Finite Group Databasebeta

← #35611614

Subgroups — #35611614

Order 21248.

2130 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915743C211yesmaximal, characteristic, complemented
2#24915743C211yesmaximal, characteristic, complemented
3#24914608C211yesmaximal, characteristic, complemented
4#24914604C211yesmaximal, characteristic, complemented
5#24914600C211yesmaximal, characteristic, complemented
6#24914596C211yesmaximal, characteristic, complemented
7#24914569C211yesmaximal, characteristic, complemented
8#24914565C211yesmaximal, characteristic, complemented
9#24914561C211yesmaximal, characteristic, complemented
10#24914557C211yesmaximal, characteristic, complemented
11#24914053C211yesmaximal, characteristic, complemented
12#24914051C211yesmaximal, characteristic, complemented
13#24914048C211yesmaximal, characteristic, complemented
14#24914046C211yesmaximal, characteristic, complemented
15#24913905C211yesmaximal, characteristic, complemented
16#24913901C211yesmaximal, characteristic, complemented
17#24913897C211yesmaximal, characteristic, complemented
18#24913893C211yesmaximal, characteristic, complemented
19#24913567C211yesmaximal, characteristic, complemented
20#24913435C211yesmaximal, characteristic, complemented
21#24911217C211yesmaximal, characteristic, complemented
22#24911215C211yesmaximal, characteristic, complemented
23#24911209C211yesmaximal, characteristic, complemented
24#24911207C211yesmaximal, characteristic, complemented
25#24911003C211yesmaximal, characteristic, complemented
26#24910999C211yesmaximal, characteristic, complemented
27#24910995C211yesmaximal, characteristic, complemented
28#24910164C211yesmaximal, characteristic, complemented
29#24910161C211yesmaximal, characteristic, complemented
30C2×#19127562C211yesmaximal, characteristic, complemented
31C83×#2424C211yesmaximal, characteristic, complemented
32C24×Dic83C2211yescharacteristic
33C2×#14581766C2211yescharacteristic
34C2×#14581765C2211yescharacteristic
35C2×#14581764C2211yescharacteristic
36C2×#14581764C2211yescharacteristic
37C2×#14581764C2211yescharacteristic
38C2×#14581764C2211yescharacteristic
39C2×#14581764C2211yescharacteristic
40C2×#14581764C2211yescharacteristic
41C2×#14581764C2211yescharacteristic
42C2×#14581764C2211yescharacteristic
43C2×#14581764C2211yescharacteristic
44C2×#14581763C2211yescharacteristic
45C2×#14581761C2211yescharacteristic
46C2×#14581761C2211yescharacteristic
47C2×D4×Dic83C2211yescharacteristic
48C2×C4×C22⋊D83C2211yescharacteristic
49C2×(C22⋊D83)⋊C4C2211yescharacteristic
50C22×C22⋊Dic83C2211yescharacteristic
51#19127643C2211yescharacteristic, complemented
52#19127642C2211yescharacteristic, complemented
53#19127642C2211yescharacteristic, complemented
54#19127642C2211yescharacteristic, complemented
55#19127641C2211yescharacteristic, complemented
56#19127640C2211yescharacteristic, complemented
57#19127639C2211yescharacteristic, complemented
58#19127639C2211yescharacteristic, complemented
59#19127637C2211yescharacteristic, complemented
60#19127637C2211yescharacteristic, complemented
61#19127636C2211yescharacteristic, complemented
62#19127636C2211yescharacteristic, complemented
63#19127635C2211yescharacteristic, complemented
64#19127634C2211yescharacteristic, complemented
65#19127632C2211yescharacteristic, complemented
66#19127631C2211yescharacteristic, complemented
67#19127630C2211yescharacteristic, complemented
68#19127629C2211yescharacteristic, complemented
69#19127629C2211yescharacteristic, complemented
70#19127629C2211yescharacteristic, complemented
71#19127628C2211yescharacteristic, complemented
72#19127627C2211yescharacteristic, complemented
73#19127627C2211yescharacteristic, complemented
74#19127626C2211yescharacteristic, complemented
75#19127624C2211yescharacteristic
76#19127624C2211yescharacteristic
77#19127624C2211yescharacteristic
78#19127618C2211yescharacteristic, complemented
79#19127617C2211yescharacteristic
80#19127617C2211yescharacteristic
81#19127617C2211yescharacteristic, complemented
82#19127616C2211yescharacteristic
83#19127616C2211yescharacteristic
84#19127616C2211yescharacteristic, complemented
85#19127615C2211yescharacteristic
86#19127615C2211yescharacteristic
87#19127615C2211yescharacteristic, complemented
88#19127610C2211yescharacteristic
89#19127610C2211yescharacteristic, complemented
90#19127610C2211yescharacteristic, complemented
91#19127609C2211yescharacteristic
92#19127609C2211yescharacteristic
93#19127609C2211yescharacteristic, complemented
