Finite Group Databasebeta

← #35577206

Subgroups — #35577206

Order 21248.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915791C211yesmaximal, characteristic, complemented
2#24915784C211yesmaximal, characteristic, complemented
3#24915776C211yesmaximal, characteristic, complemented
4#24915760C211yesmaximal, characteristic, complemented
5#24913528C211yesmaximal, characteristic, complemented
6#24913466C211yesmaximal, characteristic, complemented
7#24913453C211yesmaximal, characteristic, complemented
8#24913451C211yesmaximal, characteristic, complemented
9#24912123C211yesmaximal, characteristic, complemented
10#24912123C211yesmaximal, characteristic, complemented
11#24912025C211yesmaximal, characteristic, complemented
12#24912023C211yesmaximal, characteristic, complemented
13#24911964C211yesmaximal, characteristic, complemented
14#24911791C211yesmaximal, characteristic, complemented
15#24911703C211yesmaximal, characteristic, complemented
16#24911583C211yesmaximal, characteristic, complemented
17#24911516C211yesmaximal, characteristic, complemented
18#24911402C211yesmaximal, characteristic, complemented
19#24911215C211yesmaximal, characteristic, complemented
20#24911124C211yesmaximal, characteristic, complemented
21#24911016C211yesmaximal, characteristic, complemented
22#24910853C211yesmaximal, characteristic, complemented
23#24910837C211yesmaximal, characteristic
24#24910786C211yesmaximal, characteristic, complemented
25#24910196C211yesmaximal, characteristic, complemented
26#24910121C211yesmaximal, characteristic, complemented
27#24910097C211yesmaximal, characteristic, complemented
28#24910061C211yesmaximal, characteristic, complemented
29C4×#14581761C211yesmaximal, characteristic, complemented
30C2×C4×C22⋊Dic83C211yesmaximal, characteristic, complemented
31C2×#386×C83C211yesmaximal, characteristic, complemented
32C2×#14581785C2211yescharacteristic, complemented
33C2×#14581778C2211yescharacteristic, complemented
34C2×#14581776C2211yescharacteristic, complemented
35C2×#14581773C2211yescharacteristic
36C2×#14581773C2211yescharacteristic
37C2×#14581771C2211yescharacteristic
38C2×#14581769C2211yescharacteristic, complemented
39C2×#14581764C2211yescharacteristic
40C2×#14581764C2211yescharacteristic
41C2×#14581761C2211yescharacteristic
42C2×#14581761C2211yescharacteristic
43C2×C4×C22⋊D83C2211yescharacteristic
44C2×C4×C22⋊D83C2211yescharacteristic, complemented
45C2×C4×C22⋊D83C2211yescharacteristic, complemented
46C22×C22⋊Dic83C2211yescharacteristic
47C22×C22⋊Dic83C2211yescharacteristic
48C22×C4×Dic83C2211yescharacteristic, complemented
49C22×C4×Dic83C2211yescharacteristic, complemented
50C83⋊#401C2211yescharacteristic, complemented
51#19127643C2211yescharacteristic, complemented
52#19127642C2211yescharacteristic, complemented
53#19127642C2211yescharacteristic, complemented
54#19127641C2211yescharacteristic, complemented
55#19127637C2211yescharacteristic, complemented
56#19127635C2211yescharacteristic, complemented
57#19127630C2211yescharacteristic, complemented
58#19127629C2211yescharacteristic, complemented
59#19127629C2211yescharacteristic, complemented
60#19127629C2211yescharacteristic, complemented
61#19127628C2211yescharacteristic, complemented
62#19127626C2211yescharacteristic, complemented
63#19127626C2211yescharacteristic, complemented
64#19127626C2211yescharacteristic, complemented
65#19127624C2211yescharacteristic, complemented
66#19127624C2211yescharacteristic, complemented
67#19127624C2211yescharacteristic, complemented
68#19127617C2211yescharacteristic, complemented
69#19127617C2211yescharacteristic, complemented
70#19127617C2211yescharacteristic, complemented
