Finite Group Databasebeta

← #35577130

Subgroups — #35577130

Order 21248.

2866 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128326C211yesmaximal, characteristic, complemented
2C2×#19128261C211yesmaximal, characteristic
3#24915763C211yesmaximal, characteristic, complemented
4#24915761C211yesmaximal, characteristic, complemented
5#24915761C211yesmaximal, characteristic, complemented
6#24915759C211yesmaximal, characteristic, complemented
7#24913394C211yesmaximal, characteristic, complemented
8#24913394C211yesmaximal, characteristic, complemented
9#24913392C211yesmaximal, characteristic, complemented
10#24913390C211yesmaximal, characteristic, complemented
11#24911795C211yesmaximal, characteristic, complemented
12#24911794C211yesmaximal, characteristic, complemented
13#24911792C211yesmaximal, characteristic, complemented
14#24911791C211yesmaximal, characteristic, complemented
15#24911788C211yesmaximal, characteristic, complemented
16#24911787C211yesmaximal, characteristic, complemented
17#24911783C211yesmaximal, characteristic, complemented
18#24911782C211yesmaximal, characteristic, complemented
19#24911595C211yesmaximal, characteristic, complemented
20#24911590C211yesmaximal, characteristic, complemented
21#24911588C211yesmaximal, characteristic, complemented
22#24911586C211yesmaximal, characteristic, complemented
23#24911585C211yesmaximal, characteristic, complemented
24#24911584C211yesmaximal, characteristic, complemented
25#24911583C211yesmaximal, characteristic, complemented
26#24910039C211yesmaximal, characteristic, complemented
27#24910037C211yesmaximal, characteristic, complemented
28C2×#19127577C211yesmaximal, characteristic, complemented
29#386×D83C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D83C211yesmaximal, characteristic, complemented
31C83×#2472C211yesmaximal, characteristic, complemented
32C23×C22⋊D83C2211yescharacteristic
33C22×D4×D83C2211yescharacteristic
34C23×C4×D83C2211yescharacteristic
35#19128326—28no—
36#19128261—28no—
37C2×#14581779C2211yescharacteristic, complemented
38C2×#14581778C2211yescharacteristic, complemented
39C2×#14581778C2211yescharacteristic, complemented
40C2×#14581776C2211yescharacteristic
41C2×#14581774C2211yescharacteristic
42C2×#14581774C2211yescharacteristic
43C2×#14581773C2211yescharacteristic
44C2×#14581772C2211yescharacteristic, complemented
45C2×#14581772C2211yescharacteristic, complemented
46C2×#14581771C2211yescharacteristic, complemented
47C2×#14581770C2211yescharacteristic, complemented
48C2×#14581770C2211yescharacteristic, complemented
49C2×#14581770C2211yescharacteristic, complemented
50C2×#14581770C2211yescharacteristic, complemented
51C2×#14581769C2211yescharacteristic, complemented
52C2×#14581769C2211yescharacteristic, complemented
53C2×#14581768C2211yescharacteristic, complemented
54C2×#14581768C2211yescharacteristic, complemented
55C2×#14581765C2211yescharacteristic
56C2×#14581765C2211yescharacteristic
57C2×#14581763C2211yescharacteristic
58C2×#14581763C2211yescharacteristic
59C2×#14581761C2211yescharacteristic
60C2×#14581760C2211yescharacteristic
61C2×#14581760C2211yescharacteristic
62C22×C22⋊Dic83C2211yescharacteristic, complemented
63C22×(C2×D83)⋊C4C2211yescharacteristic
64C2×C22⋊C4×D83C2211yescharacteristic
65C2×C22⋊C4×D83C2211yescharacteristic
66C2×C22⋊C4×D83C2211yescharacteristic
67C2×C22⋊C4×D83C2211yescharacteristic, complemented
68C2×C22⋊C4×D83C2211yescharacteristic, complemented
69C2×C42×D83C2211yescharacteristic, complemented
70C2×C42×D83C2211yescharacteristic, complemented
71#19127643C2211yescharacteristic, complemented
72#19127643C2211yescharacteristic, complemented
73#19127642C2211yescharacteristic, complemented
74#19127642C2211yescharacteristic, complemented
75#19127641C2211yescharacteristic, complemented
76#19127641C2211yescharacteristic, complemented
77#19127640C2211yescharacteristic, complemented
78#19127640C2211yescharacteristic, complemented
79#19127629C2211yescharacteristic, complemented
80#19127629C2211yescharacteristic, complemented
81#19127629C2211yescharacteristic, complemented
82#19127629C2211yescharacteristic, complemented
83#19127628C2211yescharacteristic, complemented
84#19127627C2211yescharacteristic, complemented
85#19127626C2211yescharacteristic, complemented
86#19127617C2211yescharacteristic, complemented
87#19127617C2211yescharacteristic, complemented
88#19127616C2211yescharacteristic, complemented
89#19127616C2211yescharacteristic, complemented
90#19127615C2211yescharacteristic, complemented
91#19127615C2211yescharacteristic, complemented
92#19127614C2211yescharacteristic, complemented
93#19127613C2211yescharacteristic, complemented
94#19127613C2211yescharacteristic, complemented
95#19127613C2211yescharacteristic, complemented
96#19127613C2211yescharacteristic, complemented
97#19127613C2211yescharacteristic, complemented
98#19127612C2211yescharacteristic, complemented
99#19127608C2211yescharacteristic, complemented
100#19127607C2211yescharacteristic, complemented
101#19127605C2211yescharacteristic, complemented
102#19127605C2211yescharacteristic, complemented
103#19127604C2211yescharacteristic, complemented
104#19127601C2211yescharacteristic, complemented
105#19127601C2211yescharacteristic, complemented
106#19127595C2211yescharacteristic, complemented
107#19127595C2211yescharacteristic, complemented
108#19127594C2211yescharacteristic, complemented
109#19127594C2211yescharacteristic, complemented
110#19127594C2211yescharacteristic, complemented
111#19127594C2211yescharacteristic, complemented
112#19127592C2211yescharacteristic, complemented
113#19127592C2211yescharacteristic, complemented
