Finite Group Databasebeta

← #35612264

Subgroups — #35612264

Order 21248.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915749C211yesmaximal, characteristic, complemented
2#24915742C211yesmaximal, characteristic, complemented
3#24915327C211yesmaximal, characteristic, complemented
4#24915129C211yesmaximal, characteristic, complemented
5#24915096C211yesmaximal, characteristic, complemented
6#24915078C211yesmaximal, characteristic, complemented
7#24915074C211yesmaximal, characteristic, complemented
8#24914785C211yesmaximal, characteristic, complemented
9#24914747C211yesmaximal, characteristic, complemented
10#24914684C211yesmaximal, characteristic, complemented
11#24914572C211yesmaximal, characteristic, complemented
12#24914455C211yesmaximal, characteristic, complemented
13#24914113C211yesmaximal, characteristic, complemented
14#24914085C211yesmaximal, characteristic, complemented
15#24914012C211yesmaximal, characteristic, complemented
16#24913893C211yesmaximal, characteristic, complemented
17#24913766C211yesmaximal, characteristic, complemented
18#24913174C211yesmaximal, characteristic, complemented
19#24913174C211yesmaximal, characteristic, complemented
20#24911847C211yesmaximal, characteristic, complemented
21#24911794C211yesmaximal, characteristic, complemented
22#24911705C211yesmaximal, characteristic, complemented
23#24911595C211yesmaximal, characteristic, complemented
24#24911015C211yesmaximal, characteristic, complemented
25#24911002C211yesmaximal, characteristic, complemented
26#24910935C211yesmaximal, characteristic, complemented
27#24910918C211yesmaximal, characteristic, complemented
28#24910122C211yesmaximal, characteristic, complemented
29#24910122C211yesmaximal, characteristic, complemented
30#386×D83C211yesmaximal, characteristic, complemented
31C83×#2714C211yesmaximal, characteristic, complemented
32C22×D4×D83C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34C2×#14581778C2211yescharacteristic, complemented
35C2×#14581774C2211yescharacteristic
36C2×#14581774C2211yescharacteristic
37C2×#14581773C2211yescharacteristic, complemented
38C2×#14581770C2211yescharacteristic
39C2×#14581770C2211yescharacteristic, complemented
40C2×#14581769C2211yescharacteristic, complemented
41C2×#14581764C2211yescharacteristic, complemented
42C2×#14581763C2211yescharacteristic
43C2×#14581763C2211yescharacteristic, complemented
44C2×#14581760C2211yescharacteristic
45C2×#14581760C2211yescharacteristic
46C2×#14581760C2211yescharacteristic
47C2×#14581760C2211yescharacteristic
48C2×(C22⋊D83)⋊C4C2211yescharacteristic
49C2×(C22⋊D83)⋊C4C2211yescharacteristic
50C2×C22⋊C4×D83C2211yescharacteristic
51C2×C22⋊C4×D83C2211yescharacteristic
52C2×C22⋊C4×D83C2211yescharacteristic
53C83⋊#401C2211yescharacteristic, complemented
54#19127643C2211yescharacteristic, complemented
55#19127642C2211yescharacteristic, complemented
56#19127642C2211yescharacteristic, complemented
57#19127641C2211yescharacteristic, complemented
58#19127640C2211yescharacteristic, complemented
59#19127639C2211yescharacteristic, complemented
60#19127636C2211yescharacteristic, complemented
61#19127635C2211yescharacteristic, complemented
62#19127634C2211yescharacteristic, complemented
63#19127629C2211yescharacteristic, complemented
64#19127629C2211yescharacteristic, complemented
65#19127629C2211yescharacteristic, complemented
66#19127629C2211yescharacteristic, complemented
67#19127629C2211yescharacteristic, complemented
68#19127627C2211yescharacteristic, complemented
69#19127627C2211yescharacteristic, complemented
70#19127626C2211yescharacteristic, complemented
71#19127624C2211yescharacteristic, complemented
72#19127624C2211yescharacteristic, complemented
73#19127623C2211yescharacteristic, complemented
74#19127619C2211yescharacteristic
75#19127619C2211yescharacteristic
76#19127617C2211yescharacteristic
77#19127617C2211yescharacteristic
78#19127617C2211yescharacteristic
79#19127617C2211yescharacteristic
80#19127617C2211yescharacteristic, complemented
81#19127616C2211yescharacteristic, complemented
82#19127616C2211yescharacteristic, complemented
83#19127616C2211yescharacteristic, complemented
84#19127615C2211yescharacteristic
85#19127615C2211yescharacteristic
86#19127615C2211yescharacteristic, complemented
87#19127613C2211yescharacteristic, complemented
88#19127613C2211yescharacteristic, complemented
89#19127610C2211yescharacteristic
90#19127610C2211yescharacteristic
91#19127609C2211yescharacteristic
92#19127609C2211yescharacteristic
93#19127609C2211yescharacteristic
94#19127609C2211yescharacteristic
95#19127607C2211yescharacteristic, complemented
