Finite Group Databasebeta

← #35577187

Subgroups — #35577187

Order 21248.

2378 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915757C211yesmaximal, characteristic, complemented
2#24915753C211yesmaximal, characteristic, complemented
3#24915748C211yesmaximal, characteristic, complemented
4#24915743C211yesmaximal, characteristic
5#24913435C211yesmaximal, characteristic, complemented
6#24913419C211yesmaximal, characteristic, complemented
7#24913418C211yesmaximal, characteristic, complemented
8#24913393C211yesmaximal, characteristic, complemented
9#24912025C211yesmaximal, characteristic, complemented
10#24912017C211yesmaximal, characteristic, complemented
11#24911966C211yesmaximal, characteristic, complemented
12#24911958C211yesmaximal, characteristic, complemented
13#24911850C211yesmaximal, characteristic, complemented
14#24911842C211yesmaximal, characteristic, complemented
15#24911791C211yesmaximal, characteristic, complemented
16#24911783C211yesmaximal, characteristic, complemented
17#24911289C211yesmaximal, characteristic, complemented
18#24911281C211yesmaximal, characteristic, complemented
19#24911215C211yesmaximal, characteristic, complemented
20#24911207C211yesmaximal, characteristic, complemented
21#24911016C211yesmaximal, characteristic, complemented
22#24911008C211yesmaximal, characteristic, complemented
23#24910942C211yesmaximal, characteristic, complemented
24#24910934C211yesmaximal, characteristic, complemented
25#24910191C211yesmaximal, characteristic, complemented
26#24910161C211yesmaximal, characteristic, complemented
27#24910096C211yesmaximal, characteristic, complemented
28#24910090C211yesmaximal, characteristic, complemented
29C4×#14581761C211yesmaximal, characteristic, complemented
30C22×C83⋊#95C211yesmaximal, characteristic, complemented
31C4×#120×C83C211yesmaximal, characteristic, complemented
32C24×Dic83C2211yescharacteristic
33C24×Dic83C2211yescharacteristic
34C2×#14581776C2211yescharacteristic
35C2×#14581776C2211yescharacteristic
36C2×#14581773C2211yescharacteristic
37C2×#14581773C2211yescharacteristic
38C2×#14581769C2211yescharacteristic
39C2×#14581769C2211yescharacteristic
40C2×#14581769C2211yescharacteristic
41C2×#14581764C2211yescharacteristic
42C2×#14581764C2211yescharacteristic
43C2×#14581764C2211yescharacteristic
44C2×#14581761C2211yescharacteristic
45C2×C4×C22⋊D83C2211yescharacteristic
46C2×C4×C22⋊D83C2211yescharacteristic
47C2×C4×C22⋊D83C2211yescharacteristic
48C83⋊#401C2211yescharacteristic, complemented
49C83⋊#401C2211yescharacteristic, complemented
50#19127643C2211yescharacteristic, complemented
51#19127643C2211yescharacteristic, complemented
52#19127643C2211yescharacteristic, complemented
53#19127642C2211yescharacteristic, complemented
54#19127642C2211yescharacteristic, complemented
55#19127642C2211yescharacteristic, complemented
56#19127642C2211yescharacteristic, complemented
57#19127641C2211yescharacteristic, complemented
58#19127641C2211yescharacteristic, complemented
59#19127640C2211yescharacteristic, complemented
60#19127639C2211yescharacteristic, complemented
61#19127639C2211yescharacteristic, complemented
62#19127635C2211yescharacteristic, complemented
63#19127634C2211yescharacteristic, complemented
64#19127632C2211yescharacteristic, complemented
65#19127631C2211yescharacteristic, complemented
66#19127630C2211yescharacteristic, complemented
67#19127630C2211yescharacteristic, complemented
68#19127629C2211yescharacteristic, complemented
69#19127629C2211yescharacteristic, complemented
70#19127629C2211yescharacteristic, complemented
71#19127628C2211yescharacteristic, complemented
72#19127627C2211yescharacteristic, complemented
73#19127626C2211yescharacteristic, complemented
74#19127624C2211yescharacteristic, complemented
75#19127623C2211yescharacteristic, complemented
76#19127617C2211yescharacteristic, complemented
77#19127616C2211yescharacteristic, complemented
78#19127614C2211yescharacteristic, complemented
79#19127613C2211yescharacteristic, complemented
80#19127607C2211yescharacteristic, complemented
81#19127605C2211yescharacteristic, complemented
82#19127599C2211yescharacteristic, complemented
83#19127598C2211yescharacteristic, complemented
84#19127594C2211yescharacteristic, complemented
85#19127594C2211yescharacteristic, complemented
86#19127592C2211yescharacteristic, complemented
87#19127592C2211yescharacteristic, complemented
88#19127592C2211yescharacteristic, complemented
89#19127589C2211yescharacteristic, complemented
90#19127588C2211yescharacteristic, complemented
91#19127587C2211yescharacteristic, complemented
92#19127587C2211yescharacteristic, complemented
93#19127585C2211yescharacteristic, complemented
94#19127585C2211yescharacteristic, complemented
95#19127585C2211yescharacteristic, complemented
