Finite Group Databasebeta

← #35568954

Subgroups — #35568954

Order 21248.

2500 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128380C211yesmaximal, characteristic
2#24910656C211yesmaximal, characteristic, complemented
3#24910654C211yesmaximal, characteristic, complemented
4#24910636C211yesmaximal, characteristic, complemented
5#24910607C211yesmaximal, characteristic, complemented
6#24910468C211yesmaximal, characteristic, complemented
7#24910465C211yesmaximal, characteristic, complemented
8#24910458C211yesmaximal, characteristic, complemented
9#24910449C211yesmaximal, characteristic, complemented
10#24910440C211yesmaximal, characteristic
11C4⋊C4×C22⋊D83C211yesmaximal, characteristic, complemented
12#24910326C211yesmaximal, characteristic, complemented
13#24910321C211yesmaximal, characteristic, complemented
14#24910310C211yesmaximal, characteristic, complemented
15#24910309C211yesmaximal, characteristic, complemented
16#24910238C211yesmaximal, characteristic, complemented
17#24910231C211yesmaximal, characteristic, complemented
18#24910197C211yesmaximal, characteristic, complemented
19#24910193C211yesmaximal, characteristic, complemented
20#24910169C211yesmaximal, characteristic, complemented
21#24910132C211yesmaximal, characteristic, complemented
22#24910130C211yesmaximal, characteristic, complemented
23#24910128C211yesmaximal, characteristic, complemented
24#24910098C211yesmaximal, characteristic, complemented
25#24910096C211yesmaximal, characteristic, complemented
26#24910084C211yesmaximal, characteristic, complemented
27#24910082C211yesmaximal, characteristic, complemented
28C4×#14581760C211yesmaximal, characteristic
29C2×#19127572C211yesmaximal, characteristic, complemented
30#385×D83C211yesmaximal, characteristic, complemented
31D4×C4⋊C4×C83C211yesmaximal, characteristic, complemented
32C23×C4×D83C2211yescharacteristic
33#19128380C4116yescomplemented
34C2×#14581787C2211yescharacteristic
35C2×#14581786C2211yescharacteristic
36C2×#14581778C2211yescharacteristic
37C2×#14581775C2211yescharacteristic
38C2×#14581774C2211yescharacteristic
39C2×#14581773C2211yescharacteristic
40C2×#14581771C2211yescharacteristic
41C2×#14581770C2211yescharacteristic
42C2×#14581760C2211yescharacteristic
43C2×#14581757C2211yescharacteristic, complemented
44C2×C4×C22⋊D83C2211yescharacteristic
45C2×C4×C22⋊D83C2211yescharacteristic
46C2×C4×C22⋊D83C2211yescharacteristic
47C2×C4×C22⋊D83C2211yescharacteristic
48C2×#14581750C2211yescharacteristic
49C2×#14581749C2211yescharacteristic
50C2×#14581748C2211yescharacteristic
51C2×#14581748C2211yescharacteristic
52C22×Dic83⋊C4C2211yescharacteristic
53C2×C4⋊C4×D83C2211yescharacteristic
54C2×C4⋊C4×D83C2211yescharacteristic
55C22×(C2×D83)⋊C4C2211yescharacteristic
56C22×(C2×D83)⋊C4C2211yescharacteristic
57C2×C22⋊C4×D83C2211yescharacteristic
58C2×C22⋊C4×D83C2211yescharacteristic
59#19127606C2211yescharacteristic, complemented
60#19127605C2211yescharacteristic, complemented
61#19127605C2211yescharacteristic, complemented
62#19127601C2211yescharacteristic
63#19127598C2211yescharacteristic, complemented
64#19127598C2211yescharacteristic, complemented
65#19127597C2211yescharacteristic, complemented
66#19127596C2211yescharacteristic, complemented
67#19127596C2211yescharacteristic, complemented
68#19127596C2211yescharacteristic, complemented
69#19127596C2211yescharacteristic, complemented
70#19127596C2211yescharacteristic, complemented
71#19127596C2211yescharacteristic, complemented
72#19127596C2211yescharacteristic, complemented
73#19127596C2211yescharacteristic, complemented
74#19127596C2211yescharacteristic, complemented
75#19127595C2211yescharacteristic, complemented
76#19127595C2211yescharacteristic, complemented
77#19127595C2211yescharacteristic, complemented
78#19127594C2211yescharacteristic, complemented
79#19127594C2211yescharacteristic, complemented
80#19127593C2211yescharacteristic
81#19127593C2211yescharacteristic
82#19127592C2211yescharacteristic
83#19127591C2211yescharacteristic
84#19127591C2211yescharacteristic
85#19127591C2211yescharacteristic
86#19127591C2211yescharacteristic
87#19127591C2211yescharacteristic
88#19127590C2211yescharacteristic
89#19127590C2211yescharacteristic
90#19127589C2211yescharacteristic, complemented
91#19127588C2211yescharacteristic, complemented
92#19127588C2211yescharacteristic, complemented
93#19127587C2211yescharacteristic, complemented
94#19127587C2211yescharacteristic, complemented
95#19127586C2211yescharacteristic, complemented
96#19127586C2211yescharacteristic, complemented
97#19127585C2211yescharacteristic, complemented
98#19127585C2211yescharacteristic, complemented
99#19127585C2211yescharacteristic, complemented
100#19127582C2211yescharacteristic, complemented
101#19127582C2211yescharacteristic, complemented
102#19127582C2211yescharacteristic, complemented
103#19127582C2211yescharacteristic, complemented
104#19127582C2211yescharacteristic, complemented
