Finite Group Databasebeta

← #35613276

Subgroups — #35613276

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#24915757C211yesmaximal, characteristic, complemented
2#24915748C211yesmaximal, characteristic, complemented
3#24915299C211yesmaximal, characteristic, complemented
4#24914852C211yesmaximal, characteristic, complemented
5#24914802C211yesmaximal, characteristic, complemented
6#24914710C211yesmaximal, characteristic, complemented
7#24914520C211yesmaximal, characteristic, complemented
8#24914455C211yesmaximal, characteristic, complemented
9#24914388C211yesmaximal, characteristic, complemented
10#24914268C211yesmaximal, characteristic, complemented
11#24914229C211yesmaximal, characteristic, complemented
12#24914199C211yesmaximal, characteristic, complemented
13#24914131C211yesmaximal, characteristic, complemented
14#24914083C211yesmaximal, characteristic, complemented
15#24914055C211yesmaximal, characteristic, complemented
16#24913943C211yesmaximal, characteristic, complemented
17#24913868C211yesmaximal, characteristic, complemented
18#24913720C211yesmaximal, characteristic, complemented
19#24913272C211yesmaximal, characteristic, complemented
20#24913239C211yesmaximal, characteristic, complemented
21#24912645C211yesmaximal, characteristic, complemented
22#24912469C211yesmaximal, characteristic, complemented
23#24911706C211yesmaximal, characteristic, complemented
24#24911706C211yesmaximal, characteristic, complemented
25#24911586C211yesmaximal, characteristic, complemented
26#24911586C211yesmaximal, characteristic, complemented
27#24910813C211yesmaximal, characteristic
28#24910198C211yesmaximal, characteristic, complemented
29#24910090C211yesmaximal, characteristic, complemented
30C2×#19127581C211yesmaximal, characteristic, complemented
31C83×#2435C211yesmaximal, characteristic, complemented
32C24×Dic83C2211yescharacteristic
33C2×#14581785C2211yescharacteristic, complemented
34C2×#14581785C2211yescharacteristic, complemented
35C2×#14581778C2211yescharacteristic, complemented
36C2×#14581778C2211yescharacteristic, complemented
37C2×#14581776C2211yescharacteristic, complemented
38C2×#14581776C2211yescharacteristic, complemented
39C2×#14581769C2211yescharacteristic
40C2×#14581769C2211yescharacteristic
41C2×#14581769C2211yescharacteristic, complemented
42C2×#14581769C2211yescharacteristic, complemented
43C2×#14581763C2211yescharacteristic
44C2×#14581763C2211yescharacteristic
45C2×#14581761C2211yescharacteristic
46C2×#14581761C2211yescharacteristic
47C2×C4×C22⋊D83C2211yescharacteristic
48C22×C22⋊Dic83C2211yescharacteristic
49C22×C22⋊Dic83C2211yescharacteristic
50C22×C22⋊Dic83C2211yescharacteristic
51#19127639C2211yescharacteristic, complemented
52#19127637C2211yescharacteristic, complemented
53#19127637C2211yescharacteristic, complemented
54#19127636C2211yescharacteristic, complemented
55#19127633C2211yescharacteristic, complemented
56#19127633C2211yescharacteristic, complemented
57#19127629C2211yescharacteristic, complemented
58#19127629C2211yescharacteristic, complemented
59#19127629C2211yescharacteristic, complemented
60#19127629C2211yescharacteristic, complemented
61#19127629C2211yescharacteristic, complemented
62#19127629C2211yescharacteristic, complemented
63#19127626C2211yescharacteristic, complemented
