Finite Group Databasebeta

← #35611473

Subgroups — #35611473

Order 21248.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128289C211yesmaximal, characteristic, complemented
2C2×#19128208C211yesmaximal, characteristic, complemented
3#24915754C211yesmaximal, characteristic, complemented
4#24915744C211yesmaximal, characteristic, complemented
5#24914143C211yesmaximal, characteristic, complemented
6#24914098C211yesmaximal, characteristic, complemented
7#24914068C211yesmaximal, characteristic, complemented
8#24914052C211yesmaximal, characteristic, complemented
9#24913888C211yesmaximal, characteristic, complemented
10#24913830C211yesmaximal, characteristic, complemented
11#24913822C211yesmaximal, characteristic, complemented
12#24913822C211yesmaximal, characteristic, complemented
13#24913797C211yesmaximal, characteristic, complemented
14#24913789C211yesmaximal, characteristic, complemented
15#24913788C211yesmaximal, characteristic, complemented
16#24913784C211yesmaximal, characteristic, complemented
17#24913718C211yesmaximal, characteristic, complemented
18#24913690C211yesmaximal, characteristic, complemented
19#24913682C211yesmaximal, characteristic, complemented
20#24913677C211yesmaximal, characteristic, complemented
21#24913351C211yesmaximal, characteristic, complemented
22#24913306C211yesmaximal, characteristic, complemented
23#24913146C211yesmaximal, characteristic, complemented
24#24913087C211yesmaximal, characteristic, complemented
25#24913056C211yesmaximal, characteristic, complemented
26#24913050C211yesmaximal, characteristic, complemented
27#24912432C211yesmaximal, characteristic, complemented
28#24912353C211yesmaximal, characteristic, complemented
29#24910802C211yesmaximal, characteristic, complemented
30#24910103C211yesmaximal, characteristic, complemented
31C83×#2404C211yesmaximal, characteristic, complemented
32C23×C4×D83C2211yescharacteristic, complemented
33#19128289—28no—
34C2×#14581788C2211yescharacteristic
35C2×#14581785C2211yescharacteristic, complemented
36C2×#14581785C2211yescharacteristic, complemented
37C2×#14581778C2211yescharacteristic
38C2×#14581778C2211yescharacteristic, complemented
39C2×#14581778C2211yescharacteristic, complemented
40#19128208—28no—
41C2×#14581775C2211yescharacteristic
42C2×#14581774C2211yescharacteristic
43C2×#14581774C2211yescharacteristic
44C2×#14581774C2211yescharacteristic, complemented
45C2×#14581773C2211yescharacteristic
46C2×#14581773C2211yescharacteristic, complemented
47C2×#14581771C2211yescharacteristic, complemented
48C2×#14581768C2211yescharacteristic, complemented
49C2×#14581768C2211yescharacteristic, complemented
50C2×#14581768C2211yescharacteristic, complemented
51C2×#14581766C2211yescharacteristic
52C2×#14581765C2211yescharacteristic
53C2×#14581765C2211yescharacteristic
54C2×#14581765C2211yescharacteristic
55C2×#14581764C2211yescharacteristic
56C2×#14581763C2211yescharacteristic
57C2×#14581763C2211yescharacteristic
58C2×#14581763C2211yescharacteristic, complemented
59C2×#14581762C2211yescharacteristic, complemented
60C2×#14581761C2211yescharacteristic
61C2×#14581761C2211yescharacteristic
62C2×#14581761C2211yescharacteristic, complemented
63C2×#14581760C2211yescharacteristic
64C2×#14581760C2211yescharacteristic
65C2×#14581760C2211yescharacteristic
66C2×#14581760C2211yescharacteristic, complemented
67C2×C4×C22⋊D83C2211yescharacteristic
68C2×C4×C22⋊D83C2211yescharacteristic
69C2×C4×C22⋊D83C2211yescharacteristic, complemented
70C2×C4×C22⋊D83C2211yescharacteristic, complemented
71C2×C4×C22⋊D83C2211yescharacteristic, complemented
72C2×#14581751C2211yescharacteristic, complemented
73#19127642C2211yescharacteristic, complemented
74#19127637C2211yescharacteristic, complemented
75#19127635C2211yescharacteristic, complemented
76#19127635C2211yescharacteristic, complemented
77#19127633C2211yescharacteristic, complemented
78#19127630C2211yescharacteristic, complemented
79#19127629C2211yescharacteristic, complemented
80#19127626C2211yescharacteristic, complemented
81#19127624C2211yescharacteristic, complemented
82#19127624C2211yescharacteristic, complemented
83#19127624C2211yescharacteristic, complemented
84#19127624C2211yescharacteristic, complemented
85#19127624C2211yescharacteristic, complemented
86#19127624C2211yescharacteristic, complemented
87#19127622C2211yescharacteristic, complemented
88#19127619C2211yescharacteristic, complemented
89#19127619C2211yescharacteristic, complemented
90#19127617C2211yescharacteristic
91#19127617C2211yescharacteristic
92#19127617C2211yescharacteristic
93#19127617C2211yescharacteristic
94#19127617C2211yescharacteristic, complemented
95#19127617C2211yescharacteristic, complemented
96#19127617C2211yescharacteristic, complemented
97#19127616C2211yescharacteristic
98#19127616C2211yescharacteristic
99#19127616C2211yescharacteristic, complemented
100#19127616C2211yescharacteristic, complemented
101#19127616C2211yescharacteristic, complemented
102#19127615C2211yescharacteristic
103#19127615C2211yescharacteristic
104#19127615C2211yescharacteristic, complemented
105#19127615C2211yescharacteristic, complemented
106#19127615C2211yescharacteristic, complemented
107#19127613C2211yescharacteristic, complemented
108#19127610C2211yescharacteristic
109#19127610C2211yescharacteristic, complemented
110#19127609C2211yescharacteristic
111#19127609C2211yescharacteristic
112#19127609C2211yescharacteristic
113#19127609C2211yescharacteristic
114#19127609C2211yescharacteristic
