Finite Group Databasebeta

← #35612778

Subgroups — #35612778

Order 21248.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915755C211yesmaximal, characteristic, complemented
2#24915108C211yesmaximal, characteristic, complemented
3#24915107C211yesmaximal, characteristic, complemented
4#24914938C211yesmaximal, characteristic, complemented
5#24914850C211yesmaximal, characteristic, complemented
6#24914743C211yesmaximal, characteristic, complemented
7#24914689C211yesmaximal, characteristic, complemented
8#24914674C211yesmaximal, characteristic, complemented
9#24914600C211yesmaximal, characteristic, complemented
10#24914529C211yesmaximal, characteristic, complemented
11#24914214C211yesmaximal, characteristic, complemented
12#24914166C211yesmaximal, characteristic, complemented
13#24914154C211yesmaximal, characteristic, complemented
14#24914079C211yesmaximal, characteristic, complemented
15#24914072C211yesmaximal, characteristic, complemented
16#24913893C211yesmaximal, characteristic, complemented
17#24913695C211yesmaximal, characteristic, complemented
18#24913247C211yesmaximal, characteristic, complemented
19#24913211C211yesmaximal, characteristic, complemented
20#24912391C211yesmaximal, characteristic, complemented
21#24912350C211yesmaximal, characteristic, complemented
22#24911184C211yesmaximal, characteristic, complemented
23#24911020C211yesmaximal, characteristic, complemented
24#24910995C211yesmaximal, characteristic, complemented
25#24910946C211yesmaximal, characteristic, complemented
26#24910921C211yesmaximal, characteristic, complemented
27#24910900C211yesmaximal, characteristic, complemented
28#24910164C211yesmaximal, characteristic, complemented
29#24910089C211yesmaximal, characteristic, complemented
30C2×#19127574C211yesmaximal, characteristic, complemented
31C83×#2847C211yesmaximal, characteristic, complemented
32C2×#14581782C2211yescharacteristic, complemented
33C2×#14581776C2211yescharacteristic
34C2×#14581775C2211yescharacteristic
35C2×#14581775C2211yescharacteristic
36C2×#14581773C2211yescharacteristic
37C2×#14581773C2211yescharacteristic
38C2×#14581773C2211yescharacteristic
39C2×#14581764C2211yescharacteristic
40C2×#14581764C2211yescharacteristic
41C2×#14581764C2211yescharacteristic, complemented
42C2×#14581763C2211yescharacteristic
43C2×#14581761C2211yescharacteristic
44C2×D4×Dic83C2211yescharacteristic
45C2×D4×Dic83C2211yescharacteristic
46C2×(C22⋊D83)⋊C4C2211yescharacteristic
47C22×Dic83⋊C4C2211yescharacteristic
48C22×Dic83⋊C4C2211yescharacteristic
49C22×C22⋊Dic83C2211yescharacteristic
50C22×C22⋊Dic83C2211yescharacteristic
51#19127643C2211yescharacteristic, complemented
52#19127642C2211yescharacteristic, complemented
53#19127642C2211yescharacteristic, complemented
54#19127642C2211yescharacteristic, complemented
55#19127639C2211yescharacteristic, complemented
56#19127637C2211yescharacteristic
57#19127637C2211yescharacteristic
58#19127637C2211yescharacteristic
59#19127637C2211yescharacteristic, complemented
60#19127637C2211yescharacteristic, complemented
61#19127635C2211yescharacteristic, complemented
62#19127635C2211yescharacteristic, complemented
63#19127635C2211yescharacteristic, complemented
64#19127635C2211yescharacteristic, complemented
65#19127635C2211yescharacteristic, complemented
66#19127634C2211yescharacteristic, complemented
67#19127634C2211yescharacteristic, complemented
68#19127631C2211yescharacteristic, complemented
69#19127630C2211yescharacteristic, complemented
70#19127629C2211yescharacteristic, complemented
71#19127629C2211yescharacteristic, complemented
72#19127629C2211yescharacteristic, complemented
73#19127627C2211yescharacteristic, complemented
74#19127626C2211yescharacteristic
75#19127625C2211yescharacteristic, complemented
76#19127625C2211yescharacteristic, complemented
77#19127624C2211yescharacteristic
78#19127624C2211yescharacteristic
79#19127624C2211yescharacteristic
80#19127624C2211yescharacteristic, complemented
81#19127624C2211yescharacteristic, complemented
