Finite Group Databasebeta

← #35612747

Subgroups — #35612747

Order 21248.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915755C211yesmaximal, characteristic, complemented
2#24915084C211yesmaximal, characteristic, complemented
3#24915077C211yesmaximal, characteristic, complemented
4#24914839C211yesmaximal, characteristic, complemented
5#24914702C211yesmaximal, characteristic, complemented
6#24914690C211yesmaximal, characteristic, complemented
7#24914689C211yesmaximal, characteristic, complemented
8#24914598C211yesmaximal, characteristic, complemented
9#24914109C211yesmaximal, characteristic, complemented
10#24914027C211yesmaximal, characteristic, complemented
11#24914013C211yesmaximal, characteristic, complemented
12#24913897C211yesmaximal, characteristic, complemented
13#24913895C211yesmaximal, characteristic, complemented
14#24913842C211yesmaximal, characteristic, complemented
15#24913791C211yesmaximal, characteristic, complemented
16#24913758C211yesmaximal, characteristic, complemented
17#24913666C211yesmaximal, characteristic, complemented
18#24913418C211yesmaximal, characteristic, complemented
19#24913393C211yesmaximal, characteristic, complemented
20#24912019C211yesmaximal, characteristic, complemented
21#24911588C211yesmaximal, characteristic, complemented
22#24911209C211yesmaximal, characteristic, complemented
23#24911131C211yesmaximal, characteristic, complemented
24#24911003C211yesmaximal, characteristic, complemented
25#24910834C211yesmaximal, characteristic, complemented
26#24910833C211yesmaximal, characteristic, complemented
27#24910774C211yesmaximal, characteristic, complemented
28#24910126C211yesmaximal, characteristic, complemented
29#24910037C211yesmaximal, characteristic, complemented
30C2×#19127580C211yesmaximal, characteristic, complemented
31C83×#2847C211yesmaximal, characteristic, complemented
32C23×C22⋊D83C2211yescharacteristic
33C22×D4×D83C2211yescharacteristic
34C2×#14581779C2211yescharacteristic, complemented
35C2×#14581775C2211yescharacteristic, complemented
36C2×#14581775C2211yescharacteristic, complemented
37C2×#14581770C2211yescharacteristic, complemented
38C2×#14581769C2211yescharacteristic, complemented
39C2×#14581764C2211yescharacteristic
40C2×#14581764C2211yescharacteristic, complemented
41C2×#14581763C2211yescharacteristic, complemented
42C2×#14581763C2211yescharacteristic, complemented
43C2×#14581761C2211yescharacteristic
44C2×#14581760C2211yescharacteristic
45C2×#14581760C2211yescharacteristic
46C2×#14581760C2211yescharacteristic
47C2×#14581760C2211yescharacteristic, complemented
48C2×D4×Dic83C2211yescharacteristic, complemented
49C22×C22⋊Dic83C2211yescharacteristic, complemented
50C22×(C2×D83)⋊C4C2211yescharacteristic
51C22×(C2×D83)⋊C4C2211yescharacteristic
52C2×C22⋊C4×D83C2211yescharacteristic
53C83⋊#401C2211yescharacteristic, complemented
54C83⋊#401C2211yescharacteristic, complemented
55#19127643C2211yescharacteristic, complemented
56#19127643C2211yescharacteristic, complemented
57#19127642C2211yescharacteristic, complemented
58#19127642C2211yescharacteristic, complemented
59#19127641C2211yescharacteristic, complemented
60#19127640C2211yescharacteristic, complemented
61#19127640C2211yescharacteristic, complemented
62#19127636C2211yescharacteristic, complemented
63#19127630C2211yescharacteristic, complemented
64#19127629C2211yescharacteristic, complemented
65#19127629C2211yescharacteristic, complemented
66#19127629C2211yescharacteristic, complemented
67#19127629C2211yescharacteristic, complemented
68#19127628C2211yescharacteristic, complemented
69#19127627C2211yescharacteristic, complemented
70#19127626C2211yescharacteristic, complemented
71#19127626C2211yescharacteristic, complemented
72#19127626C2211yescharacteristic, complemented
73#19127625C2211yescharacteristic, complemented
74#19127624C2211yescharacteristic, complemented
75#19127624C2211yescharacteristic, complemented
76#19127623C2211yescharacteristic, complemented
77#19127618C2211yescharacteristic, complemented
78#19127617C2211yescharacteristic
79#19127617C2211yescharacteristic
80#19127617C2211yescharacteristic, complemented
81#19127617C2211yescharacteristic, complemented
82#19127616C2211yescharacteristic, complemented
83#19127616C2211yescharacteristic, complemented
84#19127615C2211yescharacteristic, complemented
85#19127615C2211yescharacteristic, complemented
86#19127615C2211yescharacteristic, complemented
87#19127615C2211yescharacteristic, complemented
88#19127614C2211yescharacteristic, complemented
89#19127614C2211yescharacteristic, complemented
90#19127613C2211yescharacteristic, complemented
91#19127613C2211yescharacteristic, complemented
92#19127610C2211yescharacteristic
93#19127610C2211yescharacteristic
94#19127610C2211yescharacteristic, complemented
95#19127609C2211yescharacteristic
96#19127609C2211yescharacteristic
97#19127609C2211yescharacteristic
98#19127609C2211yescharacteristic
99#19127609C2211yescharacteristic, complemented
100#19127609C2211yescharacteristic, complemented
101#19127604C2211yescharacteristic, complemented
102#19127601C2211yescharacteristic, complemented
103#19127601C2211yescharacteristic, complemented
104#19127601C2211yescharacteristic, complemented
