Finite Group Databasebeta

← #35611720

Subgroups — #35611720

Order 21248.

1962 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915756C211yesmaximal, characteristic, complemented
2#24915746C211yesmaximal, characteristic, complemented
3#24914668C211yesmaximal, characteristic, complemented
4#24914569C211yesmaximal, characteristic, complemented
5#24914555C211yesmaximal, characteristic, complemented
6#24914525C211yesmaximal, characteristic, complemented
7#24914524C211yesmaximal, characteristic, complemented
8#24914305C211yesmaximal, characteristic, complemented
9#24914105C211yesmaximal, characteristic, complemented
10#24914021C211yesmaximal, characteristic, complemented
11#24914020C211yesmaximal, characteristic, complemented
12#24913975C211yesmaximal, characteristic, complemented
13#24913906C211yesmaximal, characteristic, complemented
14#24913876C211yesmaximal, characteristic, complemented
15#24913846C211yesmaximal, characteristic, complemented
16#24913793C211yesmaximal, characteristic, complemented
17#24913713C211yesmaximal, characteristic, complemented
18#24913683C211yesmaximal, characteristic, complemented
19#24913589C211yesmaximal, characteristic, complemented
20#24913021C211yesmaximal, characteristic, complemented
21#24912804C211yesmaximal, characteristic, complemented
22#24912569C211yesmaximal, characteristic, complemented
23#24912569C211yesmaximal, characteristic, complemented
24#24911671C211yesmaximal, characteristic, complemented
25#24911656C211yesmaximal, characteristic, complemented
26#24911626C211yesmaximal, characteristic, complemented
27#24911581C211yesmaximal, characteristic, complemented
28#24910249C211yesmaximal, characteristic, complemented
29#24910225C211yesmaximal, characteristic, complemented
30#24909844C211yesmaximal, characteristic, complemented
31C83×#2665C211yesmaximal, characteristic, complemented
32C23×C4×D83C2211yescharacteristic
33C2×#14581781C2211yescharacteristic
34C2×#14581781C2211yescharacteristic
35C2×#14581781C2211yescharacteristic
36C2×#14581777C2211yescharacteristic
37C2×#14581777C2211yescharacteristic
38C2×#14581777C2211yescharacteristic, complemented
39C2×#14581776C2211yescharacteristic
40C2×#14581775C2211yescharacteristic
41C2×#14581768C2211yescharacteristic, complemented
42C2×#14581767C2211yescharacteristic
43C2×#14581767C2211yescharacteristic
44C2×#14581767C2211yescharacteristic
45C2×#14581766C2211yescharacteristic
46C2×#14581762C2211yescharacteristic
47C2×#14581762C2211yescharacteristic
48C2×#14581762C2211yescharacteristic
49C2×#14581749C2211yescharacteristic
50C2×#14581749C2211yescharacteristic
51#19127643C2211yescharacteristic, complemented
52#19127643C2211yescharacteristic, complemented
53#19127640C2211yescharacteristic, complemented
54#19127636C2211yescharacteristic, complemented
55#19127634C2211yescharacteristic, complemented
56#19127633C2211yescharacteristic, complemented
57#19127630C2211yescharacteristic
58#19127630C2211yescharacteristic
59#19127630C2211yescharacteristic, complemented
60#19127630C2211yescharacteristic, complemented
61#19127630C2211yescharacteristic, complemented
62#19127628C2211yescharacteristic
63#19127628C2211yescharacteristic
64#19127628C2211yescharacteristic, complemented
65#19127627C2211yescharacteristic
66#19127627C2211yescharacteristic, complemented
67#19127627C2211yescharacteristic, complemented
68#19127627C2211yescharacteristic, complemented
69#19127623C2211yescharacteristic
70#19127623C2211yescharacteristic, complemented
71#19127620C2211yescharacteristic, complemented
72#19127619C2211yescharacteristic
73#19127619C2211yescharacteristic
74#19127619C2211yescharacteristic
75#19127619C2211yescharacteristic, complemented
76#19127619C2211yescharacteristic, complemented
77#19127618C2211yescharacteristic
78#19127618C2211yescharacteristic
79#19127618C2211yescharacteristic
80#19127617C2211yescharacteristic
81#19127617C2211yescharacteristic
82#19127612C2211yescharacteristic
83#19127612C2211yescharacteristic, complemented
84#19127612C2211yescharacteristic, complemented
85#19127611C2211yescharacteristic
86#19127611C2211yescharacteristic
87#19127611C2211yescharacteristic
88#19127611C2211yescharacteristic, complemented
89#19127610C2211yescharacteristic
90#19127610C2211yescharacteristic
91#19127603C2211yescharacteristic, complemented
92#19127603C2211yescharacteristic, complemented
93#19127602C2211yescharacteristic
94#19127602C2211yescharacteristic
95#19127601C2211yescharacteristic
96#19127601C2211yescharacteristic
97#19127601C2211yescharacteristic
98#19127596C2211yescharacteristic, complemented
99#19127595C2211yescharacteristic
100#19127593C2211yescharacteristic
101#19127593C2211yescharacteristic, complemented
102#19127592C2211yescharacteristic, complemented
103#19127592C2211yescharacteristic, complemented
