Finite Group Databasebeta

← #35574601

Subgroups — #35574601

Order 21248.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128228C211yesmaximal, characteristic, complemented
2C2×#19128214C211yesmaximal, characteristic, complemented
3#24912610C211yesmaximal, characteristic, complemented
4#24912595C211yesmaximal, characteristic, complemented
5#24912580C211yesmaximal, characteristic, complemented
6#24912565C211yesmaximal, characteristic, complemented
7#24912552C211yesmaximal, characteristic, complemented
8#24912539C211yesmaximal, characteristic, complemented
9#24912530C211yesmaximal, characteristic, complemented
10#24912515C211yesmaximal, characteristic, complemented
11#24912471C211yesmaximal, characteristic, complemented
12#24912427C211yesmaximal, characteristic, complemented
13#24912393C211yesmaximal, characteristic, complemented
14#24912358C211yesmaximal, characteristic, complemented
15#24911589C211yesmaximal, characteristic, complemented
16#24911014C211yesmaximal, characteristic, complemented
17#24911001C211yesmaximal, characteristic, complemented
18#24910736C211yesmaximal, characteristic, complemented
19#24910729C211yesmaximal, characteristic, complemented
20#24910700C211yesmaximal, characteristic, complemented
21#24910680C211yesmaximal, characteristic, complemented
22#24910002C211yesmaximal, characteristic, complemented
23#24909980C211yesmaximal, characteristic, complemented
24#24909975C211yesmaximal, characteristic, complemented
25#24909973C211yesmaximal, characteristic, complemented
26#24909968C211yesmaximal, characteristic, complemented
27#24909952C211yesmaximal, characteristic, complemented
28#24909923C211yesmaximal, characteristic, complemented
29C4×(C22⋊D83)⋊C4C211yesmaximal, characteristic, complemented
30C2×#19127548C211yesmaximal, characteristic, complemented
31C83×#2488C211yesmaximal, characteristic, complemented
32C22×#13050591C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34#19128228—28no—
35C2×#14581787C2211yescharacteristic, complemented
36C2×#14581785C2211yescharacteristic, complemented
37C2×#14581782C2211yescharacteristic, complemented
38C2×#14581780C2211yescharacteristic
39C2×#14581778C2211yescharacteristic, complemented
40#19128214—28no—
41C2×#14581777C2211yescharacteristic
42C2×#14581777C2211yescharacteristic
43C2×#14581775C2211yescharacteristic
44C2×#14581775C2211yescharacteristic
45C2×#14581769C2211yescharacteristic
46C2×#14581768C2211yescharacteristic
47C2×#14581767C2211yescharacteristic
48C2×#14581766C2211yescharacteristic
49C2×#14581765C2211yescharacteristic
50C2×#14581764C2211yescharacteristic
51C2×#14581764C2211yescharacteristic
52C2×#14581762C2211yescharacteristic
53C2×#14581762C2211yescharacteristic
54C2×#14581760C2211yescharacteristic
55C2×#14581757C2211yescharacteristic, complemented
56C2×D4×Dic83C2211yescharacteristic
57C2×#14581754C2211yescharacteristic
58C2×#14581754C2211yescharacteristic
59C2×C4×C22⋊D83C2211yescharacteristic
60C2×(C22⋊D83)⋊C4C2211yescharacteristic
61C2×(C22⋊D83)⋊C4C2211yescharacteristic
62C2×(C22⋊D83)⋊C4C2211yescharacteristic
63C2×(C22⋊D83)⋊C4C2211yescharacteristic
64C2×(C22⋊D83)⋊C4C2211yescharacteristic
65C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
66C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
67C2×#14581750C2211yescharacteristic
68C2×#14581750C2211yescharacteristic, complemented
69C2×#14581748C2211yescharacteristic, complemented
70C22×(C2×D83)⋊C4C2211yescharacteristic
71C22×(C2×D83)⋊C4C2211yescharacteristic
72C22×C4×Dic83C2211yescharacteristic
73C22×C4×Dic83C2211yescharacteristic
74C2×C42×D83C2211yescharacteristic, complemented
75#19127636C2211yescharacteristic
76#19127636C2211yescharacteristic
77#19127635C2211yescharacteristic, complemented
78#19127635C2211yescharacteristic, complemented
79#19127632C2211yescharacteristic, complemented
80#19127631C2211yescharacteristic, complemented
81#19127630C2211yescharacteristic, complemented
82#19127630C2211yescharacteristic, complemented
83#19127628C2211yescharacteristic
84#19127625C2211yescharacteristic
85#19127625C2211yescharacteristic
86#19127625C2211yescharacteristic
87#19127625C2211yescharacteristic, complemented
88#19127621C2211yescharacteristic, complemented
89#19127620C2211yescharacteristic, complemented
90#19127619C2211yescharacteristic
91#19127619C2211yescharacteristic
92#19127619C2211yescharacteristic
93#19127619C2211yescharacteristic
94#19127619C2211yescharacteristic
95#19127619C2211yescharacteristic, complemented
96#19127616C2211yescharacteristic
97#19127616C2211yescharacteristic, complemented
98#19127614C2211yescharacteristic
99#19127610C2211yescharacteristic
100#19127610C2211yescharacteristic
101#19127610C2211yescharacteristic
102#19127610C2211yescharacteristic, complemented
103#19127608C2211yescharacteristic, complemented
104#19127606C2211yescharacteristic, complemented
