Finite Group Databasebeta

← #35577229

Subgroups — #35577229

Order 21248.

2314 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#24915789C211yesmaximal, characteristic, complemented
2#24915788C211yesmaximal, characteristic, complemented
3#24915776C211yesmaximal, characteristic, complemented
4#24915760C211yesmaximal, characteristic, complemented
5#24913533C211yesmaximal, characteristic, complemented
6#24913465C211yesmaximal, characteristic, complemented
7#24913458C211yesmaximal, characteristic, complemented
8#24913448C211yesmaximal, characteristic, complemented
9#24912127C211yesmaximal, characteristic, complemented
10#24912118C211yesmaximal, characteristic, complemented
11#24912023C211yesmaximal, characteristic, complemented
12#24912016C211yesmaximal, characteristic, complemented
13#24911959C211yesmaximal, characteristic, complemented
14#24911791C211yesmaximal, characteristic, complemented
15#24911702C211yesmaximal, characteristic, complemented
16#24911590C211yesmaximal, characteristic, complemented
17#24911519C211yesmaximal, characteristic, complemented
18#24911397C211yesmaximal, characteristic, complemented
19#24911127C211yesmaximal, characteristic, complemented
20#24911008C211yesmaximal, characteristic, complemented
21#24910862C211yesmaximal, characteristic, complemented
22#24910834C211yesmaximal, characteristic
23#24910789C211yesmaximal, characteristic, complemented
24#24910192C211yesmaximal, characteristic, complemented
25#24910119C211yesmaximal, characteristic, complemented
26#24910092C211yesmaximal, characteristic, complemented
27#24910057C211yesmaximal, characteristic, complemented
28C4×#14581760C211yesmaximal, characteristic, complemented
29#386×D83C211yesmaximal, characteristic, complemented
30C2×#19127548C211yesmaximal, characteristic, complemented
31C83×#2444C211yesmaximal, characteristic, complemented
32C22×D4×D83C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34C2×#14581785C2211yescharacteristic, complemented
35C2×#14581778C2211yescharacteristic, complemented
36C2×#14581776C2211yescharacteristic
37C2×#14581773C2211yescharacteristic
38C2×#14581773C2211yescharacteristic, complemented
39C2×#14581772C2211yescharacteristic
40C2×#14581769C2211yescharacteristic, complemented
41C2×#14581764C2211yescharacteristic
42C2×#14581760C2211yescharacteristic
43C2×#14581760C2211yescharacteristic
44C2×C4×C22⋊D83C2211yescharacteristic
45C2×C4×C22⋊D83C2211yescharacteristic, complemented
46C22×(C2×D83)⋊C4C2211yescharacteristic
47C22×(C2×D83)⋊C4C2211yescharacteristic
48C2×C22⋊C4×D83C2211yescharacteristic
49C2×C22⋊C4×D83C2211yescharacteristic
50C2×C22⋊C4×D83C2211yescharacteristic
51C22×C4×Dic83C2211yescharacteristic, complemented
52C22×C4×Dic83C2211yescharacteristic, complemented
53C83⋊#401C2211yescharacteristic, complemented
54#19127643C2211yescharacteristic, complemented
55#19127643C2211yescharacteristic, complemented
56#19127642C2211yescharacteristic, complemented
57#19127638C2211yescharacteristic, complemented
58#19127631C2211yescharacteristic, complemented
59#19127630C2211yescharacteristic, complemented
60#19127630C2211yescharacteristic, complemented
61#19127630C2211yescharacteristic, complemented
62#19127629C2211yescharacteristic, complemented
63#19127628C2211yescharacteristic, complemented
64#19127626C2211yescharacteristic, complemented
65#19127623C2211yescharacteristic, complemented
66#19127623C2211yescharacteristic, complemented
67#19127623C2211yescharacteristic, complemented
68#19127619C2211yescharacteristic
69#19127619C2211yescharacteristic
70#19127618C2211yescharacteristic
71#19127617C2211yescharacteristic
72#19127617C2211yescharacteristic
73#19127617C2211yescharacteristic, complemented
74#19127616C2211yescharacteristic
75#19127616C2211yescharacteristic, complemented
76#19127616C2211yescharacteristic, complemented
77#19127614C2211yescharacteristic, complemented
78#19127613C2211yescharacteristic, complemented
79#19127610C2211yescharacteristic
80#19127609C2211yescharacteristic
81#19127605C2211yescharacteristic, complemented
82#19127605C2211yescharacteristic, complemented
83#19127604C2211yescharacteristic, complemented
