Finite Group Databasebeta

← #35568963

Subgroups — #35568963

Order 21248.

2500 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128377C211yesmaximal, characteristic
2#24910651C211yesmaximal, characteristic, complemented
3#24910651C211yesmaximal, characteristic, complemented
4#24910636C211yesmaximal, characteristic, complemented
5#24910612C211yesmaximal, characteristic, complemented
6#24910468C211yesmaximal, characteristic, complemented
7#24910463C211yesmaximal, characteristic, complemented
8#24910453C211yesmaximal, characteristic, complemented
9#24910451C211yesmaximal, characteristic, complemented
10#24910442C211yesmaximal, characteristic
11C4⋊C4×C22⋊D83C211yesmaximal, characteristic, complemented
12#24910361C211yesmaximal, characteristic, complemented
13#24910321C211yesmaximal, characteristic, complemented
14#24910319C211yesmaximal, characteristic, complemented
15#24910312C211yesmaximal, characteristic, complemented
16#24910308C211yesmaximal, characteristic, complemented
17#24910239C211yesmaximal, characteristic, complemented
18#24910233C211yesmaximal, characteristic, complemented
19#24910196C211yesmaximal, characteristic, complemented
20#24910194C211yesmaximal, characteristic, complemented
21#24910169C211yesmaximal, characteristic, complemented
22#24910132C211yesmaximal, characteristic, complemented
23#24910131C211yesmaximal, characteristic, complemented
24#24910130C211yesmaximal, characteristic, complemented
25#24910097C211yesmaximal, characteristic, complemented
26#24910091C211yesmaximal, characteristic, complemented
27#24910087C211yesmaximal, characteristic, complemented
28#24910082C211yesmaximal, characteristic, complemented
29C4×#14581761C211yesmaximal, characteristic
30C2×#19127574C211yesmaximal, characteristic, complemented
31C2×#385×C83C211yesmaximal, characteristic, complemented
32#19128377C4116yescomplemented
33C2×#14581785C2211yescharacteristic
34C2×#14581785C2211yescharacteristic
35C2×#14581778C2211yescharacteristic
36C2×#14581776C2211yescharacteristic
37C2×#14581775C2211yescharacteristic
38C2×#14581774C2211yescharacteristic
39C2×#14581771C2211yescharacteristic
40C2×#14581769C2211yescharacteristic
41C2×#14581761C2211yescharacteristic
42C2×#14581757C2211yescharacteristic, complemented
43C2×C4×C22⋊D83C2211yescharacteristic
44C2×C4×C22⋊D83C2211yescharacteristic
45C2×C4×C22⋊D83C2211yescharacteristic
46C2×C4×C22⋊D83C2211yescharacteristic
47C2×C4×C22⋊D83C2211yescharacteristic
48C2×(C22⋊D83)⋊C4C2211yescharacteristic
49C2×(C22⋊D83)⋊C4C2211yescharacteristic
50C2×#14581751C2211yescharacteristic
51C2×#14581751C2211yescharacteristic
52C2×#14581748C2211yescharacteristic
53C2×#14581748C2211yescharacteristic
54C22×Dic83⋊C4C2211yescharacteristic
55C22×Dic83⋊C4C2211yescharacteristic
56C2×C4⋊C4×D83C2211yescharacteristic, complemented
57C22×C22⋊Dic83C2211yescharacteristic
58C22×C22⋊Dic83C2211yescharacteristic
59#19127606C2211yescharacteristic, complemented
60#19127605C2211yescharacteristic, complemented
61#19127605C2211yescharacteristic, complemented
62#19127601C2211yescharacteristic
63#19127598C2211yescharacteristic, complemented
64#19127598C2211yescharacteristic, complemented
65#19127598C2211yescharacteristic, complemented
66#19127597C2211yescharacteristic, complemented
67#19127597C2211yescharacteristic, complemented
68#19127597C2211yescharacteristic, complemented
69#19127597C2211yescharacteristic, complemented
70#19127597C2211yescharacteristic, complemented
71#19127596C2211yescharacteristic, complemented
72#19127596C2211yescharacteristic, complemented
73#19127596C2211yescharacteristic, complemented
74#19127596C2211yescharacteristic, complemented
75#19127596C2211yescharacteristic, complemented
76#19127596C2211yescharacteristic, complemented
77#19127595C2211yescharacteristic
78#19127595C2211yescharacteristic
79#19127595C2211yescharacteristic
80#19127594C2211yescharacteristic
81#19127594C2211yescharacteristic
82#19127594C2211yescharacteristic
83#19127594C2211yescharacteristic
84#19127593C2211yescharacteristic, complemented
85#19127591C2211yescharacteristic, complemented
86#19127591C2211yescharacteristic, complemented
87#19127590C2211yescharacteristic, complemented
88#19127590C2211yescharacteristic, complemented
89#19127590C2211yescharacteristic, complemented
90#19127589C2211yescharacteristic
91#19127589C2211yescharacteristic
92#19127589C2211yescharacteristic
93#19127588C2211yescharacteristic, complemented
