Finite Group Databasebeta

← #35613201

Subgroups — #35613201

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#24915754C211yesmaximal, characteristic, complemented
2#24915744C211yesmaximal, characteristic, complemented
3#24915405C211yesmaximal, characteristic, complemented
4#24915206C211yesmaximal, characteristic, complemented
5#24915164C211yesmaximal, characteristic, complemented
6#24915108C211yesmaximal, characteristic, complemented
7#24915082C211yesmaximal, characteristic, complemented
8#24914719C211yesmaximal, characteristic, complemented
9#24914696C211yesmaximal, characteristic, complemented
10#24914629C211yesmaximal, characteristic, complemented
11#24914261C211yesmaximal, characteristic, complemented
12#24914212C211yesmaximal, characteristic, complemented
13#24914180C211yesmaximal, characteristic, complemented
14#24914174C211yesmaximal, characteristic, complemented
15#24913991C211yesmaximal, characteristic, complemented
16#24913862C211yesmaximal, characteristic, complemented
17#24913826C211yesmaximal, characteristic, complemented
18#24913415C211yesmaximal, characteristic, complemented
19#24913390C211yesmaximal, characteristic, complemented
20#24911719C211yesmaximal, characteristic, complemented
21#24911590C211yesmaximal, characteristic, complemented
22#24911205C211yesmaximal, characteristic, complemented
23#24911144C211yesmaximal, characteristic, complemented
24#24911068C211yesmaximal, characteristic, complemented
25#24911006C211yesmaximal, characteristic, complemented
26#24910847C211yesmaximal, characteristic, complemented
27#24910777C211yesmaximal, characteristic, complemented
28#24910136C211yesmaximal, characteristic, complemented
29#24910053C211yesmaximal, characteristic, complemented
30#385×D83C211yesmaximal, characteristic, complemented
31C83×#2797C211yesmaximal, characteristic, complemented
32C22×#13050589C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34C2×#14581785C2211yescharacteristic, complemented
35C2×#14581778C2211yescharacteristic
36C2×#14581777C2211yescharacteristic
37C2×#14581774C2211yescharacteristic
38C2×#14581774C2211yescharacteristic
39C2×#14581774C2211yescharacteristic, complemented
40C2×#14581772C2211yescharacteristic
41C2×#14581765C2211yescharacteristic
42C2×#14581765C2211yescharacteristic
43C2×#14581765C2211yescharacteristic
44C2×#14581765C2211yescharacteristic
45C2×#14581764C2211yescharacteristic
46C2×#14581762C2211yescharacteristic
47C2×#14581760C2211yescharacteristic
48C2×#14581760C2211yescharacteristic
49C2×C4×D332C2211yescharacteristic
50C2×#14581749C2211yescharacteristic
51C2×C4⋊C4×D83C2211yescharacteristic
52C2×C4⋊C4×D83C2211yescharacteristic
53C2×C22⋊C4×D83C2211yescharacteristic
54C2×C22⋊C4×D83C2211yescharacteristic
55C83⋊#401C2211yescharacteristic, complemented
56#19127643C2211yescharacteristic, complemented
57#19127643C2211yescharacteristic, complemented
58#19127643C2211yescharacteristic, complemented
59#19127642C2211yescharacteristic, complemented
60#19127642C2211yescharacteristic, complemented
61#19127641C2211yescharacteristic, complemented
62#19127640C2211yescharacteristic, complemented
63#19127639C2211yescharacteristic, complemented
64#19127637C2211yescharacteristic, complemented
65#19127635C2211yescharacteristic, complemented
66#19127634C2211yescharacteristic, complemented
67#19127633C2211yescharacteristic, complemented
68#19127630C2211yescharacteristic, complemented
69#19127629C2211yescharacteristic, complemented
70#19127628C2211yescharacteristic
71#19127627C2211yescharacteristic, complemented
