Finite Group Databasebeta

← #35613196

Subgroups — #35613196

Order 21248.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915745C211yesmaximal, characteristic, complemented
2#24915405C211yesmaximal, characteristic, complemented
3#24915320C211yesmaximal, characteristic, complemented
4#24915213C211yesmaximal, characteristic, complemented
5#24915161C211yesmaximal, characteristic, complemented
6#24915106C211yesmaximal, characteristic, complemented
7#24915082C211yesmaximal, characteristic, complemented
8#24914712C211yesmaximal, characteristic, complemented
9#24914697C211yesmaximal, characteristic, complemented
10#24914632C211yesmaximal, characteristic, complemented
11#24914262C211yesmaximal, characteristic, complemented
12#24914201C211yesmaximal, characteristic, complemented
13#24914184C211yesmaximal, characteristic, complemented
14#24914177C211yesmaximal, characteristic, complemented
15#24913994C211yesmaximal, characteristic, complemented
16#24913869C211yesmaximal, characteristic, complemented
17#24913828C211yesmaximal, characteristic, complemented
18#24913419C211yesmaximal, characteristic, complemented
19#24913393C211yesmaximal, characteristic, complemented
20#24911729C211yesmaximal, characteristic, complemented
21#24911586C211yesmaximal, characteristic, complemented
22#24911202C211yesmaximal, characteristic, complemented
23#24911137C211yesmaximal, characteristic, complemented
24#24911071C211yesmaximal, characteristic, complemented
25#24910995C211yesmaximal, characteristic, complemented
26#24910850C211yesmaximal, characteristic, complemented
27#24910779C211yesmaximal, characteristic, complemented
28#24910131C211yesmaximal, characteristic, complemented
29#24910050C211yesmaximal, characteristic, complemented
30C2×#19127574C211yesmaximal, characteristic, complemented
31C83×#2849C211yesmaximal, characteristic, complemented
32C22×#13050589C2211yescharacteristic
33C2×#14581785C2211yescharacteristic, complemented
34C2×#14581778C2211yescharacteristic
35C2×#14581777C2211yescharacteristic, complemented
36C2×#14581776C2211yescharacteristic
37C2×#14581769C2211yescharacteristic
38C2×#14581766C2211yescharacteristic
39C2×#14581766C2211yescharacteristic
40C2×#14581766C2211yescharacteristic
41C2×#14581764C2211yescharacteristic
42C2×#14581763C2211yescharacteristic
43C2×#14581761C2211yescharacteristic
44C2×#14581761C2211yescharacteristic
45C2×(C22⋊D83)⋊C4C2211yescharacteristic
46C2×#14581748C2211yescharacteristic
47C22×Dic83⋊C4C2211yescharacteristic
48C22×Dic83⋊C4C2211yescharacteristic
49C22×C22⋊Dic83C2211yescharacteristic
50C22×C22⋊Dic83C2211yescharacteristic
51C83⋊#401C2211yescharacteristic, complemented
52#19127643C2211yescharacteristic, complemented
53#19127643C2211yescharacteristic, complemented
54#19127642C2211yescharacteristic, complemented
55#19127642C2211yescharacteristic, complemented
56#19127641C2211yescharacteristic, complemented
57#19127641C2211yescharacteristic, complemented
58#19127640C2211yescharacteristic, complemented
59#19127639C2211yescharacteristic, complemented
60#19127636C2211yescharacteristic, complemented
61#19127634C2211yescharacteristic, complemented
62#19127631C2211yescharacteristic, complemented
63#19127631C2211yescharacteristic, complemented
64#19127630C2211yescharacteristic, complemented
65#19127630C2211yescharacteristic, complemented
66#19127630C2211yescharacteristic, complemented
67#19127629C2211yescharacteristic
68#19127629C2211yescharacteristic, complemented
69#19127629C2211yescharacteristic, complemented
70#19127628C2211yescharacteristic, complemented
71#19127627C2211yescharacteristic, complemented
72#19127624C2211yescharacteristic
73#19127624C2211yescharacteristic
74#19127624C2211yescharacteristic
75#19127624C2211yescharacteristic, complemented
76#19127623C2211yescharacteristic, complemented
77#19127622C2211yescharacteristic, complemented
78#19127622C2211yescharacteristic, complemented
79#19127619C2211yescharacteristic, complemented
80#19127617C2211yescharacteristic
81#19127617C2211yescharacteristic