96#19127585C2211yescharacteristic, complemented
97#19127585C2211yescharacteristic, complemented
98#19127584C2211yescharacteristic, complemented
99#19127582C2211yescharacteristic, complemented
100#19127581C2211yescharacteristic
101#19127581C2211yescharacteristic
102#19127581C2211yescharacteristic
103#19127581C2211yescharacteristic
104#19127581C2211yescharacteristic
105#19127581C2211yescharacteristic
106#19127581C2211yescharacteristic
107#19127580C2211yescharacteristic
108#19127580C2211yescharacteristic
109#19127580C2211yescharacteristic
110#19127580C2211yescharacteristic, complemented
111#19127578C2211yescharacteristic
112#19127578C2211yescharacteristic
113#19127578C2211yescharacteristic
114#19127578C2211yescharacteristic
115#19127578C2211yescharacteristic
116#19127578C2211yescharacteristic
117#19127578C2211yescharacteristic
118#19127577C2211yescharacteristic, complemented
119#19127576C2211yescharacteristic
120#19127576C2211yescharacteristic
121#19127576C2211yescharacteristic
122#19127576C2211yescharacteristic
123#19127576C2211yescharacteristic
124#19127576C2211yescharacteristic
125#19127576C2211yescharacteristic
126#19127574C2211yescharacteristic
127#19127574C2211yescharacteristic
128#19127574C2211yescharacteristic
129#19127574C2211yescharacteristic, complemented
130#19127573C2211yescharacteristic
131#19127573C2211yescharacteristic
132#19127573C2211yescharacteristic
133#19127573C2211yescharacteristic
134#19127573C2211yescharacteristic
135#19127573C2211yescharacteristic
136#19127573C2211yescharacteristic
137#19127572C2211yescharacteristic, complemented
138#19127569C2211yescharacteristic, complemented
139#19127568C2211yescharacteristic, complemented
140#19127567C2211yescharacteristic, complemented
141#19127565C2211yescharacteristic, complemented
142#19127564C2211yescharacteristic, complemented
143#19127563C2211yescharacteristic, complemented
144#19127562C2211yescharacteristic
145#19127562C2211yescharacteristic
146#19127562C2211yescharacteristic
147#19127562C2211yescharacteristic
148#19127561C2211yescharacteristic, complemented
149#19127560C2211yescharacteristic, complemented
150#19127559C2211yescharacteristic
151#19127559C2211yescharacteristic
152#19127559C2211yescharacteristic
153#19127559C2211yescharacteristic
154#19127559C2211yescharacteristic
155#19127559C2211yescharacteristic
156#19127557C2211yescharacteristic
157C4×C22⋊Dic83C2211yescharacteristic
158C4×C22⋊Dic83C2211yescharacteristic
159C4×C22⋊Dic83C2211yescharacteristic
160C2×C83⋊#95C2211yescharacteristic
161C2×C83⋊#95C2211yescharacteristic
162C2×C83⋊#95C2211yescharacteristic
163C2×C83⋊#95C2211yescharacteristic
164C2×C83⋊#95C2211yescharacteristic
165C2×C83⋊#95C2211yescharacteristic
166C2×C83⋊#95C2211yescharacteristic
167C2×C83⋊#95C2211yescharacteristic
168C2×C83⋊#95C2211yescharacteristic
169C2×C83⋊#95C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172C24×C4×C83C2211yescharacteristic
173C2×#120×C83C2211yescharacteristic
174C2×C4×D4×C83C2211yescharacteristic
175C2×C4×D4×C83C2211yescharacteristic
176C2×C4×D4×C83C2211yescharacteristic
177#386×C83C2211yescharacteristic
178#386×C83C2211yescharacteristic
179#386×C83C2211yescharacteristic
180#385×C83C2211yescharacteristic
181#385×C83C2211yescharacteristic
182#385×C83C2211yescharacteristic
183#379×C83C2211yescharacteristic
184C4×C22⋊C4×C83C2211yescharacteristic
185C4×C22⋊C4×C83C2211yescharacteristic
186C4×C22⋊C4×C83C2211yescharacteristic
187C22×Dic166C2311yescharacteristic
188C22×C22⋊D83C2311yescharacteristic
189C22×C22⋊D83C2311yescharacteristic
190C22×C22⋊D83C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C23×Dic83—24no—
193C23×Dic83—24no—
194C23×Dic83—42no—
195C23×Dic83—42no—
196C23×Dic83—42no—
197C23×Dic83—42no—
198C23×Dic83C2311yescharacteristic
199C23×Dic83C2311yescharacteristic
200C23×Dic83C2311yescharacteristic
201C23×Dic83C2311yescharacteristic
202C23×Dic83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C23×Dic83C2311yescharacteristic
205C23×Dic83C2311yescharacteristic
206C23×Dic83C2311yescharacteristic
207C23×Dic83C2311yescharacteristic
208C23×Dic83C2311yescharacteristic
209C23×Dic83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211#14581776—42no—
212#14581776—42no—
213#14581773—42no—
214#14581773—42no—
215#14581769—24no—
216#14581769—42no—
217#14581769—42no—
218#14581764—24no—
219#14581764—42no—
220#14581764—42no—
221#14581761—24no—
222C4×C22⋊D83—24no—
223C4×C22⋊D83—42no—
224C4×C22⋊D83—42no—
225C2×C4⋊Dic83C2311yescharacteristic
226C2×C4⋊Dic83C2311yescharacteristic
227C2×C4⋊Dic83C2311yescharacteristic
228C2×C4⋊Dic83C2311yescharacteristic
229C2×C4⋊Dic83C2311yescharacteristic
230C2×C4⋊Dic83C2311yescharacteristic
231C2×C4⋊Dic83C2311yescharacteristic
232C2×Dic83⋊C4C2311yescharacteristic
