Finite Group Databasebeta

← #35611924

Subgroups — #35611924

Order 21248.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128303C211yesmaximal, characteristic, complemented
2C2×#19128285C211yesmaximal, characteristic, complemented
3#24915806C211yesmaximal, characteristic, complemented
4#24915795C211yesmaximal, characteristic, complemented
5#24914358C211yesmaximal, characteristic, complemented
6#24914263C211yesmaximal, characteristic, complemented
7#24913985C211yesmaximal, characteristic, complemented
8#24913818C211yesmaximal, characteristic, complemented
9#24913807C211yesmaximal, characteristic, complemented
10#24913793C211yesmaximal, characteristic, complemented
11#24913759C211yesmaximal, characteristic, complemented
12#24913754C211yesmaximal, characteristic, complemented
13#24913736C211yesmaximal, characteristic, complemented
14#24913722C211yesmaximal, characteristic, complemented
15#24913699C211yesmaximal, characteristic, complemented
16#24913696C211yesmaximal, characteristic, complemented
17#24913681C211yesmaximal, characteristic, complemented
18#24913675C211yesmaximal, characteristic, complemented
19#24913670C211yesmaximal, characteristic, complemented
20#24913590C211yesmaximal, characteristic, complemented
21#24913590C211yesmaximal, characteristic, complemented
22#24913145C211yesmaximal, characteristic, complemented
23#24913087C211yesmaximal, characteristic, complemented
24#24913081C211yesmaximal, characteristic, complemented
25#24913063C211yesmaximal, characteristic, complemented
26#24912401C211yesmaximal, characteristic, complemented
27#24912390C211yesmaximal, characteristic, complemented
28#24910879C211yesmaximal, characteristic, complemented
29#24910841C211yesmaximal, characteristic, complemented
30#24909899C211yesmaximal, characteristic, complemented
31C83×#2672C211yesmaximal, characteristic, complemented
32#19128303—28no—
33#19128285—28no—
34C2×#14581788C2211yescharacteristic
35C2×#14581788C2211yescharacteristic
36C2×#14581786C2211yescharacteristic
37C2×#14581785C2211yescharacteristic
38C2×#14581782C2211yescharacteristic, complemented
39C2×#14581781C2211yescharacteristic
40C2×#14581777C2211yescharacteristic
41C2×#14581777C2211yescharacteristic
42C2×#14581777C2211yescharacteristic
43C2×#14581776C2211yescharacteristic
44C2×#14581776C2211yescharacteristic, complemented
45C2×#14581774C2211yescharacteristic
46C2×#14581774C2211yescharacteristic
47C2×#14581768C2211yescharacteristic
48C2×#14581768C2211yescharacteristic, complemented
49C2×#14581767C2211yescharacteristic
50C2×#14581767C2211yescharacteristic
51C2×#14581767C2211yescharacteristic, complemented
52C2×#14581766C2211yescharacteristic
53C2×#14581766C2211yescharacteristic
54C2×#14581766C2211yescharacteristic
55C2×#14581766C2211yescharacteristic, complemented
56C2×#14581765C2211yescharacteristic
57C2×#14581765C2211yescharacteristic
58C2×#14581765C2211yescharacteristic
59C2×#14581765C2211yescharacteristic, complemented
60C2×#14581765C2211yescharacteristic, complemented
61C2×#14581764C2211yescharacteristic
62C2×#14581764C2211yescharacteristic
63C2×#14581764C2211yescharacteristic, complemented
64C2×#14581764C2211yescharacteristic, complemented
65C2×#14581762C2211yescharacteristic
66C2×#14581762C2211yescharacteristic
67C2×#14581762C2211yescharacteristic
68C2×#14581760C2211yescharacteristic
69C2×#14581760C2211yescharacteristic
70C2×C4×D332C2211yescharacteristic
71C2×C4×C22⋊D83C2211yescharacteristic, complemented
72C2×(C22⋊D83)⋊C4C2211yescharacteristic
73C2×#14581750C2211yescharacteristic
74C2×#14581750C2211yescharacteristic, complemented
75C2×C22⋊C4×D83C2211yescharacteristic
76C22×C4×Dic83C2211yescharacteristic, complemented
77#19127636C2211yescharacteristic
78#19127636C2211yescharacteristic
79#19127636C2211yescharacteristic, complemented
80#19127635C2211yescharacteristic, complemented
81#19127634C2211yescharacteristic, complemented
82#19127634C2211yescharacteristic, complemented
83#19127634C2211yescharacteristic, complemented
84#19127630C2211yescharacteristic
85#19127630C2211yescharacteristic
86#19127630C2211yescharacteristic, complemented
87#19127629C2211yescharacteristic
88#19127624C2211yescharacteristic
89#19127623C2211yescharacteristic
90#19127623C2211yescharacteristic, complemented
91#19127618C2211yescharacteristic
92#19127618C2211yescharacteristic
93#19127618C2211yescharacteristic
94#19127618C2211yescharacteristic
95#19127617C2211yescharacteristic
96#19127617C2211yescharacteristic
97#19127617C2211yescharacteristic
98#19127617C2211yescharacteristic
99#19127617C2211yescharacteristic, complemented
100#19127616C2211yescharacteristic, complemented
101#19127616C2211yescharacteristic, complemented
102#19127616C2211yescharacteristic, complemented
103#19127612C2211yescharacteristic, complemented
