211yescharacteristic, complemented
110#16837646C2211yescharacteristic, complemented
111#16837639C2211yescharacteristic, complemented
112#16837637C2211yescharacteristic, complemented
113#16837632C2211yescharacteristic, complemented
114#16837630C2211yescharacteristic, complemented
115#16837627C2211yescharacteristic, complemented
116#16837627C2211yescharacteristic, complemented
117#16837623C2211yescharacteristic, complemented
118#16837623C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic, complemented
120#16837619C2211yescharacteristic, complemented
121#16837616C2211yescharacteristic, complemented
122#16837615C2211yescharacteristic, complemented
123#16837610C2211yescharacteristic, complemented
124#16837606C2211yescharacteristic, complemented
125#16837600C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837567C2211yescharacteristic, complemented
128#16837566C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837564C2211yescharacteristic, complemented
132#16837563C2211yescharacteristic, complemented
133#16837562C2211yescharacteristic, complemented
134#16837562C2211yescharacteristic, complemented
135#16837562C2211yescharacteristic, complemented
136#16837562C2211yescharacteristic, complemented
137#16837562C2211yescharacteristic, complemented
138#16837561C2211yescharacteristic, complemented
139#16837560C2211yescharacteristic, complemented
140#16837559C2211yescharacteristic, complemented
141#16837555C2211yescharacteristic, complemented
142#16837554C2211yescharacteristic, complemented
143#16837549C2211yescharacteristic
144#16837549C2211yescharacteristic, complemented
145#16837547C2211yescharacteristic, complemented
146#16837545C2211yescharacteristic
147#16837545C2211yescharacteristic, complemented
148#16837545C2211yescharacteristic, complemented
149#16837545C2211yescharacteristic, complemented
150#16837545C2211yescharacteristic, complemented
151#16837543C2211yescharacteristic, complemented
152#16837542C2211yescharacteristic, complemented
153#16837542C2211yescharacteristic, complemented
154#16837539C2211yescharacteristic, complemented
155#16837538C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837513C2211yescharacteristic, complemented
160#16837506C2211yescharacteristic, complemented
161#16837505C2211yescharacteristic, complemented
162#16837501C2211yescharacteristic, complemented
163#16837496C2211yescharacteristic, complemented
164#16837493C2211yescharacteristic, complemented
165#16837489C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837477C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837476C2211yescharacteristic, complemented
170#16837476C2211yescharacteristic, complemented
171#16837473C2211yescharacteristic, complemented
172#16837473C2211yescharacteristic, complemented
173C8×C22⋊D59C2211yescharacteristic, complemented
174C8×C22⋊D59C2211yescharacteristic, complemented
175#16837456C2211yescharacteristic, complemented
176#16837452C2211yescharacteristic, complemented
177#16837410C2211yescharacteristic, complemented
178#16837406C2211yescharacteristic, complemented
179#16837402C2211yescharacteristic, complemented
180#16837400C2211yescharacteristic, complemented
181#16837399C2211yescharacteristic, complemented
182#16837399C2211yescharacteristic, complemented
183#103×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837366C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C59×#525C2211yescharacteristic, complemented
189C59×#525C2211yescharacteristic, complemented
190C59×#485C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#482C2211yescharacteristic, complemented
194C59×#467C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#465C2211yescharacteristic, complemented
197C59×#465C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#452C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic, complemented
201C59×#449C2211yescharacteristic, complemented
202C2×C22⋊C8×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685—42no—
208C2×#11745685—42no—
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745687—21no—
215C2×#11745687C2311yescharacteristic
216#41×D59—42no—
217#41×D59—42no—
218C22×Dic118C2311yescharacteristic
219C2×Q8×D59C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C22×D236C2311yescharacteristic
222C22×C22⋊D59—21no—
223C22×C22⋊D59D411yescharacteristic
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C22×C4×D59—21no—
230C22×C4×D59—21no—
231C22×C4×D59C2311yescharacteristic
232#14273757—42no—
233#14273754—42no—
234#14273752—42no—
235#14273751—42no—
236#14273749—42no—
237#14273749—42no—
238C2×Dic236C2311yescharacteristic
239C2×Dic236C2311yescharacteristic
240C2×#11745672C2311yescharacteristic
241C2×#11745672C2311yescharacteristic
242C2×#11745672C2311yescharacteristic
243Q16×D59—42no—
244C2×#11745660C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745660C2311yescharacteristic
