Finite Group Databasebeta

← #35577073

Subgroups — #35577073

Order 21248.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128284C211yesmaximal, characteristic, complemented
2#24915778C211yesmaximal, characteristic, complemented
3#24915764C211yesmaximal, characteristic, complemented
4#24915755C211yesmaximal, characteristic, complemented
5#24915745C211yesmaximal, characteristic, complemented
6#24913358C211yesmaximal, characteristic, complemented
7#24913347C211yesmaximal, characteristic, complemented
8#24913315C211yesmaximal, characteristic, complemented
9#24913300C211yesmaximal, characteristic, complemented
10#24911718C211yesmaximal, characteristic, complemented
11#24911583C211yesmaximal, characteristic, complemented
12#24911508C211yesmaximal, characteristic, complemented
13#24911394C211yesmaximal, characteristic, complemented
14#24911355C211yesmaximal, characteristic, complemented
15#24911349C211yesmaximal, characteristic, complemented
16#24911281C211yesmaximal, characteristic, complemented
17#24911207C211yesmaximal, characteristic, complemented
18#24911198C211yesmaximal, characteristic, complemented
19#24911124C211yesmaximal, characteristic, complemented
20#24910999C211yesmaximal, characteristic, complemented
21#24910993C211yesmaximal, characteristic, complemented
22#24910919C211yesmaximal, characteristic, complemented
23#24910837C211yesmaximal, characteristic, complemented
24#24910831C211yesmaximal, characteristic, complemented
25#24910773C211yesmaximal, characteristic, complemented
26#24910161C211yesmaximal, characteristic, complemented
27#24910117C211yesmaximal, characteristic, complemented
28#24910096C211yesmaximal, characteristic, complemented
29C4×#14581761C211yesmaximal, characteristic, complemented
30C2×#19127580C211yesmaximal, characteristic, complemented
31C22×C4×D4×C83C211yesmaximal, characteristic, complemented
32C23×C22⋊D83C2211yescharacteristic
33#19128284—28no—
34C2×#14581787C2211yescharacteristic, complemented
35C2×#14581786C2211yescharacteristic, complemented
36C2×#14581780C2211yescharacteristic, complemented
37C2×#14581778C2211yescharacteristic, complemented
38C2×#14581777C2211yescharacteristic, complemented
39C2×#14581775C2211yescharacteristic, complemented
40C2×#14581775C2211yescharacteristic, complemented
41C2×#14581771C2211yescharacteristic, complemented
42C2×#14581769C2211yescharacteristic, complemented
43C2×#14581766C2211yescharacteristic
44C2×#14581766C2211yescharacteristic
45C2×#14581766C2211yescharacteristic, complemented
46C2×#14581766C2211yescharacteristic, complemented
47C2×#14581765C2211yescharacteristic, complemented
48C2×#14581764C2211yescharacteristic
49C2×#14581764C2211yescharacteristic
50C2×#14581762C2211yescharacteristic, complemented
51C2×#14581761C2211yescharacteristic
52C2×#14581761C2211yescharacteristic
53C2×#14581761C2211yescharacteristic
54C2×#14581761C2211yescharacteristic, complemented
55C2×#14581760C2211yescharacteristic
56C2×#14581760C2211yescharacteristic
57C2×C4×C22⋊D83C2211yescharacteristic, complemented
58C2×C4×C22⋊D83C2211yescharacteristic, complemented
59C2×C4×C22⋊D83C2211yescharacteristic, complemented
60C22×C22⋊Dic83C2211yescharacteristic
61C22×(C2×D83)⋊C4C2211yescharacteristic, complemented
62C22×(C2×D83)⋊C4C2211yescharacteristic, complemented
63#19127640C2211yescharacteristic, complemented
64#19127639C2211yescharacteristic, complemented
65#19127637C2211yescharacteristic, complemented
66#19127636C2211yescharacteristic, complemented
67#19127634C2211yescharacteristic, complemented
68#19127629C2211yescharacteristic, complemented
69#19127627C2211yescharacteristic, complemented
70#19127627C2211yescharacteristic, complemented
71#19127624C2211yescharacteristic, complemented
72#19127624C2211yescharacteristic, complemented
73#19127624C2211yescharacteristic, complemented
74#19127623C2211yescharacteristic, complemented
75#19127618C2211yescharacteristic, complemented
76#19127617C2211yescharacteristic, complemented
77#19127617C2211yescharacteristic, complemented
78#19127617C2211yescharacteristic, complemented
79#19127616C2211yescharacteristic, complemented
80#19127616C2211yescharacteristic, complemented
81#19127616C2211yescharacteristic, complemented
82#19127615C2211yescharacteristic, complemented
83#19127615C2211yescharacteristic, complemented
84#19127613C2211yescharacteristic, complemented
85#19127613C2211yescharacteristic, complemented
86#19127610C2211yescharacteristic, complemented
87#19127610C2211yescharacteristic, complemented
88#19127610C2211yescharacteristic, complemented
89#19127609C2211yescharacteristic
90#19127609C2211yescharacteristic
91#19127609C2211yescharacteristic
92#19127609C2211yescharacteristic
93#19127609C2211yescharacteristic, complemented
94#19127609C2211yescharacteristic, complemented
95#19127607C2211yescharacteristic, complemented
96#19127603C2211yescharacteristic, complemented
97#19127601C2211yescharacteristic, complemented
98#19127601C2211yescharacteristic, complemented
99#19127594C2211yescharacteristic, complemented
100#19127594C2211yescharacteristic, complemented
101#19127592C2211yescharacteristic, complemented
102#19127592C2211yescharacteristic, complemented
103#19127592C2211yescharacteristic, complemented
104#19127592C2211yescharacteristic, complemented
105#19127592C2211yescharacteristic, complemented
106#19127592C2211yescharacteristic, complemented
107#19127592C2211yescharacteristic, complemented
108#19127591C2211yescharacteristic, complemented
109#19127591C2211yescharacteristic, complemented
110#19127589C2211yescharacteristic, complemented
111#19127587C2211yescharacteristic, complemented
112#19127587C2211yescharacteristic, complemented
