Finite Group Databasebeta

← #35573065

Subgroups — #35573065

Order 21248.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128210C211yesmaximal, characteristic, complemented
2#24911658C211yesmaximal, characteristic, complemented
3#24911643C211yesmaximal, characteristic, complemented
4#24911568C211yesmaximal, characteristic, complemented
5#24911553C211yesmaximal, characteristic, complemented
6#24911478C211yesmaximal, characteristic, complemented
7#24911463C211yesmaximal, characteristic, complemented
8#24911379C211yesmaximal, characteristic, complemented
9#24911364C211yesmaximal, characteristic, complemented
10#24911281C211yesmaximal, characteristic, complemented
11#24911207C211yesmaximal, characteristic, complemented
12#24911133C211yesmaximal, characteristic, complemented
13#24911067C211yesmaximal, characteristic, complemented
14#24910993C211yesmaximal, characteristic, complemented
15#24910919C211yesmaximal, characteristic, complemented
16#24910842C211yesmaximal, characteristic, complemented
17#24910778C211yesmaximal, characteristic, complemented
18#24910746C211yesmaximal, characteristic, complemented
19#24910733C211yesmaximal, characteristic, complemented
20#24910705C211yesmaximal, characteristic, complemented
21#24910678C211yesmaximal, characteristic, complemented
22C4×#14581775C211yesmaximal, characteristic, complemented
23C4×#14581775C211yesmaximal, characteristic, complemented
24C4×#14581766C211yesmaximal, characteristic, complemented
25C4×#14581764C211yesmaximal, characteristic, complemented
26C4×#14581760C211yesmaximal, characteristic, complemented
27#24909953C211yesmaximal, characteristic, complemented
28#24909908C211yesmaximal, characteristic, complemented
29#24909906C211yesmaximal, characteristic, complemented
30C2×C4×(C2×D83)⋊C4C211yesmaximal, characteristic, complemented
31C2×C4×#41×C83C211yesmaximal, characteristic, complemented
32C22×#13050590C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34#19128210—28no—
35C2×#14581777C2211yescharacteristic
36C2×#14581775C2211yescharacteristic
37C2×#14581775C2211yescharacteristic
38C2×#14581774C2211yescharacteristic
39C2×#14581770C2211yescharacteristic
40C2×#14581769C2211yescharacteristic
41C2×#14581766C2211yescharacteristic
42C2×#14581765C2211yescharacteristic
43C2×#14581764C2211yescharacteristic
44C2×#14581764C2211yescharacteristic
45C2×#14581762C2211yescharacteristic
46C2×#14581760C2211yescharacteristic
47C2×#14581760C2211yescharacteristic
48C2×C4×D332C2211yescharacteristic
49C2×C4×C22⋊D83C2211yescharacteristic
50C2×C4×C22⋊D83C2211yescharacteristic
51C2×C4×C22⋊D83C2211yescharacteristic
52C2×C4×C22⋊D83C2211yescharacteristic
53C2×C4×C22⋊D83C2211yescharacteristic, complemented
54C2×#14581751C2211yescharacteristic, complemented
55C2×#14581749C2211yescharacteristic
56C22×(C2×D83)⋊C4C2211yescharacteristic
57C22×(C2×D83)⋊C4C2211yescharacteristic
58C22×C4×Dic83C2211yescharacteristic
59#19127640C2211yescharacteristic, complemented
60#19127640C2211yescharacteristic, complemented
61#19127639C2211yescharacteristic, complemented
62#19127636C2211yescharacteristic
63#19127634C2211yescharacteristic, complemented
64#19127634C2211yescharacteristic, complemented
65#19127634C2211yescharacteristic, complemented
66#19127629C2211yescharacteristic, complemented
67#19127627C2211yescharacteristic
68#19127627C2211yescharacteristic, complemented
69#19127624C2211yescharacteristic, complemented
70#19127623C2211yescharacteristic
71#19127623C2211yescharacteristic
72#19127623C2211yescharacteristic
73#19127621C2211yescharacteristic, complemented
74#19127620C2211yescharacteristic, complemented
75#19127618C2211yescharacteristic
76#19127618C2211yescharacteristic
77#19127618C2211yescharacteristic
78#19127617C2211yescharacteristic
79#19127616C2211yescharacteristic
80#19127616C2211yescharacteristic
81#19127616C2211yescharacteristic, complemented
82#19127615C2211yescharacteristic, complemented
83#19127613C2211yescharacteristic, complemented
84#19127612C2211yescharacteristic
85#19127612C2211yescharacteristic
86#19127612C2211yescharacteristic, complemented
87#19127610C2211yescharacteristic
88#19127609C2211yescharacteristic
89#19127609C2211yescharacteristic
90#19127609C2211yescharacteristic, complemented
91#19127607C2211yescharacteristic, complemented
92#19127607C2211yescharacteristic, complemented
93#19127603C2211yescharacteristic
94#19127603C2211yescharacteristic
95#19127603C2211yescharacteristic
96#19127601C2211yescharacteristic, complemented
97#19127599C2211yescharacteristic, complemented
98#19127596C2211yescharacteristic, complemented
99#19127595C2211yescharacteristic, complemented
100#19127594C2211yescharacteristic, complemented
101#19127594C2211yescharacteristic, complemented
102#19127592C2211yescharacteristic
103#19127592C2211yescharacteristic
104#19127592C2211yescharacteristic
105#19127592C2211yescharacteristic
106#19127592C2211yescharacteristic
107#19127592C2211yescharacteristic, complemented
108#19127592C2211yescharacteristic, complemented
