Finite Group Databasebeta

← #35577855

Subgroups — #35577855

Order 21248.

2778 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128210C211yesmaximal, characteristic, complemented
2C2×#19128209C211yesmaximal, characteristic, complemented
3#24915814C211yesmaximal, characteristic, complemented
4#24915807C211yesmaximal, characteristic, complemented
5#24915761C211yesmaximal, characteristic, complemented
6#24915761C211yesmaximal, characteristic, complemented
7#24913202C211yesmaximal, characteristic, complemented
8#24913202C211yesmaximal, characteristic, complemented
9#24913198C211yesmaximal, characteristic, complemented
10#24913196C211yesmaximal, characteristic, complemented
11#24913082C211yesmaximal, characteristic, complemented
12#24913080C211yesmaximal, characteristic, complemented
13#24913077C211yesmaximal, characteristic, complemented
14#24913075C211yesmaximal, characteristic, complemented
15#24913074C211yesmaximal, characteristic, complemented
16#24913072C211yesmaximal, characteristic, complemented
17#24913069C211yesmaximal, characteristic, complemented
18#24911923C211yesmaximal, characteristic, complemented
19#24911920C211yesmaximal, characteristic, complemented
20#24911914C211yesmaximal, characteristic, complemented
21#24911911C211yesmaximal, characteristic, complemented
22#24911089C211yesmaximal, characteristic, complemented
23#24911086C211yesmaximal, characteristic, complemented
24#24911080C211yesmaximal, characteristic, complemented
25#24911077C211yesmaximal, characteristic, complemented
26#24910167C211yesmaximal, characteristic, complemented
27#24910165C211yesmaximal, characteristic, complemented
28#24910162C211yesmaximal, characteristic, complemented
29#24910160C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D83C211yesmaximal, characteristic, complemented
31C83×#2602C211yesmaximal, characteristic, complemented
32C22×#13050590C2211yescharacteristic
33C22×#13050589C2211yescharacteristic
34C23×C4×D83C2211yescharacteristic
35C2×#14581791C2211yescharacteristic, complemented
36C2×#14581788C2211yescharacteristic, complemented
37C2×#14581778C2211yescharacteristic, complemented
38C2×#14581778C2211yescharacteristic, complemented
39#19128210—28no—
40#19128209—28no—
41C2×#14581777C2211yescharacteristic
42C2×#14581775C2211yescharacteristic
43C2×#14581774C2211yescharacteristic
44C2×#14581770C2211yescharacteristic
45C2×#14581770C2211yescharacteristic
46C2×#14581770C2211yescharacteristic
47C2×#14581769C2211yescharacteristic
48C2×#14581767C2211yescharacteristic
49C2×#14581765C2211yescharacteristic
50C2×#14581765C2211yescharacteristic
51C2×#14581765C2211yescharacteristic
52C2×#14581765C2211yescharacteristic
53C2×#14581765C2211yescharacteristic
54C2×#14581764C2211yescharacteristic
55C2×#14581763C2211yescharacteristic
56C2×#14581762C2211yescharacteristic
57C2×#14581762C2211yescharacteristic
58C2×#14581760C2211yescharacteristic
59C2×#14581760C2211yescharacteristic
60C2×C4×D332C2211yescharacteristic
61C2×#14581754C2211yescharacteristic
62C2×#14581754C2211yescharacteristic
63C2×C4×C22⋊D83C2211yescharacteristic
64C2×C4×C22⋊D83C2211yescharacteristic
65C2×(C22⋊D83)⋊C4C2211yescharacteristic
66C2×(C22⋊D83)⋊C4C2211yescharacteristic
67C2×#14581749C2211yescharacteristic
68C2×#14581748C2211yescharacteristic
69C2×C22⋊C4×D83C2211yescharacteristic
70C2×C22⋊C4×D83C2211yescharacteristic
71C2×C42×D83C2211yescharacteristic
72C2×C42×D83C2211yescharacteristic
73#19127630C2211yescharacteristic
74#19127630C2211yescharacteristic
75#19127629C2211yescharacteristic
76#19127629C2211yescharacteristic
77#19127628C2211yescharacteristic
78#19127627C2211yescharacteristic
79#19127626C2211yescharacteristic
80#19127619C2211yescharacteristic
81#19127619C2211yescharacteristic
82#19127618C2211yescharacteristic
83#19127618C2211yescharacteristic
84#19127617C2211yescharacteristic
85#19127617C2211yescharacteristic
86#19127617C2211yescharacteristic
87#19127617C2211yescharacteristic
88#19127616C2211yescharacteristic
89#19127616C2211yescharacteristic
90#19127616C2211yescharacteristic
91#19127616C2211yescharacteristic
92#19127615C2211yescharacteristic
93#19127615C2211yescharacteristic
94#19127611C2211yescharacteristic
95#19127610C2211yescharacteristic
96#19127610C2211yescharacteristic
97#19127610C2211yescharacteristic
98#19127609C2211yescharacteristic
99#19127609C2211yescharacteristic
100#19127609C2211yescharacteristic
101#19127605C2211yescharacteristic, complemented
102#19127605C2211yescharacteristic, complemented
103#19127605C2211yescharacteristic, complemented
104#19127605C2211yescharacteristic, complemented
105#19127603C2211yescharacteristic, complemented
106#19127601C2211yescharacteristic, complemented
107#19127601C2211yescharacteristic, complemented
108#19127601C2211yescharacteristic, complemented
109#19127601C2211yescharacteristic, complemented
110#19127601C2211yescharacteristic, complemented
111#19127601C2211yescharacteristic, complemented