247C2×#11745660C2311yescharacteristic
248C2×#11745670C2311yescharacteristic
249C2×#11745670C2311yescharacteristic
250C2×#11745670C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253C2×#11745671C2311yescharacteristic
254SD16×D59—42no—
255C2×D472C2311yescharacteristic
256C2×D472C2311yescharacteristic
257C2×#11745669C2311yescharacteristic
258C2×#11745669C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745664C2311yescharacteristic
261C2×#11745664C2311yescharacteristic
262C2×#11745659C2311yescharacteristic
263C2×#11745659C2311yescharacteristic
264C2×C8×D59C2311yescharacteristic
265C2×C8×D59C2311yescharacteristic
266#14273726—21no—
267#14273725C2311yescharacteristic
268#14273723—21no—
269#14273723C2311yescharacteristic
270#14273722—21no—
271#14273721—21no—
272#14273720—21no—
273#14273720—21no—
274#14273720—21no—
275#14273720—21no—
276#14273719—21no—
277#14273718C2311yescharacteristic
278#14273718C2311yescharacteristic
279#14273717—21no—
280#14273716C2311yescharacteristic
281#14273716C2311yescharacteristic
282#14273714—21no—
283#14273714C2311yescharacteristic
284#14273714C2311yescharacteristic
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273712—21no—
289#14273712—21no—
290#14273711—21no—
291#14273711—21no—
292#14273710—21no—
293#14273710—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709—21no—
297#14273709—21no—
298#14273709—21no—
299#14273709—21no—
300#14273708—21no—
301#14273708—21no—
302#14273707C2311yescharacteristic
303#14273707C2311yescharacteristic
304#14273707C2311yescharacteristic
305#14273706—21no—
306#14273706C2311yescharacteristic
307#14273706C2311yescharacteristic
308#14273705—21no—
309#14273705—21no—
310#14273705—21no—
311#14273705—21no—
312#14273704—21no—
313#14273704—21no—
314#14273704—21no—
315#14273703C2311yescharacteristic
316#14273702—21no—
317#14273702C2311yescharacteristic
318#14273702C2311yescharacteristic
319#14273702C2311yescharacteristic
320#14273701C2311yescharacteristic
321#14273701C2311yescharacteristic
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273700—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699—21no—
332#14273699—21no—
333#14273699—21no—
334#14273699—21no—
335#14273698—21no—
336#14273698—21no—
337#14273698—21no—
338#14273698—21no—
339#14273698C2311yescharacteristic
340#14273697—21no—
341#14273697—21no—
342#14273697—21no—
343#14273696—21no—
344#14273695—21no—
345#14273695—21no—
346#14273695—21no—
347#14273695—21no—
348Q8×Dic59C2311yescharacteristic
349#14273692C2311yescharacteristic
350#14273692C2311yescharacteristic
351#14273692C2311yescharacteristic
352C4×D236—21no—
353C4×D236—21no—
354C4×D236—21no—
355D4×Dic59—21no—
356D4×Dic59—21no—
357D4×Dic59C2311yescharacteristic
358#14273689—21no—
359#14273689—21no—
360#14273689C2311yescharacteristic
361#14273689C2311yescharacteristic
362#14273689C2311yescharacteristic
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59D411yescharacteristic
369C4×C22⋊D59D411yescharacteristic
370C4×C22⋊D59D411yescharacteristic
371C4×C22⋊D59D411yescharacteristic
372C4×C22⋊D59C2311yescharacteristic
373C4×C22⋊D59C2311yescharacteristic
374C4×C22⋊D59C2311yescharacteristic
375C4×C22⋊D59C2311yescharacteristic
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381(C22⋊D59)⋊C4—21no—
382#14273686C2311yescharacteristic
383#14273685—21no—
384#14273685—21no—
385#14273684—21no—
386#14273684—21no—
387#14273683—21no—
388C2×Dic59⋊C4D411yescharacteristic
389C4⋊C4×D59—21no—
390C4⋊C4×D59—21no—
391C4⋊C4×D59C2311yescharacteristic
392C4⋊C4×D59C2311yescharacteristic
393C2×C22⋊Dic59D411yescharacteristic
394C2×(C2×D59)⋊C4—21no—
395C2×(C2×D59)⋊C4D411yescharacteristic
396C22⋊C4×D59—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59—21no—
401C2×C4×Dic59C2311yescharacteristic
402C42×D59—21no—
403#14273660C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273658C2311yescharacteristic
406#14273658C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437C22⋊(C59⋊C8)C2311yescharacteristic
438C22⋊(C59⋊C8)C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443#14273637C2311yescharacteristic
444#14273637C2311yescharacteristic
445C8×Dic59C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C23×C4×C59C2311yescharacteristic
450C2×Q16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C22×C8×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456#123×C59—21no—
457#123×C59—21no—
458C22⋊Q8×C59C2311yescharacteristic
459C22⋊Q8×C59C2311yescharacteristic
460C22⋊Q8×C59C2311yescharacteristic
461C22⋊Q8×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466#120×C59—21no—
467#120×C59—21no—
468C4×D4×C59—21no—
469C4×D4×C59—21no—
470C4×D4×C59—21no—
471C4×D4×C59—21no—
472#117×C59C2311yescharacteristic
473#117×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#107×C59C2311yescharacteristic
476#106×C59C2311yescharacteristic