82#19127617C2211yescharacteristic, complemented
83#19127617C2211yescharacteristic, complemented
84#19127616C2211yescharacteristic
85#19127616C2211yescharacteristic
86#19127616C2211yescharacteristic
87#19127616C2211yescharacteristic, complemented
88#19127615C2211yescharacteristic
89#19127614C2211yescharacteristic, complemented
90#19127614C2211yescharacteristic, complemented
91#19127613C2211yescharacteristic
92#19127613C2211yescharacteristic
93#19127613C2211yescharacteristic
94#19127613C2211yescharacteristic, complemented
95#19127610C2211yescharacteristic, complemented
96#19127609C2211yescharacteristic
97#19127609C2211yescharacteristic
98#19127609C2211yescharacteristic
99#19127606C2211yescharacteristic, complemented
100#19127605C2211yescharacteristic, complemented
101#19127605C2211yescharacteristic, complemented
102#19127604C2211yescharacteristic
103#19127601C2211yescharacteristic
104#19127601C2211yescharacteristic
105#19127601C2211yescharacteristic
106#19127601C2211yescharacteristic, complemented
107#19127601C2211yescharacteristic, complemented
108#19127600C2211yescharacteristic, complemented
109#19127597C2211yescharacteristic, complemented
110#19127597C2211yescharacteristic, complemented
111#19127594C2211yescharacteristic
112#19127594C2211yescharacteristic
113#19127594C2211yescharacteristic
114#19127590C2211yescharacteristic, complemented
115#19127590C2211yescharacteristic, complemented
116#19127590C2211yescharacteristic, complemented
117#19127589C2211yescharacteristic
118#19127589C2211yescharacteristic
119#19127589C2211yescharacteristic, complemented
120#19127588C2211yescharacteristic, complemented
121#19127588C2211yescharacteristic, complemented
122#19127586C2211yescharacteristic, complemented
123#19127586C2211yescharacteristic, complemented
124#19127584C2211yescharacteristic, complemented
125#19127584C2211yescharacteristic, complemented
126#19127583C2211yescharacteristic, complemented
127#19127581C2211yescharacteristic
128#19127581C2211yescharacteristic
129#19127581C2211yescharacteristic
130#19127581C2211yescharacteristic
131#19127580C2211yescharacteristic
132#19127580C2211yescharacteristic
133#19127580C2211yescharacteristic
134#19127580C2211yescharacteristic
135#19127580C2211yescharacteristic
136#19127580C2211yescharacteristic
137#19127579C2211yescharacteristic, complemented
138#19127578C2211yescharacteristic
139#19127578C2211yescharacteristic
140#19127578C2211yescharacteristic
141#19127578C2211yescharacteristic
142#19127578C2211yescharacteristic, complemented
143#19127577C2211yescharacteristic
144#19127577C2211yescharacteristic
145#19127577C2211yescharacteristic
146#19127576C2211yescharacteristic
147#19127576C2211yescharacteristic, complemented
148#19127575C2211yescharacteristic, complemented
149#19127574C2211yescharacteristic
150#19127574C2211yescharacteristic
151#19127574C2211yescharacteristic
152#19127574C2211yescharacteristic
153#19127574C2211yescharacteristic
154#19127574C2211yescharacteristic
155#19127574C2211yescharacteristic
156#19127574C2211yescharacteristic
157#19127573C2211yescharacteristic
158#19127572C2211yescharacteristic, complemented
159#19127572C2211yescharacteristic, complemented
160#19127572C2211yescharacteristic, complemented
161#19127562C2211yescharacteristic
162#19127561C2211yescharacteristic
163#19127561C2211yescharacteristic
164#19127561C2211yescharacteristic
165#19127560C2211yescharacteristic, complemented
166#19127560C2211yescharacteristic, complemented
167#19127559C2211yescharacteristic, complemented
168#19127559C2211yescharacteristic, complemented
169C22⋊C4×Dic83C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172C24×C4×C83C2211yescharacteristic
173C2×#123×C83C2211yescharacteristic
174C2×#123×C83C2211yescharacteristic
175C2×#120×C83C2211yescharacteristic
176#386×C83C2211yescharacteristic
177#386×C83C2211yescharacteristic
178#386×C83C2211yescharacteristic
179#386×C83C2211yescharacteristic
180#385×C83C2211yescharacteristic
181#385×C83C2211yescharacteristic
182#385×C83C2211yescharacteristic
183#385×C83C2211yescharacteristic
