Finite Group Databasebeta

← #35612717

Subgroups — #35612717

Order 21248.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915756C211yesmaximal, characteristic, complemented
2#24915751C211yesmaximal, characteristic, complemented
3#24915140C211yesmaximal, characteristic, complemented
4#24914695C211yesmaximal, characteristic, complemented
5#24914640C211yesmaximal, characteristic, complemented
6#24914609C211yesmaximal, characteristic, complemented
7#24914435C211yesmaximal, characteristic, complemented
8#24914183C211yesmaximal, characteristic, complemented
9#24914182C211yesmaximal, characteristic, complemented
10#24914149C211yesmaximal, characteristic, complemented
11#24914011C211yesmaximal, characteristic, complemented
12#24914000C211yesmaximal, characteristic, complemented
13#24913973C211yesmaximal, characteristic, complemented
14#24913972C211yesmaximal, characteristic, complemented
15#24913948C211yesmaximal, characteristic, complemented
16#24913884C211yesmaximal, characteristic, complemented
17#24913819C211yesmaximal, characteristic, complemented
18#24913434C211yesmaximal, characteristic, complemented
19#24913421C211yesmaximal, characteristic, complemented
20#24911961C211yesmaximal, characteristic, complemented
21#24911715C211yesmaximal, characteristic, complemented
22#24911288C211yesmaximal, characteristic, complemented
23#24911127C211yesmaximal, characteristic, complemented
24#24910928C211yesmaximal, characteristic, complemented
25#24910852C211yesmaximal, characteristic, complemented
26#24910836C211yesmaximal, characteristic
27#24910785C211yesmaximal, characteristic, complemented
28#24910116C211yesmaximal, characteristic, complemented
29#24910074C211yesmaximal, characteristic, complemented
30#386×D83C211yesmaximal, characteristic, complemented
31C83×#2746C211yesmaximal, characteristic, complemented
32C22×D4×D83C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34C2×#14581787C2211yescharacteristic, complemented
35C2×#14581777C2211yescharacteristic
36C2×#14581777C2211yescharacteristic, complemented
37C2×#14581777C2211yescharacteristic, complemented
38C2×#14581776C2211yescharacteristic, complemented
39C2×#14581775C2211yescharacteristic, complemented
40C2×#14581774C2211yescharacteristic
41C2×#14581772C2211yescharacteristic
42C2×#14581772C2211yescharacteristic, complemented
43C2×#14581771C2211yescharacteristic, complemented
44C2×#14581769C2211yescharacteristic, complemented
45C2×#14581766C2211yescharacteristic
46C2×#14581764C2211yescharacteristic
47C2×#14581762C2211yescharacteristic
48C2×#14581762C2211yescharacteristic
49C2×#14581754C2211yescharacteristic
50C22×(C2×D83)⋊C4C2211yescharacteristic
51C2×C22⋊C4×D83C2211yescharacteristic
52C2×C22⋊C4×D83C2211yescharacteristic
53C2×C22⋊C4×D83C2211yescharacteristic
54C2×C22⋊C4×D83C2211yescharacteristic
55#19127643C2211yescharacteristic, complemented
56#19127643C2211yescharacteristic, complemented
57#19127643C2211yescharacteristic, complemented
58#19127643C2211yescharacteristic, complemented
59#19127642C2211yescharacteristic, complemented
60#19127642C2211yescharacteristic, complemented
61#19127641C2211yescharacteristic, complemented
62#19127640C2211yescharacteristic, complemented
63#19127640C2211yescharacteristic, complemented
64#19127639C2211yescharacteristic, complemented
65#19127638C2211yescharacteristic, complemented
66#19127635C2211yescharacteristic, complemented
67#19127635C2211yescharacteristic, complemented
68#19127634C2211yescharacteristic, complemented
69#19127633C2211yescharacteristic, complemented
70#19127633C2211yescharacteristic, complemented
71#19127630C2211yescharacteristic, complemented
72#19127630C2211yescharacteristic, complemented
73#19127629C2211yescharacteristic, complemented
74#19127629C2211yescharacteristic, complemented
75#19127628C2211yescharacteristic, complemented
76#19127628C2211yescharacteristic, complemented
77#19127628C2211yescharacteristic, complemented
78#19127627C2211yescharacteristic, complemented
79#19127625C2211yescharacteristic, complemented
80#19127624C2211yescharacteristic, complemented
81#19127623C2211yescharacteristic, complemented
82#19127623C2211yescharacteristic, complemented