114#19127591C2211yescharacteristic, complemented
115#19127591C2211yescharacteristic, complemented
116#19127589C2211yescharacteristic, complemented
117#19127589C2211yescharacteristic, complemented
118#19127589C2211yescharacteristic, complemented
119#19127589C2211yescharacteristic, complemented
120#19127581C2211yescharacteristic
121#19127581C2211yescharacteristic
122#19127580C2211yescharacteristic
123#19127580C2211yescharacteristic
124#19127579C2211yescharacteristic, complemented
125#19127579C2211yescharacteristic, complemented
126#19127579C2211yescharacteristic, complemented
127#19127579C2211yescharacteristic, complemented
128#19127578C2211yescharacteristic
129#19127578C2211yescharacteristic
130#19127577C2211yescharacteristic
131#19127577C2211yescharacteristic
132#19127577C2211yescharacteristic
133#19127577C2211yescharacteristic
134#19127577C2211yescharacteristic
135#19127577C2211yescharacteristic
136#19127577C2211yescharacteristic
137#19127577C2211yescharacteristic
138#19127577C2211yescharacteristic, complemented
139#19127577C2211yescharacteristic, complemented
140#19127577C2211yescharacteristic, complemented
141#19127577C2211yescharacteristic, complemented
142#19127577C2211yescharacteristic, complemented
143#19127577C2211yescharacteristic, complemented
144#19127577C2211yescharacteristic, complemented
145#19127577C2211yescharacteristic, complemented
146#19127577C2211yescharacteristic, complemented
147#19127577C2211yescharacteristic, complemented
148#19127577C2211yescharacteristic, complemented
149#19127577C2211yescharacteristic, complemented
150#19127567C2211yescharacteristic, complemented
151#19127566C2211yescharacteristic, complemented
152#19127565C2211yescharacteristic, complemented
153#19127565C2211yescharacteristic, complemented
154#19127563C2211yescharacteristic, complemented
155#19127563C2211yescharacteristic, complemented
156#19127562C2211yescharacteristic, complemented
157#19127562C2211yescharacteristic, complemented
158#19127557C2211yescharacteristic, complemented
159#19127556C2211yescharacteristic, complemented
160#19127556C2211yescharacteristic, complemented
161C22⋊C4×Dic83C2211yescharacteristic, complemented
162C22⋊C4×Dic83C2211yescharacteristic, complemented
163C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
165C4×C22⋊Dic83C2211yescharacteristic, complemented
166#19127548C2211yescharacteristic, complemented
167#19127548C2211yescharacteristic, complemented
168C2×C83⋊#95C2211yescharacteristic, complemented
169C2×C83⋊#95C2211yescharacteristic, complemented
170#95×D83C2211yescharacteristic, complemented
171#95×D83C2211yescharacteristic, complemented
172#95×D83C2211yescharacteristic, complemented
173#95×D83C2211yescharacteristic, complemented
174C2×#124×C83C2211yescharacteristic, complemented
175C2×C22⋊Q8×C83C2211yescharacteristic, complemented
176C2×#120×C83C2211yescharacteristic
177C22×C22⋊C4×C83C2211yescharacteristic, complemented
178#397×C83C2211yescharacteristic, complemented
179#394×C83C2211yescharacteristic, complemented
180#394×C83C2211yescharacteristic, complemented
181#393×C83C2211yescharacteristic, complemented
182#390×C83C2211yescharacteristic, complemented
183#388×C83C2211yescharacteristic, complemented
184#388×C83C2211yescharacteristic, complemented
185#386×C83C2211yescharacteristic
186#386×C83C2211yescharacteristic
187#379×C83C2211yescharacteristic, complemented
188C4×C22⋊C4×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C24×D83C2311yescharacteristic
191C22×Dic166C2311yescharacteristic
192C22×Dic166C2311yescharacteristic
193C22×Dic166C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×C22⋊D83—24no—
196C22×C22⋊D83—24no—
197C22×C22⋊D83—24no—
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C22×C22⋊D83C2311yescharacteristic
206C2×D4×D83—24no—
207C2×D4×D83—24no—
208C2×D4×D83—24no—
209C23×Dic83C2311yescharacteristic
210C23×Dic83C2311yescharacteristic
211C23×Dic83C2311yescharacteristic
212C22×C4×D83—24no—
213C22×C4×D83—42no—
214C22×C4×D83—42no—
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220C22×C4×D83C2311yescharacteristic
221C22×C4×D83C2311yescharacteristic
222C22×C4×D83C2311yescharacteristic
223C22×C4×D83C2311yescharacteristic
224C22×C4×D83C2311yescharacteristic
225C22×C4×D83C2311yescharacteristic
226#14581779—42no—
227#14581778—42no—
228#14581778—42no—
229#14581776—24no—
230#14581774—24no—
231#14581774—24no—
232#14581773—24no—
233#14581772—24no—
234#14581772—24no—
235#14581771—24no—
236#14581770—24no—
237#14581770—24no—
238#14581770—24no—
239#14581770—24no—
240#14581769—24no—
241#14581769—24no—
242#14581768—24no—
243#14581768—24no—
244#14581765—24no—
245#14581765—24no—
246#14581763—24no—
247#14581763—24no—
248#14581761—24no—
249#14581760—24no—
250#14581760—24no—
251C2×C4⋊Dic83C2311yescharacteristic
252C2×C4⋊Dic83C2311yescharacteristic
253C2×C4⋊Dic83C2311yescharacteristic
254C2×C4⋊Dic83C2311yescharacteristic
255C2×C4⋊Dic83C2311yescharacteristic
256C2×Dic83⋊C4C2311yescharacteristic
257C2×Dic83⋊C4C2311yescharacteristic
258C2×Dic83⋊C4C2311yescharacteristic
259C2×Dic83⋊C4C2311yescharacteristic
260C2×Dic83⋊C4C2311yescharacteristic
261C2×Dic83⋊C4C2311yescharacteristic
262C2×Dic83⋊C4C2311yescharacteristic
263C2×Dic83⋊C4C2311yescharacteristic
264C2×C22⋊Dic83—42no—
265C2×C22⋊Dic83C2311yescharacteristic
266C2×C22⋊Dic83C2311yescharacteristic
267C2×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×C22⋊Dic83C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×C22⋊Dic83C2311yescharacteristic
272C2×C22⋊Dic83C2311yescharacteristic
273C2×C22⋊Dic83C2311yescharacteristic
274C2×C22⋊Dic83C2311yescharacteristic
275C2×C22⋊Dic83C2311yescharacteristic
