Finite Group Databasebeta

← #35611400

Subgroups — #35611400

Order 21248.

2450 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128326C211yesmaximal, characteristic, complemented
2C2×#123×D83C211yesmaximal, characteristic
3#24915749C211yesmaximal, characteristic, complemented
4#24915747C211yesmaximal, characteristic, complemented
5#24913891C211yesmaximal, characteristic, complemented
6#24913890C211yesmaximal, characteristic, complemented
7#24913887C211yesmaximal, characteristic, complemented
8#24913886C211yesmaximal, characteristic, complemented
9#24913882C211yesmaximal, characteristic, complemented
10#24913881C211yesmaximal, characteristic, complemented
11#24913878C211yesmaximal, characteristic, complemented
12#24913877C211yesmaximal, characteristic, complemented
13#24913807C211yesmaximal, characteristic, complemented
14#24913805C211yesmaximal, characteristic, complemented
15#24913803C211yesmaximal, characteristic, complemented
16#24913802C211yesmaximal, characteristic, complemented
17#24913802C211yesmaximal, characteristic, complemented
18#24913800C211yesmaximal, characteristic, complemented
19#24913799C211yesmaximal, characteristic, complemented
20#24913281C211yesmaximal, characteristic, complemented
21#24913275C211yesmaximal, characteristic, complemented
22#24912619C211yesmaximal, characteristic, complemented
23#24912615C211yesmaximal, characteristic, complemented
24#24911938C211yesmaximal, characteristic, complemented
25#24911936C211yesmaximal, characteristic, complemented
26#24911743C211yesmaximal, characteristic, complemented
27#24911740C211yesmaximal, characteristic, complemented
28#24910787C211yesmaximal, characteristic
29#24910785C211yesmaximal, characteristic
30#24910057C211yesmaximal, characteristic, complemented
31C83×#2680C211yesmaximal, characteristic, complemented
32C22×D4×D83C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34#19128326—28no—
35C2×#14581777C2211yescharacteristic
36C2×#14581777C2211yescharacteristic
37C2×#14581777C2211yescharacteristic
38C2×#14581776C2211yescharacteristic
39C2×#14581775C2211yescharacteristic
40C2×#14581775C2211yescharacteristic
41C2×#14581774C2211yescharacteristic
42C2×#14581774C2211yescharacteristic
43C2×#14581774C2211yescharacteristic
44C2×#14581773C2211yescharacteristic
45#123×D83—28no—
46C2×#14581772C2211yescharacteristic
47C2×#14581772C2211yescharacteristic, complemented
48C2×#14581771C2211yescharacteristic, complemented
49C2×#14581770C2211yescharacteristic
50C2×#14581770C2211yescharacteristic
51C2×#14581770C2211yescharacteristic, complemented
52C2×#14581770C2211yescharacteristic, complemented
53C2×#14581770C2211yescharacteristic, complemented
54C2×#14581769C2211yescharacteristic, complemented
55C2×#14581769C2211yescharacteristic, complemented
56C2×#14581769C2211yescharacteristic, complemented
57C2×#14581768C2211yescharacteristic
58C2×#14581768C2211yescharacteristic, complemented
59C2×#14581768C2211yescharacteristic, complemented
60C2×C4⋊C4×D83C2211yescharacteristic
61C2×C4⋊C4×D83C2211yescharacteristic
62C22×(C2×D83)⋊C4C2211yescharacteristic
63C2×C22⋊C4×D83C2211yescharacteristic
64C2×C22⋊C4×D83C2211yescharacteristic
65C2×C22⋊C4×D83C2211yescharacteristic
66C2×C22⋊C4×D83C2211yescharacteristic
67#19127643C2211yescharacteristic, complemented
68#19127642C2211yescharacteristic, complemented
69#19127641C2211yescharacteristic, complemented
70#19127640C2211yescharacteristic, complemented
71#19127635C2211yescharacteristic, complemented
72#19127635C2211yescharacteristic, complemented
73#19127634C2211yescharacteristic, complemented
74#19127634C2211yescharacteristic, complemented
75#19127634C2211yescharacteristic, complemented
76#19127634C2211yescharacteristic, complemented
77#19127634C2211yescharacteristic, complemented
78#19127634C2211yescharacteristic, complemented
79#19127633C2211yescharacteristic, complemented
80#19127632C2211yescharacteristic, complemented
81#19127632C2211yescharacteristic, complemented
82#19127632C2211yescharacteristic, complemented
83#19127631C2211yescharacteristic, complemented
84#19127631C2211yescharacteristic, complemented
85#19127630C2211yescharacteristic, complemented
86#19127630C2211yescharacteristic, complemented
87#19127630C2211yescharacteristic, complemented
88#19127629C2211yescharacteristic, complemented
89#19127629C2211yescharacteristic, complemented
90#19127629C2211yescharacteristic, complemented
