Finite Group Databasebeta

← #35613266

Subgroups — #35613266

Order 21248.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915755C211yesmaximal, characteristic, complemented
2#24915750C211yesmaximal, characteristic, complemented
3#24915305C211yesmaximal, characteristic, complemented
4#24914850C211yesmaximal, characteristic, complemented
5#24914794C211yesmaximal, characteristic, complemented
6#24914716C211yesmaximal, characteristic, complemented
7#24914522C211yesmaximal, characteristic, complemented
8#24914461C211yesmaximal, characteristic, complemented
9#24914385C211yesmaximal, characteristic, complemented
10#24914269C211yesmaximal, characteristic, complemented
11#24914230C211yesmaximal, characteristic, complemented
12#24914205C211yesmaximal, characteristic, complemented
13#24914140C211yesmaximal, characteristic, complemented
14#24914079C211yesmaximal, characteristic, complemented
15#24914065C211yesmaximal, characteristic, complemented
16#24913939C211yesmaximal, characteristic, complemented
17#24913864C211yesmaximal, characteristic, complemented
18#24913718C211yesmaximal, characteristic, complemented
19#24913268C211yesmaximal, characteristic, complemented
20#24913236C211yesmaximal, characteristic, complemented
21#24912643C211yesmaximal, characteristic, complemented
22#24912474C211yesmaximal, characteristic, complemented
23#24911703C211yesmaximal, characteristic, complemented
24#24911703C211yesmaximal, characteristic, complemented
25#24911583C211yesmaximal, characteristic, complemented
26#24911583C211yesmaximal, characteristic, complemented
27#24911110C211yesmaximal, characteristic, complemented
28#24910813C211yesmaximal, characteristic
29#24910196C211yesmaximal, characteristic, complemented
30#24910097C211yesmaximal, characteristic, complemented
31C2×#386×C83C211yesmaximal, characteristic, complemented
32C2×#14581785C2211yescharacteristic, complemented
33C2×#14581785C2211yescharacteristic, complemented
34C2×#14581779C2211yescharacteristic
35C2×#14581779C2211yescharacteristic
36C2×#14581778C2211yescharacteristic, complemented
37C2×#14581778C2211yescharacteristic, complemented
38C2×#14581775C2211yescharacteristic, complemented
39C2×#14581775C2211yescharacteristic, complemented
40C2×#14581771C2211yescharacteristic
41C2×#14581771C2211yescharacteristic
42C2×#14581771C2211yescharacteristic
43C2×#14581771C2211yescharacteristic, complemented
44C2×#14581771C2211yescharacteristic, complemented
45C2×#14581763C2211yescharacteristic
46C2×#14581763C2211yescharacteristic
47C2×#14581761C2211yescharacteristic
48C2×#14581761C2211yescharacteristic
49C2×C4×C22⋊D83C2211yescharacteristic
50#19127641C2211yescharacteristic, complemented
51#19127638C2211yescharacteristic, complemented
52#19127637C2211yescharacteristic, complemented
53#19127637C2211yescharacteristic, complemented
54#19127635C2211yescharacteristic, complemented
55#19127635C2211yescharacteristic, complemented
56#19127629C2211yescharacteristic, complemented
57#19127629C2211yescharacteristic, complemented
58#19127629C2211yescharacteristic, complemented
59#19127629C2211yescharacteristic, complemented
60#19127629C2211yescharacteristic, complemented
61#19127629C2211yescharacteristic, complemented
62#19127629C2211yescharacteristic, complemented
63#19127629C2211yescharacteristic, complemented
64#19127629C2211yescharacteristic, complemented
65#19127629C2211yescharacteristic, complemented
66#19127626C2211yescharacteristic, complemented
67#19127626C2211yescharacteristic, complemented
68#19127624C2211yescharacteristic, complemented
69#19127624C2211yescharacteristic, complemented
70#19127624C2211yescharacteristic, complemented
71#19127624C2211yescharacteristic, complemented
72#19127624C2211yescharacteristic, complemented
73#19127624C2211yescharacteristic, complemented
