Finite Group Databasebeta

← #35570207

Subgroups — #35570207

Order 21248.

2544 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128440C211yesmaximal, characteristic
2#24910604C211yesmaximal, characteristic, complemented
3#24910602C211yesmaximal, characteristic, complemented
4#24910602C211yesmaximal, characteristic, complemented
5#24910597C211yesmaximal, characteristic, complemented
6#24910585C211yesmaximal, characteristic, complemented
7#24910578C211yesmaximal, characteristic, complemented
8#24910525C211yesmaximal, characteristic, complemented
9#24910512C211yesmaximal, characteristic, complemented
10#24910508C211yesmaximal, characteristic, complemented
11#24910504C211yesmaximal, characteristic, complemented
12#24910502C211yesmaximal, characteristic, complemented
13#24910482C211yesmaximal, characteristic, complemented
14#24910475C211yesmaximal, characteristic, complemented
15#24910456C211yesmaximal, characteristic, complemented
16#24910449C211yesmaximal, characteristic, complemented
17#24910254C211yesmaximal, characteristic, complemented
18#24910248C211yesmaximal, characteristic, complemented
19#24910240C211yesmaximal, characteristic, complemented
20#24910239C211yesmaximal, characteristic, complemented
21#24910224C211yesmaximal, characteristic, complemented
22#24910223C211yesmaximal, characteristic, complemented
23#24910184C211yesmaximal, characteristic, complemented
24#24910161C211yesmaximal, characteristic, complemented
25#24910160C211yesmaximal, characteristic, complemented
26#24910153C211yesmaximal, characteristic, complemented
27#24910150C211yesmaximal, characteristic, complemented
28#24910130C211yesmaximal, characteristic, complemented
29C4×#14581761C211yesmaximal, characteristic, complemented
30C4×#14581761C211yesmaximal, characteristic, complemented
31C4×#120×C83C211yesmaximal, characteristic, complemented
32#19128440C4116yescomplemented
33C2×#14581788C2211yescharacteristic
34C2×#14581785C2211yescharacteristic
35C2×#14581785C2211yescharacteristic
36C2×#14581774C2211yescharacteristic
37C2×#14581774C2211yescharacteristic
38C2×#14581773C2211yescharacteristic
39C2×#14581765C2211yescharacteristic
40C2×#14581765C2211yescharacteristic
41C2×#14581764C2211yescharacteristic
42C2×#14581764C2211yescharacteristic
43C2×#14581763C2211yescharacteristic
44C2×#14581763C2211yescharacteristic
45C2×#14581761C2211yescharacteristic
46C2×#14581761C2211yescharacteristic
47C2×#14581754C2211yescharacteristic, complemented
48C2×C4×C22⋊D83C2211yescharacteristic
49C2×C4×C22⋊D83C2211yescharacteristic
50C2×C4×C22⋊D83C2211yescharacteristic
51C2×C4×C22⋊D83C2211yescharacteristic
52C2×C4×C22⋊D83C2211yescharacteristic
53C2×C4×C22⋊D83C2211yescharacteristic
54C2×C4×C22⋊D83C2211yescharacteristic, complemented
55C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
56C2×#14581749C2211yescharacteristic, complemented
57C2×#14581748C2211yescharacteristic, complemented
58C2×C4⋊C4×D83C2211yescharacteristic, complemented
59#19127604C2211yescharacteristic
60#19127604C2211yescharacteristic
61#19127604C2211yescharacteristic
62#19127603C2211yescharacteristic, complemented
63#19127601C2211yescharacteristic
64#19127601C2211yescharacteristic
65#19127601C2211yescharacteristic
66#19127601C2211yescharacteristic
67#19127601C2211yescharacteristic
68#19127601C2211yescharacteristic
69#19127601C2211yescharacteristic, complemented
70#19127601C2211yescharacteristic, complemented
71#19127599C2211yescharacteristic, complemented
72#19127598C2211yescharacteristic, complemented
73#19127598C2211yescharacteristic, complemented
74#19127598C2211yescharacteristic, complemented
75#19127597C2211yescharacteristic, complemented
76#19127596C2211yescharacteristic, complemented
77#19127595C2211yescharacteristic
78#19127595C2211yescharacteristic
79#19127595C2211yescharacteristic
80#19127595C2211yescharacteristic
81#19127595C2211yescharacteristic
82#19127595C2211yescharacteristic
83#19127595C2211yescharacteristic, complemented
84#19127595C2211yescharacteristic, complemented
85#19127594C2211yescharacteristic
86#19127594C2211yescharacteristic
87#19127594C2211yescharacteristic
88#19127594C2211yescharacteristic
89#19127594C2211yescharacteristic
90#19127594C2211yescharacteristic
91#19127593C2211yescharacteristic, complemented
92#19127592C2211yescharacteristic, complemented
93#19127591C2211yescharacteristic, complemented
94#19127590C2211yescharacteristic, complemented
95#19127589C2211yescharacteristic
96#19127589C2211yescharacteristic
97#19127589C2211yescharacteristic
98#19127589C2211yescharacteristic
99#19127589C2211yescharacteristic
100#19127589C2211yescharacteristic
101#19127588C2211yescharacteristic, complemented
102#19127586C2211yescharacteristic, complemented
