Finite Group Databasebeta

← #35569762

Subgroups — #35569762

Order 21248.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24910629C211yesmaximal, characteristic, complemented
2#24910620C211yesmaximal, characteristic, complemented
3#24910611C211yesmaximal, characteristic, complemented
4#24910604C211yesmaximal, characteristic, complemented
5#24910575C211yesmaximal, characteristic, complemented
6#24910515C211yesmaximal, characteristic, complemented
7#24910505C211yesmaximal, characteristic, complemented
8#24910459C211yesmaximal, characteristic, complemented
9#24910447C211yesmaximal, characteristic, complemented
10#24910403C211yesmaximal, characteristic, complemented
11#24910403C211yesmaximal, characteristic, complemented
12#24910312C211yesmaximal, characteristic, complemented
13#24910312C211yesmaximal, characteristic, complemented
14#24910293C211yesmaximal, characteristic, complemented
15D4×C22⋊Dic83C211yesmaximal, characteristic, complemented
16#24910278C211yesmaximal, characteristic, complemented
17#24910257C211yesmaximal, characteristic, complemented
18#24910230C211yesmaximal, characteristic, complemented
19#24910221C211yesmaximal, characteristic, complemented
20#24910168C211yesmaximal, characteristic, complemented
21#24910135C211yesmaximal, characteristic, complemented
22#24910124C211yesmaximal, characteristic, complemented
23#24910124C211yesmaximal, characteristic, complemented
24#24910106C211yesmaximal, characteristic, complemented
25#24910061C211yesmaximal, characteristic, complemented
26#24910055C211yesmaximal, characteristic, complemented
27#24910041C211yesmaximal, characteristic, complemented
28#121×Dic83C211yesmaximal, characteristic, complemented
29#24909908C211yesmaximal, characteristic, complemented
30C2×#19127594C211yesmaximal, characteristic, complemented
31C2×#546×C83C211yesmaximal, characteristic
32C2×D4×Dic83C2211yescharacteristic
33C2×D4×Dic83C2211yescharacteristic
34C2×D4×Dic83C2211yescharacteristic, complemented
35C2×D4×Dic83C2211yescharacteristic, complemented
36C2×D4×Dic83C2211yescharacteristic, complemented
37C2×D4×Dic83C2211yescharacteristic, complemented
38C2×#14581751C2211yescharacteristic, complemented
39C2×#14581751C2211yescharacteristic, complemented
40C22×C4⋊Dic83C2211yescharacteristic, complemented
41C22×C22⋊Dic83C2211yescharacteristic
42C22×C22⋊Dic83C2211yescharacteristic
43C22×C22⋊Dic83C2211yescharacteristic
44C22×C22⋊Dic83C2211yescharacteristic
45C22×C4×Dic83C2211yescharacteristic, complemented
46#19127608C2211yescharacteristic, complemented
47#19127608C2211yescharacteristic, complemented
48#19127608C2211yescharacteristic, complemented
49#19127608C2211yescharacteristic, complemented
50#19127604C2211yescharacteristic
51#19127604C2211yescharacteristic
52#19127604C2211yescharacteristic
53#19127604C2211yescharacteristic
54#19127604C2211yescharacteristic, complemented
55#19127604C2211yescharacteristic, complemented
56#19127604C2211yescharacteristic, complemented
57#19127604C2211yescharacteristic, complemented
58#19127600C2211yescharacteristic, complemented
59#19127600C2211yescharacteristic, complemented
60#19127600C2211yescharacteristic, complemented
61#19127600C2211yescharacteristic, complemented
62#19127594C2211yescharacteristic
63#19127594C2211yescharacteristic
64#19127594C2211yescharacteristic
65#19127594C2211yescharacteristic
66#19127594C2211yescharacteristic
67#19127594C2211yescharacteristic
68#19127594C2211yescharacteristic
69#19127594C2211yescharacteristic
70#19127594C2211yescharacteristic
71#19127594C2211yescharacteristic
72#19127594C2211yescharacteristic
73#19127594C2211yescharacteristic
74#19127594C2211yescharacteristic, complemented
75#19127594C2211yescharacteristic, complemented
76#19127594C2211yescharacteristic, complemented
77#19127594C2211yescharacteristic, complemented
78#19127594C2211yescharacteristic, complemented
79#19127594C2211yescharacteristic, complemented
80#19127594C2211yescharacteristic, complemented
81#19127594C2211yescharacteristic, complemented
82#19127594C2211yescharacteristic, complemented
83#19127594C2211yescharacteristic, complemented
84#19127594C2211yescharacteristic, complemented
85#19127594C2211yescharacteristic, complemented
86#19127594C2211yescharacteristic, complemented
87#19127594C2211yescharacteristic, complemented
88#19127594C2211yescharacteristic, complemented
89#19127594C2211yescharacteristic, complemented
90#19127594C2211yescharacteristic, complemented
91#19127594C2211yescharacteristic, complemented
92#19127587C2211yescharacteristic, complemented
93#19127587C2211yescharacteristic, complemented
94#19127587C2211yescharacteristic, complemented
95#19127587C2211yescharacteristic, complemented
96#19127587C2211yescharacteristic, complemented
97#19127587C2211yescharacteristic, complemented
98#19127587C2211yescharacteristic, complemented
99#19127587C2211yescharacteristic, complemented
100#19127587C2211yescharacteristic, complemented
101#19127587C2211yescharacteristic, complemented
102#19127581C2211yescharacteristic
103#19127581C2211yescharacteristic
104#19127581C2211yescharacteristic
105#19127581C2211yescharacteristic
106#19127581C2211yescharacteristic
107#19127581C2211yescharacteristic
108#19127581C2211yescharacteristic
109#19127581C2211yescharacteristic
110#19127581C2211yescharacteristic
111#19127581C2211yescharacteristic
112#19127581C2211yescharacteristic
113#19127581C2211yescharacteristic
