Finite Group Databasebeta

← #35612741

Subgroups — #35612741

Order 21248.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915753C211yesmaximal, characteristic, complemented
2#24915743C211yesmaximal, characteristic, complemented
3#24915074C211yesmaximal, characteristic, complemented
4#24915074C211yesmaximal, characteristic, complemented
5#24914839C211yesmaximal, characteristic, complemented
6#24914701C211yesmaximal, characteristic, complemented
7#24914688C211yesmaximal, characteristic, complemented
8#24914686C211yesmaximal, characteristic, complemented
9#24914600C211yesmaximal, characteristic, complemented
10#24914111C211yesmaximal, characteristic, complemented
11#24914024C211yesmaximal, characteristic, complemented
12#24914012C211yesmaximal, characteristic, complemented
13#24913905C211yesmaximal, characteristic, complemented
14#24913898C211yesmaximal, characteristic, complemented
15#24913841C211yesmaximal, characteristic, complemented
16#24913788C211yesmaximal, characteristic, complemented
17#24913757C211yesmaximal, characteristic, complemented
18#24913667C211yesmaximal, characteristic, complemented
19#24913418C211yesmaximal, characteristic, complemented
20#24913393C211yesmaximal, characteristic, complemented
21#24912021C211yesmaximal, characteristic, complemented
22#24911588C211yesmaximal, characteristic, complemented
23#24911219C211yesmaximal, characteristic, complemented
24#24911129C211yesmaximal, characteristic, complemented
25#24910995C211yesmaximal, characteristic, complemented
26#24910837C211yesmaximal, characteristic, complemented
27#24910837C211yesmaximal, characteristic, complemented
28#24910118C211yesmaximal, characteristic, complemented
29#24910041C211yesmaximal, characteristic, complemented
30C2×#19127581C211yesmaximal, characteristic, complemented
31C83×#2403C211yesmaximal, characteristic, complemented
32C24×Dic83C2211yescharacteristic, complemented
33C2×#14581779C2211yescharacteristic, complemented
34C2×#14581773C2211yescharacteristic, complemented
35C2×#14581773C2211yescharacteristic, complemented
36C2×#14581769C2211yescharacteristic, complemented
37C2×#14581769C2211yescharacteristic, complemented
38C2×#14581764C2211yescharacteristic
39C2×#14581764C2211yescharacteristic
40C2×#14581764C2211yescharacteristic, complemented
41C2×#14581764C2211yescharacteristic, complemented
42C2×#14581764C2211yescharacteristic, complemented
43C2×#14581764C2211yescharacteristic, complemented
44C2×#14581763C2211yescharacteristic, complemented
45C2×#14581761C2211yescharacteristic
46C2×#14581761C2211yescharacteristic, complemented
47C2×#14581761C2211yescharacteristic, complemented
48C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
49C22×C22⋊Dic83C2211yescharacteristic
50C22×C22⋊Dic83C2211yescharacteristic
51C22×C22⋊Dic83C2211yescharacteristic
52C22×C22⋊Dic83C2211yescharacteristic, complemented
53C83⋊#401C2211yescharacteristic, complemented
54C83⋊#401C2211yescharacteristic, complemented
55#19127643C2211yescharacteristic, complemented
56#19127643C2211yescharacteristic, complemented
57#19127642C2211yescharacteristic, complemented
58#19127642C2211yescharacteristic, complemented
59#19127642C2211yescharacteristic, complemented
60#19127642C2211yescharacteristic, complemented
61#19127641C2211yescharacteristic, complemented
62#19127637C2211yescharacteristic, complemented
63#19127630C2211yescharacteristic, complemented
64#19127630C2211yescharacteristic, complemented
65#19127629C2211yescharacteristic, complemented
66#19127629C2211yescharacteristic, complemented
67#19127629C2211yescharacteristic, complemented
68#19127629C2211yescharacteristic, complemented
69#19127629C2211yescharacteristic, complemented
70#19127629C2211yescharacteristic, complemented
71#19127626C2211yescharacteristic, complemented
72#19127626C2211yescharacteristic, complemented
73#19127624C2211yescharacteristic, complemented
74#19127624C2211yescharacteristic, complemented
75#19127624C2211yescharacteristic, complemented
76#19127624C2211yescharacteristic, complemented
77#19127617C2211yescharacteristic, complemented
78#19127617C2211yescharacteristic, complemented
79#19127616C2211yescharacteristic, complemented
80#19127616C2211yescharacteristic, complemented
81#19127615C2211yescharacteristic
82#19127615C2211yescharacteristic
83#19127615C2211yescharacteristic, complemented
84#19127615C2211yescharacteristic, complemented
85#19127615C2211yescharacteristic, complemented
86#19127615C2211yescharacteristic, complemented
87#19127615C2211yescharacteristic, complemented
88#19127614C2211yescharacteristic, complemented