82#19127624C2211yescharacteristic, complemented
83#19127624C2211yescharacteristic, complemented
84#19127623C2211yescharacteristic, complemented
85#19127617C2211yescharacteristic
86#19127616C2211yescharacteristic, complemented
87#19127616C2211yescharacteristic, complemented
88#19127616C2211yescharacteristic, complemented
89#19127615C2211yescharacteristic
90#19127615C2211yescharacteristic
91#19127615C2211yescharacteristic
92#19127615C2211yescharacteristic
93#19127615C2211yescharacteristic
94#19127615C2211yescharacteristic, complemented
95#19127615C2211yescharacteristic, complemented
96#19127609C2211yescharacteristic
97#19127609C2211yescharacteristic
98#19127609C2211yescharacteristic
99#19127604C2211yescharacteristic
100#19127604C2211yescharacteristic
101#19127604C2211yescharacteristic
102#19127601C2211yescharacteristic
103#19127601C2211yescharacteristic
104#19127601C2211yescharacteristic, complemented
105#19127598C2211yescharacteristic, complemented
106#19127596C2211yescharacteristic, complemented
107#19127596C2211yescharacteristic, complemented
108#19127596C2211yescharacteristic, complemented
109#19127595C2211yescharacteristic
110#19127595C2211yescharacteristic
111#19127595C2211yescharacteristic, complemented
112#19127595C2211yescharacteristic, complemented
113#19127595C2211yescharacteristic, complemented
114#19127590C2211yescharacteristic, complemented
115#19127589C2211yescharacteristic
116#19127589C2211yescharacteristic
117#19127589C2211yescharacteristic
118#19127589C2211yescharacteristic, complemented
119#19127588C2211yescharacteristic, complemented
120#19127588C2211yescharacteristic, complemented
121#19127587C2211yescharacteristic, complemented
122#19127586C2211yescharacteristic, complemented
123#19127584C2211yescharacteristic, complemented
124#19127583C2211yescharacteristic, complemented
125#19127581C2211yescharacteristic
126#19127581C2211yescharacteristic
127#19127581C2211yescharacteristic
128#19127581C2211yescharacteristic
129#19127581C2211yescharacteristic
130#19127581C2211yescharacteristic, complemented
131#19127580C2211yescharacteristic
132#19127580C2211yescharacteristic
133#19127580C2211yescharacteristic
134#19127580C2211yescharacteristic
135#19127578C2211yescharacteristic, complemented
136#19127577C2211yescharacteristic
137#19127577C2211yescharacteristic, complemented
138#19127576C2211yescharacteristic
139#19127575C2211yescharacteristic, complemented
140#19127574C2211yescharacteristic
141#19127574C2211yescharacteristic
142#19127574C2211yescharacteristic
143#19127574C2211yescharacteristic
144#19127574C2211yescharacteristic
145#19127574C2211yescharacteristic
146#19127574C2211yescharacteristic
147#19127574C2211yescharacteristic
148#19127574C2211yescharacteristic
149#19127574C2211yescharacteristic
150#19127574C2211yescharacteristic
151#19127574C2211yescharacteristic
152#19127573C2211yescharacteristic
153#19127573C2211yescharacteristic, complemented
154#19127572C2211yescharacteristic, complemented
155#19127568C2211yescharacteristic, complemented
156#19127565C2211yescharacteristic, complemented
157#19127565C2211yescharacteristic, complemented
158#19127564C2211yescharacteristic
159#19127564C2211yescharacteristic
160#19127563C2211yescharacteristic, complemented
161#19127562C2211yescharacteristic
162#19127562C2211yescharacteristic, complemented
163#19127559C2211yescharacteristic
164#19127559C2211yescharacteristic
165#19127559C2211yescharacteristic, complemented
166#19127559C2211yescharacteristic, complemented
167#19127559C2211yescharacteristic, complemented
168#19127557C2211yescharacteristic
169C22⋊C4×Dic83C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172C24×C4×C83C2211yescharacteristic
173C2×#121×C83C2211yescharacteristic
174C2×#121×C83C2211yescharacteristic
175C2×#121×C83C2211yescharacteristic
176C2×#120×C83C2211yescharacteristic
177C2×#120×C83C2211yescharacteristic
178#386×C83C2211yescharacteristic
179#386×C83C2211yescharacteristic
180#386×C83C2211yescharacteristic