105#19127603C2211yescharacteristic
106#19127602C2211yescharacteristic
107#19127602C2211yescharacteristic
108#19127601C2211yescharacteristic
109#19127601C2211yescharacteristic
110#19127601C2211yescharacteristic
111#19127601C2211yescharacteristic, complemented
112#19127598C2211yescharacteristic, complemented
113#19127598C2211yescharacteristic, complemented
114#19127596C2211yescharacteristic, complemented
115#19127596C2211yescharacteristic, complemented
116#19127594C2211yescharacteristic, complemented
117#19127593C2211yescharacteristic, complemented
118#19127592C2211yescharacteristic
119#19127592C2211yescharacteristic
120#19127590C2211yescharacteristic
121#19127590C2211yescharacteristic
122#19127590C2211yescharacteristic
123#19127590C2211yescharacteristic, complemented
124#19127590C2211yescharacteristic, complemented
125#19127590C2211yescharacteristic, complemented
126#19127590C2211yescharacteristic, complemented
127#19127589C2211yescharacteristic, complemented
128#19127583C2211yescharacteristic, complemented
129#19127583C2211yescharacteristic, complemented
130#19127580C2211yescharacteristic
131#19127579C2211yescharacteristic
132#19127579C2211yescharacteristic
133#19127579C2211yescharacteristic
134#19127579C2211yescharacteristic, complemented
135#19127579C2211yescharacteristic, complemented
136#19127578C2211yescharacteristic
137#19127577C2211yescharacteristic
138#19127577C2211yescharacteristic
139#19127577C2211yescharacteristic, complemented
140#19127575C2211yescharacteristic
141#19127575C2211yescharacteristic
142#19127574C2211yescharacteristic
143#19127573C2211yescharacteristic
144#19127560C2211yescharacteristic, complemented
145#19127559C2211yescharacteristic
146#19127556C2211yescharacteristic
147C4×Dic83⋊C4C2211yescharacteristic, complemented
148#19127552C2211yescharacteristic, complemented
149#19127552C2211yescharacteristic, complemented
150#19127552C2211yescharacteristic, complemented
151#19127552C2211yescharacteristic, complemented
152#19127552C2211yescharacteristic, complemented
153C22⋊C4×Dic83C2211yescharacteristic
154C22⋊C4×Dic83C2211yescharacteristic
155C22⋊C4×Dic83C2211yescharacteristic, complemented
156C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
157#19127548C2211yescharacteristic
158#19127548C2211yescharacteristic
159#19127548C2211yescharacteristic
160#19127548C2211yescharacteristic
161#19127548C2211yescharacteristic
162#19127548C2211yescharacteristic
163#19127548C2211yescharacteristic
164#19127548C2211yescharacteristic
165#19127548C2211yescharacteristic
166#19127548C2211yescharacteristic
167#19127548C2211yescharacteristic, complemented
168#19127548C2211yescharacteristic, complemented
169#19127548C2211yescharacteristic, complemented
170#19127548C2211yescharacteristic, complemented
171#19127548C2211yescharacteristic, complemented
172C2×C83⋊#95C2211yescharacteristic
173C42×Dic83C2211yescharacteristic, complemented
174C2×#123×C83C2211yescharacteristic
175C2×C22⋊Q8×C83C2211yescharacteristic
176#400×C83C2211yescharacteristic, complemented
177#400×C83C2211yescharacteristic, complemented
178#397×C83C2211yescharacteristic, complemented
179#393×C83C2211yescharacteristic, complemented
180#391×C83C2211yescharacteristic, complemented
181#388×C83C2211yescharacteristic, complemented
182#388×C83C2211yescharacteristic, complemented
183#386×C83C2211yescharacteristic
184#386×C83C2211yescharacteristic
185#382×C83C2211yescharacteristic, complemented
186#381×C83C2211yescharacteristic
187C4×C22⋊C4×C83C2211yescharacteristic
188C2×#95×C83C2211yescharacteristic
189C24×D83C2311yescharacteristic
190C2×#13050591—24no—
191C2×#13050591—24no—
192C2×#13050591—42no—
193C22×Dic166C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×D332C2311yescharacteristic
196C22×D332C2311yescharacteristic
197C22×D332C2311yescharacteristic
198C22×D332C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C23×Dic83C2311yescharacteristic
206C23×Dic83C2311yescharacteristic
207C23×Dic83C2311yescharacteristic
208C23×Dic83C2311yescharacteristic
209C22×C4×D83—24no—
210C22×C4×D83—24no—
211C22×C4×D83—42no—
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220#14581787—24no—
221#14581785—24no—
222#14581782—24no—
223#14581780—24no—
224#14581778—24no—
225#14581777—24no—
226#14581777—24no—
227#14581775—24no—
228#14581775—24no—
229#14581769—24no—
230#14581768—24no—
231#14581767—24no—
232#14581766—24no—
233#14581765—24no—
234#14581764—24no—
235#14581764—24no—
236#14581762—24no—
237#14581762—24no—
238#14581760—24no—
239#14581757—24no—
240D4×Dic83—24no—
241#14581754—24no—
242#14581754—24no—
243C4×C22⋊D83—24no—
244(C22⋊D83)⋊C4—24no—
245(C22⋊D83)⋊C4—24no—
246(C22⋊D83)⋊C4—24no—
247(C22⋊D83)⋊C4—24no—
248(C22⋊D83)⋊C4—42no—
249(C22⋊D83)⋊C4—42no—
250(C22⋊D83)⋊C4D418yescomplemented
251#14581750—24no—
252#14581750—24no—
253#14581748—24no—
254C2×C4⋊Dic83C2311yescharacteristic