94#19127609C2211yescharacteristic, complemented
95#19127604C2211yescharacteristic
96#19127601C2211yescharacteristic
97#19127601C2211yescharacteristic
98#19127595C2211yescharacteristic
99#19127595C2211yescharacteristic, complemented
100#19127594C2211yescharacteristic
101#19127594C2211yescharacteristic, complemented
102#19127592C2211yescharacteristic, complemented
103#19127592C2211yescharacteristic, complemented
104#19127591C2211yescharacteristic, complemented
105#19127590C2211yescharacteristic, complemented
106#19127589C2211yescharacteristic
107#19127589C2211yescharacteristic, complemented
108#19127589C2211yescharacteristic, complemented
109#19127588C2211yescharacteristic, complemented
110#19127587C2211yescharacteristic, complemented
111#19127585C2211yescharacteristic, complemented
112#19127585C2211yescharacteristic, complemented
113#19127584C2211yescharacteristic, complemented
114#19127583C2211yescharacteristic, complemented
115#19127582C2211yescharacteristic, complemented
116#19127582C2211yescharacteristic, complemented
117#19127581C2211yescharacteristic
118#19127581C2211yescharacteristic
119#19127581C2211yescharacteristic
120#19127581C2211yescharacteristic
121#19127581C2211yescharacteristic
122#19127581C2211yescharacteristic
123#19127581C2211yescharacteristic
124#19127581C2211yescharacteristic
125#19127581C2211yescharacteristic, complemented
126#19127580C2211yescharacteristic
127#19127580C2211yescharacteristic, complemented
128#19127580C2211yescharacteristic, complemented
129#19127579C2211yescharacteristic, complemented
130#19127578C2211yescharacteristic
131#19127578C2211yescharacteristic
132#19127578C2211yescharacteristic
133#19127578C2211yescharacteristic
134#19127578C2211yescharacteristic
135#19127578C2211yescharacteristic
136#19127578C2211yescharacteristic
137#19127578C2211yescharacteristic, complemented
138#19127577C2211yescharacteristic
139#19127577C2211yescharacteristic
140#19127577C2211yescharacteristic, complemented
141#19127577C2211yescharacteristic, complemented
142#19127577C2211yescharacteristic, complemented
143#19127576C2211yescharacteristic
144#19127575C2211yescharacteristic, complemented
145#19127574C2211yescharacteristic
146#19127574C2211yescharacteristic, complemented
147#19127573C2211yescharacteristic
148#19127573C2211yescharacteristic, complemented
149#19127572C2211yescharacteristic, complemented
150#19127564C2211yescharacteristic, complemented
151#19127563C2211yescharacteristic, complemented
152#19127563C2211yescharacteristic, complemented
153#19127562C2211yescharacteristic
154#19127562C2211yescharacteristic
155#19127562C2211yescharacteristic
156#19127562C2211yescharacteristic
157#19127562C2211yescharacteristic
158#19127562C2211yescharacteristic
159#19127562C2211yescharacteristic
160#19127562C2211yescharacteristic
161#19127562C2211yescharacteristic, complemented
162#19127559C2211yescharacteristic
163#19127559C2211yescharacteristic
164#19127559C2211yescharacteristic
165#19127559C2211yescharacteristic
166#19127559C2211yescharacteristic
167#19127559C2211yescharacteristic
168C2×C83⋊#95C2211yescharacteristic
169C2×C83⋊#95C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172C2×#121×C83C2211yescharacteristic
173C2×#121×C83C2211yescharacteristic
174C2×#120×C83C2211yescharacteristic
175C2×#120×C83C2211yescharacteristic
176C2×C4×D4×C83C2211yescharacteristic
177C22×C22⋊C4×C83C2211yescharacteristic
178#396×C83C2211yescharacteristic
179#394×C83C2211yescharacteristic
180#394×C83C2211yescharacteristic
181#392×C83C2211yescharacteristic
182#390×C83C2211yescharacteristic
183#388×C83C2211yescharacteristic
184#386×C83C2211yescharacteristic
185#386×C83C2211yescharacteristic
186#385×C83C2211yescharacteristic
187C22×D332C2311yescharacteristic
188C22×C22⋊D83C2311yescharacteristic
189C22×C22⋊D83C2311yescharacteristic
190C22×C22⋊D83C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C23×Dic83—24no—
199C23×Dic83—42no—
200C23×Dic83—42no—
201C23×Dic83C2311yescharacteristic
202C23×Dic83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C23×Dic83C2311yescharacteristic
205C23×Dic83C2311yescharacteristic
206C23×Dic83C2311yescharacteristic
207C23×Dic83C2311yescharacteristic
208C23×Dic83C2311yescharacteristic
209C23×Dic83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212#14581766—42no—
213#14581765—42no—
214#14581764—24no—
215#14581764—24no—
216#14581764—42no—
217#14581764—42no—
218#14581764—42no—
219#14581764—42no—
220#14581764—42no—
221#14581764—42no—
222#14581764—42no—
223#14581763—42no—
