Finite Group Databasebeta

← #35566528

Subgroups — #35566528

Order 21248.

2396 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128375C211yesmaximal, characteristic
2#24910592C211yesmaximal, characteristic, complemented
3#24910592C211yesmaximal, characteristic, complemented
4#24910588C211yesmaximal, characteristic, complemented
5#24910579C211yesmaximal, characteristic, complemented
6#24910541C211yesmaximal, characteristic, complemented
7#24910532C211yesmaximal, characteristic, complemented
8#24910491C211yesmaximal, characteristic, complemented
9#24910455C211yesmaximal, characteristic, complemented
10#24910445C211yesmaximal, characteristic
11#24910434C211yesmaximal, characteristic, complemented
12#24910397C211yesmaximal, characteristic, complemented
13#24910357C211yesmaximal, characteristic, complemented
14#24910323C211yesmaximal, characteristic, complemented
15#24910313C211yesmaximal, characteristic, complemented
16#24910306C211yesmaximal, characteristic, complemented
17#24910276C211yesmaximal, characteristic, complemented
18#24910247C211yesmaximal, characteristic, complemented
19#24910238C211yesmaximal, characteristic, complemented
20#24910214C211yesmaximal, characteristic, complemented
21#24910132C211yesmaximal, characteristic, complemented
22#24910123C211yesmaximal, characteristic
23C4×#14581787C211yesmaximal, characteristic, complemented
24C4×#14581769C211yesmaximal, characteristic, complemented
25C4×#14581777C211yesmaximal, characteristic, complemented
26#24909956C211yesmaximal, characteristic, complemented
27#24909904C211yesmaximal, characteristic, complemented
28C2×#19127591C211yesmaximal, characteristic, complemented
29#24909815C211yesmaximal, characteristic, complemented
30C4×(C22⋊D83)⋊C4C211yesmaximal, characteristic, complemented
31C83×#2274C211yesmaximal, characteristic, complemented
32#19128375C4116yescomplemented
33C2×#14581787C2211yescharacteristic
34C2×#14581786C2211yescharacteristic
35C2×#14581780C2211yescharacteristic
36C2×#14581777C2211yescharacteristic
37C2×#14581777C2211yescharacteristic
38C2×#14581775C2211yescharacteristic
39C2×#14581770C2211yescharacteristic
40C2×#14581769C2211yescharacteristic
41C2×#14581762C2211yescharacteristic
42C2×C4×Dic166C2211yescharacteristic, complemented
43C2×C4×D332C2211yescharacteristic
44C2×C4×D332C2211yescharacteristic
45C2×C4×C22⋊D83C2211yescharacteristic
46C2×(C22⋊D83)⋊C4C2211yescharacteristic
47C2×(C22⋊D83)⋊C4C2211yescharacteristic
48C2×#14581749C2211yescharacteristic
49C2×#14581749C2211yescharacteristic
50C22×(C2×D83)⋊C4C2211yescharacteristic
51C22×(C2×D83)⋊C4C2211yescharacteristic
52C22×(C2×D83)⋊C4C2211yescharacteristic
53C2×C22⋊C4×D83C2211yescharacteristic
54C2×C22⋊C4×D83C2211yescharacteristic
55C22×C4×Dic83C2211yescharacteristic
56C2×C42×D83C2211yescharacteristic, complemented
57#19127607C2211yescharacteristic, complemented
58#19127605C2211yescharacteristic, complemented
59#19127605C2211yescharacteristic, complemented
60#19127603C2211yescharacteristic
61#19127603C2211yescharacteristic
62#19127603C2211yescharacteristic
63#19127598C2211yescharacteristic, complemented
64#19127596C2211yescharacteristic, complemented
65#19127596C2211yescharacteristic, complemented
66#19127596C2211yescharacteristic, complemented
67#19127593C2211yescharacteristic
68#19127593C2211yescharacteristic
69#19127593C2211yescharacteristic
70#19127592C2211yescharacteristic
71#19127592C2211yescharacteristic
72#19127592C2211yescharacteristic
73#19127592C2211yescharacteristic
74#19127592C2211yescharacteristic
75#19127592C2211yescharacteristic
76#19127592C2211yescharacteristic
77#19127592C2211yescharacteristic, complemented
78#19127592C2211yescharacteristic, complemented
79#19127591C2211yescharacteristic
80#19127591C2211yescharacteristic
81#19127591C2211yescharacteristic
82#19127591C2211yescharacteristic
83#19127591C2211yescharacteristic
84#19127591C2211yescharacteristic
85#19127591C2211yescharacteristic
86#19127591C2211yescharacteristic
87#19127591C2211yescharacteristic
88#19127591C2211yescharacteristic
89#19127591C2211yescharacteristic, complemented
90#19127591C2211yescharacteristic, complemented
91#19127591C2211yescharacteristic, complemented
92#19127590C2211yescharacteristic
93#19127590C2211yescharacteristic
94#19127590C2211yescharacteristic, complemented
95#19127588C2211yescharacteristic, complemented
96#19127588C2211yescharacteristic, complemented
97#19127588C2211yescharacteristic, complemented
98#19127587C2211yescharacteristic, complemented
99#19127587C2211yescharacteristic, complemented
100#19127587C2211yescharacteristic, complemented
101#19127587C2211yescharacteristic, complemented
102#19127585C2211yescharacteristic, complemented
103#19127585C2211yescharacteristic, complemented
104#19127585C2211yescharacteristic, complemented
105#19127584C2211yescharacteristic, complemented
