Finite Group Databasebeta

← #35611919

Subgroups — #35611919

Order 21248.

2440 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128302C211yesmaximal, characteristic, complemented
2#24915806C211yesmaximal, characteristic, complemented
3#24915792C211yesmaximal, characteristic, complemented
4#24914354C211yesmaximal, characteristic, complemented
5#24914255C211yesmaximal, characteristic, complemented
6#24913979C211yesmaximal, characteristic, complemented
7#24913811C211yesmaximal, characteristic, complemented
8#24913802C211yesmaximal, characteristic, complemented
9#24913784C211yesmaximal, characteristic, complemented
10#24913759C211yesmaximal, characteristic, complemented
11#24913753C211yesmaximal, characteristic, complemented
12#24913729C211yesmaximal, characteristic, complemented
13#24913725C211yesmaximal, characteristic, complemented
14#24913709C211yesmaximal, characteristic, complemented
15#24913695C211yesmaximal, characteristic, complemented
16#24913694C211yesmaximal, characteristic, complemented
17#24913680C211yesmaximal, characteristic, complemented
18#24913677C211yesmaximal, characteristic, complemented
19#24913667C211yesmaximal, characteristic, complemented
20#24913592C211yesmaximal, characteristic, complemented
21#24913591C211yesmaximal, characteristic, complemented
22#24913152C211yesmaximal, characteristic, complemented
23#24913092C211yesmaximal, characteristic, complemented
24#24913075C211yesmaximal, characteristic, complemented
25#24913062C211yesmaximal, characteristic, complemented
26#24912403C211yesmaximal, characteristic, complemented
27#24912394C211yesmaximal, characteristic, complemented
28#24910881C211yesmaximal, characteristic, complemented
29#24910848C211yesmaximal, characteristic, complemented
30#24909908C211yesmaximal, characteristic, complemented
31C2×#538×C83C211yesmaximal, characteristic, complemented
32#19128302—28no—
33C2×#14581788C2211yescharacteristic
34C2×#14581788C2211yescharacteristic
35C2×#14581783C2211yescharacteristic, complemented
36C2×#14581775C2211yescharacteristic
37C2×#14581775C2211yescharacteristic
38C2×#14581775C2211yescharacteristic
39C2×#14581775C2211yescharacteristic, complemented
40C2×#14581774C2211yescharacteristic
41C2×#14581774C2211yescharacteristic, complemented
42C2×#14581768C2211yescharacteristic, complemented
43C2×#14581768C2211yescharacteristic, complemented
44C2×#14581767C2211yescharacteristic, complemented
45C2×#14581766C2211yescharacteristic
46C2×#14581766C2211yescharacteristic, complemented
47C2×#14581766C2211yescharacteristic, complemented
48C2×#14581765C2211yescharacteristic
49C2×#14581765C2211yescharacteristic, complemented
50C2×#14581764C2211yescharacteristic
51C2×#14581764C2211yescharacteristic
52C2×#14581764C2211yescharacteristic
53C2×#14581764C2211yescharacteristic, complemented
54C2×#14581764C2211yescharacteristic, complemented
55C2×#14581763C2211yescharacteristic
56C2×#14581763C2211yescharacteristic
57C2×#14581763C2211yescharacteristic
58C2×#14581761C2211yescharacteristic
59C2×#14581761C2211yescharacteristic
60C2×#14581761C2211yescharacteristic
61C2×C4×D332C2211yescharacteristic, complemented
62C2×#14581751C2211yescharacteristic
63C2×#14581749C2211yescharacteristic, complemented
64C22×C4×Dic83C2211yescharacteristic, complemented
65#19127637C2211yescharacteristic
66#19127637C2211yescharacteristic
67#19127637C2211yescharacteristic
68#19127637C2211yescharacteristic, complemented
69#19127634C2211yescharacteristic, complemented
70#19127632C2211yescharacteristic, complemented
71#19127631C2211yescharacteristic, complemented
72#19127631C2211yescharacteristic, complemented
73#19127629C2211yescharacteristic
74#19127627C2211yescharacteristic, complemented
75#19127626C2211yescharacteristic
76#19127626C2211yescharacteristic
77#19127624C2211yescharacteristic
78#19127624C2211yescharacteristic
79#19127624C2211yescharacteristic
80#19127623C2211yescharacteristic, complemented
81#19127620C2211yescharacteristic, complemented
82#19127618C2211yescharacteristic, complemented
83#19127618C2211yescharacteristic, complemented
84#19127617C2211yescharacteristic
85#19127617C2211yescharacteristic
86#19127617C2211yescharacteristic
87#19127616C2211yescharacteristic
88#19127616C2211yescharacteristic
89#19127616C2211yescharacteristic
90#19127616C2211yescharacteristic, complemented
91#19127616C2211yescharacteristic, complemented
92#19127615C2211yescharacteristic
93#19127615C2211yescharacteristic
94#19127615C2211yescharacteristic
95#19127615C2211yescharacteristic
96#19127615C2211yescharacteristic, complemented
97#19127612C2211yescharacteristic, complemented
98#19127610C2211yescharacteristic
99#19127610C2211yescharacteristic
100#19127610C2211yescharacteristic
101#19127610C2211yescharacteristic
102#19127610C2211yescharacteristic
103#19127610C2211yescharacteristic, complemented
104#19127609C2211yescharacteristic
105#19127609C2211yescharacteristic
106#19127609C2211yescharacteristic
107#19127609C2211yescharacteristic
108#19127609C2211yescharacteristic
109#19127609C2211yescharacteristic
110#19127609C2211yescharacteristic
111#19127609C2211yescharacteristic
