Finite Group Databasebeta

← #35613204

Subgroups — #35613204

Order 21248.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915755C211yesmaximal, characteristic, complemented
2#24915745C211yesmaximal, characteristic, complemented
3#24915405C211yesmaximal, characteristic, complemented
4#24915324C211yesmaximal, characteristic, complemented
5#24915209C211yesmaximal, characteristic, complemented
6#24915162C211yesmaximal, characteristic, complemented
7#24915109C211yesmaximal, characteristic, complemented
8#24915075C211yesmaximal, characteristic, complemented
9#24914720C211yesmaximal, characteristic, complemented
10#24914705C211yesmaximal, characteristic, complemented
11#24914636C211yesmaximal, characteristic, complemented
12#24914260C211yesmaximal, characteristic, complemented
13#24914209C211yesmaximal, characteristic, complemented
14#24914185C211yesmaximal, characteristic, complemented
15#24914182C211yesmaximal, characteristic, complemented
16#24914002C211yesmaximal, characteristic, complemented
17#24913873C211yesmaximal, characteristic, complemented
18#24913829C211yesmaximal, characteristic, complemented
19#24913416C211yesmaximal, characteristic, complemented
20#24913391C211yesmaximal, characteristic, complemented
21#24911718C211yesmaximal, characteristic, complemented
22#24911583C211yesmaximal, characteristic, complemented
23#24911198C211yesmaximal, characteristic, complemented
24#24911139C211yesmaximal, characteristic, complemented
25#24911073C211yesmaximal, characteristic, complemented
26#24910999C211yesmaximal, characteristic, complemented
27#24910848C211yesmaximal, characteristic, complemented
28#24910782C211yesmaximal, characteristic, complemented
29#24910132C211yesmaximal, characteristic, complemented
30#24910056C211yesmaximal, characteristic, complemented
31C2×#385×C83C211yesmaximal, characteristic, complemented
32C22×#13050590C2211yescharacteristic
33C2×#14581787C2211yescharacteristic, complemented
34C2×#14581778C2211yescharacteristic
35C2×#14581777C2211yescharacteristic, complemented
36C2×#14581775C2211yescharacteristic
37C2×#14581775C2211yescharacteristic
38C2×#14581775C2211yescharacteristic
39C2×#14581771C2211yescharacteristic
40C2×#14581766C2211yescharacteristic
41C2×#14581766C2211yescharacteristic
42C2×#14581766C2211yescharacteristic
43C2×#14581766C2211yescharacteristic
44C2×#14581765C2211yescharacteristic
45C2×#14581761C2211yescharacteristic
46C2×#14581761C2211yescharacteristic
47C2×#14581761C2211yescharacteristic
48C2×C4×C22⋊D83C2211yescharacteristic
49C2×#14581751C2211yescharacteristic
50C83⋊#401C2211yescharacteristic, complemented
51#19127643C2211yescharacteristic, complemented
52#19127642C2211yescharacteristic, complemented
53#19127642C2211yescharacteristic, complemented
54#19127642C2211yescharacteristic, complemented
55#19127641C2211yescharacteristic, complemented
56#19127641C2211yescharacteristic, complemented
57#19127640C2211yescharacteristic, complemented
58#19127639C2211yescharacteristic, complemented
59#19127636C2211yescharacteristic, complemented
60#19127635C2211yescharacteristic, complemented
61#19127634C2211yescharacteristic, complemented
62#19127633C2211yescharacteristic, complemented
63#19127630C2211yescharacteristic, complemented
64#19127630C2211yescharacteristic, complemented
65#19127630C2211yescharacteristic, complemented
66#19127629C2211yescharacteristic
67#19127628C2211yescharacteristic, complemented
68#19127628C2211yescharacteristic, complemented
69#19127627C2211yescharacteristic, complemented
70#19127627C2211yescharacteristic, complemented
71#19127625C2211yescharacteristic, complemented
72#19127624C2211yescharacteristic
73#19127624C2211yescharacteristic
74#19127624C2211yescharacteristic
75#19127623C2211yescharacteristic, complemented
76#19127622C2211yescharacteristic, complemented
77#19127622C2211yescharacteristic, complemented
78#19127619C2211yescharacteristic, complemented
79#19127619C2211yescharacteristic, complemented
80#19127619C2211yescharacteristic, complemented
81#19127618C2211yescharacteristic, complemented
82#19127617C2211yescharacteristic
83#19127617C2211yescharacteristic
84#19127617C2211yescharacteristic
85#19127616C2211yescharacteristic
86#19127616C2211yescharacteristic
87#19127616C2211yescharacteristic
88#19127614C2211yescharacteristic, complemented
89#19127614C2211yescharacteristic, complemented
90#19127614C2211yescharacteristic, complemented
91#19127613C2211yescharacteristic
92#19127613C2211yescharacteristic
93#19127613C2211yescharacteristic
94#19127611C2211yescharacteristic, complemented
95#19127610C2211yescharacteristic
96#19127610C2211yescharacteristic
97#19127610C2211yescharacteristic
98#19127606C2211yescharacteristic, complemented
