Finite Group Databasebeta

← #35568948

Subgroups — #35568948

Order 21248.

2844 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128338C211yesmaximal, characteristic
2#24910632C211yesmaximal, characteristic, complemented
3#24910615C211yesmaximal, characteristic, complemented
4#24910614C211yesmaximal, characteristic, complemented
5#24910605C211yesmaximal, characteristic, complemented
6#24910544C211yesmaximal, characteristic, complemented
7#24910474C211yesmaximal, characteristic, complemented
8#24910453C211yesmaximal, characteristic, complemented
9#24910443C211yesmaximal, characteristic, complemented
10#24910386C211yesmaximal, characteristic, complemented
11#24910368C211yesmaximal, characteristic, complemented
12#24910308C211yesmaximal, characteristic, complemented
13#24910306C211yesmaximal, characteristic, complemented
14#24910288C211yesmaximal, characteristic, complemented
15C22⋊C4×C22⋊D83C211yesmaximal, characteristic, complemented
16#24910274C211yesmaximal, characteristic, complemented
17#24910251C211yesmaximal, characteristic, complemented
18#24910191C211yesmaximal, characteristic, complemented
19#24910164C211yesmaximal, characteristic, complemented
20#24910161C211yesmaximal, characteristic, complemented
21#24910159C211yesmaximal, characteristic, complemented
22#24910134C211yesmaximal, characteristic, complemented
23#24910117C211yesmaximal, characteristic, complemented
24#24910091C211yesmaximal, characteristic, complemented
25#24910089C211yesmaximal, characteristic, complemented
26#24910074C211yesmaximal, characteristic, complemented
27#24910050C211yesmaximal, characteristic, complemented
28#120×Dic83C211yesmaximal, characteristic, complemented
29C2×#19127578C211yesmaximal, characteristic, complemented
30C2×#19127573C211yesmaximal, characteristic, complemented
31C83×#2358C211yesmaximal, characteristic, complemented
32C22×#13050589C2211yescharacteristic
33C23×C22⋊D83C2211yescharacteristic
34C24×Dic83C2211yescharacteristic
35#19128338C4116yescomplemented
36C2×#14581778C2211yescharacteristic
37C2×#14581776C2211yescharacteristic
38C2×#14581774C2211yescharacteristic
39C2×#14581769C2211yescharacteristic
40C2×#14581764C2211yescharacteristic
41C2×#14581764C2211yescharacteristic
42C2×#14581763C2211yescharacteristic
43C2×#14581760C2211yescharacteristic
44C2×D4×Dic83C2211yescharacteristic
45C2×D4×Dic83C2211yescharacteristic
46C2×D4×Dic83C2211yescharacteristic, complemented
47C2×D4×Dic83C2211yescharacteristic, complemented
48C2×C4×C22⋊D83C2211yescharacteristic
49C2×C4×C22⋊D83C2211yescharacteristic
50C2×(C22⋊D83)⋊C4C2211yescharacteristic
51C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
52C2×#14581749C2211yescharacteristic, complemented
53C2×#14581748C2211yescharacteristic, complemented
54C22×Dic83⋊C4C2211yescharacteristic, complemented
55C22×Dic83⋊C4C2211yescharacteristic, complemented
56C22×C22⋊Dic83C2211yescharacteristic
57C22×(C2×D83)⋊C4C2211yescharacteristic
58C22×(C2×D83)⋊C4C2211yescharacteristic
59C2×C22⋊C4×D83C2211yescharacteristic
60C2×C22⋊C4×D83C2211yescharacteristic
61#19127607C2211yescharacteristic, complemented
62#19127606C2211yescharacteristic, complemented
63#19127605C2211yescharacteristic, complemented
64#19127605C2211yescharacteristic, complemented
65#19127601C2211yescharacteristic
66#19127601C2211yescharacteristic
67#19127601C2211yescharacteristic, complemented
68#19127601C2211yescharacteristic, complemented
69#19127601C2211yescharacteristic, complemented
70#19127599C2211yescharacteristic, complemented
71#19127599C2211yescharacteristic, complemented
72#19127598C2211yescharacteristic, complemented
73#19127597C2211yescharacteristic, complemented
74#19127595C2211yescharacteristic, complemented
75#19127595C2211yescharacteristic, complemented
76#19127595C2211yescharacteristic, complemented
77#19127593C2211yescharacteristic, complemented
78#19127592C2211yescharacteristic, complemented
79#19127592C2211yescharacteristic, complemented
80#19127592C2211yescharacteristic, complemented
81#19127592C2211yescharacteristic, complemented
82#19127591C2211yescharacteristic, complemented
83#19127591C2211yescharacteristic, complemented
84#19127590C2211yescharacteristic, complemented
85#19127590C2211yescharacteristic, complemented
86#19127590C2211yescharacteristic, complemented
87#19127589C2211yescharacteristic, complemented
88#19127589C2211yescharacteristic, complemented
89#19127589C2211yescharacteristic, complemented
90#19127588C2211yescharacteristic, complemented
91#19127586C2211yescharacteristic, complemented
92#19127586C2211yescharacteristic, complemented
93#19127585C2211yescharacteristic, complemented
94#19127585C2211yescharacteristic, complemented
95#19127584C2211yescharacteristic, complemented
96#19127584C2211yescharacteristic, complemented
97#19127583C2211yescharacteristic, complemented
98#19127582C2211yescharacteristic, complemented
99#19127582C2211yescharacteristic, complemented
100#19127581C2211yescharacteristic
101#19127581C2211yescharacteristic, complemented
102#19127581C2211yescharacteristic, complemented
103#19127580C2211yescharacteristic
104#19127580C2211yescharacteristic
105#19127580C2211yescharacteristic, complemented
106#19127580C2211yescharacteristic, complemented
107#19127578C2211yescharacteristic
108#19127578C2211yescharacteristic
109#19127578C2211yescharacteristic
110#19127578C2211yescharacteristic
