Finite Group Databasebeta

← #35577101

Subgroups — #35577101

Order 21248.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128300C211yesmaximal, characteristic, complemented
2C2×C4×D4×D83C211yesmaximal, characteristic, complemented
3#24915781C211yesmaximal, characteristic, complemented
4#24915772C211yesmaximal, characteristic, complemented
5#24915758C211yesmaximal, characteristic, complemented
6#24915747C211yesmaximal, characteristic, complemented
7#24913389C211yesmaximal, characteristic, complemented
8#24913367C211yesmaximal, characteristic, complemented
9#24913337C211yesmaximal, characteristic, complemented
10#24913313C211yesmaximal, characteristic, complemented
11#24911712C211yesmaximal, characteristic, complemented
12#24911607C211yesmaximal, characteristic, complemented
13#24911506C211yesmaximal, characteristic, complemented
14#24911456C211yesmaximal, characteristic, complemented
15#24911422C211yesmaximal, characteristic, complemented
16#24911347C211yesmaximal, characteristic, complemented
17#24911265C211yesmaximal, characteristic, complemented
18#24911198C211yesmaximal, characteristic, complemented
19#24911126C211yesmaximal, characteristic, complemented
20#24911008C211yesmaximal, characteristic, complemented
21#24910942C211yesmaximal, characteristic, complemented
22#24910928C211yesmaximal, characteristic, complemented
23#24910857C211yesmaximal, characteristic, complemented
24#24910836C211yesmaximal, characteristic
25#24910789C211yesmaximal, characteristic, complemented
26#24910164C211yesmaximal, characteristic, complemented
27#24910137C211yesmaximal, characteristic, complemented
28#24910091C211yesmaximal, characteristic, complemented
29#24909964C211yesmaximal, characteristic, complemented
30C2×#19127572C211yesmaximal, characteristic, complemented
31C83×#2449C211yesmaximal, characteristic, complemented
32C22×D4×D83C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34C23×C4×D83C2211yescharacteristic
35#19128300—28no—
36C2×#14581787C2211yescharacteristic, complemented
37C2×#14581787C2211yescharacteristic, complemented
38C2×#14581783C2211yescharacteristic, complemented
39C2×#14581783C2211yescharacteristic, complemented
40C2×#14581777C2211yescharacteristic, complemented
41C2×#14581777C2211yescharacteristic, complemented
42C2×#14581777C2211yescharacteristic, complemented
43C2×#14581776C2211yescharacteristic
44C2×#14581776C2211yescharacteristic, complemented
45C2×#14581773C2211yescharacteristic
46C2×#14581768C2211yescharacteristic
47C2×#14581768C2211yescharacteristic, complemented
48C2×#14581768C2211yescharacteristic, complemented
49C2×#14581766C2211yescharacteristic
50C2×#14581764C2211yescharacteristic
51C2×#14581762C2211yescharacteristic
52C2×#14581762C2211yescharacteristic
53C2×C4×D332C2211yescharacteristic
54C2×D4×Dic83C2211yescharacteristic
55C2×#14581754C2211yescharacteristic
56C2×#14581754C2211yescharacteristic
57C2×#14581754C2211yescharacteristic, complemented
58C2×C4×C22⋊D83C2211yescharacteristic
59C2×C4×C22⋊D83C2211yescharacteristic
60C2×(C22⋊D83)⋊C4C2211yescharacteristic
61C2×(C22⋊D83)⋊C4C2211yescharacteristic
62C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
63C4×D4×D83—28no—
64C22×Dic83⋊C4C2211yescharacteristic, complemented
65C2×C4⋊C4×D83C2211yescharacteristic
66C22×(C2×D83)⋊C4C2211yescharacteristic
67C22×(C2×D83)⋊C4C2211yescharacteristic
68C2×C22⋊C4×D83C2211yescharacteristic
69C2×C22⋊C4×D83C2211yescharacteristic
70C2×C42×D83C2211yescharacteristic
71#19127643C2211yescharacteristic, complemented
72#19127636C2211yescharacteristic, complemented
73#19127636C2211yescharacteristic, complemented
74#19127634C2211yescharacteristic, complemented
75#19127634C2211yescharacteristic, complemented
76#19127631C2211yescharacteristic, complemented
77#19127630C2211yescharacteristic, complemented
78#19127628C2211yescharacteristic, complemented
79#19127628C2211yescharacteristic, complemented
80#19127627C2211yescharacteristic, complemented
81#19127627C2211yescharacteristic, complemented
82#19127626C2211yescharacteristic, complemented
83#19127623C2211yescharacteristic, complemented
84#19127623C2211yescharacteristic, complemented
85#19127623C2211yescharacteristic, complemented
86#19127619C2211yescharacteristic
87#19127619C2211yescharacteristic
88#19127619C2211yescharacteristic
89#19127618C2211yescharacteristic, complemented
90#19127618C2211yescharacteristic, complemented
91#19127618C2211yescharacteristic, complemented
92#19127617C2211yescharacteristic
93#19127617C2211yescharacteristic
94#19127617C2211yescharacteristic
95#19127617C2211yescharacteristic, complemented
96#19127612C2211yescharacteristic, complemented