105#19127595C2211yescharacteristic, complemented
106#19127595C2211yescharacteristic, complemented
107#19127595C2211yescharacteristic, complemented
108#19127593C2211yescharacteristic, complemented
109#19127593C2211yescharacteristic, complemented
110#19127593C2211yescharacteristic, complemented
111#19127591C2211yescharacteristic, complemented
112#19127590C2211yescharacteristic, complemented
113#19127590C2211yescharacteristic, complemented
114#19127589C2211yescharacteristic, complemented
115#19127587C2211yescharacteristic, complemented
116#19127582C2211yescharacteristic, complemented
117#19127581C2211yescharacteristic
118#19127581C2211yescharacteristic
119#19127581C2211yescharacteristic
120#19127581C2211yescharacteristic, complemented
121#19127581C2211yescharacteristic, complemented
122#19127581C2211yescharacteristic, complemented
123#19127580C2211yescharacteristic
124#19127580C2211yescharacteristic
125#19127580C2211yescharacteristic
126#19127580C2211yescharacteristic
127#19127580C2211yescharacteristic
128#19127580C2211yescharacteristic
129#19127580C2211yescharacteristic, complemented
130#19127580C2211yescharacteristic, complemented
131#19127580C2211yescharacteristic, complemented
132#19127580C2211yescharacteristic, complemented
133#19127580C2211yescharacteristic, complemented
134#19127580C2211yescharacteristic, complemented
135#19127579C2211yescharacteristic, complemented
136#19127579C2211yescharacteristic, complemented
137#19127578C2211yescharacteristic
138#19127578C2211yescharacteristic
139#19127578C2211yescharacteristic, complemented
140#19127578C2211yescharacteristic, complemented
141#19127577C2211yescharacteristic
142#19127577C2211yescharacteristic
143#19127577C2211yescharacteristic, complemented
144#19127577C2211yescharacteristic, complemented
145#19127577C2211yescharacteristic, complemented
146#19127577C2211yescharacteristic, complemented
147#19127577C2211yescharacteristic, complemented
148#19127576C2211yescharacteristic, complemented
149#19127575C2211yescharacteristic, complemented
150#19127574C2211yescharacteristic, complemented
151#19127574C2211yescharacteristic, complemented
152#19127574C2211yescharacteristic, complemented
153#19127574C2211yescharacteristic, complemented
154#19127573C2211yescharacteristic, complemented
155#19127572C2211yescharacteristic, complemented
156#19127572C2211yescharacteristic, complemented
157#19127568C2211yescharacteristic, complemented
158#19127564C2211yescharacteristic, complemented
159#19127564C2211yescharacteristic, complemented
160#19127563C2211yescharacteristic, complemented
161#19127563C2211yescharacteristic, complemented
162#19127562C2211yescharacteristic, complemented
163#19127560C2211yescharacteristic, complemented
164#19127557C2211yescharacteristic, complemented
165#19127556C2211yescharacteristic
166#19127556C2211yescharacteristic, complemented
167#19127556C2211yescharacteristic, complemented
168#19127556C2211yescharacteristic, complemented
169C22⋊C4×Dic83C2211yescharacteristic, complemented
170C2×C83⋊#95C2211yescharacteristic, complemented
171C2×C83⋊#95C2211yescharacteristic, complemented
172C24×C4×C83C2211yescharacteristic, complemented
173C2×#121×C83C2211yescharacteristic
174C2×#121×C83C2211yescharacteristic, complemented
175C2×#121×C83C2211yescharacteristic, complemented
176C2×#120×C83C2211yescharacteristic
177C2×#120×C83C2211yescharacteristic, complemented
178#386×C83C2211yescharacteristic
179#386×C83C2211yescharacteristic, complemented
180#386×C83C2211yescharacteristic, complemented
181#386×C83C2211yescharacteristic, complemented
182#386×C83C2211yescharacteristic, complemented
183#386×C83C2211yescharacteristic, complemented
184#380×C83C2211yescharacteristic, complemented
185#380×C83C2211yescharacteristic, complemented
186#380×C83C2211yescharacteristic, complemented
187C24×D83C2311yescharacteristic
188C24×D83C2311yescharacteristic
189C22×Dic166C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×C22⋊D83—24no—
192C22×C22⋊D83—42no—
193C22×C22⋊D83—42no—
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C2×D4×D83—24no—
206C2×D4×D83—42no—
207C2×D4×D83—42no—
208C23×Dic83C2311yescharacteristic
209C23×Dic83C2311yescharacteristic
210C23×Dic83C2311yescharacteristic
211C23×Dic83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215#14581779—42no—
216#14581775—42no—
217#14581775—42no—
218#14581770—42no—
219#14581769—42no—
220#14581764—42no—
221#14581764—42no—
222#14581763—42no—
223#14581763—42no—
224#14581761—42no—
225#14581760—24no—
226#14581760—42no—
227#14581760—42no—
228#14581760—42no—
229D4×Dic83—42no—
230C2×C4⋊Dic83C2311yescharacteristic
231C2×C4⋊Dic83C2311yescharacteristic
232C2×C4⋊Dic83C2311yescharacteristic
233C2×C4⋊Dic83C2311yescharacteristic
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×C22⋊Dic83—42no—
244C2×C22⋊Dic83C2311yescharacteristic
245C2×C22⋊Dic83C2311yescharacteristic
246C2×C22⋊Dic83C2311yescharacteristic
247C2×C22⋊Dic83C2311yescharacteristic
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×(C2×D83)⋊C4—42no—
268C2×(C2×D83)⋊C4—42no—
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×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C22⋊C4×D83—42no—
295C2×C4×Dic83C2311yescharacteristic