105#19127582C2211yescharacteristic, complemented
106#19127582C2211yescharacteristic, complemented
107#19127581C2211yescharacteristic
108#19127581C2211yescharacteristic
109#19127580C2211yescharacteristic
110#19127577C2211yescharacteristic
111#19127577C2211yescharacteristic
112#19127577C2211yescharacteristic
113#19127576C2211yescharacteristic
114#19127576C2211yescharacteristic
115#19127575C2211yescharacteristic
116#19127575C2211yescharacteristic
117#19127574C2211yescharacteristic
118#19127574C2211yescharacteristic
119#19127574C2211yescharacteristic, complemented
120#19127574C2211yescharacteristic, complemented
121#19127574C2211yescharacteristic, complemented
122#19127573C2211yescharacteristic
123#19127573C2211yescharacteristic
124#19127572C2211yescharacteristic
125#19127572C2211yescharacteristic
126#19127572C2211yescharacteristic
127#19127572C2211yescharacteristic
128#19127572C2211yescharacteristic
129#19127572C2211yescharacteristic
130#19127572C2211yescharacteristic
131#19127572C2211yescharacteristic
132#19127572C2211yescharacteristic
133#19127572C2211yescharacteristic
134#19127572C2211yescharacteristic
135#19127572C2211yescharacteristic
136#19127572C2211yescharacteristic
137#19127572C2211yescharacteristic
138#19127572C2211yescharacteristic
139#19127570C2211yescharacteristic, complemented
140#19127570C2211yescharacteristic, complemented
141#19127569C2211yescharacteristic, complemented
142#19127568C2211yescharacteristic, complemented
143#19127567C2211yescharacteristic, complemented
144#19127566C2211yescharacteristic, complemented
145#19127565C2211yescharacteristic, complemented
146#19127565C2211yescharacteristic, complemented
147#19127564C2211yescharacteristic, complemented
148#19127563C2211yescharacteristic
149#19127562C2211yescharacteristic
150#19127561C2211yescharacteristic, complemented
151#19127558C2211yescharacteristic
152#19127556C2211yescharacteristic
153C4⋊C4×Dic83C2211yescharacteristic, complemented
154C4⋊C4×Dic83C2211yescharacteristic, complemented
155C4×Dic83⋊C4C2211yescharacteristic, complemented
156C22⋊C4×Dic83C2211yescharacteristic
157C22⋊C4×Dic83C2211yescharacteristic
158C4×(C2×D83)⋊C4C2211yescharacteristic
159C4×(C2×D83)⋊C4C2211yescharacteristic
160C4×(C2×D83)⋊C4C2211yescharacteristic
161C4×C22⋊Dic83C2211yescharacteristic
162C4×C22⋊Dic83C2211yescharacteristic
163C4×C22⋊Dic83C2211yescharacteristic
164C4×C22⋊Dic83C2211yescharacteristic, complemented
165#19127548C2211yescharacteristic
166#19127548C2211yescharacteristic
167#19127548C2211yescharacteristic
168#19127546C2211yescharacteristic, complemented
169C2×C83⋊#95C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic
171#95×D83C2211yescharacteristic
172#95×D83C2211yescharacteristic
173C2×C4×D4×C83C2211yescharacteristic
174C2×C4×D4×C83C2211yescharacteristic
175C2×C4×D4×C83C2211yescharacteristic
176C22×C4⋊C4×C83C2211yescharacteristic
177C22×C4⋊C4×C83C2211yescharacteristic, complemented
178#389×C83C2211yescharacteristic, complemented
179#389×C83C2211yescharacteristic, complemented
180#385×C83C2211yescharacteristic
181#385×C83C2211yescharacteristic
182#385×C83C2211yescharacteristic, complemented
183#385×C83C2211yescharacteristic, complemented
184#384×C83C2211yescharacteristic, complemented
185#380×C83C2211yescharacteristic
186#380×C83C2211yescharacteristic, complemented
187C4×C4⋊C4×C83C2211yescharacteristic, complemented
188C24×D83C2311yescharacteristic
189C22×Dic166C2311yescharacteristic
190C22×C22⋊D83C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C23×Dic83C2311yescharacteristic
193C23×Dic83C2311yescharacteristic
194C23×Dic83C2311yescharacteristic
195C22×C4×D83—42no—
196C22×C4×D83—42no—
197C22×C4×D83—42no—
198C22×C4×D83C2311yescharacteristic
199C22×C4×D83C2311yescharacteristic
200C22×C4×D83C2311yescharacteristic
201C22×C4×D83C2311yescharacteristic
202C22×C4×D83C2311yescharacteristic
203C22×C4×D83C2311yescharacteristic
204C22×C4×D83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206#14581787C2×C418yescomplemented
207#14581786C2×C418yescomplemented
208#14581778C2×C418yescomplemented
209#14581775C2×C418yescomplemented
210#14581774C2×C418yescomplemented
211#14581773C2×C418yescomplemented
212#14581771C2×C418yescomplemented
213#14581770C2×C418yescomplemented
214#14581760C2×C418yes—
215#14581757—42no—
216C4×C22⋊D83—42no—
217C4×C22⋊D83—42no—
218C4×C22⋊D83—42no—
219C4×C22⋊D83C2×C418yescomplemented
220#14581750—42no—
221#14581749C2×C418yescomplemented
222#14581748—42no—
223#14581748C2×C418yescomplemented
224C2×C4⋊Dic83C2311yescharacteristic
225C2×C4⋊Dic83C2311yescharacteristic
226C2×C4⋊Dic83C2311yescharacteristic
227C2×C4⋊Dic83C2311yescharacteristic
228C2×C4⋊Dic83C2311yescharacteristic
229C2×Dic83⋊C4—42no—
230C2×Dic83⋊C4C2311yescharacteristic
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×Dic83⋊C4C2311yescharacteristic
243C2×Dic83⋊C4C2311yescharacteristic