103#19127586C2211yescharacteristic, complemented
104#19127585C2211yescharacteristic, complemented
105#19127585C2211yescharacteristic, complemented
106#19127585C2211yescharacteristic, complemented
107#19127584C2211yescharacteristic, complemented
108#19127584C2211yescharacteristic, complemented
109#19127583C2211yescharacteristic, complemented
110#19127582C2211yescharacteristic, complemented
111#19127582C2211yescharacteristic, complemented
112#19127582C2211yescharacteristic, complemented
113#19127581C2211yescharacteristic
114#19127581C2211yescharacteristic
115#19127581C2211yescharacteristic
116#19127580C2211yescharacteristic
117#19127580C2211yescharacteristic
118#19127580C2211yescharacteristic
119#19127580C2211yescharacteristic
120#19127580C2211yescharacteristic
121#19127580C2211yescharacteristic
122#19127580C2211yescharacteristic, complemented
123#19127579C2211yescharacteristic, complemented
124#19127579C2211yescharacteristic, complemented
125#19127578C2211yescharacteristic, complemented
126#19127577C2211yescharacteristic
127#19127577C2211yescharacteristic
128#19127577C2211yescharacteristic
129#19127577C2211yescharacteristic
130#19127577C2211yescharacteristic
131#19127577C2211yescharacteristic
132#19127577C2211yescharacteristic, complemented
133#19127577C2211yescharacteristic, complemented
134#19127575C2211yescharacteristic, complemented
135#19127574C2211yescharacteristic
136#19127574C2211yescharacteristic
137#19127574C2211yescharacteristic
138#19127574C2211yescharacteristic
139#19127574C2211yescharacteristic
140#19127574C2211yescharacteristic
141#19127574C2211yescharacteristic, complemented
142#19127572C2211yescharacteristic, complemented
143#19127565C2211yescharacteristic, complemented
144#19127563C2211yescharacteristic, complemented
145#19127559C2211yescharacteristic, complemented
146#19127558C2211yescharacteristic, complemented
147#19127557C2211yescharacteristic
148#19127557C2211yescharacteristic
149C4⋊C4×Dic83C2211yescharacteristic, complemented
150C4⋊C4×Dic83C2211yescharacteristic, complemented
151C4×Dic83⋊C4C2211yescharacteristic, complemented
152C4×Dic83⋊C4C2211yescharacteristic, complemented
153C4×C4⋊Dic83C2211yescharacteristic, complemented
154#19127552C2211yescharacteristic, complemented
155#19127552C2211yescharacteristic, complemented
156#19127552C2211yescharacteristic, complemented
157C22⋊C4×Dic83C2211yescharacteristic, complemented
158C22⋊C4×Dic83C2211yescharacteristic, complemented
159C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
161C4×C22⋊Dic83C2211yescharacteristic
162C4×C22⋊Dic83C2211yescharacteristic
163C4×C22⋊Dic83C2211yescharacteristic
164C4×C22⋊Dic83C2211yescharacteristic
165C4×C22⋊Dic83C2211yescharacteristic
166C4×C22⋊Dic83C2211yescharacteristic
167#19127548C2211yescharacteristic, complemented
168#19127548C2211yescharacteristic, complemented
169#19127548C2211yescharacteristic, complemented
170#19127546C2211yescharacteristic, complemented
171C2×C83⋊#95C2211yescharacteristic, complemented
172#95×D83C2211yescharacteristic, complemented
173C24×C4×C83C2211yescharacteristic
174C2×#120×C83C2211yescharacteristic
175C2×C4×D4×C83C2211yescharacteristic
176C2×C4×D4×C83C2211yescharacteristic
177C2×C4×D4×C83C2211yescharacteristic
178#386×C83C2211yescharacteristic
179#386×C83C2211yescharacteristic
180#386×C83C2211yescharacteristic
181#385×C83C2211yescharacteristic
182#385×C83C2211yescharacteristic
183#385×C83C2211yescharacteristic
184#379×C83C2211yescharacteristic
185C4×C22⋊C4×C83C2211yescharacteristic
186C4×C22⋊C4×C83C2211yescharacteristic
187C4×C22⋊C4×C83C2211yescharacteristic
188C22×D332C2311yescharacteristic
189C22×C22⋊D83C2311yescharacteristic
190C22×C22⋊D83C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C23×Dic83C2311yescharacteristic
198C23×Dic83C2311yescharacteristic
199C22×C4×D83C2311yescharacteristic
200C22×C4×D83C2311yescharacteristic
201C22×C4×D83C2311yescharacteristic
202C22×C4×D83C2311yescharacteristic
203C22×C4×D83C2311yescharacteristic
204C22×C4×D83C2311yescharacteristic
205#14581788C2×C418yescomplemented
206#14581785C2×C418yescomplemented
207#14581785C2×C418yescomplemented
208#14581774C2×C418yescomplemented
209#14581774C2×C418yescomplemented
210#14581773C2×C418yescomplemented
211#14581765C2×C418yescomplemented
212#14581765C2×C418yescomplemented
213#14581764C2×C418yescomplemented
214#14581764C2×C418yescomplemented
215#14581763C2×C418yescomplemented
216#14581763C2×C418yescomplemented
217#14581761C2×C418yescomplemented
218#14581761C2×C418yescomplemented
219#14581754—42no—
220C4×C22⋊D83—42no—
221C4×C22⋊D83—42no—
222C4×C22⋊D83—42no—
223C4×C22⋊D83—42no—
224C4×C22⋊D83—42no—
225C4×C22⋊D83—42no—
226C4×C22⋊D83—42no—
227(C22⋊D83)⋊C4—42no—
228#14581749—42no—