83#19127623C2211yescharacteristic, complemented
84#19127619C2211yescharacteristic
85#19127618C2211yescharacteristic, complemented
86#19127617C2211yescharacteristic
87#19127617C2211yescharacteristic
88#19127617C2211yescharacteristic, complemented
89#19127617C2211yescharacteristic, complemented
90#19127616C2211yescharacteristic
91#19127616C2211yescharacteristic, complemented
92#19127615C2211yescharacteristic
93#19127614C2211yescharacteristic, complemented
94#19127614C2211yescharacteristic, complemented
95#19127611C2211yescharacteristic
96#19127610C2211yescharacteristic
97#19127605C2211yescharacteristic, complemented
98#19127603C2211yescharacteristic, complemented
99#19127601C2211yescharacteristic, complemented
100#19127598C2211yescharacteristic, complemented
101#19127594C2211yescharacteristic, complemented
102#19127593C2211yescharacteristic, complemented
103#19127592C2211yescharacteristic, complemented
104#19127591C2211yescharacteristic, complemented
105#19127590C2211yescharacteristic, complemented
106#19127589C2211yescharacteristic, complemented
107#19127589C2211yescharacteristic, complemented
108#19127588C2211yescharacteristic, complemented
109#19127587C2211yescharacteristic, complemented
110#19127581C2211yescharacteristic
111#19127580C2211yescharacteristic
112#19127579C2211yescharacteristic
113#19127579C2211yescharacteristic
114#19127579C2211yescharacteristic
115#19127579C2211yescharacteristic
116#19127579C2211yescharacteristic
117#19127579C2211yescharacteristic
118#19127579C2211yescharacteristic
119#19127579C2211yescharacteristic, complemented
120#19127579C2211yescharacteristic, complemented
121#19127579C2211yescharacteristic, complemented
122#19127579C2211yescharacteristic, complemented
123#19127578C2211yescharacteristic
124#19127578C2211yescharacteristic
125#19127577C2211yescharacteristic
126#19127577C2211yescharacteristic
127#19127577C2211yescharacteristic
128#19127577C2211yescharacteristic, complemented
129#19127577C2211yescharacteristic, complemented
130#19127576C2211yescharacteristic, complemented
131#19127576C2211yescharacteristic, complemented
132#19127576C2211yescharacteristic, complemented
133#19127576C2211yescharacteristic, complemented
134#19127575C2211yescharacteristic
135#19127575C2211yescharacteristic
136#19127575C2211yescharacteristic
137#19127575C2211yescharacteristic
138#19127575C2211yescharacteristic
139#19127575C2211yescharacteristic
140#19127575C2211yescharacteristic
141#19127575C2211yescharacteristic, complemented
142#19127575C2211yescharacteristic, complemented
143#19127575C2211yescharacteristic, complemented
144#19127575C2211yescharacteristic, complemented
145#19127575C2211yescharacteristic, complemented
146#19127574C2211yescharacteristic, complemented
147#19127573C2211yescharacteristic, complemented
148#19127572C2211yescharacteristic
149#19127572C2211yescharacteristic
150#19127572C2211yescharacteristic
151#19127572C2211yescharacteristic, complemented
152#19127567C2211yescharacteristic, complemented
153#19127563C2211yescharacteristic, complemented
154#19127562C2211yescharacteristic, complemented
155#19127561C2211yescharacteristic, complemented
156#19127560C2211yescharacteristic
157#19127560C2211yescharacteristic, complemented
158#19127560C2211yescharacteristic, complemented
159#19127558C2211yescharacteristic
160#19127558C2211yescharacteristic
161#19127558C2211yescharacteristic, complemented
162#19127558C2211yescharacteristic, complemented
163#19127558C2211yescharacteristic, complemented
164#19127558C2211yescharacteristic, complemented
165#19127556C2211yescharacteristic
166#19127556C2211yescharacteristic
167#19127556C2211yescharacteristic
168#19127556C2211yescharacteristic
169C4×(C2×D83)⋊C4C2211yescharacteristic
170#95×D83C2211yescharacteristic
171#95×D83C2211yescharacteristic
172#401×C83C2211yescharacteristic, complemented
173#400×C83C2211yescharacteristic, complemented
174#399×C83C2211yescharacteristic, complemented
175#398×C83C2211yescharacteristic, complemented
176#397×C83C2211yescharacteristic, complemented
177#394×C83C2211yescharacteristic
178#388×C83C2211yescharacteristic, complemented
179#388×C83C2211yescharacteristic, complemented