71#19127616C2211yescharacteristic, complemented
72#19127615C2211yescharacteristic
73#19127615C2211yescharacteristic
74#19127615C2211yescharacteristic
75#19127615C2211yescharacteristic
76#19127615C2211yescharacteristic
77#19127615C2211yescharacteristic
78#19127613C2211yescharacteristic, complemented
79#19127613C2211yescharacteristic, complemented
80#19127609C2211yescharacteristic
81#19127609C2211yescharacteristic
82#19127605C2211yescharacteristic, complemented
83#19127605C2211yescharacteristic, complemented
84#19127601C2211yescharacteristic, complemented
85#19127601C2211yescharacteristic, complemented
86#19127601C2211yescharacteristic, complemented
87#19127598C2211yescharacteristic, complemented
88#19127598C2211yescharacteristic, complemented
89#19127598C2211yescharacteristic, complemented
90#19127595C2211yescharacteristic, complemented
91#19127595C2211yescharacteristic, complemented
92#19127595C2211yescharacteristic, complemented
93#19127594C2211yescharacteristic, complemented
94#19127594C2211yescharacteristic, complemented
95#19127594C2211yescharacteristic, complemented
96#19127594C2211yescharacteristic, complemented
97#19127594C2211yescharacteristic, complemented
98#19127594C2211yescharacteristic, complemented
99#19127594C2211yescharacteristic, complemented
100#19127594C2211yescharacteristic, complemented
101#19127594C2211yescharacteristic, complemented
102#19127594C2211yescharacteristic, complemented
103#19127593C2211yescharacteristic, complemented
104#19127590C2211yescharacteristic, complemented
105#19127590C2211yescharacteristic, complemented
106#19127590C2211yescharacteristic, complemented
107#19127589C2211yescharacteristic, complemented
108#19127589C2211yescharacteristic, complemented
109#19127589C2211yescharacteristic, complemented
110#19127589C2211yescharacteristic, complemented
111#19127588C2211yescharacteristic, complemented
112#19127588C2211yescharacteristic, complemented
113#19127586C2211yescharacteristic, complemented
114#19127584C2211yescharacteristic, complemented
115#19127584C2211yescharacteristic, complemented
116#19127584C2211yescharacteristic, complemented
117#19127583C2211yescharacteristic, complemented
118#19127583C2211yescharacteristic, complemented
119#19127583C2211yescharacteristic, complemented
120#19127581C2211yescharacteristic
121#19127581C2211yescharacteristic
122#19127581C2211yescharacteristic
123#19127581C2211yescharacteristic
124#19127580C2211yescharacteristic
125#19127580C2211yescharacteristic
126#19127580C2211yescharacteristic
127#19127580C2211yescharacteristic
128#19127580C2211yescharacteristic, complemented
129#19127580C2211yescharacteristic, complemented
130#19127578C2211yescharacteristic, complemented
131#19127577C2211yescharacteristic, complemented
132#19127577C2211yescharacteristic, complemented
133#19127576C2211yescharacteristic, complemented
134#19127576C2211yescharacteristic, complemented
135#19127574C2211yescharacteristic
136#19127574C2211yescharacteristic
137#19127574C2211yescharacteristic
138#19127574C2211yescharacteristic
139#19127574C2211yescharacteristic
140#19127574C2211yescharacteristic
141#19127574C2211yescharacteristic, complemented
142#19127574C2211yescharacteristic, complemented
143#19127573C2211yescharacteristic, complemented
144#19127568C2211yescharacteristic, complemented
145#19127568C2211yescharacteristic, complemented
146#19127565C2211yescharacteristic, complemented
147#19127565C2211yescharacteristic, complemented
148#19127563C2211yescharacteristic, complemented
149#19127562C2211yescharacteristic, complemented
150#19127561C2211yescharacteristic
151#19127561C2211yescharacteristic
152#19127561C2211yescharacteristic