64#19127626C2211yescharacteristic, complemented
65#19127626C2211yescharacteristic, complemented
66#19127626C2211yescharacteristic, complemented
67#19127626C2211yescharacteristic, complemented
68#19127626C2211yescharacteristic, complemented
69#19127624C2211yescharacteristic, complemented
70#19127624C2211yescharacteristic, complemented
71#19127624C2211yescharacteristic, complemented
72#19127624C2211yescharacteristic, complemented
73#19127624C2211yescharacteristic, complemented
74#19127624C2211yescharacteristic, complemented
75#19127622C2211yescharacteristic, complemented
76#19127622C2211yescharacteristic, complemented
77#19127620C2211yescharacteristic, complemented
78#19127617C2211yescharacteristic, complemented
79#19127617C2211yescharacteristic, complemented
80#19127617C2211yescharacteristic, complemented
81#19127617C2211yescharacteristic, complemented
82#19127617C2211yescharacteristic, complemented
83#19127617C2211yescharacteristic, complemented
84#19127616C2211yescharacteristic, complemented
85#19127616C2211yescharacteristic, complemented
86#19127615C2211yescharacteristic
87#19127615C2211yescharacteristic
88#19127613C2211yescharacteristic, complemented
89#19127613C2211yescharacteristic, complemented
90#19127613C2211yescharacteristic, complemented
91#19127613C2211yescharacteristic, complemented
92#19127612C2211yescharacteristic, complemented
93#19127609C2211yescharacteristic
94#19127609C2211yescharacteristic
95#19127608C2211yescharacteristic, complemented
96#19127608C2211yescharacteristic, complemented
97#19127607C2211yescharacteristic, complemented
98#19127607C2211yescharacteristic, complemented
99#19127604C2211yescharacteristic
100#19127604C2211yescharacteristic
101#19127601C2211yescharacteristic, complemented
102#19127601C2211yescharacteristic, complemented
103#19127600C2211yescharacteristic, complemented
104#19127600C2211yescharacteristic, complemented
105#19127599C2211yescharacteristic, complemented
106#19127599C2211yescharacteristic, complemented
107#19127595C2211yescharacteristic, complemented
108#19127595C2211yescharacteristic, complemented
109#19127594C2211yescharacteristic, complemented
110#19127594C2211yescharacteristic, complemented
111#19127594C2211yescharacteristic, complemented
112#19127594C2211yescharacteristic, complemented
113#19127592C2211yescharacteristic, complemented
114#19127592C2211yescharacteristic, complemented
115#19127589C2211yescharacteristic, complemented
116#19127589C2211yescharacteristic, complemented
117#19127589C2211yescharacteristic, complemented
118#19127589C2211yescharacteristic, complemented
119#19127587C2211yescharacteristic, complemented
120#19127587C2211yescharacteristic, complemented
121#19127587C2211yescharacteristic, complemented
122#19127587C2211yescharacteristic, complemented
123#19127585C2211yescharacteristic, complemented
124#19127585C2211yescharacteristic, complemented
125#19127582C2211yescharacteristic, complemented
126#19127582C2211yescharacteristic, complemented
127#19127581C2211yescharacteristic
128#19127581C2211yescharacteristic
129#19127581C2211yescharacteristic
130#19127581C2211yescharacteristic
131#19127581C2211yescharacteristic
132#19127581C2211yescharacteristic
133#19127581C2211yescharacteristic
134#19127581C2211yescharacteristic
135#19127578C2211yescharacteristic