224#14581761—42no—
225#14581761—42no—
226D4×Dic83—42no—
227C4×C22⋊D83—42no—
228(C22⋊D83)⋊C4—42no—
229C2×C4⋊Dic83C2311yescharacteristic
230C2×C4⋊Dic83C2311yescharacteristic
231C2×C4⋊Dic83C2311yescharacteristic
232C2×C4⋊Dic83C2311yescharacteristic
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×C22⋊Dic83—42no—
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×C22⋊Dic83C2311yescharacteristic
265C2×C22⋊Dic83C2311yescharacteristic
266C2×C22⋊Dic83C2311yescharacteristic
267C2×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
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×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
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
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C25×C83C2311yescharacteristic
329C22×D4×C83C2311yescharacteristic
330C22×D4×C83C2311yescharacteristic
331C22×D4×C83C2311yescharacteristic
332C22×D4×C83C2311yescharacteristic
333C22×D4×C83C2311yescharacteristic
334C22×D4×C83C2311yescharacteristic
335C22×D4×C83C2311yescharacteristic
336C23×C4×C83C2311yescharacteristic
337C23×C4×C83C2311yescharacteristic
338C23×C4×C83C2311yescharacteristic
339#121×C83—42no—
340#121×C83—42no—
341#120×C83—42no—
342#120×C83—42no—
343C4×D4×C83—42no—
344C2×C4⋊C4×C83C2311yescharacteristic
345C2×C4⋊C4×C83C2311yescharacteristic
346C2×C4⋊C4×C83C2311yescharacteristic
347C2×C4⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83—42no—
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×C22⋊C4×C83C2311yescharacteristic
361C2×C22⋊C4×C83C2311yescharacteristic
362C2×C22⋊C4×C83C2311yescharacteristic
363C2×C22⋊C4×C83C2311yescharacteristic
364C2×C42×C83C2311yescharacteristic
365#95×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369C23×D83C2411yescharacteristic
370C23×D83C2411yescharacteristic
371C2×D332—41no—
372C2×D332—41no—
373C2×D332—41no—
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—22no—
384C2×C22⋊D83—22no—
385C2×C22⋊D83—22no—
386C2×C22⋊D83—41no—
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—22no—
410C22×Dic83—22no—
411C22×Dic83—22no—
412C22×Dic83—22no—
413C22×Dic83—22no—
414C22×Dic83—22no—
415C22×Dic83—41no—
416C22×Dic83—41no—
417C22×Dic83—41no—
418C22×Dic83—41no—
419C22×Dic83—41no—
420C22×Dic83—41no—
421C22×Dic83—41no—
422C22×Dic83—41no—
423C22×Dic83—41no—
424C22×Dic83—41no—
425C22×Dic83—41no—
426C22×Dic83—41no—
427C22×Dic83—41no—
428C22×Dic83—41no—
429C22×Dic83—41no—
430C22×Dic83—416no—
431C22×Dic83#4114yes—
432C22×Dic83C2411yescharacteristic
433C22×Dic83C2411yescharacteristic
434C22×Dic83C2411yescharacteristic
435C22×Dic83C2411yescharacteristic
436C22×Dic83C2411yescharacteristic
437C22×Dic83C2411yescharacteristic
438C22×Dic83C2411yescharacteristic
439C22×Dic83C2411yescharacteristic
440C22×Dic83C2411yescharacteristic
441C22×Dic83C2411yescharacteristic
442C22×Dic83C2411yescharacteristic
443C22×Dic83C2411yescharacteristic
444C22×Dic83C2411yescharacteristic
445C22×Dic83C2411yescharacteristic
446C2×C4×D83—41no—
447C2×C4×D83—41no—
448C2×C4×D83—41no—
449C2×C4×D83—41no—
450C2×C4×D83—41no—
451C2×C4×D83—41no—
452C4⋊Dic83—41no—
453C4⋊Dic83—41no—
454C4⋊Dic83—41no—
455C4⋊Dic83—41no—
456Dic83⋊C4—22no—
457Dic83⋊C4—22no—
458Dic83⋊C4—41no—
459Dic83⋊C4—41no—
460Dic83⋊C4—41no—
461Dic83⋊C4—41no—
462Dic83⋊C4—41no—
463Dic83⋊C4—41no—
464Dic83⋊C4—41no—
465Dic83⋊C4—41no—
466Dic83⋊C4—41no—
467Dic83⋊C4—41no—
468Dic83⋊C4—41no—
469Dic83⋊C4—41no—
470C22⋊Dic83—22no—
471C22⋊Dic83—22no—
472C22⋊Dic83—22no—
473C22⋊Dic83—22no—
474C22⋊Dic83—22no—
475C22⋊Dic83—22no—
476C22⋊Dic83—41no—
477C22⋊Dic83—41no—
478C22⋊Dic83—41no—
479C22⋊Dic83—41no—
480C22⋊Dic83—41no—
481C22⋊Dic83—41no—
482C22⋊Dic83—41no—
483C22⋊Dic83—41no—
484C22⋊Dic83—41no—
485C22⋊Dic83—41no—
486C22⋊Dic83—41no—
487C22⋊Dic83—41no—
488C22⋊Dic83—41no—
489C22⋊Dic83—41no—
490C22⋊Dic83—41no—
491(C2×D83)⋊C4—22no—
492(C2×D83)⋊C4—22no—
493(C2×D83)⋊C4—41no—
494(C2×D83)⋊C4—41no—
495(C2×D83)⋊C4—41no—
496(C2×D83)⋊C4—41no—
497(C2×D83)⋊C4—41no—
498(C2×D83)⋊C4—41no—
499(C2×D83)⋊C4—41no—
500(C2×D83)⋊C4—41no—
501(C2×D83)⋊C4—41no—
502(C2×D83)⋊C4—41no—
503(C2×D83)⋊C4—41no—
504(C2×D83)⋊C4—41no—
505(C2×D83)⋊C4—41no—
506(C2×D83)⋊C4—41no—
507C4×Dic83—41no—
508C4×Dic83—41no—
509C4×Dic83—41no—
510C24×C83—22no—
511C24×C83—22no—
512C24×C83—22no—
513C24×C83—22no—
514C24×C83—22no—
515C24×C83—41no—
516C24×C83—41no—
517C24×C83C2411yescharacteristic
518C24×C83C2411yescharacteristic
519C24×C83C2411yescharacteristic
520C24×C83C2411yescharacteristic
521C24×C83C2411yescharacteristic
522C2×D4×C83—22no—
