Finite Group Databasebeta

← #35569485

Subgroups — #35569485

Order 21248.

2292 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×#19128377C211yesmaximal, characteristic
2#24910651C211yesmaximal, characteristic, complemented
3#24910636C211yesmaximal, characteristic, complemented
4#24910623C211yesmaximal, characteristic, complemented
5#24910609C211yesmaximal, characteristic, complemented
6#24910584C211yesmaximal, characteristic, complemented
7#24910546C211yesmaximal, characteristic, complemented
8#24910456C211yesmaximal, characteristic, complemented
9#24910455C211yesmaximal, characteristic, complemented
10#24910442C211yesmaximal, characteristic
11#24910409C211yesmaximal, characteristic, complemented
12#24910367C211yesmaximal, characteristic, complemented
13#24910345C211yesmaximal, characteristic, complemented
14#24910325C211yesmaximal, characteristic, complemented
15#24910314C211yesmaximal, characteristic, complemented
16#24910255C211yesmaximal, characteristic, complemented
17#24910246C211yesmaximal, characteristic, complemented
18#24910240C211yesmaximal, characteristic, complemented
19#24910233C211yesmaximal, characteristic, complemented
20#24910169C211yesmaximal, characteristic, complemented
21#24910138C211yesmaximal, characteristic, complemented
22#24910129C211yesmaximal, characteristic, complemented
23#24910118C211yesmaximal, characteristic
24#24910093C211yesmaximal, characteristic, complemented
25#24910083C211yesmaximal, characteristic, complemented
26#24910075C211yesmaximal, characteristic, complemented
27#24910067C211yesmaximal, characteristic, complemented
28#24909991C211yesmaximal, characteristic, complemented
29#24909902C211yesmaximal, characteristic, complemented
30C2×#19127594C211yesmaximal, characteristic, complemented
31C83×#2342C211yesmaximal, 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×(C22⋊D83)⋊C4C2211yescharacteristic
46C2×(C22⋊D83)⋊C4C2211yescharacteristic
47C2×(C22⋊D83)⋊C4C2211yescharacteristic
48C2×#14581751C2211yescharacteristic
49C2×#14581749C2211yescharacteristic, complemented
50C2×#14581748C2211yescharacteristic
51C2×#14581748C2211yescharacteristic
52C22×C4⋊Dic83C2211yescharacteristic
53C22×C22⋊Dic83C2211yescharacteristic
54C22×C22⋊Dic83C2211yescharacteristic
55C22×C22⋊Dic83C2211yescharacteristic
56C22×C4×Dic83C2211yescharacteristic
57#19127606C2211yescharacteristic, complemented
58#19127605C2211yescharacteristic, complemented
59#19127605C2211yescharacteristic, complemented
60#19127601C2211yescharacteristic
61#19127601C2211yescharacteristic
62#19127601C2211yescharacteristic
63#19127599C2211yescharacteristic, complemented
64#19127599C2211yescharacteristic, complemented
65#19127599C2211yescharacteristic, complemented
66#19127599C2211yescharacteristic, complemented
67#19127598C2211yescharacteristic, complemented
68#19127598C2211yescharacteristic, complemented
69#19127597C2211yescharacteristic, complemented
70#19127596C2211yescharacteristic, complemented
71#19127596C2211yescharacteristic, complemented
72#19127596C2211yescharacteristic, complemented
73#19127595C2211yescharacteristic
74#19127595C2211yescharacteristic
75#19127595C2211yescharacteristic
76#19127595C2211yescharacteristic
77#19127595C2211yescharacteristic
78#19127594C2211yescharacteristic
79#19127594C2211yescharacteristic
80#19127594C2211yescharacteristic
81#19127594C2211yescharacteristic
82#19127594C2211yescharacteristic
83#19127594C2211yescharacteristic
84#19127594C2211yescharacteristic
