Finite Group Databasebeta

← #35612755

Subgroups — #35612755

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#24915752C211yesmaximal, characteristic, complemented
2#24915742C211yesmaximal, characteristic, complemented
3#24915116C211yesmaximal, characteristic, complemented
4#24915109C211yesmaximal, characteristic, complemented
5#24914949C211yesmaximal, characteristic, complemented
6#24914852C211yesmaximal, characteristic, complemented
7#24914739C211yesmaximal, characteristic, complemented
8#24914690C211yesmaximal, characteristic, complemented
9#24914673C211yesmaximal, characteristic, complemented
10#24914606C211yesmaximal, characteristic, complemented
11#24914537C211yesmaximal, characteristic, complemented
12#24914227C211yesmaximal, characteristic, complemented
13#24914162C211yesmaximal, characteristic, complemented
14#24914158C211yesmaximal, characteristic, complemented
15#24914072C211yesmaximal, characteristic, complemented
16#24914072C211yesmaximal, characteristic, complemented
17#24913895C211yesmaximal, characteristic, complemented
18#24913248C211yesmaximal, characteristic, complemented
19#24913204C211yesmaximal, characteristic, complemented
20#24912388C211yesmaximal, characteristic, complemented
21#24912351C211yesmaximal, characteristic, complemented
22#24911182C211yesmaximal, characteristic, complemented
23#24911015C211yesmaximal, characteristic, complemented
24#24910996C211yesmaximal, characteristic, complemented
25#24910939C211yesmaximal, characteristic, complemented
26#24910918C211yesmaximal, characteristic, complemented
27#24910899C211yesmaximal, characteristic, complemented
28#24910165C211yesmaximal, characteristic, complemented
29#24910098C211yesmaximal, characteristic, complemented
30#385×D83C211yesmaximal, characteristic, complemented
31C83×#2671C211yesmaximal, characteristic, complemented
32C23×C4×D83C2211yescharacteristic
33C2×#14581782C2211yescharacteristic, complemented
34C2×#14581774C2211yescharacteristic
35C2×#14581774C2211yescharacteristic
36C2×#14581774C2211yescharacteristic
37C2×#14581773C2211yescharacteristic
38C2×#14581773C2211yescharacteristic
39C2×#14581763C2211yescharacteristic
40C2×#14581763C2211yescharacteristic
41C2×#14581763C2211yescharacteristic
42C2×#14581763C2211yescharacteristic
43C2×#14581760C2211yescharacteristic
44C2×#14581760C2211yescharacteristic
45C2×#14581760C2211yescharacteristic
46C2×C4×C22⋊D83C2211yescharacteristic
47C2×C4×C22⋊D83C2211yescharacteristic
48C2×(C22⋊D83)⋊C4C2211yescharacteristic
49C2×C4⋊C4×D83C2211yescharacteristic
50C2×C4⋊C4×D83C2211yescharacteristic
51C2×C22⋊C4×D83C2211yescharacteristic
52C2×C22⋊C4×D83C2211yescharacteristic
53#19127643C2211yescharacteristic, complemented
54#19127642C2211yescharacteristic, complemented
55#19127641C2211yescharacteristic, complemented
56#19127640C2211yescharacteristic, complemented
57#19127639C2211yescharacteristic, complemented
58#19127638C2211yescharacteristic
59#19127637C2211yescharacteristic
60#19127637C2211yescharacteristic, complemented
61#19127636C2211yescharacteristic
62#19127635C2211yescharacteristic, complemented
63#19127635C2211yescharacteristic, complemented
64#19127634C2211yescharacteristic, complemented
65#19127634C2211yescharacteristic, complemented
66#19127634C2211yescharacteristic, complemented
67#19127633C2211yescharacteristic, complemented
68#19127631C2211yescharacteristic, complemented
69#19127629C2211yescharacteristic
70#19127629C2211yescharacteristic, complemented
71#19127629C2211yescharacteristic, complemented
72#19127629C2211yescharacteristic, complemented