94#19127588C2211yescharacteristic, complemented
95#19127588C2211yescharacteristic, complemented
96#19127586C2211yescharacteristic, complemented
97#19127586C2211yescharacteristic, complemented
98#19127584C2211yescharacteristic, complemented
99#19127584C2211yescharacteristic, complemented
100#19127584C2211yescharacteristic, complemented
101#19127584C2211yescharacteristic, complemented
102#19127583C2211yescharacteristic, complemented
103#19127583C2211yescharacteristic, complemented
104#19127583C2211yescharacteristic, complemented
105#19127582C2211yescharacteristic, complemented
106#19127582C2211yescharacteristic, complemented
107#19127582C2211yescharacteristic, complemented
108#19127582C2211yescharacteristic, complemented
109#19127580C2211yescharacteristic
110#19127580C2211yescharacteristic
111#19127580C2211yescharacteristic
112#19127580C2211yescharacteristic
113#19127578C2211yescharacteristic
114#19127577C2211yescharacteristic
115#19127576C2211yescharacteristic
116#19127576C2211yescharacteristic
117#19127575C2211yescharacteristic, complemented
118#19127574C2211yescharacteristic
119#19127574C2211yescharacteristic
120#19127574C2211yescharacteristic
121#19127574C2211yescharacteristic
122#19127574C2211yescharacteristic
123#19127574C2211yescharacteristic
124#19127574C2211yescharacteristic
125#19127574C2211yescharacteristic
126#19127574C2211yescharacteristic
127#19127574C2211yescharacteristic
128#19127574C2211yescharacteristic
129#19127574C2211yescharacteristic
130#19127574C2211yescharacteristic
131#19127574C2211yescharacteristic
132#19127573C2211yescharacteristic
133#19127572C2211yescharacteristic, complemented
134#19127572C2211yescharacteristic, complemented
135#19127572C2211yescharacteristic, complemented
136#19127572C2211yescharacteristic, complemented
137#19127570C2211yescharacteristic, complemented
138#19127570C2211yescharacteristic, complemented
139#19127570C2211yescharacteristic, complemented
140#19127568C2211yescharacteristic, complemented
141#19127568C2211yescharacteristic, complemented
142#19127566C2211yescharacteristic, complemented
143#19127566C2211yescharacteristic, complemented
144#19127565C2211yescharacteristic, complemented
145#19127565C2211yescharacteristic, complemented
146#19127564C2211yescharacteristic
147#19127563C2211yescharacteristic, complemented
148#19127562C2211yescharacteristic
149#19127561C2211yescharacteristic
150#19127560C2211yescharacteristic, complemented
151#19127559C2211yescharacteristic
152#19127558C2211yescharacteristic, complemented
153#19127557C2211yescharacteristic
154C4⋊C4×Dic83C2211yescharacteristic, complemented
155C4⋊C4×Dic83C2211yescharacteristic, complemented
156#19127552C2211yescharacteristic, complemented
157#19127552C2211yescharacteristic, complemented
158C22⋊C4×Dic83C2211yescharacteristic
159C22⋊C4×Dic83C2211yescharacteristic
160C22⋊C4×Dic83C2211yescharacteristic
161C22⋊C4×Dic83C2211yescharacteristic
162C4×C22⋊Dic83C2211yescharacteristic
163C4×C22⋊Dic83C2211yescharacteristic
164C4×C22⋊Dic83C2211yescharacteristic
165C4×C22⋊Dic83C2211yescharacteristic
166C4×C22⋊Dic83C2211yescharacteristic
167C4×C22⋊Dic83C2211yescharacteristic
168C4×C22⋊Dic83C2211yescharacteristic
169#19127548C2211yescharacteristic, complemented
170#19127546C2211yescharacteristic, complemented
171C2×C83⋊#95C2211yescharacteristic
172C2×C83⋊#95C2211yescharacteristic
173C24×C4×C83C2211yescharacteristic
174C22×C4⋊C4×C83C2211yescharacteristic
175C22×C4⋊C4×C83C2211yescharacteristic
176C22×C22⋊C4×C83C2211yescharacteristic
177C22×C22⋊C4×C83C2211yescharacteristic
178#385×C83C2211yescharacteristic
179#385×C83C2211yescharacteristic
180#385×C83C2211yescharacteristic
181#385×C83C2211yescharacteristic
182#385×C83C2211yescharacteristic
183#385×C83C2211yescharacteristic
184#385×C83C2211yescharacteristic
185#385×C83C2211yescharacteristic
186C2×#95×C83C2211yescharacteristic
187C2×#95×C83C2211yescharacteristic
188C22×Dic166C2311yescharacteristic
189C22×C22⋊D83C2311yescharacteristic
190C22×C22⋊D83C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C23×Dic83C2311yescharacteristic
193C23×Dic83C2311yescharacteristic
194C23×Dic83C2311yescharacteristic
195C23×Dic83C2311yescharacteristic
196C22×C4×D83C2311yescharacteristic
197C22×C4×D83C2311yescharacteristic
198C22×C4×D83C2311yescharacteristic
199#14581785C2×C418yescomplemented
200#14581785C2×C418yescomplemented
201#14581778C2×C418yescomplemented
202#14581776C2×C418yescomplemented
