Finite Group Databasebeta

← #35611281

Subgroups — #35611281

Order 21248.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128321C211yesmaximal, characteristic, complemented
2C2×#19128208C211yesmaximal, characteristic, complemented
3#24915758C211yesmaximal, characteristic, complemented
4#24915749C211yesmaximal, characteristic, complemented
5#24914008C211yesmaximal, characteristic, complemented
6#24913997C211yesmaximal, characteristic, complemented
7#24913954C211yesmaximal, characteristic, complemented
8#24913943C211yesmaximal, characteristic, complemented
9#24913909C211yesmaximal, characteristic, complemented
10#24913868C211yesmaximal, characteristic, complemented
11#24913849C211yesmaximal, characteristic, complemented
12#24913838C211yesmaximal, characteristic, complemented
13#24913773C211yesmaximal, characteristic, complemented
14#24913766C211yesmaximal, characteristic, complemented
15#24913739C211yesmaximal, characteristic, complemented
16#24913738C211yesmaximal, characteristic, complemented
17#24913716C211yesmaximal, characteristic, complemented
18#24913698C211yesmaximal, characteristic, complemented
19#24913684C211yesmaximal, characteristic, complemented
20#24913670C211yesmaximal, characteristic, complemented
21#24913384C211yesmaximal, characteristic, complemented
22#24913308C211yesmaximal, characteristic, complemented
23#24913139C211yesmaximal, characteristic, complemented
24#24913069C211yesmaximal, characteristic, complemented
25#24913036C211yesmaximal, characteristic, complemented
26#24913028C211yesmaximal, characteristic, complemented
27#24912820C211yesmaximal, characteristic, complemented
28#24912645C211yesmaximal, characteristic, complemented
29#24911067C211yesmaximal, characteristic, complemented
30#24910090C211yesmaximal, characteristic, complemented
31C83×#2432C211yesmaximal, characteristic, complemented
32C23×C4×D83C2211yescharacteristic
33#19128321—28no—
34C2×#14581790C2211yescharacteristic, complemented
35C2×#14581787C2211yescharacteristic
36C2×#14581785C2211yescharacteristic, complemented
37C2×#14581781C2211yescharacteristic
38C2×#14581778C2211yescharacteristic
39C2×#14581778C2211yescharacteristic, complemented
40#19128208—28no—
41C2×#14581777C2211yescharacteristic
42C2×#14581777C2211yescharacteristic
43C2×#14581775C2211yescharacteristic, complemented
44C2×#14581773C2211yescharacteristic
45C2×#14581773C2211yescharacteristic
46C2×#14581770C2211yescharacteristic
47C2×#14581770C2211yescharacteristic
48C2×#14581770C2211yescharacteristic, complemented
49C2×#14581769C2211yescharacteristic
50C2×#14581768C2211yescharacteristic
51C2×#14581768C2211yescharacteristic
52C2×#14581765C2211yescharacteristic
53C2×#14581764C2211yescharacteristic
54C2×#14581764C2211yescharacteristic, complemented
55C2×#14581763C2211yescharacteristic
56C2×#14581763C2211yescharacteristic
57C2×#14581762C2211yescharacteristic
58C2×#14581760C2211yescharacteristic
59C2×#14581760C2211yescharacteristic
60C2×#14581757C2211yescharacteristic, complemented
61C2×C4×C22⋊D83C2211yescharacteristic
62C2×C4×C22⋊D83C2211yescharacteristic
63C2×C4×C22⋊D83C2211yescharacteristic
64C2×C4×C22⋊D83C2211yescharacteristic
65C2×#14581751C2211yescharacteristic
66C2×#14581750C2211yescharacteristic, complemented
67#19127643C2211yescharacteristic, complemented
68#19127639C2211yescharacteristic, complemented
69#19127637C2211yescharacteristic, complemented
70#19127636C2211yescharacteristic
71#19127636C2211yescharacteristic
72#19127636C2211yescharacteristic, complemented
73#19127635C2211yescharacteristic, complemented
74#19127634C2211yescharacteristic, complemented
75#19127633C2211yescharacteristic, complemented
76#19127632C2211yescharacteristic, complemented
77#19127630C2211yescharacteristic
78#19127629C2211yescharacteristic
79#19127629C2211yescharacteristic, complemented
80#19127628C2211yescharacteristic
81#19127627C2211yescharacteristic
