Finite Group Databasebeta

← #35612780

Subgroups — #35612780

Order 21248.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915757C211yesmaximal, characteristic, complemented
2#24915743C211yesmaximal, characteristic, complemented
3#24915116C211yesmaximal, characteristic, complemented
4#24915115C211yesmaximal, characteristic, complemented
5#24914944C211yesmaximal, characteristic, complemented
6#24914852C211yesmaximal, characteristic, complemented
7#24914735C211yesmaximal, characteristic, complemented
8#24914679C211yesmaximal, characteristic, complemented
9#24914677C211yesmaximal, characteristic, complemented
10#24914603C211yesmaximal, characteristic, complemented
11#24914535C211yesmaximal, characteristic, complemented
12#24914222C211yesmaximal, characteristic, complemented
13#24914161C211yesmaximal, characteristic, complemented
14#24914147C211yesmaximal, characteristic, complemented
15#24914081C211yesmaximal, characteristic, complemented
16#24914070C211yesmaximal, characteristic, complemented
17#24913896C211yesmaximal, characteristic, complemented
18#24913705C211yesmaximal, characteristic, complemented
19#24913247C211yesmaximal, characteristic, complemented
20#24913208C211yesmaximal, characteristic, complemented
21#24912391C211yesmaximal, characteristic, complemented
22#24912356C211yesmaximal, characteristic, complemented
23#24911184C211yesmaximal, characteristic, complemented
24#24911008C211yesmaximal, characteristic, complemented
25#24910999C211yesmaximal, characteristic, complemented
26#24910942C211yesmaximal, characteristic, complemented
27#24910902C211yesmaximal, characteristic, complemented
28#24910161C211yesmaximal, characteristic, complemented
29#24910091C211yesmaximal, characteristic, complemented
30C2×#19127573C211yesmaximal, characteristic, complemented
31C83×#2418C211yesmaximal, characteristic, complemented
32C24×Dic83C2211yescharacteristic
33C2×#14581782C2211yescharacteristic, complemented
34C2×#14581776C2211yescharacteristic
35C2×#14581776C2211yescharacteristic
36C2×#14581776C2211yescharacteristic
37C2×#14581776C2211yescharacteristic
38C2×#14581773C2211yescharacteristic
39C2×#14581766C2211yescharacteristic
40C2×#14581765C2211yescharacteristic
41C2×#14581765C2211yescharacteristic, complemented
42C2×#14581764C2211yescharacteristic
43C2×#14581764C2211yescharacteristic
44C2×#14581764C2211yescharacteristic
45C2×#14581764C2211yescharacteristic
46C2×#14581761C2211yescharacteristic
47C2×#14581761C2211yescharacteristic
48C2×C4×C22⋊D83C2211yescharacteristic
49C2×(C22⋊D83)⋊C4C2211yescharacteristic
50C22×Dic83⋊C4C2211yescharacteristic
51C22×Dic83⋊C4C2211yescharacteristic
52C22×C22⋊Dic83C2211yescharacteristic
53#19127643C2211yescharacteristic, complemented
54#19127642C2211yescharacteristic, complemented
55#19127642C2211yescharacteristic, complemented
56#19127642C2211yescharacteristic, complemented
57#19127639C2211yescharacteristic, complemented
58#19127637C2211yescharacteristic
59#19127637C2211yescharacteristic
60#19127637C2211yescharacteristic, complemented
61#19127637C2211yescharacteristic, complemented
62#19127635C2211yescharacteristic, complemented
63#19127635C2211yescharacteristic, complemented
64#19127635C2211yescharacteristic, complemented
65#19127634C2211yescharacteristic, complemented
66#19127633C2211yescharacteristic, complemented
67#19127633C2211yescharacteristic, complemented
68#19127631C2211yescharacteristic, complemented
69#19127631C2211yescharacteristic, complemented
70#19127630C2211yescharacteristic, complemented
71#19127629C2211yescharacteristic, complemented
72#19127629C2211yescharacteristic, complemented
73#19127627C2211yescharacteristic, complemented
74#19127626C2211yescharacteristic, complemented
75#19127625C2211yescharacteristic, complemented
76#19127624C2211yescharacteristic
77#19127624C2211yescharacteristic
78#19127624C2211yescharacteristic
79#19127624C2211yescharacteristic, complemented
80#19127623C2211yescharacteristic, complemented
81#19127623C2211yescharacteristic, complemented
82#19127623C2211yescharacteristic, complemented
83#19127623C2211yescharacteristic, complemented
