Finite Group Databasebeta

← #35612273

Subgroups — #35612273

Order 21248.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915748C211yesmaximal, characteristic, complemented
2#24915743C211yesmaximal, characteristic, complemented
3#24915326C211yesmaximal, characteristic, complemented
4#24915119C211yesmaximal, characteristic, complemented
5#24915089C211yesmaximal, characteristic, complemented
6#24915083C211yesmaximal, characteristic, complemented
7#24915074C211yesmaximal, characteristic, complemented
8#24914778C211yesmaximal, characteristic, complemented
9#24914742C211yesmaximal, characteristic, complemented
10#24914688C211yesmaximal, characteristic, complemented
11#24914583C211yesmaximal, characteristic, complemented
12#24914462C211yesmaximal, characteristic, complemented
13#24914261C211yesmaximal, characteristic, complemented
14#24914099C211yesmaximal, characteristic, complemented
15#24914084C211yesmaximal, characteristic, complemented
16#24914019C211yesmaximal, characteristic, complemented
17#24913905C211yesmaximal, characteristic, complemented
18#24913757C211yesmaximal, characteristic, complemented
19#24913175C211yesmaximal, characteristic, complemented
20#24911844C211yesmaximal, characteristic, complemented
21#24911785C211yesmaximal, characteristic, complemented
22#24911706C211yesmaximal, characteristic, complemented
23#24911588C211yesmaximal, characteristic, complemented
24#24911010C211yesmaximal, characteristic, complemented
25#24911003C211yesmaximal, characteristic, complemented
26#24910936C211yesmaximal, characteristic, complemented
27#24910929C211yesmaximal, characteristic, complemented
28#24910124C211yesmaximal, characteristic, complemented
29#24910118C211yesmaximal, characteristic, complemented
30C2×#19127581C211yesmaximal, characteristic, complemented
31C83×#2613C211yesmaximal, characteristic, complemented
32C24×Dic83C2211yescharacteristic
33C2×#14581785C2211yescharacteristic, complemented
34C2×#14581779C2211yescharacteristic, complemented
35C2×#14581775C2211yescharacteristic
36C2×#14581774C2211yescharacteristic, complemented
37C2×#14581769C2211yescharacteristic
38C2×#14581769C2211yescharacteristic, complemented
39C2×#14581769C2211yescharacteristic, complemented
40C2×#14581764C2211yescharacteristic
41C2×#14581764C2211yescharacteristic, complemented
42C2×#14581764C2211yescharacteristic, complemented
43C2×#14581764C2211yescharacteristic, complemented
44C2×#14581761C2211yescharacteristic
45C2×#14581761C2211yescharacteristic
46C2×D4×Dic83C2211yescharacteristic
47C2×(C22⋊D83)⋊C4C2211yescharacteristic
48C22×C22⋊Dic83C2211yescharacteristic
49C22×C22⋊Dic83C2211yescharacteristic
50C22×C22⋊Dic83C2211yescharacteristic
51C83⋊#401C2211yescharacteristic, complemented
52#19127643C2211yescharacteristic, complemented
53#19127643C2211yescharacteristic, complemented
54#19127642C2211yescharacteristic, complemented
55#19127642C2211yescharacteristic, complemented
56#19127641C2211yescharacteristic, complemented
57#19127640C2211yescharacteristic, complemented
58#19127637C2211yescharacteristic, complemented
59#19127632C2211yescharacteristic, complemented
60#19127631C2211yescharacteristic, complemented
61#19127630C2211yescharacteristic, complemented
62#19127629C2211yescharacteristic, complemented
63#19127629C2211yescharacteristic, complemented
64#19127629C2211yescharacteristic, complemented
65#19127629C2211yescharacteristic, complemented
66#19127629C2211yescharacteristic, complemented
67#19127627C2211yescharacteristic, complemented
68#19127626C2211yescharacteristic, complemented
69#19127626C2211yescharacteristic, complemented
70#19127624C2211yescharacteristic, complemented
71#19127624C2211yescharacteristic, complemented
72#19127624C2211yescharacteristic, complemented
73#19127617C2211yescharacteristic, complemented
74#19127617C2211yescharacteristic, complemented
75#19127617C2211yescharacteristic, complemented
76#19127616C2211yescharacteristic, complemented
77#19127615C2211yescharacteristic
78#19127615C2211yescharacteristic
79#19127615C2211yescharacteristic
80#19127615C2211yescharacteristic
81#19127615C2211yescharacteristic, complemented
82#19127615C2211yescharacteristic, complemented
83#19127615C2211yescharacteristic, complemented
84#19127614C2211yescharacteristic, complemented
85#19127613C2211yescharacteristic, complemented
86#19127609C2211yescharacteristic
87#19127609C2211yescharacteristic