477#106×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C24×C59C2×D411yescharacteristic
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59C2×D411yescharacteristic
495#41×C59—41no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499C2×Q8×C59C2411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—41no—
512C22×C4×C59—41no—
513C22×C4×C59C2×D411yescharacteristic
514C22×C4×C59C2×D411yescharacteristic
515C22×C4×C59C2×D411yescharacteristic
516C22×C4×C59C2411yescharacteristic
517C22×C4×C59C2411yescharacteristic
518C22×C4×C59C2411yescharacteristic
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—42no—
533C2×C22⋊D59—44no—
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C2×C22⋊D59C2×D411yescharacteristic
537C2×C22⋊D59C2×D411yescharacteristic
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59—21no—
541C22×Dic59C2×D411yescharacteristic
542C22×Dic59C2×D411yescharacteristic
543C22×Dic59C2×D411yescharacteristic
544#11745689—22no—
545#11745689—41no—
546Q8×D59—22no—
547Q8×D59—41no—
548Q8×D59—41no—
549Q8×D59—41no—
550#11745687—22no—
551#11745687—41no—
552#11745687—44no—
553D4×D59—22no—
554D4×D59—41no—
555D4×D59—41no—
556D4×D59—41no—
557D4×D59—44no—
558D4×D59—44no—
559D4×D59—44no—
560#11745685—22no—
561#11745685—22no—
562#11745685—22no—
563#11745685—22no—
564#11745685—41no—
565#11745685—41no—
566#11745685—41no—
567#11745685—41no—
568#11745685—41no—
569#11745685—41no—
570#11745685—44no—
571#11745685—44no—
572#11745685—44no—
573C2×D236—22no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—21no—
579C2×D236—41no—
580C2×D236C2411yescharacteristic
581C2×D236C2411yescharacteristic
582C2×D236C2411yescharacteristic
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—41no—
597C2×C4×D59—41no—
598C2×C4×D59—44no—
599C2×C4×D59—44no—
600C2×C4×D59C2×D411yescharacteristic
601C2×C4×D59C2×D411yescharacteristic
602C2×C4×D59C2411yescharacteristic
603C2×C4×D59C2411yescharacteristic
604C2×Dic118—22no—
605C2×Dic118—21no—
606C2×Dic118—21no—
607C2×Dic118—21no—
608C2×Dic118—41no—
609C2×Dic118C2411yescharacteristic
610C2×Dic118C2411yescharacteristic
611C2×Dic118C2411yescharacteristic
612Q16×C59—41no—
613SD16×C59—41no—
614SD16×C59—41no—
615D8×C59—41no—
616C2×C8×C59—41no—
617C2×C8×C59—41no—
618C2×C8×C59C2411yescharacteristic
619C2×C8×C59C2411yescharacteristic
620C2×C8×C59C2411yescharacteristic
621C2×C8×C59C2411yescharacteristic
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59—21no—
626C4⋊C4×C59C2411yescharacteristic
627C4⋊C4×C59C2411yescharacteristic
628C4⋊C4×C59C2411yescharacteristic
629C4⋊C4×C59C2411yescharacteristic
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C42×C59—21no—
641C42×C59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59C2×D411yescharacteristic
652C22⋊Dic59C2×D411yescharacteristic
653C22⋊Dic59C2×D411yescharacteristic
654C22⋊Dic59C2×D411yescharacteristic
655#11745672—22no—
656#11745672—41no—
657#11745672—41no—
658#11745671—22no—
659#11745671—41no—
660#11745671—41no—
661#11745670—22no—
662#11745670—41no—
663#11745670—41no—
664#11745669—22no—
665#11745669—41no—
666#11745669—41no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4C2×D411yescharacteristic
684(C2×D59)⋊C4C2×D411yescharacteristic
685(C2×D59)⋊C4C2×D411yescharacteristic
686(C2×D59)⋊C4C2×D411yescharacteristic
687C4⋊Dic59—21no—
688C4⋊Dic59—21no—
689C4⋊Dic59—21no—
690C4⋊Dic59—21no—
691C4⋊Dic59—21no—
692C4⋊Dic59—21no—
693C4⋊Dic59C2411yescharacteristic
694C4⋊Dic59C2411yescharacteristic
695Dic59⋊C4—21no—
696Dic59⋊C4—21no—
697Dic59⋊C4—21no—
698Dic59⋊C4—21no—
699Dic59⋊C4—21no—
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4C2×D411yescharacteristic
708Dic59⋊C4C2×D411yescharacteristic
709Dic59⋊C4C2×D411yescharacteristic
710Dic59⋊C4C2×D411yescharacteristic
711C4×Dic59—21no—
712C4×Dic59—21no—
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59C2×D411yescharacteristic
717C4×Dic59C2×D411yescharacteristic
718C4×Dic59C2411yescharacteristic
719C4×Dic59C2411yescharacteristic
720#11745664—41no—
721#11745664—41no—
722C2×C59⋊C8C2411yescharacteristic
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726Dic236—22no—
727Dic236—41no—
728D472—22no—
729D472—41no—
730#11745660—22no—
731#11745660—22no—
732#11745660—41no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—41no—
741C23×C59—41no—
742C23×C59—41no—
743C23×C59C22×D411yescharacteristic
744C23×C59C22×D411yescharacteristic
745C23×C59C22×D411yescharacteristic
746C22×D59—21no—
747C22×D59—22no—
748C22×D59—21no—
749C22×D59—21no—
750C22×D59—41no—
751C22×D59—41no—
752C22×D59—42no—
753C22×D59—42no—
754C22×D59—42no—
755C22×D59—42no—
756C22×D59—42no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767D4×C59—21no—
768D4×C59—21no—
769D4×C59—21no—
770D4×C59—21no—
771D4×C59—42no—
772D4×C59—42no—
773D4×C59—42no—
774D4×C59—81no—
775D4×C59—81no—
776D4×C59—81no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—41no—
