Finite Group Databasebeta

← #35611465

Subgroups — #35611465

Order 21248.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128294C211yesmaximal, characteristic, complemented
2C2×#19128214C211yesmaximal, characteristic, complemented
3#24915752C211yesmaximal, characteristic, complemented
4#24915749C211yesmaximal, characteristic, complemented
5#24914171C211yesmaximal, characteristic, complemented
6#24914144C211yesmaximal, characteristic, complemented
7#24914128C211yesmaximal, characteristic, complemented
8#24914101C211yesmaximal, characteristic, complemented
9#24914080C211yesmaximal, characteristic, complemented
10#24914033C211yesmaximal, characteristic, complemented
11#24914028C211yesmaximal, characteristic, complemented
12#24913852C211yesmaximal, characteristic, complemented
13#24913833C211yesmaximal, characteristic, complemented
14#24913828C211yesmaximal, characteristic, complemented
15#24913816C211yesmaximal, characteristic, complemented
16#24913808C211yesmaximal, characteristic, complemented
17#24913803C211yesmaximal, characteristic, complemented
18#24913795C211yesmaximal, characteristic, complemented
19#24913782C211yesmaximal, characteristic, complemented
20#24913382C211yesmaximal, characteristic, complemented
21#24913303C211yesmaximal, characteristic, complemented
22#24913156C211yesmaximal, characteristic, complemented
23#24913093C211yesmaximal, characteristic, complemented
24#24913067C211yesmaximal, characteristic, complemented
25#24913049C211yesmaximal, characteristic, complemented
26#24912811C211yesmaximal, characteristic, complemented
27#24912660C211yesmaximal, characteristic, complemented
28#24910810C211yesmaximal, characteristic, complemented
29#24910799C211yesmaximal, characteristic, complemented
30#24910104C211yesmaximal, characteristic, complemented
31C83×#2680C211yesmaximal, characteristic, complemented
32C22×#13050591C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34#19128294—28no—
35C2×#14581785C2211yescharacteristic
36C2×#14581785C2211yescharacteristic, complemented
37C2×#14581783C2211yescharacteristic, complemented
38C2×#14581782C2211yescharacteristic, complemented
39#19128214—28no—
40C2×#14581777C2211yescharacteristic
41C2×#14581777C2211yescharacteristic
42C2×#14581777C2211yescharacteristic
43C2×#14581777C2211yescharacteristic, complemented
44C2×#14581774C2211yescharacteristic
45C2×#14581774C2211yescharacteristic, complemented
46C2×#14581773C2211yescharacteristic
47C2×#14581771C2211yescharacteristic, complemented
48C2×#14581770C2211yescharacteristic
49C2×#14581770C2211yescharacteristic
50C2×#14581770C2211yescharacteristic, complemented
51C2×#14581769C2211yescharacteristic
52C2×#14581768C2211yescharacteristic
53C2×#14581767C2211yescharacteristic
54C2×#14581766C2211yescharacteristic
55C2×#14581766C2211yescharacteristic
56C2×#14581763C2211yescharacteristic
57C2×#14581762C2211yescharacteristic
58C2×#14581762C2211yescharacteristic
59C2×#14581760C2211yescharacteristic
60C2×#14581754C2211yescharacteristic
61C2×#14581754C2211yescharacteristic
62C2×C4×C22⋊D83C2211yescharacteristic, complemented
63C2×(C22⋊D83)⋊C4C2211yescharacteristic
64C2×(C22⋊D83)⋊C4C2211yescharacteristic
65C2×#14581750C2211yescharacteristic
66C2×C4⋊C4×D83C2211yescharacteristic, complemented
67#19127640C2211yescharacteristic, complemented
68#19127638C2211yescharacteristic
69#19127635C2211yescharacteristic, complemented
70#19127635C2211yescharacteristic, complemented
71#19127634C2211yescharacteristic, complemented
72#19127632C2211yescharacteristic, complemented
73#19127632C2211yescharacteristic, complemented
74#19127630C2211yescharacteristic, complemented
75#19127629C2211yescharacteristic
76#19127629C2211yescharacteristic
77#19127627C2211yescharacteristic
78#19127627C2211yescharacteristic, complemented
79#19127625C2211yescharacteristic
80#19127625C2211yescharacteristic, complemented
81#19127624C2211yescharacteristic, complemented
82#19127624C2211yescharacteristic, complemented
83#19127623C2211yescharacteristic
84#19127623C2211yescharacteristic
85#19127623C2211yescharacteristic
86#19127623C2211yescharacteristic
87#19127623C2211yescharacteristic, complemented
88#19127623C2211yescharacteristic, complemented
89#19127621C2211yescharacteristic, complemented
90#19127620C2211yescharacteristic, complemented
91#19127619C2211yescharacteristic
92#19127619C2211yescharacteristic
93#19127619C2211yescharacteristic