112#19127609C2211yescharacteristic, complemented
113#19127604C2211yescharacteristic
114#19127603C2211yescharacteristic, complemented
115#19127602C2211yescharacteristic, complemented
116#19127601C2211yescharacteristic
117#19127601C2211yescharacteristic
118#19127601C2211yescharacteristic
119#19127601C2211yescharacteristic
120#19127601C2211yescharacteristic
121#19127601C2211yescharacteristic
122#19127601C2211yescharacteristic
123#19127601C2211yescharacteristic, complemented
124#19127601C2211yescharacteristic, complemented
125#19127601C2211yescharacteristic, complemented
126#19127599C2211yescharacteristic, complemented
127#19127596C2211yescharacteristic, complemented
128#19127596C2211yescharacteristic, complemented
129#19127595C2211yescharacteristic
130#19127595C2211yescharacteristic
131#19127595C2211yescharacteristic
132#19127595C2211yescharacteristic, complemented
133#19127594C2211yescharacteristic
134#19127594C2211yescharacteristic
135#19127592C2211yescharacteristic, complemented
136#19127591C2211yescharacteristic, complemented
137#19127591C2211yescharacteristic, complemented
138#19127591C2211yescharacteristic, complemented
139#19127591C2211yescharacteristic, complemented
140#19127589C2211yescharacteristic
141#19127589C2211yescharacteristic
142#19127589C2211yescharacteristic, complemented
143#19127587C2211yescharacteristic, complemented
144#19127587C2211yescharacteristic, complemented
145#19127585C2211yescharacteristic, complemented
146#19127582C2211yescharacteristic, complemented
147#19127581C2211yescharacteristic
148#19127581C2211yescharacteristic
149#19127581C2211yescharacteristic
150#19127580C2211yescharacteristic
151#19127580C2211yescharacteristic, complemented
152#19127578C2211yescharacteristic, complemented
153#19127577C2211yescharacteristic
154#19127577C2211yescharacteristic
155#19127577C2211yescharacteristic
156#19127577C2211yescharacteristic
157#19127577C2211yescharacteristic, complemented
158#19127576C2211yescharacteristic, complemented
159#19127576C2211yescharacteristic, complemented
160#19127574C2211yescharacteristic
161#19127574C2211yescharacteristic, complemented
162#19127572C2211yescharacteristic, complemented
163#19127572C2211yescharacteristic, complemented
164#19127572C2211yescharacteristic, complemented
165#19127570C2211yescharacteristic, complemented
166#19127561C2211yescharacteristic, complemented
167#19127559C2211yescharacteristic, complemented
168#19127557C2211yescharacteristic
169C4×C4⋊Dic83C2211yescharacteristic, complemented
170C4×C22⋊Dic83C2211yescharacteristic
171C4×C22⋊Dic83C2211yescharacteristic, complemented
172#19127547C2211yescharacteristic, complemented
173#538×C83—28no—
174C2×#126×C83C2211yescharacteristic
175C2×#126×C83C2211yescharacteristic
176C2×#124×C83C2211yescharacteristic
177C2×#124×C83C2211yescharacteristic
178C2×#123×C83C2211yescharacteristic
179C2×#123×C83C2211yescharacteristic
180C2×C22⋊Q8×C83C2211yescharacteristic
181C2×#121×C83C2211yescharacteristic
182C2×#121×C83C2211yescharacteristic
183C2×#121×C83C2211yescharacteristic
184C2×#120×C83C2211yescharacteristic
185C2×#120×C83C2211yescharacteristic
186C2×C4×D4×C83C2211yescharacteristic
187C2×C4×D4×C83C2211yescharacteristic
188C22×C22⋊C4×C83C2211yescharacteristic
189C22×D332C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C22×C22⋊D83C2311yescharacteristic
206C22×C22⋊D83C2311yescharacteristic
207C23×Dic83C2311yescharacteristic
208C23×Dic83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212#14581788—24no—
213#14581788—42no—
214#14581783—24no—
215#14581775—24no—
216#14581775—24no—
217#14581775—42no—
218#14581775—42no—
219#14581774—24no—
220#14581774—24no—
221#14581768—42no—
222#14581768—42no—
223#14581767—24no—
224#14581766—24no—
225#14581766—24no—
226#14581766—42no—
227#14581765—24no—
228#14581765—24no—
229#14581764—42no—
230#14581764—42no—
231#14581764—42no—
232#14581764—42no—
233#14581764—42no—
234#14581763—24no—
235#14581763—42no—
236#14581763—42no—
237#14581761—42no—
238#14581761—42no—
239#14581761—42no—
240C4×D332—24no—
241#14581751—42no—
242#14581749—24no—
243C2×C4⋊Dic83C2311yescharacteristic
244C2×C4⋊Dic83C2311yescharacteristic
245C2×C4⋊Dic83C2311yescharacteristic
246C2×C4⋊Dic83C2311yescharacteristic
247C2×C4⋊Dic83C2311yescharacteristic
248C2×C4⋊Dic83C2311yescharacteristic
249C2×C4⋊Dic83C2311yescharacteristic
250C2×Dic83⋊C4C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×Dic83⋊C4C2311yescharacteristic
256C2×Dic83⋊C4C2311yescharacteristic
257C2×Dic83⋊C4C2311yescharacteristic
258C2×Dic83⋊C4C2311yescharacteristic
259C2×Dic83⋊C4C2311yescharacteristic
260C2×Dic83⋊C4C2311yescharacteristic
261C2×Dic83⋊C4C2311yescharacteristic
262C2×Dic83⋊C4C2311yescharacteristic
263C2×Dic83⋊C4C2311yescharacteristic
264C2×Dic83⋊C4C2311yescharacteristic
265C2×C22⋊Dic83C2311yescharacteristic
266C2×C22⋊Dic83C2311yescharacteristic
267C2×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×C22⋊Dic83C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×C22⋊Dic83C2311yescharacteristic
272C2×C22⋊Dic83C2311yescharacteristic
273C2×C22⋊Dic83C2311yescharacteristic
274C2×C22⋊Dic83C2311yescharacteristic