88#19127609C2211yescharacteristic
89#19127609C2211yescharacteristic
90#19127609C2211yescharacteristic, complemented
91#19127605C2211yescharacteristic, complemented
92#19127604C2211yescharacteristic, complemented
93#19127604C2211yescharacteristic, complemented
94#19127604C2211yescharacteristic, complemented
95#19127601C2211yescharacteristic, complemented
96#19127601C2211yescharacteristic, complemented
97#19127601C2211yescharacteristic, complemented
98#19127597C2211yescharacteristic, complemented
99#19127595C2211yescharacteristic, complemented
100#19127595C2211yescharacteristic, complemented
101#19127595C2211yescharacteristic, complemented
102#19127595C2211yescharacteristic, complemented
103#19127595C2211yescharacteristic, complemented
104#19127595C2211yescharacteristic, complemented
105#19127595C2211yescharacteristic, complemented
106#19127594C2211yescharacteristic, complemented
107#19127594C2211yescharacteristic, complemented
108#19127594C2211yescharacteristic, complemented
109#19127594C2211yescharacteristic, complemented
110#19127594C2211yescharacteristic, complemented
111#19127594C2211yescharacteristic, complemented
112#19127593C2211yescharacteristic, complemented
113#19127590C2211yescharacteristic, complemented
114#19127589C2211yescharacteristic, complemented
115#19127589C2211yescharacteristic, complemented
116#19127589C2211yescharacteristic, complemented
117#19127589C2211yescharacteristic, complemented
118#19127588C2211yescharacteristic, complemented
119#19127586C2211yescharacteristic, complemented
120#19127583C2211yescharacteristic, complemented
121#19127582C2211yescharacteristic, complemented
122#19127582C2211yescharacteristic, complemented
123#19127581C2211yescharacteristic
124#19127581C2211yescharacteristic
125#19127581C2211yescharacteristic
126#19127581C2211yescharacteristic
127#19127581C2211yescharacteristic
128#19127581C2211yescharacteristic
129#19127581C2211yescharacteristic
130#19127581C2211yescharacteristic
131#19127581C2211yescharacteristic
132#19127581C2211yescharacteristic
133#19127581C2211yescharacteristic, complemented
134#19127581C2211yescharacteristic, complemented
135#19127581C2211yescharacteristic, complemented
136#19127581C2211yescharacteristic, complemented
137#19127581C2211yescharacteristic, complemented
138#19127578C2211yescharacteristic
139#19127578C2211yescharacteristic
140#19127578C2211yescharacteristic, complemented
141#19127578C2211yescharacteristic, complemented
142#19127577C2211yescharacteristic, complemented
143#19127577C2211yescharacteristic, complemented
144#19127577C2211yescharacteristic, complemented
145#19127577C2211yescharacteristic, complemented
146#19127576C2211yescharacteristic
147#19127576C2211yescharacteristic
148#19127576C2211yescharacteristic, complemented
149#19127576C2211yescharacteristic, complemented
150#19127573C2211yescharacteristic
151#19127573C2211yescharacteristic
152#19127573C2211yescharacteristic, complemented
153#19127573C2211yescharacteristic, complemented
154#19127573C2211yescharacteristic, complemented
155#19127568C2211yescharacteristic, complemented
156#19127565C2211yescharacteristic, complemented
157#19127564C2211yescharacteristic
158#19127562C2211yescharacteristic, complemented
159#19127559C2211yescharacteristic
160#19127559C2211yescharacteristic
161#19127559C2211yescharacteristic, complemented
162#19127559C2211yescharacteristic, complemented
163#19127559C2211yescharacteristic, complemented
164#19127559C2211yescharacteristic, complemented
165#19127558C2211yescharacteristic, complemented
166#19127557C2211yescharacteristic
167#19127557C2211yescharacteristic
168C22⋊C4×Dic83C2211yescharacteristic
169C22⋊C4×Dic83C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172C23×D4×C83C2211yescharacteristic
173C2×#123×C83C2211yescharacteristic
174C2×#120×C83C2211yescharacteristic
175C2×#120×C83C2211yescharacteristic
176#394×C83C2211yescharacteristic
177#394×C83C2211yescharacteristic
178#394×C83C2211yescharacteristic
179#394×C83C2211yescharacteristic
180#392×C83C2211yescharacteristic
181#392×C83C2211yescharacteristic
182#392×C83C2211yescharacteristic
183#392×C83C2211yescharacteristic
184#381×C83C2211yescharacteristic
185#379×C83C2211yescharacteristic
186#379×C83C2211yescharacteristic
187C22×Dic166C2311yescharacteristic
188C22×C22⋊D83C2311yescharacteristic
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