94#19127618C2211yescharacteristic
95#19127618C2211yescharacteristic
96#19127618C2211yescharacteristic, complemented
97#19127617C2211yescharacteristic
98#19127617C2211yescharacteristic
99#19127617C2211yescharacteristic, complemented
100#19127616C2211yescharacteristic
101#19127616C2211yescharacteristic
102#19127616C2211yescharacteristic, complemented
103#19127614C2211yescharacteristic, complemented
104#19127610C2211yescharacteristic
105#19127610C2211yescharacteristic
106#19127610C2211yescharacteristic
107#19127610C2211yescharacteristic, complemented
108#19127609C2211yescharacteristic
109#19127608C2211yescharacteristic, complemented
110#19127603C2211yescharacteristic
111#19127602C2211yescharacteristic
112#19127602C2211yescharacteristic
113#19127601C2211yescharacteristic
114#19127601C2211yescharacteristic
115#19127601C2211yescharacteristic
116#19127601C2211yescharacteristic
117#19127601C2211yescharacteristic, complemented
118#19127600C2211yescharacteristic, complemented
119#19127600C2211yescharacteristic, complemented
120#19127598C2211yescharacteristic, complemented
121#19127596C2211yescharacteristic, complemented
122#19127596C2211yescharacteristic, complemented
123#19127595C2211yescharacteristic, complemented
124#19127594C2211yescharacteristic
125#19127593C2211yescharacteristic
126#19127593C2211yescharacteristic
127#19127593C2211yescharacteristic
128#19127592C2211yescharacteristic
129#19127592C2211yescharacteristic, complemented
130#19127590C2211yescharacteristic
131#19127590C2211yescharacteristic, complemented
132#19127590C2211yescharacteristic, complemented
133#19127588C2211yescharacteristic, complemented
134#19127584C2211yescharacteristic, complemented
135#19127584C2211yescharacteristic, complemented
136#19127582C2211yescharacteristic, complemented
137#19127580C2211yescharacteristic
138#19127579C2211yescharacteristic
139#19127579C2211yescharacteristic
140#19127579C2211yescharacteristic
141#19127579C2211yescharacteristic, complemented
142#19127577C2211yescharacteristic
143#19127577C2211yescharacteristic
144#19127577C2211yescharacteristic
145#19127577C2211yescharacteristic
146#19127577C2211yescharacteristic, complemented
147#19127575C2211yescharacteristic
148#19127575C2211yescharacteristic
149#19127575C2211yescharacteristic, complemented
150#19127575C2211yescharacteristic, complemented
151#19127574C2211yescharacteristic
152#19127572C2211yescharacteristic
153#19127572C2211yescharacteristic
154#19127572C2211yescharacteristic
155#19127572C2211yescharacteristic
156#19127572C2211yescharacteristic
157#19127572C2211yescharacteristic
158#19127572C2211yescharacteristic, complemented
159#19127572C2211yescharacteristic, complemented
160#19127572C2211yescharacteristic, complemented
161#19127566C2211yescharacteristic, complemented
162#19127564C2211yescharacteristic
163#19127563C2211yescharacteristic, complemented
164#19127562C2211yescharacteristic
165#19127560C2211yescharacteristic
166#19127560C2211yescharacteristic
167#19127559C2211yescharacteristic
168#19127558C2211yescharacteristic, complemented
169#19127556C2211yescharacteristic
170#19127556C2211yescharacteristic
171#19127556C2211yescharacteristic
172C4×Dic83⋊C4C2211yescharacteristic, complemented
173#19127546C2211yescharacteristic, complemented
174C2×#123×C83C2211yescharacteristic
175C2×#123×C83C2211yescharacteristic
176C2×C22⋊Q8×C83C2211yescharacteristic
177C2×C22⋊Q8×C83C2211yescharacteristic, complemented
178#398×C83C2211yescharacteristic, complemented
179#398×C83C2211yescharacteristic, complemented
180#397×C83C2211yescharacteristic
181#397×C83C2211yescharacteristic, complemented
182#395×C83C2211yescharacteristic, complemented
183#394×C83C2211yescharacteristic
184#388×C83C2211yescharacteristic
185#388×C83C2211yescharacteristic, complemented
186#385×C83C2211yescharacteristic
187#385×C83C2211yescharacteristic, complemented
188#384×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C2×#13050591—24no—
191C2×#13050591—42no—
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
206C22×C4×D83—24no—
207C22×C4×D83—42no—
208C22×C4×D83—42no—
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217#14581785—24no—
218#14581785—24no—
219#14581783—24no—
220#14581782—24no—
221#14581777—24no—
222#14581777—24no—
223#14581777—42no—
224#14581777—42no—
225#14581774—24no—
226#14581774—24no—
227#14581773—24no—
228#14581771—24no—
229#14581770—24no—
230#14581770—42no—
231#14581770—42no—