84#19127623C2211yescharacteristic, complemented
85#19127619C2211yescharacteristic, complemented
86#19127619C2211yescharacteristic, complemented
87#19127619C2211yescharacteristic, complemented
88#19127617C2211yescharacteristic, complemented
89#19127616C2211yescharacteristic
90#19127616C2211yescharacteristic
91#19127616C2211yescharacteristic
92#19127616C2211yescharacteristic
93#19127616C2211yescharacteristic, complemented
94#19127610C2211yescharacteristic
95#19127609C2211yescharacteristic
96#19127609C2211yescharacteristic
97#19127604C2211yescharacteristic
98#19127604C2211yescharacteristic
99#19127601C2211yescharacteristic
100#19127601C2211yescharacteristic
101#19127601C2211yescharacteristic
102#19127601C2211yescharacteristic, complemented
103#19127599C2211yescharacteristic, complemented
104#19127598C2211yescharacteristic, complemented
105#19127598C2211yescharacteristic, complemented
106#19127596C2211yescharacteristic, complemented
107#19127594C2211yescharacteristic
108#19127594C2211yescharacteristic
109#19127594C2211yescharacteristic
110#19127593C2211yescharacteristic, complemented
111#19127592C2211yescharacteristic, complemented
112#19127592C2211yescharacteristic, complemented
113#19127591C2211yescharacteristic, complemented
114#19127589C2211yescharacteristic, complemented
115#19127588C2211yescharacteristic, complemented
116#19127588C2211yescharacteristic, complemented
117#19127587C2211yescharacteristic, complemented
118#19127585C2211yescharacteristic, complemented
119#19127582C2211yescharacteristic, complemented
120#19127582C2211yescharacteristic, complemented
121#19127581C2211yescharacteristic
122#19127581C2211yescharacteristic
123#19127581C2211yescharacteristic
124#19127580C2211yescharacteristic
125#19127580C2211yescharacteristic, complemented
126#19127580C2211yescharacteristic, complemented
127#19127578C2211yescharacteristic
128#19127578C2211yescharacteristic
129#19127578C2211yescharacteristic
130#19127578C2211yescharacteristic
131#19127578C2211yescharacteristic
132#19127578C2211yescharacteristic
133#19127578C2211yescharacteristic
134#19127577C2211yescharacteristic
135#19127577C2211yescharacteristic
136#19127577C2211yescharacteristic
137#19127577C2211yescharacteristic, complemented
138#19127576C2211yescharacteristic
139#19127576C2211yescharacteristic
140#19127576C2211yescharacteristic
141#19127576C2211yescharacteristic
142#19127574C2211yescharacteristic
143#19127574C2211yescharacteristic, complemented
144#19127573C2211yescharacteristic
145#19127573C2211yescharacteristic
146#19127573C2211yescharacteristic
147#19127573C2211yescharacteristic
148#19127573C2211yescharacteristic
149#19127573C2211yescharacteristic
150#19127573C2211yescharacteristic
151#19127573C2211yescharacteristic
152#19127572C2211yescharacteristic, complemented
153#19127572C2211yescharacteristic, complemented
154#19127568C2211yescharacteristic, complemented
155#19127566C2211yescharacteristic, complemented
156#19127565C2211yescharacteristic, complemented
157#19127563C2211yescharacteristic, complemented
158#19127563C2211yescharacteristic, complemented
159#19127562C2211yescharacteristic
160#19127562C2211yescharacteristic
161#19127562C2211yescharacteristic
162#19127561C2211yescharacteristic, complemented
163#19127560C2211yescharacteristic, complemented
164#19127559C2211yescharacteristic
165#19127559C2211yescharacteristic
166#19127559C2211yescharacteristic
167#19127559C2211yescharacteristic
168#19127558C2211yescharacteristic, complemented
169C22⋊C4×Dic83C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172C2×#123×C83C2211yescharacteristic
173C2×#120×C83C2211yescharacteristic
174C2×C4×D4×C83C2211yescharacteristic
175C22×C22⋊C4×C83C2211yescharacteristic
176#399×C83C2211yescharacteristic
177#397×C83C2211yescharacteristic
178#394×C83C2211yescharacteristic
179#394×C83C2211yescharacteristic
180#388×C83C2211yescharacteristic
181#388×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic
183#386×C83C2211yescharacteristic
184#385×C83C2211yescharacteristic
185#380×C83C2211yescharacteristic
186#379×C83C2211yescharacteristic