255C2×C4⋊Dic83C2311yescharacteristic
256C2×C4⋊Dic83C2311yescharacteristic
257C2×Dic83⋊C4C2311yescharacteristic
258C2×Dic83⋊C4C2311yescharacteristic
259C2×Dic83⋊C4C2311yescharacteristic
260C2×Dic83⋊C4C2311yescharacteristic
261C2×Dic83⋊C4C2311yescharacteristic
262C2×Dic83⋊C4C2311yescharacteristic
263C2×Dic83⋊C4C2311yescharacteristic
264C2×Dic83⋊C4C2311yescharacteristic
265C2×Dic83⋊C4C2311yescharacteristic
266C2×Dic83⋊C4C2311yescharacteristic
267C2×Dic83⋊C4C2311yescharacteristic
268C2×Dic83⋊C4C2311yescharacteristic
269C2×Dic83⋊C4C2311yescharacteristic
270C2×Dic83⋊C4C2311yescharacteristic
271C2×Dic83⋊C4C2311yescharacteristic
272C2×Dic83⋊C4C2311yescharacteristic
273C2×Dic83⋊C4C2311yescharacteristic
274C2×Dic83⋊C4C2311yescharacteristic
275C2×C22⋊Dic83C2311yescharacteristic
276C2×C22⋊Dic83C2311yescharacteristic
277C2×C22⋊Dic83C2311yescharacteristic
278C2×C22⋊Dic83C2311yescharacteristic
279C2×C22⋊Dic83C2311yescharacteristic
280C2×(C2×D83)⋊C4—24no—
281C2×(C2×D83)⋊C4—24no—
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C2×(C2×D83)⋊C4C2311yescharacteristic
298C2×(C2×D83)⋊C4C2311yescharacteristic
299C2×(C2×D83)⋊C4C2311yescharacteristic
300C2×(C2×D83)⋊C4C2311yescharacteristic
301C2×(C2×D83)⋊C4C2311yescharacteristic
302C2×(C2×D83)⋊C4C2311yescharacteristic
303C2×(C2×D83)⋊C4C2311yescharacteristic
304C2×(C2×D83)⋊C4C2311yescharacteristic
305C2×(C2×D83)⋊C4C2311yescharacteristic
306C2×(C2×D83)⋊C4C2311yescharacteristic
307C2×(C2×D83)⋊C4C2311yescharacteristic
308C2×(C2×D83)⋊C4C2311yescharacteristic
309C2×(C2×D83)⋊C4C2311yescharacteristic
310C2×(C2×D83)⋊C4C2311yescharacteristic
311C2×(C2×D83)⋊C4C2311yescharacteristic
312C2×(C2×D83)⋊C4C2311yescharacteristic
313C2×(C2×D83)⋊C4C2311yescharacteristic
314C2×(C2×D83)⋊C4C2311yescharacteristic
315C2×(C2×D83)⋊C4C2311yescharacteristic
316C2×C4×Dic83—24no—
317C2×C4×Dic83—42no—
318C2×C4×Dic83C2311yescharacteristic
319C2×C4×Dic83C2311yescharacteristic
320C2×C4×Dic83C2311yescharacteristic
321C2×C4×Dic83C2311yescharacteristic
322C2×C4×Dic83C2311yescharacteristic
323C2×C4×Dic83C2311yescharacteristic
324C2×C4×Dic83C2311yescharacteristic
325C2×C4×Dic83C2311yescharacteristic
326C2×C4×Dic83C2311yescharacteristic
327C2×C4×Dic83C2311yescharacteristic
328C2×C4×Dic83C2311yescharacteristic
329C2×C4×Dic83C2311yescharacteristic
330C2×C4×Dic83C2311yescharacteristic
331C2×C4×Dic83C2311yescharacteristic
332C2×C4×Dic83C2311yescharacteristic
333C2×C4×Dic83C2311yescharacteristic
334C2×C4×Dic83C2311yescharacteristic
335C42×D83—42no—
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C83⋊#95C2311yescharacteristic
341C83⋊#95C2311yescharacteristic
342C83⋊#95C2311yescharacteristic
343C83⋊#95C2311yescharacteristic
344C83⋊#95C2311yescharacteristic
345C83⋊#95C2311yescharacteristic
346C83⋊#95C2311yescharacteristic
347C83⋊#95C2311yescharacteristic
348C83⋊#95C2311yescharacteristic
349C83⋊#95C2311yescharacteristic
350C83⋊#95C2311yescharacteristic
351C83⋊#95C2311yescharacteristic
352C83⋊#95C2311yescharacteristic
353C83⋊#95C2311yescharacteristic
354C22×Q8×C83C2311yescharacteristic
355C22×D4×C83C2311yescharacteristic
356C23×C4×C83C2311yescharacteristic
357C23×C4×C83C2311yescharacteristic
358C23×C4×C83C2311yescharacteristic
359#123×C83—24no—
360C22⋊Q8×C83—24no—
361C2×C4⋊C4×C83C2311yescharacteristic
362C2×C4⋊C4×C83C2311yescharacteristic
363C2×C4⋊C4×C83C2311yescharacteristic
364C2×C4⋊C4×C83C2311yescharacteristic
365C2×C4⋊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×C22⋊C4×C83C2311yescharacteristic
374C2×C22⋊C4×C83C2311yescharacteristic
375C2×C42×C83C2311yescharacteristic
376C2×C42×C83C2311yescharacteristic
377#95×C83C2311yescharacteristic
378#95×C83C2311yescharacteristic
379#95×C83C2311yescharacteristic
380#95×C83C2311yescharacteristic
381#95×C83C2311yescharacteristic
382#95×C83C2311yescharacteristic
383#95×C83C2311yescharacteristic
384#95×C83C2311yescharacteristic
385#95×C83C2311yescharacteristic
386#95×C83C2311yescharacteristic
387#95×C83C2311yescharacteristic
388#95×C83C2311yescharacteristic
389#95×C83C2311yescharacteristic
390#95×C83C2311yescharacteristic
391C23×D83—22no—
392C23×D83—22no—
393C23×D83—22no—
394C23×D83—22no—
395C23×D83—22no—
396C23×D83—41no—
397C23×D83—41no—
398C23×D83C2411yescharacteristic
399C23×D83C2411yescharacteristic
400C23×D83C2411yescharacteristic
401C23×D83C2411yescharacteristic
402#13050591—416no—
403C2×Dic166—22no—
404C2×Dic166—22no—
405C2×Dic166—41no—
406C2×D332—22no—
407C2×D332—22no—
408C2×D332—22no—
409C2×D332—22no—
410C2×D332—22no—
411C2×D332—22no—
412C2×D332—22no—
413C2×D332—22no—
414C2×D332—22no—
415C2×D332—22no—
416C2×D332—41no—
417C2×D332—41no—
418C2×D332—41no—
419C2×D332—41no—
420C2×D332—41no—
421C2×C22⋊D83—22no—
422C2×C22⋊D83—22no—
423C2×C22⋊D83—22no—
424C2×C22⋊D83—22no—
425C2×C22⋊D83—22no—
426C2×C22⋊D83—22no—
427C2×C22⋊D83—22no—
428C2×C22⋊D83—22no—
429C2×C22⋊D83—22no—
430C2×C22⋊D83—22no—
431C2×C22⋊D83—22no—