184#381×C83C2211yescharacteristic
185#381×C83C2211yescharacteristic
186#379×C83C2211yescharacteristic
187C2×#13050589—24no—
188C2×#13050589—42no—
189C2×#13050589—42no—
190C22×Dic166C2311yescharacteristic
191C22×Dic166C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
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
207C22×C4×D83C2311yescharacteristic
208#14581785—42no—
209#14581778—42no—
210#14581777—42no—
211#14581776—24no—
212#14581769—42no—
213#14581766—42no—
214#14581766—42no—
215#14581766—42no—
216#14581764—42no—
217#14581763—42no—
218#14581761—42no—
219#14581761—42no—
220(C22⋊D83)⋊C4—42no—
221#14581748—42no—
222C2×C4⋊Dic83C2311yescharacteristic
223C2×C4⋊Dic83C2311yescharacteristic
224C2×C4⋊Dic83C2311yescharacteristic
225C2×C4⋊Dic83C2311yescharacteristic
226C2×C4⋊Dic83C2311yescharacteristic
227C2×C4⋊Dic83C2311yescharacteristic
228C2×C4⋊Dic83C2311yescharacteristic
229C2×C4⋊Dic83C2311yescharacteristic
230C2×Dic83⋊C4—42no—
231C2×Dic83⋊C4—42no—
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⋊Dic83—24no—
249C2×C22⋊Dic83—42no—
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×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×C4×Dic83C2311yescharacteristic
288C2×C4×Dic83C2311yescharacteristic
289C2×C4×Dic83C2311yescharacteristic
290C2×C4×Dic83C2311yescharacteristic
291C2×C4×Dic83C2311yescharacteristic
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
332C23×C4×C83—42no—
333C23×C4×C83—42no—
334C23×C4×C83—42no—
335C23×C4×C83C2311yescharacteristic
336C23×C4×C83C2311yescharacteristic
337C23×C4×C83C2311yescharacteristic
338C23×C4×C83C2311yescharacteristic
339C23×C4×C83C2311yescharacteristic
340C23×C4×C83C2311yescharacteristic
341#123×C83—42no—
342#123×C83—42no—
343#120×C83—42no—
344C2×C4⋊C4×C83C2311yescharacteristic
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×C22⋊C4×C83C2311yescharacteristic
361#95×C83C2311yescharacteristic
362#95×C83C2311yescharacteristic
363#95×C83C2311yescharacteristic
364#95×C83C2311yescharacteristic
365#95×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369C23×D83C2411yescharacteristic
370C23×D83C2411yescharacteristic
371#13050589—416no—
372C2×Dic166—22no—
373C2×Dic166—41no—
374C2×Dic166—41no—
375C2×Dic166—41no—
376C2×Dic166—41no—
377C2×Dic166—41no—
378C2×D332—22no—
379C2×D332—41no—
380C2×D332—41no—
381C2×C22⋊D83—22no—
382C2×C22⋊D83—22no—
383C2×C22⋊D83—22no—
384C2×C22⋊D83—22no—
385C2×C22⋊D83—22no—
386C2×C22⋊D83—22no—
387C2×C22⋊D83—22no—
388C2×C22⋊D83—22no—
389C2×C22⋊D83—22no—
390C2×C22⋊D83—22no—
391C2×C22⋊D83—22no—
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—
404C2×C22⋊D83—41no—
405C22×Dic83—22no—
406C22×Dic83—22no—
407C22×Dic83—22no—
408C22×Dic83—22no—
409C22×Dic83—22no—
410C22×Dic83—22no—
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#4114yes—
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C22×Dic83C2411yescharacteristic
429C22×Dic83C2411yescharacteristic
430C22×Dic83C2411yescharacteristic
431C22×Dic83C2411yescharacteristic
432C22×Dic83C2411yescharacteristic
433C22×Dic83C2411yescharacteristic
434C2×C4×D83—22no—
435C2×C4×D83—41no—
436C2×C4×D83—41no—
437C2×C4×D83—41no—
438C2×C4×D83—41no—
439C2×C4×D83—41no—
440C4⋊Dic83—22no—
441C4⋊Dic83—22no—
442C4⋊Dic83—22no—
443C4⋊Dic83—41no—
444C4⋊Dic83—41no—
445C4⋊Dic83—41no—
446C4⋊Dic83—41no—
447C4⋊Dic83—41no—
448Dic83⋊C4—22no—
449Dic83⋊C4—22no—
450Dic83⋊C4—41no—
451Dic83⋊C4—41no—
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—41no—
473C22⋊Dic83—41no—
474C22⋊Dic83—41no—
475C22⋊Dic83—41no—
476C22⋊Dic83—41no—
477C22⋊Dic83—41no—
478C22⋊Dic83—41no—
479C22⋊Dic83—41no—
480C22⋊Dic83—41no—
481C22⋊Dic83—41no—
482C22⋊Dic83—41no—
483(C2×D83)⋊C4—22no—
484(C2×D83)⋊C4—22no—
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—
497(C2×D83)⋊C4—41no—
498(C2×D83)⋊C4—41no—
499(C2×D83)⋊C4—41no—
500(C2×D83)⋊C4—41no—
501C4×Dic83—41no—
502C4×Dic83—41no—
503C4×Dic83—41no—
504C4×Dic83—41no—
505C4×Dic83—41no—
506C24×C83—22no—
507C24×C83—22no—
508C24×C83—22no—
509C24×C83—22no—
510C24×C83—22no—
511C24×C83—41no—