104#19127611C2211yescharacteristic
105#19127611C2211yescharacteristic
106#19127611C2211yescharacteristic
107#19127611C2211yescharacteristic
108#19127610C2211yescharacteristic
109#19127610C2211yescharacteristic
110#19127610C2211yescharacteristic
111#19127610C2211yescharacteristic
112#19127610C2211yescharacteristic
113#19127610C2211yescharacteristic
114#19127610C2211yescharacteristic, complemented
115#19127610C2211yescharacteristic, complemented
116#19127609C2211yescharacteristic
117#19127609C2211yescharacteristic
118#19127609C2211yescharacteristic
119#19127604C2211yescharacteristic
120#19127603C2211yescharacteristic, complemented
121#19127602C2211yescharacteristic
122#19127602C2211yescharacteristic
123#19127602C2211yescharacteristic
124#19127602C2211yescharacteristic, complemented
125#19127602C2211yescharacteristic, complemented
126#19127601C2211yescharacteristic
127#19127601C2211yescharacteristic
128#19127601C2211yescharacteristic
129#19127601C2211yescharacteristic
130#19127601C2211yescharacteristic, complemented
131#19127601C2211yescharacteristic, complemented
132#19127600C2211yescharacteristic, complemented
133#19127600C2211yescharacteristic, complemented
134#19127594C2211yescharacteristic
135#19127594C2211yescharacteristic
136#19127594C2211yescharacteristic, complemented
137#19127593C2211yescharacteristic
138#19127593C2211yescharacteristic
139#19127593C2211yescharacteristic
140#19127593C2211yescharacteristic, complemented
141#19127593C2211yescharacteristic, complemented
142#19127593C2211yescharacteristic, complemented
143#19127593C2211yescharacteristic, complemented
144#19127591C2211yescharacteristic
145#19127591C2211yescharacteristic
146#19127591C2211yescharacteristic, complemented
147#19127588C2211yescharacteristic, complemented
148#19127585C2211yescharacteristic, complemented
149#19127583C2211yescharacteristic, complemented
150#19127582C2211yescharacteristic, complemented
151#19127580C2211yescharacteristic
152#19127579C2211yescharacteristic
153#19127579C2211yescharacteristic, complemented
154#19127578C2211yescharacteristic
155#19127578C2211yescharacteristic
156#19127578C2211yescharacteristic, complemented
157#19127577C2211yescharacteristic
158#19127577C2211yescharacteristic
159#19127577C2211yescharacteristic
160#19127577C2211yescharacteristic, complemented
161#19127576C2211yescharacteristic, complemented
162#19127575C2211yescharacteristic
163#19127575C2211yescharacteristic, complemented
164#19127575C2211yescharacteristic, complemented
165#19127574C2211yescharacteristic, complemented
166#19127572C2211yescharacteristic, complemented
167#19127570C2211yescharacteristic, complemented
168#19127558C2211yescharacteristic, complemented
169#19127556C2211yescharacteristic
170C4⋊C4×Dic83C2211yescharacteristic, complemented
171C22⋊C4×Dic83C2211yescharacteristic, complemented
172#19127548C2211yescharacteristic
173#19127546C2211yescharacteristic, complemented
174C2×#124×C83C2211yescharacteristic
175C2×#123×C83C2211yescharacteristic, complemented
176C2×C22⋊Q8×C83C2211yescharacteristic, complemented
177C2×#121×C83C2211yescharacteristic
178#399×C83C2211yescharacteristic
179#396×C83C2211yescharacteristic
180#395×C83C2211yescharacteristic, complemented
181#394×C83C2211yescharacteristic
182#394×C83C2211yescharacteristic
183#394×C83C2211yescharacteristic, complemented
184#389×C83C2211yescharacteristic, complemented
185#388×C83C2211yescharacteristic, complemented
186#386×C83C2211yescharacteristic
187#385×C83C2211yescharacteristic, complemented
188#380×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×D332C2311yescharacteristic
196C22×D332C2311yescharacteristic
197C22×D332C2311yescharacteristic
198C22×D332C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C22×C22⋊D83C2311yescharacteristic
206C22×C22⋊D83C2311yescharacteristic
207C22×C22⋊D83C2311yescharacteristic
208C22×C22⋊D83C2311yescharacteristic
209C22×C22⋊D83C2311yescharacteristic
210C22×C22⋊D83C2311yescharacteristic
211C22×C22⋊D83C2311yescharacteristic
212C23×Dic83C2311yescharacteristic
213C23×Dic83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219#14581788—24no—
220#14581788—42no—
221#14581786—24no—
222#14581785—24no—
223#14581782—24no—
224#14581781—24no—
225#14581777—24no—
226#14581777—42no—
227#14581777—42no—
228#14581776—24no—
229#14581776—24no—
230#14581774—24no—
231#14581774—24no—
232#14581768—24no—
233#14581768—42no—
234#14581767—24no—
235#14581767—42no—
236#14581767—42no—
237#14581766—24no—
238#14581766—42no—
239#14581766—42no—
240#14581766—42no—
241#14581765—24no—
242#14581765—24no—
243#14581765—24no—
244#14581765—24no—
245#14581765—24no—
246#14581764—24no—
247#14581764—24no—
248#14581764—42no—
249#14581764—42no—
250#14581762—24no—
251#14581762—42no—
252#14581762—42no—