432C2×C22⋊D83—22no—
433C2×C22⋊D83—41no—
434C2×C22⋊D83—41no—
435C2×C22⋊D83—41no—
436C2×C22⋊D83—41no—
437C2×C22⋊D83—41no—
438C2×C22⋊D83C2×D414yes—
439C22×Dic83—22no—
440C22×Dic83—22no—
441C22×Dic83—22no—
442C22×Dic83—22no—
443C22×Dic83—22no—
444C22×Dic83—22no—
445C22×Dic83—22no—
446C22×Dic83—41no—
447C22×Dic83—41no—
448C22×Dic83—41no—
449C22×Dic83C2×D414yes—
450C22×Dic83#4114yescomplemented
451C22×Dic83C2411yescharacteristic
452C22×Dic83C2411yescharacteristic
453C22×Dic83C2411yescharacteristic
454C22×Dic83C2411yescharacteristic
455C22×Dic83C2411yescharacteristic
456C22×Dic83C2411yescharacteristic
457C22×Dic83C2411yescharacteristic
458C22×Dic83C2411yescharacteristic
459C22×Dic83C2411yescharacteristic
460C22×Dic83C2411yescharacteristic
461C22×Dic83C2411yescharacteristic
462C22×Dic83C2411yescharacteristic
463C2×C4×D83—22no—
464C2×C4×D83—22no—
465C2×C4×D83—22no—
466C2×C4×D83—22no—
467C2×C4×D83—22no—
468C2×C4×D83—22no—
469C2×C4×D83—22no—
470C2×C4×D83—22no—
471C2×C4×D83—22no—
472C2×C4×D83—22no—
473C2×C4×D83—22no—
474C2×C4×D83—22no—
475C2×C4×D83—22no—
476C2×C4×D83—22no—
477C2×C4×D83—22no—
478C2×C4×D83—22no—
479C2×C4×D83—22no—
480C2×C4×D83—416no—
481C2×C4×D83—41no—
482C2×C4×D83—41no—
483C2×C4×D83—41no—
484C2×C4×D83—41no—
485C2×C4×D83—41no—
486C2×C4×D83C2×D414yes—
487C2×C4×D83#4114yes—
488C4⋊Dic83—22no—
489C4⋊Dic83—22no—
490C4⋊Dic83—22no—
491Dic83⋊C4—22no—
492Dic83⋊C4—22no—
493Dic83⋊C4—22no—
494Dic83⋊C4—22no—
495Dic83⋊C4—22no—
496Dic83⋊C4—22no—
497Dic83⋊C4—22no—
498Dic83⋊C4—22no—
499Dic83⋊C4—22no—
500Dic83⋊C4—22no—
501Dic83⋊C4—22no—
502Dic83⋊C4—22no—
503Dic83⋊C4—22no—
504Dic83⋊C4—41no—
505Dic83⋊C4—41no—
506Dic83⋊C4—41no—
507Dic83⋊C4—41no—
508Dic83⋊C4C2×D414yes—
509C22⋊Dic83—22no—
510C22⋊Dic83—22no—
511C22⋊Dic83—22no—
512C22⋊Dic83—22no—
513C22⋊Dic83#4114yescomplemented
514(C2×D83)⋊C4—22no—
515(C2×D83)⋊C4—22no—
516(C2×D83)⋊C4—22no—
517(C2×D83)⋊C4—22no—
518(C2×D83)⋊C4—22no—
519(C2×D83)⋊C4—22no—
520(C2×D83)⋊C4—22no—
521(C2×D83)⋊C4—22no—
522(C2×D83)⋊C4—22no—
523(C2×D83)⋊C4—22no—
524(C2×D83)⋊C4—22no—
525(C2×D83)⋊C4—22no—
526(C2×D83)⋊C4—22no—
527(C2×D83)⋊C4—22no—
528(C2×D83)⋊C4—22no—
529(C2×D83)⋊C4—22no—
530(C2×D83)⋊C4—22no—
531(C2×D83)⋊C4—22no—
532(C2×D83)⋊C4—22no—
533(C2×D83)⋊C4—22no—
534(C2×D83)⋊C4—22no—
535(C2×D83)⋊C4—22no—
536(C2×D83)⋊C4—22no—
537(C2×D83)⋊C4—22no—
538(C2×D83)⋊C4—22no—
539(C2×D83)⋊C4—22no—
540(C2×D83)⋊C4—22no—
541(C2×D83)⋊C4—22no—
542(C2×D83)⋊C4—41no—
543(C2×D83)⋊C4—41no—
544(C2×D83)⋊C4—41no—
545(C2×D83)⋊C4—41no—
546(C2×D83)⋊C4C2×D414yes—
547(C2×D83)⋊C4#4114yescomplemented
548C4×Dic83—22no—
549C4×Dic83—22no—
550C4×Dic83—22no—
551C4×Dic83—22no—
552C4×Dic83—22no—
553C4×Dic83—22no—
554C4×Dic83—22no—
555C4×Dic83—22no—
556C4×Dic83—22no—
557C4×Dic83—22no—
558C4×Dic83—22no—
559C4×Dic83—22no—
560C4×Dic83—41no—
561C4×Dic83—41no—
562C4×Dic83—41no—
563C4×Dic83—41no—
564C4×Dic83C2×D414yes—
565C24×C83C2411yescharacteristic
566C24×C83C2411yescharacteristic
567C2×Q8×C83—22no—
568C2×Q8×C83—22no—
569C2×Q8×C83—41no—
570C2×D4×C83—22no—
571C2×D4×C83—22no—
572C2×D4×C83—22no—
573C22×C4×C83—22no—
574C22×C4×C83—22no—
575C22×C4×C83—22no—
576C22×C4×C83—22no—
577C22×C4×C83—22no—
578C22×C4×C83—22no—
579C22×C4×C83—22no—
580C22×C4×C83—41no—
581C22×C4×C83—41no—
582C22×C4×C83C2411yescharacteristic
583C22×C4×C83C2411yescharacteristic
584C22×C4×C83C2411yescharacteristic
585C22×C4×C83C2411yescharacteristic
586C22×C4×C83C2411yescharacteristic
587C22×C4×C83C2411yescharacteristic
588C22×C4×C83C2411yescharacteristic
589C22×C4×C83C2411yescharacteristic
590C22×C4×C83C2411yescharacteristic
591C22×C4×C83C2411yescharacteristic
592C22×C4×C83C2411yescharacteristic
593C22×C4×C83C2411yescharacteristic
594C22×C4×C83C2411yescharacteristic
595C4⋊C4×C83—22no—
596C4⋊C4×C83—22no—
597C4⋊C4×C83—22no—
598C4⋊C4×C83—22no—
599C4⋊C4×C83—22no—
600C22⋊C4×C83—22no—
601C22⋊C4×C83—22no—
602C22⋊C4×C83—22no—
603C22⋊C4×C83—22no—
604C22⋊C4×C83—22no—
605C22⋊C4×C83—22no—
606C22⋊C4×C83—41no—
607C22⋊C4×C83—41no—
608C22⋊C4×C83C2×D414yes—
609C42×C83—22no—
610C42×C83—41no—
611C23×C83—21no—
612C23×C83—21no—
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×C83C22×D412yes—
623C23×C83C2×#4112yes—
624C23×C83C2×#4112yes—
625C23×C83C2511yescharacteristic
626C22×D83—28no—
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×D83—21no—
636C22×D83—21no—
637C22×D83—21no—
638C22×D83—21no—
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—21no—
652C22×D83—44no—
653C22×D83—44no—
654C22×D83—44no—
655C22×D83—44no—
656C22×D83—44no—
657C22×D83—44no—
658C22×D83C22×D412yes—
659C22×D83C2×#4112yes—
660C22×D83C2×#4112yes—
661Q8×C83—44no—
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—21no—
694C2×C4×C83—21no—
695C2×C4×C83—21no—
696C2×C4×C83—21no—
697C2×C4×C83—21no—
698C2×C4×C83—44no—
699C2×C4×C83—44no—
700C2×C4×C83—44no—
701C2×C4×C83C22×D412yes—
702C2×C4×C83C22×D412yes—
703C2×C4×C83C2×#4112yes—