109#19127592C2211yescharacteristic, complemented
110#19127591C2211yescharacteristic, complemented
111#19127587C2211yescharacteristic, complemented
112#19127587C2211yescharacteristic, complemented
113#19127585C2211yescharacteristic, complemented
114#19127585C2211yescharacteristic, complemented
115#19127585C2211yescharacteristic, complemented
116#19127585C2211yescharacteristic, complemented
117#19127585C2211yescharacteristic, complemented
118#19127585C2211yescharacteristic, complemented
119#19127581C2211yescharacteristic
120#19127581C2211yescharacteristic
121#19127581C2211yescharacteristic
122#19127581C2211yescharacteristic
123#19127580C2211yescharacteristic
124#19127580C2211yescharacteristic
125#19127580C2211yescharacteristic
126#19127580C2211yescharacteristic
127#19127580C2211yescharacteristic
128#19127580C2211yescharacteristic
129#19127580C2211yescharacteristic
130#19127580C2211yescharacteristic, complemented
131#19127580C2211yescharacteristic, complemented
132#19127580C2211yescharacteristic, complemented
133#19127578C2211yescharacteristic
134#19127577C2211yescharacteristic
135#19127577C2211yescharacteristic
136#19127576C2211yescharacteristic
137#19127576C2211yescharacteristic
138#19127574C2211yescharacteristic
139#19127574C2211yescharacteristic, complemented
140#19127574C2211yescharacteristic, complemented
141#19127574C2211yescharacteristic, complemented
142#19127573C2211yescharacteristic
143#19127572C2211yescharacteristic
144#19127572C2211yescharacteristic
145#19127564C2211yescharacteristic
146#19127564C2211yescharacteristic, complemented
147#19127561C2211yescharacteristic, complemented
148#19127559C2211yescharacteristic
149#19127556C2211yescharacteristic
150C4×Dic83⋊C4C2211yescharacteristic, complemented
151C4×Dic83⋊C4C2211yescharacteristic, complemented
152C4×Dic83⋊C4C2211yescharacteristic, complemented
153C4×C4⋊Dic83C2211yescharacteristic, complemented
154C4×(C2×D83)⋊C4C2211yescharacteristic
155C4×(C2×D83)⋊C4C2211yescharacteristic
156C4×(C2×D83)⋊C4C2211yescharacteristic
157C4×(C2×D83)⋊C4C2211yescharacteristic
158C4×(C2×D83)⋊C4C2211yescharacteristic
159C4×(C2×D83)⋊C4C2211yescharacteristic
160C4×(C2×D83)⋊C4C2211yescharacteristic
161C4×(C2×D83)⋊C4C2211yescharacteristic
162C4×(C2×D83)⋊C4C2211yescharacteristic
163C4×(C2×D83)⋊C4C2211yescharacteristic
164C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
166C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
167C4×C22⋊Dic83C2211yescharacteristic
168C4×C22⋊Dic83C2211yescharacteristic, complemented
169C4×C22⋊Dic83C2211yescharacteristic, complemented
170#19127547C2211yescharacteristic, complemented
171C2×C83⋊#95C2211yescharacteristic
172C2×C83⋊#95C2211yescharacteristic
173C22×#41×C83C2211yescharacteristic
174C4×#41×C83—28no—
175C2×C4×Q8×C83C2211yescharacteristic, complemented
176C2×C4×Q8×C83C2211yescharacteristic, complemented
177C2×C4×D4×C83C2211yescharacteristic
178C2×C4×D4×C83C2211yescharacteristic
179C2×C4×D4×C83C2211yescharacteristic
180C2×C4×D4×C83C2211yescharacteristic
181C2×C4×D4×C83C2211yescharacteristic, complemented
182C2×C4×D4×C83C2211yescharacteristic, complemented
183C2×#117×C83C2211yescharacteristic
184C2×#117×C83C2211yescharacteristic, complemented
185C2×#117×C83C2211yescharacteristic, complemented
186C22×C42×C83C2211yescharacteristic
187C22×C42×C83C2211yescharacteristic, complemented
188C22×C42×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C2×#13050590—24no—
191C2×#13050590—24no—
192C2×#13050590—42no—
193C22×Dic166C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×D332C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C23×Dic83C2311yescharacteristic
205C23×Dic83C2311yescharacteristic
206C22×C4×D83—24no—
207C22×C4×D83—24no—
208C22×C4×D83—42no—
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214#14581777—24no—
215#14581775—24no—
216#14581775—24no—
217#14581774—24no—
218#14581770—24no—
219#14581769—24no—
220#14581766—24no—
221#14581765—24no—
222#14581764—24no—
223#14581764—24no—
224#14581762—24no—
225#14581760—24no—
226#14581760—24no—
227C4×D332—24no—
228C4×C22⋊D83—24no—
229C4×C22⋊D83—24no—
230C4×C22⋊D83—24no—
231C4×C22⋊D83—42no—
232C4×C22⋊D83—42no—
233#14581751—42no—
234#14581749—24no—
235C2×C4⋊Dic83C2311yescharacteristic
236C2×C4⋊Dic83C2311yescharacteristic
237C2×C4⋊Dic83C2311yescharacteristic
238C2×C4⋊Dic83C2311yescharacteristic
239C2×C4⋊Dic83C2311yescharacteristic
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
252C2×Dic83⋊C4C2311yescharacteristic
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×C22⋊Dic83C2311yescharacteristic
266C2×(C2×D83)⋊C4—24no—
267C2×(C2×D83)⋊C4—24no—
268C2×(C2×D83)⋊C4C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×C4×Dic83—42no—
296C2×C4×Dic83C2311yescharacteristic
297C2×C4×Dic83C2311yescharacteristic
298C2×C4×Dic83C2311yescharacteristic
299C2×C4×Dic83C2311yescharacteristic
300C2×C4×Dic83C2311yescharacteristic
301C2×C4×Dic83C2311yescharacteristic
302C2×C4×Dic83C2311yescharacteristic
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