180#387×C83C2211yescharacteristic, complemented
181#386×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic
183#385×C83C2211yescharacteristic, complemented
184#385×C83C2211yescharacteristic, complemented
185#381×C83C2211yescharacteristic, complemented
186#380×C83C2211yescharacteristic, complemented
187C24×D83C2311yescharacteristic
188C24×D83C2311yescharacteristic
189C22×Dic166C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C2×D4×D83—24no—
199C2×D4×D83—42no—
200C2×D4×D83—42no—
201C23×Dic83C2311yescharacteristic
202C23×Dic83C2311yescharacteristic
203C22×C4×D83—42no—
204C22×C4×D83—42no—
205C22×C4×D83—42no—
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208C22×C4×D83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216#14581787—42no—
217#14581777—42no—
218#14581777—42no—
219#14581777—42no—
220#14581776—42no—
221#14581775—42no—
222#14581774—42no—
223#14581772—42no—
224#14581772—42no—
225#14581771—42no—
226#14581769—42no—
227#14581766—42no—
228#14581764—42no—
229#14581762—24no—
230#14581762—42no—
231#14581754—42no—
232C2×C4⋊Dic83C2311yescharacteristic
233C2×C4⋊Dic83C2311yescharacteristic
234C2×C4⋊Dic83C2311yescharacteristic
235C2×C4⋊Dic83C2311yescharacteristic
236C2×C4⋊Dic83C2311yescharacteristic
237C2×C4⋊Dic83C2311yescharacteristic
238C2×C4⋊Dic83C2311yescharacteristic
239C2×C4⋊Dic83C2311yescharacteristic
240C2×C4⋊Dic83C2311yescharacteristic
241C2×C4⋊Dic83C2311yescharacteristic
242C2×C4⋊Dic83C2311yescharacteristic
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×(C2×D83)⋊C4—42no—
264C2×(C2×D83)⋊C4C2311yescharacteristic
265C2×(C2×D83)⋊C4C2311yescharacteristic
266C2×(C2×D83)⋊C4C2311yescharacteristic
267C2×(C2×D83)⋊C4C2311yescharacteristic
268C2×(C2×D83)⋊C4C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C2×(C2×D83)⋊C4C2311yescharacteristic
298C22⋊C4×D83—24no—
299C22⋊C4×D83—42no—
300C22⋊C4×D83—42no—
301C22⋊C4×D83—42no—
302C2×C4×Dic83C2311yescharacteristic
303C2×C4×Dic83C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C22×D4×C83C2311yescharacteristic
335C23×C4×C83C2311yescharacteristic
336C23×C4×C83C2311yescharacteristic
337C2×C4⋊C4×C83C2311yescharacteristic
338C2×C4⋊C4×C83C2311yescharacteristic
339C2×C4⋊C4×C83C2311yescharacteristic
340C2×C4⋊C4×C83C2311yescharacteristic
341C2×C4⋊C4×C83C2311yescharacteristic
342C2×C4⋊C4×C83C2311yescharacteristic
343C2×C4⋊C4×C83C2311yescharacteristic
344C2×C22⋊C4×C83C2311yescharacteristic
345C2×C22⋊C4×C83C2311yescharacteristic
346C2×C22⋊C4×C83C2311yescharacteristic
347C2×C22⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C42×C83C2311yescharacteristic
355#95×C83C2311yescharacteristic
356#95×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—22no—
375C23×D83—22no—
376C23×D83—41no—
377C23×D83—41no—
378C23×D83—41no—
379C23×D83—41no—
380C23×D83—41no—
381C23×D83—41no—
382C23×D83#4114yes—
383C23×D83C2411yescharacteristic
384C23×D83C2411yescharacteristic
385C23×D83C2411yescharacteristic
386C23×D83C2411yescharacteristic
387C2×Dic166—22no—
388C2×Dic166—41no—
389C2×Dic166—41no—
390C2×D332—22no—
391C2×D332—22no—
392C2×D332—22no—
393C2×D332—22no—
394C2×D332—22no—
395C2×D332—22no—
396C2×D332—22no—
397C2×D332—41no—
398C2×D332—41no—
399C2×D332—41no—
400C2×D332—41no—
401C2×D332—41no—
402C2×C22⋊D83—22no—
403C2×C22⋊D83—22no—
404C2×C22⋊D83—22no—
405C2×C22⋊D83—22no—
406C2×C22⋊D83—22no—
407C2×C22⋊D83—22no—
408C2×C22⋊D83—41no—
409C2×C22⋊D83—41no—
410C2×C22⋊D83—41no—
411C2×C22⋊D83—41no—
412C2×C22⋊D83—41no—
413C2×C22⋊D83—41no—
414D4×D83—416no—
415C22×Dic83—22no—
416C22×Dic83—41no—
417C22×Dic83—41no—
418C22×Dic83—41no—
419C22×Dic83—41no—
420C22×Dic83—41no—
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C22×Dic83C2411yescharacteristic
429C22×Dic83C2411yescharacteristic
430C22×Dic83C2411yescharacteristic
431C22×Dic83C2411yescharacteristic
432C22×Dic83C2411yescharacteristic
433C2×C4×D83—22no—
434C2×C4×D83—22no—
435C2×C4×D83—22no—
436C2×C4×D83—22no—
437C2×C4×D83—22no—
438C2×C4×D83—22no—
439C2×C4×D83—22no—
440C2×C4×D83—22no—
441C2×C4×D83—22no—
442C2×C4×D83—41no—
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—416no—
453C2×C4×D83—41no—
454C2×C4×D83—41no—
455C2×C4×D83—41no—
456C2×C4×D83—41no—
457C2×C4×D83—41no—
458C2×C4×D83—41no—