115#19127609C2211yescharacteristic, complemented
116#19127609C2211yescharacteristic, complemented
117#19127608C2211yescharacteristic, complemented
118#19127605C2211yescharacteristic, complemented
119#19127604C2211yescharacteristic
120#19127604C2211yescharacteristic
121#19127604C2211yescharacteristic, complemented
122#19127604C2211yescharacteristic, complemented
123#19127601C2211yescharacteristic
124#19127601C2211yescharacteristic
125#19127601C2211yescharacteristic
126#19127601C2211yescharacteristic, complemented
127#19127601C2211yescharacteristic, complemented
128#19127598C2211yescharacteristic, complemented
129#19127598C2211yescharacteristic, complemented
130#19127598C2211yescharacteristic, complemented
131#19127595C2211yescharacteristic, complemented
132#19127595C2211yescharacteristic, complemented
133#19127594C2211yescharacteristic, complemented
134#19127594C2211yescharacteristic, complemented
135#19127594C2211yescharacteristic, complemented
136#19127593C2211yescharacteristic, complemented
137#19127593C2211yescharacteristic, complemented
138#19127593C2211yescharacteristic, complemented
139#19127593C2211yescharacteristic, complemented
140#19127593C2211yescharacteristic, complemented
141#19127593C2211yescharacteristic, complemented
142#19127589C2211yescharacteristic, complemented
143#19127589C2211yescharacteristic, complemented
144#19127589C2211yescharacteristic, complemented
145#19127586C2211yescharacteristic, complemented
146#19127586C2211yescharacteristic, complemented
147#19127581C2211yescharacteristic
148#19127580C2211yescharacteristic, complemented
149#19127580C2211yescharacteristic, complemented
150#19127579C2211yescharacteristic, complemented
151#19127579C2211yescharacteristic, complemented
152#19127579C2211yescharacteristic, complemented
153#19127577C2211yescharacteristic
154#19127577C2211yescharacteristic
155#19127577C2211yescharacteristic
156#19127577C2211yescharacteristic
157#19127576C2211yescharacteristic, complemented
158#19127575C2211yescharacteristic, complemented
159#19127575C2211yescharacteristic, complemented
160#19127575C2211yescharacteristic, complemented
161#19127574C2211yescharacteristic, complemented
162#19127574C2211yescharacteristic, complemented
163#19127564C2211yescharacteristic, complemented
164#19127563C2211yescharacteristic, complemented
165#19127563C2211yescharacteristic, complemented
166#19127561C2211yescharacteristic, complemented
167#19127560C2211yescharacteristic, complemented
168#19127560C2211yescharacteristic, complemented
169#19127559C2211yescharacteristic, complemented
170#19127557C2211yescharacteristic, complemented
171#19127556C2211yescharacteristic, complemented
172#19127552C2211yescharacteristic, complemented
173#19127546C2211yescharacteristic, complemented
174C22×#41×C83C2211yescharacteristic
175C2×#120×C83C2211yescharacteristic
176C2×#120×C83C2211yescharacteristic, complemented
177C22×C22⋊C4×C83C2211yescharacteristic, complemented
178#393×C83C2211yescharacteristic, complemented
179#393×C83C2211yescharacteristic, complemented
180#392×C83C2211yescharacteristic
181#392×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic
183#386×C83C2211yescharacteristic
184#386×C83C2211yescharacteristic
185#386×C83C2211yescharacteristic, complemented
186#386×C83C2211yescharacteristic, complemented
187#386×C83C2211yescharacteristic, complemented
188#381×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C22×Dic166C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C22×C22⋊D83C2311yescharacteristic
206C23×Dic83C2311yescharacteristic
207C22×C4×D83—24no—
208C22×C4×D83—42no—
209C22×C4×D83—42no—
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215#14581788—42no—
216#14581785—24no—
217#14581785—24no—
218#14581778—24no—
219#14581778—24no—
220#14581778—42no—
221#14581775—42no—
222#14581774—24no—
223#14581774—24no—
224#14581774—42no—
225#14581773—24no—
226#14581773—24no—
227#14581771—24no—
228#14581768—24no—
229#14581768—24no—
230#14581768—42no—
231#14581766—24no—
232#14581765—24no—
233#14581765—24no—
234#14581765—42no—
235#14581764—42no—
236#14581763—24no—
237#14581763—24no—
238#14581763—42no—
239#14581762—42no—
240#14581761—24no—
241#14581761—24no—
242#14581761—42no—
243#14581760—24no—
244#14581760—24no—
245#14581760—42no—
246#14581760—42no—
247C4×C22⋊D83—24no—
248C4×C22⋊D83—24no—
249C4×C22⋊D83—24no—
250C4×C22⋊D83—24no—
251C4×C22⋊D83D418yescomplemented
252#14581751—24no—
253C2×C4⋊Dic83C2311yescharacteristic
254C2×C4⋊Dic83C2311yescharacteristic
255C2×C4⋊Dic83C2311yescharacteristic
256C2×C4⋊Dic83C2311yescharacteristic
257C2×C4⋊Dic83C2311yescharacteristic
258C2×C4⋊Dic83C2311yescharacteristic
259C2×C4⋊Dic83C2311yescharacteristic
260C2×C4⋊Dic83C2311yescharacteristic
261C2×C4⋊Dic83C2311yescharacteristic
262C2×Dic83⋊C4C2311yescharacteristic
263C2×Dic83⋊C4C2311yescharacteristic
264C2×Dic83⋊C4C2311yescharacteristic
265C2×Dic83⋊C4C2311yescharacteristic
266C2×Dic83⋊C4C2311yescharacteristic
267C2×Dic83⋊C4C2311yescharacteristic
268C2×Dic83⋊C4C2311yescharacteristic
269C2×Dic83⋊C4C2311yescharacteristic
270C2×Dic83⋊C4C2311yescharacteristic
271C2×Dic83⋊C4C2311yescharacteristic
272C2×Dic83⋊C4C2311yescharacteristic
273C2×Dic83⋊C4C2311yescharacteristic
274C2×Dic83⋊C4C2311yescharacteristic
275C2×Dic83⋊C4C2311yescharacteristic
276C2×Dic83⋊C4C2311yescharacteristic
277C2×C22⋊Dic83C2311yescharacteristic
278C2×C22⋊Dic83C2311yescharacteristic
279C2×C22⋊Dic83C2311yescharacteristic
280C2×C22⋊Dic83C2311yescharacteristic