203#14581775C2×C418yescomplemented
204#14581774C2×C418yescomplemented
205#14581771C2×C418yescomplemented
206#14581769C2×C418yescomplemented
207#14581761C2×C418yes—
208#14581757—42no—
209C4×C22⋊D83—42no—
210C4×C22⋊D83—42no—
211C4×C22⋊D83—42no—
212C4×C22⋊D83—42no—
213C4×C22⋊D83C2×C418yescomplemented
214(C22⋊D83)⋊C4—42no—
215(C22⋊D83)⋊C4C2×C418yescomplemented
216#14581751—42no—
217#14581751C2×C418yescomplemented
218#14581748—42no—
219#14581748C2×C418yescomplemented
220C2×C4⋊Dic83C2311yescharacteristic
221C2×C4⋊Dic83C2311yescharacteristic
222C2×C4⋊Dic83C2311yescharacteristic
223C2×C4⋊Dic83C2311yescharacteristic
224C2×C4⋊Dic83C2311yescharacteristic
225C2×C4⋊Dic83C2311yescharacteristic
226C2×C4⋊Dic83C2311yescharacteristic
227C2×Dic83⋊C4—42no—
228C2×Dic83⋊C4—42no—
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×Dic83⋊C4C2311yescharacteristic
239C2×Dic83⋊C4C2311yescharacteristic
240C2×Dic83⋊C4C2311yescharacteristic
241C2×Dic83⋊C4C2311yescharacteristic
242C2×Dic83⋊C4C2311yescharacteristic
243C2×Dic83⋊C4C2311yescharacteristic
244C2×Dic83⋊C4C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×Dic83⋊C4C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C2×Dic83⋊C4C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C4⋊C4×D83—42no—
253C2×C22⋊Dic83—42no—
254C2×C22⋊Dic83C2×C418yescomplemented
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×C22⋊Dic83C2311yescharacteristic
266C2×C22⋊Dic83C2311yescharacteristic
267C2×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×C22⋊Dic83C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×C22⋊Dic83C2311yescharacteristic
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×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
295C2×C4×Dic83C2311yescharacteristic
296C2×C4×Dic83C2311yescharacteristic
297C2×C4×Dic83C2311yescharacteristic
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
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C25×C83C2311yescharacteristic
335C23×C4×C83—42no—
336C23×C4×C83—42no—
337C23×C4×C83—42no—
338C23×C4×C83C2311yescharacteristic
339C23×C4×C83C2311yescharacteristic
340C23×C4×C83C2311yescharacteristic
341C23×C4×C83C2311yescharacteristic
342C23×C4×C83C2311yescharacteristic
343C23×C4×C83C2311yescharacteristic
344C23×C4×C83C2311yescharacteristic
345C23×C4×C83C2311yescharacteristic
346C23×C4×C83C2311yescharacteristic
347C23×C4×C83C2311yescharacteristic
348C2×C4⋊C4×C83—42no—
349C2×C4⋊C4×C83—42no—
350C2×C4⋊C4×C83C2311yescharacteristic
351C2×C4⋊C4×C83C2311yescharacteristic
352C2×C4⋊C4×C83C2311yescharacteristic
353C2×C4⋊C4×C83C2311yescharacteristic
354C2×C4⋊C4×C83C2311yescharacteristic
355C2×C4⋊C4×C83C2311yescharacteristic
356C2×C4⋊C4×C83C2311yescharacteristic
357C2×C4⋊C4×C83C2311yescharacteristic
358C2×C22⋊C4×C83—42no—
359C2×C22⋊C4×C83C2×C418yescomplemented
360C2×C22⋊C4×C83C2311yescharacteristic
361C2×C22⋊C4×C83C2311yescharacteristic
362C2×C22⋊C4×C83C2311yescharacteristic
363C2×C22⋊C4×C83C2311yescharacteristic
364C2×C22⋊C4×C83C2311yescharacteristic
365C2×C22⋊C4×C83C2311yescharacteristic
366C2×C22⋊C4×C83C2311yescharacteristic
367C2×C22⋊C4×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369#95×C83C2311yescharacteristic
370#95×C83C2311yescharacteristic
371#95×C83C2311yescharacteristic
372#95×C83C2311yescharacteristic
373#95×C83C2311yescharacteristic
374#95×C83C2311yescharacteristic
375#95×C83C2311yescharacteristic
376C23×D83C2411yescharacteristic
377C2×Dic166—41no—
378C2×Dic166—41no—
379C2×Dic166C22×C414yescomplemented
380C2×C22⋊D83—22no—
381C2×C22⋊D83—22no—
382C2×C22⋊D83—22no—
383C2×C22⋊D83—22no—
384C2×C22⋊D83—41no—
385C2×C22⋊D83—41no—
386C2×C22⋊D83C22×C414yes—
387C2×C22⋊D83C22×C414yes—
388C2×C22⋊D83C22×C414yes—
389C22×Dic83—22no—
390C22×Dic83—22no—
391C22×Dic83—22no—
392C22×Dic83—22no—
393C22×Dic83—41no—
394C22×Dic83—41no—
395C22×Dic83—41no—
396C22×Dic83—41no—
397C22×Dic83—41no—
398C22×Dic83—41no—
399C22×Dic83C22×C414yes—
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
414C22×Dic83C2411yescharacteristic
415C22×Dic83C2411yescharacteristic
416C2×C4×D83—22no—
417C2×C4×D83—41no—
418C2×C4×D83—41no—
419C2×C4×D83—41no—
420C2×C4×D83—41no—
421C2×C4×D83—41no—
422C2×C4×D83—41no—
423C2×C4×D83—41no—
424C2×C4×D83C22×C414yescomplemented
425C4⋊Dic83—41no—
426C4⋊Dic83—41no—
427C4⋊Dic83—41no—
428C4⋊Dic83—41no—
429C4⋊Dic83C22×C414yescomplemented
430C4⋊Dic83C22×C414yescomplemented
431C4⋊Dic83C22×C414yescomplemented
432Dic83⋊C4—22no—
