Finite Group Databasebeta

← #34449281

Subgroups — #34449281

Order 20224.

2682 conjugacy classes of subgroups.

The subgroup lattice has 1610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099036C211yesmaximal, characteristic
2#23766374C211yesmaximal, characteristic, complemented
3#23766370C211yesmaximal, characteristic, complemented
4#23766370C211yesmaximal, characteristic, complemented
5#23766368C211yesmaximal, characteristic, complemented
6#23766350C211yesmaximal, characteristic, complemented
7#23766346C211yesmaximal, characteristic, complemented
8#23766346C211yesmaximal, characteristic, complemented
9#23766344C211yesmaximal, characteristic, complemented
10#23766251C211yesmaximal, characteristic, complemented
11#23766249C211yesmaximal, characteristic, complemented
12#23766247C211yesmaximal, characteristic, complemented
13#23766247C211yesmaximal, characteristic, complemented
14#23766245C211yesmaximal, characteristic, complemented
15#23766243C211yesmaximal, characteristic, complemented
16#23766243C211yesmaximal, characteristic, complemented
17#23766042C211yesmaximal, characteristic, complemented
18#23766041C211yesmaximal, characteristic, complemented
19#23766041C211yesmaximal, characteristic, complemented
20#23766040C211yesmaximal, characteristic, complemented
21#23766019C211yesmaximal, characteristic, complemented
22#23765981C211yesmaximal, characteristic
23#23765879C211yesmaximal, characteristic, complemented
24#23765863C211yesmaximal, characteristic, complemented
25#23765860C211yesmaximal, characteristic, complemented
26#23765860C211yesmaximal, characteristic, complemented
27#23765859C211yesmaximal, characteristic, complemented
28C2×#19098463C211yesmaximal, characteristic
29#23765755C211yesmaximal, characteristic, complemented
30C4×#14579117C211yesmaximal, characteristic, complemented
31C79×#2342C211yesmaximal, characteristic, complemented
32C23×C22⋊D79C2211yescharacteristic
33#19099036C4116yescomplemented
34C2×C4×C22⋊D79C2211yescharacteristic
35C2×C4×C22⋊D79C2211yescharacteristic
36C2×C4×C22⋊D79C2211yescharacteristic
37C2×C4×C22⋊D79C2211yescharacteristic
38C2×(C22⋊D79)⋊C4C2211yescharacteristic
39C2×(C22⋊D79)⋊C4C2211yescharacteristic
40C2×(C22⋊D79)⋊C4C2211yescharacteristic
41C2×(C22⋊D79)⋊C4C2211yescharacteristic
42C2×#14579120C2211yescharacteristic, complemented
43C2×#14579119C2211yescharacteristic, complemented
44C2×#14579119C2211yescharacteristic, complemented
45C2×#14579118C2211yescharacteristic, complemented
46C2×#14579118C2211yescharacteristic, complemented
47C2×#14579117C2211yescharacteristic
48C2×#14579117C2211yescharacteristic
49C2×#14579117C2211yescharacteristic
50C2×#14579117C2211yescharacteristic
51C2×#14579117C2211yescharacteristic, complemented
52C2×#14579117C2211yescharacteristic, complemented
53C22×Dic79⋊C4C2211yescharacteristic
54C22×C22⋊Dic79C2211yescharacteristic
55C22×C22⋊Dic79C2211yescharacteristic
56C22×(C2×D79)⋊C4C2211yescharacteristic
57C22×(C2×D79)⋊C4C2211yescharacteristic
58C2×C22⋊C4×D79C2211yescharacteristic
59C2×C22⋊C4×D79C2211yescharacteristic
60C22×C4×Dic79C2211yescharacteristic
61#19098463C2211yescharacteristic
62#19098463C2211yescharacteristic
63#19098463C2211yescharacteristic
64#19098463C2211yescharacteristic
65#19098463C2211yescharacteristic
66#19098463C2211yescharacteristic
67#19098463C2211yescharacteristic
68#19098463C2211yescharacteristic
69#19098463C2211yescharacteristic
70#19098463C2211yescharacteristic
71#19098463C2211yescharacteristic
72#19098463C2211yescharacteristic
73#19098463C2211yescharacteristic
74#19098463C2211yescharacteristic
75#19098463C2211yescharacteristic
76#19098463C2211yescharacteristic
77#19098460C2211yescharacteristic, complemented
78#19098460C2211yescharacteristic, complemented
79#19098460C2211yescharacteristic, complemented
80#19098460C2211yescharacteristic, complemented
81#19098458C2211yescharacteristic, complemented
82#19098458C2211yescharacteristic, complemented
83#19098458C2211yescharacteristic, complemented
84#19098458C2211yescharacteristic, complemented
85#19098457C2211yescharacteristic, complemented
86#19098457C2211yescharacteristic, complemented
87#19098457C2211yescharacteristic, complemented
88#19098457C2211yescharacteristic, complemented
89#19098456C2211yescharacteristic, complemented
90#19098456C2211yescharacteristic, complemented
91#19098456C2211yescharacteristic, complemented
92#19098456C2211yescharacteristic, complemented
93#19098455C2211yescharacteristic, complemented
94#19098455C2211yescharacteristic, complemented
95#19098455C2211yescharacteristic, complemented
96#19098455C2211yescharacteristic, complemented
97#19098454C2211yescharacteristic, complemented
98#19098454C2211yescharacteristic, complemented
99#19098454C2211yescharacteristic, complemented
100#19098454C2211yescharacteristic, complemented
101#19098453C2211yescharacteristic, complemented
102#19098453C2211yescharacteristic, complemented