512C24×C83—41no—
513C24×C83C2411yescharacteristic
514C24×C83C2411yescharacteristic
515C24×C83C2411yescharacteristic
516C24×C83C2411yescharacteristic
517C2×D4×C83—22no—
518C2×D4×C83—22no—
519C2×D4×C83—22no—
520C2×D4×C83—22no—
521C2×D4×C83—22no—
522C2×D4×C83—41no—
523C2×D4×C83—41no—
524C2×D4×C83—41no—
525C2×D4×C83—41no—
526C22×C4×C83—22no—
527C22×C4×C83—22no—
528C22×C4×C83—22no—
529C22×C4×C83—22no—
530C22×C4×C83—22no—
531C22×C4×C83—22no—
532C22×C4×C83—22no—
533C22×C4×C83—41no—
534C22×C4×C83—41no—
535C22×C4×C83—41no—
536C22×C4×C83—41no—
537C22×C4×C83—41no—
538C22×C4×C83—41no—
539C22×C4×C83—41no—
540C22×C4×C83—41no—
541C22×C4×C83—41no—
542C22×C4×C83—41no—
543C22×C4×C83—41no—
544C22×C4×C83—416no—
545C22×C4×C83C2411yescharacteristic
546C22×C4×C83C2411yescharacteristic
547C22×C4×C83C2411yescharacteristic
548C22×C4×C83C2411yescharacteristic
549C22×C4×C83C2411yescharacteristic
550C22×C4×C83C2411yescharacteristic
551C22×C4×C83C2411yescharacteristic
552C22×C4×C83C2411yescharacteristic
553C22×C4×C83C2411yescharacteristic
554C22×C4×C83C2411yescharacteristic
555C22×C4×C83C2411yescharacteristic
556C4⋊C4×C83—22no—
557C4⋊C4×C83—41no—
558C4⋊C4×C83—41no—
559C4⋊C4×C83—41no—
560C22⋊C4×C83—22no—
561C22⋊C4×C83—22no—
562C22⋊C4×C83—22no—
563C22⋊C4×C83—22no—
564C22⋊C4×C83—22no—
565C22⋊C4×C83—22no—
566C22⋊C4×C83—41no—
567C22⋊C4×C83—41no—
568C22⋊C4×C83—41no—
569C22⋊C4×C83—41no—
570C22⋊C4×C83—41no—
571C22⋊C4×C83—41no—
572C22⋊C4×C83—41no—
573C23×C83—21no—
574C23×C83—21no—
575C23×C83—21no—
576C23×C83—21no—
577C23×C83—28no—
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×C83—21no—
591C23×C83—21no—
592C23×C83—21no—
593C23×C83—21no—
594C23×C83—21no—
595C23×C83—21no—
596C23×C83—21no—
597C23×C83—44no—
598C23×C83—44no—
599C23×C83—44no—
600C23×C83—44no—
601C23×C83—44no—
602C23×C83—44no—
603C23×C83C2×#4112yes—
604C23×C83H(5,𝔽2)12yes—
605C23×C83H(5,𝔽2)12yes—
606C23×C83H(5,𝔽2)12yes—
607C23×C832−1+412yes—
608C23×C83C2511yescharacteristic
609C22×D83—21no—
610C22×D83—21no—
611C22×D83—21no—
612C22×D83—21no—
613C22×D83—21no—
614C22×D83—21no—
615C22×D83—21no—
616C22×D83—21no—
617C22×D83—21no—
618C22×D83—21no—
619C22×D83—21no—
620C22×D83—21no—
621C22×D83—21no—
622C22×D83—21no—
623D4×C83—44no—
624D4×C83—82no—
625D4×C83—82no—
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—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—44no—
659C2×C4×C83—44no—
660C2×C4×C83—44no—
661C2×C4×C83—44no—
662C2×C4×C83—44no—
663C2×C4×C83—44no—
664C2×C4×C83H(5,𝔽2)12yes—
665C22⋊D83—44no—
666C22⋊D83—44no—
667C22⋊D83—44no—
668C22⋊D83—82no—
669C22⋊D83—82no—
670C22⋊D83—82no—
671C22⋊D83—82no—
672C22⋊D83—82no—
673C2×Dic83—28no—
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—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—44no—
715C2×Dic83—44no—
716C2×Dic83—82no—
717C2×Dic83—82no—
718C2×Dic83C2×#4112yes—
719C2×Dic83C2×#4112yes—
720D332—82no—
721C4×D83—44no—
722C4×D83—82no—
723Dic166—44no—
724Dic166—82no—
725C22×C83—22no—
726C22×C83—22no—
727C22×C83—22no—
728C22×C83—22no—
729C22×C83—22no—
730C22×C83—22no—
731C22×C83—22no—
732C22×C83—22no—
733C22×C83—22no—
734C22×C83—22no—
735C22×C83—22no—
736C22×C83—22no—
737C22×C83—416no—
738C22×C83—41no—
739C22×C83—41no—
740C22×C83—41no—
741C22×C83—41no—
742C22×C83—41no—
743C22×C83—41no—
744C22×C83—41no—
745C22×C83—41no—
746C22×C83—41no—
747C22×C83—41no—
748C22×C83—41no—
749C22×C83—41no—
750C22×C83—41no—
751C22×C83—41no—
752C22×C83—41no—
753C22×C83#53814yes—
754C22×C83C22×#4111yescharacteristic
755C22×C83C2×H(5,𝔽2)11yescharacteristic
756C22×C83C2×H(5,𝔽2)11yescharacteristic
757C22×C83C2×H(5,𝔽2)11yescharacteristic
758C22×C83C2×H(5,𝔽2)11yescharacteristic
759C22×C83C2×2−1+411yescharacteristic
760C22×C83#58511yescharacteristic
761C2×D83—41no—
762C2×D83—41no—
763C2×D83—41no—
764C2×D83—41no—
765C2×D83—41no—
766C2×D83—41no—
767C2×D83—41no—
768C2×D83—41no—
769C2×D83—41no—
770C2×D83—41no—
771C2×D83—41no—
772C2×D83—41no—
773C2×D83—41no—
774C2×D83—41no—
775C4×C83—22no—
776C4×C83—41no—
777C4×C83—41no—
778C4×C83—41no—
779C4×C83—41no—
780C4×C83—41no—
781C4×C83—41no—