276C2×C22⋊Dic83C2311yescharacteristic
277C2×C22⋊Dic83C2311yescharacteristic
278C2×C22⋊Dic83C2311yescharacteristic
279C2×C22⋊Dic83C2311yescharacteristic
280C2×C22⋊Dic83C2311yescharacteristic
281C2×C22⋊Dic83C2311yescharacteristic
282C2×C22⋊Dic83C2311yescharacteristic
283C2×C22⋊Dic83C2311yescharacteristic
284C2×(C2×D83)⋊C4—24no—
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C2×(C2×D83)⋊C4C2311yescharacteristic
298C2×(C2×D83)⋊C4C2311yescharacteristic
299C2×(C2×D83)⋊C4C2311yescharacteristic
300C2×(C2×D83)⋊C4C2311yescharacteristic
301C2×(C2×D83)⋊C4C2311yescharacteristic
302C2×(C2×D83)⋊C4C2311yescharacteristic
303C2×(C2×D83)⋊C4C2311yescharacteristic
304C2×(C2×D83)⋊C4C2311yescharacteristic
305C22⋊C4×D83—24no—
306C22⋊C4×D83—24no—
307C22⋊C4×D83—42no—
308C22⋊C4×D83—42no—
309C22⋊C4×D83D418yes—
310C2×C4×Dic83C2311yescharacteristic
311C2×C4×Dic83C2311yescharacteristic
312C2×C4×Dic83C2311yescharacteristic
313C2×C4×Dic83C2311yescharacteristic
314C2×C4×Dic83C2311yescharacteristic
315C2×C4×Dic83C2311yescharacteristic
316C42×D83—42no—
317C42×D83—42no—
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C83⋊#95C2311yescharacteristic
341C83⋊#95C2311yescharacteristic
342C83⋊#95C2311yescharacteristic
343C83⋊#95C2311yescharacteristic
344C83⋊#95C2311yescharacteristic
345C83⋊#95C2311yescharacteristic
346C83⋊#95C2311yescharacteristic
347C83⋊#95C2311yescharacteristic
348C83⋊#95C2311yescharacteristic
349C83⋊#95C2311yescharacteristic
350C83⋊#95C2311yescharacteristic
351C83⋊#95C2311yescharacteristic
352C25×C83C2311yescharacteristic
353C22×Q8×C83C2311yescharacteristic
354C22×D4×C83C2311yescharacteristic
355C22×D4×C83C2311yescharacteristic
356C22×D4×C83C2311yescharacteristic
357C23×C4×C83C2311yescharacteristic
358C23×C4×C83C2311yescharacteristic
359#124×C83—42no—
360C22⋊Q8×C83—24no—
361#120×C83—24no—
362C2×C4⋊C4×C83C2311yescharacteristic
363C2×C4⋊C4×C83C2311yescharacteristic
364C2×C4⋊C4×C83C2311yescharacteristic
365C2×C22⋊C4×C83—42no—
366C2×C22⋊C4×C83C2311yescharacteristic
367C2×C22⋊C4×C83C2311yescharacteristic
368C2×C22⋊C4×C83C2311yescharacteristic
369C2×C22⋊C4×C83C2311yescharacteristic
370C2×C22⋊C4×C83C2311yescharacteristic
371C2×C22⋊C4×C83C2311yescharacteristic
372C2×C22⋊C4×C83C2311yescharacteristic
373C2×C22⋊C4×C83C2311yescharacteristic
374C2×C22⋊C4×C83C2311yescharacteristic
375C2×C22⋊C4×C83C2311yescharacteristic
376C2×C22⋊C4×C83C2311yescharacteristic
377C2×C22⋊C4×C83C2311yescharacteristic
378C2×C22⋊C4×C83C2311yescharacteristic
379C2×C22⋊C4×C83C2311yescharacteristic
380C2×C22⋊C4×C83C2311yescharacteristic
381C2×C22⋊C4×C83C2311yescharacteristic
382C2×C22⋊C4×C83C2311yescharacteristic
383C2×C42×C83C2311yescharacteristic
384C2×C42×C83C2311yescharacteristic
385#95×C83C2311yescharacteristic
386#95×C83C2311yescharacteristic
387#95×C83C2311yescharacteristic
388#95×C83C2311yescharacteristic
389#95×C83C2311yescharacteristic
390#95×C83C2311yescharacteristic
391C23×D83—22no—
392C23×D83—22no—
393C23×D83—22no—
394C23×D83—41no—
395C23×D83—41no—
396C23×D83—41no—
397C23×D83—41no—
398C23×D83—41no—
399C23×D83—41no—
400C23×D83—41no—
401C23×D83—41no—
402C23×D83C2×D414yes—
403C23×D83#4114yes—
404C23×D83#4114yes—
405C23×D83C2411yescharacteristic
406C23×D83C2411yescharacteristic
407C23×D83C2411yescharacteristic
408C2×Dic166—22no—
409C2×Dic166—22no—
410C2×Dic166—22no—
411C2×Dic166—41no—
412C2×Dic166—41no—
413C2×Dic166—41no—
414C2×Dic166—41no—
415C2×Dic166—41no—
416C2×Dic166—41no—
417C2×D332—22no—
418C2×D332—22no—
419C2×D332—22no—
420C2×C22⋊D83—22no—
421C2×C22⋊D83—22no—
422C2×C22⋊D83—22no—
423C2×C22⋊D83—22no—
424C2×C22⋊D83—22no—
425C2×C22⋊D83—22no—
426C2×C22⋊D83—22no—
427C2×C22⋊D83—22no—
428C2×C22⋊D83—22no—
429C2×C22⋊D83—22no—
430C2×C22⋊D83—22no—
431C2×C22⋊D83—22no—
432C2×C22⋊D83—22no—
433C2×C22⋊D83—22no—
434C2×C22⋊D83—22no—
435C2×C22⋊D83—22no—
436C2×C22⋊D83—22no—
437C2×C22⋊D83—22no—
438C2×C22⋊D83—22no—
439C2×C22⋊D83—22no—
440C2×C22⋊D83—41no—
441C2×C22⋊D83—41no—
442C2×C22⋊D83—41no—
443C2×C22⋊D83—41no—
444C2×C22⋊D83—416no—
445D4×D83—416no—
446C22×Dic83—22no—
447C22×Dic83—22no—
448C22×Dic83—22no—
449C22×Dic83—22no—
450C22×Dic83—22no—
451C22×Dic83—22no—
452C22×Dic83—41no—
453C22×Dic83—41no—
454C22×Dic83—41no—
455C22×Dic83C2411yescharacteristic
456C22×Dic83C2411yescharacteristic
457C22×Dic83C2411yescharacteristic
458C22×Dic83C2411yescharacteristic
459C22×Dic83C2411yescharacteristic
460C22×Dic83C2411yescharacteristic
461C22×Dic83C2411yescharacteristic
462C22×Dic83C2411yescharacteristic
463C22×Dic83C2411yescharacteristic
464C22×Dic83C2411yescharacteristic
465C22×Dic83C2411yescharacteristic
466C22×Dic83C2411yescharacteristic
467C22×Dic83C2411yescharacteristic
468C2×C4×D83—22no—
469C2×C4×D83—22no—
470C2×C4×D83—22no—
471C2×C4×D83—22no—
472C2×C4×D83—22no—
473C2×C4×D83—22no—
474C2×C4×D83—22no—
475C2×C4×D83—22no—
476C2×C4×D83—22no—
477C2×C4×D83—22no—
478C2×C4×D83—22no—
479C2×C4×D83—22no—
480C2×C4×D83—22no—
481C2×C4×D83—22no—
482C2×C4×D83—22no—
483C2×C4×D83—416no—
484C2×C4×D83—41no—
485C2×C4×D83—41no—
486C2×C4×D83—41no—
487C2×C4×D83—41no—
488C2×C4×D83—41no—
489C2×C4×D83—41no—
490C2×C4×D83—41no—
491C2×C4×D83—41no—
492C2×C4×D83—41no—
493C2×C4×D83—41no—
494C2×C4×D83—41no—
495C2×C4×D83—41no—
496C2×C4×D83—41no—
497C2×C4×D83—41no—
498C2×C4×D83—41no—
499C2×C4×D83—41no—
500C2×C4×D83C2×D414yes—
501C2×C4×D83C2×D414yes—
502C4⋊Dic83—22no—
503C4⋊Dic83—22no—
504C4⋊Dic83—22no—
505C4⋊Dic83—22no—
506C4⋊Dic83—22no—
507Dic83⋊C4—22no—
508Dic83⋊C4—22no—
509Dic83⋊C4—22no—
510Dic83⋊C4—22no—
511Dic83⋊C4—22no—
512Dic83⋊C4—22no—
513Dic83⋊C4—22no—
514Dic83⋊C4—22no—
515C22⋊Dic83—22no—
516C22⋊Dic83—22no—
517C22⋊Dic83—22no—
518C22⋊Dic83—22no—
519C22⋊Dic83—22no—