72#19127626C2211yescharacteristic, complemented
73#19127625C2211yescharacteristic
74#19127624C2211yescharacteristic
75#19127624C2211yescharacteristic
76#19127624C2211yescharacteristic, complemented
77#19127624C2211yescharacteristic, complemented
78#19127621C2211yescharacteristic, complemented
79#19127621C2211yescharacteristic, complemented
80#19127619C2211yescharacteristic
81#19127618C2211yescharacteristic
82#19127617C2211yescharacteristic
83#19127617C2211yescharacteristic
84#19127617C2211yescharacteristic, complemented
85#19127617C2211yescharacteristic, complemented
86#19127617C2211yescharacteristic, complemented
87#19127616C2211yescharacteristic
88#19127614C2211yescharacteristic
89#19127614C2211yescharacteristic, complemented
90#19127614C2211yescharacteristic, complemented
91#19127613C2211yescharacteristic
92#19127613C2211yescharacteristic
93#19127613C2211yescharacteristic, complemented
94#19127609C2211yescharacteristic
95#19127609C2211yescharacteristic
96#19127609C2211yescharacteristic, complemented
97#19127607C2211yescharacteristic, complemented
98#19127606C2211yescharacteristic, complemented
99#19127605C2211yescharacteristic, complemented
100#19127604C2211yescharacteristic
101#19127604C2211yescharacteristic, complemented
102#19127603C2211yescharacteristic
103#19127601C2211yescharacteristic
104#19127600C2211yescharacteristic, complemented
105#19127599C2211yescharacteristic, complemented
106#19127598C2211yescharacteristic, complemented
107#19127594C2211yescharacteristic
108#19127593C2211yescharacteristic, complemented
109#19127592C2211yescharacteristic
110#19127591C2211yescharacteristic
111#19127591C2211yescharacteristic
112#19127590C2211yescharacteristic, complemented
113#19127589C2211yescharacteristic, complemented
114#19127588C2211yescharacteristic, complemented
115#19127585C2211yescharacteristic, complemented
116#19127585C2211yescharacteristic, complemented
117#19127584C2211yescharacteristic, complemented
118#19127584C2211yescharacteristic, complemented
119#19127581C2211yescharacteristic
120#19127581C2211yescharacteristic
121#19127581C2211yescharacteristic
122#19127580C2211yescharacteristic
123#19127579C2211yescharacteristic
124#19127579C2211yescharacteristic
125#19127579C2211yescharacteristic
126#19127578C2211yescharacteristic
127#19127578C2211yescharacteristic
128#19127578C2211yescharacteristic, complemented
129#19127578C2211yescharacteristic, complemented
130#19127577C2211yescharacteristic
131#19127577C2211yescharacteristic
132#19127577C2211yescharacteristic
133#19127577C2211yescharacteristic
134#19127577C2211yescharacteristic
135#19127577C2211yescharacteristic
136#19127577C2211yescharacteristic
137#19127577C2211yescharacteristic
138#19127577C2211yescharacteristic
139#19127577C2211yescharacteristic
140#19127576C2211yescharacteristic
141#19127576C2211yescharacteristic
142#19127575C2211yescharacteristic
143#19127575C2211yescharacteristic
144#19127575C2211yescharacteristic
145#19127575C2211yescharacteristic
146#19127575C2211yescharacteristic
147#19127575C2211yescharacteristic, complemented
148#19127574C2211yescharacteristic
149#19127574C2211yescharacteristic
150#19127573C2211yescharacteristic
151#19127573C2211yescharacteristic, complemented
152#19127573C2211yescharacteristic, complemented
153#19127572C2211yescharacteristic
154#19127572C2211yescharacteristic
155#19127572C2211yescharacteristic
156#19127572C2211yescharacteristic, complemented
157#19127572C2211yescharacteristic, complemented