782C4×C83—41no—
783C4×C83—41no—
784C4×C83—41no—
785C4×C83—41no—
786Dic83—22no—
787Dic83—22no—
788Dic83—41no—
789Dic83—41no—
790Dic83—41no—
791Dic83—41no—
792Dic83—41no—
793Dic83—41no—
794Dic83—41no—
795Dic83—41no—
796Dic83—41no—
797Dic83—41no—
798Dic83—41no—
799Dic83—41no—
800#36791—831nomaximal, Sylow
801C2×C83—24no—
802C2×C83—42no—
803C2×C83—42no—
804C2×C83—81no—
805C2×C83C2×#53811yescharacteristic
806C2×C83#349211yescharacteristic
807C2×C83#350611yescharacteristic
808C2×C83#353211yescharacteristic
809C2×C83#353411yescharacteristic
810C2×C83#353511yescharacteristic
811C2×C83#353611yescharacteristic
812D83—81no—
813D83—81no—
814#2849D8311yescharacteristic, complemented
815#2847—831no—
816#2804—831no—
817#2797—831no—
818#2788—831no—
819#2784—831no—
820#2780—831no—
821#2778—831no—
822#2751—831no—
823#2750—831no—
824#2745—831no—
825#2714—831no—
826#2710—831no—
827#2708—831no—
828#2708—831no—
829#2695—831no—
830#2686—831no—
831#2682—831no—
832#2643—831no—
833#2639—831no—
834#2481—831no—
835#2472—831no—
836#2443—831no—
837#2438—831no—
838#2430—831no—
839#2424—831no—
840#2411—831no—
841#2404—831no—
842#2322—831no—
843#2311—831no—
844C2×#385—831no—
845C83#3679111yescharacteristic, complemented, Sylow
846C22×#41—831no—
847C24×C4C2×D8311yescharacteristic
848C2×#126—831no—
849C2×#124—831no—
850C2×#123—831no—
851C2×#123—831no—
852C2×#123C2×D8311yescharacteristic
853C2×#123C2×D8311yescharacteristic
854C2×C22⋊Q8—831no—
855C2×#121—831no—
856C2×#121—831no—
857C2×#121—831no—
858C2×#121—831no—
859C2×#121—831no—
860C2×#120—831no—
861C2×#120—831no—
862C2×#120C2×D8311yescharacteristic
863C2×C4×D4—831no—
864C2×#117—831no—
865C22×C4⋊C4—831no—
866C22×C4⋊C4—831no—
867C22×C22⋊C4—831no—
868C22×C22⋊C4—831no—
869#401—831no—
870#400—831no—
871#400—831no—
872#400—831no—
873#400—831no—
874#400—831no—
875#400—831no—
876#400—831no—
877#400—831no—
878#399—831no—
879#398—831no—
880#398—831no—
881#398—831no—
882#397—831no—
883#397—831no—
884#397—831no—
885#397—831no—
886#397—831no—
887#397—831no—
888#397—831no—
889#397—831no—
890#396—831no—
891#396—831no—
892#396—831no—
893#396—831no—
894#396—831no—
895#395—831no—
896#395—831no—
897#394—831no—
898#394—831no—
899#394—831no—
900#394—831no—
901#394—831no—
902#394—831no—
903#394—831no—
904#394—831no—
905#394—831no—
906#394—831no—
907#393—831no—
908#393—831no—
909#393—831no—
910#393—831no—
911#393—831no—
912#393—831no—
913#392—831no—
914#392—831no—
915#392—831no—
916#392—831no—
917#391—831no—
918#391—831no—
919#391—831no—
920#390—831no—
921#390—831no—
922#390—831no—
923#390—831no—
924#390—831no—
925#390—831no—
926#389—831no—
927#389—831no—
928#389—831no—
929#388—831no—
930#388—831no—
931#388—831no—
932#388—831no—
933#388—831no—
934#388—831no—
935#388—831no—
936#388—831no—
937#388—831no—
938#387—831no—
939#387—831no—
940#387—831no—
941#387—831no—
942#387—831no—
943#387—831no—
944#387—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#386—831no—
957#386—831no—
958#386—831no—
959#386—831no—
960#386—831no—
961#386—831no—
962#386—831no—
963#386—831no—
964#386C2×D8311yescharacteristic
965#386C2×D8311yescharacteristic
966#386C2×D8311yescharacteristic
967#386C2×D8311yescharacteristic
968#385—831no—
969#385—831no—
970#385—831no—
971#385—831no—
972#385—831no—
973#385—831no—
974#385—831no—
975#385—831no—
976#385—831no—
977#385—831no—
978#385—831no—
979#385—831no—
980#385—831no—
981#385—831no—
982#385—831no—
983#385C2×D8311yescharacteristic
984#385C2×D8311yescharacteristic
985#385C2×D8311yescharacteristic
986#385C2×D8311yescharacteristic
987#381—831no—
988#381C2×D8311yescharacteristic
989#381C2×D8311yescharacteristic
990#380—831no—
991#380—831no—
992#380—831no—
993#380—831no—
994#380—831no—
995#380—831no—
996#380—831no—
997#379C2×D8311yescharacteristic
998C4×C22⋊C4—831no—
999C2×#95—831no—
1000C2×#95—831no—
1001C25C22×D8311yescharacteristic
1002C2×#41—3322no—
1003C2×#41—3322no—
1004C2×#41—1664no—
1005C22×Q8—831no—
1006C22×Q8—831no—
1007C22×D4—831no—
1008C22×D4—831no—
1009C22×D4—831no—
1010C22×D4—831no—
1011C22×D4—831no—
1012C22×D4—831no—