89#19127613C2211yescharacteristic, complemented
90#19127613C2211yescharacteristic, complemented
91#19127613C2211yescharacteristic, complemented
92#19127609C2211yescharacteristic
93#19127609C2211yescharacteristic
94#19127609C2211yescharacteristic, complemented
95#19127609C2211yescharacteristic, complemented
96#19127609C2211yescharacteristic, complemented
97#19127604C2211yescharacteristic, complemented
98#19127604C2211yescharacteristic, complemented
99#19127601C2211yescharacteristic, complemented
100#19127601C2211yescharacteristic, complemented
101#19127595C2211yescharacteristic, complemented
102#19127595C2211yescharacteristic, complemented
103#19127595C2211yescharacteristic, complemented
104#19127595C2211yescharacteristic, complemented
105#19127595C2211yescharacteristic, complemented
106#19127595C2211yescharacteristic, complemented
107#19127589C2211yescharacteristic, complemented
108#19127589C2211yescharacteristic, complemented
109#19127589C2211yescharacteristic, complemented
110#19127589C2211yescharacteristic, complemented
111#19127583C2211yescharacteristic, complemented
112#19127583C2211yescharacteristic, complemented
113#19127581C2211yescharacteristic
114#19127581C2211yescharacteristic
115#19127581C2211yescharacteristic
116#19127581C2211yescharacteristic
117#19127581C2211yescharacteristic
118#19127581C2211yescharacteristic
119#19127581C2211yescharacteristic
120#19127581C2211yescharacteristic
121#19127581C2211yescharacteristic
122#19127581C2211yescharacteristic
123#19127581C2211yescharacteristic, complemented
124#19127581C2211yescharacteristic, complemented
125#19127581C2211yescharacteristic, complemented
126#19127581C2211yescharacteristic, complemented
127#19127581C2211yescharacteristic, complemented
128#19127581C2211yescharacteristic, complemented
129#19127581C2211yescharacteristic, complemented
130#19127581C2211yescharacteristic, complemented
131#19127581C2211yescharacteristic, complemented
132#19127581C2211yescharacteristic, complemented
133#19127581C2211yescharacteristic, complemented
134#19127581C2211yescharacteristic, complemented
135#19127581C2211yescharacteristic, complemented
136#19127581C2211yescharacteristic, complemented
137#19127580C2211yescharacteristic, complemented
138#19127580C2211yescharacteristic, complemented
139#19127578C2211yescharacteristic, complemented
140#19127578C2211yescharacteristic, complemented
141#19127578C2211yescharacteristic, complemented
142#19127577C2211yescharacteristic, complemented
143#19127577C2211yescharacteristic, complemented
144#19127577C2211yescharacteristic, complemented
145#19127577C2211yescharacteristic, complemented
146#19127576C2211yescharacteristic, complemented
147#19127576C2211yescharacteristic, complemented
148#19127574C2211yescharacteristic, complemented
149#19127574C2211yescharacteristic, complemented
150#19127573C2211yescharacteristic, complemented
151#19127573C2211yescharacteristic, complemented
152#19127573C2211yescharacteristic, complemented
153#19127573C2211yescharacteristic, complemented
154#19127573C2211yescharacteristic, complemented
155#19127568C2211yescharacteristic, complemented
156#19127564C2211yescharacteristic, complemented
157#19127564C2211yescharacteristic, complemented
158#19127563C2211yescharacteristic, complemented
159#19127562C2211yescharacteristic, complemented
160#19127562C2211yescharacteristic, complemented
161#19127559C2211yescharacteristic, complemented
162#19127559C2211yescharacteristic, complemented
163#19127559C2211yescharacteristic, complemented
164#19127559C2211yescharacteristic, complemented
165#19127557C2211yescharacteristic, complemented
166#19127557C2211yescharacteristic, complemented
167#19127557C2211yescharacteristic, complemented
168#19127557C2211yescharacteristic, complemented
169C22⋊C4×Dic83C2211yescharacteristic, complemented
170C2×C83⋊#95C2211yescharacteristic, complemented
171C2×C83⋊#95C2211yescharacteristic, complemented
172C23×D4×C83C2211yescharacteristic
173C23×D4×C83C2211yescharacteristic
174C2×#120×C83C2211yescharacteristic
175C2×#120×C83C2211yescharacteristic
176C2×#120×C83C2211yescharacteristic
177C2×#120×C83C2211yescharacteristic
178#392×C83C2211yescharacteristic
179#392×C83C2211yescharacteristic
180#392×C83C2211yescharacteristic
181#392×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic
183#386×C83C2211yescharacteristic
184#386×C83C2211yescharacteristic
185#386×C83C2211yescharacteristic
186#379×C83C2211yescharacteristic
187C22×Dic166C2311yescharacteristic
188C22×C22⋊D83C2311yescharacteristic
189C22×C22⋊D83C2311yescharacteristic