158#19127563C2211yescharacteristic
159#19127563C2211yescharacteristic
160#19127563C2211yescharacteristic
161#19127560C2211yescharacteristic
162#19127560C2211yescharacteristic
163#19127559C2211yescharacteristic
164#19127559C2211yescharacteristic, complemented
165#19127559C2211yescharacteristic, complemented
166#19127559C2211yescharacteristic, complemented
167#19127559C2211yescharacteristic, complemented
168#19127556C2211yescharacteristic
169#19127548C2211yescharacteristic
170#95×D83C2211yescharacteristic
171#95×D83C2211yescharacteristic
172#397×C83C2211yescharacteristic, complemented
173#397×C83C2211yescharacteristic, complemented
174#397×C83C2211yescharacteristic, complemented
175#394×C83C2211yescharacteristic
176#394×C83C2211yescharacteristic, complemented
177#392×C83C2211yescharacteristic
178#390×C83C2211yescharacteristic
179#390×C83C2211yescharacteristic, complemented
180#388×C83C2211yescharacteristic
181#388×C83C2211yescharacteristic, complemented
182#387×C83C2211yescharacteristic, complemented
183#387×C83C2211yescharacteristic, complemented
184#386×C83C2211yescharacteristic
185#386×C83C2211yescharacteristic
186#385×C83C2211yescharacteristic
187C24×D83C2311yescharacteristic
188C2×#13050589—24no—
189C2×#13050589—42no—
190C2×#13050589—42no—
191C22×Dic166C2311yescharacteristic
192C22×Dic166C2311yescharacteristic
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
202C23×Dic83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C23×Dic83C2311yescharacteristic
205C22×C4×D83—42no—
206C22×C4×D83—42no—
207C22×C4×D83—42no—
208C22×C4×D83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217#14581785—42no—
218#14581778—42no—
219#14581777—24no—
220#14581774—42no—
221#14581774—42no—
222#14581774—42no—
223#14581772—42no—
224#14581765—42no—
225#14581765—42no—
226#14581765—42no—
227#14581765—42no—
228#14581764—42no—
229#14581762—42no—
230#14581760—42no—
231#14581760—42no—
232C4×D332—42no—
233#14581749—42no—
234C2×C4⋊Dic83C2311yescharacteristic
235C2×C4⋊Dic83C2311yescharacteristic
236C2×C4⋊Dic83C2311yescharacteristic
237C2×C4⋊Dic83C2311yescharacteristic
238C2×C4⋊Dic83C2311yescharacteristic
239C2×C4⋊Dic83C2311yescharacteristic
240C2×C4⋊Dic83C2311yescharacteristic
241C2×C4⋊Dic83C2311yescharacteristic
242C2×Dic83⋊C4C2311yescharacteristic
243C2×Dic83⋊C4C2311yescharacteristic
244C2×Dic83⋊C4C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×Dic83⋊C4C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C2×Dic83⋊C4C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×Dic83⋊C4C2311yescharacteristic
256C2×Dic83⋊C4C2311yescharacteristic
257C4⋊C4×D83—42no—
258C4⋊C4×D83—42no—
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×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C22⋊C4×D83—24no—
296C22⋊C4×D83—42no—
297C2×C4×Dic83C2311yescharacteristic
298C2×C4×Dic83C2311yescharacteristic
299C2×C4×Dic83C2311yescharacteristic
300C83⋊#95C2311yescharacteristic
301C83⋊#95C2311yescharacteristic
302C83⋊#95C2311yescharacteristic
303C83⋊#95C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C22×D4×C83C2311yescharacteristic
335C22×D4×C83C2311yescharacteristic
336C22×D4×C83C2311yescharacteristic
337C23×C4×C83C2311yescharacteristic
338C2×C4⋊C4×C83C2311yescharacteristic
339C2×C4⋊C4×C83C2311yescharacteristic
340C2×C4⋊C4×C83C2311yescharacteristic
341C2×C4⋊C4×C83C2311yescharacteristic
342C2×C4⋊C4×C83C2311yescharacteristic
343C2×C22⋊C4×C83C2311yescharacteristic
344C2×C22⋊C4×C83C2311yescharacteristic
345C2×C22⋊C4×C83C2311yescharacteristic
346C2×C22⋊C4×C83C2311yescharacteristic