113#19127585C2211yescharacteristic, complemented
114#19127585C2211yescharacteristic, complemented
115#19127585C2211yescharacteristic, complemented
116#19127582C2211yescharacteristic, complemented
117#19127581C2211yescharacteristic
118#19127581C2211yescharacteristic
119#19127581C2211yescharacteristic
120#19127581C2211yescharacteristic
121#19127580C2211yescharacteristic
122#19127580C2211yescharacteristic
123#19127580C2211yescharacteristic
124#19127580C2211yescharacteristic
125#19127580C2211yescharacteristic
126#19127580C2211yescharacteristic
127#19127580C2211yescharacteristic
128#19127580C2211yescharacteristic
129#19127580C2211yescharacteristic, complemented
130#19127580C2211yescharacteristic, complemented
131#19127580C2211yescharacteristic, complemented
132#19127580C2211yescharacteristic, complemented
133#19127580C2211yescharacteristic, complemented
134#19127580C2211yescharacteristic, complemented
135#19127580C2211yescharacteristic, complemented
136#19127580C2211yescharacteristic, complemented
137#19127580C2211yescharacteristic, complemented
138#19127580C2211yescharacteristic, complemented
139#19127580C2211yescharacteristic, complemented
140#19127580C2211yescharacteristic, complemented
141#19127580C2211yescharacteristic, complemented
142#19127580C2211yescharacteristic, complemented
143#19127578C2211yescharacteristic, complemented
144#19127577C2211yescharacteristic, complemented
145#19127576C2211yescharacteristic, complemented
146#19127576C2211yescharacteristic, complemented
147#19127574C2211yescharacteristic, complemented
148#19127574C2211yescharacteristic, complemented
149#19127574C2211yescharacteristic, complemented
150#19127574C2211yescharacteristic, complemented
151#19127574C2211yescharacteristic, complemented
152#19127574C2211yescharacteristic, complemented
153#19127574C2211yescharacteristic, complemented
154#19127574C2211yescharacteristic, complemented
155#19127573C2211yescharacteristic, complemented
156#19127572C2211yescharacteristic, complemented
157#19127569C2211yescharacteristic, complemented
158#19127567C2211yescharacteristic, complemented
159#19127564C2211yescharacteristic, complemented
160#19127564C2211yescharacteristic, complemented
161#19127561C2211yescharacteristic, complemented
162#19127561C2211yescharacteristic, complemented
163#19127561C2211yescharacteristic, complemented
164#19127559C2211yescharacteristic, complemented
165#19127557C2211yescharacteristic
166#19127557C2211yescharacteristic, complemented
167#19127556C2211yescharacteristic, complemented
168C4×C22⋊Dic83C2211yescharacteristic, complemented
169C4×C22⋊Dic83C2211yescharacteristic, complemented
170C4×C22⋊Dic83C2211yescharacteristic, complemented
171C2×C83⋊#95C2211yescharacteristic, complemented
172C2×C83⋊#95C2211yescharacteristic, complemented
173C23×D4×C83C2211yescharacteristic
174C24×C4×C83C2211yescharacteristic
175C24×C4×C83C2211yescharacteristic, complemented
176C2×C4×D4×C83—28no—
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×C4×D4×C83C2211yescharacteristic, complemented
184C2×C4×D4×C83C2211yescharacteristic, complemented
185C22×C4⋊C4×C83C2211yescharacteristic, complemented
186C22×C22⋊C4×C83C2211yescharacteristic
187C22×C22⋊C4×C83C2211yescharacteristic, complemented
188C22×C42×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C22×Dic166C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×C22⋊D83—24no—
194C22×C22⋊D83—42no—
195C22×C22⋊D83—42no—
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C22×C22⋊D83C2311yescharacteristic
206C22×C22⋊D83C2311yescharacteristic
207C22×C22⋊D83C2311yescharacteristic
208C22×C22⋊D83C2311yescharacteristic
209C23×Dic83C2311yescharacteristic
210C23×Dic83C2311yescharacteristic
211C23×Dic83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213#14581787—24no—
214#14581786—24no—
215#14581780—24no—
216#14581778—24no—
217#14581777—24no—
218#14581775—24no—
219#14581775—42no—
220#14581771—42no—
221#14581769—24no—
222#14581766—24no—
223#14581766—42no—
224#14581766—42no—
225#14581766—42no—
226#14581765—24no—
227#14581764—24no—
228#14581764—24no—
229#14581762—24no—
230#14581761—24no—
231#14581761—42no—
232#14581761—42no—
233#14581761—42no—
234#14581760—24no—
235#14581760—24no—
236C4×C22⋊D83—24no—
237C4×C22⋊D83—42no—
238C4×C22⋊D83—42no—
239C2×C4⋊Dic83C2311yescharacteristic
240C2×C4⋊Dic83C2311yescharacteristic
241C2×C4⋊Dic83C2311yescharacteristic
242C2×C4⋊Dic83C2311yescharacteristic
243C2×C4⋊Dic83C2311yescharacteristic
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×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×C22⋊Dic83—42no—
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×C22⋊Dic83C2311yescharacteristic
273C2×C22⋊Dic83C2311yescharacteristic
274C2×C22⋊Dic83C2311yescharacteristic
275C2×C22⋊Dic83C2311yescharacteristic
276C2×C22⋊Dic83C2311yescharacteristic
277C2×C22⋊Dic83C2311yescharacteristic
278C2×C22⋊Dic83C2311yescharacteristic
279C2×(C2×D83)⋊C4—24no—
280C2×(C2×D83)⋊C4—42no—
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×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C2×(C2×D83)⋊C4C2311yescharacteristic
298C2×(C2×D83)⋊C4C2311yescharacteristic
299C2×(C2×D83)⋊C4C2311yescharacteristic
300C2×(C2×D83)⋊C4C2311yescharacteristic
301C2×(C2×D83)⋊C4C2311yescharacteristic
302C2×(C2×D83)⋊C4C2311yescharacteristic
303C2×(C2×D83)⋊C4C2311yescharacteristic
304C2×(C2×D83)⋊C4C2311yescharacteristic
305C2×(C2×D83)⋊C4C2311yescharacteristic
306C2×C4×Dic83C2311yescharacteristic
307C2×C4×Dic83C2311yescharacteristic
308C2×C4×Dic83C2311yescharacteristic
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
339C83⋊#95C2311yescharacteristic
340C83⋊#95C2311yescharacteristic
341C25×C83C2311yescharacteristic