1013C22×D4—831no—
1014C22×D4—831no—
1015C22×D4—831no—
1016C22×D4C22×D8311yescharacteristic
1017C22×D4C22×D8311yescharacteristic
1018C22×D4C22×D8311yescharacteristic
1019C23×C4—42no—
1020C23×C4—42no—
1021C23×C4—42no—
1022C23×C4—831no—
1023C23×C4—831no—
1024C23×C4—831no—
1025C23×C4—831no—
1026C23×C4—831no—
1027C23×C4—831no—
1028C23×C4—831no—
1029C23×C4C22×D8311yescharacteristic
1030C23×C4C22×D8311yescharacteristic
1031C23×C4C22×D8311yescharacteristic
1032C23×C4C22×D8311yescharacteristic
1033C23×C4C22×D8311yescharacteristic
1034C23×C4C22×D8311yescharacteristic
1035#126—3322no—
1036#124—3322no—
1037#123—42no—
1038#123—42no—
1039#123—3322no—
1040#123—1664no—
1041C22⋊Q8—3322no—
1042#121—3322no—
1043#121—3322no—
1044#121—3322no—
1045#121—3322no—
1046#121—3322no—
1047#120—42no—
1048#120—3322no—
1049#120—3322no—
1050C4×D4—3322no—
1051#117—3322no—
1052C2×C4⋊C4—3322no—
1053C2×C4⋊C4—3322no—
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⋊C4—831no—
1062C2×C4⋊C4—831no—
1063C2×C4⋊C4—831no—
1064C2×C4⋊C4—831no—
1065C2×C4⋊C4—831no—
1066C2×C4⋊C4—831no—
1067C2×C4⋊C4—831no—
1068C2×C4⋊C4—831no—
1069C2×C4⋊C4—831no—
1070C2×C4⋊C4—831no—
1071C2×C4⋊C4—831no—
1072C2×C4⋊C4—831no—
1073C2×C4⋊C4—831no—
1074C2×C4⋊C4—831no—
1075C2×C4⋊C4—831no—
1076C2×C4⋊C4—831no—
1077C2×C4⋊C4—831no—
1078C2×C4⋊C4C22×D8311yescharacteristic
1079C2×C4⋊C4C22×D8311yescharacteristic
1080C2×C4⋊C4C22×D8311yescharacteristic
1081C2×C4⋊C4C22×D8311yescharacteristic
1082C2×C22⋊C4—3322no—
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—831no—
1092C2×C22⋊C4—831no—
1093C2×C22⋊C4—831no—
1094C2×C22⋊C4—831no—
1095C2×C22⋊C4—831no—
1096C2×C22⋊C4—831no—
1097C2×C22⋊C4—831no—
1098C2×C22⋊C4—831no—
1099C2×C22⋊C4—831no—
1100C2×C22⋊C4—831no—
1101C2×C22⋊C4—831no—
1102C2×C22⋊C4—831no—
1103C2×C22⋊C4—831no—
1104C2×C22⋊C4—831no—
1105C2×C22⋊C4—831no—
1106C2×C22⋊C4—831no—
1107C2×C22⋊C4—831no—
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—1664no—
1121C2×C22⋊C4C22×D8311yescharacteristic
1122C2×C22⋊C4C22×D8311yescharacteristic
1123C2×C22⋊C4C22×D8311yescharacteristic
1124C2×C22⋊C4C22×D8311yescharacteristic
1125C2×C22⋊C4C22×D8311yescharacteristic
1126C2×C22⋊C4C22×D8311yescharacteristic
1127C2×C22⋊C4C22×D8311yescharacteristic
1128C2×C22⋊C4C22×D8311yescharacteristic
1129C2×C22⋊C4C22×D8311yescharacteristic
1130C2×C22⋊C4C22×D8311yescharacteristic
1131C2×C22⋊C4C22×D8311yescharacteristic
1132C2×C22⋊C4C22×D8311yescharacteristic
1133C2×C22⋊C4C22×D8311yescharacteristic
1134C2×C42—831no—
1135C2×C42—831no—
1136C2×C42—831no—
1137C2×C42—831no—
1138C2×C42—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#95—831no—
1159#95—831no—
1160#95—831no—
1161#95—831no—
1162#95—831no—
1163#95—831no—
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#95C22×D8311yescharacteristic
1176#95C22×D8311yescharacteristic
1177#95C22×D8311yescharacteristic
1178#95C22×D8311yescharacteristic
1179#95C22×D8311yescharacteristic
1180#95C22×D8311yescharacteristic
1181#95C22×D8311yescharacteristic
1182#95C22×D8311yescharacteristic
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—831no—
1191C24—831no—
1192C24C23×D8311yescharacteristic
1193C24C23×D8311yescharacteristic
1194C24C23×D8311yescharacteristic
1195C24C23×D8311yescharacteristic
1196#41—33216no—
1197C2×Q8—3321no—
1198C2×Q8—3321no—
1199C2×Q8—3321no—
1200C2×Q8—3321no—
1201C2×Q8—3321no—
1202C2×Q8—1662no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—3321no—
1213C2×D4—3321no—
1214C2×D4—3321no—
1215C2×D4—3321no—
1216C2×D4—3321no—
1217C2×D4—3321no—
1218C2×D4—3321no—
1219C2×D4—3321no—
1220C2×D4—3321no—
1221C2×D4—3321no—
1222C2×D4—3321no—
1223C2×D4—3321no—
1224C2×D4—3321no—
1225C2×D4—3321no—
1226C2×D4—3321no—
1227C2×D4—1662no—
1228C2×D4—1662no—
1229C2×D4—1662no—
1230C2×D4—1662no—
1231C2×D4—1662no—
1232C2×D4—1662no—
1233C2×D4—1662no—
1234C2×D4—1662no—
1235C2×D4—1662no—
1236C2×D4—1662no—
1237C2×D4—1662no—
1238C2×D4—1662no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—416no—
1258C22×C4—3321no—
1259C22×C4—3321no—
1260C22×C4—3321no—
1261C22×C4—3321no—
1262C22×C4—3321no—