74#19127622C2211yescharacteristic, complemented
75#19127622C2211yescharacteristic, complemented
76#19127622C2211yescharacteristic, complemented
77#19127617C2211yescharacteristic, complemented
78#19127617C2211yescharacteristic, complemented
79#19127616C2211yescharacteristic, complemented
80#19127616C2211yescharacteristic, complemented
81#19127616C2211yescharacteristic, complemented
82#19127616C2211yescharacteristic, complemented
83#19127616C2211yescharacteristic, complemented
84#19127616C2211yescharacteristic, complemented
85#19127615C2211yescharacteristic
86#19127615C2211yescharacteristic
87#19127615C2211yescharacteristic
88#19127615C2211yescharacteristic
89#19127615C2211yescharacteristic
90#19127615C2211yescharacteristic
91#19127614C2211yescharacteristic, complemented
92#19127613C2211yescharacteristic, complemented
93#19127613C2211yescharacteristic, complemented
94#19127613C2211yescharacteristic, complemented
95#19127613C2211yescharacteristic, complemented
96#19127609C2211yescharacteristic
97#19127609C2211yescharacteristic
98#19127605C2211yescharacteristic, complemented
99#19127605C2211yescharacteristic, complemented
100#19127605C2211yescharacteristic, complemented
101#19127605C2211yescharacteristic, complemented
102#19127604C2211yescharacteristic
103#19127604C2211yescharacteristic
104#19127604C2211yescharacteristic
105#19127604C2211yescharacteristic
106#19127601C2211yescharacteristic, complemented
107#19127601C2211yescharacteristic, complemented
108#19127598C2211yescharacteristic, complemented
109#19127598C2211yescharacteristic, complemented
110#19127598C2211yescharacteristic, complemented
111#19127598C2211yescharacteristic, complemented
112#19127595C2211yescharacteristic, complemented
113#19127595C2211yescharacteristic, complemented
114#19127594C2211yescharacteristic, complemented
115#19127594C2211yescharacteristic, complemented
116#19127594C2211yescharacteristic, complemented
117#19127594C2211yescharacteristic, complemented
118#19127590C2211yescharacteristic, complemented
119#19127590C2211yescharacteristic, complemented
120#19127589C2211yescharacteristic, complemented
121#19127589C2211yescharacteristic, complemented
122#19127589C2211yescharacteristic, complemented
123#19127589C2211yescharacteristic, complemented
124#19127588C2211yescharacteristic, complemented
125#19127588C2211yescharacteristic, complemented
126#19127586C2211yescharacteristic, complemented
127#19127586C2211yescharacteristic, complemented
128#19127584C2211yescharacteristic, complemented
129#19127584C2211yescharacteristic, complemented
130#19127583C2211yescharacteristic, complemented
131#19127583C2211yescharacteristic, complemented
132#19127580C2211yescharacteristic
133#19127580C2211yescharacteristic
134#19127580C2211yescharacteristic
135#19127580C2211yescharacteristic
136#19127580C2211yescharacteristic, complemented
137#19127580C2211yescharacteristic, complemented
138#19127575C2211yescharacteristic, complemented
139#19127575C2211yescharacteristic, complemented
140#19127574C2211yescharacteristic
141#19127574C2211yescharacteristic
142#19127574C2211yescharacteristic
143#19127574C2211yescharacteristic
144#19127574C2211yescharacteristic
145#19127574C2211yescharacteristic
146#19127574C2211yescharacteristic, complemented
147#19127574C2211yescharacteristic, complemented
148#19127574C2211yescharacteristic, complemented
149#19127574C2211yescharacteristic, complemented
150#19127574C2211yescharacteristic, complemented
151#19127574C2211yescharacteristic, complemented
152#19127568C2211yescharacteristic, complemented
153#19127565C2211yescharacteristic, complemented
154#19127564C2211yescharacteristic, complemented
155#19127564C2211yescharacteristic, complemented
156#19127563C2211yescharacteristic, complemented
157#19127561C2211yescharacteristic
158#19127561C2211yescharacteristic