106#19127584C2211yescharacteristic, complemented
107#19127583C2211yescharacteristic, complemented
108#19127582C2211yescharacteristic, complemented
109#19127582C2211yescharacteristic, complemented
110#19127582C2211yescharacteristic, complemented
111#19127580C2211yescharacteristic
112#19127579C2211yescharacteristic
113#19127579C2211yescharacteristic
114#19127579C2211yescharacteristic
115#19127579C2211yescharacteristic
116#19127578C2211yescharacteristic
117#19127576C2211yescharacteristic
118#19127576C2211yescharacteristic
119#19127575C2211yescharacteristic
120#19127574C2211yescharacteristic
121#19127573C2211yescharacteristic
122#19127572C2211yescharacteristic
123#19127572C2211yescharacteristic
124#19127572C2211yescharacteristic, complemented
125#19127572C2211yescharacteristic, complemented
126#19127572C2211yescharacteristic, complemented
127#19127569C2211yescharacteristic, complemented
128#19127568C2211yescharacteristic, complemented
129#19127567C2211yescharacteristic, complemented
130#19127564C2211yescharacteristic
131#19127563C2211yescharacteristic
132#19127563C2211yescharacteristic, complemented
133#19127560C2211yescharacteristic
134#19127559C2211yescharacteristic
135#19127556C2211yescharacteristic
136C4×Dic83⋊C4C2211yescharacteristic, complemented
137C4×Dic83⋊C4C2211yescharacteristic, complemented
138C4×Dic83⋊C4C2211yescharacteristic, complemented
139C4×Dic83⋊C4C2211yescharacteristic, complemented
140C4×Dic83⋊C4C2211yescharacteristic, complemented
141C4×C4⋊Dic83C2211yescharacteristic, complemented
142C4×C4⋊Dic83C2211yescharacteristic, complemented
143C4×C4⋊Dic83C2211yescharacteristic, complemented
144#19127552C2211yescharacteristic, complemented
145#19127552C2211yescharacteristic, complemented
146C22⋊C4×Dic83C2211yescharacteristic
147C22⋊C4×Dic83C2211yescharacteristic
148C22⋊C4×Dic83C2211yescharacteristic
149C22⋊C4×Dic83C2211yescharacteristic
150C4×(C2×D83)⋊C4C2211yescharacteristic
151C4×(C2×D83)⋊C4C2211yescharacteristic
152C4×(C2×D83)⋊C4C2211yescharacteristic
153C4×(C2×D83)⋊C4C2211yescharacteristic
154C4×(C2×D83)⋊C4C2211yescharacteristic
155C4×(C2×D83)⋊C4C2211yescharacteristic
156C4×(C2×D83)⋊C4C2211yescharacteristic
157C4×(C2×D83)⋊C4C2211yescharacteristic
158C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
159C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
161C4×C22⋊Dic83C2211yescharacteristic
162#19127548C2211yescharacteristic
163#19127548C2211yescharacteristic
164#19127548C2211yescharacteristic
165#19127548C2211yescharacteristic
166#19127548C2211yescharacteristic, complemented
167#19127548C2211yescharacteristic, complemented
168#19127547C2211yescharacteristic, complemented
169#19127547C2211yescharacteristic, complemented
170C2×C83⋊#95C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172C42×Dic83C2211yescharacteristic, complemented
173C2×#117×C83C2211yescharacteristic
174C2×#117×C83C2211yescharacteristic
175C22×C4⋊C4×C83C2211yescharacteristic
176C4×C4⋊C4×C83C2211yescharacteristic, complemented
177C4×C4⋊C4×C83C2211yescharacteristic, complemented
178C4×C4⋊C4×C83C2211yescharacteristic, complemented
179C4×C4⋊C4×C83C2211yescharacteristic, complemented
180C4×C4⋊C4×C83C2211yescharacteristic, complemented
181C4×C4⋊C4×C83C2211yescharacteristic, complemented
182C4×C4⋊C4×C83C2211yescharacteristic, complemented
183C4×C4⋊C4×C83C2211yescharacteristic, complemented
184C4×C22⋊C4×C83C2211yescharacteristic
185C4×C22⋊C4×C83C2211yescharacteristic
186C4×C22⋊C4×C83C2211yescharacteristic
187C4×C22⋊C4×C83C2211yescharacteristic
188C24×D83C2311yescharacteristic
189C22×Dic166C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C23×Dic83C2311yescharacteristic
194C23×Dic83C2311yescharacteristic
195C23×Dic83C2311yescharacteristic
196C22×C4×D83C2311yescharacteristic
197C22×C4×D83C2311yescharacteristic
198C22×C4×D83C2311yescharacteristic
199C22×C4×D83C2311yescharacteristic
200C22×C4×D83C2311yescharacteristic
201C22×C4×D83C2311yescharacteristic
202C22×C4×D83C2311yescharacteristic
203#14581787C2×C418yescomplemented
204#14581786C2×C418yescomplemented
205#14581780C2×C418yescomplemented
206#14581777C2×C418yescomplemented
207#14581777C2×C418yescomplemented
208#14581775C2×C418yescomplemented
209#14581770C2×C418yescomplemented
210#14581769C2×C418yescomplemented
211#14581762C2×C418yes—
212C4×Dic166—42no—
213C4×D332—42no—
214C4×D332C2×C418yescomplemented
215C4×C22⋊D83—24no—
216(C22⋊D83)⋊C4—24no—
217(C22⋊D83)⋊C4C2×C418yescomplemented
218#14581749—42no—
219#14581749C2×C418yescomplemented
220C2×C4⋊Dic83C2311yescharacteristic
221C2×C4⋊Dic83C2311yescharacteristic
222C2×C4⋊Dic83C2311yescharacteristic
223C2×C4⋊Dic83C2311yescharacteristic
224C2×C4⋊Dic83C2311yescharacteristic
225C2×Dic83⋊C4C2311yescharacteristic
226C2×Dic83⋊C4C2311yescharacteristic
227C2×Dic83⋊C4C2311yescharacteristic
228C2×Dic83⋊C4C2311yescharacteristic