181#386×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic
183#386×C83C2211yescharacteristic
184#380×C83C2211yescharacteristic
185#380×C83C2211yescharacteristic
186#380×C83C2211yescharacteristic
187C22×C22⋊D83C2311yescharacteristic
188C22×C22⋊D83C2311yescharacteristic
189C22×C22⋊D83C2311yescharacteristic
190C22×C22⋊D83C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C23×Dic83C2311yescharacteristic
193C23×Dic83C2311yescharacteristic
194C23×Dic83C2311yescharacteristic
195C23×Dic83C2311yescharacteristic
196C23×Dic83C2311yescharacteristic
197C23×Dic83C2311yescharacteristic
198C22×C4×D83C2311yescharacteristic
199#14581782—42no—
200#14581776—42no—
201#14581775—42no—
202#14581775—42no—
203#14581773—42no—
204#14581773—42no—
205#14581773—42no—
206#14581764—24no—
207#14581764—42no—
208#14581764—42no—
209#14581763—42no—
210#14581761—42no—
211D4×Dic83—24no—
212D4×Dic83—42no—
213(C22⋊D83)⋊C4—42no—
214C2×C4⋊Dic83C2311yescharacteristic
215C2×C4⋊Dic83C2311yescharacteristic
216C2×C4⋊Dic83C2311yescharacteristic
217C2×C4⋊Dic83C2311yescharacteristic
218C2×C4⋊Dic83C2311yescharacteristic
219C2×C4⋊Dic83C2311yescharacteristic
220C2×Dic83⋊C4—42no—
221C2×Dic83⋊C4—42no—
222C2×Dic83⋊C4C2311yescharacteristic
223C2×Dic83⋊C4C2311yescharacteristic
224C2×Dic83⋊C4C2311yescharacteristic
225C2×Dic83⋊C4C2311yescharacteristic
226C2×Dic83⋊C4C2311yescharacteristic
227C2×Dic83⋊C4C2311yescharacteristic
228C2×Dic83⋊C4C2311yescharacteristic
229C2×Dic83⋊C4C2311yescharacteristic
230C2×Dic83⋊C4C2311yescharacteristic
231C2×Dic83⋊C4C2311yescharacteristic
232C2×Dic83⋊C4C2311yescharacteristic
233C2×Dic83⋊C4C2311yescharacteristic
234C2×Dic83⋊C4C2311yescharacteristic
235C2×Dic83⋊C4C2311yescharacteristic
236C2×Dic83⋊C4C2311yescharacteristic
237C2×Dic83⋊C4C2311yescharacteristic
238C2×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—24no—
248C2×C22⋊Dic83—42no—
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×C22⋊Dic83C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×C22⋊Dic83C2311yescharacteristic
272C2×C22⋊Dic83C2311yescharacteristic
273C2×C22⋊Dic83C2311yescharacteristic
274C2×C22⋊Dic83C2311yescharacteristic
275C2×C22⋊Dic83C2311yescharacteristic
276C2×C22⋊Dic83C2311yescharacteristic
277C2×C22⋊Dic83C2311yescharacteristic
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
326C25×C83C2311yescharacteristic
327C22×D4×C83C2311yescharacteristic
328C22×D4×C83C2311yescharacteristic
329C22×D4×C83C2311yescharacteristic
330C22×D4×C83C2311yescharacteristic
331C22×D4×C83C2311yescharacteristic
332C22×D4×C83C2311yescharacteristic
333C22×D4×C83C2311yescharacteristic
334C23×C4×C83—42no—
335C23×C4×C83—42no—
336C23×C4×C83—42no—
337C23×C4×C83C2311yescharacteristic
338C23×C4×C83C2311yescharacteristic
339C23×C4×C83C2311yescharacteristic
340C23×C4×C83C2311yescharacteristic
341C23×C4×C83C2311yescharacteristic
342C23×C4×C83C2311yescharacteristic
343#121×C83—42no—
344#121×C83—42no—
345#121×C83—42no—
346#120×C83—42no—
347#120×C83—42no—
348C2×C4⋊C4×C83C2311yescharacteristic
349C2×C4⋊C4×C83C2311yescharacteristic
350C2×C4⋊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
363#95×C83C2311yescharacteristic
364#95×C83C2311yescharacteristic
365#95×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369C23×D83C2411yescharacteristic
370C2×C22⋊D83—22no—
371C2×C22⋊D83—22no—
372C2×C22⋊D83—22no—
373C2×C22⋊D83—22no—
374C2×C22⋊D83—22no—
375C2×C22⋊D83—22no—
376C2×C22⋊D83—41no—
377C2×C22⋊D83—41no—
378C2×C22⋊D83—41no—
379C2×C22⋊D83—41no—
380C2×C22⋊D83—41no—
381C2×C22⋊D83—41no—
382C2×C22⋊D83—41no—
383C2×C22⋊D83—41no—
384C2×C22⋊D83—41no—
385C22×Dic83—22no—
386C22×Dic83—22no—
387C22×Dic83—22no—
388C22×Dic83—22no—
389C22×Dic83—22no—
390C22×Dic83—22no—
391C22×Dic83—41no—
392C22×Dic83—41no—
393C22×Dic83—41no—
394C22×Dic83—41no—
395C22×Dic83—41no—
396C22×Dic83—41no—
397C22×Dic83—41no—
398C22×Dic83—41no—
399C22×Dic83—41no—
400C22×Dic83—41no—
401C22×Dic83—41no—
402C22×Dic83#4114yes—
403C22×Dic83C2411yescharacteristic
404C22×Dic83C2411yescharacteristic