459C2×C4×D83—41no—
460C2×C4×D83—41no—
461C2×C4×D83—41no—
462C2×C4×D83—41no—
463C2×C4×D83—41no—
464C4⋊Dic83—41no—
465C4⋊Dic83—41no—
466C4⋊Dic83—41no—
467C4⋊Dic83—41no—
468C4⋊Dic83—41no—
469C4⋊Dic83—41no—
470C4⋊Dic83—41no—
471C4⋊Dic83—41no—
472C4⋊Dic83—41no—
473C4⋊Dic83—41no—
474C4⋊Dic83—41no—
475Dic83⋊C4—22no—
476Dic83⋊C4—41no—
477Dic83⋊C4—41no—
478Dic83⋊C4—41no—
479Dic83⋊C4—41no—
480Dic83⋊C4—41no—
481Dic83⋊C4—41no—
482Dic83⋊C4—41no—
483Dic83⋊C4—41no—
484Dic83⋊C4—41no—
485Dic83⋊C4—41no—
486Dic83⋊C4—41no—
487C22⋊Dic83—22no—
488C22⋊Dic83—22no—
489C22⋊Dic83—22no—
490C22⋊Dic83—41no—
491C22⋊Dic83—41no—
492C22⋊Dic83—41no—
493C22⋊Dic83—41no—
494C22⋊Dic83—41no—
495(C2×D83)⋊C4—22no—
496(C2×D83)⋊C4—22no—
497(C2×D83)⋊C4—22no—
498(C2×D83)⋊C4—22no—
499(C2×D83)⋊C4—22no—
500(C2×D83)⋊C4—22no—
501(C2×D83)⋊C4—22no—
502(C2×D83)⋊C4—22no—
503(C2×D83)⋊C4—22no—
504(C2×D83)⋊C4—22no—
505(C2×D83)⋊C4—22no—
506(C2×D83)⋊C4—22no—
507(C2×D83)⋊C4—22no—
508(C2×D83)⋊C4—22no—
509(C2×D83)⋊C4—22no—
510(C2×D83)⋊C4—41no—
511(C2×D83)⋊C4—41no—
512(C2×D83)⋊C4—41no—
513(C2×D83)⋊C4—41no—
514(C2×D83)⋊C4—41no—
515(C2×D83)⋊C4—41no—
516(C2×D83)⋊C4—41no—
517(C2×D83)⋊C4—41no—
518(C2×D83)⋊C4—41no—
519(C2×D83)⋊C4—41no—
520(C2×D83)⋊C4—41no—
521(C2×D83)⋊C4—41no—
522(C2×D83)⋊C4—41no—
523(C2×D83)⋊C4—41no—
524(C2×D83)⋊C4—41no—
525(C2×D83)⋊C4—41no—
526(C2×D83)⋊C4—41no—
527(C2×D83)⋊C4—41no—
528(C2×D83)⋊C4—41no—
529C4×Dic83—41no—
530C4×Dic83—41no—
531C24×C83C2411yescharacteristic
532C24×C83C2411yescharacteristic
533C2×D4×C83—22no—
534C2×D4×C83—22no—
535C2×D4×C83—41no—
536C22×C4×C83—22no—
537C22×C4×C83—22no—
538C22×C4×C83—41no—
539C22×C4×C83—41no—
540C22×C4×C83—41no—
541C22×C4×C83—41no—
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
552C22×C4×C83C2411yescharacteristic
553C22×C4×C83C2411yescharacteristic
554C22×C4×C83C2411yescharacteristic
555C4⋊C4×C83—22no—
556C4⋊C4×C83—41no—
557C4⋊C4×C83—41no—
558C4⋊C4×C83—41no—
559C4⋊C4×C83—41no—
560C4⋊C4×C83—41no—
561C4⋊C4×C83—41no—
562C22⋊C4×C83—22no—
563C22⋊C4×C83—22no—
564C22⋊C4×C83—22no—
565C22⋊C4×C83—22no—
566C22⋊C4×C83—41no—
567C22⋊C4×C83—41no—
568C22⋊C4×C83—41no—
569C22⋊C4×C83—41no—
570C22⋊C4×C83—41no—
571C22⋊C4×C83—41no—
572C42×C83—41no—
573C23×C83—21no—
574C23×C83—21no—
575C23×C83—21no—
576C23×C83—21no—
577C23×C83—21no—
578C23×C83—21no—
579C23×C83—21no—
580C23×C83—21no—
581C23×C83—21no—
582C23×C83—21no—
583C23×C83—21no—
584C23×C83—21no—
585C23×C83C2×#4112yes—
586C23×C83H(5,𝔽2)12yes—
587C23×C83C2511yescharacteristic
588C22×D83—21no—
589C22×D83—21no—
590C22×D83—21no—
591C22×D83—21no—
592C22×D83—28no—
593C22×D83—21no—
594C22×D83—21no—
595C22×D83—21no—
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—28no—
606C22×D83—21no—
607C22×D83—21no—
608C22×D83—21no—
609C22×D83—21no—
610C22×D83—21no—
611C22×D83—21no—
612C22×D83—21no—
613C22×D83—44no—
614C22×D83—44no—
615C22×D83—44no—
616C22×D83—44no—
617C22×D83—44no—
618C22×D83—44no—
619C22×D83—44no—
620C22×D83—44no—
621C22×D83—82no—
622C22×D83—82no—
623C22×D83—82no—
624C22×D83—82no—
625C22×D83C2×#4112yes—
626C22×D83C2×#4112yes—
627C22×D83H(5,𝔽2)12yes—
628C22×D83H(5,𝔽2)12yes—
629C22×D832−1+412yes—
630D4×C83—44no—
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—21no—
664C2×C4×C83—21no—
665C2×C4×C83—21no—
666C2×C4×C83—21no—
667C2×C4×C83—21no—
668C2×C4×C83—21no—
669C2×C4×C83—44no—
670C2×C4×C83—82no—
671C2×C4×C83H(5,𝔽2)12yes—
672C22⋊D83—44no—
673C22⋊D83—44no—
674C22⋊D83—82no—
675C22⋊D83—82no—
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—21no—
712C2×Dic83—44no—
713C2×Dic83—82no—
714D332—44no—
715D332—44no—
716D332—82no—
717D332—82no—
718C4×D83—44no—
719C4×D83—44no—
720C4×D83—44no—
721C4×D83—44no—
722C4×D83—44no—
723C4×D83—82no—
724C4×D83—82no—
725C4×D83—82no—
726C4×D83—82no—
727C4×D83—82no—
728Dic166—82no—
729C22×C83—22no—
730C22×C83—22no—
731C22×C83—22no—
732C22×C83—22no—
733C22×C83—22no—
734C22×C83—22no—
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×C83C22×#4111yescharacteristic
744C22×C83C2×H(5,𝔽2)11yescharacteristic
745C22×C83C2×H(5,𝔽2)11yescharacteristic
746C22×C83C2×H(5,𝔽2)11yescharacteristic
747C22×C83C2×H(5,𝔽2)11yescharacteristic
748C22×C83C2×2−1+411yescharacteristic
749C22×C83#58511yescharacteristic
750C2×D83—22no—