229#14581748—42no—
230C2×C4⋊Dic83C2311yescharacteristic
231C2×C4⋊Dic83C2311yescharacteristic
232C2×C4⋊Dic83C2311yescharacteristic
233C2×C4⋊Dic83C2311yescharacteristic
234C2×C4⋊Dic83C2311yescharacteristic
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
250C2×Dic83⋊C4C2311yescharacteristic
251C4⋊C4×D83—42no—
252C2×C22⋊Dic83C2311yescharacteristic
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×C22⋊Dic83C2311yescharacteristic
256C2×C22⋊Dic83C2311yescharacteristic
257C2×C22⋊Dic83C2311yescharacteristic
258C2×C22⋊Dic83C2311yescharacteristic
259C2×C22⋊Dic83C2311yescharacteristic
260C2×C22⋊Dic83C2311yescharacteristic
261C2×C22⋊Dic83C2311yescharacteristic
262C2×C22⋊Dic83C2311yescharacteristic
263C2×C22⋊Dic83C2311yescharacteristic
264C2×C22⋊Dic83C2311yescharacteristic
265C2×C22⋊Dic83C2311yescharacteristic
266C2×C22⋊Dic83C2311yescharacteristic
267C2×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×C22⋊Dic83C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×C22⋊Dic83C2311yescharacteristic
272C2×C22⋊Dic83C2311yescharacteristic
273C2×C22⋊Dic83C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×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
298C2×C4×Dic83C2311yescharacteristic
299C2×C4×Dic83C2311yescharacteristic
300C2×C4×Dic83C2311yescharacteristic
301C2×C4×Dic83C2311yescharacteristic
302C2×C4×Dic83C2311yescharacteristic
303C2×C4×Dic83C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C25×C83C2311yescharacteristic
335C22×D4×C83C2311yescharacteristic
336C22×D4×C83C2311yescharacteristic
337C22×D4×C83C2311yescharacteristic
338C23×C4×C83—42no—
339C23×C4×C83—42no—
340C23×C4×C83—42no—
341C23×C4×C83C2311yescharacteristic
342C23×C4×C83C2311yescharacteristic
343C23×C4×C83C2311yescharacteristic
344C23×C4×C83C2311yescharacteristic
345C23×C4×C83C2311yescharacteristic
346C23×C4×C83C2311yescharacteristic
347C23×C4×C83C2311yescharacteristic
348#120×C83C2×C418yescomplemented
349C4×D4×C83—42no—
350C4×D4×C83—42no—
351C4×D4×C83—42no—
352C2×C4⋊C4×C83C2311yescharacteristic
353C2×C4⋊C4×C83C2311yescharacteristic
354C2×C4⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C22⋊C4×C83C2311yescharacteristic
358C2×C22⋊C4×C83C2311yescharacteristic
359C2×C22⋊C4×C83C2311yescharacteristic
360C2×C22⋊C4×C83C2311yescharacteristic
361C2×C22⋊C4×C83C2311yescharacteristic
362C2×C22⋊C4×C83C2311yescharacteristic
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×D83C2411yescharacteristic
377C23×D83C2411yescharacteristic
378C2×D332—41no—
379C2×D332—41no—
380C2×D332C22×C414yescomplemented
381C2×C22⋊D83—41no—
382C2×C22⋊D83—41no—
383C2×C22⋊D83—41no—
384C2×C22⋊D83—41no—
385C2×C22⋊D83—41no—
386C2×C22⋊D83—41no—
387C2×C22⋊D83—41no—
388C2×C22⋊D83—41no—
389C2×C22⋊D83—41no—
390C2×C22⋊D83—41no—
391C2×C22⋊D83—41no—
392C2×C22⋊D83—41no—
393C2×C22⋊D83—41no—
394C2×C22⋊D83—41no—
395C2×C22⋊D83—41no—
396C2×C22⋊D83—41no—
397C2×C22⋊D83C22×C414yes—
398C2×C22⋊D83C22×C414yes—
399C2×C22⋊D83C22×C414yes—
400C2×C22⋊D83C22×C414yes—
401C2×C22⋊D83C22×C414yes—
402C2×C22⋊D83C22×C414yes—
403C2×C22⋊D83C22×C414yescomplemented
404C2×C22⋊D83C22×C414yescomplemented
405C22×Dic83—41no—
406C22×Dic83—41no—
407C22×Dic83—41no—
408C22×Dic83—41no—
409C22×Dic83—41no—
410C22×Dic83C22×C414yescomplemented
411C22×Dic83C2411yescharacteristic
412C22×Dic83C2411yescharacteristic
413C22×Dic83C2411yescharacteristic
414C22×Dic83C2411yescharacteristic
415C22×Dic83C2411yescharacteristic
416C22×Dic83C2411yescharacteristic
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C2×C4×D83—22no—
426C2×C4×D83—22no—
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—41no—
436C2×C4×D83—41no—
437C2×C4×D83—41no—
438C2×C4×D83—41no—
439C2×C4×D83—41no—
440C2×C4×D83—41no—
441C2×C4×D83C22×C414yescomplemented
442C2×C4×D83C22×C414yescomplemented
443C4⋊Dic83—41no—
444C4⋊Dic83—41no—
445C4⋊Dic83—41no—
446C4⋊Dic83C22×C414yescomplemented
447C4⋊Dic83C22×C414yescomplemented
448Dic83⋊C4—22no—
449Dic83⋊C4—22no—
450Dic83⋊C4—22no—
451Dic83⋊C4—22no—
452Dic83⋊C4—41no—
453Dic83⋊C4—41no—
454Dic83⋊C4—41no—
455Dic83⋊C4—41no—
456Dic83⋊C4—41no—
457Dic83⋊C4—41no—
458Dic83⋊C4—41no—
459Dic83⋊C4—41no—
460Dic83⋊C4C22×C414yescomplemented
461Dic83⋊C4C22×C414yescomplemented
462Dic83⋊C4C22×C414yescomplemented
463Dic83⋊C4C22×C414yescomplemented
464C22⋊Dic83—41no—
465C22⋊Dic83—41no—
466C22⋊Dic83—41no—
467C22⋊Dic83—41no—
468C22⋊Dic83—41no—
469C22⋊Dic83—41no—
470C22⋊Dic83—41no—
471C22⋊Dic83—41no—
472C22⋊Dic83—41no—
473C22⋊Dic83—41no—
474C22⋊Dic83—41no—
475C22⋊Dic83—41no—
476C22⋊Dic83—41no—
477C22⋊Dic83—41no—
478C22⋊Dic83—41no—
479C22⋊Dic83C22×C414yes—
480C22⋊Dic83C22×C414yes—
481C22⋊Dic83C22×C414yes—
482C22⋊Dic83C22×C414yes—
483C22⋊Dic83C22×C414yes—
484C22⋊Dic83C22×C414yes—
485C22⋊Dic83C22×C414yescomplemented