97#19127611C2211yescharacteristic
98#19127610C2211yescharacteristic
99#19127599C2211yescharacteristic, complemented
100#19127598C2211yescharacteristic, complemented
101#19127598C2211yescharacteristic, complemented
102#19127595C2211yescharacteristic, complemented
103#19127593C2211yescharacteristic, complemented
104#19127592C2211yescharacteristic, complemented
105#19127591C2211yescharacteristic, complemented
106#19127591C2211yescharacteristic, complemented
107#19127590C2211yescharacteristic, complemented
108#19127589C2211yescharacteristic, complemented
109#19127589C2211yescharacteristic, complemented
110#19127588C2211yescharacteristic, complemented
111#19127588C2211yescharacteristic, complemented
112#19127588C2211yescharacteristic, complemented
113#19127587C2211yescharacteristic, complemented
114#19127587C2211yescharacteristic, complemented
115#19127583C2211yescharacteristic, complemented
116#19127583C2211yescharacteristic, complemented
117#19127583C2211yescharacteristic, complemented
118#19127582C2211yescharacteristic, complemented
119#19127580C2211yescharacteristic
120#19127580C2211yescharacteristic, complemented
121#19127580C2211yescharacteristic, complemented
122#19127580C2211yescharacteristic, complemented
123#19127579C2211yescharacteristic
124#19127579C2211yescharacteristic
125#19127579C2211yescharacteristic
126#19127579C2211yescharacteristic
127#19127579C2211yescharacteristic, complemented
128#19127578C2211yescharacteristic
129#19127578C2211yescharacteristic, complemented
130#19127577C2211yescharacteristic, complemented
131#19127576C2211yescharacteristic, complemented
132#19127575C2211yescharacteristic
133#19127575C2211yescharacteristic
134#19127575C2211yescharacteristic
135#19127575C2211yescharacteristic, complemented
136#19127574C2211yescharacteristic, complemented
137#19127573C2211yescharacteristic, complemented
138#19127573C2211yescharacteristic, complemented
139#19127573C2211yescharacteristic, complemented
140#19127572C2211yescharacteristic
141#19127572C2211yescharacteristic
142#19127572C2211yescharacteristic
143#19127572C2211yescharacteristic
144#19127572C2211yescharacteristic
145#19127572C2211yescharacteristic
146#19127572C2211yescharacteristic
147#19127572C2211yescharacteristic, complemented
148#19127572C2211yescharacteristic, complemented
149#19127572C2211yescharacteristic, complemented
150#19127572C2211yescharacteristic, complemented
151#19127572C2211yescharacteristic, complemented
152#19127572C2211yescharacteristic, complemented
153#19127572C2211yescharacteristic, complemented
154#19127568C2211yescharacteristic, complemented
155#19127566C2211yescharacteristic, complemented
156#19127563C2211yescharacteristic, complemented
157#19127563C2211yescharacteristic, complemented
158#19127562C2211yescharacteristic, complemented
159#19127561C2211yescharacteristic, complemented
160#19127559C2211yescharacteristic, complemented
161#19127558C2211yescharacteristic
162#19127558C2211yescharacteristic
163#19127558C2211yescharacteristic
164#19127558C2211yescharacteristic, complemented
165#19127556C2211yescharacteristic
166#19127556C2211yescharacteristic
167#19127556C2211yescharacteristic
168#19127556C2211yescharacteristic
169C22⋊C4×Dic83C2211yescharacteristic, complemented
170#19127548C2211yescharacteristic
171#19127548C2211yescharacteristic, complemented
172C2×C83⋊#95C2211yescharacteristic, complemented
173C2×C83⋊#95C2211yescharacteristic, complemented
174C2×C22⋊Q8×C83C2211yescharacteristic, complemented
175C2×C22⋊Q8×C83C2211yescharacteristic, complemented
176C2×C4×D4×C83C2211yescharacteristic
177C22×C4⋊C4×C83C2211yescharacteristic, complemented
178#399×C83C2211yescharacteristic, complemented
179#398×C83C2211yescharacteristic, complemented
180#396×C83C2211yescharacteristic, complemented
181#395×C83C2211yescharacteristic, complemented
182#389×C83C2211yescharacteristic, complemented
183#387×C83C2211yescharacteristic, complemented
184#386×C83C2211yescharacteristic
185#386×C83C2211yescharacteristic
186#385×C83C2211yescharacteristic, complemented
187#385×C83C2211yescharacteristic, complemented
188#385×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C24×D83C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C2×D4×D83—24no—
200C2×D4×D83—24no—
201C2×D4×D83—24no—
202C23×Dic83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C23×Dic83C2311yescharacteristic
205C23×Dic83C2311yescharacteristic
206C22×C4×D83—24no—
207C22×C4×D83—24no—
208C22×C4×D83—42no—
209C22×C4×D83—42no—
210C22×C4×D83—42no—
211C22×C4×D83—42no—
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220C22×C4×D83C2311yescharacteristic
221C22×C4×D83C2311yescharacteristic