91#19127627C2211yescharacteristic, complemented
92#19127627C2211yescharacteristic, complemented
93#19127627C2211yescharacteristic, complemented
94#19127626C2211yescharacteristic, complemented
95#19127622C2211yescharacteristic, complemented
96#19127621C2211yescharacteristic, complemented
97#19127620C2211yescharacteristic, complemented
98#19127618C2211yescharacteristic
99#19127618C2211yescharacteristic
100#19127617C2211yescharacteristic
101#19127616C2211yescharacteristic
102#19127616C2211yescharacteristic
103#19127616C2211yescharacteristic
104#19127615C2211yescharacteristic
105#19127614C2211yescharacteristic, complemented
106#19127614C2211yescharacteristic, complemented
107#19127613C2211yescharacteristic, complemented
108#19127613C2211yescharacteristic, complemented
109#19127607C2211yescharacteristic, complemented
110#19127606C2211yescharacteristic, complemented
111#19127605C2211yescharacteristic, complemented
112#19127605C2211yescharacteristic, complemented
113#19127595C2211yescharacteristic, complemented
114#19127595C2211yescharacteristic, complemented
115#19127594C2211yescharacteristic, complemented
116#19127594C2211yescharacteristic, complemented
117#19127594C2211yescharacteristic, complemented
118#19127593C2211yescharacteristic, complemented
119#19127593C2211yescharacteristic, complemented
120#19127593C2211yescharacteristic, complemented
121#19127592C2211yescharacteristic, complemented
122#19127592C2211yescharacteristic, complemented
123#19127591C2211yescharacteristic, complemented
124#19127591C2211yescharacteristic, complemented
125#19127590C2211yescharacteristic, complemented
126#19127589C2211yescharacteristic, complemented
127#19127581C2211yescharacteristic
128#19127579C2211yescharacteristic
129#19127578C2211yescharacteristic
130#19127577C2211yescharacteristic
131#19127575C2211yescharacteristic
132#19127575C2211yescharacteristic
133#19127575C2211yescharacteristic, complemented
134#19127575C2211yescharacteristic, complemented
135#19127574C2211yescharacteristic, complemented
136#19127574C2211yescharacteristic, complemented
137#19127573C2211yescharacteristic, complemented
138#19127573C2211yescharacteristic, complemented
139#19127572C2211yescharacteristic
140#19127572C2211yescharacteristic
141#19127572C2211yescharacteristic
142#19127572C2211yescharacteristic
143#19127572C2211yescharacteristic
144#19127572C2211yescharacteristic
145#19127572C2211yescharacteristic, complemented
146#19127572C2211yescharacteristic, complemented
147#19127572C2211yescharacteristic, complemented
148#19127572C2211yescharacteristic, complemented
149#19127570C2211yescharacteristic, complemented
150#19127570C2211yescharacteristic, complemented
151#19127570C2211yescharacteristic, complemented
152#19127563C2211yescharacteristic
153#19127563C2211yescharacteristic
154#19127563C2211yescharacteristic
155#19127563C2211yescharacteristic
156#19127563C2211yescharacteristic, complemented
157#19127563C2211yescharacteristic, complemented
158#19127562C2211yescharacteristic, complemented
159#19127562C2211yescharacteristic, complemented
160#19127561C2211yescharacteristic, complemented
161#19127560C2211yescharacteristic
162#19127560C2211yescharacteristic, complemented
163#19127559C2211yescharacteristic, complemented
164#19127558C2211yescharacteristic
165#19127558C2211yescharacteristic, complemented
166#19127556C2211yescharacteristic
167#19127556C2211yescharacteristic
168#19127556C2211yescharacteristic
169#19127556C2211yescharacteristic
170#19127556C2211yescharacteristic
171#19127556C2211yescharacteristic
172C4×(C2×D83)⋊C4C2211yescharacteristic
173#19127548C2211yescharacteristic
174C2×#123×C83C2211yescharacteristic
175C2×#123×C83C2211yescharacteristic
176C2×C22⋊Q8×C83C2211yescharacteristic, complemented
177C2×C22⋊Q8×C83C2211yescharacteristic, complemented
178#398×C83C2211yescharacteristic, complemented
179#398×C83C2211yescharacteristic, complemented
180#397×C83C2211yescharacteristic, complemented
181#397×C83C2211yescharacteristic, complemented
182#395×C83C2211yescharacteristic, complemented
183#394×C83C2211yescharacteristic
184#388×C83C2211yescharacteristic, complemented
185#388×C83C2211yescharacteristic, complemented
186#385×C83C2211yescharacteristic, complemented
187#385×C83C2211yescharacteristic, complemented
188#384×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C24×D83C2311yescharacteristic
191C22×Dic166C2311yescharacteristic
192C22×Dic166C2311yescharacteristic