96#19127604C2211yescharacteristic, complemented
97#19127601C2211yescharacteristic, complemented
98#19127601C2211yescharacteristic, complemented
99#19127600C2211yescharacteristic, complemented
100#19127595C2211yescharacteristic, complemented
101#19127595C2211yescharacteristic, complemented
102#19127595C2211yescharacteristic, complemented
103#19127595C2211yescharacteristic, complemented
104#19127595C2211yescharacteristic, complemented
105#19127594C2211yescharacteristic, complemented
106#19127593C2211yescharacteristic, complemented
107#19127592C2211yescharacteristic, complemented
108#19127592C2211yescharacteristic, complemented
109#19127592C2211yescharacteristic, complemented
110#19127592C2211yescharacteristic, complemented
111#19127591C2211yescharacteristic, complemented
112#19127591C2211yescharacteristic, complemented
113#19127591C2211yescharacteristic, complemented
114#19127590C2211yescharacteristic, complemented
115#19127589C2211yescharacteristic, complemented
116#19127589C2211yescharacteristic, complemented
117#19127589C2211yescharacteristic, complemented
118#19127588C2211yescharacteristic, complemented
119#19127588C2211yescharacteristic, complemented
120#19127587C2211yescharacteristic, complemented
121#19127583C2211yescharacteristic, complemented
122#19127581C2211yescharacteristic
123#19127581C2211yescharacteristic, complemented
124#19127581C2211yescharacteristic, complemented
125#19127581C2211yescharacteristic, complemented
126#19127581C2211yescharacteristic, complemented
127#19127581C2211yescharacteristic, complemented
128#19127581C2211yescharacteristic, complemented
129#19127580C2211yescharacteristic
130#19127579C2211yescharacteristic
131#19127579C2211yescharacteristic
132#19127578C2211yescharacteristic
133#19127578C2211yescharacteristic, complemented
134#19127578C2211yescharacteristic, complemented
135#19127578C2211yescharacteristic, complemented
136#19127577C2211yescharacteristic
137#19127577C2211yescharacteristic
138#19127577C2211yescharacteristic
139#19127577C2211yescharacteristic
140#19127577C2211yescharacteristic
141#19127577C2211yescharacteristic
142#19127577C2211yescharacteristic, complemented
143#19127577C2211yescharacteristic, complemented
144#19127575C2211yescharacteristic
145#19127575C2211yescharacteristic, complemented
146#19127574C2211yescharacteristic, complemented
147#19127573C2211yescharacteristic, complemented
148#19127572C2211yescharacteristic
149#19127572C2211yescharacteristic
150#19127572C2211yescharacteristic
151#19127572C2211yescharacteristic, complemented
152#19127569C2211yescharacteristic, complemented
153#19127565C2211yescharacteristic, complemented
154#19127563C2211yescharacteristic
155#19127563C2211yescharacteristic
156#19127562C2211yescharacteristic, complemented
157#19127561C2211yescharacteristic, complemented
158#19127560C2211yescharacteristic
159#19127560C2211yescharacteristic, complemented
160#19127559C2211yescharacteristic, complemented
161#19127559C2211yescharacteristic, complemented
162#19127558C2211yescharacteristic
163#19127558C2211yescharacteristic, complemented
164#19127556C2211yescharacteristic
165#19127556C2211yescharacteristic
166#19127556C2211yescharacteristic
167#19127556C2211yescharacteristic
168C4×(C2×D83)⋊C4C2211yescharacteristic
169C4×(C2×D83)⋊C4C2211yescharacteristic
170#95×D83C2211yescharacteristic
171#95×D83C2211yescharacteristic
172C2×#126×C83C2211yescharacteristic, complemented
173C2×#121×C83C2211yescharacteristic, complemented
174#397×C83C2211yescharacteristic, complemented
175#394×C83C2211yescharacteristic, complemented
176#394×C83C2211yescharacteristic, complemented
177#392×C83C2211yescharacteristic
178#392×C83C2211yescharacteristic
179#392×C83C2211yescharacteristic, complemented
180#390×C83C2211yescharacteristic, complemented
181#390×C83C2211yescharacteristic, complemented
182#390×C83C2211yescharacteristic, complemented
183#388×C83C2211yescharacteristic, complemented
184#387×C83C2211yescharacteristic, complemented
185#386×C83C2211yescharacteristic
186#385×C83C2211yescharacteristic, complemented
187C24×D83C2311yescharacteristic
188C24×D83C2311yescharacteristic
189C22×Dic166C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C2×D4×D83—24no—
200C2×D4×D83—42no—
201C2×D4×D83—42no—
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
215#14581778—42no—
216#14581774—42no—
217#14581774—42no—
218#14581773—42no—
219#14581770—42no—
220#14581770—42no—
221#14581769—42no—
222#14581764—42no—
223#14581763—42no—
224#14581763—42no—
225#14581760—24no—
226#14581760—24no—
227#14581760—42no—
228#14581760—42no—