790C2×C4×C59—41no—
791C2×C4×C59—41no—
792C2×C4×C59—42no—
793C2×C4×C59—81no—
794C2×C4×C59C22×D411yescharacteristic
795C2×C4×C59C22×D411yescharacteristic
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C2511yescharacteristic
798C22⋊D59—24no—
799C22⋊D59—22no—
800C22⋊D59—22no—
801C22⋊D59—41no—
802C22⋊D59—41no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—42no—
809C22⋊D59—42no—
810C22⋊D59—42no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C22⋊D59—81no—
814C22⋊D59—81no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—41no—
821C2×Dic59—41no—
822C2×Dic59—41no—
823C2×Dic59—42no—
824C2×Dic59—42no—
825C2×Dic59—81no—
826C2×Dic59C22×D411yescharacteristic
827C2×Dic59C22×D411yescharacteristic
828C2×Dic59C22×D411yescharacteristic
829C2×Dic59C22×D411yescharacteristic
830C2×Dic59C22×D411yescharacteristic
831C2×Dic59C22×D411yescharacteristic
832D236—21no—
833D236—21no—
834D236—21no—
835D236—21no—
836D236—21no—
837D236—42no—
838D236—42no—
839D236—42no—
840D236—42no—
841D236—81no—
842D236H(5,𝔽2)12yes—
843C4×D59—24no—
844C4×D59—21no—
845C4×D59—21no—
846C4×D59—21no—
847C4×D59—21no—
848C4×D59—41no—
849C4×D59—41no—
850C4×D59—42no—
851C4×D59—42no—
852C4×D59—42no—
853C4×D59—42no—
854C4×D59—42no—
855C4×D59—42no—
856C4×D59—42no—
857C4×D59—81no—
858C4×D59—81no—
859C4×D59—81no—
860C4×D59—81no—
861C4×D59—81no—
862Dic118—21no—
863Dic118—21no—
864Dic118—21no—
865Dic118—21no—
866Dic118—21no—
867Dic118—42no—
868Dic118—42no—
869Dic118—81no—
870Dic118H(5,𝔽2)12yes—
871C8×C59—21no—
872C8×C59—21no—
873C8×C59—21no—
874C8×C59—21no—
875C59⋊C8—21no—
876C59⋊C8—21no—
877C59⋊C8—21no—
878C59⋊C8—21no—
879#61606—591nomaximal, Sylow
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—21no—
884C22×C59—21no—
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—41no—
890C22×C59—41no—
891C22×C59—41no—
892C22×C59—41no—
893C22×C59—41no—
894C22×C59—41no—
895C22×C59—82no—
896C22×C59C23×D411yescharacteristic
897C2×D59—21no—
898C2×D59—21no—
899C2×D59—21no—
900C2×D59—22no—
901C2×D59—21no—
902C2×D59—21no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—41no—
906C2×D59—41no—
907C2×D59—41no—
908C2×D59—41no—
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—82no—
912C2×D59—84no—
913C2×D59—84no—
914C2×D59—162no—
915C2×D59#57512yes—
916C4×C59—21no—
917C4×C59—21no—
918C4×C59—21no—
919C4×C59—41no—
920C4×C59—41no—
921C4×C59—41no—
922C4×C59—41no—
923C4×C59—41no—
924C4×C59—41no—
925C4×C59C2×H(5,𝔽2)11yescharacteristic
926C4×C59C2×H(5,𝔽2)11yescharacteristic
927Dic59—21no—
928Dic59—21no—
929Dic59—22no—
930Dic59—21no—
931Dic59—21no—
932Dic59—21no—
933Dic59—21no—
934Dic59—41no—
935Dic59—41no—
936Dic59—41no—
937Dic59—41no—
938#3505—591no—
939D4×#41—591no—
940#3327—591no—
941#3323—591no—
942#3320—591no—
943#3318—591no—
944#3317—591no—
945#3315—591no—
946#3301—591no—
947#3297—591no—
948#3285—591no—
949#3282—591no—
950#3275—591no—
951#3273—591no—
952#3270—591no—
953#3268—591no—
954#3267—591no—
955#3265—591no—
956#3219—591no—
957#3212—591no—
958#3197—591no—
959#3196—591no—
960#3191D5911yescharacteristic, complemented
961#3188—591no—
962#3111—591no—
963#3102—591no—
964#3006—591no—
965#3005—591no—
966#3002—591no—
967C2×#452—591no—
968#2974—591no—
969C2×C59—41no—
970C2×C59—41no—
971C2×C59—41no—
972C2×C59—81no—
973C2×C59—81no—
974C2×C59#348411yescharacteristic
975C2×C59C2×#57511yescharacteristic
976C2×C59#358411yescharacteristic
977D59—22no—
978D59—41no—
979D59—42no—
980D59—81no—
981D59—81no—
982C22×#41—591no—
983C22×#41—591no—
984C2×#137—591no—
985C2×AGL(1,ℤ/8)—591no—
986C2×AGL(1,ℤ/8)—591no—
987C2×AGL(1,ℤ/8)—591no—
988C2×#135—591no—
989C2×#135—591no—
990C22×Q16—591no—
991C22×SD16—591no—
992#553—591no—
993#553—591no—
994#553—1181no—
995#553—1181no—
996#552—591no—
997#552—591no—
998#551—1181no—
999#551—1181no—
1000#550—591no—
1001D4×Q8—591no—
1002#548—591no—
1003#548—591no—
1004#548—591no—
1005#548—591no—
1006#547—591no—
1007#547—1181no—
1008#546—591no—
1009#546—591no—
1010#546—591no—
1011#546—591no—
1012#546—1181no—
1013#546—1181no—
1014D42—591no—
1015D42—1181no—
1016#539—1181no—
1017#538—1181no—
1018#534—1181no—
1019#532—591no—
1020#532—1181no—
1021#529—591no—
1022#529—591no—
1023#525—591no—
1024#525—591no—
1025#525—1181no—
1026#525—1181no—
1027#525C2×D5911yescharacteristic, complemented
1028#525C2×D5911yescharacteristic, complemented
1029C2×C22⋊Q8—591no—
1030C2×#121—591no—
1031#518—1181no—
1032C4×#41—591no—
1033C2×C4×D4—591no—
1034C2×C4×D4—1181no—
1035#497—591no—
1036#496—591no—
1037#495—591no—
1038#495—591no—
1039#491—591no—
1040#490—591no—
1041#488—591no—
1042#488—591no—
1043#485—591no—
1044#485—591no—
1045#485C2×D5911yescharacteristic, complemented
1046#485C2×D5911yescharacteristic, complemented
1047#484—591no—
1048#484—591no—
1049#482—591no—
1050#482—591no—
1051#482C2×D5911yescharacteristic, complemented