84#19127604C2211yescharacteristic, complemented
85#19127601C2211yescharacteristic, complemented
86#19127599C2211yescharacteristic, complemented
87#19127597C2211yescharacteristic, complemented
88#19127597C2211yescharacteristic, complemented
89#19127595C2211yescharacteristic, complemented
90#19127594C2211yescharacteristic, complemented
91#19127594C2211yescharacteristic, complemented
92#19127594C2211yescharacteristic, complemented
93#19127593C2211yescharacteristic, complemented
94#19127593C2211yescharacteristic, complemented
95#19127592C2211yescharacteristic, complemented
96#19127591C2211yescharacteristic, complemented
97#19127591C2211yescharacteristic, complemented
98#19127590C2211yescharacteristic, complemented
99#19127590C2211yescharacteristic, complemented
100#19127590C2211yescharacteristic, complemented
101#19127590C2211yescharacteristic, complemented
102#19127589C2211yescharacteristic, complemented
103#19127589C2211yescharacteristic, complemented
104#19127589C2211yescharacteristic, complemented
105#19127589C2211yescharacteristic, complemented
106#19127589C2211yescharacteristic, complemented
107#19127589C2211yescharacteristic, complemented
108#19127589C2211yescharacteristic, complemented
109#19127588C2211yescharacteristic, complemented
110#19127588C2211yescharacteristic, complemented
111#19127588C2211yescharacteristic, complemented
112#19127587C2211yescharacteristic, complemented
113#19127587C2211yescharacteristic, complemented
114#19127586C2211yescharacteristic, complemented
115#19127584C2211yescharacteristic, complemented
116#19127583C2211yescharacteristic, complemented
117#19127581C2211yescharacteristic
118#19127581C2211yescharacteristic
119#19127581C2211yescharacteristic, complemented
120#19127580C2211yescharacteristic
121#19127580C2211yescharacteristic
122#19127580C2211yescharacteristic
123#19127580C2211yescharacteristic, complemented
124#19127579C2211yescharacteristic
125#19127579C2211yescharacteristic
126#19127578C2211yescharacteristic
127#19127577C2211yescharacteristic
128#19127577C2211yescharacteristic
129#19127577C2211yescharacteristic
130#19127577C2211yescharacteristic
131#19127577C2211yescharacteristic
132#19127577C2211yescharacteristic
133#19127577C2211yescharacteristic, complemented
134#19127576C2211yescharacteristic, complemented
135#19127575C2211yescharacteristic
136#19127575C2211yescharacteristic
137#19127575C2211yescharacteristic
138#19127575C2211yescharacteristic
139#19127574C2211yescharacteristic, complemented
140#19127573C2211yescharacteristic, complemented
141#19127572C2211yescharacteristic
142#19127572C2211yescharacteristic
143#19127572C2211yescharacteristic, complemented
144#19127568C2211yescharacteristic, complemented
145#19127568C2211yescharacteristic, complemented
146#19127565C2211yescharacteristic, complemented
147#19127565C2211yescharacteristic, complemented
148#19127562C2211yescharacteristic, complemented
149#19127561C2211yescharacteristic, complemented
150#19127561C2211yescharacteristic, complemented
151#19127560C2211yescharacteristic
152#19127560C2211yescharacteristic
153#19127558C2211yescharacteristic
154#19127556C2211yescharacteristic
155#19127556C2211yescharacteristic
156#19127556C2211yescharacteristic
157#19127556C2211yescharacteristic
158C4×(C2×D83)⋊C4C2211yescharacteristic
159C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
160C4×C22⋊Dic83C2211yescharacteristic, complemented
161#19127548C2211yescharacteristic
162#19127548C2211yescharacteristic
163#19127548C2211yescharacteristic
164#19127548C2211yescharacteristic
165#19127548C2211yescharacteristic, complemented
166#19127548C2211yescharacteristic, complemented
167#19127548C2211yescharacteristic, complemented
168#19127548C2211yescharacteristic, complemented
169C2×C83⋊#95C2211yescharacteristic, complemented
170#95×D83C2211yescharacteristic
171#95×D83C2211yescharacteristic
172C2×#121×C83C2211yescharacteristic
173C2×C4×D4×C83C2211yescharacteristic, complemented
174#400×C83C2211yescharacteristic, complemented
175#397×C83C2211yescharacteristic, complemented
176#397×C83C2211yescharacteristic, complemented
177#394×C83C2211yescharacteristic, complemented