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C2×#41×C83—24no—
340C2×#41×C83—24no—
341C2×#41×C83—24no—
342C22×Q8×C83C2311yescharacteristic
343C22×D4×C83C2311yescharacteristic
344C22×D4×C83C2311yescharacteristic
345C22×D4×C83C2311yescharacteristic
346C23×C4×C83C2311yescharacteristic
347C23×C4×C83C2311yescharacteristic
348C23×C4×C83C2311yescharacteristic
349C23×C4×C83C2311yescharacteristic
350C23×C4×C83C2311yescharacteristic
351C23×C4×C83C2311yescharacteristic
352C23×C4×C83C2311yescharacteristic
353C23×C4×C83C2311yescharacteristic
354C23×C4×C83C2311yescharacteristic
355C4×Q8×C83—24no—
356C4×Q8×C83—24no—
357C4×D4×C83—24no—
358C4×D4×C83—24no—
359C4×D4×C83—24no—
360C4×D4×C83—24no—
361C4×D4×C83—24no—
362C4×D4×C83D418yescomplemented
363#117×C83—24no—
364#117×C83—24no—
365#117×C83—24no—
366C2×C4⋊C4×C83C2311yescharacteristic
367C2×C4⋊C4×C83C2311yescharacteristic
368C2×C4⋊C4×C83C2311yescharacteristic
369C2×C4⋊C4×C83C2311yescharacteristic
370C2×C4⋊C4×C83C2311yescharacteristic
371C2×C4⋊C4×C83C2311yescharacteristic
372C2×C22⋊C4×C83C2311yescharacteristic
373C2×C22⋊C4×C83C2311yescharacteristic
374C2×C22⋊C4×C83C2311yescharacteristic
375C2×C22⋊C4×C83C2311yescharacteristic
376C2×C22⋊C4×C83C2311yescharacteristic
377C2×C22⋊C4×C83C2311yescharacteristic
378C2×C42×C83—24no—
379C2×C42×C83—24no—
380C2×C42×C83—24no—
381C2×C42×C83C2311yescharacteristic
382C2×C42×C83C2311yescharacteristic
383C2×C42×C83C2311yescharacteristic
384C2×C42×C83C2311yescharacteristic
385C2×C42×C83C2311yescharacteristic
386C2×C42×C83C2311yescharacteristic
387C2×C42×C83C2311yescharacteristic
388C2×C42×C83C2311yescharacteristic
389C2×C42×C83C2311yescharacteristic
390C2×C42×C83C2311yescharacteristic
391C23×D83—22no—
392C23×D83—22no—
393C23×D83—22no—
394C23×D83—22no—
395C23×D83—22no—
396C23×D83—41no—
397C23×D83—41no—
398C23×D83C2411yescharacteristic
399C23×D83C2411yescharacteristic
400C23×D83C2411yescharacteristic
401#13050590—416no—
402C2×Dic166—22no—
403C2×Dic166—22no—
404C2×Dic166—41no—
405C2×D332—22no—
406C2×D332—22no—
407C2×D332—22no—
408C2×D332—22no—
409C2×D332—41no—
410C2×D332—41no—
411C2×C22⋊D83—22no—
412C2×C22⋊D83—22no—
413C2×C22⋊D83—22no—
414C2×C22⋊D83—22no—
415C2×C22⋊D83—22no—
416C2×C22⋊D83—22no—
417C2×C22⋊D83—22no—
418C2×C22⋊D83—22no—
419C2×C22⋊D83—22no—
420C2×C22⋊D83—22no—
421C2×C22⋊D83—22no—
422C2×C22⋊D83—22no—
423C2×C22⋊D83—22no—
424C2×C22⋊D83—22no—
425C2×C22⋊D83—22no—
426C2×C22⋊D83—41no—
427C2×C22⋊D83—41no—
428C2×C22⋊D83—41no—
429C2×C22⋊D83—41no—
430C2×C22⋊D83—41no—
431C2×C22⋊D83—41no—
432C22×Dic83—22no—
433C22×Dic83—22no—
434C22×Dic83—22no—
435C22×Dic83—22no—
436C22×Dic83—22no—
437C22×Dic83—41no—
438C22×Dic83—41no—
439C22×Dic83—41no—
440C22×Dic83—41no—
441C22×Dic83C2411yescharacteristic
442C22×Dic83C2411yescharacteristic
443C22×Dic83C2411yescharacteristic
444C22×Dic83C2411yescharacteristic
445C22×Dic83C2411yescharacteristic
446C22×Dic83C2411yescharacteristic
447C22×Dic83C2411yescharacteristic
448C22×Dic83C2411yescharacteristic
449C22×Dic83C2411yescharacteristic
450C22×Dic83C2411yescharacteristic
451C22×Dic83C2411yescharacteristic
452C22×Dic83C2411yescharacteristic
453C22×Dic83C2411yescharacteristic
454C2×C4×D83—22no—
455C2×C4×D83—22no—
456C2×C4×D83—22no—
457C2×C4×D83—22no—
458C2×C4×D83—22no—
459C2×C4×D83—22no—
460C2×C4×D83—22no—
461C2×C4×D83—22no—
462C2×C4×D83—22no—
463C2×C4×D83—22no—
464C2×C4×D83—22no—
465C2×C4×D83—22no—
466C2×C4×D83—416no—
467C2×C4×D83—41no—
468C2×C4×D83—41no—
469C2×C4×D83#4114yescomplemented
470C4⋊Dic83—22no—
471C4⋊Dic83—22no—
472C4⋊Dic83—41no—
473C4⋊Dic83—41no—
474C4⋊Dic83—41no—
475Dic83⋊C4—22no—
476Dic83⋊C4—22no—
477Dic83⋊C4—22no—
478Dic83⋊C4—22no—
479Dic83⋊C4—22no—
480Dic83⋊C4—22no—
481Dic83⋊C4—22no—
482Dic83⋊C4—22no—
483Dic83⋊C4—22no—
484Dic83⋊C4—22no—
485Dic83⋊C4—41no—
486Dic83⋊C4—41no—
487Dic83⋊C4—41no—
488C22⋊Dic83—22no—
489C22⋊Dic83—22no—
490C22⋊Dic83—22no—
491C22⋊Dic83—22no—
492C22⋊Dic83—22no—
493C22⋊Dic83—22no—
494C22⋊Dic83—22no—
495C22⋊Dic83—41no—
496C22⋊Dic83—41no—
497C22⋊Dic83—41no—
498C22⋊Dic83—41no—
499C22⋊Dic83—41no—
500C22⋊Dic83—41no—
501(C2×D83)⋊C4—22no—
502(C2×D83)⋊C4—22no—
503(C2×D83)⋊C4—22no—
504(C2×D83)⋊C4—22no—
505(C2×D83)⋊C4—22no—
506(C2×D83)⋊C4—22no—
507(C2×D83)⋊C4—22no—
508(C2×D83)⋊C4—22no—
509(C2×D83)⋊C4—22no—
510(C2×D83)⋊C4—22no—
511(C2×D83)⋊C4—22no—
512(C2×D83)⋊C4—22no—
513(C2×D83)⋊C4—22no—
514(C2×D83)⋊C4—22no—
515(C2×D83)⋊C4—22no—
516(C2×D83)⋊C4—22no—
517(C2×D83)⋊C4—22no—
518(C2×D83)⋊C4—22no—
519(C2×D83)⋊C4—22no—
520(C2×D83)⋊C4—22no—
521(C2×D83)⋊C4—22no—
522(C2×D83)⋊C4—41no—
523(C2×D83)⋊C4—41no—
524(C2×D83)⋊C4—41no—
525(C2×D83)⋊C4—41no—
526(C2×D83)⋊C4—41no—
527(C2×D83)⋊C4#4114yescomplemented
528C4×Dic83—22no—
529C4×Dic83—22no—
530C4×Dic83—22no—
531C4×Dic83—22no—
532C4×Dic83—22no—
533C4×Dic83—41no—
534C4×Dic83—41no—
535C24×C83C2411yescharacteristic
536C24×C83C2411yescharacteristic
537C24×C83C2411yescharacteristic
538#41×C83—232no—
539C2×Q8×C83—22no—
540C2×Q8×C83—22no—
541C2×Q8×C83—22no—
542C2×D4×C83—22no—
543C2×D4×C83—22no—
544C2×D4×C83—22no—
545C2×D4×C83—22no—
546C2×D4×C83—22no—