190C22×C22⋊D83C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C23×Dic83—42no—
196C23×Dic83—42no—
197C23×Dic83—42no—
198C23×Dic83C2311yescharacteristic
199C23×Dic83C2311yescharacteristic
200C23×Dic83C2311yescharacteristic
201C23×Dic83C2311yescharacteristic
202C23×Dic83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C23×Dic83C2311yescharacteristic
205C23×Dic83C2311yescharacteristic
206C23×Dic83C2311yescharacteristic
207C23×Dic83C2311yescharacteristic
208C22×C4×D83C2311yescharacteristic
209#14581779—42no—
210#14581773—42no—
211#14581773—42no—
212#14581769—42no—
213#14581769—42no—
214#14581764—42no—
215#14581764—42no—
216#14581764—42no—
217#14581764—42no—
218#14581764—42no—
219#14581764—42no—
220#14581763—42no—
221#14581761—24no—
222#14581761—42no—
223#14581761—42no—
224(C22⋊D83)⋊C4—42no—
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×C22⋊Dic83—42no—
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×C22⋊Dic83C2311yescharacteristic
279C2×C22⋊Dic83C2311yescharacteristic
280C2×C22⋊Dic83C2311yescharacteristic
281C2×C22⋊Dic83C2311yescharacteristic
282C2×C22⋊Dic83C2311yescharacteristic
283C2×C22⋊Dic83C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
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×C4×Dic83C2311yescharacteristic
292C2×C4×Dic83C2311yescharacteristic
293C2×C4×Dic83C2311yescharacteristic
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
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C25×C83C2311yescharacteristic
331C25×C83C2311yescharacteristic
332C25×C83C2311yescharacteristic
333C22×D4×C83—24no—
334C22×D4×C83—24no—
335C22×D4×C83—42no—
336C22×D4×C83—42no—
337C22×D4×C83—42no—
338C22×D4×C83—42no—
339C22×D4×C83C2311yescharacteristic
340C22×D4×C83C2311yescharacteristic
341C22×D4×C83C2311yescharacteristic
342C22×D4×C83C2311yescharacteristic
343C22×D4×C83C2311yescharacteristic
344C22×D4×C83C2311yescharacteristic
345C22×D4×C83C2311yescharacteristic
346C22×D4×C83C2311yescharacteristic
347C22×D4×C83C2311yescharacteristic
348C22×D4×C83C2311yescharacteristic
349C22×D4×C83C2311yescharacteristic
350C22×D4×C83C2311yescharacteristic
351C23×C4×C83C2311yescharacteristic
352C23×C4×C83C2311yescharacteristic
353#120×C83—42no—
354#120×C83—42no—
355#120×C83—42no—
356#120×C83—42no—
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×C22⋊C4×C83C2311yescharacteristic
366C2×C22⋊C4×C83C2311yescharacteristic
367C2×C22⋊C4×C83C2311yescharacteristic
368C2×C22⋊C4×C83C2311yescharacteristic
369C2×C22⋊C4×C83C2311yescharacteristic
370C2×C22⋊C4×C83C2311yescharacteristic
371#95×C83C2311yescharacteristic
372#95×C83C2311yescharacteristic
373#95×C83C2311yescharacteristic
374#95×C83C2311yescharacteristic
375C23×D83C2411yescharacteristic
376C2×Dic166—41no—
377C2×Dic166—41no—
378C2×Dic166—41no—
379C2×C22⋊D83—22no—
380C2×C22⋊D83—22no—
381C2×C22⋊D83—22no—
382C2×C22⋊D83—22no—
383C2×C22⋊D83—22no—
384C2×C22⋊D83—22no—
385C2×C22⋊D83—22no—
386C2×C22⋊D83—22no—
387C2×C22⋊D83—41no—
388C2×C22⋊D83—41no—
389C2×C22⋊D83—41no—
390C2×C22⋊D83—41no—
391C2×C22⋊D83—41no—
392C2×C22⋊D83—41no—
393C2×C22⋊D83—41no—
394C2×C22⋊D83—41no—
395C2×C22⋊D83—41no—
396C2×C22⋊D83—41no—
397C2×C22⋊D83—41no—
398C2×C22⋊D83—41no—
399C2×C22⋊D83—41no—
400C22×Dic83—22no—
401C22×Dic83—22no—
402C22×Dic83—22no—
403C22×Dic83—22no—
404C22×Dic83—22no—
405C22×Dic83—22no—
406C22×Dic83—22no—
407C22×Dic83—22no—
408C22×Dic83—22no—
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—41no—
419C22×Dic83—41no—
420C22×Dic83—41no—
421C22×Dic83—41no—
422C22×Dic83—41no—
423C22×Dic83—41no—
424C22×Dic83—41no—
425C22×Dic83—41no—
426C22×Dic83—41no—
427C22×Dic83—41no—
428C22×Dic83—41no—
429C22×Dic83—41no—
430C22×Dic83—416no—
431C22×Dic83C2411yescharacteristic
432C22×Dic83C2411yescharacteristic
433C22×Dic83C2411yescharacteristic
434C22×Dic83C2411yescharacteristic
435C22×Dic83C2411yescharacteristic
436C22×Dic83C2411yescharacteristic
437C22×Dic83C2411yescharacteristic
438C22×Dic83C2411yescharacteristic
439C22×Dic83C2411yescharacteristic
440C22×Dic83C2411yescharacteristic
441C22×Dic83C2411yescharacteristic
442C22×Dic83C2411yescharacteristic
443C22×Dic83C2411yescharacteristic
444C22×Dic83C2411yescharacteristic
445C22×Dic83C2411yescharacteristic
446C2×C4×D83—41no—
447C2×C4×D83—41no—
448C2×C4×D83—41no—
449C4⋊Dic83—41no—
450C4⋊Dic83—41no—
451C4⋊Dic83—41no—
452Dic83⋊C4—22no—
453Dic83⋊C4—22no—
454Dic83⋊C4—41no—
455Dic83⋊C4—41no—
456Dic83⋊C4—41no—
457Dic83⋊C4—41no—
458Dic83⋊C4—41no—
459Dic83⋊C4—41no—
460Dic83⋊C4—41no—
461Dic83⋊C4—41no—
462Dic83⋊C4—41no—
463Dic83⋊C4—41no—
464Dic83⋊C4—41no—
465C22⋊Dic83—22no—