229(C22⋊D83)⋊C4—42no—
230(C22⋊D83)⋊C4—42no—
231C2×C4⋊Dic83C2311yescharacteristic
232C2×C4⋊Dic83C2311yescharacteristic
233C2×C4⋊Dic83C2311yescharacteristic
234C2×C4⋊Dic83C2311yescharacteristic
235C2×C4⋊Dic83C2311yescharacteristic
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×Dic83⋊C4C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
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×C22⋊Dic83C2311yescharacteristic
260C2×C22⋊Dic83C2311yescharacteristic
261C2×C22⋊Dic83C2311yescharacteristic
262C2×C22⋊Dic83C2311yescharacteristic
263C2×C22⋊Dic83C2311yescharacteristic
264C2×C22⋊Dic83C2311yescharacteristic
265C2×C22⋊Dic83C2311yescharacteristic
266C2×C22⋊Dic83C2311yescharacteristic
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×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C22⋊C4×D83—42no—
292C22⋊C4×D83—42no—
293C22⋊C4×D83—42no—
294C2×C4×Dic83C2311yescharacteristic
295C2×C4×Dic83C2311yescharacteristic
296C2×C4×Dic83C2311yescharacteristic
297C2×C4×Dic83C2311yescharacteristic
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
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C22×D4×C83C2311yescharacteristic
333C22×D4×C83C2311yescharacteristic
334C22×D4×C83C2311yescharacteristic
335C22×D4×C83C2311yescharacteristic
336C22×D4×C83C2311yescharacteristic
337C22×D4×C83C2311yescharacteristic
338C23×C4×C83C2311yescharacteristic
339#126×C83—42no—
340#121×C83—42no—
341C2×C4⋊C4×C83C2311yescharacteristic
342C2×C4⋊C4×C83C2311yescharacteristic
343C2×C4⋊C4×C83C2311yescharacteristic
344C2×C4⋊C4×C83C2311yescharacteristic
345C2×C4⋊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×C22⋊C4×C83C2311yescharacteristic
358C2×C22⋊C4×C83C2311yescharacteristic
359C2×C22⋊C4×C83C2311yescharacteristic
360C2×C22⋊C4×C83C2311yescharacteristic
361C2×C42×C83C2311yescharacteristic
362C2×C42×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×D83—41no—
377C23×D83—41no—
378C23×D83—41no—
379C23×D83—41no—
380C23×D83—41no—
381C23×D83—41no—
382C23×D83#4114yes—
383C23×D83C2411yescharacteristic
384C23×D83C2411yescharacteristic
385C23×D83C2411yescharacteristic
386C2×Dic166—22no—
387C2×Dic166—41no—
388C2×Dic166—41no—
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—
413C2×C22⋊D83—41no—
414C2×C22⋊D83—41no—
415C2×C22⋊D83—41no—
416D4×D83—416no—
417C22×Dic83—22no—
418C22×Dic83—41no—
419C22×Dic83—41no—
420C22×Dic83—41no—
421C22×Dic83—41no—
422C22×Dic83—41no—
423C22×Dic83—41no—
424C22×Dic83—41no—
425C22×Dic83—41no—
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C22×Dic83C2411yescharacteristic
429C22×Dic83C2411yescharacteristic
430C22×Dic83C2411yescharacteristic
431C22×Dic83C2411yescharacteristic
432C22×Dic83C2411yescharacteristic
433C22×Dic83C2411yescharacteristic
434C22×Dic83C2411yescharacteristic
435C22×Dic83C2411yescharacteristic
436C22×Dic83C2411yescharacteristic
437C22×Dic83C2411yescharacteristic
438C22×Dic83C2411yescharacteristic
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—22no—
447C2×C4×D83—22no—
448C2×C4×D83—22no—
449C2×C4×D83—22no—
450C2×C4×D83—41no—
451C2×C4×D83—41no—
452C2×C4×D83—41no—
453C2×C4×D83—41no—
454C2×C4×D83—41no—
455C2×C4×D83—41no—
456C2×C4×D83—416no—
457C2×C4×D83—41no—
458C2×C4×D83—41no—
459C2×C4×D83—41no—
460C2×C4×D83—41no—
461C4⋊Dic83—41no—
462C4⋊Dic83—41no—
463C4⋊Dic83—41no—
464C4⋊Dic83—41no—
465C4⋊Dic83—41no—
466Dic83⋊C4—22no—
467Dic83⋊C4—22no—
468Dic83⋊C4—41no—
469Dic83⋊C4—41no—
470Dic83⋊C4—41no—
471Dic83⋊C4—41no—
472Dic83⋊C4—41no—
473Dic83⋊C4—41no—
474Dic83⋊C4—41no—
475Dic83⋊C4—41no—
476Dic83⋊C4—41no—
477Dic83⋊C4—41no—
478C22⋊Dic83—22no—
479C22⋊Dic83—22no—
480C22⋊Dic83—22no—
481C22⋊Dic83—22no—
482C22⋊Dic83—22no—
483C22⋊Dic83—41no—
484C22⋊Dic83—41no—
485C22⋊Dic83—41no—
486C22⋊Dic83—41no—
487C22⋊Dic83—41no—
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—
497(C2×D83)⋊C4—22no—
498(C2×D83)⋊C4—22no—
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—41no—
508(C2×D83)⋊C4—41no—
509(C2×D83)⋊C4—41no—
510(C2×D83)⋊C4—41no—
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—
521C4×Dic83—41no—
522C4×Dic83—41no—
523C4×Dic83—41no—
524C4×Dic83—41no—
525C24×C83C2411yescharacteristic
526C24×C83C2411yescharacteristic
527C24×C83C2411yescharacteristic
528C24×C83C2411yescharacteristic
529C2×D4×C83—22no—
530C2×D4×C83—22no—
531C2×D4×C83—22no—
532C2×D4×C83—22no—
533C2×D4×C83—41no—
534C2×D4×C83—41no—
535C2×D4×C83—41no—
536C2×D4×C83—41no—
537C2×D4×C83—41no—
538C2×D4×C83—41no—
539C2×D4×C83—41no—
540C2×D4×C83—41no—
541C2×D4×C83—41no—
542C2×D4×C83—41no—
543C2×D4×C83—41no—
544C2×D4×C83—41no—
545C2×D4×C83—41no—
546C2×D4×C83—41no—
547C22×C4×C83—22no—
548C22×C4×C83—41no—