159#19127561C2211yescharacteristic
160#19127561C2211yescharacteristic, complemented
161#19127561C2211yescharacteristic, complemented
162#19127560C2211yescharacteristic, complemented
163#19127557C2211yescharacteristic
164#19127557C2211yescharacteristic
165#19127557C2211yescharacteristic
166#19127557C2211yescharacteristic
167#19127557C2211yescharacteristic
168#19127557C2211yescharacteristic
169C4×C22⋊Dic83C2211yescharacteristic
170C4×C22⋊Dic83C2211yescharacteristic
171C4×C22⋊Dic83C2211yescharacteristic
172C23×D4×C83C2211yescharacteristic
173C24×C4×C83C2211yescharacteristic
174C22×C22⋊C4×C83C2211yescharacteristic
175C22×C22⋊C4×C83C2211yescharacteristic
176C22×C22⋊C4×C83C2211yescharacteristic
177#386×C83C2211yescharacteristic
178#386×C83C2211yescharacteristic
179#386×C83C2211yescharacteristic
180#386×C83C2211yescharacteristic
181#386×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic
183#386×C83C2211yescharacteristic
184#386×C83C2211yescharacteristic
185C2×#95×C83C2211yescharacteristic
186C2×#95×C83C2211yescharacteristic
187C22×Dic166C2311yescharacteristic
188C22×Dic166C2311yescharacteristic
189C22×Dic166C2311yescharacteristic
190C22×C22⋊D83C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C4×D83C2311yescharacteristic
196#14581785—42no—
197#14581785—42no—
198#14581779—42no—
199#14581779—42no—
200#14581778—42no—
201#14581778—42no—
202#14581775—42no—
203#14581775—42no—
204#14581771—24no—
205#14581771—42no—
206#14581771—42no—
207#14581771—42no—
208#14581771—42no—
209#14581763—42no—
210#14581763—42no—
211#14581761—42no—
212#14581761—42no—
213C4×C22⋊D83—24no—
214C2×C4⋊Dic83C2311yescharacteristic
215C2×C4⋊Dic83C2311yescharacteristic
216C2×C4⋊Dic83C2311yescharacteristic
217C2×C4⋊Dic83C2311yescharacteristic
218C2×C4⋊Dic83C2311yescharacteristic
219C2×C4⋊Dic83C2311yescharacteristic
220C2×C4⋊Dic83C2311yescharacteristic
221C2×C4⋊Dic83C2311yescharacteristic
222C2×C4⋊Dic83C2311yescharacteristic
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×C22⋊Dic83C2311yescharacteristic
243C2×C22⋊Dic83C2311yescharacteristic
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×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×(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×C4×Dic83C2311yescharacteristic
287C2×C4×Dic83C2311yescharacteristic
288C2×C4×Dic83C2311yescharacteristic
289C2×C4×Dic83C2311yescharacteristic
290C2×C4×Dic83C2311yescharacteristic
291C2×C4×Dic83C2311yescharacteristic
292C2×C4×Dic83C2311yescharacteristic
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
325C25×C83C2311yescharacteristic
326C25×C83C2311yescharacteristic
327C22×D4×C83—24no—
328C22×D4×C83—42no—
329C22×D4×C83—42no—
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
343C23×C4×C83C2311yescharacteristic
344C23×C4×C83C2311yescharacteristic
345C23×C4×C83C2311yescharacteristic
346C2×C22⋊C4×C83—42no—
347C2×C22⋊C4×C83—42no—
348C2×C22⋊C4×C83—42no—
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C22⋊C4×C83C2311yescharacteristic
358C2×C22⋊C4×C83C2311yescharacteristic
359C2×C22⋊C4×C83C2311yescharacteristic
360C2×C22⋊C4×C83C2311yescharacteristic
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
370C2×Dic166—22no—
371C2×Dic166—22no—
372C2×Dic166—41no—
373C2×Dic166—41no—
374C2×Dic166—41no—
375C2×Dic166—41no—
376C2×Dic166—41no—
377C2×Dic166—41no—
378C2×Dic166—41no—
379C2×C22⋊D83—22no—
380C2×C22⋊D83—22no—
381C2×C22⋊D83—22no—
382C2×C22⋊D83—22no—
383C2×C22⋊D83—22no—
384C2×C22⋊D83—41no—
385C2×C22⋊D83—41no—
386C2×C22⋊D83—41no—
387C2×C22⋊D83—41no—
388C2×C22⋊D83—41no—
389C2×C22⋊D83—41no—
390C2×C22⋊D83—41no—
391C2×C22⋊D83—41no—
392C2×C22⋊D83—41no—
393C2×C22⋊D83—41no—
394C22×Dic83C2411yescharacteristic
395C22×Dic83C2411yescharacteristic
396C22×Dic83C2411yescharacteristic
397C22×Dic83C2411yescharacteristic
398C22×Dic83C2411yescharacteristic