114#19127581C2211yescharacteristic
115#19127581C2211yescharacteristic
116#19127581C2211yescharacteristic, complemented
117#19127581C2211yescharacteristic, complemented
118#19127581C2211yescharacteristic, complemented
119#19127581C2211yescharacteristic, complemented
120#19127581C2211yescharacteristic, complemented
121#19127581C2211yescharacteristic, complemented
122#19127581C2211yescharacteristic, complemented
123#19127581C2211yescharacteristic, complemented
124#19127576C2211yescharacteristic, complemented
125#19127576C2211yescharacteristic, complemented
126#19127576C2211yescharacteristic, complemented
127#19127576C2211yescharacteristic, complemented
128#19127576C2211yescharacteristic, complemented
129#19127576C2211yescharacteristic, complemented
130#19127576C2211yescharacteristic, complemented
131#19127576C2211yescharacteristic, complemented
132#19127569C2211yescharacteristic, complemented
133#19127564C2211yescharacteristic
134#19127564C2211yescharacteristic
135#19127564C2211yescharacteristic, complemented
136#19127564C2211yescharacteristic, complemented
137#19127564C2211yescharacteristic, complemented
138#19127561C2211yescharacteristic
139#19127561C2211yescharacteristic, complemented
140#19127561C2211yescharacteristic, complemented
141#19127561C2211yescharacteristic, complemented
142#19127561C2211yescharacteristic, complemented
143#19127561C2211yescharacteristic, complemented
144#19127561C2211yescharacteristic, complemented
145#19127557C2211yescharacteristic
146#19127557C2211yescharacteristic
147#19127557C2211yescharacteristic
148#19127557C2211yescharacteristic
149C4⋊C4×Dic83C2211yescharacteristic, complemented
150C4⋊C4×Dic83C2211yescharacteristic, complemented
151C4×C4⋊Dic83C2211yescharacteristic, complemented
152C22⋊C4×Dic83C2211yescharacteristic, complemented
153C22⋊C4×Dic83C2211yescharacteristic, complemented
154C22⋊C4×Dic83C2211yescharacteristic, complemented
155C22⋊C4×Dic83C2211yescharacteristic, complemented
156C22⋊C4×Dic83C2211yescharacteristic, complemented
157C22⋊C4×Dic83C2211yescharacteristic, complemented
158C22⋊C4×Dic83C2211yescharacteristic, complemented
159C22⋊C4×Dic83C2211yescharacteristic, complemented
160C22⋊C4×Dic83C2211yescharacteristic, complemented
161C22⋊C4×Dic83C2211yescharacteristic, complemented
162C4×C22⋊Dic83C2211yescharacteristic
163C4×C22⋊Dic83C2211yescharacteristic, complemented
164C4×C22⋊Dic83C2211yescharacteristic, complemented
165C4×C22⋊Dic83C2211yescharacteristic, complemented
166C4×C22⋊Dic83C2211yescharacteristic, complemented
167#19127547C2211yescharacteristic, complemented
168#19127547C2211yescharacteristic, complemented
169C2×C83⋊#95C2211yescharacteristic, complemented
170C2×C83⋊#95C2211yescharacteristic, complemented
171C2×C83⋊#95C2211yescharacteristic, complemented
172C22×#41×C83C2211yescharacteristic
173C23×D4×C83C2211yescharacteristic
174#546×C83C4116yescomplemented
175C2×#124×C83C2211yescharacteristic
176C2×#123×C83C2211yescharacteristic
177C2×#123×C83C2211yescharacteristic
178C2×C22⋊Q8×C83C2211yescharacteristic
179C2×#121×C83C2211yescharacteristic
180C2×#121×C83C2211yescharacteristic
181C2×#121×C83C2211yescharacteristic
182C2×#120×C83C2211yescharacteristic
183C2×#120×C83C2211yescharacteristic
184C2×C4×D4×C83C2211yescharacteristic
185C2×C4×D4×C83C2211yescharacteristic
186C22×C22⋊C4×C83C2211yescharacteristic
187C22×C22⋊C4×C83C2211yescharacteristic
188C23×Dic83C2311yescharacteristic
189C23×Dic83C2311yescharacteristic
190C23×Dic83C2311yescharacteristic
191C23×Dic83C2311yescharacteristic
192C23×Dic83C2311yescharacteristic
193C23×Dic83C2311yescharacteristic
194C23×Dic83C2311yescharacteristic
195C23×Dic83C2311yescharacteristic
196C23×Dic83C2311yescharacteristic
197C23×Dic83C2311yescharacteristic
198D4×Dic83—42no—
199D4×Dic83—42no—
200D4×Dic83—42no—
201D4×Dic83—42no—
202D4×Dic83—42no—
203D4×Dic83—42no—
204#14581751—42no—
205#14581751—42no—
206C2×C4⋊Dic83—42no—
207C2×C4⋊Dic83C2311yescharacteristic
208C2×C4⋊Dic83C2311yescharacteristic
209C2×C4⋊Dic83C2311yescharacteristic
210C2×C4⋊Dic83C2311yescharacteristic
211C2×C4⋊Dic83C2311yescharacteristic
212C2×C4⋊Dic83C2311yescharacteristic
213C2×C4⋊Dic83C2311yescharacteristic
214C2×C4⋊Dic83C2311yescharacteristic
215C2×C4⋊Dic83C2311yescharacteristic
216C2×C4⋊Dic83C2311yescharacteristic
217C2×C4⋊Dic83C2311yescharacteristic
218C2×C4⋊Dic83C2311yescharacteristic
219C2×C4⋊Dic83C2311yescharacteristic
220C2×C4⋊Dic83C2311yescharacteristic
221C2×C4⋊Dic83C2311yescharacteristic
222C2×C4⋊Dic83C2311yescharacteristic
223C2×C22⋊Dic83—42no—
224C2×C22⋊Dic83—42no—
225C2×C22⋊Dic83—42no—
226C2×C22⋊Dic83—42no—
227C2×C22⋊Dic83C2311yescharacteristic
228C2×C22⋊Dic83C2311yescharacteristic
229C2×C22⋊Dic83C2311yescharacteristic
230C2×C22⋊Dic83C2311yescharacteristic
231C2×C22⋊Dic83C2311yescharacteristic
232C2×C22⋊Dic83C2311yescharacteristic
233C2×C22⋊Dic83C2311yescharacteristic
234C2×C22⋊Dic83C2311yescharacteristic
235C2×C22⋊Dic83C2311yescharacteristic
236C2×C22⋊Dic83C2311yescharacteristic
237C2×C22⋊Dic83C2311yescharacteristic
238C2×C22⋊Dic83C2311yescharacteristic
239C2×C22⋊Dic83C2311yescharacteristic
240C2×C22⋊Dic83C2311yescharacteristic
241C2×C22⋊Dic83C2311yescharacteristic
242C2×C22⋊Dic83C2311yescharacteristic
243C2×C22⋊Dic83C2311yescharacteristic
244C2×C22⋊Dic83C2311yescharacteristic
245C2×C22⋊Dic83C2311yescharacteristic
246C2×C22⋊Dic83C2311yescharacteristic
247C2×C22⋊Dic83C2311yescharacteristic
248C2×C22⋊Dic83C2311yescharacteristic