136#19127578C2211yescharacteristic
137#19127578C2211yescharacteristic
138#19127578C2211yescharacteristic
139#19127578C2211yescharacteristic, complemented
140#19127578C2211yescharacteristic, complemented
141#19127576C2211yescharacteristic
142#19127576C2211yescharacteristic
143#19127576C2211yescharacteristic
144#19127576C2211yescharacteristic
145#19127576C2211yescharacteristic, complemented
146#19127576C2211yescharacteristic, complemented
147#19127576C2211yescharacteristic, complemented
148#19127576C2211yescharacteristic, complemented
149#19127573C2211yescharacteristic
150#19127573C2211yescharacteristic
151#19127573C2211yescharacteristic, complemented
152#19127573C2211yescharacteristic, complemented
153#19127572C2211yescharacteristic, complemented
154#19127572C2211yescharacteristic, complemented
155#19127568C2211yescharacteristic, complemented
156#19127565C2211yescharacteristic, complemented
157#19127563C2211yescharacteristic, complemented
158#19127562C2211yescharacteristic, complemented
159#19127562C2211yescharacteristic, complemented
160#19127561C2211yescharacteristic
161#19127560C2211yescharacteristic, complemented
162#19127559C2211yescharacteristic
163#19127559C2211yescharacteristic
164#19127559C2211yescharacteristic, complemented
165#19127559C2211yescharacteristic, complemented
166#19127557C2211yescharacteristic
167#19127557C2211yescharacteristic
168C22⋊C4×Dic83C2211yescharacteristic
169C22⋊C4×Dic83C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172C23×D4×C83C2211yescharacteristic
173C2×#124×C83C2211yescharacteristic
174C2×#124×C83C2211yescharacteristic
175C2×C22⋊Q8×C83C2211yescharacteristic
176#394×C83C2211yescharacteristic
177#394×C83C2211yescharacteristic
178#394×C83C2211yescharacteristic
179#394×C83C2211yescharacteristic
180#390×C83C2211yescharacteristic
181#390×C83C2211yescharacteristic
182#379×C83C2211yescharacteristic
183#379×C83C2211yescharacteristic
184#379×C83C2211yescharacteristic
185#379×C83C2211yescharacteristic
186C4×C22⋊C4×C83C2211yescharacteristic
187C22×Dic166C2311yescharacteristic
188C22×Dic166C2311yescharacteristic
189C22×C22⋊D83C2311yescharacteristic
190C22×C22⋊D83C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C23×Dic83—42no—
195C23×Dic83—42no—
196C23×Dic83—42no—
197C23×Dic83C2311yescharacteristic
198C23×Dic83C2311yescharacteristic
199C23×Dic83C2311yescharacteristic
200C23×Dic83C2311yescharacteristic
201C23×Dic83C2311yescharacteristic
202C23×Dic83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C23×Dic83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206#14581785—42no—
207#14581785—42no—
208#14581778—42no—
209#14581778—42no—
210#14581776—42no—
211#14581776—42no—
212#14581769—42no—
213#14581769—42no—
214#14581769—42no—
215#14581769—42no—
216#14581763—42no—
217#14581763—42no—
218#14581761—42no—
219#14581761—42no—
220C4×C22⋊D83—24no—
221C2×C4⋊Dic83C2311yescharacteristic
222C2×C4⋊Dic83C2311yescharacteristic
223C2×C4⋊Dic83C2311yescharacteristic
224C2×C4⋊Dic83C2311yescharacteristic
225C2×C4⋊Dic83C2311yescharacteristic
226C2×C4⋊Dic83C2311yescharacteristic
227C2×C4⋊Dic83C2311yescharacteristic
228C2×C4⋊Dic83C2311yescharacteristic
229C2×C4⋊Dic83C2311yescharacteristic
230C2×C4⋊Dic83C2311yescharacteristic
231C2×C4⋊Dic83C2311yescharacteristic
232C2×C4⋊Dic83C2311yescharacteristic