187C22×D332C2311yescharacteristic
188C22×C22⋊D83C2311yescharacteristic
189C22×C22⋊D83C2311yescharacteristic
190C22×C22⋊D83C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C23×Dic83—42no—
197C23×Dic83—42no—
198C23×Dic83—42no—
199C23×Dic83C2311yescharacteristic
200C23×Dic83C2311yescharacteristic
201C23×Dic83C2311yescharacteristic
202C23×Dic83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C23×Dic83C2311yescharacteristic
205C23×Dic83C2311yescharacteristic
206C23×Dic83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208C22×C4×D83C2311yescharacteristic
209#14581782—42no—
210#14581776—42no—
211#14581776—42no—
212#14581776—42no—
213#14581776—42no—
214#14581773—42no—
215#14581766—42no—
216#14581765—42no—
217#14581765—42no—
218#14581764—24no—
219#14581764—42no—
220#14581764—42no—
221#14581764—42no—
222#14581761—42no—
223#14581761—42no—
224C4×C22⋊D83—42no—
225(C22⋊D83)⋊C4—24no—
226C2×C4⋊Dic83C2311yescharacteristic
227C2×C4⋊Dic83C2311yescharacteristic
228C2×C4⋊Dic83C2311yescharacteristic
229C2×C4⋊Dic83C2311yescharacteristic
230C2×C4⋊Dic83C2311yescharacteristic
231C2×C4⋊Dic83C2311yescharacteristic
232C2×C4⋊Dic83C2311yescharacteristic
233C2×C4⋊Dic83C2311yescharacteristic
234C2×C4⋊Dic83C2311yescharacteristic
235C2×Dic83⋊C4—42no—
236C2×Dic83⋊C4—42no—
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×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
257C2×C22⋊Dic83—24no—
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×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×C22⋊Dic83C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×C22⋊Dic83C2311yescharacteristic
272C2×C22⋊Dic83C2311yescharacteristic
273C2×C22⋊Dic83C2311yescharacteristic
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×C4×Dic83C2311yescharacteristic
293C2×C4×Dic83C2311yescharacteristic
294C2×C4×Dic83C2311yescharacteristic
295C2×C4×Dic83C2311yescharacteristic
296C83⋊#95C2311yescharacteristic
297C83⋊#95C2311yescharacteristic
298C83⋊#95C2311yescharacteristic
299C83⋊#95C2311yescharacteristic
300C83⋊#95C2311yescharacteristic
301C83⋊#95C2311yescharacteristic
302C83⋊#95C2311yescharacteristic
303C83⋊#95C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C25×C83C2311yescharacteristic
331C22×D4×C83C2311yescharacteristic
332C22×D4×C83C2311yescharacteristic
333C22×D4×C83C2311yescharacteristic
334C23×C4×C83C2311yescharacteristic
335C23×C4×C83C2311yescharacteristic
336C23×C4×C83C2311yescharacteristic
337#123×C83—42no—
338#120×C83—42no—
339C4×D4×C83—42no—
340C2×C4⋊C4×C83C2311yescharacteristic
341C2×C4⋊C4×C83C2311yescharacteristic
342C2×C4⋊C4×C83C2311yescharacteristic
343C2×C4⋊C4×C83C2311yescharacteristic
344C2×C4⋊C4×C83C2311yescharacteristic
345C2×C22⋊C4×C83—42no—
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×C22⋊C4×C83C2311yescharacteristic
362C2×C42×C83C2311yescharacteristic
363#95×C83C2311yescharacteristic
364#95×C83C2311yescharacteristic
365#95×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369C23×D83C2411yescharacteristic
370C23×D83C2411yescharacteristic
371C2×D332—41no—
372C2×D332—41no—
373C2×D332—41no—
374C2×C22⋊D83—22no—
375C2×C22⋊D83—22no—
376C2×C22⋊D83—22no—
377C2×C22⋊D83—22no—
378C2×C22⋊D83—22no—
379C2×C22⋊D83—22no—
380C2×C22⋊D83—22no—
381C2×C22⋊D83—22no—
382C2×C22⋊D83—22no—
383C2×C22⋊D83—22no—
384C2×C22⋊D83—22no—
385C2×C22⋊D83—22no—
386C2×C22⋊D83—41no—
387C2×C22⋊D83—41no—
388C2×C22⋊D83—41no—
389C2×C22⋊D83—41no—
390C2×C22⋊D83—41no—
391C2×C22⋊D83—41no—
392C2×C22⋊D83—41no—
393C2×C22⋊D83—41no—
394C2×C22⋊D83—41no—
395C2×C22⋊D83—41no—
396C2×C22⋊D83—41no—
397C2×C22⋊D83—41no—
398C22×Dic83—22no—
399C22×Dic83—22no—
400C22×Dic83—22no—
401C22×Dic83—22no—
402C22×Dic83—22no—
403C22×Dic83—22no—
404C22×Dic83—22no—
405C22×Dic83—22no—
406C22×Dic83—22no—
407C22×Dic83—22no—
408C22×Dic83—41no—
409C22×Dic83—41no—
410C22×Dic83—41no—
411C22×Dic83—41no—
412C22×Dic83—41no—
413C22×Dic83—41no—
414C22×Dic83—41no—
415C22×Dic83—41no—
416C22×Dic83—41no—
417C22×Dic83—41no—
418C22×Dic83—41no—
419C22×Dic83—41no—
420C22×Dic83—41no—
421C22×Dic83—416no—
422C22×Dic83#4114yes—
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C22×Dic83C2411yescharacteristic