153#19127560C2211yescharacteristic, complemented
154#19127559C2211yescharacteristic, complemented
155#19127557C2211yescharacteristic
156#19127557C2211yescharacteristic
157#19127557C2211yescharacteristic
158#19127557C2211yescharacteristic
159C4×C22⋊Dic83C2211yescharacteristic
160C4×C22⋊Dic83C2211yescharacteristic
161C4×C22⋊Dic83C2211yescharacteristic
162C4×C22⋊Dic83C2211yescharacteristic
163C4×C22⋊Dic83C2211yescharacteristic
164C4×C22⋊Dic83C2211yescharacteristic, complemented
165C4×C22⋊Dic83C2211yescharacteristic, complemented
166C4×C22⋊Dic83C2211yescharacteristic, complemented
167C4×C22⋊Dic83C2211yescharacteristic, complemented
168C4×C22⋊Dic83C2211yescharacteristic, complemented
169C4×C22⋊Dic83C2211yescharacteristic, complemented
170C2×C83⋊#95C2211yescharacteristic, complemented
171C2×C83⋊#95C2211yescharacteristic, complemented
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×C22⋊D83C2311yescharacteristic
189C22×C22⋊D83C2311yescharacteristic
190C22×C22⋊D83C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C23×Dic83C2311yescharacteristic
194C23×Dic83C2311yescharacteristic
195C23×Dic83C2311yescharacteristic
196C23×Dic83C2311yescharacteristic
197C22×C4×D83C2311yescharacteristic
198#14581785—42no—
199#14581778—42no—
200#14581776—42no—
201#14581773—42no—
202#14581773—42no—
203#14581771—24no—
204#14581769—42no—
205#14581764—42no—
206#14581764—42no—
207#14581761—24no—
208#14581761—24no—
209C4×C22⋊D83—24no—
210C4×C22⋊D83—42no—
211C4×C22⋊D83—42no—
212C2×C4⋊Dic83C2311yescharacteristic
213C2×C4⋊Dic83C2311yescharacteristic
214C2×C4⋊Dic83C2311yescharacteristic
215C2×C4⋊Dic83C2311yescharacteristic
216C2×C4⋊Dic83C2311yescharacteristic
217C2×C4⋊Dic83C2311yescharacteristic
218C2×C4⋊Dic83C2311yescharacteristic
219C2×Dic83⋊C4C2311yescharacteristic
220C2×Dic83⋊C4C2311yescharacteristic
221C2×Dic83⋊C4C2311yescharacteristic
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×C22⋊Dic83—24no—
235C2×C22⋊Dic83—24no—
236C2×C22⋊Dic83C2311yescharacteristic
237C2×C22⋊Dic83C2311yescharacteristic
238C2×C22⋊Dic83C2311yescharacteristic
239C2×C22⋊Dic83C2311yescharacteristic
240C2×C22⋊Dic83C2311yescharacteristic
241C2×C22⋊Dic83C2311yescharacteristic
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×(C2×D83)⋊C4C2311yescharacteristic
268C2×(C2×D83)⋊C4C2311yescharacteristic
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×C4×Dic83—42no—
277C2×C4×Dic83—42no—
278C2×C4×Dic83C2311yescharacteristic
279C2×C4×Dic83C2311yescharacteristic
280C2×C4×Dic83C2311yescharacteristic
281C2×C4×Dic83C2311yescharacteristic
282C2×C4×Dic83C2311yescharacteristic
283C2×C4×Dic83C2311yescharacteristic
284C2×C4×Dic83C2311yescharacteristic
285C2×C4×Dic83C2311yescharacteristic
286C2×C4×Dic83C2311yescharacteristic
287C2×C4×Dic83C2311yescharacteristic
288C2×C4×Dic83C2311yescharacteristic
289C83⋊#95C2311yescharacteristic
290C83⋊#95C2311yescharacteristic
291C83⋊#95C2311yescharacteristic
292C83⋊#95C2311yescharacteristic
293C83⋊#95C2311yescharacteristic
294C83⋊#95C2311yescharacteristic
295C83⋊#95C2311yescharacteristic
296C83⋊#95C2311yescharacteristic
297C83⋊#95C2311yescharacteristic
298C83⋊#95C2311yescharacteristic
299C83⋊#95C2311yescharacteristic
300C83⋊#95C2311yescharacteristic
301C83⋊#95C2311yescharacteristic
302C83⋊#95C2311yescharacteristic
303C83⋊#95C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
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—24no—
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—24no—
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—41no—
372C2×Dic166—41no—
373C2×C22⋊D83—22no—
374C2×C22⋊D83—22no—
375C2×C22⋊D83—22no—
376C2×C22⋊D83—22no—
377C2×C22⋊D83—22no—
378C2×C22⋊D83—22no—