222#14581787—24no—
223#14581787—24no—
224#14581783—24no—
225#14581783—24no—
226#14581777—24no—
227#14581777—24no—
228#14581777—42no—
229#14581776—24no—
230#14581776—24no—
231#14581773—24no—
232#14581768—24no—
233#14581768—24no—
234#14581768—42no—
235#14581766—24no—
236#14581764—24no—
237#14581762—24no—
238#14581762—42no—
239C4×D332—24no—
240D4×Dic83—24no—
241#14581754—24no—
242#14581754—42no—
243#14581754—42no—
244C4×C22⋊D83—24no—
245C4×C22⋊D83—24no—
246(C22⋊D83)⋊C4—24no—
247(C22⋊D83)⋊C4—24no—
248(C22⋊D83)⋊C4D418yescomplemented
249C2×C4⋊Dic83C2311yescharacteristic
250C2×C4⋊Dic83C2311yescharacteristic
251C2×C4⋊Dic83C2311yescharacteristic
252C2×C4⋊Dic83C2311yescharacteristic
253C2×C4⋊Dic83C2311yescharacteristic
254C2×C4⋊Dic83C2311yescharacteristic
255C2×C4⋊Dic83C2311yescharacteristic
256C2×C4⋊Dic83C2311yescharacteristic
257C2×Dic83⋊C4—24no—
258C2×Dic83⋊C4C2311yescharacteristic
259C2×Dic83⋊C4C2311yescharacteristic
260C2×Dic83⋊C4C2311yescharacteristic
261C2×Dic83⋊C4C2311yescharacteristic
262C2×Dic83⋊C4C2311yescharacteristic
263C2×Dic83⋊C4C2311yescharacteristic
264C2×Dic83⋊C4C2311yescharacteristic
265C2×Dic83⋊C4C2311yescharacteristic
266C2×Dic83⋊C4C2311yescharacteristic
267C2×Dic83⋊C4C2311yescharacteristic
268C2×Dic83⋊C4C2311yescharacteristic
269C2×Dic83⋊C4C2311yescharacteristic
270C2×Dic83⋊C4C2311yescharacteristic
271C2×Dic83⋊C4C2311yescharacteristic
272C4⋊C4×D83—24no—
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×(C2×D83)⋊C4C2311yescharacteristic
307C2×(C2×D83)⋊C4C2311yescharacteristic
308C2×(C2×D83)⋊C4C2311yescharacteristic
309C2×(C2×D83)⋊C4C2311yescharacteristic
310C2×(C2×D83)⋊C4C2311yescharacteristic
311C2×(C2×D83)⋊C4C2311yescharacteristic
312C2×(C2×D83)⋊C4C2311yescharacteristic
313C2×(C2×D83)⋊C4C2311yescharacteristic
314C2×(C2×D83)⋊C4C2311yescharacteristic
315C22⋊C4×D83—24no—
316C22⋊C4×D83—24no—
317C2×C4×Dic83C2311yescharacteristic
318C2×C4×Dic83C2311yescharacteristic
319C2×C4×Dic83C2311yescharacteristic
320C2×C4×Dic83C2311yescharacteristic
321C2×C4×Dic83C2311yescharacteristic
322C2×C4×Dic83C2311yescharacteristic
323C42×D83—24no—
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
341C83⋊#95C2311yescharacteristic
342C83⋊#95C2311yescharacteristic
343C83⋊#95C2311yescharacteristic
344C83⋊#95C2311yescharacteristic
345C83⋊#95C2311yescharacteristic
346C83⋊#95C2311yescharacteristic
347C83⋊#95C2311yescharacteristic
348C83⋊#95C2311yescharacteristic
349C83⋊#95C2311yescharacteristic
350C83⋊#95C2311yescharacteristic
351C83⋊#95C2311yescharacteristic
352C22×Q8×C83C2311yescharacteristic
353C22×D4×C83C2311yescharacteristic
354C23×C4×C83C2311yescharacteristic
355C23×C4×C83C2311yescharacteristic
356C23×C4×C83C2311yescharacteristic
357C23×C4×C83C2311yescharacteristic
358C22⋊Q8×C83—24no—
359C22⋊Q8×C83—42no—
360C4×D4×C83—24no—
361C2×C4⋊C4×C83—42no—
362C2×C4⋊C4×C83C2311yescharacteristic
363C2×C4⋊C4×C83C2311yescharacteristic
364C2×C4⋊C4×C83C2311yescharacteristic
365C2×C4⋊C4×C83C2311yescharacteristic
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×C4⋊C4×C83C2311yescharacteristic
373C2×C4⋊C4×C83C2311yescharacteristic
374C2×C22⋊C4×C83C2311yescharacteristic
375C2×C22⋊C4×C83C2311yescharacteristic
376C2×C22⋊C4×C83C2311yescharacteristic
377C2×C22⋊C4×C83C2311yescharacteristic
378C2×C22⋊C4×C83C2311yescharacteristic
379C2×C22⋊C4×C83C2311yescharacteristic
380C2×C22⋊C4×C83C2311yescharacteristic
381C2×C22⋊C4×C83C2311yescharacteristic
382C2×C42×C83C2311yescharacteristic
383#95×C83C2311yescharacteristic
384#95×C83C2311yescharacteristic
385#95×C83C2311yescharacteristic
386#95×C83C2311yescharacteristic
387#95×C83C2311yescharacteristic
388#95×C83C2311yescharacteristic
389#95×C83C2311yescharacteristic
390#95×C83C2311yescharacteristic
391C23×D83—22no—
392C23×D83—22no—
393C23×D83—22no—
394C23×D83—22no—
395C23×D83—22no—
396C23×D83—22no—
397C23×D83—22no—
398C23×D83—22no—
399C23×D83—22no—
400C23×D83—41no—
401C23×D83—41no—
402C23×D83—41no—
403C23×D83—41no—
404C23×D83#4114yes—
405C23×D83C2411yescharacteristic
406C23×D83C2411yescharacteristic
407C23×D83C2411yescharacteristic
408C23×D83C2411yescharacteristic
409C2×D332—22no—
410C2×D332—22no—
411C2×D332—22no—
412C2×D332—22no—
413C2×D332—22no—
414C2×D332—22no—
415C2×D332—22no—
416C2×D332—22no—
417C2×D332—41no—
418C2×D332—41no—
419C2×D332—41no—
420C2×D332—41no—
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—41no—
431C2×C22⋊D83—41no—
432C2×C22⋊D83C2×D414yes—
433D4×D83—232no—
434C22×Dic83—22no—
435C22×Dic83—22no—
436C22×Dic83—22no—
437C22×Dic83—22no—
438C22×Dic83—22no—
439C22×Dic83—41no—
440C22×Dic83—41no—
441C22×Dic83—41no—
442C22×Dic83—41no—
443C22×Dic83—41no—
444C22×Dic83—41no—
