Finite Group Databasebeta

← #35613320

Subgroups — #35613320

Order 21248.

1950 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#24915778C211yesmaximal, characteristic, complemented
2#24915438C211yesmaximal, characteristic, complemented
3#24915393C211yesmaximal, characteristic, complemented
4#24915391C211yesmaximal, characteristic, complemented
5#24915180C211yesmaximal, characteristic, complemented
6#24915122C211yesmaximal, characteristic, complemented
7#24915093C211yesmaximal, characteristic, complemented
8#24915076C211yesmaximal, characteristic, complemented
9#24915037C211yesmaximal, characteristic, complemented
10#24914830C211yesmaximal, characteristic, complemented
11#24914785C211yesmaximal, characteristic, complemented
12#24914783C211yesmaximal, characteristic, complemented
13#24914714C211yesmaximal, characteristic, complemented
14#24914487C211yesmaximal, characteristic, complemented
15#24914274C211yesmaximal, characteristic, complemented
16#24914259C211yesmaximal, characteristic, complemented
17#24913863C211yesmaximal, characteristic, complemented
18#24913240C211yesmaximal, characteristic, complemented
19#24913203C211yesmaximal, characteristic, complemented
20#24912021C211yesmaximal, characteristic, complemented
21#24911596C211yesmaximal, characteristic, complemented
22#24911211C211yesmaximal, characteristic, complemented
23#24911135C211yesmaximal, characteristic, complemented
24#24911069C211yesmaximal, characteristic, complemented
25#24911005C211yesmaximal, characteristic, complemented
26#24910851C211yesmaximal, characteristic, complemented
27#24910781C211yesmaximal, characteristic, complemented
28#24910137C211yesmaximal, characteristic, complemented
29#24910050C211yesmaximal, characteristic, complemented
30C2×#19127592C211yesmaximal, characteristic, complemented
31C83×#2850C211yesmaximal, characteristic, complemented
32C22×#13050589C2211yescharacteristic
33C2×#14581786C2211yescharacteristic, complemented
34C2×#14581781C2211yescharacteristic
35C2×#14581773C2211yescharacteristic
36C2×#14581764C2211yescharacteristic
37C2×#14581764C2211yescharacteristic
38C2×#14581762C2211yescharacteristic
39C2×#14581760C2211yescharacteristic
40C2×#14581760C2211yescharacteristic
41C2×D4×Dic83C2211yescharacteristic
42C2×#14581748C2211yescharacteristic
43C22×Dic83⋊C4C2211yescharacteristic
44C22×(C2×D83)⋊C4C2211yescharacteristic
45C22×(C2×D83)⋊C4C2211yescharacteristic
46C22×(C2×D83)⋊C4C2211yescharacteristic
47C83⋊#401C2211yescharacteristic, complemented
48#19127642C2211yescharacteristic, complemented
49#19127641C2211yescharacteristic, complemented
50#19127639C2211yescharacteristic, complemented
51#19127634C2211yescharacteristic, complemented
52#19127634C2211yescharacteristic, complemented
53#19127630C2211yescharacteristic
54#19127630C2211yescharacteristic
55#19127630C2211yescharacteristic
56#19127630C2211yescharacteristic
57#19127629C2211yescharacteristic, complemented
58#19127629C2211yescharacteristic, complemented
59#19127628C2211yescharacteristic
60#19127628C2211yescharacteristic
61#19127628C2211yescharacteristic, complemented
62#19127627C2211yescharacteristic
63#19127626C2211yescharacteristic, complemented
64#19127625C2211yescharacteristic
65#19127625C2211yescharacteristic
66#19127623C2211yescharacteristic
67#19127621C2211yescharacteristic, complemented
68#19127620C2211yescharacteristic, complemented
69#19127619C2211yescharacteristic
70#19127619C2211yescharacteristic
71#19127618C2211yescharacteristic
72#19127618C2211yescharacteristic
73#19127617C2211yescharacteristic
74#19127617C2211yescharacteristic
75#19127617C2211yescharacteristic
76#19127617C2211yescharacteristic, complemented
77#19127616C2211yescharacteristic
78#19127616C2211yescharacteristic
79#19127616C2211yescharacteristic
80#19127616C2211yescharacteristic
81#19127616C2211yescharacteristic
82#19127616C2211yescharacteristic
83#19127616C2211yescharacteristic
84#19127616C2211yescharacteristic, complemented
85#19127614C2211yescharacteristic
86#19127614C2211yescharacteristic
87#19127613C2211yescharacteristic, complemented
88#19127612C2211yescharacteristic
89#19127610C2211yescharacteristic
90#19127610C2211yescharacteristic
91#19127610C2211yescharacteristic
92#19127610C2211yescharacteristic
93#19127609C2211yescharacteristic