244C2×Dic83⋊C4C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×Dic83⋊C4C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C4⋊C4×D83—42no—
251C4⋊C4×D83—42no—
252C2×C22⋊Dic83C2311yescharacteristic
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×C22⋊Dic83C2311yescharacteristic
256C2×C22⋊Dic83C2311yescharacteristic
257C2×C22⋊Dic83C2311yescharacteristic
258C2×C22⋊Dic83C2311yescharacteristic
259C2×C22⋊Dic83C2311yescharacteristic
260C2×C22⋊Dic83C2311yescharacteristic
261C2×C22⋊Dic83C2311yescharacteristic
262C2×(C2×D83)⋊C4—42no—
263C2×(C2×D83)⋊C4C2×C418yescomplemented
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
282C22⋊C4×D83—42no—
283C22⋊C4×D83C2×C418yescomplemented
284C2×C4×Dic83C2311yescharacteristic
285C2×C4×Dic83C2311yescharacteristic
286C2×C4×Dic83C2311yescharacteristic
287C2×C4×Dic83C2311yescharacteristic
288C2×C4×Dic83C2311yescharacteristic
289C2×C4×Dic83C2311yescharacteristic
290C2×C4×Dic83C2311yescharacteristic
291C2×C4×Dic83C2311yescharacteristic
292C2×C4×Dic83C2311yescharacteristic
293C2×C4×Dic83C2311yescharacteristic
294C2×C4×Dic83C2311yescharacteristic
295C2×C4×Dic83C2311yescharacteristic
296C2×C4×Dic83C2311yescharacteristic
297C2×C4×Dic83C2311yescharacteristic
298C83⋊#95C2311yescharacteristic
299C83⋊#95C2311yescharacteristic
300C83⋊#95C2311yescharacteristic
301C83⋊#95C2311yescharacteristic
302C83⋊#95C2311yescharacteristic
303C83⋊#95C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C22×D4×C83C2311yescharacteristic
337C23×C4×C83C2311yescharacteristic
338C23×C4×C83C2311yescharacteristic
339C23×C4×C83C2311yescharacteristic
340C23×C4×C83C2311yescharacteristic
341C23×C4×C83C2311yescharacteristic
342C23×C4×C83C2311yescharacteristic
343C4×D4×C83—42no—
344C4×D4×C83—42no—
345C4×D4×C83C2×C418yescomplemented
346C2×C4⋊C4×C83—42no—
347C2×C4⋊C4×C83—42no—
348C2×C4⋊C4×C83C2311yescharacteristic
349C2×C4⋊C4×C83C2311yescharacteristic
350C2×C4⋊C4×C83C2311yescharacteristic
351C2×C4⋊C4×C83C2311yescharacteristic
352C2×C4⋊C4×C83C2311yescharacteristic
353C2×C4⋊C4×C83C2311yescharacteristic
354C2×C4⋊C4×C83C2311yescharacteristic
355C2×C4⋊C4×C83C2311yescharacteristic
356C2×C4⋊C4×C83C2311yescharacteristic
357C2×C4⋊C4×C83C2311yescharacteristic
358C2×C4⋊C4×C83C2311yescharacteristic
359C2×C4⋊C4×C83C2311yescharacteristic
360C2×C4⋊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×C42×C83C2311yescharacteristic
368C2×C42×C83C2311yescharacteristic
369C2×C42×C83C2311yescharacteristic
370#95×C83C2311yescharacteristic
371#95×C83C2311yescharacteristic
372#95×C83C2311yescharacteristic
373#95×C83C2311yescharacteristic
374#95×C83C2311yescharacteristic
375#95×C83C2311yescharacteristic
376C23×D83—22no—
377C23×D83—22no—
378C23×D83—22no—
379C23×D83—22no—
380C23×D83—41no—
381C23×D83—41no—
382C23×D83C22×C414yes—
383C23×D83C2411yescharacteristic
384C23×D83C2411yescharacteristic
385C2×Dic166—41no—
386C2×Dic166—41no—
387C2×Dic166C22×C414yescomplemented
388C2×C22⋊D83—22no—
389C2×C22⋊D83—22no—
390C2×C22⋊D83—41no—
391C2×C22⋊D83—41no—
392C2×C22⋊D83C22×C414yes—
393C2×C22⋊D83C22×C414yes—
394C22×Dic83—22no—
395C22×Dic83—22no—
396C22×Dic83—22no—
397C22×Dic83—22no—
398C22×Dic83—41no—
399C22×Dic83—41no—
400C22×Dic83—41no—
401C22×Dic83—41no—
402C22×Dic83C22×C414yes—
403C22×Dic83C2411yescharacteristic
404C22×Dic83C2411yescharacteristic
405C22×Dic83C2411yescharacteristic
406C22×Dic83C2411yescharacteristic
407C22×Dic83C2411yescharacteristic
408C22×Dic83C2411yescharacteristic
409C22×Dic83C2411yescharacteristic
410C22×Dic83C2411yescharacteristic
411C22×Dic83C2411yescharacteristic
412C22×Dic83C2411yescharacteristic
413C22×Dic83C2411yescharacteristic
414C22×Dic83C2411yescharacteristic
415C22×Dic83C2411yescharacteristic
416C22×Dic83C2411yescharacteristic
417C2×C4×D83—22no—
418C2×C4×D83—22no—
419C2×C4×D83—22no—
420C2×C4×D83—22no—
421C2×C4×D83—22no—
422C2×C4×D83—22no—
423C2×C4×D83—22no—
424C2×C4×D83—22no—
425C2×C4×D83—41no—
426C2×C4×D83—41no—
427C2×C4×D83—41no—
428C2×C4×D83—41no—
429C2×C4×D83—41no—
430C2×C4×D83—41no—
431C2×C4×D83—41no—
432C2×C4×D83—41no—
433C2×C4×D83—41no—
434C2×C4×D83—41no—
435C2×C4×D83—416no—
436C2×C4×D83—41no—
437C2×C4×D83—41no—
438C2×C4×D83—41no—
439C2×C4×D83—41no—
440C2×C4×D83C22×C414yes—
441C2×C4×D83C22×C414yes—
442C4⋊Dic83—41no—
443C4⋊Dic83—41no—
444C4⋊Dic83—41no—
445C4⋊Dic83—41no—
446C4⋊Dic83C22×C414yescomplemented
447Dic83⋊C4—22no—
448Dic83⋊C4—41no—
449Dic83⋊C4—41no—
450Dic83⋊C4—41no—
451Dic83⋊C4—41no—
452Dic83⋊C4—41no—
453Dic83⋊C4—41no—
454Dic83⋊C4—41no—
455Dic83⋊C4—41no—
456Dic83⋊C4—41no—
457Dic83⋊C4—41no—
458Dic83⋊C4—41no—
459Dic83⋊C4—41no—
460Dic83⋊C4—41no—
461Dic83⋊C4C22×C414yescomplemented
462Dic83⋊C4C22×C414yescomplemented
463Dic83⋊C4C22×C414yescomplemented
464Dic83⋊C4C22×C414yescomplemented
465Dic83⋊C4C22×C414yescomplemented
466Dic83⋊C4C22×C414yescomplemented
467C22⋊Dic83—22no—
468C22⋊Dic83—22no—
469C22⋊Dic83—41no—
470C22⋊Dic83—41no—
471C22⋊Dic83—41no—
472C22⋊Dic83—41no—
473C22⋊Dic83C22×C414yes—
474C22⋊Dic83C22×C414yes—
475C22⋊Dic83C22×C414yescomplemented