253#14581760—24no—
254#14581760—42no—
255C4×D332—24no—
256C4×C22⋊D83—24no—
257(C22⋊D83)⋊C4D418yescomplemented
258#14581750—24no—
259#14581750—42no—
260C2×C4⋊Dic83C2311yescharacteristic
261C2×C4⋊Dic83C2311yescharacteristic
262C2×C4⋊Dic83C2311yescharacteristic
263C2×C4⋊Dic83C2311yescharacteristic
264C2×C4⋊Dic83C2311yescharacteristic
265C2×C4⋊Dic83C2311yescharacteristic
266C2×C4⋊Dic83C2311yescharacteristic
267C2×C4⋊Dic83C2311yescharacteristic
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×Dic83⋊C4C2311yescharacteristic
278C2×Dic83⋊C4C2311yescharacteristic
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×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C2×(C2×D83)⋊C4C2311yescharacteristic
298C2×(C2×D83)⋊C4C2311yescharacteristic
299C2×(C2×D83)⋊C4C2311yescharacteristic
300C2×(C2×D83)⋊C4C2311yescharacteristic
301C2×(C2×D83)⋊C4C2311yescharacteristic
302C2×(C2×D83)⋊C4C2311yescharacteristic
303C2×(C2×D83)⋊C4C2311yescharacteristic
304C2×(C2×D83)⋊C4C2311yescharacteristic
305C2×(C2×D83)⋊C4C2311yescharacteristic
306C2×(C2×D83)⋊C4C2311yescharacteristic
307C2×(C2×D83)⋊C4C2311yescharacteristic
308C2×(C2×D83)⋊C4C2311yescharacteristic
309C2×(C2×D83)⋊C4C2311yescharacteristic
310C2×(C2×D83)⋊C4C2311yescharacteristic
311C2×(C2×D83)⋊C4C2311yescharacteristic
312C2×(C2×D83)⋊C4C2311yescharacteristic
313C2×(C2×D83)⋊C4C2311yescharacteristic
314C2×(C2×D83)⋊C4C2311yescharacteristic
315C2×(C2×D83)⋊C4C2311yescharacteristic
316C2×(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×(C2×D83)⋊C4C2311yescharacteristic
324C22⋊C4×D83—24no—
325C2×C4×Dic83—42no—
326C2×C4×Dic83C2311yescharacteristic
327C2×C4×Dic83C2311yescharacteristic
328C2×C4×Dic83C2311yescharacteristic
329C2×C4×Dic83C2311yescharacteristic
330C2×C4×Dic83C2311yescharacteristic
331C2×C4×Dic83C2311yescharacteristic
332C2×C4×Dic83C2311yescharacteristic
333C2×C4×Dic83C2311yescharacteristic
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
350C83⋊#95C2311yescharacteristic
351C83⋊#95C2311yescharacteristic
352C22×Q8×C83C2311yescharacteristic
353C22×D4×C83C2311yescharacteristic
354C22×D4×C83C2311yescharacteristic
355C22×D4×C83C2311yescharacteristic
356C23×C4×C83C2311yescharacteristic
357C23×C4×C83C2311yescharacteristic
358#124×C83—24no—
359#123×C83—24no—
360C22⋊Q8×C83—42no—
361#121×C83—42no—
362C2×C4⋊C4×C83C2311yescharacteristic
363C2×C4⋊C4×C83C2311yescharacteristic
364C2×C4⋊C4×C83C2311yescharacteristic
365C2×C4⋊C4×C83C2311yescharacteristic
366C2×C4⋊C4×C83C2311yescharacteristic
367C2×C4⋊C4×C83C2311yescharacteristic
368C2×C4⋊C4×C83C2311yescharacteristic
369C2×C4⋊C4×C83C2311yescharacteristic
370C2×C4⋊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
383C2×C22⋊C4×C83C2311yescharacteristic
384C2×C42×C83C2311yescharacteristic
385#95×C83C2311yescharacteristic
386#95×C83C2311yescharacteristic
387#95×C83C2311yescharacteristic
388#95×C83C2311yescharacteristic
389#95×C83C2311yescharacteristic
390#95×C83C2311yescharacteristic
391C23×D83—22no—
392C23×D83—41no—
393C23×D83—41no—
394C23×D83—41no—
395C23×D83—41no—
396C23×D83—41no—
397C23×D83—41no—
398C23×D83C2411yescharacteristic
399C23×D83C2411yescharacteristic
400C23×D83C2411yescharacteristic
401C23×D83C2411yescharacteristic
402C23×D83C2411yescharacteristic
403C2×D332—22no—
404C2×D332—22no—
405C2×D332—22no—
406C2×D332—22no—
407C2×D332—22no—
408C2×D332—22no—
409C2×D332—22no—
410C2×D332—41no—
411C2×D332—41no—
412C2×D332—41no—
413C2×D332—41no—
414C2×D332—41no—
415C2×D332—41no—
416C2×D332—41no—
417C2×D332—41no—
418C2×D332—41no—
419C2×D332—41no—
420C2×D332—41no—
421C2×D332—41no—
422C2×D332—41no—
423C2×D332—41no—
424C2×D332—41no—
425C2×D332—41no—
426C2×D332—41no—
427C2×D332—41no—
428C2×D332—41no—
429C2×D332—41no—
430C2×C22⋊D83—22no—
431C2×C22⋊D83—22no—
432C2×C22⋊D83—22no—
433C2×C22⋊D83—22no—
434C2×C22⋊D83—22no—
435C2×C22⋊D83—22no—
436C2×C22⋊D83—22no—
437C2×C22⋊D83—22no—
438C2×C22⋊D83—22no—
439C2×C22⋊D83—22no—
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⋊D83—41no—
449C2×C22⋊D83—41no—
450C2×C22⋊D83—41no—
451C2×C22⋊D83—41no—
452C2×C22⋊D83—41no—
453C2×C22⋊D83—41no—
454C2×C22⋊D83—41no—
455C2×C22⋊D83—41no—
456C2×C22⋊D83—41no—
457C2×C22⋊D83—41no—
458C2×C22⋊D83—41no—
459C2×C22⋊D83—41no—
460C2×C22⋊D83—41no—
461C2×C22⋊D83—41no—
462C2×C22⋊D83—41no—
463C2×C22⋊D83—41no—
464C2×C22⋊D83—41no—
465C2×C22⋊D83—41no—
466C2×C22⋊D83—41no—
467C2×C22⋊D83—41no—
468C2×C22⋊D83C2×D414yes—
469C22×Dic83—22no—
470C22×Dic83—41no—
471C22×Dic83—41no—
472C22×Dic83—41no—
473C22×Dic83—41no—
474C22×Dic83C2×D414yes—
475C22×Dic83C2411yescharacteristic
476C22×Dic83C2411yescharacteristic
477C22×Dic83C2411yescharacteristic
478C22×Dic83C2411yescharacteristic
479C22×Dic83C2411yescharacteristic
480C22×Dic83C2411yescharacteristic
481C22×Dic83C2411yescharacteristic
482C22×Dic83C2411yescharacteristic