205C23×Dic83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207#14581785—42no—
208#14581779—42no—
209#14581775—42no—
210#14581774—42no—
211#14581769—42no—
212#14581769—42no—
213#14581769—42no—
214#14581764—42no—
215#14581764—42no—
216#14581764—42no—
217#14581764—42no—
218#14581761—24no—
219#14581761—42no—
220D4×Dic83—42no—
221(C22⋊D83)⋊C4—42no—
222C2×C4⋊Dic83C2311yescharacteristic
223C2×C4⋊Dic83C2311yescharacteristic
224C2×C4⋊Dic83C2311yescharacteristic
225C2×C4⋊Dic83C2311yescharacteristic
226C2×C4⋊Dic83C2311yescharacteristic
227C2×C4⋊Dic83C2311yescharacteristic
228C2×Dic83⋊C4C2311yescharacteristic
229C2×Dic83⋊C4C2311yescharacteristic
230C2×Dic83⋊C4C2311yescharacteristic
231C2×Dic83⋊C4C2311yescharacteristic
232C2×Dic83⋊C4C2311yescharacteristic
233C2×Dic83⋊C4C2311yescharacteristic
234C2×Dic83⋊C4C2311yescharacteristic
235C2×Dic83⋊C4C2311yescharacteristic
236C2×Dic83⋊C4C2311yescharacteristic
237C2×Dic83⋊C4C2311yescharacteristic
238C2×Dic83⋊C4C2311yescharacteristic
239C2×Dic83⋊C4C2311yescharacteristic
240C2×Dic83⋊C4C2311yescharacteristic
241C2×Dic83⋊C4C2311yescharacteristic
242C2×C22⋊Dic83—42no—
243C2×C22⋊Dic83—42no—
244C2×C22⋊Dic83—42no—
245C2×C22⋊Dic83C2311yescharacteristic
246C2×C22⋊Dic83C2311yescharacteristic
247C2×C22⋊Dic83C2311yescharacteristic
248C2×C22⋊Dic83C2311yescharacteristic
249C2×C22⋊Dic83C2311yescharacteristic
250C2×C22⋊Dic83C2311yescharacteristic
251C2×C22⋊Dic83C2311yescharacteristic
252C2×C22⋊Dic83C2311yescharacteristic
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×C22⋊Dic83C2311yescharacteristic
256C2×C22⋊Dic83C2311yescharacteristic
257C2×C22⋊Dic83C2311yescharacteristic
258C2×C22⋊Dic83C2311yescharacteristic
259C2×C22⋊Dic83C2311yescharacteristic
260C2×C22⋊Dic83C2311yescharacteristic
261C2×C22⋊Dic83C2311yescharacteristic
262C2×C22⋊Dic83C2311yescharacteristic
263C2×C22⋊Dic83C2311yescharacteristic
264C2×C22⋊Dic83C2311yescharacteristic
265C2×C22⋊Dic83C2311yescharacteristic
266C2×C22⋊Dic83C2311yescharacteristic
267C2×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×C22⋊Dic83C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×C22⋊Dic83C2311yescharacteristic
272C2×C22⋊Dic83C2311yescharacteristic
273C2×C22⋊Dic83C2311yescharacteristic
274C2×C22⋊Dic83C2311yescharacteristic
275C2×C22⋊Dic83C2311yescharacteristic
276C2×C22⋊Dic83C2311yescharacteristic
277C2×C22⋊Dic83C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×C4×Dic83C2311yescharacteristic
287C2×C4×Dic83C2311yescharacteristic
288C2×C4×Dic83C2311yescharacteristic
289C2×C4×Dic83C2311yescharacteristic
290C2×C4×Dic83C2311yescharacteristic
291C2×C4×Dic83C2311yescharacteristic
292C83⋊#95C2311yescharacteristic
293C83⋊#95C2311yescharacteristic
294C83⋊#95C2311yescharacteristic
295C83⋊#95C2311yescharacteristic
296C83⋊#95C2311yescharacteristic
297C83⋊#95C2311yescharacteristic
298C83⋊#95C2311yescharacteristic
299C83⋊#95C2311yescharacteristic
300C83⋊#95C2311yescharacteristic
301C83⋊#95C2311yescharacteristic
302C83⋊#95C2311yescharacteristic
303C83⋊#95C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C25×C83C2311yescharacteristic
329C25×C83C2311yescharacteristic
330C22×D4×C83—24no—
331C22×D4×C83—42no—
332C22×D4×C83—42no—
333C22×D4×C83C2311yescharacteristic
334C22×D4×C83C2311yescharacteristic
335C22×D4×C83C2311yescharacteristic
336C22×D4×C83C2311yescharacteristic
337C22×D4×C83C2311yescharacteristic
338C22×D4×C83C2311yescharacteristic
339C22×D4×C83C2311yescharacteristic
340C22×D4×C83C2311yescharacteristic
341C22×D4×C83C2311yescharacteristic
342C23×C4×C83C2311yescharacteristic
343#123×C83—42no—
344#120×C83—24no—
345#120×C83—42no—
346C2×C4⋊C4×C83C2311yescharacteristic
347C2×C4⋊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
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—41no—
380C2×C22⋊D83—41no—
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—22no—
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—41no—
416C22×Dic83—41no—
417C22×Dic83—41no—
418C22×Dic83—416no—
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C22×Dic83C2411yescharacteristic
429C22×Dic83C2411yescharacteristic
430C22×Dic83C2411yescharacteristic
431C22×Dic83C2411yescharacteristic
432C22×Dic83C2411yescharacteristic
433C22×Dic83C2411yescharacteristic
434C2×C4×D83—41no—
435C2×C4×D83—41no—
436C2×C4×D83—41no—
437C4⋊Dic83—22no—
438C4⋊Dic83—41no—
439C4⋊Dic83—41no—
440C4⋊Dic83—41no—
441C4⋊Dic83—41no—
442C4⋊Dic83—41no—
443Dic83⋊C4—22no—