111#19127578C2211yescharacteristic
112#19127578C2211yescharacteristic
113#19127578C2211yescharacteristic
114#19127578C2211yescharacteristic
115#19127578C2211yescharacteristic, complemented
116#19127577C2211yescharacteristic
117#19127577C2211yescharacteristic
118#19127577C2211yescharacteristic, complemented
119#19127576C2211yescharacteristic
120#19127576C2211yescharacteristic, complemented
121#19127576C2211yescharacteristic, complemented
122#19127575C2211yescharacteristic, complemented
123#19127575C2211yescharacteristic, complemented
124#19127575C2211yescharacteristic, complemented
125#19127574C2211yescharacteristic
126#19127574C2211yescharacteristic
127#19127574C2211yescharacteristic, complemented
128#19127573C2211yescharacteristic
129#19127573C2211yescharacteristic
130#19127573C2211yescharacteristic
131#19127573C2211yescharacteristic
132#19127573C2211yescharacteristic, complemented
133#19127573C2211yescharacteristic, complemented
134#19127573C2211yescharacteristic, complemented
135#19127573C2211yescharacteristic, complemented
136#19127573C2211yescharacteristic, complemented
137#19127572C2211yescharacteristic, complemented
138#19127572C2211yescharacteristic, complemented
139#19127568C2211yescharacteristic, complemented
140#19127566C2211yescharacteristic, complemented
141#19127565C2211yescharacteristic, complemented
142#19127563C2211yescharacteristic, complemented
143#19127562C2211yescharacteristic, complemented
144#19127562C2211yescharacteristic, complemented
145#19127560C2211yescharacteristic, complemented
146#19127560C2211yescharacteristic, complemented
147#19127560C2211yescharacteristic, complemented
148#19127559C2211yescharacteristic
149#19127559C2211yescharacteristic, complemented
150#19127559C2211yescharacteristic, complemented
151#19127559C2211yescharacteristic, complemented
152#19127558C2211yescharacteristic, complemented
153#19127558C2211yescharacteristic, complemented
154#19127557C2211yescharacteristic
155#19127556C2211yescharacteristic
156C4⋊C4×Dic83C2211yescharacteristic, complemented
157C4×Dic83⋊C4C2211yescharacteristic, complemented
158#19127552C2211yescharacteristic, complemented
159C22⋊C4×Dic83C2211yescharacteristic
160C22⋊C4×Dic83C2211yescharacteristic
161C22⋊C4×Dic83C2211yescharacteristic, complemented
162C22⋊C4×Dic83C2211yescharacteristic, complemented
163C22⋊C4×Dic83C2211yescharacteristic, complemented
164C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
165C4×C22⋊Dic83C2211yescharacteristic
166C4×C22⋊Dic83C2211yescharacteristic
167#19127548C2211yescharacteristic, complemented
168C2×C83⋊#95C2211yescharacteristic
169C2×C83⋊#95C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic, complemented
171C2×C83⋊#95C2211yescharacteristic, complemented
172C2×C83⋊#95C2211yescharacteristic, complemented
173C2×#120×C83C2211yescharacteristic
174C2×C4×D4×C83C2211yescharacteristic
175C2×C4×D4×C83C2211yescharacteristic, complemented
176C22×C22⋊C4×C83C2211yescharacteristic
177C22×C22⋊C4×C83C2211yescharacteristic
178#390×C83C2211yescharacteristic, complemented
179#388×C83C2211yescharacteristic, complemented
180#388×C83C2211yescharacteristic, complemented
181#386×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic, complemented
183#386×C83C2211yescharacteristic, complemented
184#385×C83C2211yescharacteristic
185#385×C83C2211yescharacteristic, complemented
186C4×C22⋊C4×C83C2211yescharacteristic
187C4×C22⋊C4×C83C2211yescharacteristic, complemented
188C24×D83C2311yescharacteristic
189C2×#13050589—42no—
190C2×#13050589—42no—
191C2×#13050589C2×C418yescomplemented
192C22×Dic166C2311yescharacteristic
193C22×C22⋊D83—42no—
194C22×C22⋊D83—42no—
195C22×C22⋊D83C2×C418yescomplemented
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C23×Dic83—42no—
203C23×Dic83—42no—
204C23×Dic83—42no—
205C23×Dic83C2311yescharacteristic
206C23×Dic83C2311yescharacteristic
207C23×Dic83C2311yescharacteristic
208C23×Dic83C2311yescharacteristic
209C23×Dic83C2311yescharacteristic
210C23×Dic83C2311yescharacteristic
211C23×Dic83C2311yescharacteristic
212C23×Dic83C2311yescharacteristic
213C23×Dic83C2311yescharacteristic
214C23×Dic83C2311yescharacteristic
215C23×Dic83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220#14581778C2×C418yescomplemented
221#14581776C2×C418yescomplemented
222#14581774C2×C418yescomplemented
223#14581769C2×C418yescomplemented
224#14581764C2×C418yescomplemented
225#14581764C2×C418yescomplemented
226#14581763C2×C418yescomplemented
227#14581760C2×C418yescomplemented
228D4×Dic83—42no—
229D4×Dic83—42no—
230D4×Dic83—42no—
231D4×Dic83C2×C418yescomplemented
232C4×C22⋊D83—42no—
233C4×C22⋊D83—42no—
234(C22⋊D83)⋊C4—42no—
235(C22⋊D83)⋊C4C2×C418yescomplemented
236#14581749—42no—
237#14581748—42no—
238C2×C4⋊Dic83C2311yescharacteristic
239C2×C4⋊Dic83C2311yescharacteristic
240C2×C4⋊Dic83C2311yescharacteristic
241C2×C4⋊Dic83C2311yescharacteristic
242C2×C4⋊Dic83C2311yescharacteristic
243C2×Dic83⋊C4—42no—
244C2×Dic83⋊C4—42no—
245C2×Dic83⋊C4C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×Dic83⋊C4C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C2×Dic83⋊C4C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×Dic83⋊C4C2311yescharacteristic
256C2×Dic83⋊C4C2311yescharacteristic
257C2×Dic83⋊C4C2311yescharacteristic
258C2×Dic83⋊C4C2311yescharacteristic
259C2×Dic83⋊C4C2311yescharacteristic
260C2×Dic83⋊C4C2311yescharacteristic
261C2×C22⋊Dic83C2×C418yescomplemented