103#19098453C2211yescharacteristic, complemented
104#19098453C2211yescharacteristic, complemented
105#19098452C2211yescharacteristic, complemented
106#19098452C2211yescharacteristic, complemented
107#19098452C2211yescharacteristic, complemented
108#19098452C2211yescharacteristic, complemented
109#19098451C2211yescharacteristic, complemented
110#19098451C2211yescharacteristic, complemented
111#19098451C2211yescharacteristic, complemented
112#19098451C2211yescharacteristic, complemented
113#19098438C2211yescharacteristic
114#19098438C2211yescharacteristic
115#19098436C2211yescharacteristic
116#19098436C2211yescharacteristic
117#19098435C2211yescharacteristic
118#19098435C2211yescharacteristic
119#19098432C2211yescharacteristic, complemented
120#19098432C2211yescharacteristic, complemented
121#19098427C2211yescharacteristic, complemented
122#19098427C2211yescharacteristic, complemented
123#19098426C2211yescharacteristic, complemented
124#19098425C2211yescharacteristic, complemented
125#19098425C2211yescharacteristic, complemented
126#19098425C2211yescharacteristic, complemented
127#19098425C2211yescharacteristic, complemented
128#19098424C2211yescharacteristic, complemented
129#19098424C2211yescharacteristic, complemented
130#19098423C2211yescharacteristic, complemented
131#19098422C2211yescharacteristic, complemented
132#19098422C2211yescharacteristic, complemented
133#19098421C2211yescharacteristic, complemented
134#19098421C2211yescharacteristic, complemented
135#19098420C2211yescharacteristic, complemented
136#19098420C2211yescharacteristic, complemented
137#19098419C2211yescharacteristic
138#19098418C2211yescharacteristic
139#19098418C2211yescharacteristic
140C4⋊C4×Dic79C2211yescharacteristic, complemented
141C4⋊C4×Dic79C2211yescharacteristic, complemented
142C4×Dic79⋊C4C2211yescharacteristic, complemented
143C4×Dic79⋊C4C2211yescharacteristic, complemented
144C4×Dic79⋊C4C2211yescharacteristic, complemented
145C4×Dic79⋊C4C2211yescharacteristic, complemented
146C4×Dic79⋊C4C2211yescharacteristic, complemented
147C4×Dic79⋊C4C2211yescharacteristic, complemented
148#19098414C2211yescharacteristic, complemented
149#19098414C2211yescharacteristic, complemented
150#19098414C2211yescharacteristic, complemented
151#19098414C2211yescharacteristic, complemented
152#19098414C2211yescharacteristic, complemented
153#19098414C2211yescharacteristic, complemented
154#19098414C2211yescharacteristic, complemented
155#19098414C2211yescharacteristic, complemented
156C22⋊C4×Dic79C2211yescharacteristic
157C22⋊C4×Dic79C2211yescharacteristic
158C22⋊C4×Dic79C2211yescharacteristic
159C22⋊C4×Dic79C2211yescharacteristic
160C22⋊C4×Dic79C2211yescharacteristic, complemented
161C22⋊C4×Dic79C2211yescharacteristic, complemented
162C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
164C4×C22⋊Dic79C2211yescharacteristic
165C4×C22⋊Dic79C2211yescharacteristic
166C4×C22⋊Dic79C2211yescharacteristic, complemented
167#19098410C2211yescharacteristic, complemented
168#19098410C2211yescharacteristic, complemented
169#19098408C2211yescharacteristic, complemented
170#19098408C2211yescharacteristic, complemented
171C42×Dic79C2211yescharacteristic, complemented
172C42×Dic79C2211yescharacteristic, complemented
173C2×#117×C79C2211yescharacteristic, complemented
174C22×C22⋊C4×C79C2211yescharacteristic
175C22×C22⋊C4×C79C2211yescharacteristic
176#388×C79C2211yescharacteristic, complemented
177#388×C79C2211yescharacteristic, complemented
178#388×C79C2211yescharacteristic, complemented
179#388×C79C2211yescharacteristic, complemented
180#385×C79C2211yescharacteristic
181#385×C79C2211yescharacteristic
182#381×C79C2211yescharacteristic, complemented
183#380×C79C2211yescharacteristic, complemented
184#379×C79C2211yescharacteristic
185C4×C22⋊C4×C79C2211yescharacteristic
186C4×C22⋊C4×C79C2211yescharacteristic
187C4×C22⋊C4×C79C2211yescharacteristic, complemented
188C24×D79C2311yescharacteristic
189C22×C22⋊D79—24no—
190C22×C22⋊D79—24no—
191C22×C22⋊D79C2×C418yes—
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C23×Dic79C2311yescharacteristic
197C23×Dic79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C23×Dic79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C22×C4×D79C2311yescharacteristic
202C22×C4×D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C4×C22⋊D79C2×C418yescomplemented
206C4×C22⋊D79C2×C418yescomplemented
207C4×C22⋊D79C2×C418yescomplemented
208C4×C22⋊D79C2×C418yescomplemented
209(C22⋊D79)⋊C4C2×C418yescomplemented
210(C22⋊D79)⋊C4C2×C418yescomplemented
211(C22⋊D79)⋊C4C2×C418yescomplemented
212(C22⋊D79)⋊C4C2×C418yescomplemented
213#14579120—42no—
214#14579119—42no—
215#14579119—42no—
216#14579118—42no—
217#14579118—42no—
218#14579117—24no—
219#14579117—24no—
220#14579117—42no—
221#14579117—42no—
222#14579117C2×C418yes—
223#14579117C2×C418yes—
224C2×C4⋊Dic79C2311yescharacteristic
225C2×C4⋊Dic79C2311yescharacteristic