1263C22×C4—3321no—
1264C22×C4—3321no—
1265C22×C4—3321no—
1266C22×C4—3321no—
1267C22×C4—3321no—
1268C22×C4—3321no—
1269C22×C4—3321no—
1270C22×C4—3321no—
1271C22×C4—834no—
1272C22×C4—831no—
1273C22×C4—831no—
1274C22×C4—831no—
1275C22×C4—831no—
1276C22×C4—831no—
1277C22×C4—831no—
1278C22×C4—831no—
1279C22×C4—831no—
1280C22×C4—831no—
1281C22×C4—831no—
1282C22×C4—831no—
1283C22×C4—831no—
1284C22×C4—831no—
1285C22×C4—831no—
1286C22×C4—1662no—
1287C22×C4—1662no—
1288C22×C4—1662no—
1289C22×C4—1662no—
1290C22×C4—1662no—
1291C22×C4—1662no—
1292C22×C4—1662no—
1293C22×C4C23×D8311yescharacteristic
1294C22×C4C23×D8311yescharacteristic
1295C22×C4C23×D8311yescharacteristic
1296C22×C4C23×D8311yescharacteristic
1297C22×C4C23×D8311yescharacteristic
1298C22×C4C23×D8311yescharacteristic
1299C22×C4C23×D8311yescharacteristic
1300C22×C4C23×D8311yescharacteristic
1301C22×C4C23×D8311yescharacteristic
1302C22×C4C23×D8311yescharacteristic
1303C22×C4C23×D8311yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—3321no—
1309C4⋊C4—3321no—
1310C4⋊C4—3321no—
1311C4⋊C4—3321no—
1312C4⋊C4—3321no—
1313C4⋊C4—3321no—
1314C4⋊C4—3321no—
1315C4⋊C4—3321no—
1316C4⋊C4—3321no—
1317C4⋊C4—3321no—
1318C4⋊C4—3321no—
1319C4⋊C4—3321no—
1320C4⋊C4—3321no—
1321C4⋊C4—3321no—
1322C4⋊C4—3321no—
1323C4⋊C4—3321no—
1324C4⋊C4—3321no—
1325C4⋊C4—3321no—
1326C4⋊C4—3321no—
1327C4⋊C4—1662no—
1328C4⋊C4—1662no—
1329C4⋊C4—1662no—
1330C4⋊C4—1662no—
1331C4⋊C4—1662no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—3321no—
1346C22⋊C4—3321no—
1347C22⋊C4—3321no—
1348C22⋊C4—3321no—
1349C22⋊C4—3321no—
1350C22⋊C4—3321no—
1351C22⋊C4—3321no—
1352C22⋊C4—3321no—
1353C22⋊C4—3321no—
1354C22⋊C4—3321no—
1355C22⋊C4—3321no—
1356C22⋊C4—3321no—
1357C22⋊C4—3321no—
1358C22⋊C4—3321no—
1359C22⋊C4—3321no—
1360C22⋊C4—3321no—
1361C22⋊C4—3321no—
1362C22⋊C4—3321no—
1363C22⋊C4—3321no—
1364C22⋊C4—3321no—
1365C22⋊C4—3321no—
1366C22⋊C4—3321no—
1367C22⋊C4—3321no—
1368C22⋊C4—3321no—
1369C22⋊C4—3321no—
1370C22⋊C4—3321no—
1371C22⋊C4—3321no—
1372C22⋊C4—1662no—
1373C22⋊C4—1662no—
1374C22⋊C4—1662no—
1375C22⋊C4—1662no—
1376C22⋊C4—1662no—
1377C22⋊C4—1662no—
1378C22⋊C4—1662no—
1379C22⋊C4—1662no—
1380C22⋊C4—1662no—
1381C22⋊C4—1662no—
1382C42—3321no—
1383C42—3321no—
1384C42—3321no—
1385C42—3321no—
1386C42—3321no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—1661no—
1418C23—1661no—
1419C23—1661no—
1420C23—1661no—
1421C23—1661no—
1422C23—1661no—
1423C23—1661no—
1424C23—1661no—
1425C23—1661no—
1426C23—1661no—
1427C23—1661no—
1428C23—1661no—
1429C23—1661no—
1430C23—1661no—
1431C23#41×D8312yes—
1432C23#1458183712yes—
1433C23#1458183712yes—
1434C23#1458183812yes—
1435C23#1458183912yes—
1436C23C24×D8311yescharacteristic
1437Q8—3324no—
1438Q8—6642no—
1439D4—44no—
1440D4—82no—
1441D4—82no—
1442D4—3324no—
1443D4—3324no—
1444D4—3324no—
1445D4—6642no—
1446D4—6642no—
1447D4—6642no—
1448D4—6642no—
1449D4—6642no—
1450D4—6642no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—3324no—
1490C2×C4—3324no—
1491C2×C4—3324no—
1492C2×C4—832no—
1493C2×C4—832no—
1494C2×C4—6642no—
1495C2×C4—6642no—
1496C2×C4—6642no—
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×C4—1661no—
1507C2×C4—1661no—
1508C2×C4—1661no—
1509C2×C4—1661no—
1510C2×C4—1661no—
1511C2×C4—1661no—
1512C2×C4—1661no—
1513C2×C4—1661no—
1514C2×C4—1661no—
1515C2×C4—1661no—
1516C2×C4—1661no—
1517C2×C4—1661no—
1518C2×C4—1661no—
1519C2×C4—1661no—
1520C2×C4—1661no—
1521C2×C4—1661no—
1522C2×C4—1661no—
1523C2×C4—1661no—
1524C2×C4—1661no—
1525C2×C4—1661no—
1526C2×C4—1661no—
1527C2×C4—1661no—
1528C2×C4—1661no—
1529C2×C4—1661no—
1530C2×C4—1661no—
1531C2×C4—1661no—
1532C2×C4—1661no—
1533C2×C4—1661no—
1534C2×C4—1661no—
1535C2×C4—1661no—
1536C2×C4—1661no—
1537C2×C4—1668no—
1538C2×C4#1458183712yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—3321no—
1568C22—3321no—
1569C22—3321no—
1570C22—3321no—
1571C22—3321no—
1572C22—3321no—
1573C22—3321no—
1574C22—3321no—
1575C22—3321no—
1576C22—3321no—
1577C22—3321no—
1578C22—3321no—
1579C22—3321no—
1580C22—3321no—
1581C22#1912828714yes—
1582C22C2×#41×D8311yescharacteristic
