Finite Group Databasebeta

← #35577207

Subgroups — #35577207

Order 21248.

2314 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915789C211yesmaximal, characteristic, complemented
2#24915784C211yesmaximal, characteristic, complemented
3#24915776C211yesmaximal, characteristic, complemented
4#24915762C211yesmaximal, characteristic, complemented
5#24913527C211yesmaximal, characteristic, complemented
6#24913467C211yesmaximal, characteristic, complemented
7#24913452C211yesmaximal, characteristic, complemented
8#24913452C211yesmaximal, characteristic, complemented
9#24912122C211yesmaximal, characteristic, complemented
10#24912116C211yesmaximal, characteristic, complemented
11#24912027C211yesmaximal, characteristic, complemented
12#24912021C211yesmaximal, characteristic, complemented
13#24911970C211yesmaximal, characteristic, complemented
14#24911787C211yesmaximal, characteristic, complemented
15#24911708C211yesmaximal, characteristic, complemented
16#24911588C211yesmaximal, characteristic, complemented
17#24911509C211yesmaximal, characteristic, complemented
18#24911395C211yesmaximal, characteristic, complemented
19#24911209C211yesmaximal, characteristic, complemented
20#24911124C211yesmaximal, characteristic, complemented
21#24911020C211yesmaximal, characteristic, complemented
22#24910860C211yesmaximal, characteristic, complemented
23#24910786C211yesmaximal, characteristic, complemented
24#24910194C211yesmaximal, characteristic, complemented
25#24910124C211yesmaximal, characteristic, complemented
26#24910089C211yesmaximal, characteristic, complemented
27#24910059C211yesmaximal, characteristic, complemented
28#120×Dic83C211yesmaximal, characteristic, complemented
29C2×#19127581C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic83C211yesmaximal, characteristic, complemented
31C83×#2410C211yesmaximal, characteristic
32C24×Dic83C2211yescharacteristic
33C2×#14581785C2211yescharacteristic, complemented
34C2×#14581779C2211yescharacteristic, complemented
35C2×#14581773C2211yescharacteristic
36C2×#14581773C2211yescharacteristic
37C2×#14581773C2211yescharacteristic, complemented
38C2×#14581771C2211yescharacteristic, complemented
39C2×#14581769C2211yescharacteristic
40C2×D4×Dic83C2211yescharacteristic
41C2×D4×Dic83C2211yescharacteristic, complemented
42C2×D4×Dic83C2211yescharacteristic, complemented
43C22×C22⋊Dic83C2211yescharacteristic
44C22×C22⋊Dic83C2211yescharacteristic
45C22×C22⋊Dic83C2211yescharacteristic
46C22×C22⋊Dic83C2211yescharacteristic
47C22×C4×Dic83C2211yescharacteristic, complemented
48C22×C4×Dic83C2211yescharacteristic, complemented
49C83⋊#401C2211yescharacteristic, complemented
50#19127643C2211yescharacteristic, complemented
51#19127643C2211yescharacteristic, complemented
52#19127642C2211yescharacteristic, complemented
53#19127640C2211yescharacteristic, complemented
54#19127637C2211yescharacteristic, complemented
55#19127634C2211yescharacteristic, complemented
56#19127629C2211yescharacteristic, complemented
57#19127629C2211yescharacteristic, complemented
58#19127629C2211yescharacteristic, complemented
59#19127629C2211yescharacteristic, complemented
60#19127629C2211yescharacteristic, complemented
61#19127629C2211yescharacteristic, complemented
62#19127626C2211yescharacteristic, complemented
63#19127626C2211yescharacteristic, complemented
64#19127624C2211yescharacteristic, complemented
65#19127624C2211yescharacteristic, complemented
66#19127624C2211yescharacteristic, complemented
67#19127615C2211yescharacteristic
68#19127615C2211yescharacteristic
69#19127615C2211yescharacteristic
70#19127615C2211yescharacteristic
71#19127615C2211yescharacteristic, complemented
72#19127615C2211yescharacteristic, complemented
73#19127615C2211yescharacteristic, complemented
74#19127615C2211yescharacteristic, complemented
75#19127613C2211yescharacteristic, complemented
76#19127613C2211yescharacteristic, complemented
77#19127606C2211yescharacteristic, complemented
78#19127605C2211yescharacteristic, complemented
79#19127604C2211yescharacteristic, complemented
80#19127604C2211yescharacteristic, complemented
81#19127604C2211yescharacteristic, complemented
82#19127597C2211yescharacteristic, complemented
83#19127597C2211yescharacteristic, complemented
84#19127596C2211yescharacteristic, complemented
85#19127595C2211yescharacteristic, complemented
86#19127595C2211yescharacteristic, complemented
87#19127595C2211yescharacteristic, complemented
88#19127595C2211yescharacteristic, complemented
89#19127595C2211yescharacteristic, complemented
90#19127595C2211yescharacteristic, complemented
91#19127595C2211yescharacteristic, complemented
92#19127595C2211yescharacteristic, complemented
93#19127595C2211yescharacteristic, complemented
94#19127594C2211yescharacteristic, complemented
95#19127594C2211yescharacteristic, complemented
96#19127594C2211yescharacteristic, complemented
97#19127594C2211yescharacteristic, complemented