704C2×C4×C83C2×#4112yes—
705C22⋊D83—28no—
706C22⋊D83—44no—
707C22⋊D83—44no—
708C22⋊D83—44no—
709C22⋊D83—44no—
710C22⋊D83—44no—
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—28no—
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—44no—
739C2×Dic83—44no—
740C2×Dic83—44no—
741C2×Dic83C22×D412yes—
742C2×Dic83C22×D412yes—
743C2×Dic83C22×D412yes—
744C2×Dic83C2×#4112yes—
745C2×Dic83C2×#4112yes—
746C2×Dic83C2×#4112yes—
747C2×Dic83C2×#4112yes—
748C2×Dic83C2×#4112yes—
749C2×Dic83C2×#4112yes—
750C2×Dic83H(5,𝔽2)12yes—
751D332—44no—
752D332—44no—
753D332—44no—
754D332—44no—
755D332—44no—
756C4×D83—28no—
757C4×D83—28no—
758C4×D83—44no—
759C4×D83—44no—
760C4×D83—44no—
761C4×D83—44no—
762C4×D83—44no—
763C4×D83—44no—
764Dic166—44no—
765C22×C83—22no—
766C22×C83—22no—
767C22×C83—22no—
768C22×C83—22no—
769C22×C83—22no—
770C22×C83—22no—
771C22×C83—41no—
772C22×C83—41no—
773C22×C83—41no—
774C22×C83—41no—
775C22×C83—41no—
776C22×C83—41no—
777C22×C83—41no—
778C22×C83#53214yes—
779C22×C83C23×D411yescharacteristic
780C22×C83C22×#4111yescharacteristic
781C22×C83C22×#4111yescharacteristic
782C22×C83C22×#4111yescharacteristic
783C22×C83C22×#4111yescharacteristic
784C22×C83C2×H(5,𝔽2)11yescharacteristic
785C22×C83#58511yescharacteristic
786C2×D83—22no—
787C2×D83—22no—
788C2×D83—22no—
789C2×D83—22no—
790C2×D83—22no—
791C2×D83—22no—
792C2×D83—22no—
793C2×D83—22no—
794C2×D83—22no—
795C2×D83—416no—
796C2×D83—41no—
797C2×D83—41no—
798C2×D83—41no—
799C2×D83—41no—
800C2×D83—41no—
801C2×D83—41no—
802C2×D83—41no—
803C2×D83—41no—
804C2×D83—41no—
805C2×D83—41no—
806C2×D83—41no—
807C2×D83—41no—
808C2×D83—41no—
809C2×D83—41no—
810C2×D83—41no—
811C2×D83—41no—
812C2×D83—41no—
813C2×D83—41no—
814C2×D83—41no—
815C4×C83—22no—
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—
827C4×C83—41no—
828Dic83—22no—
829Dic83—22no—
830Dic83—22no—
831Dic83—22no—
832Dic83—22no—
833Dic83—22no—
834Dic83—22no—
835Dic83—41no—
836Dic83—41no—
837Dic83—41no—
838Dic83—41no—
839Dic83#54614yes—
840#34829—831nomaximal, Sylow
841C2×C83—24no—
842C2×C83—81no—
843C2×C83C2×#53211yescharacteristic
844C2×C83#344411yescharacteristic
845C2×C83#345911yescharacteristic
846C2×C83C2×#54611yescharacteristic
847C2×C83D4×#4111yescharacteristic
848C2×C83#347511yescharacteristic
849C2×C83#348111yescharacteristic
850D83—42no—
851D83—42no—
852D83—42no—
853D83—81no—
854C2×#529—831no—
855C2×#525—831no—
856#2560—831no—
857#2559—831no—
858#2558—831no—
859#2557—831no—
860#2556—831no—
861#2555—831no—
862#2554—831no—
863#2553—831no—
864#2549—831no—
865#2543—831no—
866#2539—831no—
867#2534—831no—
868#2488D8311yescharacteristic, complemented
869#2472—831no—
870#2425—831no—
871#2424—831no—
872#2396—831no—
873#2395—831no—
874#2392—831no—
875#2388—831no—
876C4×#124—831no—
877C4×#123—831no—
878C4×#121—831no—
879C4×#121—831no—
880C4×#120—831no—
881#2297—831no—
882#2293—831no—
883C42×D4—831no—
884C2×C4×C22⋊C4—831no—
885C83#3482911yescharacteristic, complemented, Sylow
886C22×#41—831no—
887C24×C4—831no—
888#529—1668no—
889C2×#126—831no—
890C2×#126—831no—
891C2×#125—831no—
892C2×#124—831no—
893C2×#124—831no—
894#525—1668no—
895C2×#123—831no—
896C2×#123—831no—
897C2×#123—831no—
898C2×#123—831no—
899C2×#123C2×D8311yescharacteristic
900C2×C22⋊Q8—831no—
901C2×C22⋊Q8—831no—
902C2×C22⋊Q8C2×D8311yescharacteristic
903C2×#121—831no—
904C2×#121—831no—
905C2×#121—831no—
906C2×#121—831no—
907C2×#121—831no—
908C2×#120—831no—
909C2×#120—831no—
910C2×#120—831no—
911C2×C4×Q8—831no—
912C2×C4×D4—831no—
913C2×C4×D4—831no—
914C2×C4×D4—831no—
915C2×C4×D4—831no—
916C2×C4×D4—831no—
917C2×C4×D4—831no—
918C2×C4×D4—831no—
919C2×C4×D4—831no—
920C2×C4×D4—831no—
921C2×C4×D4—831no—
922C2×C4×D4—831no—
923C2×#117—831no—
924C2×#117—831no—
925C2×#117—831no—
926C22×C22⋊C4—831no—
927C22×C22⋊C4—831no—
928C22×C42—831no—
929C22×C42—831no—
930C22×C42—831no—
931#400C2×D8311yescharacteristic, complemented
932#400C2×D8311yescharacteristic, complemented
933#399—831no—
934#399—831no—
935#398—831no—
936#398—831no—
937#398—831no—
938#398—831no—
939#397—831no—
940#397—831no—
941#397—831no—
942#397C2×D8311yescharacteristic, complemented
943#396—831no—
944#396—831no—
945#396—831no—
946#396—831no—
947#395—831no—
948#395—831no—
949#394—831no—
950#394—831no—
951#394—831no—
952#394—831no—
953#394—831no—
954#394—831no—
955#394—831no—
956#394—831no—
957#393—831no—
958#393C2×D8311yescharacteristic, complemented
959#392—831no—
960#392—831no—
961#392—831no—
962#392—831no—
963#391—831no—
964#391—831no—
965#391C2×D8311yescharacteristic, complemented
966#390—831no—
967#390—831no—
968#390—831no—
969#390—831no—
970#390—831no—
971#390—831no—
972#390—831no—
973#389—831no—
974#389—831no—
975#389—831no—
976#389—831no—
977#388—831no—
978#388—831no—
979#388—831no—
980#388—831no—
981#388—831no—
982#388—831no—
983#388—831no—
984#388—831no—
985#388—831no—
986#388—831no—
987#388—831no—
988#388—831no—