347C2×C22⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C42×C83C2311yescharacteristic
358C2×C42×C83C2311yescharacteristic
359#95×C83C2311yescharacteristic
360#95×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×D83—22no—
370C23×D83—22no—
371C23×D83—22no—
372C23×D83—22no—
373C23×D83—22no—
374C23×D83—41no—
375C23×D83—41no—
376C23×D83C2411yescharacteristic
377C23×D83C2411yescharacteristic
378C23×D83C2411yescharacteristic
379#13050589—416no—
380C2×Dic166—22no—
381C2×Dic166—41no—
382C2×Dic166—41no—
383C2×Dic166—41no—
384C2×Dic166—41no—
385C2×Dic166—41no—
386C2×D332—22no—
387C2×D332—22no—
388C2×D332—22no—
389C2×D332—22no—
390C2×D332—41no—
391C2×D332—41no—
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—41no—
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—
413C22×Dic83—22no—
414C22×Dic83—22no—
415C22×Dic83—22no—
416C22×Dic83—41no—
417C22×Dic83—41no—
418C22×Dic83—41no—
419C22×Dic83—41no—
420C22×Dic83—41no—
421C22×Dic83—41no—
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C22×Dic83C2411yescharacteristic
429C22×Dic83C2411yescharacteristic
430C22×Dic83C2411yescharacteristic
431C22×Dic83C2411yescharacteristic
432C22×Dic83C2411yescharacteristic
433C22×Dic83C2411yescharacteristic
434C22×Dic83C2411yescharacteristic
435C2×C4×D83—22no—
436C2×C4×D83—22no—
437C2×C4×D83—22no—
438C2×C4×D83—22no—
439C2×C4×D83—22no—
440C2×C4×D83—22no—
441C2×C4×D83—22no—
442C2×C4×D83—22no—
443C2×C4×D83—22no—
444C2×C4×D83—22no—
445C2×C4×D83—22no—
446C2×C4×D83—41no—
447C2×C4×D83—41no—
448C2×C4×D83—41no—
449C2×C4×D83—41no—
450C2×C4×D83—41no—
451C2×C4×D83—41no—
452C2×C4×D83—41no—
453C2×C4×D83—41no—
454C2×C4×D83—416no—
455C2×C4×D83—41no—
456C2×C4×D83—41no—
457C2×C4×D83—41no—
458C2×C4×D83—41no—
459C2×C4×D83—41no—
460C2×C4×D83—41no—
461C2×C4×D83—41no—
462C2×C4×D83#4114yes—
463C4⋊Dic83—22no—
464C4⋊Dic83—22no—
465C4⋊Dic83—41no—
466C4⋊Dic83—41no—
467C4⋊Dic83—41no—
468C4⋊Dic83—41no—
469C4⋊Dic83—41no—
470C4⋊Dic83—41no—
471Dic83⋊C4—22no—
472Dic83⋊C4—22no—
473Dic83⋊C4—22no—
474Dic83⋊C4—41no—
475Dic83⋊C4—41no—
476Dic83⋊C4—41no—
477Dic83⋊C4—41no—
478Dic83⋊C4—41no—
479Dic83⋊C4—41no—
480Dic83⋊C4—41no—
481Dic83⋊C4—41no—
482Dic83⋊C4—41no—
483Dic83⋊C4—41no—
484Dic83⋊C4—41no—
485Dic83⋊C4—41no—
486C22⋊Dic83—22no—
487C22⋊Dic83—22no—
488C22⋊Dic83—41no—
489C22⋊Dic83—41no—
490C22⋊Dic83—41no—
491C22⋊Dic83—41no—
492C22⋊Dic83—41no—
493C22⋊Dic83—41no—
494C22⋊Dic83—41no—
495C22⋊Dic83—41no—
496C22⋊Dic83—41no—
497C22⋊Dic83—41no—
498C22⋊Dic83—41no—
499(C2×D83)⋊C4—22no—
500(C2×D83)⋊C4—22no—
501(C2×D83)⋊C4—22no—
502(C2×D83)⋊C4—22no—
503(C2×D83)⋊C4—22no—
504(C2×D83)⋊C4—22no—
505(C2×D83)⋊C4—22no—
506(C2×D83)⋊C4—22no—
507(C2×D83)⋊C4—22no—
508(C2×D83)⋊C4—22no—
509(C2×D83)⋊C4—22no—
510(C2×D83)⋊C4—22no—
511(C2×D83)⋊C4—41no—
512(C2×D83)⋊C4—41no—
513(C2×D83)⋊C4—41no—
514(C2×D83)⋊C4—41no—
515(C2×D83)⋊C4—41no—
516(C2×D83)⋊C4—41no—
517(C2×D83)⋊C4—41no—
518(C2×D83)⋊C4—41no—
519(C2×D83)⋊C4—41no—
520(C2×D83)⋊C4—41no—
521(C2×D83)⋊C4—41no—
522C4×Dic83—41no—
523C4×Dic83—41no—
524C4×Dic83—41no—
525C24×C83C2411yescharacteristic
526C24×C83C2411yescharacteristic
527C24×C83C2411yescharacteristic
528C2×D4×C83—22no—
529C2×D4×C83—22no—
530C2×D4×C83—22no—
531C2×D4×C83—41no—
532C2×D4×C83—41no—
533C2×D4×C83—41no—
534C2×D4×C83—41no—
535C2×D4×C83—41no—
536C2×D4×C83—41no—
537C22×C4×C83—41no—
538C22×C4×C83—41no—
539C22×C4×C83—41no—
540C22×C4×C83C2411yescharacteristic
541C22×C4×C83C2411yescharacteristic
542C22×C4×C83C2411yescharacteristic
543C22×C4×C83C2411yescharacteristic
544C22×C4×C83C2411yescharacteristic