112#19127599C2211yescharacteristic, complemented
113#19127596C2211yescharacteristic, complemented
114#19127596C2211yescharacteristic, complemented
115#19127595C2211yescharacteristic, complemented
116#19127595C2211yescharacteristic, complemented
117#19127595C2211yescharacteristic, complemented
118#19127594C2211yescharacteristic, complemented
119#19127593C2211yescharacteristic, complemented
120#19127592C2211yescharacteristic, complemented
121#19127592C2211yescharacteristic, complemented
122#19127592C2211yescharacteristic, complemented
123#19127591C2211yescharacteristic, complemented
124#19127591C2211yescharacteristic, complemented
125#19127591C2211yescharacteristic, complemented
126#19127590C2211yescharacteristic, complemented
127#19127589C2211yescharacteristic, complemented
128#19127588C2211yescharacteristic, complemented
129#19127587C2211yescharacteristic, complemented
130#19127586C2211yescharacteristic, complemented
131#19127585C2211yescharacteristic, complemented
132#19127584C2211yescharacteristic, complemented
133#19127583C2211yescharacteristic, complemented
134#19127582C2211yescharacteristic, complemented
135#19127581C2211yescharacteristic, complemented
136#19127580C2211yescharacteristic, complemented
137#19127579C2211yescharacteristic
138#19127579C2211yescharacteristic
139#19127579C2211yescharacteristic
140#19127579C2211yescharacteristic
141#19127579C2211yescharacteristic, complemented
142#19127579C2211yescharacteristic, complemented
143#19127578C2211yescharacteristic, complemented
144#19127577C2211yescharacteristic
145#19127577C2211yescharacteristic
146#19127577C2211yescharacteristic
147#19127577C2211yescharacteristic
148#19127577C2211yescharacteristic, complemented
149#19127577C2211yescharacteristic, complemented
150#19127576C2211yescharacteristic, complemented
151#19127575C2211yescharacteristic, complemented
152#19127575C2211yescharacteristic, complemented
153#19127574C2211yescharacteristic, complemented
154#19127573C2211yescharacteristic, complemented
155#19127572C2211yescharacteristic, complemented
156#19127572C2211yescharacteristic, complemented
157#19127570C2211yescharacteristic, complemented
158#19127570C2211yescharacteristic, complemented
159#19127565C2211yescharacteristic, complemented
160#19127565C2211yescharacteristic, complemented
161#19127560C2211yescharacteristic
162#19127560C2211yescharacteristic
163#19127558C2211yescharacteristic
164#19127558C2211yescharacteristic
165C22⋊C4×Dic83C2211yescharacteristic
166C22⋊C4×Dic83C2211yescharacteristic
167C4×(C2×D83)⋊C4C2211yescharacteristic
168C4×(C2×D83)⋊C4C2211yescharacteristic
169C4×C22⋊Dic83C2211yescharacteristic
170#19127548C2211yescharacteristic
171#19127548C2211yescharacteristic
172#95×D83C2211yescharacteristic
173#95×D83C2211yescharacteristic
174C2×#123×C83C2211yescharacteristic
175C2×C4×D4×C83C2211yescharacteristic
176#397×C83C2211yescharacteristic
177#394×C83C2211yescharacteristic
178#394×C83C2211yescharacteristic
179#392×C83C2211yescharacteristic
180#390×C83C2211yescharacteristic, complemented
181#389×C83C2211yescharacteristic, complemented
182#388×C83C2211yescharacteristic, complemented
183#388×C83C2211yescharacteristic, complemented
184#388×C83C2211yescharacteristic, complemented
185#387×C83C2211yescharacteristic, complemented
186#386×C83C2211yescharacteristic, complemented
187#385×C83C2211yescharacteristic, complemented
188C4×C22⋊C4×C83C2211yescharacteristic
189C24×D83C2311yescharacteristic
190C2×#13050590—24no—
191C2×#13050590—42no—
192C2×#13050590—42no—
193C2×#13050589—24no—
194C2×#13050589—42no—
195C2×#13050589—42no—
196C22×Dic166C2311yescharacteristic
197C22×Dic166C2311yescharacteristic
198C22×D332C2311yescharacteristic
199C22×D332C2311yescharacteristic
200C22×D332C2311yescharacteristic
201C22×D332C2311yescharacteristic
202C22×D332C2311yescharacteristic
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
213C23×Dic83C2311yescharacteristic
214C23×Dic83C2311yescharacteristic
215C22×C4×D83—42no—
216C22×C4×D83—42no—
217C22×C4×D83D418yescomplemented
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220C22×C4×D83C2311yescharacteristic
221C22×C4×D83C2311yescharacteristic
222C22×C4×D83C2311yescharacteristic
223C22×C4×D83C2311yescharacteristic
224C22×C4×D83C2311yescharacteristic
225C22×C4×D83C2311yescharacteristic
226C22×C4×D83C2311yescharacteristic
227C22×C4×D83C2311yescharacteristic
228#14581791—42no—
229#14581788—42no—
230#14581778—42no—
231#14581778—42no—
232#14581777—24no—
233#14581775—24no—
234#14581774—24no—
235#14581770—24no—
236#14581770—24no—
237#14581770—24no—
238#14581769—24no—
239#14581767—24no—
240#14581765—24no—
241#14581765—24no—
242#14581765—24no—
243#14581765—24no—
244#14581765—24no—
245#14581764—24no—
246#14581763—24no—
247#14581762—24no—
248#14581762—24no—
249#14581760—24no—
250#14581760—24no—
251C4×D332—24no—
252#14581754—24no—
253#14581754—24no—
254C4×C22⋊D83—24no—
255C4×C22⋊D83—24no—
256(C22⋊D83)⋊C4—24no—