98#19127594C2211yescharacteristic, complemented
99#19127589C2211yescharacteristic, complemented
100#19127589C2211yescharacteristic, complemented
101#19127589C2211yescharacteristic, complemented
102#19127589C2211yescharacteristic, complemented
103#19127589C2211yescharacteristic, complemented
104#19127589C2211yescharacteristic, complemented
105#19127589C2211yescharacteristic, complemented
106#19127588C2211yescharacteristic, complemented
107#19127586C2211yescharacteristic, complemented
108#19127586C2211yescharacteristic, complemented
109#19127584C2211yescharacteristic, complemented
110#19127584C2211yescharacteristic, complemented
111#19127583C2211yescharacteristic, complemented
112#19127583C2211yescharacteristic, complemented
113#19127583C2211yescharacteristic, complemented
114#19127582C2211yescharacteristic, complemented
115#19127581C2211yescharacteristic
116#19127581C2211yescharacteristic
117#19127581C2211yescharacteristic
118#19127581C2211yescharacteristic
119#19127581C2211yescharacteristic
120#19127581C2211yescharacteristic
121#19127581C2211yescharacteristic
122#19127581C2211yescharacteristic
123#19127581C2211yescharacteristic
124#19127581C2211yescharacteristic
125#19127581C2211yescharacteristic
126#19127581C2211yescharacteristic
127#19127581C2211yescharacteristic
128#19127581C2211yescharacteristic, complemented
129#19127581C2211yescharacteristic, complemented
130#19127581C2211yescharacteristic, complemented
131#19127581C2211yescharacteristic, complemented
132#19127581C2211yescharacteristic, complemented
133#19127576C2211yescharacteristic
134#19127576C2211yescharacteristic
135#19127576C2211yescharacteristic, complemented
136#19127576C2211yescharacteristic, complemented
137#19127574C2211yescharacteristic
138#19127574C2211yescharacteristic
139#19127574C2211yescharacteristic, complemented
140#19127574C2211yescharacteristic, complemented
141#19127573C2211yescharacteristic
142#19127573C2211yescharacteristic, complemented
143#19127568C2211yescharacteristic, complemented
144#19127568C2211yescharacteristic, complemented
145#19127566C2211yescharacteristic, complemented
146#19127565C2211yescharacteristic, complemented
147#19127562C2211yescharacteristic, complemented
148#19127562C2211yescharacteristic, complemented
149#19127561C2211yescharacteristic, complemented
150#19127559C2211yescharacteristic
151#19127559C2211yescharacteristic
152#19127559C2211yescharacteristic
153#19127559C2211yescharacteristic, complemented
154#19127557C2211yescharacteristic
155#19127557C2211yescharacteristic
156#19127557C2211yescharacteristic
157C22⋊C4×Dic83C2211yescharacteristic
158C22⋊C4×Dic83C2211yescharacteristic
159C22⋊C4×Dic83C2211yescharacteristic
160C22⋊C4×Dic83C2211yescharacteristic
161C22⋊C4×Dic83C2211yescharacteristic
162C22⋊C4×Dic83C2211yescharacteristic, complemented
163C22⋊C4×Dic83C2211yescharacteristic, complemented
164C22⋊C4×Dic83C2211yescharacteristic, complemented
165C22⋊C4×Dic83C2211yescharacteristic, complemented
166C22⋊C4×Dic83C2211yescharacteristic, complemented
167C22⋊C4×Dic83C2211yescharacteristic, complemented
168C2×C83⋊#95C2211yescharacteristic
169C2×C83⋊#95C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic, complemented
171C2×C83⋊#95C2211yescharacteristic, complemented
172C23×D4×C83C2211yescharacteristic
173C2×#121×C83C2211yescharacteristic
174C2×#121×C83C2211yescharacteristic
175C2×#120×C83C2211yescharacteristic
176C2×#120×C83C2211yescharacteristic
177C22×C22⋊C4×C83C2211yescharacteristic
178#394×C83C2211yescharacteristic
179#394×C83C2211yescharacteristic
180#392×C83C2211yescharacteristic
181#392×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic
183#386×C83C2211yescharacteristic
184#386×C83C2211yescharacteristic
185#385×C83C2211yescharacteristic
186#379×C83C2211yescharacteristic
187C22×Dic166C2311yescharacteristic
188C23×Dic83—24no—
189C23×Dic83—42no—
190C23×Dic83—42no—
191C23×Dic83C2311yescharacteristic
192C23×Dic83C2311yescharacteristic
193C23×Dic83C2311yescharacteristic
194C23×Dic83C2311yescharacteristic
195C23×Dic83C2311yescharacteristic
196C23×Dic83C2311yescharacteristic
197C23×Dic83C2311yescharacteristic
198C23×Dic83C2311yescharacteristic
199C23×Dic83C2311yescharacteristic
200C23×Dic83C2311yescharacteristic
201C23×Dic83C2311yescharacteristic
202#14581785—42no—
203#14581779—42no—
204#14581773—42no—
205#14581773—42no—
206#14581773—42no—
207#14581771—42no—
208#14581769—24no—
209D4×Dic83—24no—
210D4×Dic83—42no—
211D4×Dic83—42no—
212C2×C4⋊Dic83C2311yescharacteristic
213C2×C4⋊Dic83C2311yescharacteristic
214C2×C4⋊Dic83C2311yescharacteristic
215C2×C4⋊Dic83C2311yescharacteristic
216C2×C4⋊Dic83C2311yescharacteristic
217C2×C4⋊Dic83C2311yescharacteristic
218C2×Dic83⋊C4C2311yescharacteristic
219C2×Dic83⋊C4C2311yescharacteristic
220C2×Dic83⋊C4C2311yescharacteristic
221C2×Dic83⋊C4C2311yescharacteristic
222C2×Dic83⋊C4C2311yescharacteristic
223C2×Dic83⋊C4C2311yescharacteristic
224C2×Dic83⋊C4C2311yescharacteristic