476C22⋊Dic83C22×C414yescomplemented
477(C2×D83)⋊C4—22no—
478(C2×D83)⋊C4—22no—
479(C2×D83)⋊C4—22no—
480(C2×D83)⋊C4—22no—
481(C2×D83)⋊C4—41no—
482(C2×D83)⋊C4—41no—
483(C2×D83)⋊C4—41no—
484(C2×D83)⋊C4—41no—
485(C2×D83)⋊C4—41no—
486(C2×D83)⋊C4—41no—
487(C2×D83)⋊C4C22×C414yes—
488(C2×D83)⋊C4C22×C414yes—
489(C2×D83)⋊C4C22×C414yes—
490(C2×D83)⋊C4C22×C414yes—
491(C2×D83)⋊C4C22×C414yes—
492(C2×D83)⋊C4C22×C414yes—
493(C2×D83)⋊C4C22×C414yes—
494(C2×D83)⋊C4C22×C414yes—
495C4×Dic83—22no—
496C4×Dic83—41no—
497C4×Dic83—41no—
498C4×Dic83—41no—
499C4×Dic83—41no—
500C4×Dic83—41no—
501C4×Dic83—41no—
502C4×Dic83—41no—
503C4×Dic83—41no—
504C4×Dic83—41no—
505C4×Dic83—41no—
506C4×Dic83—41no—
507C4×Dic83C22×C414yescomplemented
508C4×Dic83C22×C414yescomplemented
509C24×C83C2411yescharacteristic
510C24×C83C2411yescharacteristic
511C2×D4×C83—22no—
512C2×D4×C83—22no—
513C2×D4×C83C22×C414yes—
514C22×C4×C83—22no—
515C22×C4×C83—22no—
516C22×C4×C83—22no—
517C22×C4×C83—22no—
518C22×C4×C83—41no—
519C22×C4×C83—41no—
520C22×C4×C83—41no—
521C22×C4×C83—41no—
522C22×C4×C83—41no—
523C22×C4×C83—41no—
524C22×C4×C83—41no—
525C22×C4×C83—41no—
526C22×C4×C83—41no—
527C22×C4×C83—41no—
528C22×C4×C83—41no—
529C22×C4×C83—41no—
530C22×C4×C83C22×C414yes—
531C22×C4×C83C22×C414yescomplemented
532C22×C4×C83C2411yescharacteristic
533C22×C4×C83C2411yescharacteristic
534C22×C4×C83C2411yescharacteristic
535C22×C4×C83C2411yescharacteristic
536C22×C4×C83C2411yescharacteristic
537C22×C4×C83C2411yescharacteristic
538C22×C4×C83C2411yescharacteristic
539C22×C4×C83C2411yescharacteristic
540C22×C4×C83C2411yescharacteristic
541C22×C4×C83C2411yescharacteristic
542C22×C4×C83C2411yescharacteristic
543C22×C4×C83C2411yescharacteristic
544C22×C4×C83C2411yescharacteristic
545C4⋊C4×C83—22no—
546C4⋊C4×C83—22no—
547C4⋊C4×C83—22no—
548C4⋊C4×C83—41no—
549C4⋊C4×C83—41no—
550C4⋊C4×C83—41no—
551C4⋊C4×C83—41no—
552C4⋊C4×C83—41no—
553C4⋊C4×C83—41no—
554C4⋊C4×C83—41no—
555C4⋊C4×C83—41no—
556C4⋊C4×C83—41no—
557C4⋊C4×C83C22×C414yescomplemented
558C22⋊C4×C83—22no—
559C22⋊C4×C83—22no—
560C22⋊C4×C83—41no—
561C22⋊C4×C83—41no—
562C22⋊C4×C83C22×C414yes—
563C22⋊C4×C83C22×C414yescomplemented
564C42×C83—41no—
565C42×C83—41no—
566C42×C83C22×C414yescomplemented
567C23×C83—21no—
568C23×C83—21no—
569C23×C83—21no—
570C23×C83—21no—
571C23×C83—21no—
572C23×C83—21no—
573C23×C83—21no—
574C23×C83—21no—
575C23×C83—21no—
576C23×C83—21no—
577C23×C83C23×C412yes—
578C23×C83C23×C412yes—
579C23×C83H(5,𝔽2)12yes—
580C23×C832−1+412yes—
581C23×C83C2511yescharacteristic
582C22×D83—21no—
583C22×D83—21no—
584C22×D83—21no—
585C22×D83—21no—
586C22×D83—28no—
587C22×D83—21no—
588C22×D83—21no—
589C22×D83—21no—
590C22×D83—21no—
591C22×D83—21no—
592C22×D83—21no—
593C22×D83—28no—
594C22×D83—44no—
595C22×D83—44no—
596C22×D83—44no—
597C22×D83—44no—
598C22×D83—44no—
599C22×D83C23×C412yes—
600C22×D83C23×C412yes—
601C22×D83H(5,𝔽2)12yes—
602C22×D832−1+412yes—
603D4×C83—28no—
604C2×C4×C83—21no—
605C2×C4×C83—21no—
606C2×C4×C83—21no—
607C2×C4×C83—21no—
608C2×C4×C83—21no—
609C2×C4×C83—21no—
610C2×C4×C83—21no—
611C2×C4×C83—21no—
612C2×C4×C83—21no—
613C2×C4×C83—21no—
614C2×C4×C83—21no—
615C2×C4×C83—21no—
616C2×C4×C83—21no—
617C2×C4×C83—21no—
618C2×C4×C83—21no—
619C2×C4×C83—21no—
620C2×C4×C83—21no—
621C2×C4×C83—21no—
622C2×C4×C83—21no—
623C2×C4×C83—21no—
624C2×C4×C83—21no—
625C2×C4×C83—21no—
626C2×C4×C83—21no—
627C2×C4×C83—21no—
628C2×C4×C83—21no—
629C2×C4×C83—21no—
630C2×C4×C83—21no—
631C2×C4×C83—21no—
632C2×C4×C83—21no—
633C2×C4×C83—21no—
634C2×C4×C83—21no—
635C2×C4×C83—21no—
636C2×C4×C83—21no—
637C2×C4×C83—44no—
638C2×C4×C83—44no—
639C2×C4×C83—44no—
640C2×C4×C83—82no—
641C2×C4×C83—82no—
642C2×C4×C83—82no—
643C2×C4×C83C23×C412yes—
644C2×C4×C83C23×C412yes—
645C2×C4×C83C23×C412yes—
646C2×C4×C83C23×C412yes—
647C2×C4×C83C23×C412yes—
648C2×C4×C83H(5,𝔽2)12yes—
649C22⋊D83—28no—
650C22⋊D83—44no—
651C2×Dic83—28no—
652C2×Dic83—21no—
653C2×Dic83—21no—
654C2×Dic83—21no—
655C2×Dic83—21no—
656C2×Dic83—21no—
657C2×Dic83—21no—
658C2×Dic83—21no—
659C2×Dic83—21no—
660C2×Dic83—21no—
661C2×Dic83—21no—
662C2×Dic83—21no—
663C2×Dic83—21no—
664C2×Dic83—21no—
665C2×Dic83—21no—
666C2×Dic83—21no—
667C2×Dic83—21no—
668C2×Dic83—21no—
669C2×Dic83—21no—
670C2×Dic83—21no—
671C2×Dic83—21no—
672C2×Dic83—21no—
673C2×Dic83—21no—
674C2×Dic83—21no—
675C2×Dic83—21no—
676C2×Dic83—21no—
677C2×Dic83—21no—
678C2×Dic83—21no—
679C2×Dic83—21no—
680C2×Dic83—21no—
681C2×Dic83—21no—
682C2×Dic83—21no—
683C2×Dic83—21no—
684C2×Dic83—21no—
685C2×Dic83—21no—
686C2×Dic83—21no—
687C2×Dic83—21no—
688C2×Dic83—44no—
689C2×Dic83—82no—
690C2×Dic83C23×C412yes—
691C2×Dic83C23×C412yes—
692C2×Dic83C23×C412yes—
693C2×Dic83C23×C412yes—
694C2×Dic83C23×C412yes—
695C2×Dic83C23×C412yes—
696C4×D83—28no—
697C4×D83—44no—
698C4×D83—44no—
699C4×D83—44no—
700C4×D83—44no—
701C4×D83—44no—
702C4×D83—82no—
703C4×D83—82no—
704Dic166—44no—
705C22×C83—22no—
706C22×C83—22no—
707C22×C83—22no—
708C22×C83—22no—
709C22×C83—22no—
710C22×C83—22no—