257(C22⋊D83)⋊C4—24no—
258#14581749—24no—
259#14581748—24no—
260C2×C4⋊Dic83C2311yescharacteristic
261C2×C4⋊Dic83C2311yescharacteristic
262C2×C4⋊Dic83C2311yescharacteristic
263C2×C4⋊Dic83C2311yescharacteristic
264C2×Dic83⋊C4C2311yescharacteristic
265C2×Dic83⋊C4C2311yescharacteristic
266C2×Dic83⋊C4C2311yescharacteristic
267C2×Dic83⋊C4C2311yescharacteristic
268C2×Dic83⋊C4C2311yescharacteristic
269C2×Dic83⋊C4C2311yescharacteristic
270C2×Dic83⋊C4C2311yescharacteristic
271C2×Dic83⋊C4C2311yescharacteristic
272C2×Dic83⋊C4C2311yescharacteristic
273C2×Dic83⋊C4C2311yescharacteristic
274C2×Dic83⋊C4C2311yescharacteristic
275C2×Dic83⋊C4C2311yescharacteristic
276C2×Dic83⋊C4C2311yescharacteristic
277C2×Dic83⋊C4C2311yescharacteristic
278C2×C22⋊Dic83C2311yescharacteristic
279C2×C22⋊Dic83C2311yescharacteristic
280C2×C22⋊Dic83C2311yescharacteristic
281C2×C22⋊Dic83C2311yescharacteristic
282C2×C22⋊Dic83C2311yescharacteristic
283C2×C22⋊Dic83C2311yescharacteristic
284C2×C22⋊Dic83C2311yescharacteristic
285C2×C22⋊Dic83C2311yescharacteristic
286C2×C22⋊Dic83C2311yescharacteristic
287C2×C22⋊Dic83C2311yescharacteristic
288C2×C22⋊Dic83C2311yescharacteristic
289C2×(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
317C22⋊C4×D83—24no—
318C22⋊C4×D83—24no—
319C2×C4×Dic83C2311yescharacteristic
320C2×C4×Dic83C2311yescharacteristic
321C2×C4×Dic83C2311yescharacteristic
322C2×C4×Dic83C2311yescharacteristic
323C2×C4×Dic83C2311yescharacteristic
324C2×C4×Dic83C2311yescharacteristic
325C2×C4×Dic83C2311yescharacteristic
326C2×C4×Dic83C2311yescharacteristic
327C2×C4×Dic83C2311yescharacteristic
328C42×D83—42no—
329C42×D83—42no—
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
352C83⋊#95C2311yescharacteristic
353C83⋊#95C2311yescharacteristic
354C22×D4×C83C2311yescharacteristic
355C22×D4×C83C2311yescharacteristic
356C22×D4×C83C2311yescharacteristic
357C23×C4×C83C2311yescharacteristic
358C23×C4×C83C2311yescharacteristic
359#123×C83—24no—
360C4×D4×C83—24no—
361C2×C4⋊C4×C83C2311yescharacteristic
362C2×C4⋊C4×C83C2311yescharacteristic
363C2×C4⋊C4×C83C2311yescharacteristic
364C2×C4⋊C4×C83C2311yescharacteristic
365C2×C4⋊C4×C83C2311yescharacteristic
366C2×C4⋊C4×C83C2311yescharacteristic
367C2×C22⋊C4×C83C2311yescharacteristic
368C2×C22⋊C4×C83C2311yescharacteristic
369C2×C22⋊C4×C83C2311yescharacteristic
370C2×C22⋊C4×C83C2311yescharacteristic
371C2×C22⋊C4×C83C2311yescharacteristic
372C2×C22⋊C4×C83C2311yescharacteristic
373C2×C22⋊C4×C83C2311yescharacteristic
374C2×C22⋊C4×C83C2311yescharacteristic
375C2×C22⋊C4×C83C2311yescharacteristic
376C2×C22⋊C4×C83C2311yescharacteristic
377C2×C22⋊C4×C83C2311yescharacteristic
378C2×C22⋊C4×C83C2311yescharacteristic
379C2×C22⋊C4×C83C2311yescharacteristic
380C2×C42×C83C2311yescharacteristic
381C2×C42×C83C2311yescharacteristic
382C2×C42×C83C2311yescharacteristic
383#95×C83C2311yescharacteristic
384#95×C83C2311yescharacteristic
385#95×C83C2311yescharacteristic
386#95×C83C2311yescharacteristic
387#95×C83C2311yescharacteristic
388#95×C83C2311yescharacteristic
389#95×C83C2311yescharacteristic
390#95×C83C2311yescharacteristic
391C23×D83—22no—
392C23×D83—22no—
393C23×D83—41no—
394C23×D83—41no—
395C23×D83—41no—
396C23×D83—41no—
397C23×D83C2×D414yes—
398C23×D83C2411yescharacteristic
399C23×D83C2411yescharacteristic
400C23×D83C2411yescharacteristic
401C23×D83C2411yescharacteristic
402#13050590—416no—
403#13050589—416no—
404C2×Dic166—22no—
405C2×Dic166—22no—
406C2×Dic166—22no—
407C2×Dic166—22no—
408C2×Dic166—22no—
409C2×Dic166—22no—
410C2×D332—22no—
411C2×D332—22no—
412C2×D332—22no—
413C2×D332—22no—
414C2×D332—22no—
415C2×D332—22no—
416C2×D332—22no—
417C2×D332—22no—
418C2×D332—22no—
419C2×D332—41no—
420C2×D332—41no—
421C2×D332—41no—
422C2×D332—41no—
423C2×D332—41no—
424C2×D332—41no—
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—22no—
439C2×C22⋊D83—22no—
440C2×C22⋊D83—22no—
441C2×C22⋊D83—22no—
442C2×C22⋊D83—22no—
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—
455C22×Dic83—22no—
456C22×Dic83—22no—
457C22×Dic83—22no—
458C22×Dic83—41no—
459C22×Dic83—41no—
460C22×Dic83C2×D414yes—
461C22×Dic83C2411yescharacteristic
462C22×Dic83C2411yescharacteristic
463C22×Dic83C2411yescharacteristic
464C22×Dic83C2411yescharacteristic
465C22×Dic83C2411yescharacteristic
466C22×Dic83C2411yescharacteristic
467C22×Dic83C2411yescharacteristic
468C22×Dic83C2411yescharacteristic
469C22×Dic83C2411yescharacteristic
470C22×Dic83C2411yescharacteristic
471C22×Dic83C2411yescharacteristic
472C22×Dic83C2411yescharacteristic
473C2×C4×D83—22no—
474C2×C4×D83—22no—
475C2×C4×D83—22no—
476C2×C4×D83—22no—
477C2×C4×D83—22no—
478C2×C4×D83—22no—
479C2×C4×D83—22no—
480C2×C4×D83—22no—
481C2×C4×D83—416no—
482C2×C4×D83—41no—
483C2×C4×D83—41no—
484C2×C4×D83—41no—
485C2×C4×D83—41no—
486C2×C4×D83—41no—
487C2×C4×D83—41no—
488C2×C4×D83—41no—
489C2×C4×D83—41no—
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×D83C2×D414yes—
499C2×C4×D83C2×D414yes—
500C2×C4×D83C2×D414yes—