229C2×Dic83⋊C4C2311yescharacteristic
230C2×Dic83⋊C4C2311yescharacteristic
231C2×Dic83⋊C4C2311yescharacteristic
232C2×Dic83⋊C4C2311yescharacteristic
233C2×Dic83⋊C4C2311yescharacteristic
234C2×Dic83⋊C4C2311yescharacteristic
235C2×Dic83⋊C4C2311yescharacteristic
236C2×Dic83⋊C4C2311yescharacteristic
237C2×Dic83⋊C4C2311yescharacteristic
238C2×C22⋊Dic83C2311yescharacteristic
239C2×C22⋊Dic83C2311yescharacteristic
240C2×C22⋊Dic83C2311yescharacteristic
241C2×(C2×D83)⋊C4—24no—
242C2×(C2×D83)⋊C4—42no—
243C2×(C2×D83)⋊C4C2×C418yescomplemented
244C2×(C2×D83)⋊C4C2311yescharacteristic
245C2×(C2×D83)⋊C4C2311yescharacteristic
246C2×(C2×D83)⋊C4C2311yescharacteristic
247C2×(C2×D83)⋊C4C2311yescharacteristic
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
275C22⋊C4×D83—24no—
276C22⋊C4×D83C2×C418yescomplemented
277C2×C4×Dic83—42no—
278C2×C4×Dic83C2311yescharacteristic
279C2×C4×Dic83C2311yescharacteristic
280C2×C4×Dic83C2311yescharacteristic
281C2×C4×Dic83C2311yescharacteristic
282C2×C4×Dic83C2311yescharacteristic
283C2×C4×Dic83C2311yescharacteristic
284C2×C4×Dic83C2311yescharacteristic
285C2×C4×Dic83C2311yescharacteristic
286C2×C4×Dic83C2311yescharacteristic
287C2×C4×Dic83C2311yescharacteristic
288C2×C4×Dic83C2311yescharacteristic
289C2×C4×Dic83C2311yescharacteristic
290C2×C4×Dic83C2311yescharacteristic
291C2×C4×Dic83C2311yescharacteristic
292C2×C4×Dic83C2311yescharacteristic
293C2×C4×Dic83C2311yescharacteristic
294C2×C4×Dic83C2311yescharacteristic
295C42×D83—42no—
296C83⋊#95C2311yescharacteristic
297C83⋊#95C2311yescharacteristic
298C83⋊#95C2311yescharacteristic
299C83⋊#95C2311yescharacteristic
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
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C23×C4×C83C2311yescharacteristic
333C23×C4×C83C2311yescharacteristic
334C23×C4×C83C2311yescharacteristic
335#117×C83—24no—
336#117×C83C2×C418yescomplemented
337C2×C4⋊C4×C83—24no—
338C2×C4⋊C4×C83C2311yescharacteristic
339C2×C4⋊C4×C83C2311yescharacteristic
340C2×C4⋊C4×C83C2311yescharacteristic
341C2×C4⋊C4×C83C2311yescharacteristic
342C2×C4⋊C4×C83C2311yescharacteristic
343C2×C4⋊C4×C83C2311yescharacteristic
344C2×C4⋊C4×C83C2311yescharacteristic
345C2×C4⋊C4×C83C2311yescharacteristic
346C2×C22⋊C4×C83C2311yescharacteristic
347C2×C22⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C42×C83C2311yescharacteristic
351C2×C42×C83C2311yescharacteristic
352C2×C42×C83C2311yescharacteristic
353C2×C42×C83C2311yescharacteristic
354C2×C42×C83C2311yescharacteristic
355C2×C42×C83C2311yescharacteristic
356C2×C42×C83C2311yescharacteristic
357C2×C42×C83C2311yescharacteristic
358C2×C42×C83C2311yescharacteristic
359C2×C42×C83C2311yescharacteristic
360C2×C42×C83C2311yescharacteristic
361C2×C42×C83C2311yescharacteristic
362#95×C83C2311yescharacteristic
363#95×C83C2311yescharacteristic
364#95×C83C2311yescharacteristic
365#95×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369#95×C83C2311yescharacteristic
370C23×D83—22no—
371C23×D83—22no—
372C23×D83—41no—
373C23×D83—41no—
374C23×D83—41no—
375C23×D83—41no—
376C23×D83C22×C414yes—
377C23×D83C2411yescharacteristic
378C23×D83C2411yescharacteristic
379C23×D83C2411yescharacteristic
380C2×Dic166—41no—
381C2×Dic166—41no—
382C2×Dic166C22×C414yes—
383C2×D332—41no—
384C2×D332—41no—
385C2×D332—41no—
386C2×D332—41no—
387C2×D332C22×C414yes—
388C2×D332C22×C414yes—
389C2×C22⋊D83—22no—
390C2×C22⋊D83—22no—
391C2×C22⋊D83C22×C414yes—
392C22×Dic83—22no—
393C22×Dic83—22no—
394C22×Dic83—22no—
395C22×Dic83—41no—
396C22×Dic83—41no—
397C22×Dic83—41no—
398C22×Dic83—41no—
399C22×Dic83—41no—
400C22×Dic83C22×C414yes—
401C22×Dic83C2411yescharacteristic
402C22×Dic83C2411yescharacteristic
403C22×Dic83C2411yescharacteristic
404C22×Dic83C2411yescharacteristic
405C22×Dic83C2411yescharacteristic
406C22×Dic83C2411yescharacteristic
407C22×Dic83C2411yescharacteristic
408C22×Dic83C2411yescharacteristic
409C22×Dic83C2411yescharacteristic
410C22×Dic83C2411yescharacteristic
411C22×Dic83C2411yescharacteristic
412C22×Dic83C2411yescharacteristic
413C22×Dic83C2411yescharacteristic
414C2×C4×D83—22no—
415C2×C4×D83—22no—
416C2×C4×D83—22no—
417C2×C4×D83—22no—
418C2×C4×D83—22no—
419C2×C4×D83—41no—
420C2×C4×D83—41no—
421C2×C4×D83—41no—
422C2×C4×D83—41no—
423C2×C4×D83—41no—
424C2×C4×D83—41no—
425C2×C4×D83—41no—
426C2×C4×D83—41no—
427C2×C4×D83—41no—
428C2×C4×D83—41no—
429C2×C4×D83—41no—
430C2×C4×D83—41no—
431C2×C4×D83—41no—
432C2×C4×D83C22×C414yes—
433C2×C4×D83C22×C414yes—
434C2×C4×D83C22×C414yes—
435C4⋊Dic83—22no—
436C4⋊Dic83—41no—
437C4⋊Dic83—41no—
438C4⋊Dic83—41no—
439C4⋊Dic83C22×C414yes—
440Dic83⋊C4—22no—
441Dic83⋊C4—22no—
442Dic83⋊C4—22no—
443Dic83⋊C4—41no—
444Dic83⋊C4—41no—
445Dic83⋊C4—41no—
446Dic83⋊C4—41no—
447Dic83⋊C4—41no—
448Dic83⋊C4C22×C414yes—
449Dic83⋊C4C22×C414yes—
450Dic83⋊C4C22×C414yes—
451Dic83⋊C4C22×C414yes—
452Dic83⋊C4C22×C414yes—