342C25×C83C2311yescharacteristic
343C22×D4×C83—24no—
344C22×D4×C83—24no—
345C22×D4×C83—24no—
346C22×D4×C83C2311yescharacteristic
347C22×D4×C83C2311yescharacteristic
348C22×D4×C83C2311yescharacteristic
349C22×D4×C83C2311yescharacteristic
350C23×C4×C83—24no—
351C23×C4×C83—24no—
352C23×C4×C83—42no—
353C23×C4×C83—42no—
354C23×C4×C83—42no—
355C23×C4×C83—42no—
356C23×C4×C83C2311yescharacteristic
357C23×C4×C83C2311yescharacteristic
358C23×C4×C83C2311yescharacteristic
359C23×C4×C83C2311yescharacteristic
360C23×C4×C83C2311yescharacteristic
361C23×C4×C83C2311yescharacteristic
362C23×C4×C83C2311yescharacteristic
363C23×C4×C83C2311yescharacteristic
364C23×C4×C83C2311yescharacteristic
365C23×C4×C83C2311yescharacteristic
366C23×C4×C83C2311yescharacteristic
367C23×C4×C83C2311yescharacteristic
368C23×C4×C83C2311yescharacteristic
369C4×D4×C83—24no—
370C4×D4×C83—24no—
371C4×D4×C83—24no—
372C4×D4×C83—24no—
373C4×D4×C83—24no—
374C4×D4×C83—24no—
375C4×D4×C83—24no—
376C4×D4×C83D418yescomplemented
377C2×C4⋊C4×C83—24no—
378C2×C4⋊C4×C83C2311yescharacteristic
379C2×C4⋊C4×C83C2311yescharacteristic
380C2×C4⋊C4×C83C2311yescharacteristic
381C2×C4⋊C4×C83C2311yescharacteristic
382C2×C22⋊C4×C83—24no—
383C2×C22⋊C4×C83—24no—
384C2×C22⋊C4×C83C2311yescharacteristic
385C2×C22⋊C4×C83C2311yescharacteristic
386C2×C22⋊C4×C83C2311yescharacteristic
387C2×C22⋊C4×C83C2311yescharacteristic
388C2×C22⋊C4×C83C2311yescharacteristic
389C2×C22⋊C4×C83C2311yescharacteristic
390C2×C22⋊C4×C83C2311yescharacteristic
391C2×C22⋊C4×C83C2311yescharacteristic
392C2×C42×C83—24no—
393C2×C42×C83C2311yescharacteristic
394C2×C42×C83C2311yescharacteristic
395C2×C42×C83C2311yescharacteristic
396C2×C42×C83C2311yescharacteristic
397C23×D83—22no—
398C23×D83—22no—
399C23×D83—22no—
400C23×D83—41no—
401C23×D83—41no—
402C23×D83—41no—
403C23×D83—41no—
404C23×D83C2411yescharacteristic
405C23×D83C2411yescharacteristic
406C23×D83C2411yescharacteristic
407C2×Dic166—22no—
408C2×Dic166—41no—
409C2×Dic166—41no—
410C2×D332—22no—
411C2×D332—22no—
412C2×D332—41no—
413C2×D332—41no—
414C2×D332—41no—
415C2×D332—41no—
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—22no—
427C2×C22⋊D83—22no—
428C2×C22⋊D83—22no—
429C2×C22⋊D83—22no—
430C2×C22⋊D83—22no—
431C2×C22⋊D83—22no—
432C2×C22⋊D83—22no—
433C2×C22⋊D83—22no—
434C2×C22⋊D83—22no—
435C2×C22⋊D83—22no—
436C2×C22⋊D83—22no—
437C2×C22⋊D83—41no—
438C2×C22⋊D83—41no—
439C2×C22⋊D83—41no—
440C2×C22⋊D83—41no—
441C2×C22⋊D83—41no—
442C2×C22⋊D83—41no—
443C2×C22⋊D83—41no—
444C2×C22⋊D83—41no—
445C2×C22⋊D83—41no—
446C2×C22⋊D83—41no—
447C2×C22⋊D83—41no—
448C2×C22⋊D83—41no—
449C2×C22⋊D83—41no—
450C2×C22⋊D83—41no—
451C2×C22⋊D83—41no—
452C2×C22⋊D83—41no—
453C2×C22⋊D83—41no—
454C2×C22⋊D83—41no—
455C2×C22⋊D83—416no—
456C22×Dic83—22no—
457C22×Dic83—22no—
458C22×Dic83—22no—
459C22×Dic83—41no—
460C22×Dic83—41no—
461C22×Dic83—41no—
462C22×Dic83—41no—
463C22×Dic83—41no—
464C22×Dic83—41no—
465C22×Dic83C2411yescharacteristic
466C22×Dic83C2411yescharacteristic
467C22×Dic83C2411yescharacteristic
468C22×Dic83C2411yescharacteristic
469C22×Dic83C2411yescharacteristic
470C22×Dic83C2411yescharacteristic
471C22×Dic83C2411yescharacteristic
472C22×Dic83C2411yescharacteristic
473C22×Dic83C2411yescharacteristic
474C22×Dic83C2411yescharacteristic
475C22×Dic83C2411yescharacteristic
476C22×Dic83C2411yescharacteristic
477C22×Dic83C2411yescharacteristic
478C2×C4×D83—22no—
479C2×C4×D83—41no—
480C2×C4×D83—41no—
481C4⋊Dic83—22no—
482C4⋊Dic83—41no—
483C4⋊Dic83—41no—
484C4⋊Dic83—41no—
485C4⋊Dic83—41no—
486Dic83⋊C4—22no—
487Dic83⋊C4—22no—
488Dic83⋊C4—22no—
489Dic83⋊C4—22no—
490Dic83⋊C4—22no—
491Dic83⋊C4—22no—
492Dic83⋊C4—41no—
493Dic83⋊C4—41no—
494Dic83⋊C4—41no—
495Dic83⋊C4—41no—
496Dic83⋊C4—41no—
497C22⋊Dic83—22no—
498C22⋊Dic83—22no—
499C22⋊Dic83—22no—
500C22⋊Dic83—22no—
501C22⋊Dic83—22no—
502C22⋊Dic83—22no—
503C22⋊Dic83—22no—
504C22⋊Dic83—22no—
505C22⋊Dic83—22no—
506C22⋊Dic83—22no—
507C22⋊Dic83—22no—
508C22⋊Dic83—41no—
509C22⋊Dic83—41no—
510C22⋊Dic83—41no—
511C22⋊Dic83—41no—
512C22⋊Dic83—41no—
513C22⋊Dic83—41no—
514C22⋊Dic83—41no—
515C22⋊Dic83—41no—
516C22⋊Dic83—41no—
517C22⋊Dic83—41no—
518C22⋊Dic83—41no—
519C22⋊Dic83—41no—
520(C2×D83)⋊C4—22no—
521(C2×D83)⋊C4—22no—
522(C2×D83)⋊C4—22no—
523(C2×D83)⋊C4—22no—
524(C2×D83)⋊C4—22no—
525(C2×D83)⋊C4—22no—
526(C2×D83)⋊C4—22no—
527(C2×D83)⋊C4—22no—
528(C2×D83)⋊C4—22no—
529(C2×D83)⋊C4—22no—
530(C2×D83)⋊C4—22no—
531(C2×D83)⋊C4—22no—
532(C2×D83)⋊C4—22no—
533(C2×D83)⋊C4—22no—
534(C2×D83)⋊C4—22no—
535(C2×D83)⋊C4—22no—
536(C2×D83)⋊C4—41no—
537(C2×D83)⋊C4—41no—
538(C2×D83)⋊C4—41no—
539(C2×D83)⋊C4—41no—
540(C2×D83)⋊C4—41no—
541(C2×D83)⋊C4—41no—
542(C2×D83)⋊C4—41no—
543(C2×D83)⋊C4—41no—
544(C2×D83)⋊C4—41no—
545C4×Dic83—22no—
546C4×Dic83—41no—
547C4×Dic83—41no—
548C24×C83—22no—
549C24×C83—22no—
550C24×C83—22no—
551C24×C83—22no—
552C24×C83—22no—
553C24×C83—22no—
554C24×C83—22no—
555C24×C83—22no—
556C24×C83—22no—
557C24×C83—41no—
558C24×C83—41no—
559C24×C83—41no—
560C24×C83—41no—
561C24×C83#4114yes—
562C24×C83C2411yescharacteristic
563C24×C83C2411yescharacteristic
564C24×C83C2411yescharacteristic
565C24×C83C2411yescharacteristic
566C24×C83C2411yescharacteristic
567C2×D4×C83—232no—
568C2×D4×C83—22no—
569C2×D4×C83—22no—
570C2×D4×C83—22no—
571C2×D4×C83—22no—
572C2×D4×C83—22no—
573C2×D4×C83—22no—
574C2×D4×C83—22no—
575C2×D4×C83—22no—
576C2×D4×C83—22no—
577C2×D4×C83—22no—
578C2×D4×C83C2×D414yes—
579C2×D4×C83#4114yes—
580C22×C4×C83—22no—
581C22×C4×C83—22no—
582C22×C4×C83—22no—
583C22×C4×C83—22no—
584C22×C4×C83—22no—
585C22×C4×C83—22no—
586C22×C4×C83—22no—
587C22×C4×C83—22no—
588C22×C4×C83—22no—
589C22×C4×C83—22no—
590C22×C4×C83—22no—
591C22×C4×C83—22no—
592C22×C4×C83—22no—
593C22×C4×C83—22no—