99#19127606C2211yescharacteristic, complemented
100#19127605C2211yescharacteristic, complemented
101#19127602C2211yescharacteristic, complemented
102#19127602C2211yescharacteristic, complemented
103#19127601C2211yescharacteristic
104#19127601C2211yescharacteristic
105#19127601C2211yescharacteristic
106#19127601C2211yescharacteristic
107#19127598C2211yescharacteristic, complemented
108#19127596C2211yescharacteristic, complemented
109#19127596C2211yescharacteristic, complemented
110#19127595C2211yescharacteristic
111#19127595C2211yescharacteristic
112#19127594C2211yescharacteristic
113#19127594C2211yescharacteristic
114#19127591C2211yescharacteristic, complemented
115#19127591C2211yescharacteristic, complemented
116#19127591C2211yescharacteristic, complemented
117#19127591C2211yescharacteristic, complemented
118#19127589C2211yescharacteristic
119#19127588C2211yescharacteristic, complemented
120#19127587C2211yescharacteristic, complemented
121#19127587C2211yescharacteristic, complemented
122#19127584C2211yescharacteristic, complemented
123#19127582C2211yescharacteristic, complemented
124#19127582C2211yescharacteristic, complemented
125#19127582C2211yescharacteristic, complemented
126#19127580C2211yescharacteristic
127#19127580C2211yescharacteristic
128#19127580C2211yescharacteristic
129#19127580C2211yescharacteristic
130#19127580C2211yescharacteristic
131#19127580C2211yescharacteristic
132#19127580C2211yescharacteristic
133#19127580C2211yescharacteristic
134#19127580C2211yescharacteristic
135#19127580C2211yescharacteristic
136#19127580C2211yescharacteristic
137#19127580C2211yescharacteristic
138#19127580C2211yescharacteristic
139#19127580C2211yescharacteristic
140#19127580C2211yescharacteristic
141#19127580C2211yescharacteristic
142#19127579C2211yescharacteristic, complemented
143#19127579C2211yescharacteristic, complemented
144#19127577C2211yescharacteristic
145#19127577C2211yescharacteristic
146#19127577C2211yescharacteristic
147#19127577C2211yescharacteristic
148#19127577C2211yescharacteristic
149#19127575C2211yescharacteristic, complemented
150#19127575C2211yescharacteristic, complemented
151#19127574C2211yescharacteristic
152#19127574C2211yescharacteristic
153#19127574C2211yescharacteristic
154#19127574C2211yescharacteristic
155#19127574C2211yescharacteristic
156#19127574C2211yescharacteristic
157#19127572C2211yescharacteristic, complemented
158#19127572C2211yescharacteristic, complemented
159#19127572C2211yescharacteristic, complemented
160#19127564C2211yescharacteristic
161#19127564C2211yescharacteristic
162#19127564C2211yescharacteristic
163#19127561C2211yescharacteristic
164#19127561C2211yescharacteristic
165#19127561C2211yescharacteristic
166#19127558C2211yescharacteristic, complemented
167#19127558C2211yescharacteristic, complemented
168#19127558C2211yescharacteristic, complemented
169#19127558C2211yescharacteristic, complemented
170#19127557C2211yescharacteristic
171C4×C22⋊Dic83C2211yescharacteristic
172C24×C4×C83C2211yescharacteristic
173C22×C4⋊C4×C83C2211yescharacteristic
174C22×C4⋊C4×C83C2211yescharacteristic
175C22×C22⋊C4×C83C2211yescharacteristic
176C22×C22⋊C4×C83C2211yescharacteristic
177#385×C83C2211yescharacteristic
178#385×C83C2211yescharacteristic
179#385×C83C2211yescharacteristic
180#385×C83C2211yescharacteristic
181#385×C83C2211yescharacteristic
182#385×C83C2211yescharacteristic
183#385×C83C2211yescharacteristic
184#385×C83C2211yescharacteristic
185C2×#95×C83C2211yescharacteristic
186C2×#95×C83C2211yescharacteristic
187C2×#13050590—24no—
188C2×#13050590—42no—
189C2×#13050590—42no—
190C22×Dic166C2311yescharacteristic
191C22×Dic166C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
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×C4×D83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207#14581787—42no—
208#14581778—42no—
209#14581777—42no—
210#14581775—24no—
211#14581775—42no—
212#14581775—42no—
213#14581771—42no—
214#14581766—42no—
215#14581766—42no—
216#14581766—42no—
217#14581766—42no—
218#14581765—42no—
219#14581761—42no—
220#14581761—42no—
221#14581761—42no—
222C4×C22⋊D83—42no—
223#14581751—42no—
224C2×C4⋊Dic83C2311yescharacteristic
225C2×C4⋊Dic83C2311yescharacteristic
226C2×C4⋊Dic83C2311yescharacteristic
227C2×C4⋊Dic83C2311yescharacteristic
228C2×C4⋊Dic83C2311yescharacteristic
229C2×C4⋊Dic83C2311yescharacteristic
230C2×C4⋊Dic83C2311yescharacteristic
231C2×Dic83⋊C4C2311yescharacteristic
232C2×Dic83⋊C4C2311yescharacteristic
233C2×Dic83⋊C4C2311yescharacteristic
234C2×Dic83⋊C4C2311yescharacteristic
235C2×Dic83⋊C4C2311yescharacteristic
236C2×Dic83⋊C4C2311yescharacteristic
237C2×Dic83⋊C4C2311yescharacteristic
238C2×Dic83⋊C4C2311yescharacteristic