178#388×C83C2211yescharacteristic, complemented
179#387×C83C2211yescharacteristic, complemented
180#386×C83C2211yescharacteristic
181#386×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic, complemented
183#386×C83C2211yescharacteristic, complemented
184#385×C83C2211yescharacteristic, complemented
185#381×C83C2211yescharacteristic, complemented
186C2×#95×C83C2211yescharacteristic, complemented
187C24×D83C2311yescharacteristic
188C24×D83C2311yescharacteristic
189C22×Dic166C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C2×D4×D83—24no—
197C2×D4×D83—42no—
198C2×D4×D83—42no—
199C23×Dic83C2311yescharacteristic
200C23×Dic83C2311yescharacteristic
201C23×Dic83C2311yescharacteristic
202C22×C4×D83—24no—
203C22×C4×D83—42no—
204C22×C4×D83—42no—
205C22×C4×D83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208C22×C4×D83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212#14581785—42no—
213#14581778—42no—
214#14581776—42no—
215#14581773—42no—
216#14581773—42no—
217#14581772—24no—
218#14581769—42no—
219#14581764—42no—
220#14581760—24no—
221#14581760—24no—
222C4×C22⋊D83—24no—
223C4×C22⋊D83—42no—
224C2×C4⋊Dic83C2311yescharacteristic
225C2×C4⋊Dic83C2311yescharacteristic
226C2×C4⋊Dic83C2311yescharacteristic
227C2×C4⋊Dic83C2311yescharacteristic
228C2×C4⋊Dic83C2311yescharacteristic
229C2×C4⋊Dic83C2311yescharacteristic
230C2×C4⋊Dic83C2311yescharacteristic
231C2×Dic83⋊C4C2311yescharacteristic
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×C22⋊Dic83C2311yescharacteristic
243C2×C22⋊Dic83C2311yescharacteristic
244C2×C22⋊Dic83C2311yescharacteristic
245C2×C22⋊Dic83C2311yescharacteristic
246C2×C22⋊Dic83C2311yescharacteristic
247C2×C22⋊Dic83C2311yescharacteristic
248C2×C22⋊Dic83C2311yescharacteristic
249C2×C22⋊Dic83C2311yescharacteristic
250C2×C22⋊Dic83C2311yescharacteristic
251C2×C22⋊Dic83C2311yescharacteristic
252C2×C22⋊Dic83C2311yescharacteristic
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×C22⋊Dic83C2311yescharacteristic
256C2×(C2×D83)⋊C4—24no—
257C2×(C2×D83)⋊C4—24no—
258C2×(C2×D83)⋊C4C2311yescharacteristic
259C2×(C2×D83)⋊C4C2311yescharacteristic
260C2×(C2×D83)⋊C4C2311yescharacteristic
261C2×(C2×D83)⋊C4C2311yescharacteristic
262C2×(C2×D83)⋊C4C2311yescharacteristic
263C2×(C2×D83)⋊C4C2311yescharacteristic
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
285C22⋊C4×D83—24no—
286C22⋊C4×D83—42no—
287C22⋊C4×D83—42no—
288C2×C4×Dic83—42no—
289C2×C4×Dic83—42no—
290C2×C4×Dic83C2311yescharacteristic
291C2×C4×Dic83C2311yescharacteristic
292C2×C4×Dic83C2311yescharacteristic
293C2×C4×Dic83C2311yescharacteristic
294C2×C4×Dic83C2311yescharacteristic
295C2×C4×Dic83C2311yescharacteristic
296C2×C4×Dic83C2311yescharacteristic
297C2×C4×Dic83C2311yescharacteristic
298C2×C4×Dic83C2311yescharacteristic
299C2×C4×Dic83C2311yescharacteristic
300C83⋊#95C2311yescharacteristic
301C83⋊#95C2311yescharacteristic
302C83⋊#95C2311yescharacteristic
303C83⋊#95C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C22×D4×C83C2311yescharacteristic
333C22×D4×C83C2311yescharacteristic
334C22×D4×C83C2311yescharacteristic
335C23×C4×C83C2311yescharacteristic
336C23×C4×C83C2311yescharacteristic
337C23×C4×C83C2311yescharacteristic
338C23×C4×C83C2311yescharacteristic
339#121×C83—42no—
340C4×D4×C83—42no—
341C2×C4⋊C4×C83C2311yescharacteristic
342C2×C4⋊C4×C83C2311yescharacteristic
343C2×C4⋊C4×C83C2311yescharacteristic
344C2×C4⋊C4×C83C2311yescharacteristic
345C2×C22⋊C4×C83C2311yescharacteristic
346C2×C22⋊C4×C83C2311yescharacteristic
347C2×C22⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C42×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
386C2×Dic166—22no—
387C2×Dic166—41no—
388C2×Dic166—41no—
389C2×D332—22no—
390C2×D332—41no—
391C2×D332—41no—
392C2×C22⋊D83—22no—
393C2×C22⋊D83—22no—
394C2×C22⋊D83—22no—
395C2×C22⋊D83—22no—
396C2×C22⋊D83—22no—
397C2×C22⋊D83—22no—
398C2×C22⋊D83—22no—
399C2×C22⋊D83—22no—
400C2×C22⋊D83—22no—
401C2×C22⋊D83—41no—
402C2×C22⋊D83—41no—
403C2×C22⋊D83—41no—
404C2×C22⋊D83—41no—
405C2×C22⋊D83—41no—
406C2×C22⋊D83—41no—
407D4×D83—416no—
408C22×Dic83—22no—
409C22×Dic83—22no—
410C22×Dic83—22no—
411C22×Dic83—22no—
412C22×Dic83—22no—