549C22×C4×C83—41no—
550C22×C4×C83C2411yescharacteristic
551C22×C4×C83C2411yescharacteristic
552C22×C4×C83C2411yescharacteristic
553C22×C4×C83C2411yescharacteristic
554C22×C4×C83C2411yescharacteristic
555C22×C4×C83C2411yescharacteristic
556C22×C4×C83C2411yescharacteristic
557C22×C4×C83C2411yescharacteristic
558C22×C4×C83C2411yescharacteristic
559C22×C4×C83C2411yescharacteristic
560C22×C4×C83C2411yescharacteristic
561C4⋊C4×C83—22no—
562C4⋊C4×C83—22no—
563C4⋊C4×C83—41no—
564C4⋊C4×C83—41no—
565C4⋊C4×C83—41no—
566C22⋊C4×C83—22no—
567C22⋊C4×C83—41no—
568C22⋊C4×C83—41no—
569C22⋊C4×C83—41no—
570C22⋊C4×C83—41no—
571C22⋊C4×C83—41no—
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×C83—41no—
579C22⋊C4×C83—41no—
580C22⋊C4×C83—41no—
581C42×C83—41no—
582C42×C83—41no—
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×C83—21no—
594C23×C83—21no—
595C23×C83—21no—
596C23×C83—21no—
597C23×C83—21no—
598C23×C83—21no—
599C23×C83—21no—
600C23×C83—21no—
601C23×C83—21no—
602C23×C83—21no—
603C23×C83—21no—
604C23×C83—21no—
605C23×C83—21no—
606C23×C83—21no—
607C23×C83—21no—
608C23×C83—21no—
609C23×C83—21no—
610C23×C83C2×#4112yes—
611C23×C83C2511yescharacteristic
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—28no—
623C22×D83—21no—
624C22×D83—21no—
625C22×D83—21no—
626C22×D83—21no—
627C22×D83—21no—
628C22×D83—21no—
629C22×D83—21no—
630C22×D83—44no—
631C22×D83—44no—
632C22×D83—44no—
633C22×D83—44no—
634C22×D83—44no—
635C22×D83—44no—
636C22×D83—44no—
637C22×D83—44no—
638C22×D83—44no—
639C22×D83—82no—
640C22×D83—82no—
641C22×D83—82no—
642C22×D83—82no—
643C22×D83C2×#4112yes—
644C22×D83C2×#4112yes—
645C22×D83H(5,𝔽2)12yes—
646C22×D83H(5,𝔽2)12yes—
647D4×C83—44no—
648D4×C83—82no—
649D4×C83—82no—
650D4×C83—82no—
651D4×C83—82no—
652D4×C83—82no—
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—21no—
662C2×C4×C83—21no—
663C2×C4×C83—21no—
664C2×C4×C83—21no—
665C2×C4×C83—21no—
666C2×C4×C83—21no—
667C2×C4×C83—21no—
668C2×C4×C83—21no—
669C2×C4×C83—21no—
670C2×C4×C83—21no—
671C2×C4×C83—21no—
672C2×C4×C83—21no—
673C2×C4×C83—21no—
674C2×C4×C83—21no—
675C2×C4×C83—21no—
676C2×C4×C83—21no—
677C2×C4×C83—21no—
678C2×C4×C83—21no—
679C2×C4×C83—21no—
680C2×C4×C83—21no—
681C2×C4×C83—21no—
682C2×C4×C83—21no—
683C2×C4×C83—21no—
684C2×C4×C83—21no—
685C2×C4×C83—44no—
686C2×C4×C83H(5,𝔽2)12yes—
687C22⋊D83—44no—
688C22⋊D83—44no—
689C22⋊D83—44no—
690C22⋊D83—44no—
691C22⋊D83—82no—
692C22⋊D83—82no—
693C22⋊D83—82no—
694C22⋊D83—82no—
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—
717C2×Dic83—21no—
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—44no—
734C2×Dic83—82no—
735C2×Dic83—82no—
736C2×Dic83H(5,𝔽2)12yes—
737D332—44no—
738C4×D83—44no—
739C4×D83—44no—
740C4×D83—44no—
741C4×D83—44no—
742C4×D83—44no—
743C4×D83—82no—
744C4×D83—82no—
745Dic166—82no—
746C22×C83—22no—
747C22×C83—22no—
748C22×C83—22no—
749C22×C83—41no—
750C22×C83—41no—
751C22×C83—41no—
752C22×C83—41no—
753C22×C83—41no—
754C22×C83—41no—
755C22×C83—41no—
756C22×C83—41no—
757C22×C83—41no—
758C22×C83—41no—
759C22×C83—41no—
760C22×C83—41no—
761C22×C83—41no—
762C22×C83—41no—
763C22×C83—41no—
764C22×C83—41no—
765C22×C83—41no—
766C22×C83—41no—
767C22×C83—41no—
768C22×C83—41no—
769C22×C83—41no—
770C22×C83—41no—
771C22×C83—41no—
772C22×C83—41no—
773C22×C83—41no—
774C22×C83C22×#4111yescharacteristic
775C22×C83C2×H(5,𝔽2)11yescharacteristic
776C22×C83C2×H(5,𝔽2)11yescharacteristic
777C22×C83C2×H(5,𝔽2)11yescharacteristic
778C22×C83C2×H(5,𝔽2)11yescharacteristic
779C22×C83#58511yescharacteristic
780C22×C83#58511yescharacteristic
781C2×D83—22no—
782C2×D83—22no—
783C2×D83—22no—
784C2×D83—22no—
785C2×D83—22no—
786C2×D83—22no—
787C2×D83—22no—
788C2×D83—22no—
789C2×D83—22no—
790C2×D83—416no—
791C2×D83—41no—
792C2×D83—41no—
793C2×D83—41no—
794C2×D83—41no—
795C2×D83—41no—
796C2×D83—41no—
797C2×D83—41no—
798C2×D83—41no—
799C2×D83—41no—
800C2×D83—41no—
801C2×D83—41no—
802C2×D83—88no—
803C2×D83#53814yes—
804C4×C83—22no—
805C4×C83—41no—
806C4×C83—41no—
807C4×C83—41no—
808C4×C83—41no—
809C4×C83—41no—
810C4×C83—41no—
811C4×C83—41no—
812C4×C83—41no—
813C4×C83—41no—
814C4×C83—41no—
815Dic83—22no—
816Dic83—41no—
817Dic83—41no—
818Dic83—41no—
819Dic83—41no—
820Dic83—41no—
821Dic83—41no—
822Dic83—41no—
823Dic83—41no—
824Dic83—41no—
825Dic83—41no—
826Dic83—41no—
827Dic83—41no—
828#36758—831nomaximal, Sylow
829C2×C83—42no—
830C2×C83—81no—
831C2×C83—81no—
832C2×C83—81no—
833C2×C83C2×#53811yescharacteristic
834C2×C83#350511yescharacteristic
835C2×C83#350511yescharacteristic
836C2×C83#353211yescharacteristic
837C2×C83#353311yescharacteristic
838C2×C83#354211yescharacteristic