379C2×C22⋊D83—22no—
380C2×C22⋊D83—22no—
381C2×C22⋊D83—22no—
382C2×C22⋊D83—41no—
383C2×C22⋊D83—41no—
384C2×C22⋊D83—41no—
385C2×C22⋊D83—41no—
386C2×C22⋊D83—41no—
387C2×C22⋊D83—41no—
388C22×Dic83—22no—
389C22×Dic83—22no—
390C22×Dic83—22no—
391C22×Dic83—22no—
392C22×Dic83—22no—
393C22×Dic83—22no—
394C22×Dic83—22no—
395C22×Dic83—22no—
396C22×Dic83—41no—
397C22×Dic83—41no—
398C22×Dic83—41no—
399C22×Dic83—41no—
400C22×Dic83C2411yescharacteristic
401C22×Dic83C2411yescharacteristic
402C22×Dic83C2411yescharacteristic
403C22×Dic83C2411yescharacteristic
404C22×Dic83C2411yescharacteristic
405C22×Dic83C2411yescharacteristic
406C22×Dic83C2411yescharacteristic
407C22×Dic83C2411yescharacteristic
408C22×Dic83C2411yescharacteristic
409C22×Dic83C2411yescharacteristic
410C22×Dic83C2411yescharacteristic
411C22×Dic83C2411yescharacteristic
412C22×Dic83C2411yescharacteristic
413C22×Dic83C2411yescharacteristic
414C22×Dic83C2411yescharacteristic
415C2×C4×D83—22no—
416C2×C4×D83—41no—
417C2×C4×D83—41no—
418C4⋊Dic83—22no—
419C4⋊Dic83—41no—
420C4⋊Dic83—41no—
421C4⋊Dic83—41no—
422C4⋊Dic83—41no—
423C4⋊Dic83—41no—
424C4⋊Dic83—41no—
425Dic83⋊C4—22no—
426Dic83⋊C4—22no—
427Dic83⋊C4—22no—
428Dic83⋊C4—22no—
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—22no—
454C22⋊Dic83—22no—
455C22⋊Dic83—22no—
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#4114yes—
471(C2×D83)⋊C4—22no—
472(C2×D83)⋊C4—22no—
473(C2×D83)⋊C4—41no—
474(C2×D83)⋊C4—41no—
475(C2×D83)⋊C4—41no—
476(C2×D83)⋊C4—41no—
477(C2×D83)⋊C4—41no—
478(C2×D83)⋊C4—41no—
479(C2×D83)⋊C4—41no—
480C4×Dic83—22no—
481C4×Dic83—22no—
482C4×Dic83—22no—
483C4×Dic83—41no—
484C4×Dic83—41no—
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—41no—
499C24×C83—41no—
500C24×C83—41no—
501C24×C83—41no—
502C24×C83—41no—
503C24×C83—41no—
504C24×C83#4114yes—
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—22no—
533C22×C4×C83—22no—
534C22×C4×C83—22no—
535C22×C4×C83—22no—
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—22no—
566C22⋊C4×C83—22no—
567C22⋊C4×C83—22no—
568C22⋊C4×C83—22no—
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—21no—
578C23×C83—21no—
579C23×C83—21no—
580C23×C83—21no—
581C23×C83—28no—
582C23×C83—28no—
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×C83—44no—
610C23×C83—44no—
611C23×C83—82no—
612C23×C83—82no—
613C23×C83—82no—
614C23×C83—82no—
615C23×C83C2×#4112yes—
616C23×C83C2×#4112yes—
617C23×C83C2×#4112yes—
618C23×C83C2×#4112yes—
619C23×C83C2×#4112yes—
620C23×C83H(5,𝔽2)12yes—
621C23×C83H(5,𝔽2)12yes—
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—28no—
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—21no—
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—44no—
675C22⋊D83—44no—
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—44no—
722C2×Dic83—44no—
723C2×Dic83—44no—
724C2×Dic83—44no—
725C2×Dic83C2×#4112yes—
726C2×Dic83C2×#4112yes—
727C4×D83—82no—
728Dic166—82no—
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—22no—
740C22×C83—22no—
741C22×C83—22no—
742C22×C83—22no—
743C22×C83—22no—
744C22×C83—416no—
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—41no—
763C22×C83—88no—
764C22×C83#52914yes—
765C22×C83#53814yes—
766C22×C83C22×#4111yescharacteristic
767C22×C83C22×#4111yescharacteristic
768C22×C83C22×#4111yescharacteristic
769C22×C83C2×H(5,𝔽2)11yescharacteristic
770C22×C83C2×H(5,𝔽2)11yescharacteristic
771C22×C83C2×H(5,𝔽2)11yescharacteristic
772C22×C83#58511yescharacteristic
773C2×D83—41no—
774C2×D83—41no—
775C2×D83—41no—
776C2×D83—41no—
777C2×D83—41no—
778C2×D83—41no—
779C2×D83—41no—
780C4×C83—22no—
781C4×C83—22no—
782C4×C83—22no—
783C4×C83—41no—
784C4×C83—41no—
785C4×C83—41no—
786C4×C83—41no—