444Dic83⋊C4—22no—
445Dic83⋊C4—22no—
446Dic83⋊C4—41no—
447Dic83⋊C4—41no—
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—
457C22⋊Dic83—22no—
458C22⋊Dic83—22no—
459C22⋊Dic83—22no—
460C22⋊Dic83—22no—
461C22⋊Dic83—22no—
462C22⋊Dic83—22no—
463C22⋊Dic83—22no—
464C22⋊Dic83—22no—
465C22⋊Dic83—22no—
466C22⋊Dic83—22no—
467C22⋊Dic83—41no—
468C22⋊Dic83—41no—
469C22⋊Dic83—41no—
470C22⋊Dic83—41no—
471C22⋊Dic83—41no—
472C22⋊Dic83—41no—
473C22⋊Dic83—41no—
474C22⋊Dic83—41no—
475C22⋊Dic83—41no—
476C22⋊Dic83—41no—
477C22⋊Dic83—41no—
478C22⋊Dic83—41no—
479C22⋊Dic83—41no—
480C22⋊Dic83—41no—
481C22⋊Dic83—41no—
482C22⋊Dic83—41no—
483C22⋊Dic83—41no—
484C22⋊Dic83—41no—
485C22⋊Dic83—41no—
486C22⋊Dic83—41no—
487C22⋊Dic83—41no—
488C22⋊Dic83—41no—
489C22⋊Dic83—41no—
490(C2×D83)⋊C4—22no—
491(C2×D83)⋊C4—41no—
492(C2×D83)⋊C4—41no—
493(C2×D83)⋊C4—41no—
494(C2×D83)⋊C4—41no—
495(C2×D83)⋊C4—41no—
496(C2×D83)⋊C4—41no—
497(C2×D83)⋊C4—41no—
498C4×Dic83—41no—
499C4×Dic83—41no—
500C4×Dic83—41no—
501C4×Dic83—41no—
502C4×Dic83—41no—
503C4×Dic83—41no—
504C24×C83—22no—
505C24×C83—22no—
506C24×C83—22no—
507C24×C83—22no—
508C24×C83—22no—
509C24×C83—41no—
510C24×C83—41no—
511C24×C83—41no—
512C24×C83—41no—
513C24×C83—41no—
514C24×C83—41no—
515C24×C83—41no—
516C24×C83—41no—
517C24×C83#4114yes—
518C24×C83C2411yescharacteristic
519C24×C83C2411yescharacteristic
520C24×C83C2411yescharacteristic
521C24×C83C2411yescharacteristic
522C24×C83C2411yescharacteristic
523C24×C83C2411yescharacteristic
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—22no—
531C2×D4×C83—22no—
532C2×D4×C83—22no—
533C2×D4×C83—41no—
534C2×D4×C83—41no—
535C2×D4×C83—41no—
536C2×D4×C83—41no—
537C2×D4×C83—41no—
538C2×D4×C83—41no—
539C2×D4×C83—41no—
540C2×D4×C83—41no—
541C2×D4×C83—41no—
542C2×D4×C83—41no—
543C2×D4×C83—41no—
544C2×D4×C83—41no—
545C2×D4×C83—41no—
546C2×D4×C83—41no—
547C2×D4×C83—41no—
548C2×D4×C83—41no—
549C2×D4×C83—41no—
550C2×D4×C83—41no—
551C2×D4×C83—416no—
552C22×C4×C83—22no—
553C22×C4×C83—22no—
554C22×C4×C83—22no—
555C22×C4×C83C2411yescharacteristic
556C22×C4×C83C2411yescharacteristic
557C22×C4×C83C2411yescharacteristic
558C22×C4×C83C2411yescharacteristic
559C22×C4×C83C2411yescharacteristic
560C22×C4×C83C2411yescharacteristic
561C22×C4×C83C2411yescharacteristic
562C22×C4×C83C2411yescharacteristic
563C22×C4×C83C2411yescharacteristic
564C4⋊C4×C83—41no—
565C4⋊C4×C83—41no—
566C22⋊C4×C83—22no—
567C22⋊C4×C83—22no—
568C22⋊C4×C83—22no—
569C22⋊C4×C83—22no—
570C22⋊C4×C83—22no—
571C22⋊C4×C83—41no—
572C22⋊C4×C83—41no—
573C22⋊C4×C83—41no—
574C22⋊C4×C83—41no—
575C22⋊C4×C83—41no—
576C22⋊C4×C83—41no—
577C22⋊C4×C83—41no—
578C22⋊C4×C83—41no—
579C22⋊C4×C83—41no—
580C22⋊C4×C83—41no—
581C22⋊C4×C83—41no—
582C22⋊C4×C83—41no—
583C23×C83—21no—
584C23×C83—21no—
585C23×C83—21no—
586C23×C83—21no—
587C23×C83—28no—
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—21no—
605C23×C83—21no—
606C23×C83—21no—
607C23×C83—21no—
608C23×C83—21no—
609C23×C83—21no—
610C23×C83—21no—
611C23×C83—21no—
612C23×C83—21no—
613C23×C83—21no—
614C23×C83—21no—
615C23×C83—21no—
616C23×C83—21no—
617C23×C83—21no—
618C23×C83—21no—
619C23×C83—21no—
620C23×C83—21no—
621C23×C83—44no—
622C23×C83—44no—
623C23×C83—44no—
624C23×C83—44no—
625C23×C83—44no—
626C23×C83—44no—
627C23×C83—44no—
628C23×C83—44no—
629C23×C83—44no—
630C23×C83—82no—
631C23×C83—82no—
632C23×C83—82no—
633C23×C83—82no—
634C23×C83C2×#4112yes—
635C23×C83C2×#4112yes—
636C23×C83C2×#4112yes—
637C23×C83H(5,𝔽2)12yes—
638C23×C83H(5,𝔽2)12yes—
639C23×C83C2511yescharacteristic
640C22×D83—21no—
641C22×D83—21no—
642C22×D83—21no—
643C22×D83—21no—
644C22×D83—21no—
645C22×D83—21no—
646C22×D83—21no—
647D4×C83—44no—
648D4×C83—44no—
649D4×C83—44no—
650D4×C83—44no—
651D4×C83—44no—
652D4×C83—82no—
653D4×C83—82no—
654D4×C83—82no—
655D4×C83—82no—
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—21no—
664C2×C4×C83—21no—
665C2×C4×C83—21no—
666C2×C4×C83—21no—
667C2×C4×C83—21no—
668C2×C4×C83—21no—
669C2×C4×C83—21no—
670C2×C4×C83—21no—
671C2×C4×C83—21no—
672C2×C4×C83—21no—
673C2×C4×C83—21no—
674C2×C4×C83—21no—
675C2×C4×C83—21no—
676C2×C4×C83—21no—
677C2×C4×C83—21no—
678C2×C4×C83—21no—
679C2×C4×C83—21no—
680C2×C4×C83—21no—
681C2×C4×C83—21no—
682C2×C4×C83—21no—
683C2×C4×C83—44no—
684C22⋊D83—44no—
685C22⋊D83—82no—
686C22⋊D83—82no—
687C22⋊D83—82no—
688C22⋊D83—82no—
689C22⋊D83—82no—
690C2×Dic83—21no—
691C2×Dic83—21no—