239C2×Dic83⋊C4C2311yescharacteristic
240C2×Dic83⋊C4C2311yescharacteristic
241C2×Dic83⋊C4C2311yescharacteristic
242C2×Dic83⋊C4C2311yescharacteristic
243C2×Dic83⋊C4C2311yescharacteristic
244C2×C22⋊Dic83C2311yescharacteristic
245C2×C22⋊Dic83C2311yescharacteristic
246C2×C22⋊Dic83C2311yescharacteristic
247C2×C22⋊Dic83C2311yescharacteristic
248C2×C22⋊Dic83C2311yescharacteristic
249C2×C22⋊Dic83C2311yescharacteristic
250C2×C22⋊Dic83C2311yescharacteristic
251C2×C22⋊Dic83C2311yescharacteristic
252C2×C22⋊Dic83C2311yescharacteristic
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×C22⋊Dic83C2311yescharacteristic
256C2×C22⋊Dic83C2311yescharacteristic
257C2×C22⋊Dic83C2311yescharacteristic
258C2×C22⋊Dic83C2311yescharacteristic
259C2×(C2×D83)⋊C4C2311yescharacteristic
260C2×(C2×D83)⋊C4C2311yescharacteristic
261C2×(C2×D83)⋊C4C2311yescharacteristic
262C2×(C2×D83)⋊C4C2311yescharacteristic
263C2×(C2×D83)⋊C4C2311yescharacteristic
264C2×(C2×D83)⋊C4C2311yescharacteristic
265C2×(C2×D83)⋊C4C2311yescharacteristic
266C2×(C2×D83)⋊C4C2311yescharacteristic
267C2×(C2×D83)⋊C4C2311yescharacteristic
268C2×(C2×D83)⋊C4C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×C4×Dic83C2311yescharacteristic
287C2×C4×Dic83C2311yescharacteristic
288C2×C4×Dic83C2311yescharacteristic
289C2×C4×Dic83C2311yescharacteristic
290C2×C4×Dic83C2311yescharacteristic
291C83⋊#95C2311yescharacteristic
292C83⋊#95C2311yescharacteristic
293C83⋊#95C2311yescharacteristic
294C83⋊#95C2311yescharacteristic
295C83⋊#95C2311yescharacteristic
296C83⋊#95C2311yescharacteristic
297C83⋊#95C2311yescharacteristic
298C83⋊#95C2311yescharacteristic
299C83⋊#95C2311yescharacteristic
300C83⋊#95C2311yescharacteristic
301C83⋊#95C2311yescharacteristic
302C83⋊#95C2311yescharacteristic
303C83⋊#95C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C25×C83C2311yescharacteristic
328C23×C4×C83—42no—
329C23×C4×C83—42no—
330C23×C4×C83—42no—
331C23×C4×C83C2311yescharacteristic
332C23×C4×C83C2311yescharacteristic
333C23×C4×C83C2311yescharacteristic
334C23×C4×C83C2311yescharacteristic
335C23×C4×C83C2311yescharacteristic
336C23×C4×C83C2311yescharacteristic
337C23×C4×C83C2311yescharacteristic
338C23×C4×C83C2311yescharacteristic
339C23×C4×C83C2311yescharacteristic
340C23×C4×C83C2311yescharacteristic
341C2×C4⋊C4×C83—42no—
342C2×C4⋊C4×C83—42no—
343C2×C4⋊C4×C83C2311yescharacteristic
344C2×C4⋊C4×C83C2311yescharacteristic
345C2×C4⋊C4×C83C2311yescharacteristic
346C2×C4⋊C4×C83C2311yescharacteristic
347C2×C4⋊C4×C83C2311yescharacteristic
348C2×C4⋊C4×C83C2311yescharacteristic
349C2×C4⋊C4×C83C2311yescharacteristic
350C2×C4⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83—24no—
352C2×C22⋊C4×C83—42no—
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C22⋊C4×C83C2311yescharacteristic
358C2×C22⋊C4×C83C2311yescharacteristic
359C2×C22⋊C4×C83C2311yescharacteristic
360C2×C22⋊C4×C83C2311yescharacteristic
361#95×C83C2311yescharacteristic
362#95×C83C2311yescharacteristic
363#95×C83C2311yescharacteristic
364#95×C83C2311yescharacteristic
365#95×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369C23×D83C2411yescharacteristic
370C23×D83C2411yescharacteristic
371C23×D83C2411yescharacteristic
372#13050590—416no—
373C2×Dic166—22no—
374C2×Dic166—41no—
375C2×Dic166—41no—
376C2×Dic166—41no—
377C2×Dic166—41no—
378C2×Dic166—41no—
379C2×D332—22no—
380C2×D332—22no—
381C2×D332—41no—
382C2×D332—41no—
383C2×D332—41no—
384C2×D332—41no—
385C2×D332—41no—
386C2×D332—41no—
387C2×D332—41no—
388C2×C22⋊D83—22no—
389C2×C22⋊D83—22no—
390C2×C22⋊D83—22no—
391C2×C22⋊D83—22no—
392C2×C22⋊D83—22no—
393C2×C22⋊D83—22no—
394C2×C22⋊D83—22no—
395C2×C22⋊D83—22no—
396C2×C22⋊D83—22no—
397C2×C22⋊D83—22no—
398C2×C22⋊D83—22no—
399C2×C22⋊D83—22no—
400C2×C22⋊D83—22no—
401C2×C22⋊D83—22no—
402C2×C22⋊D83—22no—
403C2×C22⋊D83—41no—
404C2×C22⋊D83—41no—
405C2×C22⋊D83—41no—
406C2×C22⋊D83—41no—
407C2×C22⋊D83—41no—
408C2×C22⋊D83—41no—
409C2×C22⋊D83—41no—
410C2×C22⋊D83—41no—
411C2×C22⋊D83—41no—
412C2×C22⋊D83—41no—
413C2×C22⋊D83—41no—
414C2×C22⋊D83—41no—
415C22×Dic83C2411yescharacteristic
416C22×Dic83C2411yescharacteristic
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C2×C4×D83—22no—
429C2×C4×D83—22no—
430C2×C4×D83—41no—
431C2×C4×D83—41no—
432C2×C4×D83—41no—
433C2×C4×D83—41no—
434C2×C4×D83—41no—
435C2×C4×D83—41no—
436C2×C4×D83—41no—
437C4⋊Dic83—22no—
438C4⋊Dic83—41no—
439C4⋊Dic83—41no—
440C4⋊Dic83—41no—
441C4⋊Dic83—41no—
442C4⋊Dic83—41no—
443C4⋊Dic83—41no—
444Dic83⋊C4—22no—
445Dic83⋊C4—22no—
446Dic83⋊C4—22no—
447Dic83⋊C4—41no—
448Dic83⋊C4—41no—
449Dic83⋊C4—41no—
450Dic83⋊C4—41no—
451Dic83⋊C4—41no—
452Dic83⋊C4—41no—
453Dic83⋊C4—41no—
454Dic83⋊C4—41no—
455Dic83⋊C4—41no—
456Dic83⋊C4—41no—
457C22⋊Dic83—22no—
458C22⋊Dic83—22no—
459C22⋊Dic83—22no—