433Dic83⋊C4—22no—
434Dic83⋊C4—41no—
435Dic83⋊C4—41no—
436Dic83⋊C4—41no—
437Dic83⋊C4—41no—
438Dic83⋊C4—41no—
439Dic83⋊C4—41no—
440Dic83⋊C4—41no—
441Dic83⋊C4—41no—
442Dic83⋊C4—41no—
443Dic83⋊C4—41no—
444Dic83⋊C4—41no—
445Dic83⋊C4—41no—
446Dic83⋊C4—41no—
447Dic83⋊C4—41no—
448Dic83⋊C4—41no—
449Dic83⋊C4—41no—
450Dic83⋊C4C22×C414yescomplemented
451Dic83⋊C4C22×C414yescomplemented
452Dic83⋊C4C22×C414yescomplemented
453Dic83⋊C4C22×C414yescomplemented
454Dic83⋊C4C22×C414yescomplemented
455C22⋊Dic83—22no—
456C22⋊Dic83—22no—
457C22⋊Dic83—22no—
458C22⋊Dic83—22no—
459C22⋊Dic83—22no—
460C22⋊Dic83—22no—
461C22⋊Dic83—41no—
462C22⋊Dic83—41no—
463C22⋊Dic83—41no—
464C22⋊Dic83—41no—
465C22⋊Dic83C22×C414yes—
466C22⋊Dic83C22×C414yes—
467C22⋊Dic83C22×C414yes—
468C22⋊Dic83C22×C414yes—
469C22⋊Dic83C22×C414yes—
470C22⋊Dic83C22×C414yes—
471C22⋊Dic83C22×C414yes—
472(C2×D83)⋊C4—41no—
473(C2×D83)⋊C4—41no—
474(C2×D83)⋊C4—41no—
475(C2×D83)⋊C4—41no—
476(C2×D83)⋊C4—41no—
477(C2×D83)⋊C4—41no—
478(C2×D83)⋊C4C22×C414yescomplemented
479(C2×D83)⋊C4C22×C414yescomplemented
480(C2×D83)⋊C4C22×C414yescomplemented
481C4×Dic83—22no—
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—
492C4×Dic83—41no—
493C4×Dic83—41no—
494C4×Dic83—41no—
495C4×Dic83C22×C414yescomplemented
496C4×Dic83C22×C414yescomplemented
497C4×Dic83C22×C414yescomplemented
498C24×C83—22no—
499C24×C83—22no—
500C24×C83—22no—
501C24×C83—22no—
502C24×C83—41no—
503C24×C83—41no—
504C24×C83C22×C414yes—
505C24×C83C2411yescharacteristic
506C24×C83C2411yescharacteristic
507C24×C83C2411yescharacteristic
508C22×C4×C83—22no—
509C22×C4×C83—22no—
510C22×C4×C83—22no—
511C22×C4×C83—22no—
512C22×C4×C83—22no—
513C22×C4×C83—22no—
514C22×C4×C83—22no—
515C22×C4×C83—22no—
516C22×C4×C83—22no—
517C22×C4×C83—22no—
518C22×C4×C83—22no—
519C22×C4×C83—41no—
520C22×C4×C83—41no—
521C22×C4×C83—41no—
522C22×C4×C83—41no—
523C22×C4×C83—41no—
524C22×C4×C83—41no—
525C22×C4×C83—41no—
526C22×C4×C83—41no—
527C22×C4×C83—41no—
528C22×C4×C83—41no—
529C22×C4×C83—41no—
530C22×C4×C83—41no—
531C22×C4×C83—41no—
532C22×C4×C83—41no—
533C22×C4×C83—41no—
534C22×C4×C83—41no—
535C22×C4×C83—41no—
536C22×C4×C83—416no—
537C22×C4×C83C22×C414yes—
538C22×C4×C83C22×C414yes—
539C22×C4×C83C2411yescharacteristic
540C22×C4×C83C2411yescharacteristic
541C22×C4×C83C2411yescharacteristic
542C22×C4×C83C2411yescharacteristic
543C22×C4×C83C2411yescharacteristic
544C22×C4×C83C2411yescharacteristic
545C22×C4×C83C2411yescharacteristic
546C22×C4×C83C2411yescharacteristic
547C22×C4×C83C2411yescharacteristic
548C22×C4×C83C2411yescharacteristic
549C22×C4×C83C2411yescharacteristic
550C22×C4×C83C2411yescharacteristic
551C4⋊C4×C83—22no—
552C4⋊C4×C83—22no—
553C4⋊C4×C83—41no—
554C4⋊C4×C83—41no—
555C4⋊C4×C83—41no—
556C4⋊C4×C83—41no—
557C4⋊C4×C83—41no—
558C4⋊C4×C83—41no—
559C22⋊C4×C83—22no—
560C22⋊C4×C83—22no—
561C22⋊C4×C83—41no—
562C22⋊C4×C83—41no—
563C22⋊C4×C83C22×C414yes—
564C22⋊C4×C83C22×C414yes—
565C22⋊C4×C83C22×C414yes—
566C22⋊C4×C83C22×C414yes—
567C23×C83—21no—
568C23×C83—21no—
569C23×C83—21no—
570C23×C83—21no—
571C23×C83—21no—
572C23×C83—21no—
573C23×C83—21no—
574C23×C83—21no—
575C23×C83—28no—
576C23×C83—28no—
577C23×C83—21no—
578C23×C83—21no—
579C23×C83—21no—
580C23×C83—21no—
581C23×C83—21no—
582C23×C83—21no—
583C23×C83—44no—
584C23×C83—44no—
585C23×C83—44no—
586C23×C83—44no—
587C23×C83—44no—
588C23×C83C23×C412yes—
589C23×C83C23×C412yes—
590C23×C83C23×C412yes—
591C23×C83H(5,𝔽2)12yes—
592C23×C83H(5,𝔽2)12yes—
593C23×C832−1+412yes—
594C23×C832−1+412yes—
595C23×C83C2511yescharacteristic
596C22×D83—21no—
597C22×D83—21no—
598C22×D83—21no—
599C22×D83—21no—
600C22×D83—21no—
601C22×D83—21no—
602C22×D83C23×C412yes—
603C2×C4×C83—28no—
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—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—44no—
636C2×C4×C83—44no—
637C2×C4×C83—44no—
638C2×C4×C83—44no—
639C2×C4×C83—44no—
640C2×C4×C83—44no—
641C2×C4×C83—44no—
642C2×C4×C83—82no—
643C2×C4×C83—82no—
644C2×C4×C83C23×C412yes—
645C2×C4×C83C23×C412yes—
646C2×C4×C83C23×C412yes—
647C2×C4×C83C23×C412yes—
648C2×C4×C83H(5,𝔽2)12yes—
649C22⋊D83—28no—
650C22⋊D83—28no—
651C22⋊D83—44no—
652C2×Dic83—28no—
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—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—21no—
689C2×Dic83—21no—
690C2×Dic83—21no—
691C2×Dic83—44no—
692C2×Dic83—82no—
693C2×Dic83—82no—
694C2×Dic83C23×C412yes—
695C2×Dic83C23×C412yes—
696C2×Dic83C23×C412yes—
697C2×Dic83C23×C412yes—