94#19127609C2211yescharacteristic, complemented
95#19127608C2211yescharacteristic, complemented
96#19127605C2211yescharacteristic, complemented
97#19127605C2211yescharacteristic, complemented
98#19127602C2211yescharacteristic
99#19127601C2211yescharacteristic
100#19127601C2211yescharacteristic
101#19127601C2211yescharacteristic
102#19127601C2211yescharacteristic, complemented
103#19127601C2211yescharacteristic, complemented
104#19127598C2211yescharacteristic, complemented
105#19127598C2211yescharacteristic, complemented
106#19127597C2211yescharacteristic, complemented
107#19127595C2211yescharacteristic, complemented
108#19127593C2211yescharacteristic, complemented
109#19127592C2211yescharacteristic
110#19127592C2211yescharacteristic
111#19127592C2211yescharacteristic
112#19127592C2211yescharacteristic
113#19127592C2211yescharacteristic
114#19127592C2211yescharacteristic
115#19127592C2211yescharacteristic
116#19127592C2211yescharacteristic
117#19127592C2211yescharacteristic, complemented
118#19127592C2211yescharacteristic, complemented
119#19127592C2211yescharacteristic, complemented
120#19127591C2211yescharacteristic
121#19127591C2211yescharacteristic
122#19127591C2211yescharacteristic
123#19127590C2211yescharacteristic
124#19127590C2211yescharacteristic
125#19127589C2211yescharacteristic, complemented
126#19127589C2211yescharacteristic, complemented
127#19127589C2211yescharacteristic, complemented
128#19127586C2211yescharacteristic, complemented
129#19127585C2211yescharacteristic, complemented
130#19127585C2211yescharacteristic, complemented
131#19127585C2211yescharacteristic, complemented
132#19127583C2211yescharacteristic, complemented
133#19127583C2211yescharacteristic, complemented
134#19127583C2211yescharacteristic, complemented
135#19127582C2211yescharacteristic, complemented
136#19127582C2211yescharacteristic, complemented
137#19127581C2211yescharacteristic
138#19127581C2211yescharacteristic
139#19127581C2211yescharacteristic, complemented
140#19127580C2211yescharacteristic
141#19127580C2211yescharacteristic
142#19127580C2211yescharacteristic
143#19127579C2211yescharacteristic
144#19127579C2211yescharacteristic
145#19127578C2211yescharacteristic
146#19127578C2211yescharacteristic
147#19127578C2211yescharacteristic
148#19127578C2211yescharacteristic
149#19127578C2211yescharacteristic, complemented
150#19127577C2211yescharacteristic, complemented
151#19127576C2211yescharacteristic
152#19127574C2211yescharacteristic
153#19127574C2211yescharacteristic
154#19127574C2211yescharacteristic
155#19127573C2211yescharacteristic, complemented
156#19127573C2211yescharacteristic, complemented
157#19127573C2211yescharacteristic, complemented
158#19127572C2211yescharacteristic, complemented
159#19127569C2211yescharacteristic, complemented
160#19127568C2211yescharacteristic, complemented
161#19127562C2211yescharacteristic
162#19127562C2211yescharacteristic, complemented
163#19127560C2211yescharacteristic, complemented
164#19127560C2211yescharacteristic, complemented
165#19127559C2211yescharacteristic
166#19127559C2211yescharacteristic, complemented
167#19127559C2211yescharacteristic, complemented
168#19127556C2211yescharacteristic
169C22⋊C4×Dic83C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172C2×#124×C83C2211yescharacteristic, complemented
173C2×C22⋊Q8×C83C2211yescharacteristic
174C2×#121×C83C2211yescharacteristic
175C22×C42×C83C2211yescharacteristic
176#391×C83C2211yescharacteristic, complemented
177#390×C83C2211yescharacteristic, complemented
178#388×C83C2211yescharacteristic, complemented
179#388×C83C2211yescharacteristic, complemented
180#388×C83C2211yescharacteristic, complemented
181#388×C83C2211yescharacteristic, complemented
182#386×C83C2211yescharacteristic
183#386×C83C2211yescharacteristic
184#386×C83C2211yescharacteristic
185#386×C83C2211yescharacteristic
186#382×C83C2211yescharacteristic, complemented
187C24×D83C2311yescharacteristic
188C2×#13050589—24no—
189C2×#13050589—42no—
190C2×#13050589—42no—
191C22×Dic166C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C23×Dic83C2311yescharacteristic
202C23×Dic83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C23×Dic83C2311yescharacteristic
205C23×Dic83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207#14581786—42no—