232#14581769—24no—
233#14581768—24no—
234#14581767—24no—
235#14581766—24no—
236#14581766—42no—
237#14581763—24no—
238#14581762—24no—
239#14581762—24no—
240#14581760—42no—
241#14581754—24no—
242#14581754—24no—
243C4×C22⋊D83—24no—
244(C22⋊D83)⋊C4—24no—
245(C22⋊D83)⋊C4D418yescomplemented
246#14581750—24no—
247C2×C4⋊Dic83C2311yescharacteristic
248C2×C4⋊Dic83C2311yescharacteristic
249C2×C4⋊Dic83C2311yescharacteristic
250C2×C4⋊Dic83C2311yescharacteristic
251C2×C4⋊Dic83C2311yescharacteristic
252C2×C4⋊Dic83C2311yescharacteristic
253C2×C4⋊Dic83C2311yescharacteristic
254C2×C4⋊Dic83C2311yescharacteristic
255C2×Dic83⋊C4C2311yescharacteristic
256C2×Dic83⋊C4C2311yescharacteristic
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
273C4⋊C4×D83—24no—
274C2×C22⋊Dic83C2311yescharacteristic
275C2×C22⋊Dic83C2311yescharacteristic
276C2×C22⋊Dic83C2311yescharacteristic
277C2×C22⋊Dic83C2311yescharacteristic
278C2×C22⋊Dic83C2311yescharacteristic
279C2×C22⋊Dic83C2311yescharacteristic
280C2×C22⋊Dic83C2311yescharacteristic
281C2×C22⋊Dic83C2311yescharacteristic
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×Dic83C2311yescharacteristic
317C2×C4×Dic83C2311yescharacteristic
318C2×C4×Dic83C2311yescharacteristic
319C2×C4×Dic83C2311yescharacteristic
320C2×C4×Dic83C2311yescharacteristic
321C2×C4×Dic83C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C83⋊#95C2311yescharacteristic
341C83⋊#95C2311yescharacteristic
342C83⋊#95C2311yescharacteristic
343C83⋊#95C2311yescharacteristic
344C83⋊#95C2311yescharacteristic
345C83⋊#95C2311yescharacteristic
346C22×Q8×C83C2311yescharacteristic
347C22×D4×C83C2311yescharacteristic
348C23×C4×C83C2311yescharacteristic
349C23×C4×C83C2311yescharacteristic
350#123×C83—24no—
351#123×C83—42no—
352C22⋊Q8×C83—24no—
353C22⋊Q8×C83—42no—
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×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×C22⋊C4×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
385C23×D83—22no—
386C23×D83—22no—
387C23×D83—22no—
388C23×D83—41no—
389C23×D83—41no—
390C23×D83—41no—
391C23×D83—41no—
392C23×D83C2411yescharacteristic
393C23×D83C2411yescharacteristic
394C23×D83C2411yescharacteristic
395C23×D83C2411yescharacteristic
396#13050591—416no—
397C2×Dic166—22no—
398C2×Dic166—41no—
399C2×Dic166—41no—
400C2×D332—22no—
401C2×D332—22no—
402C2×D332—22no—
403C2×D332—22no—
404C2×D332—22no—
405C2×D332—22no—
406C2×D332—22no—
407C2×D332—22no—
408C2×D332—22no—
409C2×D332—22no—
410C2×D332—41no—
411C2×D332—41no—
412C2×D332—41no—
413C2×D332—41no—
414C2×D332—41no—
415C2×C22⋊D83—22no—
416C2×C22⋊D83—22no—
417C2×C22⋊D83—22no—
418C2×C22⋊D83—22no—
419C2×C22⋊D83—41no—
420C2×C22⋊D83—41no—
421C2×C22⋊D83—41no—
422C2×C22⋊D83—41no—
423C2×C22⋊D83—41no—
424C2×C22⋊D83—41no—
425C2×C22⋊D83—41no—
426C2×C22⋊D83—41no—
427C2×C22⋊D83—41no—
428C2×C22⋊D83—41no—
429C2×C22⋊D83—41no—
430C2×C22⋊D83—41no—
431C2×C22⋊D83—41no—
432C2×C22⋊D83C2×D414yes—
433C22×Dic83—41no—
434C22×Dic83—41no—
435C22×Dic83C2×D414yes—
436C22×Dic83C2411yescharacteristic
437C22×Dic83C2411yescharacteristic
438C22×Dic83C2411yescharacteristic
439C22×Dic83C2411yescharacteristic
440C22×Dic83C2411yescharacteristic
441C22×Dic83C2411yescharacteristic
442C22×Dic83C2411yescharacteristic
443C22×Dic83C2411yescharacteristic
444C22×Dic83C2411yescharacteristic
445C22×Dic83C2411yescharacteristic
446C22×Dic83C2411yescharacteristic
447C22×Dic83C2411yescharacteristic
448C2×C4×D83—22no—
449C2×C4×D83—22no—
450C2×C4×D83—22no—
451C2×C4×D83—22no—
452C2×C4×D83—22no—
453C2×C4×D83—22no—
454C2×C4×D83—22no—
455C2×C4×D83—22no—
456C2×C4×D83—22no—
457C2×C4×D83—22no—
458C2×C4×D83—22no—
459C2×C4×D83—416no—
460C2×C4×D83—41no—
461C2×C4×D83—41no—
462C2×C4×D83—41no—
463C2×C4×D83—41no—
464C2×C4×D83—41no—
465C2×C4×D83—41no—
466C2×C4×D83—41no—
467C2×C4×D83—41no—
468C2×C4×D83—41no—
469C2×C4×D83—41no—
470C2×C4×D83—41no—
471C2×C4×D83—41no—
472C2×C4×D83C2×D414yes—
473C4⋊Dic83—22no—
474C4⋊Dic83—22no—
475C4⋊Dic83—22no—
476C4⋊Dic83—22no—
477C4⋊Dic83—22no—
478C4⋊Dic83—41no—
479C4⋊Dic83—41no—
480C4⋊Dic83—41no—
481Dic83⋊C4—22no—
482Dic83⋊C4—22no—
483Dic83⋊C4—22no—
484Dic83⋊C4—22no—
485Dic83⋊C4—22no—
486Dic83⋊C4—22no—
487Dic83⋊C4—22no—
488Dic83⋊C4—22no—
489Dic83⋊C4—22no—
490Dic83⋊C4—41no—
491Dic83⋊C4—41no—
492Dic83⋊C4—41no—
493Dic83⋊C4—41no—
494Dic83⋊C4—41no—
495Dic83⋊C4—41no—
496Dic83⋊C4—41no—
497Dic83⋊C4—41no—
498Dic83⋊C4C2×D414yes—
499C22⋊Dic83—22no—
500C22⋊Dic83—22no—
501C22⋊Dic83—22no—