466C22⋊Dic83—22no—
467C22⋊Dic83—22no—
468C22⋊Dic83—22no—
469C22⋊Dic83—22no—
470C22⋊Dic83—22no—
471C22⋊Dic83—22no—
472C22⋊Dic83—22no—
473C22⋊Dic83—22no—
474C22⋊Dic83—22no—
475C22⋊Dic83—22no—
476C22⋊Dic83—22no—
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—
490C22⋊Dic83—41no—
491C22⋊Dic83—41no—
492C22⋊Dic83—41no—
493C22⋊Dic83—41no—
494C22⋊Dic83—41no—
495C22⋊Dic83—41no—
496C22⋊Dic83—41no—
497C22⋊Dic83—41no—
498C22⋊Dic83—41no—
499C22⋊Dic83—41no—
500C22⋊Dic83—41no—
501C22⋊Dic83—41no—
502C22⋊Dic83—41no—
503C22⋊Dic83—41no—
504(C2×D83)⋊C4—41no—
505(C2×D83)⋊C4—41no—
506(C2×D83)⋊C4—41no—
507(C2×D83)⋊C4—41no—
508(C2×D83)⋊C4—41no—
509(C2×D83)⋊C4—41no—
510(C2×D83)⋊C4—41no—
511C4×Dic83—41no—
512C4×Dic83—41no—
513C4×Dic83—41no—
514C24×C83—22no—
515C24×C83—22no—
516C24×C83—22no—
517C24×C83—22no—
518C24×C83—22no—
519C24×C83—22no—
520C24×C83—22no—
521C24×C83—22no—
522C24×C83—41no—
523C24×C83—41no—
524C24×C83—41no—
525C24×C83—41no—
526C24×C83—41no—
527C24×C83—41no—
528C24×C83—41no—
529C24×C83—41no—
530C24×C83—41no—
531C24×C83—41no—
532C24×C83—41no—
533C24×C83—41no—
534C24×C83#4114yes—
535C24×C83C2411yescharacteristic
536C24×C83C2411yescharacteristic
537C24×C83C2411yescharacteristic
538C24×C83C2411yescharacteristic
539C24×C83C2411yescharacteristic
540C24×C83C2411yescharacteristic
541C24×C83C2411yescharacteristic
542C2×D4×C83—22no—
543C2×D4×C83—22no—
544C2×D4×C83—22no—
545C2×D4×C83—22no—
546C2×D4×C83—22no—
547C2×D4×C83—22no—
548C2×D4×C83—22no—
549C2×D4×C83—22no—
550C2×D4×C83—22no—
551C2×D4×C83—22no—
552C2×D4×C83—22no—
553C2×D4×C83—22no—
554C2×D4×C83—22no—
555C2×D4×C83—22no—
556C2×D4×C83—22no—
557C2×D4×C83—22no—
558C2×D4×C83—22no—
559C2×D4×C83—22no—
560C2×D4×C83—22no—
561C2×D4×C83—22no—
562C2×D4×C83—41no—
563C2×D4×C83—41no—
564C2×D4×C83—41no—
565C2×D4×C83—41no—
566C2×D4×C83—41no—
567C2×D4×C83—41no—
568C2×D4×C83—41no—
569C2×D4×C83—41no—
570C2×D4×C83—41no—
571C2×D4×C83—41no—
572C2×D4×C83—41no—
573C2×D4×C83—41no—
574C2×D4×C83—41no—
575C2×D4×C83—41no—
576C2×D4×C83—41no—
577C2×D4×C83—41no—
578C2×D4×C83—416no—
579C2×D4×C83—416no—
580C22×C4×C83—22no—
581C22×C4×C83—22no—
582C22×C4×C83—41no—
583C22×C4×C83—41no—
584C22×C4×C83—41no—
585C22×C4×C83—41no—
586C22×C4×C83C2411yescharacteristic
587C22×C4×C83C2411yescharacteristic
588C22×C4×C83C2411yescharacteristic
589C22×C4×C83C2411yescharacteristic
590C22×C4×C83C2411yescharacteristic
591C22×C4×C83C2411yescharacteristic
592C22×C4×C83C2411yescharacteristic
593C22×C4×C83C2411yescharacteristic
594C22⋊C4×C83—22no—
595C22⋊C4×C83—22no—
596C22⋊C4×C83—41no—
597C22⋊C4×C83—41no—
598C22⋊C4×C83—41no—
599C22⋊C4×C83—41no—
600C22⋊C4×C83—41no—
601C22⋊C4×C83—41no—
602C22⋊C4×C83—41no—
603C22⋊C4×C83—41no—
604C22⋊C4×C83—41no—
605C22⋊C4×C83—41no—
606C22⋊C4×C83—41no—
607C22⋊C4×C83—41no—
608C23×C83—21no—
609C23×C83—21no—
610C23×C83—21no—
611C23×C83—21no—
612C23×C83—28no—
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—21no—
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—28no—
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—21no—
648C23×C83—21no—
649C23×C83—21no—
650C23×C83—21no—
651C23×C83—21no—
652C23×C83—44no—
653C23×C83—44no—
654C23×C83—44no—
655C23×C83—44no—
656C23×C83—44no—
657C23×C83—44no—
658C23×C83—44no—
659C23×C83—44no—
660C23×C83—44no—
661C23×C83—82no—
662C23×C83—82no—
663C23×C83—82no—
664C23×C83—82no—
665C23×C83—82no—
666C23×C83—82no—
667C23×C83—82no—
668C23×C83—82no—
669C23×C83—82no—
670C23×C83—82no—
671C23×C83C2×#4112yes—
672C23×C83C2×#4112yes—
673C23×C83C2×#4112yes—
674C23×C83H(5,𝔽2)12yes—
675C23×C83H(5,𝔽2)12yes—
676C23×C83H(5,𝔽2)12yes—
677C23×C83H(5,𝔽2)12yes—
678C23×C83C2511yescharacteristic
679C22×D83—21no—
680C22×D83—21no—
681C22×D83—21no—
682C22×D83—21no—
683C22×D83—21no—
684C22×D83—21no—
685C22×D83—21no—
686D4×C83—44no—
687D4×C83—44no—
688D4×C83—44no—
689D4×C83—44no—
690D4×C83—44no—
691D4×C83—44no—
692D4×C83—44no—
693D4×C83—44no—
694D4×C83—82no—
695D4×C83—82no—
696D4×C83—82no—
697D4×C83—82no—
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—44no—
723C2×C4×C83—44no—
724C22⋊D83—44no—
725C22⋊D83—82no—
726C22⋊D83—82no—
727C22⋊D83—82no—
728C22⋊D83—82no—
729C22⋊D83—82no—
730C22⋊D83—82no—
731C2×Dic83—21no—
732C2×Dic83—21no—
733C2×Dic83—21no—
734C2×Dic83—21no—
735C2×Dic83—21no—
736C2×Dic83—21no—
737C2×Dic83—21no—
738C2×Dic83—21no—
739C2×Dic83—21no—
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—44no—
776C2×Dic83—44no—
777C2×Dic83—44no—
778C2×Dic83—44no—
779C2×Dic83—44no—
780C2×Dic83—44no—
781C2×Dic83—82no—
782C2×Dic83—82no—
783C2×Dic83—82no—
784C2×Dic83—82no—
785C2×Dic83H(5,𝔽2)12yes—
786C4×D83—82no—