523C2×D4×C83—22no—
524C2×D4×C83—22no—
525C2×D4×C83—22no—
526C2×D4×C83—22no—
527C2×D4×C83—22no—
528C2×D4×C83—22no—
529C2×D4×C83—22no—
530C2×D4×C83—22no—
531C2×D4×C83—22no—
532C2×D4×C83—41no—
533C2×D4×C83—41no—
534C2×D4×C83—41no—
535C2×D4×C83—41no—
536C2×D4×C83—41no—
537C2×D4×C83—41no—
538C2×D4×C83—41no—
539C2×D4×C83—41no—
540C2×D4×C83—41no—
541C2×D4×C83—41no—
542C2×D4×C83—41no—
543C22×C4×C83—22no—
544C22×C4×C83—22no—
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×C83C2411yescharacteristic
553C22×C4×C83C2411yescharacteristic
554C22×C4×C83C2411yescharacteristic
555C22×C4×C83C2411yescharacteristic
556C22×C4×C83C2411yescharacteristic
557C22×C4×C83C2411yescharacteristic
558C22×C4×C83C2411yescharacteristic
559C22×C4×C83C2411yescharacteristic
560C22×C4×C83C2411yescharacteristic
561C22×C4×C83C2411yescharacteristic
562C4⋊C4×C83—41no—
563C4⋊C4×C83—41no—
564C4⋊C4×C83—41no—
565C4⋊C4×C83—41no—
566C22⋊C4×C83—22no—
567C22⋊C4×C83—22no—
568C22⋊C4×C83—22no—
569C22⋊C4×C83—22no—
570C22⋊C4×C83—41no—
571C22⋊C4×C83—41no—
572C22⋊C4×C83—41no—
573C22⋊C4×C83—41no—
574C22⋊C4×C83—41no—
575C22⋊C4×C83—41no—
576C22⋊C4×C83—41no—
577C22⋊C4×C83—41no—
578C22⋊C4×C83—41no—
579C22⋊C4×C83—41no—
580C22⋊C4×C83—41no—
581C42×C83—41no—
582C23×C83—21no—
583C23×C83—21no—
584C23×C83—21no—
585C23×C83—21no—
586C23×C83—28no—
587C23×C83—21no—
588C23×C83—21no—
589C23×C83—21no—
590C23×C83—21no—
591C23×C83—21no—
592C23×C83—21no—
593C23×C83—21no—
594C23×C83—21no—
595C23×C83—21no—
596C23×C83—21no—
597C23×C83—21no—
598C23×C83—21no—
599C23×C83—21no—
600C23×C83—21no—
601C23×C83—21no—
602C23×C83—21no—
603C23×C83—21no—
604C23×C83—21no—
605C23×C83—21no—
606C23×C83—21no—
607C23×C83—21no—
608C23×C83—21no—
609C23×C83—21no—
610C23×C83—21no—
611C23×C83—21no—
612C23×C83—21no—
613C23×C83—44no—
614C23×C83—44no—
615C23×C83—44no—
616C23×C83—44no—
617C23×C83—44no—
618C23×C83—44no—
619C23×C83C2×#4112yes—
620C23×C83H(5,𝔽2)12yes—
621C23×C83H(5,𝔽2)12yes—
622C23×C83H(5,𝔽2)12yes—
623C23×C83H(5,𝔽2)12yes—
624C23×C83C2511yescharacteristic
625C22×D83—21no—
626C22×D83—21no—
627C22×D83—21no—
628C22×D83—21no—
629C22×D83—21no—
630C22×D83—21no—
631C22×D83—21no—
632C22×D83—21no—
633C22×D83—21no—
634C22×D83—21no—
635C22×D83—21no—
636C22×D83—21no—
637C22×D83—21no—
638C22×D83—21no—
639D4×C83—44no—
640D4×C83—44no—
641D4×C83—82no—
642D4×C83—82no—
643D4×C83—82no—
644D4×C83—82no—
645D4×C83—82no—
646C2×C4×C83—21no—
647C2×C4×C83—21no—
648C2×C4×C83—21no—
649C2×C4×C83—21no—
650C2×C4×C83—21no—
651C2×C4×C83—21no—
652C2×C4×C83—21no—
653C2×C4×C83—21no—
654C2×C4×C83—21no—
655C2×C4×C83—21no—
656C2×C4×C83—21no—
657C2×C4×C83—21no—
658C2×C4×C83—21no—
659C2×C4×C83—21no—
660C2×C4×C83—21no—
661C2×C4×C83—21no—
662C2×C4×C83—21no—
663C2×C4×C83—21no—
664C2×C4×C83—21no—
665C2×C4×C83—21no—
666C2×C4×C83—21no—
667C2×C4×C83—21no—
668C2×C4×C83—21no—
669C2×C4×C83—21no—
670C2×C4×C83—21no—
671C2×C4×C83—21no—
672C2×C4×C83—21no—
673C2×C4×C83—21no—
674C2×C4×C83—21no—
675C2×C4×C83—21no—
676C2×C4×C83—82no—
677C2×C4×C83—82no—
678C2×C4×C83—82no—
679C22⋊D83—44no—
680C22⋊D83—44no—
681C22⋊D83—82no—
682C22⋊D83—82no—
683C22⋊D83—82no—
684C22⋊D83—82no—
685C22⋊D83—82no—
686C22⋊D83—82no—
687C22⋊D83—82no—
688C22⋊D83—82no—
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—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—21no—
707C2×Dic83—21no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—21no—
711C2×Dic83—21no—
712C2×Dic83—21no—
713C2×Dic83—21no—
714C2×Dic83—21no—
715C2×Dic83—21no—
716C2×Dic83—21no—
717C2×Dic83—21no—
718C2×Dic83—21no—
719C2×Dic83—21no—
720C2×Dic83—21no—
721C2×Dic83—21no—
722C2×Dic83—21no—
723C2×Dic83—21no—
724C2×Dic83—21no—
725C2×Dic83—21no—
726C2×Dic83—21no—
727C2×Dic83—21no—
728C2×Dic83—21no—
729C2×Dic83—44no—
730C2×Dic83—44no—
731C2×Dic83—44no—
732C2×Dic83—44no—
733C2×Dic83—44no—
734C2×Dic83—44no—
735C2×Dic83—82no—
736C2×Dic83—82no—
737C2×Dic83—82no—
738C2×Dic83C2×#4112yes—
739C2×Dic83C2×#4112yes—
740D332—82no—
741C4×D83—82no—
742C4×D83—82no—
743C22×C83—22no—
744C22×C83—22no—
745C22×C83—22no—
746C22×C83—22no—
747C22×C83—22no—
748C22×C83—22no—
749C22×C83—22no—
750C22×C83—22no—
751C22×C83—22no—
752C22×C83—22no—
753C22×C83—22no—
754C22×C83—22no—
755C22×C83—416no—
756C22×C83—41no—
757C22×C83—41no—
758C22×C83—41no—
759C22×C83—41no—
760C22×C83—41no—
761C22×C83—41no—
762C22×C83—41no—
763C22×C83—41no—
764C22×C83—41no—
765C22×C83—41no—
766C22×C83—41no—
767C22×C83—41no—
768C22×C83—41no—
769C22×C83—41no—
770C22×C83—41no—
771C22×C83—41no—
772C22×C83—41no—
773C22×C83—41no—
774C22×C83—41no—
775C22×C83—41no—