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×C22⋊Dic83C2311yescharacteristic
276C2×(C2×D83)⋊C4—42no—
277C2×(C2×D83)⋊C4—42no—
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
296C22⋊C4×D83—42no—
297C22⋊C4×D83C2×C418yescomplemented
298C2×C4×Dic83C2311yescharacteristic
299C2×C4×Dic83C2311yescharacteristic
300C2×C4×Dic83C2311yescharacteristic
301C2×C4×Dic83C2311yescharacteristic
302C2×C4×Dic83C2311yescharacteristic
303C2×C4×Dic83C2311yescharacteristic
304C2×C4×Dic83C2311yescharacteristic
305C2×C4×Dic83C2311yescharacteristic
306C2×C4×Dic83C2311yescharacteristic
307C2×C4×Dic83C2311yescharacteristic
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
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C83⋊#95C2311yescharacteristic
341C83⋊#95C2311yescharacteristic
342C25×C83C2311yescharacteristic
343C22×D4×C83C2311yescharacteristic
344C22×D4×C83C2311yescharacteristic
345C22×D4×C83C2311yescharacteristic
346C23×C4×C83C2311yescharacteristic
347C23×C4×C83C2311yescharacteristic
348C23×C4×C83C2311yescharacteristic
349C23×C4×C83C2311yescharacteristic
350C23×C4×C83C2311yescharacteristic
351#120×C83C2×C418yescomplemented
352C4×D4×C83—42no—
353C4×D4×C83—42no—
354C2×C4⋊C4×C83C2311yescharacteristic
355C2×C4⋊C4×C83C2311yescharacteristic
356C2×C4⋊C4×C83C2311yescharacteristic
357C2×C22⋊C4×C83—42no—
358C2×C22⋊C4×C83—42no—
359C2×C22⋊C4×C83C2311yescharacteristic
360C2×C22⋊C4×C83C2311yescharacteristic
361C2×C22⋊C4×C83C2311yescharacteristic
362C2×C22⋊C4×C83C2311yescharacteristic
363C2×C22⋊C4×C83C2311yescharacteristic
364C2×C22⋊C4×C83C2311yescharacteristic
365C2×C22⋊C4×C83C2311yescharacteristic
366C2×C22⋊C4×C83C2311yescharacteristic
367C2×C22⋊C4×C83C2311yescharacteristic
368C2×C22⋊C4×C83C2311yescharacteristic
369C2×C22⋊C4×C83C2311yescharacteristic
370C2×C22⋊C4×C83C2311yescharacteristic
371C2×C22⋊C4×C83C2311yescharacteristic
372C2×C22⋊C4×C83C2311yescharacteristic
373C2×C42×C83C2311yescharacteristic
374C2×C42×C83C2311yescharacteristic
375C2×C42×C83C2311yescharacteristic
376#95×C83C2311yescharacteristic
377#95×C83C2311yescharacteristic
378#95×C83C2311yescharacteristic
379#95×C83C2311yescharacteristic
380#95×C83C2311yescharacteristic
381#95×C83C2311yescharacteristic
382C23×D83—22no—
383C23×D83—22no—
384C23×D83—41no—
385C23×D83—41no—
386C23×D83—41no—
387C23×D83—41no—
388C23×D83C22×C414yes—
389C23×D83C2411yescharacteristic
390C23×D83C2411yescharacteristic
391#13050589—416no—
392C2×Dic166—41no—
393C2×Dic166—41no—
394C2×Dic166C22×C414yescomplemented
395C2×C22⋊D83—22no—
396C2×C22⋊D83—22no—
397C2×C22⋊D83—22no—
398C2×C22⋊D83—22no—
399C2×C22⋊D83—41no—
400C2×C22⋊D83—41no—
401C2×C22⋊D83—41no—
402C2×C22⋊D83—41no—
403C2×C22⋊D83—41no—
404C2×C22⋊D83—41no—
405C2×C22⋊D83—41no—
406C2×C22⋊D83—41no—
407C2×C22⋊D83—416no—
408C2×C22⋊D83C22×C414yes—
409C2×C22⋊D83C22×C414yes—
410C2×C22⋊D83C22×C414yes—
411C2×C22⋊D83C22×C414yes—
412C2×C22⋊D83C22×C414yescomplemented
413C2×C22⋊D83C22×C414yescomplemented
414C22×Dic83—22no—
415C22×Dic83—22no—
416C22×Dic83—22no—
417C22×Dic83—22no—
418C22×Dic83—22no—
419C22×Dic83—22no—
420C22×Dic83—22no—
421C22×Dic83—22no—
422C22×Dic83—22no—
423C22×Dic83—22no—
424C22×Dic83—41no—
425C22×Dic83—41no—
426C22×Dic83—41no—
427C22×Dic83—41no—
428C22×Dic83—41no—
429C22×Dic83—41no—
430C22×Dic83—41no—
431C22×Dic83—41no—
432C22×Dic83—41no—
433C22×Dic83—41no—
434C22×Dic83—41no—
435C22×Dic83—41no—
436C22×Dic83—41no—
437C22×Dic83—41no—
438C22×Dic83—41no—
439C22×Dic83—41no—
440C22×Dic83—41no—
441C22×Dic83—41no—
442C22×Dic83—41no—
443C22×Dic83—416no—
444C22×Dic83C22×C414yes—
445C22×Dic83C22×C414yes—
446C22×Dic83C22×C414yes—
447C22×Dic83C22×C414yescomplemented
448C22×Dic83C2411yescharacteristic
449C22×Dic83C2411yescharacteristic
450C22×Dic83C2411yescharacteristic
451C22×Dic83C2411yescharacteristic
452C22×Dic83C2411yescharacteristic
453C22×Dic83C2411yescharacteristic
454C22×Dic83C2411yescharacteristic
455C22×Dic83C2411yescharacteristic
456C22×Dic83C2411yescharacteristic
457C22×Dic83C2411yescharacteristic
458C22×Dic83C2411yescharacteristic
459C22×Dic83C2411yescharacteristic
460C22×Dic83C2411yescharacteristic
461C22×Dic83C2411yescharacteristic
462C2×C4×D83—41no—
463C2×C4×D83—41no—
464C2×C4×D83—41no—
465C2×C4×D83—41no—
466C2×C4×D83—41no—
467C2×C4×D83—41no—
468C2×C4×D83—41no—
469C2×C4×D83—41no—
470C2×C4×D83—41no—
471C2×C4×D83—41no—
472C2×C4×D83C22×C414yescomplemented
473C2×C4×D83C22×C414yescomplemented
474C4⋊Dic83—41no—
475C4⋊Dic83—41no—
476C4⋊Dic83—41no—
477C4⋊Dic83C22×C414yescomplemented
478C4⋊Dic83C22×C414yescomplemented
479Dic83⋊C4—22no—
480Dic83⋊C4—22no—
481Dic83⋊C4—41no—
482Dic83⋊C4—41no—
483Dic83⋊C4—41no—
484Dic83⋊C4—41no—
485Dic83⋊C4—41no—
486Dic83⋊C4—41no—
487Dic83⋊C4—41no—
488Dic83⋊C4—41no—
489Dic83⋊C4—41no—
490Dic83⋊C4—41no—
491Dic83⋊C4—41no—
492Dic83⋊C4—41no—
493Dic83⋊C4C22×C414yescomplemented
494Dic83⋊C4C22×C414yescomplemented
495C22⋊Dic83—22no—
496C22⋊Dic83—22no—
497C22⋊Dic83—22no—
498C22⋊Dic83—22no—
499C22⋊Dic83—41no—
500C22⋊Dic83—41no—
501C22⋊Dic83—41no—
502C22⋊Dic83—41no—
503C22⋊Dic83—41no—
504C22⋊Dic83C22×C414yes—
505C22⋊Dic83C22×C414yes—
506C22⋊Dic83C22×C414yes—
507C22⋊Dic83C22×C414yes—
508C22⋊Dic83C22×C414yescomplemented
509(C2×D83)⋊C4—22no—
510(C2×D83)⋊C4—22no—
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)⋊C4C22×C414yescomplemented
524(C2×D83)⋊C4C22×C414yescomplemented
525(C2×D83)⋊C4C22×C414yescomplemented