698C2×Dic83C23×C412yes—
699C2×Dic83C23×C412yes—
700C2×Dic83C23×C412yes—
701C4×D83—44no—
702C4×D83—82no—
703C4×D83—82no—
704Dic166—44no—
705C22×C83—22no—
706C22×C83—22no—
707C22×C83—22no—
708C22×C83—22no—
709C22×C83—22no—
710C22×C83—22no—
711C22×C83—22no—
712C22×C83—22no—
713C22×C83—22no—
714C22×C83—22no—
715C22×C83—22no—
716C22×C83—22no—
717C22×C83—22no—
718C22×C83—22no—
719C22×C83—22no—
720C22×C83—416no—
721C22×C83—41no—
722C22×C83—41no—
723C22×C83—41no—
724C22×C83—41no—
725C22×C83#52014yes—
726C22×C83#52014yes—
727C22×C83C24×C411yescharacteristic
728C22×C83C2×H(5,𝔽2)11yescharacteristic
729C22×C83C2×H(5,𝔽2)11yescharacteristic
730C22×C83C2×H(5,𝔽2)11yescharacteristic
731C22×C83C2×2−1+411yescharacteristic
732C22×C83C2×2−1+411yescharacteristic
733C22×C83#58511yescharacteristic
734C2×D83—22no—
735C2×D83—22no—
736C2×D83—22no—
737C2×D83—41no—
738C2×D83—41no—
739C2×D83—41no—
740C2×D83—41no—
741C4×C83—22no—
742C4×C83—22no—
743C4×C83—22no—
744C4×C83—22no—
745C4×C83—22no—
746C4×C83—41no—
747C4×C83—41no—
748C4×C83—41no—
749C4×C83—41no—
750C4×C83—41no—
751C4×C83—41no—
752C4×C83—41no—
753Dic83—22no—
754Dic83—22no—
755Dic83—22no—
756Dic83—22no—
757Dic83—22no—
758Dic83—22no—
759Dic83—22no—
760Dic83—41no—
761Dic83—41no—
762Dic83—41no—
763Dic83—41no—
764Dic83—41no—
765Dic83—41no—
766Dic83—41no—
767Dic83—41no—
768#34457—831nomaximal, Sylow
769C2×C83—24no—
770C2×C83—24no—
771C2×C83—42no—
772C2×C83C2×#52011yescharacteristic
773C2×C83C2×#52011yescharacteristic
774C2×C83C4×H(5,𝔽2)11yescharacteristic
775C2×C83#353211yescharacteristic
776C2×C83#353511yescharacteristic
777C2×C83#353511yescharacteristic
778C2×C83#353811yescharacteristic
779D83—42no—
780C2×#551—831no—
781#2383—831no—
782#2383—831no—
783#2379—831no—
784#2376—831no—
785#2360—831no—
786#2360—831no—
787#2359—831no—
788#2359—831no—
789#2358—831no—
790D4×C4⋊C4—831no—
791D4×C4⋊C4—831no—
792#2343—831no—
793#2343—831no—
794#2342—831no—
795#2342—831no—
796#2334—831no—
797#2334—831no—
798#2329—831no—
799#2329—831no—
800#2326—831no—
801#2322—831no—
802#2322—831no—
803#2322—831no—
804#2318—831no—
805#2318—831no—
806#2317—831no—
807#2317—831no—
808C4×#120—831no—
809C2×#385—831no—
810C2×#385D8311yescharacteristic, complemented
811C83#3445711yescharacteristic, complemented, Sylow
812C24×C4C2×D8311yescharacteristic
813#551—8316no—
814C2×#126—831no—
815C2×#126—831no—
816C2×#124—831no—
817C2×#123—831no—
818C2×#123—831no—
819C2×#123—831no—
820C2×C22⋊Q8—831no—
821C2×C22⋊Q8—831no—
822C2×#120—831no—
823C2×C4×Q8—831no—
824C2×C4×D4—831no—
825C2×C4×D4—831no—
826C2×C4×D4—831no—
827C2×C4×D4—831no—
828C2×C4×D4—831no—
829C2×C4×D4—831no—
830C2×C4×D4—831no—
831C2×#117—831no—
832C2×#117—831no—
833C2×#117—831no—
834C2×#117—831no—
835C22×C4⋊C4—831no—
836C22×C4⋊C4—831no—
837C22×C4⋊C4—831no—
838C22×C4⋊C4C2×D8311yescharacteristic
839C22×C4⋊C4C2×D8311yescharacteristic
840C22×C22⋊C4—831no—
841C22×C22⋊C4—831no—
842C22×C22⋊C4C2×D8311yescharacteristic
843C22×C22⋊C4C2×D8311yescharacteristic
844#391—831no—
845#391—831no—
846#391—831no—
847#390—831no—
848#389—831no—
849#389—831no—
850#389—831no—
851#389—831no—
852#389—831no—
853#389—831no—
854#389—831no—
855#389—831no—
856#389—831no—
857#389—831no—
858#389—831no—
859#389—831no—
860#389—831no—
861#389—831no—
862#388—831no—
863#388—831no—
864#388—831no—
865#388—831no—
866#388—831no—
867#388—831no—
868#388—831no—
869#388—831no—
870#388—831no—
871#388—831no—
872#388—831no—
873#388—831no—
874#388—831no—
875#388—831no—
876#388—831no—
877#388—831no—
878#387—831no—
879#387—831no—
880#387—831no—
881#387—831no—
882#387—831no—
883#387—831no—
884#387—831no—
885#387—831no—
886#387—831no—
887#387—831no—
888#387—831no—
889#387—831no—
890#387—831no—
891#387—831no—
892#387—831no—
893#387—831no—
894#386—831no—
895#386—831no—
896#386—831no—
897#386—831no—
898#386—831no—
899#386—831no—
900#385—831no—
901#385—831no—
902#385—831no—
903#385—831no—
904#385—831no—
905#385—831no—
906#385—831no—
907#385—831no—
908#385—831no—
909#385—831no—
910#385—831no—
911#385—831no—
912#385—831no—
913#385—831no—
914#385—831no—
915#385—831no—
916#385—831no—
917#385—831no—
918#385—831no—
919#385—831no—
920#385—831no—
921#385—831no—
922#385C2×D8311yescharacteristic
923#385C2×D8311yescharacteristic
924#385C2×D8311yescharacteristic
925#385C2×D8311yescharacteristic
926#385C2×D8311yescharacteristic
927#385C2×D8311yescharacteristic
928#385C2×D8311yescharacteristic
929#385C2×D8311yescharacteristic
930#384—831no—