787Dic166—82no—
788C22×C83—22no—
789C22×C83—22no—
790C22×C83—22no—
791C22×C83—22no—
792C22×C83—22no—
793C22×C83—22no—
794C22×C83—22no—
795C22×C83—22no—
796C22×C83—22no—
797C22×C83—22no—
798C22×C83—22no—
799C22×C83—22no—
800C22×C83—22no—
801C22×C83—22no—
802C22×C83—22no—
803C22×C83—22no—
804C22×C83—22no—
805C22×C83—22no—
806C22×C83—416no—
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—41no—
825C22×C83—41no—
826C22×C83—41no—
827C22×C83—41no—
828C22×C83—41no—
829C22×C83—41no—
830C22×C83—41no—
831C22×C83—41no—
832C22×C83—41no—
833C22×C83—41no—
834C22×C83—41no—
835C22×C83—41no—
836C22×C83—41no—
837C22×C83—88no—
838C22×C83—88no—
839C22×C83#53814yes—
840C22×C83C22×#4111yescharacteristic
841C22×C83C2×H(5,𝔽2)11yescharacteristic
842C22×C83C2×H(5,𝔽2)11yescharacteristic
843C22×C83C2×H(5,𝔽2)11yescharacteristic
844C22×C83C2×H(5,𝔽2)11yescharacteristic
845C22×C83C2×H(5,𝔽2)11yescharacteristic
846C22×C83#58511yescharacteristic
847C2×D83—41no—
848C2×D83—41no—
849C2×D83—41no—
850C2×D83—41no—
851C2×D83—41no—
852C2×D83—41no—
853C2×D83—41no—
854C4×C83—41no—
855C4×C83—41no—
856C4×C83—41no—
857C4×C83—41no—
858C4×C83—41no—
859C4×C83—41no—
860C4×C83—41no—
861C4×C83—41no—
862Dic83—22no—
863Dic83—41no—
864Dic83—41no—
865Dic83—41no—
866Dic83—41no—
867Dic83—41no—
868Dic83—41no—
869Dic83—41no—
870Dic83—41no—
871Dic83—41no—
872Dic83—41no—
873Dic83—41no—
874Dic83—41no—
875Dic83—41no—
876Dic83—41no—
877#36776—831nomaximal, Sylow
878C2×C83—24no—
879C2×C83—42no—
880C2×C83—42no—
881C2×C83—42no—
882C2×C83—42no—
883C2×C83—81no—
884C2×C83—81no—
885C2×C83C2×#53811yescharacteristic
886C2×C83#349011yescharacteristic
887C2×C83#350511yescharacteristic
888C2×C83#353211yescharacteristic
889C2×C83#353411yescharacteristic
890C2×C83#353411yescharacteristic
891C2×C83#353711yescharacteristic
892D83—81no—
893#2849—831no—
894#2847—831no—
895#2778—831no—
896#2778—831no—
897#2760—831no—
898#2750—831no—
899#2749—831no—
900#2749—831no—
901#2743—831no—
902#2703—831no—
903#2697—831no—
904#2696—831no—
905#2688—831no—
906#2688—831no—
907#2684—831no—
908#2678—831no—
909#2676—831no—
910#2668—831no—
911#2643—831no—
912#2639—831no—
913#2510—831no—
914#2472—831no—
915#2444—831no—
916#2437—831no—
917#2424—831no—
918#2410—831no—
919#2410—831no—
920#2403D8311yescharacteristic, complemented
921#2321—831no—
922#2308—831no—
923C2×#386—831no—
924C83#3677611yescharacteristic, complemented, Sylow
925C23×D4C2×D8311yescharacteristic
926C23×D4C2×D8311yescharacteristic
927C24×C4—831no—
928C2×#124—831no—
929C2×#123—831no—
930C2×#123—831no—
931C2×C22⋊Q8—831no—
932C2×C22⋊Q8—831no—
933C2×#121—831no—
934C2×#121—831no—
935C2×#121—831no—
936C2×#121—831no—
937C2×#121—831no—
938C2×#121—831no—
939C2×#121—831no—
940C2×#120—831no—
941C2×#120—831no—
942C2×#120—831no—
943C2×#120C2×D8311yescharacteristic
944C2×#120C2×D8311yescharacteristic
945C2×#120C2×D8311yescharacteristic
946C2×#120C2×D8311yescharacteristic
947C2×C4×D4—831no—
948C22×C22⋊C4—831no—
949C22×C22⋊C4—831no—
950C22×C22⋊C4—831no—
951C22×C22⋊C4—831no—
952#401—831no—
953#401—831no—
954#400—831no—
955#400—831no—
956#400—831no—
957#400—831no—
958#400—831no—
959#400—831no—
960#400—831no—
961#399—831no—
962#397—831no—
963#397—831no—
964#397—831no—
965#397—831no—
966#397—831no—
967#397—831no—
968#397—831no—
969#397—831no—
970#397—831no—
971#397—831no—
972#396—831no—
973#396—831no—
974#396—831no—
975#396—831no—
976#394—831no—
977#394—831no—
978#394—831no—
979#394—831no—
980#394—831no—
981#394—831no—
982#394—831no—
983#394—831no—
984#394—831no—
985#394—831no—
986#394—831no—
987#393—831no—
988#393—831no—
989#393—831no—
990#393—831no—
991#392—831no—
992#392—831no—
993#392—831no—
994#392—831no—
995#392—831no—
996#392C2×D8311yescharacteristic
997#392C2×D8311yescharacteristic
998#392C2×D8311yescharacteristic
999#392C2×D8311yescharacteristic
1000#390—831no—
1001#390—831no—
1002#390—831no—
1003#390—831no—
1004#388—831no—
1005#388—831no—
1006#388—831no—
1007#388—831no—
1008#388—831no—
1009#388—831no—
1010#388—831no—
1011#388—831no—
1012#388—831no—
1013#388—831no—
1014#387—831no—
1015#387—831no—
1016#386—831no—
1017#386—831no—
1018#386—831no—
1019#386—831no—
1020#386—831no—
1021#386—831no—
1022#386—831no—
1023#386—831no—
1024#386—831no—
1025#386—831no—
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#386C2×D8311yescharacteristic
1050#386C2×D8311yescharacteristic
1051#386C2×D8311yescharacteristic
1052#386C2×D8311yescharacteristic
1053#385—831no—
1054#385—831no—
1055#385—831no—
1056#385—831no—
1057#385—831no—
1058#385—831no—
1059#385—831no—
1060#385—831no—
1061#385—831no—
1062#383—831no—