233C2×Dic83⋊C4C2311yescharacteristic
234C2×Dic83⋊C4C2311yescharacteristic
235C2×Dic83⋊C4C2311yescharacteristic
236C2×Dic83⋊C4C2311yescharacteristic
237C2×Dic83⋊C4C2311yescharacteristic
238C2×Dic83⋊C4C2311yescharacteristic
239C2×Dic83⋊C4C2311yescharacteristic
240C2×Dic83⋊C4C2311yescharacteristic
241C2×Dic83⋊C4C2311yescharacteristic
242C2×Dic83⋊C4C2311yescharacteristic
243C2×Dic83⋊C4C2311yescharacteristic
244C2×Dic83⋊C4C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×C22⋊Dic83C2311yescharacteristic
249C2×C22⋊Dic83C2311yescharacteristic
250C2×C22⋊Dic83C2311yescharacteristic
251C2×C22⋊Dic83C2311yescharacteristic
252C2×C22⋊Dic83C2311yescharacteristic
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×C22⋊Dic83C2311yescharacteristic
256C2×C22⋊Dic83C2311yescharacteristic
257C2×C22⋊Dic83C2311yescharacteristic
258C2×C22⋊Dic83C2311yescharacteristic
259C2×C22⋊Dic83C2311yescharacteristic
260C2×C22⋊Dic83C2311yescharacteristic
261C2×C22⋊Dic83C2311yescharacteristic
262C2×C22⋊Dic83C2311yescharacteristic
263C2×C22⋊Dic83C2311yescharacteristic
264C2×(C2×D83)⋊C4C2311yescharacteristic
265C2×(C2×D83)⋊C4C2311yescharacteristic
266C2×(C2×D83)⋊C4C2311yescharacteristic
267C2×(C2×D83)⋊C4C2311yescharacteristic
268C2×(C2×D83)⋊C4C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×C4×Dic83C2311yescharacteristic
275C2×C4×Dic83C2311yescharacteristic
276C2×C4×Dic83C2311yescharacteristic
277C83⋊#95C2311yescharacteristic
278C83⋊#95C2311yescharacteristic
279C83⋊#95C2311yescharacteristic
280C83⋊#95C2311yescharacteristic
281C83⋊#95C2311yescharacteristic
282C83⋊#95C2311yescharacteristic
283C83⋊#95C2311yescharacteristic
284C83⋊#95C2311yescharacteristic
285C83⋊#95C2311yescharacteristic
286C83⋊#95C2311yescharacteristic
287C83⋊#95C2311yescharacteristic
288C83⋊#95C2311yescharacteristic
289C83⋊#95C2311yescharacteristic
290C83⋊#95C2311yescharacteristic
291C83⋊#95C2311yescharacteristic
292C83⋊#95C2311yescharacteristic
293C83⋊#95C2311yescharacteristic
294C83⋊#95C2311yescharacteristic
295C83⋊#95C2311yescharacteristic
296C83⋊#95C2311yescharacteristic
297C83⋊#95C2311yescharacteristic
298C83⋊#95C2311yescharacteristic
299C83⋊#95C2311yescharacteristic
300C83⋊#95C2311yescharacteristic
301C83⋊#95C2311yescharacteristic
302C83⋊#95C2311yescharacteristic
303C83⋊#95C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C25×C83C2311yescharacteristic
328C22×D4×C83C2311yescharacteristic
329C22×D4×C83C2311yescharacteristic
330C22×D4×C83C2311yescharacteristic
331C23×C4×C83—24no—
332C23×C4×C83—42no—
333C23×C4×C83—42no—
334C23×C4×C83C2311yescharacteristic
335C23×C4×C83C2311yescharacteristic
336C23×C4×C83C2311yescharacteristic
337C23×C4×C83C2311yescharacteristic
338C23×C4×C83C2311yescharacteristic
339C23×C4×C83C2311yescharacteristic
340C23×C4×C83C2311yescharacteristic
341#120×C83—24no—
342C4×D4×C83—24no—
343C4×D4×C83—42no—
344C4×D4×C83—42no—
345C2×C4⋊C4×C83C2311yescharacteristic
346C2×C4⋊C4×C83C2311yescharacteristic
347C2×C4⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C22⋊C4×C83C2311yescharacteristic
358C2×C22⋊C4×C83C2311yescharacteristic
359C2×C22⋊C4×C83C2311yescharacteristic
360C2×C42×C83C2311yescharacteristic
361C2×C42×C83C2311yescharacteristic
362C2×C42×C83C2311yescharacteristic
363#95×C83C2311yescharacteristic
364#95×C83C2311yescharacteristic
365#95×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369C23×D83C2411yescharacteristic
370C2×Dic166—22no—
371C2×Dic166—41no—
372C2×Dic166—41no—
373C2×C22⋊D83—22no—
374C2×C22⋊D83—22no—
375C2×C22⋊D83—22no—
376C2×C22⋊D83—22no—
377C2×C22⋊D83—22no—
378C2×C22⋊D83—22no—
379C2×C22⋊D83—22no—
380C2×C22⋊D83—22no—
381C2×C22⋊D83—22no—
382C2×C22⋊D83—22no—
383C2×C22⋊D83—41no—
384C2×C22⋊D83—41no—
385C22×Dic83—22no—
386C22×Dic83—22no—
387C22×Dic83—22no—
388C22×Dic83—22no—
389C22×Dic83—22no—
390C22×Dic83—22no—
391C22×Dic83—22no—
392C22×Dic83—22no—
393C22×Dic83—22no—
394C22×Dic83—22no—
395C22×Dic83—22no—
396C22×Dic83—22no—
397C22×Dic83—22no—
398C22×Dic83—22no—
399C22×Dic83—22no—
400C22×Dic83—22no—
401C22×Dic83—22no—
402C22×Dic83—22no—
403C22×Dic83—22no—
404C22×Dic83—41no—
405C22×Dic83—41no—
406C22×Dic83—41no—
407C22×Dic83—41no—
408C22×Dic83—41no—
409C22×Dic83—41no—
410C22×Dic83—41no—
411C22×Dic83—41no—
412C22×Dic83—41no—
413C22×Dic83—41no—
414C22×Dic83—41no—
415C22×Dic83—41no—
416C22×Dic83—41no—
417C22×Dic83—41no—
418C22×Dic83—41no—
419C22×Dic83—41no—
420C22×Dic83—416no—
421C22×Dic83—416no—
422C22×Dic83#4114yes—
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C22×Dic83C2411yescharacteristic
429C22×Dic83C2411yescharacteristic
430C22×Dic83C2411yescharacteristic
431C22×Dic83C2411yescharacteristic
432C22×Dic83C2411yescharacteristic
433C22×Dic83C2411yescharacteristic
434C22×Dic83C2411yescharacteristic
435C22×Dic83C2411yescharacteristic
436C22×Dic83C2411yescharacteristic