483C22×Dic83C2411yescharacteristic
484C22×Dic83C2411yescharacteristic
485C22×Dic83C2411yescharacteristic
486C2×C4×D83—22no—
487C2×C4×D83—22no—
488C2×C4×D83—22no—
489C2×C4×D83—22no—
490C2×C4×D83—41no—
491C2×C4×D83—41no—
492C2×C4×D83—41no—
493C2×C4×D83—41no—
494C2×C4×D83—41no—
495C2×C4×D83—41no—
496C2×C4×D83—41no—
497C2×C4×D83—41no—
498C2×C4×D83—41no—
499C2×C4×D83—41no—
500C2×C4×D83C2×D414yes—
501C4⋊Dic83—22no—
502C4⋊Dic83—22no—
503C4⋊Dic83—22no—
504C4⋊Dic83—22no—
505C4⋊Dic83—22no—
506C4⋊Dic83—41no—
507C4⋊Dic83—41no—
508C4⋊Dic83—41no—
509Dic83⋊C4—22no—
510Dic83⋊C4—22no—
511Dic83⋊C4—22no—
512Dic83⋊C4—22no—
513Dic83⋊C4—22no—
514Dic83⋊C4—22no—
515Dic83⋊C4—22no—
516Dic83⋊C4—22no—
517Dic83⋊C4—41no—
518Dic83⋊C4—41no—
519Dic83⋊C4C2×D414yes—
520C22⋊Dic83—22no—
521C22⋊Dic83—22no—
522C22⋊Dic83—22no—
523C22⋊Dic83—41no—
524C22⋊Dic83—41no—
525C22⋊Dic83—41no—
526C22⋊Dic83—41no—
527C22⋊Dic83—41no—
528(C2×D83)⋊C4—22no—
529(C2×D83)⋊C4—22no—
530(C2×D83)⋊C4—22no—
531(C2×D83)⋊C4—22no—
532(C2×D83)⋊C4—22no—
533(C2×D83)⋊C4—22no—
534(C2×D83)⋊C4—22no—
535(C2×D83)⋊C4—22no—
536(C2×D83)⋊C4—22no—
537(C2×D83)⋊C4—22no—
538(C2×D83)⋊C4—22no—
539(C2×D83)⋊C4—22no—
540(C2×D83)⋊C4—22no—
541(C2×D83)⋊C4—22no—
542(C2×D83)⋊C4—22no—
543(C2×D83)⋊C4—22no—
544(C2×D83)⋊C4—22no—
545(C2×D83)⋊C4—22no—
546(C2×D83)⋊C4—22no—
547(C2×D83)⋊C4—22no—
548(C2×D83)⋊C4—22no—
549(C2×D83)⋊C4—41no—
550(C2×D83)⋊C4—41no—
551(C2×D83)⋊C4—41no—
552(C2×D83)⋊C4—41no—
553(C2×D83)⋊C4—41no—
554(C2×D83)⋊C4—41no—
555(C2×D83)⋊C4—41no—
556(C2×D83)⋊C4—41no—
557(C2×D83)⋊C4—41no—
558(C2×D83)⋊C4—41no—
559(C2×D83)⋊C4—41no—
560(C2×D83)⋊C4—41no—
561(C2×D83)⋊C4—41no—
562(C2×D83)⋊C4—41no—
563(C2×D83)⋊C4—41no—
564(C2×D83)⋊C4C2×D414yes—
565C4×Dic83—22no—
566C4×Dic83—22no—
567C4×Dic83—22no—
568C4×Dic83—41no—
569C4×Dic83—41no—
570C4×Dic83—41no—
571C4×Dic83—41no—
572C4×Dic83C2×D414yes—
573C24×C83C2411yescharacteristic
574C24×C83C2411yescharacteristic
575C24×C83C2411yescharacteristic
576C2×Q8×C83—22no—
577C2×Q8×C83—41no—
578C2×Q8×C83—41no—
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—
588C22×C4×C83—22no—
589C22×C4×C83—22no—
590C22×C4×C83—22no—
591C22×C4×C83—41no—
592C22×C4×C83—41no—
593C22×C4×C83—41no—
594C22×C4×C83C2411yescharacteristic
595C22×C4×C83C2411yescharacteristic
596C22×C4×C83C2411yescharacteristic
597C22×C4×C83C2411yescharacteristic
598C22×C4×C83C2411yescharacteristic
599C22×C4×C83C2411yescharacteristic
600C22×C4×C83C2411yescharacteristic
601C22×C4×C83C2411yescharacteristic
602C22×C4×C83C2411yescharacteristic
603C22×C4×C83C2411yescharacteristic
604C22×C4×C83C2411yescharacteristic
605C22×C4×C83C2411yescharacteristic
606C4⋊C4×C83—22no—
607C4⋊C4×C83—22no—
608C4⋊C4×C83—22no—
609C4⋊C4×C83—22no—
610C4⋊C4×C83—22no—
611C4⋊C4×C83—41no—
612C4⋊C4×C83—41no—
613C4⋊C4×C83—41no—
614C4⋊C4×C83—41no—
615C22⋊C4×C83—22no—
616C22⋊C4×C83—22no—
617C22⋊C4×C83—22no—
618C22⋊C4×C83—22no—
619C22⋊C4×C83—22no—
620C22⋊C4×C83—22no—
621C22⋊C4×C83—22no—
622C22⋊C4×C83—41no—
623C22⋊C4×C83—41no—
624C22⋊C4×C83—41no—
625C22⋊C4×C83—41no—
626C22⋊C4×C83—41no—
627C22⋊C4×C83C2×D414yes—
628C42×C83—22no—
629C23×C83—21no—
630C23×C83—21no—
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×C83C22×D412yes—
650C23×C83C2511yescharacteristic
651C22×D83—21no—
652C22×D83—21no—
653C22×D83—21no—
654C22×D83—21no—
655C22×D83—21no—
656C22×D83—21no—
657C22×D83—21no—
658C22×D83—21no—
659C22×D83—21no—
660C22×D83—21no—
661C22×D83—21no—
662C22×D83—21no—
663C22×D83—21no—
664C22×D83—21no—
665C22×D83—21no—
666C22×D83—21no—
667C22×D83—21no—
668C22×D83—21no—
669C22×D83—21no—
670C22×D83—21no—
671C22×D83—21no—
672C22×D83—21no—
673C22×D83—21no—
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—44no—
686C22×D83—82no—
687C22×D83—82no—
688C22×D83—82no—
689C22×D83—82no—
690C22×D83—82no—
691C22×D83—82no—
692C22×D83C22×D412yes—
693Q8×C83—82no—
694D4×C83—82no—
695D4×C83—82no—
696D4×C83—82no—
697C2×C4×C83—21no—
698C2×C4×C83—21no—
699C2×C4×C83—21no—
700C2×C4×C83—21no—
701C2×C4×C83—21no—
702C2×C4×C83—21no—
703C2×C4×C83—21no—
704C2×C4×C83—21no—
705C2×C4×C83—21no—
706C2×C4×C83—21no—
707C2×C4×C83—21no—
708C2×C4×C83—21no—
709C2×C4×C83—21no—
710C2×C4×C83—21no—
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—44no—
730C2×C4×C83—82no—
731C2×C4×C83C22×D412yes—
732C2×C4×C83C22×D412yes—
733C2×C4×C83H(5,𝔽2)12yes—
734C2×C4×C83H(5,𝔽2)12yes—
735C22⋊D83—44no—
736C22⋊D83—44no—
737C22⋊D83—82no—
738C22⋊D83—82no—
739C22⋊D83—82no—
740C22⋊D83—82no—
741C22⋊D83—82no—
742C22⋊D83—82no—
743C22⋊D83—82no—
744C22⋊D83—82no—
745C22⋊D83—82no—
746C22⋊D83—82no—
747C22⋊D83—82no—
748C2×Dic83—21no—
749C2×Dic83—21no—
750C2×Dic83—21no—
751C2×Dic83—21no—
752C2×Dic83—21no—
753C2×Dic83—21no—
754C2×Dic83—21no—
755C2×Dic83—21no—
756C2×Dic83—21no—
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—44no—
778C2×Dic83—44no—
779C2×Dic83C22×D412yes—