776C22×C83—41no—
777C22×C83—41no—
778C22×C83#54014yes—
779C22×C83C22×#4111yescharacteristic
780C22×C83C2×H(5,𝔽2)11yescharacteristic
781C22×C83C2×H(5,𝔽2)11yescharacteristic
782C22×C83C2×H(5,𝔽2)11yescharacteristic
783C22×C83C2×H(5,𝔽2)11yescharacteristic
784C22×C83#58511yescharacteristic
785C22×C83#58511yescharacteristic
786C2×D83—41no—
787C2×D83—41no—
788C2×D83—41no—
789C2×D83—41no—
790C2×D83—41no—
791C2×D83—41no—
792C2×D83—41no—
793C2×D83—41no—
794C2×D83—41no—
795C2×D83—41no—
796C2×D83—41no—
797C2×D83—41no—
798C2×D83—41no—
799C2×D83—41no—
800C4×C83—41no—
801C4×C83—41no—
802C4×C83—41no—
803C4×C83—41no—
804C4×C83—41no—
805C4×C83—41no—
806C4×C83—41no—
807C4×C83—41no—
808C4×C83—41no—
809C4×C83—41no—
810Dic83—22no—
811Dic83—22no—
812Dic83—41no—
813Dic83—41no—
814Dic83—41no—
815Dic83—41no—
816Dic83—41no—
817Dic83—41no—
818Dic83—41no—
819Dic83—41no—
820Dic83—41no—
821Dic83—41no—
822Dic83—41no—
823Dic83—41no—
824#36731—831nomaximal, Sylow
825C2×C83—24no—
826C2×C83—42no—
827C2×C83—42no—
828C2×C83—81no—
829C2×C83—81no—
830C2×C83C2×#54011yescharacteristic
831C2×C83#349011yescharacteristic
832C2×C83#349311yescharacteristic
833C2×C83#353411yescharacteristic
834C2×C83#353411yescharacteristic
835C2×C83#353411yescharacteristic
836C2×C83#353411yescharacteristic
837D83—81no—
838D83—81no—
839#2847—831no—
840#2847—831no—
841#2743—831no—
842#2743—831no—
843#2743—831no—
844#2743—831no—
845#2740—831no—
846#2740—831no—
847#2740—831no—
848#2740—831no—
849#2699—831no—
850#2699—831no—
851#2699—831no—
852#2699—831no—
853#2688—831no—
854#2688—831no—
855#2688—831no—
856#2688—831no—
857#2656—831no—
858#2646—831no—
859#2444—831no—
860#2444—831no—
861#2444—831no—
862#2444—831no—
863#2424—831no—
864#2424—831no—
865#2424—831no—
866#2424D8311yescharacteristic, complemented
867#2325—831no—
868#2325—831no—
869C2×#381—831no—
870C83#3673111yescharacteristic, complemented, Sylow
871C24×C4—831no—
872C2×#121—831no—
873C2×#121—831no—
874C2×#121—831no—
875C2×#121—831no—
876C2×#121—831no—
877C2×#121—831no—
878C2×#121—831no—
879C2×#121—831no—
880C2×#121—831no—
881C2×#121—831no—
882C2×#121—831no—
883C2×#121—831no—
884C2×#121C2×D8311yescharacteristic
885C2×#121C2×D8311yescharacteristic
886C2×#120—831no—
887C2×#120—831no—
888C2×#120C2×D8311yescharacteristic
889C2×#120C2×D8311yescharacteristic
890C2×C4×D4—831no—
891C2×C4×D4—831no—
892C2×C4×D4—831no—
893C2×C4×D4C2×D8311yescharacteristic
894C22×C22⋊C4—831no—
895C22×C22⋊C4C2×D8311yescharacteristic
896#400—831no—
897#400—831no—
898#400—831no—
899#400—831no—
900#400—831no—
901#400—831no—
902#400—831no—
903#400—831no—
904#399—831no—
905#399—831no—
906#399—831no—
907#399—831no—
908#398—831no—
909#398—831no—
910#398—831no—
911#398—831no—
912#397—831no—
913#397—831no—
914#397—831no—
915#397—831no—
916#397—831no—
917#397—831no—
918#397—831no—
919#397—831no—
920#396—831no—
921#396—831no—
922#396—831no—
923#396C2×D8311yescharacteristic
924#394—831no—
925#394—831no—
926#394—831no—
927#394—831no—
928#394—831no—
929#394—831no—
930#394—831no—
931#394—831no—
932#394—831no—
933#394—831no—
934#394C2×D8311yescharacteristic
935#394C2×D8311yescharacteristic
936#392—831no—
937#392—831no—
938#392—831no—
939#392—831no—
940#392—831no—
941#392—831no—
942#392—831no—
943#392C2×D8311yescharacteristic
944#390—831no—
945#390—831no—
946#390—831no—
947#390C2×D8311yescharacteristic
948#388—831no—
949#388—831no—
950#388—831no—
951#388—831no—
952#388—831no—
953#388—831no—
954#388—831no—
955#388—831no—
956#388—831no—
957#388—831no—
958#388—831no—
959#388C2×D8311yescharacteristic
960#387—831no—
961#387—831no—
962#387—831no—
963#387—831no—
964#387—831no—
965#387—831no—
966#387—831no—
967#387—831no—
968#386—831no—
969#386—831no—
970#386—831no—
971#386—831no—
972#386—831no—
973#386—831no—
974#386—831no—
975#386—831no—
976#386—831no—
977#386—831no—
978#386—831no—
979#386—831no—
980#386—831no—
981#386—831no—
982#386—831no—
983#386—831no—
984#386—831no—
985#386—831no—
986#386—831no—
987#386—831no—
988#386—831no—
989#386—831no—
990#386—831no—
991#386—831no—
992#386—831no—
993#386—831no—
994#386C2×D8311yescharacteristic
995#386C2×D8311yescharacteristic
996#385—831no—
997#385—831no—
998#385—831no—
999#385—831no—
1000#385—831no—
1001#385—831no—
1002#385—831no—
1003#385C2×D8311yescharacteristic
1004#381—831no—
1005#381—831no—
1006#381—831no—
1007#381—831no—
1008#381—831no—
1009#381—831no—
1010#381—831no—
1011#381—831no—
1012#381—831no—
1013#381—831no—
1014#381—831no—
1015#381—831no—
1016#380—831no—
1017#380—831no—
1018#380—831no—