989#388C2×D8311yescharacteristic, complemented
990#388C2×D8311yescharacteristic, complemented
991#387—831no—
992#387—831no—
993#386—831no—
994#386—831no—
995#386—831no—
996#386—831no—
997#386—831no—
998#386—831no—
999#386—831no—
1000#386—831no—
1001#386—831no—
1002#386—831no—
1003#386C2×D8311yescharacteristic
1004#386C2×D8311yescharacteristic
1005#385—831no—
1006#385—831no—
1007#385—831no—
1008#385—831no—
1009#382C2×D8311yescharacteristic, complemented
1010#381C2×D8311yescharacteristic
1011#380—831no—
1012#380—831no—
1013#379—831no—
1014C4×C4⋊C4—831no—
1015C4×C4⋊C4—831no—
1016C4×C4⋊C4—831no—
1017C4×C4⋊C4—831no—
1018C4×C4⋊C4—831no—
1019C4×C4⋊C4—831no—
1020C4×C22⋊C4—831no—
1021C4×C22⋊C4—831no—
1022C4×C22⋊C4—831no—
1023C4×C22⋊C4—831no—
1024C4×C22⋊C4—831no—
1025C4×C22⋊C4—831no—
1026C4×C22⋊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⋊C4—831no—
1037C4×C22⋊C4—831no—
1038C4×C22⋊C4—831no—
1039C4×C22⋊C4C2×D8311yescharacteristic
1040C2×#95—831no—
1041C2×#95C2×D8311yescharacteristic
1042C43—831no—
1043C25—831no—
1044C2×#41—3322no—
1045C2×#41—1664no—
1046C2×#41—1664no—
1047C22×Q8—831no—
1048C22×Q8C22×D8311yescharacteristic
1049C22×D4—831no—
1050C22×D4—831no—
1051C22×D4—831no—
1052C22×D4—831no—
1053C22×D4—831no—
1054C22×D4—831no—
1055C22×D4—831no—
1056C22×D4—831no—
1057C22×D4—831no—
1058C22×D4—831no—
1059C22×D4—831no—
1060C22×D4C22×D8311yescharacteristic
1061C23×C4—3322no—
1062C23×C4—831no—
1063C23×C4—831no—
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—1664no—
1075C23×C4—1664no—
1076C23×C4C22×D8311yescharacteristic
1077C23×C4C22×D8311yescharacteristic
1078C23×C4C22×D8311yescharacteristic
1079#126—1664no—
1080#126—1664no—
1081#125—1664no—
1082#124—1664no—
1083#124—1664no—
1084#123—24no—
1085#123—1664no—
1086#123—1664no—
1087#123—1664no—
1088#123—1664no—
1089C22⋊Q8—24no—
1090C22⋊Q8—1664no—
1091C22⋊Q8—1664no—
1092#121—1664no—
1093#121—1664no—
1094#121—1664no—
1095#121—1664no—
1096#121—1664no—
1097#120—1664no—
1098#120—1664no—
1099#120—1664no—
1100C4×Q8—1664no—
1101C4×D4—3322no—
1102C4×D4—3322no—
1103C4×D4—838no—
1104C4×D4—1664no—
1105C4×D4—1664no—
1106C4×D4—1664no—
1107C4×D4—1664no—
1108C4×D4—1664no—
1109C4×D4—1664no—
1110C4×D4—1664no—
1111C4×D4—1664no—
1112#117—1664no—
1113#117—1664no—
1114#117—1664no—
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⋊C4—831no—
1129C2×C4⋊C4—831no—
1130C2×C4⋊C4—831no—
1131C2×C4⋊C4—831no—
1132C2×C4⋊C4—831no—
1133C2×C4⋊C4—831no—
1134C2×C4⋊C4—831no—
1135C2×C4⋊C4—831no—
1136C2×C4⋊C4C22×D8311yescharacteristic
1137C2×C4⋊C4C22×D8311yescharacteristic
1138C2×C4⋊C4C22×D8311yescharacteristic
1139C2×C4⋊C4C22×D8311yescharacteristic
1140C2×C4⋊C4C22×D8311yescharacteristic
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—831no—
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—831no—
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⋊C4—831no—
1171C2×C22⋊C4—831no—
1172C2×C22⋊C4—831no—
1173C2×C22⋊C4—831no—
1174C2×C22⋊C4—831no—
1175C2×C22⋊C4—831no—
1176C2×C22⋊C4—831no—
1177C2×C22⋊C4—831no—
1178C2×C22⋊C4—831no—
1179C2×C22⋊C4—831no—
1180C2×C22⋊C4—1664no—
1181C2×C22⋊C4—1664no—
1182C2×C22⋊C4C22×D8311yescharacteristic
1183C2×C22⋊C4C22×D8311yescharacteristic
1184C2×C22⋊C4C22×D8311yescharacteristic
1185C2×C22⋊C4C22×D8311yescharacteristic
1186C2×C22⋊C4C22×D8311yescharacteristic
1187C2×C22⋊C4C22×D8311yescharacteristic
1188C2×C22⋊C4C22×D8311yescharacteristic
1189C2×C22⋊C4C22×D8311yescharacteristic
1190C2×C22⋊C4C22×D8311yescharacteristic
1191C2×C42—3322no—
1192C2×C42—3322no—
1193C2×C42—831no—
1194C2×C42—831no—
1195C2×C42—831no—
1196C2×C42—831no—
1197C2×C42—831no—
1198C2×C42—831no—
1199C2×C42—831no—
1200C2×C42—831no—
1201C2×C42—831no—
1202C2×C42—831no—
1203C2×C42—831no—
1204C2×C42—831no—
1205C2×C42—831no—
1206C2×C42—831no—
1207C2×C42—831no—
1208C2×C42—831no—
1209C2×C42—831no—
1210C2×C42—1664no—
1211C2×C42C22×D8311yescharacteristic
1212C2×C42C22×D8311yescharacteristic
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
1237#95C22×D8311yescharacteristic
1238#95C22×D8311yescharacteristic
1239#95C22×D8311yescharacteristic
1240#95C22×D8311yescharacteristic
1241#95C22×D8311yescharacteristic
1242#95C22×D8311yescharacteristic
1243#95C22×D8311yescharacteristic
1244#95C22×D8311yescharacteristic
1245C24—3321no—
1246C24—3321no—
1247C24—831no—
1248C24—831no—
1249C24—831no—
1250C24—831no—
1251C24—1662no—
1252C24—1662no—
1253C24—1662no—
1254C24—1662no—
1255C24—1662no—
1256C24C23×D8311yescharacteristic
1257C24C23×D8311yescharacteristic
1258#41—33216no—
1259C2×Q8—22no—
1260C2×Q8—22no—
1261C2×Q8—41no—
1262C2×Q8—3321no—
1263C2×Q8—1662no—
1264C2×Q8—1662no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
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—3321no—
1277C2×D4—3321no—
1278C2×D4—834no—
1279C2×D4—1662no—
1280C2×D4—1662no—
1281C2×D4—1662no—
1282C2×D4—1662no—
1283C2×D4—1662no—
1284C2×D4—1662no—