275C2×C22⋊Dic83C2311yescharacteristic
276C2×C22⋊Dic83C2311yescharacteristic
277C2×C22⋊Dic83C2311yescharacteristic
278C2×C22⋊Dic83C2311yescharacteristic
279C2×C22⋊Dic83C2311yescharacteristic
280C2×C22⋊Dic83C2311yescharacteristic
281C2×C22⋊Dic83C2311yescharacteristic
282C2×C22⋊Dic83C2311yescharacteristic
283C2×C22⋊Dic83C2311yescharacteristic
284C2×C22⋊Dic83C2311yescharacteristic
285C2×C22⋊Dic83C2311yescharacteristic
286C2×C22⋊Dic83C2311yescharacteristic
287C2×C22⋊Dic83C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C2×(C2×D83)⋊C4C2311yescharacteristic
298C2×(C2×D83)⋊C4C2311yescharacteristic
299C2×(C2×D83)⋊C4C2311yescharacteristic
300C2×(C2×D83)⋊C4C2311yescharacteristic
301C2×(C2×D83)⋊C4C2311yescharacteristic
302C2×(C2×D83)⋊C4C2311yescharacteristic
303C2×(C2×D83)⋊C4C2311yescharacteristic
304C2×(C2×D83)⋊C4C2311yescharacteristic
305C2×(C2×D83)⋊C4C2311yescharacteristic
306C2×(C2×D83)⋊C4C2311yescharacteristic
307C2×(C2×D83)⋊C4C2311yescharacteristic
308C2×(C2×D83)⋊C4C2311yescharacteristic
309C2×C4×Dic83—42no—
310C2×C4×Dic83C2311yescharacteristic
311C2×C4×Dic83C2311yescharacteristic
312C2×C4×Dic83C2311yescharacteristic
313C2×C4×Dic83C2311yescharacteristic
314C2×C4×Dic83C2311yescharacteristic
315C2×C4×Dic83C2311yescharacteristic
316C2×C4×Dic83C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C83⋊#95C2311yescharacteristic
341C25×C83C2311yescharacteristic
342C22×Q8×C83C2311yescharacteristic
343C22×D4×C83C2311yescharacteristic
344C22×D4×C83C2311yescharacteristic
345C22×D4×C83C2311yescharacteristic
346C22×D4×C83C2311yescharacteristic
347C22×D4×C83C2311yescharacteristic
348C22×D4×C83C2311yescharacteristic
349C22×D4×C83C2311yescharacteristic
350C23×C4×C83C2311yescharacteristic
351C23×C4×C83C2311yescharacteristic
352C23×C4×C83C2311yescharacteristic
353C23×C4×C83C2311yescharacteristic
354#126×C83—24no—
355#126×C83—24no—
356#124×C83—24no—
357#124×C83—24no—
358#123×C83—24no—
359#123×C83—24no—
360C22⋊Q8×C83—24no—
361#121×C83—24no—
362#121×C83—24no—
363#121×C83—24no—
364#120×C83—24no—
365#120×C83—24no—
366C4×D4×C83—24no—
367C4×D4×C83D418yescomplemented
368C2×C4⋊C4×C83C2311yescharacteristic
369C2×C4⋊C4×C83C2311yescharacteristic
370C2×C4⋊C4×C83C2311yescharacteristic
371C2×C4⋊C4×C83C2311yescharacteristic
372C2×C4⋊C4×C83C2311yescharacteristic
373C2×C4⋊C4×C83C2311yescharacteristic
374C2×C22⋊C4×C83—24no—
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×C22⋊C4×C83C2311yescharacteristic
385C2×C22⋊C4×C83C2311yescharacteristic
386C2×C22⋊C4×C83C2311yescharacteristic
387C2×C22⋊C4×C83C2311yescharacteristic
388C2×C22⋊C4×C83C2311yescharacteristic
389C2×C42×C83C2311yescharacteristic
390C2×C42×C83C2311yescharacteristic
391C23×D83C2411yescharacteristic
392C23×D83C2411yescharacteristic
393C23×D83C2411yescharacteristic
394C2×D332—22no—
395C2×D332—22no—
396C2×D332—22no—
397C2×D332—41no—
398C2×D332—41no—
399C2×D332—41no—
400C2×D332—41no—
401C2×D332—41no—
402C2×D332—41no—
403C2×C22⋊D83—22no—
404C2×C22⋊D83—22no—
405C2×C22⋊D83—22no—
406C2×C22⋊D83—22no—
407C2×C22⋊D83—22no—
408C2×C22⋊D83—22no—
409C2×C22⋊D83—22no—
410C2×C22⋊D83—22no—
411C2×C22⋊D83—22no—
412C2×C22⋊D83—22no—
413C2×C22⋊D83—22no—
414C2×C22⋊D83—41no—
415C2×C22⋊D83—41no—
416C2×C22⋊D83—41no—
417C2×C22⋊D83—41no—
418C2×C22⋊D83—41no—
419C2×C22⋊D83—41no—
420C2×C22⋊D83—41no—
421C2×C22⋊D83—41no—
422C2×C22⋊D83—41no—
423C2×C22⋊D83—41no—
424C2×C22⋊D83—41no—
425C2×C22⋊D83—41no—
426C2×C22⋊D83—41no—
427C2×C22⋊D83—41no—
428C2×C22⋊D83—41no—
429C2×C22⋊D83—41no—
430C2×C22⋊D83—41no—
431C2×C22⋊D83—41no—
432C2×C22⋊D83—41no—
433C2×C22⋊D83—41no—
434C2×C22⋊D83—41no—
435C2×C22⋊D83—41no—
436C2×C22⋊D83—41no—
437C2×C22⋊D83—41no—
438C2×C22⋊D83—41no—
439C2×C22⋊D83—41no—
440C2×C22⋊D83—41no—
441C2×C22⋊D83—41no—
442C2×C22⋊D83—41no—
443C2×C22⋊D83—41no—
444C2×C22⋊D83—41no—
445C2×C22⋊D83—41no—
446C2×C22⋊D83—41no—
447C2×C22⋊D83—41no—
448C22×Dic83—22no—
449C22×Dic83—22no—
450C22×Dic83—22no—
451C22×Dic83—41no—
452C22×Dic83—41no—
453C22×Dic83—41no—
454C22×Dic83C2411yescharacteristic
455C22×Dic83C2411yescharacteristic
456C22×Dic83C2411yescharacteristic
457C22×Dic83C2411yescharacteristic
458C22×Dic83C2411yescharacteristic
459C22×Dic83C2411yescharacteristic
460C22×Dic83C2411yescharacteristic
461C22×Dic83C2411yescharacteristic
462C22×Dic83C2411yescharacteristic
463C22×Dic83C2411yescharacteristic
464C22×Dic83C2411yescharacteristic
465C22×Dic83C2411yescharacteristic
466C22×Dic83C2411yescharacteristic
467C2×C4×D83—22no—
468C2×C4×D83—22no—
469C2×C4×D83—22no—
470C2×C4×D83—41no—
471C2×C4×D83—41no—
472C2×C4×D83—41no—
473C2×C4×D83—41no—
474C2×C4×D83—41no—
475C2×C4×D83—41no—
476C4⋊Dic83—22no—
477C4⋊Dic83—22no—
478C4⋊Dic83—22no—
479C4⋊Dic83—22no—
480C4⋊Dic83—22no—
481C4⋊Dic83—22no—
482C4⋊Dic83—41no—
483Dic83⋊C4—22no—
484Dic83⋊C4—22no—
485Dic83⋊C4—22no—
486Dic83⋊C4—22no—
487Dic83⋊C4—22no—
488Dic83⋊C4—22no—
489Dic83⋊C4—22no—
490Dic83⋊C4—41no—
491Dic83⋊C4—41no—
492Dic83⋊C4—41no—
493Dic83⋊C4—41no—
494Dic83⋊C4—41no—
495Dic83⋊C4—41no—
496Dic83⋊C4—41no—
497Dic83⋊C4—41no—
498C22⋊Dic83—22no—
499C22⋊Dic83—22no—
500C22⋊Dic83—22no—
501C22⋊Dic83—22no—
502C22⋊Dic83—22no—
503C22⋊Dic83—22no—