281C2×C22⋊Dic83C2311yescharacteristic
282C2×C22⋊Dic83C2311yescharacteristic
283C2×C22⋊Dic83C2311yescharacteristic
284C2×C22⋊Dic83C2311yescharacteristic
285C2×C22⋊Dic83C2311yescharacteristic
286C2×C22⋊Dic83C2311yescharacteristic
287C2×C22⋊Dic83C2311yescharacteristic
288C2×C22⋊Dic83C2311yescharacteristic
289C2×C22⋊Dic83C2311yescharacteristic
290C2×C22⋊Dic83C2311yescharacteristic
291C2×C22⋊Dic83C2311yescharacteristic
292C2×C22⋊Dic83C2311yescharacteristic
293C2×C22⋊Dic83C2311yescharacteristic
294C2×C22⋊Dic83C2311yescharacteristic
295C2×C22⋊Dic83C2311yescharacteristic
296C2×C22⋊Dic83C2311yescharacteristic
297C2×C22⋊Dic83C2311yescharacteristic
298C2×C22⋊Dic83C2311yescharacteristic
299C2×C22⋊Dic83C2311yescharacteristic
300C2×C22⋊Dic83C2311yescharacteristic
301C2×C22⋊Dic83C2311yescharacteristic
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×(C2×D83)⋊C4C2311yescharacteristic
317C2×(C2×D83)⋊C4C2311yescharacteristic
318C2×(C2×D83)⋊C4C2311yescharacteristic
319C2×(C2×D83)⋊C4C2311yescharacteristic
320C2×(C2×D83)⋊C4C2311yescharacteristic
321C2×(C2×D83)⋊C4C2311yescharacteristic
322C2×(C2×D83)⋊C4C2311yescharacteristic
323C2×C4×Dic83C2311yescharacteristic
324C2×C4×Dic83C2311yescharacteristic
325C2×C4×Dic83C2311yescharacteristic
326C2×C4×Dic83C2311yescharacteristic
327C2×C4×Dic83C2311yescharacteristic
328C2×C4×Dic83C2311yescharacteristic
329C2×C4×Dic83C2311yescharacteristic
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
346C83⋊#95C2311yescharacteristic
347C83⋊#95C2311yescharacteristic
348C83⋊#95C2311yescharacteristic
349C83⋊#95C2311yescharacteristic
350C25×C83C2311yescharacteristic
351C2×#41×C83—24no—
352C2×#41×C83—42no—
353C2×#41×C83—42no—
354C22×Q8×C83C2311yescharacteristic
355C22×D4×C83C2311yescharacteristic
356C22×D4×C83C2311yescharacteristic
357C22×D4×C83C2311yescharacteristic
358C22×D4×C83C2311yescharacteristic
359C22×D4×C83C2311yescharacteristic
360C22×D4×C83C2311yescharacteristic
361C22×D4×C83C2311yescharacteristic
362C23×C4×C83C2311yescharacteristic
363C23×C4×C83C2311yescharacteristic
364C23×C4×C83C2311yescharacteristic
365C23×C4×C83C2311yescharacteristic
366#120×C83—42no—
367#120×C83—42no—
368C2×C22⋊C4×C83—24no—
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×C22⋊C4×C83C2311yescharacteristic
378C2×C22⋊C4×C83C2311yescharacteristic
379C2×C22⋊C4×C83C2311yescharacteristic
380C2×C22⋊C4×C83C2311yescharacteristic
381C2×C22⋊C4×C83C2311yescharacteristic
382C2×C22⋊C4×C83C2311yescharacteristic
383#95×C83C2311yescharacteristic
384#95×C83C2311yescharacteristic
385#95×C83C2311yescharacteristic
386#95×C83C2311yescharacteristic
387#95×C83C2311yescharacteristic
388#95×C83C2311yescharacteristic
389#95×C83C2311yescharacteristic
390#95×C83C2311yescharacteristic
391C23×D83—22no—
392C23×D83—22no—
393C23×D83—22no—
394C23×D83—41no—
395C23×D83—41no—
396C23×D83—41no—
397C23×D83—41no—
398C23×D83C2411yescharacteristic
399C23×D83C2411yescharacteristic
400C23×D83C2411yescharacteristic
401C2×Dic166—22no—
402C2×Dic166—41no—
403C2×Dic166—41no—
404C2×D332—22no—
405C2×D332—22no—
406C2×D332—41no—
407C2×D332—41no—
408C2×D332—41no—
409C2×D332—41no—
410C2×C22⋊D83—22no—
411C2×C22⋊D83—22no—
412C2×C22⋊D83—22no—
413C2×C22⋊D83—22no—
414C2×C22⋊D83—22no—
415C2×C22⋊D83—22no—
416C2×C22⋊D83—22no—
417C2×C22⋊D83—22no—
418C2×C22⋊D83—22no—
419C2×C22⋊D83—22no—
420C2×C22⋊D83—22no—
421C2×C22⋊D83—22no—
422C2×C22⋊D83—22no—
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⋊D83—41no—
433C2×C22⋊D83—41no—
434C2×C22⋊D83—41no—
435C2×C22⋊D83—41no—
436C2×C22⋊D83—41no—
437C2×C22⋊D83—41no—
438C2×C22⋊D83—41no—
439C2×C22⋊D83—41no—
440C2×C22⋊D83—41no—
441C2×C22⋊D83—41no—
442C2×C22⋊D83—41no—
443C2×C22⋊D83—41no—
444C2×C22⋊D83—41no—
445C2×C22⋊D83—41no—
446C2×C22⋊D83—41no—
447C2×C22⋊D83—41no—
448C2×C22⋊D83C2×D414yes—
449C22×Dic83—22no—
450C22×Dic83—22no—
451C22×Dic83—41no—
452C22×Dic83C2411yescharacteristic
453C22×Dic83C2411yescharacteristic
454C22×Dic83C2411yescharacteristic
455C22×Dic83C2411yescharacteristic
456C22×Dic83C2411yescharacteristic
457C22×Dic83C2411yescharacteristic
458C22×Dic83C2411yescharacteristic
459C22×Dic83C2411yescharacteristic
460C22×Dic83C2411yescharacteristic
461C22×Dic83C2411yescharacteristic
462C22×Dic83C2411yescharacteristic
463C22×Dic83C2411yescharacteristic
464C22×Dic83C2411yescharacteristic
465C2×C4×D83—22no—
466C2×C4×D83—22no—
467C2×C4×D83—22no—
468C2×C4×D83—22no—
469C2×C4×D83—22no—
470C2×C4×D83—22no—
471C2×C4×D83—41no—
472C2×C4×D83—41no—
473C2×C4×D83—41no—
474C2×C4×D83—41no—
475C2×C4×D83—41no—
476C2×C4×D83—41no—
477C2×C4×D83—416no—
478C2×C4×D83—41no—
479C2×C4×D83—41no—
480C2×C4×D83C2×D414yes—
481C4⋊Dic83—22no—
482C4⋊Dic83—22no—
483C4⋊Dic83—22no—
484C4⋊Dic83—22no—
485C4⋊Dic83—41no—
486C4⋊Dic83—41no—
487C4⋊Dic83—41no—
488C4⋊Dic83—41no—
489C4⋊Dic83—41no—
490Dic83⋊C4—22no—
491Dic83⋊C4—22no—
492Dic83⋊C4—22no—
493Dic83⋊C4—22no—
494Dic83⋊C4—22no—
495Dic83⋊C4—22no—
496Dic83⋊C4—22no—
497Dic83⋊C4—41no—
498Dic83⋊C4—41no—
499Dic83⋊C4—41no—
500Dic83⋊C4—41no—
501Dic83⋊C4—41no—
502Dic83⋊C4—41no—
503Dic83⋊C4—41no—
504Dic83⋊C4C2×D414yes—
505C22⋊Dic83—22no—
506C22⋊Dic83—22no—
507C22⋊Dic83—22no—
508C22⋊Dic83—22no—
509C22⋊Dic83—22no—
510C22⋊Dic83—22no—
511C22⋊Dic83—22no—
512C22⋊Dic83—22no—
513C22⋊Dic83—22no—
514C22⋊Dic83—22no—
515C22⋊Dic83—22no—
516C22⋊Dic83—41no—
517C22⋊Dic83—41no—
518C22⋊Dic83—41no—
519C22⋊Dic83—41no—
520C22⋊Dic83—41no—
521C22⋊Dic83—41no—
522C22⋊Dic83—41no—
523C22⋊Dic83—41no—
524C22⋊Dic83—41no—
525C22⋊Dic83—41no—
526C22⋊Dic83—41no—
