Finite Group Databasebeta

← #35611485

Subgroups — #35611485

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×#19128210C211yesmaximal, characteristic, complemented
3#24915754C211yesmaximal, characteristic, complemented
4#24915744C211yesmaximal, characteristic, complemented
5#24914141C211yesmaximal, characteristic, complemented
6#24914096C211yesmaximal, characteristic, complemented
7#24914066C211yesmaximal, characteristic, complemented
8#24914050C211yesmaximal, characteristic, complemented
9#24913884C211yesmaximal, characteristic, complemented
10#24913823C211yesmaximal, characteristic, complemented
11#24913820C211yesmaximal, characteristic, complemented
12#24913814C211yesmaximal, characteristic, complemented
13#24913797C211yesmaximal, characteristic, complemented
14#24913792C211yesmaximal, characteristic, complemented
15#24913792C211yesmaximal, characteristic, complemented
16#24913782C211yesmaximal, characteristic, complemented
17#24913714C211yesmaximal, characteristic, complemented
18#24913691C211yesmaximal, characteristic, complemented
19#24913680C211yesmaximal, characteristic, complemented
20#24913679C211yesmaximal, characteristic, complemented
21#24913354C211yesmaximal, characteristic, complemented
22#24913310C211yesmaximal, characteristic, complemented
23#24913148C211yesmaximal, characteristic, complemented
24#24913087C211yesmaximal, characteristic, complemented
25#24913066C211yesmaximal, characteristic, complemented
26#24913045C211yesmaximal, characteristic, complemented
27#24912432C211yesmaximal, characteristic, complemented
28#24910809C211yesmaximal, characteristic, complemented
29#24910782C211yesmaximal, characteristic, complemented
30#24910105C211yesmaximal, characteristic, complemented
31C83×#2534C211yesmaximal, characteristic, complemented
32C22×#13050590C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic, complemented
34#19128289—28no—
35C2×#14581788C2211yescharacteristic
36C2×#14581785C2211yescharacteristic, complemented
37C2×#14581785C2211yescharacteristic, complemented
38C2×#14581778C2211yescharacteristic
39C2×#14581778C2211yescharacteristic, complemented
40C2×#14581778C2211yescharacteristic, complemented
41#19128210—28no—
42C2×#14581777C2211yescharacteristic, complemented
43C2×#14581774C2211yescharacteristic
44C2×#14581774C2211yescharacteristic
45C2×#14581774C2211yescharacteristic
46C2×#14581774C2211yescharacteristic, complemented
47C2×#14581772C2211yescharacteristic, complemented
48C2×#14581771C2211yescharacteristic, complemented
49C2×#14581770C2211yescharacteristic, complemented
50C2×#14581769C2211yescharacteristic, complemented
51C2×#14581767C2211yescharacteristic, complemented
52C2×#14581766C2211yescharacteristic
53C2×#14581765C2211yescharacteristic
54C2×#14581765C2211yescharacteristic
55C2×#14581765C2211yescharacteristic
56C2×#14581765C2211yescharacteristic
57C2×#14581764C2211yescharacteristic
58C2×#14581764C2211yescharacteristic
59C2×#14581762C2211yescharacteristic, complemented
60C2×#14581762C2211yescharacteristic, complemented
61C2×#14581761C2211yescharacteristic
62C2×#14581761C2211yescharacteristic
63C2×#14581761C2211yescharacteristic, complemented
64C2×#14581761C2211yescharacteristic, complemented
65C2×#14581760C2211yescharacteristic
66C2×#14581760C2211yescharacteristic
67C2×#14581760C2211yescharacteristic
68C2×C4×D332C2211yescharacteristic, complemented
69C2×C4×C22⋊D83C2211yescharacteristic
70C2×C4×C22⋊D83C2211yescharacteristic, complemented
71C2×C4×C22⋊D83C2211yescharacteristic, complemented
72C2×#14581749C2211yescharacteristic, complemented
73#19127643C2211yescharacteristic, complemented
74#19127636C2211yescharacteristic, complemented