85#19127594C2211yescharacteristic
86#19127593C2211yescharacteristic, complemented
87#19127593C2211yescharacteristic, complemented
88#19127592C2211yescharacteristic, complemented
89#19127591C2211yescharacteristic, complemented
90#19127590C2211yescharacteristic, complemented
91#19127590C2211yescharacteristic, complemented
92#19127589C2211yescharacteristic
93#19127589C2211yescharacteristic
94#19127589C2211yescharacteristic
95#19127589C2211yescharacteristic
96#19127589C2211yescharacteristic
97#19127588C2211yescharacteristic, complemented
98#19127588C2211yescharacteristic, complemented
99#19127586C2211yescharacteristic, complemented
100#19127586C2211yescharacteristic, complemented
101#19127585C2211yescharacteristic, complemented
102#19127585C2211yescharacteristic, complemented
103#19127585C2211yescharacteristic, complemented
104#19127584C2211yescharacteristic, complemented
105#19127584C2211yescharacteristic, complemented
106#19127584C2211yescharacteristic, complemented
107#19127584C2211yescharacteristic, complemented
108#19127583C2211yescharacteristic, complemented
109#19127583C2211yescharacteristic, complemented
110#19127583C2211yescharacteristic, complemented
111#19127583C2211yescharacteristic, complemented
112#19127582C2211yescharacteristic, complemented
113#19127580C2211yescharacteristic
114#19127578C2211yescharacteristic
115#19127578C2211yescharacteristic
116#19127577C2211yescharacteristic
117#19127577C2211yescharacteristic
118#19127577C2211yescharacteristic
119#19127575C2211yescharacteristic, complemented
120#19127575C2211yescharacteristic, complemented
121#19127574C2211yescharacteristic
122#19127574C2211yescharacteristic
123#19127574C2211yescharacteristic
124#19127574C2211yescharacteristic
125#19127574C2211yescharacteristic
126#19127573C2211yescharacteristic
127#19127573C2211yescharacteristic
128#19127573C2211yescharacteristic
129#19127573C2211yescharacteristic
130#19127573C2211yescharacteristic
131#19127573C2211yescharacteristic
132#19127573C2211yescharacteristic
133#19127573C2211yescharacteristic
134#19127572C2211yescharacteristic, complemented
135#19127572C2211yescharacteristic, complemented
136#19127572C2211yescharacteristic, complemented
137#19127570C2211yescharacteristic, complemented
138#19127570C2211yescharacteristic, complemented
139#19127568C2211yescharacteristic, complemented
140#19127566C2211yescharacteristic, complemented
141#19127566C2211yescharacteristic, complemented
142#19127565C2211yescharacteristic, complemented
143#19127565C2211yescharacteristic, complemented
144#19127562C2211yescharacteristic
145#19127560C2211yescharacteristic, complemented
146#19127559C2211yescharacteristic
147#19127559C2211yescharacteristic
148#19127559C2211yescharacteristic
149#19127559C2211yescharacteristic
150#19127559C2211yescharacteristic
151C4⋊C4×Dic83C2211yescharacteristic, complemented
152C4×Dic83⋊C4C2211yescharacteristic, complemented
153C4×Dic83⋊C4C2211yescharacteristic, complemented
154C4×Dic83⋊C4C2211yescharacteristic, complemented
155C4×Dic83⋊C4C2211yescharacteristic, complemented
156#19127552C2211yescharacteristic, complemented
157#19127552C2211yescharacteristic, complemented
158#19127552C2211yescharacteristic, complemented
159#19127552C2211yescharacteristic, complemented
160C22⋊C4×Dic83C2211yescharacteristic
161C22⋊C4×Dic83C2211yescharacteristic
162C22⋊C4×Dic83C2211yescharacteristic
163C22⋊C4×Dic83C2211yescharacteristic
164C22⋊C4×Dic83C2211yescharacteristic