526(C2×D83)⋊C4C22×C414yescomplemented
527C4×Dic83—22no—
528C4×Dic83—41no—
529C4×Dic83—41no—
530C4×Dic83—41no—
531C4×Dic83—41no—
532C4×Dic83—41no—
533C4×Dic83—41no—
534C4×Dic83—41no—
535C4×Dic83—41no—
536C4×Dic83C22×C414yescomplemented
537C24×C83—22no—
538C24×C83—22no—
539C24×C83—22no—
540C24×C83—22no—
541C24×C83—41no—
542C24×C83—41no—
543C24×C83C22×C414yes—
544C24×C83C2411yescharacteristic
545C24×C83C2411yescharacteristic
546C24×C83C2411yescharacteristic
547C24×C83C2411yescharacteristic
548C2×D4×C83—22no—
549C2×D4×C83—22no—
550C2×D4×C83—22no—
551C2×D4×C83—22no—
552C2×D4×C83—41no—
553C2×D4×C83—41no—
554C2×D4×C83C22×C414yes—
555C2×D4×C83C22×C414yes—
556C2×D4×C83C22×C414yes—
557C22×C4×C83—22no—
558C22×C4×C83—22no—
559C22×C4×C83—22no—
560C22×C4×C83—22no—
561C22×C4×C83—41no—
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—
572C22×C4×C83C2411yescharacteristic
573C22×C4×C83C2411yescharacteristic
574C22×C4×C83C2411yescharacteristic
575C22×C4×C83C2411yescharacteristic
576C22×C4×C83C2411yescharacteristic
577C22×C4×C83C2411yescharacteristic
578C22×C4×C83C2411yescharacteristic
579C22×C4×C83C2411yescharacteristic
580C22×C4×C83C2411yescharacteristic
581C22×C4×C83C2411yescharacteristic
582C22×C4×C83C2411yescharacteristic
583C4⋊C4×C83—41no—
584C4⋊C4×C83—41no—
585C4⋊C4×C83—41no—
586C22⋊C4×C83—22no—
587C22⋊C4×C83—22no—
588C22⋊C4×C83—22no—
589C22⋊C4×C83—22no—
590C22⋊C4×C83—41no—
591C22⋊C4×C83—41no—
592C22⋊C4×C83—41no—
593C22⋊C4×C83—41no—
594C22⋊C4×C83—41no—
595C22⋊C4×C83—41no—
596C22⋊C4×C83—41no—
597C22⋊C4×C83C22×C414yes—
598C22⋊C4×C83C22×C414yes—
599C22⋊C4×C83C22×C414yes—
600C42×C83—41no—
601C42×C83—41no—
602C42×C83—41no—
603C23×C83—21no—
604C23×C83—21no—
605C23×C83—21no—
606C23×C83—21no—
607C23×C83—21no—
608C23×C83—21no—
609C23×C83—21no—
610C23×C83—21no—
611C23×C83—28no—
612C23×C83—28no—
613C23×C83—21no—
614C23×C83—21no—
615C23×C83—21no—
616C23×C83—21no—
617C23×C83—21no—
618C23×C83—21no—
619C23×C83—21no—
620C23×C83—21no—
621C23×C83—21no—
622C23×C83—21no—
623C23×C83—21no—
624C23×C83—21no—
625C23×C83—44no—
626C23×C83—44no—
627C23×C83—44no—
628C23×C83—44no—
629C23×C83—44no—
630C23×C83C23×C412yes—
631C23×C83C23×C412yes—
632C23×C83C23×C412yes—
633C23×C83C23×C412yes—
634C23×C83H(5,𝔽2)12yes—
635C23×C83H(5,𝔽2)12yes—
636C23×C83H(5,𝔽2)12yes—
637C23×C832−1+412yes—
638C23×C83C2511yescharacteristic
639C22×D83—21no—
640C22×D83—21no—
641C22×D83—21no—
642C22×D83—21no—
643C22×D83—21no—
644C22×D83—21no—
645C22×D83—21no—
646C22×D83—21no—
647C22×D83—21no—
648C22×D83—21no—
649C22×D83—21no—
650C22×D83—21no—
651C22×D83—28no—
652C22×D83—44no—
653C22×D83—44no—
654C22×D83—82no—
655C22×D83—82no—
656C22×D83—82no—
657C22×D83—82no—
658C22×D83C23×C412yes—
659C22×D83C23×C412yes—
660D4×C83—28no—
661D4×C83—28no—
662D4×C83—44no—
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—21no—
670C2×C4×C83—21no—
671C2×C4×C83—21no—
672C2×C4×C83—21no—
673C2×C4×C83—21no—
674C2×C4×C83—21no—
675C2×C4×C83—21no—
676C2×C4×C83—21no—
677C2×C4×C83—21no—
678C2×C4×C83—21no—
679C2×C4×C83—21no—
680C2×C4×C83—21no—
681C2×C4×C83—21no—
682C2×C4×C83—21no—
683C2×C4×C83—21no—
684C2×C4×C83—21no—
685C2×C4×C83—21no—
686C2×C4×C83—21no—
687C2×C4×C83—21no—
688C2×C4×C83—21no—
689C2×C4×C83—21no—
690C2×C4×C83—21no—
691C2×C4×C83—21no—
692C2×C4×C83—21no—
693C2×C4×C83—82no—
694C2×C4×C83—82no—
695C2×C4×C83—82no—
696C2×C4×C83—82no—
697C2×C4×C83—82no—
698C2×C4×C83C23×C412yes—
699C2×C4×C83C23×C412yes—
700C2×C4×C83C23×C412yes—
701C22⋊D83—28no—
702C22⋊D83—28no—
703C22⋊D83—44no—
704C22⋊D83—44no—
705C22⋊D83—44no—
706C22⋊D83—44no—
707C2×Dic83—28no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—21no—
711C2×Dic83—21no—
712C2×Dic83—21no—
713C2×Dic83—21no—
714C2×Dic83—21no—
715C2×Dic83—21no—
716C2×Dic83—21no—
717C2×Dic83—21no—
718C2×Dic83—21no—
719C2×Dic83—21no—
720C2×Dic83—21no—
721C2×Dic83—21no—
722C2×Dic83—21no—
723C2×Dic83—21no—
724C2×Dic83—21no—
725C2×Dic83—21no—
726C2×Dic83—21no—
727C2×Dic83—21no—
728C2×Dic83—21no—
729C2×Dic83—21no—
730C2×Dic83—21no—
731C2×Dic83—21no—
732C2×Dic83—21no—
733C2×Dic83—21no—
734C2×Dic83—21no—
735C2×Dic83—21no—
736C2×Dic83—21no—
737C2×Dic83—21no—
738C2×Dic83—21no—
739C2×Dic83—21no—
740C2×Dic83—21no—
741C2×Dic83—21no—
742C2×Dic83—21no—
743C2×Dic83—44no—
744C2×Dic83—44no—
745C2×Dic83—44no—
746C2×Dic83—44no—
747C2×Dic83—44no—
748C2×Dic83—44no—
749C2×Dic83—44no—
750C2×Dic83—44no—
751C2×Dic83—44no—
752C2×Dic83—82no—
753C2×Dic83C23×C412yes—
754C2×Dic83C23×C412yes—
755C2×Dic83C23×C412yes—
756C2×Dic83C23×C412yes—
757C2×Dic83C23×C412yes—
758C2×Dic83C23×C412yes—
759C2×Dic83H(5,𝔽2)12yes—
760C4×D83—44no—
761C4×D83—44no—
762C4×D83—82no—
763C4×D83—82no—
764Dic166—44no—
765C22×C83—22no—
766C22×C83—22no—
767C22×C83—22no—
768C22×C83—22no—
769C22×C83—22no—
770C22×C83—22no—
771C22×C83—22no—
772C22×C83—22no—
773C22×C83—22no—
774C22×C83—22no—
775C22×C83—22no—
776C22×C83—22no—
777C22×C83—22no—
778C22×C83—22no—
779C22×C83—22no—
780C22×C83—22no—
781C22×C83—22no—
782C22×C83—22no—
783C22×C83—416no—
784C22×C83—41no—
785C22×C83—41no—
786C22×C83—41no—
787C22×C83—41no—
788C22×C83—41no—
789C22×C83—41no—
790C22×C83—41no—
791C22×C83—41no—
792C22×C83#51814yes—
793C22×C83#52014yes—
794C22×C83C24×C411yescharacteristic
795C22×C83C2×H(5,𝔽2)11yescharacteristic
796C22×C83C2×H(5,𝔽2)11yescharacteristic
797C22×C83C2×H(5,𝔽2)11yescharacteristic
798C22×C83C2×H(5,𝔽2)11yescharacteristic
799C22×C83C2×2−1+411yescharacteristic
800C22×C83#58511yescharacteristic