104#19127591C2211yescharacteristic
105#19127591C2211yescharacteristic
106#19127591C2211yescharacteristic, complemented
107#19127590C2211yescharacteristic
108#19127590C2211yescharacteristic
109#19127590C2211yescharacteristic, complemented
110#19127590C2211yescharacteristic, complemented
111#19127590C2211yescharacteristic, complemented
112#19127590C2211yescharacteristic, complemented
113#19127590C2211yescharacteristic, complemented
114#19127589C2211yescharacteristic
115#19127588C2211yescharacteristic, complemented
116#19127586C2211yescharacteristic, complemented
117#19127586C2211yescharacteristic, complemented
118#19127584C2211yescharacteristic, complemented
119#19127584C2211yescharacteristic, complemented
120#19127584C2211yescharacteristic, complemented
121#19127583C2211yescharacteristic, complemented
122#19127582C2211yescharacteristic, complemented
123#19127582C2211yescharacteristic, complemented
124#19127582C2211yescharacteristic, complemented
125#19127579C2211yescharacteristic
126#19127579C2211yescharacteristic
127#19127579C2211yescharacteristic
128#19127579C2211yescharacteristic
129#19127579C2211yescharacteristic
130#19127579C2211yescharacteristic
131#19127579C2211yescharacteristic
132#19127579C2211yescharacteristic
133#19127579C2211yescharacteristic
134#19127579C2211yescharacteristic
135#19127579C2211yescharacteristic
136#19127579C2211yescharacteristic, complemented
137#19127579C2211yescharacteristic, complemented
138#19127579C2211yescharacteristic, complemented
139#19127579C2211yescharacteristic, complemented
140#19127578C2211yescharacteristic
141#19127578C2211yescharacteristic
142#19127577C2211yescharacteristic
143#19127577C2211yescharacteristic
144#19127577C2211yescharacteristic
145#19127575C2211yescharacteristic
146#19127575C2211yescharacteristic
147#19127575C2211yescharacteristic
148#19127575C2211yescharacteristic
149#19127572C2211yescharacteristic, complemented
150#19127572C2211yescharacteristic, complemented
151#19127568C2211yescharacteristic, complemented
152#19127563C2211yescharacteristic
153#19127563C2211yescharacteristic
154#19127562C2211yescharacteristic
155#19127560C2211yescharacteristic
156#19127560C2211yescharacteristic
157#19127559C2211yescharacteristic
158#19127559C2211yescharacteristic
159#19127558C2211yescharacteristic
160#19127558C2211yescharacteristic
161#19127558C2211yescharacteristic, complemented
162#19127556C2211yescharacteristic
163#19127556C2211yescharacteristic
164#19127556C2211yescharacteristic
165#19127552C2211yescharacteristic, complemented
166C4×(C2×D83)⋊C4C2211yescharacteristic
167C4×(C2×D83)⋊C4C2211yescharacteristic
168C4×C22⋊Dic83C2211yescharacteristic
169#19127548C2211yescharacteristic, complemented
170#19127548C2211yescharacteristic, complemented
171#19127548C2211yescharacteristic, complemented
172#400×C83C2211yescharacteristic, complemented
173#400×C83C2211yescharacteristic, complemented
174#396×C83C2211yescharacteristic
175#396×C83C2211yescharacteristic
176#395×C83C2211yescharacteristic, complemented
177#395×C83C2211yescharacteristic, complemented
178#393×C83C2211yescharacteristic
179#393×C83C2211yescharacteristic
180#391×C83C2211yescharacteristic, complemented
181#391×C83C2211yescharacteristic, complemented
182#387×C83C2211yescharacteristic, complemented
183#387×C83C2211yescharacteristic, complemented
184#381×C83C2211yescharacteristic
185#380×C83C2211yescharacteristic
186C4×C22⋊C4×C83C2211yescharacteristic
187C24×D83C2311yescharacteristic
188C22×D332C2311yescharacteristic
189C22×D332C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×D332C2311yescharacteristic
196C22×D332C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C23×Dic83C2311yescharacteristic
201C22×C4×D83—24no—
202C22×C4×D83—42no—
203C22×C4×D83—42no—
204C22×C4×D83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208C22×C4×D83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211#14581781—42no—
212#14581781—42no—
213#14581781—42no—
214#14581777—42no—
215#14581777—42no—
216#14581777—42no—
217#14581776—42no—
218#14581775—24no—
219#14581768—42no—
220#14581767—42no—
221#14581767—42no—
222#14581767—42no—
223#14581766—24no—
224#14581762—42no—
225#14581762—42no—
226#14581762—42no—
227#14581749—42no—
228#14581749—42no—
229C2×C4⋊Dic83C2311yescharacteristic
230C2×C4⋊Dic83C2311yescharacteristic
231C2×C4⋊Dic83C2311yescharacteristic
232C2×C4⋊Dic83C2311yescharacteristic
233C2×C4⋊Dic83C2311yescharacteristic
234C2×Dic83⋊C4C2311yescharacteristic
235C2×Dic83⋊C4C2311yescharacteristic
236C2×Dic83⋊C4C2311yescharacteristic
237C2×Dic83⋊C4C2311yescharacteristic
238C2×Dic83⋊C4C2311yescharacteristic
239C2×Dic83⋊C4C2311yescharacteristic
240C2×Dic83⋊C4C2311yescharacteristic
241C2×Dic83⋊C4C2311yescharacteristic
242C2×Dic83⋊C4C2311yescharacteristic
243C2×Dic83⋊C4C2311yescharacteristic