547C2×D4×C83—22no—
548C2×D4×C83—22no—
549C2×D4×C83C2×D414yes—
550C2×D4×C83#4114yescomplemented
551C22×C4×C83—22no—
552C22×C4×C83—22no—
553C22×C4×C83—22no—
554C22×C4×C83—22no—
555C22×C4×C83—22no—
556C22×C4×C83—22no—
557C22×C4×C83—22no—
558C22×C4×C83—22no—
559C22×C4×C83—22no—
560C22×C4×C83—22no—
561C22×C4×C83—22no—
562C22×C4×C83—22no—
563C22×C4×C83—22no—
564C22×C4×C83—22no—
565C22×C4×C83—22no—
566C22×C4×C83—22no—
567C22×C4×C83—22no—
568C22×C4×C83—22no—
569C22×C4×C83—22no—
570C22×C4×C83—22no—
571C22×C4×C83—22no—
572C22×C4×C83—41no—
573C22×C4×C83—41no—
574C22×C4×C83—41no—
575C22×C4×C83C2×D414yes—
576C22×C4×C83C2×D414yes—
577C22×C4×C83#4114yescomplemented
578C22×C4×C83C2411yescharacteristic
579C22×C4×C83C2411yescharacteristic
580C22×C4×C83C2411yescharacteristic
581C22×C4×C83C2411yescharacteristic
582C22×C4×C83C2411yescharacteristic
583C22×C4×C83C2411yescharacteristic
584C22×C4×C83C2411yescharacteristic
585C22×C4×C83C2411yescharacteristic
586C22×C4×C83C2411yescharacteristic
587C22×C4×C83C2411yescharacteristic
588C22×C4×C83C2411yescharacteristic
589C22×C4×C83C2411yescharacteristic
590C4⋊C4×C83—22no—
591C4⋊C4×C83—22no—
592C4⋊C4×C83—22no—
593C4⋊C4×C83—22no—
594C4⋊C4×C83—22no—
595C4⋊C4×C83C2×D414yes—
596C22⋊C4×C83—22no—
597C22⋊C4×C83—22no—
598C22⋊C4×C83—22no—
599C22⋊C4×C83—22no—
600C22⋊C4×C83C2×D414yes—
601C22⋊C4×C83C2×D414yes—
602C42×C83—22no—
603C42×C83—22no—
604C42×C83—22no—
605C42×C83—22no—
606C42×C83—22no—
607C42×C83—22no—
608C42×C83—22no—
609C42×C83—22no—
610C42×C83—22no—
611C42×C83C2×D414yes—
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—21no—
623C23×C83—21no—
624C23×C83—21no—
625C23×C83—21no—
626C23×C83—21no—
627C23×C83—21no—
628C23×C83C22×D412yes—
629C23×C83C22×D412yes—
630C23×C83C2×#4112yes—
631C23×C83C2×#4112yes—
632C23×C83C2×#4112yes—
633C23×C83C2511yescharacteristic
634C22×D83—28no—
635C22×D83—21no—
636C22×D83—21no—
637C22×D83—21no—
638C22×D83—21no—
639C22×D83—21no—
640C22×D83—21no—
641C22×D83—21no—
642C22×D83—21no—
643C22×D83—21no—
644C22×D83—21no—
645C22×D83—21no—
646C22×D83—21no—
647C22×D83—21no—
648C22×D83—21no—
649C22×D83—21no—
650C22×D83—21no—
651C22×D83—21no—
652C22×D83—21no—
653C22×D83—21no—
654C22×D83—44no—
655C22×D83—44no—
656C22×D83—44no—
657C22×D83—44no—
658C22×D83—44no—
659C22×D83—44no—
660C22×D83C2×#4112yes—
661C22×D83C2×#4112yes—
662Q8×C83—28no—
663D4×C83—28no—
664D4×C83—28no—
665D4×C83—28no—
666C2×C4×C83—28no—
667C2×C4×C83—28no—
668C2×C4×C83—28no—
669C2×C4×C83—21no—
670C2×C4×C83—21no—
671C2×C4×C83—21no—
672C2×C4×C83—21no—
673C2×C4×C83—21no—
674C2×C4×C83—21no—
675C2×C4×C83—21no—
676C2×C4×C83—21no—
677C2×C4×C83—21no—
678C2×C4×C83—21no—
679C2×C4×C83—21no—
680C2×C4×C83—21no—
681C2×C4×C83—21no—
682C2×C4×C83—21no—
683C2×C4×C83—21no—
684C2×C4×C83—21no—
685C2×C4×C83—28no—
686C2×C4×C83—28no—
687C2×C4×C83—21no—
688C2×C4×C83—21no—
689C2×C4×C83—21no—
690C2×C4×C83—21no—
691C2×C4×C83—21no—
692C2×C4×C83—21no—
693C2×C4×C83—21no—
694C2×C4×C83—21no—
695C2×C4×C83—21no—
696C2×C4×C83—44no—
697C2×C4×C83—44no—
698C2×C4×C83—44no—
699C2×C4×C83—44no—
700C2×C4×C83C22×D412yes—
701C2×C4×C83C22×D412yes—
702C2×C4×C83C22×D412yes—
703C2×C4×C83C22×D412yes—
704C2×C4×C83C22×D412yes—
705C2×C4×C83C2×#4112yes—
706C2×C4×C83C2×#4112yes—
707C2×C4×C83C2×#4112yes—
708C2×C4×C83C2×#4112yes—
709C2×C4×C83C2×#4112yes—
710C2×C4×C83H(5,𝔽2)12yes—
711C22⋊D83—44no—
712C22⋊D83—44no—
713C22⋊D83—44no—
714C22⋊D83—44no—
715C22⋊D83—44no—
716C22⋊D83—44no—
717C22⋊D83—44no—
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—21no—
736C2×Dic83—21no—
737C2×Dic83—21no—
738C2×Dic83—21no—
739C2×Dic83—21no—
740C2×Dic83—21no—
741C2×Dic83—21no—
742C2×Dic83—21no—
743C2×Dic83—21no—
744C2×Dic83—21no—
745C2×Dic83—21no—
746C2×Dic83—21no—
747C2×Dic83—21no—
748C2×Dic83—21no—
749C2×Dic83—21no—
750C2×Dic83—21no—
751C2×Dic83—21no—
752C2×Dic83—21no—
753C2×Dic83—21no—
754C2×Dic83—21no—
755C2×Dic83—44no—
756C2×Dic83—44no—
757C2×Dic83—44no—
758C2×Dic83C2×#4112yes—
759C2×Dic83C2×#4112yes—
760D332—44no—
761D332—44no—
762C4×D83—28no—
763C4×D83—44no—
764C4×D83—44no—
765C4×D83—44no—
766C4×D83—44no—
767Dic166—44no—
768C22×C83—22no—
769C22×C83—22no—
770C22×C83—22no—
771C22×C83—22no—
772C22×C83—22no—
773C22×C83—22no—
774C22×C83—22no—
775C22×C83—22no—
776C22×C83—22no—
777C22×C83—22no—
778C22×C83—22no—
779C22×C83—22no—
780C22×C83—41no—
781C22×C83—41no—
782C22×C83—41no—
783C22×C83—41no—
784C22×C83—41no—
785C22×C83—41no—
786C22×C83—41no—
787C22×C83—41no—
788C22×C83#52514yes—
789C22×C83C23×D411yescharacteristic
790C22×C83C22×#4111yescharacteristic
791C22×C83C22×#4111yescharacteristic
792C22×C83C22×#4111yescharacteristic
793C22×C83C22×#4111yescharacteristic
794C22×C83C2×H(5,𝔽2)11yescharacteristic
795C22×C83#58511yescharacteristic
796C2×D83—22no—
797C2×D83—22no—
798C2×D83—22no—
799C2×D83—22no—
800C2×D83—22no—
801C2×D83—22no—
802C2×D83—416no—
803C2×D83—41no—
804C2×D83—41no—
805C2×D83—41no—
806C2×D83—41no—
807C2×D83—41no—
808C2×D83—41no—
809C2×D83—41no—
810C2×D83—41no—
811C2×D83—41no—
812C2×D83—41no—
813C2×D83—41no—
814C2×D83—41no—
815C2×D83—41no—
