Finite Group Databasebeta

← #35613200

Subgroups — #35613200

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#24915404C211yesmaximal, characteristic, complemented
4#24915325C211yesmaximal, characteristic, complemented
5#24915216C211yesmaximal, characteristic, complemented
6#24915158C211yesmaximal, characteristic, complemented
7#24915110C211yesmaximal, characteristic, complemented
8#24915086C211yesmaximal, characteristic, complemented
9#24914721C211yesmaximal, characteristic, complemented
10#24914706C211yesmaximal, characteristic, complemented
11#24914625C211yesmaximal, characteristic, complemented
12#24914265C211yesmaximal, characteristic, complemented
13#24914198C211yesmaximal, characteristic, complemented
14#24914187C211yesmaximal, characteristic, complemented
15#24914174C211yesmaximal, characteristic, complemented
16#24913991C211yesmaximal, characteristic, complemented
17#24913874C211yesmaximal, characteristic, complemented
18#24913831C211yesmaximal, characteristic, complemented
19#24913416C211yesmaximal, characteristic, complemented
20#24911723C211yesmaximal, characteristic, complemented
21#24911596C211yesmaximal, characteristic, complemented
22#24911196C211yesmaximal, characteristic, complemented
23#24911135C211yesmaximal, characteristic, complemented
24#24911069C211yesmaximal, characteristic, complemented
25#24911005C211yesmaximal, characteristic, complemented
26#24910851C211yesmaximal, characteristic, complemented
27#24910781C211yesmaximal, characteristic, complemented
28#24910137C211yesmaximal, characteristic, complemented
29#24910050C211yesmaximal, characteristic, complemented
30C2×#19127575C211yesmaximal, characteristic, complemented
31C83×#2639C211yesmaximal, characteristic, complemented
32C22×#13050589C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34C2×#14581785C2211yescharacteristic, complemented
35C2×#14581781C2211yescharacteristic
36C2×#14581776C2211yescharacteristic, complemented
37C2×#14581774C2211yescharacteristic
38C2×#14581774C2211yescharacteristic
39C2×#14581773C2211yescharacteristic
40C2×#14581765C2211yescharacteristic
41C2×#14581765C2211yescharacteristic
42C2×#14581764C2211yescharacteristic
43C2×#14581764C2211yescharacteristic
44C2×#14581762C2211yescharacteristic
45C2×#14581760C2211yescharacteristic
46C2×#14581760C2211yescharacteristic
47C2×D4×Dic83C2211yescharacteristic
48C2×#14581748C2211yescharacteristic
49C22×C4⋊Dic83C2211yescharacteristic
50C22×Dic83⋊C4C2211yescharacteristic
51C22×(C2×D83)⋊C4C2211yescharacteristic
52C22×(C2×D83)⋊C4C2211yescharacteristic
53C83⋊#401C2211yescharacteristic, complemented
54#19127643C2211yescharacteristic, complemented
55#19127642C2211yescharacteristic, complemented
56#19127642C2211yescharacteristic, complemented
57#19127642C2211yescharacteristic, complemented
58#19127641C2211yescharacteristic, complemented
59#19127639C2211yescharacteristic, complemented
60#19127638C2211yescharacteristic, complemented
61#19127634C2211yescharacteristic, complemented
62#19127634C2211yescharacteristic, complemented
63#19127633C2211yescharacteristic, complemented
64#19127630C2211yescharacteristic, complemented
65#19127630C2211yescharacteristic, complemented
66#19127630C2211yescharacteristic, complemented
67#19127627C2211yescharacteristic
68#19127626C2211yescharacteristic, complemented
69#19127626C2211yescharacteristic, complemented
70#19127625C2211yescharacteristic
71#19127625C2211yescharacteristic
72#19127625C2211yescharacteristic, complemented
73#19127624C2211yescharacteristic, complemented
74#19127623C2211yescharacteristic
75#19127621C2211yescharacteristic, complemented
76#19127620C2211yescharacteristic, complemented
77#19127618C2211yescharacteristic
78#19127618C2211yescharacteristic
79#19127617C2211yescharacteristic