244C2×Dic83⋊C4C2311yescharacteristic
245C2×C22⋊Dic83C2311yescharacteristic
246C2×C22⋊Dic83C2311yescharacteristic
247C2×C22⋊Dic83C2311yescharacteristic
248C2×(C2×D83)⋊C4C2311yescharacteristic
249C2×(C2×D83)⋊C4C2311yescharacteristic
250C2×(C2×D83)⋊C4C2311yescharacteristic
251C2×(C2×D83)⋊C4C2311yescharacteristic
252C2×(C2×D83)⋊C4C2311yescharacteristic
253C2×(C2×D83)⋊C4C2311yescharacteristic
254C2×(C2×D83)⋊C4C2311yescharacteristic
255C2×(C2×D83)⋊C4C2311yescharacteristic
256C2×(C2×D83)⋊C4C2311yescharacteristic
257C2×(C2×D83)⋊C4C2311yescharacteristic
258C2×(C2×D83)⋊C4C2311yescharacteristic
259C2×(C2×D83)⋊C4C2311yescharacteristic
260C2×(C2×D83)⋊C4C2311yescharacteristic
261C2×(C2×D83)⋊C4C2311yescharacteristic
262C2×(C2×D83)⋊C4C2311yescharacteristic
263C2×(C2×D83)⋊C4C2311yescharacteristic
264C2×(C2×D83)⋊C4C2311yescharacteristic
265C2×(C2×D83)⋊C4C2311yescharacteristic
266C2×(C2×D83)⋊C4C2311yescharacteristic
267C2×(C2×D83)⋊C4C2311yescharacteristic
268C2×(C2×D83)⋊C4C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×C4×Dic83C2311yescharacteristic
294C2×C4×Dic83C2311yescharacteristic
295C2×C4×Dic83C2311yescharacteristic
296C2×C4×Dic83C2311yescharacteristic
297C2×C4×Dic83C2311yescharacteristic
298C2×C4×Dic83C2311yescharacteristic
299C2×C4×Dic83C2311yescharacteristic
300C83⋊#95C2311yescharacteristic
301C83⋊#95C2311yescharacteristic
302C83⋊#95C2311yescharacteristic
303C83⋊#95C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C22×Q8×C83C2311yescharacteristic
329C22×Q8×C83C2311yescharacteristic
330C23×C4×C83C2311yescharacteristic
331C2×C4⋊C4×C83C2311yescharacteristic
332C2×C4⋊C4×C83C2311yescharacteristic
333C2×C4⋊C4×C83C2311yescharacteristic
334C2×C4⋊C4×C83C2311yescharacteristic
335C2×C4⋊C4×C83C2311yescharacteristic
336C2×C4⋊C4×C83C2311yescharacteristic
337C2×C4⋊C4×C83C2311yescharacteristic
338C2×C4⋊C4×C83C2311yescharacteristic
339C2×C22⋊C4×C83C2311yescharacteristic
340C2×C22⋊C4×C83C2311yescharacteristic
341C2×C22⋊C4×C83C2311yescharacteristic
342C2×C22⋊C4×C83C2311yescharacteristic
343C2×C22⋊C4×C83C2311yescharacteristic
344C2×C22⋊C4×C83C2311yescharacteristic
345C2×C42×C83C2311yescharacteristic
346C2×C42×C83C2311yescharacteristic
347#95×C83C2311yescharacteristic
348#95×C83C2311yescharacteristic
349#95×C83C2311yescharacteristic
350#95×C83C2311yescharacteristic
351#95×C83C2311yescharacteristic
352#95×C83C2311yescharacteristic
353#95×C83C2311yescharacteristic
354#95×C83C2311yescharacteristic
355#95×C83C2311yescharacteristic
356#95×C83C2311yescharacteristic
357#95×C83C2311yescharacteristic
358#95×C83C2311yescharacteristic
359#95×C83C2311yescharacteristic
360#95×C83C2311yescharacteristic
361#95×C83C2311yescharacteristic
362#95×C83C2311yescharacteristic
363C23×D83—22no—
364C23×D83—22no—
365C23×D83—22no—
366C23×D83—41no—
367C23×D83—41no—
368C23×D83—41no—
369C23×D83—41no—
370C23×D83C2411yescharacteristic
371C23×D83C2411yescharacteristic
372C23×D83C2411yescharacteristic
373C23×D83C2411yescharacteristic
374C23×D83C2411yescharacteristic
375C2×D332—22no—
376C2×D332—22no—
377C2×D332—22no—
378C2×D332—22no—
379C2×D332—22no—
380C2×D332—22no—
381C2×D332—22no—
382C2×D332—41no—
383C2×D332—41no—
384C2×D332—41no—
385C2×D332—41no—
386C2×D332—41no—
387C2×D332—41no—
388C2×D332—41no—
389C2×D332—41no—
390C2×D332—41no—
391C2×D332—41no—
392C2×D332—41no—
393C2×D332—41no—
394C2×D332—41no—
395C2×D332—41no—
396C2×D332—41no—
397C2×D332—41no—
398C2×D332—41no—
399C2×D332—41no—
400C2×D332—41no—
401C2×D332—41no—
402C2×C22⋊D83—22no—
403C2×C22⋊D83—22no—
404C2×C22⋊D83—22no—
405C2×C22⋊D83—41no—
406C2×C22⋊D83—41no—
407C2×C22⋊D83—41no—
408C2×C22⋊D83—41no—
409C2×C22⋊D83—41no—
410C2×C22⋊D83—41no—
411C22×Dic83—22no—
412C22×Dic83—22no—
413C22×Dic83—41no—
414C22×Dic83C2411yescharacteristic
415C22×Dic83C2411yescharacteristic
416C22×Dic83C2411yescharacteristic
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C2×C4×D83—22no—
426C2×C4×D83—22no—
427C2×C4×D83—22no—
428C2×C4×D83—22no—
429C2×C4×D83—22no—
430C2×C4×D83—22no—
431C2×C4×D83—22no—
432C2×C4×D83—22no—
433C2×C4×D83—416no—
434C2×C4×D83—41no—
435C2×C4×D83—41no—
436C2×C4×D83—41no—
437C2×C4×D83—41no—
438C2×C4×D83—41no—
439C2×C4×D83—41no—
440C2×C4×D83—41no—
441C2×C4×D83—41no—
442C2×C4×D83—41no—
443C2×C4×D83—41no—
444C2×C4×D83—41no—
445C2×C4×D83—41no—
446C2×C4×D83—41no—
447C4⋊Dic83—22no—
448C4⋊Dic83—22no—
449C4⋊Dic83—41no—
450C4⋊Dic83—41no—
451C4⋊Dic83—41no—
452Dic83⋊C4—22no—
453Dic83⋊C4—22no—
454Dic83⋊C4—22no—
455Dic83⋊C4—22no—
456Dic83⋊C4—41no—
457Dic83⋊C4—41no—
458Dic83⋊C4—41no—
459Dic83⋊C4—41no—
460Dic83⋊C4—41no—
461Dic83⋊C4—41no—
462Dic83⋊C4—41no—
463C22⋊Dic83—22no—
464C22⋊Dic83—41no—
465C22⋊Dic83—41no—
466(C2×D83)⋊C4—22no—
467(C2×D83)⋊C4—22no—
468(C2×D83)⋊C4—22no—
469(C2×D83)⋊C4—22no—
470(C2×D83)⋊C4—22no—
471(C2×D83)⋊C4—22no—
472(C2×D83)⋊C4—22no—
473(C2×D83)⋊C4—22no—
474(C2×D83)⋊C4—22no—