594C22×C4×C83—22no—
595C22×C4×C83—22no—
596C22×C4×C83—22no—
597C22×C4×C83—22no—
598C22×C4×C83—22no—
599C22×C4×C83—22no—
600C22×C4×C83—22no—
601C22×C4×C83—22no—
602C22×C4×C83—41no—
603C22×C4×C83—41no—
604C22×C4×C83—41no—
605C22×C4×C83—41no—
606C22×C4×C83—41no—
607C22×C4×C83—41no—
608C22×C4×C83—41no—
609C22×C4×C83—41no—
610C22×C4×C83—41no—
611C22×C4×C83—41no—
612C22×C4×C83—41no—
613C22×C4×C83—41no—
614C22×C4×C83—41no—
615C22×C4×C83—41no—
616C22×C4×C83—41no—
617C22×C4×C83—416no—
618C22×C4×C83—416no—
619C22×C4×C83C2×D414yes—
620C22×C4×C83C2×D414yescomplemented
621C22×C4×C83C2411yescharacteristic
622C22×C4×C83C2411yescharacteristic
623C22×C4×C83C2411yescharacteristic
624C22×C4×C83C2411yescharacteristic
625C22×C4×C83C2411yescharacteristic
626C22×C4×C83C2411yescharacteristic
627C22×C4×C83C2411yescharacteristic
628C22×C4×C83C2411yescharacteristic
629C22×C4×C83C2411yescharacteristic
630C22×C4×C83C2411yescharacteristic
631C4⋊C4×C83—22no—
632C4⋊C4×C83—22no—
633C4⋊C4×C83—22no—
634C4⋊C4×C83C2×D414yescomplemented
635C22⋊C4×C83—22no—
636C22⋊C4×C83—22no—
637C22⋊C4×C83—22no—
638C22⋊C4×C83—22no—
639C22⋊C4×C83—22no—
640C22⋊C4×C83—22no—
641C22⋊C4×C83C2×D414yes—
642C22⋊C4×C83C2×D414yescomplemented
643C42×C83—22no—
644C42×C83—22no—
645C42×C83—22no—
646C42×C83C2×D414yescomplemented
647C23×C83—21no—
648C23×C83—21no—
649C23×C83—21no—
650C23×C83—21no—
651C23×C83—21no—
652C23×C83—21no—
653C23×C83—21no—
654C23×C83—21no—
655C23×C83—28no—
656C23×C83—28no—
657C23×C83—28no—
658C23×C83—21no—
659C23×C83—21no—
660C23×C83—21no—
661C23×C83—21no—
662C23×C83—21no—
663C23×C83—21no—
664C23×C83—21no—
665C23×C83—21no—
666C23×C83—21no—
667C23×C83—21no—
668C23×C83—21no—
669C23×C83—21no—
670C23×C83—21no—
671C23×C83—21no—
672C23×C83—21no—
673C23×C83—21no—
674C23×C83—21no—
675C23×C83—21no—
676C23×C83—44no—
677C23×C83—44no—
678C23×C83—44no—
679C23×C83—44no—
680C23×C83—44no—
681C23×C83—44no—
682C23×C83—44no—
683C23×C83—44no—
684C23×C83—44no—
685C23×C83—44no—
686C23×C83—44no—
687C23×C83C22×D412yes—
688C23×C83C22×D412yes—
689C23×C83C2×#4112yes—
690C23×C83C2×#4112yes—
691C23×C83C2×#4112yes—
692C23×C83C2×#4112yes—
693C23×C83C2×#4112yes—
694C23×C83H(5,𝔽2)12yes—
695C23×C83H(5,𝔽2)12yes—
696C23×C83C2511yescharacteristic
697C22×D83—21no—
698C22×D83—21no—
699C22×D83—21no—
700C22×D83—21no—
701C22×D83—21no—
702C22×D83—21no—
703C22×D83—21no—
704C22×D83—21no—
705C22×D83—21no—
706C22×D83—21no—
707C22×D83—21no—
708C22×D83—21no—
709C22×D83—21no—
710C22×D83—21no—
711C22×D83—21no—
712C22×D83—21no—
713C22×D83—21no—
714C22×D83—21no—
715C22×D83—21no—
716C22×D83—21no—
717C22×D83—21no—
718C22×D83—44no—
719C22×D83—44no—
720C22×D83—44no—
721C22×D83—82no—
722C22×D83—82no—
723C22×D83—82no—
724C22×D83—82no—
725D4×C83—28no—
726D4×C83—28no—
727D4×C83—28no—
728D4×C83—28no—
729C2×C4×C83—28no—
730C2×C4×C83—28no—
731C2×C4×C83—21no—
732C2×C4×C83—21no—
733C2×C4×C83—21no—
734C2×C4×C83—21no—
735C2×C4×C83—21no—
736C2×C4×C83—21no—
737C2×C4×C83—21no—
738C2×C4×C83—21no—
739C2×C4×C83—21no—
740C2×C4×C83—21no—
741C2×C4×C83—21no—
742C2×C4×C83—21no—
743C2×C4×C83—21no—
744C2×C4×C83—21no—
745C2×C4×C83—21no—
746C2×C4×C83—21no—
747C2×C4×C83—21no—
748C2×C4×C83—21no—
749C2×C4×C83—21no—
750C2×C4×C83—21no—
751C2×C4×C83—21no—
752C2×C4×C83—21no—
753C2×C4×C83—21no—
754C2×C4×C83—44no—
755C2×C4×C83—44no—
756C2×C4×C83—44no—
757C2×C4×C83—44no—
758C2×C4×C83—44no—
759C2×C4×C83—44no—
760C2×C4×C83—44no—
761C2×C4×C83—44no—
762C2×C4×C83—44no—
763C2×C4×C83—44no—
764C2×C4×C83—44no—
765C2×C4×C83C22×D412yes—
766C2×C4×C83C22×D412yes—
767C2×C4×C83C22×D412yes—
768C2×C4×C83C22×D412yes—
769C2×C4×C83C22×D412yes—
770C2×C4×C83C2×#4112yes—
771C2×C4×C83H(5,𝔽2)12yes—
772C22⋊D83—44no—
773C22⋊D83—44no—
774C22⋊D83—44no—
775C22⋊D83—44no—
776C22⋊D83—44no—
777C22⋊D83—44no—
778C22⋊D83—44no—
779C22⋊D83—82no—
780C22⋊D83—82no—
781C22⋊D83—82no—
782C22⋊D83—82no—
783C22⋊D83—82no—
784C22⋊D83—82no—
785C2×Dic83—21no—
786C2×Dic83—21no—
787C2×Dic83—21no—
788C2×Dic83—21no—
789C2×Dic83—21no—
790C2×Dic83—21no—
791C2×Dic83—21no—
792C2×Dic83—21no—
793C2×Dic83—21no—
794C2×Dic83—21no—
795C2×Dic83—21no—
796C2×Dic83—21no—
797C2×Dic83—21no—
798C2×Dic83—21no—
799C2×Dic83—21no—
800C2×Dic83—21no—
801C2×Dic83—21no—
802C2×Dic83—21no—
803C2×Dic83—21no—
804C2×Dic83—21no—
805C2×Dic83—21no—
806C2×Dic83—21no—
807C2×Dic83—21no—
808C2×Dic83—21no—
809C2×Dic83—21no—
810C2×Dic83—21no—
811C2×Dic83—21no—
812C2×Dic83—21no—
813C2×Dic83—21no—
814C2×Dic83—21no—
815C2×Dic83—21no—
816C2×Dic83—21no—
817C2×Dic83—21no—
818C2×Dic83—21no—
819C2×Dic83—21no—
820C2×Dic83—21no—
821C2×Dic83—21no—
822C2×Dic83—21no—
823C2×Dic83—21no—
824C2×Dic83—44no—
825C2×Dic83—82no—
826C2×Dic83—82no—
827D332—82no—
828D332—82no—
829C4×D83—82no—
830Dic166—82no—
831C22×C83—22no—
832C22×C83—22no—
833C22×C83—22no—
834C22×C83—22no—
835C22×C83—22no—
836C22×C83—22no—
837C22×C83—22no—
838C22×C83—22no—
839C22×C83—22no—
840C22×C83—22no—
841C22×C83—22no—
842C22×C83—22no—
843C22×C83—22no—
844C22×C83—22no—
845C22×C83—22no—
846C22×C83—22no—
847C22×C83—22no—
848C22×C83—22no—
849C22×C83—22no—
850C22×C83—22no—
851C22×C83—22no—
852C22×C83—416no—
853C22×C83—416no—
854C22×C83—41no—
855C22×C83—41no—
856C22×C83—41no—
857C22×C83—41no—
858C22×C83—41no—
859C22×C83—41no—
860C22×C83—41no—
861C22×C83—41no—
862C22×C83—41no—
863C22×C83—41no—
864C22×C83—41no—
865C22×C83—41no—
866C22×C83#52514yes—
867C22×C83#53814yescomplemented
868C22×C83C23×D411yescharacteristic
869C22×C83C22×#4111yescharacteristic
870C22×C83C22×#4111yescharacteristic
871C22×C83C2×H(5,𝔽2)11yescharacteristic
872C22×C83C2×H(5,𝔽2)11yescharacteristic
873C22×C83C2×H(5,𝔽2)11yescharacteristic
874C22×C83#58511yescharacteristic
875C2×D83—41no—
876C2×D83—41no—
877C2×D83—41no—
878C2×D83—41no—
879C2×D83—41no—