787C4×C83—41no—
788C4×C83—41no—
789C4×C83—41no—
790Dic83—22no—
791Dic83—22no—
792Dic83—41no—
793Dic83—41no—
794Dic83—41no—
795Dic83—41no—
796Dic83—41no—
797Dic83—41no—
798Dic83—41no—
799Dic83—41no—
800Dic83—41no—
801Dic83—41no—
802Dic83—41no—
803Dic83—41no—
804Dic83—41no—
805#34998—831nomaximal, Sylow
806C2×C83—24no—
807C2×C83—24no—
808C2×C83—42no—
809C2×C83—81no—
810C2×C83—81no—
811C2×C83C2×#52911yescharacteristic
812C2×C83C2×#53811yescharacteristic
813C2×C83#345911yescharacteristic
814C2×C83#349011yescharacteristic
815C2×C83#349411yescharacteristic
816C2×C83#351311yescharacteristic
817C2×C83#351911yescharacteristic
818D83—81no—
819#2854—831no—
820#2853—831no—
821#2852—831no—
822#2850—831no—
823#2653—831no—
824#2649—831no—
825#2648—831no—
826#2648—831no—
827#2518—831no—
828#2518—831no—
829#2510—831no—
830#2510—831no—
831#2505—831no—
832#2488—831no—
833#2480—831no—
834#2472—831no—
835#2467—831no—
836#2459—831no—
837#2444—831no—
838#2437—831no—
839#2425—831no—
840#2412—831no—
841#2410—831no—
842#2405—831no—
843#2329—831no—
844#2321—831no—
845#2318—831no—
846#2312—831no—
847C4×#120—831no—
848C2×#386D8311yescharacteristic, complemented
849C2×C4×C22⋊C4—831no—
850C83#3499811yescharacteristic, complemented, Sylow
851C23×D4C2×D8311yescharacteristic
852C24×C4C2×D8311yescharacteristic
853C2×#126—831no—
854C2×#124—831no—
855C2×#123—831no—
856C2×#123—831no—
857C2×#123—831no—
858C2×C22⋊Q8—831no—
859C2×C22⋊Q8—831no—
860C2×#121—831no—
861C2×#121—831no—
862C2×#120—831no—
863C2×#120—831no—
864C2×C4×D4—831no—
865C2×C4×D4—831no—
866C2×C4×D4—831no—
867C22×C22⋊C4—831no—
868C22×C22⋊C4—831no—
869C22×C22⋊C4C2×D8311yescharacteristic
870C22×C22⋊C4C2×D8311yescharacteristic
871C22×C22⋊C4C2×D8311yescharacteristic
872C22×C42—831no—
873C22×C42—831no—
874#401—831no—
875#400—831no—
876#400—831no—
877#400—831no—
878#400—831no—
879#399—831no—
880#398—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#396—831no—
890#396—831no—
891#396—831no—
892#394—831no—
893#394—831no—
894#394—831no—
895#394—831no—
896#394—831no—
897#394—831no—
898#394—831no—
899#394—831no—
900#394—831no—
901#394—831no—
902#393—831no—
903#393—831no—
904#392—831no—
905#392—831no—
906#391—831no—
907#391—831no—
908#390—831no—
909#390—831no—
910#390—831no—
911#389—831no—
912#389—831no—
913#389—831no—
914#388—831no—
915#388—831no—
916#388—831no—
917#388—831no—
918#388—831no—
919#388—831no—
920#388—831no—
921#388—831no—
922#388—831no—
923#388—831no—
924#388—831no—
925#388—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#387—831no—
936#387—831no—
937#387—831no—
938#387—831no—
939#387—831no—
940#387—831no—
941#387—831no—
942#387—831no—
943#387—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#386—831no—
956#386—831no—
957#386C2×D8311yescharacteristic
958#386C2×D8311yescharacteristic
959#386C2×D8311yescharacteristic
960#386C2×D8311yescharacteristic
961#386C2×D8311yescharacteristic
962#386C2×D8311yescharacteristic
963#386C2×D8311yescharacteristic
964#386C2×D8311yescharacteristic
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#383—831no—
977#383—831no—
978#382—831no—
979#382—831no—
980#381—831no—
981#381—831no—
982#380—831no—
983#380—831no—
984#380—831no—
985#380—831no—
986#380—831no—
987#379—831no—
988#379—831no—
989#379—831no—
990#379—831no—
991C4×C22⋊C4—831no—
992C4×C22⋊C4—831no—
993C4×C22⋊C4—831no—
994C4×C22⋊C4—831no—
995C4×C22⋊C4—831no—
996C4×C22⋊C4—831no—
997C4×C22⋊C4—831no—
998C4×C22⋊C4—831no—
999C4×C22⋊C4—831no—
1000C4×C22⋊C4—831no—
1001C4×C22⋊C4—831no—
1002C2×#95—831no—
1003C2×#95—831no—
1004C2×#95C2×D8311yescharacteristic
1005C2×#95C2×D8311yescharacteristic
1006C25C22×D8311yescharacteristic
1007C25C22×D8311yescharacteristic