475(C2×D83)⋊C4—22no—
476(C2×D83)⋊C4—22no—
477(C2×D83)⋊C4—22no—
478(C2×D83)⋊C4—22no—
479(C2×D83)⋊C4—22no—
480(C2×D83)⋊C4—22no—
481(C2×D83)⋊C4—41no—
482(C2×D83)⋊C4—41no—
483(C2×D83)⋊C4—41no—
484(C2×D83)⋊C4—41no—
485(C2×D83)⋊C4—41no—
486(C2×D83)⋊C4—41no—
487(C2×D83)⋊C4—41no—
488(C2×D83)⋊C4—41no—
489(C2×D83)⋊C4—41no—
490(C2×D83)⋊C4—41no—
491(C2×D83)⋊C4—41no—
492(C2×D83)⋊C4—41no—
493(C2×D83)⋊C4—41no—
494(C2×D83)⋊C4—41no—
495(C2×D83)⋊C4—41no—
496(C2×D83)⋊C4—41no—
497(C2×D83)⋊C4—41no—
498(C2×D83)⋊C4—41no—
499(C2×D83)⋊C4—41no—
500(C2×D83)⋊C4—41no—
501(C2×D83)⋊C4—41no—
502(C2×D83)⋊C4—41no—
503(C2×D83)⋊C4—41no—
504(C2×D83)⋊C4—41no—
505(C2×D83)⋊C4—41no—
506(C2×D83)⋊C4—41no—
507(C2×D83)⋊C4—41no—
508(C2×D83)⋊C4—41no—
509(C2×D83)⋊C4—41no—
510(C2×D83)⋊C4—41no—
511C4×Dic83—41no—
512C4×Dic83—41no—
513C4×Dic83—41no—
514C4×Dic83—41no—
515C4×Dic83—41no—
516C4×Dic83—41no—
517C4×Dic83—41no—
518C24×C83C2411yescharacteristic
519C2×Q8×C83—41no—
520C2×Q8×C83—41no—
521C2×Q8×C83—41no—
522C2×Q8×C83—41no—
523C2×Q8×C83—41no—
524C2×Q8×C83—41no—
525C22×C4×C83—41no—
526C22×C4×C83—41no—
527C22×C4×C83#4114yes—
528C22×C4×C83C2411yescharacteristic
529C22×C4×C83C2411yescharacteristic
530C22×C4×C83C2411yescharacteristic
531C22×C4×C83C2411yescharacteristic
532C22×C4×C83C2411yescharacteristic
533C22×C4×C83C2411yescharacteristic
534C22×C4×C83C2411yescharacteristic
535C22×C4×C83C2411yescharacteristic
536C22×C4×C83C2411yescharacteristic
537C22×C4×C83C2411yescharacteristic
538C22×C4×C83C2411yescharacteristic
539C22×C4×C83C2411yescharacteristic
540C22×C4×C83C2411yescharacteristic
541C22×C4×C83C2411yescharacteristic
542C4⋊C4×C83—41no—
543C4⋊C4×C83—41no—
544C4⋊C4×C83—41no—
545C4⋊C4×C83—41no—
546C4⋊C4×C83—41no—
547C4⋊C4×C83—41no—
548C4⋊C4×C83—41no—
549C4⋊C4×C83—41no—
550C22⋊C4×C83—41no—
551C22⋊C4×C83—41no—
552C22⋊C4×C83—41no—
553C22⋊C4×C83—41no—
554C22⋊C4×C83—41no—
555C22⋊C4×C83—41no—
556C42×C83—41no—
557C42×C83—41no—
558C23×C83—21no—
559C23×C83—21no—
560C23×C83—21no—
561C23×C83—21no—
562C23×C83—21no—
563C23×C83—21no—
564C23×C83C2×#4112yes—
565C23×C83C2511yescharacteristic
566C22×D83—21no—
567C22×D83—21no—
568C22×D83—21no—
569C22×D83—21no—
570C22×D83—21no—
571C22×D83—21no—
572C22×D83—21no—
573C22×D83—21no—
574C22×D83—21no—
575C22×D83—21no—
576C22×D83—21no—
577C22×D83—21no—
578C22×D83—21no—
579C22×D83—21no—
580C22×D83—21no—
581C22×D83—21no—
582C22×D83—21no—
583C22×D83—21no—
584C22×D83—21no—
585C22×D83—21no—
586C22×D83—21no—
587C22×D83—21no—
588C22×D83—21no—
589C22×D83—21no—
590C22×D83—21no—
591C22×D83—21no—
592C22×D83—21no—
593C22×D83—21no—
594C22×D83—21no—
595C22×D83—21no—
596C22×D83—21no—
597C22×D83—21no—
598C22×D83—21no—
599C22×D83—44no—
600C22×D83—44no—
601C22×D83—44no—
602C22×D83—44no—
603C22×D83—44no—
604C22×D83—44no—
605C22×D83—44no—
606C22×D83H(5,𝔽2)12yes—
607C22×D83H(5,𝔽2)12yes—
608Q8×C83—82no—
609Q8×C83—82no—
610C2×C4×C83—21no—
611C2×C4×C83—21no—
612C2×C4×C83—21no—
613C2×C4×C83—21no—
614C2×C4×C83—21no—
615C2×C4×C83—21no—
616C2×C4×C83—21no—
617C2×C4×C83—21no—
618C2×C4×C83—21no—
619C2×C4×C83—21no—
620C2×C4×C83—21no—
621C2×C4×C83—21no—
622C2×C4×C83—21no—
623C2×C4×C83—21no—
624C2×C4×C83—21no—
625C2×C4×C83—21no—
626C2×C4×C83—21no—
627C2×C4×C83—21no—
628C2×C4×C83—21no—
629C2×C4×C83—21no—
630C2×C4×C83—21no—
631C2×C4×C83—21no—
632C2×C4×C83—21no—
633C2×C4×C83—21no—
634C2×C4×C83—21no—
635C2×C4×C83—21no—
636C2×C4×C83—21no—
637C2×C4×C83—21no—
638C2×C4×C83—21no—
639C2×C4×C83—21no—
640C2×C4×C83—21no—
641C2×C4×C83—21no—
642C2×C4×C83—21no—
643C2×C4×C83—21no—
644C2×C4×C83—21no—
645C2×C4×C83—21no—
646C2×C4×C83—21no—
647C2×C4×C83—21no—
648C2×C4×C83—21no—
649C2×C4×C83—21no—
650C2×C4×C83—44no—
651C2×C4×C83C2×#4112yes—
652C2×C4×C83C2×#4112yes—
653C22⋊D83—82no—
654C22⋊D83—82no—
655C22⋊D83—82no—
656C2×Dic83—21no—
657C2×Dic83—21no—
658C2×Dic83—21no—
659C2×Dic83—21no—
660C2×Dic83—21no—
661C2×Dic83—21no—
662C2×Dic83—21no—
663C2×Dic83—21no—
664C2×Dic83—21no—
665C2×Dic83—21no—
666C2×Dic83—21no—
667C2×Dic83—21no—
668C2×Dic83—21no—
669C2×Dic83—21no—
670C2×Dic83—21no—
671C2×Dic83—21no—
672C2×Dic83—21no—
673C2×Dic83—21no—
674C2×Dic83—21no—
675C2×Dic83—21no—
676C2×Dic83—21no—
677C2×Dic83—21no—
678C2×Dic83—21no—
679C2×Dic83—21no—
680C2×Dic83—21no—
681C2×Dic83—21no—
682C2×Dic83—21no—
683C2×Dic83—21no—
684C2×Dic83—21no—
685C2×Dic83—21no—
686C2×Dic83—21no—
687C2×Dic83—21no—
688C2×Dic83—44no—
689C2×Dic83H(5,𝔽2)12yes—
690D332—82no—
691D332—82no—
692D332—82no—
693D332—82no—
694D332—82no—
695D332—82no—
696D332—82no—
697D332—82no—
698D332—82no—
699C4×D83—28no—
700C4×D83—44no—
701C4×D83—44no—
702C4×D83—44no—
703C4×D83—82no—
704C4×D83—82no—
705C4×D83—82no—
706C22×C83—22no—
707C22×C83—22no—
708C22×C83—22no—
709C22×C83—41no—
710C22×C83—41no—
711C22×C83—41no—
712C22×C83—41no—
713C22×C83C22×#4111yescharacteristic
714C22×C83C2×H(5,𝔽2)11yescharacteristic