75#19127635C2211yescharacteristic, complemented
76#19127635C2211yescharacteristic, complemented
77#19127633C2211yescharacteristic, complemented
78#19127629C2211yescharacteristic, complemented
79#19127629C2211yescharacteristic, complemented
80#19127627C2211yescharacteristic, complemented
81#19127624C2211yescharacteristic, complemented
82#19127624C2211yescharacteristic, complemented
83#19127623C2211yescharacteristic, complemented
84#19127623C2211yescharacteristic, complemented
85#19127621C2211yescharacteristic, complemented
86#19127619C2211yescharacteristic, complemented
87#19127619C2211yescharacteristic, complemented
88#19127618C2211yescharacteristic, complemented
89#19127617C2211yescharacteristic
90#19127617C2211yescharacteristic
91#19127617C2211yescharacteristic, complemented
92#19127617C2211yescharacteristic, complemented
93#19127616C2211yescharacteristic
94#19127616C2211yescharacteristic
95#19127616C2211yescharacteristic, complemented
96#19127616C2211yescharacteristic, complemented
97#19127616C2211yescharacteristic, complemented
98#19127616C2211yescharacteristic, complemented
99#19127616C2211yescharacteristic, complemented
100#19127616C2211yescharacteristic, complemented
101#19127615C2211yescharacteristic
102#19127615C2211yescharacteristic
103#19127614C2211yescharacteristic, complemented
104#19127613C2211yescharacteristic, complemented
105#19127613C2211yescharacteristic, complemented
106#19127611C2211yescharacteristic, complemented
107#19127610C2211yescharacteristic
108#19127610C2211yescharacteristic
109#19127610C2211yescharacteristic
110#19127610C2211yescharacteristic
111#19127610C2211yescharacteristic
112#19127610C2211yescharacteristic
113#19127610C2211yescharacteristic, complemented
114#19127610C2211yescharacteristic, complemented
115#19127609C2211yescharacteristic
116#19127609C2211yescharacteristic
117#19127606C2211yescharacteristic, complemented
118#19127605C2211yescharacteristic, complemented
119#19127604C2211yescharacteristic
120#19127602C2211yescharacteristic, complemented
121#19127602C2211yescharacteristic, complemented
122#19127601C2211yescharacteristic
123#19127601C2211yescharacteristic
124#19127601C2211yescharacteristic
125#19127601C2211yescharacteristic
126#19127601C2211yescharacteristic, complemented
127#19127601C2211yescharacteristic, complemented
128#19127597C2211yescharacteristic, complemented
129#19127596C2211yescharacteristic, complemented
130#19127596C2211yescharacteristic, complemented
131#19127594C2211yescharacteristic, complemented
132#19127593C2211yescharacteristic, complemented
133#19127592C2211yescharacteristic, complemented
134#19127591C2211yescharacteristic, complemented
135#19127591C2211yescharacteristic, complemented
136#19127590C2211yescharacteristic, complemented
137#19127590C2211yescharacteristic, complemented
138#19127589C2211yescharacteristic, complemented
139#19127589C2211yescharacteristic, complemented
140#19127589C2211yescharacteristic, complemented
141#19127589C2211yescharacteristic, complemented
142#19127589C2211yescharacteristic, complemented
143#19127585C2211yescharacteristic, complemented
144#19127582C2211yescharacteristic, complemented
145#19127581C2211yescharacteristic
146#19127580C2211yescharacteristic
147#19127580C2211yescharacteristic, complemented
148#19127580C2211yescharacteristic, complemented
149#19127579C2211yescharacteristic, complemented
150#19127579C2211yescharacteristic, complemented
151#19127579C2211yescharacteristic, complemented
152#19127577C2211yescharacteristic
153#19127577C2211yescharacteristic
154#19127577C2211yescharacteristic
155#19127577C2211yescharacteristic
156#19127577C2211yescharacteristic, complemented