801C2×D83—22no—
802C2×D83—22no—
803C2×D83—22no—
804C2×D83—22no—
805C2×D83—22no—
806C2×D83—22no—
807C2×D83—41no—
808C2×D83—41no—
809C2×D83—41no—
810C2×D83—41no—
811C2×D83—41no—
812C2×D83—41no—
813C2×D83—41no—
814C2×D83—41no—
815C2×D83—88no—
816C4×C83—22no—
817C4×C83—22no—
818C4×C83—22no—
819C4×C83—41no—
820C4×C83—41no—
821C4×C83—41no—
822C4×C83—41no—
823C4×C83—41no—
824C4×C83—41no—
825C4×C83—41no—
826C4×C83—41no—
827Dic83—22no—
828Dic83—22no—
829Dic83—22no—
830Dic83—22no—
831Dic83—22no—
832Dic83—22no—
833Dic83—22no—
834Dic83—41no—
835Dic83—41no—
836Dic83—41no—
837Dic83—41no—
838Dic83—41no—
839Dic83—41no—
840Dic83—41no—
841#34456—831nomaximal, Sylow
842C2×C83—24no—
843C2×C83—24no—
844C2×C83—42no—
845C2×C83—42no—
846C2×C83C2×#51811yescharacteristic
847C2×C83C2×#52011yescharacteristic
848C2×C83C4×H(5,𝔽2)11yescharacteristic
849C2×C83#353211yescharacteristic
850C2×C83#353411yescharacteristic
851C2×C83#353511yescharacteristic
852C2×C83#353611yescharacteristic
853D83—42no—
854D83—42no—
855C2×#546—831no—
856#2379—831no—
857#2377—831no—
858#2377—831no—
859#2376—831no—
860#2368—831no—
861#2361—831no—
862#2359—831no—
863#2358—831no—
864#2358D8311yescharacteristic, complemented
865#2352—831no—
866#2349—831no—
867#2342—831no—
868#2342—831no—
869#2339—831no—
870D4×C22⋊C4—831no—
871#2337—831no—
872#2335—831no—
873#2329—831no—
874#2325—831no—
875#2325—831no—
876#2324—831no—
877#2322—831no—
878#2321—831no—
879#2318—831no—
880#2318—831no—
881#2315—831no—
882#2311—831no—
883C4×#120—831no—
884C2×#386—831no—
885C2×#385—831no—
886C83#3445611yescharacteristic, complemented, Sylow
887C22×#41—831no—
888C23×D4—831no—
889C24×C4—831no—
890#546—8316no—
891C2×#124—831no—
892C2×#123—831no—
893C2×#123—831no—
894C2×C22⋊Q8—831no—
895C2×#121—831no—
896C2×#121—831no—
897C2×#121—831no—
898C2×#120—831no—
899C2×#120C2×D8311yescharacteristic
900C2×C4×D4—831no—
901C2×C4×D4—831no—
902C2×C4×D4—831no—
903C2×C4×D4—831no—
904C2×C4×D4—831no—
905C2×C4×D4—831no—
906C2×C4×D4—831no—
907C2×C4×D4—831no—
908C2×C4×D4C2×D8311yescharacteristic
909C2×C4×D4C2×D8311yescharacteristic, complemented
910C2×#117—831no—
911C2×#117—831no—
912C22×C4⋊C4—831no—
913C22×C4⋊C4—831no—
914C22×C22⋊C4—831no—
915C22×C22⋊C4—831no—
916C22×C22⋊C4—831no—
917C22×C22⋊C4—831no—
918C22×C22⋊C4—831no—
919C22×C22⋊C4C2×D8311yescharacteristic
920C22×C22⋊C4C2×D8311yescharacteristic
921#391—831no—
922#391—831no—
923#391—831no—
924#391—831no—
925#390—831no—
926#390—831no—
927#390—831no—
928#390—831no—
929#390—831no—
930#390C2×D8311yescharacteristic, complemented
931#389—831no—
932#389—831no—
933#389—831no—
934#389—831no—
935#388—831no—
936#388—831no—
937#388—831no—
938#388—831no—
939#388—831no—
940#388—831no—
941#388—831no—
942#388—831no—
943#388—831no—
944#388—831no—
945#388—831no—
946#388—831no—
947#388—831no—
948#388—831no—
949#388—831no—
950#388—831no—
951#388C2×D8311yescharacteristic, complemented
952#388C2×D8311yescharacteristic, complemented
953#387—831no—
954#387—831no—
955#387—831no—
956#387—831no—
957#387—831no—
958#387—831no—
959#387—831no—
960#387—831no—
961#387—831no—
962#387—831no—
963#386—831no—
964#386—831no—
965#386—831no—
966#386—831no—
967#386—831no—
968#386—831no—
969#386—831no—
970#386—831no—
971#386—831no—
972#386—831no—
973#386—831no—
974#386—831no—
975#386—831no—
976#386—831no—
977#386—831no—
978#386—831no—
979#386—831no—
980#386—831no—
981#386—831no—
982#386C2×D8311yescharacteristic
983#386C2×D8311yescharacteristic, complemented
984#386C2×D8311yescharacteristic, complemented
985#385—831no—
986#385—831no—
987#385—831no—
988#385—831no—
989#385—831no—
990#385—831no—
991#385—831no—
992#385—831no—
993#385—831no—
994#385—831no—
995#385—831no—
996#385—831no—
997#385—831no—
998#385—831no—
999#385—831no—
1000#385—831no—
1001#385—831no—
1002#385—831no—
1003#385—831no—
1004#385—831no—
1005#385C2×D8311yescharacteristic
1006#385C2×D8311yescharacteristic, complemented
1007#383—831no—
1008#382—831no—
1009#382—831no—
1010#381—831no—
1011#381—831no—
1012#381—831no—
1013#380—831no—
1014#380—831no—
1015#380—831no—
1016#380—831no—
1017#380—831no—
1018#380—831no—
1019#380—831no—
1020#380—831no—
1021#380—831no—
1022#379—831no—
1023#379—831no—
1024C4×C4⋊C4—831no—
1025C4×C4⋊C4—831no—
1026C4×C4⋊C4—831no—
1027C4×C22⋊C4—831no—
1028C4×C22⋊C4—831no—
1029C4×C22⋊C4—831no—
1030C4×C22⋊C4—831no—
1031C4×C22⋊C4—831no—
1032C4×C22⋊C4—831no—
1033C4×C22⋊C4—831no—
1034C4×C22⋊C4—831no—
1035C4×C22⋊C4—831no—
1036C4×C22⋊C4C2×D8311yescharacteristic
1037C4×C22⋊C4C2×D8311yescharacteristic, complemented
1038C2×#95—831no—
1039C2×#95—831no—
1040C2×#95—831no—
1041C2×#95—831no—
1042C2×#95—831no—
1043C25—831no—
1044C25C22×D8311yescharacteristic
1045C2×#41—3322no—
1046C2×#41—3322no—
1047C2×#41—838no—
1048C22×Q8—831no—
1049C22×D4—3322no—
1050C22×D4—3322no—
1051C22×D4—838no—
1052C22×D4—831no—
1053C22×D4—831no—
1054C22×D4—831no—
1055C22×D4—831no—
1056C22×D4—831no—
1057C22×D4—831no—
1058C22×D4C22×D8311yescharacteristic
1059C22×D4C22×D8311yescharacteristic
1060C22×D4C22×D8311yescharacteristic
1061C23×C4—3322no—
1062C23×C4—3322no—
1063C23×C4—3322no—
1064C23×C4—831no—
1065C23×C4—831no—
1066C23×C4—831no—
1067C23×C4—831no—
1068C23×C4—831no—
1069C23×C4—831no—
1070C23×C4—831no—
1071C23×C4—831no—
1072C23×C4—831no—
1073C23×C4—831no—
1074C23×C4—831no—
1075C23×C4—831no—
1076C23×C4—831no—
1077C23×C4—831no—
1078C23×C4—831no—
1079C23×C4C22×D8311yescharacteristic