413C22×Dic83—22no—
414C22×Dic83—22no—
415C22×Dic83—22no—
416C22×Dic83—41no—
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C22×Dic83C2411yescharacteristic
429C22×Dic83C2411yescharacteristic
430C2×C4×D83—22no—
431C2×C4×D83—22no—
432C2×C4×D83—22no—
433C2×C4×D83—22no—
434C2×C4×D83—22no—
435C2×C4×D83—22no—
436C2×C4×D83—22no—
437C2×C4×D83—22no—
438C2×C4×D83—41no—
439C2×C4×D83—41no—
440C2×C4×D83—41no—
441C2×C4×D83—41no—
442C2×C4×D83—41no—
443C2×C4×D83—41no—
444C2×C4×D83—41no—
445C2×C4×D83—41no—
446C2×C4×D83—416no—
447C2×C4×D83—41no—
448C2×C4×D83—41no—
449C2×C4×D83—41no—
450C2×C4×D83—41no—
451C2×C4×D83#4114yes—
452C4⋊Dic83—22no—
453C4⋊Dic83—22no—
454C4⋊Dic83—41no—
455C4⋊Dic83—41no—
456C4⋊Dic83—41no—
457C4⋊Dic83—41no—
458C4⋊Dic83—41no—
459Dic83⋊C4—22no—
460Dic83⋊C4—22no—
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—
470C22⋊Dic83—22no—
471C22⋊Dic83—22no—
472C22⋊Dic83—22no—
473C22⋊Dic83—22no—
474C22⋊Dic83—22no—
475C22⋊Dic83—22no—
476C22⋊Dic83—22no—
477C22⋊Dic83—22no—
478C22⋊Dic83—41no—
479C22⋊Dic83—41no—
480C22⋊Dic83—41no—
481C22⋊Dic83—41no—
482C22⋊Dic83—41no—
483C22⋊Dic83—41no—
484(C2×D83)⋊C4—22no—
485(C2×D83)⋊C4—22no—
486(C2×D83)⋊C4—22no—
487(C2×D83)⋊C4—22no—
488(C2×D83)⋊C4—22no—
489(C2×D83)⋊C4—22no—
490(C2×D83)⋊C4—22no—
491(C2×D83)⋊C4—22no—
492(C2×D83)⋊C4—22no—
493(C2×D83)⋊C4—22no—
494(C2×D83)⋊C4—22no—
495(C2×D83)⋊C4—22no—
496(C2×D83)⋊C4—22no—
497(C2×D83)⋊C4—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—
505(C2×D83)⋊C4—41no—
506(C2×D83)⋊C4—41no—
507(C2×D83)⋊C4—41no—
508(C2×D83)⋊C4—41no—
509(C2×D83)⋊C4—41no—
510(C2×D83)⋊C4#4114yes—
511C4×Dic83—22no—
512C4×Dic83—22no—
513C4×Dic83—22no—
514C4×Dic83—41no—
515C4×Dic83—41no—
516C4×Dic83—41no—
517C4×Dic83—41no—
518C4×Dic83—41no—
519C4×Dic83—41no—
520C4×Dic83—41no—
521C24×C83C2411yescharacteristic
522C24×C83C2411yescharacteristic
523C24×C83C2411yescharacteristic
524C2×D4×C83—22no—
525C2×D4×C83—22no—
526C2×D4×C83—22no—
527C2×D4×C83—22no—
528C2×D4×C83—22no—
529C2×D4×C83—22no—
530C2×D4×C83—22no—
531C2×D4×C83—41no—
532C2×D4×C83—41no—
533C22×C4×C83—22no—
534C22×C4×C83—22no—
535C22×C4×C83—22no—
536C22×C4×C83—22no—
537C22×C4×C83—22no—
538C22×C4×C83—22no—
539C22×C4×C83—41no—
540C22×C4×C83—41no—
541C22×C4×C83—41no—
542C22×C4×C83—41no—
543C22×C4×C83—41no—
544C22×C4×C83—41no—
545C22×C4×C83C2411yescharacteristic
546C22×C4×C83C2411yescharacteristic
547C22×C4×C83C2411yescharacteristic
548C22×C4×C83C2411yescharacteristic
549C22×C4×C83C2411yescharacteristic
550C22×C4×C83C2411yescharacteristic
551C22×C4×C83C2411yescharacteristic
552C22×C4×C83C2411yescharacteristic
553C22×C4×C83C2411yescharacteristic
554C22×C4×C83C2411yescharacteristic
555C22×C4×C83C2411yescharacteristic
556C22×C4×C83C2411yescharacteristic
557C4⋊C4×C83—22no—
558C4⋊C4×C83—41no—
559C4⋊C4×C83—41no—
560C4⋊C4×C83—41no—
561C22⋊C4×C83—22no—
562C22⋊C4×C83—22no—
563C22⋊C4×C83—22no—
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—
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×C83—21no—
586C23×C83—21no—
587C23×C83—21no—
588C23×C83—21no—
589C23×C83—21no—
590C23×C83—21no—
591C23×C83C2×#4112yes—
592C23×C83H(5,𝔽2)12yes—
593C23×C83H(5,𝔽2)12yes—
594C23×C83C2511yescharacteristic
595C22×D83—21no—
596C22×D83—21no—
597C22×D83—21no—
598C22×D83—21no—
599C22×D83—28no—
600C22×D83—21no—
601C22×D83—21no—
602C22×D83—21no—
603C22×D83—21no—
604C22×D83—21no—
605C22×D83—21no—
606C22×D83—28no—
607C22×D83—21no—
608C22×D83—21no—
609C22×D83—21no—
610C22×D83—21no—
611C22×D83—21no—
612C22×D83—21no—
613C22×D83—21no—
614C22×D83—44no—
615C22×D83—44no—
616C22×D83—44no—
617C22×D83—44no—
618C22×D83—44no—
619C22×D83—44no—
620C22×D83—44no—
621C22×D83—44no—
622C22×D83—82no—
623C22×D83—82no—
624C22×D83—82no—
625C22×D83—82no—
626C22×D83C2×#4112yes—
627C22×D83C2×#4112yes—
628C22×D83C2×#4112yes—
629C22×D83C2×#4112yes—
630D4×C83—44no—
631D4×C83—44no—
632D4×C83—82no—
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—44no—
668C2×C4×C83—44no—
669C2×C4×C83—44no—
670C2×C4×C83—82no—
671C2×C4×C83C2×#4112yes—
672C2×C4×C83C2×#4112yes—
673C22⋊D83—44no—
674C22⋊D83—44no—
675C22⋊D83—44no—
676C22⋊D83—44no—
677C22⋊D83—82no—
678C2×Dic83—28no—
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—21no—