157#19127577C2211yescharacteristic, complemented
158#19127577C2211yescharacteristic, complemented
159#19127576C2211yescharacteristic, complemented
160#19127575C2211yescharacteristic, complemented
161#19127575C2211yescharacteristic, complemented
162#19127575C2211yescharacteristic, complemented
163#19127574C2211yescharacteristic, complemented
164#19127572C2211yescharacteristic, complemented
165#19127564C2211yescharacteristic, complemented
166#19127563C2211yescharacteristic, complemented
167#19127563C2211yescharacteristic, complemented
168#19127560C2211yescharacteristic, complemented
169#19127560C2211yescharacteristic, complemented
170#19127559C2211yescharacteristic, complemented
171#19127556C2211yescharacteristic, complemented
172#19127552C2211yescharacteristic, complemented
173#19127546C2211yescharacteristic, complemented
174C2×#123×C83C2211yescharacteristic
175C2×#120×C83C2211yescharacteristic
176C2×C4×D4×C83C2211yescharacteristic
177C22×C22⋊C4×C83C2211yescharacteristic, complemented
178#396×C83C2211yescharacteristic, complemented
179#396×C83C2211yescharacteristic, complemented
180#394×C83C2211yescharacteristic
181#394×C83C2211yescharacteristic
182#388×C83C2211yescharacteristic, complemented
183#388×C83C2211yescharacteristic, complemented
184#386×C83C2211yescharacteristic
185#386×C83C2211yescharacteristic
186#381×C83C2211yescharacteristic, complemented
187#380×C83C2211yescharacteristic, complemented
188#379×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C2×#13050590—24no—
191C2×#13050590—42no—
192C2×#13050590—42no—
193C22×Dic166C2311yescharacteristic
194C22×Dic166C2311yescharacteristic
195C22×D332C2311yescharacteristic
196C22×D332C2311yescharacteristic
197C22×D332C2311yescharacteristic
198C22×D332C2311yescharacteristic
199C22×D332C2311yescharacteristic
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
212C22×C22⋊D83C2311yescharacteristic
213C22×C22⋊D83C2311yescharacteristic
214C23×Dic83C2311yescharacteristic
215C22×C4×D83—24no—
216C22×C4×D83—42no—
217C22×C4×D83—42no—
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220C22×C4×D83C2311yescharacteristic
221C22×C4×D83C2311yescharacteristic
222C22×C4×D83C2311yescharacteristic
223C22×C4×D83C2311yescharacteristic
224#14581788—42no—
225#14581785—24no—
226#14581785—24no—
227#14581778—24no—
228#14581778—24no—
229#14581778—42no—
230#14581777—24no—
231#14581774—24no—
232#14581774—24no—
233#14581774—24no—
234#14581774—42no—
235#14581772—42no—
236#14581771—24no—
237#14581770—24no—
238#14581769—24no—
239#14581767—42no—
240#14581766—24no—
241#14581765—24no—
242#14581765—24no—
243#14581765—24no—
244#14581765—42no—
245#14581764—24no—
246#14581764—42no—
247#14581762—24no—
248#14581762—42no—
249#14581761—24no—
250#14581761—24no—
251#14581761—42no—
252#14581761—42no—
253#14581760—24no—
254#14581760—42no—
255#14581760—42no—
256C4×D332—24no—
257C4×C22⋊D83—24no—
258C4×C22⋊D83—24no—
259C4×C22⋊D83D418yescomplemented
260#14581749—24no—
261C2×C4⋊Dic83C2311yescharacteristic
262C2×C4⋊Dic83C2311yescharacteristic
263C2×C4⋊Dic83C2311yescharacteristic
264C2×C4⋊Dic83C2311yescharacteristic
265C2×C4⋊Dic83C2311yescharacteristic
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×Dic83⋊C4C2311yescharacteristic
278C2×Dic83⋊C4C2311yescharacteristic
279C2×Dic83⋊C4C2311yescharacteristic
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×(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
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
350C83⋊#95C2311yescharacteristic
351C83⋊#95C2311yescharacteristic
352C25×C83C2311yescharacteristic
353C22×D4×C83C2311yescharacteristic
354C22×D4×C83C2311yescharacteristic
355C22×D4×C83C2311yescharacteristic