1063#381—831no—
1064#381—831no—
1065#381—831no—
1066#381—831no—
1067#381—831no—
1068#380—831no—
1069#380—831no—
1070#380—831no—
1071#380—831no—
1072#379—831no—
1073#379—831no—
1074#379—831no—
1075#379—831no—
1076#379C2×D8311yescharacteristic
1077C4×C22⋊C4—831no—
1078C2×#95—831no—
1079C2×#95—831no—
1080C25C22×D8311yescharacteristic
1081C25C22×D8311yescharacteristic
1082C25C22×D8311yescharacteristic
1083C22×Q8—831no—
1084C22×D4—24no—
1085C22×D4—24no—
1086C22×D4—42no—
1087C22×D4—42no—
1088C22×D4—42no—
1089C22×D4—42no—
1090C22×D4—831no—
1091C22×D4—831no—
1092C22×D4—831no—
1093C22×D4—831no—
1094C22×D4—831no—
1095C22×D4—831no—
1096C22×D4—831no—
1097C22×D4C22×D8311yescharacteristic
1098C22×D4C22×D8311yescharacteristic
1099C22×D4C22×D8311yescharacteristic
1100C22×D4C22×D8311yescharacteristic
1101C22×D4C22×D8311yescharacteristic
1102C22×D4C22×D8311yescharacteristic
1103C22×D4C22×D8311yescharacteristic
1104C22×D4C22×D8311yescharacteristic
1105C22×D4C22×D8311yescharacteristic
1106C22×D4C22×D8311yescharacteristic
1107C22×D4C22×D8311yescharacteristic
1108C22×D4C22×D8311yescharacteristic
1109C23×C4—3322no—
1110C23×C4—3322no—
1111C23×C4—3322no—
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×C4C22×D8311yescharacteristic
1124C23×C4C22×D8311yescharacteristic
1125#124—3322no—
1126#123—3322no—
1127#123—3322no—
1128C22⋊Q8—3322no—
1129C22⋊Q8—3322no—
1130#121—3322no—
1131#121—3322no—
1132#121—3322no—
1133#121—3322no—
1134#121—3322no—
1135#121—3322no—
1136#121—3322no—
1137#120—42no—
1138#120—42no—
1139#120—42no—
1140#120—42no—
1141#120—3322no—
1142#120—3322no—
1143#120—1664no—
1144C4×D4—3322no—
1145C2×C4⋊C4—831no—
1146C2×C4⋊C4—831no—
1147C2×C4⋊C4—831no—
1148C2×C4⋊C4—831no—
1149C2×C4⋊C4—831no—
1150C2×C4⋊C4—831no—
1151C2×C4⋊C4—831no—
1152C2×C4⋊C4—831no—
1153C2×C4⋊C4—831no—
1154C2×C4⋊C4—831no—
1155C2×C4⋊C4—831no—
1156C2×C4⋊C4—831no—
1157C2×C4⋊C4—831no—
1158C2×C4⋊C4—831no—
1159C2×C4⋊C4—831no—
1160C2×C4⋊C4—831no—
1161C2×C22⋊C4—3322no—
1162C2×C22⋊C4—3322no—
1163C2×C22⋊C4—3322no—
1164C2×C22⋊C4—3322no—
1165C2×C22⋊C4—831no—
1166C2×C22⋊C4—831no—
1167C2×C22⋊C4—831no—
1168C2×C22⋊C4—831no—
1169C2×C22⋊C4—831no—
1170C2×C22⋊C4—831no—
1171C2×C22⋊C4—831no—
1172C2×C22⋊C4—831no—
1173C2×C22⋊C4—831no—
1174C2×C22⋊C4—831no—
1175C2×C22⋊C4—831no—
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—831no—
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⋊C4C22×D8311yescharacteristic
1212C2×C22⋊C4C22×D8311yescharacteristic
1213C2×C22⋊C4C22×D8311yescharacteristic
1214C2×C22⋊C4C22×D8311yescharacteristic
1215C2×C22⋊C4C22×D8311yescharacteristic
1216C2×C22⋊C4C22×D8311yescharacteristic
1217C2×C22⋊C4C22×D8311yescharacteristic
1218C2×C22⋊C4C22×D8311yescharacteristic
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×C42—831no—
1226C2×C42—831no—
1227C2×C42—831no—
1228#95—831no—
1229#95—831no—
1230#95—831no—
1231#95—831no—
1232#95—831no—
1233#95—831no—
1234#95—831no—
1235#95—831no—
1236#95—831no—
1237#95—831no—
1238#95—831no—
1239#95—831no—
1240#95—831no—
1241#95—831no—
1242#95—831no—
1243#95—831no—
1244#95—831no—
1245#95—831no—
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#95C22×D8311yescharacteristic
1265#95C22×D8311yescharacteristic
1266#95C22×D8311yescharacteristic
1267#95C22×D8311yescharacteristic
1268C24—22no—
1269C24—22no—
1270C24—22no—
1271C24—22no—
1272C24—22no—
1273C24—22no—
1274C24—22no—
1275C24—22no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—41no—
1281C24—41no—
1282C24—41no—
1283C24—41no—
1284C24—41no—
1285C24—41no—
1286C24—41no—
1287C24—41no—
1288C24—831no—
1289C24#1305058914yes—
1290C24C23×D8311yescharacteristic
1291C24C23×D8311yescharacteristic
1292C24C23×D8311yescharacteristic
1293C24C23×D8311yescharacteristic
1294C24C23×D8311yescharacteristic
1295C24C23×D8311yescharacteristic
1296C24C23×D8311yescharacteristic
1297C2×Q8—3321no—
1298C2×Q8—3321no—
1299C2×Q8—3321no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—416no—
1337C2×D4—416no—
1338C2×D4—3321no—
1339C2×D4—3321no—
1340C2×D4—3321no—
1341C2×D4—3321no—
1342C2×D4—3321no—
1343C2×D4—3321no—
1344C2×D4—3321no—
1345C2×D4—3321no—
1346C2×D4—3321no—
1347C2×D4—3321no—
1348C2×D4—3321no—
1349C2×D4—3321no—
1350C2×D4—3321no—
1351C2×D4—1662no—
1352C2×D4—1662no—
1353C2×D4—1662no—
1354C2×D4—1662no—
1355C2×D4—1662no—
1356C2×D4—1662no—
1357C2×D4—1662no—
1358C2×D4—1662no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—3321no—
1366C22×C4—3321no—
1367C22×C4—3321no—
1368C22×C4—33216no—
1369C22×C4—3321no—
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—3321no—
1387C22×C4—3321no—
1388C22×C4—3321no—
1389C22×C4—3321no—