527C22⋊Dic83—41no—
528C22⋊Dic83—41no—
529C22⋊Dic83C2×D414yes—
530(C2×D83)⋊C4—22no—
531(C2×D83)⋊C4—22no—
532(C2×D83)⋊C4—22no—
533(C2×D83)⋊C4—22no—
534(C2×D83)⋊C4—22no—
535(C2×D83)⋊C4—22no—
536(C2×D83)⋊C4—22no—
537(C2×D83)⋊C4—22no—
538(C2×D83)⋊C4—22no—
539(C2×D83)⋊C4—22no—
540(C2×D83)⋊C4—41no—
541(C2×D83)⋊C4—41no—
542(C2×D83)⋊C4—41no—
543(C2×D83)⋊C4—41no—
544(C2×D83)⋊C4—41no—
545(C2×D83)⋊C4—41no—
546(C2×D83)⋊C4—41no—
547(C2×D83)⋊C4—41no—
548(C2×D83)⋊C4—41no—
549(C2×D83)⋊C4—41no—
550(C2×D83)⋊C4C2×D414yes—
551C4×Dic83—22no—
552C4×Dic83—22no—
553C4×Dic83—41no—
554C4×Dic83—41no—
555C4×Dic83—41no—
556C4×Dic83—41no—
557C4×Dic83C2×D414yes—
558C24×C83—22no—
559C24×C83—41no—
560C24×C83—41no—
561C24×C83—41no—
562C24×C83—41no—
563C24×C83—41no—
564C24×C83—41no—
565C24×C83C2411yescharacteristic
566C24×C83C2411yescharacteristic
567C24×C83C2411yescharacteristic
568C24×C83C2411yescharacteristic
569C24×C83C2411yescharacteristic
570#41×C83—416no—
571C2×Q8×C83—22no—
572C2×Q8×C83—22no—
573C2×Q8×C83—41no—
574C2×D4×C83—22no—
575C2×D4×C83—22no—
576C2×D4×C83—22no—
577C2×D4×C83—22no—
578C2×D4×C83—22no—
579C2×D4×C83—22no—
580C2×D4×C83—22no—
581C2×D4×C83—22no—
582C2×D4×C83—41no—
583C2×D4×C83—41no—
584C2×D4×C83—41no—
585C2×D4×C83—41no—
586C2×D4×C83—41no—
587C2×D4×C83—41no—
588C2×D4×C83—41no—
589C2×D4×C83—41no—
590C2×D4×C83—41no—
591C2×D4×C83—41no—
592C2×D4×C83—41no—
593C2×D4×C83—41no—
594C2×D4×C83—41no—
595C22×C4×C83—22no—
596C22×C4×C83—22no—
597C22×C4×C83—22no—
598C22×C4×C83—22no—
599C22×C4×C83—22no—
600C22×C4×C83—41no—
601C22×C4×C83—41no—
602C22×C4×C83—41no—
603C22×C4×C83—41no—
604C22×C4×C83—41no—
605C22×C4×C83—41no—
606C22×C4×C83C2×D414yes—
607C22×C4×C83C2411yescharacteristic
608C22×C4×C83C2411yescharacteristic
609C22×C4×C83C2411yescharacteristic
610C22×C4×C83C2411yescharacteristic
611C22×C4×C83C2411yescharacteristic
612C22×C4×C83C2411yescharacteristic
613C22×C4×C83C2411yescharacteristic
614C22×C4×C83C2411yescharacteristic
615C22×C4×C83C2411yescharacteristic
616C22×C4×C83C2411yescharacteristic
617C22⋊C4×C83—22no—
618C22⋊C4×C83—22no—
619C22⋊C4×C83—22no—
620C22⋊C4×C83—22no—
621C22⋊C4×C83—22no—
622C22⋊C4×C83—22no—
623C22⋊C4×C83—41no—
624C22⋊C4×C83—41no—
625C22⋊C4×C83—41no—
626C22⋊C4×C83—41no—
627C22⋊C4×C83—41no—
628C22⋊C4×C83—41no—
629C22⋊C4×C83—41no—
630C22⋊C4×C83—41no—
631C23×C83—21no—
632C23×C83—21no—
633C23×C83—21no—
634C23×C83—21no—
635C23×C83—21no—
636C23×C83—21no—
637C23×C83—21no—
638C23×C83—21no—
639C23×C83—21no—
640C23×C83—21no—
641C23×C83—21no—
642C23×C83—21no—
643C23×C83—21no—
644C23×C83—21no—
645C23×C83—21no—
646C23×C83—21no—
647C23×C83—21no—
648C23×C83—21no—
649C23×C83—21no—
650C23×C83—21no—
651C23×C83—21no—
652C23×C83—21no—
653C23×C83—21no—
654C23×C83—21no—
655C23×C83—21no—
656C23×C83—21no—
657C23×C83—21no—
658C23×C83—21no—
659C23×C83—21no—
660C23×C83—21no—
661C23×C83—21no—
662C23×C83—21no—
663C23×C83—21no—
664C23×C83—44no—
665C23×C83—82no—
666C23×C83—82no—
667C23×C83—82no—
668C23×C83—82no—
669C23×C83—82no—
670C23×C83—82no—
671C23×C83C22×D412yes—
672C23×C83H(5,𝔽2)12yes—
673C23×C83C2511yescharacteristic
674C22×D83—21no—
675C22×D83—21no—
676C22×D83—21no—
677C22×D83—21no—
678C22×D83—21no—
679C22×D83—21no—
680C22×D83—21no—
681C22×D83—21no—
682C22×D83—21no—
683C22×D83—21no—
684C22×D83—21no—
685C22×D83—21no—
686C22×D83—21no—
687C22×D83—21no—
688C22×D83—21no—
689C22×D83—21no—
690C22×D83—21no—
691C22×D83—21no—
692C22×D83—21no—
693C22×D83—44no—
694C22×D83—44no—
695C22×D83—44no—
696C22×D83—44no—
697C22×D83—44no—
698C22×D83—44no—
699C22×D83—44no—
700C22×D83C22×D412yes—
701C22×D83H(5,𝔽2)12yes—
702Q8×C83—44no—
703D4×C83—44no—
704D4×C83—44no—
705D4×C83—44no—
706D4×C83—82no—
707D4×C83—82no—
708D4×C83—82no—
709D4×C83—82no—
710C2×C4×C83—28no—
711C2×C4×C83—21no—
712C2×C4×C83—21no—
713C2×C4×C83—21no—
714C2×C4×C83—21no—
715C2×C4×C83—21no—
716C2×C4×C83—21no—
717C2×C4×C83—21no—
718C2×C4×C83—21no—
719C2×C4×C83—21no—
720C2×C4×C83—21no—
721C2×C4×C83—21no—
722C2×C4×C83—21no—
723C2×C4×C83—21no—
724C2×C4×C83—21no—
725C2×C4×C83—21no—
726C2×C4×C83—21no—
727C2×C4×C83—21no—
728C2×C4×C83—21no—
729C2×C4×C83—21no—
730C2×C4×C83—21no—
731C2×C4×C83—21no—
732C2×C4×C83—21no—
733C2×C4×C83—21no—
734C2×C4×C83—21no—
735C2×C4×C83—21no—
736C2×C4×C83—21no—
737C2×C4×C83—21no—
738C2×C4×C83—44no—
739C2×C4×C83—44no—
740C2×C4×C83—82no—
741C2×C4×C83C22×D412yes—
742C2×C4×C83C22×D412yes—
743C2×C4×C83H(5,𝔽2)12yes—
744C22⋊D83—44no—
745C22⋊D83—44no—
746C22⋊D83—44no—
747C22⋊D83—44no—
748C22⋊D83—44no—
749C22⋊D83—82no—
750C22⋊D83—82no—
751C22⋊D83—82no—
752C22⋊D83—82no—
753C22⋊D83—82no—
754C22⋊D83—82no—
755C22⋊D83—82no—
756C22⋊D83—82no—
757C2×Dic83—21no—
758C2×Dic83—21no—
759C2×Dic83—21no—
760C2×Dic83—21no—
761C2×Dic83—21no—
762C2×Dic83—21no—
763C2×Dic83—21no—
764C2×Dic83—21no—
765C2×Dic83—21no—
766C2×Dic83—21no—
767C2×Dic83—21no—
768C2×Dic83—21no—
769C2×Dic83—21no—
770C2×Dic83—21no—
771C2×Dic83—21no—
772C2×Dic83—21no—
773C2×Dic83—21no—
774C2×Dic83—21no—
775C2×Dic83—21no—
776C2×Dic83—21no—
777C2×Dic83—21no—
778C2×Dic83—21no—
779C2×Dic83—21no—
780C2×Dic83—21no—
781C2×Dic83—21no—
782C2×Dic83—21no—
783C2×Dic83—21no—
784C2×Dic83—21no—
785C2×Dic83—21no—
786C2×Dic83—21no—
787C2×Dic83—21no—
788C2×Dic83—21no—
789C2×Dic83—21no—
790C2×Dic83—21no—
791C2×Dic83—21no—
792C2×Dic83—21no—
793C2×Dic83—44no—
794C2×Dic83C22×D412yes—
795C2×Dic83C22×D412yes—
796C2×Dic83C22×D412yes—
797D332—82no—
798D332—82no—
799C4×D83—44no—
800C4×D83—44no—
801C4×D83—44no—
802C4×D83—44no—
803C4×D83—82no—
804Dic166—82no—
805C22×C83—22no—