504C22⋊Dic83—22no—
505C22⋊Dic83—22no—
506C22⋊Dic83—22no—
507C22⋊Dic83—41no—
508C22⋊Dic83—41no—
509C22⋊Dic83—41no—
510C22⋊Dic83—41no—
511C22⋊Dic83—41no—
512C22⋊Dic83—41no—
513C22⋊Dic83—41no—
514C22⋊Dic83—41no—
515C22⋊Dic83—41no—
516C22⋊Dic83—41no—
517C22⋊Dic83—41no—
518C22⋊Dic83—41no—
519C22⋊Dic83—41no—
520C22⋊Dic83—41no—
521(C2×D83)⋊C4—22no—
522(C2×D83)⋊C4—22no—
523(C2×D83)⋊C4—22no—
524(C2×D83)⋊C4—22no—
525(C2×D83)⋊C4—22no—
526(C2×D83)⋊C4—22no—
527(C2×D83)⋊C4—22no—
528(C2×D83)⋊C4—22no—
529(C2×D83)⋊C4—22no—
530(C2×D83)⋊C4—22no—
531(C2×D83)⋊C4—41no—
532(C2×D83)⋊C4—41no—
533(C2×D83)⋊C4—41no—
534(C2×D83)⋊C4—41no—
535(C2×D83)⋊C4—41no—
536(C2×D83)⋊C4—41no—
537(C2×D83)⋊C4—41no—
538(C2×D83)⋊C4—41no—
539(C2×D83)⋊C4—41no—
540(C2×D83)⋊C4—41no—
541(C2×D83)⋊C4—41no—
542C4×Dic83—22no—
543C4×Dic83—22no—
544C4×Dic83—22no—
545C4×Dic83—41no—
546C4×Dic83—41no—
547C4×Dic83—41no—
548C4×Dic83—41no—
549C24×C83—22no—
550C24×C83—41no—
551C24×C83—41no—
552C24×C83—41no—
553C24×C83—41no—
554C24×C83—41no—
555C24×C83—41no—
556C24×C83C2411yescharacteristic
557C24×C83C2411yescharacteristic
558C24×C83C2411yescharacteristic
559C24×C83C2411yescharacteristic
560C24×C83C2411yescharacteristic
561C2×Q8×C83—22no—
562C2×Q8×C83—41no—
563C2×Q8×C83—41no—
564C2×D4×C83—22no—
565C2×D4×C83—22no—
566C2×D4×C83—22no—
567C2×D4×C83—22no—
568C2×D4×C83—22no—
569C2×D4×C83—22no—
570C2×D4×C83—41no—
571C2×D4×C83—41no—
572C2×D4×C83—41no—
573C2×D4×C83—41no—
574C2×D4×C83—41no—
575C2×D4×C83—41no—
576C2×D4×C83—41no—
577C2×D4×C83—41no—
578C2×D4×C83—41no—
579C2×D4×C83—41no—
580C2×D4×C83—41no—
581C2×D4×C83—41no—
582C2×D4×C83—41no—
583C2×D4×C83—41no—
584C2×D4×C83C2×D414yes—
585C22×C4×C83—22no—
586C22×C4×C83—22no—
587C22×C4×C83—41no—
588C22×C4×C83—41no—
589C22×C4×C83—41no—
590C22×C4×C83—41no—
591C22×C4×C83—41no—
592C22×C4×C83—41no—
593C22×C4×C83—41no—
594C22×C4×C83—41no—
595C22×C4×C83C2×D414yes—
596C22×C4×C83C2×D414yes—
597C22×C4×C83C2411yescharacteristic
598C22×C4×C83C2411yescharacteristic
599C22×C4×C83C2411yescharacteristic
600C22×C4×C83C2411yescharacteristic
601C22×C4×C83C2411yescharacteristic
602C22×C4×C83C2411yescharacteristic
603C22×C4×C83C2411yescharacteristic
604C22×C4×C83C2411yescharacteristic
605C22×C4×C83C2411yescharacteristic
606C22×C4×C83C2411yescharacteristic
607C4⋊C4×C83—22no—
608C4⋊C4×C83—22no—
609C4⋊C4×C83—22no—
610C4⋊C4×C83—22no—
611C4⋊C4×C83—22no—
612C4⋊C4×C83C2×D414yes—
613C22⋊C4×C83—22no—
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—22no—
623C22⋊C4×C83—22no—
624C22⋊C4×C83—22no—
625C22⋊C4×C83C2×D414yes—
626C22⋊C4×C83C2×D414yes—
627C42×C83—22no—
628C42×C83C2×D414yes—
629C23×C83—21no—
630C23×C83—21no—
631C23×C83—21no—
632C23×C83—21no—
633C23×C83—21no—
634C23×C83—21no—
635C23×C83—21no—
636C23×C83—21no—
637C23×C83—21no—
638C23×C83—21no—
639C23×C83—21no—
640C23×C83—21no—
641C23×C83—21no—
642C23×C83—21no—
643C23×C83—21no—
644C23×C83—21no—
645C23×C83—21no—
646C23×C83—21no—
647C23×C83—21no—
648C23×C83—21no—
649C23×C83—21no—
650C23×C83—21no—
651C23×C83—21no—
652C23×C83—21no—
653C23×C83—21no—
654C23×C83—21no—
655C23×C83—21no—
656C23×C83—21no—
657C23×C83—21no—
658C23×C83—21no—
659C23×C83—21no—
660C23×C83—21no—
661C23×C83—21no—
662C23×C83—44no—
663C23×C83—82no—
664C23×C83—82no—
665C23×C83—82no—
666C23×C83—82no—
667C23×C83—82no—
668C23×C83—82no—
669C23×C83C22×D412yes—
670C23×C83C22×D412yes—
671C23×C83C2511yescharacteristic
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—
693Q8×C83—82no—
694D4×C83—44no—
695D4×C83—44no—
696D4×C83—82no—
697D4×C83—82no—
698D4×C83—82no—
699D4×C83—82no—
700D4×C83—82no—
701C2×C4×C83—21no—
702C2×C4×C83—21no—
703C2×C4×C83—21no—
704C2×C4×C83—21no—
705C2×C4×C83—21no—
706C2×C4×C83—21no—
707C2×C4×C83—21no—
708C2×C4×C83—21no—
709C2×C4×C83—21no—
710C2×C4×C83—21no—
711C2×C4×C83—21no—
712C2×C4×C83—21no—
713C2×C4×C83—21no—
714C2×C4×C83—21no—
715C2×C4×C83—21no—
716C2×C4×C83—21no—
717C2×C4×C83—21no—
718C2×C4×C83—21no—
719C2×C4×C83—21no—
720C2×C4×C83—21no—
721C2×C4×C83—21no—
722C2×C4×C83—21no—
723C2×C4×C83—21no—
724C2×C4×C83—21no—
725C2×C4×C83—21no—
726C2×C4×C83—44no—
727C2×C4×C83—44no—
728C2×C4×C83—82no—
729C2×C4×C83—82no—
730C2×C4×C83C22×D412yes—
731C2×C4×C83C22×D412yes—
732C2×C4×C83C22×D412yes—
733C2×C4×C83C22×D412yes—
734C2×C4×C83C22×D412yes—
735C22⋊D83—82no—
736C22⋊D83—82no—
737C22⋊D83—82no—
738C22⋊D83—82no—
739C22⋊D83—82no—
740C22⋊D83—82no—
741C22⋊D83—82no—
742C22⋊D83—82no—
743C22⋊D83—82no—
744C22⋊D83—82no—
745C22⋊D83—82no—
746C22⋊D83—82no—
747C22⋊D83—82no—
748C22⋊D83—82no—
749C22⋊D83—82no—
750C2×Dic83—21no—
751C2×Dic83—21no—
752C2×Dic83—21no—
753C2×Dic83—21no—
754C2×Dic83—21no—
755C2×Dic83—21no—
756C2×Dic83—21no—
757C2×Dic83—21no—
758C2×Dic83—21no—
759C2×Dic83—21no—
760C2×Dic83—21no—
761C2×Dic83—21no—
762C2×Dic83—21no—
763C2×Dic83—21no—
764C2×Dic83—21no—
765C2×Dic83—21no—
766C2×Dic83—21no—
767C2×Dic83—21no—
768C2×Dic83—21no—
769C2×Dic83—21no—
770C2×Dic83—21no—
771C2×Dic83—21no—
772C2×Dic83—21no—
773C2×Dic83—21no—
774C2×Dic83—21no—
775C2×Dic83—21no—
776C2×Dic83—21no—
777C2×Dic83—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—44no—
787C2×Dic83—44no—
788C2×Dic83H(5,𝔽2)12yes—
789C2×Dic83H(5,𝔽2)12yes—