405C22×Dic83C2411yescharacteristic
406C22×Dic83C2411yescharacteristic
407C22×Dic83C2411yescharacteristic
408C22×Dic83C2411yescharacteristic
409C22×Dic83C2411yescharacteristic
410C22×Dic83C2411yescharacteristic
411C22×Dic83C2411yescharacteristic
412C22×Dic83C2411yescharacteristic
413C22×Dic83C2411yescharacteristic
414C22×Dic83C2411yescharacteristic
415C22×Dic83C2411yescharacteristic
416C22×Dic83C2411yescharacteristic
417C22×Dic83C2411yescharacteristic
418C2×C4×D83—41no—
419C2×C4×D83—41no—
420C2×C4×D83—41no—
421C4⋊Dic83—22no—
422C4⋊Dic83—41no—
423C4⋊Dic83—41no—
424C4⋊Dic83—41no—
425C4⋊Dic83—41no—
426C4⋊Dic83—41no—
427Dic83⋊C4—22no—
428Dic83⋊C4—22no—
429Dic83⋊C4—22no—
430Dic83⋊C4—22no—
431Dic83⋊C4—41no—
432Dic83⋊C4—41no—
433Dic83⋊C4—41no—
434Dic83⋊C4—41no—
435Dic83⋊C4—41no—
436Dic83⋊C4—41no—
437Dic83⋊C4—41no—
438Dic83⋊C4—41no—
439Dic83⋊C4—41no—
440Dic83⋊C4—41no—
441Dic83⋊C4—41no—
442Dic83⋊C4—41no—
443Dic83⋊C4—41no—
444Dic83⋊C4—41no—
445Dic83⋊C4—41no—
446Dic83⋊C4—41no—
447Dic83⋊C4—41no—
448Dic83⋊C4—41no—
449Dic83⋊C4—41no—
450Dic83⋊C4—41no—
451Dic83⋊C4—41no—
452C22⋊Dic83—22no—
453C22⋊Dic83—22no—
454C22⋊Dic83—22no—
455C22⋊Dic83—22no—
456C22⋊Dic83—22no—
457C22⋊Dic83—22no—
458C22⋊Dic83—22no—
459C22⋊Dic83—22no—
460C22⋊Dic83—22no—
461C22⋊Dic83—22no—
462C22⋊Dic83—22no—
463C22⋊Dic83—22no—
464C22⋊Dic83—22no—
465C22⋊Dic83—41no—
466C22⋊Dic83—41no—
467C22⋊Dic83—41no—
468C22⋊Dic83—41no—
469C22⋊Dic83—41no—
470C22⋊Dic83—41no—
471C22⋊Dic83—41no—
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—
481(C2×D83)⋊C4—22no—
482(C2×D83)⋊C4—22no—
483(C2×D83)⋊C4—41no—
484(C2×D83)⋊C4—41no—
485(C2×D83)⋊C4—41no—
486(C2×D83)⋊C4—41no—
487(C2×D83)⋊C4—41no—
488(C2×D83)⋊C4—41no—
489(C2×D83)⋊C4—41no—
490C4×Dic83—22no—
491C4×Dic83—41no—
492C4×Dic83—41no—
493C4×Dic83—41no—
494C4×Dic83—41no—
495C24×C83—22no—
496C24×C83—22no—
497C24×C83—22no—
498C24×C83—22no—
499C24×C83—22no—
500C24×C83—41no—
501C24×C83—41no—
502C24×C83C2411yescharacteristic
503C24×C83C2411yescharacteristic
504C24×C83C2411yescharacteristic
505C24×C83C2411yescharacteristic
506C24×C83C2411yescharacteristic
507C2×D4×C83—22no—
508C2×D4×C83—22no—
509C2×D4×C83—22no—
510C2×D4×C83—22no—
511C2×D4×C83—22no—
512C2×D4×C83—22no—
513C2×D4×C83—22no—
514C2×D4×C83—22no—
515C2×D4×C83—22no—
516C2×D4×C83—22no—
517C2×D4×C83—22no—
518C2×D4×C83—41no—
519C2×D4×C83—41no—
520C2×D4×C83—41no—
521C2×D4×C83—41no—
522C2×D4×C83—41no—
523C2×D4×C83—41no—
524C2×D4×C83—41no—
525C2×D4×C83—41no—
526C2×D4×C83—41no—
527C2×D4×C83—41no—
528C22×C4×C83—22no—
529C22×C4×C83—22no—
530C22×C4×C83—22no—
531C22×C4×C83—22no—
532C22×C4×C83—22no—
533C22×C4×C83—22no—
534C22×C4×C83—22no—
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—41no—
545C22×C4×C83—41no—
546C22×C4×C83—416no—
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
556C22×C4×C83C2411yescharacteristic
557C4⋊C4×C83—22no—
558C4⋊C4×C83—41no—
559C4⋊C4×C83—41no—
560C22⋊C4×C83—22no—
561C22⋊C4×C83—22no—
562C22⋊C4×C83—41no—
563C22⋊C4×C83—41no—
564C22⋊C4×C83—41no—
565C22⋊C4×C83—41no—
566C22⋊C4×C83—41no—
567C22⋊C4×C83—41no—
568C22⋊C4×C83—41no—
569C22⋊C4×C83—41no—
570C22⋊C4×C83—41no—
571C22⋊C4×C83—41no—
572C23×C83—21no—
573C23×C83—21no—
574C23×C83—21no—
575C23×C83—21no—
576C23×C83—28no—
577C23×C83—21no—
578C23×C83—21no—
579C23×C83—21no—
580C23×C83—21no—
581C23×C83—21no—
582C23×C83—21no—
583C23×C83—21no—
584C23×C83—21no—
585C23×C83—21no—
586C23×C83—21no—
587C23×C83—21no—
588C23×C83—21no—
589C23×C83—21no—
590C23×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—44no—
604C23×C83—44no—
605C23×C83—44no—
606C23×C83—44no—
607C23×C83—44no—
608C23×C83—44no—
609C23×C83C2×#4112yes—
610C23×C83H(5,𝔽2)12yes—
611C23×C83H(5,𝔽2)12yes—
612C23×C83H(5,𝔽2)12yes—
613C23×C832−1+412yes—
614C23×C83C2511yescharacteristic
615C22×D83—21no—
616C22×D83—21no—
617C22×D83—21no—
618C22×D83—21no—
619C22×D83—21no—
620C22×D83—21no—
621C22×D83—21no—
622D4×C83—44no—
623D4×C83—44no—
624D4×C83—82no—
625D4×C83—82no—
626D4×C83—82no—
627D4×C83—82no—
628D4×C83—82no—
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—82no—