1019#380—831no—
1020#380—831no—
1021#380—831no—
1022C2×#95—831no—
1023C2×#95—831no—
1024C2×#95—831no—
1025C2×#95—831no—
1026C25C22×D8311yescharacteristic
1027C22×D4—831no—
1028C22×D4—831no—
1029C22×D4—831no—
1030C22×D4—831no—
1031C22×D4—831no—
1032C22×D4—831no—
1033C22×D4—831no—
1034C22×D4—831no—
1035C22×D4—831no—
1036C22×D4—831no—
1037C22×D4—831no—
1038C22×D4C22×D8311yescharacteristic
1039C22×D4C22×D8311yescharacteristic
1040C22×D4C22×D8311yescharacteristic
1041C22×D4C22×D8311yescharacteristic
1042C22×D4C22×D8311yescharacteristic
1043C22×D4C22×D8311yescharacteristic
1044C22×D4C22×D8311yescharacteristic
1045C23×C4—3322no—
1046C23×C4—3322no—
1047C23×C4—831no—
1048C23×C4—831no—
1049C23×C4—831no—
1050C23×C4—831no—
1051C23×C4—831no—
1052C23×C4—831no—
1053C23×C4—831no—
1054C23×C4—831no—
1055C23×C4—831no—
1056C23×C4—831no—
1057C23×C4—831no—
1058C23×C4—1664no—
1059C23×C4C22×D8311yescharacteristic
1060C23×C4C22×D8311yescharacteristic
1061C23×C4C22×D8311yescharacteristic
1062#121—42no—
1063#121—42no—
1064#121—3322no—
1065#121—3322no—
1066#121—3322no—
1067#121—3322no—
1068#121—3322no—
1069#121—3322no—
1070#121—3322no—
1071#121—3322no—
1072#121—3322no—
1073#121—3322no—
1074#121—1664no—
1075#121—1664no—
1076#120—42no—
1077#120—42no—
1078#120—3322no—
1079#120—3322no—
1080C4×D4—42no—
1081C4×D4—3322no—
1082C4×D4—3322no—
1083C4×D4—3322no—
1084C2×C4⋊C4—831no—
1085C2×C4⋊C4—831no—
1086C2×C4⋊C4—831no—
1087C2×C4⋊C4—831no—
1088C2×C4⋊C4—831no—
1089C2×C4⋊C4—831no—
1090C2×C4⋊C4—831no—
1091C2×C4⋊C4—831no—
1092C2×C4⋊C4—831no—
1093C2×C4⋊C4—831no—
1094C2×C4⋊C4—831no—
1095C2×C4⋊C4—831no—
1096C2×C4⋊C4—831no—
1097C2×C4⋊C4—831no—
1098C2×C4⋊C4—831no—
1099C2×C4⋊C4—831no—
1100C2×C4⋊C4—831no—
1101C2×C4⋊C4—831no—
1102C2×C4⋊C4C22×D8311yescharacteristic
1103C2×C4⋊C4C22×D8311yescharacteristic
1104C2×C4⋊C4C22×D8311yescharacteristic
1105C2×C4⋊C4C22×D8311yescharacteristic
1106C2×C22⋊C4—42no—
1107C2×C22⋊C4—3322no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—831no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—831no—
1118C2×C22⋊C4—831no—
1119C2×C22⋊C4—831no—
1120C2×C22⋊C4—831no—
1121C2×C22⋊C4—831no—
1122C2×C22⋊C4—831no—
1123C2×C22⋊C4—831no—
1124C2×C22⋊C4—831no—
1125C2×C22⋊C4—831no—
1126C2×C22⋊C4—831no—
1127C2×C22⋊C4—831no—
1128C2×C22⋊C4—831no—
1129C2×C22⋊C4—831no—
1130C2×C22⋊C4—831no—
1131C2×C22⋊C4—831no—
1132C2×C22⋊C4—831no—
1133C2×C22⋊C4—831no—
1134C2×C22⋊C4—831no—
1135C2×C22⋊C4—831no—
1136C2×C22⋊C4—831no—
1137C2×C22⋊C4—831no—
1138C2×C22⋊C4—831no—
1139C2×C22⋊C4—831no—
1140C2×C22⋊C4—831no—
1141C2×C22⋊C4—831no—
1142C2×C22⋊C4—831no—
1143C2×C22⋊C4—831no—
1144C2×C22⋊C4—831no—
1145C2×C22⋊C4C22×D8311yescharacteristic
1146C2×C22⋊C4C22×D8311yescharacteristic
1147C2×C22⋊C4C22×D8311yescharacteristic
1148C2×C22⋊C4C22×D8311yescharacteristic
1149C2×C22⋊C4C22×D8311yescharacteristic
1150C2×C22⋊C4C22×D8311yescharacteristic
1151C2×C22⋊C4C22×D8311yescharacteristic
1152C2×C22⋊C4C22×D8311yescharacteristic
1153C2×C22⋊C4C22×D8311yescharacteristic
1154C2×C22⋊C4C22×D8311yescharacteristic
1155C2×C22⋊C4C22×D8311yescharacteristic
1156C2×C22⋊C4C22×D8311yescharacteristic
1157C2×C22⋊C4C22×D8311yescharacteristic
1158C2×C22⋊C4C22×D8311yescharacteristic
1159C2×C22⋊C4C22×D8311yescharacteristic
1160C2×C42—831no—
1161C2×C42—831no—
1162C2×C42—831no—
1163C2×C42C22×D8311yescharacteristic
1164#95—831no—
1165#95—831no—
1166#95—831no—
1167#95—831no—
1168#95—831no—
1169#95—831no—
1170#95—831no—
1171#95—831no—
1172#95—831no—
1173#95—831no—
1174#95—831no—
1175#95—831no—
1176#95—831no—
1177#95—831no—
1178#95—831no—
1179#95—831no—
1180#95—831no—
1181#95—831no—
1182#95—831no—
1183#95—831no—
1184#95—831no—
1185#95—831no—
1186#95—831no—
1187#95—831no—
1188#95—831no—
1189#95—831no—
1190#95—831no—
1191#95—831no—
1192#95—831no—
1193#95—831no—
1194#95—831no—
1195#95—831no—
1196#95—831no—
1197#95—831no—
1198#95—831no—
1199#95—831no—
1200#95—831no—
1201#95—831no—
1202#95—831no—
1203#95—831no—
1204#95C22×D8311yescharacteristic
1205#95C22×D8311yescharacteristic
1206#95C22×D8311yescharacteristic
1207#95C22×D8311yescharacteristic
1208C24—22no—
1209C24—22no—
1210C24—22no—
1211C24—22no—
1212C24—22no—
1213C24—41no—
1214C24—41no—
1215C24—831no—
1216C24—831no—
1217C24C23×D8311yescharacteristic
1218C24C23×D8311yescharacteristic
1219C24C23×D8311yescharacteristic
1220C24C23×D8311yescharacteristic
1221C24C23×D8311yescharacteristic
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—3321no—
1244C2×D4—3321no—
1245C2×D4—3321no—
1246C2×D4—3321no—
1247C2×D4—3321no—
1248C2×D4—3321no—