165C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
166C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
167C4×C22⋊Dic83C2211yescharacteristic
168#19127547C2211yescharacteristic, complemented
169#19127546C2211yescharacteristic, complemented
170C2×C83⋊#95C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172#95×D83C2211yescharacteristic, complemented
173C2×#117×C83C2211yescharacteristic
174C22×C22⋊C4×C83C2211yescharacteristic
175C22×C22⋊C4×C83C2211yescharacteristic
176#388×C83C2211yescharacteristic
177#388×C83C2211yescharacteristic
178#388×C83C2211yescharacteristic
179#388×C83C2211yescharacteristic
180#385×C83C2211yescharacteristic
181#385×C83C2211yescharacteristic
182#381×C83C2211yescharacteristic
183#380×C83C2211yescharacteristic
184#379×C83C2211yescharacteristic
185C4×C22⋊C4×C83C2211yescharacteristic
186C4×C22⋊C4×C83C2211yescharacteristic
187C4×C22⋊C4×C83C2211yescharacteristic
188C22×Dic166C2311yescharacteristic
189C22×C22⋊D83C2311yescharacteristic
190C22×C22⋊D83C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C23×Dic83C2311yescharacteristic
193C23×Dic83C2311yescharacteristic
194C23×Dic83C2311yescharacteristic
195C23×Dic83C2311yescharacteristic
196C23×Dic83C2311yescharacteristic
197C23×Dic83C2311yescharacteristic
198C22×C4×D83C2311yescharacteristic
199C22×C4×D83C2311yescharacteristic
200C22×C4×D83C2311yescharacteristic
201#14581785C2×C418yescomplemented
202#14581785C2×C418yescomplemented
203#14581778C2×C418yescomplemented
204#14581776C2×C418yescomplemented
205#14581775C2×C418yescomplemented
206#14581774C2×C418yescomplemented
207#14581771C2×C418yescomplemented
208#14581769C2×C418yescomplemented
209#14581761C2×C418yes—
210#14581757—42no—
211C4×C22⋊D83—42no—
212C4×C22⋊D83C2×C418yescomplemented
213(C22⋊D83)⋊C4—42no—
214(C22⋊D83)⋊C4—42no—
215(C22⋊D83)⋊C4C2×C418yescomplemented
216#14581751C2×C418yescomplemented
217#14581749—42no—
218#14581748—42no—
219#14581748C2×C418yescomplemented
220C2×C4⋊Dic83—42no—
221C2×C4⋊Dic83C2311yescharacteristic
222C2×C4⋊Dic83C2311yescharacteristic
223C2×C4⋊Dic83C2311yescharacteristic
224C2×C4⋊Dic83C2311yescharacteristic
225C2×C4⋊Dic83C2311yescharacteristic
226C2×C4⋊Dic83C2311yescharacteristic
227C2×C4⋊Dic83C2311yescharacteristic
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×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×C22⋊Dic83—42no—
252C2×C22⋊Dic83—42no—
253C2×C22⋊Dic83C2×C418yescomplemented
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×C22⋊Dic83C2311yescharacteristic
266C2×C22⋊Dic83C2311yescharacteristic
267C2×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×C4×Dic83—42no—
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
295C2×C4×Dic83C2311yescharacteristic
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
332C25×C83C2311yescharacteristic
333C23×C4×C83C2311yescharacteristic
334C23×C4×C83C2311yescharacteristic
335C23×C4×C83C2311yescharacteristic
336C23×C4×C83C2311yescharacteristic
337#117×C83—42no—
338C2×C4⋊C4×C83C2311yescharacteristic
339C2×C4⋊C4×C83C2311yescharacteristic
340C2×C4⋊C4×C83C2311yescharacteristic
341C2×C4⋊C4×C83C2311yescharacteristic
342C2×C22⋊C4×C83—42no—
343C2×C22⋊C4×C83C2×C418yescomplemented
344C2×C22⋊C4×C83C2311yescharacteristic
345C2×C22⋊C4×C83C2311yescharacteristic
346C2×C22⋊C4×C83C2311yescharacteristic
347C2×C22⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C22⋊C4×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×D83C2411yescharacteristic
371C2×Dic166—41no—