249C2×C22⋊Dic83C2311yescharacteristic
250C2×C22⋊Dic83C2311yescharacteristic
251C2×C22⋊Dic83C2311yescharacteristic
252C2×C22⋊Dic83C2311yescharacteristic
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×C22⋊Dic83C2311yescharacteristic
256C2×C22⋊Dic83C2311yescharacteristic
257C2×C22⋊Dic83C2311yescharacteristic
258C2×C22⋊Dic83C2311yescharacteristic
259C2×C22⋊Dic83C2311yescharacteristic
260C2×C22⋊Dic83C2311yescharacteristic
261C2×C22⋊Dic83C2311yescharacteristic
262C2×C22⋊Dic83C2311yescharacteristic
263C2×C22⋊Dic83C2311yescharacteristic
264C2×C22⋊Dic83C2311yescharacteristic
265C2×C4×Dic83—42no—
266C2×C4×Dic83C2311yescharacteristic
267C2×C4×Dic83C2311yescharacteristic
268C2×C4×Dic83C2311yescharacteristic
269C2×C4×Dic83C2311yescharacteristic
270C2×C4×Dic83C2311yescharacteristic
271C2×C4×Dic83C2311yescharacteristic
272C2×C4×Dic83C2311yescharacteristic
273C2×C4×Dic83C2311yescharacteristic
274C2×C4×Dic83C2311yescharacteristic
275C2×C4×Dic83C2311yescharacteristic
276C2×C4×Dic83C2311yescharacteristic
277C2×C4×Dic83C2311yescharacteristic
278C2×C4×Dic83C2311yescharacteristic
279C2×C4×Dic83C2311yescharacteristic
280C2×C4×Dic83C2311yescharacteristic
281C2×C4×Dic83C2311yescharacteristic
282C83⋊#95C2311yescharacteristic
283C83⋊#95C2311yescharacteristic
284C83⋊#95C2311yescharacteristic
285C83⋊#95C2311yescharacteristic
286C83⋊#95C2311yescharacteristic
287C83⋊#95C2311yescharacteristic
288C83⋊#95C2311yescharacteristic
289C83⋊#95C2311yescharacteristic
290C83⋊#95C2311yescharacteristic
291C83⋊#95C2311yescharacteristic
292C83⋊#95C2311yescharacteristic
293C83⋊#95C2311yescharacteristic
294C83⋊#95C2311yescharacteristic
295C83⋊#95C2311yescharacteristic
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
322C25×C83C2311yescharacteristic
323C25×C83C2311yescharacteristic
324C2×#41×C83—42no—
325C2×#41×C83—42no—
326C2×#41×C83C2×C418yescomplemented
327C22×Q8×C83C2311yescharacteristic
328C22×D4×C83—42no—
329C22×D4×C83—42no—
330C22×D4×C83C2×C418yescomplemented
331C22×D4×C83C2311yescharacteristic
332C22×D4×C83C2311yescharacteristic
333C22×D4×C83C2311yescharacteristic
334C22×D4×C83C2311yescharacteristic
335C22×D4×C83C2311yescharacteristic
336C22×D4×C83C2311yescharacteristic
337C22×D4×C83C2311yescharacteristic
338C22×D4×C83C2311yescharacteristic
339C22×D4×C83C2311yescharacteristic
340C23×C4×C83C2311yescharacteristic
341C23×C4×C83C2311yescharacteristic
342C23×C4×C83C2311yescharacteristic
343C23×C4×C83C2311yescharacteristic
344C23×C4×C83C2311yescharacteristic
345C23×C4×C83C2311yescharacteristic
346#124×C83C2×C418yescomplemented
347#123×C83C2×C418yescomplemented
348#123×C83C2×C418yescomplemented
349C22⋊Q8×C83C2×C418yescomplemented
350#121×C83C2×C418yescomplemented
351#121×C83C2×C418yescomplemented
352#121×C83C2×C418yescomplemented
353#120×C83C2×C418yescomplemented
354#120×C83C2×C418yescomplemented
355C4×D4×C83C2×C418yescomplemented
356C4×D4×C83C2×C418yescomplemented
357C2×C4⋊C4×C83C2311yescharacteristic
358C2×C4⋊C4×C83C2311yescharacteristic
359C2×C4⋊C4×C83C2311yescharacteristic
360C2×C4⋊C4×C83C2311yescharacteristic
361C2×C22⋊C4×C83C2×C418yescomplemented
362C2×C22⋊C4×C83C2×C418yescomplemented
363C2×C22⋊C4×C83C2311yescharacteristic
364C2×C22⋊C4×C83C2311yescharacteristic
365C2×C22⋊C4×C83C2311yescharacteristic
366C2×C22⋊C4×C83C2311yescharacteristic
367C2×C22⋊C4×C83C2311yescharacteristic
368C2×C22⋊C4×C83C2311yescharacteristic
369C2×C22⋊C4×C83C2311yescharacteristic
370C2×C22⋊C4×C83C2311yescharacteristic
371C2×C22⋊C4×C83C2311yescharacteristic
372C2×C22⋊C4×C83C2311yescharacteristic
373C2×C22⋊C4×C83C2311yescharacteristic
374C2×C22⋊C4×C83C2311yescharacteristic
375C2×C42×C83C2311yescharacteristic
376C22×Dic83—22no—
377C22×Dic83—22no—
378C22×Dic83—22no—
379C22×Dic83—22no—
380C22×Dic83—22no—
381C22×Dic83—22no—
382C22×Dic83—22no—
383C22×Dic83—41no—
384C22×Dic83—41no—
385C22×Dic83—41no—
386C22×Dic83—41no—
387C22×Dic83—41no—
388C22×Dic83—41no—
389C22×Dic83—41no—
390C22×Dic83—41no—
391C22×Dic83—41no—
392C22×Dic83—41no—
393C22×Dic83—41no—
394C22×Dic83—41no—
395C22×Dic83—41no—
396C22×Dic83—41no—
397C22×Dic83—41no—
398C22×Dic83—41no—
399C22×Dic83—41no—
400C22×Dic83—41no—
401C22×Dic83—41no—
402C22×Dic83—41no—
403C22×Dic83—41no—
404C22×Dic83—41no—
405C22×Dic83—41no—
406C22×Dic83C2411yescharacteristic
407C22×Dic83C2411yescharacteristic
408C22×Dic83C2411yescharacteristic
409C22×Dic83C2411yescharacteristic
410C22×Dic83C2411yescharacteristic
411C22×Dic83C2411yescharacteristic
412C22×Dic83C2411yescharacteristic
413C22×Dic83C2411yescharacteristic
414C22×Dic83C2411yescharacteristic
415C22×Dic83C2411yescharacteristic
416C22×Dic83C2411yescharacteristic
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C4⋊Dic83—22no—
423C4⋊Dic83—41no—
424C4⋊Dic83—41no—
425C4⋊Dic83—41no—
426C4⋊Dic83—41no—
427C4⋊Dic83—41no—
428C4⋊Dic83—41no—
429C4⋊Dic83—41no—
430C4⋊Dic83—41no—
431C4⋊Dic83—41no—
432C4⋊Dic83—41no—
433C4⋊Dic83—41no—
434C4⋊Dic83—41no—
435C4⋊Dic83—41no—
436C4⋊Dic83—41no—
437C4⋊Dic83—41no—
438C22⋊Dic83—22no—
439C22⋊Dic83—22no—
440C22⋊Dic83—22no—
441C22⋊Dic83—22no—
442C22⋊Dic83—22no—
443C22⋊Dic83—22no—
444C22⋊Dic83—22no—
445C22⋊Dic83—41no—
446C22⋊Dic83—41no—
447C22⋊Dic83—41no—
448C22⋊Dic83—41no—
449C22⋊Dic83—41no—
450C22⋊Dic83—41no—
451C22⋊Dic83—41no—
452C22⋊Dic83—41no—
453C22⋊Dic83—41no—
454C22⋊Dic83—41no—
455C22⋊Dic83—41no—
456C22⋊Dic83—41no—
457C22⋊Dic83—41no—
458C22⋊Dic83—41no—
459C22⋊Dic83—41no—
460C22⋊Dic83—41no—