429C22×Dic83C2411yescharacteristic
430C22×Dic83C2411yescharacteristic
431C22×Dic83C2411yescharacteristic
432C22×Dic83C2411yescharacteristic
433C22×Dic83C2411yescharacteristic
434C22×Dic83C2411yescharacteristic
435C22×Dic83C2411yescharacteristic
436C22×Dic83C2411yescharacteristic
437C2×C4×D83—22no—
438C2×C4×D83—41no—
439C2×C4×D83—41no—
440C2×C4×D83—41no—
441C2×C4×D83—41no—
442C2×C4×D83—41no—
443C4⋊Dic83—22no—
444C4⋊Dic83—41no—
445C4⋊Dic83—41no—
446C4⋊Dic83—41no—
447C4⋊Dic83—41no—
448C4⋊Dic83—41no—
449C4⋊Dic83—41no—
450C4⋊Dic83—41no—
451C4⋊Dic83—41no—
452Dic83⋊C4—22no—
453Dic83⋊C4—22no—
454Dic83⋊C4—22no—
455Dic83⋊C4—22no—
456Dic83⋊C4—22no—
457Dic83⋊C4—41no—
458Dic83⋊C4—41no—
459Dic83⋊C4—41no—
460Dic83⋊C4—41no—
461Dic83⋊C4—41no—
462Dic83⋊C4—41no—
463Dic83⋊C4—41no—
464Dic83⋊C4—41no—
465Dic83⋊C4—41no—
466Dic83⋊C4—41no—
467Dic83⋊C4—41no—
468Dic83⋊C4—41no—
469Dic83⋊C4—41no—
470Dic83⋊C4—41no—
471Dic83⋊C4—41no—
472C22⋊Dic83—22no—
473C22⋊Dic83—22no—
474C22⋊Dic83—22no—
475C22⋊Dic83—22no—
476C22⋊Dic83—22no—
477C22⋊Dic83—22no—
478C22⋊Dic83—22no—
479C22⋊Dic83—41no—
480C22⋊Dic83—41no—
481C22⋊Dic83—41no—
482C22⋊Dic83—41no—
483C22⋊Dic83—41no—
484C22⋊Dic83—41no—
485C22⋊Dic83—41no—
486C22⋊Dic83—41no—
487C22⋊Dic83—41no—
488(C2×D83)⋊C4—22no—
489(C2×D83)⋊C4—22no—
490(C2×D83)⋊C4—22no—
491(C2×D83)⋊C4—41no—
492(C2×D83)⋊C4—41no—
493(C2×D83)⋊C4—41no—
494(C2×D83)⋊C4—41no—
495(C2×D83)⋊C4—41no—
496(C2×D83)⋊C4—41no—
497(C2×D83)⋊C4—41no—
498(C2×D83)⋊C4—41no—
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—
506C4×Dic83—22no—
507C4×Dic83—41no—
508C4×Dic83—41no—
509C4×Dic83—41no—
510C24×C83—22no—
511C24×C83—22no—
512C24×C83—22no—
513C24×C83—22no—
514C24×C83—22no—
515C24×C83—41no—
516C24×C83—41no—
517C24×C83C2411yescharacteristic
518C24×C83C2411yescharacteristic
519C24×C83C2411yescharacteristic
520C24×C83C2411yescharacteristic
521C2×D4×C83—22no—
522C2×D4×C83—22no—
523C2×D4×C83—22no—
524C2×D4×C83—22no—
525C2×D4×C83—22no—
526C2×D4×C83—41no—
527C2×D4×C83—41no—
528C2×D4×C83—41no—
529C2×D4×C83—41no—
530C22×C4×C83—22no—
531C22×C4×C83—22no—
532C22×C4×C83—41no—
533C22×C4×C83—41no—
534C22×C4×C83—41no—
535C22×C4×C83—41no—
536C22×C4×C83—41no—
537C22×C4×C83—41no—
538C22×C4×C83—41no—
539C22×C4×C83C2411yescharacteristic
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
550C4⋊C4×C83—41no—
551C4⋊C4×C83—41no—
552C4⋊C4×C83—41no—
553C4⋊C4×C83—41no—
554C4⋊C4×C83—41no—
555C22⋊C4×C83—22no—
556C22⋊C4×C83—22no—
557C22⋊C4×C83—22no—
558C22⋊C4×C83—22no—
559C22⋊C4×C83—22no—
560C22⋊C4×C83—22no—
561C22⋊C4×C83—22no—
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—
572C23×C83—21no—
573C23×C83—21no—
574C23×C83—21no—
575C23×C83—21no—
576C23×C83—28no—
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×C83—21no—
594C23×C83—21no—
595C23×C83—21no—
596C23×C83—44no—
597C23×C83—44no—
598C23×C83—44no—
599C23×C83—44no—
600C23×C83—44no—
601C23×C83—44no—
602C23×C83C2×#4112yes—
603C23×C83H(5,𝔽2)12yes—
604C23×C83H(5,𝔽2)12yes—
605C23×C83H(5,𝔽2)12yes—
606C23×C832−1+412yes—
607C23×C83C2511yescharacteristic
608C22×D83—21no—
609C22×D83—21no—
610C22×D83—21no—
611C22×D83—21no—
612C22×D83—21no—
613C22×D83—21no—
614C22×D83—21no—
615C22×D83—21no—
616C22×D83—21no—
617C22×D83—21no—
618C22×D83—21no—
619C22×D83—21no—
620C22×D83—21no—
621C22×D83—21no—
622D4×C83—44no—
623D4×C83—82no—
624D4×C83—82no—
625C2×C4×C83—21no—
626C2×C4×C83—21no—
627C2×C4×C83—21no—
628C2×C4×C83—21no—
629C2×C4×C83—21no—
630C2×C4×C83—21no—
631C2×C4×C83—21no—
632C2×C4×C83—21no—
633C2×C4×C83—21no—
634C2×C4×C83—21no—
635C2×C4×C83—21no—
636C2×C4×C83—21no—
637C2×C4×C83—21no—
638C2×C4×C83—21no—
639C2×C4×C83—21no—
640C2×C4×C83—21no—
641C2×C4×C83—21no—
642C2×C4×C83—21no—
643C2×C4×C83—21no—
644C2×C4×C83—21no—
645C2×C4×C83—21no—
646C2×C4×C83—21no—
647C2×C4×C83—21no—
648C2×C4×C83—21no—
649C2×C4×C83—21no—
650C2×C4×C83—21no—
651C2×C4×C83—21no—
652C2×C4×C83—21no—
653C2×C4×C83—21no—
654C2×C4×C83—21no—
655C2×C4×C83—21no—
656C2×C4×C83—21no—
657C2×C4×C83—21no—
658C2×C4×C83—82no—
659C2×C4×C83—82no—
660C2×C4×C83—82no—
661C22⋊D83—44no—
662C22⋊D83—44no—
663C22⋊D83—82no—
664C22⋊D83—82no—