1052#482C2×D5911yescharacteristic, complemented
1053#481—591no—
1054#481—591no—
1055#479—591no—
1056#479—591no—
1057#478—591no—
1058#478—591no—
1059#470—591no—
1060#470—591no—
1061#470—591no—
1062#469—591no—
1063#468—591no—
1064#468—591no—
1065#468—591no—
1066#468—591no—
1067#467C2×D5911yescharacteristic, complemented
1068#466—591no—
1069#466—591no—
1070#466C2×D5911yescharacteristic, complemented
1071#465—591no—
1072#465—591no—
1073#465C2×D5911yescharacteristic, complemented
1074#465C2×D5911yescharacteristic, complemented
1075#464—591no—
1076#464—591no—
1077#464—591no—
1078#464—591no—
1079#463—591no—
1080#463—591no—
1081#463—591no—
1082#463—591no—
1083#462—591no—
1084#461—591no—
1085#460—591no—
1086#459—591no—
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452—591no—
1092#452—591no—
1093#452—591no—
1094#452—591no—
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#452—591no—
1099#452C2×D5911yescharacteristic, complemented
1100#452C2×D5911yescharacteristic, complemented
1101#451—591no—
1102#451—591no—
1103#450—591no—
1104#450—591no—
1105#449—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449C2×D5911yescharacteristic, complemented
1114#449C2×D5911yescharacteristic, complemented
1115#448—591no—
1116#448—591no—
1117#448—591no—
1118#448—591no—
1119#447—591no—
1120#447—591no—
1121#447—591no—
1122#447—591no—
1123#442—591no—
1124#441—591no—
1125#440—591no—
1126#440—591no—
1127C4×Q16—591no—
1128C4×SD16—591no—
1129C4×SD16—591no—
1130C4×D8—591no—
1131#436—591no—
1132#436—591no—
1133#435—591no—
1134#435—591no—
1135#435—591no—
1136#435—591no—
1137C8×D4—591no—
1138C8×D4—591no—
1139#432—591no—
1140#431—591no—
1141#419—591no—
1142#418—591no—
1143#417—591no—
1144#417—591no—
1145#416—591no—
1146#416—591no—
1147C2×#103—591no—
1148C2×#102—591no—
1149#407—591no—
1150#407—591no—
1151C2×C22⋊C8—591no—
1152C2×C22⋊C8C2×D5911yescharacteristic, complemented
1153C59#6160611yescharacteristic, complemented, Sylow
1154C2×#41—591no—
1155C2×#41—591no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—591no—
1160C2×#41—591no—
1161C2×#41—1181no—
1162C2×#41—1181no—
1163C2×#41—1181no—
1164C2×#41—1181no—
1165C2×#41—2362no—
1166C2×#41—2362no—
1167C2×#41—2362no—
1168C2×#41—2362no—
1169C2×#41C22×D5911yescharacteristic
1170C2×#41C22×D5911yescharacteristic
1171C22×Q8—591no—
1172C22×Q8—591no—
1173C22×Q8—591no—
1174C22×D4—591no—
1175C22×D4—591no—
1176C22×D4—591no—
1177C22×D4—591no—
1178C22×D4—1181no—
1179C22×D4—1181no—
1180C22×D4—1181no—
1181C22×D4—1181no—
1182C23×C4—591no—
1183C23×C4—1181no—
1184C23×C4—1181no—
1185C23×C4C22×D5911yescharacteristic
1186#137—2362no—
1187AGL(1,ℤ/8)—2362no—
1188AGL(1,ℤ/8)—2362no—
1189AGL(1,ℤ/8)—2362no—
1190#135—2362no—
1191#135—2362no—
1192C2×Q16—591no—
1193C2×Q16—591no—
1194C2×Q16—591no—
1195C2×Q16—591no—
1196C2×Q16—591no—
1197C2×Q16—2362no—
1198C2×Q16C22×D5911yescharacteristic
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—2362no—
1210C2×SD16C22×D5911yescharacteristic
1211C2×SD16C22×D5911yescharacteristic
1212C2×D8—591no—
1213C2×D8—591no—
1214C2×D8—591no—
1215C2×D8—591no—
1216C2×D8—591no—
1217C2×D8C22×D5911yescharacteristic
1218C2×M16—591no—
1219C2×M16—591no—
1220C2×M16—591no—
1221C2×M16—591no—
1222C22×C8—591no—
1223C22×C8—591no—
1224C22×C8C22×D5911yescharacteristic
1225C22×C8C22×D5911yescharacteristic
1226C4⋊Q8—591no—
1227C4⋊Q8—1181no—
1228#127—591no—
1229#127—1181no—
1230#126—1181no—
1231#126—1181no—
1232#126—1181no—
1233#126—1181no—
1234#126—1181no—
1235#126—1181no—
1236#125—591no—
1237#125—591no—
1238#125—1181no—
1239#125—1181no—
1240#124—591no—
1241#124—591no—
1242#124—591no—
1243#124—591no—
1244#124—1181no—
1245#124—1181no—
1246#124—1181no—
1247#124—1181no—
1248#123—21no—
1249#123—21no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264C22⋊Q8—591no—
1265C22⋊Q8—591no—
1266C22⋊Q8—591no—
1267C22⋊Q8—591no—
1268C22⋊Q8—591no—
1269C22⋊Q8—591no—
1270C22⋊Q8—1181no—
1271C22⋊Q8—1181no—
1272C22⋊Q8—1181no—
1273C22⋊Q8—1181no—
1274C22⋊Q8—1181no—
1275C22⋊Q8—1181no—
1276C22⋊Q8—1181no—
1277C22⋊Q8—1181no—
1278C22⋊Q8C22×D5911yescharacteristic
1279C22⋊Q8C22×D5911yescharacteristic
1280C22⋊Q8C22×D5911yescharacteristic
1281C22⋊Q8C22×D5911yescharacteristic
1282#121—591no—
1283#121—591no—
1284#121—591no—
1285#121—591no—
1286#121—591no—
1287#121—591no—
1288#121—1181no—
1289#121—1181no—
1290#121—1181no—
1291#121—1181no—
1292#121—1181no—
1293#121—1181no—
1294#121—1181no—
1295#121—1181no—
1296#121—1181no—
1297#121—1181no—
1298#121—1181no—
1299#121—1181no—
1300#121—1181no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121C22×D5911yescharacteristic
1307#121C22×D5911yescharacteristic
1308#121C22×D5911yescharacteristic
1309#121C22×D5911yescharacteristic
1310#120—21no—
1311#120—21no—
1312#120—1181no—
1313#120—1181no—
1314#120—1181no—
1315#120—1181no—
1316#120—1181no—
1317#120—1181no—
1318#120—1181no—
1319#120—1181no—
1320C4×Q8—591no—