502C22⋊Dic83—22no—
503C22⋊Dic83—22no—
504C22⋊Dic83—41no—
505C22⋊Dic83—41no—
506C22⋊Dic83—41no—
507(C2×D83)⋊C4—22no—
508(C2×D83)⋊C4—22no—
509(C2×D83)⋊C4—22no—
510(C2×D83)⋊C4—22no—
511(C2×D83)⋊C4—22no—
512(C2×D83)⋊C4—22no—
513(C2×D83)⋊C4—22no—
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—41no—
520(C2×D83)⋊C4—41no—
521(C2×D83)⋊C4—41no—
522(C2×D83)⋊C4—41no—
523(C2×D83)⋊C4—41no—
524(C2×D83)⋊C4—41no—
525(C2×D83)⋊C4—41no—
526(C2×D83)⋊C4—41no—
527(C2×D83)⋊C4—41no—
528(C2×D83)⋊C4—41no—
529(C2×D83)⋊C4—41no—
530(C2×D83)⋊C4—41no—
531(C2×D83)⋊C4—41no—
532(C2×D83)⋊C4—41no—
533(C2×D83)⋊C4—41no—
534(C2×D83)⋊C4—41no—
535(C2×D83)⋊C4—41no—
536(C2×D83)⋊C4—41no—
537(C2×D83)⋊C4—41no—
538(C2×D83)⋊C4—41no—
539(C2×D83)⋊C4—41no—
540(C2×D83)⋊C4C2×D414yes—
541C4×Dic83—22no—
542C4×Dic83—22no—
543C4×Dic83—41no—
544C4×Dic83—41no—
545C4×Dic83—41no—
546C4×Dic83C2×D414yes—
547C24×C83C2411yescharacteristic
548C24×C83C2411yescharacteristic
549C2×Q8×C83—22no—
550C2×Q8×C83—22no—
551C2×Q8×C83—41no—
552C2×D4×C83—22no—
553C2×D4×C83—41no—
554C2×D4×C83—41no—
555C22×C4×C83—22no—
556C22×C4×C83—22no—
557C22×C4×C83—22no—
558C22×C4×C83—41no—
559C22×C4×C83—41no—
560C22×C4×C83—41no—
561C22×C4×C83C2411yescharacteristic
562C22×C4×C83C2411yescharacteristic
563C22×C4×C83C2411yescharacteristic
564C22×C4×C83C2411yescharacteristic
565C22×C4×C83C2411yescharacteristic
566C22×C4×C83C2411yescharacteristic
567C22×C4×C83C2411yescharacteristic
568C22×C4×C83C2411yescharacteristic
569C22×C4×C83C2411yescharacteristic
570C22×C4×C83C2411yescharacteristic
571C22×C4×C83C2411yescharacteristic
572C22×C4×C83C2411yescharacteristic
573C22×C4×C83C2411yescharacteristic
574C4⋊C4×C83—22no—
575C4⋊C4×C83—22no—
576C4⋊C4×C83—22no—
577C4⋊C4×C83—22no—
578C4⋊C4×C83—22no—
579C4⋊C4×C83—22no—
580C4⋊C4×C83—22no—
581C4⋊C4×C83—41no—
582C4⋊C4×C83—41no—
583C4⋊C4×C83—41no—
584C4⋊C4×C83—41no—
585C4⋊C4×C83—41no—
586C22⋊C4×C83—22no—
587C22⋊C4×C83—22no—
588C22⋊C4×C83—22no—
589C22⋊C4×C83—22no—
590C22⋊C4×C83—41no—
591C22⋊C4×C83—41no—
592C22⋊C4×C83—41no—
593C22⋊C4×C83—41no—
594C22⋊C4×C83—41no—
595C22⋊C4×C83C2×D414yes—
596C42×C83—41no—
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×C83C22×D412yes—
611C23×C83C2511yescharacteristic
612C22×D83—21no—
613C22×D83—21no—
614C22×D83—21no—
615C22×D83—21no—
616C22×D83—21no—
617C22×D83—21no—
618C22×D83—21no—
619C22×D83—21no—
620C22×D83—21no—
621C22×D83—21no—
622C22×D83—21no—
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×D83—21no—
636C22×D83—21no—
637C22×D83—44no—
638C22×D83—44no—
639C22×D83—44no—
640C22×D83—44no—
641C22×D83—44no—
642C22×D83—44no—
643C22×D83—44no—
644C22×D83C22×D412yes—
645C22×D83H(5,𝔽2)12yes—
646C22×D832−1+412yes—
647Q8×C83—44no—
648D4×C83—82no—
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—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—44no—
686C2×C4×C83—82no—
687C2×C4×C83C22×D412yes—
688C2×C4×C83C22×D412yes—
689C2×C4×C83H(5,𝔽2)12yes—
690C22⋊D83—44no—
691C22⋊D83—44no—
692C22⋊D83—44no—
693C22⋊D83—82no—
694C22⋊D83—82no—
695C22⋊D83—82no—
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—21no—
725C2×Dic83—21no—
726C2×Dic83—21no—
727C2×Dic83—21no—
728C2×Dic83—21no—
729C2×Dic83—44no—
730C2×Dic83C22×D412yes—
731C2×Dic83C22×D412yes—
732C2×Dic83C22×D412yes—
733D332—44no—
734D332—44no—
735D332—44no—
736D332—44no—
737D332—44no—
738C4×D83—28no—
739C4×D83—44no—
740C4×D83—44no—
741C4×D83—44no—
742C4×D83—44no—
743C4×D83—44no—
744C4×D83—44no—
745C4×D83—82no—
746Dic166—82no—
747C22×C83—22no—
748C22×C83—22no—
749C22×C83—22no—
750C22×C83—41no—
751C22×C83—41no—
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×C83C23×D411yescharacteristic
762C22×C83C2×H(5,𝔽2)11yescharacteristic
763C22×C83C2×H(5,𝔽2)11yescharacteristic
764C22×C83C2×2−1+411yescharacteristic
765C22×C83#58511yescharacteristic
766C22×C83#58511yescharacteristic
767C22×C83#58511yescharacteristic
768C2×D83—22no—
769C2×D83—22no—
770C2×D83—22no—
771C2×D83—22no—
772C2×D83—22no—
773C2×D83—22no—
774C2×D83—22no—
775C2×D83—22no—
776C2×D83—22no—
777C2×D83—416no—
778C2×D83—41no—
779C2×D83—41no—
780C2×D83—41no—
781C2×D83—41no—
782C2×D83—41no—
783C2×D83—41no—
784C2×D83—41no—
785C2×D83—41no—
786C2×D83—41no—
787C2×D83—41no—
788C2×D83—41no—
789C2×D83—41no—
790C2×D83—41no—
791C2×D83—41no—
792C2×D83—41no—
793C2×D83—41no—
794C2×D83—41no—
795C2×D83—41no—
796C2×D83—41no—
797C4×C83—22no—
798C4×C83—22no—
799C4×C83—22no—
800C4×C83—41no—
801C4×C83—41no—
802C4×C83—41no—