816C2×D83—41no—
817C2×D83—41no—
818C4×C83—22no—
819C4×C83—22no—
820C4×C83—22no—
821C4×C83—22no—
822C4×C83—22no—
823C4×C83—22no—
824C4×C83—22no—
825C4×C83—22no—
826C4×C83—41no—
827C4×C83—41no—
828C4×C83—41no—
829C4×C83#54614yes—
830Dic83—22no—
831Dic83—22no—
832Dic83—41no—
833Dic83—41no—
834Dic83—41no—
835Dic83—41no—
836Dic83—41no—
837Dic83—41no—
838Dic83—41no—
839Dic83—41no—
840Dic83—41no—
841Dic83—41no—
842Dic83—41no—
843#34732—831nomaximal, Sylow
844C2×C83—24no—
845C2×C83—42no—
846C2×C83—42no—
847C2×C83C2×#52511yescharacteristic
848C2×C83#344411yescharacteristic
849C2×C83#346011yescharacteristic
850C2×C83C2×#54611yescharacteristic
851C2×C83D4×#4111yescharacteristic
852C2×C83#347511yescharacteristic
853C2×C83#348111yescharacteristic
854D83—42no—
855D83—42no—
856D83—81no—
857C2×#525—831no—
858C2×C4×#41D8311yescharacteristic, complemented
859#2477—831no—
860#2476—831no—
861#2471—831no—
862#2470—831no—
863#2465—831no—
864#2464—831no—
865#2458—831no—
866#2457—831no—
867#2450—831no—
868#2444—831no—
869#2438—831no—
870#2430—831no—
871#2424—831no—
872#2418—831no—
873#2411—831no—
874#2404—831no—
875#2398—831no—
876#2396—831no—
877#2392—831no—
878#2388—831no—
879C4×#123—831no—
880C4×#123—831no—
881C4×#121—831no—
882C4×#121—831no—
883C4×#120—831no—
884#2297—831no—
885#2290—831no—
886#2290—831no—
887C2×C4×C22⋊C4—831no—
888C83#3473211yescharacteristic, complemented, Sylow
889C22×#41—831no—
890C22×#41C2×D8311yescharacteristic
891C24×C4—831no—
892#525—1668no—
893C2×#123—831no—
894C2×#123—831no—
895C2×#123—831no—
896C2×#123—831no—
897C2×C22⋊Q8—831no—
898C2×C22⋊Q8—831no—
899C2×#121—831no—
900C2×#121—831no—
901C2×#121—831no—
902C2×#121—831no—
903C2×#120—831no—
904C2×#120—831no—
905C2×#120—831no—
906C4×#41—28no—
907C2×C4×Q8C2×D8311yescharacteristic, complemented
908C2×C4×Q8C2×D8311yescharacteristic, complemented
909C2×C4×D4—831no—
910C2×C4×D4—831no—
911C2×C4×D4—831no—
912C2×C4×D4—831no—
913C2×C4×D4—831no—
914C2×C4×D4—831no—
915C2×C4×D4C2×D8311yescharacteristic
916C2×C4×D4C2×D8311yescharacteristic
917C2×C4×D4C2×D8311yescharacteristic
918C2×C4×D4C2×D8311yescharacteristic
919C2×C4×D4C2×D8311yescharacteristic, complemented
920C2×C4×D4C2×D8311yescharacteristic, complemented
921C2×#117—831no—
922C2×#117—831no—
923C2×#117C2×D8311yescharacteristic
924C2×#117C2×D8311yescharacteristic, complemented
925C2×#117C2×D8311yescharacteristic, complemented
926C22×C22⋊C4—831no—
927C22×C22⋊C4—831no—
928C22×C42—831no—
929C22×C42C2×D8311yescharacteristic
930C22×C42C2×D8311yescharacteristic, complemented
931C22×C42C2×D8311yescharacteristic, complemented
932#400—831no—
933#400—831no—
934#400—831no—
935#399—831no—
936#398—831no—
937#398—831no—
938#398—831no—
939#397—831no—
940#397—831no—
941#397—831no—
942#396—831no—
943#396—831no—
944#396—831no—
945#396—831no—
946#395—831no—
947#395—831no—
948#394—831no—
949#394—831no—
950#394—831no—
951#394—831no—
952#394—831no—
953#394—831no—
954#394—831no—
955#394—831no—
956#393—831no—
957#393—831no—
958#393—831no—
959#393—831no—
960#392—831no—
961#392—831no—
962#392—831no—
963#392—831no—
964#391—831no—
965#391—831no—
966#390—831no—
967#390—831no—
968#390—831no—
969#390—831no—
970#389—831no—
971#389—831no—
972#388—831no—
973#388—831no—
974#388—831no—
975#388—831no—
976#388—831no—
977#388—831no—
978#388—831no—
979#388—831no—
980#388—831no—
981#388—831no—
982#388—831no—
983#388—831no—
984#387—831no—
985#387—831no—
986#387—831no—
987#387—831no—
988#387—831no—
989#387—831no—
990#387—831no—
991#387—831no—
992#386—831no—
993#386—831no—
994#386—831no—
995#386—831no—
996#386—831no—
997#386—831no—
998#386—831no—
999#386—831no—
1000#386—831no—
1001#386—831no—
1002#386—831no—
1003#386—831no—
1004#386—831no—
1005#386—831no—
1006#386—831no—
1007#386—831no—
1008#386—831no—
1009#385—831no—
1010#385—831no—
1011#385—831no—
1012#385—831no—
1013#385—831no—
1014#385—831no—
1015#385—831no—
1016#385—831no—
1017#385—831no—
1018#381—831no—
1019#381—831no—
1020#380—831no—
1021#380—831no—
1022#379—831no—
1023C4×C4⋊C4—831no—
1024C4×C4⋊C4—831no—
1025C4×C4⋊C4—831no—
1026C4×C4⋊C4—831no—
1027C4×C22⋊C4—831no—
1028C4×C22⋊C4—831no—
1029C4×C22⋊C4—831no—
1030C4×C22⋊C4—831no—
1031C4×C22⋊C4—831no—
1032C4×C22⋊C4—831no—
1033C4×C22⋊C4—831no—
1034C4×C22⋊C4—831no—
1035C4×C22⋊C4—831no—
1036C4×C22⋊C4—831no—
1037C4×C22⋊C4—831no—
1038C4×C22⋊C4—831no—
1039C4×C22⋊C4—831no—
1040C4×C22⋊C4—831no—
1041C4×C22⋊C4—831no—
1042C4×C22⋊C4—831no—
1043#376—831no—
1044C2×#95—831no—
1045C2×#95—831no—
1046C25—831no—
1047C2×#41—24no—
1048C2×#41—24no—
1049C2×#41—24no—
1050C2×#41—3322no—
1051C2×#41—1664no—
1052C2×#41—1664no—
1053C22×Q8—831no—
1054C22×Q8C22×D8311yescharacteristic
1055C22×D4—831no—
1056C22×D4—831no—
1057C22×D4—831no—
1058C22×D4—831no—
1059C22×D4—831no—
1060C22×D4—831no—
1061C22×D4—831no—
1062C22×D4—831no—
1063C22×D4—831no—
1064C22×D4C22×D8311yescharacteristic
1065C22×D4C22×D8311yescharacteristic
1066C22×D4C22×D8311yescharacteristic
1067C23×C4—3322no—
1068C23×C4—831no—
1069C23×C4—831no—
1070C23×C4—831no—
1071C23×C4—831no—