445C22×Dic83C2×D414yes—
446C22×Dic83C2411yescharacteristic
447C22×Dic83C2411yescharacteristic
448C22×Dic83C2411yescharacteristic
449C22×Dic83C2411yescharacteristic
450C22×Dic83C2411yescharacteristic
451C22×Dic83C2411yescharacteristic
452C22×Dic83C2411yescharacteristic
453C22×Dic83C2411yescharacteristic
454C22×Dic83C2411yescharacteristic
455C22×Dic83C2411yescharacteristic
456C22×Dic83C2411yescharacteristic
457C22×Dic83C2411yescharacteristic
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—22no—
467C2×C4×D83—22no—
468C2×C4×D83—22no—
469C2×C4×D83—22no—
470C2×C4×D83—22no—
471C2×C4×D83—22no—
472C2×C4×D83—22no—
473C2×C4×D83—22no—
474C2×C4×D83—22no—
475C2×C4×D83—22no—
476C2×C4×D83—416no—
477C2×C4×D83—416no—
478C2×C4×D83—41no—
479C2×C4×D83—41no—
480C2×C4×D83—41no—
481C2×C4×D83—41no—
482C2×C4×D83—41no—
483C2×C4×D83—41no—
484C2×C4×D83—41no—
485C2×C4×D83—41no—
486C2×C4×D83—41no—
487C2×C4×D83—41no—
488C2×C4×D83—41no—
489C2×C4×D83C2×D414yes—
490C4⋊Dic83—22no—
491C4⋊Dic83—22no—
492C4⋊Dic83—22no—
493C4⋊Dic83—22no—
494C4⋊Dic83—22no—
495C4⋊Dic83—22no—
496C4⋊Dic83—41no—
497C4⋊Dic83—41no—
498Dic83⋊C4—22no—
499Dic83⋊C4—22no—
500Dic83⋊C4—22no—
501Dic83⋊C4—22no—
502Dic83⋊C4—22no—
503Dic83⋊C4—22no—
504Dic83⋊C4—22no—
505Dic83⋊C4—22no—
506Dic83⋊C4—22no—
507Dic83⋊C4—41no—
508Dic83⋊C4—41no—
509Dic83⋊C4—41no—
510Dic83⋊C4—41no—
511Dic83⋊C4C2×D414yes—
512C22⋊Dic83—22no—
513C22⋊Dic83—22no—
514C22⋊Dic83—22no—
515C22⋊Dic83—22no—
516C22⋊Dic83—22no—
517C22⋊Dic83—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—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—22no—
537(C2×D83)⋊C4—22no—
538(C2×D83)⋊C4—22no—
539(C2×D83)⋊C4—22no—
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—
545(C2×D83)⋊C4—41no—
546(C2×D83)⋊C4—41no—
547(C2×D83)⋊C4—41no—
548(C2×D83)⋊C4—41no—
549(C2×D83)⋊C4—41no—
550(C2×D83)⋊C4—41no—
551(C2×D83)⋊C4C2×D414yes—
552C4×Dic83—22no—
553C4×Dic83—22no—
554C4×Dic83—22no—
555C4×Dic83—41no—
556C4×Dic83—41no—
557C4×Dic83C2×D414yes—
558C24×C83C2411yescharacteristic
559C24×C83C2411yescharacteristic
560C2×Q8×C83—22no—
561C2×Q8×C83—41no—
562C2×Q8×C83—41no—
563C2×D4×C83—22no—
564C2×D4×C83—22no—
565C2×D4×C83#4114yes—
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×C83—41no—
576C22×C4×C83—41no—
577C22×C4×C83—41no—
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
590C22×C4×C83C2411yescharacteristic
591C4⋊C4×C83—22no—
592C4⋊C4×C83—22no—
593C4⋊C4×C83—22no—
594C4⋊C4×C83—22no—
595C4⋊C4×C83—22no—
596C4⋊C4×C83—22no—
597C4⋊C4×C83—22no—
598C4⋊C4×C83—41no—
599C4⋊C4×C83—41no—
600C4⋊C4×C83—41no—
601C4⋊C4×C83—41no—
602C4⋊C4×C83—41no—
603C22⋊C4×C83—22no—
604C22⋊C4×C83—22no—
605C22⋊C4×C83—22no—
606C22⋊C4×C83—41no—
607C22⋊C4×C83—41no—
608C22⋊C4×C83—41no—
609C22⋊C4×C83—41no—
610C22⋊C4×C83C2×D414yes—
611C42×C83—22no—
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×C83C22×D412yes—
623C23×C83C2×#4112yes—
624C23×C83C2×#4112yes—
625C23×C83C2×#4112yes—
626C23×C83C2511yescharacteristic
627C22×D83—21no—
628C22×D83—21no—
629C22×D83—21no—
630C22×D83—21no—
631C22×D83—28no—
632C22×D83—28no—
633C22×D83—21no—
634C22×D83—21no—
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—28no—
646C22×D83—21no—
647C22×D83—21no—
648C22×D83—21no—
649C22×D83—21no—
650C22×D83—21no—
651C22×D83—21no—
652C22×D83—21no—
653C22×D83—44no—
654C22×D83—44no—
655C22×D83—44no—
656C22×D83—44no—
657C22×D83—44no—
658C22×D83—44no—
659C22×D83—44no—
660C22×D83—44no—
661C22×D83—44no—
662C22×D83—44no—
663C22×D83—44no—
664C22×D83C22×D412yes—
665C22×D83C2×#4112yes—
666C22×D83C2×#4112yes—
667C22×D83H(5,𝔽2)12yes—
668C22×D832−1+412yes—
669Q8×C83—82no—
670D4×C83—28no—
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—21no—
686C2×C4×C83—21no—
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—21no—
697C2×C4×C83—21no—
698C2×C4×C83—21no—
699C2×C4×C83—21no—
700C2×C4×C83—21no—
701C2×C4×C83—21no—
702C2×C4×C83—21no—
703C2×C4×C83—21no—
704C2×C4×C83—21no—
705C2×C4×C83—21no—
706C2×C4×C83—44no—
707C2×C4×C83—44no—
708C2×C4×C83—44no—
709C2×C4×C83—82no—
710C2×C4×C83C22×D412yes—
711C2×C4×C83C22×D412yes—
712C2×C4×C83C2×#4112yes—
713C2×C4×C83H(5,𝔽2)12yes—
714C22⋊D83—28no—
715C22⋊D83—28no—
716C22⋊D83—44no—
717C22⋊D83—82no—
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—44no—
752C2×Dic83—44no—
753C2×Dic83—44no—
754C2×Dic83—82no—
755C2×Dic83C22×D412yes—
756C2×Dic83C22×D412yes—
757C2×Dic83C22×D412yes—
758D332—28no—
759D332—44no—
760D332—44no—
761D332—82no—
762C4×D83—28no—
763C4×D83—28no—
764C4×D83—44no—
765C4×D83—44no—
766C4×D83—44no—
767C4×D83—44no—
768C4×D83—44no—
769C4×D83—44no—
770C4×D83—44no—
771C4×D83—82no—
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—22no—
781C22×C83—41no—
782C22×C83—41no—