372C2×Dic166—41no—
373C2×Dic166C22×C414yes—
374C2×C22⋊D83—22no—
375C2×C22⋊D83—22no—
376C2×C22⋊D83—41no—
377C2×C22⋊D83—41no—
378C2×C22⋊D83—41no—
379C2×C22⋊D83—41no—
380C2×C22⋊D83C22×C414yes—
381C2×C22⋊D83C22×C414yes—
382C2×C22⋊D83C22×C414yes—
383C22×Dic83—22no—
384C22×Dic83—22no—
385C22×Dic83—22no—
386C22×Dic83—22no—
387C22×Dic83—22no—
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×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—41no—
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×C414yes—
425C4⋊Dic83—41no—
426C4⋊Dic83—41no—
427C4⋊Dic83—41no—
428C4⋊Dic83—41no—
429C4⋊Dic83C22×C414yes—
430C4⋊Dic83C22×C414yes—
431C4⋊Dic83C22×C414yes—
432Dic83⋊C4—22no—
433Dic83⋊C4—41no—
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×C414yes—
451Dic83⋊C4C22×C414yes—
452Dic83⋊C4C22×C414yes—
453Dic83⋊C4C22×C414yes—
454Dic83⋊C4C22×C414yes—
455C22⋊Dic83—22no—
456C22⋊Dic83—22no—
457C22⋊Dic83—41no—
458C22⋊Dic83—41no—
459C22⋊Dic83—41no—
460C22⋊Dic83—41no—
461C22⋊Dic83—41no—
462C22⋊Dic83—41no—
463C22⋊Dic83C22×C414yes—
464C22⋊Dic83C22×C414yes—
465C22⋊Dic83C22×C414yes—
466C22⋊Dic83C22×C414yes—
467C22⋊Dic83C22×C414yes—
468C22⋊Dic83C22×C414yes—
469C22⋊Dic83C22×C414yes—
470(C2×D83)⋊C4—22no—
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—
479C4×Dic83—22no—
480C4×Dic83—22no—
481C4×Dic83—22no—
482C4×Dic83—22no—
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×Dic83C22×C414yes—
494C4×Dic83C22×C414yes—
495C4×Dic83C22×C414yes—
496C24×C83—22no—
497C24×C83—22no—
498C24×C83—41no—
499C24×C83—41no—
500C24×C83—41no—
501C24×C83—41no—
502C24×C83C22×C414yes—
503C24×C83C2411yescharacteristic
504C24×C83C2411yescharacteristic
505C24×C83C2411yescharacteristic
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×C83—41no—
513C22×C4×C83—41no—
514C22×C4×C83—41no—
515C22×C4×C83—41no—
516C22×C4×C83C22×C414yes—
517C22×C4×C83C22×C414yes—
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
528C22×C4×C83C2411yescharacteristic
529C22×C4×C83C2411yescharacteristic
530C4⋊C4×C83—41no—
531C4⋊C4×C83—41no—
532C4⋊C4×C83—41no—
533C4⋊C4×C83—41no—
534C22⋊C4×C83—22no—
535C22⋊C4×C83—22no—
536C22⋊C4×C83—22no—
537C22⋊C4×C83—22no—
538C22⋊C4×C83—41no—
539C22⋊C4×C83—41no—
540C22⋊C4×C83—41no—
541C22⋊C4×C83—41no—
542C22⋊C4×C83—41no—
543C22⋊C4×C83—41no—
544C22⋊C4×C83C22×C414yes—
545C22⋊C4×C83C22×C414yes—
546C22⋊C4×C83C22×C414yes—
547C22⋊C4×C83C22×C414yes—
548C42×C83—41no—
549C42×C83—41no—
550C42×C83—41no—
551C42×C83—41no—
552C23×C83—21no—
553C23×C83—21no—
554C23×C83—21no—
555C23×C83—21no—
556C23×C83—21no—
557C23×C83—21no—
558C23×C83—21no—
559C23×C83—21no—
560C23×C83—21no—
561C23×C83—21no—
562C23×C83—21no—
563C23×C83—21no—
564C23×C83—21no—
565C23×C83—21no—
566C23×C83—21no—
567C23×C83—21no—
568C23×C83—28no—
569C23×C83—44no—
570C23×C83—44no—
571C23×C83—82no—
572C23×C83—82no—
573C23×C83—82no—
574C23×C83—82no—
575C23×C83C23×C412yes—
576C23×C83C23×C412yes—
577C23×C83C23×C412yes—
578C23×C83H(5,𝔽2)12yes—
579C23×C832−1+412yes—
580C23×C83C2511yescharacteristic
581C22×D83—21no—
582C22×D83—21no—
583C22×D83—21no—
584C22×D83—21no—
585C22×D83—21no—
586C22×D83—21no—
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×C83—82no—
624C2×C4×C83C23×C412yes—
625C2×C4×C83C23×C412yes—
626C2×C4×C83C23×C412yes—
627C2×C4×C83C23×C412yes—
628C22⋊D83—28no—
629C22⋊D83—44no—
630C22⋊D83—44no—
631C2×Dic83—21no—
632C2×Dic83—21no—
633C2×Dic83—21no—
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—21no—
668C2×Dic83—44no—
669C2×Dic83—44no—
670C2×Dic83—44no—