520C22⋊Dic83—22no—
521C22⋊Dic83—22no—
522C22⋊Dic83—22no—
523C22⋊Dic83—22no—
524C22⋊Dic83—41no—
525C22⋊Dic83—41no—
526C22⋊Dic83—41no—
527C22⋊Dic83—41no—
528C22⋊Dic83—41no—
529C22⋊Dic83—41no—
530C22⋊Dic83—41no—
531C22⋊Dic83—41no—
532C22⋊Dic83—41no—
533C22⋊Dic83C2×D414yes—
534(C2×D83)⋊C4—22no—
535(C2×D83)⋊C4—22no—
536(C2×D83)⋊C4—22no—
537(C2×D83)⋊C4—22no—
538(C2×D83)⋊C4—22no—
539(C2×D83)⋊C4—22no—
540(C2×D83)⋊C4—22no—
541(C2×D83)⋊C4—22no—
542(C2×D83)⋊C4—22no—
543(C2×D83)⋊C4—22no—
544(C2×D83)⋊C4—22no—
545(C2×D83)⋊C4—22no—
546(C2×D83)⋊C4—41no—
547(C2×D83)⋊C4—41no—
548(C2×D83)⋊C4—41no—
549(C2×D83)⋊C4—41no—
550(C2×D83)⋊C4—41no—
551(C2×D83)⋊C4—41no—
552(C2×D83)⋊C4C2×D414yes—
553(C2×D83)⋊C4C2×D414yes—
554C4×Dic83—22no—
555C4×Dic83—22no—
556C4×Dic83—22no—
557C4×Dic83—41no—
558C4×Dic83—41no—
559C4×Dic83—41no—
560C24×C83—22no—
561C24×C83—22no—
562C24×C83—22no—
563C24×C83—41no—
564C24×C83—41no—
565C24×C83—41no—
566C24×C83—41no—
567C24×C83C2411yescharacteristic
568C24×C83C2411yescharacteristic
569C24×C83C2411yescharacteristic
570C24×C83C2411yescharacteristic
571C2×Q8×C83—22no—
572C2×Q8×C83—41no—
573C2×Q8×C83—41no—
574C2×D4×C83—22no—
575C2×D4×C83—22no—
576C2×D4×C83—22no—
577C2×D4×C83—22no—
578C2×D4×C83—22no—
579C2×D4×C83—41no—
580C2×D4×C83—41no—
581C2×D4×C83—41no—
582C2×D4×C83—41no—
583C22×C4×C83—22no—
584C22×C4×C83—22no—
585C22×C4×C83—22no—
586C22×C4×C83—41no—
587C22×C4×C83—41no—
588C22×C4×C83—41no—
589C22×C4×C83C2411yescharacteristic
590C22×C4×C83C2411yescharacteristic
591C22×C4×C83C2411yescharacteristic
592C22×C4×C83C2411yescharacteristic
593C22×C4×C83C2411yescharacteristic
594C22×C4×C83C2411yescharacteristic
595C22×C4×C83C2411yescharacteristic
596C22×C4×C83C2411yescharacteristic
597C22×C4×C83C2411yescharacteristic
598C22×C4×C83C2411yescharacteristic
599C22×C4×C83C2411yescharacteristic
600C4⋊C4×C83—22no—
601C4⋊C4×C83—22no—
602C4⋊C4×C83—22no—
603C22⋊C4×C83—22no—
604C22⋊C4×C83—22no—
605C22⋊C4×C83—22no—
606C22⋊C4×C83—22no—
607C22⋊C4×C83—22no—
608C22⋊C4×C83—22no—
609C22⋊C4×C83—22no—
610C22⋊C4×C83—41no—
611C22⋊C4×C83—41no—
612C22⋊C4×C83—41no—
613C22⋊C4×C83—41no—
614C22⋊C4×C83—41no—
615C22⋊C4×C83—41no—
616C22⋊C4×C83—41no—
617C22⋊C4×C83—41no—
618C22⋊C4×C83—41no—
619C22⋊C4×C83C2×D414yes—
620C42×C83—22no—
621C42×C83—41no—
622C23×C83—21no—
623C23×C83—21no—
624C23×C83—21no—
625C23×C83—21no—
626C23×C83—21no—
627C23×C83—21no—
628C23×C83—21no—
629C23×C83—21no—
630C23×C83—21no—
631C23×C83—21no—
632C23×C83—21no—
633C23×C83—21no—
634C23×C83—21no—
635C23×C83—21no—
636C23×C83—21no—
637C23×C83—21no—
638C23×C83—21no—
639C23×C83—21no—
640C23×C83—21no—
641C23×C83—21no—
642C23×C83—21no—
643C23×C83—21no—
644C23×C83—21no—
645C23×C83—21no—
646C23×C83—21no—
647C23×C83—44no—
648C23×C83—44no—
649C23×C83—44no—
650C23×C83—82no—
651C23×C83—82no—
652C23×C83—82no—
653C23×C83—82no—
654C23×C83C22×D412yes—
655C23×C83C2×#4112yes—
656C23×C83C2×#4112yes—
657C23×C83C2511yescharacteristic
658C22×D83—21no—
659C22×D83—21no—
660C22×D83—21no—
661C22×D83—21no—
662C22×D83—21no—
663C22×D83—21no—
664C22×D83—21no—
665C22×D83—21no—
666C22×D83—21no—
667C22×D83—21no—
668C22×D83—21no—
669C22×D83—21no—
670C22×D83—21no—
671C22×D83—21no—
672C22×D83—21no—
673C22×D83—44no—
674C22×D83—44no—
675C22×D83—44no—
676C22×D83—44no—
677C22×D83—44no—
678C22×D83—44no—
679C22×D83—44no—
680C22×D83—44no—
681C22×D83—44no—
682C22×D83—82no—
683C22×D83—82no—
684C22×D83—82no—
685C22×D83—82no—
686C22×D83#124116yescomplemented
687C22×D83C22×D412yes—
688C22×D83C22×D412yes—
689C22×D83C2×#4112yes—
690C22×D83C2×#4112yes—
691C22×D83C2×#4112yes—
692C22×D83C2×#4112yes—
693Q8×C83—82no—
694D4×C83—44no—
695D4×C83—82no—
696D4×C83—82no—
697C2×C4×C83—21no—
698C2×C4×C83—21no—
699C2×C4×C83—21no—
700C2×C4×C83—21no—
701C2×C4×C83—21no—
702C2×C4×C83—21no—
703C2×C4×C83—21no—
704C2×C4×C83—21no—
705C2×C4×C83—21no—
706C2×C4×C83—21no—
707C2×C4×C83—21no—
708C2×C4×C83—21no—
709C2×C4×C83—21no—
710C2×C4×C83—21no—
711C2×C4×C83—21no—
712C2×C4×C83—21no—
713C2×C4×C83—21no—
714C2×C4×C83—21no—
715C2×C4×C83—21no—
716C2×C4×C83—21no—
717C2×C4×C83—21no—
718C2×C4×C83—21no—
719C2×C4×C83—21no—
720C2×C4×C83—21no—
721C2×C4×C83—21no—
722C2×C4×C83—21no—
723C2×C4×C83—21no—
724C2×C4×C83—21no—
725C2×C4×C83—21no—
726C2×C4×C83—21no—
727C2×C4×C83—44no—
728C2×C4×C83—82no—
729C2×C4×C83C22×D412yes—
730C2×C4×C83C22×D412yes—
731C2×C4×C83H(5,𝔽2)12yes—
732C22⋊D83—44no—
733C22⋊D83—44no—
734C22⋊D83—44no—
735C22⋊D83—44no—
736C22⋊D83—44no—
737C22⋊D83—44no—
738C22⋊D83—82no—
739C22⋊D83—82no—
740C2×Dic83—21no—
741C2×Dic83—21no—
742C2×Dic83—21no—
743C2×Dic83—21no—
744C2×Dic83—21no—
745C2×Dic83—21no—
746C2×Dic83—21no—
747C2×Dic83—21no—
748C2×Dic83—21no—
749C2×Dic83—21no—
750C2×Dic83—21no—
751C2×Dic83—21no—
752C2×Dic83—21no—
753C2×Dic83—21no—
754C2×Dic83—21no—
755C2×Dic83—21no—
756C2×Dic83—21no—
757C2×Dic83—21no—
758C2×Dic83—21no—
759C2×Dic83—21no—
760C2×Dic83—21no—
761C2×Dic83—21no—
762C2×Dic83—21no—
763C2×Dic83—21no—
764C2×Dic83—21no—
765C2×Dic83—21no—
766C2×Dic83—21no—
767C2×Dic83—21no—
768C2×Dic83—21no—
769C2×Dic83—21no—
770C2×Dic83—21no—
771C2×Dic83—21no—
772C2×Dic83—21no—
773C2×Dic83—21no—
774C2×Dic83—21no—
775C2×Dic83—21no—
776C2×Dic83—44no—
777C2×Dic83—44no—
778C2×Dic83—82no—
779C2×Dic83C22×D412yes—
780C2×Dic83C22×D412yes—
781C2×Dic83H(5,𝔽2)12yes—
782D332—44no—
783C4×D83—28no—
784C4×D83—44no—
785C4×D83—44no—
786C4×D83—44no—
787C4×D83—44no—
788C4×D83—44no—
789C4×D83—44no—
790C4×D83—44no—
791C4×D83—44no—
792C4×D83—82no—
793C4×D83—82no—
794Dic166—82no—
795Dic166—82no—
796Dic166—82no—
797C22×C83—22no—
798C22×C83—22no—
799C22×C83—22no—
800C22×C83—22no—
801C22×C83—22no—
802C22×C83—22no—
803C22×C83—41no—
804C22×C83—41no—
805C22×C83—41no—
806C22×C83—41no—