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—24no—
1022C23×C4—42no—
1023C23×C4—42no—
1024C23×C4—831no—
1025C23×C4—831no—
1026C23×C4—831no—
1027C23×C4—831no—
1028C23×C4—831no—
1029C23×C4C22×D8311yescharacteristic
1030C23×C4C22×D8311yescharacteristic
1031C23×C4C22×D8311yescharacteristic
1032C23×C4C22×D8311yescharacteristic
1033C23×C4C22×D8311yescharacteristic
1034C23×C4C22×D8311yescharacteristic
1035C23×C4C22×D8311yescharacteristic
1036C23×C4C22×D8311yescharacteristic
1037C23×C4C22×D8311yescharacteristic
1038#126—3322no—
1039#124—3322no—
1040#123—3322no—
1041#123—3322no—
1042#123—3322no—
1043C22⋊Q8—3322no—
1044C22⋊Q8—1664no—
1045#121—3322no—
1046#121—3322no—
1047#120—1664no—
1048#120—1664no—
1049C4×D4—3322no—
1050C4×D4—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×C22⋊C4—24no—
1075C2×C22⋊C4—42no—
1076C2×C22⋊C4—42no—
1077C2×C22⋊C4—831no—
1078C2×C22⋊C4—831no—
1079C2×C22⋊C4—831no—
1080C2×C22⋊C4—831no—
1081C2×C22⋊C4—831no—
1082C2×C22⋊C4—831no—
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—1664no—
1118C2×C22⋊C4—1664no—
1119C2×C22⋊C4C22×D8311yescharacteristic
1120C2×C22⋊C4C22×D8311yescharacteristic
1121C2×C22⋊C4C22×D8311yescharacteristic
1122C2×C22⋊C4C22×D8311yescharacteristic
1123C2×C22⋊C4C22×D8311yescharacteristic
1124C2×C22⋊C4C22×D8311yescharacteristic
1125C2×C22⋊C4C22×D8311yescharacteristic
1126C2×C22⋊C4C22×D8311yescharacteristic
1127C2×C22⋊C4C22×D8311yescharacteristic
1128C2×C22⋊C4C22×D8311yescharacteristic
1129C2×C22⋊C4C22×D8311yescharacteristic
1130C2×C22⋊C4C22×D8311yescharacteristic
1131C2×C42—3322no—
1132C2×C42—3322no—
1133C2×C42—831no—
1134C2×C42—831no—
1135C2×C42—831no—
1136C2×C42—831no—
1137C2×C42—831no—
1138C2×C42—831no—
1139C2×C42—831no—
1140C2×C42—831no—
1141C2×C42—831no—
1142C2×C42—831no—
1143C2×C42—831no—
1144#95—831no—
1145#95—831no—
1146#95—831no—
1147#95—831no—
1148#95—831no—
1149#95—831no—
1150#95—831no—
1151#95—831no—
1152#95—831no—
1153#95—831no—
1154#95—831no—
1155#95—831no—
1156#95—831no—
1157#95—831no—
1158#95—831no—
1159#95—831no—
1160#95—831no—
1161#95—831no—
1162#95—831no—
1163#95—831no—
1164#95—831no—
1165#95—831no—
1166#95—831no—
1167#95—831no—
1168#95—831no—
1169#95—831no—
1170#95—831no—
1171#95—831no—
1172#95—831no—
1173#95—831no—
1174#95—831no—
1175#95—831no—
1176#95—831no—
1177#95—831no—
1178#95—831no—
1179#95—831no—
1180#95C22×D8311yescharacteristic
1181#95C22×D8311yescharacteristic
1182#95C22×D8311yescharacteristic
1183#95C22×D8311yescharacteristic
1184#95C22×D8311yescharacteristic
1185#95C22×D8311yescharacteristic
1186#95C22×D8311yescharacteristic
1187#95C22×D8311yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—22no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24—831no—
1202C24#1305059014yes—
1203C24C23×D8311yescharacteristic
1204C24C23×D8311yescharacteristic
1205C24C23×D8311yescharacteristic
1206C24C23×D8311yescharacteristic
1207C24C23×D8311yescharacteristic
1208C2×Q8—3321no—
1209C2×Q8—3321no—
1210C2×Q8—1662no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—416no—
1224C2×D4—3321no—
1225C2×D4—3321no—
1226C2×D4—3321no—
1227C2×D4—3321no—
1228C2×D4—3321no—
1229C2×D4—3321no—
1230C2×D4—1662no—
1231C2×D4—1662no—
1232C2×D4—1662no—
1233C2×D4—1662no—
1234C2×D4—1662no—
1235C2×D4—1662no—
1236C2×D4—1662no—
1237C2×D4—1662no—
1238C2×D4—1662no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—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—416no—
1266C22×C4—3321no—
1267C22×C4—3321no—
1268C22×C4—3321no—
1269C22×C4—3321no—
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—1662no—
1289C22×C4—1662no—
1290C22×C4—1662no—
1291C22×C4—1662no—
1292C22×C4—1662no—
1293C22×C4—1662no—
1294C22×C4—1662no—