1249C2×D4—3321no—
1250C2×D4—3321no—
1251C2×D4—3321no—
1252C2×D4—3321no—
1253C2×D4—3321no—
1254C2×D4—3321no—
1255C2×D4—3321no—
1256C2×D4—3321no—
1257C2×D4—3321no—
1258C2×D4—3321no—
1259C2×D4—3321no—
1260C2×D4—3321no—
1261C2×D4—3321no—
1262C2×D4—3321no—
1263C2×D4—3321no—
1264C2×D4—1662no—
1265C2×D4—1662no—
1266C2×D4—1662no—
1267C2×D4—1662no—
1268C2×D4—1662no—
1269C2×D4—1662no—
1270C2×D4—1662no—
1271C2×D4—1662no—
1272C2×D4—1662no—
1273C2×D4—1662no—
1274C2×D4—1662no—
1275C2×D4—1662no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—3321no—
1286C22×C4—3321no—
1287C22×C4—3321no—
1288C22×C4—3321no—
1289C22×C4—3321no—
1290C22×C4—3321no—
1291C22×C4—33216no—
1292C22×C4—3321no—
1293C22×C4—3321no—
1294C22×C4—3321no—
1295C22×C4—3321no—
1296C22×C4—3321no—
1297C22×C4—3321no—
1298C22×C4—3321no—
1299C22×C4—3321no—
1300C22×C4—3321no—
1301C22×C4—3321no—
1302C22×C4—3321no—
1303C22×C4—3321no—
1304C22×C4—3321no—
1305C22×C4—3321no—
1306C22×C4—3321no—
1307C22×C4—834no—
1308C22×C4—831no—
1309C22×C4—831no—
1310C22×C4—831no—
1311C22×C4—831no—
1312C22×C4—831no—
1313C22×C4—831no—
1314C22×C4—831no—
1315C22×C4—831no—
1316C22×C4—831no—
1317C22×C4—831no—
1318C22×C4—831no—
1319C22×C4—831no—
1320C22×C4—831no—
1321C22×C4—831no—
1322C22×C4—1662no—
1323C22×C4—1662no—
1324C22×C4—1662no—
1325C22×C4—1662no—
1326C22×C4—1662no—
1327C22×C4—1662no—
1328C22×C4—1662no—
1329C22×C4—1662no—
1330C22×C4—1662no—
1331C22×C4—1662no—
1332C22×C4—1662no—
1333C22×C4C23×D8311yescharacteristic
1334C22×C4C23×D8311yescharacteristic
1335C22×C4C23×D8311yescharacteristic
1336C22×C4C23×D8311yescharacteristic
1337C22×C4C23×D8311yescharacteristic
1338C22×C4C23×D8311yescharacteristic
1339C22×C4C23×D8311yescharacteristic
1340C22×C4C23×D8311yescharacteristic
1341C22×C4C23×D8311yescharacteristic
1342C22×C4C23×D8311yescharacteristic
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—3321no—
1348C4⋊C4—3321no—
1349C4⋊C4—3321no—
1350C4⋊C4—3321no—
1351C4⋊C4—3321no—
1352C4⋊C4—3321no—
1353C4⋊C4—3321no—
1354C4⋊C4—3321no—
1355C4⋊C4—3321no—
1356C4⋊C4—3321no—
1357C4⋊C4—3321no—
1358C4⋊C4—3321no—
1359C4⋊C4—3321no—
1360C4⋊C4—3321no—
1361C4⋊C4—3321no—
1362C4⋊C4—3321no—
1363C4⋊C4—1662no—
1364C4⋊C4—1662no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—3321no—
1381C22⋊C4—3321no—
1382C22⋊C4—3321no—
1383C22⋊C4—3321no—
1384C22⋊C4—3321no—
1385C22⋊C4—3321no—
1386C22⋊C4—3321no—
1387C22⋊C4—3321no—
1388C22⋊C4—3321no—
1389C22⋊C4—3321no—
1390C22⋊C4—3321no—
1391C22⋊C4—3321no—
1392C22⋊C4—3321no—
1393C22⋊C4—3321no—
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—3321no—
1404C22⋊C4—3321no—
1405C22⋊C4—3321no—
1406C22⋊C4—3321no—
1407C22⋊C4—3321no—
1408C22⋊C4—3321no—
1409C22⋊C4—1662no—
1410C22⋊C4—1662no—
1411C22⋊C4—1662no—
1412C22⋊C4—1662no—
1413C22⋊C4—1662no—
1414C22⋊C4—1662no—
1415C22⋊C4—1662no—
1416C22⋊C4—1662no—
1417C42—41no—
1418C42—3321no—
1419C42—3321no—
1420C42—3321no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—28no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—1661no—
1459C23—1661no—
1460C23—1661no—
1461C23—1661no—
1462C23—1661no—
1463C23—1661no—
1464C23—1661no—
1465C23—1661no—
1466C23—1661no—
1467C23—1661no—
1468C23—1661no—
1469C23—1661no—
1470C23—1661no—
1471C23—1661no—
1472C23#41×D8312yes—
1473C23#1458183712yes—
1474C23#1458183712yes—
1475C23#1458183712yes—
1476C23#1458183812yes—
1477C23C24×D8311yescharacteristic
1478D4—44no—
1479D4—44no—
1480D4—82no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—3324no—
1486D4—3324no—
1487D4—6642no—
1488D4—6642no—
1489D4—6642no—
1490D4—6642no—
1491D4—6642no—
1492D4—6642no—
1493D4—6642no—
1494D4—6642no—
1495D4—6642no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—3324no—
1530C2×C4—3324no—
1531C2×C4—3324no—
1532C2×C4—3324no—
1533C2×C4—3324no—
1534C2×C4—3324no—
1535C2×C4—832no—
1536C2×C4—832no—
1537C2×C4—6642no—
1538C2×C4—6642no—
1539C2×C4—6642no—
1540C2×C4—6642no—
1541C2×C4—6642no—
1542C2×C4—1661no—
1543C2×C4—1661no—
1544C2×C4—1661no—
1545C2×C4—1661no—
1546C2×C4—1661no—
1547C2×C4—1661no—
1548C2×C4—1661no—
1549C2×C4—1661no—
1550C2×C4—1661no—
1551C2×C4—1661no—
1552C2×C4—1661no—
1553C2×C4—1661no—
1554C2×C4—1661no—
1555C2×C4—1661no—
1556C2×C4—1661no—
1557C2×C4—1661no—
1558C2×C4—1661no—
1559C2×C4—1661no—
1560C2×C4—1661no—
1561C2×C4—1661no—
1562C2×C4—1661no—
1563C2×C4—1661no—
1564C2×C4—1661no—
1565C2×C4—1661no—
1566C2×C4—1661no—
1567C2×C4—1661no—
1568C2×C4—1661no—
1569C2×C4—1661no—
1570C2×C4—1661no—
1571C2×C4—1661no—
1572C2×C4—1661no—
1573C2×C4—1661no—
1574C2×C4—1661no—
1575C2×C4—1661no—
1576C2×C4—1661no—