665C22⋊D83—82no—
666C22⋊D83—82no—
667C22⋊D83—82no—
668C22⋊D83—82no—
669C2×Dic83—21no—
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—21no—
708C2×Dic83—44no—
709C2×Dic83—44no—
710C2×Dic83—44no—
711C2×Dic83—44no—
712C2×Dic83—44no—
713C2×Dic83—44no—
714C2×Dic83—44no—
715C2×Dic83—44no—
716C2×Dic83C2×#4112yes—
717C2×Dic83C2×#4112yes—
718C2×Dic83H(5,𝔽2)12yes—
719D332—82no—
720C4×D83—82no—
721C4×D83—82no—
722C22×C83—22no—
723C22×C83—22no—
724C22×C83—22no—
725C22×C83—22no—
726C22×C83—22no—
727C22×C83—22no—
728C22×C83—22no—
729C22×C83—22no—
730C22×C83—22no—
731C22×C83—22no—
732C22×C83—22no—
733C22×C83—22no—
734C22×C83—416no—
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×C83—41no—
747C22×C83—41no—
748C22×C83—41no—
749C22×C83—41no—
750C22×C83#54014yes—
751C22×C83C22×#4111yescharacteristic
752C22×C83C2×H(5,𝔽2)11yescharacteristic
753C22×C83C2×H(5,𝔽2)11yescharacteristic
754C22×C83C2×H(5,𝔽2)11yescharacteristic
755C22×C83C2×H(5,𝔽2)11yescharacteristic
756C22×C83C2×2−1+411yescharacteristic
757C22×C83#58511yescharacteristic
758C2×D83—41no—
759C2×D83—41no—
760C2×D83—41no—
761C2×D83—41no—
762C2×D83—41no—
763C2×D83—41no—
764C2×D83—41no—
765C2×D83—41no—
766C2×D83—41no—
767C2×D83—41no—
768C2×D83—41no—
769C2×D83—41no—
770C2×D83—41no—
771C2×D83—41no—
772C4×C83—41no—
773C4×C83—41no—
774C4×C83—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—
783Dic83—22no—
784Dic83—22no—
785Dic83—22no—
786Dic83—41no—
787Dic83—41no—
788Dic83—41no—
789Dic83—41no—
790Dic83—41no—
791Dic83—41no—
792Dic83—41no—
793Dic83—41no—
794Dic83—41no—
795Dic83—41no—
796Dic83—41no—
797#36777—831nomaximal, Sylow
798C2×C83—24no—
799C2×C83—42no—
800C2×C83—42no—
801C2×C83—81no—
802C2×C83C2×#54011yescharacteristic
803C2×C83#349211yescharacteristic
804C2×C83#350511yescharacteristic
805C2×C83#353211yescharacteristic
806C2×C83#353411yescharacteristic
807C2×C83#353511yescharacteristic
808C2×C83#353611yescharacteristic
809D83—81no—
810D83—81no—
811#2849—831no—
812#2847—831no—
813#2780—831no—
814#2780—831no—
815#2768—831no—
816#2761—831no—
817#2753—831no—
818#2749—831no—
819#2748—831no—
820#2743—831no—
821#2738—831no—
822#2711—831no—
823#2707—831no—
824#2706—831no—
825#2701—831no—
826#2701—831no—
827#2688—831no—
828#2671—831no—
829#2623—831no—
830#2618—831no—
831#2539—831no—
832#2534—831no—
833#2442—831no—
834#2425—831no—
835#2424—831no—
836#2419—831no—
837#2418D8311yescharacteristic, complemented
838#2416—831no—
839#2325—831no—
840#2318—831no—
841C2×#385—831no—
842C83#3677711yescharacteristic, complemented, Sylow
843C24×C4—831no—
844C2×#125—831no—
845C2×#123—831no—
846C2×#123—831no—
847C2×#123—831no—
848C2×#123—831no—
849C2×#123—831no—
850C2×#123C2×D8311yescharacteristic
851C2×#121—831no—
852C2×#121—831no—
853C2×#121—831no—
854C2×#121—831no—
855C2×#121—831no—
856C2×#121—831no—
857C2×#121—831no—
858C2×#120—831no—
859C2×#120—831no—
860C2×#120C2×D8311yescharacteristic
861C2×C4×D4—831no—
862C2×C4×D4—831no—
863C2×C4×D4C2×D8311yescharacteristic
864C22×C4⋊C4—831no—
865C22×C4⋊C4—831no—
866C22×C22⋊C4—831no—
867C22×C22⋊C4C2×D8311yescharacteristic
868#400—831no—
869#400—831no—
870#400—831no—
871#400—831no—
872#400—831no—
873#399—831no—
874#399—831no—
875#399—831no—
876#399—831no—
877#399C2×D8311yescharacteristic
878#398—831no—
879#398—831no—
880#398—831no—
881#398—831no—
882#398—831no—
883#398—831no—
884#398—831no—
885#398—831no—
886#397—831no—
887#397—831no—
888#397—831no—
889#397—831no—
890#397—831no—
891#397C2×D8311yescharacteristic
892#396—831no—
893#396—831no—
894#396—831no—
895#396—831no—
896#396—831no—
897#396—831no—
898#396—831no—
899#396—831no—
900#396—831no—
901#396—831no—
902#394—831no—
903#394—831no—
904#394—831no—
905#394—831no—
906#394—831no—
907#394—831no—
908#394—831no—
909#394—831no—
910#394—831no—
911#394C2×D8311yescharacteristic
912#394C2×D8311yescharacteristic
913#392—831no—
914#392—831no—
915#392—831no—
916#390—831no—
917#390—831no—
918#390—831no—
919#390—831no—
920#390—831no—
921#390—831no—
922#389—831no—
923#389—831no—
924#389—831no—
925#389—831no—
926#388—831no—
927#388—831no—
928#388—831no—
929#388—831no—
930#388—831no—