73#19127626C2211yescharacteristic, complemented
74#19127626C2211yescharacteristic, complemented
75#19127625C2211yescharacteristic
76#19127624C2211yescharacteristic
77#19127624C2211yescharacteristic, complemented
78#19127624C2211yescharacteristic, complemented
79#19127624C2211yescharacteristic, complemented
80#19127624C2211yescharacteristic, complemented
81#19127624C2211yescharacteristic, complemented
82#19127624C2211yescharacteristic, complemented
83#19127624C2211yescharacteristic, complemented
84#19127623C2211yescharacteristic
85#19127616C2211yescharacteristic
86#19127616C2211yescharacteristic
87#19127615C2211yescharacteristic
88#19127615C2211yescharacteristic
89#19127615C2211yescharacteristic
90#19127615C2211yescharacteristic, complemented
91#19127615C2211yescharacteristic, complemented
92#19127615C2211yescharacteristic, complemented
93#19127609C2211yescharacteristic
94#19127609C2211yescharacteristic
95#19127604C2211yescharacteristic
96#19127604C2211yescharacteristic
97#19127604C2211yescharacteristic, complemented
98#19127601C2211yescharacteristic
99#19127601C2211yescharacteristic
100#19127601C2211yescharacteristic
101#19127600C2211yescharacteristic, complemented
102#19127600C2211yescharacteristic, complemented
103#19127596C2211yescharacteristic, complemented
104#19127596C2211yescharacteristic, complemented
105#19127595C2211yescharacteristic
106#19127595C2211yescharacteristic, complemented
107#19127595C2211yescharacteristic, complemented
108#19127595C2211yescharacteristic, complemented
109#19127594C2211yescharacteristic
110#19127593C2211yescharacteristic
111#19127590C2211yescharacteristic
112#19127589C2211yescharacteristic
113#19127589C2211yescharacteristic, complemented
114#19127589C2211yescharacteristic, complemented
115#19127587C2211yescharacteristic, complemented
116#19127586C2211yescharacteristic, complemented
117#19127584C2211yescharacteristic, complemented
118#19127584C2211yescharacteristic, complemented
119#19127582C2211yescharacteristic, complemented
120#19127582C2211yescharacteristic, complemented
121#19127581C2211yescharacteristic
122#19127581C2211yescharacteristic
123#19127581C2211yescharacteristic, complemented
124#19127581C2211yescharacteristic, complemented
125#19127580C2211yescharacteristic
126#19127580C2211yescharacteristic
127#19127578C2211yescharacteristic
128#19127577C2211yescharacteristic
129#19127577C2211yescharacteristic
130#19127577C2211yescharacteristic
131#19127577C2211yescharacteristic
132#19127577C2211yescharacteristic
133#19127577C2211yescharacteristic
134#19127577C2211yescharacteristic
135#19127577C2211yescharacteristic
136#19127577C2211yescharacteristic
137#19127577C2211yescharacteristic
138#19127576C2211yescharacteristic
139#19127575C2211yescharacteristic
140#19127575C2211yescharacteristic
141#19127574C2211yescharacteristic
142#19127574C2211yescharacteristic, complemented
143#19127573C2211yescharacteristic
144#19127573C2211yescharacteristic, complemented
145#19127572C2211yescharacteristic
146#19127572C2211yescharacteristic
147#19127572C2211yescharacteristic
148#19127572C2211yescharacteristic
149#19127572C2211yescharacteristic
150#19127572C2211yescharacteristic
151#19127572C2211yescharacteristic
152#19127572C2211yescharacteristic
153#19127568C2211yescharacteristic, complemented
154#19127565C2211yescharacteristic, complemented
155#19127565C2211yescharacteristic, complemented
156#19127564C2211yescharacteristic
157#19127564C2211yescharacteristic, complemented
158#19127564C2211yescharacteristic, complemented