82#19127626C2211yescharacteristic, complemented
83#19127625C2211yescharacteristic, complemented
84#19127624C2211yescharacteristic
85#19127624C2211yescharacteristic, complemented
86#19127623C2211yescharacteristic, complemented
87#19127622C2211yescharacteristic, complemented
88#19127621C2211yescharacteristic, complemented
89#19127620C2211yescharacteristic, complemented
90#19127620C2211yescharacteristic, complemented
91#19127618C2211yescharacteristic
92#19127617C2211yescharacteristic
93#19127617C2211yescharacteristic
94#19127617C2211yescharacteristic
95#19127617C2211yescharacteristic, complemented
96#19127616C2211yescharacteristic
97#19127616C2211yescharacteristic
98#19127616C2211yescharacteristic
99#19127616C2211yescharacteristic, complemented
100#19127615C2211yescharacteristic
101#19127614C2211yescharacteristic
102#19127613C2211yescharacteristic
103#19127613C2211yescharacteristic, complemented
104#19127613C2211yescharacteristic, complemented
105#19127612C2211yescharacteristic
106#19127612C2211yescharacteristic, complemented
107#19127610C2211yescharacteristic
108#19127610C2211yescharacteristic
109#19127610C2211yescharacteristic
110#19127609C2211yescharacteristic
111#19127603C2211yescharacteristic
112#19127601C2211yescharacteristic
113#19127601C2211yescharacteristic
114#19127599C2211yescharacteristic, complemented
115#19127598C2211yescharacteristic, complemented
116#19127596C2211yescharacteristic, complemented
117#19127595C2211yescharacteristic
118#19127595C2211yescharacteristic, complemented
119#19127594C2211yescharacteristic
120#19127594C2211yescharacteristic
121#19127593C2211yescharacteristic, complemented
122#19127592C2211yescharacteristic
123#19127592C2211yescharacteristic
124#19127592C2211yescharacteristic
125#19127592C2211yescharacteristic, complemented
126#19127591C2211yescharacteristic
127#19127588C2211yescharacteristic, complemented
128#19127587C2211yescharacteristic, complemented
129#19127587C2211yescharacteristic, complemented
130#19127586C2211yescharacteristic, complemented
131#19127585C2211yescharacteristic, complemented
132#19127585C2211yescharacteristic, complemented
133#19127582C2211yescharacteristic, complemented
134#19127582C2211yescharacteristic, complemented
135#19127581C2211yescharacteristic
136#19127581C2211yescharacteristic, complemented
137#19127580C2211yescharacteristic
138#19127580C2211yescharacteristic, complemented
139#19127579C2211yescharacteristic
140#19127579C2211yescharacteristic
141#19127579C2211yescharacteristic
142#19127578C2211yescharacteristic
143#19127578C2211yescharacteristic
144#19127578C2211yescharacteristic
145#19127578C2211yescharacteristic
146#19127578C2211yescharacteristic
147#19127577C2211yescharacteristic
148#19127577C2211yescharacteristic, complemented
149#19127575C2211yescharacteristic
150#19127575C2211yescharacteristic
151#19127575C2211yescharacteristic, complemented
152#19127574C2211yescharacteristic
153#19127574C2211yescharacteristic, complemented
154#19127573C2211yescharacteristic
155#19127573C2211yescharacteristic, complemented
156#19127573C2211yescharacteristic, complemented
157#19127572C2211yescharacteristic
158#19127572C2211yescharacteristic
159#19127572C2211yescharacteristic
160#19127572C2211yescharacteristic
161#19127568C2211yescharacteristic, complemented
162#19127565C2211yescharacteristic, complemented
163#19127563C2211yescharacteristic
164#19127563C2211yescharacteristic
165#19127560C2211yescharacteristic
166#19127560C2211yescharacteristic
167#19127559C2211yescharacteristic
168#19127559C2211yescharacteristic, complemented
169#19127559C2211yescharacteristic, complemented
170#19127556C2211yescharacteristic
171#19127556C2211yescharacteristic
172#19127556C2211yescharacteristic
173C2×C83⋊#95C2211yescharacteristic, complemented
174C22×#41×C83C2211yescharacteristic
175C2×C4⋊Q8×C83C2211yescharacteristic, complemented
176C2×#124×C83C2211yescharacteristic