780C2×Dic83C22×D412yes—
781C2×Dic83C22×D412yes—
782C2×Dic83H(5,𝔽2)12yes—
783D332—44no—
784D332—82no—
785D332—82no—
786D332—82no—
787D332—82no—
788D332—82no—
789D332—82no—
790D332—82no—
791D332—82no—
792C4×D83—44no—
793C4×D83—44no—
794C4×D83—82no—
795C4×D83—82no—
796C4×D83—82no—
797C22×C83—22no—
798C22×C83—22no—
799C22×C83—22no—
800C22×C83—41no—
801C22×C83—41no—
802C22×C83—41no—
803C22×C83—41no—
804C22×C83—41no—
805C22×C83—41no—
806C22×C83—41no—
807C22×C83—41no—
808C22×C83—41no—
809C22×C83—41no—
810C22×C83—41no—
811C22×C83—41no—
812C22×C83—41no—
813C22×C83—41no—
814C22×C83—41no—
815C22×C83—41no—
816C22×C83—41no—
817C22×C83—41no—
818C22×C83C23×D411yescharacteristic
819C22×C83C2×H(5,𝔽2)11yescharacteristic
820C22×C83C2×H(5,𝔽2)11yescharacteristic
821C22×C83C2×H(5,𝔽2)11yescharacteristic
822C22×C83#58511yescharacteristic
823C22×C83#58511yescharacteristic
824C22×C83#58511yescharacteristic
825C2×D83—22no—
826C2×D83—22no—
827C2×D83—22no—
828C2×D83—41no—
829C2×D83—41no—
830C2×D83—41no—
831C2×D83—41no—
832C2×D83—41no—
833C2×D83—41no—
834C2×D83—41no—
835C2×D83—41no—
836C2×D83—41no—
837C2×D83—41no—
838C2×D83—41no—
839C2×D83—41no—
840C2×D83—41no—
841C2×D83—41no—
842C2×D83—41no—
843C2×D83—41no—
844C2×D83—41no—
845C2×D83—41no—
846C2×D83—41no—
847C2×D83—41no—
848C2×D83—41no—
849C2×D83—41no—
850C2×D83—41no—
851C2×D83—41no—
852C2×D83—41no—
853C2×D83—41no—
854C2×D83—41no—
855C2×D83—41no—
856C2×D83—41no—
857C2×D83—41no—
858C2×D83—41no—
859C2×D83—41no—
860C2×D83—88no—
861C4×C83—22no—
862C4×C83—22no—
863C4×C83—22no—
864C4×C83—22no—
865C4×C83—41no—
866C4×C83—41no—
867C4×C83—41no—
868C4×C83—41no—
869C4×C83—41no—
870C4×C83—41no—
871C4×C83—41no—
872C4×C83—41no—
873Dic83—22no—
874Dic83—22no—
875Dic83—22no—
876Dic83—22no—
877Dic83—41no—
878Dic83—41no—
879Dic83—41no—
880Dic83—41no—
881Dic83—41no—
882Dic83—41no—
883Dic83—41no—
884#36744—831nomaximal, Sylow
885C2×C83—42no—
886C2×C83—81no—
887C2×C83—81no—
888C2×C83#344911yescharacteristic
889C2×C83#349611yescharacteristic
890C2×C83#349811yescharacteristic
891C2×C83#353411yescharacteristic
892C2×C83#354211yescharacteristic
893C2×C83#355111yescharacteristic
894C2×C83#356211yescharacteristic
895D83—42no—
896D83—81no—
897D83—81no—
898D83—81no—
899D83—81no—
900C2×#540—831no—
901C2×#538—831no—
902#2856—831no—
903#2854—831no—
904#2721—831no—
905#2714—831no—
906#2694—831no—
907#2681—831no—
908#2680—831no—
909#2678—831no—
910#2676—831no—
911#2675—831no—
912#2673—831no—
913#2673—831no—
914#2672D8311yescharacteristic, complemented
915#2671—831no—
916#2671—831no—
917#2669—831no—
918#2669—831no—
919#2668—831no—
920#2661—831no—
921#2661—831no—
922#2610—831no—
923#2603—831no—
924#2602—831no—
925#2601—831no—
926#2540—831no—
927#2539—831no—
928#2414—831no—
929#2411—831no—
930#2290—831no—
931C83#3674411yescharacteristic, complemented, Sylow
932#540—1668no—
933#538—1668no—
934C2×#127—831no—
935C2×#127—831no—
936C2×#126—831no—
937C2×#126—831no—
938C2×#125—831no—
939C2×#124—831no—
940C2×#124C2×D8311yescharacteristic
941C2×#123—831no—
942C2×#123—831no—
943C2×#123—831no—
944C2×#123—831no—
945C2×#123—831no—
946C2×#123—831no—
947C2×#123—831no—
948C2×#123C2×D8311yescharacteristic, complemented
949C2×C22⋊Q8—831no—
950C2×C22⋊Q8—831no—
951C2×C22⋊Q8C2×D8311yescharacteristic, complemented
952C2×#121—831no—
953C2×#121—831no—
954C2×#121—831no—
955C2×#121—831no—
956C2×#121—831no—
957C2×#121—831no—
958C2×#121—831no—
959C2×#121—831no—
960C2×#121—831no—
961C2×#121—831no—
962C2×#121—831no—
963C2×#121—831no—
964C2×#121—831no—
965C2×#121—831no—
966C2×#121—831no—
967C2×#121—831no—
968C2×#121C2×D8311yescharacteristic
969C2×#120—831no—
970C2×#120—831no—
971C2×#120—831no—
972C2×#120—831no—
973C2×#120—831no—
974C2×C4×D4—831no—
975C2×C4×D4—831no—
976C2×C4×D4—831no—
977C2×#117—831no—
978C2×#117—831no—
979C22×C22⋊C4—831no—
980C22×C42—831no—
981#399—831no—
982#399—831no—
983#399—831no—
984#399C2×D8311yescharacteristic
985#398—831no—
986#398—831no—
987#398—831no—
988#398—831no—
989#397—831no—
990#397—831no—
991#397—831no—
992#397—831no—
993#396—831no—
994#396—831no—
995#396—831no—
996#396C2×D8311yescharacteristic
997#395C2×D8311yescharacteristic, complemented
998#394—831no—
999#394—831no—
1000#394—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#394C2×D8311yescharacteristic
1011#394C2×D8311yescharacteristic
1012#394C2×D8311yescharacteristic, complemented
1013#393—831no—
1014#392—831no—
1015#392—831no—
1016#392—831no—
1017#392—831no—
1018#392—831no—
1019#392—831no—
1020#392—831no—
1021#392—831no—
1022#392—831no—
1023#392—831no—
1024#392—831no—
1025#392—831no—
1026#392—831no—
1027#392—831no—
1028#392—831no—
1029#390—831no—
1030#390—831no—
1031#390—831no—
1032#390—831no—
1033#390—831no—
1034#390—831no—
1035#390—831no—
1036#390—831no—
1037#390—831no—
1038#390—831no—