1072C23×C4—831no—
1073C23×C4—831no—
1074C23×C4—831no—
1075C23×C4—831no—
1076C23×C4—1664no—
1077C23×C4—1664no—
1078C23×C4C22×D8311yescharacteristic
1079C23×C4C22×D8311yescharacteristic
1080C23×C4C22×D8311yescharacteristic
1081C23×C4C22×D8311yescharacteristic
1082C23×C4C22×D8311yescharacteristic
1083C23×C4C22×D8311yescharacteristic
1084C23×C4C22×D8311yescharacteristic
1085C23×C4C22×D8311yescharacteristic
1086C23×C4C22×D8311yescharacteristic
1087#123—1664no—
1088#123—1664no—
1089#123—1664no—
1090#123—1664no—
1091C22⋊Q8—1664no—
1092C22⋊Q8—1664no—
1093#121—1664no—
1094#121—1664no—
1095#121—1664no—
1096#121—1664no—
1097#120—1664no—
1098#120—1664no—
1099#120—1664no—
1100C4×Q8—24no—
1101C4×Q8—24no—
1102C4×D4—24no—
1103C4×D4—24no—
1104C4×D4—24no—
1105C4×D4—24no—
1106C4×D4—24no—
1107C4×D4—3322no—
1108C4×D4—3322no—
1109C4×D4—1664no—
1110C4×D4—1664no—
1111C4×D4—1664no—
1112C4×D4—1664no—
1113C4×D4C22⋊D8318yescomplemented
1114#117—24no—
1115#117—24no—
1116#117—24no—
1117#117—3322no—
1118#117—1664no—
1119C2×C4⋊C4—831no—
1120C2×C4⋊C4—831no—
1121C2×C4⋊C4—831no—
1122C2×C4⋊C4—831no—
1123C2×C4⋊C4—831no—
1124C2×C4⋊C4—831no—
1125C2×C4⋊C4—831no—
1126C2×C4⋊C4—831no—
1127C2×C4⋊C4—831no—
1128C2×C4⋊C4—831no—
1129C2×C4⋊C4—831no—
1130C2×C4⋊C4—831no—
1131C2×C4⋊C4—831no—
1132C2×C4⋊C4—831no—
1133C2×C4⋊C4—831no—
1134C2×C4⋊C4—831no—
1135C2×C4⋊C4—831no—
1136C2×C4⋊C4—831no—
1137C2×C4⋊C4C22×D8311yescharacteristic
1138C2×C4⋊C4C22×D8311yescharacteristic
1139C2×C4⋊C4C22×D8311yescharacteristic
1140C2×C4⋊C4C22×D8311yescharacteristic
1141C2×C4⋊C4C22×D8311yescharacteristic
1142C2×C4⋊C4C22×D8311yescharacteristic
1143C2×C22⋊C4—831no—
1144C2×C22⋊C4—831no—
1145C2×C22⋊C4—831no—
1146C2×C22⋊C4—831no—
1147C2×C22⋊C4—831no—
1148C2×C22⋊C4—831no—
1149C2×C22⋊C4—831no—
1150C2×C22⋊C4—831no—
1151C2×C22⋊C4—831no—
1152C2×C22⋊C4—831no—
1153C2×C22⋊C4—831no—
1154C2×C22⋊C4—831no—
1155C2×C22⋊C4—831no—
1156C2×C22⋊C4—831no—
1157C2×C22⋊C4—831no—
1158C2×C22⋊C4—831no—
1159C2×C22⋊C4—831no—
1160C2×C22⋊C4—831no—
1161C2×C22⋊C4—831no—
1162C2×C22⋊C4—831no—
1163C2×C22⋊C4—831no—
1164C2×C22⋊C4—831no—
1165C2×C22⋊C4—831no—
1166C2×C22⋊C4—831no—
1167C2×C22⋊C4—831no—
1168C2×C22⋊C4—831no—
1169C2×C22⋊C4—831no—
1170C2×C22⋊C4—831no—
1171C2×C22⋊C4—831no—
1172C2×C22⋊C4—831no—
1173C2×C22⋊C4—831no—
1174C2×C22⋊C4—831no—
1175C2×C22⋊C4—831no—
1176C2×C22⋊C4—831no—
1177C2×C22⋊C4—831no—
1178C2×C22⋊C4—831no—
1179C2×C22⋊C4—831no—
1180C2×C22⋊C4—831no—
1181C2×C22⋊C4—831no—
1182C2×C22⋊C4—831no—
1183C2×C22⋊C4—1664no—
1184C2×C22⋊C4—1664no—
1185C2×C22⋊C4C22×D8311yescharacteristic
1186C2×C22⋊C4C22×D8311yescharacteristic
1187C2×C22⋊C4C22×D8311yescharacteristic
1188C2×C22⋊C4C22×D8311yescharacteristic
1189C2×C22⋊C4C22×D8311yescharacteristic
1190C2×C22⋊C4C22×D8311yescharacteristic
1191C2×C42—24no—
1192C2×C42—24no—
1193C2×C42—24no—
1194C2×C42—3322no—
1195C2×C42—831no—
1196C2×C42—831no—
1197C2×C42—831no—
1198C2×C42—831no—
1199C2×C42—831no—
1200C2×C42—831no—
1201C2×C42—831no—
1202C2×C42C22×D8311yescharacteristic
1203C2×C42C22×D8311yescharacteristic
1204C2×C42C22×D8311yescharacteristic
1205C2×C42C22×D8311yescharacteristic
1206C2×C42C22×D8311yescharacteristic
1207C2×C42C22×D8311yescharacteristic
1208C2×C42C22×D8311yescharacteristic
1209C2×C42C22×D8311yescharacteristic
1210C2×C42C22×D8311yescharacteristic
1211C2×C42C22×D8311yescharacteristic
1212#95—831no—
1213#95—831no—
1214#95—831no—
1215#95—831no—
1216#95—831no—
1217#95—831no—
1218#95—831no—
1219#95—831no—
1220#95—831no—
1221#95—831no—
1222#95—831no—
1223#95—831no—
1224#95—831no—
1225#95—831no—
1226#95—831no—
1227#95—831no—
1228#95—831no—
1229#95—831no—
1230#95—831no—
1231#95—831no—
1232#95—831no—
1233#95—831no—
1234#95—831no—
1235#95—831no—
1236#95—831no—
1237#95—831no—
1238#95—831no—
1239#95—831no—
1240#95—831no—
1241#95—831no—
1242#95—831no—
1243#95—831no—
1244#95—831no—
1245#95—831no—
1246#95—831no—
1247#95—831no—
1248C24—3321no—
1249C24—3321no—
1250C24—831no—
1251C24—831no—
1252C24—831no—
1253C24—1662no—
1254C24—1662no—
1255C24—1662no—
1256C24—1662no—
1257C24—1662no—
1258C24C23×D8311yescharacteristic
1259C24C23×D8311yescharacteristic
1260C24C23×D8311yescharacteristic
1261#41—232no—
1262#41—33216no—
1263C2×Q8—22no—
1264C2×Q8—22no—
1265C2×Q8—22no—
1266C2×Q8—3321no—
1267C2×Q8—1662no—
1268C2×Q8—1662no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—3321no—
1277C2×D4—3321no—
1278C2×D4—3321no—
1279C2×D4—3321no—
1280C2×D4—3321no—
1281C2×D4—3321no—
1282C2×D4—3321no—
1283C2×D4—3321no—
1284C2×D4—1662no—
1285C2×D4—1662no—
1286C2×D4—1662no—
1287C2×D4—1662no—
1288C2×D4—1662no—
1289C2×D4—1662no—
1290C2×D4—1662no—
1291C2×D4—1662no—
1292C2×D4—1662no—
1293C2×D4—1662no—
1294C2×D4—1662no—
1295C2×D4—1662no—
1296C2×D4—1662no—
1297C2×D4—1662no—
1298C2×D4—1662no—
1299C2×D4—1662no—
1300C2×D4—1662no—
1301C2×D4—1662no—
1302C2×D4—1662no—
1303C2×D4C2×C22⋊D8314yes—
1304C2×D4#1305059014yescomplemented
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—33216no—
1330C22×C4—3321no—
1331C22×C4—3321no—
1332C22×C4—3321no—
1333C22×C4—3321no—
1334C22×C4—3321no—
1335C22×C4—3321no—