807C22×C83—41no—
808C22×C83—41no—
809C22×C83—41no—
810C22×C83—41no—
811C22×C83—41no—
812C22×C83—41no—
813C22×C83—41no—
814C22×C83—41no—
815C22×C83—41no—
816C22×C83—41no—
817C22×C83—41no—
818C22×C83—41no—
819C22×C83—41no—
820C22×C83—41no—
821C22×C83—41no—
822C22×C83—41no—
823C22×C83—41no—
824C22×C83—88no—
825C22×C83C2×#12414yes—
826C22×C83C23×D411yescharacteristic
827C22×C83C22×#4111yescharacteristic
828C22×C83C22×#4111yescharacteristic
829C22×C83C2×H(5,𝔽2)11yescharacteristic
830C22×C83C2×H(5,𝔽2)11yescharacteristic
831C22×C83#58511yescharacteristic
832C22×C83#58511yescharacteristic
833C2×D83—22no—
834C2×D83—22no—
835C2×D83—22no—
836C2×D83—22no—
837C2×D83—22no—
838C2×D83—22no—
839C2×D83—22no—
840C2×D83—22no—
841C2×D83—22no—
842C2×D83—22no—
843C2×D83—22no—
844C2×D83—22no—
845C2×D83—416no—
846C2×D83—41no—
847C2×D83—41no—
848C2×D83—41no—
849C2×D83—41no—
850C2×D83—41no—
851C2×D83—41no—
852C2×D83—41no—
853C2×D83—88no—
854C2×D83C2×#12414yes—
855C2×D83C2×#12414yes—
856C4×C83—22no—
857C4×C83—22no—
858C4×C83—22no—
859C4×C83—41no—
860C4×C83—41no—
861C4×C83—41no—
862C4×C83—41no—
863C4×C83—41no—
864C4×C83—41no—
865C4×C83—41no—
866C4×C83—41no—
867Dic83—22no—
868Dic83—22no—
869Dic83—22no—
870Dic83—41no—
871Dic83—41no—
872Dic83—41no—
873Dic83—41no—
874Dic83—41no—
875Dic83—41no—
876Dic83—41no—
877Dic83—41no—
878Dic83—41no—
879Dic83—41no—
880#34993—831nomaximal, Sylow
881C2×C83—24no—
882C2×C83—81no—
883C2×C83—81no—
884C2×C83—81no—
885C2×C83C22×#12411yescharacteristic
886C2×C83#345911yescharacteristic
887C2×C83#345911yescharacteristic
888C2×C83#349011yescharacteristic
889C2×C83#349111yescharacteristic
890C2×C83#349611yescharacteristic
891C2×C83#349611yescharacteristic
892D83—24no—
893D83—24no—
894D83—81no—
895C2×#543—831no—
896C2×#534—831no—
897#2850—831no—
898#2850—831no—
899#2850—831no—
900#2850—831no—
901#2639—831no—
902#2639—831no—
903#2639—831no—
904#2639—831no—
905#2488—831no—
906#2488—831no—
907#2488—831no—
908#2488—831no—
909#2488—831no—
910#2488—831no—
911#2488—831no—
912#2488—831no—
913#2472—831no—
914#2472—831no—
915#2472—831no—
916#2472—831no—
917#2472—831no—
918#2472—831no—
919#2472—831no—
920#2472D8311yescharacteristic, complemented
921#2308—831no—
922#2308—831no—
923C2×#386—831no—
924C2×#386—831no—
925C2×C4×C22⋊C4—831no—
926C83#3499311yescharacteristic, complemented, Sylow
927C23×D4—831no—
928C23×D4—831no—
929C24×C4—831no—
930#543—1668no—
931#534—1668no—
932C2×#124—831no—
933C2×#124—831no—
934C2×#124—831no—
935C2×#124C2×D8311yescharacteristic, complemented
936C2×#123—831no—
937C2×#123—831no—
938C2×#123—831no—
939C2×#123—831no—
940C2×C22⋊Q8—831no—
941C2×C22⋊Q8—831no—
942C2×C22⋊Q8—831no—
943C2×C22⋊Q8—831no—
944C2×C22⋊Q8—831no—
945C2×C22⋊Q8—831no—
946C2×C22⋊Q8—831no—
947C2×C22⋊Q8—831no—
948C2×C22⋊Q8—831no—
949C2×C22⋊Q8—831no—
950C2×C22⋊Q8—831no—
951C2×C22⋊Q8C2×D8311yescharacteristic, complemented
952C2×#121—831no—
953C2×#121—831no—
954C2×#121—831no—
955C2×#121—831no—
956C2×#120—831no—
957C2×#120—831no—
958C2×#120—831no—
959C2×#120C2×D8311yescharacteristic
960C22×C22⋊C4—831no—
961C22×C22⋊C4—831no—
962C22×C22⋊C4—831no—
963C22×C22⋊C4—831no—
964C22×C22⋊C4—831no—
965C22×C22⋊C4—831no—
966C22×C22⋊C4—831no—
967C22×C22⋊C4C2×D8311yescharacteristic, complemented
968C22×C42—831no—
969C22×C42—831no—
970#400—831no—
971#400—831no—
972#400—831no—
973#400—831no—
974#400—831no—
975#400—831no—
976#400—831no—
977#400—831no—
978#397—831no—
979#397—831no—
980#397—831no—
981#397—831no—
982#397—831no—
983#397—831no—
984#397—831no—
985#397C2×D8311yescharacteristic, complemented
986#394—831no—
987#394—831no—
988#394—831no—
989#394—831no—
990#394—831no—
991#394—831no—
992#394C2×D8311yescharacteristic, complemented
993#394C2×D8311yescharacteristic, complemented
994#393—831no—
995#393—831no—
996#393—831no—
997#393—831no—
998#393—831no—
999#393—831no—
1000#393—831no—
1001#393C2×D8311yescharacteristic, complemented
1002#391—831no—
1003#391—831no—
1004#391—831no—
1005#391—831no—
1006#390—831no—
1007#390—831no—
1008#390—831no—
1009#390C2×D8311yescharacteristic, complemented
1010#388—831no—
1011#388—831no—
1012#388—831no—
1013#388—831no—
1014#388—831no—
1015#388—831no—
1016#388—831no—
1017#388—831no—
1018#388—831no—
1019#388—831no—
1020#388—831no—
1021#388—831no—
1022#388—831no—
1023#388—831no—
1024#388C2×D8311yescharacteristic, complemented
1025#388C2×D8311yescharacteristic, complemented
1026#386—831no—
1027#386—831no—
1028#386—831no—
1029#386—831no—
1030#386—831no—
1031#386—831no—
1032#386—831no—
1033#386—831no—
1034#386—831no—
1035#386—831no—
1036#386—831no—
1037#386—831no—
1038#386—831no—
1039#386—831no—
1040#386—831no—
1041#386—831no—
1042#386—831no—
1043#386—831no—
1044#386—831no—
1045#386—831no—
1046#386—831no—
1047#386—831no—
1048#386—831no—
1049#386—831no—
1050#386—831no—
1051#386—831no—
1052#386—831no—
1053#386—831no—
1054#386—831no—
1055#386—831no—
1056#386C2×D8311yescharacteristic
1057#386C2×D8311yescharacteristic
1058#382—831no—
1059#382—831no—
1060#382—831no—
1061#382—831no—
1062#381—831no—
1063#381—831no—
1064#381—831no—
1065#381—831no—
1066#379—831no—
1067#379—831no—
1068#379—831no—
1069#379C2×D8311yescharacteristic, complemented
1070C4×C22⋊C4—831no—
1071C4×C22⋊C4—831no—
1072C4×C22⋊C4—831no—
1073C4×C22⋊C4—831no—
1074C4×C22⋊C4—831no—
1075C4×C22⋊C4—831no—
1076C4×C22⋊C4—831no—
1077C4×C22⋊C4C2×D8311yescharacteristic, complemented
1078C2×#95—831no—
1079C2×#95—831no—
1080C2×#95—831no—
1081C2×#95—831no—
1082C2×#95—831no—
1083C2×#95—831no—
1084C25—831no—
1085C25—831no—
1086C25C22×D8311yescharacteristic
1087C22×Q8—831no—
1088C22×Q8—831no—
1089C22×Q8—831no—
1090C22×Q8C22×D8311yescharacteristic
1091C22×D4—831no—