667C22⋊D83—82no—
668C22⋊D83—82no—
669C22⋊D83—82no—
670C2×Dic83—21no—
671C2×Dic83—21no—
672C2×Dic83—21no—
673C2×Dic83—21no—
674C2×Dic83—21no—
675C2×Dic83—21no—
676C2×Dic83—21no—
677C2×Dic83—21no—
678C2×Dic83—21no—
679C2×Dic83—21no—
680C2×Dic83—21no—
681C2×Dic83—21no—
682C2×Dic83—21no—
683C2×Dic83—21no—
684C2×Dic83—21no—
685C2×Dic83—21no—
686C2×Dic83—21no—
687C2×Dic83—21no—
688C2×Dic83—21no—
689C2×Dic83—21no—
690C2×Dic83—21no—
691C2×Dic83—21no—
692C2×Dic83—21no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—21no—
697C2×Dic83—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—44no—
714C2×Dic83—44no—
715C2×Dic83—82no—
716C2×Dic83—82no—
717C2×Dic83—82no—
718C2×Dic83—82no—
719C2×Dic83C2×#4112yes—
720C2×Dic83C2×#4112yes—
721C4×D83—82no—
722C22×C83—22no—
723C22×C83—22no—
724C22×C83—22no—
725C22×C83—22no—
726C22×C83—22no—
727C22×C83—22no—
728C22×C83—22no—
729C22×C83—22no—
730C22×C83—22no—
731C22×C83—22no—
732C22×C83—22no—
733C22×C83—22no—
734C22×C83—416no—
735C22×C83—41no—
736C22×C83—41no—
737C22×C83—41no—
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—41no—
754C22×C83—41no—
755C22×C83—41no—
756C22×C83—41no—
757C22×C83#54014yes—
758C22×C83C22×#4111yescharacteristic
759C22×C83C2×H(5,𝔽2)11yescharacteristic
760C22×C83C2×H(5,𝔽2)11yescharacteristic
761C22×C83C2×H(5,𝔽2)11yescharacteristic
762C22×C83C2×H(5,𝔽2)11yescharacteristic
763C22×C83C2×2−1+411yescharacteristic
764C22×C83#58511yescharacteristic
765C2×D83—41no—
766C2×D83—41no—
767C2×D83—41no—
768C2×D83—41no—
769C2×D83—41no—
770C2×D83—41no—
771C2×D83—41no—
772C4×C83—22no—
773C4×C83—41no—
774C4×C83—41no—
775C4×C83—41no—
776C4×C83—41no—
777C4×C83—41no—
778C4×C83—41no—
779C4×C83—41no—
780C4×C83—41no—
781C4×C83—41no—
782Dic83—22no—
783Dic83—22no—
784Dic83—41no—
785Dic83—41no—
786Dic83—41no—
787Dic83—41no—
788Dic83—41no—
789Dic83—41no—
790Dic83—41no—
791Dic83—41no—
792Dic83—41no—
793Dic83—41no—
794Dic83—41no—
795Dic83—41no—
796Dic83—41no—
797#36777—831nomaximal, Sylow
798C2×C83—24no—
799C2×C83—42no—
800C2×C83—42no—
801C2×C83—81no—
802C2×C83—81no—
803C2×C83C2×#54011yescharacteristic
804C2×C83#349211yescharacteristic
805C2×C83#350511yescharacteristic
806C2×C83#353211yescharacteristic
807C2×C83#353411yescharacteristic
808C2×C83#353511yescharacteristic
809C2×C83#353611yescharacteristic
810D83—81no—
811#2849—831no—
812#2847D8311yescharacteristic, complemented
813#2780—831no—
814#2780—831no—
815#2768—831no—
816#2761—831no—
817#2753—831no—
818#2749—831no—
819#2748—831no—
820#2743—831no—
821#2738—831no—
822#2711—831no—
823#2707—831no—
824#2706—831no—
825#2701—831no—
826#2701—831no—
827#2688—831no—
828#2671—831no—
829#2623—831no—
830#2618—831no—
831#2539—831no—
832#2534—831no—
833#2442—831no—
834#2425—831no—
835#2424—831no—
836#2419—831no—
837#2418—831no—
838#2416—831no—
839#2325—831no—
840#2318—831no—
841C2×#385—831no—
842C83#3677711yescharacteristic, complemented, Sylow
843C24×C4C2×D8311yescharacteristic
844C2×#125—831no—
845C2×#123—831no—
846C2×#123—831no—
847C2×#123—831no—
848C2×#123—831no—
849C2×#123—831no—
850C2×#123—831no—
851C2×#121—831no—
852C2×#121—831no—
853C2×#121—831no—
854C2×#121—831no—
855C2×#121C2×D8311yescharacteristic
856C2×#121C2×D8311yescharacteristic
857C2×#121C2×D8311yescharacteristic
858C2×#120—831no—
859C2×#120C2×D8311yescharacteristic
860C2×#120C2×D8311yescharacteristic
861C2×C4×D4—831no—
862C2×C4×D4—831no—
863C2×C4×D4—831no—
864C22×C4⋊C4—831no—
865C22×C4⋊C4—831no—
866C22×C22⋊C4—831no—
867C22×C22⋊C4—831no—
868#400—831no—
869#400—831no—
870#400—831no—
871#400—831no—
872#400—831no—
873#399—831no—
874#399—831no—
875#399—831no—
876#399—831no—
877#399—831no—
878#398—831no—
879#398—831no—
880#398—831no—
881#398—831no—
882#398—831no—
883#398—831no—
884#398—831no—
885#398—831no—
886#397—831no—
887#397—831no—
888#397—831no—
889#397—831no—
890#397—831no—
891#397—831no—
892#396—831no—
893#396—831no—
894#396—831no—
895#396—831no—
896#396—831no—
897#396—831no—
898#396—831no—
899#396—831no—
900#396—831no—
901#396—831no—