460C22⋊Dic83—22no—
461C22⋊Dic83—22no—
462C22⋊Dic83—22no—
463C22⋊Dic83—22no—
464C22⋊Dic83—41no—
465C22⋊Dic83—41no—
466C22⋊Dic83—41no—
467C22⋊Dic83—41no—
468C22⋊Dic83—41no—
469C22⋊Dic83—41no—
470C22⋊Dic83—41no—
471C22⋊Dic83—41no—
472(C2×D83)⋊C4—22no—
473(C2×D83)⋊C4—22no—
474(C2×D83)⋊C4—22no—
475(C2×D83)⋊C4—41no—
476(C2×D83)⋊C4—41no—
477(C2×D83)⋊C4—41no—
478(C2×D83)⋊C4—41no—
479(C2×D83)⋊C4—41no—
480(C2×D83)⋊C4—41no—
481(C2×D83)⋊C4—41no—
482(C2×D83)⋊C4—41no—
483(C2×D83)⋊C4—41no—
484(C2×D83)⋊C4—41no—
485(C2×D83)⋊C4—41no—
486(C2×D83)⋊C4—41no—
487(C2×D83)⋊C4—41no—
488(C2×D83)⋊C4—41no—
489(C2×D83)⋊C4—41no—
490(C2×D83)⋊C4—41no—
491(C2×D83)⋊C4—41no—
492(C2×D83)⋊C4—41no—
493(C2×D83)⋊C4—41no—
494(C2×D83)⋊C4—41no—
495(C2×D83)⋊C4—41no—
496(C2×D83)⋊C4—41no—
497(C2×D83)⋊C4—41no—
498(C2×D83)⋊C4—41no—
499C4×Dic83—41no—
500C4×Dic83—41no—
501C4×Dic83—41no—
502C4×Dic83—41no—
503C4×Dic83—41no—
504C24×C83—22no—
505C24×C83—22no—
506C24×C83—22no—
507C24×C83—22no—
508C24×C83—22no—
509C24×C83—41no—
510C24×C83—41no—
511C24×C83C2411yescharacteristic
512C24×C83C2411yescharacteristic
513C24×C83C2411yescharacteristic
514C22×C4×C83—22no—
515C22×C4×C83—22no—
516C22×C4×C83—22no—
517C22×C4×C83—22no—
518C22×C4×C83—22no—
519C22×C4×C83—22no—
520C22×C4×C83—22no—
521C22×C4×C83—22no—
522C22×C4×C83—22no—
523C22×C4×C83—22no—
524C22×C4×C83—22no—
525C22×C4×C83—22no—
526C22×C4×C83—41no—
527C22×C4×C83—41no—
528C22×C4×C83—41no—
529C22×C4×C83—41no—
530C22×C4×C83—41no—
531C22×C4×C83—41no—
532C22×C4×C83—41no—
533C22×C4×C83—41no—
534C22×C4×C83—41no—
535C22×C4×C83—41no—
536C22×C4×C83—41no—
537C22×C4×C83—41no—
538C22×C4×C83—41no—
539C22×C4×C83—41no—
540C22×C4×C83—41no—
541C22×C4×C83—41no—
542C22×C4×C83—41no—
543C22×C4×C83—416no—
544C22×C4×C83#4114yes—
545C22×C4×C83C2411yescharacteristic
546C22×C4×C83C2411yescharacteristic
547C22×C4×C83C2411yescharacteristic
548C22×C4×C83C2411yescharacteristic
549C22×C4×C83C2411yescharacteristic
550C22×C4×C83C2411yescharacteristic
551C22×C4×C83C2411yescharacteristic
552C22×C4×C83C2411yescharacteristic
553C22×C4×C83C2411yescharacteristic
554C22×C4×C83C2411yescharacteristic
555C22×C4×C83C2411yescharacteristic
556C22×C4×C83C2411yescharacteristic
557C4⋊C4×C83—22no—
558C4⋊C4×C83—22no—
559C4⋊C4×C83—41no—
560C4⋊C4×C83—41no—
561C4⋊C4×C83—41no—
562C4⋊C4×C83—41no—
563C4⋊C4×C83—41no—
564C4⋊C4×C83—41no—
565C22⋊C4×C83—22no—
566C22⋊C4×C83—22no—
567C22⋊C4×C83—22no—
568C22⋊C4×C83—22no—
569C22⋊C4×C83—22no—
570C22⋊C4×C83—22no—
571C22⋊C4×C83—41no—
572C22⋊C4×C83—41no—
573C23×C83—21no—
574C23×C83—21no—
575C23×C83—21no—
576C23×C83—21no—
577C23×C83—28no—
578C23×C83—21no—
579C23×C83—21no—
580C23×C83—21no—
581C23×C83—21no—
582C23×C83—21no—
583C23×C83—21no—
584C23×C83—21no—
585C23×C83—21no—
586C23×C83—21no—
587C23×C83—21no—
588C23×C83—21no—
589C23×C83—21no—
590C23×C83—44no—
591C23×C83—44no—
592C23×C83—44no—
593C23×C83—44no—
594C23×C83—44no—
595C23×C83—44no—
596C23×C83C2×#4112yes—
597C23×C83H(5,𝔽2)12yes—
598C23×C83H(5,𝔽2)12yes—
599C23×C83H(5,𝔽2)12yes—
600C23×C832−1+412yes—
601C23×C83C2511yescharacteristic
602C22×D83—21no—
603C22×D83—21no—
604C22×D83—21no—
605C22×D83—21no—
606C22×D83—21no—
607C22×D83—21no—
608C22×D83—21no—
609C22×D83—21no—
610C22×D83—21no—
611C22×D83—21no—
612C22×D83—21no—
613C22×D83—21no—
614C22×D83—21no—
615C22×D83—21no—
616C22×D83—21no—
617C22×D83—21no—
618C22×D83—21no—
619C22×D83—21no—
620C22×D83—21no—
621C22×D83—21no—
622C22×D83—21no—
623C2×C4×C83—28no—
624C2×C4×C83—21no—
625C2×C4×C83—21no—
626C2×C4×C83—21no—
627C2×C4×C83—21no—
628C2×C4×C83—21no—
629C2×C4×C83—21no—
630C2×C4×C83—21no—
631C2×C4×C83—21no—
632C2×C4×C83—21no—
633C2×C4×C83—21no—
634C2×C4×C83—21no—
635C2×C4×C83—21no—
636C2×C4×C83—21no—
637C2×C4×C83—21no—
638C2×C4×C83—21no—
639C2×C4×C83—21no—
640C2×C4×C83—21no—
641C2×C4×C83—21no—
642C2×C4×C83—21no—
643C2×C4×C83—21no—
644C2×C4×C83—21no—
645C2×C4×C83—21no—
646C2×C4×C83—21no—
647C2×C4×C83—21no—
648C2×C4×C83—21no—
649C2×C4×C83—21no—
650C2×C4×C83—21no—
651C2×C4×C83—21no—
652C2×C4×C83—21no—
653C2×C4×C83—21no—
654C2×C4×C83—21no—
655C2×C4×C83—21no—
656C2×C4×C83—21no—
657C2×C4×C83—44no—
658C2×C4×C83—44no—
659C2×C4×C83—44no—
660C2×C4×C83—44no—
661C2×C4×C83—44no—
662C2×C4×C83—44no—
663C2×C4×C83—44no—
664C2×C4×C83—82no—
665C2×C4×C83—82no—
666C2×C4×C83C2×#4112yes—
667C2×C4×C83C2×#4112yes—
668C2×C4×C83H(5,𝔽2)12yes—
669C22⋊D83—44no—
670C22⋊D83—44no—
671C22⋊D83—44no—
672C22⋊D83—82no—
673C22⋊D83—82no—
674C22⋊D83—82no—
675C22⋊D83—82no—
676C22⋊D83—82no—
677C22⋊D83—82no—
678C2×Dic83—21no—
679C2×Dic83—21no—
680C2×Dic83—21no—
681C2×Dic83—21no—
682C2×Dic83—21no—
683C2×Dic83—21no—
684C2×Dic83—21no—
685C2×Dic83—21no—
686C2×Dic83—21no—
687C2×Dic83—21no—
688C2×Dic83—21no—
689C2×Dic83—21no—
690C2×Dic83—21no—
691C2×Dic83—21no—