713C2×Dic83—21no—
714C2×Dic83—21no—
715C2×Dic83—44no—
716C2×Dic83—44no—
717C2×Dic83C2×#4112yes—
718C2×Dic83C2×#4112yes—
719C2×Dic83H(5,𝔽2)12yes—
720D332—44no—
721C4×D83—44no—
722C4×D83—44no—
723C4×D83—44no—
724C4×D83—44no—
725C4×D83—44no—
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×C83—41no—
744C22×C83—41no—
745C22×C83—41no—
746C22×C83—41no—
747C22×C83—41no—
748C22×C83—41no—
749C22×C83#53814yes—
750C22×C83C22×#4111yescharacteristic
751C22×C83C22×#4111yescharacteristic
752C22×C83C22×#4111yescharacteristic
753C22×C83C2×H(5,𝔽2)11yescharacteristic
754C22×C83C2×H(5,𝔽2)11yescharacteristic
755C22×C83C2×H(5,𝔽2)11yescharacteristic
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—41no—
772C2×D83—41no—
773C2×D83—41no—
774C2×D83—41no—
775C2×D83—41no—
776C2×D83—41no—
777C2×D83—41no—
778C2×D83—88no—
779C2×D83#52914yes—
780C4×C83—22no—
781C4×C83—22no—
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—
792Dic83—22no—
793Dic83—22no—
794Dic83—22no—
795Dic83—41no—
796Dic83—41no—
797Dic83—41no—
798Dic83—41no—
799Dic83—41no—
800Dic83—41no—
801Dic83—41no—
802Dic83—41no—
803Dic83—41no—
804Dic83—41no—
805#34998—831nomaximal, Sylow
806C2×C83—24no—
807C2×C83—81no—
808C2×C83—81no—
809C2×C83C2×#52911yescharacteristic
810C2×C83C2×#53811yescharacteristic
811C2×C83#345911yescharacteristic
812C2×C83#349011yescharacteristic
813C2×C83#349411yescharacteristic
814C2×C83#351311yescharacteristic
815C2×C83#351911yescharacteristic
816D83—24no—
817D83—42no—
818D83—81no—
819#2854—831no—
820#2853—831no—
821#2852—831no—
822#2850—831no—
823#2653—831no—
824#2649—831no—
825#2648—831no—
826#2648—831no—
827#2518—831no—
828#2518—831no—
829#2510—831no—
830#2510—831no—
831#2505—831no—
832#2488—831no—
833#2480—831no—
834#2472—831no—
835#2467—831no—
836#2459—831no—
837#2444D8311yescharacteristic, complemented
838#2437—831no—
839#2425—831no—
840#2412—831no—
841#2410—831no—
842#2405—831no—
843#2329—831no—
844#2321—831no—
845#2318—831no—
846#2312—831no—
847C4×#120—831no—
848C2×#386—831no—
849C2×C4×C22⋊C4—831no—
850C83#3499811yescharacteristic, complemented, Sylow
851C23×D4—831no—
852C24×C4—831no—
853C2×#126—831no—
854C2×#124—831no—
855C2×#123—831no—
856C2×#123—831no—
857C2×#123—831no—
858C2×C22⋊Q8—831no—
859C2×C22⋊Q8—831no—
860C2×#121—831no—
861C2×#121C2×D8311yescharacteristic
862C2×#120—831no—
863C2×#120—831no—
864C2×C4×D4—831no—
865C2×C4×D4—831no—
866C2×C4×D4C2×D8311yescharacteristic, complemented
867C22×C22⋊C4—831no—
868C22×C22⋊C4—831no—
869C22×C22⋊C4—831no—
870C22×C22⋊C4—831no—
871C22×C22⋊C4—831no—
872C22×C42—831no—
873C22×C42—831no—
874#401—831no—
875#400—831no—
876#400—831no—
877#400—831no—
878#400C2×D8311yescharacteristic, complemented
879#399—831no—
880#398—831no—
881#397—831no—
882#397—831no—
883#397—831no—
884#397—831no—
885#397—831no—
886#397—831no—
887#397C2×D8311yescharacteristic, complemented
888#397C2×D8311yescharacteristic, complemented
889#396—831no—
890#396—831no—
891#396—831no—
892#394—831no—
893#394—831no—
894#394—831no—
895#394—831no—
896#394—831no—
897#394—831no—
898#394—831no—
899#394—831no—
900#394—831no—
901#394C2×D8311yescharacteristic, complemented
902#393—831no—
903#393—831no—
904#392—831no—
905#392—831no—
906#391—831no—
907#391—831no—
908#390—831no—
909#390—831no—
910#390—831no—
911#389—831no—
912#389—831no—
913#389—831no—
914#388—831no—
915#388—831no—
916#388—831no—
917#388—831no—
918#388—831no—
919#388—831no—
920#388—831no—
921#388—831no—
922#388—831no—
923#388—831no—
924#388—831no—
925#388—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, complemented
935#387—831no—
936#387—831no—
937#387—831no—
938#387—831no—
939#387—831no—
940#387—831no—
941#387—831no—
942#387—831no—
943#387C2×D8311yescharacteristic, complemented
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#386—831no—
960#386—831no—
961#386C2×D8311yescharacteristic
962#386C2×D8311yescharacteristic
963#386C2×D8311yescharacteristic, complemented
964#386C2×D8311yescharacteristic, complemented
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#385C2×D8311yescharacteristic, complemented
976#383—831no—
977#383—831no—
978#382—831no—
979#382—831no—