1080C23×C4C22×D8311yescharacteristic
1081C23×C4C22×D8311yescharacteristic
1082C23×C4C22×D8311yescharacteristic
1083C23×C4C22×D8311yescharacteristic
1084#124—838no—
1085#123—838no—
1086#123—838no—
1087C22⋊Q8—838no—
1088#121—838no—
1089#121—838no—
1090#121—838no—
1091#120—838no—
1092#120C4×D8318yescomplemented
1093C4×D4—42no—
1094C4×D4—42no—
1095C4×D4—3322no—
1096C4×D4—3322no—
1097C4×D4—3322no—
1098C4×D4—3322no—
1099C4×D4—3322no—
1100C4×D4—3322no—
1101C4×D4—838no—
1102C4×D4—838no—
1103#117—3322no—
1104#117—3322no—
1105C2×C4⋊C4—3322no—
1106C2×C4⋊C4—3322no—
1107C2×C4⋊C4—831no—
1108C2×C4⋊C4—831no—
1109C2×C4⋊C4—831no—
1110C2×C4⋊C4—831no—
1111C2×C4⋊C4—831no—
1112C2×C4⋊C4—831no—
1113C2×C4⋊C4—831no—
1114C2×C4⋊C4—831no—
1115C2×C4⋊C4—831no—
1116C2×C4⋊C4—831no—
1117C2×C4⋊C4—831no—
1118C2×C4⋊C4—831no—
1119C2×C4⋊C4—831no—
1120C2×C4⋊C4—831no—
1121C2×C4⋊C4—831no—
1122C2×C4⋊C4—831no—
1123C2×C4⋊C4—831no—
1124C2×C4⋊C4—831no—
1125C2×C4⋊C4—831no—
1126C2×C4⋊C4—831no—
1127C2×C4⋊C4—831no—
1128C2×C4⋊C4C22×D8311yescharacteristic
1129C2×C4⋊C4C22×D8311yescharacteristic
1130C2×C4⋊C4C22×D8311yescharacteristic
1131C2×C22⋊C4—42no—
1132C2×C22⋊C4—42no—
1133C2×C22⋊C4—3322no—
1134C2×C22⋊C4—3322no—
1135C2×C22⋊C4—3322no—
1136C2×C22⋊C4—831no—
1137C2×C22⋊C4—831no—
1138C2×C22⋊C4—831no—
1139C2×C22⋊C4—831no—
1140C2×C22⋊C4—831no—
1141C2×C22⋊C4—831no—
1142C2×C22⋊C4—831no—
1143C2×C22⋊C4—831no—
1144C2×C22⋊C4—831no—
1145C2×C22⋊C4—831no—
1146C2×C22⋊C4—831no—
1147C2×C22⋊C4—831no—
1148C2×C22⋊C4—831no—
1149C2×C22⋊C4—831no—
1150C2×C22⋊C4—831no—
1151C2×C22⋊C4—831no—
1152C2×C22⋊C4—831no—
1153C2×C22⋊C4—838no—
1154C2×C22⋊C4—831no—
1155C2×C22⋊C4—831no—
1156C2×C22⋊C4—831no—
1157C2×C22⋊C4—831no—
1158C2×C22⋊C4—831no—
1159C2×C22⋊C4—831no—
1160C2×C22⋊C4—831no—
1161C2×C22⋊C4—831no—
1162C2×C22⋊C4—831no—
1163C2×C22⋊C4—838no—
1164C2×C22⋊C4—831no—
1165C2×C22⋊C4—831no—
1166C2×C22⋊C4—831no—
1167C2×C22⋊C4—831no—
1168C2×C22⋊C4—831no—
1169C2×C22⋊C4—831no—
1170C2×C22⋊C4C22×D8311yescharacteristic
1171C2×C22⋊C4C22×D8311yescharacteristic
1172C2×C22⋊C4C22×D8311yescharacteristic
1173C2×C22⋊C4C22×D8311yescharacteristic
1174C2×C22⋊C4C22×D8311yescharacteristic
1175C2×C22⋊C4C22×D8311yescharacteristic
1176C2×C22⋊C4C22×D8311yescharacteristic
1177C2×C22⋊C4C22×D8311yescharacteristic
1178C2×C22⋊C4C22×D8311yescharacteristic
1179C2×C22⋊C4C22×D8311yescharacteristic
1180C2×C22⋊C4C22×D8311yescharacteristic
1181C2×C22⋊C4C22×D8311yescharacteristic
1182C2×C22⋊C4C22×D8311yescharacteristic
1183C2×C22⋊C4C22×D8311yescharacteristic
1184C2×C42—831no—
1185C2×C42—831no—
1186C2×C42—831no—
1187C2×C42—831no—
1188C2×C42—831no—
1189C2×C42—831no—
1190C2×C42—831no—
1191C2×C42—831no—
1192C2×C42—831no—
1193C2×C42—831no—
1194C2×C42C22×D8311yescharacteristic
1195C2×C42C22×D8311yescharacteristic
1196C2×C42C22×D8311yescharacteristic
1197#95—831no—
1198#95—831no—
1199#95—831no—
1200#95—831no—
1201#95—831no—
1202#95—831no—
1203#95—831no—
1204#95—831no—
1205#95—831no—
1206#95—831no—
1207#95—831no—
1208#95—831no—
1209#95—831no—
1210#95—831no—
1211#95—831no—
1212#95—831no—
1213#95—831no—
1214#95—831no—
1215#95—831no—
1216#95—831no—
1217#95—831no—
1218#95—831no—
1219#95—831no—
1220#95—831no—
1221#95—831no—
1222#95—831no—
1223#95—831no—
1224#95—831no—
1225#95—831no—
1226#95—831no—
1227#95—831no—
1228#95—831no—
1229#95—831no—
1230#95—831no—
1231#95C22×D8311yescharacteristic
1232#95C22×D8311yescharacteristic
1233#95C22×D8311yescharacteristic
1234#95C22×D8311yescharacteristic
1235#95C22×D8311yescharacteristic
1236#95C22×D8311yescharacteristic
1237C24—22no—
1238C24—22no—
1239C24—22no—
1240C24—22no—
1241C24—41no—
1242C24—41no—
1243C24—3321no—
1244C24—3321no—
1245C24—3321no—
1246C24—3321no—
1247C24—834no—
1248C24—831no—
1249C24—831no—
1250C24—1662no—
1251C24—1662no—
1252C24C2×C4×D8314yes—
1253C24C23×D8311yescharacteristic
1254C24C23×D8311yescharacteristic
1255C24C23×D8311yescharacteristic
1256C24C23×D8311yescharacteristic
1257#41—33216no—
1258C2×Q8—3321no—
1259C2×Q8—3321no—
1260C2×Q8—834no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—33216no—
1268C2×D4—3321no—
1269C2×D4—3321no—
1270C2×D4—3321no—
1271C2×D4—3321no—
1272C2×D4—3321no—
1273C2×D4—3321no—
1274C2×D4—3321no—
1275C2×D4—3321no—
1276C2×D4—834no—
1277C2×D4—834no—
1278C2×D4—834no—
1279C2×D4—834no—
1280C2×D4—834no—
1281C2×D4—834no—
1282C2×D4—1662no—
1283C2×D4—1662no—
1284C2×D4—1662no—
1285C2×D4—1662no—
1286C2×D4C2×C4×D8314yes—
1287C2×D4C2×C4×D8314yes—
1288C2×D4C2×C4×D8314yes—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—3321no—
1305C22×C4—3321no—
1306C22×C4—3321no—
1307C22×C4—3321no—
1308C22×C4—3321no—
1309C22×C4—3321no—
1310C22×C4—3321no—
1311C22×C4—3321no—
1312C22×C4—3321no—
1313C22×C4—3321no—
1314C22×C4—33216no—
1315C22×C4—3321no—
1316C22×C4—3321no—
1317C22×C4—3321no—
1318C22×C4—3321no—
1319C22×C4—3321no—
1320C22×C4—3321no—
1321C22×C4—3321no—
1322C22×C4—3321no—
1323C22×C4—3321no—
1324C22×C4—3321no—
1325C22×C4—3321no—
1326C22×C4—3321no—
1327C22×C4—3321no—
1328C22×C4—3321no—
1329C22×C4—3321no—
1330C22×C4—3321no—
1331C22×C4—3321no—
1332C22×C4—3321no—
1333C22×C4—3321no—
1334C22×C4—834no—
1335C22×C4—834no—
1336C22×C4—834no—
1337C22×C4—834no—
1338C22×C4—834no—
1339C22×C4—834no—
1340C22×C4—831no—
1341C22×C4—831no—
1342C22×C4—831no—
1343C22×C4—831no—
1344C22×C4—831no—
1345C22×C4—831no—
1346C22×C4—831no—
1347C22×C4—831no—
1348C22×C4—831no—
1349C22×C4—831no—
1350C22×C4—831no—
1351C22×C4—831no—