461C22⋊Dic83—41no—
462C22⋊Dic83—41no—
463C22⋊Dic83—41no—
464C22⋊Dic83—41no—
465C22⋊Dic83—41no—
466C22⋊Dic83—41no—
467C22⋊Dic83—41no—
468C22⋊Dic83—41no—
469C22⋊Dic83—41no—
470C22⋊Dic83—41no—
471C22⋊Dic83—41no—
472C22⋊Dic83—41no—
473C22⋊Dic83—41no—
474C22⋊Dic83—41no—
475C22⋊Dic83—41no—
476C4×Dic83—22no—
477C4×Dic83—22no—
478C4×Dic83—41no—
479C4×Dic83—41no—
480C4×Dic83—41no—
481C4×Dic83—41no—
482C4×Dic83—41no—
483C4×Dic83—41no—
484C4×Dic83—41no—
485C4×Dic83—41no—
486C4×Dic83—41no—
487C4×Dic83—41no—
488C4×Dic83—41no—
489C4×Dic83—41no—
490C4×Dic83—41no—
491C4×Dic83—41no—
492C24×C83—22no—
493C24×C83—22no—
494C24×C83—41no—
495C24×C83—41no—
496C24×C83—41no—
497C24×C83—41no—
498C24×C83—41no—
499C24×C83—41no—
500C24×C83—41no—
501C24×C83—41no—
502C24×C83—41no—
503C24×C83—41no—
504C24×C83C22×C414yes—
505C24×C83C22×C414yes—
506C24×C83C2411yescharacteristic
507C24×C83C2411yescharacteristic
508C24×C83C2411yescharacteristic
509C24×C83C2411yescharacteristic
510C24×C83C2411yescharacteristic
511C24×C83C2411yescharacteristic
512#41×C83—416no—
513C2×Q8×C83—41no—
514C2×Q8×C83—41no—
515C2×Q8×C83C22×C414yes—
516C2×D4×C83—22no—
517C2×D4×C83—22no—
518C2×D4×C83—22no—
519C2×D4×C83—22no—
520C2×D4×C83—22no—
521C2×D4×C83—22no—
522C2×D4×C83—41no—
523C2×D4×C83—41no—
524C2×D4×C83—41no—
525C2×D4×C83—41no—
526C2×D4×C83—41no—
527C2×D4×C83—41no—
528C2×D4×C83—41no—
529C2×D4×C83—41no—
530C2×D4×C83—41no—
531C2×D4×C83—41no—
532C2×D4×C83—41no—
533C2×D4×C83—41no—
534C2×D4×C83—416no—
535C2×D4×C83C22×C414yes—
536C2×D4×C83C22×C414yes—
537C2×D4×C83C22×C414yes—
538C2×D4×C83C22×C414yes—
539C2×D4×C83C22×C414yes—
540C2×D4×C83C22×C414yes—
541C2×D4×C83C22×C414yes—
542C2×D4×C83C22×C414yes—
543C2×D4×C83C22×C414yes—
544C22×C4×C83—22no—
545C22×C4×C83—22no—
546C22×C4×C83—41no—
547C22×C4×C83—41no—
548C22×C4×C83—41no—
549C22×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—
556C22×C4×C83C22×C414yes—
557C22×C4×C83C22×C414yes—
558C22×C4×C83C22×C414yes—
559C22×C4×C83C22×C414yes—
560C22×C4×C83C22×C414yes—
561C22×C4×C83C22×C414yes—
562C22×C4×C83C2411yescharacteristic
563C22×C4×C83C2411yescharacteristic
564C22×C4×C83C2411yescharacteristic
565C22×C4×C83C2411yescharacteristic
566C22×C4×C83C2411yescharacteristic
567C22×C4×C83C2411yescharacteristic
568C22×C4×C83C2411yescharacteristic
569C22×C4×C83C2411yescharacteristic
570C22×C4×C83C2411yescharacteristic
571C4⋊C4×C83C22×C414yes—
572C4⋊C4×C83C22×C414yes—
573C4⋊C4×C83C22×C414yes—
574C4⋊C4×C83C22×C414yes—
575C22⋊C4×C83C22×C414yes—
576C22⋊C4×C83C22×C414yes—
577C22⋊C4×C83C22×C414yes—
578C22⋊C4×C83C22×C414yes—
579C22⋊C4×C83C22×C414yes—
580C22⋊C4×C83C22×C414yes—
581C22⋊C4×C83C22×C414yes—
582C22⋊C4×C83C22×C414yes—
583C22⋊C4×C83C22×C414yes—
584C22⋊C4×C83C22×C414yes—
585C22⋊C4×C83C22×C414yes—
586C22⋊C4×C83C22×C414yes—
587C42×C83C22×C414yes—
588C23×C83—21no—
589C23×C83—21no—
590C23×C83—21no—
591C23×C83—21no—
592C23×C83—21no—
593C23×C83—21no—
594C23×C83—21no—
595C23×C83—21no—
596C23×C83—21no—
597C23×C83—21no—
598C23×C83—21no—
599C23×C83—21no—
600C23×C83—21no—
601C23×C83—21no—
602C23×C83—21no—
603C23×C83—21no—
604C23×C83—21no—
605C23×C83—21no—
606C23×C83—21no—
607C23×C83—21no—
608C23×C83—21no—
609C23×C83—21no—
610C23×C83—21no—
611C23×C83—21no—
612C23×C83—21no—
613C23×C83—21no—
614C23×C83—21no—
615C23×C83—21no—
616C23×C83—21no—
617C23×C83—21no—
618C23×C83—21no—
619C23×C83—21no—
620C23×C83—21no—
621C23×C83—21no—
622C23×C83—28no—
623C23×C83—44no—
624C23×C83—44no—
625C23×C83—44no—
626C23×C83—44no—
627C23×C83—44no—
628C23×C83—82no—
629C23×C83—82no—
630C23×C83—82no—
631C23×C83—82no—
632C23×C83—82no—
633C23×C83—82no—
634C23×C83—82no—
635C23×C83—82no—
636C23×C83C23×C412yes—
637C23×C83C23×C412yes—
638C23×C83C23×C412yes—
639C23×C83C23×C412yes—
640C23×C83C23×C412yes—
641C23×C83C23×C412yes—
642C23×C83H(5,𝔽2)12yes—
643C23×C83H(5,𝔽2)12yes—
644C23×C83C2511yescharacteristic
645Q8×C83—44no—
646D4×C83—28no—
647D4×C83—28no—
648D4×C83—28no—
649D4×C83—44no—
650D4×C83—44no—
651D4×C83—44no—
652D4×C83—44no—
653D4×C83—44no—
654D4×C83—44no—
655C2×C4×C83—28no—
656C2×C4×C83—21no—
657C2×C4×C83—21no—
658C2×C4×C83—21no—
659C2×C4×C83—21no—
660C2×C4×C83—21no—
661C2×C4×C83—21no—
662C2×C4×C83—21no—
663C2×C4×C83—21no—
664C2×C4×C83—21no—
665C2×C4×C83—21no—
666C2×C4×C83—21no—
667C2×C4×C83—21no—
668C2×C4×C83—21no—
669C2×C4×C83—21no—
670C2×C4×C83—21no—
671C2×C4×C83—21no—
672C2×C4×C83—21no—
673C2×C4×C83—21no—
674C2×C4×C83—44no—
675C2×C4×C83—44no—
676C2×C4×C83—44no—
677C2×C4×C83—44no—
678C2×C4×C83—44no—
679C2×C4×C83C23×C412yes—
680C2×C4×C83C23×C412yes—
681C2×C4×C83C23×C412yes—
682C2×C4×C83C23×C412yes—
683C2×C4×C83C23×C412yes—
684C2×C4×C83C23×C412yes—
685C2×C4×C83C23×C412yes—
686C2×C4×C83C23×C412yes—
687C2×C4×C83C23×C412yes—
688C2×Dic83—21no—
689C2×Dic83—21no—
690C2×Dic83—21no—
691C2×Dic83—21no—
692C2×Dic83—21no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—21no—
707C2×Dic83—21no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—21no—
711C2×Dic83—21no—
712C2×Dic83—21no—
713C2×Dic83—21no—
714C2×Dic83—21no—
715C2×Dic83—21no—
716C2×Dic83—21no—
717C2×Dic83—21no—
718C2×Dic83—21no—
719C2×Dic83—21no—
720C2×Dic83—21no—
721C2×Dic83—21no—
722C2×Dic83—21no—
723C2×Dic83—21no—
724C2×Dic83—21no—
725C2×Dic83—21no—
726C2×Dic83—21no—
727C2×Dic83—21no—
728C2×Dic83—21no—
729C2×Dic83—21no—
730C2×Dic83—21no—
731C2×Dic83—21no—
732C2×Dic83—21no—
733C2×Dic83—21no—
734C2×Dic83—21no—
735C2×Dic83—44no—
736C2×Dic83—44no—
737C2×Dic83—82no—
738C2×Dic83—82no—