931#388—831no—
932#388—831no—
933#388—831no—
934#388C2×D8311yescharacteristic
935#388C2×D8311yescharacteristic
936#387—831no—
937#387—831no—
938#387—831no—
939#387—831no—
940#387—831no—
941#387—831no—
942#386—831no—
943#386—831no—
944#386—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#386C2×D8311yescharacteristic
960#386C2×D8311yescharacteristic
961#385—831no—
962#385—831no—
963#385—831no—
964#385—831no—
965#385—831no—
966#385—831no—
967#385—831no—
968#385—831no—
969#385—831no—
970#385—831no—
971#385—831no—
972#385—831no—
973#385—831no—
974#385—831no—
975#385—831no—
976#385—831no—
977#385C2×D8311yescharacteristic
978#383—831no—
979#382—831no—
980#382—831no—
981#381—831no—
982#381—831no—
983#381—831no—
984#381—831no—
985#381—831no—
986#380—831no—
987#380—831no—
988#380—831no—
989#380—831no—
990#380—831no—
991#380—831no—
992#380—831no—
993#380C2×D8311yescharacteristic
994#379C2×D8311yescharacteristic
995C4×C22⋊C4—831no—
996C2×#95—831no—
997C2×#95—831no—
998C25C22×D8311yescharacteristic
999C22×D4—831no—
1000C22×D4—831no—
1001C22×D4—831no—
1002C22×D4—831no—
1003C22×D4—831no—
1004C22×D4—831no—
1005C22×D4—831no—
1006C22×D4—831no—
1007C22×D4—831no—
1008C22×D4C22×D8311yescharacteristic
1009C22×D4C22×D8311yescharacteristic
1010C22×D4C22×D8311yescharacteristic
1011C23×C4—3322no—
1012C23×C4—3322no—
1013C23×C4—3322no—
1014C23×C4—831no—
1015C23×C4—831no—
1016C23×C4—831no—
1017C23×C4—831no—
1018C23×C4—831no—
1019C23×C4—831no—
1020C23×C4—831no—
1021C23×C4—831no—
1022C23×C4—831no—
1023C23×C4—831no—
1024C23×C4C22×D8311yescharacteristic
1025C23×C4C22×D8311yescharacteristic
1026C23×C4C22×D8311yescharacteristic
1027#125—3322no—
1028#123—42no—
1029#123—3322no—
1030#123—3322no—
1031#123—3322no—
1032#123—3322no—
1033#123—3322no—
1034#121—3322no—
1035#121—3322no—
1036#121—3322no—
1037#121—3322no—
1038#121—3322no—
1039#121—3322no—
1040#121—1664no—
1041#120—42no—
1042#120—3322no—
1043#120—3322no—
1044C4×D4—42no—
1045C4×D4—3322no—
1046C4×D4—1664no—
1047C2×C4⋊C4—3322no—
1048C2×C4⋊C4—3322no—
1049C2×C4⋊C4—831no—
1050C2×C4⋊C4—831no—
1051C2×C4⋊C4—831no—
1052C2×C4⋊C4—831no—
1053C2×C4⋊C4—831no—
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×C4⋊C4C22×D8311yescharacteristic
1083C2×C22⋊C4—42no—
1084C2×C22⋊C4—831no—
1085C2×C22⋊C4—831no—
1086C2×C22⋊C4—831no—
1087C2×C22⋊C4—831no—
1088C2×C22⋊C4—831no—
1089C2×C22⋊C4—831no—
1090C2×C22⋊C4—831no—
1091C2×C22⋊C4—831no—
1092C2×C22⋊C4—831no—
1093C2×C22⋊C4—831no—
1094C2×C22⋊C4—831no—
1095C2×C22⋊C4—831no—
1096C2×C22⋊C4—831no—
1097C2×C22⋊C4—831no—
1098C2×C22⋊C4—831no—
1099C2×C22⋊C4—831no—
1100C2×C22⋊C4—831no—
1101C2×C22⋊C4—831no—
1102C2×C22⋊C4—831no—
1103C2×C22⋊C4—831no—
1104C2×C22⋊C4—831no—
1105C2×C22⋊C4—831no—
1106C2×C22⋊C4—831no—
1107C2×C22⋊C4—831no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—831no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—831no—
1118C2×C22⋊C4—1664no—
1119C2×C22⋊C4C22×D8311yescharacteristic
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×C22⋊C4C22×D8311yescharacteristic
1135C2×C42—831no—
1136C2×C42—831no—
1137C2×C42—831no—
1138C2×C42—831no—
1139C2×C42C22×D8311yescharacteristic
1140#95—831no—
1141#95—831no—
1142#95—831no—
1143#95—831no—
1144#95—831no—
1145#95—831no—
1146#95—831no—
1147#95—831no—
1148#95—831no—
1149#95—831no—
1150#95—831no—
1151#95—831no—
1152#95—831no—
1153#95—831no—
1154#95—831no—
1155#95—831no—
1156#95—831no—
1157#95—831no—
1158#95—831no—
1159#95—831no—
1160#95—831no—
1161#95—831no—
1162#95—831no—
1163#95—831no—
1164#95—831no—
1165#95—831no—
1166#95—831no—
1167#95—831no—
1168#95—831no—
1169#95—831no—
1170#95—831no—
1171#95—831no—
1172#95—831no—
1173#95—831no—
1174#95C22×D8311yescharacteristic
1175#95C22×D8311yescharacteristic
1176#95C22×D8311yescharacteristic
1177#95C22×D8311yescharacteristic
1178#95C22×D8311yescharacteristic
1179#95C22×D8311yescharacteristic
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—41no—
1186C24—41no—
1187C24—831no—
1188C24—831no—
1189C24C23×D8311yescharacteristic
1190C24C23×D8311yescharacteristic
1191C24C23×D8311yescharacteristic
1192C24C23×D8311yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—3321no—