880C2×D83—41no—
881C2×D83—41no—
882C2×D83—41no—
883C2×D83—41no—
884C2×D83—41no—
885C2×D83—41no—
886C2×D83—41no—
887C2×D83—41no—
888C2×D83—41no—
889C2×D83—41no—
890C2×D83—41no—
891C2×D83—41no—
892C2×D83—41no—
893C2×D83—41no—
894C2×D83—41no—
895C2×D83—41no—
896C2×D83—88no—
897C4×C83—22no—
898C4×C83—22no—
899C4×C83—22no—
900C4×C83—22no—
901C4×C83—22no—
902C4×C83—22no—
903C4×C83—22no—
904C4×C83—41no—
905C4×C83—41no—
906C4×C83—41no—
907Dic83—41no—
908Dic83—41no—
909Dic83—41no—
910Dic83—41no—
911Dic83—41no—
912Dic83—41no—
913Dic83—41no—
914Dic83—41no—
915Dic83—41no—
916Dic83—41no—
917Dic83—41no—
918Dic83—41no—
919Dic83—41no—
920#34990—831nomaximal, Sylow
921C2×C83—24no—
922C2×C83—24no—
923C2×C83—42no—
924C2×C83—42no—
925C2×C83—42no—
926C2×C83C2×#52511yescharacteristic
927C2×C83C2×#53811yescharacteristic
928C2×C83#345911yescharacteristic
929C2×C83#348411yescharacteristic
930C2×C83#348811yescharacteristic
931C2×C83#351311yescharacteristic
932C2×C83#351911yescharacteristic
933D83—81no—
934D83—81no—
935D83—81no—
936C2×#538—831no—
937C22×C4×D4D8311yescharacteristic, complemented
938#2852—831no—
939#2850—831no—
940#2849—831no—
941#2847—831no—
942#2636—831no—
943#2635—831no—
944#2631—831no—
945#2630—831no—
946#2481—831no—
947#2472—831no—
948#2467—831no—
949#2459—831no—
950#2456—831no—
951#2456—831no—
952#2450—831no—
953#2444—831no—
954#2443—831no—
955#2437—831no—
956#2424—831no—
957#2424—831no—
958#2418—831no—
959#2410—831no—
960#2410—831no—
961#2403—831no—
962#2325—831no—
963#2321—831no—
964#2318—831no—
965C4×#120—831no—
966C2×#386—831no—
967C83#3499011yescharacteristic, complemented, Sylow
968C23×D4—831no—
969C23×D4C2×D8311yescharacteristic
970C24×C4C2×D8311yescharacteristic
971C24×C4C2×D8311yescharacteristic, complemented
972#538—1668no—
973C2×#126—831no—
974C2×#126—831no—
975C2×#124—831no—
976C2×#124—831no—
977C2×#123—831no—
978C2×#123—831no—
979C2×#123—831no—
980C2×C22⋊Q8—831no—
981C2×C22⋊Q8—831no—
982C2×#121—831no—
983C2×#121—831no—
984C2×#121—831no—
985C2×#121—831no—
986C2×#121—831no—
987C2×#121—831no—
988C2×#121—831no—
989C2×#120—831no—
990C2×#120—831no—
991C2×#120—831no—
992C2×#120—831no—
993C2×#120—831no—
994C2×#120—831no—
995C2×#120—831no—
996C2×C4×D4—28no—
997C2×C4×D4—831no—
998C2×C4×D4—831no—
999C2×C4×D4—831no—
1000C2×C4×D4C2×D8311yescharacteristic
1001C2×C4×D4C2×D8311yescharacteristic
1002C2×C4×D4C2×D8311yescharacteristic
1003C2×C4×D4C2×D8311yescharacteristic
1004C2×C4×D4C2×D8311yescharacteristic, complemented
1005C2×C4×D4C2×D8311yescharacteristic, complemented
1006C2×C4×D4C2×D8311yescharacteristic, complemented
1007C2×C4×D4C2×D8311yescharacteristic, complemented
1008C22×C4⋊C4C2×D8311yescharacteristic, complemented
1009C22×C22⋊C4—831no—
1010C22×C22⋊C4—831no—
1011C22×C22⋊C4—831no—
1012C22×C22⋊C4C2×D8311yescharacteristic
1013C22×C22⋊C4C2×D8311yescharacteristic, complemented
1014C22×C42C2×D8311yescharacteristic, complemented
1015#400—831no—
1016#400—831no—
1017#399—831no—
1018#399—831no—
1019#398—831no—
1020#397—831no—
1021#397—831no—
1022#397—831no—
1023#396—831no—
1024#396—831no—
1025#396—831no—
1026#396—831no—
1027#394—831no—
1028#394—831no—
1029#394—831no—
1030#394—831no—
1031#394—831no—
1032#394—831no—
1033#394—831no—
1034#394—831no—
1035#394—831no—
1036#393—831no—
1037#393—831no—
1038#392—831no—
1039#392—831no—
1040#392—831no—
1041#392—831no—
1042#392—831no—
1043#392—831no—
1044#392—831no—
1045#392—831no—
1046#392—831no—
1047#391—831no—
1048#390—831no—
1049#390—831no—
1050#390—831no—
1051#388—831no—
1052#388—831no—
1053#388—831no—
1054#388—831no—
1055#388—831no—
1056#388—831no—
1057#388—831no—
1058#388—831no—
1059#388—831no—
1060#388—831no—
1061#388—831no—
1062#388—831no—
1063#387—831no—
1064#387—831no—
1065#387—831no—
1066#387—831no—
1067#387—831no—
1068#387—831no—
1069#386—831no—
1070#386—831no—
1071#386—831no—
1072#386—831no—
1073#386—831no—
1074#386—831no—
1075#386—831no—
1076#386—831no—
1077#386—831no—
1078#386—831no—
1079#386—831no—
1080#386—831no—
1081#386—831no—
1082#386—831no—
1083#386—831no—
1084#386—831no—
1085#386—831no—
1086#386—831no—
1087#386—831no—
1088#386—831no—
1089#386—831no—
1090#386—831no—
1091#386—831no—
1092#386—831no—
1093#386—831no—
1094#386—831no—
1095#386—831no—
1096#386—831no—
1097#385—831no—
1098#385—831no—
1099#385—831no—
1100#385—831no—
1101#385—831no—
1102#385—831no—
1103#385—831no—
1104#385—831no—
1105#385—831no—
1106#385—831no—
1107#385—831no—
1108#385—831no—
1109#383—831no—
1110#382—831no—
1111#381—831no—
1112#381—831no—
1113#380—831no—
1114#380—831no—
1115#380—831no—
1116#380—831no—
1117#379—831no—
1118#379—831no—
1119#379—831no—
1120C4×C22⋊C4—831no—
1121C4×C22⋊C4—831no—
1122C4×C22⋊C4—831no—
1123C2×#95—831no—
1124C2×#95—831no—
1125C25—831no—
1126C25C22×D8311yescharacteristic
1127C25C22×D8311yescharacteristic
1128C22×Q8—831no—
1129C22×D4—24no—
1130C22×D4—24no—
1131C22×D4—24no—
1132C22×D4—3322no—
1133C22×D4—3322no—
1134C22×D4—831no—
1135C22×D4—831no—
1136C22×D4—831no—
1137C22×D4—831no—
1138C22×D4—831no—
1139C22×D4—831no—
1140C22×D4—831no—
1141C22×D4—831no—
1142C22×D4—831no—
1143C22×D4—831no—
1144C22×D4—831no—
1145C22×D4—831no—
1146C22×D4—831no—
1147C22×D4—831no—
1148C22×D4—831no—
1149C22×D4—1664no—
1150C22×D4C22×D8311yescharacteristic
1151C22×D4C22×D8311yescharacteristic
1152C22×D4C22×D8311yescharacteristic
1153C22×D4C22×D8311yescharacteristic
1154C23×C4—24no—
1155C23×C4—24no—
1156C23×C4—42no—
1157C23×C4—42no—
1158C23×C4—42no—
1159C23×C4—42no—
1160C23×C4—831no—
1161C23×C4—831no—
1162C23×C4—831no—
1163C23×C4—831no—
1164C23×C4C22×D8311yescharacteristic
1165C23×C4C22×D8311yescharacteristic
1166C23×C4C22×D8311yescharacteristic
1167C23×C4C22×D8311yescharacteristic
1168C23×C4C22×D8311yescharacteristic