783C22×C83—41no—
784C22×C83—41no—
785C22×C83#52514yes—
786C22×C83C23×D411yescharacteristic
787C22×C83C22×#4111yescharacteristic
788C22×C83C22×#4111yescharacteristic
789C22×C83C2×H(5,𝔽2)11yescharacteristic
790C22×C83C2×H(5,𝔽2)11yescharacteristic
791C22×C83C2×2−1+411yescharacteristic
792C22×C83#58511yescharacteristic
793C2×D83—22no—
794C2×D83—22no—
795C2×D83—22no—
796C2×D83—22no—
797C2×D83—22no—
798C2×D83—22no—
799C2×D83—22no—
800C2×D83—22no—
801C2×D83—22no—
802C2×D83—22no—
803C2×D83—22no—
804C2×D83—22no—
805C2×D83—416no—
806C2×D83—416no—
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—
818C2×D83—41no—
819C2×D83—41no—
820C2×D83—41no—
821C2×D83—41no—
822C2×D83#53914yescomplemented
823C4×C83—22no—
824C4×C83—22no—
825C4×C83—22no—
826C4×C83—22no—
827C4×C83—41no—
828C4×C83—41no—
829C4×C83—41no—
830C4×C83—41no—
831C4×C83—41no—
832C4×C83—41no—
833C4×C83—41no—
834C4×C83—41no—
835C4×C83—41no—
836Dic83—22no—
837Dic83—22no—
838Dic83—22no—
839Dic83—41no—
840Dic83—41no—
841Dic83—41no—
842Dic83—41no—
843Dic83—41no—
844Dic83—41no—
845Dic83—41no—
846Dic83—41no—
847Dic83—41no—
848#34991—831nomaximal, Sylow
849C2×C83—24no—
850C2×C83—42no—
851C2×C83C2×#52511yescharacteristic
852C2×C83C2×#53911yescharacteristic
853C2×C83#345911yescharacteristic
854C2×C83#348411yescharacteristic
855C2×C83#348911yescharacteristic
856C2×C83#351311yescharacteristic
857C2×C83#352011yescharacteristic
858D83—24no—
859D83—42no—
860D83—42no—
861D83—81no—
862C2×#539—831no—
863C22×C4×D4—831no—
864#2852—831no—
865#2851—831no—
866#2849—831no—
867#2848—831no—
868#2638—831no—
869#2636—831no—
870#2633—831no—
871#2630—831no—
872#2480—831no—
873#2473—831no—
874#2466—831no—
875#2463—831no—
876#2460—831no—
877#2455—831no—
878#2449—831no—
879#2449D8311yescharacteristic, complemented
880#2443—831no—
881#2437—831no—
882#2425—831no—
883#2419—831no—
884#2418—831no—
885#2412—831no—
886#2410—831no—
887#2405—831no—
888#2325—831no—
889#2322—831no—
890#2318—831no—
891C4×#120—831no—
892C2×#385—831no—
893C83#3499111yescharacteristic, complemented, Sylow
894C23×D4—831no—
895C24×C4—831no—
896C24×C4—831no—
897#539—1668no—
898C2×#126—831no—
899C2×#126—831no—
900C2×#125—831no—
901C2×#125—831no—
902C2×#123—831no—
903C2×#123—831no—
904C2×#123—831no—
905C2×#123—831no—
906C2×#123—831no—
907C2×#123—831no—
908C2×C22⋊Q8—831no—
909C2×C22⋊Q8—831no—
910C2×C22⋊Q8—831no—
911C2×C22⋊Q8C2×D8311yescharacteristic, complemented
912C2×C22⋊Q8C2×D8311yescharacteristic, complemented
913C2×#121—831no—
914C2×#121—831no—
915C2×#120—831no—
916C2×#120—831no—
917C2×C4×D4—831no—
918C2×C4×D4—831no—
919C2×C4×D4—831no—
920C2×C4×D4—831no—
921C2×C4×D4—831no—
922C2×C4×D4—831no—
923C2×C4×D4—831no—
924C2×C4×D4—831no—
925C2×C4×D4—831no—
926C2×C4×D4—831no—
927C2×C4×D4—1668no—
928C2×C4×D4C2×D8311yescharacteristic
929C22×C4⋊C4—831no—
930C22×C4⋊C4—831no—
931C22×C4⋊C4C2×D8311yescharacteristic, complemented
932C22×C22⋊C4—831no—
933C22×C22⋊C4—831no—
934C22×C22⋊C4—831no—
935C22×C22⋊C4—831no—
936C22×C42—831no—
937#400—831no—
938#399—831no—
939#399—831no—
940#399C2×D8311yescharacteristic, complemented
941#398—831no—
942#398—831no—
943#398—831no—
944#398C2×D8311yescharacteristic, complemented
945#397—831no—
946#397—831no—
947#397—831no—
948#397—831no—
949#397—831no—
950#397—831no—
951#396—831no—
952#396—831no—
953#396—831no—
954#396C2×D8311yescharacteristic, complemented
955#395C2×D8311yescharacteristic, complemented
956#394—831no—
957#394—831no—
958#394—831no—
959#394—831no—
960#394—831no—
961#394—831no—
962#394—831no—
963#394—831no—
964#394—831no—
965#394—831no—
966#393—831no—
967#392—831no—
968#392—831no—
969#389—831no—
970#389—831no—
971#389—831no—
972#389C2×D8311yescharacteristic, complemented
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#387—831no—
982#387—831no—
983#387—831no—
984#387—831no—
985#387—831no—
986#387—831no—
987#387—831no—
988#387—831no—
989#387—831no—
990#387C2×D8311yescharacteristic, complemented
991#386—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#386C2×D8311yescharacteristic
1004#386C2×D8311yescharacteristic
1005#385—831no—
1006#385—831no—
1007#385—831no—
1008#385—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#385—831no—
1019#385—831no—
1020#385—831no—
1021#385—831no—
1022#385—831no—
1023#385—831no—
1024#385—831no—
1025#385—831no—
1026#385—831no—
1027#385—831no—
1028#385C2×D8311yescharacteristic, complemented
1029#385C2×D8311yescharacteristic, complemented
1030#385C2×D8311yescharacteristic, complemented
1031#383—831no—
1032#382—831no—
1033#381—831no—
1034#381—831no—
1035#381—831no—
1036#380—831no—
1037#380—831no—
1038#380—831no—
1039#380—831no—
1040#380—831no—
1041#380—831no—