1039#390—831no—
1040#390—831no—
1041#390—831no—
1042#389—831no—
1043#389—831no—
1044#389C2×D8311yescharacteristic, complemented
1045#388—831no—
1046#388—831no—
1047#388—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#388C2×D8311yescharacteristic, complemented
1059#387—831no—
1060#387—831no—
1061#387—831no—
1062#387—831no—
1063#386—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#386C2×D8311yescharacteristic
1074#385—831no—
1075#385—831no—
1076#385—831no—
1077#385—831no—
1078#385—831no—
1079#385—831no—
1080#385C2×D8311yescharacteristic, complemented
1081#384—831no—
1082#380—831no—
1083#380C2×D8311yescharacteristic, complemented
1084#379—831no—
1085C4×C4⋊C4—831no—
1086C4×C22⋊C4—831no—
1087C4×C22⋊C4—831no—
1088#376—831no—
1089C25—831no—
1090C22×Q8C22×D8311yescharacteristic
1091C22×D4—831no—
1092C22×D4—831no—
1093C22×D4—831no—
1094C22×D4—831no—
1095C22×D4—831no—
1096C22×D4—831no—
1097C22×D4—831no—
1098C22×D4—831no—
1099C22×D4—831no—
1100C22×D4—831no—
1101C22×D4—831no—
1102C22×D4—831no—
1103C22×D4—831no—
1104C22×D4—831no—
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×D4C22×D8311yescharacteristic
1114C22×D4C22×D8311yescharacteristic
1115C22×D4C22×D8311yescharacteristic
1116C23×C4—831no—
1117C23×C4—831no—
1118C23×C4—831no—
1119C23×C4—831no—
1120C23×C4—831no—
1121C23×C4—831no—
1122C23×C4—831no—
1123C23×C4C22×D8311yescharacteristic
1124C23×C4C22×D8311yescharacteristic
1125#127—3322no—
1126#127—1664no—
1127#126—1664no—
1128#126—1664no—
1129#125—1664no—
1130#124—24no—
1131#124—1664no—
1132#123—24no—
1133#123—3322no—
1134#123—3322no—
1135#123—1664no—
1136#123—1664no—
1137#123—1664no—
1138#123—1664no—
1139#123—1664no—
1140C22⋊Q8—42no—
1141C22⋊Q8—3322no—
1142C22⋊Q8—1664no—
1143#121—42no—
1144#121—3322no—
1145#121—3322no—
1146#121—3322no—
1147#121—3322no—
1148#121—3322no—
1149#121—3322no—
1150#121—3322no—
1151#121—1664no—
1152#121—1664no—
1153#121—1664no—
1154#121—1664no—
1155#121—1664no—
1156#121—1664no—
1157#121—1664no—
1158#121—1664no—
1159#121—1664no—
1160#120—3322no—
1161#120—3322no—
1162#120—3322no—
1163#120—1664no—
1164#120—1664no—
1165C4×D4—838no—
1166C4×D4—1664no—
1167C4×D4—1664no—
1168#117—3322no—
1169#117—1664no—
1170C2×C4⋊C4—831no—
1171C2×C4⋊C4—831no—
1172C2×C4⋊C4—831no—
1173C2×C4⋊C4—831no—
1174C2×C4⋊C4—831no—
1175C2×C4⋊C4—831no—
1176C2×C4⋊C4—831no—
1177C2×C4⋊C4—831no—
1178C2×C4⋊C4—831no—
1179C2×C4⋊C4—831no—
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⋊C4C22×D8311yescharacteristic
1190C2×C4⋊C4C22×D8311yescharacteristic
1191C2×C4⋊C4C22×D8311yescharacteristic
1192C2×C4⋊C4C22×D8311yescharacteristic
1193C2×C4⋊C4C22×D8311yescharacteristic
1194C2×C4⋊C4C22×D8311yescharacteristic
1195C2×C4⋊C4C22×D8311yescharacteristic
1196C2×C4⋊C4C22×D8311yescharacteristic
1197C2×C4⋊C4C22×D8311yescharacteristic
1198C2×C22⋊C4—831no—
1199C2×C22⋊C4—831no—
1200C2×C22⋊C4—831no—
1201C2×C22⋊C4—831no—
1202C2×C22⋊C4—831no—
1203C2×C22⋊C4—831no—
1204C2×C22⋊C4—831no—
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—1664no—
1244C2×C22⋊C4C22×D8311yescharacteristic
1245C2×C22⋊C4C22×D8311yescharacteristic
1246C2×C22⋊C4C22×D8311yescharacteristic
1247C2×C22⋊C4C22×D8311yescharacteristic
1248C2×C22⋊C4C22×D8311yescharacteristic
1249C2×C22⋊C4C22×D8311yescharacteristic
1250C2×C22⋊C4C22×D8311yescharacteristic
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×C42—3322no—
1258C2×C42—831no—
1259C2×C42—831no—
1260C2×C42—831no—
1261C2×C42—831no—
1262C2×C42—831no—
1263C2×C42—831no—
1264C2×C42—831no—
1265C2×C42—831no—
1266C2×C42C22×D8311yescharacteristic
1267#95—831no—
1268#95—831no—
1269#95—831no—
1270#95—831no—
1271#95—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#95C22×D8311yescharacteristic
1286#95C22×D8311yescharacteristic
1287#95C22×D8311yescharacteristic
1288#95C22×D8311yescharacteristic
1289#95C22×D8311yescharacteristic
1290#95C22×D8311yescharacteristic
1291C24—3321no—
1292C24—3321no—
1293C24—3321no—
1294C24—3321no—
1295C24—3321no—
1296C24—3321no—
1297C24—831no—
1298C24—831no—
1299C24—831no—
1300C24—831no—
1301C24—831no—
1302C24—1662no—
1303C24C23×D8311yescharacteristic
1304C24C23×D8311yescharacteristic
1305C24C23×D8311yescharacteristic
1306C2×Q8—22no—
1307C2×Q8—41no—
1308C2×Q8—41no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—3321no—
1319C2×D4—3321no—
1320C2×D4—3321no—
1321C2×D4—3321no—
1322C2×D4—3321no—
1323C2×D4—3321no—
1324C2×D4—3321no—
1325C2×D4—3321no—
1326C2×D4—3321no—
1327C2×D4—3321no—
1328C2×D4—3321no—
1329C2×D4—3321no—
1330C2×D4—3321no—
1331C2×D4—3321no—
1332C2×D4—3321no—
1333C2×D4—3321no—
1334C2×D4—3321no—
1335C2×D4—3321no—
1336C2×D4—3321no—
1337C2×D4—3321no—
1338C2×D4—3321no—
1339C2×D4—3321no—
1340C2×D4—3321no—
1341C2×D4—3321no—
1342C2×D4—3321no—
1343C2×D4—3321no—
1344C2×D4—3321no—
1345C2×D4—3321no—
1346C2×D4—3321no—
1347C2×D4—3321no—