545C22×C4×C83C2411yescharacteristic
546C22×C4×C83C2411yescharacteristic
547C22×C4×C83C2411yescharacteristic
548C22×C4×C83C2411yescharacteristic
549C22×C4×C83C2411yescharacteristic
550C22×C4×C83C2411yescharacteristic
551C22×C4×C83C2411yescharacteristic
552C4⋊C4×C83—22no—
553C4⋊C4×C83—41no—
554C4⋊C4×C83—41no—
555C4⋊C4×C83—41no—
556C4⋊C4×C83—41no—
557C22⋊C4×C83—22no—
558C22⋊C4×C83—22no—
559C22⋊C4×C83—41no—
560C22⋊C4×C83—41no—
561C22⋊C4×C83—41no—
562C22⋊C4×C83—41no—
563C22⋊C4×C83—41no—
564C22⋊C4×C83—41no—
565C22⋊C4×C83—41no—
566C22⋊C4×C83—41no—
567C22⋊C4×C83—41no—
568C22⋊C4×C83—41no—
569C22⋊C4×C83—41no—
570C22⋊C4×C83—41no—
571C42×C83—41no—
572C42×C83—41no—
573C23×C83—21no—
574C23×C83—21no—
575C23×C83—21no—
576C23×C83—21no—
577C23×C83—21no—
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—21no—
591C23×C83—21no—
592C23×C83—21no—
593C23×C832−1+412yes—
594C23×C83C2511yescharacteristic
595C22×D83—21no—
596C22×D83—21no—
597C22×D83—21no—
598C22×D83—21no—
599C22×D83—28no—
600C22×D83—21no—
601C22×D83—21no—
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—44no—
614C22×D83—44no—
615C22×D83—44no—
616C22×D83—44no—
617C22×D83—44no—
618C22×D83—44no—
619C22×D83C2×#4112yes—
620C22×D83H(5,𝔽2)12yes—
621C22×D83H(5,𝔽2)12yes—
622C22×D83H(5,𝔽2)12yes—
623D4×C83—44no—
624D4×C83—82no—
625D4×C83—82no—
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—21no—
658C2×C4×C83—21no—
659C2×C4×C83—21no—
660C2×C4×C83—21no—
661C2×C4×C83—44no—
662C2×C4×C83C2×#4112yes—
663C22⋊D83—44no—
664C22⋊D83—44no—
665C22⋊D83—82no—
666C22⋊D83—82no—
667C22⋊D83—82no—
668C22⋊D83—82no—
669C22⋊D83—82no—
670C2×Dic83—21no—
671C2×Dic83—21no—
672C2×Dic83—21no—
673C2×Dic83—21no—
674C2×Dic83—21no—
675C2×Dic83—21no—
676C2×Dic83—21no—
677C2×Dic83—21no—
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—44no—
708C2×Dic83—44no—
709C2×Dic83—44no—
710C2×Dic83C2×#4112yes—
711C2×Dic83H(5,𝔽2)12yes—
712D332—44no—
713D332—82no—
714C4×D83—28no—
715C4×D83—44no—
716C4×D83—44no—
717C4×D83—44no—
718C4×D83—44no—
719C4×D83—44no—
720C4×D83—82no—
721C4×D83—82no—
722C4×D83—82no—
723Dic166—44no—
724Dic166—82no—
725C22×C83—22no—
726C22×C83—22no—
727C22×C83—22no—
728C22×C83—41no—
729C22×C83—41no—
730C22×C83—41no—
731C22×C83—41no—
732C22×C83—41no—
733C22×C83—41no—
734C22×C83—41no—
735C22×C83—41no—
736C22×C83—41no—
737C22×C83—41no—
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×C83C22×#4111yescharacteristic
747C22×C83C2×H(5,𝔽2)11yescharacteristic
748C22×C83C2×H(5,𝔽2)11yescharacteristic
749C22×C83C2×H(5,𝔽2)11yescharacteristic
750C22×C83C2×H(5,𝔽2)11yescharacteristic
751C22×C83C2×2−1+411yescharacteristic
752C22×C83#58511yescharacteristic
753C2×D83—22no—
754C2×D83—22no—
755C2×D83—22no—
756C2×D83—22no—
757C2×D83—22no—
758C2×D83—22no—
759C2×D83—22no—
760C2×D83—22no—
761C2×D83—22no—
762C2×D83—416no—
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#53814yes—
775C4×C83—22no—
776C4×C83—41no—
777C4×C83—41no—
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—22no—
788Dic83—22no—
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—42no—
802C2×C83—81no—
803C2×C83—81no—
804C2×C83C2×#53811yescharacteristic
805C2×C83#349211yescharacteristic
806C2×C83#350611yescharacteristic
807C2×C83#353211yescharacteristic
808C2×C83#353411yescharacteristic
809C2×C83#353511yescharacteristic
810C2×C83#353611yescharacteristic
811D83—24no—
812D83—42no—
813D83—81no—
814#2849—831no—
815#2847—831no—
816#2804—831no—
817#2797D8311yescharacteristic, complemented
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×#385—831no—