1321C4×Q8—591no—
1322C4×Q8—591no—
1323C4×Q8—591no—
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—591no—
1329C4×D4—591no—
1330C4×D4—591no—
1331C4×D4—591no—
1332C4×D4—591no—
1333C4×D4—591no—
1334C4×D4—591no—
1335C4×D4—591no—
1336C4×D4—591no—
1337C4×D4—591no—
1338C4×D4—591no—
1339C4×D4—591no—
1340C4×D4—1181no—
1341C4×D4—1181no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4—1181no—
1350C4×D4—1181no—
1351C4×D4—1181no—
1352C4×D4—1181no—
1353C4×D4—1181no—
1354C4×D4—1181no—
1355C4×D4—1181no—
1356C4×D4—1181no—
1357C4×D4—1181no—
1358#117—591no—
1359#117—1181no—
1360#117—1181no—
1361#117—1181no—
1362#117—1181no—
1363#117—1181no—
1364#117C22×D5911yescharacteristic
1365#117C22×D5911yescharacteristic
1366C2×C4⋊C4—591no—
1367C2×C4⋊C4—591no—
1368C2×C4⋊C4—591no—
1369C2×C4⋊C4—1181no—
1370C2×C4⋊C4—1181no—
1371C2×C22⋊C4—591no—
1372C2×C22⋊C4—591no—
1373C2×C22⋊C4—1181no—
1374C2×C22⋊C4—1181no—
1375C2×C22⋊C4—1181no—
1376C2×C22⋊C4—1181no—
1377C2×C22⋊C4—1181no—
1378C2×C22⋊C4—1181no—
1379C2×C42—591no—
1380C2×C42—1181no—
1381#107—591no—
1382#107—591no—
1383#107C22×D5911yescharacteristic
1384#107C22×D5911yescharacteristic
1385#106—591no—
1386#106—591no—
1387#106C22×D5911yescharacteristic
1388#106C22×D5911yescharacteristic
1389C4⋊C8—591no—
1390C4⋊C8—591no—
1391C4⋊C8—591no—
1392C4⋊C8—591no—
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103—591no—
1398#103—591no—
1399#103—591no—
1400#103—591no—
1401#103—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103C22×D5911yescharacteristic
1406#103C22×D5911yescharacteristic
1407#103C22×D5911yescharacteristic
1408#103C22×D5911yescharacteristic
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102C22×D5911yescharacteristic
1422#102C22×D5911yescharacteristic
1423#102C22×D5911yescharacteristic
1424#102C22×D5911yescharacteristic
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8—591no—
1429C22⋊C8—591no—
1430C22⋊C8—591no—
1431C22⋊C8—591no—
1432C22⋊C8—591no—
1433C22⋊C8C22×D5911yescharacteristic
1434C22⋊C8C22×D5911yescharacteristic
1435C22⋊C8C22×D5911yescharacteristic
1436C22⋊C8C22×D5911yescharacteristic
1437#97—591no—
1438#97—591no—
1439C4×C8—591no—
1440C4×C8—591no—
1441C24—591no—
1442C24—1181no—
1443C24—1181no—
1444C24—1181no—
1445C24D4×D5911yescharacteristic
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—1182no—
1451#41—1182no—
1452#41—1182no—
1453#41—1182no—
1454#41—1182no—
1455#41—1182no—
1456#41—2361no—
1457#41—2361no—
1458#41—2361no—
1459#41—2361no—
1460#41—2361no—
1461#41—2361no—
1462#41—2364no—
1463#41—2364no—
1464#41—2364no—
1465#41—2361no—
1466#41—2361no—
1467#41—2364no—
1468C2×Q8—591no—
1469C2×Q8—591no—
1470C2×Q8—591no—
1471C2×Q8—1181no—
1472C2×Q8—1181no—
1473C2×Q8—1182no—
1474C2×Q8—1181no—
1475C2×Q8—1182no—
1476C2×Q8—2361no—
1477C2×Q8—2361no—
1478C2×Q8—2361no—
1479C2×Q8—2361no—
1480C2×Q8C23×D5911yescharacteristic
1481C2×Q8C23×D5911yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—591no—
1489C2×D4—591no—
1490C2×D4—591no—
1491C2×D4—591no—
1492C2×D4—591no—
1493C2×D4—591no—
1494C2×D4—591no—
1495C2×D4—1182no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1182no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—2361no—
1516C2×D4—2361no—
1517C2×D4—2361no—
1518C2×D4—2361no—
1519C2×D4—2364no—
1520C2×D4—2364no—
1521C2×D4—2364no—
1522C2×D4—2362no—
1523C2×D4—2364no—
1524C2×D4C23×D5911yescharacteristic
1525C2×D4C23×D5911yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—41no—
1529C22×C4—41no—
1530C22×C4—591no—
1531C22×C4—591no—
1532C22×C4—591no—
1533C22×C4—591no—
1534C22×C4—591no—
1535C22×C4—591no—
1536C22×C4—591no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4—1181no—
1551C22×C4—1181no—
1552C22×C4—1181no—
1553C22×C4—2361no—
1554C22×C4—2361no—
1555C22×C4—2364no—
1556C22×C4—2364no—
1557C22×C4D4×D5911yescharacteristic
1558C22×C4D4×D5911yescharacteristic
1559C22×C4D4×D5911yescharacteristic
1560C22×C4C23×D5911yescharacteristic
1561C22×C4C23×D5911yescharacteristic
1562C22×C4C23×D5911yescharacteristic
1563Q16—41no—
1564Q16—1182no—
1565Q16—1182no—
1566Q16—2361no—
1567Q16—2361no—
1568Q16—2361no—
1569SD16—41no—
1570SD16—41no—
1571SD16—1182no—
1572SD16—1182no—
1573SD16—1182no—
1574SD16—1182no—
1575SD16—2361no—
1576SD16—2361no—
1577SD16—2361no—
1578SD16—2361no—
1579SD16—2361no—
1580SD16—2361no—
1581D8—41no—
1582D8—1182no—
1583D8—1182no—
1584D8—2361no—
1585D8—2361no—
1586D8—2361no—
1587M16—2361no—
1588M16—2361no—
1589M16—2361no—
1590M16—2361no—
1591C2×C8—41no—
1592C2×C8—41no—
1593C2×C8—591no—
1594C2×C8—591no—
1595C2×C8—591no—
1596C2×C8—591no—
1597C2×C8—2361no—
1598C2×C8—2361no—
1599C2×C8C23×D5911yescharacteristic
1600C2×C8C23×D5911yescharacteristic
1601C2×C8C23×D5911yescharacteristic
1602C2×C8C23×D5911yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—591no—
1608C4⋊C4—591no—
1609C4⋊C4—591no—
1610C4⋊C4—591no—
1611C4⋊C4—591no—
1612C4⋊C4—591no—