501C2×C4×D83C2×D414yes—
502C2×C4×D83#4114yescomplemented
503C2×C4×D83#4114yescomplemented
504C4⋊Dic83—22no—
505C4⋊Dic83—22no—
506C4⋊Dic83—41no—
507C4⋊Dic83—41no—
508Dic83⋊C4—22no—
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—22no—
518Dic83⋊C4—41no—
519Dic83⋊C4—41no—
520Dic83⋊C4—41no—
521Dic83⋊C4—41no—
522C22⋊Dic83—22no—
523C22⋊Dic83—22no—
524C22⋊Dic83—22no—
525C22⋊Dic83—22no—
526C22⋊Dic83—22no—
527C22⋊Dic83—22no—
528C22⋊Dic83—22no—
529C22⋊Dic83—41no—
530C22⋊Dic83—41no—
531C22⋊Dic83—41no—
532C22⋊Dic83—41no—
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—22no—
550(C2×D83)⋊C4—22no—
551(C2×D83)⋊C4—22no—
552(C2×D83)⋊C4—22no—
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—
561C4×Dic83—22no—
562C4×Dic83—22no—
563C4×Dic83—22no—
564C4×Dic83—22no—
565C4×Dic83—22no—
566C4×Dic83—22no—
567C4×Dic83—22no—
568C4×Dic83—41no—
569C4×Dic83—41no—
570C24×C83C2411yescharacteristic
571C24×C83C2411yescharacteristic
572C24×C83C2411yescharacteristic
573C2×D4×C83—22no—
574C2×D4×C83—22no—
575C2×D4×C83—22no—
576C2×D4×C83—41no—
577C2×D4×C83—41no—
578C2×D4×C83—41no—
579C2×D4×C83—41no—
580C2×D4×C83—41no—
581C2×D4×C83—41no—
582C22×C4×C83—22no—
583C22×C4×C83—41no—
584C22×C4×C83—41no—
585C22×C4×C83—41no—
586C22×C4×C83—41no—
587C22×C4×C83C2×D414yes—
588C22×C4×C83C2411yescharacteristic
589C22×C4×C83C2411yescharacteristic
590C22×C4×C83C2411yescharacteristic
591C22×C4×C83C2411yescharacteristic
592C22×C4×C83C2411yescharacteristic
593C22×C4×C83C2411yescharacteristic
594C22×C4×C83C2411yescharacteristic
595C22×C4×C83C2411yescharacteristic
596C22×C4×C83C2411yescharacteristic
597C22×C4×C83C2411yescharacteristic
598C22×C4×C83C2411yescharacteristic
599C22×C4×C83C2411yescharacteristic
600C4⋊C4×C83—22no—
601C4⋊C4×C83—22no—
602C4⋊C4×C83—22no—
603C4⋊C4×C83—22no—
604C4⋊C4×C83—41no—
605C4⋊C4×C83—41no—
606C22⋊C4×C83—22no—
607C22⋊C4×C83—22no—
608C22⋊C4×C83—22no—
609C22⋊C4×C83—22no—
610C22⋊C4×C83—22no—
611C22⋊C4×C83—22no—
612C22⋊C4×C83—22no—
613C22⋊C4×C83—22no—
614C22⋊C4×C83—22no—
615C22⋊C4×C83—41no—
616C22⋊C4×C83—41no—
617C22⋊C4×C83—41no—
618C22⋊C4×C83—41no—
619C42×C83—22no—
620C42×C83—41no—
621C42×C83—41no—
622C23×C83—21no—
623C23×C83—21no—
624C23×C83—21no—
625C23×C83—21no—
626C23×C83—21no—
627C23×C83—21no—
628C23×C83—21no—
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×C83C22×D412yes—
643C23×C83C2511yescharacteristic
644C22×D83—21no—
645C22×D83—21no—
646C22×D83—21no—
647C22×D83—21no—
648C22×D83—21no—
649C22×D83—21no—
650C22×D83—21no—
651C22×D83—21no—
652C22×D83—21no—
653C22×D83—21no—
654C22×D83—28no—
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—44no—
670C22×D83—44no—
671C22×D83—44no—
672C22×D83—44no—
673C22×D83—44no—
674C22×D83—44no—
675C22×D83C22×D412yes—
676C22×D83C22×D412yes—
677C22×D83C2×#4112yes—
678C22×D83C2×#4112yes—
679D4×C83—44no—
680D4×C83—44no—
681D4×C83—82no—
682C2×C4×C83—21no—
683C2×C4×C83—21no—
684C2×C4×C83—21no—
685C2×C4×C83—21no—
686C2×C4×C83—21no—
687C2×C4×C83—21no—
688C2×C4×C83—21no—
689C2×C4×C83—21no—
690C2×C4×C83—21no—
691C2×C4×C83—21no—
692C2×C4×C83—21no—
693C2×C4×C83—21no—
694C2×C4×C83—21no—
695C2×C4×C83—21no—
696C2×C4×C83—21no—
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—44no—
715C2×C4×C83—44no—
716C2×C4×C83C22×D412yes—
717C2×C4×C83C22×D412yes—
718C2×C4×C83C2×#4112yes—
719C2×C4×C83C2×#4112yes—
720C22⋊D83—44no—
721C22⋊D83—44no—
722C22⋊D83—44no—
723C22⋊D83—44no—
724C22⋊D83—44no—
725C22⋊D83—44no—
726C22⋊D83—44no—
727C22⋊D83—44no—
728C22⋊D83—82no—
729C22⋊D83—82no—
730C2×Dic83—21no—
731C2×Dic83—21no—
732C2×Dic83—21no—
733C2×Dic83—21no—
734C2×Dic83—21no—
735C2×Dic83—21no—
736C2×Dic83—28no—
737C2×Dic83—21no—
738C2×Dic83—21no—
739C2×Dic83—21no—
740C2×Dic83—21no—
741C2×Dic83—21no—
742C2×Dic83—21no—
743C2×Dic83—21no—
744C2×Dic83—21no—
745C2×Dic83—21no—
746C2×Dic83—21no—
747C2×Dic83—21no—
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—44no—
762C2×Dic83C22×D412yes—
763C2×Dic83C22×D412yes—
764C2×Dic83C2×#4112yes—
765C2×Dic83C2×#4112yes—
766C2×Dic83H(5,𝔽2)12yes—
767C2×Dic83H(5,𝔽2)12yes—
768D332—44no—
769D332—44no—
770D332—44no—
771D332—44no—
772D332—82no—
773C4×D83—28no—
774C4×D83—28no—
775C4×D83—44no—
776C4×D83—44no—
777C4×D83—44no—
778C4×D83—44no—
779C4×D83—44no—
780C4×D83—44no—
781C4×D83—44no—
782C4×D83—44no—
783Dic166—44no—
784Dic166—44no—
785C22×C83—22no—
786C22×C83—22no—
787C22×C83—22no—
788C22×C83—41no—
789C22×C83—41no—
790C22×C83—41no—
791C22×C83—41no—
792C22×C83—41no—
793C22×C83—41no—
794C22×C83—41no—
795C22×C83—41no—
796C22×C83—41no—
797C22×C83—41no—
798C22×C83—41no—
799C22×C83—41no—
800C22×C83—41no—
801C22×C83—41no—
802C22×C83—41no—
803C22×C83—41no—
804C22×C83—41no—
805C22×C83—41no—
806C22×C83C23×D411yescharacteristic
807C22×C83C22×#4111yescharacteristic
808C22×C83C22×#4111yescharacteristic
809C22×C83C2×H(5,𝔽2)11yescharacteristic
810C22×C83C2×H(5,𝔽2)11yescharacteristic
811C22×C83#58511yescharacteristic
812C22×C83#58511yescharacteristic
813C2×D83—22no—
814C2×D83—22no—
815C2×D83—22no—
816C2×D83—22no—