159#19127563C2211yescharacteristic
160#19127562C2211yescharacteristic
161#19127561C2211yescharacteristic
162#19127561C2211yescharacteristic, complemented
163#19127560C2211yescharacteristic
164#19127560C2211yescharacteristic
165#19127559C2211yescharacteristic, complemented
166#19127558C2211yescharacteristic
167#19127558C2211yescharacteristic
168#19127556C2211yescharacteristic
169#19127548C2211yescharacteristic
170#95×D83C2211yescharacteristic
171#95×D83C2211yescharacteristic
172C2×#123×C83C2211yescharacteristic
173C2×#121×C83C2211yescharacteristic
174C2×#121×C83C2211yescharacteristic
175C2×#121×C83C2211yescharacteristic, complemented
176#399×C83C2211yescharacteristic, complemented
177#398×C83C2211yescharacteristic, complemented
178#394×C83C2211yescharacteristic
179#394×C83C2211yescharacteristic, complemented
180#394×C83C2211yescharacteristic, complemented
181#392×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic
183#386×C83C2211yescharacteristic, complemented
184#385×C83C2211yescharacteristic
185#385×C83C2211yescharacteristic, complemented
186#380×C83C2211yescharacteristic, complemented
187C24×D83C2311yescharacteristic
188C22×C22⋊D83C2311yescharacteristic
189C22×C22⋊D83C2311yescharacteristic
190C22×C22⋊D83C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C23×Dic83C2311yescharacteristic
195C23×Dic83C2311yescharacteristic
196C22×C4×D83—42no—
197C22×C4×D83—42no—
198C22×C4×D83—42no—
199C22×C4×D83C2311yescharacteristic
200C22×C4×D83C2311yescharacteristic
201C22×C4×D83C2311yescharacteristic
202C22×C4×D83C2311yescharacteristic
203C22×C4×D83C2311yescharacteristic
204C22×C4×D83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207#14581782—42no—
208#14581774—42no—
209#14581774—42no—
210#14581774—42no—
211#14581773—42no—
212#14581773—42no—
213#14581763—24no—
214#14581763—42no—
215#14581763—42no—
216#14581763—42no—
217#14581760—42no—
218#14581760—42no—
219#14581760—42no—
220C4×C22⋊D83—24no—
221C4×C22⋊D83—42no—
222(C22⋊D83)⋊C4—42no—
223C2×C4⋊Dic83C2311yescharacteristic
224C2×C4⋊Dic83C2311yescharacteristic
225C2×C4⋊Dic83C2311yescharacteristic
226C2×C4⋊Dic83C2311yescharacteristic
227C2×C4⋊Dic83C2311yescharacteristic
228C2×C4⋊Dic83C2311yescharacteristic
229C2×C4⋊Dic83C2311yescharacteristic
230C2×C4⋊Dic83C2311yescharacteristic
231C2×C4⋊Dic83C2311yescharacteristic
232C2×Dic83⋊C4C2311yescharacteristic
233C2×Dic83⋊C4C2311yescharacteristic
234C2×Dic83⋊C4C2311yescharacteristic
235C2×Dic83⋊C4C2311yescharacteristic
236C2×Dic83⋊C4C2311yescharacteristic
237C2×Dic83⋊C4C2311yescharacteristic
238C2×Dic83⋊C4C2311yescharacteristic
239C2×Dic83⋊C4C2311yescharacteristic
240C2×Dic83⋊C4C2311yescharacteristic
241C2×Dic83⋊C4C2311yescharacteristic
242C2×Dic83⋊C4C2311yescharacteristic
243C2×Dic83⋊C4C2311yescharacteristic
244C2×Dic83⋊C4C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×Dic83⋊C4C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C4⋊C4×D83—42no—
251C4⋊C4×D83—42no—
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×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×C22⋊Dic83C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×C22⋊Dic83C2311yescharacteristic
272C2×C22⋊Dic83C2311yescharacteristic
273C2×C22⋊Dic83C2311yescharacteristic
274C2×C22⋊Dic83C2311yescharacteristic
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
289C22⋊C4×D83—24no—
290C22⋊C4×D83—42no—
291C2×C4×Dic83C2311yescharacteristic
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
330C22×D4×C83C2311yescharacteristic
331C22×D4×C83C2311yescharacteristic
332C22×D4×C83C2311yescharacteristic
333C22×D4×C83C2311yescharacteristic