225C2×Dic83⋊C4C2311yescharacteristic
226C2×Dic83⋊C4C2311yescharacteristic
227C2×Dic83⋊C4C2311yescharacteristic
228C2×Dic83⋊C4C2311yescharacteristic
229C2×Dic83⋊C4C2311yescharacteristic
230C2×Dic83⋊C4C2311yescharacteristic
231C2×Dic83⋊C4C2311yescharacteristic
232C2×C22⋊Dic83—24no—
233C2×C22⋊Dic83—24no—
234C2×C22⋊Dic83—42no—
235C2×C22⋊Dic83—42no—
236C2×C22⋊Dic83C2311yescharacteristic
237C2×C22⋊Dic83C2311yescharacteristic
238C2×C22⋊Dic83C2311yescharacteristic
239C2×C22⋊Dic83C2311yescharacteristic
240C2×C22⋊Dic83C2311yescharacteristic
241C2×C22⋊Dic83C2311yescharacteristic
242C2×C22⋊Dic83C2311yescharacteristic
243C2×C22⋊Dic83C2311yescharacteristic
244C2×C22⋊Dic83C2311yescharacteristic
245C2×C22⋊Dic83C2311yescharacteristic
246C2×C22⋊Dic83C2311yescharacteristic
247C2×C22⋊Dic83C2311yescharacteristic
248C2×C22⋊Dic83C2311yescharacteristic
249C2×C22⋊Dic83C2311yescharacteristic
250C2×C22⋊Dic83C2311yescharacteristic
251C2×C22⋊Dic83C2311yescharacteristic
252C2×C22⋊Dic83C2311yescharacteristic
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×C22⋊Dic83C2311yescharacteristic
256C2×C22⋊Dic83C2311yescharacteristic
257C2×C22⋊Dic83C2311yescharacteristic
258C2×C22⋊Dic83C2311yescharacteristic
259C2×C22⋊Dic83C2311yescharacteristic
260C2×C22⋊Dic83C2311yescharacteristic
261C2×C22⋊Dic83C2311yescharacteristic
262C2×C22⋊Dic83C2311yescharacteristic
263C2×C22⋊Dic83C2311yescharacteristic
264C2×C22⋊Dic83C2311yescharacteristic
265C2×C22⋊Dic83C2311yescharacteristic
266C2×C22⋊Dic83C2311yescharacteristic
267C2×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×C22⋊Dic83C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×C22⋊Dic83C2311yescharacteristic
272C2×C22⋊Dic83C2311yescharacteristic
273C2×C4×Dic83—42no—
274C2×C4×Dic83—42no—
275C2×C4×Dic83C2311yescharacteristic
276C2×C4×Dic83C2311yescharacteristic
277C2×C4×Dic83C2311yescharacteristic
278C2×C4×Dic83C2311yescharacteristic
279C2×C4×Dic83C2311yescharacteristic
280C2×C4×Dic83C2311yescharacteristic
281C2×C4×Dic83C2311yescharacteristic
282C2×C4×Dic83C2311yescharacteristic
283C2×C4×Dic83C2311yescharacteristic
284C2×C4×Dic83C2311yescharacteristic
285C2×C4×Dic83C2311yescharacteristic
286C83⋊#95C2311yescharacteristic
287C83⋊#95C2311yescharacteristic
288C83⋊#95C2311yescharacteristic
289C83⋊#95C2311yescharacteristic
290C83⋊#95C2311yescharacteristic
291C83⋊#95C2311yescharacteristic
292C83⋊#95C2311yescharacteristic
293C83⋊#95C2311yescharacteristic
294C83⋊#95C2311yescharacteristic
295C83⋊#95C2311yescharacteristic
296C83⋊#95C2311yescharacteristic
297C83⋊#95C2311yescharacteristic
298C83⋊#95C2311yescharacteristic
299C83⋊#95C2311yescharacteristic
300C83⋊#95C2311yescharacteristic
301C83⋊#95C2311yescharacteristic
302C83⋊#95C2311yescharacteristic
303C83⋊#95C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C25×C83C2311yescharacteristic
327C25×C83C2311yescharacteristic
328C22×D4×C83—24no—
329C22×D4×C83—42no—
330C22×D4×C83—42no—
331C22×D4×C83C2311yescharacteristic
332C22×D4×C83C2311yescharacteristic
333C22×D4×C83C2311yescharacteristic
334C22×D4×C83C2311yescharacteristic
335C22×D4×C83C2311yescharacteristic
336C22×D4×C83C2311yescharacteristic
337C22×D4×C83C2311yescharacteristic
338C22×D4×C83C2311yescharacteristic
339C22×D4×C83C2311yescharacteristic
340C23×C4×C83C2311yescharacteristic
341C23×C4×C83C2311yescharacteristic
342C23×C4×C83C2311yescharacteristic
343#121×C83—42no—
344#121×C83—42no—
345#120×C83—24no—
346#120×C83—24no—
347C2×C4⋊C4×C83C2311yescharacteristic
348C2×C4⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83—24no—
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
369C2×Dic166—22no—
370C2×Dic166—41no—
371C2×Dic166—41no—
372C22×Dic83—22no—
373C22×Dic83—22no—
374C22×Dic83—22no—
375C22×Dic83—22no—
376C22×Dic83—22no—
377C22×Dic83—22no—
378C22×Dic83—22no—
379C22×Dic83—22no—
380C22×Dic83—22no—
381C22×Dic83—22no—
382C22×Dic83—22no—
383C22×Dic83—22no—
384C22×Dic83—22no—
385C22×Dic83—22no—
386C22×Dic83—22no—
387C22×Dic83—22no—
388C22×Dic83—22no—
389C22×Dic83—41no—
390C22×Dic83—41no—
391C22×Dic83—41no—
392C22×Dic83—41no—
393C22×Dic83—41no—
394C22×Dic83—41no—
395C22×Dic83—41no—
396C22×Dic83—41no—
397C22×Dic83—41no—
398C22×Dic83—41no—
399C22×Dic83—41no—
400C22×Dic83—41no—
401C22×Dic83—41no—
402C22×Dic83—41no—
403C22×Dic83—41no—
404C22×Dic83—416no—
405C22×Dic83#4114yes—
406C22×Dic83C2411yescharacteristic
407C22×Dic83C2411yescharacteristic
408C22×Dic83C2411yescharacteristic
409C22×Dic83C2411yescharacteristic
410C22×Dic83C2411yescharacteristic
411C22×Dic83C2411yescharacteristic
412C22×Dic83C2411yescharacteristic
413C22×Dic83C2411yescharacteristic
414C22×Dic83C2411yescharacteristic
415C22×Dic83C2411yescharacteristic
416C22×Dic83C2411yescharacteristic
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C4⋊Dic83—22no—
423C4⋊Dic83—22no—
424C4⋊Dic83—22no—
425C4⋊Dic83—41no—
426C4⋊Dic83—41no—
427C4⋊Dic83—41no—
428Dic83⋊C4—22no—
429Dic83⋊C4—22no—
430Dic83⋊C4—41no—
431Dic83⋊C4—41no—
432Dic83⋊C4—41no—