671C2×Dic83—44no—
672C2×Dic83—82no—
673C2×Dic83—82no—
674C2×Dic83C23×C412yes—
675C2×Dic83C23×C412yes—
676C2×Dic83C23×C412yes—
677C2×Dic83C23×C412yes—
678C2×Dic83C23×C412yes—
679C2×Dic83C23×C412yes—
680C2×Dic83C23×C412yes—
681C2×Dic83H(5,𝔽2)12yes—
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×C83—22no—
693C22×C83—22no—
694C22×C83—22no—
695C22×C83—22no—
696C22×C83—22no—
697C22×C83—22no—
698C22×C83—41no—
699C22×C83—41no—
700C22×C83—41no—
701C22×C83—41no—
702C22×C83—41no—
703C22×C83—41no—
704C22×C83—41no—
705C22×C83—41no—
706C22×C83—88no—
707C22×C83#52014yes—
708C22×C83C24×C411yescharacteristic
709C22×C83C2×H(5,𝔽2)11yescharacteristic
710C22×C83C2×H(5,𝔽2)11yescharacteristic
711C22×C83C2×2−1+411yescharacteristic
712C22×C83#58511yescharacteristic
713C22×C83#58511yescharacteristic
714C22×C83#58511yescharacteristic
715C2×D83—22no—
716C2×D83—22no—
717C2×D83—22no—
718C2×D83—41no—
719C2×D83—41no—
720C2×D83—41no—
721C2×D83—41no—
722C4×C83—22no—
723C4×C83—22no—
724C4×C83—22no—
725C4×C83—22no—
726C4×C83—41no—
727C4×C83—41no—
728C4×C83—41no—
729C4×C83—41no—
730C4×C83—41no—
731C4×C83—41no—
732C4×C83—41no—
733C4×C83—41no—
734Dic83—22no—
735Dic83—22no—
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#34479—831nomaximal, Sylow
750C2×C83—24no—
751C2×C83—42no—
752C2×C83—42no—
753C2×C83C2×#52011yescharacteristic
754C2×C83#342811yescharacteristic
755C2×C83C4×H(5,𝔽2)11yescharacteristic
756C2×C83#353511yescharacteristic
757C2×C83#354211yescharacteristic
758C2×C83#354511yescharacteristic
759C2×C83#356411yescharacteristic
760D83—42no—
761C2×#551—831no—
762#2383—831no—
763#2379—831no—
764#2378—831no—
765#2376—831no—
766#2373—831no—
767#2368—831no—
768#2359—831no—
769#2359—831no—
770#2358—831no—
771#2354—831no—
772#2349—831no—
773#2346—831no—
774#2343—831no—
775#2342—831no—
776#2342D8311yescharacteristic, complemented
777#2335—831no—
778#2335—831no—
779#2334—831no—
780#2334—831no—
781#2326—831no—
782#2323—831no—
783#2322—831no—
784#2321—831no—
785#2318—831no—
786#2317—831no—
787#2315—831no—
788#2314—831no—
789C4×C22⋊Q8—831no—
790#2290—831no—
791C2×#388—831no—
792C83#3447911yescharacteristic, 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×#117—831no—
812C2×#117—831no—
813C2×#117C2×D8311yescharacteristic
814C22×C4⋊C4—831no—
815C22×C22⋊C4—831no—
816C22×C22⋊C4—831no—
817C22×C22⋊C4—831no—
818C22×C22⋊C4C2×D8311yescharacteristic
819C22×C22⋊C4C2×D8311yescharacteristic
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#389—831no—
832#389—831no—
833#389—831no—
834#389—831no—
835#389—831no—
836#389—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#388—831no—
860#388—831no—
861#388C2×D8311yescharacteristic
862#388C2×D8311yescharacteristic
863#388C2×D8311yescharacteristic
864#388C2×D8311yescharacteristic
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#387—831no—
876#387—831no—
877#387—831no—
878#387—831no—
879#387—831no—
880#387—831no—
881#386—831no—
882#386—831no—
883#386—831no—
884#386—831no—
885#386—831no—
886#386—831no—
887#385—831no—
888#385—831no—
889#385—831no—
890#385—831no—
891#385—831no—
892#385—831no—
893#385—831no—
894#385—831no—
895#385—831no—
896#385—831no—
897#385—831no—
898#385—831no—
899#385—831no—
900#385—831no—
901#385—831no—
902#385—831no—
903#385—831no—
904#385—831no—
905#385C2×D8311yescharacteristic
906#385C2×D8311yescharacteristic
907#384—831no—
908#384—831no—
909#383—831no—
910#382—831no—
911#382—831no—
912#382—831no—
913#382—831no—
914#381—831no—