208#14581781—42no—
209#14581773—24no—
210#14581764—42no—
211#14581764—42no—
212#14581762—42no—
213#14581760—42no—
214#14581760—42no—
215D4×Dic83—42no—
216#14581748—42no—
217C2×C4⋊Dic83C2311yescharacteristic
218C2×C4⋊Dic83C2311yescharacteristic
219C2×C4⋊Dic83C2311yescharacteristic
220C2×Dic83⋊C4—42no—
221C2×Dic83⋊C4C2311yescharacteristic
222C2×Dic83⋊C4C2311yescharacteristic
223C2×Dic83⋊C4C2311yescharacteristic
224C2×Dic83⋊C4C2311yescharacteristic
225C2×Dic83⋊C4C2311yescharacteristic
226C2×Dic83⋊C4C2311yescharacteristic
227C2×Dic83⋊C4C2311yescharacteristic
228C2×Dic83⋊C4C2311yescharacteristic
229C2×Dic83⋊C4C2311yescharacteristic
230C2×Dic83⋊C4C2311yescharacteristic
231C2×Dic83⋊C4C2311yescharacteristic
232C2×Dic83⋊C4C2311yescharacteristic
233C2×Dic83⋊C4C2311yescharacteristic
234C2×Dic83⋊C4C2311yescharacteristic
235C2×Dic83⋊C4C2311yescharacteristic
236C2×Dic83⋊C4C2311yescharacteristic
237C2×Dic83⋊C4C2311yescharacteristic
238C2×C22⋊Dic83C2311yescharacteristic
239C2×C22⋊Dic83C2311yescharacteristic
240C2×C22⋊Dic83C2311yescharacteristic
241C2×C22⋊Dic83C2311yescharacteristic
242C2×C22⋊Dic83C2311yescharacteristic
243C2×C22⋊Dic83C2311yescharacteristic
244C2×C22⋊Dic83C2311yescharacteristic
245C2×C22⋊Dic83C2311yescharacteristic
246C2×C22⋊Dic83C2311yescharacteristic
247C2×C22⋊Dic83C2311yescharacteristic
248C2×C22⋊Dic83C2311yescharacteristic
249C2×(C2×D83)⋊C4—24no—
250C2×(C2×D83)⋊C4—42no—
251C2×(C2×D83)⋊C4—42no—
252C2×(C2×D83)⋊C4C2311yescharacteristic
253C2×(C2×D83)⋊C4C2311yescharacteristic
254C2×(C2×D83)⋊C4C2311yescharacteristic
255C2×(C2×D83)⋊C4C2311yescharacteristic
256C2×(C2×D83)⋊C4C2311yescharacteristic
257C2×(C2×D83)⋊C4C2311yescharacteristic
258C2×(C2×D83)⋊C4C2311yescharacteristic
259C2×(C2×D83)⋊C4C2311yescharacteristic
260C2×(C2×D83)⋊C4C2311yescharacteristic
261C2×(C2×D83)⋊C4C2311yescharacteristic
262C2×(C2×D83)⋊C4C2311yescharacteristic
263C2×(C2×D83)⋊C4C2311yescharacteristic
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×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×C4×Dic83C2311yescharacteristic
284C2×C4×Dic83C2311yescharacteristic
285C2×C4×Dic83C2311yescharacteristic
286C2×C4×Dic83C2311yescharacteristic
287C2×C4×Dic83C2311yescharacteristic
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
324C22×Q8×C83C2311yescharacteristic
325C22×D4×C83C2311yescharacteristic
326C22×D4×C83C2311yescharacteristic
327C22×D4×C83C2311yescharacteristic
328C23×C4×C83C2311yescharacteristic
329C23×C4×C83C2311yescharacteristic
330C23×C4×C83C2311yescharacteristic
331#124×C83—42no—
332C22⋊Q8×C83—42no—
333#121×C83—42no—
334C2×C4⋊C4×C83C2311yescharacteristic
335C2×C4⋊C4×C83C2311yescharacteristic
336C2×C4⋊C4×C83C2311yescharacteristic
337C2×C4⋊C4×C83C2311yescharacteristic
338C2×C22⋊C4×C83C2311yescharacteristic
339C2×C22⋊C4×C83C2311yescharacteristic
340C2×C22⋊C4×C83C2311yescharacteristic
341C2×C22⋊C4×C83C2311yescharacteristic
342C2×C22⋊C4×C83C2311yescharacteristic
343C2×C22⋊C4×C83C2311yescharacteristic
344C2×C22⋊C4×C83C2311yescharacteristic
345C2×C22⋊C4×C83C2311yescharacteristic
346C2×C22⋊C4×C83C2311yescharacteristic
347C2×C22⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C42×C83—42no—
351C2×C42×C83C2311yescharacteristic
352C2×C42×C83C2311yescharacteristic
353C2×C42×C83C2311yescharacteristic
354C2×C42×C83C2311yescharacteristic
355#95×C83C2311yescharacteristic
356#95×C83C2311yescharacteristic
357#95×C83C2311yescharacteristic
358#95×C83C2311yescharacteristic
359#95×C83C2311yescharacteristic
360#95×C83C2311yescharacteristic
361#95×C83C2311yescharacteristic
362#95×C83C2311yescharacteristic
363C23×D83—22no—
364C23×D83—22no—
365C23×D83—22no—
366C23×D83—41no—
367C23×D83—41no—
368C23×D83—41no—
369C23×D83—41no—
370C23×D83C2411yescharacteristic
371C23×D83C2411yescharacteristic
372C23×D83C2411yescharacteristic
373#13050589—416no—
374C2×Dic166—22no—
375C2×Dic166—41no—
376C2×Dic166—41no—
377C2×D332—41no—
378C2×D332—41no—
379C2×D332—41no—
380C2×D332—41no—
381C2×D332—41no—
382C2×D332—41no—
383C2×C22⋊D83—22no—
384C2×C22⋊D83—22no—
385C2×C22⋊D83—22no—
386C2×C22⋊D83—22no—
387C2×C22⋊D83—41no—
388C2×C22⋊D83—41no—
389C2×C22⋊D83—41no—
390C2×C22⋊D83—41no—
391C2×C22⋊D83—41no—
392C2×C22⋊D83—41no—
393C2×C22⋊D83—41no—
394C2×C22⋊D83—41no—
395C2×C22⋊D83—41no—
396C2×C22⋊D83—41no—