692C2×Dic83—21no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—21no—
707C2×Dic83—21no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—21no—
711C2×Dic83—21no—
712C2×Dic83—21no—
713C2×Dic83—21no—
714C2×Dic83—21no—
715C2×Dic83—21no—
716C2×Dic83—21no—
717C2×Dic83—21no—
718C2×Dic83—21no—
719C2×Dic83—21no—
720C2×Dic83—21no—
721C2×Dic83—21no—
722C2×Dic83—21no—
723C2×Dic83—21no—
724C2×Dic83—21no—
725C2×Dic83—21no—
726C2×Dic83—21no—
727C2×Dic83—21no—
728C2×Dic83—21no—
729C2×Dic83—21no—
730C2×Dic83—21no—
731C2×Dic83—21no—
732C2×Dic83—21no—
733C2×Dic83—44no—
734C2×Dic83—44no—
735C2×Dic83—44no—
736C2×Dic83—44no—
737C2×Dic83—44no—
738C2×Dic83—44no—
739C2×Dic83—82no—
740C2×Dic83—82no—
741C2×Dic83—82no—
742C2×Dic83H(5,𝔽2)12yes—
743C2×Dic83H(5,𝔽2)12yes—
744C4×D83—82no—
745Dic166—82no—
746C22×C83—22no—
747C22×C83—22no—
748C22×C83—22no—
749C22×C83—22no—
750C22×C83—22no—
751C22×C83—22no—
752C22×C83—22no—
753C22×C83—22no—
754C22×C83—22no—
755C22×C83—22no—
756C22×C83—22no—
757C22×C83—22no—
758C22×C83—416no—
759C22×C83—41no—
760C22×C83—41no—
761C22×C83—41no—
762C22×C83—41no—
763C22×C83—41no—
764C22×C83—41no—
765C22×C83—41no—
766C22×C83—41no—
767C22×C83—41no—
768C22×C83—41no—
769C22×C83—41no—
770C22×C83—41no—
771C22×C83—41no—
772C22×C83—41no—
773C22×C83—41no—
774C22×C83—41no—
775C22×C83—41no—
776C22×C83—41no—
777C22×C83—41no—
778C22×C83—41no—
779C22×C83—41no—
780C22×C83—41no—
781C22×C83—41no—
782C22×C83—41no—
783C22×C83—41no—
784C22×C83—41no—
785C22×C83—41no—
786C22×C83—41no—
787C22×C83—41no—
788C22×C83—88no—
789C22×C83#53814yes—
790C22×C83C22×#4111yescharacteristic
791C22×C83C2×H(5,𝔽2)11yescharacteristic
792C22×C83C2×H(5,𝔽2)11yescharacteristic
793C22×C83C2×H(5,𝔽2)11yescharacteristic
794C22×C83C2×H(5,𝔽2)11yescharacteristic
795C22×C83#58511yescharacteristic
796C22×C83#58511yescharacteristic
797C2×D83—41no—
798C2×D83—41no—
799C2×D83—41no—
800C2×D83—41no—
801C2×D83—41no—
802C2×D83—41no—
803C2×D83—41no—
804C4×C83—41no—
805C4×C83—41no—
806C4×C83—41no—
807C4×C83—41no—
808C4×C83—41no—
809C4×C83—41no—
810C4×C83—41no—
811C4×C83—41no—
812C4×C83—41no—
813Dic83—22no—
814Dic83—22no—
815Dic83—41no—
816Dic83—41no—
817Dic83—41no—
818Dic83—41no—
819Dic83—41no—
820Dic83—41no—
821Dic83—41no—
822Dic83—41no—
823Dic83—41no—
824Dic83—41no—
825Dic83—41no—
826Dic83—41no—
827Dic83—41no—
828#36758—831nomaximal, Sylow
829C2×C83—24no—
830C2×C83—42no—
831C2×C83—42no—
832C2×C83—81no—
833C2×C83—81no—
834C2×C83—81no—
835C2×C83C2×#53811yescharacteristic
836C2×C83#350511yescharacteristic
837C2×C83#350511yescharacteristic
838C2×C83#353211yescharacteristic
839C2×C83#353311yescharacteristic
840C2×C83#354211yescharacteristic
841C2×C83#354211yescharacteristic
842D83—81no—
843#2848—831no—
844#2847—831no—
845#2797—831no—
846#2781—831no—
847#2779—831no—
848#2778—831no—
849#2778—831no—
850#2756—831no—
851#2753—831no—
852#2749—831no—
853#2741—831no—
854#2730—831no—
855#2714—831no—
856#2703—831no—
857#2702—831no—
858#2696—831no—
859#2688—831no—
860#2676—831no—
861#2613—831no—
862#2613D8311yescharacteristic, complemented
863#2493—831no—
864#2488—831no—
865#2480—831no—
866#2472—831no—
867#2425—831no—
868#2424—831no—
869#2419—831no—
870#2418—831no—
871#2321—831no—
872#2321—831no—
873C2×#386—831no—
874C83#3675811yescharacteristic, complemented, Sylow
875C23×D4C2×D8311yescharacteristic
876C24×C4—831no—
877C2×#126—831no—
878C2×#124—831no—
879C2×#123—831no—
880C2×#123—831no—
881C2×#123C2×D8311yescharacteristic
882C2×C22⋊Q8—831no—
883C2×C22⋊Q8—831no—
884C2×C22⋊Q8—831no—
885C2×#121—831no—
886C2×#121—831no—
887C2×#121—831no—
888C2×#121—831no—
889C2×#120—831no—
890C2×#120—831no—
891C2×#120C2×D8311yescharacteristic
892C2×#120C2×D8311yescharacteristic
893C2×C4×D4—831no—
894C2×C4×D4—831no—
895C22×C22⋊C4—831no—
896C22×C22⋊C4—831no—
897C22×C22⋊C4—831no—
898#401—831no—
899#400—831no—
900#400—831no—
901#400—831no—
902#400—831no—
903#400—831no—
904#400—831no—
905#399—831no—
906#398—831no—
907#398—831no—
908#397—831no—
909#397—831no—
910#397—831no—
911#397—831no—
912#397—831no—
913#397—831no—
914#397—831no—
915#397—831no—
916#397—831no—
917#396—831no—
918#396—831no—
919#396—831no—
920#394—831no—
921#394—831no—
922#394—831no—
923#394—831no—
924#394—831no—
925#394—831no—
926#394—831no—
927#394—831no—
928#394—831no—
929#394—831no—
930#394—831no—
931#394C2×D8311yescharacteristic
932#394C2×D8311yescharacteristic
933#394C2×D8311yescharacteristic
934#394C2×D8311yescharacteristic
935#393—831no—