845C83#3679111yescharacteristic, complemented, Sylow
846C22×#41—831no—
847C24×C4—831no—
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⋊C4—831no—
866C22×C4⋊C4—831no—
867C22×C22⋊C4—831no—
868C22×C22⋊C4—831no—
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#397C2×D8311yescharacteristic, complemented
888#397C2×D8311yescharacteristic, complemented
889#397C2×D8311yescharacteristic, complemented
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#394C2×D8311yescharacteristic
906#394C2×D8311yescharacteristic, complemented
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#392C2×D8311yescharacteristic
917#391—831no—
918#391—831no—
919#391—831no—
920#390—831no—
921#390—831no—
922#390—831no—
923#390—831no—
924#390C2×D8311yescharacteristic
925#390C2×D8311yescharacteristic, complemented
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#388C2×D8311yescharacteristic
937#388C2×D8311yescharacteristic, complemented
938#387—831no—
939#387—831no—
940#387—831no—
941#387—831no—
942#387—831no—
943#387C2×D8311yescharacteristic, complemented
944#387C2×D8311yescharacteristic, complemented
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#386C2×D8311yescharacteristic
967#386C2×D8311yescharacteristic
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#385—831no—
980#385—831no—
981#385—831no—
982#385—831no—
983#385—831no—
984#385—831no—
985#385—831no—
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×#95—831no—
1000C2×#95—831no—
1001C25—831no—
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×D4C22×D8311yescharacteristic
1017C22×D4C22×D8311yescharacteristic
1018C22×D4C22×D8311yescharacteristic
1019C23×C4—3322no—
1020C23×C4—3322no—
1021C23×C4—3322no—
1022C23×C4—831no—
1023C23×C4—831no—
1024C23×C4—831no—
1025C23×C4—831no—
1026C23×C4—831no—
1027C23×C4—831no—
1028C23×C4—831no—
1029C23×C4—831no—
1030C23×C4—831no—
1031C23×C4—831no—
1032C23×C4—831no—
1033C23×C4—831no—
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—3322no—
1053C2×C4⋊C4—3322no—
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⋊C4—831no—
1075C2×C4⋊C4—831no—
1076C2×C4⋊C4—831no—
1077C2×C4⋊C4C22×D8311yescharacteristic
1078C2×C4⋊C4C22×D8311yescharacteristic
1079C2×C4⋊C4C22×D8311yescharacteristic
1080C2×C4⋊C4C22×D8311yescharacteristic
1081C2×C4⋊C4C22×D8311yescharacteristic
1082C2×C22⋊C4—3322no—
1083C2×C22⋊C4—831no—
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—1664no—
1120C2×C22⋊C4C22×D8311yescharacteristic
1121C2×C22⋊C4C22×D8311yescharacteristic
1122C2×C22⋊C4C22×D8311yescharacteristic
1123C2×C22⋊C4C22×D8311yescharacteristic
1124C2×C22⋊C4C22×D8311yescharacteristic
1125C2×C22⋊C4C22×D8311yescharacteristic
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×C42C22×D8311yescharacteristic
1138C2×C42C22×D8311yescharacteristic
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#95C22×D8311yescharacteristic
1174#95C22×D8311yescharacteristic
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—3321no—
1184C24—3321no—
1185C24—831no—
1186C24—831no—
1187C24—831no—
1188C24—1662no—
1189C24—1662no—
1190C24—1662no—
1191C24—1662no—
1192C24—1662no—
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—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
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—3321no—
1223C2×D4—3321no—
1224C2×D4—3321no—
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—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—3321no—
1243C22×C4—3321no—
1244C22×C4—3321no—
1245C22×C4—3321no—
1246C22×C4—3321no—
1247C22×C4—3321no—
1248C22×C4—3321no—