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×C22⋊Dic83—42no—
247C2×C22⋊Dic83—42no—
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×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×C4×Dic83C2311yescharacteristic
286C2×C4×Dic83C2311yescharacteristic
287C2×C4×Dic83C2311yescharacteristic
288C2×C4×Dic83C2311yescharacteristic
289C2×C4×Dic83C2311yescharacteristic
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
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C25×C83C2311yescharacteristic
329C25×C83C2311yescharacteristic
330C22×Q8×C83C2311yescharacteristic
331C22×D4×C83—24no—
332C22×D4×C83—42no—
333C22×D4×C83—42no—
334C22×D4×C83C2311yescharacteristic
335C22×D4×C83C2311yescharacteristic
336C22×D4×C83C2311yescharacteristic
337C22×D4×C83C2311yescharacteristic
338C23×C4×C83C2311yescharacteristic
339#124×C83—42no—
340#124×C83—42no—
341C22⋊Q8×C83—24no—
342C2×C4⋊C4×C83C2311yescharacteristic
343C2×C4⋊C4×C83C2311yescharacteristic
344C2×C4⋊C4×C83C2311yescharacteristic
345C2×C22⋊C4×C83C2311yescharacteristic
346C2×C22⋊C4×C83C2311yescharacteristic
347C2×C22⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C22⋊C4×C83C2311yescharacteristic
358C2×C22⋊C4×C83C2311yescharacteristic
359C2×C22⋊C4×C83C2311yescharacteristic
360C2×C22⋊C4×C83C2311yescharacteristic
361C2×C22⋊C4×C83C2311yescharacteristic
362C2×C22⋊C4×C83C2311yescharacteristic
363C2×C22⋊C4×C83C2311yescharacteristic
364C2×C22⋊C4×C83C2311yescharacteristic
365C2×C42×C83C2311yescharacteristic
366C2×C42×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369C23×D83C2411yescharacteristic
370C2×Dic166—22no—
371C2×Dic166—41no—
372C2×Dic166—41no—
373C2×Dic166—41no—
374C2×Dic166—41no—
375C2×Dic166—41no—
376C2×C22⋊D83—22no—
377C2×C22⋊D83—22no—
378C2×C22⋊D83—22no—
379C2×C22⋊D83—22no—
380C2×C22⋊D83—22no—
381C2×C22⋊D83—41no—
382C2×C22⋊D83—41no—
383C2×C22⋊D83—41no—
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—
391C22×Dic83—22no—
392C22×Dic83—22no—
393C22×Dic83—22no—
394C22×Dic83—22no—
395C22×Dic83—22no—
396C22×Dic83—22no—
397C22×Dic83—22no—
398C22×Dic83—22no—
399C22×Dic83—22no—
400C22×Dic83—41no—
401C22×Dic83—41no—
402C22×Dic83—41no—
403C22×Dic83—41no—
404C22×Dic83—41no—
405C22×Dic83—41no—
406C22×Dic83—41no—
407C22×Dic83—41no—
408C22×Dic83—41no—
409C22×Dic83—41no—
410C22×Dic83—41no—
411C22×Dic83—41no—
412C22×Dic83—41no—
413C22×Dic83—41no—
414C22×Dic83—41no—
415C22×Dic83—416no—
416C22×Dic83C2411yescharacteristic
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C22×Dic83C2411yescharacteristic
429C22×Dic83C2411yescharacteristic
430C22×Dic83C2411yescharacteristic
431C2×C4×D83—22no—
432C2×C4×D83—41no—
433C2×C4×D83—41no—
434C4⋊Dic83—22no—
435C4⋊Dic83—41no—
436C4⋊Dic83—41no—
437C4⋊Dic83—41no—
438C4⋊Dic83—41no—
439C4⋊Dic83—41no—
440C4⋊Dic83—41no—
441C4⋊Dic83—41no—
442C4⋊Dic83—41no—
443C4⋊Dic83—41no—
444C4⋊Dic83—41no—
445C4⋊Dic83—41no—
446Dic83⋊C4—22no—
447Dic83⋊C4—22no—
448Dic83⋊C4—41no—
449Dic83⋊C4—41no—
450Dic83⋊C4—41no—
451Dic83⋊C4—41no—
452Dic83⋊C4—41no—
453Dic83⋊C4—41no—
454Dic83⋊C4—41no—
455Dic83⋊C4—41no—
456Dic83⋊C4—41no—
457Dic83⋊C4—41no—
458Dic83⋊C4—41no—
459C22⋊Dic83—22no—
460C22⋊Dic83—22no—
461C22⋊Dic83—22no—
462C22⋊Dic83—22no—
463C22⋊Dic83—22no—
464C22⋊Dic83—22no—
465C22⋊Dic83—22no—
466C22⋊Dic83—22no—
467C22⋊Dic83—22no—