1285C2×D4—1662no—
1286C2×D4—1662no—
1287C2×D4—1662no—
1288C2×D4—1662no—
1289C2×D4—1662no—
1290C2×D4—1662no—
1291C2×D4—1662no—
1292C2×D4—1662no—
1293C2×D4—1662no—
1294C2×D4—1662no—
1295C2×D4—1662no—
1296C2×D4—1662no—
1297C2×D4—1662no—
1298C2×D4—1662no—
1299C2×D4—1662no—
1300C2×D4—1662no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—3321no—
1311C22×C4—3321no—
1312C22×C4—3321no—
1313C22×C4—3321no—
1314C22×C4—3321no—
1315C22×C4—33216no—
1316C22×C4—3321no—
1317C22×C4—3321no—
1318C22×C4—3321no—
1319C22×C4—834no—
1320C22×C4—831no—
1321C22×C4—834no—
1322C22×C4—831no—
1323C22×C4—831no—
1324C22×C4—831no—
1325C22×C4—831no—
1326C22×C4—831no—
1327C22×C4—831no—
1328C22×C4—831no—
1329C22×C4—834no—
1330C22×C4—834no—
1331C22×C4—831no—
1332C22×C4—831no—
1333C22×C4—831no—
1334C22×C4—831no—
1335C22×C4—1662no—
1336C22×C4—1662no—
1337C22×C4—1662no—
1338C22×C4—1662no—
1339C22×C4—1662no—
1340C22×C4—1662no—
1341C22×C4—1662no—
1342C22×C4—1662no—
1343C22×C4—1662no—
1344C22×C4—1662no—
1345C22×C4—1662no—
1346C22×C4—1662no—
1347C22×C4—1662no—
1348C22×C4—1662no—
1349C22×C4—1662no—
1350C22×C4—1662no—
1351C22×C4—1662no—
1352C22×C4—1662no—
1353C22×C4—1662no—
1354C22×C4—1662no—
1355C22×C4—1662no—
1356C22×C4—1662no—
1357C22×C4—1662no—
1358C22×C4—1662no—
1359C22×C4C23×D8311yescharacteristic
1360C22×C4C23×D8311yescharacteristic
1361C22×C4C23×D8311yescharacteristic
1362C22×C4C23×D8311yescharacteristic
1363C22×C4C23×D8311yescharacteristic
1364C22×C4C23×D8311yescharacteristic
1365C22×C4C23×D8311yescharacteristic
1366C22×C4C23×D8311yescharacteristic
1367C22×C4C23×D8311yescharacteristic
1368C22×C4C23×D8311yescharacteristic
1369C22×C4C23×D8311yescharacteristic
1370C22×C4C23×D8311yescharacteristic
1371C22×C4C23×D8311yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—3321no—
1378C4⋊C4—3321no—
1379C4⋊C4—3321no—
1380C4⋊C4—3321no—
1381C4⋊C4—834no—
1382C4⋊C4—1662no—
1383C4⋊C4—1662no—
1384C4⋊C4—1662no—
1385C4⋊C4—1662no—
1386C4⋊C4—1662no—
1387C4⋊C4—1662no—
1388C4⋊C4—1662no—
1389C4⋊C4—1662no—
1390C4⋊C4—1662no—
1391C4⋊C4—1662no—
1392C4⋊C4—1662no—
1393C4⋊C4—1662no—
1394C4⋊C4—1662no—
1395C4⋊C4—1662no—
1396C4⋊C4—1662no—
1397C4⋊C4—1662no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—3321no—
1407C22⋊C4—3321no—
1408C22⋊C4—3321no—
1409C22⋊C4—3321no—
1410C22⋊C4—834no—
1411C22⋊C4—834no—
1412C22⋊C4—834no—
1413C22⋊C4—1662no—
1414C22⋊C4—1662no—
1415C22⋊C4—1662no—
1416C22⋊C4—1662no—
1417C22⋊C4—1662no—
1418C22⋊C4—1662no—
1419C22⋊C4—1662no—
1420C22⋊C4—1662no—
1421C22⋊C4—1662no—
1422C22⋊C4—1662no—
1423C22⋊C4—1662no—
1424C22⋊C4—1662no—
1425C22⋊C4—1662no—
1426C22⋊C4—1662no—
1427C22⋊C4—1662no—
1428C22⋊C4—1662no—
1429C22⋊C4—1662no—
1430C22⋊C4—1662no—
1431C22⋊C4—1662no—
1432C22⋊C4—1662no—
1433C22⋊C4—1662no—
1434C22⋊C4—1662no—
1435C22⋊C4—1662no—
1436C22⋊C4—1662no—
1437C22⋊C4—1662no—
1438C22⋊C4—1662no—
1439C22⋊C4—1662no—
1440C22⋊C4—1662no—
1441C22⋊C4—1662no—
1442C22⋊C4—1662no—
1443C22⋊C4—1662no—
1444C22⋊C4—1662no—
1445C22⋊C4D4×D8314yes—
1446C42—22no—
1447C42—41no—
1448C42—3321no—
1449C42—3321no—
1450C42—3321no—
1451C42—3321no—
1452C42—834no—
1453C42—1662no—
1454C42—1662no—
1455C42—1662no—
1456C42—1662no—
1457C42—1662no—
1458C42—1662no—
1459C42—1662no—
1460C42—1662no—
1461C42—1662no—
1462C42—1662no—
1463C42—1662no—
1464C42—1662no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—3324no—
1477C23—3324no—
1478C23—3324no—
1479C23—3324no—
1480C23—3324no—
1481C23—3324no—
1482C23—832no—
1483C23—832no—
1484C23—832no—
1485C23—1668no—
1486C23—1661no—
1487C23—1661no—
1488C23—1661no—
1489C23—1661no—
1490C23—1661no—
1491C23—1661no—
1492C23—1661no—
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—1661no—
1506C23—1661no—
1507C23—1661no—
1508C23—1661no—
1509C23—1661no—
1510C23—1661no—
1511C23C2×D4×D8312yes—
1512C23#41×D8312yes—
1513C23#41×D8312yes—
1514C23C24×D8311yescharacteristic
1515Q8—44no—
1516Q8—3324no—
1517D4—44no—
1518D4—3324no—
1519D4—3324no—
1520D4—3324no—
1521D4—3324no—
1522D4—3324no—
1523D4—3324no—
1524D4—3324no—
1525D4—3324no—
1526D4—3324no—
1527D4—3324no—
1528D4—1668no—
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—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—3324no—
1568C2×C4—3324no—
1569C2×C4—3324no—
1570C2×C4—3324no—
1571C2×C4—3324no—
1572C2×C4—3324no—
1573C2×C4—3324no—
1574C2×C4—3324no—
1575C2×C4—3324no—
1576C2×C4—832no—
1577C2×C4—832no—
1578C2×C4—832no—
1579C2×C4—832no—
1580C2×C4—832no—
1581C2×C4—832no—
1582C2×C4—832no—
1583C2×C4—832no—
1584C2×C4—832no—
1585C2×C4—832no—
1586C2×C4—1668no—
1587C2×C4—1668no—
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—1668no—
1601C2×C4—1661no—
1602C2×C4—1661no—
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×C4C2×D4×D8312yes—
1616C2×C4C2×D4×D8312yes—
1617C2×C4#41×D8312yes—
1618C2×C4#41×D8312yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—33216no—
1633C22—3321no—
1634C22—3321no—
1635C22—3321no—
1636C22—3321no—