177C2×C22⋊Q8×C83C2211yescharacteristic, complemented
178#394×C83C2211yescharacteristic
179#394×C83C2211yescharacteristic
180#394×C83C2211yescharacteristic, complemented
181#394×C83C2211yescharacteristic, complemented
182#391×C83C2211yescharacteristic, complemented
183#390×C83C2211yescharacteristic
184#385×C83C2211yescharacteristic
185#385×C83C2211yescharacteristic
186#385×C83C2211yescharacteristic, complemented
187#385×C83C2211yescharacteristic, complemented
188C4×C22⋊C4×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C22×Dic166C2311yescharacteristic
191C22×Dic166C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C23×Dic83C2311yescharacteristic
202C23×Dic83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C22×C4×D83—24no—
205C22×C4×D83—42no—
206C22×C4×D83—42no—
207C22×C4×D83C2311yescharacteristic
208C22×C4×D83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212#14581790—24no—
213#14581787—24no—
214#14581785—24no—
215#14581781—24no—
216#14581778—24no—
217#14581778—24no—
218#14581777—24no—
219#14581777—42no—
220#14581775—24no—
221#14581773—24no—
222#14581773—24no—
223#14581770—24no—
224#14581770—24no—
225#14581770—42no—
226#14581769—42no—
227#14581768—24no—
228#14581768—24no—
229#14581765—24no—
230#14581764—42no—
231#14581764—42no—
232#14581763—24no—
233#14581763—24no—
234#14581762—42no—
235#14581760—24no—
236#14581760—24no—
237#14581757—24no—
238C4×C22⋊D83—24no—
239C4×C22⋊D83—24no—
240C4×C22⋊D83—24no—
241C4×C22⋊D83D418yescomplemented
242#14581751—24no—
243#14581750—24no—
244C2×C4⋊Dic83C2311yescharacteristic
245C2×C4⋊Dic83C2311yescharacteristic
246C2×C4⋊Dic83C2311yescharacteristic
247C2×C4⋊Dic83C2311yescharacteristic
248C2×C4⋊Dic83C2311yescharacteristic
249C2×C4⋊Dic83C2311yescharacteristic
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
266C2×Dic83⋊C4C2311yescharacteristic
267C2×Dic83⋊C4C2311yescharacteristic
268C2×Dic83⋊C4C2311yescharacteristic
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×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×C4×Dic83C2311yescharacteristic
310C2×C4×Dic83C2311yescharacteristic
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
344C2×#41×C83—24no—
345C2×#41×C83—42no—
346C2×#41×C83—42no—
347C22×Q8×C83C2311yescharacteristic
348C22×Q8×C83C2311yescharacteristic
349C22×D4×C83C2311yescharacteristic
350C22×D4×C83C2311yescharacteristic
351C22×D4×C83C2311yescharacteristic
352C23×C4×C83C2311yescharacteristic
353C23×C4×C83C2311yescharacteristic
354C23×C4×C83C2311yescharacteristic
355C4⋊Q8×C83—42no—
356#124×C83—42no—
357C22⋊Q8×C83—24no—
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×C22⋊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×C22⋊C4×C83C2311yescharacteristic
377C2×C42×C83C2311yescharacteristic
378C2×C42×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
395C2×Dic166—22no—
396C2×Dic166—22no—
397C2×Dic166—41no—
398C2×Dic166—41no—
399C2×Dic166—41no—
400C2×Dic166—41no—
401C2×D332—22no—
402C2×D332—22no—
403C2×D332—41no—
404C2×D332—41no—
405C2×D332—41no—
406C2×D332—41no—
407C2×C22⋊D83—22no—
408C2×C22⋊D83—22no—
409C2×C22⋊D83—22no—
410C2×C22⋊D83—22no—
411C2×C22⋊D83—22no—
412C2×C22⋊D83—22no—
413C2×C22⋊D83—22no—
414C2×C22⋊D83—41no—
415C2×C22⋊D83—41no—
416C2×C22⋊D83—41no—
417C2×C22⋊D83—41no—
418C2×C22⋊D83—41no—
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⋊D83C2×D414yes—
428C22×Dic83—22no—
429C22×Dic83—22no—
430C22×Dic83—41no—
431C22×Dic83—41no—
432C22×Dic83—41no—
433C22×Dic83—41no—
434C22×Dic83—41no—
435C22×Dic83—41no—
436C22×Dic83—41no—
437C22×Dic83C2411yescharacteristic
438C22×Dic83C2411yescharacteristic
439C22×Dic83C2411yescharacteristic
440C22×Dic83C2411yescharacteristic
441C22×Dic83C2411yescharacteristic
442C22×Dic83C2411yescharacteristic
443C22×Dic83C2411yescharacteristic
444C22×Dic83C2411yescharacteristic
445C22×Dic83C2411yescharacteristic
446C22×Dic83C2411yescharacteristic
447C22×Dic83C2411yescharacteristic
448C22×Dic83C2411yescharacteristic