806C22×C83—22no—
807C22×C83—22no—
808C22×C83—22no—
809C22×C83—22no—
810C22×C83—22no—
811C22×C83—41no—
812C22×C83—41no—
813C22×C83—41no—
814C22×C83—41no—
815C22×C83—41no—
816C22×C83—41no—
817C22×C83—41no—
818C22×C83—41no—
819C22×C83—41no—
820C22×C83—41no—
821C22×C83—41no—
822C22×C83—41no—
823C22×C83—41no—
824C22×C83—41no—
825C22×C83—41no—
826C22×C83—41no—
827C22×C83—41no—
828C22×C83—41no—
829C22×C83—41no—
830C22×C83—41no—
831C22×C83—41no—
832C22×C83—41no—
833C22×C83—41no—
834C22×C83—41no—
835C22×C83—41no—
836C22×C83—41no—
837C22×C83—41no—
838C22×C83—41no—
839C22×C83—41no—
840C22×C83—88no—
841C22×C83C23×D411yescharacteristic
842C22×C83C2×H(5,𝔽2)11yescharacteristic
843C22×C83C2×H(5,𝔽2)11yescharacteristic
844C22×C83C2×H(5,𝔽2)11yescharacteristic
845C22×C83#58511yescharacteristic
846C22×C83#58511yescharacteristic
847C22×C83#58511yescharacteristic
848C2×D83—22no—
849C2×D83—22no—
850C2×D83—22no—
851C2×D83—22no—
852C2×D83—22no—
853C2×D83—22no—
854C2×D83—416no—
855C2×D83—41no—
856C2×D83—41no—
857C2×D83—41no—
858C2×D83—41no—
859C2×D83—41no—
860C2×D83—41no—
861C2×D83—41no—
862C2×D83—41no—
863C2×D83—41no—
864C2×D83—41no—
865C2×D83—41no—
866C2×D83—41no—
867C2×D83—41no—
868C2×D83—41no—
869C2×D83—41no—
870C4×C83—22no—
871C4×C83—22no—
872C4×C83—22no—
873C4×C83—41no—
874C4×C83—41no—
875C4×C83—41no—
876C4×C83—41no—
877C4×C83—41no—
878C4×C83—41no—
879C4×C83—41no—
880Dic83—22no—
881Dic83—22no—
882Dic83—22no—
883Dic83—41no—
884Dic83—41no—
885Dic83—41no—
886Dic83—41no—
887Dic83—41no—
888Dic83—41no—
889Dic83—41no—
890Dic83—41no—
891Dic83—41no—
892Dic83—41no—
893#36724—831nomaximal, Sylow
894C2×C83—42no—
895C2×C83—42no—
896C2×C83—81no—
897C2×C83—81no—
898C2×C83—81no—
899C2×C83#344911yescharacteristic
900C2×C83#348411yescharacteristic
901C2×C83#348811yescharacteristic
902C2×C83#353311yescharacteristic
903C2×C83#353411yescharacteristic
904C2×C83#354011yescharacteristic
905C2×C83#354211yescharacteristic
906D83—42no—
907D83—42no—
908D83—81no—
909C2×#538—831no—
910C2×#525—831no—
911#2849—831no—
912#2847—831no—
913#2705—831no—
914#2702—831no—
915#2700—831no—
916#2699—831no—
917#2687—831no—
918#2682—831no—
919#2681—831no—
920#2681—831no—
921#2679—831no—
922#2678—831no—
923#2678—831no—
924#2678—831no—
925#2672—831no—
926#2670—831no—
927#2669—831no—
928#2669—831no—
929#2635—831no—
930#2630—831no—
931#2610—831no—
932#2603—831no—
933#2601—831no—
934#2600—831no—
935#2544—831no—
936#2534—831no—
937#2407—831no—
938#2404D8311yescharacteristic, complemented
939#2319—831no—
940C83#3672411yescharacteristic, complemented, Sylow
941C22×#41C2×D8311yescharacteristic
942C24×C4—831no—
943#538—1668no—
944C2×#127—831no—
945C2×#126—831no—
946C2×#126—831no—
947C2×#124—831no—
948C2×#124—831no—
949C2×#124—831no—
950#525—1668no—
951C2×#123—831no—
952C2×#123—831no—
953C2×#123—831no—
954C2×#123—831no—
955C2×#123—831no—
956C2×#123—831no—
957C2×C22⋊Q8—831no—
958C2×C22⋊Q8—831no—
959C2×C22⋊Q8—831no—
960C2×C22⋊Q8—831no—
961C2×#121—831no—
962C2×#121—831no—
963C2×#121—831no—
964C2×#121—831no—
965C2×#121—831no—
966C2×#121—831no—
967C2×#121—831no—
968C2×#121—831no—
969C2×#120—831no—
970C2×#120—831no—
971C2×#120—831no—
972C2×#120—831no—
973C2×#120—831no—
974C2×#120—831no—
975C2×#120—831no—
976C2×#120—831no—
977C2×#120C2×D8311yescharacteristic
978C2×#120C2×D8311yescharacteristic, complemented
979C2×C4×D4—831no—
980C2×C4×D4—831no—
981C2×C4×D4—831no—
982C2×C4×D4—831no—
983C2×C4×D4—831no—
984C2×#117—831no—
985C22×C22⋊C4C2×D8311yescharacteristic, complemented
986#400—831no—
987#399—831no—
988#398—831no—
989#398—831no—
990#398—831no—
991#397—831no—
992#397—831no—
993#397—831no—
994#396—831no—
995#396—831no—
996#396—831no—
997#396—831no—
998#396—831no—
999#396—831no—
1000#395—831no—
1001#394—831no—
1002#394—831no—
1003#394—831no—
1004#394—831no—
1005#394—831no—
1006#394—831no—
1007#394—831no—
1008#394—831no—
1009#394—831no—
1010#394—831no—
1011#394—831no—
1012#394—831no—
1013#394—831no—
1014#394—831no—
1015#394—831no—
1016#394—831no—
1017#394—831no—
1018#394—831no—
1019#394—831no—
1020#393—831no—
1021#393C2×D8311yescharacteristic, complemented
1022#393C2×D8311yescharacteristic, complemented
1023#392—831no—
1024#392—831no—
1025#392—831no—
1026#392—831no—
1027#392—831no—
1028#392—831no—
1029#392—831no—
1030#392—831no—
1031#392—831no—
1032#392C2×D8311yescharacteristic
1033#392C2×D8311yescharacteristic
1034#391—831no—
1035#391—831no—
1036#390—831no—
1037#390—831no—
1038#390—831no—
1039#390—831no—
1040#390—831no—
1041#390—831no—
1042#390—831no—
1043#390—831no—
1044#390—831no—
1045#389—831no—
1046#389—831no—
1047#389—831no—
1048#388—831no—
1049#388—831no—
1050#388—831no—
1051#388—831no—
1052#388—831no—
1053#388—831no—
1054#388—831no—
1055#388—831no—
1056#388—831no—
1057#388—831no—
1058#388—831no—
1059#388—831no—
1060#388—831no—
1061#388—831no—
1062#387—831no—
1063#387—831no—
1064#386—831no—
1065#386—831no—
1066#386—831no—
1067#386—831no—
1068#386—831no—
1069#386—831no—
1070#386—831no—
1071#386—831no—
1072#386—831no—
1073#386—831no—
1074#386C2×D8311yescharacteristic
1075#386C2×D8311yescharacteristic
1076#386C2×D8311yescharacteristic
1077#386C2×D8311yescharacteristic, complemented
1078#386C2×D8311yescharacteristic, complemented
1079#386C2×D8311yescharacteristic, complemented
1080#385—831no—
1081#385—831no—
1082#385—831no—
1083#385—831no—
1084#385—831no—
1085#385—831no—
1086#381—831no—
1087#381—831no—
1088#381—831no—
1089#381C2×D8311yescharacteristic, complemented
1090#380—831no—
1091#380—831no—