936#393—831no—
937#392—831no—
938#392—831no—
939#392—831no—
940#392—831no—
941#392—831no—
942#392C2×D8311yescharacteristic
943#392C2×D8311yescharacteristic
944#392C2×D8311yescharacteristic
945#392C2×D8311yescharacteristic
946#391—831no—
947#390—831no—
948#390—831no—
949#390—831no—
950#390—831no—
951#390—831no—
952#390—831no—
953#389—831no—
954#388—831no—
955#388—831no—
956#388—831no—
957#388—831no—
958#388—831no—
959#388—831no—
960#388—831no—
961#388—831no—
962#388—831no—
963#388—831no—
964#388—831no—
965#388—831no—
966#388—831no—
967#388—831no—
968#388—831no—
969#388—831no—
970#388—831no—
971#388—831no—
972#388—831no—
973#387—831no—
974#387—831no—
975#387—831no—
976#387—831no—
977#387—831no—
978#386—831no—
979#386—831no—
980#386—831no—
981#386—831no—
982#386—831no—
983#386—831no—
984#386—831no—
985#386—831no—
986#386—831no—
987#386—831no—
988#386—831no—
989#386—831no—
990#386—831no—
991#386—831no—
992#386—831no—
993#386—831no—
994#386—831no—
995#386—831no—
996#386—831no—
997#386—831no—
998#386—831no—
999#386—831no—
1000#386—831no—
1001#385—831no—
1002#385—831no—
1003#385—831no—
1004#385—831no—
1005#385—831no—
1006#385—831no—
1007#385—831no—
1008#385—831no—
1009#385—831no—
1010#383—831no—
1011#382—831no—
1012#381—831no—
1013#381—831no—
1014#381C2×D8311yescharacteristic
1015#380—831no—
1016#380—831no—
1017#380—831no—
1018#380—831no—
1019#380—831no—
1020#380—831no—
1021#380—831no—
1022#379—831no—
1023#379—831no—
1024#379C2×D8311yescharacteristic
1025#379C2×D8311yescharacteristic
1026C4×C22⋊C4—831no—
1027C4×C22⋊C4—831no—
1028C2×#95—831no—
1029C2×#95—831no—
1030C25C22×D8311yescharacteristic
1031C25C22×D8311yescharacteristic
1032C22×Q8—831no—
1033C22×D4—24no—
1034C22×D4—42no—
1035C22×D4—42no—
1036C22×D4—831no—
1037C22×D4—831no—
1038C22×D4—831no—
1039C22×D4—831no—
1040C22×D4—831no—
1041C22×D4—831no—
1042C22×D4C22×D8311yescharacteristic
1043C22×D4C22×D8311yescharacteristic
1044C22×D4C22×D8311yescharacteristic
1045C22×D4C22×D8311yescharacteristic
1046C22×D4C22×D8311yescharacteristic
1047C22×D4C22×D8311yescharacteristic
1048C22×D4C22×D8311yescharacteristic
1049C22×D4C22×D8311yescharacteristic
1050C22×D4C22×D8311yescharacteristic
1051C23×C4—3322no—
1052C23×C4—3322no—
1053C23×C4—3322no—
1054C23×C4—831no—
1055C23×C4—831no—
1056C23×C4—831no—
1057C23×C4—831no—
1058C23×C4—831no—
1059C23×C4—831no—
1060C23×C4—831no—
1061C23×C4—831no—
1062C23×C4—831no—
1063C23×C4—831no—
1064C23×C4C22×D8311yescharacteristic
1065#126—3322no—
1066#124—3322no—
1067#123—42no—
1068#123—3322no—
1069#123—3322no—
1070C22⋊Q8—3322no—
1071C22⋊Q8—3322no—
1072C22⋊Q8—3322no—
1073#121—3322no—
1074#121—3322no—
1075#121—3322no—
1076#121—3322no—
1077#120—24no—
1078#120—42no—
1079#120—3322no—
1080#120—1664no—
1081C4×D4—3322no—
1082C4×D4—3322no—
1083C2×C4⋊C4—831no—
1084C2×C4⋊C4—831no—
1085C2×C4⋊C4—831no—
1086C2×C4⋊C4—831no—
1087C2×C4⋊C4—831no—
1088C2×C4⋊C4—831no—
1089C2×C4⋊C4—831no—
1090C2×C4⋊C4—831no—
1091C2×C4⋊C4—831no—
1092C2×C4⋊C4—831no—
1093C2×C4⋊C4—831no—
1094C2×C4⋊C4—831no—
1095C2×C4⋊C4—831no—
1096C2×C4⋊C4—831no—
1097C2×C4⋊C4—831no—
1098C2×C4⋊C4—831no—
1099C2×C4⋊C4—831no—
1100C2×C4⋊C4—831no—
1101C2×C4⋊C4—831no—
1102C2×C4⋊C4—831no—
1103C2×C4⋊C4C22×D8311yescharacteristic
1104C2×C4⋊C4C22×D8311yescharacteristic
1105C2×C22⋊C4—3322no—
1106C2×C22⋊C4—3322no—
1107C2×C22⋊C4—3322no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—831no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—831no—
1118C2×C22⋊C4—831no—
1119C2×C22⋊C4—831no—
1120C2×C22⋊C4—831no—
1121C2×C22⋊C4—831no—
1122C2×C22⋊C4—831no—
1123C2×C22⋊C4—831no—
1124C2×C22⋊C4—831no—
1125C2×C22⋊C4—831no—
1126C2×C22⋊C4—831no—
1127C2×C22⋊C4—831no—
1128C2×C22⋊C4—831no—
1129C2×C22⋊C4—831no—
1130C2×C22⋊C4—831no—
1131C2×C22⋊C4—831no—
1132C2×C22⋊C4—831no—
1133C2×C22⋊C4—831no—
1134C2×C22⋊C4—831no—
1135C2×C22⋊C4—831no—
1136C2×C22⋊C4—831no—
1137C2×C22⋊C4—831no—
1138C2×C22⋊C4—831no—
1139C2×C22⋊C4—831no—
1140C2×C22⋊C4—831no—
1141C2×C22⋊C4—831no—
1142C2×C22⋊C4—831no—
1143C2×C22⋊C4—831no—
1144C2×C22⋊C4—831no—
1145C2×C22⋊C4—831no—
1146C2×C22⋊C4—831no—
1147C2×C22⋊C4—831no—
1148C2×C22⋊C4—831no—
1149C2×C22⋊C4C22×D8311yescharacteristic
1150C2×C22⋊C4C22×D8311yescharacteristic
1151C2×C22⋊C4C22×D8311yescharacteristic
1152C2×C22⋊C4C22×D8311yescharacteristic
1153C2×C22⋊C4C22×D8311yescharacteristic
1154C2×C22⋊C4C22×D8311yescharacteristic
1155C2×C22⋊C4C22×D8311yescharacteristic
1156C2×C22⋊C4C22×D8311yescharacteristic