399C22×Dic83C2411yescharacteristic
400C22×Dic83C2411yescharacteristic
401C22×Dic83C2411yescharacteristic
402C22×Dic83C2411yescharacteristic
403C22×Dic83C2411yescharacteristic
404C22×Dic83C2411yescharacteristic
405C22×Dic83C2411yescharacteristic
406C22×Dic83C2411yescharacteristic
407C22×Dic83C2411yescharacteristic
408C22×Dic83C2411yescharacteristic
409C2×C4×D83—22no—
410C2×C4×D83—41no—
411C2×C4×D83—41no—
412C4⋊Dic83—22no—
413C4⋊Dic83—22no—
414C4⋊Dic83—41no—
415C4⋊Dic83—41no—
416C4⋊Dic83—41no—
417C4⋊Dic83—41no—
418C4⋊Dic83—41no—
419C4⋊Dic83—41no—
420C4⋊Dic83—41no—
421Dic83⋊C4—22no—
422Dic83⋊C4—22no—
423Dic83⋊C4—22no—
424Dic83⋊C4—22no—
425Dic83⋊C4—41no—
426Dic83⋊C4—41no—
427Dic83⋊C4—41no—
428Dic83⋊C4—41no—
429Dic83⋊C4—41no—
430Dic83⋊C4—41no—
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—
440C22⋊Dic83—22no—
441C22⋊Dic83—22no—
442C22⋊Dic83—22no—
443C22⋊Dic83—22no—
444C22⋊Dic83—22no—
445C22⋊Dic83—22no—
446C22⋊Dic83—22no—
447C22⋊Dic83—22no—
448C22⋊Dic83—22no—
449C22⋊Dic83—22no—
450C22⋊Dic83—22no—
451C22⋊Dic83—22no—
452C22⋊Dic83—22no—
453C22⋊Dic83—41no—
454C22⋊Dic83—41no—
455C22⋊Dic83—41no—
456C22⋊Dic83—41no—
457C22⋊Dic83—41no—
458C22⋊Dic83—41no—
459C22⋊Dic83—41no—
460C22⋊Dic83—41no—
461C22⋊Dic83—41no—
462C22⋊Dic83—41no—
463C22⋊Dic83—41no—
464C22⋊Dic83—41no—
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—
475(C2×D83)⋊C4—22no—
476(C2×D83)⋊C4—22no—
477(C2×D83)⋊C4—41no—
478(C2×D83)⋊C4—41no—
479(C2×D83)⋊C4—41no—
480(C2×D83)⋊C4—41no—
481(C2×D83)⋊C4—41no—
482(C2×D83)⋊C4—41no—
483(C2×D83)⋊C4—41no—
484C4×Dic83—22no—
485C4×Dic83—41no—
486C4×Dic83—41no—
487C4×Dic83—41no—
488C4×Dic83—41no—
489C4×Dic83—41no—
490C4×Dic83—41no—
491C24×C83—22no—
492C24×C83—22no—
493C24×C83—22no—
494C24×C83—22no—
495C24×C83—22no—
496C24×C83—22no—
497C24×C83—22no—
498C24×C83—22no—
499C24×C83—41no—
500C24×C83—41no—
501C24×C83—41no—
502C24×C83—41no—
503C24×C83—41no—
504C24×C83—41no—
505C24×C83C2411yescharacteristic
506C24×C83C2411yescharacteristic
507C24×C83C2411yescharacteristic
508C24×C83C2411yescharacteristic
509C24×C83C2411yescharacteristic
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—416no—
523C22×C4×C83—22no—
524C22×C4×C83—22no—
525C22×C4×C83—22no—
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—41no—
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—41no—
545C22×C4×C83—41no—
546C22×C4×C83—41no—
547C22×C4×C83—41no—
548C22×C4×C83—41no—
549C22×C4×C83—416no—
550C22×C4×C83#4114yes—
551C22×C4×C83C2411yescharacteristic
552C22×C4×C83C2411yescharacteristic
553C22×C4×C83C2411yescharacteristic
554C22×C4×C83C2411yescharacteristic
555C22×C4×C83C2411yescharacteristic
556C22×C4×C83C2411yescharacteristic
557C22×C4×C83C2411yescharacteristic
558C22×C4×C83C2411yescharacteristic
559C22×C4×C83C2411yescharacteristic
560C22×C4×C83C2411yescharacteristic
561C22⋊C4×C83—22no—
562C22⋊C4×C83—22no—
563C22⋊C4×C83—22no—
564C22⋊C4×C83—22no—
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—
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—21no—
598C23×C83—21no—
599C23×C83—21no—
600C23×C83—21no—
601C23×C83—21no—
602C23×C83—21no—
603C23×C83—21no—
604C23×C83—44no—
605C23×C83—44no—
606C23×C83—44no—
607C23×C83—44no—
608C23×C83—44no—
609C23×C83—44no—
610C23×C83—44no—
611C23×C83—44no—
612C23×C83—44no—
613C23×C83—82no—
614C23×C83—82no—
615C23×C83—82no—
616C23×C83—82no—
617C23×C83C2×#4112yes—
618C23×C83H(5,𝔽2)12yes—
619C23×C83H(5,𝔽2)12yes—
620C23×C83H(5,𝔽2)12yes—
621C23×C832−1+412yes—
622C23×C83C2511yescharacteristic
623C22×D83—21no—
624C22×D83—21no—
625C22×D83—21no—
626C22×D83—21no—
627C22×D83—21no—
628C22×D83—21no—
629C22×D83—21no—
630D4×C83—44no—
631D4×C83—44no—
632D4×C83—44no—
633D4×C83—44no—
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—21no—
659C2×C4×C83—21no—
660C2×C4×C83—21no—
661C2×C4×C83—44no—
662C2×C4×C83—44no—