453C22⋊Dic83—22no—
454C22⋊Dic83—22no—
455C22⋊Dic83C22×C414yes—
456(C2×D83)⋊C4—22no—
457(C2×D83)⋊C4—22no—
458(C2×D83)⋊C4—22no—
459(C2×D83)⋊C4—22no—
460(C2×D83)⋊C4—22no—
461(C2×D83)⋊C4—22no—
462(C2×D83)⋊C4—22no—
463(C2×D83)⋊C4—22no—
464(C2×D83)⋊C4—22no—
465(C2×D83)⋊C4—22no—
466(C2×D83)⋊C4—41no—
467(C2×D83)⋊C4—41no—
468(C2×D83)⋊C4—41no—
469(C2×D83)⋊C4—41no—
470(C2×D83)⋊C4—41no—
471(C2×D83)⋊C4—41no—
472(C2×D83)⋊C4—41no—
473(C2×D83)⋊C4—41no—
474(C2×D83)⋊C4—41no—
475(C2×D83)⋊C4—41no—
476(C2×D83)⋊C4C22×C414yes—
477(C2×D83)⋊C4C22×C414yes—
478(C2×D83)⋊C4C22×C414yes—
479(C2×D83)⋊C4C22×C414yes—
480(C2×D83)⋊C4C22×C414yes—
481(C2×D83)⋊C4C22×C414yes—
482(C2×D83)⋊C4C22×C414yes—
483(C2×D83)⋊C4C22×C414yes—
484(C2×D83)⋊C4C22×C414yes—
485(C2×D83)⋊C4C22×C414yes—
486(C2×D83)⋊C4C22×C414yes—
487C4×Dic83—22no—
488C4×Dic83—22no—
489C4×Dic83—22no—
490C4×Dic83—22no—
491C4×Dic83—22no—
492C4×Dic83—41no—
493C4×Dic83—41no—
494C4×Dic83—41no—
495C4×Dic83—41no—
496C4×Dic83—41no—
497C4×Dic83—41no—
498C4×Dic83—41no—
499C4×Dic83—41no—
500C4×Dic83—41no—
501C4×Dic83—41no—
502C4×Dic83—41no—
503C4×Dic83C22×C414yes—
504C24×C83C2411yescharacteristic
505C22×C4×C83—22no—
506C22×C4×C83—22no—
507C22×C4×C83—22no—
508C22×C4×C83—41no—
509C22×C4×C83—41no—
510C22×C4×C83—41no—
511C22×C4×C83—41no—
512C22×C4×C83C22×C414yes—
513C22×C4×C83#4114yes—
514C22×C4×C83C2411yescharacteristic
515C22×C4×C83C2411yescharacteristic
516C22×C4×C83C2411yescharacteristic
517C22×C4×C83C2411yescharacteristic
518C22×C4×C83C2411yescharacteristic
519C22×C4×C83C2411yescharacteristic
520C22×C4×C83C2411yescharacteristic
521C22×C4×C83C2411yescharacteristic
522C22×C4×C83C2411yescharacteristic
523C22×C4×C83C2411yescharacteristic
524C22×C4×C83C2411yescharacteristic
525C22×C4×C83C2411yescharacteristic
526C22×C4×C83C2411yescharacteristic
527C22×C4×C83C2411yescharacteristic
528C4⋊C4×C83—22no—
529C4⋊C4×C83—22no—
530C4⋊C4×C83—22no—
531C4⋊C4×C83—22no—
532C4⋊C4×C83—22no—
533C4⋊C4×C83—22no—
534C4⋊C4×C83C22×C414yes—
535C4⋊C4×C83C22×C414yes—
536C22⋊C4×C83—22no—
537C22⋊C4×C83C22×C414yes—
538C22⋊C4×C83C22×C414yes—
539C22⋊C4×C83#4114yes—
540C42×C83—22no—
541C42×C83—22no—
542C42×C83—41no—
543C42×C83—41no—
544C42×C83—41no—
545C42×C83—41no—
546C42×C83—41no—
547C42×C83—41no—
548C42×C83—41no—
549C42×C83—41no—
550C42×C83C22×C414yes—
551C42×C83C22×C414yes—
552C23×C83—21no—
553C23×C83—21no—
554C23×C83—21no—
555C23×C83—21no—
556C23×C83C23×C412yes—
557C23×C83C2×#4112yes—
558C23×C83C2×#4112yes—
559C23×C83C2511yescharacteristic
560C22×D83—21no—
561C22×D83—21no—
562C22×D83—21no—
563C22×D83—21no—
564C22×D83—21no—
565C22×D83—21no—
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—28no—
579C22×D83—44no—
580C22×D83—44no—
581C22×D83—82no—
582C22×D83—82no—
583C22×D83—82no—
584C22×D83—82no—
585C22×D83C23×C412yes—
586C22×D83C23×C412yes—
587C22×D83C23×C412yes—
588C2×C4×C83—28no—
589C2×C4×C83—21no—
590C2×C4×C83—21no—
591C2×C4×C83—21no—
592C2×C4×C83—21no—
593C2×C4×C83—21no—
594C2×C4×C83—21no—
595C2×C4×C83—21no—
596C2×C4×C83—21no—
597C2×C4×C83—21no—
598C2×C4×C83—21no—
599C2×C4×C83—21no—
600C2×C4×C83—21no—
601C2×C4×C83—21no—
602C2×C4×C83—21no—
603C2×C4×C83—21no—
604C2×C4×C83—21no—
605C2×C4×C83—21no—
606C2×C4×C83—21no—
607C2×C4×C83—21no—
608C2×C4×C83—21no—
609C2×C4×C83—21no—
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—44no—
622C2×C4×C83—82no—
623C2×C4×C83C23×C412yes—
624C2×C4×C83C23×C412yes—
625C2×C4×C83C23×C412yes—
626C2×C4×C83C23×C412yes—
627C2×C4×C83C23×C412yes—
628C2×C4×C83C23×C412yes—
629C2×C4×C83C2×#4112yes—
630C2×C4×C83C2×#4112yes—
631C2×C4×C83C2×#4112yes—
632C2×C4×C83C2×#4112yes—
633C22⋊D83—28no—
634C2×Dic83—21no—
635C2×Dic83—21no—
636C2×Dic83—21no—
637C2×Dic83—21no—
638C2×Dic83—21no—
639C2×Dic83—21no—
640C2×Dic83—21no—
641C2×Dic83—21no—
642C2×Dic83—21no—
643C2×Dic83—21no—
644C2×Dic83—21no—
645C2×Dic83—21no—
646C2×Dic83—21no—
647C2×Dic83—21no—
648C2×Dic83—21no—
649C2×Dic83—21no—
650C2×Dic83—21no—
651C2×Dic83—21no—
652C2×Dic83—21no—
653C2×Dic83—21no—
654C2×Dic83—21no—
655C2×Dic83—21no—
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—44no—
668C2×Dic83—44no—
669C2×Dic83—82no—
670C2×Dic83C23×C412yes—
671C2×Dic83C23×C412yes—
672C2×Dic83C23×C412yes—
673C2×Dic83C23×C412yes—
674C2×Dic83C23×C412yes—
675C2×Dic83H(5,𝔽2)12yes—
676D332—44no—
677D332—44no—
678C4×D83—44no—
679C4×D83—44no—
680C4×D83—44no—
681C4×D83—44no—
682C4×D83—44no—
683C4×D83—82no—
684C4×D83—82no—
685Dic166—44no—
686C22×C83—22no—
687C22×C83—22no—
688C22×C83—22no—
689C22×C83—22no—
690C22×C83—22no—
691C22×C83—22no—
692C22×C83C4×#4114yes—
693C22×C83C24×C411yescharacteristic
694C22×C83C22×#4111yescharacteristic
695C22×C83C22×#4111yescharacteristic
696C22×C83C2×H(5,𝔽2)11yescharacteristic
697C22×C83#58511yescharacteristic
698C22×C83#58511yescharacteristic
699C22×C83#58511yescharacteristic
700C2×D83—22no—
701C2×D83—22no—
702C2×D83—22no—
703C2×D83—22no—