839C2×C83#354211yescharacteristic
840D83—24no—
841D83—42no—
842D83—81no—
843#2848—831no—
844#2847—831no—
845#2797—831no—
846#2781—831no—
847#2779—831no—
848#2778—831no—
849#2778—831no—
850#2756—831no—
851#2753—831no—
852#2749—831no—
853#2741—831no—
854#2730—831no—
855#2714D8311yescharacteristic, complemented
856#2703—831no—
857#2702—831no—
858#2696—831no—
859#2688—831no—
860#2676—831no—
861#2613—831no—
862#2613—831no—
863#2493—831no—
864#2488—831no—
865#2480—831no—
866#2472—831no—
867#2425—831no—
868#2424—831no—
869#2419—831no—
870#2418—831no—
871#2321—831no—
872#2321—831no—
873C2×#386—831no—
874C83#3675811yescharacteristic, complemented, Sylow
875C23×D4—831no—
876C24×C4—831no—
877C2×#126C2×D8311yescharacteristic, complemented
878C2×#124—831no—
879C2×#123—831no—
880C2×#123—831no—
881C2×#123—831no—
882C2×C22⋊Q8—831no—
883C2×C22⋊Q8—831no—
884C2×C22⋊Q8—831no—
885C2×#121—831no—
886C2×#121—831no—
887C2×#121—831no—
888C2×#121C2×D8311yescharacteristic, complemented
889C2×#120—831no—
890C2×#120—831no—
891C2×#120—831no—
892C2×#120—831no—
893C2×C4×D4—831no—
894C2×C4×D4—831no—
895C22×C22⋊C4—831no—
896C22×C22⋊C4—831no—
897C22×C22⋊C4—831no—
898#401—831no—
899#400—831no—
900#400—831no—
901#400—831no—
902#400—831no—
903#400—831no—
904#400—831no—
905#399—831no—
906#398—831no—
907#398—831no—
908#397—831no—
909#397—831no—
910#397—831no—
911#397—831no—
912#397—831no—
913#397—831no—
914#397—831no—
915#397—831no—
916#397C2×D8311yescharacteristic, complemented
917#396—831no—
918#396—831no—
919#396—831no—
920#394—831no—
921#394—831no—
922#394—831no—
923#394—831no—
924#394—831no—
925#394—831no—
926#394—831no—
927#394—831no—
928#394—831no—
929#394—831no—
930#394—831no—
931#394—831no—
932#394—831no—
933#394C2×D8311yescharacteristic, complemented
934#394C2×D8311yescharacteristic, complemented
935#393—831no—
936#393—831no—
937#392—831no—
938#392—831no—
939#392—831no—
940#392—831no—
941#392—831no—
942#392—831no—
943#392C2×D8311yescharacteristic
944#392C2×D8311yescharacteristic
945#392C2×D8311yescharacteristic, complemented
946#391—831no—
947#390—831no—
948#390—831no—
949#390—831no—
950#390C2×D8311yescharacteristic, complemented
951#390C2×D8311yescharacteristic, complemented
952#390C2×D8311yescharacteristic, complemented
953#389—831no—
954#388—831no—
955#388—831no—
956#388—831no—
957#388—831no—
958#388—831no—
959#388—831no—
960#388—831no—
961#388—831no—
962#388—831no—
963#388—831no—
964#388—831no—
965#388—831no—
966#388—831no—
967#388—831no—
968#388—831no—
969#388—831no—
970#388—831no—
971#388—831no—
972#388C2×D8311yescharacteristic, complemented
973#387—831no—
974#387—831no—
975#387—831no—
976#387—831no—
977#387C2×D8311yescharacteristic, complemented
978#386—831no—
979#386—831no—
980#386—831no—
981#386—831no—
982#386—831no—
983#386—831no—
984#386—831no—
985#386—831no—
986#386—831no—
987#386—831no—
988#386—831no—
989#386—831no—
990#386—831no—
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#386C2×D8311yescharacteristic
1001#385—831no—
1002#385—831no—
1003#385—831no—
1004#385—831no—
1005#385—831no—
1006#385—831no—
1007#385—831no—
1008#385—831no—
1009#385C2×D8311yescharacteristic, complemented
1010#383—831no—
1011#382—831no—
1012#381—831no—
1013#381—831no—
1014#381—831no—
1015#380—831no—
1016#380—831no—
1017#380—831no—
1018#380—831no—
1019#380—831no—
1020#380—831no—
1021#380—831no—
1022#379—831no—
1023#379—831no—
1024#379—831no—
1025#379—831no—
1026C4×C22⋊C4—831no—
1027C4×C22⋊C4—831no—
1028C2×#95—831no—
1029C2×#95—831no—
1030C25—831no—
1031C25—831no—
1032C22×Q8—831no—
1033C22×D4—3322no—
1034C22×D4—3322no—
1035C22×D4—831no—
1036C22×D4—831no—
1037C22×D4—831no—
1038C22×D4—831no—
1039C22×D4—831no—
1040C22×D4—831no—
1041C22×D4—831no—
1042C22×D4—831no—
1043C22×D4—831no—
1044C22×D4—1664no—
1045C22×D4C22×D8311yescharacteristic
1046C22×D4C22×D8311yescharacteristic
1047C22×D4C22×D8311yescharacteristic
1048C22×D4C22×D8311yescharacteristic
1049C22×D4C22×D8311yescharacteristic
1050C22×D4C22×D8311yescharacteristic
1051C23×C4—3322no—
1052C23×C4—3322no—
1053C23×C4—3322no—
1054C23×C4—831no—
1055C23×C4—831no—
1056C23×C4—831no—
1057C23×C4—831no—
1058C23×C4—831no—
1059C23×C4—831no—
1060C23×C4—831no—
1061C23×C4—831no—
1062C23×C4—831no—
1063C23×C4—831no—
1064C23×C4C22×D8311yescharacteristic
1065#126—42no—
1066#124—3322no—
1067#123—3322no—
1068#123—3322no—
1069#123—3322no—
1070C22⋊Q8—3322no—
1071C22⋊Q8—3322no—
1072C22⋊Q8—3322no—
1073#121—42no—
1074#121—3322no—
1075#121—3322no—
1076#121—3322no—
1077#120—3322no—
1078#120—3322no—
1079#120—1664no—
1080#120—1664no—
1081C4×D4—3322no—
1082C4×D4—3322no—
1083C2×C4⋊C4—831no—
1084C2×C4⋊C4—831no—