449C22×Dic83C2411yescharacteristic
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—41no—
457C2×C4×D83—41no—
458C2×C4×D83—41no—
459C2×C4×D83—41no—
460C2×C4×D83—41no—
461C2×C4×D83—41no—
462C2×C4×D83—41no—
463C2×C4×D83—41no—
464C2×C4×D83—416no—
465C2×C4×D83C2×D414yes—
466C4⋊Dic83—22no—
467C4⋊Dic83—22no—
468C4⋊Dic83—22no—
469C4⋊Dic83—41no—
470C4⋊Dic83—41no—
471C4⋊Dic83—41no—
472Dic83⋊C4—22no—
473Dic83⋊C4—22no—
474Dic83⋊C4—22no—
475Dic83⋊C4—22no—
476Dic83⋊C4—22no—
477Dic83⋊C4—22no—
478Dic83⋊C4—22no—
479Dic83⋊C4—22no—
480Dic83⋊C4—22no—
481Dic83⋊C4—41no—
482Dic83⋊C4—41no—
483Dic83⋊C4—41no—
484Dic83⋊C4—41no—
485Dic83⋊C4—41no—
486Dic83⋊C4—41no—
487Dic83⋊C4—41no—
488Dic83⋊C4—41no—
489Dic83⋊C4—41no—
490Dic83⋊C4C2×D414yes—
491C22⋊Dic83—22no—
492C22⋊Dic83—22no—
493C22⋊Dic83—22no—
494C22⋊Dic83—22no—
495C22⋊Dic83—22no—
496C22⋊Dic83—22no—
497C22⋊Dic83—22no—
498C22⋊Dic83—41no—
499C22⋊Dic83—41no—
500C22⋊Dic83—41no—
501C22⋊Dic83—41no—
502C22⋊Dic83—41no—
503C22⋊Dic83C2×D414yes—
504(C2×D83)⋊C4—22no—
505(C2×D83)⋊C4—22no—
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—41no—
517(C2×D83)⋊C4—41no—
518(C2×D83)⋊C4—41no—
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)⋊C4C2×D414yes—
531C4×Dic83—22no—
532C4×Dic83—22no—
533C4×Dic83—22no—
534C4×Dic83—22no—
535C4×Dic83C2×D414yes—
536C24×C83C2411yescharacteristic
537C24×C83C2411yescharacteristic
538C24×C83C2411yescharacteristic
539#41×C83—416no—
540C2×Q8×C83—22no—
541C2×Q8×C83—22no—
542C2×Q8×C83—22no—
543C2×Q8×C83—41no—
544C2×Q8×C83—41no—
545C2×Q8×C83—41no—
546C2×D4×C83—22no—
547C2×D4×C83—22no—
548C2×D4×C83—22no—
549C2×D4×C83—22no—
550C2×D4×C83—22no—
551C2×D4×C83—22no—
552C2×D4×C83—41no—
553C2×D4×C83—41no—
554C2×D4×C83—41no—
555C22×C4×C83—22no—
556C22×C4×C83—22no—
557C22×C4×C83—22no—
558C22×C4×C83—22no—
559C22×C4×C83—41no—
560C22×C4×C83—41no—
561C22×C4×C83—41no—
562C22×C4×C83—41no—
563C22×C4×C83C2×D414yes—
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
574C22×C4×C83C2411yescharacteristic
575C22×C4×C83C2411yescharacteristic
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—
583C22⋊C4×C83—22no—
584C22⋊C4×C83—22no—
585C22⋊C4×C83—22no—
586C22⋊C4×C83—22no—
587C22⋊C4×C83—41no—
588C22⋊C4×C83—41no—
589C22⋊C4×C83—41no—
590C22⋊C4×C83—41no—
591C22⋊C4×C83—41no—
592C22⋊C4×C83—41no—
593C22⋊C4×C83—41no—
594C22⋊C4×C83—41no—
595C42×C83—41no—
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×C83—21no—
611C23×C83—21no—
612C23×C83—21no—
613C23×C83—21no—
614C23×C83—21no—
615C23×C83—21no—
616C23×C83C22×D412yes—
617C23×C83H(5,𝔽2)12yes—
618C23×C83C2511yescharacteristic
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—21no—
638C22×D83—44no—
639C22×D83—44no—
640C22×D83—44no—
641C22×D83—44no—
642C22×D83—44no—
643C22×D83—44no—
644C22×D83—44no—
645C22×D83C22×D412yes—
646C22×D832−1+412yes—
647Q8×C83—44no—
648Q8×C83—82no—
649D4×C83—44no—
650D4×C83—44no—
651D4×C83—44no—
652C2×C4×C83—28no—
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—21no—
686C2×C4×C83—44no—
687C2×C4×C83—44no—
688C2×C4×C83C22×D412yes—
689C2×C4×C83C22×D412yes—
690C2×C4×C83H(5,𝔽2)12yes—
691C22⋊D83—44no—
692C22⋊D83—44no—
693C22⋊D83—44no—
694C22⋊D83—44no—
695C22⋊D83—82no—
696C22⋊D83—82no—
697C22⋊D83—82no—
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—21no—
730C2×Dic83—21no—
731C2×Dic83—21no—
732C2×Dic83—21no—
733C2×Dic83—21no—
734C2×Dic83—44no—
735C2×Dic83—82no—
736C2×Dic83—82no—
737C2×Dic83C22×D412yes—
738C2×Dic83C22×D412yes—
739C2×Dic83C22×D412yes—
740D332—82no—
741D332—82no—
742C4×D83—44no—
743C4×D83—44no—
744C4×D83—44no—
745C4×D83—44no—
746C4×D83—44no—
747Dic166—44no—
748Dic166—82no—
749C22×C83—22no—
750C22×C83—22no—
751C22×C83—22no—
752C22×C83—22no—
753C22×C83—22no—
754C22×C83—22no—
755C22×C83—41no—
756C22×C83—41no—
757C22×C83—41no—
758C22×C83—41no—
759C22×C83—41no—
760C22×C83—41no—
761C22×C83—41no—
762C22×C83—41no—
763C22×C83—41no—
764C22×C83—41no—
765C22×C83—41no—
766C22×C83—41no—
767C22×C83—41no—