226C2×C4⋊Dic79C2311yescharacteristic
227C2×C4⋊Dic79C2311yescharacteristic
228C2×Dic79⋊C4—24no—
229C2×Dic79⋊C4C2311yescharacteristic
230C2×Dic79⋊C4C2311yescharacteristic
231C2×Dic79⋊C4C2311yescharacteristic
232C2×Dic79⋊C4C2311yescharacteristic
233C2×Dic79⋊C4C2311yescharacteristic
234C2×Dic79⋊C4C2311yescharacteristic
235C2×Dic79⋊C4C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×C22⋊Dic79—42no—
250C2×C22⋊Dic79C2×C418yes—
251C2×C22⋊Dic79C2311yescharacteristic
252C2×C22⋊Dic79C2311yescharacteristic
253C2×C22⋊Dic79C2311yescharacteristic
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×C22⋊Dic79C2311yescharacteristic
265C2×(C2×D79)⋊C4—42no—
266C2×(C2×D79)⋊C4—42no—
267C2×(C2×D79)⋊C4C2311yescharacteristic
268C2×(C2×D79)⋊C4C2311yescharacteristic
269C2×(C2×D79)⋊C4C2311yescharacteristic
270C2×(C2×D79)⋊C4C2311yescharacteristic
271C2×(C2×D79)⋊C4C2311yescharacteristic
272C2×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C22⋊C4×D79C2×C418yes—
288C22⋊C4×D79C2×C418yes—
289C2×C4×Dic79—24no—
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C2×C4×Dic79C2311yescharacteristic
293C2×C4×Dic79C2311yescharacteristic
294C2×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C2×C4×Dic79C2311yescharacteristic
297C2×C4×Dic79C2311yescharacteristic
298C2×C4×Dic79C2311yescharacteristic
299C2×C4×Dic79C2311yescharacteristic
300C2×C4×Dic79C2311yescharacteristic
301C2×C4×Dic79C2311yescharacteristic
302C2×C4×Dic79C2311yescharacteristic
303C2×C4×Dic79C2311yescharacteristic
304C2×C4×Dic79C2311yescharacteristic
305C2×C4×Dic79C2311yescharacteristic
306C2×C4×Dic79C2311yescharacteristic
307C2×C4×Dic79C2311yescharacteristic
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
310C2×C4×Dic79C2311yescharacteristic
311C2×C4×Dic79C2311yescharacteristic
312C2×C4×Dic79C2311yescharacteristic
313C2×C4×Dic79C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C25×C79C2311yescharacteristic
339C23×C4×C79C2311yescharacteristic
340C23×C4×C79C2311yescharacteristic
341C23×C4×C79C2311yescharacteristic
342C23×C4×C79C2311yescharacteristic
343#117×C79—42no—
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C4⋊C4×C79C2311yescharacteristic
346C2×C4⋊C4×C79C2311yescharacteristic
347C2×C4⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79—42no—
349C2×C22⋊C4×C79C2×C418yes—
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C22⋊C4×C79C2311yescharacteristic
354C2×C22⋊C4×C79C2311yescharacteristic
355C2×C22⋊C4×C79C2311yescharacteristic
356C2×C22⋊C4×C79C2311yescharacteristic
357C2×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C22⋊C4×C79C2311yescharacteristic
361C2×C22⋊C4×C79C2311yescharacteristic
362C2×C22⋊C4×C79C2311yescharacteristic
363C2×C22⋊C4×C79C2311yescharacteristic
364C2×C42×C79C2311yescharacteristic
365C2×C42×C79C2311yescharacteristic
366C2×C42×C79C2311yescharacteristic
367C2×C42×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369#95×C79C2311yescharacteristic
370#95×C79C2311yescharacteristic
371#95×C79C2311yescharacteristic
372#95×C79C2311yescharacteristic
373#95×C79C2311yescharacteristic
374#95×C79C2311yescharacteristic
375#95×C79C2311yescharacteristic
376C23×D79—22no—
377C23×D79—22no—
378C23×D79—41no—
379C23×D79—41no—
380C23×D79—41no—
381C23×D79—41no—
382C23×D79C22×C414yes—
383C23×D79C2411yescharacteristic
384C23×D79C2411yescharacteristic
385C2×C22⋊D79—232no—
386C2×C22⋊D79—22no—
387C2×C22⋊D79—22no—
388C2×C22⋊D79—22no—
389C2×C22⋊D79—22no—
390C2×C22⋊D79—22no—
391C2×C22⋊D79—22no—
392C2×C22⋊D79—22no—
393C2×C22⋊D79—22no—
394C2×C22⋊D79C22×C414yes—
395C2×C22⋊D79C22×C414yes—
396C2×C22⋊D79C22×C414yes—
397C2×C22⋊D79C22×C414yes—
398C22×Dic79—22no—
399C22×Dic79—22no—
400C22×Dic79—22no—
401C22×Dic79—41no—
402C22×Dic79—41no—
403C22×Dic79—41no—
404C22×Dic79—41no—
405C22×Dic79—41no—
406C22×Dic79—41no—
407C22×Dic79—41no—
408C22×Dic79C22×C414yes—
409C22×Dic79C22×C414yes—
410C22×Dic79C22×C414yes—
411C22×Dic79#4114yes—
412C22×Dic79#4114yes—
413C22×Dic79C2411yescharacteristic
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C2×C4×D79—41no—
428C2×C4×D79—41no—
429C2×C4×D79—41no—
430C2×C4×D79—41no—
431C2×C4×D79—41no—
432C2×C4×D79—41no—
433C2×C4×D79—41no—
434C2×C4×D79—41no—
435C2×C4×D79C22×C414yes—
436C2×C4×D79C22×C414yes—
437C2×C4×D79C22×C414yes—
438C2×C4×D79C22×C414yes—
439C4⋊Dic79—22no—
440C4⋊Dic79—41no—
441C4⋊Dic79—41no—
442C4⋊Dic79—41no—
443Dic79⋊C4—22no—
444Dic79⋊C4—22no—
445Dic79⋊C4—22no—
446Dic79⋊C4—22no—
447Dic79⋊C4—22no—
448Dic79⋊C4—22no—
449Dic79⋊C4—22no—
450Dic79⋊C4—22no—
451Dic79⋊C4—22no—
452Dic79⋊C4—22no—
453Dic79⋊C4—41no—
454Dic79⋊C4—41no—
455Dic79⋊C4—41no—
456Dic79⋊C4—41no—
457Dic79⋊C4—41no—
458Dic79⋊C4—41no—
459Dic79⋊C4C22×C414yes—
460Dic79⋊C4C22×C414yes—
461Dic79⋊C4C22×C414yes—
462Dic79⋊C4C22×C414yes—
463C22⋊Dic79—22no—
464C22⋊Dic79—22no—
465C22⋊Dic79—22no—
466C22⋊Dic79—22no—
467C22⋊Dic79—41no—
468C22⋊Dic79—41no—
469C22⋊Dic79—41no—
470C22⋊Dic79—41no—
471C22⋊Dic79—41no—
472C22⋊Dic79—41no—
473C22⋊Dic79C22×C414yes—