437C22×Dic83C2411yescharacteristic
438C2×C4×D83—22no—
439C2×C4×D83—41no—
440C2×C4×D83—41no—
441C4⋊Dic83—22no—
442C4⋊Dic83—41no—
443C4⋊Dic83—41no—
444C4⋊Dic83—41no—
445C4⋊Dic83—41no—
446C4⋊Dic83—41no—
447C4⋊Dic83—41no—
448Dic83⋊C4—22no—
449Dic83⋊C4—22no—
450Dic83⋊C4—22no—
451Dic83⋊C4—22no—
452Dic83⋊C4—41no—
453Dic83⋊C4—41no—
454Dic83⋊C4—41no—
455Dic83⋊C4—41no—
456Dic83⋊C4—41no—
457Dic83⋊C4—41no—
458Dic83⋊C4—41no—
459Dic83⋊C4—41no—
460Dic83⋊C4—41no—
461Dic83⋊C4—41no—
462Dic83⋊C4—41no—
463Dic83⋊C4—41no—
464C22⋊Dic83—22no—
465C22⋊Dic83—22no—
466C22⋊Dic83—22no—
467C22⋊Dic83—22no—
468C22⋊Dic83—22no—
469C22⋊Dic83—22no—
470C22⋊Dic83—22no—
471C22⋊Dic83—22no—
472C22⋊Dic83—22no—
473C22⋊Dic83—22no—
474C22⋊Dic83—41no—
475C22⋊Dic83—41no—
476C22⋊Dic83—41no—
477C22⋊Dic83—41no—
478C22⋊Dic83—41no—
479C22⋊Dic83—41no—
480(C2×D83)⋊C4—22no—
481(C2×D83)⋊C4—22no—
482(C2×D83)⋊C4—41no—
483(C2×D83)⋊C4—41no—
484(C2×D83)⋊C4—41no—
485(C2×D83)⋊C4—41no—
486(C2×D83)⋊C4—41no—
487(C2×D83)⋊C4—41no—
488(C2×D83)⋊C4—41no—
489(C2×D83)⋊C4—41no—
490C4×Dic83—22no—
491C4×Dic83—41no—
492C4×Dic83—41no—
493C24×C83—22no—
494C24×C83—22no—
495C24×C83—22no—
496C24×C83—22no—
497C24×C83—22no—
498C24×C83—22no—
499C24×C83#4114yes—
500C24×C83C2411yescharacteristic
501C24×C83C2411yescharacteristic
502C24×C83C2411yescharacteristic
503C24×C83C2411yescharacteristic
504C2×D4×C83—22no—
505C2×D4×C83—22no—
506C2×D4×C83—22no—
507C2×D4×C83—22no—
508C2×D4×C83—22no—
509C2×D4×C83—22no—
510C2×D4×C83—22no—
511C2×D4×C83—22no—
512C2×D4×C83—22no—
513C22×C4×C83—22no—
514C22×C4×C83—22no—
515C22×C4×C83—22no—
516C22×C4×C83—22no—
517C22×C4×C83—22no—
518C22×C4×C83—22no—
519C22×C4×C83—22no—
520C22×C4×C83—22no—
521C22×C4×C83—22no—
522C22×C4×C83—22no—
523C22×C4×C83—41no—
524C22×C4×C83—41no—
525C22×C4×C83—41no—
526C22×C4×C83—41no—
527C22×C4×C83—41no—
528C22×C4×C83—41no—
529C22×C4×C83—41no—
530C22×C4×C83—41no—
531C22×C4×C83—41no—
532C22×C4×C83—41no—
533C22×C4×C83—416no—
534C22×C4×C83#4114yes—
535C22×C4×C83C2411yescharacteristic
536C22×C4×C83C2411yescharacteristic
537C22×C4×C83C2411yescharacteristic
538C22×C4×C83C2411yescharacteristic
539C22×C4×C83C2411yescharacteristic
540C22×C4×C83C2411yescharacteristic
541C22×C4×C83C2411yescharacteristic
542C22×C4×C83C2411yescharacteristic
543C22×C4×C83C2411yescharacteristic
544C22×C4×C83C2411yescharacteristic
545C22×C4×C83C2411yescharacteristic
546C4⋊C4×C83—22no—
547C4⋊C4×C83—41no—
548C4⋊C4×C83—41no—
549C22⋊C4×C83—22no—
550C22⋊C4×C83—22no—
551C22⋊C4×C83—22no—
552C22⋊C4×C83—22no—
553C22⋊C4×C83—22no—
554C22⋊C4×C83—22no—
555C22⋊C4×C83—22no—
556C22⋊C4×C83—22no—
557C22⋊C4×C83—22no—
558C22⋊C4×C83—22no—
559C22⋊C4×C83—41no—
560C22⋊C4×C83—41no—
561C42×C83—22no—
562C42×C83—41no—
563C42×C83—41no—
564C23×C83—28no—
565C23×C83—28no—
566C23×C83—28no—
567C23×C83—28no—
568C23×C83—28no—
569C23×C83—28no—
570C23×C83—28no—
571C23×C83—21no—
572C23×C83—21no—
573C23×C83—21no—
574C23×C83—21no—
575C23×C83—21no—
576C23×C83—21no—
577C23×C83—21no—
578C23×C83—21no—
579C23×C83—21no—
580C23×C83—21no—
581C23×C83—21no—
582C23×C83—21no—
583C23×C83—21no—
584C23×C83—21no—
585C23×C83—21no—
586C23×C83—21no—
587C23×C83—21no—
588C23×C83—21no—
589C23×C83—21no—
590C23×C83C2×#4112yes—
591C23×C83C2×#4112yes—
592C23×C83C2×#4112yes—
593C23×C83C2×#4112yes—
594C23×C83C2×#4112yes—
595C23×C83H(5,𝔽2)12yes—
596C23×C83H(5,𝔽2)12yes—
597C23×C83H(5,𝔽2)12yes—
598C23×C832−1+412yes—
599C23×C83C2511yescharacteristic
600C22×D83—21no—
601C22×D83—21no—
602C22×D83—21no—
603C22×D83—21no—
604C22×D83—21no—
605C22×D83—21no—
606C22×D83—21no—
607D4×C83—44no—
608D4×C83—44no—
609D4×C83—44no—
610C2×C4×C83—21no—
611C2×C4×C83—21no—
612C2×C4×C83—21no—
613C2×C4×C83—21no—
614C2×C4×C83—21no—
615C2×C4×C83—21no—
616C2×C4×C83—21no—
617C2×C4×C83—21no—
618C2×C4×C83—21no—
619C2×C4×C83—21no—
620C2×C4×C83—21no—
621C2×C4×C83—21no—
622C2×C4×C83—21no—
623C2×C4×C83—21no—
624C2×C4×C83—21no—
625C2×C4×C83—21no—
626C2×C4×C83—21no—
627C2×C4×C83—21no—
628C2×C4×C83—21no—
629C2×C4×C83—21no—
630C2×C4×C83—21no—
631C2×C4×C83—21no—
632C2×C4×C83—21no—
633C2×C4×C83—21no—
634C2×C4×C83—21no—
635C2×C4×C83—21no—
636C2×C4×C83—21no—
637C2×C4×C83—21no—
638C2×C4×C83—21no—
639C2×C4×C83—21no—
640C2×C4×C83—21no—
641C2×C4×C83—44no—
642C2×C4×C83—44no—
643C2×C4×C83—44no—
644C2×C4×C83—44no—
645C2×C4×C83—44no—
646C2×C4×C83—44no—
647C2×C4×C83—82no—
648C2×C4×C83C2×#4112yes—
649C2×C4×C83C2×#4112yes—
650C22⋊D83—44no—
651C22⋊D83—44no—
652C22⋊D83—44no—
653C22⋊D83—82no—
654C2×Dic83—21no—
655C2×Dic83—21no—
656C2×Dic83—21no—
657C2×Dic83—21no—
658C2×Dic83—21no—
659C2×Dic83—21no—
660C2×Dic83—21no—
661C2×Dic83—21no—
662C2×Dic83—21no—
663C2×Dic83—21no—
664C2×Dic83—21no—
665C2×Dic83—21no—
666C2×Dic83—21no—
667C2×Dic83—21no—
668C2×Dic83—21no—
669C2×Dic83—21no—
670C2×Dic83—21no—
671C2×Dic83—21no—
672C2×Dic83—21no—