193C22×Dic166C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C2×D4×D83—24no—
198C2×D4×D83—42no—
199C2×D4×D83—42no—
200C23×Dic83C2311yescharacteristic
201C23×Dic83C2311yescharacteristic
202C22×C4×D83—24no—
203C22×C4×D83—42no—
204C22×C4×D83—42no—
205C22×C4×D83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208C22×C4×D83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214#14581777—24no—
215#14581777—24no—
216#14581777—42no—
217#14581776—24no—
218#14581775—24no—
219#14581775—42no—
220#14581774—24no—
221#14581774—24no—
222#14581774—42no—
223#14581773—24no—
224#14581772—24no—
225#14581772—24no—
226#14581771—24no—
227#14581770—24no—
228#14581770—24no—
229#14581770—24no—
230#14581770—24no—
231#14581770—42no—
232#14581769—24no—
233#14581769—24no—
234#14581769—42no—
235#14581768—24no—
236#14581768—24no—
237#14581768—42no—
238C2×C4⋊Dic83C2311yescharacteristic
239C2×C4⋊Dic83C2311yescharacteristic
240C2×C4⋊Dic83C2311yescharacteristic
241C2×C4⋊Dic83C2311yescharacteristic
242C2×C4⋊Dic83C2311yescharacteristic
243C2×C4⋊Dic83C2311yescharacteristic
244C2×C4⋊Dic83C2311yescharacteristic
245C2×C4⋊Dic83C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×Dic83⋊C4C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C2×Dic83⋊C4C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×Dic83⋊C4C2311yescharacteristic
256C2×Dic83⋊C4C2311yescharacteristic
257C2×Dic83⋊C4C2311yescharacteristic
258C2×Dic83⋊C4C2311yescharacteristic
259C2×Dic83⋊C4C2311yescharacteristic
260C2×Dic83⋊C4C2311yescharacteristic
261C2×Dic83⋊C4C2311yescharacteristic
262C2×Dic83⋊C4C2311yescharacteristic
263C2×Dic83⋊C4C2311yescharacteristic
264C2×Dic83⋊C4C2311yescharacteristic
265C2×Dic83⋊C4C2311yescharacteristic
266C4⋊C4×D83—24no—
267C4⋊C4×D83—24no—
268C2×C22⋊Dic83C2311yescharacteristic
269C2×C22⋊Dic83C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×C22⋊Dic83C2311yescharacteristic
272C2×C22⋊Dic83C2311yescharacteristic
273C2×C22⋊Dic83C2311yescharacteristic
274C2×C22⋊Dic83C2311yescharacteristic
275C2×C22⋊Dic83C2311yescharacteristic
276C2×C22⋊Dic83C2311yescharacteristic
277C2×C22⋊Dic83C2311yescharacteristic
278C2×(C2×D83)⋊C4—24no—
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
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
307C22⋊C4×D83—24no—
308C22⋊C4×D83—24no—
309C22⋊C4×D83—24no—
310C22⋊C4×D83D418yes—
311C2×C4×Dic83C2311yescharacteristic
312C2×C4×Dic83C2311yescharacteristic
313C2×C4×Dic83C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C83⋊#95C2311yescharacteristic
341C83⋊#95C2311yescharacteristic
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—22no—
389C23×D83—22no—
390C23×D83—22no—
391C23×D83—22no—
392C23×D83—41no—
393C23×D83—41no—
394C23×D83—41no—
395C23×D83—41no—
396C23×D83—41no—
397C23×D83—41no—
398C23×D83C2×D414yes—
399C23×D83C2411yescharacteristic
400C23×D83C2411yescharacteristic
401C23×D83C2411yescharacteristic
402C2×Dic166—22no—
403C2×Dic166—22no—
404C2×Dic166—22no—
405C2×Dic166—41no—
406C2×Dic166—41no—
407C2×Dic166—41no—
408C2×Dic166—41no—
409C2×Dic166—41no—
410C2×Dic166—41no—
411C2×D332—22no—
412C2×D332—22no—
413C2×D332—41no—
414C2×C22⋊D83—22no—
415C2×C22⋊D83—22no—
416C2×C22⋊D83—22no—
417C2×C22⋊D83—22no—
418C2×C22⋊D83—41no—
419C2×C22⋊D83—41no—
420D4×D83—416no—
421C22×Dic83—22no—
422C22×Dic83—22no—
423C22×Dic83—22no—
424C22×Dic83—41no—
425C22×Dic83—41no—
426C22×Dic83—41no—
427C22×Dic83C2411yescharacteristic
428C22×Dic83C2411yescharacteristic
429C22×Dic83C2411yescharacteristic
430C22×Dic83C2411yescharacteristic
431C22×Dic83C2411yescharacteristic
432C22×Dic83C2411yescharacteristic
433C22×Dic83C2411yescharacteristic
434C22×Dic83C2411yescharacteristic
435C22×Dic83C2411yescharacteristic
436C22×Dic83C2411yescharacteristic
437C22×Dic83C2411yescharacteristic
438C22×Dic83C2411yescharacteristic
439C22×Dic83C2411yescharacteristic
440C2×C4×D83—22no—
441C2×C4×D83—22no—
442C2×C4×D83—22no—
443C2×C4×D83—22no—
444C2×C4×D83—22no—
445C2×C4×D83—22no—
446C2×C4×D83—22no—
447C2×C4×D83—22no—
448C2×C4×D83—22no—
449C2×C4×D83—22no—
450C2×C4×D83—22no—
451C2×C4×D83—41no—
452C2×C4×D83—41no—
453C2×C4×D83—41no—
454C2×C4×D83—41no—
455C2×C4×D83—41no—
456C2×C4×D83—41no—
457C2×C4×D83—41no—
458C2×C4×D83—41no—
459C2×C4×D83—41no—
460C2×C4×D83—41no—
461C2×C4×D83—416no—
462C2×C4×D83—41no—
463C2×C4×D83—41no—
464C2×C4×D83—41no—
465C2×C4×D83—41no—
466C2×C4×D83C2×D414yes—
467C2×C4×D83C2×D414yes—
468C4⋊Dic83—22no—
469C4⋊Dic83—22no—
470C4⋊Dic83—22no—