980#381—831no—
981#381C2×D8311yescharacteristic, complemented
982#380—831no—
983#380—831no—
984#380—831no—
985#380—831no—
986#380—831no—
987#379—831no—
988#379—831no—
989#379—831no—
990#379—831no—
991C4×C22⋊C4—831no—
992C4×C22⋊C4—831no—
993C4×C22⋊C4—831no—
994C4×C22⋊C4—831no—
995C4×C22⋊C4—831no—
996C4×C22⋊C4—831no—
997C4×C22⋊C4—831no—
998C4×C22⋊C4—831no—
999C4×C22⋊C4—831no—
1000C4×C22⋊C4—831no—
1001C4×C22⋊C4—831no—
1002C2×#95—831no—
1003C2×#95—831no—
1004C2×#95—831no—
1005C2×#95C2×D8311yescharacteristic, complemented
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—1664no—
1018C22×D4C22×D8311yescharacteristic
1019C22×D4C22×D8311yescharacteristic
1020C22×D4C22×D8311yescharacteristic
1021C23×C4—3322no—
1022C23×C4—3322no—
1023C23×C4—831no—
1024C23×C4—831no—
1025C23×C4—831no—
1026C23×C4—831no—
1027C23×C4—831no—
1028C23×C4—831no—
1029C23×C4—831no—
1030C23×C4—831no—
1031C23×C4—831no—
1032C23×C4—831no—
1033C23×C4—1664no—
1034C23×C4C22×D8311yescharacteristic
1035C23×C4C22×D8311yescharacteristic
1036C23×C4C22×D8311yescharacteristic
1037C23×C4C22×D8311yescharacteristic
1038#126—3322no—
1039#124—3322no—
1040#123—3322no—
1041#123—3322no—
1042#123—3322no—
1043C22⋊Q8—3322no—
1044C22⋊Q8—1664no—
1045#121—42no—
1046#121—3322no—
1047#120—1664no—
1048#120—1664no—
1049C4×D4—42no—
1050C4×D4—3322no—
1051C4×D4—1664no—
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⋊C4C22×D8311yescharacteristic
1071C2×C4⋊C4C22×D8311yescharacteristic
1072C2×C4⋊C4C22×D8311yescharacteristic
1073C2×C4⋊C4C22×D8311yescharacteristic
1074C2×C22⋊C4—3322no—
1075C2×C22⋊C4—3322no—
1076C2×C22⋊C4—831no—
1077C2×C22⋊C4—831no—
1078C2×C22⋊C4—831no—
1079C2×C22⋊C4—831no—
1080C2×C22⋊C4—831no—
1081C2×C22⋊C4—831no—
1082C2×C22⋊C4—831no—
1083C2×C22⋊C4—831no—
1084C2×C22⋊C4—831no—
1085C2×C22⋊C4—831no—
1086C2×C22⋊C4—831no—
1087C2×C22⋊C4—831no—
1088C2×C22⋊C4—831no—
1089C2×C22⋊C4—831no—
1090C2×C22⋊C4—831no—
1091C2×C22⋊C4—831no—
1092C2×C22⋊C4—831no—
1093C2×C22⋊C4—831no—
1094C2×C22⋊C4—831no—
1095C2×C22⋊C4—831no—
1096C2×C22⋊C4—831no—
1097C2×C22⋊C4—831no—
1098C2×C22⋊C4—831no—
1099C2×C22⋊C4—831no—
1100C2×C22⋊C4—831no—
1101C2×C22⋊C4—831no—
1102C2×C22⋊C4—831no—
1103C2×C22⋊C4—831no—
1104C2×C22⋊C4—831no—
1105C2×C22⋊C4—831no—
1106C2×C22⋊C4—831no—
1107C2×C22⋊C4—831no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—831no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—1664no—
1118C2×C22⋊C4—1664no—
1119C2×C22⋊C4—1664no—
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×C42—3322no—
1132C2×C42—3322no—
1133C2×C42—831no—
1134C2×C42—831no—
1135C2×C42—831no—
1136C2×C42—831no—
1137C2×C42—831no—
1138C2×C42—831no—
1139C2×C42—831no—
1140C2×C42—831no—
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#95—831no—
1175#95—831no—
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—1662no—
1199C24—1662no—
1200C24—1662no—
1201C24—1662no—
1202C24—1662no—
1203C24—1662no—
1204C24—1662no—
1205C24C23×D8311yescharacteristic
1206C24C23×D8311yescharacteristic
1207C24C23×D8311yescharacteristic
1208C2×Q8—3321no—
1209C2×Q8—3321no—
1210C2×Q8—1662no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—3321no—
1221C2×D4—3321no—
1222C2×D4—33216no—
1223C2×D4—3321no—
1224C2×D4—3321no—
1225C2×D4—3321no—
1226C2×D4—3321no—
1227C2×D4—3321no—
1228C2×D4—3321no—
1229C2×D4—1662no—
1230C2×D4—1662no—
1231C2×D4—1662no—
1232C2×D4—1662no—
1233C2×D4—1662no—
1234C2×D4—1662no—
1235C2×D4—1662no—
1236C2×D4—1662no—
1237C2×D4—1662no—
1238C2×D4—1662no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
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—33216no—
1264C22×C4—3321no—
1265C22×C4—834no—
1266C22×C4—831no—
1267C22×C4—831no—
1268C22×C4—831no—
1269C22×C4—831no—
1270C22×C4—831no—
1271C22×C4—831no—
1272C22×C4—831no—
1273C22×C4—831no—
1274C22×C4—831no—
1275C22×C4—831no—
1276C22×C4—831no—
1277C22×C4—831no—
1278C22×C4—831no—
1279C22×C4—1662no—
1280C22×C4—1662no—
1281C22×C4—1662no—
1282C22×C4—1662no—
1283C22×C4—1662no—
1284C22×C4—1662no—
1285C22×C4—1662no—
1286C22×C4—1662no—
1287C22×C4—1662no—
1288C22×C4—1662no—
1289C22×C4—1662no—
1290C22×C4—1662no—
1291C22×C4—1662no—
1292C22×C4—1662no—
1293C22×C4—1662no—
1294C22×C4—1662no—