931#384—831no—
932#384—831no—
933#383—831no—
934#383—831no—
935#382—831no—
936#382—831no—
937#382—831no—
938#382—831no—
939#381—831no—
940#381—831no—
941#381—831no—
942#380—831no—
943#380—831no—
944#380—831no—
945#380—831no—
946#379—831no—
947C4×C4⋊C4—831no—
948C4×C4⋊C4—831no—
949C4×C4⋊C4—831no—
950C4×C4⋊C4—831no—
951C4×C22⋊C4—831no—
952C4×C22⋊C4—831no—
953C4×C22⋊C4—831no—
954C4×C22⋊C4—831no—
955C4×C22⋊C4—831no—
956C4×C22⋊C4—831no—
957C4×C22⋊C4—831no—
958C4×C22⋊C4—831no—
959C4×C22⋊C4—831no—
960C4×C22⋊C4—831no—
961C4×C22⋊C4—831no—
962C4×C22⋊C4—831no—
963#376—831no—
964C2×#95—831no—
965C2×#95—831no—
966C2×#95C2×D8311yescharacteristic
967C2×#95C2×D8311yescharacteristic
968C25C22×D8311yescharacteristic
969C22×Q8—831no—
970C22×D4—831no—
971C22×D4—831no—
972C22×D4—831no—
973C23×C4—42no—
974C23×C4—42no—
975C23×C4—42no—
976C23×C4—831no—
977C23×C4—831no—
978C23×C4—831no—
979C23×C4—831no—
980C23×C4—831no—
981C23×C4—831no—
982C23×C4—831no—
983C23×C4C22×D8311yescharacteristic
984C23×C4C22×D8311yescharacteristic
985C23×C4C22×D8311yescharacteristic
986C23×C4C22×D8311yescharacteristic
987C23×C4C22×D8311yescharacteristic
988C23×C4C22×D8311yescharacteristic
989C23×C4C22×D8311yescharacteristic
990C23×C4C22×D8311yescharacteristic
991C23×C4C22×D8311yescharacteristic
992C23×C4C22×D8311yescharacteristic
993#126—838no—
994#126—838no—
995#124—838no—
996#123—838no—
997#123—838no—
998#123—838no—
999C22⋊Q8—838no—
1000C22⋊Q8—838no—
1001#120—838no—
1002C4×Q8—3322no—
1003C4×D4—3322no—
1004C4×D4—3322no—
1005C4×D4—3322no—
1006C4×D4—3322no—
1007C4×D4—3322no—
1008C4×D4—838no—
1009C4×D4—838no—
1010#117—3322no—
1011#117—3322no—
1012#117—838no—
1013#117—838no—
1014C2×C4⋊C4—42no—
1015C2×C4⋊C4—42no—
1016C2×C4⋊C4—3322no—
1017C2×C4⋊C4—3322no—
1018C2×C4⋊C4—3322no—
1019C2×C4⋊C4—831no—
1020C2×C4⋊C4—831no—
1021C2×C4⋊C4—831no—
1022C2×C4⋊C4—831no—
1023C2×C4⋊C4—831no—
1024C2×C4⋊C4—831no—
1025C2×C4⋊C4—831no—
1026C2×C4⋊C4—831no—
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⋊C4—831no—
1044C2×C4⋊C4—831no—
1045C2×C4⋊C4—831no—
1046C2×C4⋊C4—831no—
1047C2×C4⋊C4—831no—
1048C2×C4⋊C4—831no—
1049C2×C4⋊C4C22×D8311yescharacteristic
1050C2×C4⋊C4C22×D8311yescharacteristic
1051C2×C4⋊C4C22×D8311yescharacteristic
1052C2×C4⋊C4C22×D8311yescharacteristic
1053C2×C4⋊C4C22×D8311yescharacteristic
1054C2×C4⋊C4C22×D8311yescharacteristic
1055C2×C4⋊C4C22×D8311yescharacteristic
1056C2×C4⋊C4C22×D8311yescharacteristic
1057C2×C22⋊C4—42no—
1058C2×C22⋊C4—3322no—
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—838no—
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⋊C4C4×D8318yescomplemented
1087C2×C22⋊C4C22×D8311yescharacteristic
1088C2×C22⋊C4C22×D8311yescharacteristic
1089C2×C22⋊C4C22×D8311yescharacteristic
1090C2×C22⋊C4C22×D8311yescharacteristic
1091C2×C22⋊C4C22×D8311yescharacteristic
1092C2×C22⋊C4C22×D8311yescharacteristic
1093C2×C22⋊C4C22×D8311yescharacteristic
1094C2×C22⋊C4C22×D8311yescharacteristic
1095C2×C42—831no—
1096C2×C42—831no—
1097C2×C42—831no—
1098C2×C42—831no—
1099C2×C42—831no—
1100C2×C42—831no—
1101C2×C42—831no—
1102C2×C42—831no—
1103C2×C42—831no—
1104C2×C42—831no—
1105C2×C42—831no—
1106C2×C42—831no—
1107C2×C42—831no—
1108C2×C42—831no—
1109C2×C42—831no—
1110C2×C42—831no—
1111C2×C42—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#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#95—831no—
1143#95—831no—
1144#95—831no—
1145#95—831no—
1146#95—831no—
1147#95—831no—
1148#95C22×D8311yescharacteristic
1149#95C22×D8311yescharacteristic
1150#95C22×D8311yescharacteristic
1151#95C22×D8311yescharacteristic
1152#95C22×D8311yescharacteristic
1153#95C22×D8311yescharacteristic
1154#95C22×D8311yescharacteristic
1155#95C22×D8311yescharacteristic
1156C24—22no—
1157C24—22no—
1158C24—22no—
1159C24—22no—
1160C24—41no—
1161C24—41no—
1162C24—831no—
1163C24C2×C4×D8314yes—
1164C24C23×D8311yescharacteristic
1165C24C23×D8311yescharacteristic
1166C24C23×D8311yescharacteristic
1167C2×Q8—3321no—
1168C2×Q8—3321no—
1169C2×Q8—834no—
1170C2×D4—3321no—
1171C2×D4—3321no—
1172C2×D4—834no—
1173C2×D4—834no—
1174C2×D4—834no—
1175C2×D4—1662no—
1176C2×D4—1662no—
1177C2×D4—1662no—
1178C2×D4—1662no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—416no—
1208C22×C4—3321no—
1209C22×C4—3321no—
1210C22×C4—3321no—
1211C22×C4—3321no—
1212C22×C4—3321no—
1213C22×C4—3321no—
1214C22×C4—3321no—
1215C22×C4—3321no—
1216C22×C4—3321no—
1217C22×C4—3321no—
1218C22×C4—3321no—
1219C22×C4—3321no—