768C22×C83—41no—
769C22×C83—41no—
770C22×C83C23×D411yescharacteristic
771C22×C83C2×H(5,𝔽2)11yescharacteristic
772C22×C83C2×H(5,𝔽2)11yescharacteristic
773C22×C83C2×2−1+411yescharacteristic
774C22×C83#58511yescharacteristic
775C22×C83#58511yescharacteristic
776C22×C83#58511yescharacteristic
777C2×D83—22no—
778C2×D83—22no—
779C2×D83—22no—
780C2×D83—22no—
781C2×D83—22no—
782C2×D83—22no—
783C2×D83—416no—
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—
797C2×D83—41no—
798C2×D83—41no—
799C4×C83—22no—
800C4×C83—22no—
801C4×C83—22no—
802C4×C83—41no—
803C4×C83—41no—
804C4×C83—41no—
805C4×C83—41no—
806C4×C83—41no—
807C4×C83—41no—
808C4×C83—41no—
809C4×C83—41no—
810C4×C83—41no—
811Dic83—22no—
812Dic83—22no—
813Dic83—22no—
814Dic83—41no—
815Dic83—41no—
816Dic83—41no—
817Dic83—41no—
818Dic83—41no—
819Dic83—41no—
820Dic83—41no—
821Dic83—41no—
822Dic83—41no—
823Dic83—41no—
824#36712—831nomaximal, Sylow
825C2×C83—42no—
826C2×C83—42no—
827C2×C83—81no—
828C2×C83#344911yescharacteristic
829C2×C83#348411yescharacteristic
830C2×C83#348911yescharacteristic
831C2×C83#353311yescharacteristic
832C2×C83#353511yescharacteristic
833C2×C83#354011yescharacteristic
834C2×C83#354111yescharacteristic
835D83—42no—
836D83—42no—
837D83—81no—
838C2×#542—831no—
839C2×#525—831no—
840#2849—831no—
841#2848—831no—
842#2696—831no—
843#2695—831no—
844#2692—831no—
845#2691—831no—
846#2689—831no—
847#2686—831no—
848#2685—831no—
849#2684—831no—
850#2677—831no—
851#2676—831no—
852#2674—831no—
853#2674—831no—
854#2672—831no—
855#2671—831no—
856#2670—831no—
857#2668—831no—
858#2638—831no—
859#2630—831no—
860#2609—831no—
861#2602—831no—
862#2599—831no—
863#2598—831no—
864#2580—831no—
865#2564—831no—
866#2432D8311yescharacteristic, complemented
867#2430—831no—
868#2318—831no—
869C83#3671211yescharacteristic, complemented, Sylow
870C22×#41C2×D8311yescharacteristic
871C24×C4—831no—
872#542—1668no—
873C2×C4⋊Q8—831no—
874C2×C4⋊Q8C2×D8311yescharacteristic, complemented
875C2×#126—831no—
876C2×#126—831no—
877C2×#124—831no—
878C2×#124—831no—
879C2×#124—831no—
880C2×#124C2×D8311yescharacteristic
881#525—1668no—
882C2×#123—831no—
883C2×#123—831no—
884C2×#123—831no—
885C2×#123—831no—
886C2×#123—831no—
887C2×C22⋊Q8—831no—
888C2×C22⋊Q8—831no—
889C2×C22⋊Q8—831no—
890C2×C22⋊Q8—831no—
891C2×C22⋊Q8—831no—
892C2×C22⋊Q8—831no—
893C2×C22⋊Q8C2×D8311yescharacteristic, complemented
894C2×#121—831no—
895C2×#121—831no—
896C2×#121—831no—
897C2×#121—831no—
898C2×#121—831no—
899C2×#120—831no—
900C2×#120—831no—
901C2×#120—831no—
902C2×C4×Q8—831no—
903C2×C4×D4—831no—
904C2×C4×D4—831no—
905C2×C4×D4—831no—
906C2×C4×D4—831no—
907C2×#117—831no—
908C2×#117—831no—
909#400—831no—
910#400—831no—
911#399—831no—
912#399—831no—
913#399—831no—
914#399—831no—
915#398—831no—
916#398—831no—
917#398—831no—
918#398—831no—
919#397—831no—
920#397—831no—
921#397—831no—
922#397—831no—
923#397—831no—
924#397—831no—
925#396—831no—
926#396—831no—
927#396—831no—
928#396—831no—
929#395—831no—
930#395—831no—
931#395—831no—
932#395—831no—
933#394—831no—
934#394—831no—
935#394—831no—
936#394—831no—
937#394—831no—
938#394—831no—
939#394—831no—
940#394—831no—
941#394—831no—
942#394—831no—
943#394C2×D8311yescharacteristic
944#394C2×D8311yescharacteristic
945#394C2×D8311yescharacteristic, complemented
946#394C2×D8311yescharacteristic, complemented
947#393—831no—
948#393—831no—
949#393—831no—
950#393—831no—
951#393—831no—
952#393—831no—
953#392—831no—
954#392—831no—
955#392—831no—
956#392—831no—
957#391C2×D8311yescharacteristic, complemented
958#390—831no—
959#390—831no—
960#390—831no—
961#390C2×D8311yescharacteristic
962#389—831no—
963#389—831no—
964#389—831no—
965#388—831no—
966#388—831no—
967#388—831no—
968#388—831no—
969#388—831no—
970#388—831no—
971#388—831no—
972#388—831no—
973#388—831no—
974#388—831no—
975#387—831no—
976#387—831no—
977#387—831no—
978#387—831no—
979#387—831no—
980#387—831no—
981#387—831no—
982#387—831no—