1169C23×C4C22×D8311yescharacteristic
1170C23×C4C22×D8311yescharacteristic
1171C23×C4C22×D8311yescharacteristic
1172C23×C4C22×D8311yescharacteristic
1173C23×C4C22×D8311yescharacteristic
1174C23×C4C22×D8311yescharacteristic
1175C23×C4C22×D8311yescharacteristic
1176C23×C4C22×D8311yescharacteristic
1177#126—1664no—
1178#126—1664no—
1179#124—1664no—
1180#124—1664no—
1181#123—3322no—
1182#123—1664no—
1183#123—1664no—
1184C22⋊Q8—3322no—
1185C22⋊Q8—1664no—
1186#121—3322no—
1187#121—3322no—
1188#121—3322no—
1189#121—1664no—
1190#121—1664no—
1191#121—1664no—
1192#121—1664no—
1193#120—3322no—
1194#120—3322no—
1195#120—3322no—
1196#120—1664no—
1197#120—1664no—
1198#120—1664no—
1199#120—1664no—
1200C4×D4—24no—
1201C4×D4—24no—
1202C4×D4—24no—
1203C4×D4—24no—
1204C4×D4—24no—
1205C4×D4—24no—
1206C4×D4—24no—
1207C4×D4—3322no—
1208C4×D4—3322no—
1209C4×D4—1664no—
1210C4×D4C22⋊D8318yescomplemented
1211C2×C4⋊C4—24no—
1212C2×C4⋊C4—831no—
1213C2×C4⋊C4—831no—
1214C2×C4⋊C4—831no—
1215C2×C4⋊C4—831no—
1216C2×C4⋊C4—831no—
1217C2×C4⋊C4—831no—
1218C2×C4⋊C4—831no—
1219C2×C4⋊C4—831no—
1220C2×C4⋊C4—831no—
1221C2×C4⋊C4—831no—
1222C2×C4⋊C4—831no—
1223C2×C4⋊C4—831no—
1224C2×C4⋊C4—831no—
1225C2×C4⋊C4—831no—
1226C2×C4⋊C4—831no—
1227C2×C4⋊C4—831no—
1228C2×C4⋊C4C22×D8311yescharacteristic
1229C2×C4⋊C4C22×D8311yescharacteristic
1230C2×C4⋊C4C22×D8311yescharacteristic
1231C2×C4⋊C4C22×D8311yescharacteristic
1232C2×C22⋊C4—24no—
1233C2×C22⋊C4—24no—
1234C2×C22⋊C4—3322no—
1235C2×C22⋊C4—3322no—
1236C2×C22⋊C4—831no—
1237C2×C22⋊C4—831no—
1238C2×C22⋊C4—831no—
1239C2×C22⋊C4—831no—
1240C2×C22⋊C4—831no—
1241C2×C22⋊C4—831no—
1242C2×C22⋊C4—831no—
1243C2×C22⋊C4—831no—
1244C2×C22⋊C4—831no—
1245C2×C22⋊C4—831no—
1246C2×C22⋊C4—831no—
1247C2×C22⋊C4—831no—
1248C2×C22⋊C4—831no—
1249C2×C22⋊C4—831no—
1250C2×C22⋊C4—831no—
1251C2×C22⋊C4—831no—
1252C2×C22⋊C4—831no—
1253C2×C22⋊C4—831no—
1254C2×C22⋊C4—831no—
1255C2×C22⋊C4—831no—
1256C2×C22⋊C4—831no—
1257C2×C22⋊C4—831no—
1258C2×C22⋊C4—831no—
1259C2×C22⋊C4—831no—
1260C2×C22⋊C4—831no—
1261C2×C22⋊C4—831no—
1262C2×C22⋊C4—831no—
1263C2×C22⋊C4—831no—
1264C2×C22⋊C4—831no—
1265C2×C22⋊C4—831no—
1266C2×C22⋊C4—831no—
1267C2×C22⋊C4—831no—
1268C2×C22⋊C4—831no—
1269C2×C22⋊C4—831no—
1270C2×C22⋊C4—831no—
1271C2×C22⋊C4—831no—
1272C2×C22⋊C4—831no—
1273C2×C22⋊C4—831no—
1274C2×C22⋊C4—831no—
1275C2×C22⋊C4—831no—
1276C2×C22⋊C4—831no—
1277C2×C22⋊C4—831no—
1278C2×C22⋊C4—831no—
1279C2×C22⋊C4—831no—
1280C2×C22⋊C4—831no—
1281C2×C22⋊C4—831no—
1282C2×C22⋊C4—831no—
1283C2×C22⋊C4—831no—
1284C2×C22⋊C4—1664no—
1285C2×C22⋊C4C22×D8311yescharacteristic
1286C2×C22⋊C4C22×D8311yescharacteristic
1287C2×C22⋊C4C22×D8311yescharacteristic
1288C2×C22⋊C4C22×D8311yescharacteristic
1289C2×C22⋊C4C22×D8311yescharacteristic
1290C2×C22⋊C4C22×D8311yescharacteristic
1291C2×C22⋊C4C22×D8311yescharacteristic
1292C2×C22⋊C4C22×D8311yescharacteristic
1293C2×C42—24no—
1294C2×C42—831no—
1295C2×C42—831no—
1296C2×C42—831no—
1297C2×C42C22×D8311yescharacteristic
1298C2×C42C22×D8311yescharacteristic
1299C2×C42C22×D8311yescharacteristic
1300C2×C42C22×D8311yescharacteristic
1301#95—831no—
1302#95—831no—
1303#95—831no—
1304#95—831no—
1305#95—831no—
1306#95—831no—
1307#95—831no—
1308#95—831no—
1309#95—831no—
1310#95—831no—
1311#95—831no—
1312#95—831no—
1313#95—831no—
1314#95—831no—
1315#95—831no—
1316#95—831no—
1317#95—831no—
1318#95—831no—
1319#95—831no—
1320#95—831no—
1321#95—831no—
1322#95—831no—
1323#95—831no—
1324#95—831no—
1325#95—831no—
1326#95—831no—
1327#95—831no—
1328#95—831no—
1329#95—831no—
1330#95—831no—
1331#95—831no—
1332#95—831no—
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—22no—
1341C24—22no—
1342C24—41no—
1343C24—41no—
1344C24—41no—
1345C24—41no—
1346C24—3321no—
1347C24—3321no—
1348C24—3321no—
1349C24—3321no—
1350C24—831no—
1351C24—831no—
1352C24—831no—
1353C24—1662no—
1354C24—1662no—
1355C24—1662no—
1356C24#1305059014yes—
1357C24C23×D8311yescharacteristic
1358C24C23×D8311yescharacteristic
1359C24C23×D8311yescharacteristic
1360C24C23×D8311yescharacteristic
1361C24C23×D8311yescharacteristic
1362C2×Q8—3321no—
1363C2×Q8—3321no—
1364C2×Q8—1662no—
1365C2×D4—232no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—3321no—
1377C2×D4—3321no—
1378C2×D4—3321no—
1379C2×D4—3321no—
1380C2×D4—33216no—
1381C2×D4—3321no—
1382C2×D4—3321no—
1383C2×D4—3321no—
1384C2×D4—3321no—
1385C2×D4—3321no—
1386C2×D4—3321no—
1387C2×D4—3321no—
1388C2×D4—3321no—
1389C2×D4—3321no—
1390C2×D4—3321no—
1391C2×D4—3321no—
1392C2×D4—3321no—
1393C2×D4—3321no—
1394C2×D4—3321no—
1395C2×D4—3321no—
1396C2×D4—3321no—
1397C2×D4—3321no—
1398C2×D4—3321no—
1399C2×D4—1662no—
1400C2×D4—1662no—
1401C2×D4—1662no—
1402C2×D4—1662no—
1403C2×D4—1662no—
1404C2×D4—1662no—
1405C2×D4—1662no—
1406C2×D4—1662no—
1407C2×D4—1662no—
1408C2×D4—1662no—
1409C2×D4—1662no—
1410C2×D4—1662no—
1411C2×D4—1662no—
1412C2×D4—1662no—
1413C2×D4—1662no—
1414C2×D4—1662no—
1415C2×D4—1662no—
1416C2×D4—1662no—
1417C2×D4—1662no—
1418C2×D4—1662no—
1419C2×D4—1662no—
1420C2×D4—1662no—
1421C2×D4—1662no—
1422C2×D4C2×C22⋊D8314yes—
1423C2×D4#1305059014yes—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—41no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—41no—
1451C22×C4—41no—
1452C22×C4—41no—
1453C22×C4—41no—
1454C22×C4—41no—
1455C22×C4—41no—
1456C22×C4—41no—
1457C22×C4—41no—
1458C22×C4—41no—
1459C22×C4—41no—
1460C22×C4—41no—
1461C22×C4—416no—
1462C22×C4—416no—
1463C22×C4—3321no—
1464C22×C4—3321no—
1465C22×C4—3321no—
1466C22×C4—3321no—
1467C22×C4—3321no—
1468C22×C4—3321no—
1469C22×C4—3321no—
1470C22×C4—3321no—
1471C22×C4—831no—
1472C22×C4—831no—
1473C22×C4—831no—
1474C22×C4—831no—
1475C22×C4—831no—
1476C22×C4—831no—
1477C22×C4—831no—
1478C22×C4—831no—