296C2×C4×Dic83C2311yescharacteristic
297C2×C4×Dic83C2311yescharacteristic
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
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C25×C83C2311yescharacteristic
333C22×D4×C83C2311yescharacteristic
334C22×D4×C83C2311yescharacteristic
335C22×D4×C83C2311yescharacteristic
336C22×D4×C83C2311yescharacteristic
337C22×D4×C83C2311yescharacteristic
338C22×D4×C83C2311yescharacteristic
339C22×D4×C83C2311yescharacteristic
340C23×C4×C83—42no—
341C23×C4×C83—42no—
342C23×C4×C83—42no—
343C23×C4×C83C2311yescharacteristic
344C23×C4×C83C2311yescharacteristic
345C23×C4×C83C2311yescharacteristic
346C23×C4×C83C2311yescharacteristic
347C23×C4×C83C2311yescharacteristic
348C23×C4×C83C2311yescharacteristic
349#121×C83—42no—
350#121×C83—42no—
351#121×C83—42no—
352#120×C83—42no—
353#120×C83—42no—
354C2×C4⋊C4×C83C2311yescharacteristic
355C2×C4⋊C4×C83C2311yescharacteristic
356C2×C4⋊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×C22⋊C4×C83C2311yescharacteristic
365C2×C22⋊C4×C83C2311yescharacteristic
366C2×C22⋊C4×C83C2311yescharacteristic
367C2×C22⋊C4×C83C2311yescharacteristic
368C2×C22⋊C4×C83C2311yescharacteristic
369#95×C83C2311yescharacteristic
370#95×C83C2311yescharacteristic
371#95×C83C2311yescharacteristic
372#95×C83C2311yescharacteristic
373#95×C83C2311yescharacteristic
374#95×C83C2311yescharacteristic
375C23×D83—22no—
376C23×D83—22no—
377C23×D83—22no—
378C23×D83—41no—
379C23×D83—41no—
380C23×D83—41no—
381C23×D83—41no—
382C23×D83—41no—
383C23×D83—41no—
384C23×D83—41no—
385C23×D83—41no—
386C23×D83—41no—
387C23×D83—41no—
388C23×D83#4114yes—
389C23×D83C2411yescharacteristic
390C23×D83C2411yescharacteristic
391C23×D83C2411yescharacteristic
392C2×Dic166—41no—
393C2×Dic166—41no—
394C2×Dic166—41no—
395C2×D332—22no—
396C2×D332—41no—
397C2×D332—41no—
398C2×C22⋊D83—22no—
399C2×C22⋊D83—22no—
400C2×C22⋊D83—22no—
401C2×C22⋊D83—22no—
402C2×C22⋊D83—22no—
403C2×C22⋊D83—22no—
404C2×C22⋊D83—22no—
405C2×C22⋊D83—22no—
406C2×C22⋊D83—22no—
407C2×C22⋊D83—22no—
408C2×C22⋊D83—22no—
409C2×C22⋊D83—22no—
410C2×C22⋊D83—22no—
411C2×C22⋊D83—22no—
412C2×C22⋊D83—22no—
413C2×C22⋊D83—22no—
414C2×C22⋊D83—41no—
415C2×C22⋊D83—41no—
416C2×C22⋊D83—41no—
417C2×C22⋊D83—41no—
418C2×C22⋊D83—41no—
419C2×C22⋊D83—41no—
420C2×C22⋊D83—41no—
421C2×C22⋊D83—41no—
422C2×C22⋊D83—41no—
423C2×C22⋊D83—41no—
424C2×C22⋊D83—41no—
425C2×C22⋊D83—41no—
426C2×C22⋊D83—41no—
427C2×C22⋊D83—41no—
428C2×C22⋊D83—41no—
429C2×C22⋊D83—41no—
430C2×C22⋊D83—41no—
431C2×C22⋊D83—416no—
432D4×D83—416no—
433C22×Dic83—22no—
434C22×Dic83—22no—
435C22×Dic83—22no—
436C22×Dic83—41no—
437C22×Dic83—41no—
438C22×Dic83—41no—
439C22×Dic83—41no—
440C22×Dic83—41no—
441C22×Dic83—41no—
442C22×Dic83—41no—
443C22×Dic83—41no—
444C22×Dic83—41no—
445C22×Dic83C2411yescharacteristic
446C22×Dic83C2411yescharacteristic
447C22×Dic83C2411yescharacteristic
448C22×Dic83C2411yescharacteristic
449C22×Dic83C2411yescharacteristic
450C22×Dic83C2411yescharacteristic
451C22×Dic83C2411yescharacteristic
452C22×Dic83C2411yescharacteristic
453C22×Dic83C2411yescharacteristic
454C22×Dic83C2411yescharacteristic
455C22×Dic83C2411yescharacteristic
456C22×Dic83C2411yescharacteristic
457C22×Dic83C2411yescharacteristic
458C2×C4×D83—22no—
459C2×C4×D83—41no—
460C2×C4×D83—41no—
461C2×C4×D83—41no—
462C2×C4×D83—41no—
463C2×C4×D83—41no—
464C2×C4×D83—41no—
465C2×C4×D83—41no—
466C2×C4×D83—41no—
467C4⋊Dic83—41no—
468C4⋊Dic83—41no—
469C4⋊Dic83—41no—
470C4⋊Dic83—41no—
471Dic83⋊C4—22no—
472Dic83⋊C4—41no—
473Dic83⋊C4—41no—
474Dic83⋊C4—41no—
475Dic83⋊C4—41no—
476Dic83⋊C4—41no—
477Dic83⋊C4—41no—
478Dic83⋊C4—41no—
479Dic83⋊C4—41no—
480C22⋊Dic83—22no—
481C22⋊Dic83—22no—
482C22⋊Dic83—22no—
483C22⋊Dic83—22no—
484C22⋊Dic83—22no—
485C22⋊Dic83—22no—
486C22⋊Dic83—22no—
487C22⋊Dic83—41no—
488C22⋊Dic83—41no—
489C22⋊Dic83—41no—
490C22⋊Dic83—41no—
491C22⋊Dic83—41no—
492C22⋊Dic83—41no—
493C22⋊Dic83—41no—
494C22⋊Dic83—41no—
495C22⋊Dic83—41no—
496C22⋊Dic83—41no—
497C22⋊Dic83—41no—
498C22⋊Dic83—41no—
499C22⋊Dic83—41no—
500C22⋊Dic83—41no—
501C22⋊Dic83—41no—
502C22⋊Dic83—41no—
503(C2×D83)⋊C4—22no—
504(C2×D83)⋊C4—22no—
505(C2×D83)⋊C4—22no—
506(C2×D83)⋊C4—22no—
507(C2×D83)⋊C4—22no—
508(C2×D83)⋊C4—41no—
509(C2×D83)⋊C4—41no—
510(C2×D83)⋊C4—41no—
511(C2×D83)⋊C4—41no—
512(C2×D83)⋊C4—41no—
513(C2×D83)⋊C4—41no—
514(C2×D83)⋊C4—41no—
515(C2×D83)⋊C4—41no—
516(C2×D83)⋊C4—41no—
517(C2×D83)⋊C4—41no—
518(C2×D83)⋊C4—41no—
519(C2×D83)⋊C4—41no—
520(C2×D83)⋊C4—41no—
521(C2×D83)⋊C4—41no—
522(C2×D83)⋊C4—41no—
523(C2×D83)⋊C4—41no—
524(C2×D83)⋊C4—41no—
525(C2×D83)⋊C4—41no—
526(C2×D83)⋊C4—41no—
527(C2×D83)⋊C4—41no—
528C4×Dic83—41no—
529C4×Dic83—41no—
530C4×Dic83—41no—
531C24×C83—22no—
532C24×C83—22no—
533C24×C83—22no—
534C24×C83—22no—
535C24×C83—22no—
536C24×C83—41no—
537C24×C83—41no—
538C24×C83C2411yescharacteristic
539C24×C83C2411yescharacteristic
540C24×C83C2411yescharacteristic
541C24×C83C2411yescharacteristic
542C24×C83C2411yescharacteristic
543C2×D4×C83—22no—
544C2×D4×C83—22no—
545C2×D4×C83—22no—
546C2×D4×C83—22no—
547C2×D4×C83—22no—
548C2×D4×C83—22no—
549C2×D4×C83—22no—
550C2×D4×C83—22no—
551C2×D4×C83—22no—
552C2×D4×C83—22no—
553C2×D4×C83—22no—
554C2×D4×C83—41no—
555C2×D4×C83—41no—
556C2×D4×C83—41no—