1042#379—831no—
1043#379—831no—
1044#379—831no—
1045#379—831no—
1046C4×C22⋊C4—831no—
1047C4×C22⋊C4—831no—
1048C4×C22⋊C4—831no—
1049C2×#95—831no—
1050C2×#95—831no—
1051C25—831no—
1052C25—831no—
1053C22×Q8C22×D8311yescharacteristic
1054C22×D4—831no—
1055C22×D4—831no—
1056C22×D4—831no—
1057C22×D4—831no—
1058C22×D4—831no—
1059C22×D4—831no—
1060C22×D4—831no—
1061C22×D4—831no—
1062C22×D4—1664no—
1063C22×D4—1664no—
1064C22×D4—1664no—
1065C22×D4C22×D8311yescharacteristic
1066C23×C4—3322no—
1067C23×C4—3322no—
1068C23×C4—3322no—
1069C23×C4—3322no—
1070C23×C4—831no—
1071C23×C4—831no—
1072C23×C4—831no—
1073C23×C4—831no—
1074C23×C4—831no—
1075C23×C4—831no—
1076C23×C4—831no—
1077C23×C4—831no—
1078C23×C4—831no—
1079C23×C4—831no—
1080C23×C4—831no—
1081C23×C4—831no—
1082C23×C4—831no—
1083C23×C4—831no—
1084C23×C4—1664no—
1085C23×C4—1664no—
1086C23×C4C22×D8311yescharacteristic
1087C23×C4C22×D8311yescharacteristic
1088C23×C4C22×D8311yescharacteristic
1089C23×C4C22×D8311yescharacteristic
1090#126—1664no—
1091#126—1664no—
1092#125—1664no—
1093#125—1664no—
1094#123—3322no—
1095#123—1664no—
1096#123—1664no—
1097#123—1664no—
1098#123—1664no—
1099#123—1664no—
1100C22⋊Q8—24no—
1101C22⋊Q8—42no—
1102C22⋊Q8—3322no—
1103C22⋊Q8—1664no—
1104C22⋊Q8—1664no—
1105#121—1664no—
1106#121—1664no—
1107#120—3322no—
1108#120—1664no—
1109C4×D4—24no—
1110C4×D4—3322no—
1111C4×D4—3322no—
1112C4×D4—838no—
1113C4×D4—1664no—
1114C4×D4—1664no—
1115C4×D4—1664no—
1116C4×D4—1664no—
1117C4×D4—1664no—
1118C4×D4—1664no—
1119C4×D4—1664no—
1120C2×C4⋊C4—42no—
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⋊C4—831no—
1138C2×C4⋊C4—831no—
1139C2×C4⋊C4—831no—
1140C2×C4⋊C4—831no—
1141C2×C4⋊C4—831no—
1142C2×C4⋊C4—831no—
1143C2×C4⋊C4—1664no—
1144C2×C4⋊C4—1664no—
1145C2×C4⋊C4C22×D8311yescharacteristic
1146C2×C4⋊C4C22×D8311yescharacteristic
1147C2×C4⋊C4C22×D8311yescharacteristic
1148C2×C4⋊C4C22×D8311yescharacteristic
1149C2×C4⋊C4C22×D8311yescharacteristic
1150C2×C4⋊C4C22×D8311yescharacteristic
1151C2×C4⋊C4C22×D8311yescharacteristic
1152C2×C4⋊C4C22×D8311yescharacteristic
1153C2×C4⋊C4C22×D8311yescharacteristic
1154C2×C4⋊C4C22×D8311yescharacteristic
1155C2×C4⋊C4C22×D8311yescharacteristic
1156C2×C4⋊C4C22×D8311yescharacteristic
1157C2×C22⋊C4—3322no—
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—831no—
1184C2×C22⋊C4—831no—
1185C2×C22⋊C4—831no—
1186C2×C22⋊C4—831no—
1187C2×C22⋊C4—831no—
1188C2×C22⋊C4—831no—
1189C2×C22⋊C4—831no—
1190C2×C22⋊C4—831no—
1191C2×C22⋊C4—831no—
1192C2×C22⋊C4—831no—
1193C2×C22⋊C4—831no—
1194C2×C22⋊C4—831no—
1195C2×C22⋊C4—831no—
1196C2×C22⋊C4—831no—
1197C2×C22⋊C4—831no—
1198C2×C22⋊C4—1664no—
1199C2×C22⋊C4—1664no—
1200C2×C22⋊C4—1664no—
1201C2×C22⋊C4C22×D8311yescharacteristic
1202C2×C22⋊C4C22×D8311yescharacteristic
1203C2×C22⋊C4C22×D8311yescharacteristic
1204C2×C22⋊C4C22×D8311yescharacteristic
1205C2×C22⋊C4C22×D8311yescharacteristic
1206C2×C22⋊C4C22×D8311yescharacteristic
1207C2×C22⋊C4C22×D8311yescharacteristic
1208C2×C22⋊C4C22×D8311yescharacteristic
1209C2×C42—831no—
1210C2×C42—831no—
1211C2×C42—831no—
1212C2×C42—831no—
1213C2×C42—831no—
1214C2×C42—831no—
1215C2×C42—1664no—
1216C2×C42C22×D8311yescharacteristic
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#95C22×D8311yescharacteristic
1246#95C22×D8311yescharacteristic
1247#95C22×D8311yescharacteristic
1248#95C22×D8311yescharacteristic
1249#95C22×D8311yescharacteristic
1250#95C22×D8311yescharacteristic
1251#95C22×D8311yescharacteristic
1252#95C22×D8311yescharacteristic
1253C24—3321no—
1254C24—3321no—
1255C24—3321no—
1256C24—3321no—
1257C24—834no—
1258C24—831no—
1259C24—831no—
1260C24—831no—
1261C24—831no—
1262C24—1662no—
1263C24—1662no—
1264C24—1662no—
1265C24—1662no—
1266C24—1662no—
1267C24—1662no—
1268C24—1662no—
1269C24—1662no—
1270C24—1662no—
1271C24C23×D8311yescharacteristic
1272C24C23×D8311yescharacteristic
1273C2×Q8—22no—
1274C2×Q8—41no—
1275C2×Q8—41no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—3321no—
1279C2×D4—3321no—
1280C2×D4—3321no—
1281C2×D4—3321no—
1282C2×D4—3321no—
1283C2×D4—3321no—
1284C2×D4—834no—
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—16632no—
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×D4#1305059114yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—3321no—
1317C22×C4—3321no—
1318C22×C4—3321no—
1319C22×C4—3321no—
1320C22×C4—3321no—
1321C22×C4—3321no—
1322C22×C4—3321no—
1323C22×C4—3321no—
1324C22×C4—3321no—
1325C22×C4—3321no—
1326C22×C4—3321no—
1327C22×C4—33216no—
1328C22×C4—33216no—
1329C22×C4—3321no—
1330C22×C4—3321no—
1331C22×C4—3321no—
1332C22×C4—3321no—
1333C22×C4—3321no—
1334C22×C4—3321no—
1335C22×C4—834no—
1336C22×C4—834no—
1337C22×C4—831no—