1583C22C2×#1458183711yescharacteristic
1584C22C2×#1458183711yescharacteristic
1585C22C2×#1458183711yescharacteristic
1586C22C2×#1458183811yescharacteristic
1587C22C2×#1458183911yescharacteristic
1588C22#1912853711yescharacteristic
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—3321no—
1601C4—3321no—
1602C4—3321no—
1603C4—3321no—
1604C4—3321no—
1605C4—3321no—
1606C4—3321no—
1607C4—3321no—
1608C4—3321no—
1609C4—3321no—
1610C4—3321no—
1611C4—3321no—
1612C4—1662no—
1613C4—1662no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—6641no—
1619C2—6641no—
1620C2C2×#1912828711yescharacteristic
1621C2#2492116411yescharacteristic
1622C2#2492130611yescharacteristic
1623C2#2492161811yescharacteristic
1624C2#2492164711yescharacteristic
1625C2#2492167611yescharacteristic
1626C2#2492169011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2849C2
hypercenter#2849D83
hypocenterC83#36791
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. #24915745C2semidirect
2. #24915405C2semidirect
3. #24915320C2semidirect
4. #24915213C2semidirect
5. #24915161C2semidirect
6. #24915106C2semidirect
7. #24915082C2semidirect
8. #24914712C2semidirect
9. #24914697C2semidirect
10. #24914632C2semidirect
11. #24914262C2semidirect
12. #24914201C2semidirect
13. #24914184C2semidirect
14. #24914177C2semidirect
15. #24913994C2semidirect
16. #24913869C2semidirect
17. #24913828C2semidirect
18. #24913419C2semidirect
19. #24913393C2semidirect
20. #24911729C2semidirect
21. #24911586C2semidirect
22. #24911202C2semidirect
23. #24911137C2semidirect
24. #24911071C2semidirect
25. #24910995C2semidirect
26. #24910850C2semidirect
27. #24910779C2semidirect
28. #24910131C2semidirect
29. #24910050C2semidirect
30. C2×#19127574C2semidirect
31. C83×#2849C2semidirect
33. C2×#14581785C22semidirect
35. C2×#14581777C22semidirect
51. C83⋊#401C22semidirect
52. #19127643C22semidirect
53. #19127643C22semidirect
54. #19127642C22semidirect
55. #19127642C22semidirect
56. #19127641C22semidirect
57. #19127641C22semidirect
58. #19127640C22semidirect
59. #19127639C22semidirect
60. #19127636C22semidirect
61. #19127634C22semidirect
62. #19127631C22semidirect
63. #19127631C22semidirect
64. #19127630C22semidirect
65. #19127630C22semidirect
66. #19127630C22semidirect
68. #19127629C22semidirect
69. #19127629C22semidirect
70. #19127628C22semidirect
71. #19127627C22semidirect
75. #19127624C22semidirect
76. #19127623C22semidirect
77. #19127622C22semidirect
78. #19127622C22semidirect
79. #19127619C22semidirect
82. #19127617C22semidirect
83. #19127617C22semidirect
87. #19127616C22semidirect
89. #19127614C22semidirect
90. #19127614C22semidirect
94. #19127613C22semidirect
95. #19127610C22semidirect
99. #19127606C22semidirect
100. #19127605C22semidirect
101. #19127605C22semidirect
106. #19127601C22semidirect
107. #19127601C22semidirect
108. #19127600C22semidirect
109. #19127597C22semidirect
110. #19127597C22semidirect
114. #19127590C22semidirect
115. #19127590C22semidirect
116. #19127590C22semidirect
119. #19127589C22semidirect
120. #19127588C22semidirect
121. #19127588C22semidirect
122. #19127586C22semidirect
123. #19127586C22semidirect
124. #19127584C22semidirect
125. #19127584C22semidirect
126. #19127583C22semidirect
137. #19127579C22semidirect
142. #19127578C22semidirect
147. #19127576C22semidirect
148. #19127575C22semidirect
158. #19127572C22semidirect
159. #19127572C22semidirect
160. #19127572C22semidirect
165. #19127560C22semidirect
166. #19127560C22semidirect
167. #19127559C22semidirect
168. #19127559C22semidirect
814. #2849D83semidirect
845. C83#36791semidirect

Maximal subgroups

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

subgroupindex
#249157452
#249154052
#249153202
#249152132
#249151612
#249151062
#249150822
#249147122
#249146972
#249146322
#249142622
#249142012
#249141842
#249141772
#249139942
#249138692
#249138282
#249134192
#249133932
#249117292
#249115862
#249112022
#249111372
#249110712
#249109952
#249108502
#249107792
#249101312
#249100502
C2×#191275742
C83×#28492
#3679183