1092#380—831no—
1093#380—831no—
1094#379—831no—
1095#379—831no—
1096C4×C4⋊C4—831no—
1097#376—831no—
1098C25—831no—
1099C25C22×D8311yescharacteristic
1100C2×#41—24no—
1101C2×#41—42no—
1102C2×#41—42no—
1103C22×Q8—831no—
1104C22×Q8C22×D8311yescharacteristic
1105C22×D4—831no—
1106C22×D4—831no—
1107C22×D4—831no—
1108C22×D4—831no—
1109C22×D4—831no—
1110C22×D4—831no—
1111C22×D4—831no—
1112C22×D4—831no—
1113C22×D4—831no—
1114C22×D4—831no—
1115C22×D4—831no—
1116C22×D4—831no—
1117C22×D4—831no—
1118C22×D4—831no—
1119C22×D4—831no—
1120C22×D4C22×D8311yescharacteristic
1121C22×D4C22×D8311yescharacteristic
1122C22×D4C22×D8311yescharacteristic
1123C22×D4C22×D8311yescharacteristic
1124C22×D4C22×D8311yescharacteristic
1125C22×D4C22×D8311yescharacteristic
1126C22×D4C22×D8311yescharacteristic
1127C23×C4—3322no—
1128C23×C4—3322no—
1129C23×C4—831no—
1130C23×C4—831no—
1131C23×C4—831no—
1132C23×C4—831no—
1133C23×C4—831no—
1134C23×C4—831no—
1135C23×C4—1664no—
1136C23×C4C22×D8311yescharacteristic
1137C23×C4C22×D8311yescharacteristic
1138C23×C4C22×D8311yescharacteristic
1139C23×C4C22×D8311yescharacteristic
1140#127—3322no—
1141#126—1664no—
1142#126—1664no—
1143#124—3322no—
1144#124—1664no—
1145#124—1664no—
1146#123—3322no—
1147#123—3322no—
1148#123—1664no—
1149#123—1664no—
1150#123—1664no—
1151#123—1664no—
1152C22⋊Q8—3322no—
1153C22⋊Q8—1664no—
1154C22⋊Q8—1664no—
1155C22⋊Q8—1664no—
1156#121—3322no—
1157#121—3322no—
1158#121—3322no—
1159#121—1664no—
1160#121—1664no—
1161#121—1664no—
1162#121—1664no—
1163#121—1664no—
1164#120—42no—
1165#120—42no—
1166#120—3322no—
1167#120—3322no—
1168#120—3322no—
1169#120—3322no—
1170#120—1664no—
1171#120—1664no—
1172#120—1664no—
1173#120—1664no—
1174C4×D4—838no—
1175C4×D4—1664no—
1176C4×D4—1664no—
1177C4×D4—1664no—
1178C4×D4—1664no—
1179#117—1664no—
1180C2×C4⋊C4—831no—
1181C2×C4⋊C4—831no—
1182C2×C4⋊C4—831no—
1183C2×C4⋊C4—831no—
1184C2×C4⋊C4—831no—
1185C2×C4⋊C4—831no—
1186C2×C4⋊C4—831no—
1187C2×C4⋊C4—831no—
1188C2×C4⋊C4—831no—
1189C2×C4⋊C4—831no—
1190C2×C4⋊C4—831no—
1191C2×C4⋊C4—831no—
1192C2×C4⋊C4—831no—
1193C2×C4⋊C4—831no—
1194C2×C4⋊C4—831no—
1195C2×C4⋊C4—831no—
1196C2×C4⋊C4—831no—
1197C2×C4⋊C4—831no—
1198C2×C4⋊C4—831no—
1199C2×C4⋊C4—831no—
1200C2×C4⋊C4—831no—
1201C2×C4⋊C4—831no—
1202C2×C4⋊C4—831no—
1203C2×C4⋊C4—831no—
1204C2×C22⋊C4—24no—
1205C2×C22⋊C4—831no—
1206C2×C22⋊C4—831no—
1207C2×C22⋊C4—831no—
1208C2×C22⋊C4—831no—
1209C2×C22⋊C4—831no—
1210C2×C22⋊C4—831no—
1211C2×C22⋊C4—831no—
1212C2×C22⋊C4—831no—
1213C2×C22⋊C4—831no—
1214C2×C22⋊C4—831no—
1215C2×C22⋊C4—831no—
1216C2×C22⋊C4—831no—
1217C2×C22⋊C4—831no—
1218C2×C22⋊C4—831no—
1219C2×C22⋊C4—831no—
1220C2×C22⋊C4—831no—
1221C2×C22⋊C4—831no—
1222C2×C22⋊C4—831no—
1223C2×C22⋊C4—831no—
1224C2×C22⋊C4—831no—
1225C2×C22⋊C4—831no—
1226C2×C22⋊C4—831no—
1227C2×C22⋊C4—831no—
1228C2×C22⋊C4—831no—
1229C2×C22⋊C4—831no—
1230C2×C22⋊C4—831no—
1231C2×C22⋊C4—831no—
1232C2×C22⋊C4—831no—
1233C2×C22⋊C4—831no—
1234C2×C22⋊C4—831no—
1235C2×C22⋊C4—831no—
1236C2×C22⋊C4—831no—
1237C2×C22⋊C4—831no—
1238C2×C22⋊C4—831no—
1239C2×C22⋊C4—831no—
1240C2×C22⋊C4—831no—
1241C2×C22⋊C4—831no—
1242C2×C22⋊C4—831no—
1243C2×C22⋊C4—831no—
1244C2×C22⋊C4—831no—
1245C2×C22⋊C4—831no—
1246C2×C22⋊C4—831no—
1247C2×C22⋊C4—831no—
1248C2×C22⋊C4—831no—
1249C2×C22⋊C4—831no—
1250C2×C22⋊C4—831no—
1251C2×C22⋊C4C22×D8311yescharacteristic
1252C2×C22⋊C4C22×D8311yescharacteristic
1253C2×C22⋊C4C22×D8311yescharacteristic
1254C2×C22⋊C4C22×D8311yescharacteristic
1255C2×C22⋊C4C22×D8311yescharacteristic
1256C2×C22⋊C4C22×D8311yescharacteristic
1257C2×C22⋊C4C22×D8311yescharacteristic
1258C2×C22⋊C4C22×D8311yescharacteristic
1259C2×C22⋊C4C22×D8311yescharacteristic
1260C2×C22⋊C4C22×D8311yescharacteristic
1261C2×C22⋊C4C22×D8311yescharacteristic
1262C2×C22⋊C4C22×D8311yescharacteristic
1263C2×C22⋊C4C22×D8311yescharacteristic
1264C2×C22⋊C4C22×D8311yescharacteristic
1265C2×C42—831no—
1266C2×C42—831no—
1267C2×C42—831no—
1268C2×C42—831no—
1269C2×C42—831no—
1270C2×C42—831no—
1271C2×C42—831no—
1272#95—831no—
1273#95—831no—
1274#95—831no—
1275#95—831no—
1276#95—831no—
1277#95—831no—
1278#95—831no—
1279#95—831no—
1280#95—831no—
1281#95—831no—
1282#95—831no—
1283#95—831no—
1284#95—831no—
1285#95—831no—
1286#95—831no—
1287#95—831no—
1288#95—831no—
1289#95—831no—
1290#95—831no—
1291#95—831no—
1292#95C22×D8311yescharacteristic
1293#95C22×D8311yescharacteristic
1294#95C22×D8311yescharacteristic
1295#95C22×D8311yescharacteristic
1296#95C22×D8311yescharacteristic
1297#95C22×D8311yescharacteristic
1298#95C22×D8311yescharacteristic
1299#95C22×D8311yescharacteristic
1300C24—22no—
1301C24—41no—
1302C24—41no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—3321no—
1308C24—3321no—
1309C24—3321no—
1310C24—3321no—
1311C24—831no—
1312C24—831no—
1313C24—831no—
1314C24—1662no—
1315C24—1662no—
1316C24—1662no—
1317C24C23×D8311yescharacteristic
1318C24C23×D8311yescharacteristic
1319C24C23×D8311yescharacteristic
1320C24C23×D8311yescharacteristic
1321C24C23×D8311yescharacteristic
1322#41—416no—
1323C2×Q8—22no—
1324C2×Q8—22no—
1325C2×Q8—41no—
1326C2×Q8—3321no—
1327C2×Q8—3321no—
1328C2×Q8—1662no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—3321no—
1351C2×D4—3321no—
1352C2×D4—3321no—
1353C2×D4—3321no—
1354C2×D4—3321no—
1355C2×D4—3321no—
1356C2×D4—3321no—
1357C2×D4—3321no—
1358C2×D4—3321no—
1359C2×D4—3321no—
1360C2×D4—3321no—
1361C2×D4—3321no—
1362C2×D4—3321no—
1363C2×D4—3321no—
1364C2×D4—3321no—
1365C2×D4—3321no—
1366C2×D4—3321no—
1367C2×D4—3321no—
1368C2×D4—3321no—