663C2×C4×C83—44no—
664C2×C4×C83—44no—
665C2×C4×C83—44no—
666C2×C4×C83—44no—
667C2×C4×C83—44no—
668C2×C4×C83—82no—
669C2×C4×C83—82no—
670C2×C4×C83C2×#4112yes—
671C2×C4×C83C2×#4112yes—
672C2×C4×C83H(5,𝔽2)12yes—
673C22⋊D83—44no—
674C22⋊D83—82no—
675C22⋊D83—82no—
676C22⋊D83—82no—
677C22⋊D83—82no—
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—21no—
715C2×Dic83—21no—
716C2×Dic83—21no—
717C2×Dic83—21no—
718C2×Dic83—21no—
719C2×Dic83—21no—
720C2×Dic83—21no—
721C2×Dic83—21no—
722C2×Dic83—21no—
723C4×D83—82no—
724Dic166—82no—
725Dic166—82no—
726Dic166—82no—
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—22no—
738C22×C83—22no—
739C22×C83—416no—
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—41no—
758C22×C83—41no—
759C22×C83—41no—
760C22×C83—41no—
761C22×C83—41no—
762C22×C83—88no—
763C22×C83#54214yes—
764C22×C83C22×#4111yescharacteristic
765C22×C83C2×H(5,𝔽2)11yescharacteristic
766C22×C83C2×H(5,𝔽2)11yescharacteristic
767C22×C83C2×H(5,𝔽2)11yescharacteristic
768C22×C83C2×H(5,𝔽2)11yescharacteristic
769C22×C83C2×2−1+411yescharacteristic
770C22×C83#58511yescharacteristic
771C2×D83—41no—
772C2×D83—41no—
773C2×D83—41no—
774C2×D83—41no—
775C2×D83—41no—
776C2×D83—41no—
777C2×D83—41no—
778C4×C83—22no—
779C4×C83—22no—
780C4×C83—22no—
781C4×C83—41no—
782C4×C83—41no—
783C4×C83—41no—
784C4×C83—41no—
785C4×C83—41no—
786C4×C83—41no—
787C4×C83—41no—
788Dic83—41no—
789Dic83—41no—
790Dic83—41no—
791Dic83—41no—
792Dic83—41no—
793Dic83—41no—
794Dic83—41no—
795Dic83—41no—
796Dic83—41no—
797Dic83—41no—
798Dic83—41no—
799Dic83—41no—
800Dic83—41no—
801Dic83—41no—
802Dic83—41no—
803#36793—831nomaximal, Sylow
804C2×C83—24no—
805C2×C83—42no—
806C2×C83—42no—
807C2×C83—81no—
808C2×C83—81no—
809C2×C83C2×#54211yescharacteristic
810C2×C83#349011yescharacteristic
811C2×C83#350611yescharacteristic
812C2×C83#353211yescharacteristic
813C2×C83#353411yescharacteristic
814C2×C83#353511yescharacteristic
815C2×C83#353611yescharacteristic
816D83—81no—
817#2849—831no—
818#2848—831no—
819#2796—831no—
820#2761—831no—
821#2757—831no—
822#2751—831no—
823#2737—831no—
824#2730—831no—
825#2723—831no—
826#2715—831no—
827#2712—831no—
828#2710—831no—
829#2705—831no—
830#2701—831no—
831#2700—831no—
832#2691—831no—
833#2686—831no—
834#2672—831no—
835#2626—831no—
836#2622—831no—
837#2564—831no—
838#2549—831no—
839#2480—831no—
840#2480—831no—
841#2472—831no—
842#2472—831no—
843#2435—831no—
844#2408—831no—
845#2329—831no—
846#2318—831no—
847C2×#386D8311yescharacteristic, complemented
848C83#3679311yescharacteristic, complemented, Sylow
849C23×D4C2×D8311yescharacteristic
850C24×C4C2×D8311yescharacteristic
851C2×#126—831no—
852C2×#126—831no—
853C2×#124—831no—
854C2×#124—831no—
855C2×#124—831no—
856C2×#124—831no—
857C2×#123—831no—
858C2×#123—831no—
859C2×C22⋊Q8—831no—
860C2×C22⋊Q8—831no—
861C2×C22⋊Q8—831no—
862C2×C22⋊Q8—831no—
863C2×C22⋊Q8—831no—
864C2×#121—831no—
865C2×#121—831no—
866C2×#120—831no—
867C2×#120—831no—
868C2×C4×D4—831no—
869C22×C22⋊C4C2×D8311yescharacteristic
870C22×C22⋊C4C2×D8311yescharacteristic
871C22×C22⋊C4C2×D8311yescharacteristic
872#400—831no—
873#399—831no—
874#399—831no—
875#399—831no—
876#398—831no—
877#398—831no—
878#397—831no—
879#397—831no—
880#397—831no—
881#397—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#396—831no—
896#395—831no—
897#395—831no—
898#395—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#394—831no—
908#394—831no—
909#394—831no—
910#394—831no—
911#394—831no—
912#394—831no—
913#393—831no—
914#393—831no—
915#393—831no—
916#393—831no—
917#393—831no—
918#392—831no—
919#392—831no—
920#391—831no—
921#391—831no—
922#391—831no—
923#391—831no—
924#390—831no—
925#390—831no—
926#390—831no—
927#390—831no—
928#390—831no—
929#390—831no—
930#389—831no—
931#389—831no—
932#389—831no—
933#389—831no—
934#388—831no—
935#388—831no—