486(C2×D83)⋊C4—22no—
487(C2×D83)⋊C4—22no—
488(C2×D83)⋊C4—22no—
489(C2×D83)⋊C4—22no—
490(C2×D83)⋊C4—41no—
491(C2×D83)⋊C4—41no—
492(C2×D83)⋊C4—41no—
493(C2×D83)⋊C4—41no—
494(C2×D83)⋊C4—41no—
495(C2×D83)⋊C4—41no—
496(C2×D83)⋊C4—41no—
497(C2×D83)⋊C4—41no—
498(C2×D83)⋊C4C22×C414yescomplemented
499(C2×D83)⋊C4C22×C414yescomplemented
500C4×Dic83—22no—
501C4×Dic83—22no—
502C4×Dic83—41no—
503C4×Dic83—41no—
504C4×Dic83—41no—
505C4×Dic83—41no—
506C4×Dic83—41no—
507C4×Dic83—41no—
508C4×Dic83—41no—
509C4×Dic83—41no—
510C4×Dic83—41no—
511C4×Dic83—41no—
512C4×Dic83—41no—
513C4×Dic83—41no—
514C4×Dic83—41no—
515C4×Dic83C22×C414yescomplemented
516C24×C83—41no—
517C24×C83—41no—
518C24×C83—41no—
519C24×C83—41no—
520C24×C83—41no—
521C24×C83—41no—
522C24×C83C22×C414yes—
523C24×C83C2411yescharacteristic
524C24×C83C2411yescharacteristic
525C24×C83C2411yescharacteristic
526C24×C83C2411yescharacteristic
527C2×D4×C83—41no—
528C2×D4×C83—41no—
529C2×D4×C83—41no—
530C2×D4×C83—41no—
531C2×D4×C83—41no—
532C2×D4×C83—41no—
533C2×D4×C83C22×C414yes—
534C2×D4×C83C22×C414yes—
535C2×D4×C83C22×C414yes—
536C22×C4×C83—22no—
537C22×C4×C83—22no—
538C22×C4×C83—22no—
539C22×C4×C83—22no—
540C22×C4×C83—22no—
541C22×C4×C83—22no—
542C22×C4×C83—22no—
543C22×C4×C83—22no—
544C22×C4×C83—22no—
545C22×C4×C83—22no—
546C22×C4×C83—41no—
547C22×C4×C83—41no—
548C22×C4×C83—41no—
549C22×C4×C83—41no—
550C22×C4×C83—41no—
551C22×C4×C83—41no—
552C22×C4×C83—41no—
553C22×C4×C83—41no—
554C22×C4×C83—41no—
555C22×C4×C83—41no—
556C22×C4×C83—41no—
557C22×C4×C83—416no—
558C22×C4×C83C2411yescharacteristic
559C22×C4×C83C2411yescharacteristic
560C22×C4×C83C2411yescharacteristic
561C22×C4×C83C2411yescharacteristic
562C22×C4×C83C2411yescharacteristic
563C22×C4×C83C2411yescharacteristic
564C22×C4×C83C2411yescharacteristic
565C22×C4×C83C2411yescharacteristic
566C22×C4×C83C2411yescharacteristic
567C22×C4×C83C2411yescharacteristic
568C22×C4×C83C2411yescharacteristic
569C4⋊C4×C83—22no—
570C4⋊C4×C83—22no—
571C4⋊C4×C83—41no—
572C22⋊C4×C83—22no—
573C22⋊C4×C83—22no—
574C22⋊C4×C83—41no—
575C22⋊C4×C83—41no—
576C22⋊C4×C83—41no—
577C22⋊C4×C83—41no—
578C22⋊C4×C83—41no—
579C22⋊C4×C83—41no—
580C22⋊C4×C83—41no—
581C22⋊C4×C83C22×C414yes—
582C22⋊C4×C83C22×C414yes—
583C22⋊C4×C83C22×C414yes—
584C42×C83—22no—
585C42×C83—41no—
586C42×C83—41no—
587C23×C83—21no—
588C23×C83—21no—
589C23×C83—21no—
590C23×C83—21no—
591C23×C83—21no—
592C23×C83—21no—
593C23×C83—21no—
594C23×C83—21no—
595C23×C83—21no—
596C23×C83—21no—
597C23×C83—21no—
598C23×C83—21no—
599C23×C83—21no—
600C23×C83—21no—
601C23×C83—21no—
602C23×C83—21no—
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—44no—
612C23×C83—44no—
613C23×C83—44no—
614C23×C83—44no—
615C23×C83—44no—
616C23×C83—44no—
617C23×C83—44no—
618C23×C83C23×C412yes—
619C23×C83C23×C412yes—
620C23×C83C23×C412yes—
621C23×C83C23×C412yes—
622C23×C83C2511yescharacteristic
623C22×D83—21no—
624C22×D83—21no—
625C22×D83—21no—
626C22×D83—21no—
627C22×D83—21no—
628C22×D83—21no—
629C22×D83—21no—
630C22×D83—21no—
631C22×D83—21no—
632C22×D83—21no—
633C22×D83—21no—
634C22×D83—21no—
635C22×D83C23×C412yes—
636C22×D83C23×C412yes—
637D4×C83—44no—
638D4×C83—44no—
639D4×C83—44no—
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—44no—
671C2×C4×C83—44no—
672C2×C4×C83—44no—
673C2×C4×C83—82no—
674C2×C4×C83C23×C412yes—
675C2×C4×C83C23×C412yes—
676C2×C4×C83C23×C412yes—
677C2×C4×C83H(5,𝔽2)12yes—
678C2×C4×C83H(5,𝔽2)12yes—
679C2×C4×C83H(5,𝔽2)12yes—
680C22⋊D83—44no—
681C22⋊D83—44no—
682C22⋊D83—44no—
683C22⋊D83—44no—
684C22⋊D83—44no—
685C22⋊D83—44no—
686C22⋊D83—44no—
687C22⋊D83—44no—
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—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—44no—
725C2×Dic83—82no—
726C2×Dic83C23×C412yes—
727C2×Dic83C23×C412yes—
728C2×Dic83C23×C412yes—
729C2×Dic83C23×C412yes—
730C2×Dic83C23×C412yes—
731C2×Dic83C23×C412yes—
732D332—44no—
733C4×D83—44no—
734C4×D83—44no—
735C4×D83—82no—
736C4×D83—82no—
737C4×D83—82no—
738C4×D83—82no—
739C22×C83—22no—
740C22×C83—22no—
741C22×C83—22no—
742C22×C83—22no—
743C22×C83—22no—
744C22×C83—22no—
745C22×C83—22no—
746C22×C83—22no—
747C22×C83—22no—
748C22×C83—22no—
749C22×C83—22no—
750C22×C83—22no—
751C22×C83—416no—
752C22×C83—41no—
753C22×C83—41no—
754C22×C83—41no—
755C22×C83—41no—
756C22×C83—41no—
757C22×C83—41no—
758C22×C83—41no—
759C22×C83—41no—
760C22×C83—41no—
761C22×C83—41no—
762C22×C83—41no—
763C22×C83—41no—
764C22×C83—41no—
765C22×C83—41no—
766C22×C83—41no—
767C22×C83—41no—
768C22×C83C24×C411yescharacteristic
769C22×C83C2×H(5,𝔽2)11yescharacteristic
770C22×C83C2×H(5,𝔽2)11yescharacteristic
771C22×C83C2×H(5,𝔽2)11yescharacteristic
772C22×C83#58511yescharacteristic
773C22×C83#58511yescharacteristic
774C22×C83#58511yescharacteristic