557C2×D4×C83—41no—
558C2×D4×C83—41no—
559C2×D4×C83—41no—
560C2×D4×C83—41no—
561C2×D4×C83—41no—
562C2×D4×C83—41no—
563C2×D4×C83—41no—
564C22×C4×C83—22no—
565C22×C4×C83—22no—
566C22×C4×C83—22no—
567C22×C4×C83—22no—
568C22×C4×C83—22no—
569C22×C4×C83—22no—
570C22×C4×C83—22no—
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—
581C22×C4×C83—41no—
582C22×C4×C83—416no—
583C22×C4×C83C2411yescharacteristic
584C22×C4×C83C2411yescharacteristic
585C22×C4×C83C2411yescharacteristic
586C22×C4×C83C2411yescharacteristic
587C22×C4×C83C2411yescharacteristic
588C22×C4×C83C2411yescharacteristic
589C22×C4×C83C2411yescharacteristic
590C22×C4×C83C2411yescharacteristic
591C22×C4×C83C2411yescharacteristic
592C22×C4×C83C2411yescharacteristic
593C4⋊C4×C83—22no—
594C4⋊C4×C83—41no—
595C4⋊C4×C83—41no—
596C22⋊C4×C83—22no—
597C22⋊C4×C83—22no—
598C22⋊C4×C83—41no—
599C22⋊C4×C83—41no—
600C22⋊C4×C83—41no—
601C22⋊C4×C83—41no—
602C22⋊C4×C83—41no—
603C22⋊C4×C83—41no—
604C22⋊C4×C83—41no—
605C22⋊C4×C83—41no—
606C22⋊C4×C83—41no—
607C22⋊C4×C83—41no—
608C23×C83—21no—
609C23×C83—21no—
610C23×C83—21no—
611C23×C83—21no—
612C23×C83—28no—
613C23×C83—21no—
614C23×C83—21no—
615C23×C83—21no—
616C23×C83—21no—
617C23×C83—21no—
618C23×C83—21no—
619C23×C83—21no—
620C23×C83—21no—
621C23×C83—21no—
622C23×C83—21no—
623C23×C83—21no—
624C23×C83—21no—
625C23×C83—21no—
626C23×C83—21no—
627C23×C83—21no—
628C23×C83—21no—
629C23×C83—21no—
630C23×C83—21no—
631C23×C83—21no—
632C23×C83—21no—
633C23×C83—21no—
634C23×C83—21no—
635C23×C83—21no—
636C23×C83—21no—
637C23×C83—21no—
638C23×C83—21no—
639C23×C83—44no—
640C23×C83—44no—
641C23×C83—44no—
642C23×C83—44no—
643C23×C83—44no—
644C23×C83—44no—
645C23×C83C2×#4112yes—
646C23×C83H(5,𝔽2)12yes—
647C23×C83H(5,𝔽2)12yes—
648C23×C83H(5,𝔽2)12yes—
649C23×C83H(5,𝔽2)12yes—
650C23×C83C2511yescharacteristic
651C22×D83—21no—
652C22×D83—21no—
653C22×D83—21no—
654C22×D83—21no—
655C22×D83—21no—
656C22×D83—21no—
657C22×D83—21no—
658C22×D83—21no—
659C22×D83—21no—
660C22×D83—21no—
661C22×D83—21no—
662C22×D83—21no—
663C22×D83—28no—
664C22×D83—21no—
665C22×D83—21no—
666C22×D83—21no—
667C22×D83—21no—
668C22×D83—21no—
669C22×D83—21no—
670C22×D83—21no—
671C22×D83—44no—
672C22×D83—44no—
673C22×D83—44no—
674C22×D83—82no—
675C22×D83—82no—
676C22×D83—82no—
677C22×D83—82no—
678C22×D83—82no—
679C22×D83—82no—
680C22×D83—82no—
681C22×D83—82no—
682C22×D83—82no—
683C22×D83—82no—
684C22×D83C2×#4112yes—
685C22×D83C2×#4112yes—
686D4×C83—44no—
687D4×C83—44no—
688D4×C83—82no—
689D4×C83—82no—
690D4×C83—82no—
691D4×C83—82no—
692D4×C83—82no—
693C2×C4×C83—21no—
694C2×C4×C83—21no—
695C2×C4×C83—21no—
696C2×C4×C83—21no—
697C2×C4×C83—21no—
698C2×C4×C83—21no—
699C2×C4×C83—21no—
700C2×C4×C83—21no—
701C2×C4×C83—21no—
702C2×C4×C83—21no—
703C2×C4×C83—21no—
704C2×C4×C83—21no—
705C2×C4×C83—21no—
706C2×C4×C83—21no—
707C2×C4×C83—21no—
708C2×C4×C83—21no—
709C2×C4×C83—21no—
710C2×C4×C83—21no—
711C2×C4×C83—21no—
712C2×C4×C83—21no—
713C2×C4×C83—21no—
714C2×C4×C83—21no—
715C2×C4×C83—21no—
716C2×C4×C83—21no—
717C2×C4×C83—21no—
718C2×C4×C83—21no—
719C2×C4×C83—21no—
720C2×C4×C83—21no—
721C2×C4×C83—21no—
722C2×C4×C83—44no—
723C2×C4×C83—44no—
724C2×C4×C83—44no—
725C2×C4×C83—44no—
726C2×C4×C83—44no—
727C2×C4×C83—44no—
728C2×C4×C83H(5,𝔽2)12yes—
729C22⋊D83—44no—
730C22⋊D83—44no—
731C22⋊D83—44no—
732C22⋊D83—44no—
733C22⋊D83—44no—
734C22⋊D83—44no—
735C22⋊D83—82no—
736C22⋊D83—82no—
737C22⋊D83—82no—
738C22⋊D83—82no—
739C22⋊D83—82no—
740C2×Dic83—21no—
741C2×Dic83—21no—
742C2×Dic83—21no—
743C2×Dic83—21no—
744C2×Dic83—21no—
745C2×Dic83—21no—
746C2×Dic83—21no—
747C2×Dic83—21no—
748C2×Dic83—21no—
749C2×Dic83—21no—
750C2×Dic83—21no—
751C2×Dic83—21no—
752C2×Dic83—21no—
753C2×Dic83—21no—
754C2×Dic83—21no—
755C2×Dic83—21no—
756C2×Dic83—21no—
757C2×Dic83—21no—
758C2×Dic83—21no—
759C2×Dic83—21no—
760C2×Dic83—21no—
761C2×Dic83—21no—
762C2×Dic83—21no—
763C2×Dic83—21no—
764C2×Dic83—21no—
765C2×Dic83—21no—
766C2×Dic83—21no—
767C2×Dic83—21no—
768C2×Dic83—21no—
769C2×Dic83—21no—
770C2×Dic83—21no—
771C2×Dic83—21no—
772C2×Dic83—21no—
773C2×Dic83—21no—
774C2×Dic83—21no—
775C2×Dic83—21no—
776C2×Dic83—21no—
777C2×Dic83—21no—
778C2×Dic83—21no—
779C2×Dic83—44no—
780C2×Dic83—82no—
781C2×Dic83—82no—
782C2×Dic83—82no—
783D332—44no—
784C4×D83—44no—
785C4×D83—82no—
786C4×D83—82no—
787Dic166—82no—
788C22×C83—22no—
789C22×C83—22no—
790C22×C83—22no—
791C22×C83—22no—
792C22×C83—22no—
793C22×C83—22no—
794C22×C83—22no—
795C22×C83—22no—
796C22×C83—22no—
797C22×C83—22no—
798C22×C83—22no—
799C22×C83—22no—
800C22×C83—416no—
801C22×C83—41no—
802C22×C83—41no—
803C22×C83—41no—
804C22×C83—41no—
805C22×C83—41no—
806C22×C83—41no—
807C22×C83—41no—
808C22×C83—41no—
809C22×C83—41no—
810C22×C83—41no—
811C22×C83—41no—
812C22×C83—41no—
813C22×C83—41no—
814C22×C83—41no—
815C22×C83—41no—
816C22×C83—41no—
817C22×C83—41no—
818C22×C83—41no—
819C22×C83—41no—
820C22×C83—41no—
821C22×C83—41no—
822C22×C83—41no—
823C22×C83#53814yes—
824C22×C83C22×#4111yescharacteristic
825C22×C83C2×H(5,𝔽2)11yescharacteristic
826C22×C83C2×H(5,𝔽2)11yescharacteristic
827C22×C83C2×H(5,𝔽2)11yescharacteristic
828C22×C83C2×H(5,𝔽2)11yescharacteristic
829C22×C83C2×H(5,𝔽2)11yescharacteristic
830C22×C83#58511yescharacteristic
831C2×D83—22no—