817C2×D83—22no—
818C2×D83—22no—
819C2×D83—22no—
820C2×D83—22no—
821C2×D83—22no—
822C2×D83—416no—
823C2×D83—41no—
824C2×D83—41no—
825C2×D83—41no—
826C2×D83—41no—
827C2×D83—41no—
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#53214yes—
842C4×C83—22no—
843C4×C83—22no—
844C4×C83—22no—
845C4×C83—22no—
846C4×C83—41no—
847C4×C83—41no—
848C4×C83—41no—
849C4×C83—41no—
850C4×C83—41no—
851C4×C83—41no—
852C4×C83—41no—
853C4×C83—41no—
854Dic83—22no—
855Dic83—22no—
856Dic83—22no—
857Dic83—41no—
858Dic83—41no—
859Dic83—41no—
860Dic83—41no—
861Dic83—41no—
862Dic83—41no—
863Dic83—41no—
864Dic83—41no—
865Dic83#53414yes—
866#35032—831nomaximal, Sylow
867C2×C83—42no—
868C2×C83—81no—
869C2×C83—81no—
870C2×C83C2×#53211yescharacteristic
871C2×C83C2×#53411yescharacteristic
872C2×C83#344911yescharacteristic
873C2×C83#350511yescharacteristic
874C2×C83#350511yescharacteristic
875C2×C83#350611yescharacteristic
876C2×C83#350611yescharacteristic
877D83—24no—
878D83—42no—
879D83—81no—
880D83—81no—
881C2×#525—831no—
882C2×#525—831no—
883#2857—831no—
884#2856—831no—
885#2850—831no—
886#2850—831no—
887#2617—831no—
888#2617—831no—
889#2617—831no—
890#2617—831no—
891#2602—831no—
892#2602—831no—
893#2602—831no—
894#2602—831no—
895#2602—831no—
896#2602—831no—
897#2602—831no—
898#2602D8311yescharacteristic, complemented
899#2500—831no—
900#2500—831no—
901#2499—831no—
902#2499—831no—
903#2432—831no—
904#2432—831no—
905#2431—831no—
906#2431—831no—
907#2325—831no—
908#2325—831no—
909#2325—831no—
910#2325—831no—
911C2×C4×C22⋊C4—831no—
912C83#3503211yescharacteristic, complemented, Sylow
913C22×#41—831no—
914C22×#41—831no—
915C24×C4—831no—
916C2×C4⋊Q8—831no—
917C2×#127—831no—
918C2×#124—831no—
919C2×#124—831no—
920#525—1668no—
921#525—1668no—
922C2×#123—831no—
923C2×#123—831no—
924C2×#123—831no—
925C2×#123C2×D8311yescharacteristic
926C2×C22⋊Q8—831no—
927C2×C22⋊Q8—831no—
928C2×C22⋊Q8—831no—
929C2×C22⋊Q8—831no—
930C2×#121—831no—
931C2×#121—831no—
932C2×#121—831no—
933C2×#121—831no—
934C2×#121—831no—
935C2×#121—831no—
936C2×#121—831no—
937C2×#121—831no—
938C2×#120—831no—
939C2×#120—831no—
940C2×#120—831no—
941C2×#120—831no—
942C2×C4×D4—831no—
943C2×C4×D4—831no—
944C2×C4×D4—831no—
945C2×C4×D4—831no—
946C2×C4×D4—831no—
947C2×C4×D4—831no—
948C2×C4×D4—831no—
949C2×C4×D4C2×D8311yescharacteristic
950C2×#117—831no—
951C2×#117—831no—
952C22×C22⋊C4—831no—
953C22×C22⋊C4—831no—
954C22×C42—831no—
955C22×C42—831no—
956#397—831no—
957#397—831no—
958#397—831no—
959#397—831no—
960#397—831no—
961#397—831no—
962#397—831no—
963#397C2×D8311yescharacteristic
964#394—831no—
965#394—831no—
966#394—831no—
967#394—831no—
968#394—831no—
969#394—831no—
970#394—831no—
971#394—831no—
972#394—831no—
973#394—831no—
974#394—831no—
975#394—831no—
976#394—831no—
977#394—831no—
978#394C2×D8311yescharacteristic
979#394C2×D8311yescharacteristic
980#392—831no—
981#392—831no—
982#392—831no—
983#392—831no—
984#392—831no—
985#392—831no—
986#392—831no—
987#392C2×D8311yescharacteristic
988#391—831no—
989#391—831no—
990#391—831no—
991#391—831no—
992#390—831no—
993#390—831no—
994#390—831no—
995#390—831no—
996#390—831no—
997#390—831no—
998#390—831no—
999#390C2×D8311yescharacteristic, complemented
1000#389—831no—
1001#389—831no—
1002#389—831no—
1003#389C2×D8311yescharacteristic, complemented
1004#388—831no—
1005#388—831no—
1006#388—831no—
1007#388—831no—
1008#388—831no—
1009#388—831no—
1010#388—831no—
1011#388—831no—
1012#388—831no—
1013#388—831no—
1014#388—831no—
1015#388—831no—
1016#388—831no—
1017#388C2×D8311yescharacteristic, complemented
1018#388C2×D8311yescharacteristic, complemented
1019#388C2×D8311yescharacteristic, complemented
1020#387—831no—
1021#387—831no—
1022#387—831no—
1023#387—831no—
1024#387—831no—
1025#387—831no—
1026#387—831no—
1027#387C2×D8311yescharacteristic, complemented
1028#386—831no—
1029#386—831no—
1030#386—831no—
1031#386—831no—
1032#386—831no—
1033#386—831no—
1034#386—831no—
1035#386—831no—
1036#386—831no—
1037#386—831no—
1038#386—831no—
1039#386—831no—
1040#386—831no—
1041#386—831no—
1042#386—831no—
1043#386C2×D8311yescharacteristic, complemented
1044#385—831no—
1045#385—831no—
1046#385—831no—
1047#385—831no—
1048#385—831no—
1049#385—831no—
1050#385—831no—
1051#385C2×D8311yescharacteristic, complemented
1052#384—831no—
1053#384—831no—
1054#382—831no—
1055#382—831no—
1056#380—831no—
1057#380—831no—
1058#380—831no—
1059#380—831no—
1060C4×C22⋊C4—831no—
1061C4×C22⋊C4—831no—
1062C4×C22⋊C4—831no—
1063C4×C22⋊C4—831no—
1064C4×C22⋊C4—831no—
1065C4×C22⋊C4—831no—
1066C4×C22⋊C4—831no—
1067C4×C22⋊C4C2×D8311yescharacteristic
1068C2×#95—831no—
1069C2×#95—831no—
1070C25—831no—
1071C2×#41—3322no—
1072C2×#41—3322no—
1073C2×#41—3322no—
1074C2×#41—3322no—
1075C2×#41—1664no—
1076C2×#41—1664no—
1077C22×Q8—831no—
1078C22×Q8—831no—
1079C22×D4—831no—
1080C22×D4—831no—
1081C22×D4—831no—
1082C22×D4—831no—
1083C22×D4—831no—
1084C22×D4—831no—
1085C22×D4—831no—
1086C22×D4—831no—