775C2×D83—22no—
776C2×D83—22no—
777C2×D83—22no—
778C2×D83—22no—
779C2×D83—22no—
780C2×D83—22no—
781C2×D83—41no—
782C2×D83—41no—
783C2×D83—41no—
784C2×D83—41no—
785C2×D83—41no—
786C2×D83—41no—
787C2×D83—41no—
788C2×D83—41no—
789C4×C83—22no—
790C4×C83—22no—
791C4×C83—22no—
792C4×C83—22no—
793C4×C83—22no—
794C4×C83—22no—
795C4×C83—41no—
796C4×C83—41no—
797C4×C83—41no—
798C4×C83—41no—
799C4×C83—41no—
800Dic83—22no—
801Dic83—22no—
802Dic83—22no—
803Dic83—22no—
804Dic83—22no—
805Dic83—22no—
806Dic83—41no—
807Dic83—41no—
808Dic83—41no—
809Dic83—41no—
810Dic83—41no—
811Dic83—41no—
812Dic83—41no—
813Dic83—41no—
814#34511—831nomaximal, Sylow
815C2×C83—42no—
816C2×C83—42no—
817C2×C83—42no—
818C2×C83—42no—
819C2×C83C4×H(5,𝔽2)11yescharacteristic
820C2×C83C4×H(5,𝔽2)11yescharacteristic
821C2×C83C4×H(5,𝔽2)11yescharacteristic
822C2×C83#353211yescharacteristic
823C2×C83#353911yescharacteristic
824C2×C83#353911yescharacteristic
825C2×C83#354011yescharacteristic
826D83—42no—
827D83—42no—
828C2×#560—831no—
829#2375—831no—
830#2375—831no—
831#2375—831no—
832#2374—831no—
833#2373—831no—
834#2373—831no—
835#2366—831no—
836#2364—831no—
837#2364—831no—
838#2363—831no—
839#2363—831no—
840#2361—831no—
841#2361—831no—
842#2359—831no—
843#2359—831no—
844#2335—831no—
845#2335—831no—
846#2334—831no—
847#2334—831no—
848#2333—831no—
849#2333—831no—
850#2328—831no—
851#2325—831no—
852#2325—831no—
853#2324—831no—
854#2324—831no—
855#2322—831no—
856C4×#120—831no—
857C4×#120—831no—
858C4×#120D8311yescharacteristic, complemented
859C83#3451111yescharacteristic, complemented, Sylow
860C24×C4C2×D8311yescharacteristic
861#560—8316no—
862C2×#127—831no—
863C2×#126—831no—
864C2×#126—831no—
865C2×#123—831no—
866C2×#123—831no—
867C2×#123—831no—
868C2×#121—831no—
869C2×#121—831no—
870C2×#121—831no—
871C2×#121—831no—
872C2×#121—831no—
873C2×#121—831no—
874C2×#120—831no—
875C2×#120—831no—
876C2×#120C2×D8311yescharacteristic
877C2×C4×D4—831no—
878C2×C4×D4—831no—
879C2×C4×D4—831no—
880C2×C4×D4—831no—
881C2×C4×D4—831no—
882C2×C4×D4—831no—
883C2×C4×D4—831no—
884C2×C4×D4—831no—
885C2×C4×D4—831no—
886C2×C4×D4C2×D8311yescharacteristic
887C2×C4×D4C2×D8311yescharacteristic
888C2×C4×D4C2×D8311yescharacteristic
889C2×#117—831no—
890C2×#117—831no—
891C22×C4⋊C4—831no—
892#390—831no—
893#390—831no—
894#390—831no—
895#390—831no—
896#390—831no—
897#390—831no—
898#390—831no—
899#390—831no—
900#390—831no—
901#390—831no—
902#390—831no—
903#390—831no—
904#389—831no—
905#389—831no—
906#389—831no—
907#389—831no—
908#389—831no—
909#389—831no—
910#388—831no—
911#388—831no—
912#388—831no—
913#388—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#387—831no—
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#387—831no—
944#387—831no—
945#387—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#386—831no—
962#386—831no—
963#386—831no—
964#386—831no—
965#386—831no—
966#386—831no—
967#386C2×D8311yescharacteristic
968#386C2×D8311yescharacteristic
969#386C2×D8311yescharacteristic
970#385—831no—
971#385—831no—
972#385—831no—
973#385—831no—
974#385—831no—
975#385—831no—
976#385—831no—
977#385—831no—
978#385—831no—
979#385C2×D8311yescharacteristic
980#385C2×D8311yescharacteristic
981#385C2×D8311yescharacteristic
982#382—831no—
983#381—831no—
984#380—831no—
985#380—831no—
986#379—831no—
987#379—831no—
988#379C2×D8311yescharacteristic
989C4×C4⋊C4—831no—
990C4×C4⋊C4—831no—
991C4×C4⋊C4—831no—
992C4×C4⋊C4—831no—
993C4×C4⋊C4—831no—
994C4×C4⋊C4—831no—
995C4×C4⋊C4—831no—
996C4×C4⋊C4—831no—
997C4×C22⋊C4—831no—
998C4×C22⋊C4—831no—
999C4×C22⋊C4—831no—
1000C4×C22⋊C4—831no—
1001C4×C22⋊C4—831no—
1002C4×C22⋊C4—831no—
1003C4×C22⋊C4—831no—
1004C4×C22⋊C4—831no—
1005C4×C22⋊C4—831no—
1006C4×C22⋊C4—831no—
1007C4×C22⋊C4—831no—
1008C4×C22⋊C4—831no—
1009C4×C22⋊C4—831no—
1010C4×C22⋊C4C2×D8311yescharacteristic
1011C4×C22⋊C4C2×D8311yescharacteristic
1012C4×C22⋊C4C2×D8311yescharacteristic
1013#376—831no—
1014C2×#95—831no—
1015C2×#95—831no—
1016C25C22×D8311yescharacteristic
1017C22×D4—831no—
1018C22×D4—831no—
1019C22×D4—831no—
1020C22×D4—831no—
1021C22×D4—831no—
1022C22×D4—831no—
1023C22×D4—831no—
1024C22×D4—831no—
1025C22×D4—831no—
1026C22×D4C22×D8311yescharacteristic
1027C22×D4C22×D8311yescharacteristic
1028C22×D4C22×D8311yescharacteristic
1029C23×C4—42no—
1030C23×C4—42no—
1031C23×C4—42no—
1032C23×C4—831no—
1033C23×C4—831no—
1034C23×C4—831no—
1035C23×C4—831no—
1036C23×C4—831no—
1037C23×C4—831no—
1038C23×C4—831no—
1039C23×C4—831no—
1040C23×C4C22×D8311yescharacteristic
1041C23×C4C22×D8311yescharacteristic
1042C23×C4C22×D8311yescharacteristic
1043C23×C4C22×D8311yescharacteristic
1044C23×C4C22×D8311yescharacteristic
1045C23×C4C22×D8311yescharacteristic
1046C23×C4C22×D8311yescharacteristic