711C22×C83—22no—
712C22×C83—22no—
713C22×C83—22no—
714C22×C83—41no—
715C22×C83—41no—
716C22×C83—41no—
717C22×C83—41no—
718C22×C83#52014yes—
719C22×C83C24×C411yescharacteristic
720C22×C83C2×H(5,𝔽2)11yescharacteristic
721C22×C83C2×H(5,𝔽2)11yescharacteristic
722C22×C83C2×H(5,𝔽2)11yescharacteristic
723C22×C83C2×2−1+411yescharacteristic
724C22×C83C2×2−1+411yescharacteristic
725C22×C83#58511yescharacteristic
726C2×D83—22no—
727C2×D83—22no—
728C2×D83—22no—
729C2×D83—22no—
730C2×D83—22no—
731C2×D83—22no—
732C2×D83—22no—
733C2×D83—22no—
734C2×D83—22no—
735C2×D83—416no—
736C2×D83—41no—
737C2×D83—41no—
738C2×D83—41no—
739C2×D83—41no—
740C2×D83#52014yes—
741C4×C83—22no—
742C4×C83—22no—
743C4×C83—22no—
744C4×C83—22no—
745C4×C83—22no—
746C4×C83—22no—
747C4×C83—41no—
748C4×C83—41no—
749C4×C83—41no—
750C4×C83—41no—
751C4×C83—41no—
752C4×C83—41no—
753C4×C83—41no—
754Dic83—22no—
755Dic83—22no—
756Dic83—22no—
757Dic83—22no—
758Dic83—22no—
759Dic83—22no—
760Dic83—41no—
761Dic83—41no—
762Dic83—41no—
763Dic83—41no—
764Dic83—41no—
765Dic83—41no—
766Dic83—41no—
767Dic83—41no—
768#34457—831nomaximal, Sylow
769C2×C83—24no—
770C2×C83—42no—
771C2×C83C2×#52011yescharacteristic
772C2×C83C2×#52011yescharacteristic
773C2×C83C4×H(5,𝔽2)11yescharacteristic
774C2×C83#353211yescharacteristic
775C2×C83#353511yescharacteristic
776C2×C83#353511yescharacteristic
777C2×C83#353811yescharacteristic
778D83—24no—
779D83—42no—
780C2×#551—831no—
781#2383—831no—
782#2383—831no—
783#2379—831no—
784#2376—831no—
785#2360—831no—
786#2360—831no—
787#2359—831no—
788#2359—831no—
789#2358—831no—
790D4×C4⋊C4—831no—
791D4×C4⋊C4D8311yescharacteristic, complemented
792#2343—831no—
793#2343—831no—
794#2342—831no—
795#2342—831no—
796#2334—831no—
797#2334—831no—
798#2329—831no—
799#2329—831no—
800#2326—831no—
801#2322—831no—
802#2322—831no—
803#2322—831no—
804#2318—831no—
805#2318—831no—
806#2317—831no—
807#2317—831no—
808C4×#120—831no—
809C2×#385—831no—
810C2×#385—831no—
811C83#3445711yescharacteristic, complemented, Sylow
812C24×C4—831no—
813#551—8316no—
814C2×#126—831no—
815C2×#126—831no—
816C2×#124—831no—
817C2×#123—831no—
818C2×#123—831no—
819C2×#123—831no—
820C2×C22⋊Q8—831no—
821C2×C22⋊Q8—831no—
822C2×#120—831no—
823C2×C4×Q8—831no—
824C2×C4×D4—831no—
825C2×C4×D4—831no—
826C2×C4×D4—831no—
827C2×C4×D4—831no—
828C2×C4×D4C2×D8311yescharacteristic
829C2×C4×D4C2×D8311yescharacteristic
830C2×C4×D4C2×D8311yescharacteristic
831C2×#117—831no—
832C2×#117—831no—
833C2×#117—831no—
834C2×#117—831no—
835C22×C4⋊C4—831no—
836C22×C4⋊C4—831no—
837C22×C4⋊C4—831no—
838C22×C4⋊C4C2×D8311yescharacteristic
839C22×C4⋊C4C2×D8311yescharacteristic, complemented
840C22×C22⋊C4—831no—
841C22×C22⋊C4—831no—
842C22×C22⋊C4—831no—
843C22×C22⋊C4—831no—
844#391—831no—
845#391—831no—
846#391—831no—
847#390—831no—
848#389—831no—
849#389—831no—
850#389—831no—
851#389—831no—
852#389—831no—
853#389—831no—
854#389—831no—
855#389—831no—
856#389—831no—
857#389—831no—
858#389—831no—
859#389—831no—
860#389C2×D8311yescharacteristic, complemented
861#389C2×D8311yescharacteristic, complemented
862#388—831no—
863#388—831no—
864#388—831no—
865#388—831no—
866#388—831no—
867#388—831no—
868#388—831no—
869#388—831no—
870#388—831no—
871#388—831no—
872#388—831no—
873#388—831no—
874#388—831no—
875#388—831no—
876#388—831no—
877#388—831no—
878#387—831no—
879#387—831no—
880#387—831no—
881#387—831no—
882#387—831no—
883#387—831no—
884#387—831no—
885#387—831no—
886#387—831no—
887#387—831no—
888#387—831no—
889#387—831no—
890#387—831no—
891#387—831no—
892#387—831no—
893#387—831no—
894#386—831no—
895#386—831no—
896#386—831no—
897#386—831no—
898#386—831no—
899#386—831no—
900#385—831no—
901#385—831no—
902#385—831no—
903#385—831no—
904#385—831no—
905#385—831no—
906#385—831no—
907#385—831no—
908#385—831no—
909#385—831no—
910#385—831no—
911#385—831no—
912#385—831no—
913#385—831no—
914#385—831no—
915#385—831no—
916#385—831no—
917#385—831no—
918#385—831no—
919#385—831no—
920#385—831no—
921#385—831no—
922#385—831no—
923#385—831no—
924#385—831no—
925#385—831no—
926#385C2×D8311yescharacteristic
927#385C2×D8311yescharacteristic
928#385C2×D8311yescharacteristic, complemented
929#385C2×D8311yescharacteristic, complemented
930#384—831no—
931#384—831no—
932#384C2×D8311yescharacteristic, complemented
933#383—831no—
934#383—831no—
935#382—831no—
936#382—831no—
937#382—831no—
938#382—831no—
939#381—831no—
940#381—831no—
941#381—831no—
942#380—831no—
943#380—831no—
944#380C2×D8311yescharacteristic
945#380C2×D8311yescharacteristic, complemented
946#379—831no—
947C4×C4⋊C4—831no—
948C4×C4⋊C4—831no—
949C4×C4⋊C4—831no—
950C4×C4⋊C4C2×D8311yescharacteristic, complemented
951C4×C22⋊C4—831no—
952C4×C22⋊C4—831no—
953C4×C22⋊C4—831no—
954C4×C22⋊C4—831no—
955C4×C22⋊C4—831no—
956C4×C22⋊C4—831no—
957C4×C22⋊C4—831no—
958C4×C22⋊C4—831no—
959C4×C22⋊C4—831no—
960C4×C22⋊C4—831no—
961C4×C22⋊C4—831no—
962C4×C22⋊C4—831no—
963#376—831no—
964C2×#95—831no—
965C2×#95—831no—