334C22×D4×C83C2311yescharacteristic
335C22×D4×C83C2311yescharacteristic
336C23×C4×C83C2311yescharacteristic
337C23×C4×C83C2311yescharacteristic
338C23×C4×C83C2311yescharacteristic
339#123×C83—42no—
340#121×C83—42no—
341#121×C83—42no—
342#121×C83—42no—
343C2×C4⋊C4×C83C2311yescharacteristic
344C2×C4⋊C4×C83C2311yescharacteristic
345C2×C4⋊C4×C83C2311yescharacteristic
346C2×C4⋊C4×C83C2311yescharacteristic
347C2×C4⋊C4×C83C2311yescharacteristic
348C2×C4⋊C4×C83C2311yescharacteristic
349C2×C4⋊C4×C83C2311yescharacteristic
350C2×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×C22⋊C4×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
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—22no—
387C2×C22⋊D83—22no—
388C2×C22⋊D83—22no—
389C2×C22⋊D83—22no—
390C2×C22⋊D83—41no—
391C2×C22⋊D83—41no—
392C2×C22⋊D83—41no—
393C2×C22⋊D83—41no—
394C2×C22⋊D83—41no—
395C2×C22⋊D83—41no—
396C22×Dic83—22no—
397C22×Dic83—41no—
398C22×Dic83—41no—
399C22×Dic83—41no—
400C22×Dic83—41no—
401C22×Dic83—41no—
402C22×Dic83C2411yescharacteristic
403C22×Dic83C2411yescharacteristic
404C22×Dic83C2411yescharacteristic
405C22×Dic83C2411yescharacteristic
406C22×Dic83C2411yescharacteristic
407C22×Dic83C2411yescharacteristic
408C22×Dic83C2411yescharacteristic
409C22×Dic83C2411yescharacteristic
410C22×Dic83C2411yescharacteristic
411C22×Dic83C2411yescharacteristic
412C22×Dic83C2411yescharacteristic
413C22×Dic83C2411yescharacteristic
414C22×Dic83C2411yescharacteristic
415C22×Dic83C2411yescharacteristic
416C2×C4×D83—22no—
417C2×C4×D83—22no—
418C2×C4×D83—22no—
419C2×C4×D83—22no—
420C2×C4×D83—22no—
421C2×C4×D83—22no—
422C2×C4×D83—22no—
423C2×C4×D83—22no—
424C2×C4×D83—22no—
425C2×C4×D83—41no—
426C2×C4×D83—41no—
427C2×C4×D83—41no—
428C2×C4×D83—41no—
429C2×C4×D83—41no—
430C2×C4×D83—41no—
431C2×C4×D83—41no—
432C2×C4×D83—41no—
433C2×C4×D83—41no—
434C2×C4×D83—41no—
435C2×C4×D83—416no—
436C2×C4×D83—41no—
437C2×C4×D83—41no—
438C2×C4×D83—41no—
439C2×C4×D83—41no—
440C2×C4×D83#4114yes—
441C4⋊Dic83—22no—
442C4⋊Dic83—22no—
443C4⋊Dic83—41no—
444C4⋊Dic83—41no—
445C4⋊Dic83—41no—
446C4⋊Dic83—41no—
447C4⋊Dic83—41no—
448C4⋊Dic83—41no—
449C4⋊Dic83—41no—
450Dic83⋊C4—22no—
451Dic83⋊C4—22no—
452Dic83⋊C4—41no—
453Dic83⋊C4—41no—
454Dic83⋊C4—41no—
455Dic83⋊C4—41no—
456Dic83⋊C4—41no—
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—
468C22⋊Dic83—22no—
469C22⋊Dic83—22no—
470C22⋊Dic83—22no—
471C22⋊Dic83—22no—
472C22⋊Dic83—22no—
473C22⋊Dic83—22no—
474C22⋊Dic83—41no—
475C22⋊Dic83—41no—
476C22⋊Dic83—41no—
477C22⋊Dic83—41no—
478C22⋊Dic83—41no—
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—
488C22⋊Dic83—41no—
489C22⋊Dic83—41no—
490C22⋊Dic83—41no—
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—22no—
498(C2×D83)⋊C4—22no—
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—
505C4×Dic83—22no—
506C4×Dic83—41no—
507C4×Dic83—41no—
508C4×Dic83—41no—
509C4×Dic83—41no—
510C24×C83C2411yescharacteristic
511C24×C83C2411yescharacteristic
512C24×C83C2411yescharacteristic
513C24×C83C2411yescharacteristic
514C2×D4×C83—22no—
515C2×D4×C83—22no—
516C2×D4×C83—22no—
517C2×D4×C83—22no—
518C2×D4×C83—22no—
519C2×D4×C83—41no—
520C2×D4×C83—41no—
521C2×D4×C83—41no—
522C2×D4×C83—41no—
523C2×D4×C83—41no—
524C2×D4×C83—41no—
525C2×D4×C83—41no—
526C2×D4×C83—41no—
527C2×D4×C83—41no—
528C2×D4×C83—41no—
529C2×D4×C83—41no—
530C2×D4×C83—41no—
531C2×D4×C83—41no—
532C22×C4×C83—22no—
533C22×C4×C83—22no—
534C22×C4×C83—22no—
535C22×C4×C83—41no—
536C22×C4×C83—41no—
537C22×C4×C83—41no—
538C22×C4×C83—41no—
539C22×C4×C83—41no—
540C22×C4×C83—41no—