474C22⋊Dic79C22×C414yes—
475C22⋊Dic79C22×C414yes—
476C22⋊Dic79C22×C414yes—
477(C2×D79)⋊C4—22no—
478(C2×D79)⋊C4—22no—
479(C2×D79)⋊C4—22no—
480(C2×D79)⋊C4—22no—
481(C2×D79)⋊C4—41no—
482(C2×D79)⋊C4—41no—
483(C2×D79)⋊C4—41no—
484(C2×D79)⋊C4—41no—
485(C2×D79)⋊C4—41no—
486(C2×D79)⋊C4—41no—
487(C2×D79)⋊C4—41no—
488(C2×D79)⋊C4—41no—
489(C2×D79)⋊C4—41no—
490(C2×D79)⋊C4—41no—
491(C2×D79)⋊C4—41no—
492(C2×D79)⋊C4—41no—
493(C2×D79)⋊C4C22×C414yes—
494(C2×D79)⋊C4C22×C414yes—
495(C2×D79)⋊C4C22×C414yes—
496(C2×D79)⋊C4C22×C414yes—
497C4×Dic79—22no—
498C4×Dic79—22no—
499C4×Dic79—22no—
500C4×Dic79—22no—
501C4×Dic79—22no—
502C4×Dic79—22no—
503C4×Dic79—22no—
504C4×Dic79—22no—
505C4×Dic79—22no—
506C4×Dic79—22no—
507C4×Dic79—22no—
508C4×Dic79—41no—
509C4×Dic79—41no—
510C4×Dic79—41no—
511C4×Dic79—41no—
512C4×Dic79—41no—
513C4×Dic79—41no—
514C4×Dic79—41no—
515C4×Dic79—41no—
516C4×Dic79—41no—
517C4×Dic79C22×C414yes—
518C4×Dic79C22×C414yes—
519C4×Dic79C22×C414yes—
520C4×Dic79C22×C414yes—
521C24×C79—22no—
522C24×C79—22no—
523C24×C79—41no—
524C24×C79—41no—
525C24×C79—41no—
526C24×C79—41no—
527C24×C79C22×C414yes—
528C24×C79C2411yescharacteristic
529C24×C79C2411yescharacteristic
530C24×C79C2411yescharacteristic
531C22×C4×C79—22no—
532C22×C4×C79—22no—
533C22×C4×C79—22no—
534C22×C4×C79—41no—
535C22×C4×C79—41no—
536C22×C4×C79—41no—
537C22×C4×C79—41no—
538C22×C4×C79—41no—
539C22×C4×C79—41no—
540C22×C4×C79—41no—
541C22×C4×C79C22×C414yes—
542C22×C4×C79C22×C414yes—
543C22×C4×C79C2411yescharacteristic
544C22×C4×C79C2411yescharacteristic
545C22×C4×C79C2411yescharacteristic
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C22×C4×C79C2411yescharacteristic
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C4⋊C4×C79—22no—
556C4⋊C4×C79—41no—
557C4⋊C4×C79—41no—
558C4⋊C4×C79—41no—
559C22⋊C4×C79—22no—
560C22⋊C4×C79—22no—
561C22⋊C4×C79—22no—
562C22⋊C4×C79—22no—
563C22⋊C4×C79—41no—
564C22⋊C4×C79—41no—
565C22⋊C4×C79—41no—
566C22⋊C4×C79—41no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79—41no—
569C22⋊C4×C79C22×C414yes—
570C22⋊C4×C79C22×C414yes—
571C22⋊C4×C79C22×C414yes—
572C22⋊C4×C79C22×C414yes—
573C42×C79—22no—
574C42×C79—41no—
575C42×C79—41no—
576C42×C79—41no—
577C23×C79—21no—
578C23×C79—21no—
579C23×C79—21no—
580C23×C79—21no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—28no—
594C23×C79—44no—
595C23×C79—44no—
596C23×C79—82no—
597C23×C79—82no—
598C23×C79—82no—
599C23×C79—82no—
600C23×C79C23×C412yes—
601C23×C79C23×C412yes—
602C23×C79C23×C412yes—
603C23×C79C2×#4112yes—
604C23×C79C2×#4112yes—
605C23×C79C2511yescharacteristic
606C22×D79—21no—
607C22×D79—21no—
608C22×D79—21no—
609C22×D79—21no—
610C22×D79—21no—
611C22×D79—21no—
612C22×D79—21no—
613C22×D79—21no—
614C22×D79—21no—
615C22×D79—21no—
616C22×D79—21no—
617C22×D79—21no—
618C22×D79—28no—
619C22×D79—44no—
620C22×D79—44no—
621C22×D79—82no—
622C22×D79—82no—
623C22×D79—82no—
624C22×D79—82no—
625C22×D79C23×C412yes—
626C22×D79C23×C412yes—
627C2×C4×C79—21no—
628C2×C4×C79—21no—
629C2×C4×C79—21no—
630C2×C4×C79—21no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—44no—
659C2×C4×C79—44no—
660C2×C4×C79—44no—
661C2×C4×C79—82no—
662C2×C4×C79C23×C412yes—
663C2×C4×C79C23×C412yes—
664C2×C4×C79C23×C412yes—
665C2×C4×C79C23×C412yes—
666C2×C4×C79H(5,𝔽2)12yes—
667C22⋊D79—28no—
668C22⋊D79—28no—
669C22⋊D79—28no—
670C22⋊D79—28no—
671C2×Dic79—21no—
672C2×Dic79—21no—
673C2×Dic79—21no—
674C2×Dic79—21no—
675C2×Dic79—21no—
676C2×Dic79—21no—
677C2×Dic79—21no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—44no—
703C2×Dic79—44no—
704C2×Dic79—44no—
705C2×Dic79—82no—
706C2×Dic79#117116yescomplemented
707C2×Dic79C23×C412yes—
708C2×Dic79C23×C412yes—
709C2×Dic79C23×C412yes—
710C2×Dic79C23×C412yes—
711C2×Dic79C23×C412yes—
712C2×Dic79C23×C412yes—
713C2×Dic79C2×#4112yes—
714C2×Dic79C2×#4112yes—
715C2×Dic79C2×#4112yes—
716C2×Dic79C2×#4112yes—
717C2×Dic79H(5,𝔽2)12yes—
718C4×D79—44no—
719C4×D79—44no—
720C4×D79—44no—
721C4×D79—44no—
722C22×C79—22no—
723C22×C79—22no—
724C22×C79—22no—
725C22×C79—22no—
726C22×C79—22no—
727C22×C79—22no—
728C22×C79—22no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—22no—
732C22×C79—22no—
733C22×C79—22no—
734C22×C79—41no—
735C22×C79—41no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79—88no—
743C22×C79C2×#11714yes—
744C22×C79C24×C411yescharacteristic
745C22×C79C22×#4111yescharacteristic
746C22×C79C22×#4111yescharacteristic
747C22×C79C2×H(5,𝔽2)11yescharacteristic
748C22×C79C2×H(5,𝔽2)11yescharacteristic
749C22×C79#58511yescharacteristic
750C22×C79#58511yescharacteristic
751C2×D79—22no—
752C2×D79—22no—
753C2×D79—22no—
754C2×D79—22no—
755C2×D79—22no—
756C2×D79—22no—
757C2×D79—41no—
758C2×D79—41no—
759C2×D79—41no—
760C2×D79—41no—
761C2×D79—41no—
762C2×D79—41no—
763C2×D79—41no—
764C2×D79—41no—
765C2×D79—88no—
766C4×C79—22no—
767C4×C79—22no—
768C4×C79—22no—
769C4×C79—22no—
770C4×C79—22no—
771C4×C79—41no—
772C4×C79—41no—
773C4×C79—41no—
774C4×C79—41no—