673C2×Dic83—21no—
674C2×Dic83—21no—
675C2×Dic83—21no—
676C2×Dic83—21no—
677C2×Dic83—21no—
678C2×Dic83—21no—
679C2×Dic83—21no—
680C2×Dic83—21no—
681C2×Dic83—21no—
682C2×Dic83—21no—
683C2×Dic83—21no—
684C2×Dic83—21no—
685C2×Dic83—21no—
686C2×Dic83—21no—
687C2×Dic83—21no—
688C2×Dic83—21no—
689C2×Dic83—21no—
690C2×Dic83—21no—
691C2×Dic83—21no—
692C2×Dic83—21no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—21no—
697C2×Dic83—44no—
698C2×Dic83—44no—
699C2×Dic83—44no—
700C2×Dic83—44no—
701C2×Dic83—44no—
702C2×Dic83—44no—
703C2×Dic83—44no—
704C2×Dic83—44no—
705C2×Dic83—44no—
706C2×Dic83—44no—
707C2×Dic83—44no—
708C2×Dic83—44no—
709C2×Dic83C2×#4112yes—
710C2×Dic83C2×#4112yes—
711C4×D83—82no—
712Dic166—82no—
713C22×C83—232no—
714C22×C83—22no—
715C22×C83—22no—
716C22×C83—22no—
717C22×C83—22no—
718C22×C83—22no—
719C22×C83—22no—
720C22×C83—22no—
721C22×C83—22no—
722C22×C83—22no—
723C22×C83—22no—
724C22×C83—22no—
725C22×C83—22no—
726C22×C83—22no—
727C22×C83—22no—
728C22×C83—22no—
729C22×C83—22no—
730C22×C83—22no—
731C22×C83—22no—
732C22×C83—41no—
733C22×C83—41no—
734C22×C83—41no—
735C22×C83—41no—
736C22×C83—41no—
737C22×C83—41no—
738C22×C83—41no—
739C22×C83#52914yes—
740C22×C83#53814yes—
741C22×C83#53914yes—
742C22×C83C22×#4111yescharacteristic
743C22×C83C22×#4111yescharacteristic
744C22×C83C22×#4111yescharacteristic
745C22×C83C2×H(5,𝔽2)11yescharacteristic
746C22×C83C2×H(5,𝔽2)11yescharacteristic
747C22×C83C2×H(5,𝔽2)11yescharacteristic
748C22×C83C2×2−1+411yescharacteristic
749C2×D83—41no—
750C2×D83—41no—
751C2×D83—41no—
752C2×D83—41no—
753C2×D83—41no—
754C2×D83—41no—
755C2×D83—41no—
756C4×C83—22no—
757C4×C83—22no—
758C4×C83—41no—
759C4×C83—41no—
760C4×C83—41no—
761C4×C83—41no—
762C4×C83—41no—
763C4×C83—41no—
764C4×C83—41no—
765C4×C83—41no—
766C4×C83—41no—
767Dic83—22no—
768Dic83—22no—
769Dic83—41no—
770Dic83—41no—
771Dic83—41no—
772Dic83—41no—
773Dic83—41no—
774Dic83—41no—
775Dic83—41no—
776Dic83—41no—
777Dic83—41no—
778Dic83—41no—
779Dic83—41no—
780Dic83—41no—
781Dic83—41no—
782#34997—831nomaximal, Sylow
783C2×C83—24no—
784C2×C83—24no—
785C2×C83—24no—
786C2×C83—81no—
787C2×C83C2×#52911yescharacteristic
788C2×C83C2×#53811yescharacteristic
789C2×C83C2×#53911yescharacteristic
790C2×C83#349011yescharacteristic
791C2×C83#349011yescharacteristic
792C2×C83#349211yescharacteristic
793C2×C83#349211yescharacteristic
794D83—81no—
795#2849—831no—
796#2849—831no—
797#2848—831no—
798#2847—831no—
799#2646—831no—
800#2643—831no—
801#2643—831no—
802#2639—831no—
803#2510—831no—
804#2510—831no—
805#2505—831no—
806#2505—831no—
807#2493—831no—
808#2493—831no—
809#2488—831no—
810#2488—831no—
811#2450—831no—
812#2450—831no—
813#2444—831no—
814#2444—831no—
815#2425—831no—
816#2425—831no—
817#2419—831no—
818#2419—831no—
819#2329—831no—
820#2325—831no—
821#2318—831no—
822#2318—831no—
823C4×#120—831no—
824C4×#120D8311yescharacteristic, complemented
825C22×#95—831no—
826C83#3499711yescharacteristic, complemented, Sylow
827C24×C4—831no—
828C24×C4—831no—
829C24×C4C2×D8311yescharacteristic
830C2×#123—831no—
831C2×#123—831no—
832C2×#123—831no—
833C2×#123—831no—
834C2×C22⋊Q8—831no—
835C2×C22⋊Q8—831no—
836C2×C22⋊Q8—831no—
837C2×#121—831no—
838C2×#121—831no—
839C2×#121—831no—
840C2×#120—831no—
841C2×#120C2×D8311yescharacteristic
842C2×C4×D4—831no—
843C2×C4×D4—831no—
844C2×C4×D4—831no—
845C2×C4×D4C2×D8311yescharacteristic
846C2×C4×D4C2×D8311yescharacteristic
847C2×C4×D4C2×D8311yescharacteristic
848#401—831no—
849#401—831no—
850#400—831no—
851#400—831no—
852#400—831no—
853#400—831no—
854#400—831no—
855#400—831no—
856#400—831no—
857#400—831no—
858#400—831no—
859#400—831no—
860#400—831no—
861#400—831no—
862#398—831no—
863#398—831no—
864#398—831no—
865#398—831no—
866#397—831no—
867#397—831no—
868#397—831no—
869#397—831no—
870#397—831no—
871#397—831no—
872#397—831no—
873#397—831no—
874#396—831no—
875#396—831no—
876#394—831no—
877#394—831no—
878#393—831no—
879#393—831no—
880#391—831no—
881#391—831no—
882#389—831no—
883#389—831no—
884#388—831no—
885#388—831no—
886#388—831no—
887#388—831no—
888#388—831no—
889#388—831no—
890#387—831no—
891#387—831no—
892#387—831no—
893#387—831no—
894#387—831no—
895#387—831no—
896#387—831no—
897#387—831no—
898#387—831no—
899#387—831no—
900#386—831no—
901#386—831no—
902#386—831no—
903#386—831no—
904#386—831no—
905#386—831no—
906#386—831no—
907#386—831no—
908#386—831no—
909#386—831no—
910#386—831no—
911#386—831no—
912#386—831no—
913#386—831no—
914#386—831no—
915#386—831no—
916#386—831no—
917#386—831no—
918#386—831no—
919#386C2×D8311yescharacteristic
920#386C2×D8311yescharacteristic
921#386C2×D8311yescharacteristic
922#385—831no—
923#385—831no—
924#385—831no—
925#385—831no—
926#385—831no—
927#385—831no—
928#385—831no—
929#385—831no—
930#385—831no—