1220C22×C4—3321no—
1221C22×C4—834no—
1222C22×C4—834no—
1223C22×C4—834no—
1224C22×C4—831no—
1225C22×C4—831no—
1226C22×C4—831no—
1227C22×C4—831no—
1228C22×C4—831no—
1229C22×C4—831no—
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—1662no—
1240C22×C4—1662no—
1241C22×C4—1662no—
1242C22×C4—1662no—
1243C22×C4—1662no—
1244C22×C4C2×C4×D8314yes—
1245C22×C4C2×C4×D8314yes—
1246C22×C4C23×D8311yescharacteristic
1247C22×C4C23×D8311yescharacteristic
1248C22×C4C23×D8311yescharacteristic
1249C22×C4C23×D8311yescharacteristic
1250C22×C4C23×D8311yescharacteristic
1251C22×C4C23×D8311yescharacteristic
1252C22×C4C23×D8311yescharacteristic
1253C22×C4C23×D8311yescharacteristic
1254C22×C4C23×D8311yescharacteristic
1255C22×C4C23×D8311yescharacteristic
1256C22×C4C23×D8311yescharacteristic
1257C22×C4C23×D8311yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—3321no—
1267C4⋊C4—3321no—
1268C4⋊C4—3321no—
1269C4⋊C4—3321no—
1270C4⋊C4—3321no—
1271C4⋊C4—3321no—
1272C4⋊C4—3321no—
1273C4⋊C4—3321no—
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—3321no—
1285C4⋊C4—3321no—
1286C4⋊C4—834no—
1287C4⋊C4—834no—
1288C4⋊C4—834no—
1289C4⋊C4—834no—
1290C4⋊C4—834no—
1291C4⋊C4—834no—
1292C4⋊C4—834no—
1293C4⋊C4—834no—
1294C4⋊C4—1662no—
1295C4⋊C4—1662no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
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—834no—
1311C22⋊C4—834no—
1312C22⋊C4—834no—
1313C22⋊C4—834no—
1314C22⋊C4—834no—
1315C22⋊C4—834no—
1316C22⋊C4—834no—
1317C22⋊C4—834no—
1318C22⋊C4—834no—
1319C22⋊C4—834no—
1320C22⋊C4—1662no—
1321C22⋊C4—1662no—
1322C22⋊C4—1662no—
1323C22⋊C4—1662no—
1324C22⋊C4—1662no—
1325C22⋊C4—1662no—
1326C22⋊C4C2×C4×D8314yes—
1327C22⋊C4C2×C4×D8314yes—
1328C22⋊C4C2×C4×D8314yes—
1329C22⋊C4C2×C4×D8314yes—
1330C42—3321no—
1331C42—3321no—
1332C42—3321no—
1333C42—3321no—
1334C42—3321no—
1335C42—3321no—
1336C42—3321no—
1337C42—3321no—
1338C42—3321no—
1339C42—3321no—
1340C42—3321no—
1341C42—3321no—
1342C42—3321no—
1343C42—834no—
1344C42—834no—
1345C42—834no—
1346C42—1662no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—28no—
1356C23—28no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—44no—
1364C23—44no—
1365C23—44no—
1366C23—44no—
1367C23—44no—
1368C23—832no—
1369C23—1661no—
1370C23—1661no—
1371C23—1661no—
1372C23—1661no—
1373C23—1661no—
1374C23—1661no—
1375C23C22×C4×D8312yes—
1376C23C22×C4×D8312yes—
1377C23C22×C4×D8312yes—
1378C23#1458183712yes—
1379C23#1458183712yes—
1380C23#1458183912yes—
1381C23#1458184012yes—
1382C23C24×D8311yescharacteristic
1383Q8—3324no—
1384D4—3324no—
1385D4—1668no—
1386D4—1668no—
1387C2×C4—28no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—44no—
1423C2×C4—44no—
1424C2×C4—44no—
1425C2×C4—44no—
1426C2×C4—82no—
1427C2×C4—82no—
1428C2×C4—3324no—
1429C2×C4—3324no—
1430C2×C4—832no—
1431C2×C4—832no—
1432C2×C4—832no—
1433C2×C4—832no—
1434C2×C4—832no—
1435C2×C4—832no—
1436C2×C4—832no—
1437C2×C4—6642no—
1438C2×C4—6642no—
1439C2×C4—6642no—
1440C2×C4—6642no—
1441C2×C4—1661no—
1442C2×C4—1661no—
1443C2×C4—1661no—
1444C2×C4—1661no—
1445C2×C4—1661no—
1446C2×C4—1661no—
1447C2×C4—1661no—
1448C2×C4—1661no—
1449C2×C4—1661no—
1450C2×C4—1661no—
1451C2×C4—1661no—
1452C2×C4—1661no—
1453C2×C4—1661no—
1454C2×C4—1661no—
1455C2×C4—1661no—
1456C2×C4—1661no—
1457C2×C4—1661no—
1458C2×C4—1661no—
1459C2×C4—1661no—
1460C2×C4—1661no—
1461C2×C4—1661no—
1462C2×C4—1661no—
1463C2×C4—1661no—
1464C2×C4—1661no—
1465C2×C4—1668no—
1466C2×C4—1661no—
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×C4C22×C4×D8312yes—
1481C2×C4C22×C4×D8312yes—
1482C2×C4C22×C4×D8312yes—
1483C2×C4C22×C4×D8312yes—
1484C2×C4#1458183712yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—416no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—3321no—
1506C22—3321no—
1507C22—3321no—
1508C22—3321no—
1509C22—1662no—
1510C22—1662no—
1511C22—1662no—
1512C22#1912818014yes—
1513C22#1912818214yes—
1514C22C23×C4×D8311yescharacteristic
1515C22C2×#1458183711yescharacteristic
1516C22C2×#1458183711yescharacteristic
1517C22C2×#1458183711yescharacteristic
1518C22C2×#1458183911yescharacteristic
1519C22C2×#1458184011yescharacteristic
1520C22#1912853711yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—3321no—
1534C4—3321no—
1535C4—3321no—
1536C4—3321no—
1537C4—3321no—
1538C4—3321no—
1539C4—3321no—
1540C4—3321no—
1541C4—1662no—
1542C4—1662no—
1543C4—1662no—
1544C4—1662no—
1545C4—1662no—
1546C4—1662no—
1547C4—1662no—
1548C2—24no—
1549C2—24no—