936#388—831no—
937#388—831no—
938#388—831no—
939#388—831no—
940#388—831no—
941#388—831no—
942#388—831no—
943#388—831no—
944#388—831no—
945#388—831no—
946#387—831no—
947#387—831no—
948#387—831no—
949#387—831no—
950#387—831no—
951#387—831no—
952#387—831no—
953#387—831no—
954#386—831no—
955#386—831no—
956#386—831no—
957#386—831no—
958#386—831no—
959#386—831no—
960#386C2×D8311yescharacteristic
961#386C2×D8311yescharacteristic
962#386C2×D8311yescharacteristic
963#386C2×D8311yescharacteristic
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#383—831no—
983#382—831no—
984#381—831no—
985#381—831no—
986#381—831no—
987#380—831no—
988#380—831no—
989#380—831no—
990#380—831no—
991#380—831no—
992#380—831no—
993#379—831no—
994#379—831no—
995#379—831no—
996#379—831no—
997#379—831no—
998#379—831no—
999C4×C22⋊C4—831no—
1000C4×C22⋊C4—831no—
1001C4×C22⋊C4—831no—
1002C2×#95C2×D8311yescharacteristic
1003C2×#95C2×D8311yescharacteristic
1004C25C22×D8311yescharacteristic
1005C25C22×D8311yescharacteristic
1006C22×Q8—831no—
1007C22×Q8—831no—
1008C22×Q8—831no—
1009C22×D4—24no—
1010C22×D4—42no—
1011C22×D4—42no—
1012C22×D4—831no—
1013C22×D4—831no—
1014C22×D4—831no—
1015C22×D4—831no—
1016C22×D4—831no—
1017C22×D4C22×D8311yescharacteristic
1018C22×D4C22×D8311yescharacteristic
1019C22×D4C22×D8311yescharacteristic
1020C22×D4C22×D8311yescharacteristic
1021C23×C4—42no—
1022C23×C4—42no—
1023C23×C4—42no—
1024C23×C4—831no—
1025C23×C4C22×D8311yescharacteristic
1026C23×C4C22×D8311yescharacteristic
1027C23×C4C22×D8311yescharacteristic
1028C23×C4C22×D8311yescharacteristic
1029C23×C4C22×D8311yescharacteristic
1030C23×C4C22×D8311yescharacteristic
1031C23×C4C22×D8311yescharacteristic
1032C23×C4C22×D8311yescharacteristic
1033C23×C4C22×D8311yescharacteristic
1034#126—3322no—
1035#126—3322no—
1036#124—3322no—
1037#124—3322no—
1038#124—3322no—
1039#124—3322no—
1040#123—3322no—
1041#123—3322no—
1042C22⋊Q8—3322no—
1043C22⋊Q8—3322no—
1044C22⋊Q8—3322no—
1045C22⋊Q8—3322no—
1046C22⋊Q8—1664no—
1047#121—3322no—
1048#121—3322no—
1049#120—3322no—
1050#120—3322no—
1051C4×D4—1664no—
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×C22⋊C4—42no—
1081C2×C22⋊C4—42no—
1082C2×C22⋊C4—42no—
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—831no—
1121C2×C22⋊C4—831no—
1122C2×C22⋊C4—831no—
1123C2×C22⋊C4—831no—
1124C2×C22⋊C4—831no—
1125C2×C22⋊C4—831no—
1126C2×C22⋊C4—831no—
1127C2×C22⋊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×C22⋊C4C22×D8311yescharacteristic
1136C2×C22⋊C4C22×D8311yescharacteristic
1137C2×C22⋊C4C22×D8311yescharacteristic
1138C2×C22⋊C4C22×D8311yescharacteristic
1139C2×C42—831no—
1140C2×C42—831no—
1141C2×C42—831no—
1142C2×C42—831no—
1143C2×C42—831no—
1144C2×C42—831no—
1145C2×C42—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#95—831no—
1176#95—831no—
1177#95—831no—
1178#95C22×D8311yescharacteristic
1179#95C22×D8311yescharacteristic
1180#95C22×D8311yescharacteristic
1181#95C22×D8311yescharacteristic
1182#95C22×D8311yescharacteristic
1183#95C22×D8311yescharacteristic
1184#95C22×D8311yescharacteristic
1185#95C22×D8311yescharacteristic
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—41no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—831no—
1201C24C23×D8311yescharacteristic
1202C24C23×D8311yescharacteristic
1203C24C23×D8311yescharacteristic
1204C24C23×D8311yescharacteristic
1205C24C23×D8311yescharacteristic
1206C2×Q8—3321no—
1207C2×Q8—3321no—
1208C2×Q8—3321no—
1209C2×Q8—3321no—
1210C2×Q8—3321no—
1211C2×Q8—3321no—
1212C2×Q8—3321no—
1213C2×Q8—1662no—
1214C2×Q8—1662no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—416no—
1228C2×D4—3321no—
1229C2×D4—3321no—
1230C2×D4—3321no—
1231C2×D4—3321no—
1232C2×D4—3321no—
1233C2×D4—3321no—
1234C2×D4—3321no—
1235C2×D4—3321no—
1236C2×D4—3321no—
1237C2×D4—3321no—
1238C2×D4—1662no—
1239C2×D4—1662no—