541C22×C4×C83C2411yescharacteristic
542C22×C4×C83C2411yescharacteristic
543C22×C4×C83C2411yescharacteristic
544C22×C4×C83C2411yescharacteristic
545C22×C4×C83C2411yescharacteristic
546C22×C4×C83C2411yescharacteristic
547C22×C4×C83C2411yescharacteristic
548C22×C4×C83C2411yescharacteristic
549C22×C4×C83C2411yescharacteristic
550C22×C4×C83C2411yescharacteristic
551C22×C4×C83C2411yescharacteristic
552C4⋊C4×C83—22no—
553C4⋊C4×C83—22no—
554C4⋊C4×C83—41no—
555C4⋊C4×C83—41no—
556C4⋊C4×C83—41no—
557C4⋊C4×C83—41no—
558C4⋊C4×C83—41no—
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—
571C22⋊C4×C83—41no—
572C23×C83—21no—
573C23×C83—21no—
574C23×C83—21no—
575C23×C83—21no—
576C23×C83—21no—
577C23×C83—21no—
578C23×C83—21no—
579C23×C83—21no—
580C23×C83—21no—
581C23×C83—21no—
582C23×C83—21no—
583C23×C83—21no—
584C23×C83—21no—
585C23×C83—21no—
586C23×C83—21no—
587C23×C83—21no—
588C23×C83—21no—
589C23×C83—21no—
590C23×C83—21no—
591C23×C83—21no—
592C23×C83—21no—
593C23×C83—21no—
594C23×C83—21no—
595C23×C83—21no—
596C23×C83—21no—
597C23×C83—21no—
598C23×C83—21no—
599C23×C83H(5,𝔽2)12yes—
600C23×C83C2511yescharacteristic
601C22×D83—21no—
602C22×D83—21no—
603C22×D83—21no—
604C22×D83—21no—
605C22×D83—28no—
606C22×D83—21no—
607C22×D83—21no—
608C22×D83—21no—
609C22×D83—21no—
610C22×D83—21no—
611C22×D83—21no—
612C22×D83—44no—
613C22×D83—44no—
614C22×D83—44no—
615C22×D83—44no—
616C22×D83—44no—
617C22×D83—44no—
618C22×D83C2×#4112yes—
619C22×D83H(5,𝔽2)12yes—
620C22×D83H(5,𝔽2)12yes—
621C22×D832−1+412yes—
622D4×C83—82no—
623D4×C83—82no—
624D4×C83—82no—
625D4×C83—82no—
626D4×C83—82no—
627D4×C83—82no—
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—44no—
660C2×C4×C83—82no—
661C2×C4×C83—82no—
662C2×C4×C83C2×#4112yes—
663C2×C4×C83H(5,𝔽2)12yes—
664C22⋊D83—44no—
665C22⋊D83—44no—
666C22⋊D83—44no—
667C22⋊D83—82no—
668C22⋊D83—82no—
669C22⋊D83—82no—
670C2×Dic83—21no—
671C2×Dic83—21no—
672C2×Dic83—21no—
673C2×Dic83—21no—
674C2×Dic83—21no—
675C2×Dic83—21no—
676C2×Dic83—21no—
677C2×Dic83—21no—
678C2×Dic83—21no—
679C2×Dic83—21no—
680C2×Dic83—21no—
681C2×Dic83—21no—
682C2×Dic83—21no—
683C2×Dic83—21no—
684C2×Dic83—21no—
685C2×Dic83—21no—
686C2×Dic83—21no—
687C2×Dic83—21no—
688C2×Dic83—21no—
689C2×Dic83—21no—
690C2×Dic83—21no—
691C2×Dic83—21no—
692C2×Dic83—21no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—21no—
707C2×Dic83—21no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—21no—
711C2×Dic83—44no—
712C2×Dic83—82no—
713C2×Dic83C2×#4112yes—
714C4×D83—44no—
715C4×D83—44no—
716C4×D83—44no—
717C4×D83—44no—
718C4×D83—44no—
719C4×D83—44no—
720C4×D83—82no—
721C4×D83—82no—
722C22×C83—22no—
723C22×C83—22no—
724C22×C83—22no—
725C22×C83—41no—
726C22×C83—41no—
727C22×C83—41no—
728C22×C83—41no—
729C22×C83—41no—
730C22×C83—41no—
731C22×C83—41no—
732C22×C83—41no—
733C22×C83—41no—
734C22×C83—41no—
735C22×C83—41no—
736C22×C83—41no—
737C22×C83—41no—
738C22×C83—41no—
739C22×C83—41no—
740C22×C83—41no—
741C22×C83—41no—
742C22×C83—41no—
743C22×C83—41no—
744C22×C83—41no—
745C22×C83—41no—
746C22×C83—41no—
747C22×C83—41no—
748C22×C83—41no—
749C22×C83—41no—
750C22×C83C22×#4111yescharacteristic
751C22×C83C2×H(5,𝔽2)11yescharacteristic
752C22×C83C2×H(5,𝔽2)11yescharacteristic
753C22×C83C2×H(5,𝔽2)11yescharacteristic
754C22×C83C2×H(5,𝔽2)11yescharacteristic
755C22×C83C2×2−1+411yescharacteristic
756C22×C83#58511yescharacteristic
757C2×D83—22no—
758C2×D83—22no—
759C2×D83—22no—
760C2×D83—22no—
761C2×D83—22no—
762C2×D83—22no—
763C2×D83—22no—
764C2×D83—22no—
765C2×D83—22no—
766C2×D83—416no—
767C2×D83—41no—
768C2×D83—41no—
769C2×D83—41no—