1047#127—838no—
1048#126—838no—
1049#126—838no—
1050#123—838no—
1051#123—838no—
1052#123—838no—
1053#121—838no—
1054#121—838no—
1055#121—838no—
1056#121—838no—
1057#121—838no—
1058#121—838no—
1059#120—838no—
1060#120—838no—
1061#120C4×D8318yescomplemented
1062C4×D4—42no—
1063C4×D4—42no—
1064C4×D4—42no—
1065C4×D4—3322no—
1066C4×D4—3322no—
1067C4×D4—3322no—
1068C4×D4—3322no—
1069C4×D4—3322no—
1070C4×D4—3322no—
1071C4×D4—3322no—
1072C4×D4—3322no—
1073C4×D4—3322no—
1074#117—3322no—
1075#117—3322no—
1076C2×C4⋊C4—3322no—
1077C2×C4⋊C4—831no—
1078C2×C4⋊C4—831no—
1079C2×C4⋊C4—831no—
1080C2×C4⋊C4—831no—
1081C2×C4⋊C4—831no—
1082C2×C4⋊C4—831no—
1083C2×C4⋊C4—831no—
1084C2×C4⋊C4—831no—
1085C2×C4⋊C4—831no—
1086C2×C4⋊C4—831no—
1087C2×C4⋊C4—831no—
1088C2×C4⋊C4—831no—
1089C2×C4⋊C4—831no—
1090C2×C4⋊C4—831no—
1091C2×C4⋊C4—831no—
1092C2×C4⋊C4—831no—
1093C2×C4⋊C4—831no—
1094C2×C4⋊C4—831no—
1095C2×C4⋊C4—831no—
1096C2×C4⋊C4—831no—
1097C2×C4⋊C4—831no—
1098C2×C4⋊C4C22×D8311yescharacteristic
1099C2×C4⋊C4C22×D8311yescharacteristic
1100C2×C4⋊C4C22×D8311yescharacteristic
1101C2×C22⋊C4—831no—
1102C2×C22⋊C4—831no—
1103C2×C22⋊C4—831no—
1104C2×C22⋊C4—831no—
1105C2×C22⋊C4—831no—
1106C2×C22⋊C4—831no—
1107C2×C22⋊C4—831no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—831no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—831no—
1118C2×C22⋊C4—831no—
1119C2×C22⋊C4—831no—
1120C2×C22⋊C4—831no—
1121C2×C22⋊C4—831no—
1122C2×C22⋊C4—831no—
1123C2×C22⋊C4—831no—
1124C2×C22⋊C4—831no—
1125C2×C22⋊C4—831no—
1126C2×C22⋊C4—831no—
1127C2×C22⋊C4—831no—
1128C2×C22⋊C4—831no—
1129C2×C22⋊C4—831no—
1130C2×C22⋊C4—831no—
1131C2×C22⋊C4—831no—
1132C2×C22⋊C4—831no—
1133C2×C22⋊C4—831no—
1134C2×C22⋊C4—831no—
1135C2×C22⋊C4—831no—
1136C2×C22⋊C4—831no—
1137C2×C22⋊C4C22×D8311yescharacteristic
1138C2×C22⋊C4C22×D8311yescharacteristic
1139C2×C22⋊C4C22×D8311yescharacteristic
1140C2×C22⋊C4C22×D8311yescharacteristic
1141C2×C22⋊C4C22×D8311yescharacteristic
1142C2×C22⋊C4C22×D8311yescharacteristic
1143C2×C22⋊C4C22×D8311yescharacteristic
1144C2×C22⋊C4C22×D8311yescharacteristic
1145C2×C22⋊C4C22×D8311yescharacteristic
1146C2×C22⋊C4C22×D8311yescharacteristic
1147C2×C22⋊C4C22×D8311yescharacteristic
1148C2×C22⋊C4C22×D8311yescharacteristic
1149C2×C42—831no—
1150C2×C42—831no—
1151C2×C42—831no—
1152C2×C42—831no—
1153C2×C42—831no—
1154C2×C42—831no—
1155C2×C42—831no—
1156C2×C42—831no—
1157C2×C42—831no—
1158C2×C42—831no—
1159C2×C42—831no—
1160C2×C42—831no—
1161C2×C42—831no—
1162C2×C42—831no—
1163C2×C42—831no—
1164C2×C42—831no—
1165C2×C42C22×D8311yescharacteristic
1166C2×C42C22×D8311yescharacteristic
1167C2×C42C22×D8311yescharacteristic
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#95—831no—
1177#95—831no—
1178#95—831no—
1179#95—831no—
1180#95—831no—
1181#95—831no—
1182#95—831no—
1183#95—831no—
1184#95—831no—
1185#95—831no—
1186#95—831no—
1187#95—831no—
1188#95—831no—
1189#95—831no—
1190#95—831no—
1191#95—831no—
1192#95—831no—
1193#95—831no—
1194#95—831no—
1195#95—831no—
1196#95—831no—
1197#95—831no—
1198#95C22×D8311yescharacteristic
1199#95C22×D8311yescharacteristic
1200#95C22×D8311yescharacteristic
1201#95C22×D8311yescharacteristic
1202#95C22×D8311yescharacteristic
1203#95C22×D8311yescharacteristic
1204C24—41no—
1205C24—41no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24—41no—
1210C24—831no—
1211C24—831no—
1212C24C2×C4×D8314yes—
1213C24C23×D8311yescharacteristic
1214C24C23×D8311yescharacteristic
1215C24C23×D8311yescharacteristic
1216C24C23×D8311yescharacteristic
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—3321no—
1224C2×D4—3321no—
1225C2×D4—3321no—
1226C2×D4—3321no—
1227C2×D4—3321no—
1228C2×D4—3321no—
1229C2×D4—3321no—
1230C2×D4—3321no—
1231C2×D4—3321no—
1232C2×D4—3321no—
1233C2×D4—3321no—
1234C2×D4—3321no—
1235C2×D4—3321no—
1236C2×D4—3321no—
1237C2×D4—3321no—
1238C2×D4—3321no—
1239C2×D4—3321no—
1240C2×D4—3321no—
1241C2×D4—834no—
1242C2×D4—834no—
1243C2×D4—834no—
1244C2×D4—834no—
1245C2×D4—834no—
1246C2×D4—834no—
1247C2×D4—834no—
1248C2×D4—834no—
1249C2×D4—834no—
1250C2×D4C2×C4×D8314yes—
1251C2×D4C2×C4×D8314yes—
1252C2×D4C2×C4×D8314yes—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—416no—
1275C22×C4—3321no—
1276C22×C4—3321no—
1277C22×C4—3321no—
1278C22×C4—3321no—
1279C22×C4—3321no—
1280C22×C4—3321no—
1281C22×C4—3321no—
1282C22×C4—3321no—
1283C22×C4—3321no—
1284C22×C4—3321no—
1285C22×C4—3321no—
1286C22×C4—3321no—
1287C22×C4—3321no—
1288C22×C4—3321no—
1289C22×C4—3321no—
1290C22×C4—3321no—
1291C22×C4—3321no—
1292C22×C4—3321no—
1293C22×C4—3321no—
1294C22×C4—834no—
1295C22×C4—834no—
1296C22×C4—834no—
1297C22×C4—831no—
1298C22×C4—831no—
1299C22×C4—831no—
1300C22×C4—831no—
1301C22×C4—831no—
1302C22×C4—831no—
1303C22×C4—831no—
1304C22×C4—831no—