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—
481C22⋊Dic83—41no—
482C22⋊Dic83—41no—
483C22⋊Dic83—41no—
484C22⋊Dic83—41no—
485C22⋊Dic83—41no—
486(C2×D83)⋊C4—22no—
487(C2×D83)⋊C4—22no—
488(C2×D83)⋊C4—41no—
489(C2×D83)⋊C4—41no—
490(C2×D83)⋊C4—41no—
491(C2×D83)⋊C4—41no—
492(C2×D83)⋊C4—41no—
493(C2×D83)⋊C4—41no—
494(C2×D83)⋊C4—41no—
495C4×Dic83—22no—
496C4×Dic83—41no—
497C4×Dic83—41no—
498C4×Dic83—41no—
499C4×Dic83—41no—
500C24×C83—22no—
501C24×C83—22no—
502C24×C83—22no—
503C24×C83—22no—
504C24×C83—22no—
505C24×C83—22no—
506C24×C83—22no—
507C24×C83—22no—
508C24×C83—41no—
509C24×C83—41no—
510C24×C83—41no—
511C24×C83—41no—
512C24×C83—41no—
513C24×C83—41no—
514C24×C83C2411yescharacteristic
515C24×C83C2411yescharacteristic
516C24×C83C2411yescharacteristic
517C24×C83C2411yescharacteristic
518C24×C83C2411yescharacteristic
519C2×Q8×C83—22no—
520C2×Q8×C83—41no—
521C2×Q8×C83—41no—
522C2×D4×C83—22no—
523C2×D4×C83—22no—
524C2×D4×C83—22no—
525C2×D4×C83—22no—
526C2×D4×C83—22no—
527C2×D4×C83—22no—
528C2×D4×C83—22no—
529C2×D4×C83—22no—
530C2×D4×C83—41no—
531C2×D4×C83—41no—
532C2×D4×C83—41no—
533C2×D4×C83—41no—
534C2×D4×C83—416no—
535C22×C4×C83—41no—
536C22×C4×C83—41no—
537C22×C4×C83#4114yes—
538C22×C4×C83C2411yescharacteristic
539C22×C4×C83C2411yescharacteristic
540C22×C4×C83C2411yescharacteristic
541C22×C4×C83C2411yescharacteristic
542C22×C4×C83C2411yescharacteristic
543C22×C4×C83C2411yescharacteristic
544C22×C4×C83C2411yescharacteristic
545C22×C4×C83C2411yescharacteristic
546C22×C4×C83C2411yescharacteristic
547C22×C4×C83C2411yescharacteristic
548C4⋊C4×C83—22no—
549C4⋊C4×C83—22no—
550C4⋊C4×C83—22no—
551C22⋊C4×C83—22no—
552C22⋊C4×C83—22no—
553C22⋊C4×C83—22no—
554C22⋊C4×C83—22no—
555C22⋊C4×C83—22no—
556C22⋊C4×C83—22no—
557C22⋊C4×C83—22no—
558C22⋊C4×C83—22no—
559C22⋊C4×C83—41no—
560C22⋊C4×C83—41no—
561C22⋊C4×C83—41no—
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—
571C42×C83—41no—
572C42×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—
630Q8×C83—82no—
631D4×C83—44no—
632D4×C83—44no—
633D4×C83—44no—
634D4×C83—44no—
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—21no—
663C2×C4×C83—44no—
664C2×C4×C83C2×#4112yes—
665C2×C4×C83C2×#4112yes—
666C22⋊D83—44no—
667C22⋊D83—82no—
668C22⋊D83—82no—
669C22⋊D83—82no—
670C22⋊D83—82no—
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—21no—
714C2×Dic83—21no—
715C2×Dic83—44no—
716C2×Dic83—44no—
717C2×Dic83—44no—
718C2×Dic83—44no—
719C2×Dic83—44no—
720C2×Dic83—44no—
721C2×Dic83—82no—
722C2×Dic83—82no—
723C2×Dic83H(5,𝔽2)12yes—
724C4×D83—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—41no—
781C4×C83—41no—
782C4×C83—41no—
783C4×C83—41no—
784C4×C83—41no—
785C4×C83—41no—
786C4×C83—41no—
787C4×C83—41no—
788Dic83—22no—
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#2435D8311yescharacteristic, complemented
844#2408—831no—
845#2329—831no—
846#2318—831no—
847C2×#386—831no—
848C83#3679311yescharacteristic, complemented, Sylow
849C23×D4C2×D8311yescharacteristic
850C24×C4—831no—
851C2×#126—831no—
852C2×#126—831no—
853C2×#124—831no—
854C2×#124—831no—
855C2×#124C2×D8311yescharacteristic
856C2×#124C2×D8311yescharacteristic
857C2×#123—831no—
858C2×#123—831no—
859C2×C22⋊Q8—831no—
860C2×C22⋊Q8—831no—
861C2×C22⋊Q8—831no—
862C2×C22⋊Q8—831no—
863C2×C22⋊Q8C2×D8311yescharacteristic
864C2×#121—831no—