1087C22×D4—831no—
1088C22×D4—831no—
1089C22×D4—831no—
1090C22×D4—831no—
1091C22×D4—831no—
1092C22×D4—831no—
1093C22×D4—831no—
1094C22×D4C22×D8311yescharacteristic
1095C22×D4C22×D8311yescharacteristic
1096C22×D4C22×D8311yescharacteristic
1097C23×C4—3322no—
1098C23×C4—3322no—
1099C23×C4—838no—
1100C23×C4—831no—
1101C23×C4—831no—
1102C23×C4—831no—
1103C23×C4—831no—
1104C23×C4—831no—
1105C23×C4—831no—
1106C23×C4—831no—
1107C23×C4—831no—
1108C23×C4—831no—
1109C23×C4—831no—
1110C23×C4—831no—
1111C23×C4—831no—
1112C23×C4C22×D8311yescharacteristic
1113C23×C4C22×D8311yescharacteristic
1114C4⋊Q8—3322no—
1115#127—3322no—
1116#124—3322no—
1117#124—3322no—
1118#123—24no—
1119#123—1664no—
1120#123—1664no—
1121#123—1664no—
1122C22⋊Q8—1664no—
1123C22⋊Q8—1664no—
1124C22⋊Q8—1664no—
1125C22⋊Q8—1664no—
1126#121—1664no—
1127#121—1664no—
1128#121—1664no—
1129#121—1664no—
1130#121—1664no—
1131#121—1664no—
1132#121—1664no—
1133#121—1664no—
1134#120—1664no—
1135#120—1664no—
1136#120—1664no—
1137#120—1664no—
1138C4×D4—24no—
1139C4×D4—1664no—
1140C4×D4—1664no—
1141C4×D4—1664no—
1142C4×D4—1664no—
1143C4×D4—1664no—
1144C4×D4—1664no—
1145C4×D4—1664no—
1146#117—1664no—
1147#117—1664no—
1148C2×C4⋊C4—831no—
1149C2×C4⋊C4—831no—
1150C2×C4⋊C4—831no—
1151C2×C4⋊C4—831no—
1152C2×C4⋊C4—831no—
1153C2×C4⋊C4—831no—
1154C2×C4⋊C4—831no—
1155C2×C4⋊C4—831no—
1156C2×C4⋊C4—831no—
1157C2×C4⋊C4—831no—
1158C2×C4⋊C4—831no—
1159C2×C4⋊C4—831no—
1160C2×C4⋊C4—831no—
1161C2×C4⋊C4—831no—
1162C2×C4⋊C4—831no—
1163C2×C4⋊C4—831no—
1164C2×C4⋊C4—831no—
1165C2×C4⋊C4—831no—
1166C2×C4⋊C4C22×D8311yescharacteristic
1167C2×C4⋊C4C22×D8311yescharacteristic
1168C2×C4⋊C4C22×D8311yescharacteristic
1169C2×C4⋊C4C22×D8311yescharacteristic
1170C2×C4⋊C4C22×D8311yescharacteristic
1171C2×C4⋊C4C22×D8311yescharacteristic
1172C2×C22⋊C4—831no—
1173C2×C22⋊C4—831no—
1174C2×C22⋊C4—831no—
1175C2×C22⋊C4—831no—
1176C2×C22⋊C4—831no—
1177C2×C22⋊C4—831no—
1178C2×C22⋊C4—831no—
1179C2×C22⋊C4—831no—
1180C2×C22⋊C4—831no—
1181C2×C22⋊C4—831no—
1182C2×C22⋊C4—831no—
1183C2×C22⋊C4—831no—
1184C2×C22⋊C4—831no—
1185C2×C22⋊C4—831no—
1186C2×C22⋊C4—831no—
1187C2×C22⋊C4—831no—
1188C2×C22⋊C4—831no—
1189C2×C22⋊C4—831no—
1190C2×C22⋊C4—831no—
1191C2×C22⋊C4—831no—
1192C2×C22⋊C4—831no—
1193C2×C22⋊C4—831no—
1194C2×C22⋊C4—831no—
1195C2×C22⋊C4—831no—
1196C2×C22⋊C4—831no—
1197C2×C22⋊C4—831no—
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—1664no—
1212C2×C22⋊C4—1664no—
1213C2×C22⋊C4C22×D8311yescharacteristic
1214C2×C22⋊C4C22×D8311yescharacteristic
1215C2×C22⋊C4C22×D8311yescharacteristic
1216C2×C22⋊C4C22×D8311yescharacteristic
1217C2×C22⋊C4C22×D8311yescharacteristic
1218C2×C22⋊C4C22×D8311yescharacteristic
1219C2×C22⋊C4C22×D8311yescharacteristic
1220C2×C22⋊C4C22×D8311yescharacteristic
1221C2×C22⋊C4C22×D8311yescharacteristic
1222C2×C22⋊C4C22×D8311yescharacteristic
1223C2×C22⋊C4C22×D8311yescharacteristic
1224C2×C22⋊C4C22×D8311yescharacteristic
1225C2×C22⋊C4C22×D8311yescharacteristic
1226C2×C42—3322no—
1227C2×C42—3322no—
1228C2×C42—831no—
1229C2×C42—831no—
1230C2×C42—831no—
1231C2×C42—831no—
1232C2×C42—831no—
1233C2×C42—831no—
1234C2×C42—831no—
1235C2×C42—831no—
1236C2×C42—831no—
1237C2×C42C22×D8311yescharacteristic
1238C2×C42C22×D8311yescharacteristic
1239C2×C42C22×D8311yescharacteristic
1240#95—831no—
1241#95—831no—
1242#95—831no—
1243#95—831no—
1244#95—831no—
1245#95—831no—
1246#95—831no—
1247#95—831no—
1248#95—831no—
1249#95—831no—
1250#95—831no—
1251#95—831no—
1252#95—831no—
1253#95—831no—
1254#95—831no—
1255#95—831no—
1256#95—831no—
1257#95—831no—
1258#95—831no—
1259#95—831no—
1260#95—831no—
1261#95—831no—
1262#95—831no—
1263#95—831no—
1264#95C22×D8311yescharacteristic
1265#95C22×D8311yescharacteristic
1266#95C22×D8311yescharacteristic
1267#95C22×D8311yescharacteristic
1268#95C22×D8311yescharacteristic
1269#95C22×D8311yescharacteristic
1270#95C22×D8311yescharacteristic
1271#95C22×D8311yescharacteristic
1272C24—3321no—
1273C24—3321no—
1274C24—3321no—
1275C24—3321no—
1276C24—834no—
1277C24—831no—
1278C24—831no—
1279C24—831no—
1280C24—831no—
1281C24—1662no—
1282C24—1662no—
1283C24C23×D8311yescharacteristic
1284C24C23×D8311yescharacteristic
1285C24C23×D8311yescharacteristic
1286#41—33216no—
1287#41—33216no—
1288C2×Q8—1662no—
1289C2×Q8—1662no—
1290C2×Q8—1662no—
1291C2×Q8—1662no—
1292C2×Q8—1662no—
1293C2×Q8—1662no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—3321no—
1304C2×D4—3321no—
1305C2×D4—3321no—
1306C2×D4—3321no—
1307C2×D4—3321no—
1308C2×D4—3321no—
1309C2×D4—3321no—
1310C2×D4—3321no—
1311C2×D4—3321no—
1312C2×D4—3321no—
1313C2×D4—3321no—
1314C2×D4—3321no—
1315C2×D4—3321no—
1316C2×D4—3321no—
1317C2×D4—3321no—
1318C2×D4—3321no—
1319C2×D4—3321no—
1320C2×D4—3321no—
1321C2×D4—1662no—
1322C2×D4—1662no—
1323C2×D4—1662no—
1324C2×D4—1662no—
1325C2×D4—1662no—
1326C2×D4—1662no—
1327C2×D4—1662no—
1328C2×D4—1662no—
1329C2×D4—1662no—
1330C2×D4—1662no—
1331C2×D4—1662no—
1332C2×D4—1662no—
1333C2×D4—1662no—
1334C2×D4—1662no—
1335C2×D4—1662no—