1085C2×C4⋊C4—831no—
1086C2×C4⋊C4—831no—
1087C2×C4⋊C4—831no—
1088C2×C4⋊C4—831no—
1089C2×C4⋊C4—831no—
1090C2×C4⋊C4—831no—
1091C2×C4⋊C4—831no—
1092C2×C4⋊C4—831no—
1093C2×C4⋊C4—831no—
1094C2×C4⋊C4—831no—
1095C2×C4⋊C4—831no—
1096C2×C4⋊C4—831no—
1097C2×C4⋊C4—831no—
1098C2×C4⋊C4—831no—
1099C2×C4⋊C4—831no—
1100C2×C4⋊C4C22×D8311yescharacteristic
1101C2×C4⋊C4C22×D8311yescharacteristic
1102C2×C4⋊C4C22×D8311yescharacteristic
1103C2×C4⋊C4C22×D8311yescharacteristic
1104C2×C4⋊C4C22×D8311yescharacteristic
1105C2×C22⋊C4—3322no—
1106C2×C22⋊C4—3322no—
1107C2×C22⋊C4—3322no—
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⋊C4—831no—
1127C2×C22⋊C4—831no—
1128C2×C22⋊C4—831no—
1129C2×C22⋊C4—831no—
1130C2×C22⋊C4—831no—
1131C2×C22⋊C4—831no—
1132C2×C22⋊C4—831no—
1133C2×C22⋊C4—831no—
1134C2×C22⋊C4—831no—
1135C2×C22⋊C4—831no—
1136C2×C22⋊C4—831no—
1137C2×C22⋊C4—831no—
1138C2×C22⋊C4—831no—
1139C2×C22⋊C4—831no—
1140C2×C22⋊C4—831no—
1141C2×C22⋊C4—831no—
1142C2×C22⋊C4—831no—
1143C2×C22⋊C4—831no—
1144C2×C22⋊C4—831no—
1145C2×C22⋊C4—831no—
1146C2×C22⋊C4—831no—
1147C2×C22⋊C4—831no—
1148C2×C22⋊C4—831no—
1149C2×C22⋊C4—831no—
1150C2×C22⋊C4—831no—
1151C2×C22⋊C4C22×D8311yescharacteristic
1152C2×C22⋊C4C22×D8311yescharacteristic
1153C2×C22⋊C4C22×D8311yescharacteristic
1154C2×C22⋊C4C22×D8311yescharacteristic
1155C2×C22⋊C4C22×D8311yescharacteristic
1156C2×C22⋊C4C22×D8311yescharacteristic
1157C2×C22⋊C4C22×D8311yescharacteristic
1158C2×C22⋊C4C22×D8311yescharacteristic
1159C2×C22⋊C4C22×D8311yescharacteristic
1160C2×C22⋊C4C22×D8311yescharacteristic
1161C2×C22⋊C4C22×D8311yescharacteristic
1162C2×C22⋊C4C22×D8311yescharacteristic
1163C2×C22⋊C4C22×D8311yescharacteristic
1164C2×C22⋊C4C22×D8311yescharacteristic
1165C2×C22⋊C4C22×D8311yescharacteristic
1166C2×C42—831no—
1167C2×C42—831no—
1168C2×C42—831no—
1169C2×C42—831no—
1170C2×C42C22×D8311yescharacteristic
1171C2×C42C22×D8311yescharacteristic
1172#95—831no—
1173#95—831no—
1174#95—831no—
1175#95—831no—
1176#95—831no—
1177#95—831no—
1178#95—831no—
1179#95—831no—
1180#95—831no—
1181#95—831no—
1182#95—831no—
1183#95—831no—
1184#95—831no—
1185#95—831no—
1186#95—831no—
1187#95—831no—
1188#95—831no—
1189#95—831no—
1190#95—831no—
1191#95—831no—
1192#95—831no—
1193#95—831no—
1194#95—831no—
1195#95—831no—
1196#95—831no—
1197#95—831no—
1198#95—831no—
1199#95—831no—
1200#95—831no—
1201#95—831no—
1202#95—831no—
1203#95—831no—
1204#95—831no—
1205#95—831no—
1206#95C22×D8311yescharacteristic
1207#95C22×D8311yescharacteristic
1208#95C22×D8311yescharacteristic
1209#95C22×D8311yescharacteristic
1210#95C22×D8311yescharacteristic
1211#95C22×D8311yescharacteristic
1212C24—3321no—
1213C24—3321no—
1214C24—3321no—
1215C24—3321no—
1216C24—3321no—
1217C24—3321no—
1218C24—3321no—
1219C24—3321no—
1220C24—834no—
1221C24—831no—
1222C24—831no—
1223C24—831no—
1224C24—1662no—
1225C24—1662no—
1226C24—1662no—
1227C24—1662no—
1228C24—1662no—
1229C24C23×D8311yescharacteristic
1230C24C23×D8311yescharacteristic
1231C24C23×D8311yescharacteristic
1232C24C23×D8311yescharacteristic
1233C2×Q8—3321no—
1234C2×Q8—3321no—
1235C2×Q8—1662no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—3321no—
1255C2×D4—3321no—
1256C2×D4—33216no—
1257C2×D4—3321no—
1258C2×D4—3321no—
1259C2×D4—3321no—
1260C2×D4—3321no—
1261C2×D4—3321no—
1262C2×D4—3321no—
1263C2×D4—3321no—
1264C2×D4—3321no—
1265C2×D4—3321no—
1266C2×D4—3321no—
1267C2×D4—3321no—
1268C2×D4—3321no—
1269C2×D4—3321no—
1270C2×D4—3321no—
1271C2×D4—1662no—
1272C2×D4—1662no—
1273C2×D4—1662no—
1274C2×D4—1662no—
1275C2×D4—1662no—
1276C2×D4—1662no—
1277C2×D4—1662no—
1278C2×D4—1662no—
1279C2×D4—1662no—
1280C2×D4—1662no—
1281C2×D4—1662no—
1282C22×C4—22no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—3321no—
1286C22×C4—3321no—
1287C22×C4—3321no—
1288C22×C4—3321no—
1289C22×C4—3321no—
1290C22×C4—3321no—
1291C22×C4—3321no—
1292C22×C4—3321no—
1293C22×C4—3321no—
1294C22×C4—3321no—
1295C22×C4—33216no—
1296C22×C4—3321no—
1297C22×C4—3321no—
1298C22×C4—3321no—
1299C22×C4—3321no—
1300C22×C4—3321no—
1301C22×C4—3321no—
1302C22×C4—3321no—
1303C22×C4—3321no—
1304C22×C4—831no—
1305C22×C4—831no—
1306C22×C4—831no—
1307C22×C4—831no—
1308C22×C4—831no—
1309C22×C4—831no—
1310C22×C4—831no—
1311C22×C4—831no—
1312C22×C4—831no—
1313C22×C4—831no—
1314C22×C4—831no—
1315C22×C4—831no—
1316C22×C4—831no—
1317C22×C4—1662no—
1318C22×C4—1662no—
1319C22×C4—1662no—
1320C22×C4—1662no—
1321C22×C4—1662no—
1322C22×C4—1662no—
1323C22×C4—1662no—
1324C22×C4—1662no—
1325C22×C4—1662no—
1326C22×C4—1662no—
1327C22×C4—1662no—
1328C22×C4—1662no—
1329C22×C4C23×D8311yescharacteristic
1330C22×C4C23×D8311yescharacteristic