865C2×#121—831no—
866C2×#120—831no—
867C2×#120—831no—
868C2×C4×D4—831no—
869C22×C22⋊C4—831no—
870C22×C22⋊C4—831no—
871C22×C22⋊C4—831no—
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#394C2×D8311yescharacteristic
910#394C2×D8311yescharacteristic
911#394C2×D8311yescharacteristic
912#394C2×D8311yescharacteristic
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#390C2×D8311yescharacteristic
929#390C2×D8311yescharacteristic
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#386—831no—
961#386—831no—
962#386—831no—
963#386—831no—
964#386—831no—
965#386—831no—
966#386—831no—
967#386—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#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#379C2×D8311yescharacteristic
996#379C2×D8311yescharacteristic
997#379C2×D8311yescharacteristic
998#379C2×D8311yescharacteristic
999C4×C22⋊C4—831no—
1000C4×C22⋊C4—831no—
1001C4×C22⋊C4C2×D8311yescharacteristic
1002C2×#95—831no—
1003C2×#95—831no—
1004C25C22×D8311yescharacteristic
1005C25C22×D8311yescharacteristic
1006C22×Q8—831no—
1007C22×Q8—831no—
1008C22×Q8C22×D8311yescharacteristic
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—3322no—
1022C23×C4—3322no—
1023C23×C4—3322no—
1024C23×C4—831no—
1025C23×C4—831no—
1026C23×C4—831no—
1027C23×C4—831no—
1028C23×C4—831no—
1029C23×C4—831no—
1030C23×C4—831no—
1031C23×C4—831no—
1032C23×C4—831no—
1033C23×C4C22×D8311yescharacteristic
1034#126—3322no—
1035#126—3322no—
1036#124—42no—
1037#124—42no—
1038#124—3322no—
1039#124—3322no—
1040#123—3322no—
1041#123—3322no—
1042C22⋊Q8—24no—
1043C22⋊Q8—3322no—
1044C22⋊Q8—3322no—
1045C22⋊Q8—3322no—
1046C22⋊Q8—3322no—
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⋊C4C22×D8311yescharacteristic
1078C2×C4⋊C4C22×D8311yescharacteristic
1079C2×C4⋊C4C22×D8311yescharacteristic
1080C2×C22⋊C4—3322no—
1081C2×C22⋊C4—3322no—
1082C2×C22⋊C4—3322no—
1083C2×C22⋊C4—831no—
1084C2×C22⋊C4—831no—
1085C2×C22⋊C4—831no—
1086C2×C22⋊C4—831no—
1087C2×C22⋊C4—831no—
1088C2×C22⋊C4—831no—
1089C2×C22⋊C4—831no—
1090C2×C22⋊C4—831no—
1091C2×C22⋊C4—831no—
1092C2×C22⋊C4—831no—
1093C2×C22⋊C4—831no—
1094C2×C22⋊C4—831no—
1095C2×C22⋊C4—831no—
1096C2×C22⋊C4—831no—
1097C2×C22⋊C4—831no—
1098C2×C22⋊C4—831no—
1099C2×C22⋊C4—831no—
1100C2×C22⋊C4—831no—
1101C2×C22⋊C4—831no—
1102C2×C22⋊C4—831no—
1103C2×C22⋊C4—831no—
1104C2×C22⋊C4—831no—
1105C2×C22⋊C4—831no—
1106C2×C22⋊C4—831no—
1107C2×C22⋊C4—831no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—831no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—831no—
1118C2×C22⋊C4—831no—
1119C2×C22⋊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×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×C42C22×D8311yescharacteristic
1145C2×C42C22×D8311yescharacteristic
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#95—831no—
1181#95—831no—
1182#95—831no—
1183#95—831no—
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—22no—
1207C2×Q8—41no—
1208C2×Q8—41no—
1209C2×Q8—3321no—
1210C2×Q8—3321no—
1211C2×Q8—3321no—
1212C2×Q8—3321no—
1213C2×Q8—3321no—
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—41no—
1244C22×C4—41no—
1245C22×C4—3321no—
1246C22×C4—3321no—
1247C22×C4—33216no—
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—3321no—
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×C4—1662no—
1285C22×C4—1662no—