1157C2×C22⋊C4C22×D8311yescharacteristic
1158C2×C22⋊C4C22×D8311yescharacteristic
1159C2×C22⋊C4C22×D8311yescharacteristic
1160C2×C22⋊C4C22×D8311yescharacteristic
1161C2×C22⋊C4C22×D8311yescharacteristic
1162C2×C22⋊C4C22×D8311yescharacteristic
1163C2×C22⋊C4C22×D8311yescharacteristic
1164C2×C22⋊C4C22×D8311yescharacteristic
1165C2×C22⋊C4C22×D8311yescharacteristic
1166C2×C42—831no—
1167C2×C42—831no—
1168C2×C42—831no—
1169C2×C42—831no—
1170C2×C42—831no—
1171C2×C42—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#95—831no—
1185#95—831no—
1186#95—831no—
1187#95—831no—
1188#95—831no—
1189#95—831no—
1190#95—831no—
1191#95—831no—
1192#95—831no—
1193#95—831no—
1194#95—831no—
1195#95—831no—
1196#95—831no—
1197#95—831no—
1198#95—831no—
1199#95—831no—
1200#95—831no—
1201#95—831no—
1202#95—831no—
1203#95—831no—
1204#95—831no—
1205#95—831no—
1206#95—831no—
1207#95—831no—
1208#95C22×D8311yescharacteristic
1209#95C22×D8311yescharacteristic
1210#95C22×D8311yescharacteristic
1211#95C22×D8311yescharacteristic
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—41no—
1218C24—41no—
1219C24—41no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—831no—
1226C24#1305058914yes—
1227C24C23×D8311yescharacteristic
1228C24C23×D8311yescharacteristic
1229C24C23×D8311yescharacteristic
1230C24C23×D8311yescharacteristic
1231C24C23×D8311yescharacteristic
1232C24C23×D8311yescharacteristic
1233C2×Q8—3321no—
1234C2×Q8—3321no—
1235C2×Q8—1662no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—416no—
1264C2×D4—3321no—
1265C2×D4—3321no—
1266C2×D4—3321no—
1267C2×D4—3321no—
1268C2×D4—3321no—
1269C2×D4—3321no—
1270C2×D4—3321no—
1271C2×D4—3321no—
1272C2×D4—3321no—
1273C2×D4—3321no—
1274C2×D4—3321no—
1275C2×D4—3321no—
1276C2×D4—1662no—
1277C2×D4—1662no—
1278C2×D4—1662no—
1279C2×D4—1662no—
1280C2×D4—1662no—
1281C2×D4—1662no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—3321no—
1286C22×C4—3321no—
1287C22×C4—3321no—
1288C22×C4—33216no—
1289C22×C4—3321no—
1290C22×C4—3321no—
1291C22×C4—3321no—
1292C22×C4—3321no—
1293C22×C4—3321no—
1294C22×C4—3321no—
1295C22×C4—3321no—
1296C22×C4—3321no—
1297C22×C4—3321no—
1298C22×C4—3321no—
1299C22×C4—3321no—
1300C22×C4—3321no—
1301C22×C4—3321no—
1302C22×C4—3321no—
1303C22×C4—3321no—
1304C22×C4—3321no—
1305C22×C4—3321no—
1306C22×C4—831no—
1307C22×C4—831no—
1308C22×C4—831no—
1309C22×C4—831no—
1310C22×C4—831no—
1311C22×C4—831no—
1312C22×C4—831no—
1313C22×C4—831no—
1314C22×C4—831no—
1315C22×C4—831no—
1316C22×C4—831no—
1317C22×C4—831no—
1318C22×C4—831no—
1319C22×C4—831no—
1320C22×C4—831no—
1321C22×C4—1662no—
1322C22×C4—1662no—
1323C22×C4—1662no—
1324C22×C4—1662no—
1325C22×C4—1662no—
1326C22×C4—1662no—
1327C22×C4—1662no—
1328C22×C4—1662no—
1329C22×C4—1662no—
1330C22×C4—1662no—
1331C22×C4C23×D8311yescharacteristic
1332C22×C4C23×D8311yescharacteristic
1333C22×C4C23×D8311yescharacteristic
1334C22×C4C23×D8311yescharacteristic
1335C22×C4C23×D8311yescharacteristic
1336C22×C4C23×D8311yescharacteristic
1337C22×C4C23×D8311yescharacteristic
1338C22×C4C23×D8311yescharacteristic
1339C22×C4C23×D8311yescharacteristic
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—3321no—
1343C4⋊C4—3321no—
1344C4⋊C4—3321no—
1345C4⋊C4—3321no—
1346C4⋊C4—3321no—
1347C4⋊C4—3321no—
1348C4⋊C4—3321no—
1349C4⋊C4—3321no—
1350C4⋊C4—3321no—
1351C4⋊C4—3321no—
1352C4⋊C4—3321no—
1353C4⋊C4—3321no—
1354C4⋊C4—3321no—
1355C4⋊C4—3321no—
1356C4⋊C4—3321no—
1357C4⋊C4—3321no—
1358C4⋊C4—1662no—
1359C4⋊C4—1662no—
1360C4⋊C4—1662no—
1361C4⋊C4—1662no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—3321no—
1380C22⋊C4—3321no—
1381C22⋊C4—3321no—
1382C22⋊C4—3321no—
1383C22⋊C4—3321no—
1384C22⋊C4—3321no—
1385C22⋊C4—3321no—
1386C22⋊C4—3321no—
1387C22⋊C4—3321no—
1388C22⋊C4—3321no—
1389C22⋊C4—3321no—
1390C22⋊C4—3321no—
1391C22⋊C4—3321no—
1392C22⋊C4—3321no—
1393C22⋊C4—3321no—
1394C22⋊C4—3321no—
1395C22⋊C4—3321no—
1396C22⋊C4—3321no—
1397C22⋊C4—3321no—
1398C22⋊C4—3321no—
1399C22⋊C4—3321no—
1400C22⋊C4—3321no—
1401C22⋊C4—3321no—
1402C22⋊C4—3321no—
1403C22⋊C4—3321no—
1404C22⋊C4—3321no—
1405C22⋊C4—3321no—
1406C22⋊C4—3321no—
1407C22⋊C4—3321no—
1408C22⋊C4—3321no—
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—
1420C42—3321no—
1421C42—3321no—
1422C42—3321no—
1423C42—3321no—
1424C42—3321no—
1425C42—3321no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—28no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—82no—