356C23×C4×C83C2311yescharacteristic
357C23×C4×C83C2311yescharacteristic
358C23×C4×C83C2311yescharacteristic
359#123×C83—42no—
360#120×C83—42no—
361C4×D4×C83—24no—
362C2×C4⋊C4×C83C2311yescharacteristic
363C2×C4⋊C4×C83C2311yescharacteristic
364C2×C4⋊C4×C83C2311yescharacteristic
365C2×C4⋊C4×C83C2311yescharacteristic
366C2×C4⋊C4×C83C2311yescharacteristic
367C2×C22⋊C4×C83—24no—
368C2×C22⋊C4×C83C2311yescharacteristic
369C2×C22⋊C4×C83C2311yescharacteristic
370C2×C22⋊C4×C83C2311yescharacteristic
371C2×C22⋊C4×C83C2311yescharacteristic
372C2×C22⋊C4×C83C2311yescharacteristic
373C2×C22⋊C4×C83C2311yescharacteristic
374C2×C22⋊C4×C83C2311yescharacteristic
375C2×C22⋊C4×C83C2311yescharacteristic
376C2×C22⋊C4×C83C2311yescharacteristic
377C2×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—22no—
393C23×D83—22no—
394C23×D83—41no—
395C23×D83—41no—
396C23×D83—41no—
397C23×D83—41no—
398C23×D83C2411yescharacteristic
399C23×D83C2411yescharacteristic
400C23×D83C2411yescharacteristic
401C23×D83C2411yescharacteristic
402#13050590—416no—
403C2×Dic166—22no—
404C2×Dic166—22no—
405C2×Dic166—22no—
406C2×Dic166—41no—
407C2×Dic166—41no—
408C2×Dic166—41no—
409C2×D332—22no—
410C2×D332—22no—
411C2×D332—22no—
412C2×D332—22no—
413C2×D332—22no—
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×C22⋊D83—22no—
425C2×C22⋊D83—22no—
426C2×C22⋊D83—22no—
427C2×C22⋊D83—22no—
428C2×C22⋊D83—22no—
429C2×C22⋊D83—22no—
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—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⋊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⋊D83C2×D414yes—
466C22×Dic83—22no—
467C22×Dic83—22no—
468C22×Dic83—41no—
469C22×Dic83C2411yescharacteristic
470C22×Dic83C2411yescharacteristic
471C22×Dic83C2411yescharacteristic
472C22×Dic83C2411yescharacteristic
473C22×Dic83C2411yescharacteristic
474C22×Dic83C2411yescharacteristic
475C22×Dic83C2411yescharacteristic
476C22×Dic83C2411yescharacteristic
477C22×Dic83C2411yescharacteristic
478C22×Dic83C2411yescharacteristic
479C22×Dic83C2411yescharacteristic
480C22×Dic83C2411yescharacteristic
481C2×C4×D83—22no—
482C2×C4×D83—22no—
483C2×C4×D83—22no—
484C2×C4×D83—22no—
485C2×C4×D83—22no—
486C2×C4×D83—22no—
487C2×C4×D83—22no—
488C2×C4×D83—22no—
489C2×C4×D83—22no—
490C2×C4×D83—416no—
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×D83C2×D414yes—
500C4⋊Dic83—22no—
501C4⋊Dic83—22no—
502C4⋊Dic83—22no—
503C4⋊Dic83—22no—
504C4⋊Dic83—41no—
505Dic83⋊C4—22no—
506Dic83⋊C4—22no—
507Dic83⋊C4—22no—
508Dic83⋊C4—22no—
509Dic83⋊C4—22no—
510Dic83⋊C4—22no—
511Dic83⋊C4—41no—
512Dic83⋊C4—41no—
513Dic83⋊C4—41no—
514Dic83⋊C4—41no—
515Dic83⋊C4—41no—
516Dic83⋊C4—41no—
517Dic83⋊C4—41no—
518Dic83⋊C4C2×D414yes—
519C22⋊Dic83—22no—
520C22⋊Dic83—22no—
521C22⋊Dic83—22no—
522C22⋊Dic83—22no—
523C22⋊Dic83—22no—
524C22⋊Dic83—22no—
525C22⋊Dic83—22no—
526C22⋊Dic83—22no—
527C22⋊Dic83—22no—
528C22⋊Dic83—41no—
529C22⋊Dic83—41no—
530C22⋊Dic83—41no—
531C22⋊Dic83—41no—
532C22⋊Dic83—41no—
533C22⋊Dic83—41no—
534C22⋊Dic83C2×D414yes—
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—41no—
546(C2×D83)⋊C4—41no—
547(C2×D83)⋊C4—41no—
548(C2×D83)⋊C4—41no—
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)⋊C4C2×D414yes—
563C4×Dic83—22no—
564C4×Dic83—41no—
565C4×Dic83—41no—
566C4×Dic83—41no—
567C4×Dic83—41no—
568C4×Dic83C2×D414yes—
569C24×C83—22no—
570C24×C83—41no—
571C24×C83—41no—
572C24×C83—41no—
573C24×C83—41no—
574C24×C83—41no—
575C24×C83—41no—
576C24×C83C2411yescharacteristic
577C24×C83C2411yescharacteristic
578C24×C83C2411yescharacteristic
579C24×C83C2411yescharacteristic
580C2×D4×C83—22no—
581C2×D4×C83—22no—
582C2×D4×C83—22no—
583C2×D4×C83—22no—
584C2×D4×C83—41no—
585C2×D4×C83—41no—