80#19127617C2211yescharacteristic, complemented
81#19127616C2211yescharacteristic
82#19127616C2211yescharacteristic
83#19127616C2211yescharacteristic
84#19127616C2211yescharacteristic, complemented
85#19127614C2211yescharacteristic
86#19127614C2211yescharacteristic
87#19127613C2211yescharacteristic, complemented
88#19127612C2211yescharacteristic
89#19127610C2211yescharacteristic
90#19127610C2211yescharacteristic
91#19127609C2211yescharacteristic
92#19127609C2211yescharacteristic, complemented
93#19127608C2211yescharacteristic, complemented
94#19127605C2211yescharacteristic, complemented
95#19127605C2211yescharacteristic, complemented
96#19127602C2211yescharacteristic
97#19127601C2211yescharacteristic
98#19127601C2211yescharacteristic
99#19127601C2211yescharacteristic
100#19127601C2211yescharacteristic, complemented
101#19127601C2211yescharacteristic, complemented
102#19127598C2211yescharacteristic, complemented
103#19127598C2211yescharacteristic, complemented
104#19127597C2211yescharacteristic, complemented
105#19127594C2211yescharacteristic, complemented
106#19127593C2211yescharacteristic, complemented
107#19127591C2211yescharacteristic
108#19127591C2211yescharacteristic
109#19127591C2211yescharacteristic
110#19127590C2211yescharacteristic
111#19127590C2211yescharacteristic
112#19127589C2211yescharacteristic, complemented
113#19127589C2211yescharacteristic, complemented
114#19127588C2211yescharacteristic, complemented
115#19127586C2211yescharacteristic, complemented
116#19127586C2211yescharacteristic, complemented
117#19127583C2211yescharacteristic, complemented
118#19127583C2211yescharacteristic, complemented
119#19127582C2211yescharacteristic, complemented
120#19127582C2211yescharacteristic, complemented
121#19127581C2211yescharacteristic
122#19127581C2211yescharacteristic
123#19127581C2211yescharacteristic, complemented
124#19127580C2211yescharacteristic
125#19127580C2211yescharacteristic
126#19127580C2211yescharacteristic
127#19127579C2211yescharacteristic
128#19127579C2211yescharacteristic
129#19127579C2211yescharacteristic
130#19127579C2211yescharacteristic
131#19127578C2211yescharacteristic
132#19127578C2211yescharacteristic
133#19127578C2211yescharacteristic
134#19127578C2211yescharacteristic
135#19127577C2211yescharacteristic
136#19127577C2211yescharacteristic
137#19127577C2211yescharacteristic
138#19127577C2211yescharacteristic
139#19127577C2211yescharacteristic, complemented
140#19127576C2211yescharacteristic
141#19127576C2211yescharacteristic, complemented
142#19127575C2211yescharacteristic
143#19127575C2211yescharacteristic
144#19127575C2211yescharacteristic
145#19127575C2211yescharacteristic
146#19127575C2211yescharacteristic
147#19127575C2211yescharacteristic
148#19127575C2211yescharacteristic
149#19127575C2211yescharacteristic
150#19127575C2211yescharacteristic
151#19127575C2211yescharacteristic
152#19127574C2211yescharacteristic
153#19127574C2211yescharacteristic
154#19127574C2211yescharacteristic
155#19127573C2211yescharacteristic, complemented
156#19127573C2211yescharacteristic, complemented
157#19127573C2211yescharacteristic, complemented
158#19127572C2211yescharacteristic, complemented
159#19127563C2211yescharacteristic
160#19127563C2211yescharacteristic
161#19127562C2211yescharacteristic
162#19127560C2211yescharacteristic
163#19127560C2211yescharacteristic
164#19127560C2211yescharacteristic, complemented
165#19127560C2211yescharacteristic, complemented
166#19127559C2211yescharacteristic
167#19127559C2211yescharacteristic, complemented
168#19127559C2211yescharacteristic, complemented
169#19127556C2211yescharacteristic
170C22⋊C4×Dic83C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172C2×C22⋊Q8×C83C2211yescharacteristic
173C2×#121×C83C2211yescharacteristic