433Dic83⋊C4—41no—
434Dic83⋊C4—41no—
435Dic83⋊C4—41no—
436Dic83⋊C4—41no—
437Dic83⋊C4—41no—
438Dic83⋊C4—41no—
439Dic83⋊C4—41no—
440Dic83⋊C4—41no—
441Dic83⋊C4—41no—
442C22⋊Dic83—22no—
443C22⋊Dic83—22no—
444C22⋊Dic83—22no—
445C22⋊Dic83—22no—
446C22⋊Dic83—22no—
447C22⋊Dic83—22no—
448C22⋊Dic83—22no—
449C22⋊Dic83—22no—
450C22⋊Dic83—22no—
451C22⋊Dic83—22no—
452C22⋊Dic83—22no—
453C22⋊Dic83—22no—
454C22⋊Dic83—22no—
455C22⋊Dic83—22no—
456C22⋊Dic83—22no—
457C22⋊Dic83—22no—
458C22⋊Dic83—22no—
459C22⋊Dic83—22no—
460C22⋊Dic83—41no—
461C22⋊Dic83—41no—
462C22⋊Dic83—41no—
463C22⋊Dic83—41no—
464C22⋊Dic83—41no—
465C22⋊Dic83—41no—
466C22⋊Dic83—41no—
467C22⋊Dic83—41no—
468C22⋊Dic83—41no—
469C22⋊Dic83—41no—
470C22⋊Dic83—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—
479C4×Dic83—22no—
480C4×Dic83—22no—
481C4×Dic83—22no—
482C4×Dic83—41no—
483C4×Dic83—41no—
484C4×Dic83—41no—
485C4×Dic83—41no—
486C4×Dic83—41no—
487C4×Dic83—41no—
488C4×Dic83—41no—
489C4×Dic83—41no—
490C24×C83—22no—
491C24×C83—22no—
492C24×C83—22no—
493C24×C83—22no—
494C24×C83—22no—
495C24×C83—22no—
496C24×C83—22no—
497C24×C83—41no—
498C24×C83—41no—
499C24×C83—41no—
500C24×C83—41no—
501C24×C83—41no—
502C24×C83—41no—
503C24×C83#4114yes—
504C24×C83C2411yescharacteristic
505C24×C83C2411yescharacteristic
506C24×C83C2411yescharacteristic
507C24×C83C2411yescharacteristic
508C24×C83C2411yescharacteristic
509C24×C83C2411yescharacteristic
510C2×D4×C83—22no—
511C2×D4×C83—22no—
512C2×D4×C83—22no—
513C2×D4×C83—22no—
514C2×D4×C83—22no—
515C2×D4×C83—22no—
516C2×D4×C83—22no—
517C2×D4×C83—22no—
518C2×D4×C83—22no—
519C2×D4×C83—22no—
520C2×D4×C83—22no—
521C2×D4×C83—22no—
522C2×D4×C83—22no—
523C2×D4×C83—22no—
524C2×D4×C83—22no—
525C2×D4×C83—22no—
526C2×D4×C83—22no—
527C2×D4×C83—41no—
528C2×D4×C83—41no—
529C2×D4×C83—41no—
530C2×D4×C83—41no—
531C2×D4×C83—41no—
532C2×D4×C83—41no—
533C2×D4×C83—41no—
534C2×D4×C83—41no—
535C2×D4×C83—41no—
536C2×D4×C83—41no—
537C2×D4×C83—416no—
538C22×C4×C83—22no—
539C22×C4×C83—22no—
540C22×C4×C83—22no—
541C22×C4×C83—22no—
542C22×C4×C83—22no—
543C22×C4×C83—41no—
544C22×C4×C83—41no—
545C22×C4×C83—41no—
546C22×C4×C83—41no—
547C22×C4×C83C2411yescharacteristic
548C22×C4×C83C2411yescharacteristic
549C22×C4×C83C2411yescharacteristic
550C22×C4×C83C2411yescharacteristic
551C22×C4×C83C2411yescharacteristic
552C22×C4×C83C2411yescharacteristic
553C22×C4×C83C2411yescharacteristic
554C22×C4×C83C2411yescharacteristic
555C22×C4×C83C2411yescharacteristic
556C4⋊C4×C83—41no—
557C4⋊C4×C83—41no—
558C22⋊C4×C83—22no—
559C22⋊C4×C83—22no—
560C22⋊C4×C83—22no—
561C22⋊C4×C83—22no—
562C22⋊C4×C83—22no—
563C22⋊C4×C83—22no—
564C22⋊C4×C83—22no—
565C22⋊C4×C83—22no—
566C22⋊C4×C83—41no—
567C22⋊C4×C83—41no—
568C22⋊C4×C83—41no—
569C22⋊C4×C83—41no—
570C22⋊C4×C83—41no—
571C22⋊C4×C83—41no—
572C22⋊C4×C83#4114yes—
573C23×C83—21no—
574C23×C83—21no—
575C23×C83—21no—
576C23×C83—21no—
577C23×C83—21no—
578C23×C83—21no—
579C23×C83—21no—
580C23×C83—21no—
581C23×C83—28no—
582C23×C83—28no—
583C23×C83—21no—
584C23×C83—21no—
585C23×C83—21no—
586C23×C83—21no—
587C23×C83—21no—
588C23×C83—21no—
589C23×C83—21no—
590C23×C83—21no—
591C23×C83—21no—
592C23×C83—21no—
593C23×C83—21no—
594C23×C83—21no—
595C23×C83—21no—
596C23×C83—21no—
597C23×C83—21no—
598C23×C83—21no—
599C23×C83—21no—
600C23×C83—21no—
601C23×C83—21no—
602C23×C83—21no—
603C23×C83—21no—
604C23×C83—21no—
605C23×C83—21no—
606C23×C83—21no—
607C23×C83—21no—
608C23×C83—21no—
609C23×C83—21no—
610C23×C83—44no—
611C23×C83—44no—
612C23×C83—44no—
613C23×C83—44no—
614C23×C83—44no—
615C23×C83—44no—
616C23×C83—44no—
617C23×C83—44no—
618C23×C83—82no—
619C23×C83—82no—
620C23×C83—82no—
621C23×C83—82no—
622C23×C83C2×#4112yes—
623C23×C83C2×#4112yes—
624C23×C83C2×#4112yes—
625C23×C83C2×#4112yes—
626C23×C83C2×#4112yes—
627C23×C83H(5,𝔽2)12yes—
628C23×C83H(5,𝔽2)12yes—
629C23×C83C2511yescharacteristic
630D4×C83—44no—
631D4×C83—44no—
632D4×C83—44no—
633D4×C83—44no—
634D4×C83—44no—
635D4×C83—44no—
636D4×C83—44no—
637D4×C83—82no—
638D4×C83—82no—
639C2×C4×C83—21no—
640C2×C4×C83—21no—
641C2×C4×C83—21no—
642C2×C4×C83—21no—
643C2×C4×C83—21no—
644C2×C4×C83—21no—
645C2×C4×C83—21no—
646C2×C4×C83—21no—
647C2×C4×C83—21no—
648C2×C4×C83—21no—
649C2×C4×C83—21no—
650C2×C4×C83—21no—
651C2×C4×C83—21no—
652C2×C4×C83—21no—
653C2×C4×C83—21no—
654C2×C4×C83—21no—
655C2×C4×C83—21no—
656C2×C4×C83—21no—
657C2×C4×C83—21no—
658C2×C4×C83—21no—
659C2×C4×C83—21no—
660C2×C4×C83—21no—
661C2×C4×C83—21no—
662C2×C4×C83—21no—
663C2×C4×C83—21no—
664C2×C4×C83—44no—
665C2×C4×C83—44no—
666C2×C4×C83—44no—
667C2×C4×C83C2×#4112yes—
668C2×C4×C83C2×#4112yes—
669C2×Dic83—28no—
670C2×Dic83—21no—
671C2×Dic83—21no—
672C2×Dic83—21no—
673C2×Dic83—21no—
674C2×Dic83—21no—
675C2×Dic83—21no—
676C2×Dic83—21no—
677C2×Dic83—21no—
678C2×Dic83—21no—
679C2×Dic83—21no—
680C2×Dic83—21no—
681C2×Dic83—21no—
682C2×Dic83—21no—
683C2×Dic83—21no—
684C2×Dic83—21no—
685C2×Dic83—21no—
686C2×Dic83—21no—
687C2×Dic83—21no—
688C2×Dic83—21no—