915#381C2×D8311yescharacteristic
916#380—831no—
917#380—831no—
918#380—831no—
919#380—831no—
920#380—831no—
921#380—831no—
922#380C2×D8311yescharacteristic
923#379C2×D8311yescharacteristic
924C4×C4⋊C4—831no—
925C4×C4⋊C4—831no—
926C4×C4⋊C4—831no—
927C4×C4⋊C4—831no—
928C4×C4⋊C4—831no—
929C4×C4⋊C4—831no—
930C4×C4⋊C4—831no—
931C4×C4⋊C4—831no—
932C4×C4⋊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⋊C4—831no—
941C4×C22⋊C4C2×D8311yescharacteristic
942C4×C22⋊C4C2×D8311yescharacteristic
943C4×C22⋊C4C2×D8311yescharacteristic
944#376—831no—
945#376—831no—
946C2×#95—831no—
947C2×#95—831no—
948C2×#95—831no—
949C25C22×D8311yescharacteristic
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×C4C22×D8311yescharacteristic
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—3322no—
979C4×D4—3322no—
980C4×D4—838no—
981C4×D4—838no—
982#117—42no—
983#117—3322no—
984#117—3322no—
985#117—838no—
986#117—838no—
987C2×C4⋊C4—3322no—
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⋊C4—831no—
1006C2×C4⋊C4—831no—
1007C2×C4⋊C4—831no—
1008C2×C4⋊C4—831no—
1009C2×C4⋊C4—831no—
1010C2×C4⋊C4—831no—
1011C2×C4⋊C4—831no—
1012C2×C4⋊C4—831no—
1013C2×C4⋊C4—831no—
1014C2×C4⋊C4—831no—
1015C2×C4⋊C4—831no—
1016C2×C4⋊C4—831no—
1017C2×C4⋊C4—831no—
1018C2×C4⋊C4C22×D8311yescharacteristic
1019C2×C4⋊C4C22×D8311yescharacteristic
1020C2×C4⋊C4C22×D8311yescharacteristic
1021C2×C4⋊C4C22×D8311yescharacteristic
1022C2×C22⋊C4—42no—
1023C2×C22⋊C4—3322no—
1024C2×C22⋊C4—3322no—
1025C2×C22⋊C4—831no—
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—838no—
1037C2×C22⋊C4—831no—
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⋊C4C4×D8318yescomplemented
1051C2×C22⋊C4C22×D8311yescharacteristic
1052C2×C22⋊C4C22×D8311yescharacteristic
1053C2×C22⋊C4C22×D8311yescharacteristic
1054C2×C22⋊C4C22×D8311yescharacteristic
1055C2×C22⋊C4C22×D8311yescharacteristic
1056C2×C22⋊C4C22×D8311yescharacteristic
1057C2×C22⋊C4C22×D8311yescharacteristic
1058C2×C22⋊C4C22×D8311yescharacteristic
1059C2×C22⋊C4C22×D8311yescharacteristic
1060C2×C22⋊C4C22×D8311yescharacteristic
1061C2×C22⋊C4C22×D8311yescharacteristic
1062C2×C22⋊C4C22×D8311yescharacteristic
1063C2×C22⋊C4C22×D8311yescharacteristic
1064C2×C22⋊C4C22×D8311yescharacteristic
1065C2×C42—3322no—
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×C42—831no—
1076C2×C42—831no—
1077C2×C42—831no—
1078C2×C42—831no—
1079C2×C42—831no—
1080C2×C42—831no—
1081C2×C42—831no—
1082C2×C42—831no—
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—22no—
1132C24—22no—
1133C24—41no—
1134C24—41no—
1135C24—41no—
1136C24—41no—
1137C24—831no—
1138C24C2×C4×D8314yes—
1139C24C23×D8311yescharacteristic
1140C24C23×D8311yescharacteristic
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—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
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—3321no—
1180C22×C4—3321no—
1181C22×C4—3321no—
1182C22×C4—3321no—
1183C22×C4—834no—
1184C22×C4—834no—
1185C22×C4—834no—
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—831no—
1197C22×C4—831no—
1198C22×C4—831no—
1199C22×C4—831no—
1200C22×C4—831no—
1201C22×C4—1662no—
1202C22×C4—1662no—
1203C22×C4—1662no—
1204C22×C4—1662no—
1205C22×C4—1662no—
1206C22×C4C2×C4×D8314yes—
1207C22×C4C2×C4×D8314yes—
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—41no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—3321no—
1225C4⋊C4—3321no—
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—3321no—
1235C4⋊C4—3321no—
1236C4⋊C4—3321no—