966C2×#95—831no—
967C2×#95—831no—
968C25—831no—
969C22×Q8—831no—
970C22×D4—831no—
971C22×D4—831no—
972C22×D4C22×D8311yescharacteristic
973C23×C4—3322no—
974C23×C4—3322no—
975C23×C4—3322no—
976C23×C4—831no—
977C23×C4—831no—
978C23×C4—831no—
979C23×C4—831no—
980C23×C4—831no—
981C23×C4—831no—
982C23×C4—831no—
983C23×C4—831no—
984C23×C4—831no—
985C23×C4—831no—
986C23×C4—831no—
987C23×C4C22×D8311yescharacteristic
988C23×C4C22×D8311yescharacteristic
989C23×C4C22×D8311yescharacteristic
990C23×C4C22×D8311yescharacteristic
991C23×C4C22×D8311yescharacteristic
992C23×C4C22×D8311yescharacteristic
993#126—838no—
994#126—838no—
995#124—838no—
996#123—838no—
997#123—838no—
998#123—838no—
999C22⋊Q8—838no—
1000C22⋊Q8—838no—
1001#120—838no—
1002C4×Q8—3322no—
1003C4×D4—42no—
1004C4×D4—42no—
1005C4×D4—3322no—
1006C4×D4—3322no—
1007C4×D4—3322no—
1008C4×D4—838no—
1009C4×D4C4×D8318yescomplemented
1010#117—3322no—
1011#117—3322no—
1012#117—838no—
1013#117—838no—
1014C2×C4⋊C4—42no—
1015C2×C4⋊C4—42no—
1016C2×C4⋊C4—3322no—
1017C2×C4⋊C4—3322no—
1018C2×C4⋊C4—3322no—
1019C2×C4⋊C4—831no—
1020C2×C4⋊C4—831no—
1021C2×C4⋊C4—831no—
1022C2×C4⋊C4—831no—
1023C2×C4⋊C4—831no—
1024C2×C4⋊C4—831no—
1025C2×C4⋊C4—831no—
1026C2×C4⋊C4—831no—
1027C2×C4⋊C4—831no—
1028C2×C4⋊C4—831no—
1029C2×C4⋊C4—831no—
1030C2×C4⋊C4—831no—
1031C2×C4⋊C4—831no—
1032C2×C4⋊C4—831no—
1033C2×C4⋊C4—831no—
1034C2×C4⋊C4—831no—
1035C2×C4⋊C4—831no—
1036C2×C4⋊C4—831no—
1037C2×C4⋊C4—831no—
1038C2×C4⋊C4—831no—
1039C2×C4⋊C4—831no—
1040C2×C4⋊C4—831no—
1041C2×C4⋊C4—831no—
1042C2×C4⋊C4—831no—
1043C2×C4⋊C4—831no—
1044C2×C4⋊C4C22×D8311yescharacteristic
1045C2×C4⋊C4C22×D8311yescharacteristic
1046C2×C4⋊C4C22×D8311yescharacteristic
1047C2×C4⋊C4C22×D8311yescharacteristic
1048C2×C4⋊C4C22×D8311yescharacteristic
1049C2×C4⋊C4C22×D8311yescharacteristic
1050C2×C4⋊C4C22×D8311yescharacteristic
1051C2×C4⋊C4C22×D8311yescharacteristic
1052C2×C4⋊C4C22×D8311yescharacteristic
1053C2×C4⋊C4C22×D8311yescharacteristic
1054C2×C4⋊C4C22×D8311yescharacteristic
1055C2×C4⋊C4C22×D8311yescharacteristic
1056C2×C4⋊C4C22×D8311yescharacteristic
1057C2×C22⋊C4—3322no—
1058C2×C22⋊C4—3322no—
1059C2×C22⋊C4—831no—
1060C2×C22⋊C4—831no—
1061C2×C22⋊C4—831no—
1062C2×C22⋊C4—831no—
1063C2×C22⋊C4—831no—
1064C2×C22⋊C4—831no—
1065C2×C22⋊C4—831no—
1066C2×C22⋊C4—831no—
1067C2×C22⋊C4—831no—
1068C2×C22⋊C4—831no—
1069C2×C22⋊C4—831no—
1070C2×C22⋊C4—831no—
1071C2×C22⋊C4—831no—
1072C2×C22⋊C4—831no—
1073C2×C22⋊C4—838no—
1074C2×C22⋊C4—831no—
1075C2×C22⋊C4—831no—
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—838no—
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⋊C4C22×D8311yescharacteristic
1090C2×C22⋊C4C22×D8311yescharacteristic
1091C2×C22⋊C4C22×D8311yescharacteristic
1092C2×C22⋊C4C22×D8311yescharacteristic
1093C2×C22⋊C4C22×D8311yescharacteristic
1094C2×C22⋊C4C22×D8311yescharacteristic
1095C2×C42—831no—
1096C2×C42—831no—
1097C2×C42—831no—
1098C2×C42—831no—
1099C2×C42—831no—
1100C2×C42—831no—
1101C2×C42—831no—
1102C2×C42—831no—
1103C2×C42—831no—
1104C2×C42—831no—
1105C2×C42—831no—
1106C2×C42—831no—
1107C2×C42—831no—
1108C2×C42—831no—
1109C2×C42C22×D8311yescharacteristic
1110C2×C42C22×D8311yescharacteristic
1111C2×C42C22×D8311yescharacteristic
1112#95—831no—
1113#95—831no—
1114#95—831no—
1115#95—831no—
1116#95—831no—
1117#95—831no—
1118#95—831no—
1119#95—831no—
1120#95—831no—
1121#95—831no—
1122#95—831no—
1123#95—831no—
1124#95—831no—
1125#95—831no—
1126#95—831no—
1127#95—831no—
1128#95—831no—
1129#95—831no—
1130#95—831no—
1131#95—831no—
1132#95—831no—
1133#95—831no—
1134#95—831no—
1135#95—831no—
1136#95—831no—
1137#95—831no—
1138#95—831no—
1139#95—831no—
1140#95—831no—
1141#95—831no—
1142#95—831no—
1143#95—831no—
1144#95—831no—
1145#95—831no—
1146#95—831no—
1147#95—831no—
1148#95—831no—
1149#95—831no—
1150#95C22×D8311yescharacteristic
1151#95C22×D8311yescharacteristic
1152#95C22×D8311yescharacteristic
1153#95C22×D8311yescharacteristic
1154#95C22×D8311yescharacteristic
1155#95C22×D8311yescharacteristic
1156C24—3321no—
1157C24—3321no—
1158C24—834no—
1159C24—831no—
1160C24—831no—
1161C24—1662no—
1162C24—1662no—
1163C24—1662no—
1164C24—1662no—
1165C24C23×D8311yescharacteristic
1166C24C23×D8311yescharacteristic
1167C2×Q8—3321no—
1168C2×Q8—3321no—
1169C2×Q8—834no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—3321no—
1173C2×D4—3321no—
1174C2×D4—834no—
1175C2×D4—834no—
1176C2×D4—1662no—
1177C2×D4—1662no—
1178C2×D4C2×C4×D8314yes—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—3321no—
1196C22×C4—3321no—
1197C22×C4—3321no—
1198C22×C4—3321no—
1199C22×C4—3321no—
1200C22×C4—3321no—
1201C22×C4—3321no—
1202C22×C4—3321no—
1203C22×C4—3321no—
1204C22×C4—3321no—
1205C22×C4—3321no—
1206C22×C4—3321no—
1207C22×C4—3321no—
1208C22×C4—3321no—
1209C22×C4—33216no—
1210C22×C4—3321no—
1211C22×C4—3321no—
1212C22×C4—3321no—
1213C22×C4—3321no—
1214C22×C4—834no—
1215C22×C4—834no—
1216C22×C4—831no—
1217C22×C4—831no—
1218C22×C4—831no—
1219C22×C4—831no—