983#386—831no—
984#386—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#386—831no—
996#386—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
1011#385C2×D8311yescharacteristic, complemented
1012#385C2×D8311yescharacteristic, complemented
1013#383—831no—
1014#382—831no—
1015#381—831no—
1016#381—831no—
1017#380—831no—
1018#380—831no—
1019#380—831no—
1020#380—831no—
1021#380—831no—
1022#379—831no—
1023#379—831no—
1024#379—831no—
1025C4×C22⋊C4C2×D8311yescharacteristic, complemented
1026C2×#95—831no—
1027C25—831no—
1028C2×#41—24no—
1029C2×#41—42no—
1030C2×#41—42no—
1031C22×Q8—831no—
1032C22×Q8—831no—
1033C22×Q8C22×D8311yescharacteristic
1034C22×Q8C22×D8311yescharacteristic
1035C22×D4—831no—
1036C22×D4—831no—
1037C22×D4—831no—
1038C22×D4—831no—
1039C22×D4—831no—
1040C22×D4—831no—
1041C22×D4—831no—
1042C22×D4—831no—
1043C22×D4—831no—
1044C22×D4C22×D8311yescharacteristic
1045C22×D4C22×D8311yescharacteristic
1046C22×D4C22×D8311yescharacteristic
1047C23×C4—3322no—
1048C23×C4—3322no—
1049C23×C4—831no—
1050C23×C4—831no—
1051C23×C4—831no—
1052C23×C4—831no—
1053C23×C4—831no—
1054C23×C4—831no—
1055C23×C4—831no—
1056C23×C4—831no—
1057C23×C4—1664no—
1058C23×C4C22×D8311yescharacteristic
1059C23×C4C22×D8311yescharacteristic
1060C23×C4C22×D8311yescharacteristic
1061C4⋊Q8—42no—
1062C4⋊Q8—1664no—
1063#126—1664no—
1064#126—1664no—
1065#124—42no—
1066#124—1664no—
1067#124—1664no—
1068#124—1664no—
1069#123—3322no—
1070#123—1664no—
1071#123—1664no—
1072#123—1664no—
1073#123—1664no—
1074C22⋊Q8—24no—
1075C22⋊Q8—3322no—
1076C22⋊Q8—3322no—
1077C22⋊Q8—1664no—
1078C22⋊Q8—1664no—
1079C22⋊Q8—1664no—
1080C22⋊Q8—1664no—
1081#121—3322no—
1082#121—3322no—
1083#121—1664no—
1084#121—1664no—
1085#121—1664no—
1086#120—3322no—
1087#120—1664no—
1088#120—1664no—
1089C4×Q8—1664no—
1090C4×D4—838no—
1091C4×D4—1664no—
1092C4×D4—1664no—
1093C4×D4—1664no—
1094#117—1664no—
1095#117—1664no—
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—831no—
1118C2×C4⋊C4—831no—
1119C2×C4⋊C4—831no—
1120C2×C4⋊C4—831no—
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×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—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⋊C4C22×D8311yescharacteristic
1169C2×C22⋊C4C22×D8311yescharacteristic
1170C2×C22⋊C4C22×D8311yescharacteristic
1171C2×C22⋊C4C22×D8311yescharacteristic
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×C42—831no—
1181C2×C42—831no—
1182C2×C42—831no—
1183C2×C42—831no—
1184C2×C42—831no—
1185C2×C42C22×D8311yescharacteristic
1186C2×C42C22×D8311yescharacteristic
1187#95—831no—
1188#95—831no—
1189#95—831no—
1190#95—831no—
1191#95—831no—
1192#95—831no—
1193#95—831no—
1194#95—831no—
1195#95—831no—
1196#95—831no—
1197#95—831no—
1198#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#95—831no—
1214#95—831no—
1215#95—831no—
1216#95—831no—
1217#95C22×D8311yescharacteristic
1218#95C22×D8311yescharacteristic
1219#95C22×D8311yescharacteristic
1220#95C22×D8311yescharacteristic
1221#95C22×D8311yescharacteristic
1222#95C22×D8311yescharacteristic
1223C24—3321no—
1224C24—3321no—
1225C24—3321no—
1226C24—3321no—
1227C24—831no—
1228C24—831no—
1229C24—831no—
1230C24—1662no—
1231C24—1662no—
1232C24—1662no—
1233C24C23×D8311yescharacteristic
1234C24C23×D8311yescharacteristic
1235C24C23×D8311yescharacteristic
1236#41—416no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—41no—
1241C2×Q8—41no—
1242C2×Q8—41no—
1243C2×Q8—3321no—
1244C2×Q8—3321no—
1245C2×Q8—3321no—
1246C2×Q8—3321no—
1247C2×Q8—1662no—
1248C2×Q8—1662no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—3321no—
1259C2×D4—3321no—
1260C2×D4—3321no—
1261C2×D4—3321no—
1262C2×D4—3321no—
1263C2×D4—3321no—
1264C2×D4—3321no—
1265C2×D4—3321no—
1266C2×D4—3321no—
1267C2×D4—3321no—
1268C2×D4—3321no—
1269C2×D4—3321no—
1270C2×D4—3321no—
1271C2×D4—3321no—
1272C2×D4—3321no—
1273C2×D4—3321no—
1274C2×D4—3321no—
1275C2×D4—834no—
1276C2×D4—1662no—
1277C2×D4—1662no—