1203C2×D4—3321no—
1204C2×D4—3321no—
1205C2×D4—3321no—
1206C2×D4—3321no—
1207C2×D4—3321no—
1208C2×D4—3321no—
1209C2×D4—3321no—
1210C2×D4—3321no—
1211C2×D4—3321no—
1212C2×D4—3321no—
1213C2×D4—3321no—
1214C2×D4—3321no—
1215C2×D4—3321no—
1216C2×D4—3321no—
1217C2×D4—1662no—
1218C2×D4—1662no—
1219C2×D4—1662no—
1220C2×D4—1662no—
1221C2×D4—1662no—
1222C2×D4—1662no—
1223C2×D4—1662no—
1224C2×D4—1662no—
1225C2×D4—1662no—
1226C2×D4—1662no—
1227C2×D4—1662no—
1228C2×D4—1662no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—3321no—
1239C22×C4—3321no—
1240C22×C4—3321no—
1241C22×C4—3321no—
1242C22×C4—3321no—
1243C22×C4—33216no—
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—834no—
1258C22×C4—831no—
1259C22×C4—831no—
1260C22×C4—831no—
1261C22×C4—831no—
1262C22×C4—831no—
1263C22×C4—831no—
1264C22×C4—831no—
1265C22×C4—831no—
1266C22×C4—831no—
1267C22×C4—831no—
1268C22×C4—831no—
1269C22×C4—831no—
1270C22×C4—831no—
1271C22×C4—831no—
1272C22×C4—1662no—
1273C22×C4—1662no—
1274C22×C4—1662no—
1275C22×C4—1662no—
1276C22×C4—1662no—
1277C22×C4—1662no—
1278C22×C4—1662no—
1279C22×C4—1662no—
1280C22×C4—1662no—
1281C22×C4—1662no—
1282C22×C4—1662no—
1283C22×C4C23×D8311yescharacteristic
1284C22×C4C23×D8311yescharacteristic
1285C22×C4C23×D8311yescharacteristic
1286C22×C4C23×D8311yescharacteristic
1287C22×C4C23×D8311yescharacteristic
1288C22×C4C23×D8311yescharacteristic
1289C22×C4C23×D8311yescharacteristic
1290C22×C4C23×D8311yescharacteristic
1291C22×C4C23×D8311yescharacteristic
1292C22×C4C23×D8311yescharacteristic
1293C22×C4C23×D8311yescharacteristic
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—3321no—
1300C4⋊C4—3321no—
1301C4⋊C4—3321no—
1302C4⋊C4—3321no—
1303C4⋊C4—3321no—
1304C4⋊C4—3321no—
1305C4⋊C4—3321no—
1306C4⋊C4—3321no—
1307C4⋊C4—3321no—
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—1662no—
1323C4⋊C4—1662no—
1324C4⋊C4—1662no—
1325C4⋊C4—1662no—
1326C4⋊C4—1662no—
1327C4⋊C4—1662no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
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—
1378C42—41no—
1379C42—3321no—
1380C42—3321no—
1381C42—3321no—
1382C42—1662no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—28no—
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—44no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—1661no—
1414C23—1661no—
1415C23—1661no—
1416C23—1661no—
1417C23—1661no—
1418C23—1661no—
1419C23—1661no—
1420C23—1661no—
1421C23—1661no—
1422C23—1661no—
1423C23—1661no—
1424C23—1661no—
1425C23—1661no—
1426C23—1661no—
1427C23#41×D8312yes—
1428C23#1458183712yes—
1429C23#1458183712yes—
1430C23#1458183812yes—
1431C23#1458183912yes—
1432C23C24×D8311yescharacteristic
1433D4—44no—
1434D4—82no—
1435D4—82no—
1436D4—3324no—
1437D4—3324no—
1438D4—6642no—
1439D4—6642no—
1440D4—6642no—
1441D4—6642no—
1442D4—6642no—
1443D4—6642no—
1444D4—6642no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
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—82no—
1479C2×C4—82no—
1480C2×C4—82no—
1481C2×C4—3324no—
1482C2×C4—3324no—
1483C2×C4—3324no—
1484C2×C4—3324no—
1485C2×C4—3324no—
1486C2×C4—3324no—
1487C2×C4—3324no—
1488C2×C4—3324no—
1489C2×C4—832no—
1490C2×C4—832no—
1491C2×C4—832no—
1492C2×C4—6642no—
1493C2×C4—6642no—
1494C2×C4—1661no—
1495C2×C4—1661no—
1496C2×C4—1661no—
1497C2×C4—1661no—
1498C2×C4—1661no—
1499C2×C4—1661no—
1500C2×C4—1661no—
1501C2×C4—1661no—
1502C2×C4—1661no—
1503C2×C4—1661no—
1504C2×C4—1661no—
1505C2×C4—1661no—
1506C2×C4—1661no—
1507C2×C4—1661no—
1508C2×C4—1661no—
1509C2×C4—1661no—
1510C2×C4—1661no—
1511C2×C4—1661no—
1512C2×C4—1661no—
1513C2×C4—1661no—
1514C2×C4—1661no—
1515C2×C4—1661no—
1516C2×C4—1661no—
1517C2×C4—1661no—
1518C2×C4—1661no—
1519C2×C4—1661no—
1520C2×C4—1661no—
1521C2×C4—1661no—
1522C2×C4—1661no—
1523C2×C4—1661no—
1524C2×C4—1661no—
1525C2×C4—1661no—
1526C2×C4—1661no—
1527C2×C4—1661no—
1528C2×C4—1661no—
1529C2×C4—1661no—
1530C2×C4—1661no—
1531C2×C4—1661no—
1532C2×C4—1661no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—416no—
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—41no—
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#1912830314yes—