790C2×Dic83H(5,𝔽2)12yes—
791D332—44no—
792D332—82no—
793D332—82no—
794C4×D83—44no—
795C4×D83—82no—
796C4×D83—82no—
797C22×C83—22no—
798C22×C83—22no—
799C22×C83—22no—
800C22×C83—22no—
801C22×C83—22no—
802C22×C83—22no—
803C22×C83—41no—
804C22×C83—41no—
805C22×C83—41no—
806C22×C83—41no—
807C22×C83—41no—
808C22×C83—41no—
809C22×C83—41no—
810C22×C83—41no—
811C22×C83—41no—
812C22×C83—41no—
813C22×C83—41no—
814C22×C83—41no—
815C22×C83—41no—
816C22×C83—41no—
817C22×C83—41no—
818C22×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—88no—
833C22×C83C23×D411yescharacteristic
834C22×C83C2×H(5,𝔽2)11yescharacteristic
835C22×C83C2×H(5,𝔽2)11yescharacteristic
836C22×C83C2×H(5,𝔽2)11yescharacteristic
837C22×C83#58511yescharacteristic
838C22×C83#58511yescharacteristic
839C22×C83#58511yescharacteristic
840C2×D83—41no—
841C2×D83—41no—
842C2×D83—41no—
843C2×D83—41no—
844C2×D83—41no—
845C2×D83—41no—
846C2×D83—41no—
847C2×D83—41no—
848C2×D83—41no—
849C2×D83—41no—
850C2×D83—41no—
851C2×D83—41no—
852C2×D83—41no—
853C2×D83—41no—
854C2×D83—41no—
855C2×D83—41no—
856C2×D83—41no—
857C2×D83—41no—
858C2×D83—41no—
859C2×D83—41no—
860C2×D83—41no—
861C4×C83—22no—
862C4×C83—22no—
863C4×C83—22no—
864C4×C83—22no—
865C4×C83—22no—
866C4×C83—41no—
867C4×C83—41no—
868C4×C83—41no—
869C4×C83—41no—
870C4×C83—41no—
871Dic83—22no—
872Dic83—22no—
873Dic83—22no—
874Dic83—41no—
875Dic83—41no—
876Dic83—41no—
877Dic83—41no—
878Dic83—41no—
879Dic83—41no—
880Dic83—41no—
881Dic83—41no—
882Dic83—41no—
883Dic83—41no—
884#36744—831nomaximal, Sylow
885C2×C83—42no—
886C2×C83—42no—
887C2×C83—81no—
888C2×C83—81no—
889C2×C83—81no—
890C2×C83#344911yescharacteristic
891C2×C83#349611yescharacteristic
892C2×C83#349811yescharacteristic
893C2×C83#353411yescharacteristic
894C2×C83#354211yescharacteristic
895C2×C83#355111yescharacteristic
896C2×C83#356211yescharacteristic
897D83—81no—
898D83—81no—
899D83—81no—
900C2×#540—831no—
901C2×#538D8311yescharacteristic, complemented
902#2856—831no—
903#2854—831no—
904#2721—831no—
905#2714—831no—
906#2694—831no—
907#2681—831no—
908#2680—831no—
909#2678—831no—
910#2676—831no—
911#2675—831no—
912#2673—831no—
913#2673—831no—
914#2672—831no—
915#2671—831no—
916#2671—831no—
917#2669—831no—
918#2669—831no—
919#2668—831no—
920#2661—831no—
921#2661—831no—
922#2610—831no—
923#2603—831no—
924#2602—831no—
925#2601—831no—
926#2540—831no—
927#2539—831no—
928#2414—831no—
929#2411—831no—
930#2290—831no—
931C83#3674411yescharacteristic, complemented, Sylow
932#540—1668no—
933#538—28no—
934C2×#127—831no—
935C2×#127—831no—
936C2×#126C2×D8311yescharacteristic
937C2×#126C2×D8311yescharacteristic
938C2×#125—831no—
939C2×#124C2×D8311yescharacteristic
940C2×#124C2×D8311yescharacteristic
941C2×#123—831no—
942C2×#123—831no—
943C2×#123—831no—
944C2×#123—831no—
945C2×#123—831no—
946C2×#123—831no—
947C2×#123C2×D8311yescharacteristic
948C2×#123C2×D8311yescharacteristic
949C2×C22⋊Q8—831no—
950C2×C22⋊Q8—831no—
951C2×C22⋊Q8C2×D8311yescharacteristic
952C2×#121—831no—
953C2×#121—831no—
954C2×#121—831no—
955C2×#121—831no—
956C2×#121—831no—
957C2×#121—831no—
958C2×#121—831no—
959C2×#121—831no—
960C2×#121—831no—
961C2×#121—831no—
962C2×#121—831no—
963C2×#121—831no—
964C2×#121—831no—
965C2×#121—831no—
966C2×#121C2×D8311yescharacteristic
967C2×#121C2×D8311yescharacteristic
968C2×#121C2×D8311yescharacteristic
969C2×#120—831no—
970C2×#120—831no—
971C2×#120—831no—
972C2×#120C2×D8311yescharacteristic
973C2×#120C2×D8311yescharacteristic
974C2×C4×D4—831no—
975C2×C4×D4C2×D8311yescharacteristic
976C2×C4×D4C2×D8311yescharacteristic
977C2×#117—831no—
978C2×#117—831no—
979C22×C22⋊C4C2×D8311yescharacteristic
980C22×C42—831no—
981#399—831no—
982#399—831no—
983#399—831no—
984#399—831no—
985#398—831no—
986#398—831no—
987#398—831no—
988#398—831no—
989#397—831no—
990#397—831no—
991#397—831no—
992#397—831no—
993#396—831no—
994#396—831no—
995#396—831no—
996#396—831no—
997#395—831no—
998#394—831no—
999#394—831no—
1000#394—831no—
1001#394—831no—
1002#394—831no—
1003#394—831no—
1004#394—831no—
1005#394—831no—
1006#394—831no—
1007#394—831no—
1008#394—831no—
1009#394—831no—
1010#394—831no—
1011#394—831no—
1012#394—831no—
1013#393—831no—
1014#392—831no—
1015#392—831no—
1016#392—831no—
1017#392—831no—
1018#392—831no—
1019#392—831no—
1020#392—831no—
1021#392—831no—
1022#392—831no—
1023#392—831no—
1024#392—831no—
1025#392—831no—
1026#392—831no—
1027#392—831no—
1028#392—831no—
1029#390—831no—
1030#390—831no—
1031#390—831no—
1032#390—831no—
1033#390—831no—
1034#390—831no—
1035#390—831no—
1036#390—831no—
1037#390—831no—
1038#390—831no—
1039#390—831no—
1040#390—831no—
1041#390—831no—
1042#389—831no—
1043#389—831no—
1044#389—831no—
1045#388—831no—
1046#388—831no—
1047#388—831no—
1048#388—831no—
1049#388—831no—
1050#388—831no—
1051#388—831no—
1052#388—831no—
1053#388—831no—
1054#388—831no—
1055#388—831no—
1056#388—831no—
1057#388—831no—
1058#388—831no—
1059#387—831no—
1060#387—831no—
1061#387—831no—
1062#387—831no—
1063#386—831no—
1064#386—831no—
1065#386—831no—
1066#386—831no—
1067#386—831no—
1068#386—831no—
1069#386—831no—
1070#386—831no—
1071#386—831no—
1072#386—831no—