751C2×D83—22no—
752C2×D83—22no—
753C2×D83—22no—
754C2×D83—22no—
755C2×D83—22no—
756C2×D83—22no—
757C2×D83—22no—
758C2×D83—22no—
759C2×D83—22no—
760C2×D83—22no—
761C2×D83—22no—
762C2×D83—416no—
763C2×D83—41no—
764C2×D83—41no—
765C2×D83—41no—
766C2×D83—41no—
767C2×D83—41no—
768C2×D83—41no—
769C2×D83—41no—
770C2×D83—41no—
771C2×D83—41no—
772C2×D83—41no—
773C2×D83—41no—
774C2×D83—41no—
775C2×D83—41no—
776C2×D83—41no—
777C2×D83—41no—
778C2×D83—88no—
779C2×D83#53914yes—
780C4×C83—22no—
781C4×C83—41no—
782C4×C83—41no—
783C4×C83—41no—
784C4×C83—41no—
785C4×C83—41no—
786C4×C83—41no—
787C4×C83—41no—
788C4×C83—41no—
789C4×C83—41no—
790C4×C83—41no—
791C4×C83—41no—
792C4×C83—41no—
793Dic83—41no—
794Dic83—41no—
795Dic83—41no—
796Dic83—41no—
797Dic83—41no—
798Dic83—41no—
799Dic83—41no—
800Dic83—41no—
801Dic83—41no—
802Dic83—41no—
803Dic83—41no—
804Dic83—41no—
805#36775—831nomaximal, Sylow
806C2×C83—42no—
807C2×C83—42no—
808C2×C83C2×#53911yescharacteristic
809C2×C83#349011yescharacteristic
810C2×C83#350511yescharacteristic
811C2×C83#353211yescharacteristic
812C2×C83#353411yescharacteristic
813C2×C83#353511yescharacteristic
814C2×C83#353611yescharacteristic
815D83—24no—
816D83—42no—
817D83—42no—
818D83—81no—
819#2849—831no—
820#2848—831no—
821#2782—831no—
822#2750—831no—
823#2746—831no—
824#2746D8311yescharacteristic, complemented
825#2743—831no—
826#2728—831no—
827#2708—831no—
828#2708—831no—
829#2706—831no—
830#2696—831no—
831#2695—831no—
832#2693—831no—
833#2693—831no—
834#2691—831no—
835#2687—831no—
836#2681—831no—
837#2646—831no—
838#2643—831no—
839#2505—831no—
840#2480—831no—
841#2450—831no—
842#2437—831no—
843#2418—831no—
844#2412—831no—
845#2410—831no—
846#2405—831no—
847#2321—831no—
848#2315—831no—
849C2×#386—831no—
850C83#3677511yescharacteristic, complemented, Sylow
851C23×D4—831no—
852C24×C4—831no—
853C2×#126—831no—
854C2×#123—831no—
855C2×#123—831no—
856C2×#123—831no—
857C2×#123—831no—
858C2×#123—831no—
859C2×#123—831no—
860C2×C22⋊Q8—831no—
861C2×C22⋊Q8—831no—
862C2×C22⋊Q8—831no—
863C2×C22⋊Q8—831no—
864C2×#121—831no—
865C2×#121—831no—
866C2×#120—831no—
867C2×#120—831no—
868C2×C4×D4—831no—
869C22×C22⋊C4—831no—
870C22×C22⋊C4—831no—
871C22×C22⋊C4—831no—
872C22×C22⋊C4—831no—
873C22×C22⋊C4—831no—
874#401C2×D8311yescharacteristic, complemented
875#400—831no—
876#400—831no—
877#400—831no—
878#400—831no—
879#400—831no—
880#400—831no—
881#400—831no—
882#400—831no—
883#400—831no—
884#400—831no—
885#400C2×D8311yescharacteristic, complemented
886#399—831no—
887#399C2×D8311yescharacteristic, complemented
888#398—831no—
889#398—831no—
890#398—831no—
891#398—831no—
892#398—831no—
893#398C2×D8311yescharacteristic, complemented
894#397—831no—
895#397—831no—
896#397—831no—
897#397—831no—
898#397—831no—
899#397—831no—
900#397—831no—
901#397—831no—
902#397C2×D8311yescharacteristic, complemented
903#396—831no—
904#396—831no—
905#396—831no—
906#396—831no—
907#396—831no—
908#394—831no—
909#394—831no—
910#394—831no—
911#394—831no—
912#394—831no—
913#394—831no—
914#394—831no—
915#394—831no—
916#394—831no—
917#394C2×D8311yescharacteristic
918#393—831no—
919#393—831no—
920#392—831no—
921#392—831no—
922#391—831no—
923#390—831no—
924#390—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#388C2×D8311yescharacteristic, complemented
934#388C2×D8311yescharacteristic, complemented
935#387—831no—
936#387—831no—
937#387C2×D8311yescharacteristic, complemented
938#386—831no—
939#386—831no—
940#386—831no—
941#386—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#386C2×D8311yescharacteristic
959#386C2×D8311yescharacteristic
960#385—831no—
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#385—831no—
978#385—831no—
979#385—831no—
980#385—831no—
981#385—831no—
982#385C2×D8311yescharacteristic, complemented
983#385C2×D8311yescharacteristic, complemented
984#382—831no—
985#381—831no—
986#381—831no—
987#381C2×D8311yescharacteristic, complemented
988#380—831no—
989#380—831no—
990#380—831no—
991#380—831no—
992#380—831no—
993#380—831no—
994#380—831no—
995#380—831no—
996#380—831no—
997#380—831no—
998#380C2×D8311yescharacteristic, complemented
999#379—831no—
1000#379—831no—
1001#379—831no—
1002#379—831no—