1092C22×D4—831no—
1093C22×D4—831no—
1094C22×D4—831no—
1095C22×D4—831no—
1096C22×D4—831no—
1097C22×D4—831no—
1098C22×D4—831no—
1099C22×D4—831no—
1100C22×D4—1664no—
1101C22×D4—1664no—
1102C22×D4—1664no—
1103C22×D4—1664no—
1104C22×D4—1664no—
1105C22×D4—1664no—
1106C22×D4C22×D8311yescharacteristic
1107C22×D4C22×D8311yescharacteristic
1108C22×D4C22×D8311yescharacteristic
1109C23×C4—3322no—
1110C23×C4—3322no—
1111C23×C4—831no—
1112C23×C4—831no—
1113C23×C4—831no—
1114C23×C4—831no—
1115C23×C4—831no—
1116C23×C4—831no—
1117C23×C4—831no—
1118C23×C4—831no—
1119C23×C4—831no—
1120C23×C4—831no—
1121C23×C4—831no—
1122C23×C4—831no—
1123C23×C4—831no—
1124C23×C4—831no—
1125C23×C4—1664no—
1126C23×C4C22×D8311yescharacteristic
1127C23×C4C22×D8311yescharacteristic
1128#124—42no—
1129#124—3322no—
1130#124—3322no—
1131#124—3322no—
1132#123—1664no—
1133#123—1664no—
1134#123—1664no—
1135#123—1664no—
1136C22⋊Q8—24no—
1137C22⋊Q8—1664no—
1138C22⋊Q8—1664no—
1139C22⋊Q8—1664no—
1140C22⋊Q8—1664no—
1141C22⋊Q8—1664no—
1142C22⋊Q8—1664no—
1143C22⋊Q8—1664no—
1144C22⋊Q8—1664no—
1145C22⋊Q8—1664no—
1146C22⋊Q8—1664no—
1147C22⋊Q8—1664no—
1148#121—1664no—
1149#121—1664no—
1150#121—1664no—
1151#121—1664no—
1152#120—24no—
1153#120—1664no—
1154#120—1664no—
1155#120—1664no—
1156C2×C4⋊C4—831no—
1157C2×C4⋊C4—831no—
1158C2×C4⋊C4—831no—
1159C2×C4⋊C4—831no—
1160C2×C4⋊C4—831no—
1161C2×C4⋊C4—831no—
1162C2×C4⋊C4—831no—
1163C2×C4⋊C4—831no—
1164C2×C4⋊C4—831no—
1165C2×C4⋊C4—831no—
1166C2×C4⋊C4—831no—
1167C2×C4⋊C4—831no—
1168C2×C4⋊C4—831no—
1169C2×C4⋊C4C22×D8311yescharacteristic
1170C2×C4⋊C4C22×D8311yescharacteristic
1171C2×C4⋊C4C22×D8311yescharacteristic
1172C2×C22⋊C4—42no—
1173C2×C22⋊C4—3322no—
1174C2×C22⋊C4—3322no—
1175C2×C22⋊C4—3322no—
1176C2×C22⋊C4—831no—
1177C2×C22⋊C4—831no—
1178C2×C22⋊C4—831no—
1179C2×C22⋊C4—831no—
1180C2×C22⋊C4—831no—
1181C2×C22⋊C4—831no—
1182C2×C22⋊C4—831no—
1183C2×C22⋊C4—831no—
1184C2×C22⋊C4—831no—
1185C2×C22⋊C4—831no—
1186C2×C22⋊C4—831no—
1187C2×C22⋊C4—831no—
1188C2×C22⋊C4—831no—
1189C2×C22⋊C4—831no—
1190C2×C22⋊C4—831no—
1191C2×C22⋊C4—831no—
1192C2×C22⋊C4—831no—
1193C2×C22⋊C4—831no—
1194C2×C22⋊C4—838no—
1195C2×C22⋊C4—831no—
1196C2×C22⋊C4—831no—
1197C2×C22⋊C4—831no—
1198C2×C22⋊C4—831no—
1199C2×C22⋊C4—831no—
1200C2×C22⋊C4—831no—
1201C2×C22⋊C4—831no—
1202C2×C22⋊C4—831no—
1203C2×C22⋊C4—831no—
1204C2×C22⋊C4—831no—
1205C2×C22⋊C4—831no—
1206C2×C22⋊C4—831no—
1207C2×C22⋊C4—831no—
1208C2×C22⋊C4—831no—
1209C2×C22⋊C4—831no—
1210C2×C22⋊C4—831no—
1211C2×C22⋊C4—831no—
1212C2×C22⋊C4—831no—
1213C2×C22⋊C4—831no—
1214C2×C22⋊C4—831no—
1215C2×C22⋊C4—831no—
1216C2×C22⋊C4—1664no—
1217C2×C22⋊C4—1664no—
1218C2×C22⋊C4—1664no—
1219C2×C22⋊C4C22×D8311yescharacteristic
1220C2×C22⋊C4C22×D8311yescharacteristic
1221C2×C22⋊C4C22×D8311yescharacteristic
1222C2×C22⋊C4C22×D8311yescharacteristic
1223C2×C22⋊C4C22×D8311yescharacteristic
1224C2×C22⋊C4C22×D8311yescharacteristic
1225C2×C22⋊C4C22×D8311yescharacteristic
1226C2×C22⋊C4C22×D8311yescharacteristic
1227C2×C22⋊C4C22×D8311yescharacteristic
1228C2×C22⋊C4C22×D8311yescharacteristic
1229C2×C22⋊C4C22×D8311yescharacteristic
1230C2×C22⋊C4C22×D8311yescharacteristic
1231C2×C22⋊C4C22×D8311yescharacteristic
1232C2×C22⋊C4C22×D8311yescharacteristic
1233C2×C22⋊C4C22×D8311yescharacteristic
1234C2×C22⋊C4C22×D8311yescharacteristic
1235C2×C22⋊C4C22×D8311yescharacteristic
1236C2×C42—3322no—
1237C2×C42—3322no—
1238C2×C42—831no—
1239C2×C42—831no—
1240C2×C42—831no—
1241C2×C42—831no—
1242C2×C42—831no—
1243C2×C42—831no—
1244C2×C42C22×D8311yescharacteristic
1245C2×C42C22×D8311yescharacteristic
1246#95—831no—
1247#95—831no—
1248#95—831no—
1249#95—831no—
1250#95—831no—
1251#95—831no—
1252#95—831no—
1253#95—831no—
1254#95—831no—
1255#95—831no—
1256#95—831no—
1257#95—831no—
1258#95—831no—
1259#95—831no—
1260#95—831no—
1261#95—831no—
1262#95—831no—
1263#95—831no—
1264#95—831no—
1265#95—831no—
1266#95—831no—
1267#95—831no—
1268#95—831no—
1269#95—831no—
1270#95—831no—
1271#95—831no—
1272#95—831no—
1273#95—831no—
1274#95—831no—
1275#95—831no—
1276#95—831no—
1277#95—831no—
1278#95—831no—
1279#95—831no—
1280#95C22×D8311yescharacteristic
1281#95C22×D8311yescharacteristic
1282#95C22×D8311yescharacteristic
1283#95C22×D8311yescharacteristic
1284#95C22×D8311yescharacteristic
1285#95C22×D8311yescharacteristic
1286C24—22no—
1287C24—22no—
1288C24—22no—
1289C24—41no—
1290C24—41no—
1291C24—41no—
1292C24—41no—
1293C24—3321no—
1294C24—3321no—
1295C24—3321no—
1296C24—3321no—
1297C24—3321no—
1298C24—3321no—
1299C24—3321no—
1300C24—3321no—
1301C24—834no—
1302C24—834no—
1303C24—834no—
1304C24—831no—
1305C24—831no—
1306C24—831no—
1307C24—1662no—
1308C24—1662no—
1309C24—1662no—
1310C24C23×D8311yescharacteristic
1311C24C23×D8311yescharacteristic
1312C24C23×D8311yescharacteristic
1313C24C23×D8311yescharacteristic
1314C2×Q8—22no—
1315C2×Q8—41no—
1316C2×Q8—41no—
1317C2×Q8—3321no—
1318C2×Q8—3321no—
1319C2×Q8—3321no—
1320C2×Q8—3321no—
1321C2×Q8—3321no—
1322C2×Q8—3321no—
1323C2×Q8—1662no—
1324C2×Q8—1662no—
1325C2×Q8—1662no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—33216no—
1336C2×D4—33216no—
1337C2×D4—3321no—
1338C2×D4—3321no—
1339C2×D4—3321no—
1340C2×D4—3321no—
1341C2×D4—1662no—
1342C2×D4—1662no—
1343C2×D4—1662no—
1344C2×D4—1662no—
1345C2×D4—1662no—
1346C2×D4—1662no—
1347C2×D4—1662no—
1348C2×D4—1662no—
1349C2×D4—1662no—
1350C2×D4—1662no—
1351C2×D4—1662no—
1352C2×D4—1662no—
1353C2×D4—1662no—
1354C2×D4—1662no—
1355C2×D4—1662no—
1356C2×D4—1662no—
1357C2×D4—1662no—
1358C2×D4—1662no—
1359C2×D4—1662no—
1360C2×D4—1662no—
1361C2×D4—1662no—
1362C2×D4—1662no—
1363C2×D4—1662no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—3321no—
1371C22×C4—3321no—
1372C22×C4—3321no—