704C2×D83—22no—
705C2×D83—22no—
706C2×D83—22no—
707C2×D83—22no—
708C2×D83—22no—
709C2×D83—41no—
710C2×D83—41no—
711C2×D83—41no—
712C2×D83—41no—
713C2×D83—41no—
714C2×D83—41no—
715C2×D83—41no—
716C2×D83—41no—
717C2×D83—41no—
718C2×D83—41no—
719C2×D83—41no—
720C2×D83—41no—
721C2×D83—88no—
722C4×C83—22no—
723C4×C83—22no—
724C4×C83—22no—
725C4×C83—22no—
726C4×C83—22no—
727C4×C83—22no—
728C4×C83—22no—
729C4×C83—22no—
730C4×C83—22no—
731C4×C83—22no—
732C4×C83—41no—
733C4×C83—41no—
734C4×C83—41no—
735C4×C83—41no—
736Dic83—22no—
737Dic83—22no—
738Dic83—22no—
739Dic83—22no—
740Dic83—22no—
741Dic83—22no—
742Dic83—41no—
743Dic83—41no—
744Dic83—41no—
745Dic83—41no—
746Dic83—41no—
747Dic83—41no—
748Dic83—41no—
749#34315—831nomaximal, Sylow
750C2×C83—24no—
751C2×C83C2×C4×#4111yescharacteristic
752C2×C83#342811yescharacteristic
753C2×C83C4×H(5,𝔽2)11yescharacteristic
754C2×C83#350511yescharacteristic
755C2×C83#351011yescharacteristic
756C2×C83#351311yescharacteristic
757C2×C83#352111yescharacteristic
758D83—42no—
759D83—42no—
760D83—42no—
761C2×#551—831no—
762#2374—831no—
763#2374—831no—
764#2373—831no—
765#2373—831no—
766#2368—831no—
767#2367—831no—
768#2362—831no—
769#2359—831no—
770#2358—831no—
771#2357—831no—
772#2353—831no—
773#2347—831no—
774#2343—831no—
775#2342—831no—
776#2342—831no—
777#2337—831no—
778#2335—831no—
779#2334—831no—
780#2332—831no—
781#2322—831no—
782#2321—831no—
783C4×#126—831no—
784C4×C22⋊Q8—831no—
785C4×#123—831no—
786#2298—831no—
787#2290—831no—
788C2×#388—831no—
789#2274D8311yescharacteristic, complemented
790#2273—831no—
791C42×D4—831no—
792C83#3431511yescharacteristic, complemented, Sylow
793#551—8316no—
794C2×#126—831no—
795C2×#126—831no—
796C2×#124—831no—
797C2×#123—831no—
798C2×#123—831no—
799C2×#123—831no—
800C2×C22⋊Q8—831no—
801C2×C22⋊Q8—831no—
802C2×#120—831no—
803C2×C4×Q8—831no—
804C2×C4×D4—831no—
805C2×C4×D4—831no—
806C2×C4×D4—831no—
807C2×C4×D4—831no—
808C2×C4×D4—831no—
809C2×#117—831no—
810C2×#117—831no—
811C2×#117C2×D8311yescharacteristic
812C2×#117C2×D8311yescharacteristic
813C22×C4⋊C4C2×D8311yescharacteristic
814C22×C22⋊C4—831no—
815C22×C22⋊C4—831no—
816C22×C22⋊C4—831no—
817C22×C22⋊C4—831no—
818C22×C22⋊C4—831no—
819C22×C42—831no—
820C22×C42—831no—
821#391—831no—
822#391—831no—
823#391—831no—
824#390—831no—
825#390—831no—
826#390—831no—
827#389—831no—
828#389—831no—
829#389—831no—
830#389—831no—
831#388—831no—
832#388—831no—
833#388—831no—
834#388—831no—
835#388—831no—
836#388—831no—
837#388—831no—
838#388—831no—
839#388—831no—
840#388—831no—
841#388—831no—
842#388—831no—
843#388—831no—
844#388—831no—
845#388—831no—
846#388—831no—
847#388—831no—
848#388—831no—
849#388—831no—
850#388—831no—
851#388—831no—
852#388—831no—
853#388—831no—
854#388—831no—
855#388—831no—
856#388—831no—
857#388—831no—
858#388—831no—
859#387—831no—
860#387—831no—
861#387—831no—
862#387—831no—
863#387—831no—
864#387—831no—
865#387—831no—
866#387—831no—
867#387—831no—
868#387—831no—
869#387—831no—
870#387—831no—
871#387—831no—
872#387—831no—
873#387—831no—
874#387—831no—
875#386—831no—
876#386—831no—
877#386—831no—
878#386—831no—
879#386—831no—
880#386—831no—
881#385—831no—
882#385—831no—
883#385—831no—
884#385—831no—
885#385—831no—
886#385—831no—
887#385—831no—
888#385—831no—
889#385—831no—
890#385—831no—
891#383—831no—
892#383—831no—
893#382—831no—
894#381—831no—
895#381—831no—
896#381—831no—
897#380—831no—
898#380—831no—
899#379—831no—
900C4×C4⋊C4—831no—
901C4×C4⋊C4—831no—
902C4×C4⋊C4—831no—
903C4×C4⋊C4—831no—
904C4×C4⋊C4—831no—
905C4×C4⋊C4—831no—
906C4×C4⋊C4—831no—
907C4×C4⋊C4—831no—
908C4×C4⋊C4—831no—
909C4×C4⋊C4—831no—
910C4×C4⋊C4C2×D8311yescharacteristic, complemented
911C4×C4⋊C4C2×D8311yescharacteristic, complemented
912C4×C4⋊C4C2×D8311yescharacteristic, complemented
913C4×C4⋊C4C2×D8311yescharacteristic, complemented
914C4×C4⋊C4C2×D8311yescharacteristic, complemented
915C4×C4⋊C4C2×D8311yescharacteristic, complemented
916C4×C4⋊C4C2×D8311yescharacteristic, complemented
917C4×C4⋊C4C2×D8311yescharacteristic, complemented
918C4×C22⋊C4—831no—
919C4×C22⋊C4—831no—
920C4×C22⋊C4—831no—
921C4×C22⋊C4—831no—
922C4×C22⋊C4—831no—
923C4×C22⋊C4—831no—
924C4×C22⋊C4—831no—
925C4×C22⋊C4—831no—
926C4×C22⋊C4—831no—
927C4×C22⋊C4—831no—
928C4×C22⋊C4—831no—
929C4×C22⋊C4—831no—
930C4×C22⋊C4—831no—
931C4×C22⋊C4—831no—
932C4×C22⋊C4—831no—
933C4×C22⋊C4—831no—
934C4×C22⋊C4—831no—
935C4×C22⋊C4—831no—
936C4×C22⋊C4—831no—
937C4×C22⋊C4—831no—
938C4×C22⋊C4—831no—
939C4×C22⋊C4—831no—
940C4×C22⋊C4C2×D8311yescharacteristic
941C4×C22⋊C4C2×D8311yescharacteristic
942C4×C22⋊C4C2×D8311yescharacteristic
943C4×C22⋊C4C2×D8311yescharacteristic
944#376—831no—
945#376—831no—
946C2×#95—831no—
947C2×#95—831no—
948C43—831no—
949C25—831no—
950C22×Q8—831no—
951C22×D4—831no—
952C22×D4—831no—
953C22×D4—831no—
954C23×C4—831no—
955C23×C4—831no—
956C23×C4—831no—