902#394—831no—
903#394—831no—
904#394—831no—
905#394—831no—
906#394—831no—
907#394—831no—
908#394—831no—
909#394—831no—
910#394—831no—
911#394—831no—
912#394—831no—
913#392—831no—
914#392—831no—
915#392—831no—
916#390—831no—
917#390—831no—
918#390—831no—
919#390—831no—
920#390—831no—
921#390—831no—
922#389—831no—
923#389—831no—
924#389—831no—
925#389—831no—
926#388—831no—
927#388—831no—
928#388—831no—
929#388—831no—
930#388—831no—
931#388—831no—
932#388—831no—
933#388—831no—
934#388—831no—
935#388—831no—
936#387—831no—
937#387—831no—
938#387—831no—
939#387—831no—
940#387—831no—
941#387—831no—
942#386—831no—
943#386—831no—
944#386—831no—
945#386—831no—
946#386—831no—
947#386—831no—
948#386—831no—
949#386—831no—
950#386—831no—
951#386—831no—
952#386—831no—
953#386—831no—
954#386—831no—
955#386C2×D8311yescharacteristic
956#386C2×D8311yescharacteristic
957#386C2×D8311yescharacteristic
958#386C2×D8311yescharacteristic
959#386C2×D8311yescharacteristic
960#386C2×D8311yescharacteristic
961#385—831no—
962#385—831no—
963#385—831no—
964#385—831no—
965#385—831no—
966#385—831no—
967#385—831no—
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#383—831no—
979#382—831no—
980#382—831no—
981#381—831no—
982#381—831no—
983#381—831no—
984#381—831no—
985#381—831no—
986#380—831no—
987#380—831no—
988#380—831no—
989#380—831no—
990#380—831no—
991#380C2×D8311yescharacteristic
992#380C2×D8311yescharacteristic
993#380C2×D8311yescharacteristic
994#379—831no—
995C4×C22⋊C4—831no—
996C2×#95—831no—
997C2×#95—831no—
998C25C22×D8311yescharacteristic
999C22×D4—831no—
1000C22×D4—831no—
1001C22×D4—831no—
1002C22×D4—831no—
1003C22×D4—831no—
1004C22×D4C22×D8311yescharacteristic
1005C22×D4C22×D8311yescharacteristic
1006C22×D4C22×D8311yescharacteristic
1007C22×D4C22×D8311yescharacteristic
1008C22×D4C22×D8311yescharacteristic
1009C22×D4C22×D8311yescharacteristic
1010C22×D4C22×D8311yescharacteristic
1011C23×C4—42no—
1012C23×C4—42no—
1013C23×C4—42no—
1014C23×C4—831no—
1015C23×C4—831no—
1016C23×C4—831no—
1017C23×C4—831no—
1018C23×C4—831no—
1019C23×C4—831no—
1020C23×C4—831no—
1021C23×C4C22×D8311yescharacteristic
1022C23×C4C22×D8311yescharacteristic
1023C23×C4C22×D8311yescharacteristic
1024C23×C4C22×D8311yescharacteristic
1025C23×C4C22×D8311yescharacteristic
1026C23×C4C22×D8311yescharacteristic
1027#125—3322no—
1028#123—3322no—
1029#123—3322no—
1030#123—3322no—
1031#123—3322no—
1032#123—3322no—
1033#123—3322no—
1034#121—42no—
1035#121—42no—
1036#121—42no—
1037#121—3322no—
1038#121—3322no—
1039#121—3322no—
1040#121—1664no—
1041#120—42no—
1042#120—42no—
1043#120—3322no—
1044C4×D4—3322no—
1045C4×D4—3322no—
1046C4×D4—1664no—
1047C2×C4⋊C4—3322no—
1048C2×C4⋊C4—3322no—
1049C2×C4⋊C4—831no—
1050C2×C4⋊C4—831no—
1051C2×C4⋊C4—831no—
1052C2×C4⋊C4—831no—
1053C2×C4⋊C4—831no—
1054C2×C4⋊C4—831no—
1055C2×C4⋊C4—831no—
1056C2×C4⋊C4—831no—
1057C2×C4⋊C4—831no—
1058C2×C4⋊C4—831no—
1059C2×C4⋊C4—831no—
1060C2×C4⋊C4—831no—
1061C2×C4⋊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⋊C4—831no—
1079C2×C4⋊C4—831no—
1080C2×C4⋊C4C22×D8311yescharacteristic
1081C2×C4⋊C4C22×D8311yescharacteristic
1082C2×C4⋊C4C22×D8311yescharacteristic
1083C2×C22⋊C4—3322no—
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—831no—
1121C2×C22⋊C4—831no—
1122C2×C22⋊C4—1664no—
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×C22⋊C4C22×D8311yescharacteristic
1135C2×C42—831no—
1136C2×C42—831no—
1137C2×C42—831no—
1138C2×C42—831no—
1139C2×C42—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#95C22×D8311yescharacteristic
1175#95C22×D8311yescharacteristic
1176#95C22×D8311yescharacteristic
1177#95C22×D8311yescharacteristic
1178#95C22×D8311yescharacteristic
1179#95C22×D8311yescharacteristic
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—41no—
1186C24—41no—
1187C24—831no—
1188C24C23×D8311yescharacteristic
1189C24C23×D8311yescharacteristic
1190C24C23×D8311yescharacteristic
1191C24C23×D8311yescharacteristic
1192C24C23×D8311yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