692C2×Dic83—21no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—21no—
707C2×Dic83—21no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—21no—
711C2×Dic83—21no—
712C2×Dic83—21no—
713C2×Dic83—21no—
714C2×Dic83—21no—
715C2×Dic83—21no—
716C2×Dic83—21no—
717D332—44no—
718D332—82no—
719D332—82no—
720C4×D83—44no—
721C4×D83—44no—
722C4×D83—82no—
723Dic166—44no—
724Dic166—82no—
725C22×C83—22no—
726C22×C83—22no—
727C22×C83—22no—
728C22×C83—22no—
729C22×C83—22no—
730C22×C83—22no—
731C22×C83—22no—
732C22×C83—22no—
733C22×C83—22no—
734C22×C83—22no—
735C22×C83—22no—
736C22×C83—22no—
737C22×C83—416no—
738C22×C83—41no—
739C22×C83—41no—
740C22×C83—41no—
741C22×C83—41no—
742C22×C83—41no—
743C22×C83—41no—
744C22×C83—41no—
745C22×C83—41no—
746C22×C83#53814yes—
747C22×C83C22×#4111yescharacteristic
748C22×C83C2×H(5,𝔽2)11yescharacteristic
749C22×C83C2×H(5,𝔽2)11yescharacteristic
750C22×C83C2×H(5,𝔽2)11yescharacteristic
751C22×C83C2×H(5,𝔽2)11yescharacteristic
752C22×C83C2×2−1+411yescharacteristic
753C22×C83#58511yescharacteristic
754C2×D83—41no—
755C2×D83—41no—
756C2×D83—41no—
757C2×D83—41no—
758C2×D83—41no—
759C2×D83—41no—
760C2×D83—41no—
761C2×D83—41no—
762C2×D83—41no—
763C2×D83—41no—
764C2×D83—41no—
765C2×D83—41no—
766C2×D83—41no—
767C2×D83—41no—
768C2×D83—41no—
769C2×D83—41no—
770C2×D83—41no—
771C2×D83—41no—
772C2×D83—41no—
773C2×D83—41no—
774C2×D83—41no—
775C4×C83—22no—
776C4×C83—22no—
777C4×C83—22no—
778C4×C83—41no—
779C4×C83—41no—
780C4×C83—41no—
781C4×C83—41no—
782C4×C83—41no—
783C4×C83—41no—
784C4×C83—41no—
785C4×C83—41no—
786C4×C83—41no—
787Dic83—41no—
788Dic83—41no—
789Dic83—41no—
790Dic83—41no—
791Dic83—41no—
792Dic83—41no—
793Dic83—41no—
794Dic83—41no—
795Dic83—41no—
796Dic83—41no—
797Dic83—41no—
798Dic83—41no—
799Dic83—41no—
800#36791—831nomaximal, Sylow
801C2×C83—24no—
802C2×C83—42no—
803C2×C83—42no—
804C2×C83C2×#53811yescharacteristic
805C2×C83#349211yescharacteristic
806C2×C83#350611yescharacteristic
807C2×C83#353211yescharacteristic
808C2×C83#353411yescharacteristic
809C2×C83#353511yescharacteristic
810C2×C83#353611yescharacteristic
811D83—81no—
812D83—81no—
813D83—81no—
814#2849—831no—
815#2847—831no—
816#2804—831no—
817#2797—831no—
818#2788—831no—
819#2784—831no—
820#2780—831no—
821#2778—831no—
822#2751—831no—
823#2750—831no—
824#2745—831no—
825#2714—831no—
826#2710—831no—
827#2708—831no—
828#2708—831no—
829#2695—831no—
830#2686—831no—
831#2682—831no—
832#2643—831no—
833#2639—831no—
834#2481—831no—
835#2472—831no—
836#2443—831no—
837#2438—831no—
838#2430—831no—
839#2424—831no—
840#2411—831no—
841#2404—831no—
842#2322—831no—
843#2311—831no—
844C2×#385D8311yescharacteristic, complemented
845C83#3679111yescharacteristic, complemented, Sylow
846C22×#41—831no—
847C24×C4C2×D8311yescharacteristic
848C2×#126—831no—
849C2×#124—831no—
850C2×#123—831no—
851C2×#123—831no—
852C2×#123—831no—
853C2×#123—831no—
854C2×C22⋊Q8—831no—
855C2×#121—831no—
856C2×#121—831no—
857C2×#121—831no—
858C2×#121—831no—
859C2×#121—831no—
860C2×#120—831no—
861C2×#120—831no—
862C2×#120—831no—
863C2×C4×D4—831no—
864C2×#117—831no—
865C22×C4⋊C4C2×D8311yescharacteristic
866C22×C4⋊C4C2×D8311yescharacteristic
867C22×C22⋊C4C2×D8311yescharacteristic
868C22×C22⋊C4C2×D8311yescharacteristic
869#401—831no—
870#400—831no—
871#400—831no—
872#400—831no—
873#400—831no—
874#400—831no—
875#400—831no—
876#400—831no—
877#400—831no—
878#399—831no—
879#398—831no—
880#398—831no—
881#398—831no—
882#397—831no—
883#397—831no—
884#397—831no—
885#397—831no—
886#397—831no—
887#397—831no—
888#397—831no—
889#397—831no—
890#396—831no—
891#396—831no—
892#396—831no—
893#396—831no—
894#396—831no—
895#395—831no—
896#395—831no—
897#394—831no—
898#394—831no—
899#394—831no—
900#394—831no—
901#394—831no—
902#394—831no—
903#394—831no—
904#394—831no—
905#394—831no—
906#394—831no—
907#393—831no—
908#393—831no—
909#393—831no—
910#393—831no—
911#393—831no—
912#393—831no—
913#392—831no—
914#392—831no—
915#392—831no—
916#392—831no—
917#391—831no—
918#391—831no—
919#391—831no—
920#390—831no—
921#390—831no—
922#390—831no—
923#390—831no—
924#390—831no—
925#390—831no—
926#389—831no—
927#389—831no—
928#389—831no—
929#388—831no—
930#388—831no—
931#388—831no—
932#388—831no—
933#388—831no—
934#388—831no—
935#388—831no—
936#388—831no—
937#388—831no—
938#387—831no—
939#387—831no—
940#387—831no—
941#387—831no—
942#387—831no—
943#387—831no—
944#387—831no—
945#386—831no—
946#386—831no—
947#386—831no—
948#386—831no—
949#386—831no—
950#386—831no—
951#386—831no—
952#386—831no—
953#386—831no—
954#386—831no—
955#386—831no—
956#386—831no—
957#386—831no—
958#386—831no—
959#386—831no—
960#386—831no—
961#386—831no—
962#386—831no—
963#386—831no—
964#386—831no—
965#386—831no—
966#386—831no—
967#386—831no—