586C2×D4×C83—41no—
587C2×D4×C83—41no—
588C2×D4×C83—41no—
589C22×C4×C83—22no—
590C22×C4×C83—22no—
591C22×C4×C83—41no—
592C22×C4×C83—41no—
593C22×C4×C83—41no—
594C22×C4×C83—41no—
595C22×C4×C83—41no—
596C22×C4×C83—41no—
597C22×C4×C83C2×D414yes—
598C22×C4×C83C2411yescharacteristic
599C22×C4×C83C2411yescharacteristic
600C22×C4×C83C2411yescharacteristic
601C22×C4×C83C2411yescharacteristic
602C22×C4×C83C2411yescharacteristic
603C22×C4×C83C2411yescharacteristic
604C22×C4×C83C2411yescharacteristic
605C22×C4×C83C2411yescharacteristic
606C22×C4×C83C2411yescharacteristic
607C22×C4×C83C2411yescharacteristic
608C22×C4×C83C2411yescharacteristic
609C4⋊C4×C83—22no—
610C4⋊C4×C83—41no—
611C4⋊C4×C83—41no—
612C4⋊C4×C83—41no—
613C4⋊C4×C83—41no—
614C22⋊C4×C83—22no—
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×C83—41no—
628C22⋊C4×C83—41no—
629C22⋊C4×C83—41no—
630C42×C83—22no—
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—44no—
658C23×C83—82no—
659C23×C83—82no—
660C23×C83—82no—
661C23×C83—82no—
662C23×C83—82no—
663C23×C83—82no—
664C23×C83C22×D412yes—
665C23×C83H(5,𝔽2)12yes—
666C23×C83C2511yescharacteristic
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—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—
702D4×C83—44no—
703D4×C83—82no—
704D4×C83—82no—
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—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—44no—
737C2×C4×C83—44no—
738C2×C4×C83—82no—
739C2×C4×C83C22×D412yes—
740C2×C4×C83C22×D412yes—
741C22⋊D83—44no—
742C22⋊D83—44no—
743C22⋊D83—44no—
744C22⋊D83—44no—
745C22⋊D83—44no—
746C22⋊D83—82no—
747C22⋊D83—82no—
748C22⋊D83—82no—
749C22⋊D83—82no—
750C22⋊D83—82no—
751C22⋊D83—82no—
752C22⋊D83—82no—
753C22⋊D83—82no—
754C22⋊D83—82no—
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—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—44no—
788C2×Dic83C22×D412yes—
789C2×Dic83C22×D412yes—
790C2×Dic83C22×D412yes—
791C2×Dic83H(5,𝔽2)12yes—
792D332—44no—
793D332—44no—
794D332—82no—
795D332—82no—
796D332—82no—
797C4×D83—28no—
798C4×D83—44no—
799C4×D83—44no—
800C4×D83—44no—
801C4×D83—44no—
802C4×D83—82no—
803Dic166—44no—
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—88no—
834C22×C83C23×D411yescharacteristic
835C22×C83C2×H(5,𝔽2)11yescharacteristic
836C22×C83C2×H(5,𝔽2)11yescharacteristic
837C22×C83C2×H(5,𝔽2)11yescharacteristic
838C22×C83#58511yescharacteristic
839C22×C83#58511yescharacteristic
840C22×C83#58511yescharacteristic
841C2×D83—22no—
842C2×D83—22no—
843C2×D83—22no—
844C2×D83—22no—
845C2×D83—22no—
846C2×D83—22no—
847C2×D83—416no—
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—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—41no—
873C4×C83—41no—
874C4×C83—41no—
875C4×C83—41no—
876C4×C83—41no—
877C4×C83—41no—
878C4×C83—41no—
879C4×C83—41no—
880C4×C83—41no—
881Dic83—22no—
882Dic83—22no—
883Dic83—22no—
884Dic83—22no—
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#344911yescharacteristic
899C2×C83#348411yescharacteristic
900C2×C83#348811yescharacteristic
901C2×C83#353311yescharacteristic
902C2×C83#353411yescharacteristic
903C2×C83#354011yescharacteristic
904C2×C83#354211yescharacteristic
905D83—42no—
906D83—42no—
907D83—81no—
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#2534D8311yescharacteristic, complemented
937#2407—831no—
938#2404—831no—
939#2319—831no—
940C83#3672411yescharacteristic, complemented, Sylow
941C22×#41—831no—
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×#123C2×D8311yescharacteristic
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×#120—831no—
978C2×#120C2×D8311yescharacteristic
979C2×C4×D4—831no—
980C2×C4×D4—831no—
981C2×C4×D4—831no—
982C2×C4×D4—831no—