1336C2×D4—1662no—
1337C2×D4—1662no—
1338C2×D4—1662no—
1339C2×D4—1662no—
1340C2×D4—1662no—
1341C2×D4—1662no—
1342C2×D4—1662no—
1343C2×D4—1662no—
1344C2×D4—1662no—
1345C2×D4—1662no—
1346C2×D4—1662no—
1347C2×D4—1662no—
1348C22×C4—22no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—3321no—
1354C22×C4—3321no—
1355C22×C4—3321no—
1356C22×C4—3321no—
1357C22×C4—3321no—
1358C22×C4—3321no—
1359C22×C4—3321no—
1360C22×C4—3321no—
1361C22×C4—3321no—
1362C22×C4—3321no—
1363C22×C4—3321no—
1364C22×C4—3321no—
1365C22×C4—3321no—
1366C22×C4—3321no—
1367C22×C4—3321no—
1368C22×C4—3321no—
1369C22×C4—33216no—
1370C22×C4—3321no—
1371C22×C4—3321no—
1372C22×C4—834no—
1373C22×C4—834no—
1374C22×C4—834no—
1375C22×C4—834no—
1376C22×C4—831no—
1377C22×C4—834no—
1378C22×C4—831no—
1379C22×C4—831no—
1380C22×C4—831no—
1381C22×C4—834no—
1382C22×C4—834no—
1383C22×C4—831no—
1384C22×C4—831no—
1385C22×C4—831no—
1386C22×C4—831no—
1387C22×C4—831no—
1388C22×C4—831no—
1389C22×C4—831no—
1390C22×C4—831no—
1391C22×C4—1662no—
1392C22×C4—1662no—
1393C22×C4—1662no—
1394C22×C4—1662no—
1395C22×C4—1662no—
1396C22×C4—1662no—
1397C22×C4—1662no—
1398C22×C4—1662no—
1399C22×C4—1662no—
1400C22×C4—1662no—
1401C22×C4—1662no—
1402C22×C4D4×D8314yes—
1403C22×C4C23×D8311yescharacteristic
1404C22×C4C23×D8311yescharacteristic
1405C22×C4C23×D8311yescharacteristic
1406C22×C4C23×D8311yescharacteristic
1407C22×C4C23×D8311yescharacteristic
1408C22×C4C23×D8311yescharacteristic
1409C22×C4C23×D8311yescharacteristic
1410C22×C4C23×D8311yescharacteristic
1411C22×C4C23×D8311yescharacteristic
1412C22×C4C23×D8311yescharacteristic
1413C22×C4C23×D8311yescharacteristic
1414C22×C4C23×D8311yescharacteristic
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—3321no—
1422C4⋊C4—3321no—
1423C4⋊C4—3321no—
1424C4⋊C4—3321no—
1425C4⋊C4—3321no—
1426C4⋊C4—3321no—
1427C4⋊C4—1662no—
1428C4⋊C4—1662no—
1429C4⋊C4—1662no—
1430C4⋊C4—1662no—
1431C4⋊C4—1662no—
1432C4⋊C4—1662no—
1433C4⋊C4—1662no—
1434C4⋊C4—1662no—
1435C4⋊C4—1662no—
1436C4⋊C4—1662no—
1437C4⋊C4—1662no—
1438C4⋊C4—1662no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—3321no—
1453C22⋊C4—3321no—
1454C22⋊C4—3321no—
1455C22⋊C4—3321no—
1456C22⋊C4—3321no—
1457C22⋊C4—3321no—
1458C22⋊C4—3321no—
1459C22⋊C4—3321no—
1460C22⋊C4—3321no—
1461C22⋊C4—3321no—
1462C22⋊C4—3321no—
1463C22⋊C4—3321no—
1464C22⋊C4—1662no—
1465C22⋊C4—1662no—
1466C22⋊C4—1662no—
1467C22⋊C4—1662no—
1468C22⋊C4—1662no—
1469C22⋊C4—1662no—
1470C22⋊C4—1662no—
1471C22⋊C4—1662no—
1472C22⋊C4—1662no—
1473C22⋊C4—1662no—
1474C22⋊C4—1662no—
1475C22⋊C4—1662no—
1476C22⋊C4—1662no—
1477C22⋊C4—1662no—
1478C22⋊C4—1662no—
1479C22⋊C4—1662no—
1480C22⋊C4—1662no—
1481C22⋊C4—1662no—
1482C22⋊C4—1662no—
1483C22⋊C4—1662no—
1484C22⋊C4—1662no—
1485C22⋊C4—1662no—
1486C22⋊C4—1662no—
1487C22⋊C4—1662no—
1488C22⋊C4—1662no—
1489C22⋊C4—1662no—
1490C22⋊C4—1662no—
1491C42—22no—
1492C42—41no—
1493C42—41no—
1494C42—3321no—
1495C42—3321no—
1496C42—1662no—
1497C42—1662no—
1498C42—1662no—
1499C42—1662no—
1500C42—1662no—
1501C42—1662no—
1502C42—1662no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—3324no—
1524C23—3324no—
1525C23—3324no—
1526C23—3324no—
1527C23—3324no—
1528C23—3324no—
1529C23—832no—
1530C23—832no—
1531C23—832no—
1532C23—832no—
1533C23—1668no—
1534C23—1661no—
1535C23—1661no—
1536C23—1661no—
1537C23—1661no—
1538C23—1661no—
1539C23—1661no—
1540C23—1661no—
1541C23—1661no—
1542C23—1661no—
1543C23—1661no—
1544C23—1661no—
1545C23—1661no—
1546C23—1661no—
1547C23—1661no—
1548C23—1661no—
1549C23—1661no—
1550C23—1661no—
1551C23—1661no—
1552C23—1661no—
1553C23—1661no—
1554C23—1661no—
1555C23—1661no—
1556C23—1661no—
1557C23—1661no—
1558C23C2×D4×D8312yes—
1559C23C24×D8311yescharacteristic
1560Q8—3324no—
1561Q8—3324no—
1562D4—44no—
1563D4—44no—
1564D4—82no—
1565D4—3324no—
1566D4—3324no—
1567D4—3324no—
1568D4—3324no—
1569D4—3324no—
1570D4—3324no—
1571D4—3324no—
1572D4—3324no—
1573D4—3324no—
1574D4—3324no—
1575D4—3324no—
1576D4—3324no—
1577D4—6642no—
1578D4—6642no—
1579D4—6642no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—3324no—
1615C2×C4—3324no—
1616C2×C4—3324no—
1617C2×C4—3324no—
1618C2×C4—3324no—
1619C2×C4—3324no—
1620C2×C4—3324no—
1621C2×C4—3324no—
1622C2×C4—3324no—
1623C2×C4—832no—
1624C2×C4—832no—
1625C2×C4—832no—
1626C2×C4—832no—
1627C2×C4—832no—
1628C2×C4—832no—
1629C2×C4—1668no—
1630C2×C4—1668no—
1631C2×C4—1661no—
1632C2×C4—1661no—
1633C2×C4—1661no—
1634C2×C4—1661no—
1635C2×C4—1661no—
1636C2×C4—1661no—
1637C2×C4—1661no—
1638C2×C4—1661no—
1639C2×C4—1661no—
1640C2×C4—1661no—
1641C2×C4—1661no—
1642C2×C4—1661no—
1643C2×C4—1661no—
1644C2×C4—1661no—
1645C2×C4—1661no—
1646C2×C4—1661no—
1647C2×C4—1661no—
1648C2×C4—1661no—
1649C2×C4—1661no—
1650C2×C4—1661no—
1651C2×C4—1661no—
1652C2×C4—1661no—
1653C2×C4—1661no—
1654C2×C4—1661no—
1655C2×C4—1668no—
1656C2×C4—1661no—
1657C2×C4—1661no—
1658C2×C4—1661no—
1659C2×C4—1661no—
1660C2×C4—1661no—
1661C2×C4—1661no—
1662C2×C4C2×D4×D8312yes—
1663C2×C4C2×D4×D8312yes—