1550C2—42no—
1551C2—3322no—
1552C2C2×#1912818011yescharacteristic
1553C2C2×#1912818211yescharacteristic
1554C2C4×#1458183711yescharacteristic
1555C2#2492161811yescharacteristic
1556C2#2492167211yescharacteristic
1557C2#2492167611yescharacteristic
1558C2#2492170811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC2×#385×C83C2
socle, cosocleC23×C83C25
prime radicalC2×#14581761C22
hypercenterC2×#385D83
hypocenterC83#34457
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
2. #24910651C2semidirect
3. #24910651C2semidirect
4. #24910636C2semidirect
5. #24910612C2semidirect
6. #24910468C2semidirect
7. #24910463C2semidirect
8. #24910453C2semidirect
9. #24910451C2semidirect
11. C4⋊C4×C22⋊D83C2semidirect
12. #24910361C2semidirect
13. #24910321C2semidirect
14. #24910319C2semidirect
15. #24910312C2semidirect
16. #24910308C2semidirect
17. #24910239C2semidirect
18. #24910233C2semidirect
19. #24910196C2semidirect
20. #24910194C2semidirect
21. #24910169C2semidirect
22. #24910132C2semidirect
23. #24910131C2semidirect
24. #24910130C2semidirect
25. #24910097C2semidirect
26. #24910091C2semidirect
27. #24910087C2semidirect
28. #24910082C2semidirect
30. C2×#19127574C2semidirect
31. C2×#385×C83C2semidirect
32. #19128377C4semidirect
42. C2×#14581757C22semidirect
56. C2×C4⋊C4×D83C22semidirect
59. #19127606C22semidirect
60. #19127605C22semidirect
61. #19127605C22semidirect
63. #19127598C22semidirect
64. #19127598C22semidirect
65. #19127598C22semidirect
66. #19127597C22semidirect
67. #19127597C22semidirect
68. #19127597C22semidirect
69. #19127597C22semidirect
70. #19127597C22semidirect
71. #19127596C22semidirect
72. #19127596C22semidirect
73. #19127596C22semidirect
74. #19127596C22semidirect
75. #19127596C22semidirect
76. #19127596C22semidirect
84. #19127593C22semidirect
85. #19127591C22semidirect
86. #19127591C22semidirect
87. #19127590C22semidirect
88. #19127590C22semidirect
89. #19127590C22semidirect
93. #19127588C22semidirect
94. #19127588C22semidirect
95. #19127588C22semidirect
96. #19127586C22semidirect
97. #19127586C22semidirect
98. #19127584C22semidirect
99. #19127584C22semidirect
100. #19127584C22semidirect
101. #19127584C22semidirect
102. #19127583C22semidirect
103. #19127583C22semidirect
104. #19127583C22semidirect
105. #19127582C22semidirect
106. #19127582C22semidirect
107. #19127582C22semidirect
108. #19127582C22semidirect
117. #19127575C22semidirect
133. #19127572C22semidirect
134. #19127572C22semidirect
135. #19127572C22semidirect
136. #19127572C22semidirect
137. #19127570C22semidirect
138. #19127570C22semidirect
139. #19127570C22semidirect
140. #19127568C22semidirect
141. #19127568C22semidirect
142. #19127566C22semidirect
143. #19127566C22semidirect
144. #19127565C22semidirect
145. #19127565C22semidirect
147. #19127563C22semidirect
150. #19127560C22semidirect
152. #19127558C22semidirect
154. C4⋊C4×Dic83C22semidirect
155. C4⋊C4×Dic83C22semidirect
156. #19127552C22semidirect
157. #19127552C22semidirect
169. #19127548C22semidirect
170. #19127546C22semidirect
199. #14581785C2×C4semidirect
200. #14581785C2×C4semidirect
201. #14581778C2×C4semidirect
202. #14581776C2×C4semidirect
203. #14581775C2×C4semidirect
204. #14581774C2×C4semidirect
205. #14581771C2×C4semidirect
206. #14581769C2×C4semidirect
213. C4×C22⋊D83C2×C4semidirect
215. (C22⋊D83)⋊C4C2×C4semidirect
217. #14581751C2×C4semidirect
219. #14581748C2×C4semidirect
254. C2×C22⋊Dic83C2×C4semidirect
359. C2×C22⋊C4×C83C2×C4semidirect
379. C2×Dic166C22×C4semidirect
424. C2×C4×D83C22×C4semidirect
429. C4⋊Dic83C22×C4semidirect
430. C4⋊Dic83C22×C4semidirect
431. C4⋊Dic83C22×C4semidirect
450. Dic83⋊C4C22×C4semidirect
451. Dic83⋊C4C22×C4semidirect
452. Dic83⋊C4C22×C4semidirect
453. Dic83⋊C4C22×C4semidirect
454. Dic83⋊C4C22×C4semidirect
478. (C2×D83)⋊C4C22×C4semidirect
479. (C2×D83)⋊C4C22×C4semidirect
480. (C2×D83)⋊C4C22×C4semidirect
495. C4×Dic83C22×C4semidirect
496. C4×Dic83C22×C4semidirect
497. C4×Dic83C22×C4semidirect
810. C2×#385D83semidirect
811. C83#34457semidirect
1086. C2×C22⋊C4C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283772
#249106512
#249106362
#249106122
#249104682
#249104632
#249104532
#249104512
#249104422
C4⋊C4×C22⋊D832
#249103612
#249103212
#249103192
#249103122
#249103082
#249102392
#249102332
#249101962
#249101942
#249101692
#249101322
#249101312
#249101302
#249100972
#249100912
#249100872
#249100822
C4×#145817612
C2×#191275742
C2×#385×C832
#3445783