770C2×D83—41no—
771C2×D83#54014yes—
772C4×C83—22no—
773C4×C83—22no—
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—41no—
785Dic83—41no—
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—42no—
799C2×C83—81no—
800C2×C83—81no—
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—24no—
810D83—42no—
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#2671D8311yescharacteristic, complemented
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#2418—831no—
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×#121C2×D8311yescharacteristic
856C2×#121C2×D8311yescharacteristic
857C2×#121C2×D8311yescharacteristic, complemented
858C2×#120—831no—
859C2×#120—831no—
860C2×#120—831no—
861C2×C4×D4—831no—
862C2×C4×D4—831no—
863C2×C4×D4—831no—
864C22×C4⋊C4—831no—
865C22×C4⋊C4—831no—
866C22×C22⋊C4—831no—
867C22×C22⋊C4—831no—
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, complemented
878#398—831no—
879#398—831no—
880#398—831no—
881#398—831no—
882#398—831no—
883#398—831no—
884#398—831no—
885#398C2×D8311yescharacteristic, complemented
886#397—831no—
887#397—831no—
888#397—831no—
889#397—831no—
890#397—831no—
891#397—831no—
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#394C2×D8311yescharacteristic
911#394C2×D8311yescharacteristic, complemented
912#394C2×D8311yescharacteristic, complemented
913#392—831no—
914#392—831no—
915#392C2×D8311yescharacteristic
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#388—831no—
935#388—831no—
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, complemented
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#385C2×D8311yescharacteristic
977#385C2×D8311yescharacteristic, complemented
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, complemented
994#379—831no—
995C4×C22⋊C4—831no—
996C2×#95—831no—
997C2×#95—831no—
998C25—831no—
999C22×D4—831no—
1000C22×D4—831no—
1001C22×D4—831no—
1002C22×D4—831no—
1003C22×D4—831no—
1004C22×D4—831no—
1005C22×D4C22×D8311yescharacteristic
1006C22×D4C22×D8311yescharacteristic
1007C22×D4C22×D8311yescharacteristic
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—42no—
1035#121—42no—
1036#121—42no—
1037#121—3322no—
1038#121—3322no—
1039#121—3322no—
1040#121—1664no—
1041#120—3322no—
1042#120—3322no—
1043#120—3322no—
1044C4×D4—3322no—
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⋊C4C22×D8311yescharacteristic
1077C2×C4⋊C4C22×D8311yescharacteristic
1078C2×C4⋊C4C22×D8311yescharacteristic
1079C2×C4⋊C4C22×D8311yescharacteristic
1080C2×C4⋊C4C22×D8311yescharacteristic
1081C2×C4⋊C4C22×D8311yescharacteristic
1082C2×C4⋊C4C22×D8311yescharacteristic
1083C2×C22⋊C4—3322no—
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×C22⋊C4C22×D8311yescharacteristic
1135C2×C42—831no—
1136C2×C42—831no—
1137C2×C42—831no—
1138C2×C42—831no—
1139C2×C42—831no—
1140#95—831no—
1141#95—831no—
1142#95—831no—
1143#95—831no—
1144#95—831no—
1145#95—831no—
1146#95—831no—
1147#95—831no—
1148#95—831no—
1149#95—831no—
1150#95—831no—
1151#95—831no—
1152#95—831no—
1153#95—831no—
1154#95—831no—
1155#95—831no—
1156#95—831no—
1157#95—831no—
1158#95—831no—
1159#95—831no—
1160#95—831no—
1161#95—831no—
1162#95—831no—
1163#95—831no—
1164#95—831no—
1165#95—831no—
1166#95—831no—
1167#95—831no—
1168#95—831no—
1169#95—831no—
1170#95—831no—
1171#95—831no—
1172#95—831no—
1173#95—831no—
1174#95C22×D8311yescharacteristic
1175#95C22×D8311yescharacteristic
1176#95C22×D8311yescharacteristic
1177#95C22×D8311yescharacteristic
1178#95C22×D8311yescharacteristic
1179#95C22×D8311yescharacteristic
1180C24—3321no—
1181C24—3321no—