775C4×C79—41no—
776C4×C79—41no—
777C4×C79—41no—
778Dic79—22no—
779Dic79—22no—
780Dic79—22no—
781Dic79—22no—
782Dic79—22no—
783Dic79—41no—
784Dic79—41no—
785Dic79—41no—
786Dic79—41no—
787Dic79—41no—
788Dic79—41no—
789Dic79—41no—
790Dic79C2×#11714yes—
791Dic79C2×#11714yes—
792#34255—791nomaximal, Sylow
793C2×C79—24no—
794C2×C79—42no—
795C2×C79—42no—
796C2×C79C22×#11711yescharacteristic
797C2×C79C4×H(5,𝔽2)11yescharacteristic
798C2×C79C4×H(5,𝔽2)11yescharacteristic
799C2×C79#349411yescharacteristic
800C2×C79#349411yescharacteristic
801C2×C79#350811yescharacteristic
802C2×C79#351011yescharacteristic
803D79—42no—
804D79—42no—
805C2×#518—791no—
806#2357—791no—
807#2357—791no—
808#2357—791no—
809#2357—791no—
810#2354—791no—
811#2354—791no—
812#2354—791no—
813#2354—791no—
814#2342—791no—
815#2342—791no—
816#2342—791no—
817#2342—791no—
818#2342—791no—
819#2342—791no—
820#2342—791no—
821#2342D7911yescharacteristic, complemented
822#2319—791no—
823#2319—791no—
824#2319—791no—
825#2319—791no—
826#2317—791no—
827#2309—791no—
828#2296—791no—
829#2293—791no—
830#2293—791no—
831#2293—791no—
832#2293—791no—
833C2×#390—791no—
834#2274—791no—
835C4×#117—791no—
836C79#3425511yescharacteristic, complemented, Sylow
837C23×D4—791no—
838#518—7916no—
839C2×C4×D4—791no—
840C2×C4×D4—791no—
841C2×C4×D4—791no—
842C2×C4×D4—791no—
843C2×C4×D4—791no—
844C2×C4×D4—791no—
845C2×C4×D4—791no—
846C2×C4×D4—791no—
847C2×#117—791no—
848C2×#117—791no—
849C2×#117—791no—
850C2×#117—791no—
851C2×#117—791no—
852C2×#117—791no—
853C2×#117—791no—
854C2×#117—791no—
855C2×#117—791no—
856C2×#117—791no—
857C2×#117—791no—
858C2×#117C2×D7911yescharacteristic, complemented
859C22×C4⋊C4—791no—
860C22×C22⋊C4—791no—
861C22×C22⋊C4—791no—
862C22×C22⋊C4—791no—
863C22×C22⋊C4—791no—
864C22×C22⋊C4—791no—
865C22×C22⋊C4—791no—
866C22×C22⋊C4C2×D7911yescharacteristic
867C22×C22⋊C4C2×D7911yescharacteristic
868C22×C42—791no—
869#390—791no—
870#390—791no—
871#390—791no—
872#390—791no—
873#390—791no—
874#390—791no—
875#390—791no—
876#390—791no—
877#390—791no—
878#390—791no—
879#390—791no—
880#390—791no—
881#390—791no—
882#390—791no—
883#390—791no—
884#390—791no—
885#389—791no—
886#389—791no—
887#389—791no—
888#389—791no—
889#389—791no—
890#389—791no—
891#389—791no—
892#389—791no—
893#388—791no—
894#388—791no—
895#388—791no—
896#388—791no—
897#388—791no—
898#388—791no—
899#388—791no—
900#388—791no—
901#388—791no—
902#388—791no—
903#388—791no—
904#388—791no—
905#388—791no—
906#388—791no—
907#388—791no—
908#388—791no—
909#388—791no—
910#388—791no—
911#388—791no—
912#388—791no—
913#388—791no—
914#388—791no—
915#388—791no—
916#388—791no—
917#388—791no—
918#388—791no—
919#388—791no—
920#388—791no—
921#388C2×D7911yescharacteristic, complemented
922#388C2×D7911yescharacteristic, complemented
923#388C2×D7911yescharacteristic, complemented
924#388C2×D7911yescharacteristic, complemented
925#385—791no—
926#385—791no—
927#385—791no—
928#385—791no—
929#385—791no—
930#385—791no—
931#385C2×D7911yescharacteristic
932#385C2×D7911yescharacteristic
933#384—791no—
934#384—791no—
935#382—791no—
936#382—791no—
937#381—791no—
938#381—791no—
939#381—791no—
940#381—791no—
941#381—791no—
942#381—791no—
943#381—791no—
944#381C2×D7911yescharacteristic, complemented
945#380—791no—
946#380—791no—
947#380—791no—
948#380—791no—
949#380—791no—
950#380—791no—
951#380—791no—
952#380C2×D7911yescharacteristic, complemented
953#379—791no—
954#379—791no—
955#379—791no—
956#379C2×D7911yescharacteristic
957C4×C4⋊C4—791no—
958C4×C4⋊C4—791no—
959C4×C4⋊C4—791no—
960C4×C4⋊C4—791no—
961C4×C4⋊C4—791no—
962C4×C4⋊C4—791no—
963C4×C4⋊C4—791no—
964C4×C4⋊C4—791no—
965C4×C4⋊C4—791no—
966C4×C4⋊C4—791no—
967C4×C4⋊C4—791no—
968C4×C4⋊C4—791no—
969C4×C4⋊C4—791no—
970C4×C4⋊C4—791no—
971C4×C4⋊C4—791no—
972C4×C4⋊C4—791no—
973C4×C22⋊C4—791no—
974C4×C22⋊C4—791no—
975C4×C22⋊C4—791no—
976C4×C22⋊C4—791no—
977C4×C22⋊C4—791no—
978C4×C22⋊C4—791no—
979C4×C22⋊C4—791no—
980C4×C22⋊C4—791no—
981C4×C22⋊C4—791no—
982C4×C22⋊C4—791no—
983C4×C22⋊C4—791no—
984C4×C22⋊C4—791no—
985C4×C22⋊C4—791no—
986C4×C22⋊C4C2×D7911yescharacteristic
987C4×C22⋊C4C2×D7911yescharacteristic
988C4×C22⋊C4C2×D7911yescharacteristic, complemented
989#376—791no—
990#376—791no—
991C43—791no—
992C43—791no—
993C25—791no—
994C25C22×D7911yescharacteristic
995C22×D4—798no—
996C22×D4—791no—
997C22×D4—791no—
998C22×D4—791no—
999C22×D4—791no—
1000C22×D4—1584no—
1001C22×D4—1584no—
1002C23×C4—791no—
1003C23×C4—791no—
1004C23×C4—791no—
1005C23×C4—791no—
1006C23×C4—791no—
1007C23×C4—791no—
1008C23×C4—791no—
1009C23×C4—791no—
1010C23×C4—791no—
1011C23×C4C22×D7911yescharacteristic
1012C23×C4C22×D7911yescharacteristic
1013C23×C4C22×D7911yescharacteristic
1014C23×C4C22×D7911yescharacteristic
1015C4×D4—798no—
1016C4×D4—798no—
1017C4×D4—798no—
1018C4×D4—798no—
1019C4×D4—798no—
1020C4×D4—798no—
1021C4×D4—798no—
1022C4×D4—798no—
1023#117—42no—
1024#117—3162no—
1025#117—3162no—