1003C4×C22⋊C4—831no—
1004C2×#95—831no—
1005C2×#95—831no—
1006C25—831no—
1007C25—831no—
1008C22×Q8—831no—
1009C22×D4—3322no—
1010C22×D4—3322no—
1011C22×D4—831no—
1012C22×D4—831no—
1013C22×D4—831no—
1014C22×D4—831no—
1015C22×D4—831no—
1016C22×D4—831no—
1017C22×D4—831no—
1018C22×D4—831no—
1019C22×D4—1664no—
1020C22×D4C22×D8311yescharacteristic
1021C23×C4—3322no—
1022C23×C4—3322no—
1023C23×C4—3322no—
1024C23×C4—831no—
1025C23×C4—831no—
1026C23×C4—831no—
1027C23×C4—831no—
1028C23×C4—831no—
1029C23×C4—831no—
1030C23×C4—831no—
1031C23×C4—831no—
1032C23×C4—831no—
1033C23×C4—831no—
1034C23×C4—831no—
1035C23×C4—831no—
1036C23×C4C22×D8311yescharacteristic
1037C23×C4C22×D8311yescharacteristic
1038#126—3322no—
1039#123—3322no—
1040#123—3322no—
1041#123—3322no—
1042#123—3322no—
1043#123—3322no—
1044#123—3322no—
1045C22⋊Q8—3322no—
1046C22⋊Q8—3322no—
1047C22⋊Q8—3322no—
1048C22⋊Q8—3322no—
1049#121—3322no—
1050#121—3322no—
1051#120—3322no—
1052#120—1664no—
1053C4×D4—3322no—
1054C2×C4⋊C4—831no—
1055C2×C4⋊C4—831no—
1056C2×C4⋊C4—831no—
1057C2×C4⋊C4—831no—
1058C2×C4⋊C4—831no—
1059C2×C4⋊C4—831no—
1060C2×C4⋊C4—831no—
1061C2×C4⋊C4—831no—
1062C2×C4⋊C4—831no—
1063C2×C4⋊C4—831no—
1064C2×C4⋊C4—831no—
1065C2×C4⋊C4—831no—
1066C2×C4⋊C4—831no—
1067C2×C4⋊C4—831no—
1068C2×C4⋊C4—831no—
1069C2×C4⋊C4—831no—
1070C2×C4⋊C4—831no—
1071C2×C4⋊C4—831no—
1072C2×C4⋊C4—831no—
1073C2×C4⋊C4—831no—
1074C2×C4⋊C4—831no—
1075C2×C4⋊C4—831no—
1076C2×C4⋊C4—831no—
1077C2×C4⋊C4C22×D8311yescharacteristic
1078C2×C4⋊C4C22×D8311yescharacteristic
1079C2×C4⋊C4C22×D8311yescharacteristic
1080C2×C4⋊C4C22×D8311yescharacteristic
1081C2×C4⋊C4C22×D8311yescharacteristic
1082C2×C4⋊C4C22×D8311yescharacteristic
1083C2×C4⋊C4C22×D8311yescharacteristic
1084C2×C22⋊C4—3322no—
1085C2×C22⋊C4—3322no—
1086C2×C22⋊C4—3322no—
1087C2×C22⋊C4—3322no—
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—831no—
1122C2×C22⋊C4—831no—
1123C2×C22⋊C4—831no—
1124C2×C22⋊C4—831no—
1125C2×C22⋊C4—831no—
1126C2×C22⋊C4—831no—
1127C2×C22⋊C4—831no—
1128C2×C22⋊C4—831no—
1129C2×C22⋊C4—831no—
1130C2×C22⋊C4—1664no—
1131C2×C22⋊C4C22×D8311yescharacteristic
1132C2×C22⋊C4C22×D8311yescharacteristic
1133C2×C22⋊C4C22×D8311yescharacteristic
1134C2×C22⋊C4C22×D8311yescharacteristic
1135C2×C22⋊C4C22×D8311yescharacteristic
1136C2×C22⋊C4C22×D8311yescharacteristic
1137C2×C22⋊C4C22×D8311yescharacteristic
1138C2×C22⋊C4C22×D8311yescharacteristic
1139C2×C22⋊C4C22×D8311yescharacteristic
1140C2×C22⋊C4C22×D8311yescharacteristic
1141C2×C42—831no—
1142C2×C42—831no—
1143C2×C42C22×D8311yescharacteristic
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
1180#95C22×D8311yescharacteristic
1181#95C22×D8311yescharacteristic
1182#95C22×D8311yescharacteristic
1183#95C22×D8311yescharacteristic
1184#95C22×D8311yescharacteristic
1185#95C22×D8311yescharacteristic
1186#95C22×D8311yescharacteristic
1187#95C22×D8311yescharacteristic
1188C24—3321no—
1189C24—3321no—
1190C24—3321no—
1191C24—3321no—
1192C24—3321no—
1193C24—3321no—
1194C24—834no—
1195C24—831no—
1196C24—831no—
1197C24—831no—
1198C24—831no—
1199C24—1662no—
1200C24—1662no—
1201C24—1662no—
1202C24—1662no—
1203C24—1662no—
1204C24—1662no—
1205C24—1662no—
1206C24C23×D8311yescharacteristic
1207C24C23×D8311yescharacteristic
1208C2×Q8—3321no—
1209C2×Q8—3321no—
1210C2×Q8—1662no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—41no—
1214C2×D4—3321no—
1215C2×D4—3321no—
1216C2×D4—3321no—
1217C2×D4—3321no—
1218C2×D4—3321no—
1219C2×D4—33216no—
1220C2×D4—3321no—
1221C2×D4—3321no—
1222C2×D4—3321no—
1223C2×D4—3321no—
1224C2×D4—3321no—
1225C2×D4—3321no—
1226C2×D4—1662no—
1227C2×D4—1662no—
1228C2×D4—1662no—
1229C2×D4—1662no—
1230C2×D4—1662no—
1231C2×D4—1662no—
1232C2×D4—1662no—
1233C2×D4—1662no—
1234C2×D4—1662no—
1235C2×D4—1662no—
1236C2×D4—1662no—
1237C2×D4—1662no—
1238C2×D4—1662no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
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—3321no—
1258C22×C4—3321no—
1259C22×C4—3321no—
1260C22×C4—3321no—
1261C22×C4—3321no—
1262C22×C4—3321no—
1263C22×C4—3321no—
1264C22×C4—3321no—
1265C22×C4—3321no—
1266C22×C4—33216no—
1267C22×C4—3321no—
1268C22×C4—3321no—
1269C22×C4—3321no—
1270C22×C4—3321no—
1271C22×C4—3321no—