803C4×C83—41no—
804C4×C83—41no—
805C4×C83—41no—
806C4×C83—41no—
807C4×C83—41no—
808C4×C83—41no—
809C4×C83—41no—
810Dic83—22no—
811Dic83—22no—
812Dic83—22no—
813Dic83—41no—
814Dic83—41no—
815Dic83—41no—
816Dic83—41no—
817Dic83—41no—
818Dic83—41no—
819Dic83—41no—
820Dic83—41no—
821Dic83—41no—
822#36723—831nomaximal, Sylow
823C2×C83—42no—
824C2×C83—81no—
825C2×C83#344911yescharacteristic
826C2×C83#348411yescharacteristic
827C2×C83#348911yescharacteristic
828C2×C83#353311yescharacteristic
829C2×C83#353511yescharacteristic
830C2×C83#353911yescharacteristic
831C2×C83#354111yescharacteristic
832D83—42no—
833D83—42no—
834D83—42no—
835D83—81no—
836C2×#539—831no—
837C2×#525—831no—
838#2849—831no—
839#2848—831no—
840#2707—831no—
841#2706—831no—
842#2704—831no—
843#2703—831no—
844#2701—831no—
845#2698—831no—
846#2697—831no—
847#2685—831no—
848#2683—831no—
849#2682—831no—
850#2681—831no—
851#2681—831no—
852#2680—831no—
853#2680D8311yescharacteristic, complemented
854#2678—831no—
855#2678—831no—
856#2638—831no—
857#2630—831no—
858#2611—831no—
859#2603—831no—
860#2601—831no—
861#2600—831no—
862#2579—831no—
863#2566—831no—
864#2407—831no—
865#2406—831no—
866#2319—831no—
867C83#3672311yescharacteristic, complemented, Sylow
868C22×#41—831no—
869C24×C4—831no—
870#539—1668no—
871C2×#126—831no—
872C2×#126—831no—
873C2×#125—831no—
874C2×#125—831no—
875#525—1668no—
876C2×#123—831no—
877C2×#123—831no—
878C2×#123—831no—
879C2×#123—831no—
880C2×#123—831no—
881C2×#123—831no—
882C2×#123—831no—
883C2×#123C2×D8311yescharacteristic
884C2×#123C2×D8311yescharacteristic
885C2×C22⋊Q8—831no—
886C2×C22⋊Q8—831no—
887C2×C22⋊Q8—831no—
888C2×C22⋊Q8—831no—
889C2×C22⋊Q8—831no—
890C2×C22⋊Q8—831no—
891C2×C22⋊Q8C2×D8311yescharacteristic
892C2×C22⋊Q8C2×D8311yescharacteristic, complemented
893C2×#121—831no—
894C2×#121—831no—
895C2×#121—831no—
896C2×#121—831no—
897C2×#120—831no—
898C2×#120—831no—
899C2×#120—831no—
900C2×C4×D4—831no—
901C2×C4×D4—831no—
902C2×C4×D4—831no—
903C2×C4×D4—831no—
904C2×C4×D4—831no—
905C2×#117—831no—
906C22×C4⋊C4—831no—
907#400—831no—
908#399—831no—
909#398—831no—
910#398—831no—
911#398—831no—
912#398—831no—
913#398—831no—
914#398C2×D8311yescharacteristic, complemented
915#398C2×D8311yescharacteristic, complemented
916#397—831no—
917#397—831no—
918#397—831no—
919#397—831no—
920#397—831no—
921#397C2×D8311yescharacteristic
922#397C2×D8311yescharacteristic, complemented
923#396—831no—
924#396—831no—
925#396—831no—
926#396—831no—
927#396—831no—
928#396—831no—
929#396—831no—
930#396—831no—
931#396—831no—
932#396—831no—
933#395—831no—
934#395—831no—
935#395C2×D8311yescharacteristic, complemented
936#394—831no—
937#394—831no—
938#394—831no—
939#394—831no—
940#394—831no—
941#394—831no—
942#394—831no—
943#394—831no—
944#394—831no—
945#394—831no—
946#394—831no—
947#394—831no—
948#394C2×D8311yescharacteristic
949#393—831no—
950#392—831no—
951#392—831no—
952#392—831no—
953#392—831no—
954#392—831no—
955#391—831no—
956#390—831no—
957#390—831no—
958#390—831no—
959#390—831no—
960#390—831no—
961#390—831no—
962#390—831no—
963#390—831no—
964#389—831no—
965#389—831no—
966#389—831no—
967#389—831no—
968#389—831no—
969#388—831no—
970#388—831no—
971#388—831no—
972#388—831no—
973#388—831no—
974#388—831no—
975#388—831no—
976#388—831no—
977#388—831no—
978#388—831no—
979#388C2×D8311yescharacteristic
980#388C2×D8311yescharacteristic, complemented
981#387—831no—
982#387—831no—
983#387—831no—
984#387—831no—
985#386—831no—
986#386—831no—
987#386—831no—
988#386—831no—
989#386—831no—
990#386—831no—
991#386—831no—
992#386—831no—
993#386—831no—
994#386—831no—
995#385—831no—
996#385—831no—
997#385—831no—
998#385—831no—
999#385—831no—
1000#385—831no—
1001#385—831no—
1002#385—831no—
1003#385—831no—
1004#385—831no—
1005#385—831no—
1006#385—831no—
1007#385—831no—
1008#385—831no—
1009#385C2×D8311yescharacteristic
1010#385C2×D8311yescharacteristic, complemented
1011#384C2×D8311yescharacteristic, complemented
1012#382—831no—
1013#381—831no—
1014#381—831no—
1015#381—831no—
1016#380—831no—
1017#380—831no—
1018#380—831no—
1019#380—831no—
1020#379—831no—
1021#379—831no—
1022#379—831no—
1023C4×C4⋊C4—831no—
1024#376—831no—
1025C25—831no—
1026C2×#41—3322no—
1027C2×#41—3322no—
1028C2×#41—1664no—
1029C22×Q8—831no—
1030C22×Q8C22×D8311yescharacteristic
1031C22×D4—831no—
1032C22×D4—831no—
1033C22×D4—831no—
1034C22×D4—831no—
1035C22×D4—831no—
1036C22×D4—831no—
1037C22×D4—831no—