1352C22×C4—831no—
1353C22×C4—831no—
1354C22×C4—1662no—
1355C22×C4—1662no—
1356C22×C4—1662no—
1357C22×C4—1662no—
1358C22×C4—1662no—
1359C22×C4—1662no—
1360C22×C4—1662no—
1361C22×C4—1662no—
1362C22×C4—1662no—
1363C22×C4—1662no—
1364C22×C4C23×D8311yescharacteristic
1365C22×C4C23×D8311yescharacteristic
1366C22×C4C23×D8311yescharacteristic
1367C22×C4C23×D8311yescharacteristic
1368C22×C4C23×D8311yescharacteristic
1369C22×C4C23×D8311yescharacteristic
1370C22×C4C23×D8311yescharacteristic
1371C22×C4C23×D8311yescharacteristic
1372C22×C4C23×D8311yescharacteristic
1373C22×C4C23×D8311yescharacteristic
1374C22×C4C23×D8311yescharacteristic
1375C4⋊C4—41no—
1376C4⋊C4—41no—
1377C4⋊C4—41no—
1378C4⋊C4—3321no—
1379C4⋊C4—3321no—
1380C4⋊C4—3321no—
1381C4⋊C4—3321no—
1382C4⋊C4—3321no—
1383C4⋊C4—3321no—
1384C4⋊C4—3321no—
1385C4⋊C4—3321no—
1386C4⋊C4—3321no—
1387C4⋊C4—3321no—
1388C4⋊C4—3321no—
1389C4⋊C4—3321no—
1390C4⋊C4—3321no—
1391C4⋊C4—3321no—
1392C4⋊C4—3321no—
1393C4⋊C4—834no—
1394C4⋊C4—834no—
1395C4⋊C4—834no—
1396C4⋊C4—834no—
1397C4⋊C4—1662no—
1398C4⋊C4—1662no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—3321no—
1411C22⋊C4—3321no—
1412C22⋊C4—3321no—
1413C22⋊C4—3321no—
1414C22⋊C4—3321no—
1415C22⋊C4—3321no—
1416C22⋊C4—3321no—
1417C22⋊C4—3321no—
1418C22⋊C4—3321no—
1419C22⋊C4—3321no—
1420C22⋊C4—3321no—
1421C22⋊C4—3321no—
1422C22⋊C4—3321no—
1423C22⋊C4—3321no—
1424C22⋊C4—3321no—
1425C22⋊C4—3321no—
1426C22⋊C4—3321no—
1427C22⋊C4—834no—
1428C22⋊C4—834no—
1429C22⋊C4—834no—
1430C22⋊C4—834no—
1431C22⋊C4—834no—
1432C22⋊C4—834no—
1433C22⋊C4—834no—
1434C22⋊C4—834no—
1435C22⋊C4—834no—
1436C22⋊C4—1662no—
1437C22⋊C4—1662no—
1438C22⋊C4—1662no—
1439C22⋊C4—1662no—
1440C22⋊C4—1662no—
1441C22⋊C4—1662no—
1442C22⋊C4C2×C4×D8314yes—
1443C22⋊C4C2×C4×D8314yes—
1444C22⋊C4C2×C4×D8314yes—
1445C42—41no—
1446C42—41no—
1447C42—41no—
1448C42—3321no—
1449C42—3321no—
1450C42—3321no—
1451C42—3321no—
1452C42—3321no—
1453C42—3321no—
1454C42—3321no—
1455C42—3321no—
1456C42—834no—
1457C42—1662no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—28no—
1467C23—28no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—44no—
1481C23—44no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—3324no—
1486C23—3324no—
1487C23—832no—
1488C23—832no—
1489C23—6642no—
1490C23—6642no—
1491C23—6642no—
1492C23—6642no—
1493C23—1661no—
1494C23—1661no—
1495C23—1661no—
1496C23—1661no—
1497C23—1661no—
1498C23—1661no—
1499C23—1661no—
1500C23—1661no—
1501C23—1661no—
1502C23—1661no—
1503C23—1661no—
1504C23—1661no—
1505C23—1668no—
1506C23C22×C4×D8312yes—
1507C23C22×C4×D8312yes—
1508C23C22×C4×D8312yes—
1509C23C22×C4×D8312yes—
1510C23#1458183712yes—
1511C23#1458183712yes—
1512C23#1458183812yes—
1513C23#1458183912yes—
1514C23C24×D8311yescharacteristic
1515Q8—3324no—
1516D4—28no—
1517D4—28no—
1518D4—44no—
1519D4—3324no—
1520D4—3324no—
1521D4—3324no—
1522D4—3324no—
1523D4—1668no—
1524D4—1668no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—82no—
1556C2×C4—82no—
1557C2×C4—82no—
1558C2×C4—82no—
1559C2×C4—82no—
1560C2×C4—3324no—
1561C2×C4—3324no—
1562C2×C4—3324no—
1563C2×C4—3324no—
1564C2×C4—3324no—
1565C2×C4—3324no—
1566C2×C4—3324no—
1567C2×C4—3324no—
1568C2×C4—3324no—
1569C2×C4—3324no—
1570C2×C4—3324no—
1571C2×C4—832no—
1572C2×C4—832no—
1573C2×C4—832no—
1574C2×C4—832no—
1575C2×C4—832no—
1576C2×C4—832no—
1577C2×C4—832no—
1578C2×C4—6642no—
1579C2×C4—6642no—
1580C2×C4—6642no—
1581C2×C4—1661no—
1582C2×C4—1661no—
1583C2×C4—1661no—
1584C2×C4—1661no—
1585C2×C4—1661no—
1586C2×C4—1661no—
1587C2×C4—1661no—
1588C2×C4—1661no—
1589C2×C4—1661no—
1590C2×C4—1661no—
1591C2×C4—1661no—
1592C2×C4—1661no—
1593C2×C4—1661no—
1594C2×C4—1661no—
1595C2×C4—1661no—
1596C2×C4—1661no—
1597C2×C4—1661no—
1598C2×C4—1661no—
1599C2×C4—1661no—
1600C2×C4—1661no—
1601C2×C4—1661no—
1602C2×C4—1668no—
1603C2×C4—1661no—
1604C2×C4—1661no—
1605C2×C4—1661no—
1606C2×C4—1661no—
1607C2×C4—1661no—
1608C2×C4—1661no—
1609C2×C4—1661no—
1610C2×C4—1661no—
1611C2×C4—1661no—
1612C2×C4—1661no—
1613C2×C4—1661no—
1614C2×C4—1661no—
1615C2×C4—1661no—
1616C2×C4—1661no—
1617C2×C4C22×C4×D8312yes—
1618C2×C4C22×C4×D8312yes—
1619C2×C4C22×C4×D8312yes—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—416no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—3321no—
1648C22—3321no—
1649C22—3321no—
1650C22—3321no—
1651C22—3321no—
1652C22—3321no—
1653C22—3321no—
1654C22—3321no—
1655C22—6648no—
1656C22—1662no—
1657C22—1662no—
1658C22—1662no—
1659C22—1662no—
1660C22—1662no—
1661C22—1662no—
1662C22#1912817314yes—
1663C22#1912818014yes—
1664C22C23×C4×D8311yescharacteristic
1665C22H(5,𝔽2)×D8311yescharacteristic
1666C22C2×#1458183711yescharacteristic
1667C22C2×#1458183711yescharacteristic
1668C22C2×#1458183811yescharacteristic
1669C22C2×#1458183911yescharacteristic
1670C22#1912853611yescharacteristic
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—3321no—
1683C4—3321no—
1684C4—3321no—
1685C4—3321no—
1686C4—3321no—
1687C4—3321no—
1688C4—3321no—
1689C4—1662no—
1690C4—1662no—
1691C4—1662no—
1692C4—1662no—
1693C4—1662no—
1694C4—1662no—
1695C4—1662no—
1696C2—24no—
1697C2—24no—
1698C2—42no—
1699C2—42no—
1700C2—3322no—
1701C2—3322no—
1702C2C2×#1912817311yescharacteristic
1703C2C2×#1912818011yescharacteristic
1704C2#2492066711yescharacteristic
1705C2#2492161211yescharacteristic
1706C2#2492164111yescharacteristic
1707C2#2492166811yescharacteristic
1708C2#2492167811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2358C2