1026#117—3162no—
1027#117—3162no—
1028#117—3162no—
1029#117—3162no—
1030#117—3162no—
1031#117—798no—
1032#117—798no—
1033#117—1584no—
1034#117—1584no—
1035C2×C4⋊C4—791no—
1036C2×C4⋊C4—791no—
1037C2×C4⋊C4—791no—
1038C2×C4⋊C4—791no—
1039C2×C4⋊C4—791no—
1040C2×C4⋊C4—791no—
1041C2×C4⋊C4—791no—
1042C2×C4⋊C4—791no—
1043C2×C4⋊C4—791no—
1044C2×C4⋊C4—791no—
1045C2×C4⋊C4—791no—
1046C2×C4⋊C4—791no—
1047C2×C4⋊C4—791no—
1048C2×C4⋊C4—791no—
1049C2×C4⋊C4—791no—
1050C2×C4⋊C4—791no—
1051C2×C4⋊C4—791no—
1052C2×C4⋊C4—791no—
1053C2×C4⋊C4—791no—
1054C2×C4⋊C4—791no—
1055C2×C4⋊C4—791no—
1056C2×C4⋊C4—791no—
1057C2×C4⋊C4—791no—
1058C2×C4⋊C4—791no—
1059C2×C4⋊C4—1584no—
1060C2×C4⋊C4C22×D7911yescharacteristic
1061C2×C4⋊C4C22×D7911yescharacteristic
1062C2×C4⋊C4C22×D7911yescharacteristic
1063C2×C4⋊C4C22×D7911yescharacteristic
1064C2×C22⋊C4—42no—
1065C2×C22⋊C4—3162no—
1066C2×C22⋊C4—3162no—
1067C2×C22⋊C4—3162no—
1068C2×C22⋊C4—791no—
1069C2×C22⋊C4—791no—
1070C2×C22⋊C4—791no—
1071C2×C22⋊C4—791no—
1072C2×C22⋊C4—791no—
1073C2×C22⋊C4—791no—
1074C2×C22⋊C4—791no—
1075C2×C22⋊C4—791no—
1076C2×C22⋊C4—791no—
1077C2×C22⋊C4—791no—
1078C2×C22⋊C4—791no—
1079C2×C22⋊C4—791no—
1080C2×C22⋊C4—791no—
1081C2×C22⋊C4—791no—
1082C2×C22⋊C4—791no—
1083C2×C22⋊C4—791no—
1084C2×C22⋊C4—791no—
1085C2×C22⋊C4—791no—
1086C2×C22⋊C4—798no—
1087C2×C22⋊C4—791no—
1088C2×C22⋊C4—791no—
1089C2×C22⋊C4—791no—
1090C2×C22⋊C4—791no—
1091C2×C22⋊C4—791no—
1092C2×C22⋊C4—791no—
1093C2×C22⋊C4—791no—
1094C2×C22⋊C4—791no—
1095C2×C22⋊C4—798no—
1096C2×C22⋊C4—798no—
1097C2×C22⋊C4—791no—
1098C2×C22⋊C4—791no—
1099C2×C22⋊C4—791no—
1100C2×C22⋊C4—791no—
1101C2×C22⋊C4—791no—
1102C2×C22⋊C4—791no—
1103C2×C22⋊C4—791no—
1104C2×C22⋊C4—791no—
1105C2×C22⋊C4C4×D7918yes—
1106C2×C22⋊C4C22×D7911yescharacteristic
1107C2×C22⋊C4C22×D7911yescharacteristic
1108C2×C22⋊C4C22×D7911yescharacteristic
1109C2×C22⋊C4C22×D7911yescharacteristic
1110C2×C22⋊C4C22×D7911yescharacteristic
1111C2×C22⋊C4C22×D7911yescharacteristic
1112C2×C22⋊C4C22×D7911yescharacteristic
1113C2×C22⋊C4C22×D7911yescharacteristic
1114C2×C22⋊C4C22×D7911yescharacteristic
1115C2×C22⋊C4C22×D7911yescharacteristic
1116C2×C22⋊C4C22×D7911yescharacteristic
1117C2×C22⋊C4C22×D7911yescharacteristic
1118C2×C22⋊C4C22×D7911yescharacteristic
1119C2×C22⋊C4C22×D7911yescharacteristic
1120C2×C42—791no—
1121C2×C42—791no—
1122C2×C42—791no—
1123C2×C42—791no—
1124C2×C42—791no—
1125C2×C42—791no—
1126C2×C42—791no—
1127C2×C42—791no—
1128C2×C42—791no—
1129C2×C42—791no—
1130C2×C42—791no—
1131C2×C42—791no—
1132C2×C42—791no—
1133C2×C42—791no—
1134C2×C42—791no—
1135C2×C42—791no—
1136C2×C42—791no—
1137C2×C42—791no—
1138C2×C42—791no—
1139C2×C42—791no—
1140C2×C42—791no—
1141C2×C42—791no—
1142C2×C42—791no—
1143C2×C42—791no—
1144C2×C42—1584no—
1145C2×C42C22×D7911yescharacteristic
1146C2×C42C22×D7911yescharacteristic
1147C2×C42C22×D7911yescharacteristic
1148C2×C42C22×D7911yescharacteristic
1149#95—791no—
1150#95—791no—
1151#95—791no—
1152#95—791no—
1153#95—791no—
1154#95—791no—
1155#95—791no—
1156#95—791no—
1157#95—791no—
1158#95—791no—
1159#95—791no—
1160#95—791no—
1161#95—791no—
1162#95—791no—
1163#95—791no—
1164#95—791no—
1165#95—791no—
1166#95—791no—
1167#95—791no—
1168#95—791no—
1169#95—791no—
1170#95—791no—
1171#95—791no—
1172#95—791no—
1173#95C22×D7911yescharacteristic
1174#95C22×D7911yescharacteristic
1175#95C22×D7911yescharacteristic
1176#95C22×D7911yescharacteristic
1177#95C22×D7911yescharacteristic
1178#95C22×D7911yescharacteristic
1179#95C22×D7911yescharacteristic
1180#95C22×D7911yescharacteristic
1181C24—22no—
1182C24—22no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24—41no—
1187C24—3161no—
1188C24—3161no—
1189C24—3161no—
1190C24—3161no—
1191C24—794no—
1192C24—791no—
1193C24—791no—
1194C24—1582no—
1195C24—1582no—
1196C24C2×C4×D7914yes—
1197C24C23×D7911yescharacteristic
1198C24C23×D7911yescharacteristic
1199C24C23×D7911yescharacteristic
1200C2×D4—794no—
1201C2×D4—794no—
1202C2×D4—794no—
1203C2×D4—794no—
1204C2×D4—15832no—
1205C2×D4—1582no—
1206C2×D4—1582no—
1207C2×D4—1582no—
1208C2×D4—1582no—
1209C2×D4—1582no—
1210C2×D4—1582no—
1211C2×D4—1582no—
1212C2×D4—1582no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—3161no—
1224C22×C4—3161no—
1225C22×C4—3161no—
1226C22×C4—3161no—
1227C22×C4—3161no—
1228C22×C4—3161no—
1229C22×C4—3161no—
1230C22×C4—3161no—
1231C22×C4—3161no—
1232C22×C4—3161no—
1233C22×C4—3161no—
1234C22×C4—3161no—
1235C22×C4—3161no—
1236C22×C4—3161no—
1237C22×C4—3161no—
1238C22×C4—794no—
1239C22×C4—794no—
1240C22×C4—794no—
1241C22×C4—794no—
1242C22×C4—794no—
1243C22×C4—794no—
1244C22×C4—794no—
1245C22×C4—794no—
1246C22×C4—791no—
1247C22×C4—791no—
1248C22×C4—794no—
1249C22×C4—791no—
1250C22×C4—791no—
1251C22×C4—791no—
1252C22×C4—791no—
1253C22×C4—791no—
1254C22×C4—791no—
1255C22×C4—791no—
1256C22×C4—791no—
1257C22×C4—791no—
1258C22×C4—791no—
1259C22×C4—791no—
1260C22×C4—791no—
1261C22×C4—1582no—
1262C22×C4—1582no—
1263C22×C4—1582no—