1348C2×D4—3321no—
1349C2×D4—3321no—
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—834no—
1367C2×D4—1662no—
1368C2×D4—1662no—
1369C2×D4—1662no—
1370C2×D4—1662no—
1371C2×D4—1662no—
1372C2×D4—1662no—
1373C2×D4—1662no—
1374C2×D4—1662no—
1375C2×D4—1662no—
1376C2×D4—1662no—
1377C2×D4—1662no—
1378C2×D4—1662no—
1379C2×D4—1662no—
1380C2×D4—1662no—
1381C2×D4—1662no—
1382C2×D4—1662no—
1383C2×D4—1662no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
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—834no—
1405C22×C4—834no—
1406C22×C4—831no—
1407C22×C4—831no—
1408C22×C4—831no—
1409C22×C4—831no—
1410C22×C4—831no—
1411C22×C4—831no—
1412C22×C4—831no—
1413C22×C4—831no—
1414C22×C4—831no—
1415C22×C4—831no—
1416C22×C4—831no—
1417C22×C4—1662no—
1418C22×C4—1662no—
1419C22×C4—1662no—
1420C22×C4—1662no—
1421C22×C4—1662no—
1422C22×C4C23×D8311yescharacteristic
1423C22×C4C23×D8311yescharacteristic
1424C22×C4C23×D8311yescharacteristic
1425C22×C4C23×D8311yescharacteristic
1426C22×C4C23×D8311yescharacteristic
1427C22×C4C23×D8311yescharacteristic
1428C22×C4C23×D8311yescharacteristic
1429C22×C4C23×D8311yescharacteristic
1430C22×C4C23×D8311yescharacteristic
1431C22×C4C23×D8311yescharacteristic
1432C22×C4C23×D8311yescharacteristic
1433C22×C4C23×D8311yescharacteristic
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—41no—
1440C4⋊C4—41no—
1441C4⋊C4—41no—
1442C4⋊C4—41no—
1443C4⋊C4—3321no—
1444C4⋊C4—3321no—
1445C4⋊C4—3321no—
1446C4⋊C4—3321no—
1447C4⋊C4—3321no—
1448C4⋊C4—834no—
1449C4⋊C4—1662no—
1450C4⋊C4—1662no—
1451C4⋊C4—1662no—
1452C4⋊C4—1662no—
1453C4⋊C4—1662no—
1454C4⋊C4—1662no—
1455C4⋊C4—1662no—
1456C4⋊C4—1662no—
1457C4⋊C4—1662no—
1458C4⋊C4—1662no—
1459C4⋊C4—1662no—
1460C4⋊C4—1662no—
1461C4⋊C4—1662no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—3321no—
1475C22⋊C4—3321no—
1476C22⋊C4—3321no—
1477C22⋊C4—3321no—
1478C22⋊C4—3321no—
1479C22⋊C4—3321no—
1480C22⋊C4—3321no—
1481C22⋊C4—3321no—
1482C22⋊C4—3321no—
1483C22⋊C4—3321no—
1484C22⋊C4—3321no—
1485C22⋊C4—3321no—
1486C22⋊C4—3321no—
1487C22⋊C4—3321no—
1488C22⋊C4—3321no—
1489C22⋊C4—3321no—
1490C22⋊C4—3321no—
1491C22⋊C4—3321no—
1492C22⋊C4—3321no—
1493C22⋊C4—3321no—
1494C22⋊C4—834no—
1495C22⋊C4—1662no—
1496C22⋊C4—1662no—
1497C22⋊C4—1662no—
1498C22⋊C4—1662no—
1499C22⋊C4—1662no—
1500C22⋊C4—1662no—
1501C22⋊C4—1662no—
1502C22⋊C4—1662no—
1503C22⋊C4—1662no—
1504C22⋊C4—1662no—
1505C22⋊C4—1662no—
1506C22⋊C4—1662no—
1507C22⋊C4—1662no—
1508C22⋊C4—1662no—
1509C22⋊C4—1662no—
1510C22⋊C4—1662no—
1511C22⋊C4—1662no—
1512C22⋊C4—1662no—
1513C22⋊C4—1662no—
1514C22⋊C4—1662no—
1515C22⋊C4—1662no—
1516C22⋊C4—1662no—
1517C22⋊C4—1662no—
1518C22⋊C4—1662no—
1519C22⋊C4D4×D8314yes—
1520C42—22no—
1521C42—3321no—
1522C42—3321no—
1523C42—3321no—
1524C42—3321no—
1525C42—834no—
1526C42—1662no—
1527C42—1662no—
1528C42—1662no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—3324no—
1550C23—832no—
1551C23—6642no—
1552C23—6642no—
1553C23—6642no—
1554C23—6642no—
1555C23—6642no—
1556C23—6642no—
1557C23—1661no—
1558C23—1661no—
1559C23—1661no—
1560C23—1661no—
1561C23—1661no—
1562C23—1661no—
1563C23—1661no—
1564C23—1661no—
1565C23—1661no—
1566C23—1661no—
1567C23—1661no—
1568C23—1661no—
1569C23—1661no—
1570C23—1661no—
1571C23—1661no—
1572C23—1661no—
1573C23—1661no—
1574C23—1661no—
1575C23—1661no—
1576C23—1661no—
1577C23—1661no—
1578C23—1661no—
1579C23—1661no—
1580C23—1661no—
1581C23—1661no—
1582C23—1661no—
1583C23—1661no—
1584C23—1661no—
1585C23—1661no—
1586C23—1661no—
1587C23—1661no—
1588C23—1661no—
1589C23—1661no—
1590C23—1661no—
1591C23C2×D4×D8312yes—
1592C23C24×D8311yescharacteristic
1593Q8—82no—
1594D4—82no—
1595D4—82no—
1596D4—82no—
1597D4—3324no—
1598D4—3324no—
1599D4—3324no—
1600D4—6642no—
1601D4—6642no—
1602D4—6642no—
1603D4—6642no—
1604D4—6642no—
1605D4—6642no—
1606D4—6642no—
1607D4—6642no—
1608D4—6642no—
1609D4—6642no—
1610D4—6642no—
1611D4—6642no—
1612D4—6642no—
1613D4—6642no—
1614D4—6642no—
1615D4—6642no—
1616D4—6642no—
1617D4—6642no—
1618D4—6642no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
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—44no—
1652C2×C4—82no—
1653C2×C4—3324no—
1654C2×C4—3324no—
1655C2×C4—3324no—
1656C2×C4—3324no—
1657C2×C4—832no—
1658C2×C4—832no—
1659C2×C4—832no—
1660C2×C4—832no—
1661C2×C4—6642no—
1662C2×C4—6642no—
1663C2×C4—6642no—
1664C2×C4—1661no—
1665C2×C4—1661no—
1666C2×C4—1661no—
1667C2×C4—1661no—
1668C2×C4—1661no—
1669C2×C4—1661no—
1670C2×C4—1661no—
1671C2×C4—1661no—
1672C2×C4—1661no—
1673C2×C4—1661no—
1674C2×C4—1661no—
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×C4C2×D4×D8312yes—
1694C2×C4C2×D4×D8312yes—
1695C2×C4#1458183712yes—
1696C2×C4#1458183812yes—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—3321no—
1719C22—3321no—
1720C22—3321no—
1721C22—3321no—
1722C22—3321no—