832C2×D83—22no—
833C2×D83—22no—
834C2×D83—22no—
835C2×D83—22no—
836C2×D83—22no—
837C2×D83—41no—
838C2×D83—41no—
839C2×D83—41no—
840C2×D83—41no—
841C2×D83—41no—
842C2×D83—41no—
843C2×D83—41no—
844C2×D83—41no—
845C2×D83—41no—
846C2×D83—41no—
847C2×D83—41no—
848C2×D83—41no—
849C2×D83—41no—
850C2×D83—41no—
851C2×D83—41no—
852C2×D83—88no—
853C2×D83—88no—
854C4×C83—22no—
855C4×C83—41no—
856C4×C83—41no—
857C4×C83—41no—
858C4×C83—41no—
859C4×C83—41no—
860C4×C83—41no—
861C4×C83—41no—
862C4×C83—41no—
863C4×C83—41no—
864Dic83—41no—
865Dic83—41no—
866Dic83—41no—
867Dic83—41no—
868Dic83—41no—
869Dic83—41no—
870Dic83—41no—
871Dic83—41no—
872Dic83—41no—
873Dic83—41no—
874Dic83—41no—
875Dic83—41no—
876Dic83—41no—
877#36776—831nomaximal, Sylow
878C2×C83—24no—
879C2×C83—42no—
880C2×C83—42no—
881C2×C83—81no—
882C2×C83—81no—
883C2×C83C2×#53811yescharacteristic
884C2×C83#349011yescharacteristic
885C2×C83#350511yescharacteristic
886C2×C83#353211yescharacteristic
887C2×C83#353411yescharacteristic
888C2×C83#353411yescharacteristic
889C2×C83#353711yescharacteristic
890D83—42no—
891D83—42no—
892D83—81no—
893#2849—831no—
894#2847D8311yescharacteristic, complemented
895#2778—831no—
896#2778—831no—
897#2760—831no—
898#2750—831no—
899#2749—831no—
900#2749—831no—
901#2743—831no—
902#2703—831no—
903#2697—831no—
904#2696—831no—
905#2688—831no—
906#2688—831no—
907#2684—831no—
908#2678—831no—
909#2676—831no—
910#2668—831no—
911#2643—831no—
912#2639—831no—
913#2510—831no—
914#2472—831no—
915#2444—831no—
916#2437—831no—
917#2424—831no—
918#2410—831no—
919#2410—831no—
920#2403—831no—
921#2321—831no—
922#2308—831no—
923C2×#386—831no—
924C83#3677611yescharacteristic, complemented, Sylow
925C23×D4—831no—
926C23×D4—831no—
927C24×C4C2×D8311yescharacteristic, complemented
928C2×#124—831no—
929C2×#123—831no—
930C2×#123—831no—
931C2×C22⋊Q8—831no—
932C2×C22⋊Q8—831no—
933C2×#121—831no—
934C2×#121—831no—
935C2×#121—831no—
936C2×#121—831no—
937C2×#121C2×D8311yescharacteristic
938C2×#121C2×D8311yescharacteristic, complemented
939C2×#121C2×D8311yescharacteristic, complemented
940C2×#120—831no—
941C2×#120—831no—
942C2×#120—831no—
943C2×#120—831no—
944C2×#120—831no—
945C2×#120C2×D8311yescharacteristic
946C2×#120C2×D8311yescharacteristic, complemented
947C2×C4×D4—831no—
948C22×C22⋊C4—831no—
949C22×C22⋊C4—831no—
950C22×C22⋊C4—831no—
951C22×C22⋊C4—831no—
952#401—831no—
953#401—831no—
954#400—831no—
955#400—831no—
956#400—831no—
957#400—831no—
958#400—831no—
959#400—831no—
960#400—831no—
961#399—831no—
962#397—831no—
963#397—831no—
964#397—831no—
965#397—831no—
966#397—831no—
967#397—831no—
968#397—831no—
969#397—831no—
970#397—831no—
971#397—831no—
972#396—831no—
973#396—831no—
974#396—831no—
975#396—831no—
976#394—831no—
977#394—831no—
978#394—831no—
979#394—831no—
980#394—831no—
981#394—831no—
982#394—831no—
983#394—831no—
984#394—831no—
985#394—831no—
986#394—831no—
987#393—831no—
988#393—831no—
989#393—831no—
990#393—831no—
991#392—831no—
992#392—831no—
993#392—831no—
994#392—831no—
995#392—831no—
996#392—831no—
997#392—831no—
998#392—831no—
999#392—831no—
1000#390—831no—
1001#390—831no—
1002#390—831no—
1003#390—831no—
1004#388—831no—
1005#388—831no—
1006#388—831no—
1007#388—831no—
1008#388—831no—
1009#388—831no—
1010#388—831no—
1011#388—831no—
1012#388—831no—
1013#388—831no—
1014#387—831no—
1015#387—831no—
1016#386—831no—
1017#386—831no—
1018#386—831no—
1019#386—831no—
1020#386—831no—
1021#386—831no—
1022#386—831no—
1023#386—831no—
1024#386—831no—
1025#386—831no—
1026#386—831no—
1027#386—831no—
1028#386—831no—
1029#386—831no—
1030#386—831no—
1031#386—831no—
1032#386—831no—
1033#386—831no—
1034#386—831no—
1035#386—831no—
1036#386—831no—
1037#386—831no—
1038#386—831no—
1039#386—831no—
1040#386—831no—
1041#386—831no—
1042#386—831no—
1043#386—831no—
1044#386—831no—
1045#386—831no—
1046#386—831no—
1047#386C2×D8311yescharacteristic
1048#386C2×D8311yescharacteristic, complemented
1049#386C2×D8311yescharacteristic, complemented
1050#386C2×D8311yescharacteristic, complemented
1051#386C2×D8311yescharacteristic, complemented
1052#386C2×D8311yescharacteristic, complemented
1053#385—831no—
1054#385—831no—
1055#385—831no—
1056#385—831no—
1057#385—831no—
1058#385—831no—
1059#385—831no—
1060#385—831no—
1061#385—831no—
1062#383—831no—
1063#381—831no—
1064#381—831no—
1065#381—831no—
1066#381—831no—
1067#381—831no—
1068#380—831no—
1069#380C2×D8311yescharacteristic, complemented
1070#380C2×D8311yescharacteristic, complemented
1071#380C2×D8311yescharacteristic, complemented
1072#379—831no—
1073#379—831no—
1074#379—831no—
1075#379—831no—
1076#379—831no—
1077C4×C22⋊C4—831no—
1078C2×#95—831no—
1079C2×#95—831no—
1080C25—831no—
1081C25—831no—
1082C25C22×D8311yescharacteristic
1083C22×Q8—831no—
1084C22×D4—3322no—
1085C22×D4—3322no—
1086C22×D4—3322no—
1087C22×D4—3322no—
1088C22×D4—831no—
1089C22×D4—831no—
1090C22×D4—831no—
1091C22×D4—831no—
1092C22×D4—831no—
1093C22×D4—831no—
1094C22×D4—831no—
1095C22×D4—831no—
1096C22×D4—831no—
1097C22×D4—831no—
1098C22×D4—831no—
1099C22×D4—831no—
1100C22×D4—1664no—
1101C22×D4—1664no—
1102C22×D4C22×D8311yescharacteristic
1103C22×D4C22×D8311yescharacteristic
1104C22×D4C22×D8311yescharacteristic