1073#386—831no—
1074#385—831no—
1075#385—831no—
1076#385—831no—
1077#385—831no—
1078#385—831no—
1079#385—831no—
1080#385—831no—
1081#384—831no—
1082#380—831no—
1083#380—831no—
1084#379—831no—
1085C4×C4⋊C4—831no—
1086C4×C22⋊C4—831no—
1087C4×C22⋊C4—831no—
1088#376—831no—
1089C25C22×D8311yescharacteristic
1090C22×Q8C22×D8311yescharacteristic
1091C22×D4—831no—
1092C22×D4—831no—
1093C22×D4—831no—
1094C22×D4—831no—
1095C22×D4—831no—
1096C22×D4—831no—
1097C22×D4—831no—
1098C22×D4—831no—
1099C22×D4—831no—
1100C22×D4—831no—
1101C22×D4—831no—
1102C22×D4—831no—
1103C22×D4—831no—
1104C22×D4—831no—
1105C22×D4—831no—
1106C22×D4—831no—
1107C22×D4—831no—
1108C22×D4—831no—
1109C22×D4C22×D8311yescharacteristic
1110C22×D4C22×D8311yescharacteristic
1111C22×D4C22×D8311yescharacteristic
1112C22×D4C22×D8311yescharacteristic
1113C22×D4C22×D8311yescharacteristic
1114C22×D4C22×D8311yescharacteristic
1115C22×D4C22×D8311yescharacteristic
1116C23×C4—831no—
1117C23×C4—831no—
1118C23×C4—831no—
1119C23×C4—831no—
1120C23×C4—831no—
1121C23×C4C22×D8311yescharacteristic
1122C23×C4C22×D8311yescharacteristic
1123C23×C4C22×D8311yescharacteristic
1124C23×C4C22×D8311yescharacteristic
1125#127—3322no—
1126#127—1664no—
1127#126—24no—
1128#126—24no—
1129#125—1664no—
1130#124—24no—
1131#124—24no—
1132#123—24no—
1133#123—24no—
1134#123—3322no—
1135#123—3322no—
1136#123—1664no—
1137#123—1664no—
1138#123—1664no—
1139#123—1664no—
1140C22⋊Q8—24no—
1141C22⋊Q8—3322no—
1142C22⋊Q8—3322no—
1143#121—24no—
1144#121—24no—
1145#121—24no—
1146#121—3322no—
1147#121—3322no—
1148#121—3322no—
1149#121—3322no—
1150#121—3322no—
1151#121—3322no—
1152#121—3322no—
1153#121—3322no—
1154#121—1664no—
1155#121—1664no—
1156#121—1664no—
1157#121—1664no—
1158#121—1664no—
1159#121—1664no—
1160#120—24no—
1161#120—24no—
1162#120—3322no—
1163#120—3322no—
1164#120—3322no—
1165C4×D4—24no—
1166C4×D4—1664no—
1167C4×D4C22⋊D8318yescomplemented
1168#117—3322no—
1169#117—1664no—
1170C2×C4⋊C4—831no—
1171C2×C4⋊C4—831no—
1172C2×C4⋊C4—831no—
1173C2×C4⋊C4—831no—
1174C2×C4⋊C4—831no—
1175C2×C4⋊C4—831no—
1176C2×C4⋊C4—831no—
1177C2×C4⋊C4—831no—
1178C2×C4⋊C4—831no—
1179C2×C4⋊C4—831no—
1180C2×C4⋊C4—831no—
1181C2×C4⋊C4—831no—
1182C2×C4⋊C4—831no—
1183C2×C4⋊C4—831no—
1184C2×C4⋊C4—831no—
1185C2×C4⋊C4—831no—
1186C2×C4⋊C4—831no—
1187C2×C4⋊C4—831no—
1188C2×C4⋊C4—831no—
1189C2×C4⋊C4—831no—
1190C2×C4⋊C4—831no—
1191C2×C4⋊C4—831no—
1192C2×C4⋊C4C22×D8311yescharacteristic
1193C2×C4⋊C4C22×D8311yescharacteristic
1194C2×C4⋊C4C22×D8311yescharacteristic
1195C2×C4⋊C4C22×D8311yescharacteristic
1196C2×C4⋊C4C22×D8311yescharacteristic
1197C2×C4⋊C4C22×D8311yescharacteristic
1198C2×C22⋊C4—24no—
1199C2×C22⋊C4—831no—
1200C2×C22⋊C4—831no—
1201C2×C22⋊C4—831no—
1202C2×C22⋊C4—831no—
1203C2×C22⋊C4—831no—
1204C2×C22⋊C4—831no—
1205C2×C22⋊C4—831no—
1206C2×C22⋊C4—831no—
1207C2×C22⋊C4—831no—
1208C2×C22⋊C4—831no—
1209C2×C22⋊C4—831no—
1210C2×C22⋊C4—831no—
1211C2×C22⋊C4—831no—
1212C2×C22⋊C4—831no—
1213C2×C22⋊C4—831no—
1214C2×C22⋊C4—831no—
1215C2×C22⋊C4—831no—
1216C2×C22⋊C4—831no—
1217C2×C22⋊C4—831no—
1218C2×C22⋊C4—831no—
1219C2×C22⋊C4—831no—
1220C2×C22⋊C4—831no—
1221C2×C22⋊C4—831no—
1222C2×C22⋊C4—831no—
1223C2×C22⋊C4—831no—
1224C2×C22⋊C4—831no—
1225C2×C22⋊C4—831no—
1226C2×C22⋊C4—831no—
1227C2×C22⋊C4—831no—
1228C2×C22⋊C4—831no—
1229C2×C22⋊C4—831no—
1230C2×C22⋊C4—831no—
1231C2×C22⋊C4—831no—
1232C2×C22⋊C4—831no—
1233C2×C22⋊C4—831no—
1234C2×C22⋊C4—831no—
1235C2×C22⋊C4—831no—
1236C2×C22⋊C4—831no—
1237C2×C22⋊C4—831no—
1238C2×C22⋊C4—831no—
1239C2×C22⋊C4—831no—
1240C2×C22⋊C4—831no—
1241C2×C22⋊C4—831no—
1242C2×C22⋊C4—831no—
1243C2×C22⋊C4C22×D8311yescharacteristic
1244C2×C22⋊C4C22×D8311yescharacteristic
1245C2×C22⋊C4C22×D8311yescharacteristic
1246C2×C22⋊C4C22×D8311yescharacteristic
1247C2×C22⋊C4C22×D8311yescharacteristic
1248C2×C22⋊C4C22×D8311yescharacteristic
1249C2×C22⋊C4C22×D8311yescharacteristic
1250C2×C22⋊C4C22×D8311yescharacteristic
1251C2×C22⋊C4C22×D8311yescharacteristic
1252C2×C22⋊C4C22×D8311yescharacteristic
1253C2×C22⋊C4C22×D8311yescharacteristic
1254C2×C22⋊C4C22×D8311yescharacteristic
1255C2×C22⋊C4C22×D8311yescharacteristic
1256C2×C22⋊C4C22×D8311yescharacteristic
1257C2×C42—3322no—
1258C2×C42—831no—
1259C2×C42—831no—
1260C2×C42—831no—
1261C2×C42—831no—
1262C2×C42—831no—
1263C2×C42—831no—
1264C2×C42—831no—
1265C2×C42C22×D8311yescharacteristic
1266C2×C42C22×D8311yescharacteristic
1267#95—831no—
1268#95—831no—
1269#95—831no—
1270#95—831no—
1271#95—831no—
1272#95—831no—
1273#95—831no—
1274#95—831no—
1275#95—831no—
1276#95—831no—
1277#95—831no—
1278#95—831no—
1279#95—831no—
1280#95—831no—
1281#95—831no—
1282#95—831no—
1283#95—831no—
1284#95—831no—
1285#95—831no—
1286#95—831no—
1287#95—831no—
1288#95—831no—
1289#95—831no—
1290#95—831no—
1291C24—22no—
1292C24—41no—
1293C24—41no—
1294C24—41no—
1295C24—41no—
1296C24—41no—
1297C24—41no—
1298C24—831no—
1299C24—831no—
1300C24—831no—
1301C24C23×D8311yescharacteristic
1302C24C23×D8311yescharacteristic
1303C24C23×D8311yescharacteristic
1304C24C23×D8311yescharacteristic
1305C24C23×D8311yescharacteristic
1306C2×Q8—22no—
1307C2×Q8—41no—