471C4⋊Dic83—22no—
472C4⋊Dic83—22no—
473C4⋊Dic83—41no—
474C4⋊Dic83—41no—
475C4⋊Dic83—41no—
476Dic83⋊C4—22no—
477Dic83⋊C4—22no—
478Dic83⋊C4—22no—
479Dic83⋊C4—22no—
480Dic83⋊C4—22no—
481Dic83⋊C4—22no—
482Dic83⋊C4—22no—
483Dic83⋊C4—22no—
484Dic83⋊C4—22no—
485Dic83⋊C4—22no—
486Dic83⋊C4—41no—
487Dic83⋊C4—41no—
488Dic83⋊C4—41no—
489Dic83⋊C4—41no—
490Dic83⋊C4—41no—
491Dic83⋊C4—41no—
492Dic83⋊C4—41no—
493Dic83⋊C4—41no—
494Dic83⋊C4—41no—
495Dic83⋊C4—41no—
496C22⋊Dic83—22no—
497C22⋊Dic83—22no—
498C22⋊Dic83—22no—
499C22⋊Dic83—22no—
500C22⋊Dic83—41no—
501C22⋊Dic83—41no—
502C22⋊Dic83—41no—
503C22⋊Dic83—41no—
504C22⋊Dic83—41no—
505C22⋊Dic83C2×D414yes—
506(C2×D83)⋊C4—22no—
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—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—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)⋊C4C2×D414yes—
533(C2×D83)⋊C4C2×D414yes—
534C4×Dic83—41no—
535C4×Dic83—41no—
536C4×Dic83—41no—
537C24×C83C2411yescharacteristic
538C24×C83C2411yescharacteristic
539C2×Q8×C83—22no—
540C2×Q8×C83—41no—
541C2×Q8×C83—41no—
542C2×D4×C83—22no—
543C2×D4×C83—22no—
544C2×D4×C83—41no—
545C22×C4×C83—22no—
546C22×C4×C83—22no—
547C22×C4×C83—22no—
548C22×C4×C83—41no—
549C22×C4×C83—41no—
550C22×C4×C83—41no—
551C22×C4×C83C2411yescharacteristic
552C22×C4×C83C2411yescharacteristic
553C22×C4×C83C2411yescharacteristic
554C22×C4×C83C2411yescharacteristic
555C22×C4×C83C2411yescharacteristic
556C22×C4×C83C2411yescharacteristic
557C22×C4×C83C2411yescharacteristic
558C22×C4×C83C2411yescharacteristic
559C22×C4×C83C2411yescharacteristic
560C22×C4×C83C2411yescharacteristic
561C22×C4×C83C2411yescharacteristic
562C22×C4×C83C2411yescharacteristic
563C22×C4×C83C2411yescharacteristic
564C4⋊C4×C83—22no—
565C4⋊C4×C83—22no—
566C4⋊C4×C83—22no—
567C4⋊C4×C83—22no—
568C4⋊C4×C83—22no—
569C4⋊C4×C83—41no—
570C4⋊C4×C83—41no—
571C4⋊C4×C83—41no—
572C4⋊C4×C83—41no—
573C4⋊C4×C83—41no—
574C4⋊C4×C83—41no—
575C4⋊C4×C83—41no—
576C22⋊C4×C83—22no—
577C22⋊C4×C83—22no—
578C22⋊C4×C83—22no—
579C22⋊C4×C83—22no—
580C22⋊C4×C83—22no—
581C22⋊C4×C83—22no—
582C22⋊C4×C83—41no—
583C22⋊C4×C83—41no—
584C22⋊C4×C83—41no—
585C22⋊C4×C83C2×D414yes—
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×C83C22×D412yes—
600C23×C83H(5,𝔽2)12yes—
601C23×C83C2511yescharacteristic
602C22×D83—21no—
603C22×D83—21no—
604C22×D83—21no—
605C22×D83—21no—
606C22×D83—28no—
607C22×D83—21no—
608C22×D83—21no—
609C22×D83—21no—
610C22×D83—21no—
611C22×D83—21no—
612C22×D83—21no—
613C22×D83—21no—
614C22×D83—21no—
615C22×D83—21no—
616C22×D83—21no—
617C22×D83—21no—
618C22×D83—21no—
619C22×D83—28no—
620C22×D83—44no—
621C22×D83—44no—
622C22×D83—44no—
623C22×D83—44no—
624C22×D83—44no—
625C22×D83—44no—
626C22×D83—44no—
627C22×D83—44no—
628C22×D83—82no—
629C22×D83—82no—
630C22×D83—82no—
631C22×D83—82no—
632C22×D83C22×D412yes—
633C22×D83C22×D412yes—
634C22×D83H(5,𝔽2)12yes—
635C22×D832−1+412yes—
636C22×D832−1+412yes—
637Q8×C83—82no—
638D4×C83—44no—
639C2×C4×C83—21no—
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—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—44no—
677C2×C4×C83—82no—
678C2×C4×C83C22×D412yes—
679C2×C4×C83C22×D412yes—
680C22⋊D83—44no—
681C22⋊D83—44no—
682C2×Dic83—21no—
683C2×Dic83—21no—
684C2×Dic83—21no—
685C2×Dic83—21no—
686C2×Dic83—21no—
687C2×Dic83—21no—
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—44no—
720C2×Dic83—82no—
721C2×Dic83C22×D412yes—
722C2×Dic83C22×D412yes—
723D332—44no—
724C4×D83—44no—
725C4×D83—44no—
726C4×D83—44no—
727C4×D83—44no—
728C4×D83—44no—
729C4×D83—44no—
730C4×D83—44no—
731C4×D83—82no—
732C4×D83—82no—
733Dic166—82no—
734Dic166—82no—
735Dic166—82no—
736C22×C83—22no—
737C22×C83—22no—
738C22×C83—22no—
739C22×C83—22no—
740C22×C83—22no—
741C22×C83—22no—
742C22×C83—41no—
743C22×C83—41no—
744C22×C83—41no—
745C22×C83—41no—
746C22×C83—41no—
747C22×C83—41no—
748C22×C83—41no—
749C22×C83—41no—
750C22×C83C23×D411yescharacteristic
751C22×C83C2×H(5,𝔽2)11yescharacteristic
752C22×C83C2×H(5,𝔽2)11yescharacteristic
753C22×C83C2×2−1+411yescharacteristic
754C22×C83C2×2−1+411yescharacteristic
755C22×C83#58511yescharacteristic
756C22×C83#58511yescharacteristic
757C2×D83—22no—
758C2×D83—22no—
759C2×D83—22no—
760C2×D83—22no—
761C2×D83—22no—
762C2×D83—22no—
763C2×D83—22no—
764C2×D83—22no—
765C2×D83—22no—
766C2×D83—22no—
767C2×D83—22no—
768C2×D83—22no—
769C2×D83—416no—
770C2×D83—41no—
771C2×D83—41no—
772C2×D83—41no—
773C2×D83—41no—
774C2×D83—41no—
775C2×D83—41no—