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—3321no—
1312C4⋊C4—3321no—
1313C4⋊C4—3321no—
1314C4⋊C4—3321no—
1315C4⋊C4—3321no—
1316C4⋊C4—3321no—
1317C4⋊C4—3321no—
1318C4⋊C4—3321no—
1319C4⋊C4—3321no—
1320C4⋊C4—3321no—
1321C4⋊C4—3321no—
1322C4⋊C4—3321no—
1323C4⋊C4—3321no—
1324C4⋊C4—3321no—
1325C4⋊C4—1662no—
1326C4⋊C4—1662no—
1327C4⋊C4—1662no—
1328C4⋊C4—1662no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
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—3321no—
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—834no—
1358C22⋊C4—1662no—
1359C22⋊C4—1662no—
1360C22⋊C4—1662no—
1361C22⋊C4—1662no—
1362C22⋊C4—1662no—
1363C22⋊C4—1662no—
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—
1378C22⋊C4—1662no—
1379C22⋊C4—1662no—
1380C22⋊C4—1662no—
1381C42—41no—
1382C42—3321no—
1383C42—3321no—
1384C42—3321no—
1385C42—3321no—
1386C42—3321no—
1387C42—3321no—
1388C42—3321no—
1389C42—1662no—
1390C42—1662no—
1391C42—1662no—
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—3324no—
1417C23—3324no—
1418C23—832no—
1419C23—832no—
1420C23—832no—
1421C23—832no—
1422C23—6642no—
1423C23—6642no—
1424C23—6642no—
1425C23—6642no—
1426C23—1668no—
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—1668no—
1441C23—1661no—
1442C23—1661no—
1443C23—1661no—
1444C23—1661no—
1445C23#41×D8312yes—
1446C23#1458183712yes—
1447C23#1458183812yes—
1448C23C24×D8311yescharacteristic
1449Q8—6642no—
1450D4—44no—
1451D4—44no—
1452D4—82no—
1453D4—3324no—
1454D4—3324no—
1455D4—3324no—
1456D4—3324no—
1457D4—3324no—
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—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—82no—
1497C2×C4—3324no—
1498C2×C4—3324no—
1499C2×C4—3324no—
1500C2×C4—3324no—
1501C2×C4—3324no—
1502C2×C4—3324no—
1503C2×C4—3324no—
1504C2×C4—832no—
1505C2×C4—832no—
1506C2×C4—832no—
1507C2×C4—6642no—
1508C2×C4—6642no—
1509C2×C4—1661no—
1510C2×C4—1661no—
1511C2×C4—1661no—
1512C2×C4—1661no—
1513C2×C4—1661no—
1514C2×C4—1661no—
1515C2×C4—1661no—
1516C2×C4—1661no—
1517C2×C4—1661no—
1518C2×C4—1661no—
1519C2×C4—1661no—
1520C2×C4—1661no—
1521C2×C4—1661no—
1522C2×C4—1661no—
1523C2×C4—1661no—
1524C2×C4—1661no—
1525C2×C4—1661no—
1526C2×C4—1661no—
1527C2×C4—1661no—
1528C2×C4—1661no—
1529C2×C4—1661no—
1530C2×C4—1661no—
1531C2×C4—1661no—
1532C2×C4—1661no—
1533C2×C4—1661no—
1534C2×C4—1661no—
1535C2×C4—1661no—
1536C2×C4—1661no—
1537C2×C4—1661no—
1538C2×C4—1661no—
1539C2×C4—1668no—
1540C2×C4—1661no—
1541C2×C4—1661no—
1542C2×C4—1661no—
1543C2×C4—1661no—
1544C2×C4—1661no—
1545C2×C4—1661no—
1546C2×C4#41×D8312yes—
1547C2×C4#41×D8312yes—
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—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—33216no—
1569C22—3321no—
1570C22—3321no—
1571C22—3321no—
1572C22—3321no—
1573C22—3321no—
1574C22—3321no—
1575C22—3321no—
1576C22—3321no—
1577C22—3321no—
1578C22—3321no—
1579C22—3321no—
1580C22—834no—
1581C22—6648no—
1582C22—1662no—
1583C22—1662no—
1584C22—1662no—
1585C22—1662no—
1586C22—1662no—
1587C22—1662no—
1588C22—1662no—
1589C22—1662no—
1590C22—1662no—
1591C22#1912828714yes—
1592C22C2×#41×D8311yescharacteristic
1593C22C2×#41×D8311yescharacteristic
1594C22C2×#41×D8311yescharacteristic
1595C22H(5,𝔽2)×D8311yescharacteristic
1596C22C2×#1458183711yescharacteristic
1597C22C2×#1458183811yescharacteristic
1598C22#1912853611yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—3321no—
1612C4—3321no—
1613C4—3321no—
1614C4—3321no—
1615C4—3321no—
1616C4—3321no—
1617C4—3321no—
1618C4—3321no—
1619C4—3321no—
1620C4—3321no—
1621C4—1662no—
1622C4—1662no—
1623C4—1662no—
1624C2—24no—
1625C2—81no—
1626C2—81no—
1627C2—3322no—
1628C2—6641no—
1629C2—1664no—
1630C2#529×D8311yescharacteristic
1631C2C2×#1912828711yescharacteristic
1632C2#2492087411yescharacteristic
1633C2#2492114511yescharacteristic
1634C2#2492119411yescharacteristic
1635C2#2492139611yescharacteristic
1636C2#2492149111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2444C2
prime radical#24910834C2
hypercenter#2444D83
hypocenterC83#34998
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
1. #24915789C2semidirect
2. #24915788C2semidirect
3. #24915776C2semidirect
4. #24915760C2semidirect