1249C22×C4—3321no—
1250C22×C4—3321no—
1251C22×C4—3321no—
1252C22×C4—3321no—
1253C22×C4—3321no—
1254C22×C4—3321no—
1255C22×C4—3321no—
1256C22×C4—3321no—
1257C22×C4—33216no—
1258C22×C4—3321no—
1259C22×C4—3321no—
1260C22×C4—3321no—
1261C22×C4—3321no—
1262C22×C4—3321no—
1263C22×C4—3321no—
1264C22×C4—831no—
1265C22×C4—831no—
1266C22×C4—834no—
1267C22×C4—831no—
1268C22×C4—831no—
1269C22×C4—831no—
1270C22×C4—831no—
1271C22×C4—831no—
1272C22×C4—831no—
1273C22×C4—831no—
1274C22×C4—831no—
1275C22×C4—831no—
1276C22×C4—831no—
1277C22×C4—831no—
1278C22×C4—1662no—
1279C22×C4—1662no—
1280C22×C4—1662no—
1281C22×C4—1662no—
1282C22×C4—1662no—
1283C22×C4—1662no—
1284C22×C4—1662no—
1285C22×C4—1662no—
1286C22×C4—1662no—
1287C22×C4—1662no—
1288C22×C4—1662no—
1289C22×C4—1662no—
1290C22×C4—1662no—
1291C22×C4—1662no—
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—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—3321no—
1310C4⋊C4—3321no—
1311C4⋊C4—3321no—
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—1662no—
1328C4⋊C4—1662no—
1329C4⋊C4—1662no—
1330C4⋊C4—1662no—
1331C4⋊C4—1662no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
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—1662no—
1369C22⋊C4—1662no—
1370C22⋊C4—1662no—
1371C22⋊C4—1662no—
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—41no—
1383C42—41no—
1384C42—3321no—
1385C42—3321no—
1386C42—3321no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
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—21no—
1405C23—21no—
1406C23—21no—
1407C23—3324no—
1408C23—3324no—
1409C23—3324no—
1410C23—3324no—
1411C23—3324no—
1412C23—3324no—
1413C23—832no—
1414C23—832no—
1415C23—832no—
1416C23—832no—
1417C23—1668no—
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—
1431C23—1661no—
1432C23—1661no—
1433C23—1661no—
1434C23—1661no—
1435C23#1458183912yes—
1436C23C24×D8311yescharacteristic
1437Q8—3324no—
1438Q8—6642no—
1439D4—44no—
1440D4—82no—
1441D4—82no—
1442D4—3324no—
1443D4—3324no—
1444D4—3324no—
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—21no—
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—21no—
1486C2×C4—44no—
1487C2×C4—3324no—
1488C2×C4—3324no—
1489C2×C4—3324no—
1490C2×C4—3324no—
1491C2×C4—3324no—
1492C2×C4—3324no—
1493C2×C4—3324no—
1494C2×C4—3324no—
1495C2×C4—832no—
1496C2×C4—832no—
1497C2×C4—6642no—
1498C2×C4—6642no—
1499C2×C4—6642no—
1500C2×C4—1668no—
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×C4—1661no—
1537C2×C4—1661no—
1538C2×C4#41×D8312yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—33216no—
1561C22—3321no—
1562C22—3321no—
1563C22—3321no—
1564C22—3321no—
1565C22—3321no—
1566C22—3321no—
1567C22—3321no—
1568C22—3321no—
1569C22—3321no—
1570C22—3321no—
1571C22—3321no—
1572C22—834no—
1573C22—1662no—
1574C22—1662no—
1575C22—1662no—
1576C22—1662no—
1577C22—1662no—
1578C22—1662no—
1579C22—1662no—
1580C22—1662no—
1581C22—1662no—
1582C22C2×#41×D8311yescharacteristic
1583C22H(5,𝔽2)×D8311yescharacteristic
1584C22H(5,𝔽2)×D8311yescharacteristic
1585C22H(5,𝔽2)×D8311yescharacteristic
1586C22H(5,𝔽2)×D8311yescharacteristic
1587C22C2×#1458183911yescharacteristic
1588C22#1912853711yescharacteristic
1589C4—22no—
1590C4—41no—
1591C4—41no—
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—1662no—
1613C4—1662no—
1614C2—42no—
1615C2—81no—
1616C2—81no—
1617C2—3322no—
1618C2—6641no—
1619C2—1664no—
1620C2#538×D8311yescharacteristic
1621C2#2492116711yescharacteristic
1622C2#2492131111yescharacteristic
1623C2#2492161611yescharacteristic
1624C2#2492164611yescharacteristic