1264C22×C4C2×C4×D7914yes—
1265C22×C4C2×C4×D7914yes—
1266C22×C4C23×D7911yescharacteristic
1267C22×C4C23×D7911yescharacteristic
1268C22×C4C23×D7911yescharacteristic
1269C22×C4C23×D7911yescharacteristic
1270C22×C4C23×D7911yescharacteristic
1271C22×C4C23×D7911yescharacteristic
1272C22×C4C23×D7911yescharacteristic
1273C22×C4C23×D7911yescharacteristic
1274C22×C4C23×D7911yescharacteristic
1275C22×C4C23×D7911yescharacteristic
1276C22×C4C23×D7911yescharacteristic
1277C22×C4C23×D7911yescharacteristic
1278C4⋊C4—22no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—3161no—
1283C4⋊C4—3161no—
1284C4⋊C4—3161no—
1285C4⋊C4—3161no—
1286C4⋊C4—3161no—
1287C4⋊C4—3161no—
1288C4⋊C4—3161no—
1289C4⋊C4—3161no—
1290C4⋊C4—3161no—
1291C4⋊C4—794no—
1292C4⋊C4—794no—
1293C4⋊C4—794no—
1294C4⋊C4—794no—
1295C4⋊C4—1582no—
1296C4⋊C4—1582no—
1297C4⋊C4—1582no—
1298C4⋊C4—1582no—
1299C4⋊C4—1582no—
1300C4⋊C4—1582no—
1301C4⋊C4—1582no—
1302C4⋊C4—1582no—
1303C4⋊C4—1582no—
1304C4⋊C4—1582no—
1305C4⋊C4—1582no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—3161no—
1317C22⋊C4—3161no—
1318C22⋊C4—3161no—
1319C22⋊C4—3161no—
1320C22⋊C4—3161no—
1321C22⋊C4—3161no—
1322C22⋊C4—3161no—
1323C22⋊C4—3161no—
1324C22⋊C4—3161no—
1325C22⋊C4—3161no—
1326C22⋊C4—3161no—
1327C22⋊C4—3161no—
1328C22⋊C4—3161no—
1329C22⋊C4—3161no—
1330C22⋊C4—3161no—
1331C22⋊C4—3161no—
1332C22⋊C4—3161no—
1333C22⋊C4—3161no—
1334C22⋊C4—794no—
1335C22⋊C4—794no—
1336C22⋊C4—794no—
1337C22⋊C4—794no—
1338C22⋊C4—794no—
1339C22⋊C4—794no—
1340C22⋊C4—794no—
1341C22⋊C4—794no—
1342C22⋊C4—1582no—
1343C22⋊C4—1582no—
1344C22⋊C4—1582no—
1345C22⋊C4—1582no—
1346C22⋊C4—1582no—
1347C22⋊C4—1582no—
1348C22⋊C4—1582no—
1349C22⋊C4—1582no—
1350C22⋊C4C2×C4×D7914yes—
1351C22⋊C4C2×C4×D7914yes—
1352C22⋊C4C2×C4×D7914yes—
1353C22⋊C4C2×C4×D7914yes—
1354C42—22no—
1355C42—41no—
1356C42—41no—
1357C42—41no—
1358C42—3161no—
1359C42—3161no—
1360C42—3161no—
1361C42—3161no—
1362C42—3161no—
1363C42—3161no—
1364C42—3161no—
1365C42—3161no—
1366C42—3161no—
1367C42—794no—
1368C42—794no—
1369C42—794no—
1370C42—794no—
1371C42—1582no—
1372C42—1582no—
1373C42—1582no—
1374C42—1582no—
1375C42—1582no—
1376C42—1582no—
1377C42—1582no—
1378C42—1582no—
1379C42—1582no—
1380C42—1582no—
1381C42—1582no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—28no—
1399C23—44no—
1400C23—44no—
1401C23—82no—
1402C23—82no—
1403C23—82no—
1404C23—82no—
1405C23—3164no—
1406C23—3164no—
1407C23—792no—
1408C23—792no—
1409C23—6322no—
1410C23—6322no—
1411C23—6322no—
1412C23—6322no—
1413C23—1581no—
1414C23—1581no—
1415C23—1581no—
1416C23—1581no—
1417C23—1581no—
1418C23—1581no—
1419C23—1581no—
1420C23—1581no—
1421C23—1581no—
1422C23—1581no—
1423C23—1581no—
1424C23—1581no—
1425C23—1588no—
1426C23C22×C4×D7912yes—
1427C23C22×C4×D7912yes—
1428C23C22×C4×D7912yes—
1429C23#41×D7912yes—
1430C23#41×D7912yes—
1431C23C24×D7911yescharacteristic
1432D4—1588no—
1433D4—1588no—
1434D4—1588no—
1435D4—1588no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
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—44no—
1468C2×C4—44no—
1469C2×C4—44no—
1470C2×C4—82no—
1471C2×C4—3164no—
1472C2×C4—3164no—
1473C2×C4—3164no—
1474C2×C4—3164no—
1475C2×C4—3164no—
1476C2×C4—3164no—
1477C2×C4—3164no—
1478C2×C4—7916no—
1479C2×C4—792no—
1480C2×C4—792no—
1481C2×C4—792no—
1482C2×C4—792no—
1483C2×C4—792no—
1484C2×C4—792no—
1485C2×C4—792no—
1486C2×C4—792no—
1487C2×C4—792no—
1488C2×C4—792no—
1489C2×C4—792no—
1490C2×C4—6322no—
1491C2×C4—1581no—
1492C2×C4—1581no—
1493C2×C4—1581no—
1494C2×C4—1581no—
1495C2×C4—1581no—
1496C2×C4—1581no—
1497C2×C4—1581no—
1498C2×C4—1581no—
1499C2×C4—1581no—
1500C2×C4—1581no—
1501C2×C4—1581no—
1502C2×C4—1581no—
1503C2×C4—1581no—
1504C2×C4—1581no—
1505C2×C4—1581no—
1506C2×C4—1581no—
1507C2×C4—1581no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1581no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4—1581no—
1514C2×C4—1581no—
1515C2×C4—1581no—
1516C2×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4C22×C4×D7912yes—
1523C2×C4C22×C4×D7912yes—
1524C2×C4C22×C4×D7912yes—
1525C2×C4C22×C4×D7912yes—
1526C2×C4#1457920612yes—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—88no—
1548C22—3161no—
1549C22—3161no—
1550C22—3161no—
1551C22—3161no—
1552C22—3161no—
1553C22—3161no—
1554C22—3161no—
1555C22—3161no—
1556C22—6328no—
1557C22—1582no—
1558C22—1582no—
1559C22—1582no—
1560C22—1582no—
1561C22—1582no—
1562C22—1582no—
1563C22#117×D7914yes—
1564C22C23×C4×D7911yescharacteristic
1565C22C2×#41×D7911yescharacteristic
1566C22C2×#41×D7911yescharacteristic
1567C22H(5,𝔽2)×D7911yescharacteristic
1568C22C2×#1457920611yescharacteristic
1569C22#1909939811yescharacteristic
1570C22#1909939911yescharacteristic
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—3161no—
1584C4—3161no—
1585C4—3161no—
1586C4—3161no—
1587C4—3161no—
1588C4—3161no—
1589C4—3161no—
1590C4—794no—
1591C4—794no—
1592C4—1582no—
1593C4—1582no—
1594C4—1582no—
1595C4—1582no—
1596C4—1582no—