1182C24—831no—
1183C24—831no—
1184C24—1662no—
1185C24—1662no—
1186C24—1662no—
1187C24—1662no—
1188C24—1662no—
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—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
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—22no—
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—3321no—
1244C22×C4—3321no—
1245C22×C4—3321no—
1246C22×C4—3321no—
1247C22×C4—3321no—
1248C22×C4—3321no—
1249C22×C4—3321no—
1250C22×C4—3321no—
1251C22×C4—3321no—
1252C22×C4—33216no—
1253C22×C4—3321no—
1254C22×C4—3321no—
1255C22×C4—3321no—
1256C22×C4—3321no—
1257C22×C4—3321no—
1258C22×C4—834no—
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—831no—
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—22no—
1295C4⋊C4—22no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
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—3321no—
1323C4⋊C4—3321no—
1324C4⋊C4—1662no—
1325C4⋊C4—1662no—
1326C4⋊C4—1662no—
1327C4⋊C4—1662no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—3321no—
1342C22⋊C4—3321no—
1343C22⋊C4—3321no—
1344C22⋊C4—3321no—
1345C22⋊C4—3321no—
1346C22⋊C4—3321no—
1347C22⋊C4—3321no—
1348C22⋊C4—3321no—
1349C22⋊C4—3321no—
1350C22⋊C4—3321no—
1351C22⋊C4—3321no—
1352C22⋊C4—3321no—
1353C22⋊C4—3321no—
1354C22⋊C4—3321no—
1355C22⋊C4—3321no—
1356C22⋊C4—3321no—
1357C22⋊C4—3321no—
1358C22⋊C4—3321no—
1359C22⋊C4—3321no—
1360C22⋊C4—3321no—
1361C22⋊C4—3321no—
1362C22⋊C4—3321no—
1363C22⋊C4—3321no—
1364C22⋊C4—1662no—
1365C22⋊C4—1662no—
1366C22⋊C4—1662no—
1367C22⋊C4—1662no—
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—3321no—
1379C42—3321no—
1380C42—3321no—
1381C42—3321no—
1382C42—1662no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—3324no—
1411C23—3324no—
1412C23—3324no—
1413C23—3324no—
1414C23—3324no—
1415C23—3324no—
1416C23—832no—
1417C23—832no—
1418C23—832no—
1419C23—832no—
1420C23—1668no—
1421C23—1661no—
1422C23—1661no—
1423C23—1661no—
1424C23—1661no—
1425C23—1661no—
1426C23—1661no—
1427C23—1661no—
1428C23—1661no—
1429C23—1661no—
1430C23—1661no—
1431C23#1458183712yes—
1432C23C24×D8311yescharacteristic
1433D4—82no—
1434D4—82no—
1435D4—82no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—3324no—
1440D4—3324no—
1441D4—3324no—
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—44no—
1477C2×C4—82no—
1478C2×C4—82no—
1479C2×C4—3324no—
1480C2×C4—3324no—
1481C2×C4—3324no—
1482C2×C4—3324no—
1483C2×C4—3324no—
1484C2×C4—3324no—
1485C2×C4—3324no—
1486C2×C4—832no—
1487C2×C4—6642no—
1488C2×C4—6642no—
1489C2×C4—6642no—
1490C2×C4—1661no—
1491C2×C4—1661no—
1492C2×C4—1661no—
1493C2×C4—1661no—
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#41×D8312yes—
1532C2×C4#1458183712yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—33216no—
1562C22—3321no—
1563C22—3321no—
1564C22—3321no—
1565C22—3321no—
1566C22—834no—
1567C22—1662no—
1568C22—1662no—
1569C22—1662no—
1570C22—1662no—
1571C22—1662no—
1572C22—1662no—
1573C22—1662no—
1574C22—1662no—
1575C22—1662no—
1576C22C2×#41×D8311yescharacteristic
1577C22H(5,𝔽2)×D8311yescharacteristic
1578C22H(5,𝔽2)×D8311yescharacteristic
1579C22C2×#1458183711yescharacteristic
1580C22C2×#1458183711yescharacteristic
1581C222−1+4×D8311yescharacteristic
1582C22#1912853611yescharacteristic
1583C4—22no—
1584C4—22no—
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—3321no—
1606C4—3321no—
1607C4—1662no—
1608C2—42no—
1609C2—81no—
1610C2—81no—
1611C2—81no—
1612C2—3322no—
1613C2—1664no—
1614C2#540×D8311yescharacteristic
1615C2#2492116511yescharacteristic
1616C2#2492129011yescharacteristic
1617C2#2492161311yescharacteristic