715C22×C83C2×H(5,𝔽2)11yescharacteristic
716C22×C83C2×H(5,𝔽2)11yescharacteristic
717C22×C83#58511yescharacteristic
718C22×C83#58511yescharacteristic
719C22×C83#58511yescharacteristic
720C2×D83—22no—
721C2×D83—22no—
722C2×D83—22no—
723C2×D83—22no—
724C2×D83—22no—
725C2×D83—22no—
726C2×D83—416no—
727C2×D83—41no—
728C2×D83—41no—
729C2×D83—41no—
730C2×D83—41no—
731C2×D83—41no—
732C2×D83—41no—
733C2×D83—41no—
734C2×D83—41no—
735C2×D83—41no—
736C2×D83—41no—
737C2×D83—41no—
738C2×D83—41no—
739C2×D83—41no—
740C2×D83—41no—
741C2×D83—41no—
742C2×D83—41no—
743C2×D83—41no—
744C2×D83—41no—
745C2×D83—41no—
746C2×D83—41no—
747C2×D83—41no—
748C2×D83—41no—
749C2×D83—41no—
750C2×D83—41no—
751C2×D83—41no—
752C2×D83—41no—
753C2×D83—41no—
754C2×D83—41no—
755C2×D83—41no—
756C4×C83—22no—
757C4×C83—22no—
758C4×C83—41no—
759C4×C83—41no—
760C4×C83—41no—
761C4×C83—41no—
762C4×C83—41no—
763C4×C83—41no—
764C4×C83—41no—
765C4×C83—41no—
766C4×C83—41no—
767C4×C83—41no—
768C4×C83—41no—
769C4×C83—41no—
770Dic83—22no—
771Dic83—41no—
772Dic83—41no—
773Dic83—41no—
774Dic83—41no—
775Dic83—41no—
776Dic83—41no—
777Dic83—41no—
778Dic83—41no—
779Dic83—41no—
780Dic83—41no—
781#36735—831nomaximal, Sylow
782C2×C83—42no—
783C2×C83#345511yescharacteristic
784C2×C83#349011yescharacteristic
785C2×C83#349411yescharacteristic
786C2×C83#353311yescharacteristic
787C2×C83#353411yescharacteristic
788C2×C83#354011yescharacteristic
789C2×C83#354211yescharacteristic
790D83—42no—
791D83—42no—
792D83—81no—
793D83—81no—
794D83—81no—
795#2849—831no—
796#2847—831no—
797#2747—831no—
798#2740—831no—
799#2739—831no—
800#2737—831no—
801#2737—831no—
802#2717—831no—
803#2703—831no—
804#2697—831no—
805#2696—831no—
806#2693—831no—
807#2688—831no—
808#2686—831no—
809#2684—831no—
810#2678—831no—
811#2672—831no—
812#2670—831no—
813#2665D8311yescharacteristic, complemented
814#2661—831no—
815#2597—831no—
816#2578—831no—
817#2557—831no—
818#2557—831no—
819#2477—831no—
820#2476—831no—
821#2474—831no—
822#2471—831no—
823#2335—831no—
824#2333—831no—
825#2280—831no—
826C83#3673511yescharacteristic, complemented, Sylow
827C24×C4—831no—
828C2×#124—831no—
829C2×#124—831no—
830C2×#124—831no—
831C2×#123—831no—
832C2×#123—831no—
833C2×#123—831no—
834C2×#123—831no—
835C2×#123—831no—
836C2×C22⋊Q8—831no—
837C2×#121—831no—
838C2×#121—831no—
839C2×#121—831no—
840C2×#121—831no—
841C2×#120—831no—
842C2×#120—831no—
843C2×#120—831no—
844C2×#117—831no—
845C2×#117—831no—
846#400—831no—
847#400—831no—
848#400—831no—
849#400C2×D8311yescharacteristic, complemented
850#400C2×D8311yescharacteristic, complemented
851#399—831no—
852#398—831no—
853#398—831no—
854#397—831no—
855#397—831no—
856#397—831no—
857#397—831no—
858#397—831no—
859#397—831no—
860#397—831no—
861#397—831no—
862#397—831no—
863#397—831no—
864#397—831no—
865#397—831no—
866#396—831no—
867#396—831no—
868#396C2×D8311yescharacteristic
869#396C2×D8311yescharacteristic
870#395—831no—
871#395C2×D8311yescharacteristic, complemented
872#395C2×D8311yescharacteristic, complemented
873#394—831no—
874#394—831no—
875#394—831no—
876#394—831no—
877#394—831no—
878#394—831no—
879#394—831no—
880#394—831no—
881#394—831no—
882#394—831no—
883#393—831no—
884#393—831no—
885#393—831no—
886#393C2×D8311yescharacteristic
887#393C2×D8311yescharacteristic
888#392—831no—
889#392—831no—
890#392—831no—
891#392—831no—
892#392—831no—
893#392—831no—
894#391C2×D8311yescharacteristic, complemented
895#391C2×D8311yescharacteristic, complemented
896#390—831no—
897#390—831no—
898#390—831no—
899#390—831no—
900#390—831no—
901#390—831no—
902#390—831no—
903#389—831no—
904#388—831no—
905#388—831no—
906#388—831no—
907#388—831no—
908#388—831no—
909#388—831no—
910#388—831no—
911#388—831no—
912#388—831no—
913#388—831no—
914#388—831no—
915#388—831no—
916#388—831no—
917#388—831no—
918#388—831no—
919#388—831no—
920#387—831no—
921#387—831no—
922#387—831no—
923#387—831no—
924#387—831no—
925#387—831no—
926#387—831no—
927#387—831no—
928#387—831no—
929#387—831no—
930#387C2×D8311yescharacteristic, complemented
931#387C2×D8311yescharacteristic, complemented
932#386—831no—
933#386—831no—
934#386—831no—
935#386—831no—
936#386—831no—
937#386—831no—
938#386—831no—
939#386—831no—
940#386—831no—
941#386—831no—
942#386—831no—
943#386—831no—
944#386—831no—
945#386—831no—
946#386—831no—
947#386—831no—
948#386—831no—
949#386—831no—
950#386—831no—
951#386—831no—
952#385—831no—
953#385—831no—
954#385—831no—
955#385—831no—
956#385—831no—
957#385—831no—
958#383—831no—
959#381—831no—
960#381—831no—
961#381—831no—
962#381C2×D8311yescharacteristic
963#380—831no—
964#380—831no—
965#380—831no—
966#380—831no—
967#380—831no—
968#380—831no—
969#380—831no—
970#380C2×D8311yescharacteristic
971#379—831no—
972#379—831no—
973#379—831no—
974C4×C4⋊C4—831no—
975C4×C22⋊C4—831no—
976C4×C22⋊C4—831no—
977C4×C22⋊C4—831no—