1331C22×C4C23×D8311yescharacteristic
1332C22×C4C23×D8311yescharacteristic
1333C22×C4C23×D8311yescharacteristic
1334C22×C4C23×D8311yescharacteristic
1335C22×C4C23×D8311yescharacteristic
1336C22×C4C23×D8311yescharacteristic
1337C22×C4C23×D8311yescharacteristic
1338C22×C4C23×D8311yescharacteristic
1339C22×C4C23×D8311yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—3321no—
1346C4⋊C4—3321no—
1347C4⋊C4—3321no—
1348C4⋊C4—3321no—
1349C4⋊C4—3321no—
1350C4⋊C4—3321no—
1351C4⋊C4—3321no—
1352C4⋊C4—3321no—
1353C4⋊C4—3321no—
1354C4⋊C4—3321no—
1355C4⋊C4—3321no—
1356C4⋊C4—3321no—
1357C4⋊C4—3321no—
1358C4⋊C4—3321no—
1359C4⋊C4—3321no—
1360C4⋊C4—1662no—
1361C4⋊C4—1662no—
1362C22⋊C4—22no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—3321no—
1378C22⋊C4—3321no—
1379C22⋊C4—3321no—
1380C22⋊C4—3321no—
1381C22⋊C4—3321no—
1382C22⋊C4—3321no—
1383C22⋊C4—3321no—
1384C22⋊C4—3321no—
1385C22⋊C4—3321no—
1386C22⋊C4—3321no—
1387C22⋊C4—3321no—
1388C22⋊C4—3321no—
1389C22⋊C4—3321no—
1390C22⋊C4—3321no—
1391C22⋊C4—3321no—
1392C22⋊C4—3321no—
1393C22⋊C4—3321no—
1394C22⋊C4—3321no—
1395C22⋊C4—3321no—
1396C22⋊C4—3321no—
1397C22⋊C4—3321no—
1398C22⋊C4—3321no—
1399C22⋊C4—3321no—
1400C22⋊C4—3321no—
1401C22⋊C4—3321no—
1402C22⋊C4—3321no—
1403C22⋊C4—3321no—
1404C22⋊C4—3321no—
1405C22⋊C4—1662no—
1406C22⋊C4—1662no—
1407C22⋊C4—1662no—
1408C22⋊C4—1662no—
1409C22⋊C4—1662no—
1410C22⋊C4—1662no—
1411C22⋊C4—1662no—
1412C22⋊C4—1662no—
1413C22⋊C4—1662no—
1414C22⋊C4—1662no—
1415C22⋊C4—1662no—
1416C22⋊C4—1662no—
1417C22⋊C4—1662no—
1418C22⋊C4—1662no—
1419C22⋊C4—1662no—
1420C42—41no—
1421C42—41no—
1422C42—3321no—
1423C42—3321no—
1424C42—3321no—
1425C42—3321no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—3324no—
1454C23—3324no—
1455C23—3324no—
1456C23—3324no—
1457C23—3324no—
1458C23—3324no—
1459C23—3324no—
1460C23—3324no—
1461C23—3324no—
1462C23—832no—
1463C23—832no—
1464C23—832no—
1465C23—832no—
1466C23—6642no—
1467C23—6642no—
1468C23—6642no—
1469C23—6642no—
1470C23—1668no—
1471C23—1661no—
1472C23—1661no—
1473C23—1661no—
1474C23—1661no—
1475C23—1661no—
1476C23—1661no—
1477C23—1661no—
1478C23—1661no—
1479C23—1661no—
1480C23—1661no—
1481C23—1661no—
1482C23—1661no—
1483C23—1661no—
1484C23—1661no—
1485C23—1661no—
1486C23—1661no—
1487C23—1661no—
1488C23#41×D8312yes—
1489C23C24×D8311yescharacteristic
1490Q8—6642no—
1491D4—44no—
1492D4—82no—
1493D4—82no—
1494D4—82no—
1495D4—82no—
1496D4—82no—
1497D4—3324no—
1498D4—3324no—
1499D4—3324no—
1500D4—3324no—
1501D4—3324no—
1502D4—6642no—
1503D4—6642no—
1504D4—6642no—
1505D4—6642no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—44no—
1539C2×C4—3324no—
1540C2×C4—3324no—
1541C2×C4—3324no—
1542C2×C4—3324no—
1543C2×C4—3324no—
1544C2×C4—3324no—
1545C2×C4—832no—
1546C2×C4—6642no—
1547C2×C4—6642no—
1548C2×C4—6642no—
1549C2×C4—6642no—
1550C2×C4—1661no—
1551C2×C4—1661no—
1552C2×C4—1661no—
1553C2×C4—1661no—
1554C2×C4—1661no—
1555C2×C4—1661no—
1556C2×C4—1661no—
1557C2×C4—1661no—
1558C2×C4—1661no—
1559C2×C4—1661no—
1560C2×C4—1661no—
1561C2×C4—1661no—
1562C2×C4—1661no—
1563C2×C4—1661no—
1564C2×C4—1661no—
1565C2×C4—1661no—
1566C2×C4—1661no—
1567C2×C4—1661no—
1568C2×C4—1661no—
1569C2×C4—1661no—
1570C2×C4—1661no—
1571C2×C4—1661no—
1572C2×C4—1661no—
1573C2×C4—1661no—
1574C2×C4—1661no—
1575C2×C4—1661no—
1576C2×C4—1661no—
1577C2×C4—1661no—
1578C2×C4—1661no—
1579C2×C4—1661no—
1580C2×C4—1661no—
1581C2×C4—1661no—
1582C2×C4—1661no—
1583C2×C4—1661no—
1584C2×C4—1661no—
1585C2×C4—1661no—
1586C2×C4—1661no—
1587C2×C4—1661no—
1588C2×C4#1458183712yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—33216no—
1618C22—3321no—
1619C22—3321no—
1620C22—3321no—
1621C22—3321no—
1622C22—3321no—
1623C22—3321no—
1624C22—3321no—
1625C22—3321no—
1626C22—3321no—
1627C22—3321no—
1628C22—3321no—
1629C22—834no—
1630C22—6648no—
1631C22—1662no—
1632C22—1662no—
1633C22—1662no—
1634C22—1662no—
1635C22—1662no—
1636C22—1662no—
1637C22—1662no—
1638C22—1662no—
1639C22—1662no—
1640C22C2×#41×D8311yescharacteristic
1641C22H(5,𝔽2)×D8311yescharacteristic
1642C22H(5,𝔽2)×D8311yescharacteristic
1643C22H(5,𝔽2)×D8311yescharacteristic
1644C22C2×#1458183711yescharacteristic
1645C22#1912853611yescharacteristic
1646C22#1912853711yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—3321no—
1659C4—3321no—
1660C4—3321no—
1661C4—3321no—
1662C4—3321no—
1663C4—3321no—
1664C4—3321no—
1665C4—3321no—
1666C4—3321no—
1667C4—3321no—
1668C4—3321no—
1669C4—3321no—
1670C4—1662no—
1671C2—42no—
1672C2—81no—
1673C2—81no—
1674C2—81no—
1675C2—3322no—
1676C2—6641no—
1677C2—1664no—
1678C2#538×D8311yescharacteristic
1679C2#2492129011yescharacteristic
1680C2#2492129611yescharacteristic