1038C22×D4—831no—
1039C22×D4—831no—
1040C22×D4—831no—
1041C22×D4—831no—
1042C22×D4C22×D8311yescharacteristic
1043C23×C4—3322no—
1044C23×C4—3322no—
1045C23×C4—831no—
1046C23×C4—831no—
1047C23×C4—831no—
1048C23×C4—831no—
1049C23×C4—831no—
1050C23×C4—831no—
1051C23×C4—831no—
1052C23×C4—831no—
1053C23×C4—831no—
1054C23×C4—1664no—
1055C23×C4C22×D8311yescharacteristic
1056C23×C4C22×D8311yescharacteristic
1057#126—1664no—
1058#126—1664no—
1059#125—1664no—
1060#125—1664no—
1061#123—24no—
1062#123—42no—
1063#123—3322no—
1064#123—3322no—
1065#123—1664no—
1066#123—1664no—
1067#123—1664no—
1068#123—1664no—
1069#123—1664no—
1070C22⋊Q8—24no—
1071C22⋊Q8—42no—
1072C22⋊Q8—3322no—
1073C22⋊Q8—3322no—
1074C22⋊Q8—1664no—
1075C22⋊Q8—1664no—
1076C22⋊Q8—1664no—
1077C22⋊Q8—1664no—
1078#121—3322no—
1079#121—1664no—
1080#121—1664no—
1081#121—1664no—
1082#120—3322no—
1083#120—1664no—
1084#120—1664no—
1085C4×D4—838no—
1086C4×D4—1664no—
1087C4×D4—1664no—
1088C4×D4—1664no—
1089C4×D4—1664no—
1090#117—1664no—
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⋊C4—831no—
1099C2×C4⋊C4—831no—
1100C2×C4⋊C4—831no—
1101C2×C4⋊C4—831no—
1102C2×C4⋊C4—831no—
1103C2×C4⋊C4—831no—
1104C2×C4⋊C4—831no—
1105C2×C4⋊C4—831no—
1106C2×C4⋊C4—831no—
1107C2×C4⋊C4—831no—
1108C2×C4⋊C4—831no—
1109C2×C4⋊C4—831no—
1110C2×C4⋊C4—831no—
1111C2×C4⋊C4—831no—
1112C2×C4⋊C4—831no—
1113C2×C4⋊C4—831no—
1114C2×C4⋊C4—831no—
1115C2×C4⋊C4—831no—
1116C2×C4⋊C4—831no—
1117C2×C4⋊C4—1664no—
1118C2×C4⋊C4C22×D8311yescharacteristic
1119C2×C4⋊C4C22×D8311yescharacteristic
1120C2×C4⋊C4C22×D8311yescharacteristic
1121C2×C4⋊C4C22×D8311yescharacteristic
1122C2×C4⋊C4C22×D8311yescharacteristic
1123C2×C4⋊C4C22×D8311yescharacteristic
1124C2×C4⋊C4C22×D8311yescharacteristic
1125C2×C4⋊C4C22×D8311yescharacteristic
1126C2×C4⋊C4C22×D8311yescharacteristic
1127C2×C4⋊C4C22×D8311yescharacteristic
1128C2×C4⋊C4C22×D8311yescharacteristic
1129C2×C4⋊C4C22×D8311yescharacteristic
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⋊C4—831no—
1138C2×C22⋊C4—831no—
1139C2×C22⋊C4—831no—
1140C2×C22⋊C4—831no—
1141C2×C22⋊C4—831no—
1142C2×C22⋊C4—831no—
1143C2×C22⋊C4—831no—
1144C2×C22⋊C4—831no—
1145C2×C22⋊C4—831no—
1146C2×C22⋊C4—831no—
1147C2×C22⋊C4—831no—
1148C2×C22⋊C4—831no—
1149C2×C22⋊C4—831no—
1150C2×C22⋊C4—831no—
1151C2×C22⋊C4—831no—
1152C2×C22⋊C4—831no—
1153C2×C22⋊C4—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⋊C4C22×D8311yescharacteristic
1173C2×C22⋊C4C22×D8311yescharacteristic
1174C2×C22⋊C4C22×D8311yescharacteristic
1175C2×C22⋊C4C22×D8311yescharacteristic
1176C2×C22⋊C4C22×D8311yescharacteristic
1177C2×C22⋊C4C22×D8311yescharacteristic
1178C2×C22⋊C4C22×D8311yescharacteristic
1179C2×C22⋊C4C22×D8311yescharacteristic
1180C2×C22⋊C4C22×D8311yescharacteristic
1181C2×C22⋊C4C22×D8311yescharacteristic
1182C2×C42—831no—
1183C2×C42—831no—
1184C2×C42—831no—
1185C2×C42—831no—
1186C2×C42—831no—
1187C2×C42—831no—
1188C2×C42C22×D8311yescharacteristic
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#95—831no—
1199#95—831no—
1200#95—831no—
1201#95—831no—
1202#95—831no—
1203#95—831no—
1204#95—831no—
1205#95—831no—
1206#95—831no—
1207#95—831no—
1208#95—831no—
1209#95—831no—
1210#95—831no—
1211#95—831no—
1212#95—831no—
1213#95C22×D8311yescharacteristic
1214#95C22×D8311yescharacteristic
1215#95C22×D8311yescharacteristic
1216#95C22×D8311yescharacteristic
1217#95C22×D8311yescharacteristic
1218#95C22×D8311yescharacteristic
1219#95C22×D8311yescharacteristic
1220#95C22×D8311yescharacteristic
1221C24—3321no—
1222C24—3321no—
1223C24—3321no—
1224C24—3321no—
1225C24—831no—
1226C24—831no—
1227C24—831no—
1228C24—831no—
1229C24—1662no—
1230C24—1662no—
1231C24—1662no—
1232C24C23×D8311yescharacteristic
1233C24C23×D8311yescharacteristic
1234#41—33216no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—41no—
1238C2×Q8—3321no—
1239C2×Q8—3321no—
1240C2×Q8—1662no—
1241C2×D4—22no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—3321no—
1245C2×D4—3321no—
1246C2×D4—3321no—
1247C2×D4—3321no—
1248C2×D4—3321no—
1249C2×D4—3321no—
1250C2×D4—3321no—
1251C2×D4—3321no—
1252C2×D4—3321no—
1253C2×D4—3321no—
1254C2×D4—3321no—
1255C2×D4—3321no—
1256C2×D4—3321no—
1257C2×D4—3321no—
1258C2×D4—3321no—
1259C2×D4—3321no—
1260C2×D4—3321no—
1261C2×D4—3321no—
1262C2×D4—834no—
1263C2×D4—1662no—
1264C2×D4—1662no—
1265C2×D4—1662no—
1266C2×D4—1662no—
1267C2×D4—1662no—
1268C2×D4—1662no—
1269C2×D4—1662no—
1270C2×D4—1662no—
1271C2×D4—1662no—
1272C2×D4—1662no—