1390C22×C4—831no—
1391C22×C4—831no—
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×C4C23×D8311yescharacteristic
1415C22×C4C23×D8311yescharacteristic
1416C22×C4C23×D8311yescharacteristic
1417C22×C4C23×D8311yescharacteristic
1418C22×C4C23×D8311yescharacteristic
1419C22×C4C23×D8311yescharacteristic
1420C22×C4C23×D8311yescharacteristic
1421C22×C4C23×D8311yescharacteristic
1422C4⋊C4—3321no—
1423C4⋊C4—3321no—
1424C4⋊C4—3321no—
1425C4⋊C4—3321no—
1426C4⋊C4—3321no—
1427C4⋊C4—3321no—
1428C4⋊C4—3321no—
1429C4⋊C4—3321no—
1430C4⋊C4—3321no—
1431C4⋊C4—3321no—
1432C4⋊C4—3321no—
1433C4⋊C4—3321no—
1434C4⋊C4—3321no—
1435C4⋊C4—3321no—
1436C4⋊C4—1662no—
1437C4⋊C4—1662no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—3321no—
1453C22⋊C4—3321no—
1454C22⋊C4—3321no—
1455C22⋊C4—3321no—
1456C22⋊C4—3321no—
1457C22⋊C4—3321no—
1458C22⋊C4—3321no—
1459C22⋊C4—3321no—
1460C22⋊C4—3321no—
1461C22⋊C4—3321no—
1462C22⋊C4—3321no—
1463C22⋊C4—3321no—
1464C22⋊C4—3321no—
1465C22⋊C4—3321no—
1466C22⋊C4—3321no—
1467C22⋊C4—3321no—
1468C22⋊C4—3321no—
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—3321no—
1485C22⋊C4—3321no—
1486C22⋊C4—1662no—
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—
1498C42—3321no—
1499C42—3321no—
1500C42—3321no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—28no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
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—28no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—44no—
1546C23—44no—
1547C23—44no—
1548C23—44no—
1549C23—44no—
1550C23—44no—
1551C23—44no—
1552C23—44no—
1553C23—44no—
1554C23—82no—
1555C23—82no—
1556C23—82no—
1557C23—82no—
1558C23—82no—
1559C23—82no—
1560C23—82no—
1561C23—82no—
1562C23—82no—
1563C23—82no—
1564C23—1661no—
1565C23—1661no—
1566C23—1661no—
1567C23—1661no—
1568C23—1661no—
1569C23—1661no—
1570C23—1661no—
1571C23C2×#1305058912yes—
1572C23C2×#1305058912yes—
1573C23C2×#1305058912yes—
1574C23#1458183712yes—
1575C23#1458183712yes—
1576C23#1458183712yes—
1577C23#1458183712yes—
1578C23C24×D8311yescharacteristic
1579Q8—6642no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—44no—
1585D4—44no—
1586D4—44no—
1587D4—44no—
1588D4—82no—
1589D4—82no—
1590D4—82no—
1591D4—82no—
1592D4—3324no—
1593D4—6642no—
1594D4—6642no—
1595D4—6642no—
1596D4—6642no—
1597D4—6642no—
1598D4—6642no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
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—44no—
1624C2×C4—44no—
1625C2×C4—3324no—
1626C2×C4—3324no—
1627C2×C4—3324no—
1628C2×C4—3324no—
1629C2×C4—3324no—
1630C2×C4—3324no—
1631C2×C4—832no—
1632C2×C4—6642no—
1633C2×C4—6642no—
1634C2×C4—6642no—
1635C2×C4—6642no—
1636C2×C4—6642no—
1637C2×C4—1661no—
1638C2×C4—1661no—
1639C2×C4—1661no—
1640C2×C4—1661no—
1641C2×C4—1661no—
1642C2×C4—1661no—
1643C2×C4—1661no—
1644C2×C4—1661no—
1645C2×C4—1661no—
1646C2×C4—1661no—
1647C2×C4—1661no—
1648C2×C4—1661no—
1649C2×C4—1661no—
1650C2×C4—1661no—
1651C2×C4—1661no—
1652C2×C4—1661no—
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—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—416no—
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—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—88no—
1731C22—88no—
1732C22—3321no—
1733C22—3321no—
1734C22—3321no—
1735C22—3321no—
1736C22—3321no—
1737C22—3321no—
1738C22—3321no—
1739C22#1912828614yes—
1740C22C22×#1305058911yescharacteristic
1741C22H(5,𝔽2)×D8311yescharacteristic
1742C22C2×#1458183711yescharacteristic
1743C22C2×#1458183711yescharacteristic
1744C22C2×#1458183711yescharacteristic
1745C22C2×#1458183711yescharacteristic
1746C22#1912853611yescharacteristic
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—3321no—
1756C4—3321no—
1757C4—3321no—
1758C4—3321no—
1759C4—3321no—
1760C4—3321no—
1761C4—3321no—
1762C4—3321no—
1763C4—3321no—
1764C4—3321no—
1765C4—3321no—
1766C4—3321no—
1767C4—3321no—
1768C4—3321no—
1769C4—1662no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—42no—
1774C2—42no—
1775C2—81no—
1776C2—81no—
1777C2—6641no—
1778C2C2×#1912828611yescharacteristic
1779C2#2492115011yescharacteristic
1780C2#2492130011yescharacteristic
1781C2#2492161311yescharacteristic
1782C2#2492164111yescharacteristic
1783C2#2492164111yescharacteristic
1784C2#2492169311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2403C2
hypercenter#2403D83
hypocenterC83#36776
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2403

Complements

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

NH ≅ G/Ntype
1. #24915753C2semidirect
2. #24915743C2semidirect
3. #24915074C2semidirect
4. #24915074C2semidirect