174#400×C83C2211yescharacteristic, complemented
175#400×C83C2211yescharacteristic, complemented
176#397×C83C2211yescharacteristic, complemented
177#397×C83C2211yescharacteristic, complemented
178#394×C83C2211yescharacteristic, complemented
179#394×C83C2211yescharacteristic, complemented
180#393×C83C2211yescharacteristic, complemented
181#393×C83C2211yescharacteristic, complemented
182#386×C83C2211yescharacteristic
183#386×C83C2211yescharacteristic
184#386×C83C2211yescharacteristic
185#386×C83C2211yescharacteristic
186C2×#95×C83C2211yescharacteristic
187C24×D83C2311yescharacteristic
188C2×#13050589—24no—
189C2×#13050589—42no—
190C2×#13050589—42no—
191C22×Dic166C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C23×Dic83C2311yescharacteristic
202C23×Dic83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C23×Dic83C2311yescharacteristic
205C23×Dic83C2311yescharacteristic
206C22×C4×D83—42no—
207C22×C4×D83—42no—
208C22×C4×D83—42no—
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214#14581785—42no—
215#14581781—42no—
216#14581776—42no—
217#14581774—42no—
218#14581774—42no—
219#14581773—24no—
220#14581765—42no—
221#14581765—42no—
222#14581764—42no—
223#14581764—42no—
224#14581762—42no—
225#14581760—42no—
226#14581760—42no—
227D4×Dic83—42no—
228#14581748—42no—
229C2×C4⋊Dic83—42no—
230C2×C4⋊Dic83C2311yescharacteristic
231C2×C4⋊Dic83C2311yescharacteristic
232C2×C4⋊Dic83C2311yescharacteristic
233C2×C4⋊Dic83C2311yescharacteristic
234C2×C4⋊Dic83C2311yescharacteristic
235C2×C4⋊Dic83C2311yescharacteristic
236C2×C4⋊Dic83C2311yescharacteristic
237C2×Dic83⋊C4—42no—
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×Dic83⋊C4C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C2×Dic83⋊C4C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
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×(C2×D83)⋊C4—24no—
267C2×(C2×D83)⋊C4—42no—
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
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×C4×Dic83C2311yescharacteristic
296C2×C4×Dic83C2311yescharacteristic
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
332C22×Q8×C83C2311yescharacteristic
333C22×D4×C83C2311yescharacteristic
334C22×D4×C83C2311yescharacteristic
335C22×D4×C83C2311yescharacteristic
336C23×C4×C83C2311yescharacteristic
337C23×C4×C83C2311yescharacteristic
338C23×C4×C83C2311yescharacteristic
339C22⋊Q8×C83—42no—
340#121×C83—42no—
341C2×C4⋊C4×C83C2311yescharacteristic
342C2×C4⋊C4×C83C2311yescharacteristic
343C2×C4⋊C4×C83C2311yescharacteristic
344C2×C4⋊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
357#95×C83C2311yescharacteristic
358#95×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×D332—22no—
384C2×D332—22no—
385C2×D332—41no—
386C2×D332—41no—
387C2×D332—41no—
388C2×D332—41no—
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—41no—
399C2×C22⋊D83—41no—
400C2×C22⋊D83—41no—
401C2×C22⋊D83—41no—
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—
410C22×Dic83—22no—
411C22×Dic83—22no—
412C22×Dic83—22no—
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×Dic83—41no—
423C22×Dic83—41no—
424C22×Dic83#4114yes—
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C22×Dic83C2411yescharacteristic
429C22×Dic83C2411yescharacteristic
430C22×Dic83C2411yescharacteristic
431C22×Dic83C2411yescharacteristic
432C22×Dic83C2411yescharacteristic
433C22×Dic83C2411yescharacteristic
434C22×Dic83C2411yescharacteristic
435C22×Dic83C2411yescharacteristic
436C22×Dic83C2411yescharacteristic
437C22×Dic83C2411yescharacteristic
438C2×C4×D83—22no—
439C2×C4×D83—22no—
440C2×C4×D83—22no—
441C2×C4×D83—22no—
442C2×C4×D83—22no—
443C2×C4×D83—41no—
444C2×C4×D83—41no—
445C2×C4×D83—41no—
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—416no—
454C4⋊Dic83—22no—
455C4⋊Dic83—22no—
456C4⋊Dic83—22no—