689C2×Dic83—21no—
690C2×Dic83—21no—
691C2×Dic83—21no—
692C2×Dic83—21no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—21no—
707C2×Dic83—21no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—21no—
711C2×Dic83—21no—
712C2×Dic83—21no—
713C2×Dic83—21no—
714C2×Dic83—21no—
715C2×Dic83—44no—
716C2×Dic83—44no—
717C2×Dic83—44no—
718C2×Dic83—44no—
719C2×Dic83—44no—
720C2×Dic83—44no—
721C2×Dic83—44no—
722C2×Dic83—82no—
723C2×Dic83—82no—
724C2×Dic83—82no—
725C2×Dic83C2×#4112yes—
726C2×Dic83C2×#4112yes—
727C2×Dic83H(5,𝔽2)12yes—
728Dic166—82no—
729C22×C83—22no—
730C22×C83—22no—
731C22×C83—22no—
732C22×C83—22no—
733C22×C83—22no—
734C22×C83—22no—
735C22×C83—22no—
736C22×C83—22no—
737C22×C83—22no—
738C22×C83—22no—
739C22×C83—22no—
740C22×C83—22no—
741C22×C83—22no—
742C22×C83—22no—
743C22×C83—22no—
744C22×C83—416no—
745C22×C83—41no—
746C22×C83—41no—
747C22×C83—41no—
748C22×C83—41no—
749C22×C83—41no—
750C22×C83—41no—
751C22×C83—41no—
752C22×C83—41no—
753C22×C83—41no—
754C22×C83—41no—
755C22×C83—41no—
756C22×C83—41no—
757C22×C83—41no—
758C22×C83—41no—
759C22×C83—41no—
760C22×C83—41no—
761C22×C83—41no—
762C22×C83—41no—
763C22×C83—41no—
764C22×C83—41no—
765C22×C83—41no—
766C22×C83—41no—
767C22×C83—41no—
768C22×C83—41no—
769C22×C83—41no—
770C22×C83—88no—
771C22×C83#52914yes—
772C22×C83#53814yes—
773C22×C83C22×#4111yescharacteristic
774C22×C83C22×#4111yescharacteristic
775C22×C83C22×#4111yescharacteristic
776C22×C83C2×H(5,𝔽2)11yescharacteristic
777C22×C83C2×H(5,𝔽2)11yescharacteristic
778C22×C83C2×H(5,𝔽2)11yescharacteristic
779C22×C83#58511yescharacteristic
780C4×C83—22no—
781C4×C83—22no—
782C4×C83—41no—
783C4×C83—41no—
784C4×C83—41no—
785C4×C83—41no—
786C4×C83—41no—
787C4×C83—41no—
788C4×C83—41no—
789Dic83—22no—
790Dic83—22no—
791Dic83—22no—
792Dic83—41no—
793Dic83—41no—
794Dic83—41no—
795Dic83—41no—
796Dic83—41no—
797Dic83—41no—
798Dic83—41no—
799Dic83—41no—
800Dic83—41no—
801Dic83—41no—
802Dic83—41no—
803Dic83—41no—
804Dic83—41no—
805#34998—831nomaximal, Sylow
806C2×C83—24no—
807C2×C83—24no—
808C2×C83—42no—
809C2×C83—81no—
810C2×C83—81no—
811C2×C83—81no—
812C2×C83C2×#52911yescharacteristic
813C2×C83C2×#53811yescharacteristic
814C2×C83#345911yescharacteristic
815C2×C83#349011yescharacteristic
816C2×C83#349411yescharacteristic
817C2×C83#351311yescharacteristic
818C2×C83#351911yescharacteristic
819#2854—831no—
820#2853—831no—
821#2852—831no—
822#2850—831no—
823#2653—831no—
824#2649—831no—
825#2648—831no—
826#2648—831no—
827#2518—831no—
828#2518—831no—
829#2510—831no—
830#2510—831no—
831#2505—831no—
832#2488—831no—
833#2480—831no—
834#2472—831no—
835#2467—831no—
836#2459—831no—
837#2444—831no—
838#2437—831no—
839#2425—831no—
840#2412—831no—
841#2410D8311yescharacteristic
842#2405—831no—
843#2329—831no—
844#2321—831no—
845#2318—831no—
846#2312—831no—
847C4×#120—831no—
848C2×#386—831no—
849C2×C4×C22⋊C4—831no—
850C83#3499811yescharacteristic, complemented, Sylow
851C23×D4C2×D8311yescharacteristic
852C24×C4—831no—
853C2×#126—831no—
854C2×#124—831no—
855C2×#123—831no—
856C2×#123—831no—
857C2×#123—831no—
858C2×C22⋊Q8—831no—
859C2×C22⋊Q8—831no—
860C2×#121C2×D8311yescharacteristic
861C2×#121C2×D8311yescharacteristic
862C2×#120C2×D8311yescharacteristic
863C2×#120C2×D8311yescharacteristic
864C2×C4×D4—831no—
865C2×C4×D4—831no—
866C2×C4×D4—831no—
867C22×C22⋊C4—831no—
868C22×C22⋊C4—831no—
869C22×C22⋊C4—831no—
870C22×C22⋊C4—831no—
871C22×C22⋊C4C2×D8311yescharacteristic
872C22×C42—831no—
873C22×C42—831no—
874#401—831no—
875#400—831no—
876#400—831no—
877#400—831no—
878#400—831no—
879#399—831no—
880#398—831no—
881#397—831no—
882#397—831no—
883#397—831no—
884#397—831no—
885#397—831no—
886#397—831no—
887#397—831no—
888#397—831no—
889#396—831no—
890#396—831no—
891#396—831no—
892#394—831no—
893#394—831no—
894#394—831no—
895#394—831no—
896#394—831no—
897#394—831no—
898#394—831no—
899#394—831no—
900#394C2×D8311yescharacteristic
901#394C2×D8311yescharacteristic
902#393—831no—
903#393—831no—
904#392C2×D8311yescharacteristic
905#392C2×D8311yescharacteristic
906#391—831no—
907#391—831no—
908#390—831no—
909#390—831no—
910#390—831no—
911#389—831no—
912#389—831no—
913#389—831no—
914#388—831no—
915#388—831no—
916#388—831no—
917#388—831no—
918#388—831no—
919#388—831no—
920#388—831no—
921#388—831no—
922#388—831no—
923#388—831no—
924#388—831no—
925#388—831no—
926#388—831no—
927#388—831no—
928#388—831no—
929#388—831no—
930#388—831no—
931#388—831no—
932#388—831no—
933#388—831no—
934#388—831no—
935#387—831no—
936#387—831no—
937#387—831no—
938#387—831no—
939#387—831no—
940#387—831no—
941#387—831no—
942#387—831no—
943#387—831no—
944#386—831no—
945#386—831no—
946#386—831no—
947#386—831no—
948#386—831no—
949#386—831no—
950#386—831no—
951#386—831no—
952#386—831no—
953#386—831no—
954#386—831no—
955#386—831no—
956#386—831no—
957#386—831no—
958#386—831no—
959#386—831no—
960#386—831no—
961#386—831no—
962#386C2×D8311yescharacteristic
963#386C2×D8311yescharacteristic