1479C22×C4—831no—
1480C22×C4—831no—
1481C22×C4—831no—
1482C22×C4—831no—
1483C22×C4—831no—
1484C22×C4—1662no—
1485C22×C4—1662no—
1486C22×C4—1662no—
1487C22×C4—1662no—
1488C22×C4C2×C22⋊D8314yes—
1489C22×C4C2×C22⋊D8314yescomplemented
1490C22×C4C23×D8311yescharacteristic
1491C22×C4C23×D8311yescharacteristic
1492C22×C4C23×D8311yescharacteristic
1493C22×C4C23×D8311yescharacteristic
1494C22×C4C23×D8311yescharacteristic
1495C22×C4C23×D8311yescharacteristic
1496C22×C4C23×D8311yescharacteristic
1497C22×C4C23×D8311yescharacteristic
1498C22×C4C23×D8311yescharacteristic
1499C22×C4C23×D8311yescharacteristic
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—3321no—
1504C4⋊C4—3321no—
1505C4⋊C4—3321no—
1506C4⋊C4—3321no—
1507C4⋊C4—3321no—
1508C4⋊C4—3321no—
1509C4⋊C4—3321no—
1510C4⋊C4—3321no—
1511C4⋊C4—3321no—
1512C4⋊C4—1662no—
1513C4⋊C4—1662no—
1514C4⋊C4—1662no—
1515C4⋊C4—1662no—
1516C4⋊C4—1662no—
1517C4⋊C4—1662no—
1518C4⋊C4—1662no—
1519C4⋊C4C2×C22⋊D8314yescomplemented
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—3321no—
1527C22⋊C4—3321no—
1528C22⋊C4—3321no—
1529C22⋊C4—3321no—
1530C22⋊C4—3321no—
1531C22⋊C4—3321no—
1532C22⋊C4—3321no—
1533C22⋊C4—3321no—
1534C22⋊C4—3321no—
1535C22⋊C4—3321no—
1536C22⋊C4—3321no—
1537C22⋊C4—3321no—
1538C22⋊C4—3321no—
1539C22⋊C4—3321no—
1540C22⋊C4—3321no—
1541C22⋊C4—3321no—
1542C22⋊C4—3321no—
1543C22⋊C4—3321no—
1544C22⋊C4—3321no—
1545C22⋊C4—3321no—
1546C22⋊C4—3321no—
1547C22⋊C4—1662no—
1548C22⋊C4—1662no—
1549C22⋊C4—1662no—
1550C22⋊C4—1662no—
1551C22⋊C4—1662no—
1552C22⋊C4—1662no—
1553C22⋊C4—1662no—
1554C22⋊C4—1662no—
1555C22⋊C4—1662no—
1556C22⋊C4—1662no—
1557C22⋊C4—1662no—
1558C22⋊C4—1662no—
1559C22⋊C4—1662no—
1560C22⋊C4—1662no—
1561C22⋊C4—1662no—
1562C22⋊C4—1662no—
1563C22⋊C4—1662no—
1564C22⋊C4—1662no—
1565C22⋊C4—1662no—
1566C22⋊C4—1662no—
1567C22⋊C4—1662no—
1568C22⋊C4—1662no—
1569C22⋊C4—1662no—
1570C22⋊C4—1662no—
1571C22⋊C4—1662no—
1572C22⋊C4—1662no—
1573C22⋊C4—1662no—
1574C22⋊C4C2×C22⋊D8314yes—
1575C22⋊C4C2×C22⋊D8314yescomplemented
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—3321no—
1580C42—3321no—
1581C42—1662no—
1582C42C2×C22⋊D8314yescomplemented
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—28no—
1592C23—28no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—28no—
1612C23—44no—
1613C23—44no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—44no—
1621C23—44no—
1622C23—44no—
1623C23—3324no—
1624C23—3324no—
1625C23—3324no—
1626C23—6642no—
1627C23—6642no—
1628C23—6642no—
1629C23—6642no—
1630C23—1661no—
1631C23—1661no—
1632C23—1661no—
1633C23—1661no—
1634C23—1661no—
1635C23—1661no—
1636C23—1661no—
1637C23—1661no—
1638C23—1661no—
1639C23—1661no—
1640C23—1661no—
1641C23—1661no—
1642C23—1661no—
1643C23—1661no—
1644C23—1661no—
1645C23—1661no—
1646C23—1661no—
1647C23—1661no—
1648C23—1661no—
1649C23—1661no—
1650C23—1661no—
1651C23C22×C22⋊D8312yes—
1652C23C22×C22⋊D8312yes—
1653C23C2×#1305059012yes—
1654C23C2×#1305059012yes—
1655C23C2×#1305059012yes—
1656C23C2×#1305059012yes—
1657C23C2×#1305059012yes—
1658C23#1458183712yes—
1659C23#1458183812yes—
1660C23C24×D8311yescharacteristic
1661Q8—6642no—
1662D4—28no—
1663D4—28no—
1664D4—28no—
1665D4—28no—
1666D4—3324no—
1667D4—3324no—
1668D4—3324no—
1669D4—3324no—
1670D4—3324no—
1671D4—3324no—
1672D4—3324no—
1673D4—6642no—
1674D4—6642no—
1675D4—6642no—
1676D4—6642no—
1677D4—6642no—
1678D4—6642no—
1679D4—6642no—
1680D4—6642no—
1681C2×C4—28no—
1682C2×C4—28no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—3324no—
1718C2×C4—6642no—
1719C2×C4—6642no—
1720C2×C4—6642no—
1721C2×C4—1661no—
1722C2×C4—1661no—
1723C2×C4—1661no—
1724C2×C4—1661no—
1725C2×C4—1661no—
1726C2×C4—1661no—
1727C2×C4—1661no—
1728C2×C4—1661no—
1729C2×C4—1661no—
1730C2×C4—1661no—
1731C2×C4—1661no—
1732C2×C4—1661no—
1733C2×C4—1661no—
1734C2×C4—1661no—
1735C2×C4—1661no—
1736C2×C4—1661no—
1737C2×C4—1661no—
1738C2×C4—1661no—
1739C2×C4—1661no—
1740C2×C4—1661no—
1741C2×C4—1661no—
1742C2×C4—1661no—
1743C2×C4—1661no—
1744C2×C4—1661no—
1745C2×C4—1661no—
1746C2×C4—1661no—
1747C2×C4—1661no—
1748C2×C4—1661no—
1749C2×C4—1661no—
1750C2×C4—1661no—
1751C2×C4—1661no—
1752C2×C4—1661no—
1753C2×C4—1661no—
1754C2×C4—1661no—
1755C2×C4—1661no—
1756C2×C4—1661no—
1757C2×C4—1661no—
1758C2×C4—1661no—
1759C2×C4—1661no—
1760C2×C4C22×C22⋊D8312yes—
1761C2×C4C22×C22⋊D8312yes—
1762C2×C4C22×C22⋊D8312yes—
1763C2×C4C22×C22⋊D8312yes—
1764C2×C4C22×C22⋊D8312yes—
1765C2×C4C2×#1305059012yes—
1766C2×C4#1458183712yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—416no—
1789C22—416no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—3321no—
1803C22—3321no—
1804C22—3321no—
1805C22—3321no—
1806C22—3321no—
1807C22—3321no—
1808C22—3321no—
1809C22—3321no—
1810C22—3321no—
1811C22—3321no—
1812C22—3321no—
1813C22—3321no—
1814C22—3321no—
1815C22—3321no—
1816C22—3321no—
1817C22—3321no—
1818C22—3321no—
1819C22—3321no—
1820C22—3321no—
1821C22—3321no—
1822C22—3321no—
1823C22—6648no—
1824C22#1912821214yes—
1825C22#1912828414yescomplemented
1826C22C23×C22⋊D8311yescharacteristic
1827C22C22×#1305059011yescharacteristic
1828C22C22×#1305059011yescharacteristic
1829C22C2×#1458183711yescharacteristic
1830C22C2×#1458183711yescharacteristic
1831C22C2×#1458183811yescharacteristic
1832C22#1912853711yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—3321no—
1844C4—3321no—
1845C4—3321no—
1846C4—3321no—
1847C4—3321no—
1848C4—3321no—
1849C4—3321no—
1850C4—3321no—
1851C4—3321no—
1852C4—3321no—
1853C4—3321no—
1854C4—3321no—
1855C4—3321no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—42no—
1860C2—42no—
1861C2—6641no—
1862C2—6641no—
1863C2—6641no—
1864C2C2×#1912821211yescharacteristic
1865C2C2×#1912828411yescharacteristic
1866C2#2492087211yescharacteristic