968#385—831no—
969#385—831no—
970#385—831no—
971#385—831no—
972#385—831no—
973#385—831no—
974#385—831no—
975#385—831no—
976#385—831no—
977#385—831no—
978#385—831no—
979#385C2×D8311yescharacteristic
980#385C2×D8311yescharacteristic
981#385C2×D8311yescharacteristic
982#385C2×D8311yescharacteristic
983#385C2×D8311yescharacteristic
984#385C2×D8311yescharacteristic
985#385C2×D8311yescharacteristic
986#385C2×D8311yescharacteristic
987#381—831no—
988#381—831no—
989#381—831no—
990#380—831no—
991#380—831no—
992#380—831no—
993#380—831no—
994#380—831no—
995#380—831no—
996#380—831no—
997#379—831no—
998C4×C22⋊C4—831no—
999C2×#95C2×D8311yescharacteristic
1000C2×#95C2×D8311yescharacteristic
1001C25C22×D8311yescharacteristic
1002C2×#41—3322no—
1003C2×#41—3322no—
1004C2×#41—1664no—
1005C22×Q8—831no—
1006C22×Q8—831no—
1007C22×D4—831no—
1008C22×D4—831no—
1009C22×D4—831no—
1010C22×D4—831no—
1011C22×D4—831no—
1012C22×D4—831no—
1013C22×D4—831no—
1014C22×D4—831no—
1015C22×D4—831no—
1016C22×D4—831no—
1017C22×D4—831no—
1018C22×D4—831no—
1019C23×C4—42no—
1020C23×C4—42no—
1021C23×C4—42no—
1022C23×C4—831no—
1023C23×C4—831no—
1024C23×C4—831no—
1025C23×C4C22×D8311yescharacteristic
1026C23×C4C22×D8311yescharacteristic
1027C23×C4C22×D8311yescharacteristic
1028C23×C4C22×D8311yescharacteristic
1029C23×C4C22×D8311yescharacteristic
1030C23×C4C22×D8311yescharacteristic
1031C23×C4C22×D8311yescharacteristic
1032C23×C4C22×D8311yescharacteristic
1033C23×C4C22×D8311yescharacteristic
1034C23×C4C22×D8311yescharacteristic
1035#126—3322no—
1036#124—3322no—
1037#123—3322no—
1038#123—3322no—
1039#123—3322no—
1040#123—1664no—
1041C22⋊Q8—3322no—
1042#121—3322no—
1043#121—3322no—
1044#121—3322no—
1045#121—3322no—
1046#121—3322no—
1047#120—3322no—
1048#120—3322no—
1049#120—3322no—
1050C4×D4—3322no—
1051#117—3322no—
1052C2×C4⋊C4—42no—
1053C2×C4⋊C4—42no—
1054C2×C4⋊C4—831no—
1055C2×C4⋊C4—831no—
1056C2×C4⋊C4—831no—
1057C2×C4⋊C4—831no—
1058C2×C4⋊C4—831no—
1059C2×C4⋊C4—831no—
1060C2×C4⋊C4—831no—
1061C2×C4⋊C4—831no—
1062C2×C4⋊C4—831no—
1063C2×C4⋊C4—831no—
1064C2×C4⋊C4—831no—
1065C2×C4⋊C4—831no—
1066C2×C4⋊C4—831no—
1067C2×C4⋊C4—831no—
1068C2×C4⋊C4—831no—
1069C2×C4⋊C4—831no—
1070C2×C4⋊C4—831no—
1071C2×C4⋊C4—831no—
1072C2×C4⋊C4—831no—
1073C2×C4⋊C4—831no—
1074C2×C4⋊C4C22×D8311yescharacteristic
1075C2×C4⋊C4C22×D8311yescharacteristic
1076C2×C4⋊C4C22×D8311yescharacteristic
1077C2×C4⋊C4C22×D8311yescharacteristic
1078C2×C4⋊C4C22×D8311yescharacteristic
1079C2×C4⋊C4C22×D8311yescharacteristic
1080C2×C4⋊C4C22×D8311yescharacteristic
1081C2×C4⋊C4C22×D8311yescharacteristic
1082C2×C22⋊C4—24no—
1083C2×C22⋊C4—42no—
1084C2×C22⋊C4—831no—
1085C2×C22⋊C4—831no—
1086C2×C22⋊C4—831no—
1087C2×C22⋊C4—831no—
1088C2×C22⋊C4—831no—
1089C2×C22⋊C4—831no—
1090C2×C22⋊C4—831no—
1091C2×C22⋊C4—831no—
1092C2×C22⋊C4—831no—
1093C2×C22⋊C4—831no—
1094C2×C22⋊C4—831no—
1095C2×C22⋊C4—831no—
1096C2×C22⋊C4—831no—
1097C2×C22⋊C4—831no—
1098C2×C22⋊C4—831no—
1099C2×C22⋊C4—831no—
1100C2×C22⋊C4—831no—
1101C2×C22⋊C4—831no—
1102C2×C22⋊C4—831no—
1103C2×C22⋊C4—831no—
1104C2×C22⋊C4—831no—
1105C2×C22⋊C4—831no—
1106C2×C22⋊C4—831no—
1107C2×C22⋊C4—831no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—831no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—831no—
1118C2×C22⋊C4—831no—
1119C2×C22⋊C4—831no—
1120C2×C22⋊C4—831no—
1121C2×C22⋊C4—831no—
1122C2×C22⋊C4—831no—
1123C2×C22⋊C4—831no—
1124C2×C22⋊C4—831no—
1125C2×C22⋊C4—831no—
1126C2×C22⋊C4C22×D8311yescharacteristic
1127C2×C22⋊C4C22×D8311yescharacteristic
1128C2×C22⋊C4C22×D8311yescharacteristic
1129C2×C22⋊C4C22×D8311yescharacteristic
1130C2×C22⋊C4C22×D8311yescharacteristic
1131C2×C22⋊C4C22×D8311yescharacteristic
1132C2×C22⋊C4C22×D8311yescharacteristic
1133C2×C22⋊C4C22×D8311yescharacteristic
1134C2×C42—831no—
1135C2×C42—831no—
1136C2×C42—831no—
1137C2×C42—831no—
1138C2×C42—831no—
1139#95—831no—
1140#95—831no—
1141#95—831no—
1142#95—831no—
1143#95—831no—
1144#95—831no—
1145#95—831no—
1146#95—831no—
1147#95—831no—
1148#95—831no—
1149#95—831no—
1150#95—831no—
1151#95—831no—
1152#95—831no—
1153#95—831no—
1154#95—831no—
1155#95—831no—
1156#95—831no—
1157#95—831no—
1158#95—831no—
1159#95—831no—
1160#95—831no—
1161#95—831no—
1162#95—831no—
1163#95—831no—
1164#95—831no—
1165#95—831no—
1166#95—831no—
1167#95—831no—
1168#95—831no—
1169#95—831no—
1170#95—831no—
1171#95—831no—
1172#95—831no—
1173#95—831no—
1174#95—831no—
1175#95C22×D8311yescharacteristic
1176#95C22×D8311yescharacteristic
1177#95C22×D8311yescharacteristic
1178#95C22×D8311yescharacteristic
1179#95C22×D8311yescharacteristic
1180#95C22×D8311yescharacteristic
1181#95C22×D8311yescharacteristic
1182#95C22×D8311yescharacteristic
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—831no—
1191C24—831no—