776C2×D83—41no—
777C2×D83—41no—
778C2×D83—88no—
779C2×D83#53614yes—
780C4×C83—22no—
781C4×C83—22no—
782C4×C83—41no—
783C4×C83—41no—
784C4×C83—41no—
785C4×C83—41no—
786C4×C83—41no—
787C4×C83—41no—
788C4×C83—41no—
789C4×C83—41no—
790C4×C83—41no—
791C4×C83—41no—
792C4×C83—41no—
793Dic83—22no—
794Dic83—22no—
795Dic83—41no—
796Dic83—41no—
797Dic83—41no—
798Dic83—41no—
799Dic83—41no—
800Dic83—41no—
801Dic83—41no—
802Dic83—41no—
803Dic83—41no—
804Dic83—41no—
805Dic83—41no—
806#36720—831nomaximal, Sylow
807C2×C83—42no—
808C2×C83—42no—
809C2×C83C2×#53611yescharacteristic
810C2×C83#348411yescharacteristic
811C2×C83#348511yescharacteristic
812C2×C83#353511yescharacteristic
813C2×C83#353511yescharacteristic
814C2×C83#353511yescharacteristic
815C2×C83#353511yescharacteristic
816D83—24no—
817D83—42no—
818D83—42no—
819C2×#543—831no—
820C22×#123—831no—
821#2848—831no—
822#2848—831no—
823#2687—831no—
824#2687—831no—
825#2687—831no—
826#2687—831no—
827#2687—831no—
828#2687—831no—
829#2687—831no—
830#2687—831no—
831#2680—831no—
832#2680—831no—
833#2680—831no—
834#2680—831no—
835#2680—831no—
836#2680—831no—
837#2680—831no—
838#2680D8311yescharacteristic, complemented
839#2627—831no—
840#2627—831no—
841#2561—831no—
842#2561—831no—
843#2502—831no—
844#2502—831no—
845#2483—831no—
846#2483—831no—
847#2405—831no—
848#2405—831no—
849#2312—831no—
850C83#3672011yescharacteristic, complemented, Sylow
851C23×D4—831no—
852C24×C4—831no—
853#543—1668no—
854C2×#123—831no—
855C2×#123—831no—
856C2×#123—831no—
857C2×#123—831no—
858C2×#123—831no—
859C2×#123—831no—
860C2×#123—831no—
861C2×#123—831no—
862C2×#123—831no—
863C2×#123—831no—
864C2×#123—1668no—
865C2×#123C2×D8311yescharacteristic
866C2×#123C2×D8311yescharacteristic
867C2×C22⋊Q8—831no—
868C2×C22⋊Q8—831no—
869C2×C22⋊Q8—831no—
870C2×C22⋊Q8—831no—
871C2×C22⋊Q8—831no—
872C2×C22⋊Q8—831no—
873C2×C22⋊Q8—831no—
874C2×C22⋊Q8—831no—
875C2×C22⋊Q8—831no—
876C2×C22⋊Q8—831no—
877C2×C22⋊Q8—831no—
878C2×C22⋊Q8—831no—
879C2×C22⋊Q8—831no—
880C2×C22⋊Q8—831no—
881C2×C22⋊Q8C2×D8311yescharacteristic, complemented
882C2×C22⋊Q8C2×D8311yescharacteristic, complemented
883C22×C4⋊C4—831no—
884C22×C4⋊C4—831no—
885C22×C22⋊C4—831no—
886C22×C22⋊C4—831no—
887C22×C22⋊C4—831no—
888C22×C22⋊C4—831no—
889C22×C22⋊C4—831no—
890#400—831no—
891#400—831no—
892#400—831no—
893#400—831no—
894#398—831no—
895#398—831no—
896#398—831no—
897#398—831no—
898#398—831no—
899#398—831no—
900#398—831no—
901#398—831no—
902#398—831no—
903#398—831no—
904#398—831no—
905#398—831no—
906#398—831no—
907#398—831no—
908#398C2×D8311yescharacteristic, complemented
909#398C2×D8311yescharacteristic, complemented
910#397—831no—
911#397—831no—
912#397—831no—
913#397—831no—
914#397—831no—
915#397—831no—
916#397—831no—
917#397—831no—
918#397—831no—
919#397—831no—
920#397C2×D8311yescharacteristic, complemented
921#397C2×D8311yescharacteristic, complemented
922#395—831no—
923#395—831no—
924#395—831no—
925#395C2×D8311yescharacteristic, complemented
926#394—831no—
927#394—831no—
928#394—831no—
929#394—831no—
930#394—831no—
931#394—831no—
932#394—831no—
933#394C2×D8311yescharacteristic
934#393—831no—
935#393—831no—
936#393—831no—
937#393—831no—
938#391—831no—
939#391—831no—
940#391—831no—
941#391—831no—
942#388—831no—
943#388—831no—
944#388—831no—
945#388—831no—
946#388—831no—
947#388—831no—
948#388—831no—
949#388—831no—
950#388—831no—
951#388—831no—
952#388—831no—
953#388—831no—
954#388—831no—
955#388—831no—
956#388C2×D8311yescharacteristic, complemented
957#388C2×D8311yescharacteristic, complemented
958#386—831no—
959#386—831no—
960#386—831no—
961#386—831no—
962#385—831no—
963#385—831no—
964#385—831no—
965#385—831no—
966#385—831no—
967#385—831no—
968#385—831no—
969#385—831no—
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#385—831no—
980#385C2×D8311yescharacteristic, complemented
981#385C2×D8311yescharacteristic, complemented
982#384—831no—
983#384—831no—
984#384—831no—
985#384C2×D8311yescharacteristic, complemented
986#381—831no—
987#381—831no—
988#381—831no—
989#381—831no—
990#381—831no—
991#381—831no—
992#381—831no—
993#381—831no—
994#380—831no—
995#380—831no—
996#380—831no—
997#380—831no—
998#380—831no—
999#380—831no—
1000#379—831no—
1001#379—831no—
1002#379—831no—
1003#379—831no—
1004#379—831no—
1005#379—831no—
1006C4×C22⋊C4—831no—
1007C4×C22⋊C4—831no—
1008C25—831no—
1009C25—831no—
1010C22×Q8—831no—
1011C22×Q8—831no—
1012C22×Q8—831no—