957C23×C4—831no—
958C23×C4—831no—
959C23×C4—831no—
960C23×C4—831no—
961C23×C4—831no—
962C23×C4—831no—
963C23×C4—831no—
964C23×C4C22×D8311yescharacteristic
965C23×C4C22×D8311yescharacteristic
966C23×C4C22×D8311yescharacteristic
967#126—838no—
968#126—838no—
969#124—838no—
970#123—838no—
971#123—838no—
972#123—838no—
973C22⋊Q8—838no—
974C22⋊Q8—838no—
975#120—838no—
976C4×Q8—3322no—
977C4×D4—3322no—
978C4×D4—838no—
979C4×D4—838no—
980C4×D4—1664no—
981C4×D4—1664no—
982#117—24no—
983#117—3322no—
984#117—838no—
985#117C4×D8318yescomplemented
986C2×C4⋊C4—24no—
987C2×C4⋊C4—831no—
988C2×C4⋊C4—831no—
989C2×C4⋊C4—831no—
990C2×C4⋊C4—831no—
991C2×C4⋊C4—831no—
992C2×C4⋊C4—831no—
993C2×C4⋊C4—831no—
994C2×C4⋊C4—831no—
995C2×C4⋊C4—831no—
996C2×C4⋊C4—831no—
997C2×C4⋊C4—831no—
998C2×C4⋊C4—831no—
999C2×C4⋊C4—831no—
1000C2×C4⋊C4—831no—
1001C2×C4⋊C4—831no—
1002C2×C4⋊C4—831no—
1003C2×C4⋊C4—831no—
1004C2×C4⋊C4—831no—
1005C2×C4⋊C4C22×D8311yescharacteristic
1006C2×C4⋊C4C22×D8311yescharacteristic
1007C2×C4⋊C4C22×D8311yescharacteristic
1008C2×C4⋊C4C22×D8311yescharacteristic
1009C2×C4⋊C4C22×D8311yescharacteristic
1010C2×C4⋊C4C22×D8311yescharacteristic
1011C2×C4⋊C4C22×D8311yescharacteristic
1012C2×C4⋊C4C22×D8311yescharacteristic
1013C2×C22⋊C4—3322no—
1014C2×C22⋊C4—831no—
1015C2×C22⋊C4—831no—
1016C2×C22⋊C4—831no—
1017C2×C22⋊C4—831no—
1018C2×C22⋊C4—831no—
1019C2×C22⋊C4—831no—
1020C2×C22⋊C4—831no—
1021C2×C22⋊C4—831no—
1022C2×C22⋊C4—831no—
1023C2×C22⋊C4—831no—
1024C2×C22⋊C4—831no—
1025C2×C22⋊C4—838no—
1026C2×C22⋊C4—831no—
1027C2×C22⋊C4—831no—
1028C2×C22⋊C4—831no—
1029C2×C22⋊C4—831no—
1030C2×C22⋊C4—831no—
1031C2×C22⋊C4—831no—
1032C2×C22⋊C4—831no—
1033C2×C22⋊C4—831no—
1034C2×C22⋊C4—831no—
1035C2×C22⋊C4—831no—
1036C2×C22⋊C4—831no—
1037C2×C22⋊C4—838no—
1038C2×C22⋊C4—831no—
1039C2×C22⋊C4—831no—
1040C2×C22⋊C4—831no—
1041C2×C22⋊C4—831no—
1042C2×C22⋊C4—831no—
1043C2×C22⋊C4—831no—
1044C2×C22⋊C4—831no—
1045C2×C22⋊C4—831no—
1046C2×C22⋊C4—831no—
1047C2×C22⋊C4—831no—
1048C2×C22⋊C4—831no—
1049C2×C22⋊C4—831no—
1050C2×C22⋊C4—1664no—
1051C2×C22⋊C4—1664no—
1052C2×C22⋊C4C22×D8311yescharacteristic
1053C2×C22⋊C4C22×D8311yescharacteristic
1054C2×C22⋊C4C22×D8311yescharacteristic
1055C2×C22⋊C4C22×D8311yescharacteristic
1056C2×C42—3322no—
1057C2×C42—3322no—
1058C2×C42—831no—
1059C2×C42—831no—
1060C2×C42—831no—
1061C2×C42—831no—
1062C2×C42—831no—
1063C2×C42—831no—
1064C2×C42—831no—
1065C2×C42—831no—
1066C2×C42—831no—
1067C2×C42—831no—
1068C2×C42—831no—
1069C2×C42—831no—
1070C2×C42—831no—
1071C2×C42—831no—
1072C2×C42—831no—
1073C2×C42—831no—
1074C2×C42—831no—
1075C2×C42C22×D8311yescharacteristic
1076C2×C42C22×D8311yescharacteristic
1077C2×C42C22×D8311yescharacteristic
1078C2×C42C22×D8311yescharacteristic
1079C2×C42C22×D8311yescharacteristic
1080C2×C42C22×D8311yescharacteristic
1081C2×C42C22×D8311yescharacteristic
1082C2×C42C22×D8311yescharacteristic
1083C2×C42C22×D8311yescharacteristic
1084C2×C42C22×D8311yescharacteristic
1085C2×C42C22×D8311yescharacteristic
1086C2×C42C22×D8311yescharacteristic
1087#95—831no—
1088#95—831no—
1089#95—831no—
1090#95—831no—
1091#95—831no—
1092#95—831no—
1093#95—831no—
1094#95—831no—
1095#95—831no—
1096#95—831no—
1097#95—831no—
1098#95—831no—
1099#95—831no—
1100#95—831no—
1101#95—831no—
1102#95—831no—
1103#95—831no—
1104#95—831no—
1105#95—831no—
1106#95—831no—
1107#95—831no—
1108#95—831no—
1109#95—831no—
1110#95—831no—
1111#95—831no—
1112#95—831no—
1113#95—831no—
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#95C22×D8311yescharacteristic
1124#95C22×D8311yescharacteristic
1125#95C22×D8311yescharacteristic
1126#95C22×D8311yescharacteristic
1127#95C22×D8311yescharacteristic
1128#95C22×D8311yescharacteristic
1129#95C22×D8311yescharacteristic
1130#95C22×D8311yescharacteristic
1131C24—3321no—
1132C24—3321no—
1133C24—3321no—
1134C24—3321no—
1135C24—834no—
1136C24—831no—
1137C24—831no—
1138C24—831no—
1139C24—1662no—
1140C24—1662no—
1141C24C23×D8311yescharacteristic
1142C2×Q8—3321no—
1143C2×Q8—3321no—
1144C2×Q8—834no—
1145C2×D4—3321no—
1146C2×D4—3321no—
1147C2×D4—3321no—
1148C2×D4—3321no—
1149C2×D4—834no—
1150C2×D4—834no—
1151C2×D4—834no—
1152C2×D4—1662no—
1153C2×D4—1662no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—3321no—
1162C22×C4—3321no—
1163C22×C4—3321no—
1164C22×C4—3321no—
1165C22×C4—3321no—
1166C22×C4—3321no—
1167C22×C4—3321no—
1168C22×C4—3321no—
1169C22×C4—3321no—
1170C22×C4—3321no—
1171C22×C4—3321no—
1172C22×C4—3321no—
1173C22×C4—3321no—
1174C22×C4—3321no—
1175C22×C4—3321no—
1176C22×C4—3321no—
1177C22×C4—3321no—
1178C22×C4—3321no—
1179C22×C4—834no—
1180C22×C4—834no—
1181C22×C4—834no—
1182C22×C4—834no—
1183C22×C4—831no—
1184C22×C4—831no—
1185C22×C4—831no—
1186C22×C4—831no—
1187C22×C4—831no—
1188C22×C4—831no—
1189C22×C4—831no—
1190C22×C4—831no—
1191C22×C4—831no—
1192C22×C4—831no—
1193C22×C4—831no—
1194C22×C4—831no—