1597C2—24no—
1598C2—42no—
1599C2—42no—
1600C2—3162no—
1601C2—3162no—
1602C2C2×#117×D7911yescharacteristic
1603C2#2377660411yescharacteristic
1604C2C4×#1457920611yescharacteristic
1605C2#2377712211yescharacteristic
1606C2#2377712611yescharacteristic
1607C2#2377726811yescharacteristic
1608C2#2377728811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutatorC22×C79C24×C4
FittingC79×#2342C2
socle, cosocleC23×C79C25
prime radicalC23×C22⋊D79C22
hypercenter#2342D79
hypocenterC79#34255
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
2. #23766374C2semidirect
3. #23766370C2semidirect
4. #23766370C2semidirect
5. #23766368C2semidirect
6. #23766350C2semidirect
7. #23766346C2semidirect
8. #23766346C2semidirect
9. #23766344C2semidirect
10. #23766251C2semidirect
11. #23766249C2semidirect
12. #23766247C2semidirect
13. #23766247C2semidirect
14. #23766245C2semidirect
15. #23766243C2semidirect
16. #23766243C2semidirect
17. #23766042C2semidirect
18. #23766041C2semidirect
19. #23766041C2semidirect
20. #23766040C2semidirect
21. #23766019C2semidirect
23. #23765879C2semidirect
24. #23765863C2semidirect
25. #23765860C2semidirect
26. #23765860C2semidirect
27. #23765859C2semidirect
29. #23765755C2semidirect
30. C4×#14579117C2semidirect
31. C79×#2342C2semidirect
33. #19099036C4semidirect
42. C2×#14579120C22semidirect
43. C2×#14579119C22semidirect
44. C2×#14579119C22semidirect
45. C2×#14579118C22semidirect
46. C2×#14579118C22semidirect
51. C2×#14579117C22semidirect
52. C2×#14579117C22semidirect
77. #19098460C22semidirect
78. #19098460C22semidirect
79. #19098460C22semidirect
80. #19098460C22semidirect
81. #19098458C22semidirect
82. #19098458C22semidirect
83. #19098458C22semidirect
84. #19098458C22semidirect
85. #19098457C22semidirect
86. #19098457C22semidirect
87. #19098457C22semidirect
88. #19098457C22semidirect
89. #19098456C22semidirect
90. #19098456C22semidirect
91. #19098456C22semidirect
92. #19098456C22semidirect
93. #19098455C22semidirect
94. #19098455C22semidirect
95. #19098455C22semidirect
96. #19098455C22semidirect
97. #19098454C22semidirect
98. #19098454C22semidirect
99. #19098454C22semidirect
100. #19098454C22semidirect
101. #19098453C22semidirect
102. #19098453C22semidirect
103. #19098453C22semidirect
104. #19098453C22semidirect
105. #19098452C22semidirect
106. #19098452C22semidirect
107. #19098452C22semidirect
108. #19098452C22semidirect
109. #19098451C22semidirect
110. #19098451C22semidirect
111. #19098451C22semidirect
112. #19098451C22semidirect
119. #19098432C22semidirect
120. #19098432C22semidirect
121. #19098427C22semidirect
122. #19098427C22semidirect
123. #19098426C22semidirect
124. #19098425C22semidirect
125. #19098425C22semidirect
126. #19098425C22semidirect
127. #19098425C22semidirect
128. #19098424C22semidirect
129. #19098424C22semidirect
130. #19098423C22semidirect
131. #19098422C22semidirect
132. #19098422C22semidirect
133. #19098421C22semidirect
134. #19098421C22semidirect
135. #19098420C22semidirect
136. #19098420C22semidirect
140. C4⋊C4×Dic79C22semidirect
141. C4⋊C4×Dic79C22semidirect
142. C4×Dic79⋊C4C22semidirect
143. C4×Dic79⋊C4C22semidirect
144. C4×Dic79⋊C4C22semidirect
145. C4×Dic79⋊C4C22semidirect
146. C4×Dic79⋊C4C22semidirect
147. C4×Dic79⋊C4C22semidirect
148. #19098414C22semidirect
149. #19098414C22semidirect
150. #19098414C22semidirect
151. #19098414C22semidirect
152. #19098414C22semidirect
153. #19098414C22semidirect
154. #19098414C22semidirect
155. #19098414C22semidirect
160. C22⋊C4×Dic79C22semidirect
161. C22⋊C4×Dic79C22semidirect
162. C4×(C2×D79)⋊C4C22semidirect
163. C4×(C2×D79)⋊C4C22semidirect
166. C4×C22⋊Dic79C22semidirect
167. #19098410C22semidirect
168. #19098410C22semidirect
169. #19098408C22semidirect
170. #19098408C22semidirect
171. C42×Dic79C22semidirect
172. C42×Dic79C22semidirect
173. C2×#117×C79C22semidirect
176. #388×C79C22semidirect
177. #388×C79C22semidirect
178. #388×C79C22semidirect
179. #388×C79C22semidirect
182. #381×C79C22semidirect
183. #380×C79C22semidirect
187. C4×C22⋊C4×C79C22semidirect
205. C4×C22⋊D79C2×C4semidirect
206. C4×C22⋊D79C2×C4semidirect
207. C4×C22⋊D79C2×C4semidirect
208. C4×C22⋊D79C2×C4semidirect
209. (C22⋊D79)⋊C4C2×C4semidirect
210. (C22⋊D79)⋊C4C2×C4semidirect
211. (C22⋊D79)⋊C4C2×C4semidirect
212. (C22⋊D79)⋊C4C2×C4semidirect
706. C2×Dic79#117semidirect
821. #2342D79semidirect
836. C79#34255semidirect
858. C2×#117C2×D79semidirect
921. #388C2×D79semidirect
922. #388C2×D79semidirect
923. #388C2×D79semidirect
924. #388C2×D79semidirect
944. #381C2×D79semidirect
952. #380C2×D79semidirect
988. C4×C22⋊C4C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190990362
#237663742
#237663702
#237663682
#237663502
#237663462
#237663442
#237662512
#237662492
#237662472
#237662452
#237662432
#237660422
#237660412
#237660402
#237660192
#237659812
#237658792
#237658632
#237658602
#237658592
C2×#190984632
#237657552
C4×#145791172
C79×#23422
#3425579