1013C22×Q8C22×D8311yescharacteristic
1014C22×D4—3322no—
1015C22×D4—3322no—
1016C22×D4—831no—
1017C22×D4—831no—
1018C22×D4—831no—
1019C22×D4—1664no—
1020C22×D4C22×D8311yescharacteristic
1021C23×C4—3322no—
1022C23×C4—3322no—
1023C23×C4—831no—
1024C23×C4—831no—
1025C23×C4—831no—
1026C23×C4—831no—
1027C23×C4—831no—
1028C23×C4—831no—
1029C23×C4—831no—
1030C23×C4—831no—
1031C23×C4—831no—
1032C23×C4—831no—
1033C23×C4—831no—
1034C23×C4—1664no—
1035C23×C4C22×D8311yescharacteristic
1036C23×C4C22×D8311yescharacteristic
1037#123—24no—
1038#123—42no—
1039#123—3322no—
1040#123—3322no—
1041#123—3322no—
1042#123—1664no—
1043#123—1664no—
1044#123—1664no—
1045#123—1664no—
1046#123—1664no—
1047#123—1664no—
1048#123—1664no—
1049C22⋊Q8—24no—
1050C22⋊Q8—42no—
1051C22⋊Q8—3322no—
1052C22⋊Q8—3322no—
1053C22⋊Q8—3322no—
1054C22⋊Q8—1664no—
1055C22⋊Q8—1664no—
1056C22⋊Q8—1664no—
1057C22⋊Q8—1664no—
1058C22⋊Q8—1664no—
1059C22⋊Q8—1664no—
1060C22⋊Q8—1664no—
1061C22⋊Q8—1664no—
1062C22⋊Q8—1664no—
1063C22⋊Q8—1664no—
1064C22⋊Q8—1664no—
1065C2×C4⋊C4—831no—
1066C2×C4⋊C4—831no—
1067C2×C4⋊C4—831no—
1068C2×C4⋊C4—831no—
1069C2×C4⋊C4—831no—
1070C2×C4⋊C4—831no—
1071C2×C4⋊C4—831no—
1072C2×C4⋊C4—831no—
1073C2×C4⋊C4—831no—
1074C2×C4⋊C4—831no—
1075C2×C4⋊C4—831no—
1076C2×C4⋊C4—831no—
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—1664no—
1094C2×C4⋊C4—1664no—
1095C2×C4⋊C4C22×D8311yescharacteristic
1096C2×C4⋊C4C22×D8311yescharacteristic
1097C2×C4⋊C4C22×D8311yescharacteristic
1098C2×C4⋊C4C22×D8311yescharacteristic
1099C2×C4⋊C4C22×D8311yescharacteristic
1100C2×C4⋊C4C22×D8311yescharacteristic
1101C2×C4⋊C4C22×D8311yescharacteristic
1102C2×C4⋊C4C22×D8311yescharacteristic
1103C2×C4⋊C4C22×D8311yescharacteristic
1104C2×C4⋊C4C22×D8311yescharacteristic
1105C2×C4⋊C4C22×D8311yescharacteristic
1106C2×C4⋊C4C22×D8311yescharacteristic
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—838no—
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⋊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—1664no—
1147C2×C22⋊C4—1664no—
1148C2×C22⋊C4—1664no—
1149C2×C22⋊C4—1664no—
1150C2×C22⋊C4C22×D8311yescharacteristic
1151C2×C22⋊C4C22×D8311yescharacteristic
1152C2×C22⋊C4C22×D8311yescharacteristic
1153C2×C22⋊C4C22×D8311yescharacteristic
1154C2×C22⋊C4C22×D8311yescharacteristic
1155C2×C22⋊C4C22×D8311yescharacteristic
1156C2×C22⋊C4C22×D8311yescharacteristic
1157C2×C22⋊C4C22×D8311yescharacteristic
1158C2×C22⋊C4C22×D8311yescharacteristic
1159C2×C22⋊C4C22×D8311yescharacteristic
1160C2×C42—831no—
1161C2×C42—831no—
1162C2×C42—831no—
1163C2×C42C22×D8311yescharacteristic
1164#95—831no—
1165#95—831no—
1166#95—831no—
1167#95—831no—
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#95C22×D8311yescharacteristic
1197#95C22×D8311yescharacteristic
1198#95C22×D8311yescharacteristic
1199#95C22×D8311yescharacteristic
1200#95C22×D8311yescharacteristic
1201#95C22×D8311yescharacteristic
1202#95C22×D8311yescharacteristic
1203#95C22×D8311yescharacteristic
1204C24—3321no—
1205C24—3321no—
1206C24—3321no—
1207C24—3321no—
1208C24—3321no—
1209C24—3321no—
1210C24—834no—
1211C24—831no—
1212C24—831no—
1213C24—831no—
1214C24—1662no—
1215C24—1662no—
1216C24—1662no—
1217C24—1662no—
1218C24—1662no—
1219C24—1662no—
1220C24—1662no—
1221C24C23×D8311yescharacteristic
1222C24C23×D8311yescharacteristic
1223C2×Q8—22no—
1224C2×Q8—41no—
1225C2×Q8—41no—
1226C2×Q8—3321no—
1227C2×Q8—3321no—
1228C2×Q8—3321no—
1229C2×Q8—3321no—
1230C2×Q8—3321no—
1231C2×Q8—3321no—
1232C2×Q8—1662no—
1233C2×Q8—1662no—
1234C2×Q8—1662no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—41no—
1238C2×D4—3321no—
1239C2×D4—33216no—
1240C2×D4—3321no—
1241C2×D4—3321no—
1242C2×D4—1662no—
1243C2×D4—1662no—
1244C2×D4—1662no—
1245C2×D4—1662no—
1246C2×D4—1662no—
1247C2×D4—1662no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—3321no—
1255C22×C4—3321no—
1256C22×C4—3321no—
1257C22×C4—3321no—
1258C22×C4—3321no—
1259C22×C4—3321no—
1260C22×C4—3321no—
1261C22×C4—3321no—
1262C22×C4—3321no—
1263C22×C4—3321no—
1264C22×C4—3321no—
1265C22×C4—3321no—
1266C22×C4—3321no—
1267C22×C4—3321no—
1268C22×C4—33216no—
1269C22×C4—3321no—
1270C22×C4—3321no—
1271C22×C4—3321no—
1272C22×C4—834no—
1273C22×C4—834no—
1274C22×C4—831no—
1275C22×C4—831no—
1276C22×C4—831no—
1277C22×C4—831no—
1278C22×C4—831no—
1279C22×C4—831no—
1280C22×C4—831no—
1281C22×C4—831no—
1282C22×C4—831no—
1283C22×C4—831no—
1284C22×C4—831no—
1285C22×C4—831no—
1286C22×C4—831no—
1287C22×C4—1662no—
1288C22×C4—1662no—