964#386C2×D8311yescharacteristic
965#385—831no—
966#385—831no—
967#385—831no—
968#385—831no—
969#385—831no—
970#385—831no—
971#385—831no—
972#385—831no—
973#385—831no—
974#385—831no—
975#385C2×D8311yescharacteristic
976#383—831no—
977#383—831no—
978#382—831no—
979#382—831no—
980#381—831no—
981#381—831no—
982#380—831no—
983#380—831no—
984#380—831no—
985#380—831no—
986#380—831no—
987#379—831no—
988#379—831no—
989#379—831no—
990#379C2×D8311yescharacteristic
991C4×C22⋊C4—831no—
992C4×C22⋊C4—831no—
993C4×C22⋊C4—831no—
994C4×C22⋊C4—831no—
995C4×C22⋊C4—831no—
996C4×C22⋊C4—831no—
997C4×C22⋊C4—831no—
998C4×C22⋊C4—831no—
999C4×C22⋊C4—831no—
1000C4×C22⋊C4—831no—
1001C4×C22⋊C4—831no—
1002C2×#95—831no—
1003C2×#95—831no—
1004C2×#95—831no—
1005C2×#95—831no—
1006C25C22×D8311yescharacteristic
1007C25C22×D8311yescharacteristic
1008C22×Q8—831no—
1009C22×D4—24no—
1010C22×D4—42no—
1011C22×D4—42no—
1012C22×D4C22×D8311yescharacteristic
1013C22×D4C22×D8311yescharacteristic
1014C22×D4C22×D8311yescharacteristic
1015C22×D4C22×D8311yescharacteristic
1016C22×D4C22×D8311yescharacteristic
1017C22×D4C22×D8311yescharacteristic
1018C22×D4C22×D8311yescharacteristic
1019C22×D4C22×D8311yescharacteristic
1020C22×D4C22×D8311yescharacteristic
1021C23×C4—3322no—
1022C23×C4—3322no—
1023C23×C4—831no—
1024C23×C4—831no—
1025C23×C4—831no—
1026C23×C4—831no—
1027C23×C4—831no—
1028C23×C4—831no—
1029C23×C4—831no—
1030C23×C4—831no—
1031C23×C4—831no—
1032C23×C4—831no—
1033C23×C4—831no—
1034C23×C4—1664no—
1035C23×C4C22×D8311yescharacteristic
1036C23×C4C22×D8311yescharacteristic
1037C23×C4C22×D8311yescharacteristic
1038#126—3322no—
1039#124—3322no—
1040#123—3322no—
1041#123—3322no—
1042#123—3322no—
1043C22⋊Q8—3322no—
1044C22⋊Q8—1664no—
1045#121—42no—
1046#121—42no—
1047#120—24no—
1048#120—24no—
1049C4×D4—3322no—
1050C4×D4—3322no—
1051C4×D4—1664no—
1052C2×C4⋊C4—831no—
1053C2×C4⋊C4—831no—
1054C2×C4⋊C4—831no—
1055C2×C4⋊C4—831no—
1056C2×C4⋊C4—831no—
1057C2×C4⋊C4—831no—
1058C2×C4⋊C4—831no—
1059C2×C4⋊C4—831no—
1060C2×C4⋊C4—831no—
1061C2×C4⋊C4—831no—
1062C2×C4⋊C4—831no—
1063C2×C4⋊C4—831no—
1064C2×C4⋊C4—831no—
1065C2×C4⋊C4—831no—
1066C2×C4⋊C4—831no—
1067C2×C4⋊C4—831no—
1068C2×C4⋊C4—831no—
1069C2×C4⋊C4—831no—
1070C2×C4⋊C4—831no—
1071C2×C4⋊C4—831no—
1072C2×C4⋊C4C22×D8311yescharacteristic
1073C2×C4⋊C4C22×D8311yescharacteristic
1074C2×C22⋊C4—24no—
1075C2×C22⋊C4—3322no—
1076C2×C22⋊C4—3322no—
1077C2×C22⋊C4—831no—
1078C2×C22⋊C4—831no—
1079C2×C22⋊C4—831no—
1080C2×C22⋊C4—831no—
1081C2×C22⋊C4—831no—
1082C2×C22⋊C4—831no—
1083C2×C22⋊C4—831no—
1084C2×C22⋊C4—831no—
1085C2×C22⋊C4—831no—
1086C2×C22⋊C4—831no—
1087C2×C22⋊C4—831no—
1088C2×C22⋊C4—831no—
1089C2×C22⋊C4—831no—
1090C2×C22⋊C4—831no—
1091C2×C22⋊C4—831no—
1092C2×C22⋊C4—831no—
1093C2×C22⋊C4—831no—
1094C2×C22⋊C4—831no—
1095C2×C22⋊C4—831no—
1096C2×C22⋊C4—831no—
1097C2×C22⋊C4—831no—
1098C2×C22⋊C4—831no—
1099C2×C22⋊C4—831no—
1100C2×C22⋊C4—831no—
1101C2×C22⋊C4—831no—
1102C2×C22⋊C4—831no—
1103C2×C22⋊C4—831no—
1104C2×C22⋊C4—831no—
1105C2×C22⋊C4—831no—
1106C2×C22⋊C4—831no—
1107C2×C22⋊C4—831no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—831no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—1664no—
1115C2×C22⋊C4—1664no—
1116C2×C22⋊C4C22×D8311yescharacteristic
1117C2×C22⋊C4C22×D8311yescharacteristic
1118C2×C22⋊C4C22×D8311yescharacteristic
1119C2×C22⋊C4C22×D8311yescharacteristic
1120C2×C22⋊C4C22×D8311yescharacteristic
1121C2×C22⋊C4C22×D8311yescharacteristic
1122C2×C22⋊C4C22×D8311yescharacteristic
1123C2×C22⋊C4C22×D8311yescharacteristic
1124C2×C22⋊C4C22×D8311yescharacteristic
1125C2×C22⋊C4C22×D8311yescharacteristic
1126C2×C22⋊C4C22×D8311yescharacteristic
1127C2×C22⋊C4C22×D8311yescharacteristic
1128C2×C22⋊C4C22×D8311yescharacteristic
1129C2×C22⋊C4C22×D8311yescharacteristic
1130C2×C22⋊C4C22×D8311yescharacteristic
1131C2×C42—3322no—
1132C2×C42—3322no—
1133C2×C42—831no—
1134C2×C42—831no—
1135C2×C42—831no—
1136C2×C42—831no—
1137C2×C42—831no—
1138C2×C42—831no—
1139C2×C42—831no—
1140C2×C42—831no—
1141C2×C42—831no—
1142C2×C42—831no—
1143C2×C42—831no—
1144#95—831no—
1145#95—831no—
1146#95—831no—
1147#95—831no—
1148#95—831no—
1149#95—831no—
1150#95—831no—
1151#95—831no—
1152#95—831no—
1153#95—831no—
1154#95—831no—
1155#95—831no—
1156#95—831no—
1157#95—831no—
1158#95—831no—
1159#95—831no—
1160#95—831no—
1161#95—831no—
1162#95—831no—
1163#95—831no—
1164#95—831no—
1165#95—831no—
1166#95—831no—
1167#95—831no—
1168#95—831no—
1169#95—831no—
1170#95—831no—
1171#95—831no—
1172#95—831no—
1173#95—831no—
1174#95—831no—
1175#95—831no—
1176#95—831no—
1177#95—831no—
1178#95—831no—
1179#95—831no—
1180#95—831no—
1181#95—831no—
1182#95—831no—
1183#95—831no—
1184#95C22×D8311yescharacteristic
1185#95C22×D8311yescharacteristic
1186#95C22×D8311yescharacteristic
1187#95C22×D8311yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—22no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24#1305058914yes—
1202C24C23×D8311yescharacteristic
1203C24C23×D8311yescharacteristic