1336C22×C4—831no—
1337C22×C4—831no—
1338C22×C4—834no—
1339C22×C4—831no—
1340C22×C4—831no—
1341C22×C4—831no—
1342C22×C4—831no—
1343C22×C4—831no—
1344C22×C4—831no—
1345C22×C4—831no—
1346C22×C4—831no—
1347C22×C4—831no—
1348C22×C4—831no—
1349C22×C4—831no—
1350C22×C4—1662no—
1351C22×C4—1662no—
1352C22×C4—1662no—
1353C22×C4—1662no—
1354C22×C4—1662no—
1355C22×C4—1662no—
1356C22×C4—1662no—
1357C22×C4—1662no—
1358C22×C4—1662no—
1359C22×C4—1662no—
1360C22×C4—1662no—
1361C22×C4—1662no—
1362C22×C4—1662no—
1363C22×C4—1662no—
1364C22×C4—1662no—
1365C22×C4—1662no—
1366C22×C4—1662no—
1367C22×C4C2×C22⋊D8314yes—
1368C22×C4C2×C22⋊D8314yes—
1369C22×C4#1305059014yescomplemented
1370C22×C4C23×D8311yescharacteristic
1371C22×C4C23×D8311yescharacteristic
1372C22×C4C23×D8311yescharacteristic
1373C22×C4C23×D8311yescharacteristic
1374C22×C4C23×D8311yescharacteristic
1375C22×C4C23×D8311yescharacteristic
1376C22×C4C23×D8311yescharacteristic
1377C22×C4C23×D8311yescharacteristic
1378C22×C4C23×D8311yescharacteristic
1379C22×C4C23×D8311yescharacteristic
1380C22×C4C23×D8311yescharacteristic
1381C22×C4C23×D8311yescharacteristic
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—3321no—
1388C4⋊C4—3321no—
1389C4⋊C4—3321no—
1390C4⋊C4—3321no—
1391C4⋊C4—3321no—
1392C4⋊C4—3321no—
1393C4⋊C4—1662no—
1394C4⋊C4—1662no—
1395C4⋊C4—1662no—
1396C4⋊C4—1662no—
1397C4⋊C4—1662no—
1398C4⋊C4—1662no—
1399C4⋊C4—1662no—
1400C4⋊C4—1662no—
1401C4⋊C4—1662no—
1402C4⋊C4—1662no—
1403C4⋊C4—1662no—
1404C4⋊C4—1662no—
1405C4⋊C4C2×C22⋊D8314yes—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—3321no—
1411C22⋊C4—3321no—
1412C22⋊C4—3321no—
1413C22⋊C4—3321no—
1414C22⋊C4—3321no—
1415C22⋊C4—3321no—
1416C22⋊C4—3321no—
1417C22⋊C4—3321no—
1418C22⋊C4—3321no—
1419C22⋊C4—3321no—
1420C22⋊C4—3321no—
1421C22⋊C4—834no—
1422C22⋊C4—1662no—
1423C22⋊C4—1662no—
1424C22⋊C4—1662no—
1425C22⋊C4—1662no—
1426C22⋊C4—1662no—
1427C22⋊C4—1662no—
1428C22⋊C4—1662no—
1429C22⋊C4—1662no—
1430C22⋊C4—1662no—
1431C22⋊C4—1662no—
1432C22⋊C4—1662no—
1433C22⋊C4—1662no—
1434C22⋊C4—1662no—
1435C22⋊C4—1662no—
1436C22⋊C4—1662no—
1437C22⋊C4—1662no—
1438C22⋊C4—1662no—
1439C22⋊C4—1662no—
1440C22⋊C4—1662no—
1441C22⋊C4—1662no—
1442C22⋊C4—1662no—
1443C22⋊C4—1662no—
1444C22⋊C4—1662no—
1445C22⋊C4—1662no—
1446C22⋊C4—1662no—
1447C22⋊C4—1662no—
1448C22⋊C4—1662no—
1449C22⋊C4—1662no—
1450C22⋊C4C2×C22⋊D8314yes—
1451C22⋊C4C2×C22⋊D8314yes—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—3321no—
1462C42—3321no—
1463C42—1662no—
1464C42—1662no—
1465C42—1662no—
1466C42—1662no—
1467C42—1662no—
1468C42C2×C22⋊D8314yes—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—3324no—
1486C23—3324no—
1487C23—3324no—
1488C23—3324no—
1489C23—3324no—
1490C23—3324no—
1491C23—832no—
1492C23—832no—
1493C23—1668no—
1494C23—1661no—
1495C23—1661no—
1496C23—1661no—
1497C23—1661no—
1498C23—1661no—
1499C23—1661no—
1500C23—1661no—
1501C23—1661no—
1502C23—1661no—
1503C23—1661no—
1504C23—1661no—
1505C23—1661no—
1506C23—1661no—
1507C23—1661no—
1508C23—1661no—
1509C23—1661no—
1510C23—1661no—
1511C23—1661no—
1512C23—1661no—
1513C23C22×C22⋊D8312yes—
1514C23C22×C22⋊D8312yes—
1515C23C2×#1305059012yes—
1516C23C2×#1305059012yes—
1517C23C2×#1305059012yes—
1518C23C24×D8311yescharacteristic
1519Q8—28no—
1520Q8—3324no—
1521D4—28no—
1522D4—28no—
1523D4—28no—
1524D4—3324no—
1525D4—3324no—
1526D4—3324no—
1527D4—3324no—
1528D4—3324no—
1529D4—3324no—
1530D4—3324no—
1531D4—3324no—
1532D4—3324no—
1533C2×C4—28no—
1534C2×C4—28no—
1535C2×C4—28no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—28no—
1553C2×C4—28no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—3324no—
1568C2×C4—3324no—
1569C2×C4—3324no—
1570C2×C4—3324no—
1571C2×C4—3324no—
1572C2×C4—3324no—
1573C2×C4—3324no—
1574C2×C4—832no—
1575C2×C4—832no—
1576C2×C4—1661no—
1577C2×C4—1661no—
1578C2×C4—1661no—
1579C2×C4—1661no—
1580C2×C4—1661no—
1581C2×C4—1661no—
1582C2×C4—1661no—
1583C2×C4—1661no—
1584C2×C4—1661no—
1585C2×C4—1661no—
1586C2×C4—1661no—
1587C2×C4—1661no—
1588C2×C4—1661no—
1589C2×C4—1661no—
1590C2×C4—1661no—
1591C2×C4—1661no—
1592C2×C4—1661no—
1593C2×C4—1661no—
1594C2×C4—1661no—
1595C2×C4—1661no—
1596C2×C4—1661no—
1597C2×C4—1661no—
1598C2×C4—1661no—
1599C2×C4—1661no—
1600C2×C4—1661no—
1601C2×C4—1661no—
1602C2×C4—1661no—
1603C2×C4—1661no—
1604C2×C4—1661no—
1605C2×C4—1661no—
1606C2×C4—1661no—
1607C2×C4—1661no—
1608C2×C4—1661no—
1609C2×C4—1661no—
1610C2×C4—1661no—
1611C2×C4—1661no—
1612C2×C4—1661no—
1613C2×C4—1668no—
1614C2×C4C22×C22⋊D8312yes—
1615C2×C4C22×C22⋊D8312yes—
1616C2×C4C22×C22⋊D8312yes—
1617C2×C4C22×C22⋊D8312yes—
1618C2×C4C22×C22⋊D8312yes—
1619C2×C4#41×D8312yes—
1620C2×C4#41×D8312yes—
1621C2×C4C2×#1305059012yes—
1622C2×C4C2×#1305059012yes—
1623C2×C4C2×#1305059012yes—
1624C2×C4#1458183812yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—33216no—
1646C22—3321no—
1647C22—3321no—
1648C22—3321no—
1649C22—3321no—
1650C22—3321no—
1651C22—3321no—
1652C22—3321no—
1653C22—3321no—
1654C22—3321no—
1655C22—3321no—
1656C22—3321no—
1657C22—3321no—
1658C22—3321no—