978C4×C22⋊C4—831no—
979C4×C22⋊C4—831no—
980C4×C22⋊C4—831no—
981C4×C22⋊C4C2×D8311yescharacteristic
982C25—831no—
983C22×Q8C22×D8311yescharacteristic
984C22×Q8C22×D8311yescharacteristic
985C22×D4—831no—
986C22×D4—831no—
987C22×D4—831no—
988C22×D4—831no—
989C22×D4—831no—
990C22×D4—831no—
991C22×D4—831no—
992C22×D4—831no—
993C22×D4—831no—
994C22×D4—831no—
995C22×D4—831no—
996C22×D4—831no—
997C23×C4—3322no—
998C23×C4—3322no—
999C23×C4—831no—
1000C23×C4—831no—
1001C23×C4—831no—
1002C23×C4—831no—
1003C23×C4—831no—
1004C23×C4—831no—
1005C23×C4—831no—
1006C23×C4—831no—
1007C23×C4—1664no—
1008C23×C4C22×D8311yescharacteristic
1009#124—3322no—
1010#124—3322no—
1011#124—3322no—
1012#123—3322no—
1013#123—3322no—
1014#123—3322no—
1015#123—3322no—
1016#123—1664no—
1017C22⋊Q8—3322no—
1018#121—3322no—
1019#121—3322no—
1020#121—3322no—
1021#121—1664no—
1022#120—3322no—
1023#120—3322no—
1024#120—3322no—
1025#117—3322no—
1026#117—3322no—
1027C2×C4⋊C4—831no—
1028C2×C4⋊C4—831no—
1029C2×C4⋊C4—831no—
1030C2×C4⋊C4—831no—
1031C2×C4⋊C4—831no—
1032C2×C4⋊C4—831no—
1033C2×C4⋊C4—831no—
1034C2×C4⋊C4—831no—
1035C2×C4⋊C4—831no—
1036C2×C4⋊C4—831no—
1037C2×C4⋊C4—831no—
1038C2×C4⋊C4—831no—
1039C2×C4⋊C4—831no—
1040C2×C4⋊C4—831no—
1041C2×C4⋊C4—831no—
1042C2×C4⋊C4—831no—
1043C2×C4⋊C4C22×D8311yescharacteristic
1044C2×C4⋊C4C22×D8311yescharacteristic
1045C2×C4⋊C4C22×D8311yescharacteristic
1046C2×C4⋊C4C22×D8311yescharacteristic
1047C2×C4⋊C4C22×D8311yescharacteristic
1048C2×C4⋊C4C22×D8311yescharacteristic
1049C2×C4⋊C4C22×D8311yescharacteristic
1050C2×C4⋊C4C22×D8311yescharacteristic
1051C2×C22⋊C4—831no—
1052C2×C22⋊C4—831no—
1053C2×C22⋊C4—831no—
1054C2×C22⋊C4—831no—
1055C2×C22⋊C4—831no—
1056C2×C22⋊C4—831no—
1057C2×C22⋊C4—831no—
1058C2×C22⋊C4—831no—
1059C2×C22⋊C4—831no—
1060C2×C22⋊C4—831no—
1061C2×C22⋊C4—831no—
1062C2×C22⋊C4—831no—
1063C2×C22⋊C4—831no—
1064C2×C22⋊C4—831no—
1065C2×C22⋊C4—831no—
1066C2×C22⋊C4—831no—
1067C2×C22⋊C4—831no—
1068C2×C22⋊C4—831no—
1069C2×C22⋊C4—831no—
1070C2×C22⋊C4—831no—
1071C2×C22⋊C4—831no—
1072C2×C22⋊C4—831no—
1073C2×C22⋊C4—831no—
1074C2×C22⋊C4—831no—
1075C2×C22⋊C4—831no—
1076C2×C22⋊C4—831no—
1077C2×C22⋊C4—831no—
1078C2×C22⋊C4—831no—
1079C2×C22⋊C4—831no—
1080C2×C22⋊C4—831no—
1081C2×C22⋊C4—831no—
1082C2×C22⋊C4—831no—
1083C2×C22⋊C4—831no—
1084C2×C22⋊C4—831no—
1085C2×C22⋊C4—831no—
1086C2×C22⋊C4—831no—
1087C2×C22⋊C4—831no—
1088C2×C22⋊C4—831no—
1089C2×C22⋊C4—831no—
1090C2×C22⋊C4—831no—
1091C2×C22⋊C4—831no—
1092C2×C22⋊C4—831no—
1093C2×C22⋊C4—831no—
1094C2×C22⋊C4—831no—
1095C2×C22⋊C4—831no—
1096C2×C22⋊C4—831no—
1097C2×C22⋊C4—831no—
1098C2×C22⋊C4—831no—
1099C2×C22⋊C4C22×D8311yescharacteristic
1100C2×C22⋊C4C22×D8311yescharacteristic
1101C2×C22⋊C4C22×D8311yescharacteristic
1102C2×C22⋊C4C22×D8311yescharacteristic
1103C2×C22⋊C4C22×D8311yescharacteristic
1104C2×C22⋊C4C22×D8311yescharacteristic
1105C2×C42—831no—
1106C2×C42—831no—
1107C2×C42—831no—
1108C2×C42—831no—
1109C2×C42—831no—
1110C2×C42—831no—
1111C2×C42—831no—
1112C2×C42C22×D8311yescharacteristic
1113C2×C42C22×D8311yescharacteristic
1114#95—831no—
1115#95—831no—
1116#95—831no—
1117#95—831no—
1118#95—831no—
1119#95—831no—
1120#95—831no—
1121#95—831no—
1122#95—831no—
1123#95—831no—
1124#95—831no—
1125#95—831no—
1126#95—831no—
1127#95—831no—
1128#95—831no—
1129#95—831no—
1130#95—831no—
1131#95—831no—
1132#95—831no—
1133#95—831no—
1134#95—831no—
1135#95—831no—
1136#95—831no—
1137#95—831no—
1138#95—831no—
1139#95—831no—
1140#95—831no—
1141#95—831no—
1142#95C22×D8311yescharacteristic
1143#95C22×D8311yescharacteristic
1144#95C22×D8311yescharacteristic
1145#95C22×D8311yescharacteristic
1146#95C22×D8311yescharacteristic
1147#95C22×D8311yescharacteristic
1148#95C22×D8311yescharacteristic
1149#95C22×D8311yescharacteristic
1150#95C22×D8311yescharacteristic
1151#95C22×D8311yescharacteristic
1152#95C22×D8311yescharacteristic
1153#95C22×D8311yescharacteristic
1154#95C22×D8311yescharacteristic
1155#95C22×D8311yescharacteristic
1156#95C22×D8311yescharacteristic
1157#95C22×D8311yescharacteristic
1158C24—3321no—
1159C24—3321no—
1160C24—3321no—
1161C24—3321no—
1162C24—831no—
1163C24—831no—
1164C24—831no—
1165C24—831no—
1166C24—831no—
1167C24—1662no—
1168C24—1662no—
1169C24—1662no—
1170C24C23×D8311yescharacteristic
1171C2×Q8—41no—
1172C2×Q8—41no—
1173C2×Q8—41no—
1174C2×Q8—41no—
1175C2×Q8—41no—
1176C2×Q8—41no—
1177C2×D4—3321no—
1178C2×D4—3321no—
1179C2×D4—3321no—
1180C2×D4—3321no—
1181C2×D4—3321no—
1182C2×D4—3321no—
1183C2×D4—3321no—
1184C2×D4—3321no—
1185C2×D4—3321no—
1186C2×D4—3321no—
1187C2×D4—3321no—
1188C2×D4—3321no—
1189C2×D4—3321no—
1190C2×D4—3321no—
1191C2×D4—3321no—
1192C2×D4—3321no—
1193C2×D4—3321no—
1194C2×D4—3321no—
1195C2×D4—3321no—
1196C2×D4—3321no—
1197C2×D4—3321no—
1198C2×D4—3321no—
1199C2×D4—3321no—
1200C2×D4—3321no—
1201C2×D4—3321no—
1202C2×D4—3321no—