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—831no—
1282C22×C4—831no—
1283C22×C4—831no—
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×C4—1662no—
1293C22×C4—1662no—
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
1304C22×C4C23×D8311yescharacteristic
1305C22×C4C23×D8311yescharacteristic
1306C22×C4C23×D8311yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—3321no—
1315C4⋊C4—3321no—
1316C4⋊C4—3321no—
1317C4⋊C4—3321no—
1318C4⋊C4—3321no—
1319C4⋊C4—3321no—
1320C4⋊C4—3321no—
1321C4⋊C4—3321no—
1322C4⋊C4—3321no—
1323C4⋊C4—3321no—
1324C4⋊C4—3321no—
1325C4⋊C4—3321no—
1326C4⋊C4—3321no—
1327C4⋊C4—3321no—
1328C4⋊C4—3321no—
1329C4⋊C4—3321no—
1330C4⋊C4—3321no—
1331C4⋊C4—3321no—
1332C4⋊C4—3321no—
1333C4⋊C4—3321no—
1334C4⋊C4—3321no—
1335C4⋊C4—3321no—
1336C4⋊C4—1662no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
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—3321no—
1369C22⋊C4—3321no—
1370C22⋊C4—3321no—
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—
1382C22⋊C4—1662no—
1383C22⋊C4—1662no—
1384C22⋊C4—1662no—
1385C22⋊C4—1662no—
1386C22⋊C4—1662no—
1387C22⋊C4—1662no—
1388C22⋊C4—1662no—
1389C42—41no—
1390C42—3321no—
1391C42—3321no—
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—3324no—
1405C23—3324no—
1406C23—3324no—
1407C23—3324no—
1408C23—3324no—
1409C23—3324no—
1410C23—3324no—
1411C23—3324no—
1412C23—832no—
1413C23—832no—
1414C23—832no—
1415C23—832no—
1416C23—832no—
1417C23—6642no—
1418C23—6642no—
1419C23—6642no—
1420C23—6642no—
1421C23—1668no—
1422C23—1668no—
1423C23—1661no—
1424C23—1661no—
1425C23—1661no—
1426C23—1661no—
1427C23—1661no—
1428C23—1661no—
1429C23—1661no—
1430C23—1661no—
1431C23—1661no—
1432C23—1661no—
1433C23—1661no—
1434C23—1661no—
1435C23—1661no—
1436C23—1661no—
1437C23—1661no—
1438C23—1661no—
1439C23—1661no—
1440C23—1661no—
1441C23—1661no—
1442C23—1661no—
1443C23—1661no—
1444C23—1661no—
1445C23—1661no—
1446C23#41×D8312yes—
1447C23#1458183812yes—
1448C23C24×D8311yescharacteristic
1449Q8—6642no—
1450D4—44no—
1451D4—3324no—
1452D4—3324no—
1453D4—3324no—
1454D4—3324no—
1455D4—6642no—
1456D4—6642no—
1457D4—6642no—
1458D4—6642no—
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—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—44no—
1498C2×C4—82no—
1499C2×C4—3324no—
1500C2×C4—3324no—
1501C2×C4—3324no—
1502C2×C4—3324no—
1503C2×C4—3324no—
1504C2×C4—3324no—
1505C2×C4—6642no—
1506C2×C4—6642no—
1507C2×C4—6642no—
1508C2×C4—6642no—
1509C2×C4—6642no—
1510C2×C4—6642no—
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—1661no—
1539C2×C4—1661no—
1540C2×C4—1661no—
1541C2×C4—1661no—
1542C2×C4—1661no—
1543C2×C4—1661no—
1544C2×C4—1661no—
1545C2×C4—1661no—
1546C2×C4—1661no—
1547C2×C4#1458183812yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—33216no—
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—3321no—
1576C22—3321no—
1577C22—3321no—
1578C22—834no—
1579C22—6648no—
1580C22—1662no—
1581C22—1662no—
1582C22—1662no—
1583C22—1662no—
1584C22—1662no—
1585C22—1662no—
1586C22—1662no—
1587C22—1662no—
1588C22—1662no—
1589C22—1662no—
1590C22—1662no—
1591C22—1662no—
1592C22C2×#41×D8311yescharacteristic
1593C22H(5,𝔽2)×D8311yescharacteristic
1594C22H(5,𝔽2)×D8311yescharacteristic
1595C22C2×#1458183811yescharacteristic
1596C22C2×#1458183811yescharacteristic
1597C222−1+4×D8311yescharacteristic
1598C22#1912853611yescharacteristic
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—3321no—
1613C4—3321no—
1614C4—3321no—
1615C4—3321no—
1616C4—3321no—
1617C4—3321no—
1618C4—3321no—
1619C4—3321no—
1620C4—3321no—
1621C4—3321no—
1622C4—3321no—
1623C4—3321no—
1624C2—42no—
1625C2—42no—
1626C2—3322no—
1627C2—3322no—
1628C2—6641no—
1629C2—1664no—
1630C2#539×D8311yescharacteristic
1631C2#2492114711yescharacteristic
1632C2#2492129211yescharacteristic
1633C2#2492161911yescharacteristic
1634C2#2492164411yescharacteristic
1635C2#2492167011yescharacteristic
1636C2#2492168811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2746C2
prime radical#24910836C2
hypercenter#2746D83
hypocenterC83#36775
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2746

Complements

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

NH ≅ G/Ntype
1. #24915756C2semidirect