1867C2#2492109811yescharacteristic
1868C2#2492113211yescharacteristic
1869C2#2492140311yescharacteristic
1870C2#2492149511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC22×C4×D4×C83C2
hypercenterC22×C4×D4D83
hypocenterC83#34990
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#19128284C2semidirect
2. #24915778C2semidirect
3. #24915764C2semidirect
4. #24915755C2semidirect
5. #24915745C2semidirect
6. #24913358C2semidirect
7. #24913347C2semidirect
8. #24913315C2semidirect
9. #24913300C2semidirect
10. #24911718C2semidirect
11. #24911583C2semidirect
12. #24911508C2semidirect
13. #24911394C2semidirect
14. #24911355C2semidirect
15. #24911349C2semidirect
16. #24911281C2semidirect
17. #24911207C2semidirect
18. #24911198C2semidirect
19. #24911124C2semidirect
20. #24910999C2semidirect
21. #24910993C2semidirect
22. #24910919C2semidirect
23. #24910837C2semidirect
24. #24910831C2semidirect
25. #24910773C2semidirect
26. #24910161C2semidirect
27. #24910117C2semidirect
28. #24910096C2semidirect
29. C4×#14581761C2semidirect
30. C2×#19127580C2semidirect
31. C22×C4×D4×C83C2semidirect
34. C2×#14581787C22semidirect
35. C2×#14581786C22semidirect
36. C2×#14581780C22semidirect
37. C2×#14581778C22semidirect
38. C2×#14581777C22semidirect
39. C2×#14581775C22semidirect
40. C2×#14581775C22semidirect
41. C2×#14581771C22semidirect
42. C2×#14581769C22semidirect
45. C2×#14581766C22semidirect
46. C2×#14581766C22semidirect
47. C2×#14581765C22semidirect
50. C2×#14581762C22semidirect
54. C2×#14581761C22semidirect
57. C2×C4×C22⋊D83C22semidirect
58. C2×C4×C22⋊D83C22semidirect
59. C2×C4×C22⋊D83C22semidirect
61. C22×(C2×D83)⋊C4C22semidirect
62. C22×(C2×D83)⋊C4C22semidirect
63. #19127640C22semidirect
64. #19127639C22semidirect
65. #19127637C22semidirect
66. #19127636C22semidirect
67. #19127634C22semidirect
68. #19127629C22semidirect
69. #19127627C22semidirect
70. #19127627C22semidirect
71. #19127624C22semidirect
72. #19127624C22semidirect
73. #19127624C22semidirect
74. #19127623C22semidirect
75. #19127618C22semidirect
76. #19127617C22semidirect
77. #19127617C22semidirect
78. #19127617C22semidirect
79. #19127616C22semidirect
80. #19127616C22semidirect
81. #19127616C22semidirect
82. #19127615C22semidirect
83. #19127615C22semidirect
84. #19127613C22semidirect
85. #19127613C22semidirect
86. #19127610C22semidirect
87. #19127610C22semidirect
88. #19127610C22semidirect
93. #19127609C22semidirect
94. #19127609C22semidirect
95. #19127607C22semidirect
96. #19127603C22semidirect
97. #19127601C22semidirect
98. #19127601C22semidirect
99. #19127594C22semidirect
100. #19127594C22semidirect
101. #19127592C22semidirect
102. #19127592C22semidirect
103. #19127592C22semidirect
104. #19127592C22semidirect
105. #19127592C22semidirect
106. #19127592C22semidirect
107. #19127592C22semidirect
108. #19127591C22semidirect
109. #19127591C22semidirect
110. #19127589C22semidirect
111. #19127587C22semidirect
112. #19127587C22semidirect
113. #19127585C22semidirect
114. #19127585C22semidirect
115. #19127585C22semidirect
116. #19127582C22semidirect
129. #19127580C22semidirect
130. #19127580C22semidirect
131. #19127580C22semidirect
132. #19127580C22semidirect
133. #19127580C22semidirect
134. #19127580C22semidirect
135. #19127580C22semidirect
136. #19127580C22semidirect
137. #19127580C22semidirect
138. #19127580C22semidirect
139. #19127580C22semidirect
140. #19127580C22semidirect
141. #19127580C22semidirect
142. #19127580C22semidirect
143. #19127578C22semidirect
144. #19127577C22semidirect
145. #19127576C22semidirect
146. #19127576C22semidirect
147. #19127574C22semidirect
148. #19127574C22semidirect
149. #19127574C22semidirect
150. #19127574C22semidirect
151. #19127574C22semidirect
152. #19127574C22semidirect
153. #19127574C22semidirect
154. #19127574C22semidirect
155. #19127573C22semidirect
156. #19127572C22semidirect
157. #19127569C22semidirect
158. #19127567C22semidirect
159. #19127564C22semidirect
160. #19127564C22semidirect
161. #19127561C22semidirect
162. #19127561C22semidirect
163. #19127561C22semidirect
164. #19127559C22semidirect
166. #19127557C22semidirect
167. #19127556C22semidirect
168. C4×C22⋊Dic83C22semidirect
169. C4×C22⋊Dic83C22semidirect
170. C4×C22⋊Dic83C22semidirect
171. C2×C83⋊#95C22semidirect
172. C2×C83⋊#95C22semidirect
175. C24×C4×C83C22semidirect
181. C2×C4×D4×C83C22semidirect
182. C2×C4×D4×C83C22semidirect
183. C2×C4×D4×C83C22semidirect
184. C2×C4×D4×C83C22semidirect
185. C22×C4⋊C4×C83C22semidirect
187. C22×C22⋊C4×C83C22semidirect
188. C22×C42×C83C22semidirect
376. C4×D4×C83D4semidirect
620. C22×C4×C83C2×D4semidirect
634. C4⋊C4×C83C2×D4semidirect
642. C22⋊C4×C83C2×D4semidirect
646. C42×C83C2×D4semidirect
867. C22×C83#538semidirect
937. C22×C4×D4D83semidirect
967. C83#34990semidirect
971. C24×C4C2×D83semidirect
1004. C2×C4×D4C2×D83semidirect
1005. C2×C4×D4C2×D83semidirect
1006. C2×C4×D4C2×D83semidirect
1007. C2×C4×D4C2×D83semidirect
1008. C22×C4⋊C4C2×D83semidirect
1013. C22×C22⋊C4C2×D83semidirect
1014. C22×C42C2×D83semidirect
1210. C4×D4C22⋊D83semidirect
1489. C22×C4C2×C22⋊D83semidirect
1519. C4⋊C4C2×C22⋊D83semidirect
1575. C22⋊C4C2×C22⋊D83semidirect
1582. C42C2×C22⋊D83semidirect
1825. C22#19128284semidirect

Maximal subgroups

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

subgroupindex
C2×#191282842
#249157782
#249157642
#249157552
#249157452
#249133582
#249133472
#249133152
#249133002
#249117182
#249115832
#249115082
#249113942
#249113552
#249113492
#249112812
#249112072
#249111982
#249111242
#249109992
#249109932
#249109192
#249108372
#249108312
#249107732
#249101612
#249101172
#249100962
C4×#145817612
C2×#191275802
C22×C4×D4×C832
#3499083