739C2×Dic83—82no—
740C2×Dic83—82no—
741C2×Dic83—82no—
742C2×Dic83—82no—
743C2×Dic83—82no—
744C2×Dic83—82no—
745C2×Dic83H(5,𝔽2)12yes—
746C22×C83—22no—
747C22×C83—22no—
748C22×C83—22no—
749C22×C83—22no—
750C22×C83—22no—
751C22×C83—22no—
752C22×C83—22no—
753C22×C83—22no—
754C22×C83—22no—
755C22×C83—22no—
756C22×C83—22no—
757C22×C83—22no—
758C22×C83—22no—
759C22×C83—22no—
760C22×C83—22no—
761C22×C83—22no—
762C22×C83—22no—
763C22×C83—22no—
764C22×C83—22no—
765C22×C83—22no—
766C22×C83—22no—
767C22×C83—41no—
768C22×C83—41no—
769C22×C83—41no—
770C22×C83—41no—
771C22×C83—41no—
772C22×C83—41no—
773C22×C83—41no—
774C22×C83—41no—
775C22×C83—41no—
776C22×C83—41no—
777C22×C83—41no—
778C22×C83—41no—
779C22×C83—41no—
780C22×C83—41no—
781C22×C83—41no—
782C22×C83—41no—
783C22×C83—41no—
784C22×C83—41no—
785C22×C83—41no—
786C22×C83—41no—
787C22×C83—88no—
788C22×C83—88no—
789C22×C83#51814yes—
790C22×C83C24×C411yescharacteristic
791C22×C83C2×H(5,𝔽2)11yescharacteristic
792C22×C83C2×H(5,𝔽2)11yescharacteristic
793C22×C83C2×H(5,𝔽2)11yescharacteristic
794C22×C83#58511yescharacteristic
795C22×C83#58511yescharacteristic
796C22×C83#58511yescharacteristic
797C4×C83—22no—
798C4×C83—22no—
799C4×C83—22no—
800C4×C83—22no—
801C4×C83—22no—
802C4×C83—22no—
803C4×C83—22no—
804C4×C83—22no—
805C4×C83—22no—
806Dic83—22no—
807Dic83—41no—
808Dic83—41no—
809Dic83—41no—
810Dic83—41no—
811Dic83—41no—
812Dic83—41no—
813Dic83—41no—
814Dic83—41no—
815Dic83—41no—
816Dic83—41no—
817Dic83—41no—
818Dic83—41no—
819Dic83—41no—
820Dic83—41no—
821Dic83—41no—
822#34492—831nomaximal, Sylow
823C2×C83—24no—
824C2×C83—42no—
825C2×C83—42no—
826C2×C83—42no—
827C2×C83—42no—
828C2×C83—42no—
829C2×C83C2×#51811yescharacteristic
830C2×C83#342811yescharacteristic
831C2×C83C4×H(5,𝔽2)11yescharacteristic
832C2×C83#353411yescharacteristic
833C2×C83#354211yescharacteristic
834C2×C83#354511yescharacteristic
835C2×C83#356011yescharacteristic
836C2×#546D8311yescharacteristic
837#2378—831no—
838#2377—831no—
839#2376—831no—
840#2375—831no—
841#2372—831no—
842#2364—831no—
843#2363—831no—
844#2359—831no—
845#2358—831no—
846#2353—831no—
847#2353—831no—
848#2342—831no—
849#2342—831no—
850#2339—831no—
851D4×C22⋊C4—831no—
852#2337—831no—
853#2335—831no—
854#2333—831no—
855#2332—831no—
856#2325—831no—
857#2322—831no—
858#2321—831no—
859#2321—831no—
860#2319—831no—
861#2312—831no—
862#2311—831no—
863#2308—831no—
864C4×#121—831no—
865#2290—831no—
866C2×#388—831no—
867C83#3449211yescharacteristic, complemented, Sylow
868C22×#41C2×D8311yescharacteristic
869C23×D4C2×D8311yescharacteristic
870#546Dic83116yescomplemented
871C2×#124C2×D8311yescharacteristic
872C2×#123C2×D8311yescharacteristic
873C2×#123C2×D8311yescharacteristic
874C2×C22⋊Q8C2×D8311yescharacteristic
875C2×#121C2×D8311yescharacteristic
876C2×#121C2×D8311yescharacteristic
877C2×#121C2×D8311yescharacteristic
878C2×#120C2×D8311yescharacteristic
879C2×#120C2×D8311yescharacteristic
880C2×C4×D4—831no—
881C2×C4×D4—831no—
882C2×C4×D4—831no—
883C2×C4×D4—831no—
884C2×C4×D4—831no—
885C2×C4×D4—831no—
886C2×C4×D4C2×D8311yescharacteristic
887C2×C4×D4C2×D8311yescharacteristic
888C2×#117—831no—
889C2×#117—831no—
890C22×C4⋊C4—831no—
891C22×C22⋊C4—831no—
892C22×C22⋊C4—831no—
893C22×C22⋊C4—831no—
894C22×C22⋊C4—831no—
895C22×C22⋊C4C2×D8311yescharacteristic
896C22×C22⋊C4C2×D8311yescharacteristic
897C22×C42—831no—
898#391—831no—
899#391—831no—
900#391—831no—
901#391—831no—
902#390—831no—
903#390—831no—
904#390—831no—
905#390—831no—
906#390—831no—
907#390—831no—
908#390—831no—
909#390—831no—
910#389—831no—
911#389—831no—
912#389—831no—
913#389—831no—
914#388—831no—
915#388—831no—
916#388—831no—
917#388—831no—
918#388—831no—
919#388—831no—
920#388—831no—
921#388—831no—
922#388—831no—
923#388—831no—
924#388—831no—
925#388—831no—
926#388—831no—
927#388—831no—
928#388—831no—
929#388—831no—
930#388—831no—
931#388—831no—
932#388—831no—
933#388—831no—
934#388—831no—
935#388—831no—
936#388—831no—
937#388—831no—
938#388—831no—
939#388—831no—
940#388—831no—
941#388—831no—
942#388—831no—
943#388—831no—
944#387—831no—
945#387—831no—
946#387—831no—
947#387—831no—
948#387—831no—
949#387—831no—
950#387—831no—
951#387—831no—
952#387—831no—
953#387—831no—
954#386—831no—
955#386—831no—
956#386—831no—
957#386—831no—
958#386—831no—
959#386—831no—
960#386—831no—
961#386—831no—
962#386—831no—
963#386—831no—
964#386—831no—
965#386—831no—
966#386—831no—
967#386—831no—
968#386—831no—
969#386—831no—
970#386—831no—
971#386—831no—
972#386—831no—
973#386—831no—
974#386—831no—
975#386—831no—
976#385—831no—
977#385—831no—
978#385—831no—
979#385—831no—
980#385—831no—
981#385—831no—
982#385—831no—
983#385—831no—
984#383—831no—
985#381—831no—
986#381—831no—
987#381—831no—
988#381—831no—
989#381—831no—
990#380—831no—
991#380—831no—
992#380—831no—
993#380—831no—
994#380—831no—
995#380—831no—
996#380—831no—
997#379—831no—
998#379—831no—
999#379—831no—
1000#379—831no—
1001C4×C4⋊C4—831no—
1002C4×C4⋊C4—831no—
1003C4×C4⋊C4—831no—
1004C4×C22⋊C4—831no—
1005C4×C22⋊C4—831no—
1006C4×C22⋊C4—831no—
1007C4×C22⋊C4—831no—
1008C4×C22⋊C4—831no—
1009C4×C22⋊C4—831no—
1010C4×C22⋊C4—831no—
1011C4×C22⋊C4—831no—
1012C4×C22⋊C4—831no—
1013C4×C22⋊C4—831no—
1014C4×C22⋊C4—831no—
1015C4×C22⋊C4—831no—
1016C4×C22⋊C4—831no—
1017C4×C22⋊C4—831no—
1018C4×C22⋊C4—831no—
1019#376—831no—
1020#376—831no—
1021C2×#95—831no—
1022C2×#95—831no—
1023C2×#95—831no—
1024C25C22×D8311yescharacteristic