1474C23—82no—
1475C23—82no—
1476C23—82no—
1477C23—1661no—
1478C23—1661no—
1479C23—1661no—
1480C23—1661no—
1481C23—1661no—
1482C23—1661no—
1483C23—1661no—
1484C23C2×#1305058912yes—
1485C23C2×#1305058912yes—
1486C23C2×#1305058912yes—
1487C23#1458183712yes—
1488C23#1458183712yes—
1489C23C24×D8311yescharacteristic
1490Q8—6642no—
1491D4—44no—
1492D4—44no—
1493D4—44no—
1494D4—44no—
1495D4—44no—
1496D4—82no—
1497D4—82no—
1498D4—82no—
1499D4—82no—
1500D4—3324no—
1501D4—6642no—
1502D4—6642no—
1503D4—6642no—
1504D4—6642no—
1505D4—6642no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—44no—
1534C2×C4—3324no—
1535C2×C4—3324no—
1536C2×C4—3324no—
1537C2×C4—3324no—
1538C2×C4—3324no—
1539C2×C4—3324no—
1540C2×C4—832no—
1541C2×C4—832no—
1542C2×C4—6642no—
1543C2×C4—6642no—
1544C2×C4—6642no—
1545C2×C4—6642no—
1546C2×C4—1661no—
1547C2×C4—1661no—
1548C2×C4—1661no—
1549C2×C4—1661no—
1550C2×C4—1661no—
1551C2×C4—1661no—
1552C2×C4—1661no—
1553C2×C4—1661no—
1554C2×C4—1661no—
1555C2×C4—1661no—
1556C2×C4—1661no—
1557C2×C4—1661no—
1558C2×C4—1661no—
1559C2×C4—1661no—
1560C2×C4—1661no—
1561C2×C4—1661no—
1562C2×C4—1661no—
1563C2×C4—1661no—
1564C2×C4—1661no—
1565C2×C4—1661no—
1566C2×C4—1661no—
1567C2×C4—1661no—
1568C2×C4—1661no—
1569C2×C4—1661no—
1570C2×C4—1661no—
1571C2×C4—1661no—
1572C2×C4—1661no—
1573C2×C4—1661no—
1574C2×C4—1661no—
1575C2×C4—1661no—
1576C2×C4—1661no—
1577C2×C4—1661no—
1578C2×C4—1661no—
1579C2×C4—1661no—
1580C2×C4—1661no—
1581C2×C4—1661no—
1582C2×C4—1661no—
1583C2×C4—1661no—
1584C2×C4—1661no—
1585C2×C4—1661no—
1586C2×C4—1661no—
1587C2×C4—1661no—
1588C2×C4—1661no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—416no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—88no—
1632C22—3321no—
1633C22—3321no—
1634C22—3321no—
1635C22—3321no—
1636C22—3321no—
1637C22—3321no—
1638C22—3321no—
1639C22#1912828614yes—
1640C22C22×#1305058911yescharacteristic
1641C22H(5,𝔽2)×D8311yescharacteristic
1642C22H(5,𝔽2)×D8311yescharacteristic
1643C22C2×#1458183711yescharacteristic
1644C22C2×#1458183711yescharacteristic
1645C22#1912853611yescharacteristic
1646C22#1912853611yescharacteristic
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—3321no—
1657C4—3321no—
1658C4—3321no—
1659C4—3321no—
1660C4—3321no—
1661C4—3321no—
1662C4—3321no—
1663C4—3321no—
1664C4—3321no—
1665C4—3321no—
1666C4—3321no—
1667C4—3321no—
1668C4—3321no—
1669C4—1662no—
1670C4—1662no—
1671C2—24no—
1672C2—42no—
1673C2—42no—
1674C2—81no—
1675C2—81no—
1676C2—81no—
1677C2—6641no—
1678C2C2×#1912828611yescharacteristic
1679C2#2492130011yescharacteristic
1680C2#2492130011yescharacteristic
1681C2#2492161511yescharacteristic
1682C2#2492162411yescharacteristic
1683C2#2492176611yescharacteristic
1684C2#2492176611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2613C2
hypercenter#2613D83
hypocenterC83#36758
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2613

Complements

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

NH ≅ G/Ntype
1. #24915748C2semidirect
2. #24915743C2semidirect
3. #24915326C2semidirect
4. #24915119C2semidirect
5. #24915089C2semidirect
6. #24915083C2semidirect
7. #24915074C2semidirect
8. #24914778C2semidirect
9. #24914742C2semidirect
10. #24914688C2semidirect
11. #24914583C2semidirect
12. #24914462C2semidirect
13. #24914261C2semidirect
14. #24914099C2semidirect
15. #24914084C2semidirect
16. #24914019C2semidirect
17. #24913905C2semidirect
18. #24913757C2semidirect
19. #24913175C2semidirect
20. #24911844C2semidirect
21. #24911785C2semidirect
22. #24911706C2semidirect
23. #24911588C2semidirect
24. #24911010C2semidirect
25. #24911003C2semidirect
26. #24910936C2semidirect
27. #24910929C2semidirect
28. #24910124C2semidirect
29. #24910118C2semidirect
30. C2×#19127581C2semidirect
31. C83×#2613C2semidirect
33. C2×#14581785C22semidirect
34. C2×#14581779C22semidirect
36. C2×#14581774C22semidirect
38. C2×#14581769C22semidirect
39. C2×#14581769C22semidirect
41. C2×#14581764C22semidirect
42. C2×#14581764C22semidirect
43. C2×#14581764C22semidirect
51. C83⋊#401C22semidirect
52. #19127643C22semidirect
53. #19127643C22semidirect
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874. C83#36758semidirect

Maximal subgroups

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

subgroupindex
#249157482
#249157432
#249153262
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#249101242
#249101182
C2×#191275812
C83×#26132
#3675883