1338C22×C4—831no—
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—1662no—
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×C4—1662no—
1368C22×C4—1662no—
1369C22×C4—1662no—
1370C22×C4—1662no—
1371C22×C4—1662no—
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
1382C22×C4C23×D8311yescharacteristic
1383C22×C4C23×D8311yescharacteristic
1384C22×C4C23×D8311yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—41no—
1395C4⋊C4—41no—
1396C4⋊C4—41no—
1397C4⋊C4—3321no—
1398C4⋊C4—3321no—
1399C4⋊C4—3321no—
1400C4⋊C4—3321no—
1401C4⋊C4—3321no—
1402C4⋊C4—3321no—
1403C4⋊C4—834no—
1404C4⋊C4—1662no—
1405C4⋊C4—1662no—
1406C4⋊C4—1662no—
1407C4⋊C4—1662no—
1408C4⋊C4—1662no—
1409C4⋊C4—1662no—
1410C4⋊C4—1662no—
1411C4⋊C4—1662no—
1412C4⋊C4—1662no—
1413C4⋊C4—1662no—
1414C4⋊C4—1662no—
1415C4⋊C4—1662no—
1416C4⋊C4—1662no—
1417C4⋊C4—1662no—
1418C4⋊C4—1662no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—3321no—
1427C22⋊C4—3321no—
1428C22⋊C4—3321no—
1429C22⋊C4—3321no—
1430C22⋊C4—3321no—
1431C22⋊C4—3321no—
1432C22⋊C4—3321no—
1433C22⋊C4—3321no—
1434C22⋊C4—3321no—
1435C22⋊C4—3321no—
1436C22⋊C4—3321no—
1437C22⋊C4—834no—
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⋊C4—1662no—
1451C22⋊C4—1662no—
1452C22⋊C4—1662no—
1453C22⋊C4—1662no—
1454C22⋊C4—1662no—
1455C22⋊C4—1662no—
1456C22⋊C4—1662no—
1457C22⋊C4—1662no—
1458C22⋊C4—1662no—
1459C22⋊C4—1662no—
1460C22⋊C4—1662no—
1461C22⋊C4—1662no—
1462C22⋊C4—1662no—
1463C22⋊C4—1662no—
1464C22⋊C4—1662no—
1465C22⋊C4—1662no—
1466C22⋊C4D4×D8314yes—
1467C42—22no—
1468C42—3321no—
1469C42—3321no—
1470C42—834no—
1471C42—1662no—
1472C42—1662no—
1473C42—1662no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—3324no—
1485C23—3324no—
1486C23—3324no—
1487C23—3324no—
1488C23—3324no—
1489C23—3324no—
1490C23—3324no—
1491C23—3324no—
1492C23—3324no—
1493C23—3324no—
1494C23—3324no—
1495C23—832no—
1496C23—832no—
1497C23—832no—
1498C23—832no—
1499C23—832no—
1500C23—1668no—
1501C23—1668no—
1502C23—1661no—
1503C23—1661no—
1504C23—1661no—
1505C23—1661no—
1506C23—1661no—
1507C23—1661no—
1508C23—1661no—
1509C23—1668no—
1510C23—1661no—
1511C23—1661no—
1512C23—1661no—
1513C23—1661no—
1514C23—1661no—
1515C23—1661no—
1516C23—1661no—
1517C23—1661no—
1518C23—1661no—
1519C23—1661no—
1520C23—1661no—
1521C23—1661no—
1522C23—1661no—
1523C23—1661no—
1524C23—1661no—
1525C23—1661no—
1526C23C2×D4×D8312yes—
1527C23#41×D8312yes—
1528C23C2×#1305059112yes—
1529C23C2×#1305059112yes—
1530C23C24×D8311yescharacteristic
1531Q8—82no—
1532D4—28no—
1533D4—3324no—
1534D4—3324no—
1535D4—3324no—
1536D4—6642no—
1537D4—6642no—
1538D4—1668no—
1539D4—1668no—
1540D4—1668no—
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—21no—
1553C2×C4—21no—
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—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—82no—
1580C2×C4—3324no—
1581C2×C4—3324no—
1582C2×C4—3324no—
1583C2×C4—3324no—
1584C2×C4—3324no—
1585C2×C4—3324no—
1586C2×C4—3324no—
1587C2×C4—3324no—
1588C2×C4—3324no—
1589C2×C4—3324no—
1590C2×C4—832no—
1591C2×C4—832no—
1592C2×C4—832no—
1593C2×C4—6642no—
1594C2×C4—6642no—
1595C2×C4—1668no—
1596C2×C4—1668no—
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—1661no—
1614C2×C4—1661no—
1615C2×C4—1661no—
1616C2×C4—1661no—
1617C2×C4—1661no—
1618C2×C4—1661no—
1619C2×C4—1661no—
1620C2×C4—1661no—
1621C2×C4—1661no—
1622C2×C4—1661no—
1623C2×C4—1661no—
1624C2×C4—1661no—
1625C2×C4—1661no—
1626C2×C4—1661no—
1627C2×C4—1661no—
1628C2×C4—1661no—
1629C2×C4—1661no—
1630C2×C4C2×D4×D8312yes—
1631C2×C4C2×D4×D8312yes—
1632C2×C4C2×#1305059112yes—
1633C2×C4#1458183712yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—33216no—
1648C22—33216no—
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—3321no—
1662C22—3321no—
1663C22—3321no—
1664C22—834no—
1665C22—1662no—
1666C22—1662no—
1667C22—1662no—
1668C22—1662no—
1669C22—1662no—
1670C22—1662no—
1671C22—1662no—
1672C22—1662no—
1673C22—1662no—
1674C22—1662no—
1675C22—1662no—
1676C22—1662no—
1677C22#1912821414yes—
1678C22C22×D4×D8311yescharacteristic
1679C22C2×#41×D8311yescharacteristic
1680C22C22×#1305059111yescharacteristic
1681C22H(5,𝔽2)×D8311yescharacteristic
1682C22C2×#1458183711yescharacteristic
1683C222−1+4×D8311yescharacteristic
1684C22#1912853711yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—3321no—
1699C4—3321no—
1700C4—3321no—
1701C4—3321no—
1702C4—3321no—
1703C4—3321no—
1704C4—3321no—
1705C4—3321no—
1706C4—3321no—
1707C4—1662no—
1708C4—1662no—
1709C4—1662no—
1710C2—24no—
1711C2—42no—
1712C2—3322no—
1713C2—3322no—
1714C2—6641no—
1715C2—1664no—
1716C2C2×#1912821411yescharacteristic
1717C2#539×D8311yescharacteristic
1718C2#2492087011yescharacteristic