983C2×C4×D4C2×D8311yescharacteristic
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#396C2×D8311yescharacteristic, complemented
999#396C2×D8311yescharacteristic, complemented
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#394C2×D8311yescharacteristic
1019#394C2×D8311yescharacteristic
1020#393—831no—
1021#393—831no—
1022#393—831no—
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#392—831no—
1033#392—831no—
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#388C2×D8311yescharacteristic, complemented
1061#388C2×D8311yescharacteristic, complemented
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#386—831no—
1075#386—831no—
1076#386—831no—
1077#386—831no—
1078#386C2×D8311yescharacteristic
1079#386C2×D8311yescharacteristic
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#380C2×D8311yescharacteristic, complemented
1094#379—831no—
1095#379C2×D8311yescharacteristic, complemented
1096C4×C4⋊C4—831no—
1097#376—831no—
1098C25—831no—
1099C25C22×D8311yescharacteristic
1100C2×#41—3322no—
1101C2×#41—3322no—
1102C2×#41—1664no—
1103C22×Q8—831no—
1104C22×Q8—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×D4—831no—
1114C22×D4—831no—
1115C22×D4—831no—
1116C22×D4—831no—
1117C22×D4—831no—
1118C22×D4—831no—
1119C22×D4—831no—
1120C22×D4—831no—
1121C22×D4—831no—
1122C22×D4—831no—
1123C22×D4—831no—
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—831no—
1136C23×C4—1664no—
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—42no—
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—3322no—
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—24no—
1175C4×D4—838no—
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⋊C4C22×D8311yescharacteristic
1200C2×C4⋊C4C22×D8311yescharacteristic
1201C2×C4⋊C4C22×D8311yescharacteristic
1202C2×C4⋊C4C22×D8311yescharacteristic
1203C2×C4⋊C4C22×D8311yescharacteristic
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⋊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×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×C42C22×D8311yescharacteristic
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#95—831no—
1293#95—831no—
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—831no—
1315C24—1662no—
1316C24—1662no—
1317C24—1662no—
1318C24C23×D8311yescharacteristic
1319C24C23×D8311yescharacteristic
1320C24C23×D8311yescharacteristic
1321C24C23×D8311yescharacteristic
1322#41—33216no—
1323C2×Q8—3321no—
1324C2×Q8—3321no—
1325C2×Q8—3321no—
1326C2×Q8—1662no—
1327C2×Q8—1662no—
1328C2×Q8—1662no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
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—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—834no—
1376C2×D4—1662no—
1377C2×D4—1662no—
1378C2×D4—1662no—
1379C2×D4—1662no—
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—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—3321no—
1404C22×C4—3321no—
1405C22×C4—3321no—
1406C22×C4—3321no—
1407C22×C4—3321no—
1408C22×C4—3321no—
1409C22×C4—3321no—
1410C22×C4—3321no—
1411C22×C4—33216no—
1412C22×C4—3321no—
1413C22×C4—834no—
1414C22×C4—831no—
1415C22×C4—831no—
1416C22×C4—831no—
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—1662no—
1427C22×C4—1662no—
1428C22×C4—1662no—
1429C22×C4—1662no—
1430C22×C4—1662no—
1431C22×C4—1662no—
1432C22×C4—1662no—
1433C22×C4—1662no—
1434C22×C4—1662no—
1435C22×C4—1662no—
1436C22×C4—1662no—
1437C22×C4D4×D8314yes—
1438C22×C4C23×D8311yescharacteristic
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—22no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—3321no—
1455C4⋊C4—3321no—
1456C4⋊C4—3321no—
1457C4⋊C4—3321no—
1458C4⋊C4—3321no—
1459C4⋊C4—3321no—
1460C4⋊C4—3321no—
1461C4⋊C4—3321no—
1462C4⋊C4—834no—