socle, cosocleC23×C83C25
prime radicalC2×#19128338C2
hypercenter#2358D83
hypocenterC83#34456
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. #24910632C2semidirect
3. #24910615C2semidirect
4. #24910614C2semidirect
5. #24910605C2semidirect
6. #24910544C2semidirect
7. #24910474C2semidirect
8. #24910453C2semidirect
9. #24910443C2semidirect
10. #24910386C2semidirect
11. #24910368C2semidirect
12. #24910308C2semidirect
13. #24910306C2semidirect
14. #24910288C2semidirect
15. C22⋊C4×C22⋊D83C2semidirect
16. #24910274C2semidirect
17. #24910251C2semidirect
18. #24910191C2semidirect
19. #24910164C2semidirect
20. #24910161C2semidirect
21. #24910159C2semidirect
22. #24910134C2semidirect
23. #24910117C2semidirect
24. #24910091C2semidirect
25. #24910089C2semidirect
26. #24910074C2semidirect
27. #24910050C2semidirect
28. #120×Dic83C2semidirect
29. C2×#19127578C2semidirect
30. C2×#19127573C2semidirect
31. C83×#2358C2semidirect
35. #19128338C4semidirect
46. C2×D4×Dic83C22semidirect
47. C2×D4×Dic83C22semidirect
51. C2×(C22⋊D83)⋊C4C22semidirect
52. C2×#14581749C22semidirect
53. C2×#14581748C22semidirect
54. C22×Dic83⋊C4C22semidirect
55. C22×Dic83⋊C4C22semidirect
61. #19127607C22semidirect
62. #19127606C22semidirect
63. #19127605C22semidirect
64. #19127605C22semidirect
67. #19127601C22semidirect
68. #19127601C22semidirect
69. #19127601C22semidirect
70. #19127599C22semidirect
71. #19127599C22semidirect
72. #19127598C22semidirect
73. #19127597C22semidirect
74. #19127595C22semidirect
75. #19127595C22semidirect
76. #19127595C22semidirect
77. #19127593C22semidirect
78. #19127592C22semidirect
79. #19127592C22semidirect
80. #19127592C22semidirect
81. #19127592C22semidirect
82. #19127591C22semidirect
83. #19127591C22semidirect
84. #19127590C22semidirect
85. #19127590C22semidirect
86. #19127590C22semidirect
87. #19127589C22semidirect
88. #19127589C22semidirect
89. #19127589C22semidirect
90. #19127588C22semidirect
91. #19127586C22semidirect
92. #19127586C22semidirect
93. #19127585C22semidirect
94. #19127585C22semidirect
95. #19127584C22semidirect
96. #19127584C22semidirect
97. #19127583C22semidirect
98. #19127582C22semidirect
99. #19127582C22semidirect
101. #19127581C22semidirect
102. #19127581C22semidirect
105. #19127580C22semidirect
106. #19127580C22semidirect
115. #19127578C22semidirect
118. #19127577C22semidirect
120. #19127576C22semidirect
121. #19127576C22semidirect
122. #19127575C22semidirect
123. #19127575C22semidirect
124. #19127575C22semidirect
127. #19127574C22semidirect
132. #19127573C22semidirect
133. #19127573C22semidirect
134. #19127573C22semidirect
135. #19127573C22semidirect
136. #19127573C22semidirect
137. #19127572C22semidirect
138. #19127572C22semidirect
139. #19127568C22semidirect
140. #19127566C22semidirect
141. #19127565C22semidirect
142. #19127563C22semidirect
143. #19127562C22semidirect
144. #19127562C22semidirect
145. #19127560C22semidirect
146. #19127560C22semidirect
147. #19127560C22semidirect
149. #19127559C22semidirect
150. #19127559C22semidirect
151. #19127559C22semidirect
152. #19127558C22semidirect
153. #19127558C22semidirect
156. C4⋊C4×Dic83C22semidirect
157. C4×Dic83⋊C4C22semidirect
158. #19127552C22semidirect
161. C22⋊C4×Dic83C22semidirect
162. C22⋊C4×Dic83C22semidirect
163. C22⋊C4×Dic83C22semidirect
164. C4×(C2×D83)⋊C4C22semidirect
167. #19127548C22semidirect
170. C2×C83⋊#95C22semidirect
171. C2×C83⋊#95C22semidirect
172. C2×C83⋊#95C22semidirect
175. C2×C4×D4×C83C22semidirect
178. #390×C83C22semidirect
179. #388×C83C22semidirect
180. #388×C83C22semidirect
182. #386×C83C22semidirect
183. #386×C83C22semidirect
185. #385×C83C22semidirect
187. C4×C22⋊C4×C83C22semidirect
191. C2×#13050589C2×C4semidirect
195. C22×C22⋊D83C2×C4semidirect
220. #14581778C2×C4semidirect
221. #14581776C2×C4semidirect
222. #14581774C2×C4semidirect
223. #14581769C2×C4semidirect
224. #14581764C2×C4semidirect
225. #14581764C2×C4semidirect
226. #14581763C2×C4semidirect
227. #14581760C2×C4semidirect
231. D4×Dic83C2×C4semidirect
235. (C22⋊D83)⋊C4C2×C4semidirect
261. C2×C22⋊Dic83C2×C4semidirect
297. C22⋊C4×D83C2×C4semidirect
351. #120×C83C2×C4semidirect
394. C2×Dic166C22×C4semidirect
412. C2×C22⋊D83C22×C4semidirect
413. C2×C22⋊D83C22×C4semidirect
447. C22×Dic83C22×C4semidirect
472. C2×C4×D83C22×C4semidirect
473. C2×C4×D83C22×C4semidirect
477. C4⋊Dic83C22×C4semidirect
478. C4⋊Dic83C22×C4semidirect
493. Dic83⋊C4C22×C4semidirect
494. Dic83⋊C4C22×C4semidirect
508. C22⋊Dic83C22×C4semidirect
523. (C2×D83)⋊C4C22×C4semidirect
524. (C2×D83)⋊C4C22×C4semidirect
525. (C2×D83)⋊C4C22×C4semidirect
526. (C2×D83)⋊C4C22×C4semidirect
536. C4×Dic83C22×C4semidirect
864. #2358D83semidirect
886. C83#34456semidirect
909. C2×C4×D4C2×D83semidirect
930. #390C2×D83semidirect
951. #388C2×D83semidirect
952. #388C2×D83semidirect
983. #386C2×D83semidirect
984. #386C2×D83semidirect
1006. #385C2×D83semidirect
1037. C4×C22⋊C4C2×D83semidirect
1092. #120C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283382
#249106322
#249106152
#249106142
#249106052
#249105442
#249104742
#249104532
#249104432
#249103862
#249103682
#249103082
#249103062
#249102882
C22⋊C4×C22⋊D832
#249102742
#249102512
#249101912
#249101642
#249101612
#249101592
#249101342
#249101172
#249100912
#249100892
#249100742
#249100502
#120×Dic832
C2×#191275782
C2×#191275732
C83×#23582
#3445683