1719C2#2492109111yescharacteristic
1720C2#2492113711yescharacteristic
1721C2#2492140611yescharacteristic
1722C2#2492151311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2449C2
prime radical#24910836C2
hypercenter#2449D83
hypocenterC83#34991
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#19128300C2semidirect
2. C2×C4×D4×D83C2semidirect
3. #24915781C2semidirect
4. #24915772C2semidirect
5. #24915758C2semidirect
6. #24915747C2semidirect
7. #24913389C2semidirect
8. #24913367C2semidirect
9. #24913337C2semidirect
10. #24913313C2semidirect
11. #24911712C2semidirect
12. #24911607C2semidirect
13. #24911506C2semidirect
14. #24911456C2semidirect
15. #24911422C2semidirect
16. #24911347C2semidirect
17. #24911265C2semidirect
18. #24911198C2semidirect
19. #24911126C2semidirect
20. #24911008C2semidirect
21. #24910942C2semidirect
22. #24910928C2semidirect
23. #24910857C2semidirect
25. #24910789C2semidirect
26. #24910164C2semidirect
27. #24910137C2semidirect
28. #24910091C2semidirect
29. #24909964C2semidirect
30. C2×#19127572C2semidirect
31. C83×#2449C2semidirect
36. C2×#14581787C22semidirect
37. C2×#14581787C22semidirect
38. C2×#14581783C22semidirect
39. C2×#14581783C22semidirect
40. C2×#14581777C22semidirect
41. C2×#14581777C22semidirect
42. C2×#14581777C22semidirect
44. C2×#14581776C22semidirect
47. C2×#14581768C22semidirect
48. C2×#14581768C22semidirect
57. C2×#14581754C22semidirect
62. C2×(C22⋊D83)⋊C4C22semidirect
64. C22×Dic83⋊C4C22semidirect
71. #19127643C22semidirect
72. #19127636C22semidirect
73. #19127636C22semidirect
74. #19127634C22semidirect
75. #19127634C22semidirect
76. #19127631C22semidirect
77. #19127630C22semidirect
78. #19127628C22semidirect
79. #19127628C22semidirect
80. #19127627C22semidirect
81. #19127627C22semidirect
82. #19127626C22semidirect
83. #19127623C22semidirect
84. #19127623C22semidirect
85. #19127623C22semidirect
89. #19127618C22semidirect
90. #19127618C22semidirect
91. #19127618C22semidirect
95. #19127617C22semidirect
96. #19127612C22semidirect
99. #19127599C22semidirect
100. #19127598C22semidirect
101. #19127598C22semidirect
102. #19127595C22semidirect
103. #19127593C22semidirect
104. #19127592C22semidirect
105. #19127591C22semidirect
106. #19127591C22semidirect
107. #19127590C22semidirect
108. #19127589C22semidirect
109. #19127589C22semidirect
110. #19127588C22semidirect
111. #19127588C22semidirect
112. #19127588C22semidirect
113. #19127587C22semidirect
114. #19127587C22semidirect
115. #19127583C22semidirect
116. #19127583C22semidirect
117. #19127583C22semidirect
118. #19127582C22semidirect
120. #19127580C22semidirect
121. #19127580C22semidirect
122. #19127580C22semidirect
127. #19127579C22semidirect
129. #19127578C22semidirect
130. #19127577C22semidirect
131. #19127576C22semidirect
135. #19127575C22semidirect
136. #19127574C22semidirect
137. #19127573C22semidirect
138. #19127573C22semidirect
139. #19127573C22semidirect
147. #19127572C22semidirect
148. #19127572C22semidirect
149. #19127572C22semidirect
150. #19127572C22semidirect
151. #19127572C22semidirect
152. #19127572C22semidirect
153. #19127572C22semidirect
154. #19127568C22semidirect
155. #19127566C22semidirect
156. #19127563C22semidirect
157. #19127563C22semidirect
158. #19127562C22semidirect
159. #19127561C22semidirect
160. #19127559C22semidirect
164. #19127558C22semidirect
169. C22⋊C4×Dic83C22semidirect
171. #19127548C22semidirect
172. C2×C83⋊#95C22semidirect
173. C2×C83⋊#95C22semidirect
174. C2×C22⋊Q8×C83C22semidirect
175. C2×C22⋊Q8×C83C22semidirect
177. C22×C4⋊C4×C83C22semidirect
178. #399×C83C22semidirect
179. #398×C83C22semidirect
180. #396×C83C22semidirect
181. #395×C83C22semidirect
182. #389×C83C22semidirect
183. #387×C83C22semidirect
186. #385×C83C22semidirect
187. #385×C83C22semidirect
188. #385×C83C22semidirect
248. (C22⋊D83)⋊C4D4semidirect
822. C2×D83#539semidirect
879. #2449D83semidirect
893. C83#34991semidirect
911. C2×C22⋊Q8C2×D83semidirect
912. C2×C22⋊Q8C2×D83semidirect
931. C22×C4⋊C4C2×D83semidirect
940. #399C2×D83semidirect
944. #398C2×D83semidirect
954. #396C2×D83semidirect
955. #395C2×D83semidirect
972. #389C2×D83semidirect
990. #387C2×D83semidirect
1028. #385C2×D83semidirect
1029. #385C2×D83semidirect
1030. #385C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283002
C2×C4×D4×D832
#249157812
#249157722
#249157582
#249157472
#249133892
#249133672
#249133372
#249133132
#249117122
#249116072
#249115062
#249114562
#249114222
#249113472
#249112652
#249111982
#249111262
#249110082
#249109422
#249109282
#249108572
#249108362
#249107892
#249101642
#249101372
#249100912
#249099642
C2×#191275722
C83×#24492
#3499183