1577C2×C4—1661no—
1578C2×C4—1661no—
1579C2×C4—1661no—
1580C2×C4—1661no—
1581C2×C4—1661no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—416no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—3321no—
1618C22—3321no—
1619C22—3321no—
1620C22—3321no—
1621C22—3321no—
1622C22—3321no—
1623C22—3321no—
1624C22—3321no—
1625C22—3321no—
1626C22—3321no—
1627C22—3321no—
1628C22—3321no—
1629C22—3321no—
1630C22—3321no—
1631C22#1912830114yes—
1632C22C2×#41×D8311yescharacteristic
1633C22C2×#1458183711yescharacteristic
1634C22C2×#1458183711yescharacteristic
1635C22C2×#1458183711yescharacteristic
1636C22C2×#1458183811yescharacteristic
1637C22#1912853611yescharacteristic
1638C22#1912853611yescharacteristic
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—3321no—
1650C4—3321no—
1651C4—3321no—
1652C4—3321no—
1653C4—3321no—
1654C4—3321no—
1655C4—3321no—
1656C4—3321no—
1657C4—3321no—
1658C4—3321no—
1659C4—3321no—
1660C4—3321no—
1661C4—1662no—
1662C4—1662no—
1663C2—24no—
1664C2—42no—
1665C2—42no—
1666C2—81no—
1667C2—81no—
1668C2—6641no—
1669C2—6641no—
1670C2C2×#1912830111yescharacteristic
1671C2#2492114611yescharacteristic
1672C2#2492117811yescharacteristic
1673C2#2492164111yescharacteristic
1674C2#2492164111yescharacteristic
1675C2#2492164911yescharacteristic
1676C2#2492164911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2424C2
hypercenter#2424D83
hypocenterC83#36731
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. #24915743C2semidirect
2. #24915743C2semidirect
3. #24914608C2semidirect
4. #24914604C2semidirect
5. #24914600C2semidirect
6. #24914596C2semidirect
7. #24914569C2semidirect
8. #24914565C2semidirect
9. #24914561C2semidirect
10. #24914557C2semidirect
11. #24914053C2semidirect
12. #24914051C2semidirect
13. #24914048C2semidirect
14. #24914046C2semidirect
15. #24913905C2semidirect
16. #24913901C2semidirect
17. #24913897C2semidirect
18. #24913893C2semidirect
19. #24913567C2semidirect
20. #24913435C2semidirect
21. #24911217C2semidirect
22. #24911215C2semidirect
23. #24911209C2semidirect
24. #24911207C2semidirect
25. #24911003C2semidirect
26. #24910999C2semidirect
27. #24910995C2semidirect
28. #24910164C2semidirect
29. #24910161C2semidirect
30. C2×#19127562C2semidirect
31. C83×#2424C2semidirect
51. #19127643C22semidirect
52. #19127642C22semidirect
53. #19127642C22semidirect
54. #19127642C22semidirect
55. #19127641C22semidirect
56. #19127640C22semidirect
57. #19127639C22semidirect
58. #19127639C22semidirect
59. #19127637C22semidirect
60. #19127637C22semidirect
61. #19127636C22semidirect
62. #19127636C22semidirect
63. #19127635C22semidirect
64. #19127634C22semidirect
65. #19127632C22semidirect
66. #19127631C22semidirect
67. #19127630C22semidirect
68. #19127629C22semidirect
69. #19127629C22semidirect
70. #19127629C22semidirect
71. #19127628C22semidirect
72. #19127627C22semidirect
73. #19127627C22semidirect
74. #19127626C22semidirect
78. #19127618C22semidirect
81. #19127617C22semidirect
84. #19127616C22semidirect
87. #19127615C22semidirect
89. #19127610C22semidirect
90. #19127610C22semidirect
93. #19127609C22semidirect
94. #19127609C22semidirect
99. #19127595C22semidirect
101. #19127594C22semidirect
102. #19127592C22semidirect
103. #19127592C22semidirect
104. #19127591C22semidirect
105. #19127590C22semidirect
107. #19127589C22semidirect
108. #19127589C22semidirect
109. #19127588C22semidirect
110. #19127587C22semidirect
111. #19127585C22semidirect
112. #19127585C22semidirect
113. #19127584C22semidirect
114. #19127583C22semidirect
115. #19127582C22semidirect
116. #19127582C22semidirect
125. #19127581C22semidirect
127. #19127580C22semidirect
128. #19127580C22semidirect
129. #19127579C22semidirect
137. #19127578C22semidirect
140. #19127577C22semidirect
141. #19127577C22semidirect
142. #19127577C22semidirect
144. #19127575C22semidirect
146. #19127574C22semidirect
148. #19127573C22semidirect
149. #19127572C22semidirect
150. #19127564C22semidirect
151. #19127563C22semidirect
152. #19127563C22semidirect
161. #19127562C22semidirect
866. #2424D83semidirect
870. C83#36731semidirect

Maximal subgroups

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

subgroupindex
#249157432
#249146082
#249146042
#249146002
#249145962
#249145692
#249145652
#249145612
#249145572
#249140532
#249140512
#249140482
#249140462
#249139052
#249139012
#249138972
#249138932
#249135672
#249134352
#249112172
#249112152
#249112092
#249112072
#249110032
#249109992
#249109952
#249101642
#249101612
C2×#191275622
C83×#24242
#3673183