931#385—831no—
932#385—831no—
933#385—831no—
934#385—831no—
935#385—831no—
936#385—831no—
937#385—831no—
938#385—831no—
939#385—831no—
940#385—831no—
941#385C2×D8311yescharacteristic
942#385C2×D8311yescharacteristic
943#385C2×D8311yescharacteristic
944#383—831no—
945#383—831no—
946#382—831no—
947#382—831no—
948#381—831no—
949#381—831no—
950#381—831no—
951#381—831no—
952#381—831no—
953#381—831no—
954#380—831no—
955#380—831no—
956#380—831no—
957#380—831no—
958#380—831no—
959#380—831no—
960#380—831no—
961#380—831no—
962#379—831no—
963#379C2×D8311yescharacteristic
964C4×C22⋊C4—831no—
965C4×C22⋊C4—831no—
966C4×C22⋊C4—831no—
967C4×C22⋊C4C2×D8311yescharacteristic
968C4×C22⋊C4C2×D8311yescharacteristic
969C4×C22⋊C4C2×D8311yescharacteristic
970C2×#95—831no—
971C2×#95—831no—
972C2×#95—831no—
973C2×#95—831no—
974C2×#95—831no—
975C2×#95—831no—
976C2×#95—831no—
977C2×#95—831no—
978C2×#95—831no—
979C2×#95—831no—
980C2×#95—831no—
981C2×#95—831no—
982C25C22×D8311yescharacteristic
983C22×Q8—831no—
984C22×D4—831no—
985C22×D4—831no—
986C22×D4—831no—
987C22×D4—831no—
988C22×D4C22×D8311yescharacteristic
989C22×D4C22×D8311yescharacteristic
990C22×D4C22×D8311yescharacteristic
991C23×C4—24no—
992C23×C4—42no—
993C23×C4—42no—
994C23×C4—3322no—
995C23×C4—3322no—
996C23×C4—3322no—
997C23×C4—3322no—
998C23×C4—831no—
999C23×C4—831no—
1000C23×C4—831no—
1001C23×C4—831no—
1002C23×C4—831no—
1003C23×C4—831no—
1004C23×C4—831no—
1005C23×C4—831no—
1006C23×C4—831no—
1007C23×C4—831no—
1008C23×C4—831no—
1009C23×C4—831no—
1010C23×C4—831no—
1011C23×C4—1664no—
1012C23×C4—1664no—
1013C23×C4C22×D8311yescharacteristic
1014C23×C4C22×D8311yescharacteristic
1015C23×C4C22×D8311yescharacteristic
1016C23×C4C22×D8311yescharacteristic
1017C23×C4C22×D8311yescharacteristic
1018C23×C4C22×D8311yescharacteristic
1019C23×C4C22×D8311yescharacteristic
1020#123—3322no—
1021#123—3322no—
1022#123—3322no—
1023#123—3322no—
1024C22⋊Q8—3322no—
1025C22⋊Q8—3322no—
1026C22⋊Q8—1664no—
1027#121—3322no—
1028#121—3322no—
1029#121—1664no—
1030#120—24no—
1031#120—1664no—
1032C4×D4—24no—
1033C4×D4—42no—
1034C4×D4—42no—
1035C4×D4—3322no—
1036C4×D4—3322no—
1037C4×D4—1664no—
1038C2×C4⋊C4—831no—
1039C2×C4⋊C4—831no—
1040C2×C4⋊C4—831no—
1041C2×C4⋊C4—831no—
1042C2×C4⋊C4—831no—
1043C2×C4⋊C4—831no—
1044C2×C4⋊C4—831no—
1045C2×C4⋊C4—831no—
1046C2×C4⋊C4—831no—
1047C2×C4⋊C4—831no—
1048C2×C4⋊C4—831no—
1049C2×C4⋊C4—831no—
1050C2×C4⋊C4—831no—
1051C2×C4⋊C4—831no—
1052C2×C4⋊C4—831no—
1053C2×C4⋊C4—831no—
1054C2×C4⋊C4—831no—
1055C2×C4⋊C4—831no—
1056C2×C4⋊C4—831no—
1057C2×C4⋊C4—831no—
1058C2×C4⋊C4—831no—
1059C2×C4⋊C4—831no—
1060C2×C4⋊C4—831no—
1061C2×C4⋊C4C22×D8311yescharacteristic
1062C2×C4⋊C4C22×D8311yescharacteristic
1063C2×C4⋊C4C22×D8311yescharacteristic
1064C2×C22⋊C4—831no—
1065C2×C22⋊C4—831no—
1066C2×C22⋊C4—831no—
1067C2×C22⋊C4—831no—
1068C2×C22⋊C4—831no—
1069C2×C22⋊C4—831no—
1070C2×C22⋊C4—831no—
1071C2×C22⋊C4—831no—
1072C2×C22⋊C4—831no—
1073C2×C22⋊C4—831no—
1074C2×C22⋊C4—831no—
1075C2×C22⋊C4—831no—
1076C2×C22⋊C4—831no—
1077C2×C22⋊C4—831no—
1078C2×C22⋊C4—831no—
1079C2×C22⋊C4—831no—
1080C2×C22⋊C4—831no—
1081C2×C22⋊C4—831no—
1082C2×C22⋊C4—831no—
1083C2×C22⋊C4—831no—
1084C2×C22⋊C4—831no—
1085C2×C22⋊C4—831no—
1086C2×C22⋊C4—831no—
1087C2×C22⋊C4—831no—
1088C2×C22⋊C4—831no—
1089C2×C22⋊C4—831no—
1090C2×C22⋊C4C22×D8311yescharacteristic
1091C2×C22⋊C4C22×D8311yescharacteristic
1092C2×C22⋊C4C22×D8311yescharacteristic
1093C2×C22⋊C4C22×D8311yescharacteristic
1094C2×C22⋊C4C22×D8311yescharacteristic
1095C2×C22⋊C4C22×D8311yescharacteristic
1096C2×C22⋊C4C22×D8311yescharacteristic
1097C2×C22⋊C4C22×D8311yescharacteristic
1098C2×C22⋊C4C22×D8311yescharacteristic
1099C2×C22⋊C4C22×D8311yescharacteristic
1100C2×C22⋊C4C22×D8311yescharacteristic
1101C2×C22⋊C4C22×D8311yescharacteristic
1102C2×C42—831no—
1103C2×C42—831no—
1104C2×C42—831no—
1105C2×C42C22×D8311yescharacteristic
1106C2×C42C22×D8311yescharacteristic
1107C2×C42C22×D8311yescharacteristic
1108#95—831no—
1109#95—831no—
1110#95—831no—
1111#95—831no—
1112#95—831no—
1113#95—831no—
1114#95—831no—
1115#95—831no—
1116#95—831no—
1117#95—831no—
1118#95—831no—
1119#95—831no—
1120#95—831no—
1121#95—831no—
1122#95—831no—
1123#95—831no—
1124#95—831no—
1125#95—831no—
1126#95—831no—
1127#95—831no—
1128#95—831no—
1129#95—831no—
1130#95—831no—
1131#95—831no—
1132#95—831no—
1133#95—831no—
1134#95—831no—
1135#95—831no—
1136#95—831no—
1137#95—831no—
1138#95—831no—
1139#95—831no—
1140#95—831no—
1141#95—831no—
1142#95—831no—
1143#95—831no—
1144#95—831no—
1145#95—831no—
1146#95—831no—
1147#95—831no—
1148#95—831no—
1149#95—831no—
1150#95—831no—
1151#95—831no—
1152#95—831no—
1153#95—831no—
1154#95—831no—
1155#95—831no—
1156#95—831no—
1157#95—831no—
1158#95C22×D8311yescharacteristic
1159#95C22×D8311yescharacteristic