1681C2#2492161711yescharacteristic
1682C2#2492163011yescharacteristic
1683C2#2492176811yescharacteristic
1684C2#2492176911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2714C2
hypercenter#2714D83
hypocenterC83#36758
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2714

Complements

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

NH ≅ G/Ntype
1. #24915749C2semidirect
2. #24915742C2semidirect
3. #24915327C2semidirect
4. #24915129C2semidirect
5. #24915096C2semidirect
6. #24915078C2semidirect
7. #24915074C2semidirect
8. #24914785C2semidirect
9. #24914747C2semidirect
10. #24914684C2semidirect
11. #24914572C2semidirect
12. #24914455C2semidirect
13. #24914113C2semidirect
14. #24914085C2semidirect
15. #24914012C2semidirect
16. #24913893C2semidirect
17. #24913766C2semidirect
18. #24913174C2semidirect
19. #24913174C2semidirect
20. #24911847C2semidirect
21. #24911794C2semidirect
22. #24911705C2semidirect
23. #24911595C2semidirect
24. #24911015C2semidirect
25. #24911002C2semidirect
26. #24910935C2semidirect
27. #24910918C2semidirect
28. #24910122C2semidirect
29. #24910122C2semidirect
30. #386×D83C2semidirect
31. C83×#2714C2semidirect
34. C2×#14581778C22semidirect
37. C2×#14581773C22semidirect
39. C2×#14581770C22semidirect
40. C2×#14581769C22semidirect
41. C2×#14581764C22semidirect
43. C2×#14581763C22semidirect
53. C83⋊#401C22semidirect
54. #19127643C22semidirect
55. #19127642C22semidirect
56. #19127642C22semidirect
57. #19127641C22semidirect
58. #19127640C22semidirect
59. #19127639C22semidirect
60. #19127636C22semidirect
61. #19127635C22semidirect
62. #19127634C22semidirect
63. #19127629C22semidirect
64. #19127629C22semidirect
65. #19127629C22semidirect
66. #19127629C22semidirect
67. #19127629C22semidirect
68. #19127627C22semidirect
69. #19127627C22semidirect
70. #19127626C22semidirect
71. #19127624C22semidirect
72. #19127624C22semidirect
73. #19127623C22semidirect
80. #19127617C22semidirect
81. #19127616C22semidirect
82. #19127616C22semidirect
83. #19127616C22semidirect
86. #19127615C22semidirect
87. #19127613C22semidirect
88. #19127613C22semidirect
95. #19127607C22semidirect
96. #19127604C22semidirect
97. #19127601C22semidirect
98. #19127601C22semidirect
99. #19127600C22semidirect
100. #19127595C22semidirect
101. #19127595C22semidirect
102. #19127595C22semidirect
103. #19127595C22semidirect
104. #19127595C22semidirect
105. #19127594C22semidirect
106. #19127593C22semidirect
107. #19127592C22semidirect
108. #19127592C22semidirect
109. #19127592C22semidirect
110. #19127592C22semidirect
111. #19127591C22semidirect
112. #19127591C22semidirect
113. #19127591C22semidirect
114. #19127590C22semidirect
115. #19127589C22semidirect
116. #19127589C22semidirect
117. #19127589C22semidirect
118. #19127588C22semidirect
119. #19127588C22semidirect
120. #19127587C22semidirect
121. #19127583C22semidirect
123. #19127581C22semidirect
124. #19127581C22semidirect
125. #19127581C22semidirect
126. #19127581C22semidirect
127. #19127581C22semidirect
128. #19127581C22semidirect
133. #19127578C22semidirect
134. #19127578C22semidirect
135. #19127578C22semidirect
142. #19127577C22semidirect
143. #19127577C22semidirect
145. #19127575C22semidirect
146. #19127574C22semidirect
147. #19127573C22semidirect
151. #19127572C22semidirect
152. #19127569C22semidirect
153. #19127565C22semidirect
156. #19127562C22semidirect
157. #19127561C22semidirect
159. #19127560C22semidirect
160. #19127559C22semidirect
161. #19127559C22semidirect
163. #19127558C22semidirect
172. C2×#126×C83C22semidirect
173. C2×#121×C83C22semidirect
174. #397×C83C22semidirect
175. #394×C83C22semidirect
176. #394×C83C22semidirect
179. #392×C83C22semidirect
180. #390×C83C22semidirect
181. #390×C83C22semidirect
182. #390×C83C22semidirect
183. #388×C83C22semidirect
184. #387×C83C22semidirect
186. #385×C83C22semidirect
855. #2714D83semidirect
874. C83#36758semidirect
877. C2×#126C2×D83semidirect
888. C2×#121C2×D83semidirect
916. #397C2×D83semidirect
933. #394C2×D83semidirect
934. #394C2×D83semidirect
945. #392C2×D83semidirect
950. #390C2×D83semidirect
951. #390C2×D83semidirect
952. #390C2×D83semidirect
972. #388C2×D83semidirect
977. #387C2×D83semidirect
1009. #385C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157492
#249157422
#249153272
#249151292
#249150962
#249150782
#249150742
#249147852
#249147472
#249146842
#249145722
#249144552
#249141132
#249140852
#249140122
#249138932
#249137662
#249131742
#249118472
#249117942
#249117052
#249115952
#249110152
#249110022
#249109352
#249109182
#249101222
#386×D832
C83×#27142
#3675883