1305C22×C4—831no—
1306C22×C4—831no—
1307C22×C4—831no—
1308C22×C4—831no—
1309C22×C4—831no—
1310C22×C4—831no—
1311C22×C4—1662no—
1312C22×C4—1662no—
1313C22×C4C23×D8311yescharacteristic
1314C22×C4C23×D8311yescharacteristic
1315C22×C4C23×D8311yescharacteristic
1316C22×C4C23×D8311yescharacteristic
1317C22×C4C23×D8311yescharacteristic
1318C22×C4C23×D8311yescharacteristic
1319C22×C4C23×D8311yescharacteristic
1320C22×C4C23×D8311yescharacteristic
1321C22×C4C23×D8311yescharacteristic
1322C22×C4C23×D8311yescharacteristic
1323C22×C4C23×D8311yescharacteristic
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—41no—
1327C4⋊C4—3321no—
1328C4⋊C4—3321no—
1329C4⋊C4—3321no—
1330C4⋊C4—3321no—
1331C4⋊C4—3321no—
1332C4⋊C4—3321no—
1333C4⋊C4—3321no—
1334C4⋊C4—3321no—
1335C4⋊C4—3321no—
1336C4⋊C4—3321no—
1337C4⋊C4—3321no—
1338C4⋊C4—834no—
1339C4⋊C4—834no—
1340C4⋊C4—834no—
1341C4⋊C4—834no—
1342C4⋊C4—834no—
1343C4⋊C4—834no—
1344C4⋊C4—1662no—
1345C4⋊C4—1662no—
1346C4⋊C4—1662no—
1347C4⋊C4—1662no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—3321no—
1358C22⋊C4—3321no—
1359C22⋊C4—3321no—
1360C22⋊C4—3321no—
1361C22⋊C4—3321no—
1362C22⋊C4—3321no—
1363C22⋊C4—3321no—
1364C22⋊C4—3321no—
1365C22⋊C4—3321no—
1366C22⋊C4—3321no—
1367C22⋊C4—3321no—
1368C22⋊C4—3321no—
1369C22⋊C4—3321no—
1370C22⋊C4—3321no—
1371C22⋊C4—3321no—
1372C22⋊C4—3321no—
1373C22⋊C4—3321no—
1374C22⋊C4—3321no—
1375C22⋊C4—3321no—
1376C22⋊C4—3321no—
1377C22⋊C4—3321no—
1378C22⋊C4—3321no—
1379C22⋊C4—3321no—
1380C22⋊C4—834no—
1381C22⋊C4—834no—
1382C22⋊C4—834no—
1383C22⋊C4—834no—
1384C22⋊C4—834no—
1385C22⋊C4—834no—
1386C22⋊C4—834no—
1387C22⋊C4—834no—
1388C22⋊C4—834no—
1389C22⋊C4—1662no—
1390C22⋊C4—1662no—
1391C22⋊C4—1662no—
1392C22⋊C4—1662no—
1393C22⋊C4C2×C4×D8314yes—
1394C22⋊C4C2×C4×D8314yes—
1395C22⋊C4C2×C4×D8314yes—
1396C42—22no—
1397C42—41no—
1398C42—41no—
1399C42—3321no—
1400C42—3321no—
1401C42—3321no—
1402C42—3321no—
1403C42—3321no—
1404C42—3321no—
1405C42—3321no—
1406C42—3321no—
1407C42—3321no—
1408C42—3321no—
1409C42—3321no—
1410C42—3321no—
1411C42—3321no—
1412C42—834no—
1413C42—1662no—
1414C42—1662no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—44no—
1440C23—44no—
1441C23—44no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—832no—
1447C23—832no—
1448C23—1661no—
1449C23—1661no—
1450C23—1661no—
1451C23—1661no—
1452C23—1661no—
1453C23—1661no—
1454C23—1661no—
1455C23—1661no—
1456C23—1661no—
1457C23—1661no—
1458C23—1661no—
1459C23—1661no—
1460C23C22×C4×D8312yes—
1461C23C22×C4×D8312yes—
1462C23C22×C4×D8312yes—
1463C23C22×C4×D8312yes—
1464C23C24×D8311yescharacteristic
1465D4—44no—
1466D4—44no—
1467D4—44no—
1468D4—3324no—
1469D4—3324no—
1470D4—3324no—
1471D4—3324no—
1472D4—3324no—
1473D4—3324no—
1474D4—3324no—
1475D4—3324no—
1476D4—3324no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—44no—
1505C2×C4—44no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—82no—
1511C2×C4—3324no—
1512C2×C4—3324no—
1513C2×C4—3324no—
1514C2×C4—832no—
1515C2×C4—832no—
1516C2×C4—832no—
1517C2×C4—832no—
1518C2×C4—832no—
1519C2×C4—832no—
1520C2×C4—6642no—
1521C2×C4—6642no—
1522C2×C4—6642no—
1523C2×C4—6642no—
1524C2×C4—6642no—
1525C2×C4—1661no—
1526C2×C4—1661no—
1527C2×C4—1661no—
1528C2×C4—1661no—
1529C2×C4—1661no—
1530C2×C4—1661no—
1531C2×C4—1661no—
1532C2×C4—1661no—
1533C2×C4—1661no—
1534C2×C4—1661no—
1535C2×C4—1661no—
1536C2×C4—1661no—
1537C2×C4—1661no—
1538C2×C4—1661no—
1539C2×C4—1661no—
1540C2×C4—1661no—
1541C2×C4—1661no—
1542C2×C4—1661no—
1543C2×C4—1661no—
1544C2×C4—1661no—
1545C2×C4—1661no—
1546C2×C4—1661no—
1547C2×C4—1661no—
1548C2×C4—1661no—
1549C2×C4—1661no—
1550C2×C4—1661no—
1551C2×C4—1661no—
1552C2×C4—1661no—
1553C2×C4—1661no—
1554C2×C4—1661no—
1555C2×C4—1661no—
1556C2×C4—1661no—
1557C2×C4—1661no—
1558C2×C4—1661no—
1559C2×C4—1661no—
1560C2×C4—1661no—
1561C2×C4C22×C4×D8312yes—
1562C2×C4C22×C4×D8312yes—
1563C2×C4C22×C4×D8312yes—
1564C2×C4#1458183712yes—
1565C2×C4#1458183712yes—
1566C2×C4#1458183712yes—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—416no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—3321no—
1597C22—3321no—
1598C22—3321no—
1599C22—3321no—
1600C22—3321no—
1601C22—3321no—
1602C22—3321no—
1603C22—3321no—
1604C22—1662no—
1605C22—1662no—
1606C22—1662no—
1607C22—1662no—
1608C22—1662no—
1609C22—1662no—
1610C22C23×C4×D8311yescharacteristic
1611C22C2×#1458183711yescharacteristic
1612C22C2×#1458183711yescharacteristic
1613C22C2×#1458183711yescharacteristic
1614C22#1912853711yescharacteristic
1615C22#1912853711yescharacteristic
1616C22#1912853711yescharacteristic
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—22no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—3321no—
1629C4—3321no—
1630C4—3321no—
1631C4—3321no—
1632C4—3321no—