1273C2×D4—1662no—
1274C2×D4—1662no—
1275C2×D4—1662no—
1276C2×D4—1662no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
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—3321no—
1295C22×C4—33216no—
1296C22×C4—3321no—
1297C22×C4—3321no—
1298C22×C4—834no—
1299C22×C4—834no—
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—831no—
1312C22×C4—1662no—
1313C22×C4—1662no—
1314C22×C4—1662no—
1315C22×C4—1662no—
1316C22×C4—1662no—
1317C22×C4—1662no—
1318C22×C4—1662no—
1319C22×C4—1662no—
1320C22×C4—1662no—
1321C22×C4—1662no—
1322C22×C4—1662no—
1323C22×C4C23×D8311yescharacteristic
1324C22×C4C23×D8311yescharacteristic
1325C22×C4C23×D8311yescharacteristic
1326C22×C4C23×D8311yescharacteristic
1327C22×C4C23×D8311yescharacteristic
1328C22×C4C23×D8311yescharacteristic
1329C22×C4C23×D8311yescharacteristic
1330C22×C4C23×D8311yescharacteristic
1331C22×C4C23×D8311yescharacteristic
1332C22×C4C23×D8311yescharacteristic
1333C22×C4C23×D8311yescharacteristic
1334C22×C4C23×D8311yescharacteristic
1335C22×C4C23×D8311yescharacteristic
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—3321no—
1349C4⋊C4—3321no—
1350C4⋊C4—3321no—
1351C4⋊C4—3321no—
1352C4⋊C4—3321no—
1353C4⋊C4—3321no—
1354C4⋊C4—3321no—
1355C4⋊C4—3321no—
1356C4⋊C4—3321no—
1357C4⋊C4—3321no—
1358C4⋊C4—3321no—
1359C4⋊C4—834no—
1360C4⋊C4—1662no—
1361C4⋊C4—1662no—
1362C4⋊C4—1662no—
1363C4⋊C4—1662no—
1364C4⋊C4—1662no—
1365C4⋊C4—1662no—
1366C4⋊C4—1662no—
1367C4⋊C4—1662no—
1368C4⋊C4—1662no—
1369C4⋊C4—1662no—
1370C4⋊C4—1662no—
1371C4⋊C4—1662no—
1372C4⋊C4—1662no—
1373C4⋊C4—1662no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—3321no—
1384C22⋊C4—3321no—
1385C22⋊C4—3321no—
1386C22⋊C4—3321no—
1387C22⋊C4—3321no—
1388C22⋊C4—3321no—
1389C22⋊C4—3321no—
1390C22⋊C4—3321no—
1391C22⋊C4—3321no—
1392C22⋊C4—3321no—
1393C22⋊C4—3321no—
1394C22⋊C4—3321no—
1395C22⋊C4—3321no—
1396C22⋊C4—3321no—
1397C22⋊C4—3321no—
1398C22⋊C4—3321no—
1399C22⋊C4—3321no—
1400C22⋊C4—3321no—
1401C22⋊C4—3321no—
1402C22⋊C4—3321no—
1403C22⋊C4—3321no—
1404C22⋊C4—3321no—
1405C22⋊C4—3321no—
1406C22⋊C4—3321no—
1407C22⋊C4—834no—
1408C22⋊C4—1662no—
1409C22⋊C4—1662no—
1410C22⋊C4—1662no—
1411C22⋊C4—1662no—
1412C22⋊C4—1662no—
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⋊C4D4×D8314yes—
1426C42—41no—
1427C42—3321no—
1428C42—3321no—
1429C42—3321no—
1430C42—834no—
1431C42—1662no—
1432C42—1662no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—3324no—
1447C23—3324no—
1448C23—3324no—
1449C23—3324no—
1450C23—3324no—
1451C23—3324no—
1452C23—3324no—
1453C23—832no—
1454C23—832no—
1455C23—832no—
1456C23—1661no—
1457C23—1661no—
1458C23—1661no—
1459C23—1661no—
1460C23—1661no—
1461C23—1661no—
1462C23—1661no—
1463C23—1661no—
1464C23—1661no—
1465C23—1661no—
1466C23—1661no—
1467C23—1661no—
1468C23—1661no—
1469C23—1661no—
1470C23—1661no—
1471C23—1661no—
1472C23—1661no—
1473C23—1661no—
1474C23—1661no—
1475C23—1661no—
1476C23—1661no—
1477C23—1661no—
1478C23—1661no—
1479C23—1661no—
1480C23—1661no—
1481C23C2×D4×D8312yes—
1482C23C24×D8311yescharacteristic
1483Q8—44no—
1484Q8—6642no—
1485D4—82no—
1486D4—3324no—
1487D4—3324no—
1488D4—3324no—
1489D4—3324no—
1490D4—3324no—
1491D4—3324no—
1492D4—3324no—
1493D4—3324no—
1494D4—6642no—
1495D4—6642no—
1496D4—6642no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—44no—
1534C2×C4—82no—
1535C2×C4—3324no—
1536C2×C4—3324no—
1537C2×C4—3324no—
1538C2×C4—3324no—
1539C2×C4—3324no—
1540C2×C4—3324no—
1541C2×C4—3324no—
1542C2×C4—832no—
1543C2×C4—832no—
1544C2×C4—832no—
1545C2×C4—6642no—
1546C2×C4—1668no—
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×C4—1661no—
1562C2×C4—1661no—
1563C2×C4—1661no—
1564C2×C4—1661no—
1565C2×C4—1661no—
1566C2×C4—1661no—
1567C2×C4—1661no—
1568C2×C4—1661no—
1569C2×C4—1661no—
1570C2×C4—1661no—
1571C2×C4—1661no—
1572C2×C4—1661no—
1573C2×C4—1661no—
1574C2×C4—1661no—
1575C2×C4—1661no—
1576C2×C4—1661no—
1577C2×C4—1661no—
1578C2×C4—1661no—
1579C2×C4—1661no—
1580C2×C4C2×D4×D8312yes—
1581C2×C4C2×D4×D8312yes—
1582C2×C4#1458183712yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—33216no—
1598C22—3321no—
1599C22—3321no—
1600C22—3321no—
1601C22—3321no—
1602C22—3321no—
1603C22—3321no—
1604C22—3321no—
1605C22—3321no—
1606C22—3321no—
1607C22—3321no—
1608C22—3321no—
1609C22—3321no—
1610C22—3321no—
1611C22—3321no—
1612C22—3321no—
1613C22—3321no—
1614C22—3321no—
1615C22—3321no—
1616C22—3321no—
1617C22—1662no—
1618C22—1662no—
1619C22—1662no—
1620C22—1662no—