1308C2×Q8—41no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—3321no—
1330C2×D4—3321no—
1331C2×D4—3321no—
1332C2×D4—3321no—
1333C2×D4—3321no—
1334C2×D4—3321no—
1335C2×D4—3321no—
1336C2×D4—3321no—
1337C2×D4—3321no—
1338C2×D4—3321no—
1339C2×D4—3321no—
1340C2×D4—3321no—
1341C2×D4—3321no—
1342C2×D4—3321no—
1343C2×D4—3321no—
1344C2×D4—3321no—
1345C2×D4—3321no—
1346C2×D4—3321no—
1347C2×D4—3321no—
1348C2×D4—3321no—
1349C2×D4—3321no—
1350C2×D4—3321no—
1351C2×D4—3321no—
1352C2×D4—3321no—
1353C2×D4—3321no—
1354C2×D4—3321no—
1355C2×D4—3321no—
1356C2×D4—3321no—
1357C2×D4—3321no—
1358C2×D4—3321no—
1359C2×D4—3321no—
1360C2×D4—3321no—
1361C2×D4—3321no—
1362C2×D4—3321no—
1363C2×D4—3321no—
1364C2×D4—3321no—
1365C2×D4—3321no—
1366C2×D4—3321no—
1367C2×D4—3321no—
1368C2×D4—3321no—
1369C2×D4—1662no—
1370C2×D4—1662no—
1371C2×D4—1662no—
1372C2×D4—1662no—
1373C2×D4—1662no—
1374C2×D4—1662no—
1375C2×D4—1662no—
1376C2×D4—1662no—
1377C2×D4—1662no—
1378C2×D4—1662no—
1379C2×D4—1662no—
1380C2×D4—1662no—
1381C2×D4—1662no—
1382C2×D4—1662no—
1383C2×D4C2×C22⋊D8314yes—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—3321no—
1395C22×C4—3321no—
1396C22×C4—3321no—
1397C22×C4—3321no—
1398C22×C4—3321no—
1399C22×C4—3321no—
1400C22×C4—3321no—
1401C22×C4—3321no—
1402C22×C4—3321no—
1403C22×C4—831no—
1404C22×C4—831no—
1405C22×C4—831no—
1406C22×C4—831no—
1407C22×C4—831no—
1408C22×C4—831no—
1409C22×C4—831no—
1410C22×C4—831no—
1411C22×C4—831no—
1412C22×C4—831no—
1413C22×C4—831no—
1414C22×C4—831no—
1415C22×C4—831no—
1416C22×C4—1662no—
1417C22×C4—1662no—
1418C22×C4—1662no—
1419C22×C4—1662no—
1420C22×C4—1662no—
1421C22×C4—1662no—
1422C22×C4C2×C22⋊D8314yes—
1423C22×C4C2×C22⋊D8314yes—
1424C22×C4C23×D8311yescharacteristic
1425C22×C4C23×D8311yescharacteristic
1426C22×C4C23×D8311yescharacteristic
1427C22×C4C23×D8311yescharacteristic
1428C22×C4C23×D8311yescharacteristic
1429C22×C4C23×D8311yescharacteristic
1430C22×C4C23×D8311yescharacteristic
1431C22×C4C23×D8311yescharacteristic
1432C22×C4C23×D8311yescharacteristic
1433C22×C4C23×D8311yescharacteristic
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—3321no—
1440C4⋊C4—3321no—
1441C4⋊C4—3321no—
1442C4⋊C4—3321no—
1443C4⋊C4—3321no—
1444C4⋊C4—3321no—
1445C4⋊C4—3321no—
1446C4⋊C4—3321no—
1447C4⋊C4—3321no—
1448C4⋊C4—1662no—
1449C4⋊C4—1662no—
1450C4⋊C4—1662no—
1451C4⋊C4—1662no—
1452C4⋊C4—1662no—
1453C4⋊C4—1662no—
1454C4⋊C4—1662no—
1455C4⋊C4—1662no—
1456C4⋊C4—1662no—
1457C4⋊C4—1662no—
1458C4⋊C4—1662no—
1459C4⋊C4—1662no—
1460C4⋊C4—1662no—
1461C4⋊C4C2×C22⋊D8314yes—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—22no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—3321no—
1475C22⋊C4—3321no—
1476C22⋊C4—3321no—
1477C22⋊C4—3321no—
1478C22⋊C4—3321no—
1479C22⋊C4—3321no—
1480C22⋊C4—3321no—
1481C22⋊C4—3321no—
1482C22⋊C4—3321no—
1483C22⋊C4—3321no—
1484C22⋊C4—3321no—
1485C22⋊C4—3321no—
1486C22⋊C4—3321no—
1487C22⋊C4—3321no—
1488C22⋊C4—3321no—
1489C22⋊C4—3321no—
1490C22⋊C4—3321no—
1491C22⋊C4—3321no—
1492C22⋊C4—3321no—
1493C22⋊C4—3321no—
1494C22⋊C4—3321no—
1495C22⋊C4—3321no—
1496C22⋊C4—3321no—
1497C22⋊C4—3321no—
1498C22⋊C4—3321no—
1499C22⋊C4—1662no—
1500C22⋊C4—1662no—
1501C22⋊C4—1662no—
1502C22⋊C4—1662no—
1503C22⋊C4—1662no—
1504C22⋊C4—1662no—
1505C22⋊C4—1662no—
1506C22⋊C4—1662no—
1507C22⋊C4—1662no—
1508C22⋊C4—1662no—
1509C22⋊C4—1662no—
1510C22⋊C4—1662no—
1511C22⋊C4—1662no—
1512C22⋊C4—1662no—
1513C22⋊C4—1662no—
1514C22⋊C4—1662no—
1515C22⋊C4—1662no—
1516C22⋊C4—1662no—
1517C22⋊C4—1662no—
1518C22⋊C4C2×C22⋊D8314yes—
1519C22⋊C4C2×C22⋊D8314yes—
1520C42—22no—
1521C42—3321no—
1522C42—3321no—
1523C42—3321no—
1524C42—3321no—
1525C42—1662no—
1526C42—1662no—
1527C42—1662no—
1528C42C2×C22⋊D8314yes—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—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—44no—
1563C23—82no—
1564C23—82no—
1565C23—82no—
1566C23—82no—
1567C23—82no—
1568C23—82no—
1569C23—1661no—
1570C23—1661no—
1571C23—1661no—
1572C23—1661no—
1573C23—1661no—
1574C23—1661no—
1575C23—1661no—
1576C23—1661no—
1577C23—1661no—
1578C23—1661no—
1579C23—1661no—
1580C23—1661no—
1581C23—1661no—
1582C23—1661no—
1583C23—1661no—
1584C23—1661no—
1585C23—1661no—
1586C23—1661no—
1587C23—1661no—
1588C23—1661no—
1589C23—1661no—
1590C23C22×C22⋊D8312yes—
1591C23C22×C22⋊D8312yes—
1592C23C24×D8311yescharacteristic
1593Q8—82no—
1594D4—44no—
1595D4—44no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—82no—
1601D4—3324no—
1602D4—6642no—
1603D4—6642no—
1604D4—6642no—
1605D4—6642no—
1606D4—6642no—
1607D4—6642no—
1608D4—6642no—
1609D4—6642no—
1610D4—6642no—
1611D4—6642no—
1612D4—6642no—
1613D4—6642no—
1614D4—6642no—
1615D4—6642no—
1616D4—6642no—
1617D4—6642no—
1618D4—6642no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—82no—
1647C2×C4—82no—
1648C2×C4—3324no—
1649C2×C4—3324no—
1650C2×C4—3324no—
1651C2×C4—832no—
1652C2×C4—832no—
1653C2×C4—832no—
1654C2×C4—6642no—
1655C2×C4—6642no—
1656C2×C4—1661no—
1657C2×C4—1661no—
1658C2×C4—1661no—
1659C2×C4—1661no—
1660C2×C4—1661no—
1661C2×C4—1661no—
1662C2×C4—1661no—
1663C2×C4—1661no—
1664C2×C4—1661no—
1665C2×C4—1661no—
1666C2×C4—1661no—
1667C2×C4—1661no—
1668C2×C4—1661no—
1669C2×C4—1661no—