1286C22×C4—1662no—
1287C22×C4—1662no—
1288C22×C4#1305058914yes—
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—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
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—3321no—
1324C4⋊C4—1662no—
1325C4⋊C4—1662no—
1326C4⋊C4—1662no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—3321no—
1348C22⋊C4—3321no—
1349C22⋊C4—3321no—
1350C22⋊C4—3321no—
1351C22⋊C4—3321no—
1352C22⋊C4—3321no—
1353C22⋊C4—3321no—
1354C22⋊C4—3321no—
1355C22⋊C4—3321no—
1356C22⋊C4—3321no—
1357C22⋊C4—3321no—
1358C22⋊C4—3321no—
1359C22⋊C4—3321no—
1360C22⋊C4—3321no—
1361C22⋊C4—3321no—
1362C22⋊C4—3321no—
1363C22⋊C4—3321no—
1364C22⋊C4—3321no—
1365C22⋊C4—3321no—
1366C22⋊C4—3321no—
1367C22⋊C4—3321no—
1368C22⋊C4—3321no—
1369C22⋊C4—3321no—
1370C22⋊C4—3321no—
1371C22⋊C4—3321no—
1372C22⋊C4—1662no—
1373C22⋊C4—1662no—
1374C22⋊C4—1662no—
1375C22⋊C4—1662no—
1376C22⋊C4—1662no—
1377C22⋊C4—1662no—
1378C22⋊C4—1662no—
1379C22⋊C4—1662no—
1380C22⋊C4—1662no—
1381C22⋊C4—1662no—
1382C22⋊C4—1662no—
1383C42—41no—
1384C42—41no—
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×#1305058912yes—
1442C23#1458183712yes—
1443C23#1458183712yes—
1444C23#1458183812yes—
1445C23#1458183912yes—
1446C23C24×D8311yescharacteristic
1447Q8—82no—
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—21no—
1487C2×C4—44no—
1488C2×C4—3324no—
1489C2×C4—3324no—
1490C2×C4—3324no—
1491C2×C4—3324no—
1492C2×C4—3324no—
1493C2×C4—3324no—
1494C2×C4—832no—
1495C2×C4—6642no—
1496C2×C4—6642no—
1497C2×C4—6642no—
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×C4—1661no—
1542C2×C4C2×#1305058912yes—
1543C2×C4C2×#1305058912yes—
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#1912832014yes—
1588C22C22×#1305058911yescharacteristic
1589C22H(5,𝔽2)×D8311yescharacteristic
1590C22C2×#1458183711yescharacteristic
1591C22C2×#1458183711yescharacteristic
1592C22C2×#1458183811yescharacteristic
1593C22C2×#1458183911yescharacteristic
1594C22#1912853611yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—41no—
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—1662no—
1620C2—24no—
1621C2—42no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—6641no—
1626C2C2×#1912832011yescharacteristic
1627C2#2492115011yescharacteristic
1628C2#2492131411yescharacteristic
1629C2#2492161211yescharacteristic
1630C2#2492164911yescharacteristic
1631C2#2492166011yescharacteristic
1632C2#2492167811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2435C2
prime radical#24910813C2
hypercenter#2435D83
hypocenterC83#36793
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2435

Complements

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

NH ≅ G/Ntype
1. #24915757C2semidirect
2. #24915748C2semidirect
3. #24915299C2semidirect
4. #24914852C2semidirect
5. #24914802C2semidirect
6. #24914710C2semidirect
7. #24914520C2semidirect
8. #24914455C2semidirect
9. #24914388C2semidirect
10. #24914268C2semidirect
11. #24914229C2semidirect
12. #24914199C2semidirect
13. #24914131C2semidirect
14. #24914083C2semidirect
15. #24914055C2semidirect
16. #24913943C2semidirect
17. #24913868C2semidirect
18. #24913720C2semidirect
19. #24913272C2semidirect
20. #24913239C2semidirect
21. #24912645C2semidirect
22. #24912469C2semidirect
23. #24911706C2semidirect
24. #24911706C2semidirect
25. #24911586C2semidirect