1278C2×D4—1662no—
1279C2×D4—1662no—
1280C2×D4—1662no—
1281C2×D4—1662no—
1282C2×D4—1662no—
1283C2×D4—1662no—
1284C2×D4—1662no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—33216no—
1294C22×C4—3321no—
1295C22×C4—3321no—
1296C22×C4—3321no—
1297C22×C4—3321no—
1298C22×C4—3321no—
1299C22×C4—3321no—
1300C22×C4—3321no—
1301C22×C4—3321no—
1302C22×C4—3321no—
1303C22×C4—3321no—
1304C22×C4—3321no—
1305C22×C4—3321no—
1306C22×C4—3321no—
1307C22×C4—3321no—
1308C22×C4—3321no—
1309C22×C4—834no—
1310C22×C4—831no—
1311C22×C4—831no—
1312C22×C4—831no—
1313C22×C4—831no—
1314C22×C4—831no—
1315C22×C4—831no—
1316C22×C4—831no—
1317C22×C4—831no—
1318C22×C4—831no—
1319C22×C4—831no—
1320C22×C4—831no—
1321C22×C4—831no—
1322C22×C4—831no—
1323C22×C4—1662no—
1324C22×C4—1662no—
1325C22×C4—1662no—
1326C22×C4—1662no—
1327C22×C4—1662no—
1328C22×C4—1662no—
1329C22×C4—1662no—
1330C22×C4—1662no—
1331C22×C4D4×D8314yes—
1332C22×C4C23×D8311yescharacteristic
1333C22×C4C23×D8311yescharacteristic
1334C22×C4C23×D8311yescharacteristic
1335C22×C4C23×D8311yescharacteristic
1336C22×C4C23×D8311yescharacteristic
1337C22×C4C23×D8311yescharacteristic
1338C22×C4C23×D8311yescharacteristic
1339C22×C4C23×D8311yescharacteristic
1340C22×C4C23×D8311yescharacteristic
1341C22×C4C23×D8311yescharacteristic
1342C22×C4C23×D8311yescharacteristic
1343C22×C4C23×D8311yescharacteristic
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
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—3321no—
1360C4⋊C4—3321no—
1361C4⋊C4—3321no—
1362C4⋊C4—3321no—
1363C4⋊C4—834no—
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—
1374C4⋊C4—1662no—
1375C4⋊C4—1662no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
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—834no—
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⋊C4—1662no—
1426C22⋊C4—1662no—
1427C22⋊C4—1662no—
1428C42—41no—
1429C42—41no—
1430C42—834no—
1431C42—1662no—
1432C42—1662no—
1433C42—1662no—
1434C42—1662no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—3324no—
1455C23—3324no—
1456C23—3324no—
1457C23—3324no—
1458C23—3324no—
1459C23—3324no—
1460C23—3324no—
1461C23—832no—
1462C23—832no—
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—
1481C23—1661no—
1482C23C2×D4×D8312yes—
1483C23#1458183712yes—
1484C23C24×D8311yescharacteristic
1485Q8—44no—
1486Q8—82no—
1487Q8—3324no—
1488Q8—6642no—
1489D4—44no—
1490D4—44no—
1491D4—44no—
1492D4—3324no—
1493D4—3324no—
1494D4—3324no—
1495D4—3324no—
1496D4—6642no—
1497D4—6642no—
1498D4—6642no—
1499D4—6642no—
1500D4—6642no—
1501C2×C4—28no—
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—21no—
1534C2×C4—21no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—3324no—
1538C2×C4—3324no—
1539C2×C4—3324no—
1540C2×C4—3324no—
1541C2×C4—3324no—
1542C2×C4—3324no—
1543C2×C4—832no—
1544C2×C4—832no—
1545C2×C4—832no—
1546C2×C4—6642no—
1547C2×C4—6642no—
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×C4—1661no—
1581C2×C4—1661no—
1582C2×C4—1661no—
1583C2×C4—1661no—
1584C2×C4C2×D4×D8312yes—
1585C2×C4C2×D4×D8312yes—
1586C2×C4#1458183712yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—33216no—
1609C22—3321no—
1610C22—3321no—
1611C22—3321no—
1612C22—3321no—
1613C22—3321no—
1614C22—3321no—
1615C22—3321no—
1616C22—3321no—
1617C22—3321no—
1618C22—3321no—
1619C22—3321no—
1620C22—3321no—
1621C22—3321no—
1622C22—3321no—
1623C22—3321no—
1624C22—1662no—
1625C22—1662no—
1626C22—1662no—
1627C22—1662no—
1628C22—1662no—
1629C22—1662no—
1630C22C22×D4×D8311yescharacteristic
1631C22C2×#1458183711yescharacteristic
1632C22C2×#1458183711yescharacteristic
1633C222−1+4×D8311yescharacteristic
1634C22#1912853711yescharacteristic
1635C22#1912853711yescharacteristic
1636C22#1912853811yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—3321no—
1650C4—3321no—
1651C4—3321no—
1652C4—3321no—
1653C4—3321no—
1654C4—3321no—
1655C4—3321no—
1656C4—3321no—
1657C4—3321no—
1658C4—3321no—