1670C2×C4—1661no—
1671C2×C4—1661no—
1672C2×C4—1661no—
1673C2×C4—1661no—
1674C2×C4—1661no—
1675C2×C4—1661no—
1676C2×C4—1661no—
1677C2×C4—1661no—
1678C2×C4—1661no—
1679C2×C4—1661no—
1680C2×C4—1661no—
1681C2×C4—1661no—
1682C2×C4—1661no—
1683C2×C4—1661no—
1684C2×C4—1661no—
1685C2×C4—1661no—
1686C2×C4—1661no—
1687C2×C4—1661no—
1688C2×C4—1661no—
1689C2×C4—1661no—
1690C2×C4—1661no—
1691C2×C4—1661no—
1692C2×C4C22×C22⋊D8312yes—
1693C2×C4C22×C22⋊D8312yes—
1694C2×C4C22×C22⋊D8312yes—
1695C2×C4C22×C22⋊D8312yes—
1696C2×C4C22×C22⋊D8312yes—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
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—88no—
1733C22—3321no—
1734C22—3321no—
1735C22—3321no—
1736C22—3321no—
1737C22—3321no—
1738C22—3321no—
1739C22—3321no—
1740C22—3321no—
1741C22—3321no—
1742C22—3321no—
1743C22—3321no—
1744C22—3321no—
1745C22—3321no—
1746C22—3321no—
1747C22—3321no—
1748C22—3321no—
1749C22—3321no—
1750C22—3321no—
1751C22—3321no—
1752C22—3321no—
1753C22—3321no—
1754C22C23×C22⋊D8311yescharacteristic
1755C22H(5,𝔽2)×D8311yescharacteristic
1756C22H(5,𝔽2)×D8311yescharacteristic
1757C22H(5,𝔽2)×D8311yescharacteristic
1758C22#1912853611yescharacteristic
1759C22#1912853711yescharacteristic
1760C22#1912853711yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—3321no—
1772C4—3321no—
1773C4—3321no—
1774C4—3321no—
1775C4—3321no—
1776C4—3321no—
1777C4—3321no—
1778C4—3321no—
1779C4—3321no—
1780C4—3321no—
1781C4—1662no—
1782C4—1662no—
1783C4—1662no—
1784C2—42no—
1785C2—42no—
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—6641no—
1790C2—6641no—
1791C2—6641no—
1792C2#2492079211yescharacteristic
1793C2#2492122211yescharacteristic
1794C2#2492123711yescharacteristic
1795C2#2492165211yescharacteristic
1796C2#2492177811yescharacteristic
1797C2#2492188011yescharacteristic
1798C2#2492205011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC2×#538×C83C2
hypercenterC2×#538D83
hypocenterC83#36744
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×#19128302C2semidirect
2. #24915806C2semidirect
3. #24915792C2semidirect
4. #24914354C2semidirect
5. #24914255C2semidirect
6. #24913979C2semidirect
7. #24913811C2semidirect
8. #24913802C2semidirect
9. #24913784C2semidirect
10. #24913759C2semidirect
11. #24913753C2semidirect
12. #24913729C2semidirect
13. #24913725C2semidirect
14. #24913709C2semidirect
15. #24913695C2semidirect
16. #24913694C2semidirect
17. #24913680C2semidirect
18. #24913677C2semidirect
19. #24913667C2semidirect
20. #24913592C2semidirect
21. #24913591C2semidirect
22. #24913152C2semidirect
23. #24913092C2semidirect
24. #24913075C2semidirect
25. #24913062C2semidirect
26. #24912403C2semidirect
27. #24912394C2semidirect
28. #24910881C2semidirect
29. #24910848C2semidirect
30. #24909908C2semidirect
31. C2×#538×C83C2semidirect
35. C2×#14581783C22semidirect
39. C2×#14581775C22semidirect
41. C2×#14581774C22semidirect
42. C2×#14581768C22semidirect
43. C2×#14581768C22semidirect
44. C2×#14581767C22semidirect
46. C2×#14581766C22semidirect
47. C2×#14581766C22semidirect
49. C2×#14581765C22semidirect
53. C2×#14581764C22semidirect
54. C2×#14581764C22semidirect
61. C2×C4×D332C22semidirect
63. C2×#14581749C22semidirect
64. C22×C4×Dic83C22semidirect
68. #19127637C22semidirect
69. #19127634C22semidirect
70. #19127632C22semidirect
71. #19127631C22semidirect
72. #19127631C22semidirect
74. #19127627C22semidirect
80. #19127623C22semidirect
81. #19127620C22semidirect
82. #19127618C22semidirect
83. #19127618C22semidirect
90. #19127616C22semidirect
91. #19127616C22semidirect
96. #19127615C22semidirect
97. #19127612C22semidirect
103. #19127610C22semidirect
112. #19127609C22semidirect
114. #19127603C22semidirect
115. #19127602C22semidirect
123. #19127601C22semidirect
124. #19127601C22semidirect
125. #19127601C22semidirect
126. #19127599C22semidirect
127. #19127596C22semidirect
128. #19127596C22semidirect
132. #19127595C22semidirect
135. #19127592C22semidirect
136. #19127591C22semidirect
137. #19127591C22semidirect
138. #19127591C22semidirect
139. #19127591C22semidirect
142. #19127589C22semidirect
143. #19127587C22semidirect
144. #19127587C22semidirect
145. #19127585C22semidirect
146. #19127582C22semidirect
151. #19127580C22semidirect
152. #19127578C22semidirect
157. #19127577C22semidirect
158. #19127576C22semidirect
159. #19127576C22semidirect
161. #19127574C22semidirect
162. #19127572C22semidirect
163. #19127572C22semidirect
164. #19127572C22semidirect
165. #19127570C22semidirect
166. #19127561C22semidirect
167. #19127559C22semidirect
169. C4×C4⋊Dic83C22semidirect
171. C4×C22⋊Dic83C22semidirect
172. #19127547C22semidirect
367. C4×D4×C83D4semidirect
901. C2×#538D83semidirect
931. C83#36744semidirect
1167. C4×D4C22⋊D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283022
#249158062
#249157922
#249143542
#249142552
#249139792
#249138112
#249138022
#249137842
#249137592
#249137532
#249137292
#249137252
#249137092
#249136952
#249136942
#249136802
#249136772
#249136672
#249135922
#249135912
#249131522
#249130922
#249130752
#249130622
#249124032
#249123942
#249108812
#249108482
#249099082
C2×#538×C832
#3674483