1195C22×C4—831no—
1196C22×C4—1662no—
1197C22×C4—1662no—
1198C22×C4—1662no—
1199C22×C4—1662no—
1200C22×C4—1662no—
1201C22×C4—1662no—
1202C22×C4—1662no—
1203C22×C4—1662no—
1204C22×C4C2×C4×D8314yes—
1205C22×C4#1305059014yes—
1206C22×C4C23×D8311yescharacteristic
1207C22×C4C23×D8311yescharacteristic
1208C22×C4C23×D8311yescharacteristic
1209C22×C4C23×D8311yescharacteristic
1210C22×C4C23×D8311yescharacteristic
1211C22×C4C23×D8311yescharacteristic
1212C22×C4C23×D8311yescharacteristic
1213C22×C4C23×D8311yescharacteristic
1214C22×C4C23×D8311yescharacteristic
1215C22×C4C23×D8311yescharacteristic
1216C22×C4C23×D8311yescharacteristic
1217C22×C4C23×D8311yescharacteristic
1218C22×C4C23×D8311yescharacteristic
1219C22×C4C23×D8311yescharacteristic
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—3321no—
1227C4⋊C4—3321no—
1228C4⋊C4—3321no—
1229C4⋊C4—3321no—
1230C4⋊C4—3321no—
1231C4⋊C4—3321no—
1232C4⋊C4—3321no—
1233C4⋊C4—3321no—
1234C4⋊C4—834no—
1235C4⋊C4—834no—
1236C4⋊C4—834no—
1237C4⋊C4—834no—
1238C4⋊C4—834no—
1239C4⋊C4—834no—
1240C4⋊C4—1662no—
1241C4⋊C4—1662no—
1242C4⋊C4—1662no—
1243C4⋊C4—1662no—
1244C4⋊C4C2×C4×D8314yes—
1245C4⋊C4C2×C4×D8314yes—
1246C22⋊C4—22no—
1247C22⋊C4—3321no—
1248C22⋊C4—3321no—
1249C22⋊C4—3321no—
1250C22⋊C4—3321no—
1251C22⋊C4—3321no—
1252C22⋊C4—3321no—
1253C22⋊C4—3321no—
1254C22⋊C4—3321no—
1255C22⋊C4—3321no—
1256C22⋊C4—3321no—
1257C22⋊C4—834no—
1258C22⋊C4—834no—
1259C22⋊C4—834no—
1260C22⋊C4—834no—
1261C22⋊C4—834no—
1262C22⋊C4—834no—
1263C22⋊C4—834no—
1264C22⋊C4—834no—
1265C22⋊C4—834no—
1266C22⋊C4—834no—
1267C22⋊C4—834no—
1268C22⋊C4—834no—
1269C22⋊C4—1662no—
1270C22⋊C4—1662no—
1271C22⋊C4—1662no—
1272C22⋊C4—1662no—
1273C22⋊C4—1662no—
1274C22⋊C4—1662no—
1275C22⋊C4—1662no—
1276C22⋊C4—1662no—
1277C22⋊C4—1662no—
1278C22⋊C4—1662no—
1279C22⋊C4—1662no—
1280C22⋊C4—1662no—
1281C22⋊C4C2×C4×D8314yes—
1282C22⋊C4C2×C4×D8314yes—
1283C22⋊C4#1305059014yes—
1284C42—22no—
1285C42—22no—
1286C42—41no—
1287C42—41no—
1288C42—41no—
1289C42—41no—
1290C42—41no—
1291C42—41no—
1292C42—41no—
1293C42—41no—
1294C42—3321no—
1295C42—3321no—
1296C42—3321no—
1297C42—3321no—
1298C42—3321no—
1299C42—3321no—
1300C42—3321no—
1301C42—3321no—
1302C42—3321no—
1303C42—3321no—
1304C42—3321no—
1305C42—834no—
1306C42—1662no—
1307C42—1662no—
1308C42—1662no—
1309C42—1662no—
1310C42—1662no—
1311C42C2×C4×D8314yes—
1312C42C2×C4×D8314yes—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—3324no—
1318C23—3324no—
1319C23—832no—
1320C23—832no—
1321C23—832no—
1322C23—6642no—
1323C23—6642no—
1324C23—6642no—
1325C23—6642no—
1326C23—1661no—
1327C23—1661no—
1328C23—1661no—
1329C23—1661no—
1330C23—1661no—
1331C23—1661no—
1332C23—1661no—
1333C23—1661no—
1334C23—1661no—
1335C23—1661no—
1336C23—1661no—
1337C23—1661no—
1338C23—1661no—
1339C23—1661no—
1340C23—1661no—
1341C23—1661no—
1342C23—1661no—
1343C23—1661no—
1344C23—1668no—
1345C23C22×C4×D8312yes—
1346C23C2×#1305059012yes—
1347C23C2×#1305059012yes—
1348C23C24×D8311yescharacteristic
1349Q8—3324no—
1350D4—3324no—
1351D4—3324no—
1352D4—1668no—
1353C2×C4—28no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—44no—
1387C2×C4—82no—
1388C2×C4—3324no—
1389C2×C4—3324no—
1390C2×C4—3324no—
1391C2×C4—3324no—
1392C2×C4—3324no—
1393C2×C4—3324no—
1394C2×C4—3324no—
1395C2×C4—832no—
1396C2×C4—832no—
1397C2×C4—832no—
1398C2×C4—832no—
1399C2×C4—832no—
1400C2×C4—832no—
1401C2×C4—6642no—
1402C2×C4—6642no—
1403C2×C4—6642no—
1404C2×C4—1661no—
1405C2×C4—1661no—
1406C2×C4—1661no—
1407C2×C4—1661no—
1408C2×C4—1661no—
1409C2×C4—1661no—
1410C2×C4—1661no—
1411C2×C4—1661no—
1412C2×C4—1661no—
1413C2×C4—1661no—
1414C2×C4—1661no—
1415C2×C4—1661no—
1416C2×C4—1661no—
1417C2×C4—1661no—
1418C2×C4—1661no—
1419C2×C4—1661no—
1420C2×C4—1661no—
1421C2×C4—1661no—
1422C2×C4—1661no—
1423C2×C4—1661no—
1424C2×C4—1661no—
1425C2×C4—1661no—
1426C2×C4—1661no—
1427C2×C4—1661no—
1428C2×C4—1661no—
1429C2×C4—1661no—
1430C2×C4—1661no—
1431C2×C4—1661no—
1432C2×C4—1661no—
1433C2×C4—1661no—
1434C2×C4—1661no—
1435C2×C4—1661no—
1436C2×C4—1661no—
1437C2×C4C22×C4×D8312yes—
1438C2×C4C22×C4×D8312yes—
1439C2×C4C22×C4×D8312yes—
1440C2×C4C22×C4×D8312yes—
1441C2×C4C22×C4×D8312yes—
1442C2×C4C22×C4×D8312yes—
1443C2×C4C2×#1305059012yes—
1444C2×C4C2×#1305059012yes—
1445C2×C4C2×#1305059012yes—
1446C2×C4C2×#1305059012yes—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—3321no—
1454C22—3321no—
1455C22—3321no—
1456C22—3321no—
1457C22—3321no—
1458C22—3321no—
1459C22—3321no—
1460C22—3321no—
1461C22—3321no—
1462C22—3321no—
1463C22—3321no—
1464C22—3321no—
1465C22—6648no—
1466C22—1662no—
1467C22—1662no—
1468C22—1662no—
1469C22—1662no—
1470C22—1662no—
1471C22—1662no—
1472C22—1662no—
1473C22—1662no—
1474C22—1662no—
1475C22C4×#1305059014yes—
1476C22C23×C4×D8311yescharacteristic
1477C22C22×#1305059011yescharacteristic
1478C22C22×#1305059011yescharacteristic