1220C22×C4—831no—
1221C22×C4—831no—
1222C22×C4—834no—
1223C22×C4—831no—
1224C22×C4—831no—
1225C22×C4—831no—
1226C22×C4—831no—
1227C22×C4—831no—
1228C22×C4—831no—
1229C22×C4—831no—
1230C22×C4—831no—
1231C22×C4—1662no—
1232C22×C4—1662no—
1233C22×C4—1662no—
1234C22×C4—1662no—
1235C22×C4—1662no—
1236C22×C4—1662no—
1237C22×C4—1662no—
1238C22×C4—1662no—
1239C22×C4—1662no—
1240C22×C4—1662no—
1241C22×C4—1662no—
1242C22×C4—1662no—
1243C22×C4C2×C4×D8314yes—
1244C22×C4C2×C4×D8314yescomplemented
1245C22×C4C23×D8311yescharacteristic
1246C22×C4C23×D8311yescharacteristic
1247C22×C4C23×D8311yescharacteristic
1248C22×C4C23×D8311yescharacteristic
1249C22×C4C23×D8311yescharacteristic
1250C22×C4C23×D8311yescharacteristic
1251C22×C4C23×D8311yescharacteristic
1252C22×C4C23×D8311yescharacteristic
1253C22×C4C23×D8311yescharacteristic
1254C22×C4C23×D8311yescharacteristic
1255C22×C4C23×D8311yescharacteristic
1256C22×C4C23×D8311yescharacteristic
1257C22×C4C23×D8311yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—3321no—
1271C4⋊C4—3321no—
1272C4⋊C4—3321no—
1273C4⋊C4—3321no—
1274C4⋊C4—3321no—
1275C4⋊C4—3321no—
1276C4⋊C4—3321no—
1277C4⋊C4—3321no—
1278C4⋊C4—3321no—
1279C4⋊C4—3321no—
1280C4⋊C4—3321no—
1281C4⋊C4—3321no—
1282C4⋊C4—3321no—
1283C4⋊C4—3321no—
1284C4⋊C4—3321no—
1285C4⋊C4—3321no—
1286C4⋊C4—3321no—
1287C4⋊C4—834no—
1288C4⋊C4—834no—
1289C4⋊C4—834no—
1290C4⋊C4—834no—
1291C4⋊C4—834no—
1292C4⋊C4—834no—
1293C4⋊C4—834no—
1294C4⋊C4—1662no—
1295C4⋊C4C2×C4×D8314yescomplemented
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—3321no—
1301C22⋊C4—3321no—
1302C22⋊C4—3321no—
1303C22⋊C4—3321no—
1304C22⋊C4—3321no—
1305C22⋊C4—3321no—
1306C22⋊C4—3321no—
1307C22⋊C4—3321no—
1308C22⋊C4—3321no—
1309C22⋊C4—3321no—
1310C22⋊C4—834no—
1311C22⋊C4—834no—
1312C22⋊C4—834no—
1313C22⋊C4—834no—
1314C22⋊C4—834no—
1315C22⋊C4—834no—
1316C22⋊C4—834no—
1317C22⋊C4—834no—
1318C22⋊C4—834no—
1319C22⋊C4—834no—
1320C22⋊C4—834no—
1321C22⋊C4—834no—
1322C22⋊C4—1662no—
1323C22⋊C4—1662no—
1324C22⋊C4—1662no—
1325C22⋊C4—1662no—
1326C22⋊C4—1662no—
1327C22⋊C4—1662no—
1328C22⋊C4C2×C4×D8314yes—
1329C22⋊C4C2×C4×D8314yescomplemented
1330C42—41no—
1331C42—41no—
1332C42—3321no—
1333C42—3321no—
1334C42—3321no—
1335C42—3321no—
1336C42—3321no—
1337C42—3321no—
1338C42—3321no—
1339C42—3321no—
1340C42—3321no—
1341C42—3321no—
1342C42—3321no—
1343C42—834no—
1344C42—834no—
1345C42—1662no—
1346C42C2×C4×D8314yescomplemented
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—3324no—
1358C23—3324no—
1359C23—3324no—
1360C23—3324no—
1361C23—3324no—
1362C23—832no—
1363C23—832no—
1364C23—832no—
1365C23—832no—
1366C23—1668no—
1367C23—1668no—
1368C23—1661no—
1369C23—1661no—
1370C23—1661no—
1371C23—1661no—
1372C23—1661no—
1373C23—1661no—
1374C23—1661no—
1375C23—1661no—
1376C23—1661no—
1377C23—1661no—
1378C23C22×C4×D8312yes—
1379C23C22×C4×D8312yes—
1380C23#1458183712yes—
1381C23#1458184012yes—
1382C23C24×D8311yescharacteristic
1383Q8—3324no—
1384D4—28no—
1385D4—3324no—
1386D4—1668no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—44no—
1423C2×C4—82no—
1424C2×C4—82no—
1425C2×C4—82no—
1426C2×C4—3324no—
1427C2×C4—3324no—
1428C2×C4—3324no—
1429C2×C4—3324no—
1430C2×C4—3324no—
1431C2×C4—3324no—
1432C2×C4—832no—
1433C2×C4—832no—
1434C2×C4—832no—
1435C2×C4—832no—
1436C2×C4—832no—
1437C2×C4—832no—
1438C2×C4—6642no—
1439C2×C4—6642no—
1440C2×C4—6642no—
1441C2×C4—1668no—
1442C2×C4—1661no—
1443C2×C4—1661no—
1444C2×C4—1661no—
1445C2×C4—1661no—
1446C2×C4—1661no—
1447C2×C4—1661no—
1448C2×C4—1661no—
1449C2×C4—1661no—
1450C2×C4—1661no—
1451C2×C4—1661no—
1452C2×C4—1661no—
1453C2×C4—1661no—
1454C2×C4—1661no—
1455C2×C4—1661no—
1456C2×C4—1661no—
1457C2×C4—1661no—
1458C2×C4—1661no—
1459C2×C4—1661no—
1460C2×C4—1661no—
1461C2×C4—1661no—
1462C2×C4—1661no—
1463C2×C4—1661no—
1464C2×C4—1661no—
1465C2×C4—1661no—
1466C2×C4—1668no—
1467C2×C4—1661no—
1468C2×C4—1661no—
1469C2×C4—1661no—
1470C2×C4—1661no—
1471C2×C4—1661no—
1472C2×C4—1661no—
1473C2×C4—1661no—
1474C2×C4—1661no—
1475C2×C4—1661no—
1476C2×C4—1661no—
1477C2×C4—1661no—
1478C2×C4—1661no—
1479C2×C4C22×C4×D8312yes—
1480C2×C4C22×C4×D8312yes—
1481C2×C4C22×C4×D8312yes—
1482C2×C4C22×C4×D8312yes—
1483C2×C4C22×C4×D8312yes—
1484C2×C4#1458183712yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—33216no—
1499C22—3321no—
1500C22—3321no—
1501C22—3321no—
1502C22—3321no—
1503C22—834no—
1504C22—1662no—
1505C22—1662no—
1506C22—1662no—
1507C22—1662no—
1508C22—1662no—
1509C22—1662no—
1510C22—1662no—
1511C22—1662no—
1512C22—1662no—
1513C22#1912818214yes—
1514C22C23×C4×D8311yescharacteristic
1515C22H(5,𝔽2)×D8311yescharacteristic
1516C22C2×#1458183711yescharacteristic
1517C22C2×#1458183711yescharacteristic
1518C222−1+4×D8311yescharacteristic
1519C22C2×#1458184011yescharacteristic
1520C22#1912853711yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—3321no—
1535C4—3321no—
1536C4—3321no—
1537C4—3321no—
1538C4—3321no—
1539C4—3321no—
1540C4—3321no—
1541C4—3321no—
1542C4—1662no—