5. #24913533C2semidirect
6. #24913465C2semidirect
7. #24913458C2semidirect
8. #24913448C2semidirect
9. #24912127C2semidirect
10. #24912118C2semidirect
11. #24912023C2semidirect
12. #24912016C2semidirect
13. #24911959C2semidirect
14. #24911791C2semidirect
15. #24911702C2semidirect
16. #24911590C2semidirect
17. #24911519C2semidirect
18. #24911397C2semidirect
19. #24911127C2semidirect
20. #24911008C2semidirect
21. #24910862C2semidirect
23. #24910789C2semidirect
24. #24910192C2semidirect
25. #24910119C2semidirect
26. #24910092C2semidirect
27. #24910057C2semidirect
28. C4×#14581760C2semidirect
29. #386×D83C2semidirect
30. C2×#19127548C2semidirect
31. C83×#2444C2semidirect
34. C2×#14581785C22semidirect
35. C2×#14581778C22semidirect
38. C2×#14581773C22semidirect
40. C2×#14581769C22semidirect
45. C2×C4×C22⋊D83C22semidirect
51. C22×C4×Dic83C22semidirect
52. C22×C4×Dic83C22semidirect
53. C83⋊#401C22semidirect
54. #19127643C22semidirect
55. #19127643C22semidirect
56. #19127642C22semidirect
57. #19127638C22semidirect
58. #19127631C22semidirect
59. #19127630C22semidirect
60. #19127630C22semidirect
61. #19127630C22semidirect
62. #19127629C22semidirect
63. #19127628C22semidirect
64. #19127626C22semidirect
65. #19127623C22semidirect
66. #19127623C22semidirect
67. #19127623C22semidirect
73. #19127617C22semidirect
75. #19127616C22semidirect
76. #19127616C22semidirect
77. #19127614C22semidirect
78. #19127613C22semidirect
81. #19127605C22semidirect
82. #19127605C22semidirect
83. #19127604C22semidirect
84. #19127604C22semidirect
85. #19127601C22semidirect
86. #19127599C22semidirect
87. #19127597C22semidirect
88. #19127597C22semidirect
89. #19127595C22semidirect
90. #19127594C22semidirect
91. #19127594C22semidirect
92. #19127594C22semidirect
93. #19127593C22semidirect
94. #19127593C22semidirect
95. #19127592C22semidirect
96. #19127591C22semidirect
97. #19127591C22semidirect
98. #19127590C22semidirect
99. #19127590C22semidirect
100. #19127590C22semidirect
101. #19127590C22semidirect
102. #19127589C22semidirect
103. #19127589C22semidirect
104. #19127589C22semidirect
105. #19127589C22semidirect
106. #19127589C22semidirect
107. #19127589C22semidirect
108. #19127589C22semidirect
109. #19127588C22semidirect
110. #19127588C22semidirect
111. #19127588C22semidirect
112. #19127587C22semidirect
113. #19127587C22semidirect
114. #19127586C22semidirect
115. #19127584C22semidirect
116. #19127583C22semidirect
119. #19127581C22semidirect
123. #19127580C22semidirect
133. #19127577C22semidirect
134. #19127576C22semidirect
139. #19127574C22semidirect
140. #19127573C22semidirect
143. #19127572C22semidirect
144. #19127568C22semidirect
145. #19127568C22semidirect
146. #19127565C22semidirect
147. #19127565C22semidirect
148. #19127562C22semidirect
149. #19127561C22semidirect
150. #19127561C22semidirect
159. C4×(C2×D83)⋊C4C22semidirect
160. C4×C22⋊Dic83C22semidirect
165. #19127548C22semidirect
166. #19127548C22semidirect
167. #19127548C22semidirect
168. #19127548C22semidirect
169. C2×C83⋊#95C22semidirect
173. C2×C4×D4×C83C22semidirect
174. #400×C83C22semidirect
175. #397×C83C22semidirect
176. #397×C83C22semidirect
177. #394×C83C22semidirect
178. #388×C83C22semidirect
179. #387×C83C22semidirect
182. #386×C83C22semidirect
183. #386×C83C22semidirect
184. #385×C83C22semidirect
185. #381×C83C22semidirect
186. C2×#95×C83C22semidirect
837. #2444D83semidirect
850. C83#34998semidirect
866. C2×C4×D4C2×D83semidirect
878. #400C2×D83semidirect
887. #397C2×D83semidirect
888. #397C2×D83semidirect
901. #394C2×D83semidirect
934. #388C2×D83semidirect
943. #387C2×D83semidirect
963. #386C2×D83semidirect
964. #386C2×D83semidirect
975. #385C2×D83semidirect
981. #381C2×D83semidirect
1005. C2×#95C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157892
#249157882
#249157762
#249157602
#249135332
#249134652
#249134582
#249134482
#249121272
#249121182
#249120232
#249120162
#249119592
#249117912
#249117022
#249115902
#249115192
#249113972
#249111272
#249110082
#249108622
#249108342
#249107892
#249101922
#249101192
#249100922
#249100572
C4×#145817602
#386×D832
C2×#191275482
C83×#24442
#3499883