1289C22×C4—1662no—
1290C22×C4—1662no—
1291C22×C4—1662no—
1292C22×C4—1662no—
1293C22×C4—1662no—
1294C22×C4—1662no—
1295C22×C4—1662no—
1296C22×C4—1662no—
1297C22×C4—1662no—
1298C22×C4—1662no—
1299C22×C4—1662no—
1300C22×C4—1662no—
1301C22×C4C23×D8311yescharacteristic
1302C22×C4C23×D8311yescharacteristic
1303C22×C4C23×D8311yescharacteristic
1304C22×C4C23×D8311yescharacteristic
1305C22×C4C23×D8311yescharacteristic
1306C22×C4C23×D8311yescharacteristic
1307C22×C4C23×D8311yescharacteristic
1308C22×C4C23×D8311yescharacteristic
1309C22×C4C23×D8311yescharacteristic
1310C22×C4C23×D8311yescharacteristic
1311C22×C4C23×D8311yescharacteristic
1312C22×C4C23×D8311yescharacteristic
1313C22×C4C23×D8311yescharacteristic
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—3321no—
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—3321no—
1339C4⋊C4—1662no—
1340C4⋊C4—1662no—
1341C4⋊C4—1662no—
1342C4⋊C4—1662no—
1343C4⋊C4—1662no—
1344C4⋊C4—1662no—
1345C4⋊C4—1662no—
1346C4⋊C4—1662no—
1347C4⋊C4—1662no—
1348C4⋊C4—1662no—
1349C4⋊C4—1662no—
1350C4⋊C4—1662no—
1351C4⋊C4—1662no—
1352C4⋊C4—1662no—
1353C4⋊C4—1662no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
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—834no—
1377C22⋊C4—834no—
1378C22⋊C4—834no—
1379C22⋊C4—1662no—
1380C22⋊C4—1662no—
1381C22⋊C4—1662no—
1382C22⋊C4—1662no—
1383C22⋊C4—1662no—
1384C22⋊C4—1662no—
1385C22⋊C4—1662no—
1386C22⋊C4—1662no—
1387C22⋊C4—1662no—
1388C22⋊C4—1662no—
1389C22⋊C4—1662no—
1390C22⋊C4—1662no—
1391C22⋊C4—1662no—
1392C22⋊C4—1662no—
1393C22⋊C4—1662no—
1394C22⋊C4—1662no—
1395C22⋊C4—1662no—
1396C22⋊C4—1662no—
1397C22⋊C4—1662no—
1398C22⋊C4—1662no—
1399C22⋊C4—1662no—
1400C22⋊C4—1662no—
1401C22⋊C4D4×D8314yes—
1402C42—41no—
1403C42—3321no—
1404C42—3321no—
1405C42—3321no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—3324no—
1419C23—3324no—
1420C23—3324no—
1421C23—3324no—
1422C23—3324no—
1423C23—3324no—
1424C23—3324no—
1425C23—3324no—
1426C23—832no—
1427C23—832no—
1428C23—832no—
1429C23—832no—
1430C23—832no—
1431C23—6642no—
1432C23—6642no—
1433C23—6642no—
1434C23—6642no—
1435C23—1668no—
1436C23—1668no—
1437C23—1661no—
1438C23—1661no—
1439C23—1661no—
1440C23—1661no—
1441C23—1661no—
1442C23—1661no—
1443C23—1661no—
1444C23—1661no—
1445C23—1661no—
1446C23—1661no—
1447C23—1661no—
1448C23—1661no—
1449C23—1661no—
1450C23—1661no—
1451C23—1661no—
1452C23—1661no—
1453C23C2×D4×D8312yes—
1454C23#1458183712yes—
1455C23C24×D8311yescharacteristic
1456Q8—82no—
1457Q8—6642no—
1458Q8—6642no—
1459Q8—6642no—
1460D4—44no—
1461D4—3324no—
1462D4—3324no—
1463D4—3324no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
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—44no—
1502C2×C4—82no—
1503C2×C4—3324no—
1504C2×C4—3324no—
1505C2×C4—3324no—
1506C2×C4—3324no—
1507C2×C4—3324no—
1508C2×C4—3324no—
1509C2×C4—3324no—
1510C2×C4—3324no—
1511C2×C4—832no—
1512C2×C4—832no—
1513C2×C4—6642no—
1514C2×C4—6642no—
1515C2×C4—6642no—
1516C2×C4—1661no—
1517C2×C4—1661no—
1518C2×C4—1661no—
1519C2×C4—1661no—
1520C2×C4—1661no—
1521C2×C4—1661no—
1522C2×C4—1661no—
1523C2×C4—1661no—
1524C2×C4—1661no—
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×C4C2×D4×D8312yes—
1554C2×C4C2×D4×D8312yes—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—33216no—
1570C22—3321no—
1571C22—3321no—
1572C22—3321no—
1573C22—3321no—
1574C22—3321no—
1575C22—3321no—
1576C22—3321no—
1577C22—3321no—
1578C22—834no—
1579C22—6648no—
1580C22—1662no—
1581C22—1662no—
1582C22—1662no—
1583C22—1662no—
1584C22—1662no—
1585C22—1662no—
1586C22—1662no—
1587C22—1662no—
1588C22—1662no—
1589C22—1662no—
1590C22—1662no—
1591C22—1662no—
1592C22C22×D4×D8311yescharacteristic
1593C22H(5,𝔽2)×D8311yescharacteristic
1594C22C2×#1458183711yescharacteristic
1595C222−1+4×D8311yescharacteristic
1596C222−1+4×D8311yescharacteristic
1597C22#1912853711yescharacteristic
1598C22#1912853811yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—3321no—
1613C4—3321no—
1614C4—3321no—
1615C4—3321no—
1616C4—3321no—
1617C4—3321no—
1618C4—3321no—
1619C4—3321no—
1620C4—3321no—
1621C4—3321no—
1622C4—3321no—
1623C4—1662no—
1624C4—1662no—
1625C2—42no—
1626C2—42no—
1627C2—3322no—
1628C2—3322no—
1629C2—1664no—
1630C2#536×D8311yescharacteristic
1631C2#2492109111yescharacteristic
1632C2#2492110211yescharacteristic
1633C2#2492166211yescharacteristic
1634C2#2492166411yescharacteristic
1635C2#2492167111yescharacteristic
1636C2#2492167411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2680C2