397C2×C22⋊D83—41no—
398C2×C22⋊D83—41no—
399C2×C22⋊D83—41no—
400C2×C22⋊D83—41no—
401C2×C22⋊D83—41no—
402C2×C22⋊D83—41no—
403C2×C22⋊D83—41no—
404C22×Dic83—22no—
405C22×Dic83—22no—
406C22×Dic83—22no—
407C22×Dic83—22no—
408C22×Dic83—22no—
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#4114yes—
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C22×Dic83C2411yescharacteristic
429C22×Dic83C2411yescharacteristic
430C22×Dic83C2411yescharacteristic
431C22×Dic83C2411yescharacteristic
432C2×C4×D83—22no—
433C2×C4×D83—41no—
434C2×C4×D83—41no—
435C4⋊Dic83—41no—
436C4⋊Dic83—41no—
437C4⋊Dic83—41no—
438Dic83⋊C4—22no—
439Dic83⋊C4—22no—
440Dic83⋊C4—22no—
441Dic83⋊C4—41no—
442Dic83⋊C4—41no—
443Dic83⋊C4—41no—
444Dic83⋊C4—41no—
445Dic83⋊C4—41no—
446Dic83⋊C4—41no—
447Dic83⋊C4—41no—
448Dic83⋊C4—41no—
449Dic83⋊C4—41no—
450Dic83⋊C4—41no—
451Dic83⋊C4—41no—
452Dic83⋊C4—41no—
453Dic83⋊C4—41no—
454Dic83⋊C4—41no—
455C22⋊Dic83—22no—
456C22⋊Dic83—22no—
457C22⋊Dic83—22no—
458C22⋊Dic83—22no—
459C22⋊Dic83—22no—
460C22⋊Dic83—41no—
461C22⋊Dic83—41no—
462C22⋊Dic83—41no—
463C22⋊Dic83—41no—
464C22⋊Dic83—41no—
465C22⋊Dic83—41no—
466(C2×D83)⋊C4—22no—
467(C2×D83)⋊C4—22no—
468(C2×D83)⋊C4—22no—
469(C2×D83)⋊C4—22no—
470(C2×D83)⋊C4—22no—
471(C2×D83)⋊C4—22no—
472(C2×D83)⋊C4—22no—
473(C2×D83)⋊C4—41no—
474(C2×D83)⋊C4—41no—
475(C2×D83)⋊C4—41no—
476(C2×D83)⋊C4—41no—
477(C2×D83)⋊C4—41no—
478(C2×D83)⋊C4—41no—
479(C2×D83)⋊C4—41no—
480(C2×D83)⋊C4—41no—
481(C2×D83)⋊C4—41no—
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—
490(C2×D83)⋊C4—41no—
491(C2×D83)⋊C4—41no—
492(C2×D83)⋊C4—41no—
493(C2×D83)⋊C4—41no—
494(C2×D83)⋊C4—41no—
495(C2×D83)⋊C4—41no—
496(C2×D83)⋊C4—41no—
497C4×Dic83—41no—
498C4×Dic83—41no—
499C4×Dic83—41no—
500C4×Dic83—41no—
501C4×Dic83—41no—
502C24×C83C2411yescharacteristic
503C24×C83C2411yescharacteristic
504C24×C83C2411yescharacteristic
505C2×Q8×C83—22no—
506C2×Q8×C83—41no—
507C2×Q8×C83—41no—
508C2×D4×C83—22no—
509C2×D4×C83—22no—
510C2×D4×C83—22no—
511C2×D4×C83—22no—
512C2×D4×C83—22no—
513C2×D4×C83—22no—
514C2×D4×C83—22no—
515C2×D4×C83—41no—
516C2×D4×C83—41no—
517C22×C4×C83—22no—
518C22×C4×C83—22no—
519C22×C4×C83—22no—
520C22×C4×C83—22no—
521C22×C4×C83—41no—
522C22×C4×C83—41no—
523C22×C4×C83—41no—
524C22×C4×C83—41no—
525C22×C4×C83—41no—
526C22×C4×C83C2411yescharacteristic
527C22×C4×C83C2411yescharacteristic
528C22×C4×C83C2411yescharacteristic
529C22×C4×C83C2411yescharacteristic
530C22×C4×C83C2411yescharacteristic
531C22×C4×C83C2411yescharacteristic
532C22×C4×C83C2411yescharacteristic
533C22×C4×C83C2411yescharacteristic
534C22×C4×C83C2411yescharacteristic
535C22×C4×C83C2411yescharacteristic
536C22×C4×C83C2411yescharacteristic
537C22×C4×C83C2411yescharacteristic
538C4⋊C4×C83—41no—
539C4⋊C4×C83—41no—
540C4⋊C4×C83—41no—
541C4⋊C4×C83—41no—
542C22⋊C4×C83—22no—
543C22⋊C4×C83—22no—
544C22⋊C4×C83—41no—
545C22⋊C4×C83—41no—
546C22⋊C4×C83—41no—
547C22⋊C4×C83—41no—
548C22⋊C4×C83—41no—
549C22⋊C4×C83—41no—
550C22⋊C4×C83—41no—
551C22⋊C4×C83—41no—
552C22⋊C4×C83—41no—
553C22⋊C4×C83—41no—
554C42×C83—22no—
555C42×C83—22no—
556C42×C83—41no—
557C42×C83—41no—
558C23×C83—21no—
559C23×C83—21no—
560C23×C83—21no—
561C23×C83—21no—
562C23×C83—21no—
563C23×C83—21no—
564C23×C83—21no—
565C23×C83—21no—
566C23×C83—21no—
567C23×C83—21no—
568C23×C83—21no—
569C23×C83—21no—
570C23×C83—21no—
571C23×C83—21no—
572C23×C83—21no—
573C23×C83—21no—
574C23×C83—21no—
575C23×C83—21no—
576C23×C83C2×#4112yes—
577C23×C83H(5,𝔽2)12yes—
578C23×C83H(5,𝔽2)12yes—
579C23×C83C2511yescharacteristic
580C22×D83—21no—
581C22×D83—21no—
582C22×D83—21no—
583C22×D83—21no—
584C22×D83—21no—
585C22×D83—21no—
586C22×D83—21no—
587C22×D83—21no—
588C22×D83—21no—
589C22×D83—21no—
590C22×D83—21no—
591C22×D83—21no—
592C22×D83—21no—
593C22×D83—21no—
594C22×D83—21no—
595C22×D83—21no—
596C22×D83—21no—
597C22×D83—21no—
598C22×D83—21no—
599C22×D83—21no—
600C22×D83—21no—
601C22×D83—44no—
602C22×D83—44no—
603C22×D83—44no—
604C22×D83—82no—
605C22×D83—82no—
606C22×D83—82no—
607C22×D83—82no—
608Q8×C83—82no—
609D4×C83—44no—
610D4×C83—44no—
611D4×C83—82no—
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—21no—
642C2×C4×C83—21no—
643C2×C4×C83—21no—
644C2×C4×C83—21no—
645C2×C4×C83—21no—
646C2×C4×C83—21no—
647C2×C4×C83—44no—
648C2×C4×C83—44no—
649C2×C4×C83—44no—
650C2×C4×C83H(5,𝔽2)12yes—