1723C22—3321no—
1724C22—3321no—
1725C22—3321no—
1726C22—3321no—
1727C22—3321no—
1728C22—3321no—
1729C22—3321no—
1730C22—3321no—
1731C22—3321no—
1732C22—3321no—
1733C22—3321no—
1734C22—3321no—
1735C22—3321no—
1736C22—3321no—
1737C22—3321no—
1738C22—3321no—
1739C22—3321no—
1740C22—3321no—
1741C22—3321no—
1742C22—3321no—
1743C22—3321no—
1744C22—3321no—
1745C22—3321no—
1746C22—3321no—
1747C22—3321no—
1748C22—3321no—
1749C22—3321no—
1750C22—6648no—
1751C22—1662no—
1752C22—1662no—
1753C22—1662no—
1754C22C22×D4×D8311yescharacteristic
1755C22H(5,𝔽2)×D8311yescharacteristic
1756C22C2×#1458183711yescharacteristic
1757C22C2×#1458183811yescharacteristic
1758C22#1912853611yescharacteristic
1759C22#1912853811yescharacteristic
1760C22#1912853811yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—3321no—
1774C4—3321no—
1775C4—3321no—
1776C4—3321no—
1777C4—3321no—
1778C4—3321no—
1779C4—3321no—
1780C4—1662no—
1781C4—1662no—
1782C4—1662no—
1783C4—1662no—
1784C2—42no—
1785C2—81no—
1786C2—81no—
1787C2—3322no—
1788C2—6641no—
1789C2—6641no—
1790C2—6641no—
1791C2—6641no—
1792C2#2492079111yescharacteristic
1793C2#2492122111yescharacteristic
1794C2#2492123511yescharacteristic
1795C2#2492164911yescharacteristic
1796C2#2492177511yescharacteristic
1797C2#2492189211yescharacteristic
1798C2#2492204811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2672C2
hypercenter#2672D83
hypocenterC83#36744
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
1. C2×#19128303C2semidirect
2. C2×#19128285C2semidirect
3. #24915806C2semidirect
4. #24915795C2semidirect
5. #24914358C2semidirect
6. #24914263C2semidirect
7. #24913985C2semidirect
8. #24913818C2semidirect
9. #24913807C2semidirect
10. #24913793C2semidirect
11. #24913759C2semidirect
12. #24913754C2semidirect
13. #24913736C2semidirect
14. #24913722C2semidirect
15. #24913699C2semidirect
16. #24913696C2semidirect
17. #24913681C2semidirect
18. #24913675C2semidirect
19. #24913670C2semidirect
20. #24913590C2semidirect
21. #24913590C2semidirect
22. #24913145C2semidirect
23. #24913087C2semidirect
24. #24913081C2semidirect
25. #24913063C2semidirect
26. #24912401C2semidirect
27. #24912390C2semidirect
28. #24910879C2semidirect
29. #24910841C2semidirect
30. #24909899C2semidirect
31. C83×#2672C2semidirect
38. C2×#14581782C22semidirect
44. C2×#14581776C22semidirect
48. C2×#14581768C22semidirect
51. C2×#14581767C22semidirect
55. C2×#14581766C22semidirect
59. C2×#14581765C22semidirect
60. C2×#14581765C22semidirect
63. C2×#14581764C22semidirect
64. C2×#14581764C22semidirect
71. C2×C4×C22⋊D83C22semidirect
74. C2×#14581750C22semidirect
76. C22×C4×Dic83C22semidirect
79. #19127636C22semidirect
80. #19127635C22semidirect
81. #19127634C22semidirect
82. #19127634C22semidirect
83. #19127634C22semidirect
86. #19127630C22semidirect
90. #19127623C22semidirect
99. #19127617C22semidirect
100. #19127616C22semidirect
101. #19127616C22semidirect
102. #19127616C22semidirect
103. #19127612C22semidirect
114. #19127610C22semidirect
115. #19127610C22semidirect
120. #19127603C22semidirect
124. #19127602C22semidirect
125. #19127602C22semidirect
130. #19127601C22semidirect
131. #19127601C22semidirect
132. #19127600C22semidirect
133. #19127600C22semidirect
136. #19127594C22semidirect
140. #19127593C22semidirect
141. #19127593C22semidirect
142. #19127593C22semidirect
143. #19127593C22semidirect
146. #19127591C22semidirect
147. #19127588C22semidirect
148. #19127585C22semidirect
149. #19127583C22semidirect
150. #19127582C22semidirect
153. #19127579C22semidirect
156. #19127578C22semidirect
160. #19127577C22semidirect
161. #19127576C22semidirect
163. #19127575C22semidirect
164. #19127575C22semidirect
165. #19127574C22semidirect
166. #19127572C22semidirect
167. #19127570C22semidirect
168. #19127558C22semidirect
170. C4⋊C4×Dic83C22semidirect
171. C22⋊C4×Dic83C22semidirect
173. #19127546C22semidirect
175. C2×#123×C83C22semidirect
176. C2×C22⋊Q8×C83C22semidirect
180. #395×C83C22semidirect
183. #394×C83C22semidirect
184. #389×C83C22semidirect
185. #388×C83C22semidirect
187. #385×C83C22semidirect
188. #380×C83C22semidirect
257. (C22⋊D83)⋊C4D4semidirect
914. #2672D83semidirect
931. C83#36744semidirect
948. C2×#123C2×D83semidirect
951. C2×C22⋊Q8C2×D83semidirect
997. #395C2×D83semidirect
1012. #394C2×D83semidirect
1044. #389C2×D83semidirect
1058. #388C2×D83semidirect
1080. #385C2×D83semidirect
1083. #380C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283032
C2×#191282852
#249158062
#249157952
#249143582
#249142632
#249139852
#249138182
#249138072
#249137932
#249137592
#249137542
#249137362
#249137222
#249136992
#249136962
#249136812
#249136752
#249136702
#249135902
#249131452
#249130872
#249130812
#249130632
#249124012
#249123902
#249108792
#249108412
#249098992
C83×#26722
#3674483