2. #24915751C2semidirect
3. #24915140C2semidirect
4. #24914695C2semidirect
5. #24914640C2semidirect
6. #24914609C2semidirect
7. #24914435C2semidirect
8. #24914183C2semidirect
9. #24914182C2semidirect
10. #24914149C2semidirect
11. #24914011C2semidirect
12. #24914000C2semidirect
13. #24913973C2semidirect
14. #24913972C2semidirect
15. #24913948C2semidirect
16. #24913884C2semidirect
17. #24913819C2semidirect
18. #24913434C2semidirect
19. #24913421C2semidirect
20. #24911961C2semidirect
21. #24911715C2semidirect
22. #24911288C2semidirect
23. #24911127C2semidirect
24. #24910928C2semidirect
25. #24910852C2semidirect
27. #24910785C2semidirect
28. #24910116C2semidirect
29. #24910074C2semidirect
30. #386×D83C2semidirect
31. C83×#2746C2semidirect
34. C2×#14581787C22semidirect
36. C2×#14581777C22semidirect
37. C2×#14581777C22semidirect
38. C2×#14581776C22semidirect
39. C2×#14581775C22semidirect
42. C2×#14581772C22semidirect
43. C2×#14581771C22semidirect
44. C2×#14581769C22semidirect
55. #19127643C22semidirect
56. #19127643C22semidirect
57. #19127643C22semidirect
58. #19127643C22semidirect
59. #19127642C22semidirect
60. #19127642C22semidirect
61. #19127641C22semidirect
62. #19127640C22semidirect
63. #19127640C22semidirect
64. #19127639C22semidirect
65. #19127638C22semidirect
66. #19127635C22semidirect
67. #19127635C22semidirect
68. #19127634C22semidirect
69. #19127633C22semidirect
70. #19127633C22semidirect
71. #19127630C22semidirect
72. #19127630C22semidirect
73. #19127629C22semidirect
74. #19127629C22semidirect
75. #19127628C22semidirect
76. #19127628C22semidirect
77. #19127628C22semidirect
78. #19127627C22semidirect
79. #19127625C22semidirect
80. #19127624C22semidirect
81. #19127623C22semidirect
82. #19127623C22semidirect
83. #19127623C22semidirect
85. #19127618C22semidirect
88. #19127617C22semidirect
89. #19127617C22semidirect
91. #19127616C22semidirect
93. #19127614C22semidirect
94. #19127614C22semidirect
97. #19127605C22semidirect
98. #19127603C22semidirect
99. #19127601C22semidirect
100. #19127598C22semidirect
101. #19127594C22semidirect
102. #19127593C22semidirect
103. #19127592C22semidirect
104. #19127591C22semidirect
105. #19127590C22semidirect
106. #19127589C22semidirect
107. #19127589C22semidirect
108. #19127588C22semidirect
109. #19127587C22semidirect
119. #19127579C22semidirect
120. #19127579C22semidirect
121. #19127579C22semidirect
122. #19127579C22semidirect
128. #19127577C22semidirect
129. #19127577C22semidirect
130. #19127576C22semidirect
131. #19127576C22semidirect
132. #19127576C22semidirect
133. #19127576C22semidirect
141. #19127575C22semidirect
142. #19127575C22semidirect
143. #19127575C22semidirect
144. #19127575C22semidirect
145. #19127575C22semidirect
146. #19127574C22semidirect
147. #19127573C22semidirect
151. #19127572C22semidirect
152. #19127567C22semidirect
153. #19127563C22semidirect
154. #19127562C22semidirect
155. #19127561C22semidirect
157. #19127560C22semidirect
158. #19127560C22semidirect
161. #19127558C22semidirect
162. #19127558C22semidirect
163. #19127558C22semidirect
164. #19127558C22semidirect
172. #401×C83C22semidirect
173. #400×C83C22semidirect
174. #399×C83C22semidirect
175. #398×C83C22semidirect
176. #397×C83C22semidirect
178. #388×C83C22semidirect
179. #388×C83C22semidirect
180. #387×C83C22semidirect
183. #385×C83C22semidirect
184. #385×C83C22semidirect
185. #381×C83C22semidirect
186. #380×C83C22semidirect
824. #2746D83semidirect
850. C83#36775semidirect
874. #401C2×D83semidirect
885. #400C2×D83semidirect
887. #399C2×D83semidirect
893. #398C2×D83semidirect
902. #397C2×D83semidirect
933. #388C2×D83semidirect
934. #388C2×D83semidirect
937. #387C2×D83semidirect
982. #385C2×D83semidirect
983. #385C2×D83semidirect
987. #381C2×D83semidirect
998. #380C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157562
#249157512
#249151402
#249146952
#249146402
#249146092
#249144352
#249141832
#249141822
#249141492
#249140112
#249140002
#249139732
#249139722
#249139482
#249138842
#249138192
#249134342
#249134212
#249119612
#249117152
#249112882
#249111272
#249109282
#249108522
#249108362
#249107852
#249101162
#249100742
#386×D832
C83×#27462
#3677583