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—1662no—
1224C2×D4—1662no—
1225C2×D4—1662no—
1226C2×D4—1662no—
1227C2×D4—1662no—
1228C2×D4—1662no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—416no—
1248C22×C4—3321no—
1249C22×C4—3321no—
1250C22×C4—3321no—
1251C22×C4—3321no—
1252C22×C4—3321no—
1253C22×C4—3321no—
1254C22×C4—3321no—
1255C22×C4—3321no—
1256C22×C4—3321no—
1257C22×C4—3321no—
1258C22×C4—3321no—
1259C22×C4—3321no—
1260C22×C4—3321no—
1261C22×C4—3321no—
1262C22×C4—834no—
1263C22×C4—831no—
1264C22×C4—831no—
1265C22×C4—831no—
1266C22×C4—831no—
1267C22×C4—831no—
1268C22×C4—831no—
1269C22×C4—831no—
1270C22×C4—831no—
1271C22×C4—831no—
1272C22×C4—831no—
1273C22×C4—831no—
1274C22×C4—831no—
1275C22×C4—831no—
1276C22×C4—831no—
1277C22×C4—831no—
1278C22×C4—1662no—
1279C22×C4—1662no—
1280C22×C4—1662no—
1281C22×C4—1662no—
1282C22×C4—1662no—
1283C22×C4—1662no—
1284C22×C4C23×D8311yescharacteristic
1285C22×C4C23×D8311yescharacteristic
1286C22×C4C23×D8311yescharacteristic
1287C22×C4C23×D8311yescharacteristic
1288C22×C4C23×D8311yescharacteristic
1289C22×C4C23×D8311yescharacteristic
1290C22×C4C23×D8311yescharacteristic
1291C22×C4C23×D8311yescharacteristic
1292C22×C4C23×D8311yescharacteristic
1293C22×C4C23×D8311yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—3321no—
1298C4⋊C4—3321no—
1299C4⋊C4—3321no—
1300C4⋊C4—3321no—
1301C4⋊C4—3321no—
1302C4⋊C4—3321no—
1303C4⋊C4—3321no—
1304C4⋊C4—3321no—
1305C4⋊C4—3321no—
1306C4⋊C4—3321no—
1307C4⋊C4—3321no—
1308C4⋊C4—3321no—
1309C4⋊C4—3321no—
1310C4⋊C4—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—1662no—
1324C4⋊C4—1662no—
1325C4⋊C4—1662no—
1326C4⋊C4—1662no—
1327C4⋊C4—1662no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—3321no—
1341C22⋊C4—3321no—
1342C22⋊C4—3321no—
1343C22⋊C4—3321no—
1344C22⋊C4—3321no—
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—1662no—
1364C22⋊C4—1662no—
1365C22⋊C4—1662no—
1366C22⋊C4—1662no—
1367C22⋊C4—1662no—
1368C22⋊C4—1662no—
1369C22⋊C4—1662no—
1370C22⋊C4—1662no—
1371C22⋊C4—1662no—
1372C22⋊C4—1662no—
1373C22⋊C4—1662no—
1374C22⋊C4—1662no—
1375C22⋊C4—1662no—
1376C22⋊C4—1662no—
1377C22⋊C4—1662no—
1378C42—3321no—
1379C42—3321no—
1380C42—3321no—
1381C42—3321no—
1382C42—1662no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—28no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
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—21no—
1412C23—21no—
1413C23—21no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—1661no—
1421C23—1661no—
1422C23—1661no—
1423C23—1661no—
1424C23—1661no—
1425C23—1661no—
1426C23—1661no—
1427C23#41×D8312yes—
1428C23#1458183712yes—
1429C23#1458183712yes—
1430C23#1458183712yes—
1431C23#1458183912yes—
1432C23C24×D8311yescharacteristic
1433D4—44no—
1434D4—44no—
1435D4—82no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—82no—
1440D4—3324no—
1441D4—6642no—
1442D4—6642no—
1443D4—6642no—
1444D4—6642no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
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—44no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—3324no—
1481C2×C4—3324no—
1482C2×C4—832no—
1483C2×C4—832no—
1484C2×C4—6642no—
1485C2×C4—6642no—
1486C2×C4—6642no—
1487C2×C4—6642no—
1488C2×C4—6642no—
1489C2×C4—1661no—
1490C2×C4—1661no—
1491C2×C4—1661no—
1492C2×C4—1661no—
1493C2×C4—1661no—
1494C2×C4—1661no—
1495C2×C4—1661no—
1496C2×C4—1661no—
1497C2×C4—1661no—
1498C2×C4—1661no—
1499C2×C4—1661no—
1500C2×C4—1661no—
1501C2×C4—1661no—
1502C2×C4—1661no—
1503C2×C4—1661no—
1504C2×C4—1661no—
1505C2×C4—1661no—
1506C2×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#1458183712yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—416no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
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—41no—
1568C22—3321no—
1569C22—3321no—
1570C22—3321no—
1571C22—3321no—
1572C22—3321no—
1573C22—3321no—
1574C22—3321no—
1575C22#1912830114yes—
1576C22C2×#41×D8311yescharacteristic
1577C22C2×#1458183711yescharacteristic