1237C4⋊C4—3321no—
1238C4⋊C4—3321no—
1239C4⋊C4—3321no—
1240C4⋊C4—3321no—
1241C4⋊C4—3321no—
1242C4⋊C4—3321no—
1243C4⋊C4—3321no—
1244C4⋊C4—3321no—
1245C4⋊C4—834no—
1246C4⋊C4—834no—
1247C4⋊C4—834no—
1248C4⋊C4—834no—
1249C4⋊C4—834no—
1250C4⋊C4—834no—
1251C4⋊C4—834no—
1252C4⋊C4—834no—
1253C4⋊C4—1662no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—3321no—
1265C22⋊C4—3321no—
1266C22⋊C4—3321no—
1267C22⋊C4—3321no—
1268C22⋊C4—3321no—
1269C22⋊C4—3321no—
1270C22⋊C4—3321no—
1271C22⋊C4—3321no—
1272C22⋊C4—3321no—
1273C22⋊C4—3321no—
1274C22⋊C4—3321no—
1275C22⋊C4—834no—
1276C22⋊C4—834no—
1277C22⋊C4—834no—
1278C22⋊C4—834no—
1279C22⋊C4—834no—
1280C22⋊C4—834no—
1281C22⋊C4—834no—
1282C22⋊C4—834no—
1283C22⋊C4—834no—
1284C22⋊C4—834no—
1285C22⋊C4—1662no—
1286C22⋊C4—1662no—
1287C22⋊C4—1662no—
1288C22⋊C4C2×C4×D8314yes—
1289C22⋊C4C2×C4×D8314yes—
1290C22⋊C4C2×C4×D8314yes—
1291C22⋊C4C2×C4×D8314yes—
1292C42—41no—
1293C42—41no—
1294C42—41no—
1295C42—41no—
1296C42—3321no—
1297C42—3321no—
1298C42—3321no—
1299C42—3321no—
1300C42—3321no—
1301C42—3321no—
1302C42—3321no—
1303C42—3321no—
1304C42—3321no—
1305C42—3321no—
1306C42—834no—
1307C42—834no—
1308C42—834no—
1309C42—1662no—
1310C42—1662no—
1311C42—1662no—
1312C42—1662no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—28no—
1330C23—44no—
1331C23—44no—
1332C23—82no—
1333C23—82no—
1334C23—82no—
1335C23—82no—
1336C23—832no—
1337C23—1661no—
1338C23—1661no—
1339C23—1661no—
1340C23—1661no—
1341C23—1661no—
1342C23—1661no—
1343C23C22×C4×D8312yes—
1344C23C22×C4×D8312yes—
1345C23C22×C4×D8312yes—
1346C23#1458183712yes—
1347C23#1458183912yes—
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—82no—
1389C2×C4—3324no—
1390C2×C4—3324no—
1391C2×C4—3324no—
1392C2×C4—3324no—
1393C2×C4—3324no—
1394C2×C4—832no—
1395C2×C4—832no—
1396C2×C4—832no—
1397C2×C4—832no—
1398C2×C4—832no—
1399C2×C4—832no—
1400C2×C4—832no—
1401C2×C4—832no—
1402C2×C4—6642no—
1403C2×C4—6642no—
1404C2×C4—6642no—
1405C2×C4—6642no—
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×C4—1661no—
1438C2×C4—1661no—
1439C2×C4—1661no—
1440C2×C4—1661no—
1441C2×C4—1661no—
1442C2×C4—1661no—
1443C2×C4C22×C4×D8312yes—
1444C2×C4C22×C4×D8312yes—
1445C2×C4C22×C4×D8312yes—
1446C2×C4C22×C4×D8312yes—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—88no—
1468C22—3321no—
1469C22—3321no—
1470C22—3321no—
1471C22—3321no—
1472C22—1662no—
1473C22—1662no—
1474C22—1662no—
1475C22#1912818014yes—
1476C22C23×C4×D8311yescharacteristic
1477C22H(5,𝔽2)×D8311yescharacteristic
1478C22C2×#1458183711yescharacteristic
1479C22C2×#1458183911yescharacteristic
1480C22#1912853611yescharacteristic
1481C22#1912853711yescharacteristic
1482C22#1912853711yescharacteristic
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—41no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—3321no—
1496C4—3321no—
1497C4—3321no—
1498C4—3321no—
1499C4—3321no—
1500C4—3321no—
1501C4—3321no—
1502C4—1662no—
1503C4—1662no—
1504C4—1662no—
1505C4—1662no—
1506C4—1662no—
1507C4—1662no—
1508C4—1662no—
1509C4—1662no—
1510C2—24no—
1511C2—42no—
1512C2—42no—
1513C2—3322no—
1514C2C2×#1912818011yescharacteristic
1515C2#2492066411yescharacteristic
1516C2#2492066711yescharacteristic
1517C2#2492165911yescharacteristic
1518C2#2492176411yescharacteristic
1519C2#2492181011yescharacteristic
1520C2#2492207911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2342C2
socle, cosocleC23×C83C25
prime radicalC2×#14581761C22
hypercenter#2342D83
hypocenterC83#34479