1105C22×D4C22×D8311yescharacteristic
1106C22×D4C22×D8311yescharacteristic
1107C22×D4C22×D8311yescharacteristic
1108C22×D4C22×D8311yescharacteristic
1109C23×C4—42no—
1110C23×C4—42no—
1111C23×C4—42no—
1112C23×C4—831no—
1113C23×C4—831no—
1114C23×C4—831no—
1115C23×C4—831no—
1116C23×C4—831no—
1117C23×C4—831no—
1118C23×C4—831no—
1119C23×C4C22×D8311yescharacteristic
1120C23×C4C22×D8311yescharacteristic
1121C23×C4C22×D8311yescharacteristic
1122C23×C4C22×D8311yescharacteristic
1123C23×C4C22×D8311yescharacteristic
1124C23×C4C22×D8311yescharacteristic
1125#124—3322no—
1126#123—3322no—
1127#123—3322no—
1128C22⋊Q8—3322no—
1129C22⋊Q8—3322no—
1130#121—42no—
1131#121—42no—
1132#121—42no—
1133#121—3322no—
1134#121—3322no—
1135#121—3322no—
1136#121—3322no—
1137#120—42no—
1138#120—42no—
1139#120—3322no—
1140#120—3322no—
1141#120—3322no—
1142#120—3322no—
1143#120—1664no—
1144C4×D4—3322no—
1145C2×C4⋊C4—831no—
1146C2×C4⋊C4—831no—
1147C2×C4⋊C4—831no—
1148C2×C4⋊C4—831no—
1149C2×C4⋊C4—831no—
1150C2×C4⋊C4—831no—
1151C2×C4⋊C4—831no—
1152C2×C4⋊C4—831no—
1153C2×C4⋊C4—831no—
1154C2×C4⋊C4—831no—
1155C2×C4⋊C4—831no—
1156C2×C4⋊C4—831no—
1157C2×C4⋊C4—831no—
1158C2×C4⋊C4C22×D8311yescharacteristic
1159C2×C4⋊C4C22×D8311yescharacteristic
1160C2×C4⋊C4C22×D8311yescharacteristic
1161C2×C22⋊C4—3322no—
1162C2×C22⋊C4—3322no—
1163C2×C22⋊C4—3322no—
1164C2×C22⋊C4—3322no—
1165C2×C22⋊C4—831no—
1166C2×C22⋊C4—831no—
1167C2×C22⋊C4—831no—
1168C2×C22⋊C4—831no—
1169C2×C22⋊C4—831no—
1170C2×C22⋊C4—831no—
1171C2×C22⋊C4—831no—
1172C2×C22⋊C4—831no—
1173C2×C22⋊C4—831no—
1174C2×C22⋊C4—831no—
1175C2×C22⋊C4—831no—
1176C2×C22⋊C4—831no—
1177C2×C22⋊C4—831no—
1178C2×C22⋊C4—831no—
1179C2×C22⋊C4—831no—
1180C2×C22⋊C4—831no—
1181C2×C22⋊C4—831no—
1182C2×C22⋊C4—831no—
1183C2×C22⋊C4—831no—
1184C2×C22⋊C4—831no—
1185C2×C22⋊C4—831no—
1186C2×C22⋊C4—831no—
1187C2×C22⋊C4—831no—
1188C2×C22⋊C4—831no—
1189C2×C22⋊C4—831no—
1190C2×C22⋊C4—831no—
1191C2×C22⋊C4—831no—
1192C2×C22⋊C4—831no—
1193C2×C22⋊C4—831no—
1194C2×C22⋊C4—831no—
1195C2×C22⋊C4—831no—
1196C2×C22⋊C4—831no—
1197C2×C22⋊C4—831no—
1198C2×C22⋊C4—831no—
1199C2×C22⋊C4—831no—
1200C2×C22⋊C4—831no—
1201C2×C22⋊C4—831no—
1202C2×C22⋊C4—831no—
1203C2×C22⋊C4—831no—
1204C2×C22⋊C4—831no—
1205C2×C22⋊C4—831no—
1206C2×C22⋊C4—831no—
1207C2×C22⋊C4—831no—
1208C2×C22⋊C4—831no—
1209C2×C22⋊C4—831no—
1210C2×C22⋊C4—831no—
1211C2×C22⋊C4—831no—
1212C2×C22⋊C4—831no—
1213C2×C22⋊C4C22×D8311yescharacteristic
1214C2×C22⋊C4C22×D8311yescharacteristic
1215C2×C22⋊C4C22×D8311yescharacteristic
1216C2×C22⋊C4C22×D8311yescharacteristic
1217C2×C22⋊C4C22×D8311yescharacteristic
1218C2×C22⋊C4C22×D8311yescharacteristic
1219C2×C22⋊C4C22×D8311yescharacteristic
1220C2×C22⋊C4C22×D8311yescharacteristic
1221C2×C22⋊C4C22×D8311yescharacteristic
1222C2×C22⋊C4C22×D8311yescharacteristic
1223C2×C22⋊C4C22×D8311yescharacteristic
1224C2×C22⋊C4C22×D8311yescharacteristic
1225C2×C42—831no—
1226C2×C42—831no—
1227C2×C42—831no—
1228#95—831no—
1229#95—831no—
1230#95—831no—
1231#95—831no—
1232#95—831no—
1233#95—831no—
1234#95—831no—
1235#95—831no—
1236#95—831no—
1237#95—831no—
1238#95—831no—
1239#95—831no—
1240#95—831no—
1241#95—831no—
1242#95—831no—
1243#95—831no—
1244#95—831no—
1245#95—831no—
1246#95—831no—
1247#95—831no—
1248#95—831no—
1249#95—831no—
1250#95—831no—
1251#95—831no—
1252#95—831no—
1253#95—831no—
1254#95—831no—
1255#95—831no—
1256#95—831no—
1257#95—831no—
1258#95—831no—
1259#95—831no—
1260#95—831no—
1261#95—831no—
1262#95C22×D8311yescharacteristic
1263#95C22×D8311yescharacteristic
1264#95C22×D8311yescharacteristic
1265#95C22×D8311yescharacteristic
1266#95C22×D8311yescharacteristic
1267#95C22×D8311yescharacteristic
1268C24—22no—
1269C24—22no—
1270C24—22no—
1271C24—22no—
1272C24—22no—
1273C24—41no—
1274C24—41no—
1275C24—3321no—
1276C24—3321no—
1277C24—3321no—
1278C24—3321no—
1279C24—3321no—
1280C24—3321no—
1281C24—3321no—
1282C24—3321no—
1283C24—3321no—
1284C24—3321no—
1285C24—834no—
1286C24—831no—
1287C24—831no—
1288C24—831no—
1289C24—1662no—
1290C24—1662no—
1291C24—1662no—
1292C24C23×D8311yescharacteristic
1293C24C23×D8311yescharacteristic
1294C24C23×D8311yescharacteristic
1295C24C23×D8311yescharacteristic
1296C24C23×D8311yescharacteristic
1297C2×Q8—3321no—
1298C2×Q8—3321no—
1299C2×Q8—3321no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—3321no—
1322C2×D4—3321no—
1323C2×D4—33216no—
1324C2×D4—33216no—
1325C2×D4—3321no—
1326C2×D4—3321no—
1327C2×D4—3321no—
1328C2×D4—3321no—
1329C2×D4—3321no—
1330C2×D4—3321no—
1331C2×D4—3321no—
1332C2×D4—3321no—
1333C2×D4—3321no—
1334C2×D4—3321no—
1335C2×D4—3321no—
1336C2×D4—3321no—
1337C2×D4—3321no—
1338C2×D4—3321no—
1339C2×D4—3321no—
1340C2×D4—3321no—
1341C2×D4—3321no—
1342C2×D4—1662no—
1343C2×D4—1662no—
1344C2×D4—1662no—
1345C2×D4—1662no—
1346C2×D4—1662no—
1347C2×D4—1662no—
1348C2×D4—1662no—
1349C2×D4—1662no—
1350C2×D4—1662no—
1351C2×D4—1662no—
1352C2×D4—1662no—
1353C2×D4—1662no—
1354C2×D4—1662no—
1355C2×D4—1662no—
1356C2×D4—1662no—
1357C2×D4—1662no—
1358C2×D4—1662no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
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—416no—
1378C22×C4—3321no—
1379C22×C4—3321no—
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—831no—
1396C22×C4—831no—
1397C22×C4—831no—