1204C24C23×D8311yescharacteristic
1205C24C23×D8311yescharacteristic
1206C24C23×D8311yescharacteristic
1207C24C23×D8311yescharacteristic
1208C2×Q8—3321no—
1209C2×Q8—3321no—
1210C2×Q8—1662no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—416no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—33216no—
1249C22×C4—3321no—
1250C22×C4—3321no—
1251C22×C4—3321no—
1252C22×C4—3321no—
1253C22×C4—3321no—
1254C22×C4—3321no—
1255C22×C4—3321no—
1256C22×C4—3321no—
1257C22×C4—3321no—
1258C22×C4—3321no—
1259C22×C4—3321no—
1260C22×C4—3321no—
1261C22×C4—3321no—
1262C22×C4—3321no—
1263C22×C4—3321no—
1264C22×C4—834no—
1265C22×C4—831no—
1266C22×C4—831no—
1267C22×C4—831no—
1268C22×C4—831no—
1269C22×C4—831no—
1270C22×C4—831no—
1271C22×C4—831no—
1272C22×C4—831no—
1273C22×C4—831no—
1274C22×C4—831no—
1275C22×C4—831no—
1276C22×C4—831no—
1277C22×C4—831no—
1278C22×C4—831no—
1279C22×C4—831no—
1280C22×C4—831no—
1281C22×C4—1662no—
1282C22×C4—1662no—
1283C22×C4—1662no—
1284C22×C4—1662no—
1285C22×C4—1662no—
1286C22×C4—1662no—
1287C22×C4—1662no—
1288C22×C4—1662no—
1289C22×C4—1662no—
1290C22×C4—1662no—
1291C22×C4—1662no—
1292C22×C4—1662no—
1293C22×C4—1662no—
1294C22×C4—1662no—
1295C22×C4—1662no—
1296C22×C4—1662no—
1297C22×C4—1662no—
1298C22×C4C23×D8311yescharacteristic
1299C22×C4C23×D8311yescharacteristic
1300C22×C4C23×D8311yescharacteristic
1301C22×C4C23×D8311yescharacteristic
1302C22×C4C23×D8311yescharacteristic
1303C22×C4C23×D8311yescharacteristic
1304C22×C4C23×D8311yescharacteristic
1305C22×C4C23×D8311yescharacteristic
1306C22×C4C23×D8311yescharacteristic
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—3321no—
1310C4⋊C4—3321no—
1311C4⋊C4—3321no—
1312C4⋊C4—3321no—
1313C4⋊C4—3321no—
1314C4⋊C4—3321no—
1315C4⋊C4—3321no—
1316C4⋊C4—3321no—
1317C4⋊C4—3321no—
1318C4⋊C4—3321no—
1319C4⋊C4—3321no—
1320C4⋊C4—3321no—
1321C4⋊C4—3321no—
1322C4⋊C4—3321no—
1323C4⋊C4—3321no—
1324C4⋊C4—1662no—
1325C4⋊C4—1662no—
1326C4⋊C4—1662no—
1327C4⋊C4—1662no—
1328C4⋊C4—1662no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—3321no—
1344C22⋊C4—3321no—
1345C22⋊C4—3321no—
1346C22⋊C4—3321no—
1347C22⋊C4—3321no—
1348C22⋊C4—3321no—
1349C22⋊C4—3321no—
1350C22⋊C4—3321no—
1351C22⋊C4—3321no—
1352C22⋊C4—3321no—
1353C22⋊C4—3321no—
1354C22⋊C4—3321no—
1355C22⋊C4—3321no—
1356C22⋊C4—3321no—
1357C22⋊C4—3321no—
1358C22⋊C4—3321no—
1359C22⋊C4—3321no—
1360C22⋊C4—3321no—
1361C22⋊C4—3321no—
1362C22⋊C4—1662no—
1363C22⋊C4—1662no—
1364C22⋊C4—1662no—
1365C22⋊C4—1662no—
1366C22⋊C4—1662no—
1367C22⋊C4—1662no—
1368C22⋊C4—1662no—
1369C22⋊C4—1662no—
1370C22⋊C4—1662no—
1371C22⋊C4—1662no—
1372C22⋊C4—1662no—
1373C22⋊C4—1662no—
1374C22⋊C4—1662no—
1375C22⋊C4—1662no—
1376C22⋊C4—1662no—
1377C22⋊C4—1662no—
1378C22⋊C4—1662no—
1379C22⋊C4—1662no—
1380C22⋊C4#1305058914yes—
1381C42—3321no—
1382C42—3321no—
1383C42—3321no—
1384C42—3321no—
1385C42—3321no—
1386C42—3321no—
1387C42—3321no—
1388C42—3321no—
1389C42—1662no—
1390C42—1662no—
1391C42—1662no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—28no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—28no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23—44no—
1434C23—44no—
1435C23—44no—
1436C23—44no—
1437C23—82no—
1438C23—82no—
1439C23—82no—
1440C23—82no—
1441C23#41×D8312yes—
1442C23C2×#1305058912yes—
1443C23C2×#1305058912yes—
1444C23C2×#1305058912yes—
1445C23C2×#1305058912yes—
1446C23#1458183712yes—
1447C23#1458183712yes—
1448C23C24×D8311yescharacteristic
1449Q8—6642no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—44no—
1455D4—44no—
1456D4—44no—
1457D4—82no—
1458D4—82no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—3324no—
1488C2×C4—3324no—
1489C2×C4—3324no—
1490C2×C4—3324no—
1491C2×C4—3324no—
1492C2×C4—3324no—
1493C2×C4—3324no—
1494C2×C4—832no—
1495C2×C4—832no—
1496C2×C4—832no—
1497C2×C4—6642no—
1498C2×C4—6642no—
1499C2×C4—6642no—
1500C2×C4—1661no—
1501C2×C4—1661no—
1502C2×C4—1661no—
1503C2×C4—1661no—
1504C2×C4—1661no—
1505C2×C4—1661no—
1506C2×C4—1661no—
1507C2×C4—1661no—
1508C2×C4—1661no—
1509C2×C4—1661no—
1510C2×C4—1661no—
1511C2×C4—1661no—
1512C2×C4—1661no—
1513C2×C4—1661no—
1514C2×C4—1661no—
1515C2×C4—1661no—
1516C2×C4—1661no—
1517C2×C4—1661no—
1518C2×C4—1661no—
1519C2×C4—1661no—
1520C2×C4—1661no—
1521C2×C4—1661no—
1522C2×C4—1661no—
1523C2×C4—1661no—
1524C2×C4—1661no—
1525C2×C4—1661no—
1526C2×C4—1661no—
1527C2×C4—1661no—
1528C2×C4—1661no—
1529C2×C4—1661no—
1530C2×C4—1661no—
1531C2×C4—1661no—
1532C2×C4—1661no—
1533C2×C4—1661no—
1534C2×C4—1661no—
1535C2×C4—1661no—
1536C2×C4—1661no—
1537C2×C4—1661no—
1538C2×C4—1661no—
1539C2×C4—1668no—
1540C2×C4—1661no—
1541C2×C4—1661no—
1542C2×C4—1661no—
1543C2×C4—1661no—
1544C2×C4—1661no—
1545C2×C4—1661no—
1546C2×C4C2×#1305058912yes—
1547C2×C4C2×#1305058912yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—416no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—88no—
1590C22#1912823214yes—
1591C22#1912828614yes—
1592C22C2×#41×D8311yescharacteristic