1295C22×C4—1662no—
1296C22×C4#1305058914yes—
1297C22×C4C23×D8311yescharacteristic
1298C22×C4C23×D8311yescharacteristic
1299C22×C4C23×D8311yescharacteristic
1300C22×C4C23×D8311yescharacteristic
1301C22×C4C23×D8311yescharacteristic
1302C22×C4C23×D8311yescharacteristic
1303C22×C4C23×D8311yescharacteristic
1304C22×C4C23×D8311yescharacteristic
1305C22×C4C23×D8311yescharacteristic
1306C22×C4C23×D8311yescharacteristic
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—3321no—
1324C4⋊C4—1662no—
1325C4⋊C4—1662no—
1326C4⋊C4—1662no—
1327C4⋊C4—1662no—
1328C4⋊C4—1662no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
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—834no—
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—
1378C22⋊C4—1662no—
1379C22⋊C4—1662no—
1380C22⋊C4—1662no—
1381C42—3321no—
1382C42—3321no—
1383C42—3321no—
1384C42—3321no—
1385C42—3321no—
1386C42—3321no—
1387C42—3321no—
1388C42—3321no—
1389C42—1662no—
1390C42—1662no—
1391C42—1662no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—28no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—28no—
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—21no—
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—
1441C23#41×D8312yes—
1442C23C2×#1305058912yes—
1443C23C2×#1305059012yes—
1444C23C2×#1305059012yes—
1445C23C2×#1305059012yes—
1446C23#1458183712yes—
1447C23#1458183712yes—
1448C23C24×D8311yescharacteristic
1449Q8—6642no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—3324no—
1455D4—3324no—
1456D4—3324no—
1457D4—6642no—
1458D4—6642no—
1459C2×C4—28no—
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—21no—
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—3324no—
1496C2×C4—3324no—
1497C2×C4—3324no—
1498C2×C4—3324no—
1499C2×C4—832no—
1500C2×C4—832no—
1501C2×C4—6642no—
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×C4—1661no—
1542C2×C4—1661no—
1543C2×C4—1661no—
1544C2×C4—1661no—
1545C2×C4C2×#1305058912yes—
1546C2×C4C2×#1305058912yes—
1547C2×C4#1458183712yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—416no—
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—41no—
1580C22—41no—
1581C22—41no—
1582C22—88no—
1583C22—3321no—
1584C22—3321no—
1585C22—3321no—
1586C22—3321no—
1587C22—3321no—
1588C22—3321no—
1589C22—3321no—
1590C22#1912823114yes—
1591C22#1912828914yes—
1592C22C2×#41×D8311yescharacteristic
1593C22C22×#1305058911yescharacteristic
1594C22C22×#1305059011yescharacteristic
1595C22C2×#1458183711yescharacteristic
1596C22C2×#1458183711yescharacteristic
1597C22C2×#1458183711yescharacteristic
1598C22#1912853711yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—3321no—
1610C4—3321no—
1611C4—3321no—
1612C4—3321no—
1613C4—3321no—
1614C4—3321no—
1615C4—3321no—
1616C4—3321no—
1617C4—3321no—
1618C4—3321no—
1619C4—3321no—
1620C4—3321no—
1621C4—3321no—
1622C4—1662no—
1623C4—1662no—
1624C2—24no—
1625C2—24no—
1626C2—42no—
1627C2—81no—
1628C2—81no—
1629C2—6641no—
1630C2C2×#1912823111yescharacteristic
1631C2C2×#1912828911yescharacteristic
1632C2#2492087211yescharacteristic
1633C2#2492115011yescharacteristic
1634C2#2492119211yescharacteristic
1635C2#2492139511yescharacteristic
1636C2#2492148911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC2×#386×C83C2
prime radical#24910837C2
hypercenterC2×#386D83
hypocenterC83#34998
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. #24915791C2semidirect
2. #24915784C2semidirect
3. #24915776C2semidirect
4. #24915760C2semidirect
5. #24913528C2semidirect
6. #24913466C2semidirect
7. #24913453C2semidirect
8. #24913451C2semidirect
9. #24912123C2semidirect
10. #24912123C2semidirect
11. #24912025C2semidirect
12. #24912023C2semidirect
13. #24911964C2semidirect