1025C25C22×D8311yescharacteristic
1026C2×#41—42no—
1027C2×#41—42no—
1028C2×#41C2×Dic8318yescomplemented
1029C22×Q8C22×D8311yescharacteristic
1030C22×D4—42no—
1031C22×D4—42no—
1032C22×D4C2×Dic8318yescomplemented
1033C22×D4C22×D8311yescharacteristic
1034C22×D4C22×D8311yescharacteristic
1035C22×D4C22×D8311yescharacteristic
1036C22×D4C22×D8311yescharacteristic
1037C22×D4C22×D8311yescharacteristic
1038C22×D4C22×D8311yescharacteristic
1039C22×D4C22×D8311yescharacteristic
1040C22×D4C22×D8311yescharacteristic
1041C22×D4C22×D8311yescharacteristic
1042C23×C4—831no—
1043C23×C4—831no—
1044C23×C4—831no—
1045C23×C4—831no—
1046C23×C4—831no—
1047C23×C4—831no—
1048C23×C4—831no—
1049C23×C4—831no—
1050C23×C4—831no—
1051C23×C4—831no—
1052C23×C4C22×D8311yescharacteristic
1053C23×C4C22×D8311yescharacteristic
1054C23×C4C22×D8311yescharacteristic
1055C23×C4C22×D8311yescharacteristic
1056C23×C4C22×D8311yescharacteristic
1057C23×C4C22×D8311yescharacteristic
1058#124C2×Dic8318yescomplemented
1059#123C2×Dic8318yescomplemented
1060#123C2×Dic8318yescomplemented
1061C22⋊Q8C2×Dic8318yescomplemented
1062#121C2×Dic8318yescomplemented
1063#121C2×Dic8318yescomplemented
1064#121C2×Dic8318yescomplemented
1065#120C2×Dic8318yescomplemented
1066#120C2×Dic8318yescomplemented
1067C4×D4—3322no—
1068C4×D4—3322no—
1069C4×D4—3322no—
1070C4×D4—3322no—
1071C4×D4—3322no—
1072C4×D4—3322no—
1073C4×D4C2×Dic8318yescomplemented
1074C4×D4C2×Dic8318yescomplemented
1075#117—3322no—
1076#117—3322no—
1077C2×C4⋊C4—3322no—
1078C2×C4⋊C4—831no—
1079C2×C4⋊C4—831no—
1080C2×C4⋊C4—831no—
1081C2×C4⋊C4—831no—
1082C2×C4⋊C4—831no—
1083C2×C4⋊C4—831no—
1084C2×C4⋊C4—831no—
1085C2×C4⋊C4—831no—
1086C2×C4⋊C4—831no—
1087C2×C4⋊C4—831no—
1088C2×C4⋊C4—831no—
1089C2×C4⋊C4—831no—
1090C2×C4⋊C4—831no—
1091C2×C4⋊C4—831no—
1092C2×C4⋊C4—831no—
1093C2×C4⋊C4—831no—
1094C2×C4⋊C4C22×D8311yescharacteristic
1095C2×C4⋊C4C22×D8311yescharacteristic
1096C2×C4⋊C4C22×D8311yescharacteristic
1097C2×C4⋊C4C22×D8311yescharacteristic
1098C2×C22⋊C4—3322no—
1099C2×C22⋊C4—3322no—
1100C2×C22⋊C4—3322no—
1101C2×C22⋊C4—3322no—
1102C2×C22⋊C4—831no—
1103C2×C22⋊C4—831no—
1104C2×C22⋊C4—831no—
1105C2×C22⋊C4—831no—
1106C2×C22⋊C4—831no—
1107C2×C22⋊C4—831no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—831no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—831no—
1118C2×C22⋊C4—831no—
1119C2×C22⋊C4—831no—
1120C2×C22⋊C4—831no—
1121C2×C22⋊C4—831no—
1122C2×C22⋊C4—831no—
1123C2×C22⋊C4—831no—
1124C2×C22⋊C4—831no—
1125C2×C22⋊C4—831no—
1126C2×C22⋊C4—831no—
1127C2×C22⋊C4—831no—
1128C2×C22⋊C4—831no—
1129C2×C22⋊C4—831no—
1130C2×C22⋊C4—831no—
1131C2×C22⋊C4—831no—
1132C2×C22⋊C4—831no—
1133C2×C22⋊C4—831no—
1134C2×C22⋊C4—831no—
1135C2×C22⋊C4—831no—
1136C2×C22⋊C4—831no—
1137C2×C22⋊C4—831no—
1138C2×C22⋊C4—831no—
1139C2×C22⋊C4—831no—
1140C2×C22⋊C4C2×Dic8318yescomplemented
1141C2×C22⋊C4C2×Dic8318yescomplemented
1142C2×C22⋊C4C22×D8311yescharacteristic
1143C2×C22⋊C4C22×D8311yescharacteristic
1144C2×C22⋊C4C22×D8311yescharacteristic
1145C2×C22⋊C4C22×D8311yescharacteristic
1146C2×C22⋊C4C22×D8311yescharacteristic
1147C2×C22⋊C4C22×D8311yescharacteristic
1148C2×C22⋊C4C22×D8311yescharacteristic
1149C2×C22⋊C4C22×D8311yescharacteristic
1150C2×C22⋊C4C22×D8311yescharacteristic
1151C2×C22⋊C4C22×D8311yescharacteristic
1152C2×C22⋊C4C22×D8311yescharacteristic
1153C2×C22⋊C4C22×D8311yescharacteristic
1154C2×C42—3322no—
1155C2×C42—831no—
1156C2×C42—831no—
1157C2×C42—831no—
1158C2×C42—831no—
1159C2×C42—831no—
1160C2×C42—831no—
1161C2×C42—831no—
1162C2×C42—831no—
1163C2×C42—831no—
1164C2×C42—831no—
1165C2×C42—831no—
1166C2×C42—831no—
1167C2×C42—831no—
1168C2×C42—831no—
1169C2×C42—831no—
1170C2×C42—831no—
1171C2×C42C22×D8311yescharacteristic
1172#95—831no—
1173#95—831no—
1174#95—831no—
1175#95—831no—
1176#95—831no—
1177#95—831no—
1178#95—831no—
1179#95—831no—
1180#95—831no—
1181#95—831no—
1182#95—831no—
1183#95—831no—
1184#95—831no—
1185#95—831no—
1186#95—831no—
1187#95—831no—
1188#95—831no—
1189#95—831no—
1190#95—831no—
1191#95—831no—
1192#95—831no—
1193#95—831no—
1194#95—831no—
1195#95—831no—
1196#95—831no—
1197#95—831no—
1198#95—831no—
1199#95—831no—
1200#95—831no—
1201#95—831no—
1202#95—831no—
1203#95—831no—
1204#95—831no—
1205#95—831no—
1206#95—831no—
1207#95—831no—
1208#95—831no—
1209#95—831no—
1210#95—831no—
1211#95—831no—
1212C24—22no—
1213C24—22no—
1214C24—41no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—41no—
1219C24—41no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24C22×Dic8314yes—
1225C24C22×Dic8314yes—
1226C24C23×D8311yescharacteristic
1227C24C23×D8311yescharacteristic
1228C24C23×D8311yescharacteristic
1229C24C23×D8311yescharacteristic
1230C24C23×D8311yescharacteristic
1231C24C23×D8311yescharacteristic
1232#41—416no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8C22×Dic8314yes—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—416no—
1255C2×D4C22×Dic8314yes—
1256C2×D4C22×Dic8314yes—
1257C2×D4C22×Dic8314yes—
1258C2×D4C22×Dic8314yes—
1259C2×D4C22×Dic8314yes—
1260C2×D4C22×Dic8314yes—
1261C2×D4C22×Dic8314yes—
1262C2×D4C22×Dic8314yes—
1263C2×D4C22×Dic8314yes—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—3321no—
1277C22×C4—3321no—
1278C22×C4—3321no—
1279C22×C4—3321no—
1280C22×C4—3321no—
1281C22×C4—3321no—
1282C22×C4—3321no—
1283C22×C4—3321no—
1284C22×C4—3321no—
1285C22×C4—3321no—
1286C22×C4—3321no—
1287C22×C4—3321no—
1288C22×C4—3321no—
1289C22×C4—3321no—
1290C22×C4—3321no—