prime radicalC22×D4×D83C22
hypercenter#2680D83
hypocenterC83#36720
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2680

Complements

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

NH ≅ G/Ntype
1. C2×#19128326C2semidirect
3. #24915749C2semidirect
4. #24915747C2semidirect
5. #24913891C2semidirect
6. #24913890C2semidirect
7. #24913887C2semidirect
8. #24913886C2semidirect
9. #24913882C2semidirect
10. #24913881C2semidirect
11. #24913878C2semidirect
12. #24913877C2semidirect
13. #24913807C2semidirect
14. #24913805C2semidirect
15. #24913803C2semidirect
16. #24913802C2semidirect
17. #24913802C2semidirect
18. #24913800C2semidirect
19. #24913799C2semidirect
20. #24913281C2semidirect
21. #24913275C2semidirect
22. #24912619C2semidirect
23. #24912615C2semidirect
24. #24911938C2semidirect
25. #24911936C2semidirect
26. #24911743C2semidirect
27. #24911740C2semidirect
30. #24910057C2semidirect
31. C83×#2680C2semidirect
47. C2×#14581772C22semidirect
48. C2×#14581771C22semidirect
51. C2×#14581770C22semidirect
52. C2×#14581770C22semidirect
53. C2×#14581770C22semidirect
54. C2×#14581769C22semidirect
55. C2×#14581769C22semidirect
56. C2×#14581769C22semidirect
58. C2×#14581768C22semidirect
59. C2×#14581768C22semidirect
67. #19127643C22semidirect
68. #19127642C22semidirect
69. #19127641C22semidirect
70. #19127640C22semidirect
71. #19127635C22semidirect
72. #19127635C22semidirect
73. #19127634C22semidirect
74. #19127634C22semidirect
75. #19127634C22semidirect
76. #19127634C22semidirect
77. #19127634C22semidirect
78. #19127634C22semidirect
79. #19127633C22semidirect
80. #19127632C22semidirect
81. #19127632C22semidirect
82. #19127632C22semidirect
83. #19127631C22semidirect
84. #19127631C22semidirect
85. #19127630C22semidirect
86. #19127630C22semidirect
87. #19127630C22semidirect
88. #19127629C22semidirect
89. #19127629C22semidirect
90. #19127629C22semidirect
91. #19127627C22semidirect
92. #19127627C22semidirect
93. #19127627C22semidirect
94. #19127626C22semidirect
95. #19127622C22semidirect
96. #19127621C22semidirect
97. #19127620C22semidirect
105. #19127614C22semidirect
106. #19127614C22semidirect
107. #19127613C22semidirect
108. #19127613C22semidirect
109. #19127607C22semidirect
110. #19127606C22semidirect
111. #19127605C22semidirect
112. #19127605C22semidirect
113. #19127595C22semidirect
114. #19127595C22semidirect
115. #19127594C22semidirect
116. #19127594C22semidirect
117. #19127594C22semidirect
118. #19127593C22semidirect
119. #19127593C22semidirect
120. #19127593C22semidirect
121. #19127592C22semidirect
122. #19127592C22semidirect
123. #19127591C22semidirect
124. #19127591C22semidirect
125. #19127590C22semidirect
126. #19127589C22semidirect
133. #19127575C22semidirect
134. #19127575C22semidirect
135. #19127574C22semidirect
136. #19127574C22semidirect
137. #19127573C22semidirect
138. #19127573C22semidirect
145. #19127572C22semidirect
146. #19127572C22semidirect
147. #19127572C22semidirect
148. #19127572C22semidirect
149. #19127570C22semidirect
150. #19127570C22semidirect
151. #19127570C22semidirect
156. #19127563C22semidirect
157. #19127563C22semidirect
158. #19127562C22semidirect
159. #19127562C22semidirect
160. #19127561C22semidirect
162. #19127560C22semidirect
163. #19127559C22semidirect
165. #19127558C22semidirect
176. C2×C22⋊Q8×C83C22semidirect
177. C2×C22⋊Q8×C83C22semidirect
178. #398×C83C22semidirect
179. #398×C83C22semidirect
180. #397×C83C22semidirect
181. #397×C83C22semidirect
182. #395×C83C22semidirect
184. #388×C83C22semidirect
185. #388×C83C22semidirect
186. #385×C83C22semidirect
187. #385×C83C22semidirect
188. #384×C83C22semidirect
838. #2680D83semidirect
850. C83#36720semidirect
881. C2×C22⋊Q8C2×D83semidirect
882. C2×C22⋊Q8C2×D83semidirect
908. #398C2×D83semidirect
909. #398C2×D83semidirect
920. #397C2×D83semidirect
921. #397C2×D83semidirect
925. #395C2×D83semidirect
956. #388C2×D83semidirect
957. #388C2×D83semidirect
980. #385C2×D83semidirect
981. #385C2×D83semidirect
985. #384C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283262
C2×#123×D832
#249157492
#249157472
#249138912
#249138902
#249138872
#249138862
#249138822
#249138812
#249138782
#249138772
#249138072
#249138052
#249138032
#249138022
#249138002
#249137992
#249132812
#249132752
#249126192
#249126152
#249119382
#249119362
#249117432
#249117402
#249107872
#249107852
#249100572
C83×#26802
#3672083