1398C22×C4—831no—
1399C22×C4—831no—
1400C22×C4—831no—
1401C22×C4—831no—
1402C22×C4—831no—
1403C22×C4—831no—
1404C22×C4—831no—
1405C22×C4—831no—
1406C22×C4—831no—
1407C22×C4—831no—
1408C22×C4—1662no—
1409C22×C4—1662no—
1410C22×C4—1662no—
1411C22×C4—1662no—
1412C22×C4C23×D8311yescharacteristic
1413C22×C4C23×D8311yescharacteristic
1414C22×C4C23×D8311yescharacteristic
1415C22×C4C23×D8311yescharacteristic
1416C22×C4C23×D8311yescharacteristic
1417C22×C4C23×D8311yescharacteristic
1418C22×C4C23×D8311yescharacteristic
1419C22×C4C23×D8311yescharacteristic
1420C22×C4C23×D8311yescharacteristic
1421C22×C4C23×D8311yescharacteristic
1422C4⋊C4—22no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—3321no—
1426C4⋊C4—3321no—
1427C4⋊C4—3321no—
1428C4⋊C4—3321no—
1429C4⋊C4—3321no—
1430C4⋊C4—3321no—
1431C4⋊C4—3321no—
1432C4⋊C4—3321no—
1433C4⋊C4—3321no—
1434C4⋊C4—3321no—
1435C4⋊C4—3321no—
1436C4⋊C4—3321no—
1437C4⋊C4—1662no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—3321no—
1451C22⋊C4—3321no—
1452C22⋊C4—3321no—
1453C22⋊C4—3321no—
1454C22⋊C4—3321no—
1455C22⋊C4—3321no—
1456C22⋊C4—3321no—
1457C22⋊C4—3321no—
1458C22⋊C4—3321no—
1459C22⋊C4—3321no—
1460C22⋊C4—3321no—
1461C22⋊C4—3321no—
1462C22⋊C4—3321no—
1463C22⋊C4—3321no—
1464C22⋊C4—3321no—
1465C22⋊C4—3321no—
1466C22⋊C4—3321no—
1467C22⋊C4—3321no—
1468C22⋊C4—3321no—
1469C22⋊C4—3321no—
1470C22⋊C4—3321no—
1471C22⋊C4—3321no—
1472C22⋊C4—3321no—
1473C22⋊C4—3321no—
1474C22⋊C4—3321no—
1475C22⋊C4—3321no—
1476C22⋊C4—3321no—
1477C22⋊C4—3321no—
1478C22⋊C4—3321no—
1479C22⋊C4—3321no—
1480C22⋊C4—3321no—
1481C22⋊C4—3321no—
1482C22⋊C4—3321no—
1483C22⋊C4—3321no—
1484C22⋊C4—3321no—
1485C22⋊C4—3321no—
1486C22⋊C4—1662no—
1487C22⋊C4—1662no—
1488C22⋊C4—1662no—
1489C22⋊C4—1662no—
1490C22⋊C4—1662no—
1491C22⋊C4—1662no—
1492C22⋊C4—1662no—
1493C22⋊C4—1662no—
1494C22⋊C4—1662no—
1495C22⋊C4—1662no—
1496C22⋊C4—1662no—
1497C22⋊C4—1662no—
1498C42—3321no—
1499C42—3321no—
1500C42—3321no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—28no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—44no—
1537C23—44no—
1538C23—3324no—
1539C23—3324no—
1540C23—3324no—
1541C23—832no—
1542C23—832no—
1543C23—6642no—
1544C23—6642no—
1545C23—6642no—
1546C23—6642no—
1547C23—6642no—
1548C23—6642no—
1549C23—6642no—
1550C23—6642no—
1551C23—6642no—
1552C23—6642no—
1553C23—1661no—
1554C23—1661no—
1555C23—1661no—
1556C23—1661no—
1557C23—1661no—
1558C23—1661no—
1559C23—1661no—
1560C23—1661no—
1561C23—1661no—
1562C23—1661no—
1563C23—1661no—
1564C23—1661no—
1565C23—1661no—
1566C23—1661no—
1567C23—1661no—
1568C23—1661no—
1569C23—1661no—
1570C23—1661no—
1571C23—1661no—
1572C23—1668no—
1573C23#41×D8312yes—
1574C23#1458183712yes—
1575C23#1458183712yes—
1576C23#1458183712yes—
1577C23#1458183812yes—
1578C23C24×D8311yescharacteristic
1579Q8—6642no—
1580D4—44no—
1581D4—44no—
1582D4—82no—
1583D4—82no—
1584D4—82no—
1585D4—82no—
1586D4—82no—
1587D4—3324no—
1588D4—3324no—
1589D4—3324no—
1590D4—3324no—
1591D4—3324no—
1592D4—3324no—
1593D4—3324no—
1594D4—6642no—
1595D4—6642no—
1596D4—6642no—
1597D4—6642no—
1598D4—6642no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—3324no—
1635C2×C4—3324no—
1636C2×C4—6642no—
1637C2×C4—6642no—
1638C2×C4—6642no—
1639C2×C4—6642no—
1640C2×C4—6642no—
1641C2×C4—1661no—
1642C2×C4—1661no—
1643C2×C4—1661no—
1644C2×C4—1661no—
1645C2×C4—1661no—
1646C2×C4—1661no—
1647C2×C4—1661no—
1648C2×C4—1661no—
1649C2×C4—1661no—
1650C2×C4—1661no—
1651C2×C4—1661no—
1652C2×C4—1661no—
1653C2×C4—1661no—
1654C2×C4—1661no—
1655C2×C4—1661no—
1656C2×C4—1661no—
1657C2×C4—1661no—
1658C2×C4—1661no—
1659C2×C4—1661no—
1660C2×C4—1661no—
1661C2×C4—1661no—
1662C2×C4—1661no—
1663C2×C4—1661no—
1664C2×C4—1661no—
1665C2×C4—1661no—
1666C2×C4—1661no—
1667C2×C4—1661no—
1668C2×C4—1661no—
1669C2×C4—1661no—
1670C2×C4—1661no—
1671C2×C4—1661no—
1672C2×C4—1661no—
1673C2×C4—1661no—
1674C2×C4—1661no—
1675C2×C4—1661no—
1676C2×C4—1661no—
1677C2×C4—1661no—
1678C2×C4—1661no—
1679C2×C4—1661no—
1680C2×C4#1458183712yes—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—416no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—3321no—
1717C22—3321no—
1718C22—3321no—
1719C22—3321no—
1720C22—3321no—
1721C22—3321no—
1722C22—3321no—
1723C22—3321no—
1724C22—3321no—
1725C22—3321no—
1726C22—3321no—
1727C22—3321no—
1728C22—3321no—
1729C22—3321no—
1730C22—3321no—
1731C22—6648no—
1732C22—6648no—
1733C22—1662no—
1734C22—1662no—
1735C22—1662no—
1736C22—1662no—
1737C22—1662no—
1738C22—1662no—
1739C22#1912828314yes—
1740C22C2×#41×D8311yescharacteristic
1741C22C2×#1458183711yescharacteristic
1742C22C2×#1458183711yescharacteristic
1743C22C2×#1458183711yescharacteristic
1744C22C2×#1458183711yescharacteristic
1745C22C2×#1458183811yescharacteristic
1746C22#1912853711yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—3321no—
1758C4—3321no—
1759C4—3321no—
1760C4—3321no—
1761C4—3321no—
1762C4—3321no—
1763C4—3321no—
1764C4—3321no—
1765C4—3321no—
1766C4—3321no—
1767C4—3321no—
1768C4—3321no—
1769C4—3321no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—81no—
1774C2—81no—
1775C2—3322no—
1776C2—3322no—
1777C2—6641no—
1778C2C2×#1912828311yescharacteristic
1779C2#2492114611yescharacteristic
1780C2#2492129111yescharacteristic
1781C2#2492161811yescharacteristic