1613C4⋊C4—1181no—
1614C4⋊C4—1181no—
1615C4⋊C4—1181no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4C23×D5911yescharacteristic
1632C4⋊C4C23×D5911yescharacteristic
1633C4⋊C4C23×D5911yescharacteristic
1634C4⋊C4C23×D5911yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—591no—
1646C22⋊C4—591no—
1647C22⋊C4—591no—
1648C22⋊C4—591no—
1649C22⋊C4—591no—
1650C22⋊C4—591no—
1651C22⋊C4—591no—
1652C22⋊C4—591no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C42—21no—
1679C42—21no—
1680C42—591no—
1681C42—591no—
1682C42—591no—
1683C42—591no—
1684C42—1181no—
1685C42—1181no—
1686C42—1181no—
1687C42—1181no—
1688C42—1181no—
1689C23—21no—
1690C23—21no—
1691C23—41no—
1692C23—41no—
1693C23—41no—
1694C23—591no—
1695C23—591no—
1696C23—1182no—
1697C23—1181no—
1698C23—1181no—
1699C23—1181no—
1700C23—4721no—
1701C23—4721no—
1702C23—4721no—
1703C23—4721no—
1704C23—2361no—
1705C23—2361no—
1706C23—2362no—
1707C23—2362no—
1708C23—2362no—
1709C23—2362no—
1710C23—2362no—
1711C23C2×D4×D5911yescharacteristic
1712C23C2×D4×D5911yescharacteristic
1713C23C2×D4×D5911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—592no—
1719Q8—1181no—
1720Q8—1181no—
1721Q8—1181no—
1722Q8—1181no—
1723Q8—1181no—
1724Q8—4721no—
1725Q8—2362no—
1726Q8—2362no—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—42no—
1732D4—42no—
1733D4—42no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—592no—
1738D4—1182no—
1739D4—1182no—
1740D4—1184no—
1741D4—1181no—
1742D4—1181no—
1743D4—1181no—
1744D4—1181no—
1745D4—1181no—
1746D4—4721no—
1747D4—4721no—
1748D4—4721no—
1749D4—4721no—
1750D4—4721no—
1751D4—2362no—
1752D4—2362no—
1753D4—2362no—
1754D4—2362no—
1755D4—2361no—
1756D4—2361no—
1757D4—2362no—
1758D4—2362no—
1759D4—2362no—
1760D4—2362no—
1761D4—2362no—
1762D4—2362no—
1763D4—2362no—
1764D4—2362no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—42no—
1781C2×C4—81no—
1782C2×C4—591no—
1783C2×C4—591no—
1784C2×C4—591no—
1785C2×C4—591no—
1786C2×C4—591no—
1787C2×C4—591no—
1788C2×C4—1184no—
1789C2×C4—1181no—
1790C2×C4—1181no—
1791C2×C4—1181no—
1792C2×C4—1181no—
1793C2×C4—1181no—
1794C2×C4—1181no—
1795C2×C4—1181no—
1796C2×C4—1181no—
1797C2×C4—1181no—
1798C2×C4—4721no—
1799C2×C4—4721no—
1800C2×C4—4721no—
1801C2×C4—4721no—
1802C2×C4—4721no—
1803C2×C4—4721no—
1804C2×C4—2361no—
1805C2×C4—2361no—
1806C2×C4—2362no—
1807C2×C4—2362no—
1808C2×C4—2362no—
1809C2×C4—2362no—
1810C2×C4—2362no—
1811C2×C4—2362no—
1812C2×C4—2362no—
1813C2×C4—2361no—
1814C2×C4—2361no—
1815C2×C4—2361no—
1816C2×C4—2362no—
1817C2×C4—2362no—
1818C2×C4C2×D4×D5911yescharacteristic
1819C2×C4C2×D4×D5911yescharacteristic
1820C2×C4C2×D4×D5911yescharacteristic
1821C2×C4C24×D5911yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1181no—
1827C8—1181no—
1828C8—1181no—
1829C8—1181no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—82no—
1846C22—592no—
1847C22—1181no—
1848C22—1181no—
1849C22—1182no—
1850C22—1181no—
1851C22—1181no—
1852C22—1181no—
1853C22—9442no—
1854C22—4722no—
1855C22—4724no—
1856C22—4724no—
1857C22—2361no—
1858C22—2361no—
1859C22—2361no—
1860C22—2361no—
1861C22—2361no—
1862C22—2361no—
1863C22—2361no—
1864C22—2361no—
1865C22C22×D4×D5911yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—1181no—
1876C4—1181no—
1877C4—1182no—
1878C4—1181no—
1879C4—1181no—
1880C4—1181no—
1881C4—1181no—
1882C4—2361no—
1883C4—2361no—
1884C4—2361no—
1885C4—2361no—
1886C4H(5,𝔽2)×D5911yescharacteristic
1887C4H(5,𝔽2)×D5911yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—81no—
1892C2—81no—
1893C2—1182no—
1894C2—4721no—
1895C2—4721no—
1896C2—2361no—
1897C2—2362no—
1898C2#2143772811yescharacteristic
1899C2#575×D5911yescharacteristic
1900C2#2143886511yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3191C2
socleC22×C59C23×D4
hypercenter#3191D59
hypocenterC59#61606
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3191

Complements

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

NH ≅ G/Ntype
1. #21437924C2semidirect
2. #21437579C2semidirect
3. #21436362C2semidirect
4. #21436310C2semidirect
5. #21436270C2semidirect
6. #21436240C2semidirect
7. #21436228C2semidirect
8. #21436198C2semidirect
9. #21435993C2semidirect
10. #21435941C2semidirect
11. #21435840C2semidirect
12. #21435810C2semidirect
13. #21435725C2semidirect
14. #21435700C2semidirect
15. #21435664C2semidirect
16. #21435633C2semidirect
17. #21435618C2semidirect
18. #21435594C2semidirect
19. #21435131C2semidirect
20. #21435075C2semidirect
21. #21434933C2semidirect
22. #21434930C2semidirect
23. #21434865C2semidirect
24. #21434208C2semidirect
25. #21434109C2semidirect
26. #21433345C2semidirect
27. #21433336C2semidirect
28. #21433318C2semidirect
29. #452×D59C2semidirect
30. #21433127C2semidirect
31. C59×#3191C2semidirect
32. C22×#11745685C22semidirect
34. C2×#14273757C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273752C22semidirect