1373C22×C4—3321no—
1374C22×C4—3321no—
1375C22×C4—3321no—
1376C22×C4—3321no—
1377C22×C4—3321no—
1378C22×C4—3321no—
1379C22×C4—3321no—
1380C22×C4—3321no—
1381C22×C4—3321no—
1382C22×C4—3321no—
1383C22×C4—3321no—
1384C22×C4—3321no—
1385C22×C4—3321no—
1386C22×C4—33216no—
1387C22×C4—3321no—
1388C22×C4—3321no—
1389C22×C4—3321no—
1390C22×C4—834no—
1391C22×C4—834no—
1392C22×C4—831no—
1393C22×C4—831no—
1394C22×C4—831no—
1395C22×C4—831no—
1396C22×C4—831no—
1397C22×C4—831no—
1398C22×C4—831no—
1399C22×C4—831no—
1400C22×C4—831no—
1401C22×C4—831no—
1402C22×C4—831no—
1403C22×C4—831no—
1404C22×C4—831no—
1405C22×C4—1662no—
1406C22×C4—1662no—
1407C22×C4—1662no—
1408C22×C4—1662no—
1409C22×C4—1662no—
1410C22×C4—1662no—
1411C22×C4—1662no—
1412C22×C4—1662no—
1413C22×C4—1662no—
1414C22×C4—1662no—
1415C22×C4—1662no—
1416C22×C4—1662no—
1417C22×C4—1662no—
1418C22×C4—1662no—
1419C22×C4—1662no—
1420C22×C4—1662no—
1421C22×C4—1662no—
1422C22×C4—1662no—
1423C22×C4—1662no—
1424C22×C4—1662no—
1425C22×C4—1662no—
1426C22×C4C23×D8311yescharacteristic
1427C22×C4C23×D8311yescharacteristic
1428C22×C4C23×D8311yescharacteristic
1429C22×C4C23×D8311yescharacteristic
1430C22×C4C23×D8311yescharacteristic
1431C22×C4C23×D8311yescharacteristic
1432C22×C4C23×D8311yescharacteristic
1433C22×C4C23×D8311yescharacteristic
1434C22×C4C23×D8311yescharacteristic
1435C22×C4C23×D8311yescharacteristic
1436C22×C4C23×D8311yescharacteristic
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—1662no—
1441C4⋊C4—1662no—
1442C4⋊C4—1662no—
1443C4⋊C4—1662no—
1444C4⋊C4—1662no—
1445C4⋊C4—1662no—
1446C4⋊C4—1662no—
1447C4⋊C4—1662no—
1448C4⋊C4—1662no—
1449C4⋊C4—1662no—
1450C4⋊C4—1662no—
1451C4⋊C4—1662no—
1452C4⋊C4—1662no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—3321no—
1470C22⋊C4—3321no—
1471C22⋊C4—3321no—
1472C22⋊C4—3321no—
1473C22⋊C4—3321no—
1474C22⋊C4—3321no—
1475C22⋊C4—3321no—
1476C22⋊C4—3321no—
1477C22⋊C4—3321no—
1478C22⋊C4—3321no—
1479C22⋊C4—3321no—
1480C22⋊C4—3321no—
1481C22⋊C4—3321no—
1482C22⋊C4—3321no—
1483C22⋊C4—3321no—
1484C22⋊C4—834no—
1485C22⋊C4—834no—
1486C22⋊C4—834no—
1487C22⋊C4—1662no—
1488C22⋊C4—1662no—
1489C22⋊C4—1662no—
1490C22⋊C4—1662no—
1491C22⋊C4—1662no—
1492C22⋊C4—1662no—
1493C22⋊C4—1662no—
1494C22⋊C4—1662no—
1495C22⋊C4—1662no—
1496C22⋊C4—1662no—
1497C22⋊C4—1662no—
1498C22⋊C4—1662no—
1499C22⋊C4—1662no—
1500C22⋊C4—1662no—
1501C22⋊C4—1662no—
1502C22⋊C4—1662no—
1503C22⋊C4—1662no—
1504C22⋊C4—1662no—
1505C22⋊C4—1662no—
1506C22⋊C4—1662no—
1507C22⋊C4—1662no—
1508C22⋊C4D4×D8314yes—
1509C42—22no—
1510C42—41no—
1511C42—3321no—
1512C42—3321no—
1513C42—3321no—
1514C42—1662no—
1515C42—1662no—
1516C42—1662no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—44no—
1543C23—44no—
1544C23—44no—
1545C23—82no—
1546C23—82no—
1547C23—82no—
1548C23—82no—
1549C23—3324no—
1550C23—3324no—
1551C23—3324no—
1552C23—3324no—
1553C23—3324no—
1554C23—3324no—
1555C23—3324no—
1556C23—3324no—
1557C23—3324no—
1558C23—8316no—
1559C23—832no—
1560C23—832no—
1561C23—832no—
1562C23—832no—
1563C23—832no—
1564C23—832no—
1565C23—6642no—
1566C23—6642no—
1567C23—6642no—
1568C23—6642no—
1569C23—1661no—
1570C23—1661no—
1571C23—1661no—
1572C23—1661no—
1573C23—1661no—
1574C23—1661no—
1575C23—1661no—
1576C23—1661no—
1577C23—1661no—
1578C23—1661no—
1579C23—1661no—
1580C23—1661no—
1581C23—1661no—
1582C23—1661no—
1583C23—1661no—
1584C23C2×D4×D8312yes—
1585C23#41×D8312yes—
1586C23#41×D8312yes—
1587C23C24×D8311yescharacteristic
1588Q8—82no—
1589Q8—6642no—
1590Q8—6642no—
1591Q8—6642no—
1592D4—44no—
1593D4—82no—
1594D4—82no—
1595D4—3324no—
1596D4—3324no—
1597D4—3324no—
1598D4—3324no—
1599D4—3324no—
1600D4—3324no—
1601D4—3324no—
1602D4—6642no—
1603D4—6642no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—44no—
1635C2×C4—82no—
1636C2×C4—3324no—
1637C2×C4—3324no—
1638C2×C4—3324no—
1639C2×C4—3324no—
1640C2×C4—3324no—
1641C2×C4—3324no—
1642C2×C4—3324no—
1643C2×C4—3324no—
1644C2×C4—3324no—
1645C2×C4—3324no—
1646C2×C4—832no—
1647C2×C4—832no—
1648C2×C4—832no—
1649C2×C4—6642no—
1650C2×C4—6642no—
1651C2×C4—6642no—
1652C2×C4—1668no—
1653C2×C4—1661no—
1654C2×C4—1661no—
1655C2×C4—1661no—
1656C2×C4—1661no—
1657C2×C4—1661no—
1658C2×C4—1661no—
1659C2×C4—1661no—
1660C2×C4—1661no—
1661C2×C4—1661no—
1662C2×C4—1661no—
1663C2×C4—1661no—
1664C2×C4—1661no—
1665C2×C4—1661no—
1666C2×C4—1661no—
1667C2×C4—1661no—
1668C2×C4—1661no—
1669C2×C4—1661no—
1670C2×C4—1661no—
1671C2×C4—1661no—
1672C2×C4—1661no—
1673C2×C4—1661no—
1674C2×C4—1661no—
1675C2×C4—1661no—
1676C2×C4—1661no—
1677C2×C4—1661no—
1678C2×C4—1661no—
1679C2×C4—1661no—
1680C2×C4—1661no—
1681C2×C4—1661no—
1682C2×C4—1661no—
1683C2×C4—1661no—
1684C2×C4—1661no—
1685C2×C4—1661no—
1686C2×C4—1661no—
1687C2×C4—1661no—
1688C2×C4—1661no—
1689C2×C4C2×D4×D8312yes—
1690C2×C4C2×D4×D8312yes—
1691C2×C4#1458183712yes—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—88no—
1720C22—33216no—
1721C22—3321no—
1722C22—3321no—
1723C22—3321no—
1724C22—3321no—
1725C22—3321no—
1726C22—3321no—
1727C22—3321no—
1728C22—834no—
1729C22—834no—
1730C22—6648no—
1731C22—1662no—
1732C22—1662no—
1733C22—1662no—
1734C22—1662no—
1735C22—1662no—
1736C22—1662no—
1737C22—1662no—
1738C22—1662no—
1739C22—1662no—
1740C22—1662no—
1741C22—1662no—
1742C22—1662no—
1743C22#124×D8314yes—
1744C22C22×D4×D8311yescharacteristic
1745C22C2×#41×D8311yescharacteristic
1746C22C2×#41×D8311yescharacteristic
1747C22H(5,𝔽2)×D8311yescharacteristic
1748C22C2×#1458183711yescharacteristic
1749C22#1912853611yescharacteristic
1750C22#1912853711yescharacteristic
1751C4—22no—
1752C4—22no—
1753C4—22no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—3321no—
1763C4—3321no—
1764C4—3321no—
1765C4—3321no—