651C22⋊D83—44no—
652C22⋊D83—44no—
653C22⋊D83—82no—
654C22⋊D83—82no—
655C22⋊D83—82no—
656C22⋊D83—82no—
657C22⋊D83—82no—
658C2×Dic83—28no—
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—44no—
697C2×Dic83—82no—
698C2×Dic83—82no—
699C2×Dic83—82no—
700C2×Dic83C2×#4112yes—
701C2×Dic83C2×#4112yes—
702D332—82no—
703D332—82no—
704C4×D83—44no—
705Dic166—44no—
706C22×C83—22no—
707C22×C83—22no—
708C22×C83—22no—
709C22×C83—22no—
710C22×C83—22no—
711C22×C83—22no—
712C22×C83—41no—
713C22×C83—41no—
714C22×C83—41no—
715C22×C83—41no—
716C22×C83—41no—
717C22×C83—41no—
718C22×C83—41no—
719C22×C83—41no—
720C22×C83—41no—
721C22×C83—41no—
722C22×C83—41no—
723C22×C83—41no—
724C22×C83—41no—
725C22×C83—41no—
726C22×C83#53814yes—
727C22×C83C22×#4111yescharacteristic
728C22×C83C2×H(5,𝔽2)11yescharacteristic
729C22×C83C2×H(5,𝔽2)11yescharacteristic
730C22×C83C2×H(5,𝔽2)11yescharacteristic
731C22×C83#58511yescharacteristic
732C22×C83#58511yescharacteristic
733C22×C83#58511yescharacteristic
734C2×D83—41no—
735C2×D83—41no—
736C2×D83—41no—
737C2×D83—41no—
738C2×D83—41no—
739C2×D83—41no—
740C2×D83—41no—
741C2×D83—41no—
742C2×D83—41no—
743C2×D83—41no—
744C2×D83—41no—
745C2×D83—41no—
746C2×D83—41no—
747C2×D83—41no—
748C2×D83—41no—
749C2×D83—41no—
750C2×D83—41no—
751C2×D83—41no—
752C2×D83—41no—
753C2×D83—41no—
754C2×D83—41no—
755C2×D83—88no—
756C4×C83—22no—
757C4×C83—41no—
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—
767C4×C83—41no—
768Dic83—22no—
769Dic83—22no—
770Dic83—41no—
771Dic83—41no—
772Dic83—41no—
773Dic83—41no—
774Dic83—41no—
775Dic83—41no—
776Dic83—41no—
777Dic83—41no—
778Dic83—41no—
779Dic83—41no—
780Dic83—41no—
781#36795—831nomaximal, Sylow
782C2×C83—24no—
783C2×C83—81no—
784C2×C83—81no—
785C2×C83C2×#53811yescharacteristic
786C2×C83#349311yescharacteristic
787C2×C83#350611yescharacteristic
788C2×C83#353411yescharacteristic
789C2×C83#354211yescharacteristic
790C2×C83#354511yescharacteristic
791C2×C83#356011yescharacteristic
792D83—81no—
793D83—81no—
794D83—81no—
795#2852—831no—
796#2850D8311yescharacteristic, complemented
797#2808—831no—
798#2803—831no—
799#2803—831no—
800#2786—831no—
801#2781—831no—
802#2779—831no—
803#2778—831no—
804#2775—831no—
805#2759—831no—
806#2756—831no—
807#2756—831no—
808#2751—831no—
809#2733—831no—
810#2715—831no—
811#2714—831no—
812#2686—831no—
813#2622—831no—
814#2617—831no—
815#2510—831no—
816#2472—831no—
817#2444—831no—
818#2438—831no—
819#2430—831no—
820#2424—831no—
821#2411—831no—
822#2404—831no—
823#2322—831no—
824#2311—831no—
825C2×#388—831no—
826C83#3679511yescharacteristic, complemented, Sylow
827C22×#41—831no—
828C2×#126—831no—
829C2×#124—831no—
830C2×#124C2×D8311yescharacteristic, complemented
831C2×#123—831no—
832C2×C22⋊Q8C2×D8311yescharacteristic
833C2×#121—831no—
834C2×#121—831no—
835C2×#121C2×D8311yescharacteristic
836C2×#120—831no—
837C2×#120—831no—
838C2×#120—831no—
839C2×C4×D4—831no—
840C2×#117—831no—
841C22×C4⋊C4—831no—
842C22×C22⋊C4—831no—
843C22×C22⋊C4—831no—
844C22×C22⋊C4—831no—
845C22×C42C2×D8311yescharacteristic
846#401—831no—
847#400—831no—
848#400—831no—
849#400—831no—
850#398—831no—
851#398—831no—
852#397—831no—
853#397—831no—
854#397—831no—
855#397—831no—
856#397—831no—
857#397—831no—
858#397—831no—
859#397—831no—
860#397—831no—
861#397—831no—
862#397—831no—
863#396—831no—
864#396—831no—
865#396—831no—
866#395—831no—
867#395—831no—
868#394—831no—
869#394—831no—
870#394—831no—
871#394—831no—
872#394—831no—
873#394—831no—
874#394—831no—
875#394—831no—
876#394—831no—
877#394—831no—
878#394—831no—
879#394—831no—
880#394—831no—
881#394—831no—
882#394—831no—
883#394—831no—
884#393—831no—
885#393—831no—
886#393—831no—
887#393—831no—
888#392—831no—
889#392—831no—
890#392—831no—
891#392—831no—
892#392—831no—
893#392—831no—
894#391—831no—
895#391—831no—
896#391—831no—
897#391C2×D8311yescharacteristic, complemented
898#390—831no—
899#390—831no—
900#390—831no—
901#390—831no—
902#390—831no—
903#390—831no—
904#390C2×D8311yescharacteristic, complemented
905#389—831no—
906#389—831no—
907#389—831no—
908#388—831no—
909#388—831no—
910#388—831no—
911#388—831no—
912#388—831no—
913#388—831no—
914#388—831no—
915#388—831no—
916#388—831no—
917#388—831no—
918#388—831no—
919#388—831no—
920#388—831no—
921#388—831no—
922#388—831no—
923#388—831no—