1543C4—1662no—
1544C4—1662no—
1545C4—1662no—
1546C4—1662no—
1547C4—1662no—
1548C2—24no—
1549C2—42no—
1550C2—3322no—
1551C2—1664no—
1552C2#520×D8311yescharacteristic
1553C2C2×#1912818211yescharacteristic
1554C2C4×#1458183711yescharacteristic
1555C2#2492161311yescharacteristic
1556C2#2492166411yescharacteristic
1557C2#2492166711yescharacteristic
1558C2#2492170411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingD4×C4⋊C4×C83C2
socle, cosocleC23×C83C25
prime radicalC2×#14581760C22
hypercenterD4×C4⋊C4D83
hypocenterC83#34457
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ D4×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. #24910656C2semidirect
3. #24910654C2semidirect
4. #24910636C2semidirect
5. #24910607C2semidirect
6. #24910468C2semidirect
7. #24910465C2semidirect
8. #24910458C2semidirect
9. #24910449C2semidirect
11. C4⋊C4×C22⋊D83C2semidirect
12. #24910326C2semidirect
13. #24910321C2semidirect
14. #24910310C2semidirect
15. #24910309C2semidirect
16. #24910238C2semidirect
17. #24910231C2semidirect
18. #24910197C2semidirect
19. #24910193C2semidirect
20. #24910169C2semidirect
21. #24910132C2semidirect
22. #24910130C2semidirect
23. #24910128C2semidirect
24. #24910098C2semidirect
25. #24910096C2semidirect
26. #24910084C2semidirect
27. #24910082C2semidirect
29. C2×#19127572C2semidirect
30. #385×D83C2semidirect
31. D4×C4⋊C4×C83C2semidirect
33. #19128380C4semidirect
43. C2×#14581757C22semidirect
59. #19127606C22semidirect
60. #19127605C22semidirect
61. #19127605C22semidirect
63. #19127598C22semidirect
64. #19127598C22semidirect
65. #19127597C22semidirect
66. #19127596C22semidirect
67. #19127596C22semidirect
68. #19127596C22semidirect
69. #19127596C22semidirect
70. #19127596C22semidirect
71. #19127596C22semidirect
72. #19127596C22semidirect
73. #19127596C22semidirect
74. #19127596C22semidirect
75. #19127595C22semidirect
76. #19127595C22semidirect
77. #19127595C22semidirect
78. #19127594C22semidirect
79. #19127594C22semidirect
90. #19127589C22semidirect
91. #19127588C22semidirect
92. #19127588C22semidirect
93. #19127587C22semidirect
94. #19127587C22semidirect
95. #19127586C22semidirect
96. #19127586C22semidirect
97. #19127585C22semidirect
98. #19127585C22semidirect
99. #19127585C22semidirect
100. #19127582C22semidirect
101. #19127582C22semidirect
102. #19127582C22semidirect
103. #19127582C22semidirect
104. #19127582C22semidirect
105. #19127582C22semidirect
106. #19127582C22semidirect
119. #19127574C22semidirect
120. #19127574C22semidirect
121. #19127574C22semidirect
139. #19127570C22semidirect
140. #19127570C22semidirect
141. #19127569C22semidirect
142. #19127568C22semidirect
143. #19127567C22semidirect
144. #19127566C22semidirect
145. #19127565C22semidirect
146. #19127565C22semidirect
147. #19127564C22semidirect
150. #19127561C22semidirect
153. C4⋊C4×Dic83C22semidirect
154. C4⋊C4×Dic83C22semidirect
155. C4×Dic83⋊C4C22semidirect
164. C4×C22⋊Dic83C22semidirect
168. #19127546C22semidirect
177. C22×C4⋊C4×C83C22semidirect
178. #389×C83C22semidirect
179. #389×C83C22semidirect
182. #385×C83C22semidirect
183. #385×C83C22semidirect
184. #384×C83C22semidirect
186. #380×C83C22semidirect
187. C4×C4⋊C4×C83C22semidirect
206. #14581787C2×C4semidirect
207. #14581786C2×C4semidirect
208. #14581778C2×C4semidirect
209. #14581775C2×C4semidirect
210. #14581774C2×C4semidirect
211. #14581773C2×C4semidirect
212. #14581771C2×C4semidirect
213. #14581770C2×C4semidirect
219. C4×C22⋊D83C2×C4semidirect
221. #14581749C2×C4semidirect
223. #14581748C2×C4semidirect
263. C2×(C2×D83)⋊C4C2×C4semidirect
283. C22⋊C4×D83C2×C4semidirect
345. C4×D4×C83C2×C4semidirect
387. C2×Dic166C22×C4semidirect
446. C4⋊Dic83C22×C4semidirect
461. Dic83⋊C4C22×C4semidirect
462. Dic83⋊C4C22×C4semidirect
463. Dic83⋊C4C22×C4semidirect
464. Dic83⋊C4C22×C4semidirect
465. Dic83⋊C4C22×C4semidirect
466. Dic83⋊C4C22×C4semidirect
475. C22⋊Dic83C22×C4semidirect
476. C22⋊Dic83C22×C4semidirect
507. C4×Dic83C22×C4semidirect
508. C4×Dic83C22×C4semidirect
531. C22×C4×C83C22×C4semidirect
557. C4⋊C4×C83C22×C4semidirect
563. C22⋊C4×C83C22×C4semidirect
566. C42×C83C22×C4semidirect
791. D4×C4⋊C4D83semidirect
811. C83#34457semidirect
839. C22×C4⋊C4C2×D83semidirect
860. #389C2×D83semidirect
861. #389C2×D83semidirect
928. #385C2×D83semidirect
929. #385C2×D83semidirect
932. #384C2×D83semidirect
945. #380C2×D83semidirect
950. C4×C4⋊C4C2×D83semidirect
1009. C4×D4C4×D83semidirect
1244. C22×C4C2×C4×D83semidirect
1295. C4⋊C4C2×C4×D83semidirect
1329. C22⋊C4C2×C4×D83semidirect
1346. C42C2×C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283802
#249106562
#249106542
#249106362
#249106072
#249104682
#249104652
#249104582
#249104492
#249104402
C4⋊C4×C22⋊D832
#249103262
#249103212
#249103102
#249103092
#249102382
#249102312
#249101972
#249101932
#249101692
#249101322
#249101302
#249101282
#249100982
#249100962
#249100842
#249100822
C4×#145817602
C2×#191275722
#385×D832
D4×C4⋊C4×C832
#3445783