1203C2×D4—1662no—
1204C2×D4—1662no—
1205C2×D4—1662no—
1206C2×D4—1662no—
1207C2×D4—1662no—
1208C2×D4—1662no—
1209C2×D4—1662no—
1210C2×D4—1662no—
1211C2×D4—1662no—
1212C2×D4—1662no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—3321no—
1216C22×C4—3321no—
1217C22×C4—3321no—
1218C22×C4—3321no—
1219C22×C4—3321no—
1220C22×C4—3321no—
1221C22×C4—3321no—
1222C22×C4—3321no—
1223C22×C4—3321no—
1224C22×C4—3321no—
1225C22×C4—3321no—
1226C22×C4—3321no—
1227C22×C4—3321no—
1228C22×C4—33216no—
1229C22×C4—3321no—
1230C22×C4—831no—
1231C22×C4—831no—
1232C22×C4—831no—
1233C22×C4—831no—
1234C22×C4—831no—
1235C22×C4—831no—
1236C22×C4—831no—
1237C22×C4—831no—
1238C22×C4—831no—
1239C22×C4—831no—
1240C22×C4—831no—
1241C22×C4—1662no—
1242C22×C4—1662no—
1243C22×C4—1662no—
1244C22×C4—1662no—
1245C22×C4—1662no—
1246C22×C4—1662no—
1247C22×C4—1662no—
1248C22×C4—1662no—
1249C22×C4—1662no—
1250C22×C4—1662no—
1251C22×C4#1305059114yes—
1252C22×C4C23×D8311yescharacteristic
1253C22×C4C23×D8311yescharacteristic
1254C22×C4C23×D8311yescharacteristic
1255C22×C4C23×D8311yescharacteristic
1256C22×C4C23×D8311yescharacteristic
1257C22×C4C23×D8311yescharacteristic
1258C22×C4C23×D8311yescharacteristic
1259C22×C4C23×D8311yescharacteristic
1260C22×C4C23×D8311yescharacteristic
1261C22×C4C23×D8311yescharacteristic
1262C22×C4C23×D8311yescharacteristic
1263C22×C4C23×D8311yescharacteristic
1264C22×C4C23×D8311yescharacteristic
1265C22×C4C23×D8311yescharacteristic
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—3321no—
1275C4⋊C4—3321no—
1276C4⋊C4—3321no—
1277C4⋊C4—3321no—
1278C4⋊C4—3321no—
1279C4⋊C4—3321no—
1280C4⋊C4—3321no—
1281C4⋊C4—3321no—
1282C4⋊C4—3321no—
1283C4⋊C4—3321no—
1284C4⋊C4—1662no—
1285C4⋊C4—1662no—
1286C4⋊C4—1662no—
1287C4⋊C4—1662no—
1288C4⋊C4—1662no—
1289C4⋊C4—1662no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—3321no—
1297C22⋊C4—3321no—
1298C22⋊C4—3321no—
1299C22⋊C4—3321no—
1300C22⋊C4—3321no—
1301C22⋊C4—3321no—
1302C22⋊C4—3321no—
1303C22⋊C4—3321no—
1304C22⋊C4—3321no—
1305C22⋊C4—3321no—
1306C22⋊C4—3321no—
1307C22⋊C4—3321no—
1308C22⋊C4—3321no—
1309C22⋊C4—3321no—
1310C22⋊C4—3321no—
1311C22⋊C4—3321no—
1312C22⋊C4—3321no—
1313C22⋊C4—3321no—
1314C22⋊C4—3321no—
1315C22⋊C4—3321no—
1316C22⋊C4—3321no—
1317C22⋊C4—3321no—
1318C22⋊C4—3321no—
1319C22⋊C4—3321no—
1320C22⋊C4—3321no—
1321C22⋊C4—3321no—
1322C22⋊C4—3321no—
1323C22⋊C4—3321no—
1324C22⋊C4—3321no—
1325C22⋊C4—3321no—
1326C22⋊C4—3321no—
1327C22⋊C4—3321no—
1328C22⋊C4—1662no—
1329C22⋊C4—1662no—
1330C22⋊C4—1662no—
1331C22⋊C4—1662no—
1332C22⋊C4—1662no—
1333C22⋊C4—1662no—
1334C22⋊C4—1662no—
1335C22⋊C4—1662no—
1336C22⋊C4—1662no—
1337C22⋊C4—1662no—
1338C22⋊C4—1662no—
1339C22⋊C4—1662no—
1340C22⋊C4—1662no—
1341C22⋊C4—1662no—
1342C22⋊C4—1662no—
1343C22⋊C4—1662no—
1344C42—41no—
1345C42—41no—
1346C42—3321no—
1347C42—3321no—
1348C42—3321no—
1349C42—3321no—
1350C42—3321no—
1351C42—3321no—
1352C42—3321no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—3324no—
1360C23—3324no—
1361C23—3324no—
1362C23—3324no—
1363C23—3324no—
1364C23—3324no—
1365C23—3324no—
1366C23—832no—
1367C23—832no—
1368C23—1661no—
1369C23—1661no—
1370C23—1661no—
1371C23—1661no—
1372C23—1661no—
1373C23—1661no—
1374C23—1661no—
1375C23—1661no—
1376C23—1661no—
1377C23—1661no—
1378C23—1661no—
1379C23—1661no—
1380C23—1661no—
1381C23—1661no—
1382C23—1661no—
1383C23—1661no—
1384C23—1661no—
1385C23—1661no—
1386C23—1661no—
1387C23—1661no—
1388C23—1661no—
1389C23—1661no—
1390C23—1661no—
1391C23—1661no—
1392C23—1661no—
1393C23—1661no—
1394C23—1661no—
1395C23—1661no—
1396C23—1661no—
1397C23—1661no—
1398C23—1661no—
1399C23—1661no—
1400C23—1661no—
1401C23C2×#1305059112yes—
1402C23C24×D8311yescharacteristic
1403Q8—82no—
1404Q8—82no—
1405D4—6642no—
1406D4—6642no—
1407D4—6642no—
1408D4—6642no—
1409D4—6642no—
1410D4—6642no—
1411D4—6642no—
1412D4—6642no—
1413D4—6642no—
1414D4—6642no—
1415D4—6642no—
1416D4—6642no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—44no—
1458C2×C4—3324no—
1459C2×C4—3324no—
1460C2×C4—3324no—
1461C2×C4—3324no—
1462C2×C4—832no—
1463C2×C4—6642no—
1464C2×C4—6642no—
1465C2×C4—6642no—
1466C2×C4—1668no—
1467C2×C4—1661no—
1468C2×C4—1661no—
1469C2×C4—1661no—
1470C2×C4—1661no—
1471C2×C4—1661no—
1472C2×C4—1661no—
1473C2×C4—1661no—
1474C2×C4—1661no—
1475C2×C4—1661no—
1476C2×C4—1661no—
1477C2×C4—1661no—
1478C2×C4—1661no—
1479C2×C4—1661no—
1480C2×C4—1661no—
1481C2×C4—1661no—
1482C2×C4—1661no—
1483C2×C4—1661no—
1484C2×C4—1661no—
1485C2×C4—1661no—
1486C2×C4—1661no—
1487C2×C4—1661no—
1488C2×C4—1661no—
1489C2×C4—1661no—
1490C2×C4—1661no—
1491C2×C4—1661no—
1492C2×C4—1661no—
1493C2×C4—1661no—
1494C2×C4—1661no—
1495C2×C4—1661no—
1496C2×C4—1661no—
1497C2×C4—1661no—
1498C2×C4—1661no—
1499C2×C4C2×#1305059112yes—
1500C2×C4C2×#1305059112yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—33216no—
1509C22—3321no—