1291C22×C4—3321no—
1292C22×C4—3321no—
1293C22×C4—3321no—
1294C22×C4—3321no—
1295C22×C4—3321no—
1296C22×C4—3321no—
1297C22×C4—3321no—
1298C22×C4—3321no—
1299C22×C4—831no—
1300C22×C4—831no—
1301C22×C4—831no—
1302C22×C4—831no—
1303C22×C4—831no—
1304C22×C4—831no—
1305C22×C4—831no—
1306C22×C4—831no—
1307C22×C4—831no—
1308C22×C4—831no—
1309C22×C4—831no—
1310C22×C4—831no—
1311C22×C4—831no—
1312C22×C4—831no—
1313C22×C4—831no—
1314C22×C4—831no—
1315C22×C4—1662no—
1316C22×C4—1662no—
1317C22×C4—1662no—
1318C22×C4—1662no—
1319C22×C4—1662no—
1320C22×C4—1662no—
1321C22×C4—1662no—
1322C22×C4C22×Dic8314yes—
1323C22×C4C22×Dic8314yes—
1324C22×C4C22×Dic8314yes—
1325C22×C4C22×Dic8314yes—
1326C22×C4C22×Dic8314yes—
1327C22×C4C22×Dic8314yes—
1328C22×C4C23×D8311yescharacteristic
1329C22×C4C23×D8311yescharacteristic
1330C22×C4C23×D8311yescharacteristic
1331C22×C4C23×D8311yescharacteristic
1332C22×C4C23×D8311yescharacteristic
1333C22×C4C23×D8311yescharacteristic
1334C22×C4C23×D8311yescharacteristic
1335C22×C4C23×D8311yescharacteristic
1336C22×C4C23×D8311yescharacteristic
1337C4⋊C4—3321no—
1338C4⋊C4—3321no—
1339C4⋊C4—3321no—
1340C4⋊C4—3321no—
1341C4⋊C4—3321no—
1342C4⋊C4—3321no—
1343C4⋊C4—3321no—
1344C4⋊C4—3321no—
1345C4⋊C4—3321no—
1346C4⋊C4—3321no—
1347C4⋊C4—3321no—
1348C4⋊C4—3321no—
1349C4⋊C4—3321no—
1350C4⋊C4—3321no—
1351C4⋊C4—3321no—
1352C4⋊C4—1662no—
1353C4⋊C4C22×Dic8314yes—
1354C4⋊C4C22×Dic8314yes—
1355C4⋊C4C22×Dic8314yes—
1356C4⋊C4C22×Dic8314yes—
1357C22⋊C4—3321no—
1358C22⋊C4—3321no—
1359C22⋊C4—3321no—
1360C22⋊C4—3321no—
1361C22⋊C4—3321no—
1362C22⋊C4—3321no—
1363C22⋊C4—3321no—
1364C22⋊C4—3321no—
1365C22⋊C4—3321no—
1366C22⋊C4—3321no—
1367C22⋊C4—3321no—
1368C22⋊C4—3321no—
1369C22⋊C4—3321no—
1370C22⋊C4—3321no—
1371C22⋊C4—3321no—
1372C22⋊C4—3321no—
1373C22⋊C4—3321no—
1374C22⋊C4—3321no—
1375C22⋊C4—3321no—
1376C22⋊C4—3321no—
1377C22⋊C4—3321no—
1378C22⋊C4—3321no—
1379C22⋊C4—3321no—
1380C22⋊C4—3321no—
1381C22⋊C4—3321no—
1382C22⋊C4—3321no—
1383C22⋊C4—3321no—
1384C22⋊C4—3321no—
1385C22⋊C4—3321no—
1386C22⋊C4—3321no—
1387C22⋊C4—3321no—
1388C22⋊C4—1662no—
1389C22⋊C4—1662no—
1390C22⋊C4—1662no—
1391C22⋊C4—1662no—
1392C22⋊C4—1662no—
1393C22⋊C4—1662no—
1394C22⋊C4—1662no—
1395C22⋊C4C22×Dic8314yes—
1396C22⋊C4C22×Dic8314yes—
1397C22⋊C4C22×Dic8314yes—
1398C22⋊C4C22×Dic8314yes—
1399C22⋊C4C22×Dic8314yes—
1400C22⋊C4C22×Dic8314yes—
1401C22⋊C4C22×Dic8314yes—
1402C22⋊C4C22×Dic8314yes—
1403C22⋊C4C22×Dic8314yes—
1404C22⋊C4C22×Dic8314yes—
1405C22⋊C4C22×Dic8314yes—
1406C22⋊C4C22×Dic8314yes—
1407C42—3321no—
1408C42—3321no—
1409C42—3321no—
1410C42—3321no—
1411C42—3321no—
1412C42—3321no—
1413C42—3321no—
1414C42—3321no—
1415C42—3321no—
1416C42—3321no—
1417C42—3321no—
1418C42—3321no—
1419C42—3321no—
1420C42—3321no—
1421C42—1662no—
1422C42—1662no—
1423C42C22×Dic8314yes—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—28no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—82no—
1465C23—82no—
1466C23—82no—
1467C23—82no—
1468C23—82no—
1469C23—82no—
1470C23—82no—
1471C23—82no—
1472C23C23×Dic8312yes—
1473C23C23×Dic8312yes—
1474C23C23×Dic8312yes—
1475C23C23×Dic8312yes—
1476C23C23×Dic8312yes—
1477C23C23×Dic8312yes—
1478C23#1458183712yes—
1479C23#1458183712yes—
1480C23C24×D8311yescharacteristic
1481Q8—44no—
1482D4—28no—
1483D4—28no—
1484D4—28no—
1485D4—44no—
1486D4—44no—
1487D4—44no—
1488D4—44no—
1489D4—44no—
1490D4—44no—
1491C2×C4—28no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—44no—
1513C2×C4—44no—
1514C2×C4—44no—
1515C2×C4—3324no—
1516C2×C4—3324no—
1517C2×C4—832no—
1518C2×C4—6642no—
1519C2×C4—6642no—
1520C2×C4—6642no—
1521C2×C4—6642no—
1522C2×C4—6642no—
1523C2×C4—6642no—
1524C2×C4—6642no—
1525C2×C4—6642no—
1526C2×C4—1661no—
1527C2×C4—1661no—
1528C2×C4—1661no—
1529C2×C4—1661no—
1530C2×C4—1661no—
1531C2×C4—1661no—
1532C2×C4—1661no—
1533C2×C4—1661no—
1534C2×C4—1661no—
1535C2×C4—1661no—
1536C2×C4—1661no—
1537C2×C4—1661no—
1538C2×C4—1661no—
1539C2×C4—1661no—
1540C2×C4—1661no—
1541C2×C4—1661no—
1542C2×C4—1661no—
1543C2×C4—1661no—
1544C2×C4—1661no—
1545C2×C4—1661no—
1546C2×C4—1661no—
1547C2×C4—1661no—
1548C2×C4—1661no—
1549C2×C4—1661no—
1550C2×C4—1661no—
1551C2×C4—1661no—
1552C2×C4—1661no—
1553C2×C4—1661no—
1554C2×C4—1661no—
1555C2×C4—1661no—
1556C2×C4—1661no—
1557C2×C4—1661no—
1558C2×C4—1661no—
1559C2×C4—1661no—
1560C2×C4—1661no—
1561C2×C4—1661no—
1562C2×C4—1661no—
1563C2×C4—1661no—
1564C2×C4—1661no—
1565C2×C4—1661no—
1566C2×C4—1661no—
1567C2×C4—1661no—
1568C2×C4—1661no—
1569C2×C4—1661no—
1570C2×C4—1661no—
1571C2×C4—1661no—
1572C2×C4—1661no—
1573C2×C4C23×Dic8312yes—
1574C2×C4C23×Dic8312yes—
1575C2×C4C23×Dic8312yes—
1576C2×C4C23×Dic8312yes—
1577C2×C4C23×Dic8312yes—
1578C2×C4C23×Dic8312yes—
1579C2×C4C23×Dic8312yes—
1580C2×C4C23×Dic8312yes—
1581C2×C4C23×Dic8312yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—88no—
1624C22—88no—
1625C22#1912817614yes—
1626C22C24×Dic8311yescharacteristic
1627C22H(5,𝔽2)×D8311yescharacteristic
1628C22C2×#1458183711yescharacteristic
1629C22C2×#1458183711yescharacteristic
1630C22#1912853611yescharacteristic
1631C22#1912853711yescharacteristic
1632C22#1912853711yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—3321no—
1643C4—3321no—
1644C4—3321no—
1645C4—3321no—
1646C4—3321no—
1647C4—3321no—
1648C4—3321no—
1649C4—3321no—
1650C4—3321no—
1651C4—3321no—
1652C4—3321no—
1653C4—3321no—
1654C4—3321no—
1655C4—3321no—
1656C4—3321no—
1657C4—1662no—
1658C2—24no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—42no—