1621C22—1662no—
1622C22—1662no—
1623C22—1662no—
1624C22—1662no—
1625C22—1662no—
1626C22C22×D4×D8311yescharacteristic
1627C22H(5,𝔽2)×D8311yescharacteristic
1628C22C2×#1458183711yescharacteristic
1629C222−1+4×D8311yescharacteristic
1630C22#1912853711yescharacteristic
1631C22#1912853811yescharacteristic
1632C22#1912853811yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—3321no—
1647C4—3321no—
1648C4—3321no—
1649C4—3321no—
1650C4—3321no—
1651C4—3321no—
1652C4—3321no—
1653C4—3321no—
1654C4—3321no—
1655C4—1662no—
1656C4—1662no—
1657C4—1662no—
1658C2—42no—
1659C2—81no—
1660C2—3322no—
1661C2—3322no—
1662C2—3322no—
1663C2—6641no—
1664C2#2492079511yescharacteristic
1665C2#2492109111yescharacteristic
1666C2#2492113711yescharacteristic
1667C2#2492163811yescharacteristic
1668C2#2492167411yescharacteristic
1669C2#2492171811yescharacteristic
1670C2#2492175811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2680C2
hypercenter#2680D83
hypocenterC83#36723
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2680

Complements

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

NH ≅ G/Ntype
1. C2×#19128294C2semidirect
2. C2×#19128214C2semidirect
3. #24915752C2semidirect
4. #24915749C2semidirect
5. #24914171C2semidirect
6. #24914144C2semidirect
7. #24914128C2semidirect
8. #24914101C2semidirect
9. #24914080C2semidirect
10. #24914033C2semidirect
11. #24914028C2semidirect
12. #24913852C2semidirect
13. #24913833C2semidirect
14. #24913828C2semidirect
15. #24913816C2semidirect
16. #24913808C2semidirect
17. #24913803C2semidirect
18. #24913795C2semidirect
19. #24913782C2semidirect
20. #24913382C2semidirect
21. #24913303C2semidirect
22. #24913156C2semidirect
23. #24913093C2semidirect
24. #24913067C2semidirect
25. #24913049C2semidirect
26. #24912811C2semidirect
27. #24912660C2semidirect
28. #24910810C2semidirect
29. #24910799C2semidirect
30. #24910104C2semidirect
31. C83×#2680C2semidirect
36. C2×#14581785C22semidirect
37. C2×#14581783C22semidirect
38. C2×#14581782C22semidirect
43. C2×#14581777C22semidirect
45. C2×#14581774C22semidirect
47. C2×#14581771C22semidirect
50. C2×#14581770C22semidirect
62. C2×C4×C22⋊D83C22semidirect
66. C2×C4⋊C4×D83C22semidirect
67. #19127640C22semidirect
69. #19127635C22semidirect
70. #19127635C22semidirect
71. #19127634C22semidirect
72. #19127632C22semidirect
73. #19127632C22semidirect
74. #19127630C22semidirect
78. #19127627C22semidirect
80. #19127625C22semidirect
81. #19127624C22semidirect
82. #19127624C22semidirect
87. #19127623C22semidirect
88. #19127623C22semidirect
89. #19127621C22semidirect
90. #19127620C22semidirect
96. #19127618C22semidirect
99. #19127617C22semidirect
102. #19127616C22semidirect
103. #19127614C22semidirect
107. #19127610C22semidirect
109. #19127608C22semidirect
117. #19127601C22semidirect
118. #19127600C22semidirect
119. #19127600C22semidirect
120. #19127598C22semidirect
121. #19127596C22semidirect
122. #19127596C22semidirect
123. #19127595C22semidirect
129. #19127592C22semidirect
131. #19127590C22semidirect
132. #19127590C22semidirect
133. #19127588C22semidirect
134. #19127584C22semidirect
135. #19127584C22semidirect
136. #19127582C22semidirect
141. #19127579C22semidirect
146. #19127577C22semidirect
149. #19127575C22semidirect
150. #19127575C22semidirect
158. #19127572C22semidirect
159. #19127572C22semidirect
160. #19127572C22semidirect
161. #19127566C22semidirect
163. #19127563C22semidirect
168. #19127558C22semidirect
172. C4×Dic83⋊C4C22semidirect
173. #19127546C22semidirect
177. C2×C22⋊Q8×C83C22semidirect
178. #398×C83C22semidirect
179. #398×C83C22semidirect
181. #397×C83C22semidirect
182. #395×C83C22semidirect
185. #388×C83C22semidirect
187. #385×C83C22semidirect
188. #384×C83C22semidirect
245. (C22⋊D83)⋊C4D4semidirect
853. #2680D83semidirect
867. C83#36723semidirect
892. C2×C22⋊Q8C2×D83semidirect
914. #398C2×D83semidirect
915. #398C2×D83semidirect
922. #397C2×D83semidirect
935. #395C2×D83semidirect
980. #388C2×D83semidirect
1010. #385C2×D83semidirect
1011. #384C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282942
C2×#191282142
#249157522
#249157492
#249141712
#249141442
#249141282
#249141012
#249140802
#249140332
#249140282
#249138522
#249138332
#249138282
#249138162
#249138082
#249138032
#249137952
#249137822
#249133822
#249133032
#249131562
#249130932
#249130672
#249130492
#249128112
#249126602
#249108102
#249107992
#249101042
C83×#26802
#3672383