1633C4—3321no—
1634C4—3321no—
1635C4—3321no—
1636C4—1662no—
1637C4—1662no—
1638C4—1662no—
1639C4—1662no—
1640C4—1662no—
1641C4—1662no—
1642C2—42no—
1643C2—42no—
1644C2—42no—
1645C2—42no—
1646C2—3322no—
1647C2—3322no—
1648C2C4×#1458183711yescharacteristic
1649C2C4×#1458183711yescharacteristic
1650C2C4×#1458183711yescharacteristic
1651C2#2492161811yescharacteristic
1652C2#2492171911yescharacteristic
1653C2#2492172311yescharacteristic
1654C2#2492173111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC4×#120×C83C2
socle, cosocleC23×C83C25
prime radicalC2×#19128440C2
hypercenterC4×#120D83
hypocenterC83#34511
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
2. #24910604C2semidirect
3. #24910602C2semidirect
4. #24910602C2semidirect
5. #24910597C2semidirect
6. #24910585C2semidirect
7. #24910578C2semidirect
8. #24910525C2semidirect
9. #24910512C2semidirect
10. #24910508C2semidirect
11. #24910504C2semidirect
12. #24910502C2semidirect
13. #24910482C2semidirect
14. #24910475C2semidirect
15. #24910456C2semidirect
16. #24910449C2semidirect
17. #24910254C2semidirect
18. #24910248C2semidirect
19. #24910240C2semidirect
20. #24910239C2semidirect
21. #24910224C2semidirect
22. #24910223C2semidirect
23. #24910184C2semidirect
24. #24910161C2semidirect
25. #24910160C2semidirect
26. #24910153C2semidirect
27. #24910150C2semidirect
28. #24910130C2semidirect
29. C4×#14581761C2semidirect
30. C4×#14581761C2semidirect
31. C4×#120×C83C2semidirect
32. #19128440C4semidirect
47. C2×#14581754C22semidirect
54. C2×C4×C22⋊D83C22semidirect
55. C2×(C22⋊D83)⋊C4C22semidirect
56. C2×#14581749C22semidirect
57. C2×#14581748C22semidirect
58. C2×C4⋊C4×D83C22semidirect
62. #19127603C22semidirect
69. #19127601C22semidirect
70. #19127601C22semidirect
71. #19127599C22semidirect
72. #19127598C22semidirect
73. #19127598C22semidirect
74. #19127598C22semidirect
75. #19127597C22semidirect
76. #19127596C22semidirect
83. #19127595C22semidirect
84. #19127595C22semidirect
91. #19127593C22semidirect
92. #19127592C22semidirect
93. #19127591C22semidirect
94. #19127590C22semidirect
101. #19127588C22semidirect
102. #19127586C22semidirect
103. #19127586C22semidirect
104. #19127585C22semidirect
105. #19127585C22semidirect
106. #19127585C22semidirect
107. #19127584C22semidirect
108. #19127584C22semidirect
109. #19127583C22semidirect
110. #19127582C22semidirect
111. #19127582C22semidirect
112. #19127582C22semidirect
122. #19127580C22semidirect
123. #19127579C22semidirect
124. #19127579C22semidirect
125. #19127578C22semidirect
132. #19127577C22semidirect
133. #19127577C22semidirect
134. #19127575C22semidirect
141. #19127574C22semidirect
142. #19127572C22semidirect
143. #19127565C22semidirect
144. #19127563C22semidirect
145. #19127559C22semidirect
146. #19127558C22semidirect
149. C4⋊C4×Dic83C22semidirect
150. C4⋊C4×Dic83C22semidirect
151. C4×Dic83⋊C4C22semidirect
152. C4×Dic83⋊C4C22semidirect
153. C4×C4⋊Dic83C22semidirect
154. #19127552C22semidirect
155. #19127552C22semidirect
156. #19127552C22semidirect
157. C22⋊C4×Dic83C22semidirect
158. C22⋊C4×Dic83C22semidirect
159. C4×(C2×D83)⋊C4C22semidirect
160. C4×(C2×D83)⋊C4C22semidirect
167. #19127548C22semidirect
168. #19127548C22semidirect
169. #19127548C22semidirect
170. #19127546C22semidirect
171. C2×C83⋊#95C22semidirect
172. #95×D83C22semidirect
205. #14581788C2×C4semidirect
206. #14581785C2×C4semidirect
207. #14581785C2×C4semidirect
208. #14581774C2×C4semidirect
209. #14581774C2×C4semidirect
210. #14581773C2×C4semidirect
211. #14581765C2×C4semidirect
212. #14581765C2×C4semidirect
213. #14581764C2×C4semidirect
214. #14581764C2×C4semidirect
215. #14581763C2×C4semidirect
216. #14581763C2×C4semidirect
217. #14581761C2×C4semidirect
218. #14581761C2×C4semidirect
348. #120×C83C2×C4semidirect
380. C2×D332C22×C4semidirect
403. C2×C22⋊D83C22×C4semidirect
404. C2×C22⋊D83C22×C4semidirect
410. C22×Dic83C22×C4semidirect
441. C2×C4×D83C22×C4semidirect
442. C2×C4×D83C22×C4semidirect
446. C4⋊Dic83C22×C4semidirect
447. C4⋊Dic83C22×C4semidirect
460. Dic83⋊C4C22×C4semidirect
461. Dic83⋊C4C22×C4semidirect
462. Dic83⋊C4C22×C4semidirect
463. Dic83⋊C4C22×C4semidirect
485. C22⋊Dic83C22×C4semidirect
498. (C2×D83)⋊C4C22×C4semidirect
499. (C2×D83)⋊C4C22×C4semidirect
515. C4×Dic83C22×C4semidirect
858. C4×#120D83semidirect
859. C83#34511semidirect
1061. #120C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191284402
#249106042
#249106022
#249105972
#249105852
#249105782
#249105252
#249105122
#249105082
#249105042
#249105022
#249104822
#249104752
#249104562
#249104492
#249102542
#249102482
#249102402
#249102392
#249102242
#249102232
#249101842
#249101612
#249101602
#249101532
#249101502
#249101302
C4×#145817612
C4×#120×C832
#3451183