1192C24—831no—
1193C24C23×D8311yescharacteristic
1194C24C23×D8311yescharacteristic
1195C24C23×D8311yescharacteristic
1196#41—33216no—
1197C2×Q8—3321no—
1198C2×Q8—3321no—
1199C2×Q8—3321no—
1200C2×Q8—3321no—
1201C2×Q8—3321no—
1202C2×Q8—1662no—
1203C2×D4—3321no—
1204C2×D4—3321no—
1205C2×D4—3321no—
1206C2×D4—3321no—
1207C2×D4—3321no—
1208C2×D4—3321no—
1209C2×D4—3321no—
1210C2×D4—3321no—
1211C2×D4—3321no—
1212C2×D4—3321no—
1213C2×D4—3321no—
1214C2×D4—3321no—
1215C2×D4—3321no—
1216C2×D4—3321no—
1217C2×D4—3321no—
1218C2×D4—3321no—
1219C2×D4—3321no—
1220C2×D4—3321no—
1221C2×D4—3321no—
1222C2×D4—1662no—
1223C2×D4—1662no—
1224C2×D4—1662no—
1225C2×D4—1662no—
1226C2×D4—1662no—
1227C2×D4—1662no—
1228C2×D4—1662no—
1229C2×D4—1662no—
1230C2×D4—1662no—
1231C2×D4—1662no—
1232C2×D4—1662no—
1233C2×D4—1662no—
1234C2×D4—1662no—
1235C2×D4—1662no—
1236C2×D4—1662no—
1237C2×D4—1662no—
1238C2×D4—1662no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—416no—
1269C22×C4—3321no—
1270C22×C4—3321no—
1271C22×C4—3321no—
1272C22×C4—3321no—
1273C22×C4—3321no—
1274C22×C4—3321no—
1275C22×C4—3321no—
1276C22×C4—831no—
1277C22×C4—831no—
1278C22×C4—831no—
1279C22×C4—831no—
1280C22×C4—831no—
1281C22×C4—831no—
1282C22×C4—831no—
1283C22×C4—831no—
1284C22×C4—831no—
1285C22×C4—831no—
1286C22×C4—831no—
1287C22×C4—831no—
1288C22×C4—831no—
1289C22×C4—1662no—
1290C22×C4—1662no—
1291C22×C4#1305059014yes—
1292C22×C4C23×D8311yescharacteristic
1293C22×C4C23×D8311yescharacteristic
1294C22×C4C23×D8311yescharacteristic
1295C22×C4C23×D8311yescharacteristic
1296C22×C4C23×D8311yescharacteristic
1297C22×C4C23×D8311yescharacteristic
1298C22×C4C23×D8311yescharacteristic
1299C22×C4C23×D8311yescharacteristic
1300C22×C4C23×D8311yescharacteristic
1301C22×C4C23×D8311yescharacteristic
1302C22×C4C23×D8311yescharacteristic
1303C22×C4C23×D8311yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—3321no—
1313C4⋊C4—3321no—
1314C4⋊C4—3321no—
1315C4⋊C4—3321no—
1316C4⋊C4—3321no—
1317C4⋊C4—3321no—
1318C4⋊C4—3321no—
1319C4⋊C4—3321no—
1320C4⋊C4—3321no—
1321C4⋊C4—3321no—
1322C4⋊C4—3321no—
1323C4⋊C4—3321no—
1324C4⋊C4—3321no—
1325C4⋊C4—3321no—
1326C4⋊C4—3321no—
1327C4⋊C4—3321no—
1328C4⋊C4—1662no—
1329C4⋊C4—1662no—
1330C4⋊C4—1662no—
1331C4⋊C4—1662no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—3321no—
1341C22⋊C4—3321no—
1342C22⋊C4—3321no—
1343C22⋊C4—3321no—
1344C22⋊C4—3321no—
1345C22⋊C4—3321no—
1346C22⋊C4—3321no—
1347C22⋊C4—3321no—
1348C22⋊C4—3321no—
1349C22⋊C4—3321no—
1350C22⋊C4—3321no—
1351C22⋊C4—3321no—
1352C22⋊C4—3321no—
1353C22⋊C4—3321no—
1354C22⋊C4—3321no—
1355C22⋊C4—3321no—
1356C22⋊C4—3321no—
1357C22⋊C4—3321no—
1358C22⋊C4—3321no—
1359C22⋊C4—3321no—
1360C22⋊C4—3321no—
1361C22⋊C4—3321no—
1362C22⋊C4—3321no—
1363C22⋊C4—3321no—
1364C22⋊C4—3321no—
1365C22⋊C4—3321no—
1366C22⋊C4—3321no—
1367C22⋊C4—3321no—
1368C22⋊C4—3321no—
1369C22⋊C4—3321no—
1370C22⋊C4—3321no—
1371C22⋊C4—3321no—
1372C22⋊C4—1662no—
1373C22⋊C4—1662no—
1374C22⋊C4—1662no—
1375C22⋊C4—1662no—
1376C22⋊C4—1662no—
1377C22⋊C4—1662no—
1378C22⋊C4—1662no—
1379C22⋊C4—1662no—
1380C22⋊C4—1662no—
1381C22⋊C4—1662no—
1382C42—3321no—
1383C42—3321no—
1384C42—3321no—
1385C42—3321no—
1386C42—3321no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—44no—
1405C23—44no—
1406C23—44no—
1407C23—44no—
1408C23—44no—
1409C23—44no—
1410C23—1661no—
1411C23—1661no—
1412C23—1661no—
1413C23—1661no—
1414C23—1661no—
1415C23—1661no—
1416C23—1661no—
1417C23—1661no—
1418C23—1661no—
1419C23—1661no—
1420C23—1661no—
1421C23—1661no—
1422C23—1661no—
1423C23—1661no—
1424C23—1661no—
1425C23—1661no—
1426C23—1661no—
1427C23—1661no—
1428C23—1661no—
1429C23—1661no—
1430C23—1661no—
1431C23C2×#1305059012yes—
1432C23#1458183712yes—
1433C23#1458183712yes—
1434C23#1458183812yes—
1435C23#1458184012yes—
1436C23C24×D8311yescharacteristic
1437Q8—3324no—
1438Q8—6642no—
1439D4—3324no—
1440D4—3324no—
1441D4—3324no—
1442D4—3324no—
1443D4—6642no—
1444D4—6642no—
1445D4—6642no—
1446D4—6642no—
1447D4—6642no—
1448D4—6642no—
1449D4—6642no—
1450D4—6642no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—28no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—82no—
1493C2×C4—82no—
1494C2×C4—3324no—
1495C2×C4—3324no—
1496C2×C4—6642no—
1497C2×C4—1661no—
1498C2×C4—1661no—
1499C2×C4—1661no—
1500C2×C4—1661no—
1501C2×C4—1661no—
1502C2×C4—1661no—
1503C2×C4—1661no—
1504C2×C4—1661no—
1505C2×C4—1661no—
1506C2×C4—1661no—
1507C2×C4—1661no—
1508C2×C4—1661no—
1509C2×C4—1661no—
1510C2×C4—1661no—
1511C2×C4—1661no—
1512C2×C4—1661no—
1513C2×C4—1661no—
1514C2×C4—1661no—
1515C2×C4—1661no—
1516C2×C4—1661no—
1517C2×C4—1661no—
1518C2×C4—1661no—
1519C2×C4—1661no—
1520C2×C4—1661no—
1521C2×C4—1661no—
1522C2×C4—1661no—
1523C2×C4—1661no—
1524C2×C4—1661no—
1525C2×C4—1661no—
1526C2×C4—1661no—