1664C2×C4#41×D8312yes—
1665C2×C4#41×D8312yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—33216no—
1688C22—3321no—
1689C22—3321no—
1690C22—3321no—
1691C22—3321no—
1692C22—3321no—
1693C22—3321no—
1694C22—3321no—
1695C22—3321no—
1696C22—3321no—
1697C22—3321no—
1698C22—3321no—
1699C22—3321no—
1700C22—3321no—
1701C22—3321no—
1702C22—3321no—
1703C22—3321no—
1704C22—3321no—
1705C22—3321no—
1706C22—834no—
1707C22—1662no—
1708C22—1662no—
1709C22—1662no—
1710C22—1662no—
1711C22—1662no—
1712C22—1662no—
1713C22—1662no—
1714C22—1662no—
1715C22—1662no—
1716C22C22×D4×D8311yescharacteristic
1717C22C2×#41×D8311yescharacteristic
1718C22C2×#41×D8311yescharacteristic
1719C22H(5,𝔽2)×D8311yescharacteristic
1720C22H(5,𝔽2)×D8311yescharacteristic
1721C22#1912853711yescharacteristic
1722C22#1912853711yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—3321no—
1736C4—3321no—
1737C4—3321no—
1738C4—3321no—
1739C4—3321no—
1740C4—3321no—
1741C4—3321no—
1742C4—3321no—
1743C4—834no—
1744C4—1662no—
1745C4—1662no—
1746C4—1662no—
1747C2—42no—
1748C2—81no—
1749C2—81no—
1750C2—3322no—
1751C2—6641no—
1752C2—6641no—
1753C2—1664no—
1754C2#532×D8311yescharacteristic
1755C2#534×D8311yescharacteristic
1756C2#2492079311yescharacteristic
1757C2#2492129411yescharacteristic
1758C2#2492129611yescharacteristic
1759C2#2492130911yescharacteristic
1760C2#2492131111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2602C2
hypercenter#2602D83
hypocenterC83#35032
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2602

Complements

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

NH ≅ G/Ntype
1. C2×#19128210C2semidirect
2. C2×#19128209C2semidirect
3. #24915814C2semidirect
4. #24915807C2semidirect
5. #24915761C2semidirect
6. #24915761C2semidirect
7. #24913202C2semidirect
8. #24913202C2semidirect
9. #24913198C2semidirect
10. #24913196C2semidirect
11. #24913082C2semidirect
12. #24913080C2semidirect
13. #24913077C2semidirect
14. #24913075C2semidirect
15. #24913074C2semidirect
16. #24913072C2semidirect
17. #24913069C2semidirect
18. #24911923C2semidirect
19. #24911920C2semidirect
20. #24911914C2semidirect
21. #24911911C2semidirect
22. #24911089C2semidirect
23. #24911086C2semidirect
24. #24911080C2semidirect
25. #24911077C2semidirect
26. #24910167C2semidirect
27. #24910165C2semidirect
28. #24910162C2semidirect
29. #24910160C2semidirect
30. C4×C22⋊C4×D83C2semidirect
31. C83×#2602C2semidirect
35. C2×#14581791C22semidirect
36. C2×#14581788C22semidirect
37. C2×#14581778C22semidirect
38. C2×#14581778C22semidirect
101. #19127605C22semidirect
102. #19127605C22semidirect
103. #19127605C22semidirect
104. #19127605C22semidirect
105. #19127603C22semidirect
106. #19127601C22semidirect
107. #19127601C22semidirect
108. #19127601C22semidirect
109. #19127601C22semidirect
110. #19127601C22semidirect
111. #19127601C22semidirect
112. #19127599C22semidirect
113. #19127596C22semidirect
114. #19127596C22semidirect
115. #19127595C22semidirect
116. #19127595C22semidirect
117. #19127595C22semidirect
118. #19127594C22semidirect
119. #19127593C22semidirect
120. #19127592C22semidirect
121. #19127592C22semidirect
122. #19127592C22semidirect
123. #19127591C22semidirect
124. #19127591C22semidirect
125. #19127591C22semidirect
126. #19127590C22semidirect
127. #19127589C22semidirect
128. #19127588C22semidirect
129. #19127587C22semidirect
130. #19127586C22semidirect
131. #19127585C22semidirect
132. #19127584C22semidirect
133. #19127583C22semidirect
134. #19127582C22semidirect
135. #19127581C22semidirect
136. #19127580C22semidirect
141. #19127579C22semidirect
142. #19127579C22semidirect
143. #19127578C22semidirect
148. #19127577C22semidirect
149. #19127577C22semidirect
150. #19127576C22semidirect
151. #19127575C22semidirect
152. #19127575C22semidirect
153. #19127574C22semidirect
154. #19127573C22semidirect
155. #19127572C22semidirect
156. #19127572C22semidirect
157. #19127570C22semidirect
158. #19127570C22semidirect
159. #19127565C22semidirect
160. #19127565C22semidirect
180. #390×C83C22semidirect
181. #389×C83C22semidirect
182. #388×C83C22semidirect
183. #388×C83C22semidirect
184. #388×C83C22semidirect
185. #387×C83C22semidirect
186. #386×C83C22semidirect
187. #385×C83C22semidirect
217. C22×C4×D83D4semidirect
502. C2×C4×D83#41semidirect
503. C2×C4×D83#41semidirect
898. #2602D83semidirect
912. C83#35032semidirect
999. #390C2×D83semidirect
1003. #389C2×D83semidirect
1017. #388C2×D83semidirect
1018. #388C2×D83semidirect
1019. #388C2×D83semidirect
1027. #387C2×D83semidirect
1043. #386C2×D83semidirect
1051. #385C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282102
C2×#191282092
#249158142
#249158072
#249157612
#249132022
#249131982
#249131962
#249130822
#249130802
#249130772
#249130752
#249130742
#249130722
#249130692
#249119232
#249119202
#249119142
#249119112
#249110892
#249110862
#249110802
#249110772
#249101672
#249101652
#249101622
#249101602
C4×C22⋊C4×D832
C83×#26022
#3503283