924#388—831no—
925#388—831no—
926#388—831no—
927#388—831no—
928#388—831no—
929#388C2×D8311yescharacteristic, complemented
930#388C2×D8311yescharacteristic, complemented
931#388C2×D8311yescharacteristic, complemented
932#388C2×D8311yescharacteristic, complemented
933#387—831no—
934#387—831no—
935#387—831no—
936#387—831no—
937#387—831no—
938#387—831no—
939#387—831no—
940#387—831no—
941#387—831no—
942#386—831no—
943#386—831no—
944#386—831no—
945#386—831no—
946#386—831no—
947#386—831no—
948#386—831no—
949#386—831no—
950#386—831no—
951#386—831no—
952#386—831no—
953#386—831no—
954#386—831no—
955#386—831no—
956#386C2×D8311yescharacteristic
957#386C2×D8311yescharacteristic
958#386C2×D8311yescharacteristic
959#386C2×D8311yescharacteristic
960#385—831no—
961#385—831no—
962#385—831no—
963#385—831no—
964#385—831no—
965#385—831no—
966#385—831no—
967#385—831no—
968#383—831no—
969#383—831no—
970#382C2×D8311yescharacteristic, complemented
971#381—831no—
972#381—831no—
973#380—831no—
974#380—831no—
975#380—831no—
976#380—831no—
977#380—831no—
978#379—831no—
979C4×C22⋊C4—831no—
980C2×#95—831no—
981C2×#95—831no—
982C25—831no—
983C2×#41—3322no—
984C2×#41—3322no—
985C2×#41—1664no—
986C22×Q8—831no—
987C22×Q8C22×D8311yescharacteristic
988C22×D4—831no—
989C22×D4—831no—
990C22×D4—831no—
991C22×D4—831no—
992C22×D4—831no—
993C22×D4—831no—
994C22×D4—831no—
995C22×D4—831no—
996C22×D4—831no—
997C22×D4C22×D8311yescharacteristic
998C22×D4C22×D8311yescharacteristic
999C22×D4C22×D8311yescharacteristic
1000C23×C4—831no—
1001C23×C4—831no—
1002C23×C4—831no—
1003C23×C4—831no—
1004C23×C4—831no—
1005C23×C4—831no—
1006C23×C4C22×D8311yescharacteristic
1007C23×C4C22×D8311yescharacteristic
1008C23×C4C22×D8311yescharacteristic
1009#126—3322no—
1010#124—42no—
1011#124—3322no—
1012#123—1664no—
1013C22⋊Q8—42no—
1014#121—42no—
1015#121—3322no—
1016#121—3322no—
1017#120—3322no—
1018#120—3322no—
1019#120—3322no—
1020C4×D4—3322no—
1021#117—3322no—
1022C2×C4⋊C4—3322no—
1023C2×C4⋊C4—831no—
1024C2×C4⋊C4—831no—
1025C2×C4⋊C4—831no—
1026C2×C4⋊C4—831no—
1027C2×C4⋊C4—831no—
1028C2×C4⋊C4—831no—
1029C2×C4⋊C4—831no—
1030C2×C4⋊C4—831no—
1031C2×C4⋊C4—831no—
1032C2×C4⋊C4—831no—
1033C2×C4⋊C4—831no—
1034C2×C4⋊C4—831no—
1035C2×C4⋊C4—831no—
1036C2×C4⋊C4—831no—
1037C2×C4⋊C4—831no—
1038C2×C4⋊C4—831no—
1039C2×C4⋊C4—831no—
1040C2×C4⋊C4—831no—
1041C2×C4⋊C4—831no—
1042C2×C4⋊C4—831no—
1043C2×C4⋊C4C22×D8311yescharacteristic
1044C2×C4⋊C4C22×D8311yescharacteristic
1045C2×C4⋊C4C22×D8311yescharacteristic
1046C2×C4⋊C4C22×D8311yescharacteristic
1047C2×C22⋊C4—3322no—
1048C2×C22⋊C4—3322no—
1049C2×C22⋊C4—831no—
1050C2×C22⋊C4—831no—
1051C2×C22⋊C4—831no—
1052C2×C22⋊C4—831no—
1053C2×C22⋊C4—831no—
1054C2×C22⋊C4—831no—
1055C2×C22⋊C4—831no—
1056C2×C22⋊C4—831no—
1057C2×C22⋊C4—831no—
1058C2×C22⋊C4—831no—
1059C2×C22⋊C4—831no—
1060C2×C22⋊C4—831no—
1061C2×C22⋊C4—831no—
1062C2×C22⋊C4—831no—
1063C2×C22⋊C4—831no—
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⋊C4—831no—
1091C2×C22⋊C4—1664no—
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×C22⋊C4C22×D8311yescharacteristic
1103C2×C22⋊C4C22×D8311yescharacteristic
1104C2×C42—42no—
1105C2×C42—831no—
1106C2×C42—831no—
1107C2×C42—831no—
1108C2×C42—831no—
1109C2×C42—831no—
1110C2×C42C22×D8311yescharacteristic
1111C2×C42C22×D8311yescharacteristic
1112C2×C42C22×D8311yescharacteristic
1113C2×C42C22×D8311yescharacteristic
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#95C22×D8311yescharacteristic
1151#95C22×D8311yescharacteristic
1152#95C22×D8311yescharacteristic
1153#95C22×D8311yescharacteristic
1154#95C22×D8311yescharacteristic
1155#95C22×D8311yescharacteristic
1156#95C22×D8311yescharacteristic
1157#95C22×D8311yescharacteristic
1158C24—3321no—
1159C24—3321no—
1160C24—3321no—
1161C24—3321no—
1162C24—831no—
1163C24—831no—
1164C24—831no—
1165C24—1662no—
1166C24—1662no—
1167C24—1662no—
1168C24C23×D8311yescharacteristic
1169C24C23×D8311yescharacteristic
1170C24C23×D8311yescharacteristic
1171#41—33216no—
1172C2×Q8—22no—
1173C2×Q8—41no—
1174C2×Q8—41no—
1175C2×Q8—3321no—
1176C2×Q8—3321no—
1177C2×Q8—1662no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—3321no—
1188C2×D4—3321no—
1189C2×D4—3321no—
1190C2×D4—3321no—
1191C2×D4—3321no—
1192C2×D4—3321no—
1193C2×D4—3321no—
1194C2×D4—3321no—
1195C2×D4—3321no—
1196C2×D4—3321no—