457C4⋊Dic83—41no—
458C4⋊Dic83—41no—
459C4⋊Dic83—41no—
460C4⋊Dic83—41no—
461Dic83⋊C4—22no—
462Dic83⋊C4—22no—
463Dic83⋊C4—22no—
464Dic83⋊C4—41no—
465Dic83⋊C4—41no—
466Dic83⋊C4—41no—
467Dic83⋊C4—41no—
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—22no—
484C22⋊Dic83—41no—
485C22⋊Dic83—41no—
486C22⋊Dic83—41no—
487C22⋊Dic83—41no—
488C22⋊Dic83—41no—
489(C2×D83)⋊C4—22no—
490(C2×D83)⋊C4—22no—
491(C2×D83)⋊C4—22no—
492(C2×D83)⋊C4—22no—
493(C2×D83)⋊C4—22no—
494(C2×D83)⋊C4—22no—
495(C2×D83)⋊C4—22no—
496(C2×D83)⋊C4—22no—
497(C2×D83)⋊C4—41no—
498(C2×D83)⋊C4—41no—
499(C2×D83)⋊C4—41no—
500(C2×D83)⋊C4—41no—
501(C2×D83)⋊C4—41no—
502(C2×D83)⋊C4—41no—
503(C2×D83)⋊C4—41no—
504(C2×D83)⋊C4—41no—
505(C2×D83)⋊C4—41no—
506(C2×D83)⋊C4—41no—
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—
516C4×Dic83—41no—
517C4×Dic83—41no—
518C4×Dic83—41no—
519C4×Dic83—41no—
520C4×Dic83—41no—
521C24×C83C2411yescharacteristic
522C24×C83C2411yescharacteristic
523C24×C83C2411yescharacteristic
524C2×Q8×C83—41no—
525C2×Q8×C83—41no—
526C2×Q8×C83—41no—
527C2×D4×C83—22no—
528C2×D4×C83—22no—
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—
536C22×C4×C83—22no—
537C22×C4×C83—22no—
538C22×C4×C83—22no—
539C22×C4×C83—41no—
540C22×C4×C83—41no—
541C22×C4×C83—41no—
542C22×C4×C83—41no—
543C22×C4×C83—41no—
544C22×C4×C83—41no—
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—41no—
558C4⋊C4×C83—41no—
559C4⋊C4×C83—41no—
560C4⋊C4×C83—41no—
561C22⋊C4×C83—22no—
562C22⋊C4×C83—22no—
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—
571C22⋊C4×C83—41no—
572C22⋊C4×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×C83C2×#4112yes—
592C23×C83H(5,𝔽2)12yes—
593C23×C83H(5,𝔽2)12yes—
594C23×C83C2511yescharacteristic
595C22×D83—28no—
596C22×D83—21no—
597C22×D83—21no—
598C22×D83—21no—
599C22×D83—21no—
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—21no—
614C22×D83—21no—
615C22×D83—44no—
616C22×D83—44no—
617C22×D83—44no—
618C22×D83—44no—
619C22×D83—44no—
620C22×D83—44no—
621C22×D83H(5,𝔽2)12yes—
622C22×D832−1+412yes—
623Q8×C83—82no—
624D4×C83—44no—
625D4×C83—44no—
626D4×C83—82no—
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—21no—
662C2×C4×C83—21no—
663C2×C4×C83—44no—
664C2×C4×C83—44no—
665C2×C4×C83—82no—
666C22⋊D83—44no—
667C22⋊D83—44no—
668C22⋊D83—82no—
669C22⋊D83—82no—
670C22⋊D83—82no—
671C22⋊D83—82no—
672C22⋊D83—82no—
673C2×Dic83—28no—
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—21no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—44no—
711C2×Dic83—44no—
712C2×Dic83—82no—
713C2×Dic83—82no—
714C2×Dic83C2×#4112yes—
715C2×Dic83C2×#4112yes—
716C2×Dic83H(5,𝔽2)12yes—
717D332—82no—
718D332—82no—
719C4×D83—44no—
720C4×D83—44no—
721C4×D83—44no—
722C4×D83—44no—
723C4×D83—44no—
724Dic166—44no—
725C22×C83—22no—
726C22×C83—22no—
727C22×C83—22no—
728C22×C83—22no—
729C22×C83—22no—
730C22×C83—22no—
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#53814yes—
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—416no—
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—41no—
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—22no—
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—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—42no—
812D83—42no—
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#2639D8311yescharacteristic, complemented
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⋊Q8C2×D8311yescharacteristic
855C2×#121—831no—
856C2×#121—831no—
857C2×#121—831no—
858C2×#121—831no—
859C2×#121C2×D8311yescharacteristic
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#400C2×D8311yescharacteristic, complemented
877#400C2×D8311yescharacteristic, complemented
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#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, complemented