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—22no—
1480C22⋊C4—22no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
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—3321no—
1511C22⋊C4—3321no—
1512C22⋊C4—834no—
1513C22⋊C4—834no—
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—22no—
1534C42—3321no—
1535C42—3321no—
1536C42—3321no—
1537C42—3321no—
1538C42—834no—
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—44no—
1567C23—82no—
1568C23—82no—
1569C23—82no—
1570C23—82no—
1571C23—82no—
1572C23—82no—
1573C23—3324no—
1574C23—3324no—
1575C23—3324no—
1576C23—3324no—
1577C23—3324no—
1578C23—3324no—
1579C23—3324no—
1580C23—832no—
1581C23—832no—
1582C23—1661no—
1583C23—1661no—
1584C23—1661no—
1585C23—1661no—
1586C23—1661no—
1587C23—1661no—
1588C23—1661no—
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—3324no—
1612Q8—6642no—
1613D4—44no—
1614D4—82no—
1615D4—82no—
1616D4—3324no—
1617D4—3324no—
1618D4—3324no—
1619D4—3324no—
1620D4—3324no—
1621D4—3324no—
1622D4—3324no—
1623D4—6642no—
1624D4—6642no—
1625D4—6642no—
1626D4—6642no—
1627D4—6642no—
1628D4—6642no—
1629D4—6642no—
1630D4—6642no—
1631D4—6642no—
1632D4—6642no—
1633D4—6642no—
1634D4—6642no—
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—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—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—82no—
1669C2×C4—3324no—
1670C2×C4—3324no—
1671C2×C4—3324no—
1672C2×C4—3324no—
1673C2×C4—3324no—
1674C2×C4—832no—
1675C2×C4—832no—
1676C2×C4—832no—
1677C2×C4—832no—
1678C2×C4—6642no—
1679C2×C4—1668no—
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×C4—1661no—
1712C2×C4C2×D4×D8312yes—
1713C2×C4C2×D4×D8312yes—
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—88no—
1743C22—33216no—
1744C22—3321no—
1745C22—3321no—
1746C22—3321no—
1747C22—3321no—
1748C22—3321no—
1749C22—3321no—
1750C22—3321no—
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
1774C22H(5,𝔽2)×D8311yescharacteristic
1775C22C2×#1458183711yescharacteristic
1776C22#1912853711yescharacteristic
1777C22#1912853711yescharacteristic
1778C22#1912853711yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—3321no—
1791C4—3321no—
1792C4—3321no—
1793C4—3321no—
1794C4—3321no—
1795C4—3321no—
1796C4—3321no—
1797C4—3321no—
1798C4—1662no—
1799C4—1662no—
1800C4—1662no—
1801C4—1662no—
1802C2—42no—
1803C2—42no—
1804C2—81no—
1805C2—81no—
1806C2—3322no—
1807C2—3322no—
1808C2—6641no—
1809C2—6641no—
1810C2#2492079311yescharacteristic
1811C2#2492109511yescharacteristic
1812C2#2492112811yescharacteristic
1813C2#2492162811yescharacteristic
1814C2#2492164811yescharacteristic
1815C2#2492173211yescharacteristic
1816C2#2492176411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2534C2
hypercenter#2534D83
hypocenterC83#36724
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2534

Complements

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

NH ≅ G/Ntype
1. C2×#19128289C2semidirect
2. C2×#19128210C2semidirect
3. #24915754C2semidirect
4. #24915744C2semidirect
5. #24914141C2semidirect
6. #24914096C2semidirect
7. #24914066C2semidirect
8. #24914050C2semidirect
9. #24913884C2semidirect
10. #24913823C2semidirect
11. #24913820C2semidirect
12. #24913814C2semidirect
13. #24913797C2semidirect
14. #24913792C2semidirect
15. #24913792C2semidirect
16. #24913782C2semidirect
17. #24913714C2semidirect
18. #24913691C2semidirect
19. #24913680C2semidirect
20. #24913679C2semidirect
21. #24913354C2semidirect
22. #24913310C2semidirect
23. #24913148C2semidirect
24. #24913087C2semidirect
25. #24913066C2semidirect
26. #24913045C2semidirect
27. #24912432C2semidirect
28. #24910809C2semidirect
29. #24910782C2semidirect