1625C2#2492165911yescharacteristic
1626C2#2492168411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2797C2
hypercenter#2797D83
hypocenterC83#36791
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2797

Complements

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

NH ≅ G/Ntype
1. #24915754C2semidirect
2. #24915744C2semidirect
3. #24915405C2semidirect
4. #24915206C2semidirect
5. #24915164C2semidirect
6. #24915108C2semidirect
7. #24915082C2semidirect
8. #24914719C2semidirect
9. #24914696C2semidirect
10. #24914629C2semidirect
11. #24914261C2semidirect
12. #24914212C2semidirect
13. #24914180C2semidirect
14. #24914174C2semidirect
15. #24913991C2semidirect
16. #24913862C2semidirect
17. #24913826C2semidirect
18. #24913415C2semidirect
19. #24913390C2semidirect
20. #24911719C2semidirect
21. #24911590C2semidirect
22. #24911205C2semidirect
23. #24911144C2semidirect
24. #24911068C2semidirect
25. #24911006C2semidirect
26. #24910847C2semidirect
27. #24910777C2semidirect
28. #24910136C2semidirect
29. #24910053C2semidirect
30. #385×D83C2semidirect
31. C83×#2797C2semidirect
34. C2×#14581785C22semidirect
39. C2×#14581774C22semidirect
55. C83⋊#401C22semidirect
56. #19127643C22semidirect
57. #19127643C22semidirect
58. #19127643C22semidirect
59. #19127642C22semidirect
60. #19127642C22semidirect
61. #19127641C22semidirect
62. #19127640C22semidirect
63. #19127639C22semidirect
64. #19127637C22semidirect
65. #19127635C22semidirect
66. #19127634C22semidirect
67. #19127633C22semidirect
68. #19127630C22semidirect
69. #19127629C22semidirect
71. #19127627C22semidirect
72. #19127626C22semidirect
76. #19127624C22semidirect
77. #19127624C22semidirect
78. #19127621C22semidirect
79. #19127621C22semidirect
84. #19127617C22semidirect
85. #19127617C22semidirect
86. #19127617C22semidirect
89. #19127614C22semidirect
90. #19127614C22semidirect
93. #19127613C22semidirect
96. #19127609C22semidirect
97. #19127607C22semidirect
98. #19127606C22semidirect
99. #19127605C22semidirect
101. #19127604C22semidirect
104. #19127600C22semidirect
105. #19127599C22semidirect
106. #19127598C22semidirect
108. #19127593C22semidirect
112. #19127590C22semidirect
113. #19127589C22semidirect
114. #19127588C22semidirect
115. #19127585C22semidirect
116. #19127585C22semidirect
117. #19127584C22semidirect
118. #19127584C22semidirect
128. #19127578C22semidirect
129. #19127578C22semidirect
147. #19127575C22semidirect
151. #19127573C22semidirect
152. #19127573C22semidirect
156. #19127572C22semidirect
157. #19127572C22semidirect
164. #19127559C22semidirect
165. #19127559C22semidirect
166. #19127559C22semidirect
167. #19127559C22semidirect
172. #397×C83C22semidirect
173. #397×C83C22semidirect
174. #397×C83C22semidirect
176. #394×C83C22semidirect
179. #390×C83C22semidirect
181. #388×C83C22semidirect
182. #387×C83C22semidirect
183. #387×C83C22semidirect
817. #2797D83semidirect
845. C83#36791semidirect
887. #397C2×D83semidirect
888. #397C2×D83semidirect
889. #397C2×D83semidirect
906. #394C2×D83semidirect
925. #390C2×D83semidirect
937. #388C2×D83semidirect
943. #387C2×D83semidirect
944. #387C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157542
#249157442
#249154052
#249152062
#249151642
#249151082
#249150822
#249147192
#249146962
#249146292
#249142612
#249142122
#249141802
#249141742
#249139912
#249138622
#249138262
#249134152
#249133902
#249117192
#249115902
#249112052
#249111442
#249110682
#249110062
#249108472
#249107772
#249101362
#249100532
#385×D832
C83×#27972
#3679183