1197C2×D4—3321no—
1198C2×D4—3321no—
1199C2×D4—3321no—
1200C2×D4—3321no—
1201C2×D4—3321no—
1202C2×D4—3321no—
1203C2×D4—3321no—
1204C2×D4—3321no—
1205C2×D4—3321no—
1206C2×D4—3321no—
1207C2×D4—3321no—
1208C2×D4—3321no—
1209C2×D4—3321no—
1210C2×D4—1662no—
1211C2×D4—1662no—
1212C2×D4—1662no—
1213C2×D4—1662no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—3321no—
1224C22×C4—3321no—
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—834no—
1235C22×C4—831no—
1236C22×C4—831no—
1237C22×C4—831no—
1238C22×C4—831no—
1239C22×C4—831no—
1240C22×C4—831no—
1241C22×C4—831no—
1242C22×C4—831no—
1243C22×C4—831no—
1244C22×C4—831no—
1245C22×C4—831no—
1246C22×C4—831no—
1247C22×C4—831no—
1248C22×C4—1662no—
1249C22×C4—1662no—
1250C22×C4—1662no—
1251C22×C4—1662no—
1252C22×C4—1662no—
1253C22×C4—1662no—
1254C22×C4C23×D8311yescharacteristic
1255C22×C4C23×D8311yescharacteristic
1256C22×C4C23×D8311yescharacteristic
1257C22×C4C23×D8311yescharacteristic
1258C22×C4C23×D8311yescharacteristic
1259C22×C4C23×D8311yescharacteristic
1260C22×C4C23×D8311yescharacteristic
1261C22×C4C23×D8311yescharacteristic
1262C22×C4C23×D8311yescharacteristic
1263C22×C4C23×D8311yescharacteristic
1264C22×C4C23×D8311yescharacteristic
1265C22×C4C23×D8311yescharacteristic
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—3321no—
1271C4⋊C4—3321no—
1272C4⋊C4—3321no—
1273C4⋊C4—3321no—
1274C4⋊C4—3321no—
1275C4⋊C4—3321no—
1276C4⋊C4—3321no—
1277C4⋊C4—3321no—
1278C4⋊C4—3321no—
1279C4⋊C4—3321no—
1280C4⋊C4—3321no—
1281C4⋊C4—3321no—
1282C4⋊C4—3321no—
1283C4⋊C4—3321no—
1284C4⋊C4—3321no—
1285C4⋊C4—3321no—
1286C4⋊C4—3321no—
1287C4⋊C4—1662no—
1288C4⋊C4—1662no—
1289C4⋊C4—1662no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—3321no—
1303C22⋊C4—3321no—
1304C22⋊C4—3321no—
1305C22⋊C4—3321no—
1306C22⋊C4—3321no—
1307C22⋊C4—3321no—
1308C22⋊C4—3321no—
1309C22⋊C4—3321no—
1310C22⋊C4—3321no—
1311C22⋊C4—3321no—
1312C22⋊C4—3321no—
1313C22⋊C4—3321no—
1314C22⋊C4—3321no—
1315C22⋊C4—3321no—
1316C22⋊C4—3321no—
1317C22⋊C4—3321no—
1318C22⋊C4—3321no—
1319C22⋊C4—3321no—
1320C22⋊C4—3321no—
1321C22⋊C4—3321no—
1322C22⋊C4—3321no—
1323C22⋊C4—3321no—
1324C22⋊C4—3321no—
1325C22⋊C4—3321no—
1326C22⋊C4—3321no—
1327C22⋊C4—3321no—
1328C22⋊C4—3321no—
1329C22⋊C4—3321no—
1330C22⋊C4—3321no—
1331C22⋊C4—3321no—
1332C22⋊C4—1662no—
1333C22⋊C4—1662no—
1334C22⋊C4—1662no—
1335C22⋊C4—1662no—
1336C22⋊C4—1662no—
1337C22⋊C4—1662no—
1338C22⋊C4—1662no—
1339C22⋊C4—1662no—
1340C22⋊C4—1662no—
1341C22⋊C4—1662no—
1342C22⋊C4—1662no—
1343C22⋊C4—1662no—
1344C42—22no—
1345C42—22no—
1346C42—41no—
1347C42—41no—
1348C42—3321no—
1349C42—3321no—
1350C42—3321no—
1351C42—3321no—
1352C42—3321no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—3324no—
1372C23—3324no—
1373C23—3324no—
1374C23—6642no—
1375C23—6642no—
1376C23—6642no—
1377C23—6642no—
1378C23—1661no—
1379C23—1661no—
1380C23—1661no—
1381C23—1661no—
1382C23—1661no—
1383C23—1661no—
1384C23—1661no—
1385C23—1661no—
1386C23—1661no—
1387C23—1661no—
1388C23—1661no—
1389C23—1661no—
1390C23—1661no—
1391C23—1661no—
1392C23—1661no—
1393C23—1661no—
1394C23—1661no—
1395C23—1661no—
1396C23—1661no—
1397C23—1661no—
1398C23—1661no—
1399C23#41×D8312yes—
1400C23#1458183712yes—
1401C23#1458183812yes—
1402C23C24×D8311yescharacteristic
1403Q8—82no—
1404Q8—3324no—
1405D4—44no—
1406D4—44no—
1407D4—82no—
1408D4—3324no—
1409D4—3324no—
1410D4—6642no—
1411D4—6642no—
1412D4—6642no—
1413D4—6642no—
1414D4—6642no—
1415D4—6642no—
1416D4—6642no—
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—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—44no—
1453C2×C4—44no—
1454C2×C4—44no—
1455C2×C4—3324no—
1456C2×C4—3324no—
1457C2×C4—832no—
1458C2×C4—832no—
1459C2×C4—6642no—
1460C2×C4—6642no—
1461C2×C4—6642no—
1462C2×C4—1661no—
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—1668no—
1500C2×C4#1458183712yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—3321no—
1522C22—3321no—
1523C22—3321no—
1524C22—3321no—
1525C22—3321no—
1526C22—3321no—
1527C22—3321no—
1528C22—3321no—
1529C22—3321no—
1530C22—3321no—
1531C22—3321no—
1532C22—3321no—
1533C22—3321no—
1534C22—3321no—
1535C22—3321no—
1536C22—3321no—
1537C22—3321no—
1538C22—3321no—
1539C22—3321no—
1540C22—3321no—
1541C22—3321no—
1542C22—6648no—
1543C22#1912828514yes—
1544C22C2×#41×D8311yescharacteristic