30. #24910105C2semidirect
31. C83×#2534C2semidirect
33. C23×C4×D83C22semidirect
36. C2×#14581785C22semidirect
37. C2×#14581785C22semidirect
39. C2×#14581778C22semidirect
40. C2×#14581778C22semidirect
42. C2×#14581777C22semidirect
46. C2×#14581774C22semidirect
47. C2×#14581772C22semidirect
48. C2×#14581771C22semidirect
49. C2×#14581770C22semidirect
50. C2×#14581769C22semidirect
51. C2×#14581767C22semidirect
59. C2×#14581762C22semidirect
60. C2×#14581762C22semidirect
63. C2×#14581761C22semidirect
64. C2×#14581761C22semidirect
68. C2×C4×D332C22semidirect
70. C2×C4×C22⋊D83C22semidirect
71. C2×C4×C22⋊D83C22semidirect
72. C2×#14581749C22semidirect
73. #19127643C22semidirect
74. #19127636C22semidirect
75. #19127635C22semidirect
76. #19127635C22semidirect
77. #19127633C22semidirect
78. #19127629C22semidirect
79. #19127629C22semidirect
80. #19127627C22semidirect
81. #19127624C22semidirect
82. #19127624C22semidirect
83. #19127623C22semidirect
84. #19127623C22semidirect
85. #19127621C22semidirect
86. #19127619C22semidirect
87. #19127619C22semidirect
88. #19127618C22semidirect
91. #19127617C22semidirect
92. #19127617C22semidirect
95. #19127616C22semidirect
96. #19127616C22semidirect
97. #19127616C22semidirect
98. #19127616C22semidirect
99. #19127616C22semidirect
100. #19127616C22semidirect
103. #19127614C22semidirect
104. #19127613C22semidirect
105. #19127613C22semidirect
106. #19127611C22semidirect
113. #19127610C22semidirect
114. #19127610C22semidirect
117. #19127606C22semidirect
118. #19127605C22semidirect
120. #19127602C22semidirect
121. #19127602C22semidirect
126. #19127601C22semidirect
127. #19127601C22semidirect
128. #19127597C22semidirect
129. #19127596C22semidirect
130. #19127596C22semidirect
131. #19127594C22semidirect
132. #19127593C22semidirect
133. #19127592C22semidirect
134. #19127591C22semidirect
135. #19127591C22semidirect
136. #19127590C22semidirect
137. #19127590C22semidirect
138. #19127589C22semidirect
139. #19127589C22semidirect
140. #19127589C22semidirect
141. #19127589C22semidirect
142. #19127589C22semidirect
143. #19127585C22semidirect
144. #19127582C22semidirect
147. #19127580C22semidirect
148. #19127580C22semidirect
149. #19127579C22semidirect
150. #19127579C22semidirect
151. #19127579C22semidirect
156. #19127577C22semidirect
157. #19127577C22semidirect
158. #19127577C22semidirect
159. #19127576C22semidirect
160. #19127575C22semidirect
161. #19127575C22semidirect
162. #19127575C22semidirect
163. #19127574C22semidirect
164. #19127572C22semidirect
165. #19127564C22semidirect
166. #19127563C22semidirect
167. #19127563C22semidirect
168. #19127560C22semidirect
169. #19127560C22semidirect
170. #19127559C22semidirect
171. #19127556C22semidirect
172. #19127552C22semidirect
173. #19127546C22semidirect
177. C22×C22⋊C4×C83C22semidirect
178. #396×C83C22semidirect
179. #396×C83C22semidirect
182. #388×C83C22semidirect
183. #388×C83C22semidirect
186. #381×C83C22semidirect
187. #380×C83C22semidirect
188. #379×C83C22semidirect
259. C4×C22⋊D83D4semidirect
936. #2534D83semidirect
940. C83#36724semidirect
985. C22×C22⋊C4C2×D83semidirect
998. #396C2×D83semidirect
999. #396C2×D83semidirect
1060. #388C2×D83semidirect
1061. #388C2×D83semidirect
1089. #381C2×D83semidirect
1093. #380C2×D83semidirect
1095. #379C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282892
C2×#191282102
#249157542
#249157442
#249141412
#249140962
#249140662
#249140502
#249138842
#249138232
#249138202
#249138142
#249137972
#249137922
#249137822
#249137142
#249136912
#249136802
#249136792
#249133542
#249133102
#249131482
#249130872
#249130662
#249130452
#249124322
#249108092
#249107822
#249101052
C83×#25342
#3672483