1510C22—3321no—
1511C22—3321no—
1512C22—3321no—
1513C22—3321no—
1514C22—3321no—
1515C22—3321no—
1516C22—3321no—
1517C22—3321no—
1518C22—3321no—
1519C22—3321no—
1520C22—3321no—
1521C22—3321no—
1522C22—3321no—
1523C22—3321no—
1524C22—3321no—
1525C22—3321no—
1526C22—3321no—
1527C22—3321no—
1528C22—3321no—
1529C22—3321no—
1530C22—3321no—
1531C22—3321no—
1532C22—3321no—
1533C22—3321no—
1534C22—3321no—
1535C22—3321no—
1536C22—3321no—
1537C22—3321no—
1538C22—1662no—
1539C22—1662no—
1540C22—1662no—
1541C22—1662no—
1542C22—1662no—
1543C22—1662no—
1544C22C22×#1305059111yescharacteristic
1545C22H(5,𝔽2)×D8311yescharacteristic
1546C22H(5,𝔽2)×D8311yescharacteristic
1547C22H(5,𝔽2)×D8311yescharacteristic
1548C22#1912853711yescharacteristic
1549C22#1912853711yescharacteristic
1550C22#1912853811yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—3321no—
1566C4—3321no—
1567C4—3321no—
1568C4—3321no—
1569C4—3321no—
1570C4—3321no—
1571C4—3321no—
1572C4—3321no—
1573C4—3321no—
1574C4—3321no—
1575C4—1662no—
1576C2—42no—
1577C2—3322no—
1578C2—3322no—
1579C2—6641no—
1580C2—6641no—
1581C2—6641no—
1582C2#2492085511yescharacteristic
1583C2#2492115311yescharacteristic
1584C2#2492120111yescharacteristic
1585C2#2492162611yescharacteristic
1586C2#2492165211yescharacteristic
1587C2#2492172811yescharacteristic
1588C2#2492177811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2665C2
hypercenter#2665D83
hypocenterC83#36735
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2665

Complements

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

NH ≅ G/Ntype
1. #24915756C2semidirect
2. #24915746C2semidirect
3. #24914668C2semidirect
4. #24914569C2semidirect
5. #24914555C2semidirect
6. #24914525C2semidirect
7. #24914524C2semidirect
8. #24914305C2semidirect
9. #24914105C2semidirect
10. #24914021C2semidirect
11. #24914020C2semidirect
12. #24913975C2semidirect
13. #24913906C2semidirect
14. #24913876C2semidirect
15. #24913846C2semidirect
16. #24913793C2semidirect
17. #24913713C2semidirect
18. #24913683C2semidirect
19. #24913589C2semidirect
20. #24913021C2semidirect
21. #24912804C2semidirect
22. #24912569C2semidirect
23. #24912569C2semidirect
24. #24911671C2semidirect
25. #24911656C2semidirect
26. #24911626C2semidirect
27. #24911581C2semidirect
28. #24910249C2semidirect
29. #24910225C2semidirect
30. #24909844C2semidirect
31. C83×#2665C2semidirect
38. C2×#14581777C22semidirect
41. C2×#14581768C22semidirect
51. #19127643C22semidirect
52. #19127643C22semidirect
53. #19127640C22semidirect
54. #19127636C22semidirect
55. #19127634C22semidirect
56. #19127633C22semidirect
59. #19127630C22semidirect
60. #19127630C22semidirect
61. #19127630C22semidirect
64. #19127628C22semidirect
66. #19127627C22semidirect
67. #19127627C22semidirect
68. #19127627C22semidirect
70. #19127623C22semidirect
71. #19127620C22semidirect
75. #19127619C22semidirect
76. #19127619C22semidirect
83. #19127612C22semidirect
84. #19127612C22semidirect
88. #19127611C22semidirect
91. #19127603C22semidirect
92. #19127603C22semidirect
98. #19127596C22semidirect
101. #19127593C22semidirect
102. #19127592C22semidirect
103. #19127592C22semidirect
106. #19127591C22semidirect
109. #19127590C22semidirect
110. #19127590C22semidirect
111. #19127590C22semidirect
112. #19127590C22semidirect
113. #19127590C22semidirect
115. #19127588C22semidirect
116. #19127586C22semidirect
117. #19127586C22semidirect
118. #19127584C22semidirect
119. #19127584C22semidirect
120. #19127584C22semidirect
121. #19127583C22semidirect
122. #19127582C22semidirect
123. #19127582C22semidirect
124. #19127582C22semidirect
136. #19127579C22semidirect
137. #19127579C22semidirect
138. #19127579C22semidirect
139. #19127579C22semidirect
149. #19127572C22semidirect
150. #19127572C22semidirect
151. #19127568C22semidirect
161. #19127558C22semidirect
165. #19127552C22semidirect
169. #19127548C22semidirect
170. #19127548C22semidirect
171. #19127548C22semidirect
172. #400×C83C22semidirect
173. #400×C83C22semidirect
176. #395×C83C22semidirect
177. #395×C83C22semidirect
180. #391×C83C22semidirect
181. #391×C83C22semidirect
182. #387×C83C22semidirect
183. #387×C83C22semidirect
813. #2665D83semidirect
826. C83#36735semidirect
849. #400C2×D83semidirect
850. #400C2×D83semidirect
871. #395C2×D83semidirect
872. #395C2×D83semidirect
894. #391C2×D83semidirect
895. #391C2×D83semidirect
930. #387C2×D83semidirect
931. #387C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157562
#249157462
#249146682
#249145692
#249145552
#249145252
#249145242
#249143052
#249141052
#249140212
#249140202
#249139752
#249139062
#249138762
#249138462
#249137932
#249137132
#249136832
#249135892
#249130212
#249128042
#249125692
#249116712
#249116562
#249116262
#249115812
#249102492
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