5. #24914839C2semidirect
6. #24914701C2semidirect
7. #24914688C2semidirect
8. #24914686C2semidirect
9. #24914600C2semidirect
10. #24914111C2semidirect
11. #24914024C2semidirect
12. #24914012C2semidirect
13. #24913905C2semidirect
14. #24913898C2semidirect
15. #24913841C2semidirect
16. #24913788C2semidirect
17. #24913757C2semidirect
18. #24913667C2semidirect
19. #24913418C2semidirect
20. #24913393C2semidirect
21. #24912021C2semidirect
22. #24911588C2semidirect
23. #24911219C2semidirect
24. #24911129C2semidirect
25. #24910995C2semidirect
26. #24910837C2semidirect
27. #24910837C2semidirect
28. #24910118C2semidirect
29. #24910041C2semidirect
30. C2×#19127581C2semidirect
31. C83×#2403C2semidirect
32. C24×Dic83C22semidirect
33. C2×#14581779C22semidirect
34. C2×#14581773C22semidirect
35. C2×#14581773C22semidirect
36. C2×#14581769C22semidirect
37. C2×#14581769C22semidirect
40. C2×#14581764C22semidirect
41. C2×#14581764C22semidirect
42. C2×#14581764C22semidirect
43. C2×#14581764C22semidirect
44. C2×#14581763C22semidirect
46. C2×#14581761C22semidirect
47. C2×#14581761C22semidirect
48. C2×(C22⋊D83)⋊C4C22semidirect
52. C22×C22⋊Dic83C22semidirect
53. C83⋊#401C22semidirect
54. C83⋊#401C22semidirect
55. #19127643C22semidirect
56. #19127643C22semidirect
57. #19127642C22semidirect
58. #19127642C22semidirect
59. #19127642C22semidirect
60. #19127642C22semidirect
61. #19127641C22semidirect
62. #19127637C22semidirect
63. #19127630C22semidirect
64. #19127630C22semidirect
65. #19127629C22semidirect
66. #19127629C22semidirect
67. #19127629C22semidirect
68. #19127629C22semidirect
69. #19127629C22semidirect
70. #19127629C22semidirect
71. #19127626C22semidirect
72. #19127626C22semidirect
73. #19127624C22semidirect
74. #19127624C22semidirect
75. #19127624C22semidirect
76. #19127624C22semidirect
77. #19127617C22semidirect
78. #19127617C22semidirect
79. #19127616C22semidirect
80. #19127616C22semidirect
83. #19127615C22semidirect
84. #19127615C22semidirect
85. #19127615C22semidirect
86. #19127615C22semidirect
87. #19127615C22semidirect
88. #19127614C22semidirect
89. #19127613C22semidirect
90. #19127613C22semidirect
91. #19127613C22semidirect
94. #19127609C22semidirect
95. #19127609C22semidirect
96. #19127609C22semidirect
97. #19127604C22semidirect
98. #19127604C22semidirect
99. #19127601C22semidirect
100. #19127601C22semidirect
101. #19127595C22semidirect
102. #19127595C22semidirect
103. #19127595C22semidirect
104. #19127595C22semidirect
105. #19127595C22semidirect
106. #19127595C22semidirect
107. #19127589C22semidirect
108. #19127589C22semidirect
109. #19127589C22semidirect
110. #19127589C22semidirect
111. #19127583C22semidirect
112. #19127583C22semidirect
123. #19127581C22semidirect
124. #19127581C22semidirect
125. #19127581C22semidirect
126. #19127581C22semidirect
127. #19127581C22semidirect
128. #19127581C22semidirect
129. #19127581C22semidirect
130. #19127581C22semidirect
131. #19127581C22semidirect
132. #19127581C22semidirect
133. #19127581C22semidirect
134. #19127581C22semidirect
135. #19127581C22semidirect
136. #19127581C22semidirect
137. #19127580C22semidirect
138. #19127580C22semidirect
139. #19127578C22semidirect
140. #19127578C22semidirect
141. #19127578C22semidirect
142. #19127577C22semidirect
143. #19127577C22semidirect
144. #19127577C22semidirect
145. #19127577C22semidirect
146. #19127576C22semidirect
147. #19127576C22semidirect
148. #19127574C22semidirect
149. #19127574C22semidirect
150. #19127573C22semidirect
151. #19127573C22semidirect
152. #19127573C22semidirect
153. #19127573C22semidirect
154. #19127573C22semidirect
155. #19127568C22semidirect
156. #19127564C22semidirect
157. #19127564C22semidirect
158. #19127563C22semidirect
159. #19127562C22semidirect
160. #19127562C22semidirect
161. #19127559C22semidirect
162. #19127559C22semidirect
163. #19127559C22semidirect
164. #19127559C22semidirect
165. #19127557C22semidirect
166. #19127557C22semidirect
167. #19127557C22semidirect
168. #19127557C22semidirect
169. C22⋊C4×Dic83C22semidirect
170. C2×C83⋊#95C22semidirect
171. C2×C83⋊#95C22semidirect
920. #2403D83semidirect
924. C83#36776semidirect

Maximal subgroups

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

subgroupindex
#249157532
#249157432
#249150742
#249148392
#249147012
#249146882
#249146862
#249146002
#249141112
#249140242
#249140122
#249139052
#249138982
#249138412
#249137882
#249137572
#249136672
#249134182
#249133932
#249120212
#249115882
#249112192
#249111292
#249109952
#249108372
#249101182
#249100412
C2×#191275812
C83×#24032
#3677683