1766C4—3321no—
1767C4—3321no—
1768C4—3321no—
1769C4—3321no—
1770C4—3321no—
1771C4—3321no—
1772C4—1662no—
1773C4—1662no—
1774C4—1662no—
1775C2—24no—
1776C2—81no—
1777C2—81no—
1778C2—81no—
1779C2—6641no—
1780C2—1664no—
1781C2—1664no—
1782C2C2×#124×D8311yescharacteristic
1783C2#2492087011yescharacteristic
1784C2#2492087411yescharacteristic
1785C2#2492114511yescharacteristic
1786C2#2492115411yescharacteristic
1787C2#2492121911yescharacteristic
1788C2#2492122311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2472C2
prime radicalC2×#19128261C2
hypercenter#2472D83
hypocenterC83#34993
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. C2×#19128326C2semidirect
3. #24915763C2semidirect
4. #24915761C2semidirect
5. #24915761C2semidirect
6. #24915759C2semidirect
7. #24913394C2semidirect
8. #24913394C2semidirect
9. #24913392C2semidirect
10. #24913390C2semidirect
11. #24911795C2semidirect
12. #24911794C2semidirect
13. #24911792C2semidirect
14. #24911791C2semidirect
15. #24911788C2semidirect
16. #24911787C2semidirect
17. #24911783C2semidirect
18. #24911782C2semidirect
19. #24911595C2semidirect
20. #24911590C2semidirect
21. #24911588C2semidirect
22. #24911586C2semidirect
23. #24911585C2semidirect
24. #24911584C2semidirect
25. #24911583C2semidirect
26. #24910039C2semidirect
27. #24910037C2semidirect
28. C2×#19127577C2semidirect
29. #386×D83C2semidirect
30. C4×C22⋊C4×D83C2semidirect
31. C83×#2472C2semidirect
37. C2×#14581779C22semidirect
38. C2×#14581778C22semidirect
39. C2×#14581778C22semidirect
44. C2×#14581772C22semidirect
45. C2×#14581772C22semidirect
46. C2×#14581771C22semidirect
47. C2×#14581770C22semidirect
48. C2×#14581770C22semidirect
49. C2×#14581770C22semidirect
50. C2×#14581770C22semidirect
51. C2×#14581769C22semidirect
52. C2×#14581769C22semidirect
53. C2×#14581768C22semidirect
54. C2×#14581768C22semidirect
62. C22×C22⋊Dic83C22semidirect
67. C2×C22⋊C4×D83C22semidirect
68. C2×C22⋊C4×D83C22semidirect
69. C2×C42×D83C22semidirect
70. C2×C42×D83C22semidirect
71. #19127643C22semidirect
72. #19127643C22semidirect
73. #19127642C22semidirect
74. #19127642C22semidirect
75. #19127641C22semidirect
76. #19127641C22semidirect
77. #19127640C22semidirect
78. #19127640C22semidirect
79. #19127629C22semidirect
80. #19127629C22semidirect
81. #19127629C22semidirect
82. #19127629C22semidirect
83. #19127628C22semidirect
84. #19127627C22semidirect
85. #19127626C22semidirect
86. #19127617C22semidirect
87. #19127617C22semidirect
88. #19127616C22semidirect
89. #19127616C22semidirect
90. #19127615C22semidirect
91. #19127615C22semidirect
92. #19127614C22semidirect
93. #19127613C22semidirect
94. #19127613C22semidirect
95. #19127613C22semidirect
96. #19127613C22semidirect
97. #19127613C22semidirect
98. #19127612C22semidirect
99. #19127608C22semidirect
100. #19127607C22semidirect
101. #19127605C22semidirect
102. #19127605C22semidirect
103. #19127604C22semidirect
104. #19127601C22semidirect
105. #19127601C22semidirect
106. #19127595C22semidirect
107. #19127595C22semidirect
108. #19127594C22semidirect
109. #19127594C22semidirect
110. #19127594C22semidirect
111. #19127594C22semidirect
112. #19127592C22semidirect
113. #19127592C22semidirect
114. #19127591C22semidirect
115. #19127591C22semidirect
116. #19127589C22semidirect
117. #19127589C22semidirect
118. #19127589C22semidirect
119. #19127589C22semidirect
124. #19127579C22semidirect
125. #19127579C22semidirect
126. #19127579C22semidirect
127. #19127579C22semidirect
138. #19127577C22semidirect
139. #19127577C22semidirect
140. #19127577C22semidirect
141. #19127577C22semidirect
142. #19127577C22semidirect
143. #19127577C22semidirect
144. #19127577C22semidirect
145. #19127577C22semidirect
146. #19127577C22semidirect
147. #19127577C22semidirect
148. #19127577C22semidirect
149. #19127577C22semidirect
150. #19127567C22semidirect
151. #19127566C22semidirect
152. #19127565C22semidirect
153. #19127565C22semidirect
154. #19127563C22semidirect
155. #19127563C22semidirect
156. #19127562C22semidirect
157. #19127562C22semidirect
158. #19127557C22semidirect
159. #19127556C22semidirect
160. #19127556C22semidirect
161. C22⋊C4×Dic83C22semidirect
162. C22⋊C4×Dic83C22semidirect
163. C4×(C2×D83)⋊C4C22semidirect
164. C4×(C2×D83)⋊C4C22semidirect
165. C4×C22⋊Dic83C22semidirect
166. #19127548C22semidirect
167. #19127548C22semidirect
168. C2×C83⋊#95C22semidirect
169. C2×C83⋊#95C22semidirect
170. #95×D83C22semidirect
171. #95×D83C22semidirect
172. #95×D83C22semidirect
173. #95×D83C22semidirect
174. C2×#124×C83C22semidirect
175. C2×C22⋊Q8×C83C22semidirect
177. C22×C22⋊C4×C83C22semidirect
178. #397×C83C22semidirect
179. #394×C83C22semidirect
180. #394×C83C22semidirect
181. #393×C83C22semidirect
182. #390×C83C22semidirect
183. #388×C83C22semidirect
184. #388×C83C22semidirect
187. #379×C83C22semidirect
188. C4×C22⋊C4×C83C22semidirect
686. C22×D83#124semidirect
920. #2472D83semidirect
926. C83#34993semidirect
935. C2×#124C2×D83semidirect
951. C2×C22⋊Q8C2×D83semidirect
967. C22×C22⋊C4C2×D83semidirect
985. #397C2×D83semidirect
992. #394C2×D83semidirect
993. #394C2×D83semidirect
1001. #393C2×D83semidirect
1009. #390C2×D83semidirect
1024. #388C2×D83semidirect
1025. #388C2×D83semidirect
1069. #379C2×D83semidirect
1077. C4×C22⋊C4C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283262
C2×#191282612
#249157632
#249157612
#249157592
#249133942
#249133922
#249133902
#249117952
#249117942
#249117922
#249117912
#249117882
#249117872
#249117832
#249117822
#249115952
#249115902
#249115882
#249115862
#249115852
#249115842
#249115832
#249100392
#249100372
C2×#191275772
#386×D832
C4×C22⋊C4×D832
C83×#24722
#3499383