1618C2#2492164311yescharacteristic
1619C2#2492166311yescharacteristic
1620C2#2492168111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2671C2
hypercenter#2671D83
hypocenterC83#36777
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2671

Complements

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

NH ≅ G/Ntype
1. #24915752C2semidirect
2. #24915742C2semidirect
3. #24915116C2semidirect
4. #24915109C2semidirect
5. #24914949C2semidirect
6. #24914852C2semidirect
7. #24914739C2semidirect
8. #24914690C2semidirect
9. #24914673C2semidirect
10. #24914606C2semidirect
11. #24914537C2semidirect
12. #24914227C2semidirect
13. #24914162C2semidirect
14. #24914158C2semidirect
15. #24914072C2semidirect
16. #24914072C2semidirect
17. #24913895C2semidirect
18. #24913248C2semidirect
19. #24913204C2semidirect
20. #24912388C2semidirect
21. #24912351C2semidirect
22. #24911182C2semidirect
23. #24911015C2semidirect
24. #24910996C2semidirect
25. #24910939C2semidirect
26. #24910918C2semidirect
27. #24910899C2semidirect
28. #24910165C2semidirect
29. #24910098C2semidirect
30. #385×D83C2semidirect
31. C83×#2671C2semidirect
33. C2×#14581782C22semidirect
53. #19127643C22semidirect
54. #19127642C22semidirect
55. #19127641C22semidirect
56. #19127640C22semidirect
57. #19127639C22semidirect
60. #19127637C22semidirect
62. #19127635C22semidirect
63. #19127635C22semidirect
64. #19127634C22semidirect
65. #19127634C22semidirect
66. #19127634C22semidirect
67. #19127633C22semidirect
68. #19127631C22semidirect
70. #19127629C22semidirect
71. #19127629C22semidirect
72. #19127629C22semidirect
73. #19127626C22semidirect
74. #19127626C22semidirect
77. #19127624C22semidirect
78. #19127624C22semidirect
79. #19127624C22semidirect
80. #19127624C22semidirect
81. #19127624C22semidirect
82. #19127624C22semidirect
83. #19127624C22semidirect
90. #19127615C22semidirect
91. #19127615C22semidirect
92. #19127615C22semidirect
97. #19127604C22semidirect
101. #19127600C22semidirect
102. #19127600C22semidirect
103. #19127596C22semidirect
104. #19127596C22semidirect
106. #19127595C22semidirect
107. #19127595C22semidirect
108. #19127595C22semidirect
113. #19127589C22semidirect
114. #19127589C22semidirect
115. #19127587C22semidirect
116. #19127586C22semidirect
117. #19127584C22semidirect
118. #19127584C22semidirect
119. #19127582C22semidirect
120. #19127582C22semidirect
123. #19127581C22semidirect
124. #19127581C22semidirect
142. #19127574C22semidirect
144. #19127573C22semidirect
153. #19127568C22semidirect
154. #19127565C22semidirect
155. #19127565C22semidirect
157. #19127564C22semidirect
158. #19127564C22semidirect
162. #19127561C22semidirect
165. #19127559C22semidirect
175. C2×#121×C83C22semidirect
176. #399×C83C22semidirect
177. #398×C83C22semidirect
179. #394×C83C22semidirect
180. #394×C83C22semidirect
183. #386×C83C22semidirect
185. #385×C83C22semidirect
186. #380×C83C22semidirect
828. #2671D83semidirect
842. C83#36777semidirect
857. C2×#121C2×D83semidirect
877. #399C2×D83semidirect
885. #398C2×D83semidirect
911. #394C2×D83semidirect
912. #394C2×D83semidirect
960. #386C2×D83semidirect
977. #385C2×D83semidirect
993. #380C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157522
#249157422
#249151162
#249151092
#249149492
#249148522
#249147392
#249146902
#249146732
#249146062
#249145372
#249142272
#249141622
#249141582
#249140722
#249138952
#249132482
#249132042
#249123882
#249123512
#249111822
#249110152
#249109962
#249109392
#249109182
#249108992
#249101652
#249100982
#385×D832
C83×#26712
#3677783