1637C22—3321no—
1638C22—3321no—
1639C22—3321no—
1640C22—3321no—
1641C22—3321no—
1642C22—3321no—
1643C22—3321no—
1644C22—3321no—
1645C22—3321no—
1646C22—3321no—
1647C22—3321no—
1648C22—3321no—
1649C22—3321no—
1650C22—3321no—
1651C22—3321no—
1652C22—1662no—
1653C22—1662no—
1654C22—1662no—
1655C22—1662no—
1656C22—1662no—
1657C22—1662no—
1658C22—1662no—
1659C22—1662no—
1660C22—1662no—
1661C22#1912825014yes—
1662C22C22×D4×D8311yescharacteristic
1663C22C2×#41×D8311yescharacteristic
1664C22C2×#41×D8311yescharacteristic
1665C22C2×#41×D8311yescharacteristic
1666C22C2×#41×D8311yescharacteristic
1667C22H(5,𝔽2)×D8311yescharacteristic
1668C22#1912853811yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—41no—
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—834no—
1687C4—1662no—
1688C4—1662no—
1689C4—1662no—
1690C4—1662no—
1691C4—1662no—
1692C4—1662no—
1693C4—1662no—
1694C2—24no—
1695C2—81no—
1696C2—3322no—
1697C2—3322no—
1698C2—3322no—
1699C2—6641no—
1700C2C2×#1912825011yescharacteristic
1701C2#2492075711yescharacteristic
1702C2#2492087111yescharacteristic
1703C2#546×D8311yescharacteristic
1704C2#2492095011yescharacteristic
1705C2#2492101611yescharacteristic
1706C2#2492106611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2488C2
hypercenter#2488D83
hypocenterC83#34829
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2488

Complements

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

NH ≅ G/Ntype
1. C2×#19128228C2semidirect
2. C2×#19128214C2semidirect
3. #24912610C2semidirect
4. #24912595C2semidirect
5. #24912580C2semidirect
6. #24912565C2semidirect
7. #24912552C2semidirect
8. #24912539C2semidirect
9. #24912530C2semidirect
10. #24912515C2semidirect
11. #24912471C2semidirect
12. #24912427C2semidirect
13. #24912393C2semidirect
14. #24912358C2semidirect
15. #24911589C2semidirect
16. #24911014C2semidirect
17. #24911001C2semidirect
18. #24910736C2semidirect
19. #24910729C2semidirect
20. #24910700C2semidirect
21. #24910680C2semidirect
22. #24910002C2semidirect
23. #24909980C2semidirect
24. #24909975C2semidirect
25. #24909973C2semidirect
26. #24909968C2semidirect
27. #24909952C2semidirect
28. #24909923C2semidirect
29. C4×(C22⋊D83)⋊C4C2semidirect
30. C2×#19127548C2semidirect
31. C83×#2488C2semidirect
35. C2×#14581787C22semidirect
36. C2×#14581785C22semidirect
37. C2×#14581782C22semidirect
39. C2×#14581778C22semidirect
55. C2×#14581757C22semidirect
65. C2×(C22⋊D83)⋊C4C22semidirect
66. C2×(C22⋊D83)⋊C4C22semidirect
68. C2×#14581750C22semidirect
69. C2×#14581748C22semidirect
74. C2×C42×D83C22semidirect
77. #19127635C22semidirect
78. #19127635C22semidirect
79. #19127632C22semidirect
80. #19127631C22semidirect
81. #19127630C22semidirect
82. #19127630C22semidirect
87. #19127625C22semidirect
88. #19127621C22semidirect
89. #19127620C22semidirect
95. #19127619C22semidirect
97. #19127616C22semidirect
102. #19127610C22semidirect
103. #19127608C22semidirect
104. #19127606C22semidirect
111. #19127601C22semidirect
112. #19127598C22semidirect
113. #19127598C22semidirect
114. #19127596C22semidirect
115. #19127596C22semidirect
116. #19127594C22semidirect
117. #19127593C22semidirect
123. #19127590C22semidirect
124. #19127590C22semidirect
125. #19127590C22semidirect
126. #19127590C22semidirect
127. #19127589C22semidirect
128. #19127583C22semidirect
129. #19127583C22semidirect
134. #19127579C22semidirect
135. #19127579C22semidirect
139. #19127577C22semidirect
144. #19127560C22semidirect
147. C4×Dic83⋊C4C22semidirect
148. #19127552C22semidirect
149. #19127552C22semidirect
150. #19127552C22semidirect
151. #19127552C22semidirect
152. #19127552C22semidirect
155. C22⋊C4×Dic83C22semidirect
156. C4×(C2×D83)⋊C4C22semidirect
167. #19127548C22semidirect
168. #19127548C22semidirect
169. #19127548C22semidirect
170. #19127548C22semidirect
171. #19127548C22semidirect
173. C42×Dic83C22semidirect
176. #400×C83C22semidirect
177. #400×C83C22semidirect
178. #397×C83C22semidirect
179. #393×C83C22semidirect
180. #391×C83C22semidirect
181. #388×C83C22semidirect
182. #388×C83C22semidirect
185. #382×C83C22semidirect
250. (C22⋊D83)⋊C4D4semidirect
450. C22×Dic83#41semidirect
513. C22⋊Dic83#41semidirect
547. (C2×D83)⋊C4#41semidirect
868. #2488D83semidirect
885. C83#34829semidirect
931. #400C2×D83semidirect
932. #400C2×D83semidirect
942. #397C2×D83semidirect
958. #393C2×D83semidirect
965. #391C2×D83semidirect
989. #388C2×D83semidirect
990. #388C2×D83semidirect
1009. #382C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282282
C2×#191282142
#249126102
#249125952
#249125802
#249125652
#249125522
#249125392
#249125302
#249125152
#249124712
#249124272
#249123932
#249123582
#249115892
#249110142
#249110012
#249107362
#249107292
#249107002
#249106802
#249100022
#249099802
#249099752
#249099732
#249099682
#249099522
#249099232
C4×(C22⋊D83)⋊C42
C2×#191275482
C83×#24882
#3482983