1369C2×D4—3321no—
1370C2×D4—3321no—
1371C2×D4—3321no—
1372C2×D4—3321no—
1373C2×D4—3321no—
1374C2×D4—3321no—
1375C2×D4—3321no—
1376C2×D4—3321no—
1377C2×D4—3321no—
1378C2×D4—3321no—
1379C2×D4—834no—
1380C2×D4—1662no—
1381C2×D4—1662no—
1382C2×D4—1662no—
1383C2×D4—1662no—
1384C2×D4—1662no—
1385C2×D4—1662no—
1386C2×D4—1662no—
1387C2×D4—1662no—
1388C2×D4—1662no—
1389C2×D4—1662no—
1390C2×D4—1662no—
1391C2×D4—1662no—
1392C2×D4—1662no—
1393C2×D4—1662no—
1394C2×D4—1662no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—41no—
1405C22×C4—41no—
1406C22×C4—33216no—
1407C22×C4—3321no—
1408C22×C4—3321no—
1409C22×C4—3321no—
1410C22×C4—3321no—
1411C22×C4—3321no—
1412C22×C4—3321no—
1413C22×C4—3321no—
1414C22×C4—3321no—
1415C22×C4—3321no—
1416C22×C4—834no—
1417C22×C4—831no—
1418C22×C4—831no—
1419C22×C4—831no—
1420C22×C4—831no—
1421C22×C4—831no—
1422C22×C4—831no—
1423C22×C4—831no—
1424C22×C4—831no—
1425C22×C4—831no—
1426C22×C4—831no—
1427C22×C4—831no—
1428C22×C4—831no—
1429C22×C4—831no—
1430C22×C4—1662no—
1431C22×C4—1662no—
1432C22×C4—1662no—
1433C22×C4—1662no—
1434C22×C4—1662no—
1435C22×C4—1662no—
1436C22×C4—1662no—
1437C22×C4—1662no—
1438C22×C4D4×D8314yes—
1439C22×C4C23×D8311yescharacteristic
1440C22×C4C23×D8311yescharacteristic
1441C22×C4C23×D8311yescharacteristic
1442C22×C4C23×D8311yescharacteristic
1443C22×C4C23×D8311yescharacteristic
1444C22×C4C23×D8311yescharacteristic
1445C22×C4C23×D8311yescharacteristic
1446C22×C4C23×D8311yescharacteristic
1447C22×C4C23×D8311yescharacteristic
1448C22×C4C23×D8311yescharacteristic
1449C4⋊C4—3321no—
1450C4⋊C4—3321no—
1451C4⋊C4—3321no—
1452C4⋊C4—3321no—
1453C4⋊C4—3321no—
1454C4⋊C4—3321no—
1455C4⋊C4—3321no—
1456C4⋊C4—3321no—
1457C4⋊C4—3321no—
1458C4⋊C4—3321no—
1459C4⋊C4—3321no—
1460C4⋊C4—3321no—
1461C4⋊C4—834no—
1462C4⋊C4—1662no—
1463C4⋊C4—1662no—
1464C4⋊C4—1662no—
1465C4⋊C4—1662no—
1466C4⋊C4—1662no—
1467C4⋊C4—1662no—
1468C4⋊C4—1662no—
1469C4⋊C4—1662no—
1470C4⋊C4—1662no—
1471C4⋊C4—1662no—
1472C4⋊C4—1662no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—3321no—
1488C22⋊C4—3321no—
1489C22⋊C4—3321no—
1490C22⋊C4—3321no—
1491C22⋊C4—3321no—
1492C22⋊C4—3321no—
1493C22⋊C4—3321no—
1494C22⋊C4—3321no—
1495C22⋊C4—3321no—
1496C22⋊C4—3321no—
1497C22⋊C4—3321no—
1498C22⋊C4—3321no—
1499C22⋊C4—3321no—
1500C22⋊C4—3321no—
1501C22⋊C4—3321no—
1502C22⋊C4—3321no—
1503C22⋊C4—3321no—
1504C22⋊C4—3321no—
1505C22⋊C4—3321no—
1506C22⋊C4—3321no—
1507C22⋊C4—3321no—
1508C22⋊C4—3321no—
1509C22⋊C4—3321no—
1510C22⋊C4—834no—
1511C22⋊C4—834no—
1512C22⋊C4—1662no—
1513C22⋊C4—1662no—
1514C22⋊C4—1662no—
1515C22⋊C4—1662no—
1516C22⋊C4—1662no—
1517C22⋊C4—1662no—
1518C22⋊C4—1662no—
1519C22⋊C4—1662no—
1520C22⋊C4—1662no—
1521C22⋊C4—1662no—
1522C22⋊C4—1662no—
1523C22⋊C4—1662no—
1524C22⋊C4—1662no—
1525C22⋊C4—1662no—
1526C22⋊C4—1662no—
1527C22⋊C4—1662no—
1528C22⋊C4—1662no—
1529C22⋊C4—1662no—
1530C22⋊C4—1662no—
1531C22⋊C4—1662no—
1532C22⋊C4—1662no—
1533C42—3321no—
1534C42—3321no—
1535C42—3321no—
1536C42—3321no—
1537C42—834no—
1538C42—1662no—
1539C42—1662no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—44no—
1574C23—82no—
1575C23—82no—
1576C23—82no—
1577C23—82no—
1578C23—82no—
1579C23—82no—
1580C23—3324no—
1581C23—3324no—
1582C23—3324no—
1583C23—3324no—
1584C23—3324no—
1585C23—3324no—
1586C23—3324no—
1587C23—832no—
1588C23—832no—
1589C23—1661no—
1590C23—1661no—
1591C23—1661no—
1592C23—1661no—
1593C23—1661no—
1594C23—1661no—
1595C23—1661no—
1596C23—1661no—
1597C23—1661no—
1598C23—1661no—
1599C23—1661no—
1600C23—1661no—
1601C23—1661no—
1602C23—1661no—
1603C23—1661no—
1604C23—1661no—
1605C23—1661no—
1606C23—1661no—
1607C23—1661no—
1608C23C2×D4×D8312yes—
1609C23#1458183712yes—
1610C23C24×D8311yescharacteristic
1611Q8—44no—
1612Q8—6642no—
1613D4—44no—
1614D4—44no—
1615D4—44no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—82no—
1620D4—3324no—
1621D4—3324no—
1622D4—3324no—
1623D4—3324no—
1624D4—3324no—
1625D4—6642no—
1626D4—6642no—
1627D4—6642no—
1628D4—6642no—
1629D4—6642no—
1630D4—6642no—
1631D4—6642no—
1632D4—6642no—
1633D4—6642no—
1634D4—6642no—
1635C2×C4—28no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—82no—
1666C2×C4—3324no—
1667C2×C4—3324no—
1668C2×C4—3324no—
1669C2×C4—3324no—
1670C2×C4—3324no—
1671C2×C4—832no—
1672C2×C4—832no—
1673C2×C4—832no—
1674C2×C4—6642no—
1675C2×C4—1661no—
1676C2×C4—1661no—
1677C2×C4—1661no—
1678C2×C4—1661no—
1679C2×C4—1661no—
1680C2×C4—1661no—
1681C2×C4—1661no—
1682C2×C4—1661no—
1683C2×C4—1661no—
1684C2×C4—1661no—
1685C2×C4—1661no—
1686C2×C4—1661no—
1687C2×C4—1661no—
1688C2×C4—1661no—
1689C2×C4—1661no—
1690C2×C4—1661no—
1691C2×C4—1661no—
1692C2×C4—1661no—
1693C2×C4—1661no—
1694C2×C4—1661no—
1695C2×C4—1661no—
1696C2×C4—1661no—
1697C2×C4—1661no—
1698C2×C4—1661no—
1699C2×C4—1661no—
1700C2×C4—1661no—
1701C2×C4—1661no—
1702C2×C4—1661no—
1703C2×C4—1661no—
1704C2×C4—1661no—
1705C2×C4—1661no—
1706C2×C4—1661no—
1707C2×C4—1661no—
1708C2×C4—1661no—
1709C2×C4—1661no—
1710C2×C4—1661no—
1711C2×C4C2×D4×D8312yes—
1712C2×C4C2×D4×D8312yes—
1713C2×C4#1458183712yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—88no—
1750C22—33216no—
1751C22—3321no—
1752C22—3321no—
1753C22—3321no—
1754C22—3321no—
1755C22—3321no—
1756C22—3321no—
1757C22—3321no—
1758C22—3321no—
1759C22—3321no—
1760C22—3321no—
1761C22—3321no—
1762C22—3321no—
1763C22—3321no—
1764C22—3321no—
1765C22—3321no—
1766C22—1662no—
1767C22—1662no—
1768C22—1662no—
1769C22—1662no—
1770C22—1662no—
1771C22—1662no—
1772C22C22×D4×D8311yescharacteristic