1659C22—3321no—
1660C22—3321no—
1661C22—1662no—
1662C22—1662no—
1663C22—1662no—
1664C22—1662no—
1665C22—1662no—
1666C22—1662no—
1667C22#1912821214yes—
1668C22C23×C22⋊D8311yescharacteristic
1669C22C2×#41×D8311yescharacteristic
1670C22C2×#41×D8311yescharacteristic
1671C22C22×#1305059011yescharacteristic
1672C22C22×#1305059011yescharacteristic
1673C22C2×#1458183811yescharacteristic
1674C22#1912853711yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—22no—
1682C4—22no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—3321no—
1687C4—3321no—
1688C4—3321no—
1689C4—3321no—
1690C4—3321no—
1691C4—3321no—
1692C4—3321no—
1693C4—3321no—
1694C4—3321no—
1695C4—3321no—
1696C4—3321no—
1697C4—1662no—
1698C4—1662no—
1699C4#1912833914yes—
1700C2—24no—
1701C2—42no—
1702C2—42no—
1703C2—3322no—
1704C2—3322no—
1705C2—6641no—
1706C2C2×#1912821211yescharacteristic
1707C2#2492075611yescharacteristic
1708C2#2492087911yescharacteristic
1709C2C2×#1912833911yescharacteristic
1710C2#41×C22⋊D8311yescharacteristic
1711C2#2492102511yescharacteristic
1712C2#2492107311yescharacteristic
subgroupG/H
centerC22×C4C23×D83
commutator, socle, cosocleC23×C83C25
FrattiniC23C24×D83
FittingC2×C4×#41×C83C2
hypercenterC2×C4×#41D83
hypocenterC83#34732
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C22×C4 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
1. C2×#19128210C2semidirect
2. #24911658C2semidirect
3. #24911643C2semidirect
4. #24911568C2semidirect
5. #24911553C2semidirect
6. #24911478C2semidirect
7. #24911463C2semidirect
8. #24911379C2semidirect
9. #24911364C2semidirect
10. #24911281C2semidirect
11. #24911207C2semidirect
12. #24911133C2semidirect
13. #24911067C2semidirect
14. #24910993C2semidirect
15. #24910919C2semidirect
16. #24910842C2semidirect
17. #24910778C2semidirect
18. #24910746C2semidirect
19. #24910733C2semidirect
20. #24910705C2semidirect
21. #24910678C2semidirect
22. C4×#14581775C2semidirect
23. C4×#14581775C2semidirect
24. C4×#14581766C2semidirect
25. C4×#14581764C2semidirect
26. C4×#14581760C2semidirect
27. #24909953C2semidirect
28. #24909908C2semidirect
29. #24909906C2semidirect
30. C2×C4×(C2×D83)⋊C4C2semidirect
31. C2×C4×#41×C83C2semidirect
53. C2×C4×C22⋊D83C22semidirect
54. C2×#14581751C22semidirect
59. #19127640C22semidirect
60. #19127640C22semidirect
61. #19127639C22semidirect
63. #19127634C22semidirect
64. #19127634C22semidirect
65. #19127634C22semidirect
66. #19127629C22semidirect
68. #19127627C22semidirect
69. #19127624C22semidirect
73. #19127621C22semidirect
74. #19127620C22semidirect
81. #19127616C22semidirect
82. #19127615C22semidirect
83. #19127613C22semidirect
86. #19127612C22semidirect
90. #19127609C22semidirect
91. #19127607C22semidirect
92. #19127607C22semidirect
96. #19127601C22semidirect
97. #19127599C22semidirect
98. #19127596C22semidirect
99. #19127595C22semidirect
100. #19127594C22semidirect
101. #19127594C22semidirect
107. #19127592C22semidirect
108. #19127592C22semidirect
109. #19127592C22semidirect
110. #19127591C22semidirect
111. #19127587C22semidirect
112. #19127587C22semidirect
113. #19127585C22semidirect
114. #19127585C22semidirect
115. #19127585C22semidirect
116. #19127585C22semidirect
117. #19127585C22semidirect
118. #19127585C22semidirect
130. #19127580C22semidirect
131. #19127580C22semidirect
132. #19127580C22semidirect
139. #19127574C22semidirect
140. #19127574C22semidirect
141. #19127574C22semidirect
146. #19127564C22semidirect
147. #19127561C22semidirect
150. C4×Dic83⋊C4C22semidirect
151. C4×Dic83⋊C4C22semidirect
152. C4×Dic83⋊C4C22semidirect
153. C4×C4⋊Dic83C22semidirect
164. C4×(C2×D83)⋊C4C22semidirect
165. C4×(C2×D83)⋊C4C22semidirect
166. C4×(C2×D83)⋊C4C22semidirect
168. C4×C22⋊Dic83C22semidirect
169. C4×C22⋊Dic83C22semidirect
170. #19127547C22semidirect
175. C2×C4×Q8×C83C22semidirect
176. C2×C4×Q8×C83C22semidirect
181. C2×C4×D4×C83C22semidirect
182. C2×C4×D4×C83C22semidirect
184. C2×#117×C83C22semidirect
185. C2×#117×C83C22semidirect
187. C22×C42×C83C22semidirect
188. C22×C42×C83C22semidirect
362. C4×D4×C83D4semidirect
469. C2×C4×D83#41semidirect
527. (C2×D83)⋊C4#41semidirect
550. C2×D4×C83#41semidirect
577. C22×C4×C83#41semidirect
858. C2×C4×#41D83semidirect
888. C83#34732semidirect
907. C2×C4×Q8C2×D83semidirect
908. C2×C4×Q8C2×D83semidirect
919. C2×C4×D4C2×D83semidirect
920. C2×C4×D4C2×D83semidirect
924. C2×#117C2×D83semidirect
925. C2×#117C2×D83semidirect
930. C22×C42C2×D83semidirect
931. C22×C42C2×D83semidirect
1113. C4×D4C22⋊D83semidirect
1304. C2×D4#13050590semidirect
1369. C22×C4#13050590semidirect

Maximal subgroups

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

subgroupindex
C2×#191282102
#249116582
#249116432
#249115682
#249115532
#249114782
#249114632
#249113792
#249113642
#249112812
#249112072
#249111332
#249110672
#249109932
#249109192
#249108422
#249107782
#249107462
#249107332
#249107052
#249106782
C4×#145817752
C4×#145817662
C4×#145817642
C4×#145817602
#249099532
#249099082
#249099062
C2×C4×(C2×D83)⋊C42
C2×C4×#41×C832
#3473283