1160#95C22×D8311yescharacteristic
1161#95C22×D8311yescharacteristic
1162#95C22×D8311yescharacteristic
1163#95C22×D8311yescharacteristic
1164C24—22no—
1165C24—22no—
1166C24—22no—
1167C24—22no—
1168C24—22no—
1169C24—22no—
1170C24—831no—
1171C24#1305059014yes—
1172C24C23×D8311yescharacteristic
1173C24C23×D8311yescharacteristic
1174C24C23×D8311yescharacteristic
1175C24C23×D8311yescharacteristic
1176C2×Q8—3321no—
1177C2×Q8—3321no—
1178C2×Q8—1662no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—3321no—
1189C2×D4—3321no—
1190C2×D4—1662no—
1191C2×D4—1662no—
1192C2×D4—1662no—
1193C2×D4—1662no—
1194C2×D4—1662no—
1195C2×D4—1662no—
1196C2×D4—1662no—
1197C2×D4—1662no—
1198C2×D4—1662no—
1199C2×D4—1662no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—416no—
1221C22×C4—3321no—
1222C22×C4—3321no—
1223C22×C4—33216no—
1224C22×C4—33216no—
1225C22×C4—3321no—
1226C22×C4—3321no—
1227C22×C4—3321no—
1228C22×C4—3321no—
1229C22×C4—3321no—
1230C22×C4—3321no—
1231C22×C4—3321no—
1232C22×C4—3321no—
1233C22×C4—3321no—
1234C22×C4—3321no—
1235C22×C4—3321no—
1236C22×C4—3321no—
1237C22×C4—3321no—
1238C22×C4—3321no—
1239C22×C4—3321no—
1240C22×C4—3321no—
1241C22×C4—834no—
1242C22×C4—831no—
1243C22×C4—831no—
1244C22×C4—831no—
1245C22×C4—831no—
1246C22×C4—831no—
1247C22×C4—831no—
1248C22×C4—831no—
1249C22×C4—831no—
1250C22×C4—831no—
1251C22×C4—831no—
1252C22×C4—831no—
1253C22×C4—831no—
1254C22×C4—831no—
1255C22×C4—831no—
1256C22×C4—831no—
1257C22×C4—1662no—
1258C22×C4—1662no—
1259C22×C4—1662no—
1260C22×C4—1662no—
1261C22×C4—1662no—
1262C22×C4—1662no—
1263C22×C4—1662no—
1264C22×C4—1662no—
1265C22×C4—1662no—
1266C22×C4—1662no—
1267C22×C4—1662no—
1268C22×C4—1662no—
1269C22×C4—1662no—
1270C22×C4—1662no—
1271C22×C4—1662no—
1272C22×C4—1662no—
1273C22×C4—1662no—
1274C22×C4—1662no—
1275C22×C4—1662no—
1276C22×C4—1662no—
1277C22×C4#1305058914yes—
1278C22×C4C23×D8311yescharacteristic
1279C22×C4C23×D8311yescharacteristic
1280C22×C4C23×D8311yescharacteristic
1281C22×C4C23×D8311yescharacteristic
1282C22×C4C23×D8311yescharacteristic
1283C22×C4C23×D8311yescharacteristic
1284C22×C4C23×D8311yescharacteristic
1285C22×C4C23×D8311yescharacteristic
1286C22×C4C23×D8311yescharacteristic
1287C22×C4C23×D8311yescharacteristic
1288C22×C4C23×D8311yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—3321no—
1293C4⋊C4—3321no—
1294C4⋊C4—3321no—
1295C4⋊C4—3321no—
1296C4⋊C4—3321no—
1297C4⋊C4—3321no—
1298C4⋊C4—3321no—
1299C4⋊C4—3321no—
1300C4⋊C4—3321no—
1301C4⋊C4—3321no—
1302C4⋊C4—3321no—
1303C4⋊C4—3321no—
1304C4⋊C4—3321no—
1305C4⋊C4—3321no—
1306C4⋊C4—3321no—
1307C4⋊C4—3321no—
1308C4⋊C4—3321no—
1309C4⋊C4—3321no—
1310C4⋊C4—1662no—
1311C4⋊C4—1662no—
1312C4⋊C4—1662no—
1313C4⋊C4—1662no—
1314C4⋊C4—1662no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—3321no—
1328C22⋊C4—3321no—
1329C22⋊C4—3321no—
1330C22⋊C4—3321no—
1331C22⋊C4—3321no—
1332C22⋊C4—3321no—
1333C22⋊C4—3321no—
1334C22⋊C4—3321no—
1335C22⋊C4—3321no—
1336C22⋊C4—3321no—
1337C22⋊C4—3321no—
1338C22⋊C4—3321no—
1339C22⋊C4—3321no—
1340C22⋊C4—3321no—
1341C22⋊C4—1662no—
1342C22⋊C4—1662no—
1343C22⋊C4—1662no—
1344C22⋊C4—1662no—
1345C22⋊C4—1662no—
1346C22⋊C4—1662no—
1347C22⋊C4—1662no—
1348C22⋊C4—1662no—
1349C22⋊C4—1662no—
1350C22⋊C4—1662no—
1351C22⋊C4—1662no—
1352C22⋊C4—1662no—
1353C42—22no—
1354C42—41no—
1355C42—41no—
1356C42—3321no—
1357C42—3321no—
1358C42—1662no—
1359C23—28no—
1360C23—28no—
1361C23—28no—
1362C23—28no—
1363C23—28no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—28no—
1377C23—28no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—1661no—
1386C23—1661no—
1387C23—1661no—
1388C23—1661no—
1389C23—1661no—
1390C23—1661no—
1391C23—1661no—
1392C23#41×D8312yes—
1393C23C2×#1305058912yes—
1394C23C2×#1305059012yes—
1395C23C2×#1305059012yes—
1396C23C2×#1305059012yes—
1397C23#1458183712yes—
1398C23#1458183712yes—
1399C23#1458183812yes—
1400C23#1458183912yes—
1401C23C24×D8311yescharacteristic
1402Q8—6642no—
1403D4—44no—
1404D4—44no—
1405D4—44no—
1406D4—3324no—
1407D4—3324no—
1408D4—3324no—
1409D4—6642no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—44no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—82no—
1448C2×C4—3324no—
1449C2×C4—3324no—
1450C2×C4—3324no—
1451C2×C4—3324no—
1452C2×C4—3324no—
1453C2×C4—3324no—
1454C2×C4—3324no—
1455C2×C4—3324no—
1456C2×C4—3324no—
1457C2×C4—3324no—
1458C2×C4—3324no—
1459C2×C4—3324no—
1460C2×C4—832no—
1461C2×C4—832no—
1462C2×C4—6642no—
1463C2×C4—1661no—
1464C2×C4—1661no—
1465C2×C4—1661no—
1466C2×C4—1661no—
1467C2×C4—1661no—
1468C2×C4—1661no—
1469C2×C4—1661no—
1470C2×C4—1661no—
1471C2×C4—1661no—
1472C2×C4—1661no—
1473C2×C4—1661no—
1474C2×C4—1661no—
1475C2×C4—1661no—
1476C2×C4—1661no—
1477C2×C4—1661no—
1478C2×C4—1661no—
1479C2×C4—1661no—
1480C2×C4—1661no—
1481C2×C4—1661no—
1482C2×C4—1661no—
1483C2×C4—1661no—