1576C22C2×#41×D8311yescharacteristic
1577C22H(5,𝔽2)×D8311yescharacteristic
1578C22C2×#1458183711yescharacteristic
1579C22C2×#1458183711yescharacteristic
1580C22C2×#1458183811yescharacteristic
1581C22C2×#1458183911yescharacteristic
1582C22#1912853611yescharacteristic
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—3321no—
1595C4—3321no—
1596C4—3321no—
1597C4—3321no—
1598C4—3321no—
1599C4—3321no—
1600C4—3321no—
1601C4—3321no—
1602C4—3321no—
1603C4—3321no—
1604C4—3321no—
1605C4—1662no—
1606C4—1662no—
1607C4—1662no—
1608C2—24no—
1609C2—42no—
1610C2—42no—
1611C2—81no—
1612C2—6641no—
1613C2—6641no—
1614C2C2×#1912830311yescharacteristic
1615C2#2492116411yescharacteristic
1616C2#2492130111yescharacteristic
1617C2#2492161211yescharacteristic
1618C2#2492164111yescharacteristic
1619C2#2492166811yescharacteristic
1620C2#2492167811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2418C2
hypercenter#2418D83
hypocenterC83#36777
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. #24915757C2semidirect
2. #24915743C2semidirect
3. #24915116C2semidirect
4. #24915115C2semidirect
5. #24914944C2semidirect
6. #24914852C2semidirect
7. #24914735C2semidirect
8. #24914679C2semidirect
9. #24914677C2semidirect
10. #24914603C2semidirect
11. #24914535C2semidirect
12. #24914222C2semidirect
13. #24914161C2semidirect
14. #24914147C2semidirect
15. #24914081C2semidirect
16. #24914070C2semidirect
17. #24913896C2semidirect
18. #24913705C2semidirect
19. #24913247C2semidirect
20. #24913208C2semidirect
21. #24912391C2semidirect
22. #24912356C2semidirect
23. #24911184C2semidirect
24. #24911008C2semidirect
25. #24910999C2semidirect
26. #24910942C2semidirect
27. #24910902C2semidirect
28. #24910161C2semidirect
29. #24910091C2semidirect
30. C2×#19127573C2semidirect
31. C83×#2418C2semidirect
33. C2×#14581782C22semidirect
41. C2×#14581765C22semidirect
53. #19127643C22semidirect
54. #19127642C22semidirect
55. #19127642C22semidirect
56. #19127642C22semidirect
57. #19127639C22semidirect
60. #19127637C22semidirect
61. #19127637C22semidirect
62. #19127635C22semidirect
63. #19127635C22semidirect
64. #19127635C22semidirect
65. #19127634C22semidirect
66. #19127633C22semidirect
67. #19127633C22semidirect
68. #19127631C22semidirect
69. #19127631C22semidirect
70. #19127630C22semidirect
71. #19127629C22semidirect
72. #19127629C22semidirect
73. #19127627C22semidirect
74. #19127626C22semidirect
75. #19127625C22semidirect
79. #19127624C22semidirect
80. #19127623C22semidirect
81. #19127623C22semidirect
82. #19127623C22semidirect
83. #19127623C22semidirect
84. #19127623C22semidirect
85. #19127619C22semidirect
86. #19127619C22semidirect
87. #19127619C22semidirect
88. #19127617C22semidirect
93. #19127616C22semidirect
102. #19127601C22semidirect
103. #19127599C22semidirect
104. #19127598C22semidirect
105. #19127598C22semidirect
106. #19127596C22semidirect
110. #19127593C22semidirect
111. #19127592C22semidirect
112. #19127592C22semidirect
113. #19127591C22semidirect
114. #19127589C22semidirect
115. #19127588C22semidirect
116. #19127588C22semidirect
117. #19127587C22semidirect
118. #19127585C22semidirect
119. #19127582C22semidirect
120. #19127582C22semidirect
125. #19127580C22semidirect
126. #19127580C22semidirect
137. #19127577C22semidirect
143. #19127574C22semidirect
152. #19127572C22semidirect
153. #19127572C22semidirect
154. #19127568C22semidirect
155. #19127566C22semidirect
156. #19127565C22semidirect
157. #19127563C22semidirect
158. #19127563C22semidirect
162. #19127561C22semidirect
163. #19127560C22semidirect
168. #19127558C22semidirect
837. #2418D83semidirect
842. C83#36777semidirect

Maximal subgroups

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

subgroupindex
#249157572
#249157432
#249151162
#249151152
#249149442
#249148522
#249147352
#249146792
#249146772
#249146032
#249145352
#249142222
#249141612
#249141472
#249140812
#249140702
#249138962
#249137052
#249132472
#249132082
#249123912
#249123562
#249111842
#249110082
#249109992
#249109422
#249109022
#249101612
#249100912
C2×#191275732
C83×#24182
#3677783