906#394C2×D8311yescharacteristic, complemented
907#393—831no—
908#393—831no—
909#393—831no—
910#393—831no—
911#393C2×D8311yescharacteristic, complemented
912#393C2×D8311yescharacteristic, complemented
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#386C2×D8311yescharacteristic
965#386C2×D8311yescharacteristic
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#385—831no—
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×#95C2×D8311yescharacteristic
1001C25—831no—
1002C2×#41—3322no—
1003C2×#41—3322no—
1004C2×#41—1664no—
1005C22×Q8—831no—
1006C22×Q8C22×D8311yescharacteristic
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×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—42no—
1042#121—42no—
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⋊C4—831no—
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—831no—
1120C2×C22⋊C4—831no—
1121C2×C22⋊C4—1664no—
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×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#95C22×D8311yescharacteristic
1172#95C22×D8311yescharacteristic
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—41no—
1198C2×Q8—41no—
1199C2×Q8—41no—
1200C2×Q8—3321no—
1201C2×Q8—3321no—
1202C2×Q8—1662no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
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—3321no—
1226C2×D4—3321no—
1227C2×D4—3321no—
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—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
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—3321no—
1258C22×C4—33216no—
1259C22×C4—3321no—
1260C22×C4—3321no—
1261C22×C4—3321no—
1262C22×C4—3321no—
1263C22×C4—3321no—
1264C22×C4—3321no—
1265C22×C4—3321no—
1266C22×C4—3321no—
1267C22×C4—834no—
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—831no—
1279C22×C4—831no—
1280C22×C4—831no—
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—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—3321no—
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—1662no—
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—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—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—3321no—
1383C42—3321no—
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—3324no—
1406C23—3324no—
1407C23—3324no—
1408C23—3324no—
1409C23—3324no—
1410C23—3324no—
1411C23—832no—
1412C23—832no—
1413C23—1668no—
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—
1431C23—1661no—
1432C23—1661no—
1433C23#41×D8312yes—
1434C23#1458183712yes—
1435C23#1458183812yes—
1436C23C24×D8311yescharacteristic
1437Q8—82no—
1438Q8—3324no—
1439D4—44no—
1440D4—44no—
1441D4—82no—
1442D4—3324no—
1443D4—3324no—
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—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—21no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—82no—
1490C2×C4—3324no—
1491C2×C4—3324no—
1492C2×C4—3324no—
1493C2×C4—3324no—
1494C2×C4—3324no—
1495C2×C4—3324no—
1496C2×C4—3324no—
1497C2×C4—832no—
1498C2×C4—832no—
1499C2×C4—832no—
1500C2×C4—6642no—
1501C2×C4—6642no—
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—1668no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
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—33216no—
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—1662no—
1576C22—1662no—
1577C22—1662no—
1578C22—1662no—
1579C22—1662no—
1580C22—1662no—
1581C22#1912828514yes—
1582C22C2×#41×D8311yescharacteristic
1583C22H(5,𝔽2)×D8311yescharacteristic
1584C22H(5,𝔽2)×D8311yescharacteristic
1585C22C2×#1458183711yescharacteristic
1586C22C2×#1458183811yescharacteristic
1587C222−1+4×D8311yescharacteristic
1588C22#1912853611yescharacteristic
1589C4—41no—
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—1662no—
1612C4—1662no—
1613C4—1662no—
1614C2—24no—