1663C2—42no—
1664C2C2×#1912817611yescharacteristic
1665C2#2492066611yescharacteristic
1666C2H(5,𝔽2)×Dic8311yescharacteristic
1667C2#2492164811yescharacteristic
1668C2#2492176411yescharacteristic
1669C2#2492181011yescharacteristic
1670C2#2492200711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
Fitting, prime radicalC2×#546×C83C2
socle, cosocleC23×C83C25
hypercenterC2×#546D83
hypocenterC83#34492
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #24910629C2semidirect
2. #24910620C2semidirect
3. #24910611C2semidirect
4. #24910604C2semidirect
5. #24910575C2semidirect
6. #24910515C2semidirect
7. #24910505C2semidirect
8. #24910459C2semidirect
9. #24910447C2semidirect
10. #24910403C2semidirect
11. #24910403C2semidirect
12. #24910312C2semidirect
13. #24910312C2semidirect
14. #24910293C2semidirect
15. D4×C22⋊Dic83C2semidirect
16. #24910278C2semidirect
17. #24910257C2semidirect
18. #24910230C2semidirect
19. #24910221C2semidirect
20. #24910168C2semidirect
21. #24910135C2semidirect
22. #24910124C2semidirect
23. #24910124C2semidirect
24. #24910106C2semidirect
25. #24910061C2semidirect
26. #24910055C2semidirect
27. #24910041C2semidirect
28. #121×Dic83C2semidirect
29. #24909908C2semidirect
30. C2×#19127594C2semidirect
34. C2×D4×Dic83C22semidirect
35. C2×D4×Dic83C22semidirect
36. C2×D4×Dic83C22semidirect
37. C2×D4×Dic83C22semidirect
38. C2×#14581751C22semidirect
39. C2×#14581751C22semidirect
40. C22×C4⋊Dic83C22semidirect
45. C22×C4×Dic83C22semidirect
46. #19127608C22semidirect
47. #19127608C22semidirect
48. #19127608C22semidirect
49. #19127608C22semidirect
54. #19127604C22semidirect
55. #19127604C22semidirect
56. #19127604C22semidirect
57. #19127604C22semidirect
58. #19127600C22semidirect
59. #19127600C22semidirect
60. #19127600C22semidirect
61. #19127600C22semidirect
74. #19127594C22semidirect
75. #19127594C22semidirect
76. #19127594C22semidirect
77. #19127594C22semidirect
78. #19127594C22semidirect
79. #19127594C22semidirect
80. #19127594C22semidirect
81. #19127594C22semidirect
82. #19127594C22semidirect
83. #19127594C22semidirect
84. #19127594C22semidirect
85. #19127594C22semidirect
86. #19127594C22semidirect
87. #19127594C22semidirect
88. #19127594C22semidirect
89. #19127594C22semidirect
90. #19127594C22semidirect
91. #19127594C22semidirect
92. #19127587C22semidirect
93. #19127587C22semidirect
94. #19127587C22semidirect
95. #19127587C22semidirect
96. #19127587C22semidirect
97. #19127587C22semidirect
98. #19127587C22semidirect
99. #19127587C22semidirect
100. #19127587C22semidirect
101. #19127587C22semidirect
116. #19127581C22semidirect
117. #19127581C22semidirect
118. #19127581C22semidirect
119. #19127581C22semidirect
120. #19127581C22semidirect
121. #19127581C22semidirect
122. #19127581C22semidirect
123. #19127581C22semidirect
124. #19127576C22semidirect
125. #19127576C22semidirect
126. #19127576C22semidirect
127. #19127576C22semidirect
128. #19127576C22semidirect
129. #19127576C22semidirect
130. #19127576C22semidirect
131. #19127576C22semidirect
132. #19127569C22semidirect
135. #19127564C22semidirect
136. #19127564C22semidirect
137. #19127564C22semidirect
139. #19127561C22semidirect
140. #19127561C22semidirect
141. #19127561C22semidirect
142. #19127561C22semidirect
143. #19127561C22semidirect
144. #19127561C22semidirect
149. C4⋊C4×Dic83C22semidirect
150. C4⋊C4×Dic83C22semidirect
151. C4×C4⋊Dic83C22semidirect
152. C22⋊C4×Dic83C22semidirect
153. C22⋊C4×Dic83C22semidirect
154. C22⋊C4×Dic83C22semidirect
155. C22⋊C4×Dic83C22semidirect
156. C22⋊C4×Dic83C22semidirect
157. C22⋊C4×Dic83C22semidirect
158. C22⋊C4×Dic83C22semidirect
159. C22⋊C4×Dic83C22semidirect
160. C22⋊C4×Dic83C22semidirect
161. C22⋊C4×Dic83C22semidirect
163. C4×C22⋊Dic83C22semidirect
164. C4×C22⋊Dic83C22semidirect
165. C4×C22⋊Dic83C22semidirect
166. C4×C22⋊Dic83C22semidirect
167. #19127547C22semidirect
168. #19127547C22semidirect
169. C2×C83⋊#95C22semidirect
170. C2×C83⋊#95C22semidirect
171. C2×C83⋊#95C22semidirect
174. #546×C83C4semidirect
326. C2×#41×C83C2×C4semidirect
330. C22×D4×C83C2×C4semidirect
346. #124×C83C2×C4semidirect
347. #123×C83C2×C4semidirect
348. #123×C83C2×C4semidirect
349. C22⋊Q8×C83C2×C4semidirect
350. #121×C83C2×C4semidirect
351. #121×C83C2×C4semidirect
352. #121×C83C2×C4semidirect
353. #120×C83C2×C4semidirect
354. #120×C83C2×C4semidirect
355. C4×D4×C83C2×C4semidirect
356. C4×D4×C83C2×C4semidirect
361. C2×C22⋊C4×C83C2×C4semidirect
362. C2×C22⋊C4×C83C2×C4semidirect
867. C83#34492semidirect
870. #546Dic83semidirect
1028. C2×#41C2×Dic83semidirect
1032. C22×D4C2×Dic83semidirect
1058. #124C2×Dic83semidirect
1059. #123C2×Dic83semidirect
1060. #123C2×Dic83semidirect
1061. C22⋊Q8C2×Dic83semidirect
1062. #121C2×Dic83semidirect
1063. #121C2×Dic83semidirect
1064. #121C2×Dic83semidirect
1065. #120C2×Dic83semidirect
1066. #120C2×Dic83semidirect
1073. C4×D4C2×Dic83semidirect
1074. C4×D4C2×Dic83semidirect
1140. C2×C22⋊C4C2×Dic83semidirect
1141. C2×C22⋊C4C2×Dic83semidirect

Maximal subgroups

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

subgroupindex
#249106292
#249106202
#249106112
#249106042
#249105752
#249105152
#249105052
#249104592
#249104472
#249104032
#249103122
#249102932
D4×C22⋊Dic832
#249102782
#249102572
#249102302
#249102212
#249101682
#249101352
#249101242
#249101062
#249100612
#249100552
#249100412
#121×Dic832
#249099082
C2×#191275942
C2×#546×C832
#3449283