1527C2×C4—1661no—
1528C2×C4—1661no—
1529C2×C4—1661no—
1530C2×C4—1661no—
1531C2×C4—1661no—
1532C2×C4—1661no—
1533C2×C4—1661no—
1534C2×C4—1661no—
1535C2×C4—1661no—
1536C2×C4C2×#1305059012yes—
1537C2×C4C2×#1305059012yes—
1538C2×C4#1458183712yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—3321no—
1561C22—3321no—
1562C22—3321no—
1563C22—3321no—
1564C22—3321no—
1565C22—3321no—
1566C22—3321no—
1567C22—3321no—
1568C22—3321no—
1569C22—3321no—
1570C22—3321no—
1571C22—3321no—
1572C22—3321no—
1573C22—3321no—
1574C22—3321no—
1575C22—3321no—
1576C22—3321no—
1577C22—3321no—
1578C22—3321no—
1579C22—3321no—
1580C22—3321no—
1581C22#1912828414yes—
1582C22C22×#1305059011yescharacteristic
1583C22C2×#1458183711yescharacteristic
1584C22C2×#1458183711yescharacteristic
1585C22C2×#1458183711yescharacteristic
1586C22C2×#1458183811yescharacteristic
1587C22C2×#1458184011yescharacteristic
1588C22#1912853711yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—3321no—
1602C4—3321no—
1603C4—3321no—
1604C4—3321no—
1605C4—3321no—
1606C4—3321no—
1607C4—3321no—
1608C4—3321no—
1609C4—3321no—
1610C4—3321no—
1611C4—3321no—
1612C4—3321no—
1613C4—3321no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—6641no—
1618C2—6641no—
1619C2—6641no—
1620C2C2×#1912828411yescharacteristic
1621C2#2492117211yescharacteristic
1622C2#2492131511yescharacteristic
1623C2#2492161811yescharacteristic
1624C2#2492165711yescharacteristic
1625C2#2492167211yescharacteristic
1626C2#2492169211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC2×#385×C83C2
hypercenterC2×#385D83
hypocenterC83#36791
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
1. #24915755C2semidirect
2. #24915745C2semidirect
3. #24915405C2semidirect
4. #24915324C2semidirect
5. #24915209C2semidirect
6. #24915162C2semidirect
7. #24915109C2semidirect
8. #24915075C2semidirect
9. #24914720C2semidirect
10. #24914705C2semidirect
11. #24914636C2semidirect
12. #24914260C2semidirect
13. #24914209C2semidirect
14. #24914185C2semidirect
15. #24914182C2semidirect
16. #24914002C2semidirect
17. #24913873C2semidirect
18. #24913829C2semidirect
19. #24913416C2semidirect
20. #24913391C2semidirect
21. #24911718C2semidirect
22. #24911583C2semidirect
23. #24911198C2semidirect
24. #24911139C2semidirect
25. #24911073C2semidirect
26. #24910999C2semidirect
27. #24910848C2semidirect
28. #24910782C2semidirect
29. #24910132C2semidirect
30. #24910056C2semidirect
31. C2×#385×C83C2semidirect
33. C2×#14581787C22semidirect
35. C2×#14581777C22semidirect
50. C83⋊#401C22semidirect
51. #19127643C22semidirect
52. #19127642C22semidirect
53. #19127642C22semidirect
54. #19127642C22semidirect
55. #19127641C22semidirect
56. #19127641C22semidirect
57. #19127640C22semidirect
58. #19127639C22semidirect
59. #19127636C22semidirect
60. #19127635C22semidirect
61. #19127634C22semidirect
62. #19127633C22semidirect
63. #19127630C22semidirect
64. #19127630C22semidirect
65. #19127630C22semidirect
67. #19127628C22semidirect
68. #19127628C22semidirect
69. #19127627C22semidirect
70. #19127627C22semidirect
71. #19127625C22semidirect
75. #19127623C22semidirect
76. #19127622C22semidirect
77. #19127622C22semidirect
78. #19127619C22semidirect
79. #19127619C22semidirect
80. #19127619C22semidirect
81. #19127618C22semidirect
88. #19127614C22semidirect
89. #19127614C22semidirect
90. #19127614C22semidirect
94. #19127611C22semidirect
98. #19127606C22semidirect
99. #19127606C22semidirect
100. #19127605C22semidirect
101. #19127602C22semidirect
102. #19127602C22semidirect
107. #19127598C22semidirect
108. #19127596C22semidirect
109. #19127596C22semidirect
114. #19127591C22semidirect
115. #19127591C22semidirect
116. #19127591C22semidirect
117. #19127591C22semidirect
119. #19127588C22semidirect
120. #19127587C22semidirect
121. #19127587C22semidirect
122. #19127584C22semidirect
123. #19127582C22semidirect
124. #19127582C22semidirect
125. #19127582C22semidirect
142. #19127579C22semidirect
143. #19127579C22semidirect
149. #19127575C22semidirect
150. #19127575C22semidirect
157. #19127572C22semidirect
158. #19127572C22semidirect
159. #19127572C22semidirect
166. #19127558C22semidirect
167. #19127558C22semidirect
168. #19127558C22semidirect
169. #19127558C22semidirect
844. C2×#385D83semidirect
845. C83#36791semidirect

Maximal subgroups

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

subgroupindex
#249157552
#249157452
#249154052
#249153242
#249152092
#249151622
#249151092
#249150752
#249147202
#249147052
#249146362
#249142602
#249142092
#249141852
#249141822
#249140022
#249138732
#249138292
#249134162
#249133912
#249117182
#249115832
#249111982
#249111392
#249110732
#249109992
#249108482
#249107822
#249101322
#249100562
C2×#385×C832
#3679183