1773C22H(5,𝔽2)×D8311yescharacteristic
1774C22C2×#1458183711yescharacteristic
1775C22C2×#1458183711yescharacteristic
1776C22#1912853611yescharacteristic
1777C22#1912853711yescharacteristic
1778C22#1912853711yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—3321no—
1790C4—3321no—
1791C4—3321no—
1792C4—3321no—
1793C4—3321no—
1794C4—3321no—
1795C4—3321no—
1796C4—3321no—
1797C4—3321no—
1798C4—3321no—
1799C4—1662no—
1800C4—1662no—
1801C4—1662no—
1802C2—42no—
1803C2—42no—
1804C2—81no—
1805C2—81no—
1806C2—81no—
1807C2—3322no—
1808C2—3322no—
1809C2—6641no—
1810C2#2492079311yescharacteristic
1811C2#2492109211yescharacteristic
1812C2#2492113011yescharacteristic
1813C2#2492162211yescharacteristic
1814C2#2492164511yescharacteristic
1815C2#2492172711yescharacteristic
1816C2#2492177711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2404C2
hypercenter#2404D83
hypocenterC83#36724
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2404

Complements

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

NH ≅ G/Ntype
1. C2×#19128289C2semidirect
2. C2×#19128208C2semidirect
3. #24915754C2semidirect
4. #24915744C2semidirect
5. #24914143C2semidirect
6. #24914098C2semidirect
7. #24914068C2semidirect
8. #24914052C2semidirect
9. #24913888C2semidirect
10. #24913830C2semidirect
11. #24913822C2semidirect
12. #24913822C2semidirect
13. #24913797C2semidirect
14. #24913789C2semidirect
15. #24913788C2semidirect
16. #24913784C2semidirect
17. #24913718C2semidirect
18. #24913690C2semidirect
19. #24913682C2semidirect
20. #24913677C2semidirect
21. #24913351C2semidirect
22. #24913306C2semidirect
23. #24913146C2semidirect
24. #24913087C2semidirect
25. #24913056C2semidirect
26. #24913050C2semidirect
27. #24912432C2semidirect
28. #24912353C2semidirect
29. #24910802C2semidirect
30. #24910103C2semidirect
31. C83×#2404C2semidirect
32. C23×C4×D83C22semidirect
35. C2×#14581785C22semidirect
36. C2×#14581785C22semidirect
38. C2×#14581778C22semidirect
39. C2×#14581778C22semidirect
44. C2×#14581774C22semidirect
46. C2×#14581773C22semidirect
47. C2×#14581771C22semidirect
48. C2×#14581768C22semidirect
49. C2×#14581768C22semidirect
50. C2×#14581768C22semidirect
58. C2×#14581763C22semidirect
59. C2×#14581762C22semidirect
62. C2×#14581761C22semidirect
66. C2×#14581760C22semidirect
69. C2×C4×C22⋊D83C22semidirect
70. C2×C4×C22⋊D83C22semidirect
71. C2×C4×C22⋊D83C22semidirect
72. C2×#14581751C22semidirect
73. #19127642C22semidirect
74. #19127637C22semidirect
75. #19127635C22semidirect
76. #19127635C22semidirect
77. #19127633C22semidirect
78. #19127630C22semidirect
79. #19127629C22semidirect
80. #19127626C22semidirect
81. #19127624C22semidirect
82. #19127624C22semidirect
83. #19127624C22semidirect
84. #19127624C22semidirect
85. #19127624C22semidirect
86. #19127624C22semidirect
87. #19127622C22semidirect
88. #19127619C22semidirect
89. #19127619C22semidirect
94. #19127617C22semidirect
95. #19127617C22semidirect
96. #19127617C22semidirect
99. #19127616C22semidirect
100. #19127616C22semidirect
101. #19127616C22semidirect
104. #19127615C22semidirect
105. #19127615C22semidirect
106. #19127615C22semidirect
107. #19127613C22semidirect
109. #19127610C22semidirect
115. #19127609C22semidirect
116. #19127609C22semidirect
117. #19127608C22semidirect
118. #19127605C22semidirect
121. #19127604C22semidirect
122. #19127604C22semidirect
126. #19127601C22semidirect
127. #19127601C22semidirect
128. #19127598C22semidirect
129. #19127598C22semidirect
130. #19127598C22semidirect
131. #19127595C22semidirect
132. #19127595C22semidirect
133. #19127594C22semidirect
134. #19127594C22semidirect
135. #19127594C22semidirect
136. #19127593C22semidirect
137. #19127593C22semidirect
138. #19127593C22semidirect
139. #19127593C22semidirect
140. #19127593C22semidirect
141. #19127593C22semidirect
142. #19127589C22semidirect
143. #19127589C22semidirect
144. #19127589C22semidirect
145. #19127586C22semidirect
146. #19127586C22semidirect
148. #19127580C22semidirect
149. #19127580C22semidirect
150. #19127579C22semidirect
151. #19127579C22semidirect
152. #19127579C22semidirect
157. #19127576C22semidirect
158. #19127575C22semidirect
159. #19127575C22semidirect
160. #19127575C22semidirect
161. #19127574C22semidirect
162. #19127574C22semidirect
163. #19127564C22semidirect
164. #19127563C22semidirect
165. #19127563C22semidirect
166. #19127561C22semidirect
167. #19127560C22semidirect
168. #19127560C22semidirect
169. #19127559C22semidirect
170. #19127557C22semidirect
171. #19127556C22semidirect
172. #19127552C22semidirect
173. #19127546C22semidirect
176. C2×#120×C83C22semidirect
177. C22×C22⋊C4×C83C22semidirect
178. #393×C83C22semidirect
179. #393×C83C22semidirect
185. #386×C83C22semidirect
186. #386×C83C22semidirect
187. #386×C83C22semidirect
188. #381×C83C22semidirect
251. C4×C22⋊D83D4semidirect
938. #2404D83semidirect
940. C83#36724semidirect
978. C2×#120C2×D83semidirect
985. C22×C22⋊C4C2×D83semidirect
1021. #393C2×D83semidirect
1022. #393C2×D83semidirect
1077. #386C2×D83semidirect
1078. #386C2×D83semidirect
1079. #386C2×D83semidirect
1089. #381C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282892
C2×#191282082
#249157542
#249157442
#249141432
#249140982
#249140682
#249140522
#249138882
#249138302
#249138222
#249137972
#249137892
#249137882
#249137842
#249137182
#249136902
#249136822
#249136772
#249133512
#249133062
#249131462
#249130872
#249130562
#249130502
#249124322
#249123532
#249108022
#249101032
C83×#24042
#3672483