1240C2×D4—1662no—
1241C2×D4—1662no—
1242C2×D4—1662no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—416no—
1270C22×C4—3321no—
1271C22×C4—3321no—
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—831no—
1287C22×C4—1662no—
1288C22×C4#1305059014yes—
1289C22×C4C23×D8311yescharacteristic
1290C22×C4C23×D8311yescharacteristic
1291C22×C4C23×D8311yescharacteristic
1292C22×C4C23×D8311yescharacteristic
1293C22×C4C23×D8311yescharacteristic
1294C22×C4C23×D8311yescharacteristic
1295C22×C4C23×D8311yescharacteristic
1296C22×C4C23×D8311yescharacteristic
1297C22×C4C23×D8311yescharacteristic
1298C22×C4C23×D8311yescharacteristic
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—1662no—
1322C4⋊C4—1662no—
1323C4⋊C4—1662no—
1324C4⋊C4—1662no—
1325C4⋊C4—1662no—
1326C4⋊C4—1662no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
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—3321no—
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—3321no—
1364C22⋊C4—3321no—
1365C22⋊C4—3321no—
1366C22⋊C4—3321no—
1367C22⋊C4—3321no—
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—
1378C22⋊C4—1662no—
1379C22⋊C4—1662no—
1380C22⋊C4—1662no—
1381C22⋊C4—1662no—
1382C22⋊C4—1662no—
1383C42—3321no—
1384C42—3321no—
1385C42—3321no—
1386C42—3321no—
1387C42—3321no—
1388C42—3321no—
1389C42—1662no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—28no—
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—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—1661no—
1435C23—1661no—
1436C23—1661no—
1437C23—1661no—
1438C23—1661no—
1439C23—1661no—
1440C23—1661no—
1441C23C2×#1305059012yes—
1442C23#1458183712yes—
1443C23#1458183712yes—
1444C23#1458183712yes—
1445C23#1458183912yes—
1446C23C24×D8311yescharacteristic
1447Q8—6642no—
1448Q8—6642no—
1449Q8—6642no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—3324no—
1455D4—6642no—
1456D4—6642no—
1457D4—6642no—
1458D4—6642no—
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—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—82no—
1494C2×C4—82no—
1495C2×C4—6642no—
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—1661no—
1533C2×C4—1661no—
1534C2×C4—1661no—
1535C2×C4—1661no—
1536C2×C4—1661no—
1537C2×C4—1661no—
1538C2×C4—1661no—
1539C2×C4—1661no—
1540C2×C4—1661no—
1541C2×C4C2×#1305059012yes—
1542C2×C4C2×#1305059012yes—
1543C2×C4#1458183712yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—416no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—88no—
1580C22—3321no—
1581C22—3321no—
1582C22—3321no—
1583C22—3321no—
1584C22—3321no—
1585C22—3321no—
1586C22—3321no—
1587C22#1912831614yes—
1588C22C22×#1305059011yescharacteristic
1589C22C2×#1458183711yescharacteristic
1590C22C2×#1458183711yescharacteristic
1591C22C2×#1458183711yescharacteristic
1592C22C2×#1458183711yescharacteristic
1593C22C2×#1458183911yescharacteristic
1594C22#1912853711yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—22no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—3321no—
1606C4—3321no—
1607C4—3321no—
1608C4—3321no—
1609C4—3321no—
1610C4—3321no—
1611C4—3321no—
1612C4—3321no—
1613C4—3321no—
1614C4—3321no—
1615C4—3321no—
1616C4—3321no—
1617C4—3321no—
1618C4—3321no—
1619C4—3321no—
1620C2—24no—
1621C2—42no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—6641no—
1626C2C2×#1912831611yescharacteristic
1627C2#2492115211yescharacteristic
1628C2#2492131511yescharacteristic
1629C2#2492161811yescharacteristic
1630C2#2492165311yescharacteristic
1631C2#2492167611yescharacteristic
1632C2#2492168511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC2×#386×C83C2
prime radical#24910813C2
hypercenterC2×#386D83
hypocenterC83#36793
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. #24915755C2semidirect
2. #24915750C2semidirect
3. #24915305C2semidirect
4. #24914850C2semidirect
5. #24914794C2semidirect