1615C2—81no—
1616C2—81no—
1617C2—3322no—
1618C2—3322no—
1619C2—6641no—
1620C2C2×#1912828511yescharacteristic
1621C2#2492116811yescharacteristic
1622C2#2492131011yescharacteristic
1623C2#2492161411yescharacteristic
1624C2#2492165011yescharacteristic
1625C2#2492167011yescharacteristic
1626C2#2492168011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2639C2
hypercenter#2639D83
hypocenterC83#36791
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2639

Complements

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

NH ≅ G/Ntype
1. #24915754C2semidirect
2. #24915744C2semidirect
3. #24915404C2semidirect
4. #24915325C2semidirect
5. #24915216C2semidirect
6. #24915158C2semidirect
7. #24915110C2semidirect
8. #24915086C2semidirect
9. #24914721C2semidirect
10. #24914706C2semidirect
11. #24914625C2semidirect
12. #24914265C2semidirect
13. #24914198C2semidirect
14. #24914187C2semidirect
15. #24914174C2semidirect
16. #24913991C2semidirect
17. #24913874C2semidirect
18. #24913831C2semidirect
19. #24913416C2semidirect
20. #24911723C2semidirect
21. #24911596C2semidirect
22. #24911196C2semidirect
23. #24911135C2semidirect
24. #24911069C2semidirect
25. #24911005C2semidirect
26. #24910851C2semidirect
27. #24910781C2semidirect
28. #24910137C2semidirect
29. #24910050C2semidirect
30. C2×#19127575C2semidirect
31. C83×#2639C2semidirect
34. C2×#14581785C22semidirect
36. C2×#14581776C22semidirect
53. C83⋊#401C22semidirect
54. #19127643C22semidirect
55. #19127642C22semidirect
56. #19127642C22semidirect
57. #19127642C22semidirect
58. #19127641C22semidirect
59. #19127639C22semidirect
60. #19127638C22semidirect
61. #19127634C22semidirect
62. #19127634C22semidirect
63. #19127633C22semidirect
64. #19127630C22semidirect
65. #19127630C22semidirect
66. #19127630C22semidirect
68. #19127626C22semidirect
69. #19127626C22semidirect
72. #19127625C22semidirect
73. #19127624C22semidirect
75. #19127621C22semidirect
76. #19127620C22semidirect
80. #19127617C22semidirect
84. #19127616C22semidirect
87. #19127613C22semidirect
92. #19127609C22semidirect
93. #19127608C22semidirect
94. #19127605C22semidirect
95. #19127605C22semidirect
100. #19127601C22semidirect
101. #19127601C22semidirect
102. #19127598C22semidirect
103. #19127598C22semidirect
104. #19127597C22semidirect
105. #19127594C22semidirect
106. #19127593C22semidirect
112. #19127589C22semidirect
113. #19127589C22semidirect
114. #19127588C22semidirect
115. #19127586C22semidirect
116. #19127586C22semidirect
117. #19127583C22semidirect
118. #19127583C22semidirect
119. #19127582C22semidirect
120. #19127582C22semidirect
123. #19127581C22semidirect
139. #19127577C22semidirect
141. #19127576C22semidirect
155. #19127573C22semidirect
156. #19127573C22semidirect
157. #19127573C22semidirect
158. #19127572C22semidirect
164. #19127560C22semidirect
165. #19127560C22semidirect
167. #19127559C22semidirect
168. #19127559C22semidirect
174. #400×C83C22semidirect
175. #400×C83C22semidirect
176. #397×C83C22semidirect
177. #397×C83C22semidirect
178. #394×C83C22semidirect
179. #394×C83C22semidirect
180. #393×C83C22semidirect
181. #393×C83C22semidirect
833. #2639D83semidirect
845. C83#36791semidirect
876. #400C2×D83semidirect
877. #400C2×D83semidirect
888. #397C2×D83semidirect
889. #397C2×D83semidirect
905. #394C2×D83semidirect
906. #394C2×D83semidirect
911. #393C2×D83semidirect
912. #393C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157542
#249157442
#249154042
#249153252
#249152162
#249151582
#249151102
#249150862
#249147212
#249147062
#249146252
#249142652
#249141982
#249141872
#249141742
#249139912
#249138742
#249138312
#249134162
#249117232
#249115962
#249111962
#249111352
#249110692
#249110052
#249108512
#249107812
#249101372
#249100502
C2×#191275752
C83×#26392
#3679183