37. C2×#14273751C22semidirect
38. C2×#14273749C22semidirect
39. C2×#14273749C22semidirect
40. C2×Q16×D59C22semidirect
41. C2×SD16×D59C22semidirect
43. #16838099C22semidirect
46. #16838091C22semidirect
47. #16838086C22semidirect
51. #16838065C22semidirect
52. #16838062C22semidirect
53. #16838062C22semidirect
58. #16838049C22semidirect
59. #16838049C22semidirect
62. #16838040C22semidirect
64. #16838036C22semidirect
70. #16837948C22semidirect
71. #16837938C22semidirect
72. #16837933C22semidirect
74. #16837913C22semidirect
77. C22⋊Q8×D59C22semidirect
78. #121×D59C22semidirect
80. #16837870C22semidirect
83. #16837793C22semidirect
84. #16837790C22semidirect
85. #16837787C22semidirect
86. #16837783C22semidirect
87. #16837769C22semidirect
88. #16837765C22semidirect
89. #16837758C22semidirect
90. #16837755C22semidirect
91. #16837743C22semidirect
92. #16837740C22semidirect
93. #16837739C22semidirect
94. #16837739C22semidirect
95. #16837726C22semidirect
96. #16837723C22semidirect
97. #16837722C22semidirect
98. #16837722C22semidirect
99. #16837712C22semidirect
100. #16837712C22semidirect
101. #16837705C22semidirect
102. #16837705C22semidirect
103. #16837661C22semidirect
104. #16837659C22semidirect
105. #16837658C22semidirect
106. #16837653C22semidirect
107. #16837651C22semidirect
108. #16837650C22semidirect
109. #16837649C22semidirect
110. #16837646C22semidirect
111. #16837639C22semidirect
112. #16837637C22semidirect
113. #16837632C22semidirect
114. #16837630C22semidirect
115. #16837627C22semidirect
116. #16837627C22semidirect
117. #16837623C22semidirect
118. #16837623C22semidirect
119. #16837620C22semidirect
120. #16837619C22semidirect
121. #16837616C22semidirect
122. #16837615C22semidirect
123. #16837610C22semidirect
124. #16837606C22semidirect
125. #16837600C22semidirect
126. #16837596C22semidirect
127. #16837567C22semidirect
128. #16837566C22semidirect
129. #16837566C22semidirect
130. #16837565C22semidirect
131. #16837564C22semidirect
132. #16837563C22semidirect
133. #16837562C22semidirect
134. #16837562C22semidirect
135. #16837562C22semidirect
136. #16837562C22semidirect
137. #16837562C22semidirect
138. #16837561C22semidirect
139. #16837560C22semidirect
140. #16837559C22semidirect
141. #16837555C22semidirect
142. #16837554C22semidirect
144. #16837549C22semidirect
145. #16837547C22semidirect
147. #16837545C22semidirect
148. #16837545C22semidirect
149. #16837545C22semidirect
150. #16837545C22semidirect
151. #16837543C22semidirect
152. #16837542C22semidirect
153. #16837542C22semidirect
154. #16837539C22semidirect
155. #16837538C22semidirect
156. #16837537C22semidirect
157. #16837537C22semidirect
158. #16837534C22semidirect
159. #16837513C22semidirect
160. #16837506C22semidirect
161. #16837505C22semidirect
162. #16837501C22semidirect
163. #16837496C22semidirect
164. #16837493C22semidirect
165. #16837489C22semidirect
166. #16837482C22semidirect
167. #16837477C22semidirect
168. #16837477C22semidirect
169. #16837476C22semidirect
170. #16837476C22semidirect
171. #16837473C22semidirect
172. #16837473C22semidirect
173. C8×C22⋊D59C22semidirect
174. C8×C22⋊D59C22semidirect
175. #16837456C22semidirect
176. #16837452C22semidirect
177. #16837410C22semidirect
178. #16837406C22semidirect
179. #16837402C22semidirect
180. #16837400C22semidirect
181. #16837399C22semidirect
182. #16837399C22semidirect
183. #103×D59C22semidirect
184. #102×D59C22semidirect
185. #16837366C22semidirect
186. #16837364C22semidirect
187. C22⋊C8×D59C22semidirect
188. C59×#525C22semidirect
189. C59×#525C22semidirect
190. C59×#485C22semidirect
191. C59×#485C22semidirect
192. C59×#482C22semidirect
193. C59×#482C22semidirect
194. C59×#467C22semidirect
195. C59×#466C22semidirect
196. C59×#465C22semidirect
197. C59×#465C22semidirect
198. C59×#452C22semidirect
199. C59×#452C22semidirect
200. C59×#449C22semidirect
201. C59×#449C22semidirect
202. C2×C22⋊C8×C59C22semidirect
960. #3191D59semidirect
1027. #525C2×D59semidirect
1028. #525C2×D59semidirect
1045. #485C2×D59semidirect
1046. #485C2×D59semidirect
1051. #482C2×D59semidirect
1052. #482C2×D59semidirect
1067. #467C2×D59semidirect
1070. #466C2×D59semidirect
1073. #465C2×D59semidirect
1074. #465C2×D59semidirect
1099. #452C2×D59semidirect
1100. #452C2×D59semidirect
1113. #449C2×D59semidirect
1114. #449C2×D59semidirect
1152. C2×C22⋊C8C2×D59semidirect
1153. C59#61606semidirect

Maximal subgroups

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

subgroupindex
#214379242
#214375792
#214363622
#214363102
#214362702
#214362402
#214362282
#214361982
#214359932
#214359412
#214358402
#214358102
#214357252
#214357002
#214356642
#214356332
#214356182
#214355942
#214351312
#214350752
#214349332
#214349302
#214348652
#214342082
#214341092
#214333452
#214333362
#214333182
#452×D592
#214331272
C59×#31912
#6160659