1578C22C2×#1458183711yescharacteristic
1579C22C2×#1458183711yescharacteristic
1580C22C2×#1458183711yescharacteristic
1581C22C2×#1458183911yescharacteristic
1582C22#1912853711yescharacteristic
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—3321no—
1594C4—3321no—
1595C4—3321no—
1596C4—3321no—
1597C4—3321no—
1598C4—3321no—
1599C4—3321no—
1600C4—3321no—
1601C4—3321no—
1602C4—3321no—
1603C4—3321no—
1604C4—3321no—
1605C4—3321no—
1606C4—1662no—
1607C4—1662no—
1608C2—24no—
1609C2—42no—
1610C2—42no—
1611C2—81no—
1612C2—81no—
1613C2—6641no—
1614C2C2×#1912830111yescharacteristic
1615C2#2492116411yescharacteristic
1616C2#2492129111yescharacteristic
1617C2#2492161811yescharacteristic
1618C2#2492165311yescharacteristic
1619C2#2492166611yescharacteristic
1620C2#2492168511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2847C2
hypercenter#2847D83
hypocenterC83#36777
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. #24915755C2semidirect
2. #24915108C2semidirect
3. #24915107C2semidirect
4. #24914938C2semidirect
5. #24914850C2semidirect
6. #24914743C2semidirect
7. #24914689C2semidirect
8. #24914674C2semidirect
9. #24914600C2semidirect
10. #24914529C2semidirect
11. #24914214C2semidirect
12. #24914166C2semidirect
13. #24914154C2semidirect
14. #24914079C2semidirect
15. #24914072C2semidirect
16. #24913893C2semidirect
17. #24913695C2semidirect
18. #24913247C2semidirect
19. #24913211C2semidirect
20. #24912391C2semidirect
21. #24912350C2semidirect
22. #24911184C2semidirect
23. #24911020C2semidirect
24. #24910995C2semidirect
25. #24910946C2semidirect
26. #24910921C2semidirect
27. #24910900C2semidirect
28. #24910164C2semidirect
29. #24910089C2semidirect
30. C2×#19127574C2semidirect
31. C83×#2847C2semidirect
32. C2×#14581782C22semidirect
41. C2×#14581764C22semidirect
51. #19127643C22semidirect
52. #19127642C22semidirect
53. #19127642C22semidirect
54. #19127642C22semidirect
55. #19127639C22semidirect
59. #19127637C22semidirect
60. #19127637C22semidirect
61. #19127635C22semidirect
62. #19127635C22semidirect
63. #19127635C22semidirect
64. #19127635C22semidirect
65. #19127635C22semidirect
66. #19127634C22semidirect
67. #19127634C22semidirect
68. #19127631C22semidirect
69. #19127630C22semidirect
70. #19127629C22semidirect
71. #19127629C22semidirect
72. #19127629C22semidirect
73. #19127627C22semidirect
75. #19127625C22semidirect
76. #19127625C22semidirect
80. #19127624C22semidirect
81. #19127624C22semidirect
82. #19127624C22semidirect
83. #19127624C22semidirect
84. #19127623C22semidirect
86. #19127616C22semidirect
87. #19127616C22semidirect
88. #19127616C22semidirect
94. #19127615C22semidirect
95. #19127615C22semidirect
104. #19127601C22semidirect
105. #19127598C22semidirect
106. #19127596C22semidirect
107. #19127596C22semidirect
108. #19127596C22semidirect
111. #19127595C22semidirect
112. #19127595C22semidirect
113. #19127595C22semidirect
114. #19127590C22semidirect
118. #19127589C22semidirect
119. #19127588C22semidirect
120. #19127588C22semidirect
121. #19127587C22semidirect
122. #19127586C22semidirect
123. #19127584C22semidirect
124. #19127583C22semidirect
130. #19127581C22semidirect
135. #19127578C22semidirect
137. #19127577C22semidirect
139. #19127575C22semidirect
153. #19127573C22semidirect
154. #19127572C22semidirect
155. #19127568C22semidirect
156. #19127565C22semidirect
157. #19127565C22semidirect
160. #19127563C22semidirect
162. #19127562C22semidirect
165. #19127559C22semidirect
166. #19127559C22semidirect
167. #19127559C22semidirect
812. #2847D83semidirect
842. C83#36777semidirect

Maximal subgroups

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

subgroupindex
#249157552
#249151082
#249151072
#249149382
#249148502
#249147432
#249146892
#249146742
#249146002
#249145292
#249142142
#249141662
#249141542
#249140792
#249140722
#249138932
#249136952
#249132472
#249132112
#249123912
#249123502
#249111842
#249110202
#249109952
#249109462
#249109212
#249109002
#249101642
#249100892
C2×#191275742
C83×#28472
#3677783