1545C22C2×#1458183711yescharacteristic
1546C22C2×#1458183711yescharacteristic
1547C22C2×#1458183811yescharacteristic
1548C22#1912853711yescharacteristic
1549C22#1912853711yescharacteristic
1550C22#1912853711yescharacteristic
1551C4—22no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—3321no—
1564C4—3321no—
1565C4—3321no—
1566C4—3321no—
1567C4—3321no—
1568C4—3321no—
1569C4—3321no—
1570C4—3321no—
1571C4—3321no—
1572C4—3321no—
1573C4—3321no—
1574C4—1662no—
1575C4—1662no—
1576C2—24no—
1577C2—81no—
1578C2—81no—
1579C2—6641no—
1580C2—6641no—
1581C2—6641no—
1582C2C2×#1912828511yescharacteristic
1583C2#2492117511yescharacteristic
1584C2#2492130611yescharacteristic
1585C2#2492165311yescharacteristic
1586C2#2492177111yescharacteristic
1587C2#2492181511yescharacteristic
1588C2#2492201911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2850C2
hypercenter#2850D83
hypocenterC83#36795
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2850

Complements

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

NH ≅ G/Ntype
1. #24915778C2semidirect
2. #24915438C2semidirect
3. #24915393C2semidirect
4. #24915391C2semidirect
5. #24915180C2semidirect
6. #24915122C2semidirect
7. #24915093C2semidirect
8. #24915076C2semidirect
9. #24915037C2semidirect
10. #24914830C2semidirect
11. #24914785C2semidirect
12. #24914783C2semidirect
13. #24914714C2semidirect
14. #24914487C2semidirect
15. #24914274C2semidirect
16. #24914259C2semidirect
17. #24913863C2semidirect
18. #24913240C2semidirect
19. #24913203C2semidirect
20. #24912021C2semidirect
21. #24911596C2semidirect
22. #24911211C2semidirect
23. #24911135C2semidirect
24. #24911069C2semidirect
25. #24911005C2semidirect
26. #24910851C2semidirect
27. #24910781C2semidirect
28. #24910137C2semidirect
29. #24910050C2semidirect
30. C2×#19127592C2semidirect
31. C83×#2850C2semidirect
33. C2×#14581786C22semidirect
47. C83⋊#401C22semidirect
48. #19127642C22semidirect
49. #19127641C22semidirect
50. #19127639C22semidirect
51. #19127634C22semidirect
52. #19127634C22semidirect
57. #19127629C22semidirect
58. #19127629C22semidirect
61. #19127628C22semidirect
63. #19127626C22semidirect
67. #19127621C22semidirect
68. #19127620C22semidirect
76. #19127617C22semidirect
84. #19127616C22semidirect
87. #19127613C22semidirect
94. #19127609C22semidirect
95. #19127608C22semidirect
96. #19127605C22semidirect
97. #19127605C22semidirect
102. #19127601C22semidirect
103. #19127601C22semidirect
104. #19127598C22semidirect
105. #19127598C22semidirect
106. #19127597C22semidirect
107. #19127595C22semidirect
108. #19127593C22semidirect
117. #19127592C22semidirect
118. #19127592C22semidirect
119. #19127592C22semidirect
125. #19127589C22semidirect
126. #19127589C22semidirect
127. #19127589C22semidirect
128. #19127586C22semidirect
129. #19127585C22semidirect
130. #19127585C22semidirect
131. #19127585C22semidirect
132. #19127583C22semidirect
133. #19127583C22semidirect
134. #19127583C22semidirect
135. #19127582C22semidirect
136. #19127582C22semidirect
139. #19127581C22semidirect
149. #19127578C22semidirect
150. #19127577C22semidirect
155. #19127573C22semidirect
156. #19127573C22semidirect
157. #19127573C22semidirect
158. #19127572C22semidirect
159. #19127569C22semidirect
160. #19127568C22semidirect
162. #19127562C22semidirect
163. #19127560C22semidirect
164. #19127560C22semidirect
166. #19127559C22semidirect
167. #19127559C22semidirect
172. C2×#124×C83C22semidirect
176. #391×C83C22semidirect
177. #390×C83C22semidirect
178. #388×C83C22semidirect
179. #388×C83C22semidirect
180. #388×C83C22semidirect
181. #388×C83C22semidirect
186. #382×C83C22semidirect
796. #2850D83semidirect
826. C83#36795semidirect
830. C2×#124C2×D83semidirect
897. #391C2×D83semidirect
904. #390C2×D83semidirect
929. #388C2×D83semidirect
930. #388C2×D83semidirect
931. #388C2×D83semidirect
932. #388C2×D83semidirect
970. #382C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157782
#249154382
#249153932
#249153912
#249151802
#249151222
#249150932
#249150762
#249150372
#249148302
#249147852
#249147832
#249147142
#249144872
#249142742
#249142592
#249138632
#249132402
#249132032
#249120212
#249115962
#249112112
#249111352
#249110692
#249110052
#249108512
#249107812
#249101372
#249100502
C2×#191275922
C83×#28502
#3679583