1659C4—1662no—
1660C4—1662no—
1661C4—1662no—
1662C2—42no—
1663C2—42no—
1664C2—81no—
1665C2—3322no—
1666C2—3322no—
1667C2—6641no—
1668C2#2492079011yescharacteristic
1669C2#2492109211yescharacteristic
1670C2#2492114111yescharacteristic
1671C2#2492163311yescharacteristic
1672C2#2492166411yescharacteristic
1673C2#2492173711yescharacteristic
1674C2#2492175411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2432C2
hypercenter#2432D83
hypocenterC83#36712
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2432

Complements

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

NH ≅ G/Ntype
1. C2×#19128321C2semidirect
2. C2×#19128208C2semidirect
3. #24915758C2semidirect
4. #24915749C2semidirect
5. #24914008C2semidirect
6. #24913997C2semidirect
7. #24913954C2semidirect
8. #24913943C2semidirect
9. #24913909C2semidirect
10. #24913868C2semidirect
11. #24913849C2semidirect
12. #24913838C2semidirect
13. #24913773C2semidirect
14. #24913766C2semidirect
15. #24913739C2semidirect
16. #24913738C2semidirect
17. #24913716C2semidirect
18. #24913698C2semidirect
19. #24913684C2semidirect
20. #24913670C2semidirect
21. #24913384C2semidirect
22. #24913308C2semidirect
23. #24913139C2semidirect
24. #24913069C2semidirect
25. #24913036C2semidirect
26. #24913028C2semidirect
27. #24912820C2semidirect
28. #24912645C2semidirect
29. #24911067C2semidirect
30. #24910090C2semidirect
31. C83×#2432C2semidirect
34. C2×#14581790C22semidirect
36. C2×#14581785C22semidirect
39. C2×#14581778C22semidirect
43. C2×#14581775C22semidirect
48. C2×#14581770C22semidirect
54. C2×#14581764C22semidirect
60. C2×#14581757C22semidirect
66. C2×#14581750C22semidirect
67. #19127643C22semidirect
68. #19127639C22semidirect
69. #19127637C22semidirect
72. #19127636C22semidirect
73. #19127635C22semidirect
74. #19127634C22semidirect
75. #19127633C22semidirect
76. #19127632C22semidirect
79. #19127629C22semidirect
82. #19127626C22semidirect
83. #19127625C22semidirect
85. #19127624C22semidirect
86. #19127623C22semidirect
87. #19127622C22semidirect
88. #19127621C22semidirect
89. #19127620C22semidirect
90. #19127620C22semidirect
95. #19127617C22semidirect
99. #19127616C22semidirect
103. #19127613C22semidirect
104. #19127613C22semidirect
106. #19127612C22semidirect
114. #19127599C22semidirect
115. #19127598C22semidirect
116. #19127596C22semidirect
118. #19127595C22semidirect
121. #19127593C22semidirect
125. #19127592C22semidirect
127. #19127588C22semidirect
128. #19127587C22semidirect
129. #19127587C22semidirect
130. #19127586C22semidirect
131. #19127585C22semidirect
132. #19127585C22semidirect
133. #19127582C22semidirect
134. #19127582C22semidirect
136. #19127581C22semidirect
138. #19127580C22semidirect
148. #19127577C22semidirect
151. #19127575C22semidirect
153. #19127574C22semidirect
155. #19127573C22semidirect
156. #19127573C22semidirect
161. #19127568C22semidirect
162. #19127565C22semidirect
168. #19127559C22semidirect
169. #19127559C22semidirect
173. C2×C83⋊#95C22semidirect
175. C2×C4⋊Q8×C83C22semidirect
177. C2×C22⋊Q8×C83C22semidirect
180. #394×C83C22semidirect
181. #394×C83C22semidirect
182. #391×C83C22semidirect
186. #385×C83C22semidirect
187. #385×C83C22semidirect
188. C4×C22⋊C4×C83C22semidirect
241. C4×C22⋊D83D4semidirect
866. #2432D83semidirect
869. C83#36712semidirect
874. C2×C4⋊Q8C2×D83semidirect
893. C2×C22⋊Q8C2×D83semidirect
945. #394C2×D83semidirect
946. #394C2×D83semidirect
957. #391C2×D83semidirect
1011. #385C2×D83semidirect
1012. #385C2×D83semidirect
1025. C4×C22⋊C4C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283212
C2×#191282082
#249157582
#249157492
#249140082
#249139972
#249139542
#249139432
#249139092
#249138682
#249138492
#249138382
#249137732
#249137662
#249137392
#249137382
#249137162
#249136982
#249136842
#249136702
#249133842
#249133082
#249131392
#249130692
#249130362
#249130282
#249128202
#249126452
#249110672
#249100902
C83×#24322
#3671283