1593C22C22×#1305058911yescharacteristic
1594C22C22×#1305058911yescharacteristic
1595C22H(5,𝔽2)×D8311yescharacteristic
1596C22C2×#1458183711yescharacteristic
1597C22C2×#1458183711yescharacteristic
1598C22#1912853611yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—3321no—
1609C4—3321no—
1610C4—3321no—
1611C4—3321no—
1612C4—3321no—
1613C4—3321no—
1614C4—3321no—
1615C4—3321no—
1616C4—3321no—
1617C4—3321no—
1618C4—3321no—
1619C4—3321no—
1620C4—3321no—
1621C4—1662no—
1622C4—1662no—
1623C4—1662no—
1624C2—24no—
1625C2—24no—
1626C2—42no—
1627C2—81no—
1628C2—81no—
1629C2—81no—
1630C2C2×#1912823211yescharacteristic
1631C2C2×#1912828611yescharacteristic
1632C2#2492086911yescharacteristic
1633C2#2492114511yescharacteristic
1634C2#2492118511yescharacteristic
1635C2#2492138811yescharacteristic
1636C2#2492148211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
Fitting, prime radicalC83×#2410C2
hypercenter#2410D83
hypocenterC83#34998
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. #24915789C2semidirect
2. #24915784C2semidirect
3. #24915776C2semidirect
4. #24915762C2semidirect
5. #24913527C2semidirect
6. #24913467C2semidirect
7. #24913452C2semidirect
8. #24913452C2semidirect
9. #24912122C2semidirect
10. #24912116C2semidirect
11. #24912027C2semidirect
12. #24912021C2semidirect
13. #24911970C2semidirect
14. #24911787C2semidirect
15. #24911708C2semidirect
16. #24911588C2semidirect
17. #24911509C2semidirect
18. #24911395C2semidirect
19. #24911209C2semidirect
20. #24911124C2semidirect
21. #24911020C2semidirect
22. #24910860C2semidirect
23. #24910786C2semidirect
24. #24910194C2semidirect
25. #24910124C2semidirect
26. #24910089C2semidirect
27. #24910059C2semidirect
28. #120×Dic83C2semidirect
29. C2×#19127581C2semidirect
30. C2×C22⋊C4×Dic83C2semidirect
33. C2×#14581785C22semidirect
34. C2×#14581779C22semidirect
37. C2×#14581773C22semidirect
38. C2×#14581771C22semidirect
41. C2×D4×Dic83C22semidirect
42. C2×D4×Dic83C22semidirect
47. C22×C4×Dic83C22semidirect
48. C22×C4×Dic83C22semidirect
49. C83⋊#401C22semidirect
50. #19127643C22semidirect
51. #19127643C22semidirect
52. #19127642C22semidirect
53. #19127640C22semidirect
54. #19127637C22semidirect
55. #19127634C22semidirect
56. #19127629C22semidirect
57. #19127629C22semidirect
58. #19127629C22semidirect
59. #19127629C22semidirect
60. #19127629C22semidirect
61. #19127629C22semidirect
62. #19127626C22semidirect
63. #19127626C22semidirect
64. #19127624C22semidirect
65. #19127624C22semidirect
66. #19127624C22semidirect
71. #19127615C22semidirect
72. #19127615C22semidirect
73. #19127615C22semidirect
74. #19127615C22semidirect
75. #19127613C22semidirect
76. #19127613C22semidirect
77. #19127606C22semidirect
78. #19127605C22semidirect
79. #19127604C22semidirect
80. #19127604C22semidirect
81. #19127604C22semidirect
82. #19127597C22semidirect
83. #19127597C22semidirect
84. #19127596C22semidirect
85. #19127595C22semidirect
86. #19127595C22semidirect
87. #19127595C22semidirect
88. #19127595C22semidirect
89. #19127595C22semidirect
90. #19127595C22semidirect
91. #19127595C22semidirect
92. #19127595C22semidirect
93. #19127595C22semidirect
94. #19127594C22semidirect
95. #19127594C22semidirect
96. #19127594C22semidirect
97. #19127594C22semidirect
98. #19127594C22semidirect
99. #19127589C22semidirect
100. #19127589C22semidirect
101. #19127589C22semidirect
102. #19127589C22semidirect
103. #19127589C22semidirect
104. #19127589C22semidirect
105. #19127589C22semidirect
106. #19127588C22semidirect
107. #19127586C22semidirect
108. #19127586C22semidirect
109. #19127584C22semidirect
110. #19127584C22semidirect
111. #19127583C22semidirect
112. #19127583C22semidirect
113. #19127583C22semidirect
114. #19127582C22semidirect
128. #19127581C22semidirect
129. #19127581C22semidirect
130. #19127581C22semidirect
131. #19127581C22semidirect
132. #19127581C22semidirect
135. #19127576C22semidirect
136. #19127576C22semidirect
139. #19127574C22semidirect
140. #19127574C22semidirect
142. #19127573C22semidirect
143. #19127568C22semidirect
144. #19127568C22semidirect
145. #19127566C22semidirect
146. #19127565C22semidirect
147. #19127562C22semidirect
148. #19127562C22semidirect
149. #19127561C22semidirect
153. #19127559C22semidirect
162. C22⋊C4×Dic83C22semidirect
163. C22⋊C4×Dic83C22semidirect
164. C22⋊C4×Dic83C22semidirect
165. C22⋊C4×Dic83C22semidirect
166. C22⋊C4×Dic83C22semidirect
167. C22⋊C4×Dic83C22semidirect
170. C2×C83⋊#95C22semidirect
171. C2×C83⋊#95C22semidirect
850. C83#34998semidirect

Maximal subgroups

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

subgroupindex
#249157892
#249157842
#249157762
#249157622
#249135272
#249134672
#249134522
#249121222
#249121162
#249120272
#249120212
#249119702
#249117872
#249117082
#249115882
#249115092
#249113952
#249112092
#249111242
#249110202
#249108602
#249107862
#249101942
#249101242
#249100892
#249100592
#120×Dic832
C2×#191275812
C2×C22⋊C4×Dic832
C83×#24102
#3499883