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
2. #24910651C2semidirect
3. #24910636C2semidirect
4. #24910623C2semidirect
5. #24910609C2semidirect
6. #24910584C2semidirect
7. #24910546C2semidirect
8. #24910456C2semidirect
9. #24910455C2semidirect
11. #24910409C2semidirect
12. #24910367C2semidirect
13. #24910345C2semidirect
14. #24910325C2semidirect
15. #24910314C2semidirect
16. #24910255C2semidirect
17. #24910246C2semidirect
18. #24910240C2semidirect
19. #24910233C2semidirect
20. #24910169C2semidirect
21. #24910138C2semidirect
22. #24910129C2semidirect
24. #24910093C2semidirect
25. #24910083C2semidirect
26. #24910075C2semidirect
27. #24910067C2semidirect
28. #24909991C2semidirect
29. #24909902C2semidirect
30. C2×#19127594C2semidirect
31. C83×#2342C2semidirect
32. #19128377C4semidirect
42. C2×#14581757C22semidirect
49. C2×#14581749C22semidirect
57. #19127606C22semidirect
58. #19127605C22semidirect
59. #19127605C22semidirect
63. #19127599C22semidirect
64. #19127599C22semidirect
65. #19127599C22semidirect
66. #19127599C22semidirect
67. #19127598C22semidirect
68. #19127598C22semidirect
69. #19127597C22semidirect
70. #19127596C22semidirect
71. #19127596C22semidirect
72. #19127596C22semidirect
86. #19127593C22semidirect
87. #19127593C22semidirect
88. #19127592C22semidirect
89. #19127591C22semidirect
90. #19127590C22semidirect
91. #19127590C22semidirect
97. #19127588C22semidirect
98. #19127588C22semidirect
99. #19127586C22semidirect
100. #19127586C22semidirect
101. #19127585C22semidirect
102. #19127585C22semidirect
103. #19127585C22semidirect
104. #19127584C22semidirect
105. #19127584C22semidirect
106. #19127584C22semidirect
107. #19127584C22semidirect
108. #19127583C22semidirect
109. #19127583C22semidirect
110. #19127583C22semidirect
111. #19127583C22semidirect
112. #19127582C22semidirect
119. #19127575C22semidirect
120. #19127575C22semidirect
134. #19127572C22semidirect
135. #19127572C22semidirect
136. #19127572C22semidirect
137. #19127570C22semidirect
138. #19127570C22semidirect
139. #19127568C22semidirect
140. #19127566C22semidirect
141. #19127566C22semidirect
142. #19127565C22semidirect
143. #19127565C22semidirect
145. #19127560C22semidirect
151. C4⋊C4×Dic83C22semidirect
152. C4×Dic83⋊C4C22semidirect
153. C4×Dic83⋊C4C22semidirect
154. C4×Dic83⋊C4C22semidirect
155. C4×Dic83⋊C4C22semidirect
156. #19127552C22semidirect
157. #19127552C22semidirect
158. #19127552C22semidirect
159. #19127552C22semidirect
165. C4×(C2×D83)⋊C4C22semidirect
166. C4×(C2×D83)⋊C4C22semidirect
168. #19127547C22semidirect
169. #19127546C22semidirect
172. #95×D83C22semidirect
201. #14581785C2×C4semidirect
202. #14581785C2×C4semidirect
203. #14581778C2×C4semidirect
204. #14581776C2×C4semidirect
205. #14581775C2×C4semidirect
206. #14581774C2×C4semidirect
207. #14581771C2×C4semidirect
208. #14581769C2×C4semidirect
212. C4×C22⋊D83C2×C4semidirect
215. (C22⋊D83)⋊C4C2×C4semidirect
216. #14581751C2×C4semidirect
219. #14581748C2×C4semidirect
253. C2×C22⋊Dic83C2×C4semidirect
343. C2×C22⋊C4×C83C2×C4semidirect
776. #2342D83semidirect
792. C83#34479semidirect
1050. 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
#249106232
#249106092
#249105842
#249105462
#249104562
#249104552
#249104422
#249104092
#249103672
#249103452
#249103252
#249103142
#249102552
#249102462
#249102402
#249102332
#249101692
#249101382
#249101292
#249101182
#249100932
#249100832
#249100752
#249100672
#249099912
#249099022
C2×#191275942
C83×#23422
#3447983