6. #24914716C2semidirect
7. #24914522C2semidirect
8. #24914461C2semidirect
9. #24914385C2semidirect
10. #24914269C2semidirect
11. #24914230C2semidirect
12. #24914205C2semidirect
13. #24914140C2semidirect
14. #24914079C2semidirect
15. #24914065C2semidirect
16. #24913939C2semidirect
17. #24913864C2semidirect
18. #24913718C2semidirect
19. #24913268C2semidirect
20. #24913236C2semidirect
21. #24912643C2semidirect
22. #24912474C2semidirect
23. #24911703C2semidirect
24. #24911703C2semidirect
25. #24911583C2semidirect
26. #24911583C2semidirect
27. #24911110C2semidirect
29. #24910196C2semidirect
30. #24910097C2semidirect
31. C2×#386×C83C2semidirect
32. C2×#14581785C22semidirect
33. C2×#14581785C22semidirect
36. C2×#14581778C22semidirect
37. C2×#14581778C22semidirect
38. C2×#14581775C22semidirect
39. C2×#14581775C22semidirect
43. C2×#14581771C22semidirect
44. C2×#14581771C22semidirect
50. #19127641C22semidirect
51. #19127638C22semidirect
52. #19127637C22semidirect
53. #19127637C22semidirect
54. #19127635C22semidirect
55. #19127635C22semidirect
56. #19127629C22semidirect
57. #19127629C22semidirect
58. #19127629C22semidirect
59. #19127629C22semidirect
60. #19127629C22semidirect
61. #19127629C22semidirect
62. #19127629C22semidirect
63. #19127629C22semidirect
64. #19127629C22semidirect
65. #19127629C22semidirect
66. #19127626C22semidirect
67. #19127626C22semidirect
68. #19127624C22semidirect
69. #19127624C22semidirect
70. #19127624C22semidirect
71. #19127624C22semidirect
72. #19127624C22semidirect
73. #19127624C22semidirect
74. #19127622C22semidirect
75. #19127622C22semidirect
76. #19127622C22semidirect
77. #19127617C22semidirect
78. #19127617C22semidirect
79. #19127616C22semidirect
80. #19127616C22semidirect
81. #19127616C22semidirect
82. #19127616C22semidirect
83. #19127616C22semidirect
84. #19127616C22semidirect
91. #19127614C22semidirect
92. #19127613C22semidirect
93. #19127613C22semidirect
94. #19127613C22semidirect
95. #19127613C22semidirect
98. #19127605C22semidirect
99. #19127605C22semidirect
100. #19127605C22semidirect
101. #19127605C22semidirect
106. #19127601C22semidirect
107. #19127601C22semidirect
108. #19127598C22semidirect
109. #19127598C22semidirect
110. #19127598C22semidirect
111. #19127598C22semidirect
112. #19127595C22semidirect
113. #19127595C22semidirect
114. #19127594C22semidirect
115. #19127594C22semidirect
116. #19127594C22semidirect
117. #19127594C22semidirect
118. #19127590C22semidirect
119. #19127590C22semidirect
120. #19127589C22semidirect
121. #19127589C22semidirect
122. #19127589C22semidirect
123. #19127589C22semidirect
124. #19127588C22semidirect
125. #19127588C22semidirect
126. #19127586C22semidirect
127. #19127586C22semidirect
128. #19127584C22semidirect
129. #19127584C22semidirect
130. #19127583C22semidirect
131. #19127583C22semidirect
136. #19127580C22semidirect
137. #19127580C22semidirect
138. #19127575C22semidirect
139. #19127575C22semidirect
146. #19127574C22semidirect
147. #19127574C22semidirect
148. #19127574C22semidirect
149. #19127574C22semidirect
150. #19127574C22semidirect
151. #19127574C22semidirect
152. #19127568C22semidirect
153. #19127565C22semidirect
154. #19127564C22semidirect
155. #19127564C22semidirect
156. #19127563C22semidirect
160. #19127561C22semidirect
161. #19127561C22semidirect
162. #19127560C22semidirect
847. C2×#386D83semidirect
848. C83#36793semidirect

Maximal subgroups

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

subgroupindex
#249157552
#249157502
#249153052
#249148502
#249147942
#249147162
#249145222
#249144612
#249143852
#249142692
#249142302
#249142052
#249141402
#249140792
#249140652
#249139392
#249138642
#249137182
#249132682
#249132362
#249126432
#249124742
#249117032
#249115832
#249111102
#249108132
#249101962
#249100972
C2×#386×C832
#3679383