1782C2#2492164711yescharacteristic
1783C2#2492165311yescharacteristic
1784C2#2492169811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2847C2
hypercenter#2847D83
hypocenterC83#36776
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. #24915755C2semidirect
2. #24915084C2semidirect
3. #24915077C2semidirect
4. #24914839C2semidirect
5. #24914702C2semidirect
6. #24914690C2semidirect
7. #24914689C2semidirect
8. #24914598C2semidirect
9. #24914109C2semidirect
10. #24914027C2semidirect
11. #24914013C2semidirect
12. #24913897C2semidirect
13. #24913895C2semidirect
14. #24913842C2semidirect
15. #24913791C2semidirect
16. #24913758C2semidirect
17. #24913666C2semidirect
18. #24913418C2semidirect
19. #24913393C2semidirect
20. #24912019C2semidirect
21. #24911588C2semidirect
22. #24911209C2semidirect
23. #24911131C2semidirect
24. #24911003C2semidirect
25. #24910834C2semidirect
26. #24910833C2semidirect
27. #24910774C2semidirect
28. #24910126C2semidirect
29. #24910037C2semidirect
30. C2×#19127580C2semidirect
31. C83×#2847C2semidirect
34. C2×#14581779C22semidirect
35. C2×#14581775C22semidirect
36. C2×#14581775C22semidirect
37. C2×#14581770C22semidirect
38. C2×#14581769C22semidirect
40. C2×#14581764C22semidirect
41. C2×#14581763C22semidirect
42. C2×#14581763C22semidirect
47. C2×#14581760C22semidirect
48. C2×D4×Dic83C22semidirect
49. C22×C22⋊Dic83C22semidirect
53. C83⋊#401C22semidirect
54. C83⋊#401C22semidirect
55. #19127643C22semidirect
56. #19127643C22semidirect
57. #19127642C22semidirect
58. #19127642C22semidirect
59. #19127641C22semidirect
60. #19127640C22semidirect
61. #19127640C22semidirect
62. #19127636C22semidirect
63. #19127630C22semidirect
64. #19127629C22semidirect
65. #19127629C22semidirect
66. #19127629C22semidirect
67. #19127629C22semidirect
68. #19127628C22semidirect
69. #19127627C22semidirect
70. #19127626C22semidirect
71. #19127626C22semidirect
72. #19127626C22semidirect
73. #19127625C22semidirect
74. #19127624C22semidirect
75. #19127624C22semidirect
76. #19127623C22semidirect
77. #19127618C22semidirect
80. #19127617C22semidirect
81. #19127617C22semidirect
82. #19127616C22semidirect
83. #19127616C22semidirect
84. #19127615C22semidirect
85. #19127615C22semidirect
86. #19127615C22semidirect
87. #19127615C22semidirect
88. #19127614C22semidirect
89. #19127614C22semidirect
90. #19127613C22semidirect
91. #19127613C22semidirect
94. #19127610C22semidirect
99. #19127609C22semidirect
100. #19127609C22semidirect
101. #19127604C22semidirect
102. #19127601C22semidirect
103. #19127601C22semidirect
104. #19127601C22semidirect
105. #19127595C22semidirect
106. #19127595C22semidirect
107. #19127595C22semidirect
108. #19127593C22semidirect
109. #19127593C22semidirect
110. #19127593C22semidirect
111. #19127591C22semidirect
112. #19127590C22semidirect
113. #19127590C22semidirect
114. #19127589C22semidirect
115. #19127587C22semidirect
116. #19127582C22semidirect
120. #19127581C22semidirect
121. #19127581C22semidirect
122. #19127581C22semidirect
129. #19127580C22semidirect
130. #19127580C22semidirect
131. #19127580C22semidirect
132. #19127580C22semidirect
133. #19127580C22semidirect
134. #19127580C22semidirect
135. #19127579C22semidirect
136. #19127579C22semidirect
139. #19127578C22semidirect
140. #19127578C22semidirect
143. #19127577C22semidirect
144. #19127577C22semidirect
145. #19127577C22semidirect
146. #19127577C22semidirect
147. #19127577C22semidirect
148. #19127576C22semidirect
149. #19127575C22semidirect
150. #19127574C22semidirect
151. #19127574C22semidirect
152. #19127574C22semidirect
153. #19127574C22semidirect
154. #19127573C22semidirect
155. #19127572C22semidirect
156. #19127572C22semidirect
157. #19127568C22semidirect
158. #19127564C22semidirect
159. #19127564C22semidirect
160. #19127563C22semidirect
161. #19127563C22semidirect
162. #19127562C22semidirect
163. #19127560C22semidirect
164. #19127557C22semidirect
166. #19127556C22semidirect
167. #19127556C22semidirect
168. #19127556C22semidirect
169. C22⋊C4×Dic83C22semidirect
170. C2×C83⋊#95C22semidirect
171. C2×C83⋊#95C22semidirect
172. C24×C4×C83C22semidirect
174. C2×#121×C83C22semidirect
175. C2×#121×C83C22semidirect
177. C2×#120×C83C22semidirect
179. #386×C83C22semidirect
180. #386×C83C22semidirect
181. #386×C83C22semidirect
182. #386×C83C22semidirect
183. #386×C83C22semidirect
184. #380×C83C22semidirect
185. #380×C83C22semidirect
186. #380×C83C22semidirect
894. #2847D83semidirect
924. C83#36776semidirect
927. C24×C4C2×D83semidirect
938. C2×#121C2×D83semidirect
939. C2×#121C2×D83semidirect
946. C2×#120C2×D83semidirect
1048. #386C2×D83semidirect
1049. #386C2×D83semidirect
1050. #386C2×D83semidirect
1051. #386C2×D83semidirect
1052. #386C2×D83semidirect
1069. #380C2×D83semidirect
1070. #380C2×D83semidirect
1071. #380C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157552
#249150842
#249150772
#249148392
#249147022
#249146902
#249146892
#249145982
#249141092
#249140272
#249140132
#249138972
#249138952
#249138422
#249137912
#249137582
#249136662
#249134182
#249133932
#249120192
#249115882
#249112092
#249111312
#249110032
#249108342
#249108332
#249107742
#249101262
#249100372
C2×#191275802
C83×#28472
#3677683