14. #24911791C2semidirect
15. #24911703C2semidirect
16. #24911583C2semidirect
17. #24911516C2semidirect
18. #24911402C2semidirect
19. #24911215C2semidirect
20. #24911124C2semidirect
21. #24911016C2semidirect
22. #24910853C2semidirect
24. #24910786C2semidirect
25. #24910196C2semidirect
26. #24910121C2semidirect
27. #24910097C2semidirect
28. #24910061C2semidirect
29. C4×#14581761C2semidirect
30. C2×C4×C22⋊Dic83C2semidirect
31. C2×#386×C83C2semidirect
32. C2×#14581785C22semidirect
33. C2×#14581778C22semidirect
34. C2×#14581776C22semidirect
38. C2×#14581769C22semidirect
44. C2×C4×C22⋊D83C22semidirect
45. C2×C4×C22⋊D83C22semidirect
48. C22×C4×Dic83C22semidirect
49. C22×C4×Dic83C22semidirect
50. C83⋊#401C22semidirect
51. #19127643C22semidirect
52. #19127642C22semidirect
53. #19127642C22semidirect
54. #19127641C22semidirect
55. #19127637C22semidirect
56. #19127635C22semidirect
57. #19127630C22semidirect
58. #19127629C22semidirect
59. #19127629C22semidirect
60. #19127629C22semidirect
61. #19127628C22semidirect
62. #19127626C22semidirect
63. #19127626C22semidirect
64. #19127626C22semidirect
65. #19127624C22semidirect
66. #19127624C22semidirect
67. #19127624C22semidirect
68. #19127617C22semidirect
69. #19127617C22semidirect
70. #19127617C22semidirect
71. #19127616C22semidirect
78. #19127613C22semidirect
79. #19127613C22semidirect
82. #19127605C22semidirect
83. #19127605C22semidirect
84. #19127601C22semidirect
85. #19127601C22semidirect
86. #19127601C22semidirect
87. #19127598C22semidirect
88. #19127598C22semidirect
89. #19127598C22semidirect
90. #19127595C22semidirect
91. #19127595C22semidirect
92. #19127595C22semidirect
93. #19127594C22semidirect
94. #19127594C22semidirect
95. #19127594C22semidirect
96. #19127594C22semidirect
97. #19127594C22semidirect
98. #19127594C22semidirect
99. #19127594C22semidirect
100. #19127594C22semidirect
101. #19127594C22semidirect
102. #19127594C22semidirect
103. #19127593C22semidirect
104. #19127590C22semidirect
105. #19127590C22semidirect
106. #19127590C22semidirect
107. #19127589C22semidirect
108. #19127589C22semidirect
109. #19127589C22semidirect
110. #19127589C22semidirect
111. #19127588C22semidirect
112. #19127588C22semidirect
113. #19127586C22semidirect
114. #19127584C22semidirect
115. #19127584C22semidirect
116. #19127584C22semidirect
117. #19127583C22semidirect
118. #19127583C22semidirect
119. #19127583C22semidirect
128. #19127580C22semidirect
129. #19127580C22semidirect
130. #19127578C22semidirect
131. #19127577C22semidirect
132. #19127577C22semidirect
133. #19127576C22semidirect
134. #19127576C22semidirect
141. #19127574C22semidirect
142. #19127574C22semidirect
143. #19127573C22semidirect
144. #19127568C22semidirect
145. #19127568C22semidirect
146. #19127565C22semidirect
147. #19127565C22semidirect
148. #19127563C22semidirect
149. #19127562C22semidirect
153. #19127560C22semidirect
154. #19127559C22semidirect
164. C4×C22⋊Dic83C22semidirect
165. C4×C22⋊Dic83C22semidirect
166. C4×C22⋊Dic83C22semidirect
167. C4×C22⋊Dic83C22semidirect
168. C4×C22⋊Dic83C22semidirect
169. C4×C22⋊Dic83C22semidirect
170. C2×C83⋊#95C22semidirect
171. C2×C83⋊#95C22semidirect
848. C2×#386D83semidirect
850. C83#34998semidirect

Maximal subgroups

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

subgroupindex
#249157912
#249157842
#249157762
#249157602
#249135282
#249134662
#249134532
#249134512
#249121232
#249120252
#249120232
#249119642
#249117912
#249117032
#249115832
#249115162
#249114022
#249112152
#249111242
#249110162
#249108532
#249108372
#249107862
#249101962
#249101212
#249100972
#249100612
C4×#145817612
C2×C4×C22⋊Dic832
C2×#386×C832
#3499883