1479C22H(5,𝔽2)×D8311yescharacteristic
1480C22#1912853611yescharacteristic
1481C22#1912853811yescharacteristic
1482C22#1912853811yescharacteristic
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—22no—
1489C4—22no—
1490C4—22no—
1491C4—22no—
1492C4—22no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—3321no—
1498C4—3321no—
1499C4—3321no—
1500C4—3321no—
1501C4—3321no—
1502C4—3321no—
1503C4—3321no—
1504C4—1662no—
1505C4—1662no—
1506C4—1662no—
1507C4—1662no—
1508C4—1662no—
1509C4—1662no—
1510C2—24no—
1511C2—3322no—
1512C2—3322no—
1513C2—3322no—
1514C2C2×C4×#1305059011yescharacteristic
1515C2#2492066311yescharacteristic
1516C2#2492066911yescharacteristic
1517C2#2492129311yescharacteristic
1518C2#2492136011yescharacteristic
1519C2#2492140511yescharacteristic
1520C2#2492153311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2274C2
socle, cosocleC23×C83C25
prime radicalC2×#14581762C22
hypercenter#2274D83
hypocenterC83#34315
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2274

Complements

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

NH ≅ G/Ntype
2. #24910592C2semidirect
3. #24910592C2semidirect
4. #24910588C2semidirect
5. #24910579C2semidirect
6. #24910541C2semidirect
7. #24910532C2semidirect
8. #24910491C2semidirect
9. #24910455C2semidirect
11. #24910434C2semidirect
12. #24910397C2semidirect
13. #24910357C2semidirect
14. #24910323C2semidirect
15. #24910313C2semidirect
16. #24910306C2semidirect
17. #24910276C2semidirect
18. #24910247C2semidirect
19. #24910238C2semidirect
20. #24910214C2semidirect
21. #24910132C2semidirect
23. C4×#14581787C2semidirect
24. C4×#14581769C2semidirect
25. C4×#14581777C2semidirect
26. #24909956C2semidirect
27. #24909904C2semidirect
28. C2×#19127591C2semidirect
29. #24909815C2semidirect
30. C4×(C22⋊D83)⋊C4C2semidirect
31. C83×#2274C2semidirect
32. #19128375C4semidirect
42. C2×C4×Dic166C22semidirect
56. C2×C42×D83C22semidirect
57. #19127607C22semidirect
58. #19127605C22semidirect
59. #19127605C22semidirect
63. #19127598C22semidirect
64. #19127596C22semidirect
65. #19127596C22semidirect
66. #19127596C22semidirect
77. #19127592C22semidirect
78. #19127592C22semidirect
89. #19127591C22semidirect
90. #19127591C22semidirect
91. #19127591C22semidirect
94. #19127590C22semidirect
95. #19127588C22semidirect
96. #19127588C22semidirect
97. #19127588C22semidirect
98. #19127587C22semidirect
99. #19127587C22semidirect
100. #19127587C22semidirect
101. #19127587C22semidirect
102. #19127585C22semidirect
103. #19127585C22semidirect
104. #19127585C22semidirect
105. #19127584C22semidirect
106. #19127584C22semidirect
107. #19127583C22semidirect
108. #19127582C22semidirect
109. #19127582C22semidirect
110. #19127582C22semidirect
124. #19127572C22semidirect
125. #19127572C22semidirect
126. #19127572C22semidirect
127. #19127569C22semidirect
128. #19127568C22semidirect
129. #19127567C22semidirect
132. #19127563C22semidirect
136. C4×Dic83⋊C4C22semidirect
137. C4×Dic83⋊C4C22semidirect
138. C4×Dic83⋊C4C22semidirect
139. C4×Dic83⋊C4C22semidirect
140. C4×Dic83⋊C4C22semidirect
141. C4×C4⋊Dic83C22semidirect
142. C4×C4⋊Dic83C22semidirect
143. C4×C4⋊Dic83C22semidirect
144. #19127552C22semidirect
145. #19127552C22semidirect
158. C4×(C2×D83)⋊C4C22semidirect
159. C4×(C2×D83)⋊C4C22semidirect
160. C4×(C2×D83)⋊C4C22semidirect
166. #19127548C22semidirect
167. #19127548C22semidirect
168. #19127547C22semidirect
169. #19127547C22semidirect
172. C42×Dic83C22semidirect
176. C4×C4⋊C4×C83C22semidirect
177. C4×C4⋊C4×C83C22semidirect
178. C4×C4⋊C4×C83C22semidirect
179. C4×C4⋊C4×C83C22semidirect
180. C4×C4⋊C4×C83C22semidirect
181. C4×C4⋊C4×C83C22semidirect
182. C4×C4⋊C4×C83C22semidirect
183. C4×C4⋊C4×C83C22semidirect
203. #14581787C2×C4semidirect
204. #14581786C2×C4semidirect
205. #14581780C2×C4semidirect
206. #14581777C2×C4semidirect
207. #14581777C2×C4semidirect
208. #14581775C2×C4semidirect
209. #14581770C2×C4semidirect
210. #14581769C2×C4semidirect
214. C4×D332C2×C4semidirect
217. (C22⋊D83)⋊C4C2×C4semidirect
219. #14581749C2×C4semidirect
243. C2×(C2×D83)⋊C4C2×C4semidirect
276. C22⋊C4×D83C2×C4semidirect
336. #117×C83C2×C4semidirect
789. #2274D83semidirect
792. C83#34315semidirect
910. C4×C4⋊C4C2×D83semidirect
911. C4×C4⋊C4C2×D83semidirect
912. C4×C4⋊C4C2×D83semidirect
913. C4×C4⋊C4C2×D83semidirect
914. C4×C4⋊C4C2×D83semidirect
915. C4×C4⋊C4C2×D83semidirect
916. C4×C4⋊C4C2×D83semidirect
917. C4×C4⋊C4C2×D83semidirect
985. #117C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283752
#249105922
#249105882
#249105792
#249105412
#249105322
#249104912
#249104552
#249104452
#249104342
#249103972
#249103572
#249103232
#249103132
#249103062
#249102762
#249102472
#249102382
#249102142
#249101322
#249101232
C4×#145817872
C4×#145817692
C4×#145817772
#249099562
#249099042
C2×#191275912
#249098152
C4×(C22⋊D83)⋊C42
C83×#22742
#3431583