1484C2×C4—1661no—
1485C2×C4—1661no—
1486C2×C4—1661no—
1487C2×C4—1661no—
1488C2×C4—1661no—
1489C2×C4—1661no—
1490C2×C4—1661no—
1491C2×C4—1661no—
1492C2×C4—1661no—
1493C2×C4—1661no—
1494C2×C4—1661no—
1495C2×C4—1661no—
1496C2×C4—1661no—
1497C2×C4—1661no—
1498C2×C4—1661no—
1499C2×C4—1661no—
1500C2×C4—1661no—
1501C2×C4—1661no—
1502C2×C4—1661no—
1503C2×C4—1661no—
1504C2×C4—1661no—
1505C2×C4—1661no—
1506C2×C4C2×#1305058912yes—
1507C2×C4C2×#1305058912yes—
1508C22—232no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—3321no—
1535C22—3321no—
1536C22—3321no—
1537C22—3321no—
1538C22—3321no—
1539C22—3321no—
1540C22—3321no—
1541C22#1912823114yes—
1542C22#1912828414yes—
1543C22#1912829314yes—
1544C22C2×#41×D8311yescharacteristic
1545C22C22×#1305058911yescharacteristic
1546C22C22×#1305059011yescharacteristic
1547C22C2×#1458183711yescharacteristic
1548C22C2×#1458183711yescharacteristic
1549C22C2×#1458183811yescharacteristic
1550C22C2×#1458183911yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—3321no—
1563C4—3321no—
1564C4—3321no—
1565C4—3321no—
1566C4—3321no—
1567C4—3321no—
1568C4—3321no—
1569C4—3321no—
1570C4—3321no—
1571C4—3321no—
1572C4—3321no—
1573C4—3321no—
1574C4—3321no—
1575C4—1662no—
1576C4—1662no—
1577C2—24no—
1578C2—24no—
1579C2—24no—
1580C2—81no—
1581C2—6641no—
1582C2C2×#1912823111yescharacteristic
1583C2C2×#1912828411yescharacteristic
1584C2C2×#1912829311yescharacteristic
1585C2#2492114611yescharacteristic
1586C2#2492115011yescharacteristic
1587C2#2492116411yescharacteristic
1588C2#2492116911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC4×#120×C83C2
prime radical#24915743C2
hypercenterC4×#120D83
hypocenterC83#34997
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
1. #24915757C2semidirect
2. #24915753C2semidirect
3. #24915748C2semidirect
5. #24913435C2semidirect
6. #24913419C2semidirect
7. #24913418C2semidirect
8. #24913393C2semidirect
9. #24912025C2semidirect
10. #24912017C2semidirect
11. #24911966C2semidirect
12. #24911958C2semidirect
13. #24911850C2semidirect
14. #24911842C2semidirect
15. #24911791C2semidirect
16. #24911783C2semidirect
17. #24911289C2semidirect
18. #24911281C2semidirect
19. #24911215C2semidirect
20. #24911207C2semidirect
21. #24911016C2semidirect
22. #24911008C2semidirect
23. #24910942C2semidirect
24. #24910934C2semidirect
25. #24910191C2semidirect
26. #24910161C2semidirect
27. #24910096C2semidirect
28. #24910090C2semidirect
29. C4×#14581761C2semidirect
30. C22×C83⋊#95C2semidirect
31. C4×#120×C83C2semidirect
48. C83⋊#401C22semidirect
49. C83⋊#401C22semidirect
50. #19127643C22semidirect
51. #19127643C22semidirect
52. #19127643C22semidirect
53. #19127642C22semidirect
54. #19127642C22semidirect
55. #19127642C22semidirect
56. #19127642C22semidirect
57. #19127641C22semidirect
58. #19127641C22semidirect
59. #19127640C22semidirect
60. #19127639C22semidirect
61. #19127639C22semidirect
62. #19127635C22semidirect
63. #19127634C22semidirect
64. #19127632C22semidirect
65. #19127631C22semidirect
66. #19127630C22semidirect
67. #19127630C22semidirect
68. #19127629C22semidirect
69. #19127629C22semidirect
70. #19127629C22semidirect
71. #19127628C22semidirect
72. #19127627C22semidirect
73. #19127626C22semidirect
74. #19127624C22semidirect
75. #19127623C22semidirect
76. #19127617C22semidirect
77. #19127616C22semidirect
78. #19127614C22semidirect
79. #19127613C22semidirect
80. #19127607C22semidirect
81. #19127605C22semidirect
82. #19127599C22semidirect
83. #19127598C22semidirect
84. #19127594C22semidirect
85. #19127594C22semidirect
86. #19127592C22semidirect
87. #19127592C22semidirect
88. #19127592C22semidirect
89. #19127589C22semidirect
90. #19127588C22semidirect
91. #19127587C22semidirect
92. #19127587C22semidirect
93. #19127585C22semidirect
94. #19127585C22semidirect
95. #19127585C22semidirect
96. #19127585C22semidirect
97. #19127585C22semidirect
98. #19127584C22semidirect
99. #19127582C22semidirect
110. #19127580C22semidirect
118. #19127577C22semidirect
129. #19127574C22semidirect
137. #19127572C22semidirect
138. #19127569C22semidirect
139. #19127568C22semidirect
140. #19127567C22semidirect
141. #19127565C22semidirect
142. #19127564C22semidirect
143. #19127563C22semidirect
148. #19127561C22semidirect
149. #19127560C22semidirect
824. C4×#120D83semidirect
826. C83#34997semidirect

Maximal subgroups

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

subgroupindex
#249157572
#249157532
#249157482
#249157432
#249134352
#249134192
#249134182
#249133932
#249120252
#249120172
#249119662
#249119582
#249118502
#249118422
#249117912
#249117832
#249112892
#249112812
#249112152
#249112072
#249110162
#249110082
#249109422
#249109342
#249101912
#249101612
#249100962
#249100902
C4×#145817612
C22×C83⋊#952
C4×#120×C832
#3499783