26. #24911586C2semidirect
28. #24910198C2semidirect
29. #24910090C2semidirect
30. C2×#19127581C2semidirect
31. C83×#2435C2semidirect
33. C2×#14581785C22semidirect
34. C2×#14581785C22semidirect
35. C2×#14581778C22semidirect
36. C2×#14581778C22semidirect
37. C2×#14581776C22semidirect
38. C2×#14581776C22semidirect
41. C2×#14581769C22semidirect
42. C2×#14581769C22semidirect
51. #19127639C22semidirect
52. #19127637C22semidirect
53. #19127637C22semidirect
54. #19127636C22semidirect
55. #19127633C22semidirect
56. #19127633C22semidirect
57. #19127629C22semidirect
58. #19127629C22semidirect
59. #19127629C22semidirect
60. #19127629C22semidirect
61. #19127629C22semidirect
62. #19127629C22semidirect
63. #19127626C22semidirect
64. #19127626C22semidirect
65. #19127626C22semidirect
66. #19127626C22semidirect
67. #19127626C22semidirect
68. #19127626C22semidirect
69. #19127624C22semidirect
70. #19127624C22semidirect
71. #19127624C22semidirect
72. #19127624C22semidirect
73. #19127624C22semidirect
74. #19127624C22semidirect
75. #19127622C22semidirect
76. #19127622C22semidirect
77. #19127620C22semidirect
78. #19127617C22semidirect
79. #19127617C22semidirect
80. #19127617C22semidirect
81. #19127617C22semidirect
82. #19127617C22semidirect
83. #19127617C22semidirect
84. #19127616C22semidirect
85. #19127616C22semidirect
88. #19127613C22semidirect
89. #19127613C22semidirect
90. #19127613C22semidirect
91. #19127613C22semidirect
92. #19127612C22semidirect
95. #19127608C22semidirect
96. #19127608C22semidirect
97. #19127607C22semidirect
98. #19127607C22semidirect
101. #19127601C22semidirect
102. #19127601C22semidirect
103. #19127600C22semidirect
104. #19127600C22semidirect
105. #19127599C22semidirect
106. #19127599C22semidirect
107. #19127595C22semidirect
108. #19127595C22semidirect
109. #19127594C22semidirect
110. #19127594C22semidirect
111. #19127594C22semidirect
112. #19127594C22semidirect
113. #19127592C22semidirect
114. #19127592C22semidirect
115. #19127589C22semidirect
116. #19127589C22semidirect
117. #19127589C22semidirect
118. #19127589C22semidirect
119. #19127587C22semidirect
120. #19127587C22semidirect
121. #19127587C22semidirect
122. #19127587C22semidirect
123. #19127585C22semidirect
124. #19127585C22semidirect
125. #19127582C22semidirect
126. #19127582C22semidirect
139. #19127578C22semidirect
140. #19127578C22semidirect
145. #19127576C22semidirect
146. #19127576C22semidirect
147. #19127576C22semidirect
148. #19127576C22semidirect
151. #19127573C22semidirect
152. #19127573C22semidirect
153. #19127572C22semidirect
154. #19127572C22semidirect
155. #19127568C22semidirect
156. #19127565C22semidirect
157. #19127563C22semidirect
158. #19127562C22semidirect
159. #19127562C22semidirect
161. #19127560C22semidirect
164. #19127559C22semidirect
165. #19127559C22semidirect
843. #2435D83semidirect
848. C83#36793semidirect

Maximal subgroups

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

subgroupindex
#249157572
#249157482
#249152992
#249148522
#249148022
#249147102
#249145202
#249144552
#249143882
#249142682
#249142292
#249141992
#249141312
#249140832
#249140552
#249139432
#249138682
#249137202
#249132722
#249132392
#249126452
#249124692
#249117062
#249115862
#249108132
#249101982
#249100902
C2×#191275812
C83×#24352
#3679383