Finite Group Databasebeta

← #34451190

Subgroups — #34451190

Order 20224.

2630 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D79C211yesmaximal, characteristic
2#23766549C211yesmaximal, characteristic, complemented
3#23766547C211yesmaximal, characteristic, complemented
4#23766545C211yesmaximal, characteristic, complemented
5#23766542C211yesmaximal, characteristic, complemented
6#23766398C211yesmaximal, characteristic, complemented
7#23766394C211yesmaximal, characteristic, complemented
8#23766390C211yesmaximal, characteristic, complemented
9#23766386C211yesmaximal, characteristic, complemented
10#23766276C211yesmaximal, characteristic, complemented
11#23766274C211yesmaximal, characteristic, complemented
12#23766247C211yesmaximal, characteristic, complemented
13#23766247C211yesmaximal, characteristic, complemented
14#23766244C211yesmaximal, characteristic, complemented
15#23766243C211yesmaximal, characteristic, complemented
16#23766218C211yesmaximal, characteristic
17D4×(C2×D79)⋊C4C211yesmaximal, characteristic
18#23766197C211yesmaximal, characteristic, complemented
19#23766193C211yesmaximal, characteristic, complemented
20#23766189C211yesmaximal, characteristic, complemented
21#23766185C211yesmaximal, characteristic, complemented
22#23766072C211yesmaximal, characteristic, complemented
23#23766069C211yesmaximal, characteristic, complemented
24#23766066C211yesmaximal, characteristic, complemented
25#23766015C211yesmaximal, characteristic, complemented
26#23766011C211yesmaximal, characteristic, complemented
27#23765999C211yesmaximal, characteristic, complemented
28#23765994C211yesmaximal, characteristic, complemented
29#23765780C211yesmaximal, characteristic, complemented
30C2×#19098420C211yesmaximal, characteristic, complemented
31C79×#2322C211yesmaximal, characteristic, complemented
32C22×D4×D79C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34C2×#14579146C2211yescharacteristic
35C2×#14579146C2211yescharacteristic
36C2×#14579145C2211yescharacteristic
37C2×#14579144C2211yescharacteristic
38C2×#14579143C2211yescharacteristic
39C2×#14579143C2211yescharacteristic
40C2×#14579142C2211yescharacteristic
41#123×D79C4116yescomplemented
42C2×D4×Dic79C2211yescharacteristic
43C2×C4×C22⋊D79C2211yescharacteristic
44C2×(C22⋊D79)⋊C4C2211yescharacteristic
45C2×#14579119C2211yescharacteristic
46C2×#14579118C2211yescharacteristic
47C2×#14579117C2211yescharacteristic, complemented
48C2×#14579117C2211yescharacteristic, complemented
49C22×C4⋊Dic79C2211yescharacteristic, complemented
50C2×C4⋊C4×D79C2211yescharacteristic
51C2×C4⋊C4×D79C2211yescharacteristic
52C22×(C2×D79)⋊C4C2211yescharacteristic
53C22×(C2×D79)⋊C4C2211yescharacteristic
54C22×(C2×D79)⋊C4C2211yescharacteristic
55C2×C22⋊C4×D79C2211yescharacteristic
56C2×C22⋊C4×D79C2211yescharacteristic
57C2×C22⋊C4×D79C2211yescharacteristic
58C2×C22⋊C4×D79C2211yescharacteristic
59#19098465C2211yescharacteristic
60#19098464C2211yescharacteristic
61#19098463C2211yescharacteristic
62#19098463C2211yescharacteristic
63#19098462C2211yescharacteristic, complemented
64#19098462C2211yescharacteristic, complemented
65#19098461C2211yescharacteristic, complemented
66#19098460C2211yescharacteristic, complemented
67#19098460C2211yescharacteristic, complemented
68#19098460C2211yescharacteristic, complemented
69#19098459C2211yescharacteristic, complemented
70#19098458C2211yescharacteristic, complemented
71#19098458C2211yescharacteristic, complemented
72#19098458C2211yescharacteristic, complemented
73#19098457C2211yescharacteristic, complemented
74#19098457C2211yescharacteristic, complemented
75#19098456C2211yescharacteristic, complemented
76#19098456C2211yescharacteristic, complemented
77#19098455C2211yescharacteristic, complemented
78#19098455C2211yescharacteristic, complemented
79#19098455C2211yescharacteristic, complemented
80#19098455C2211yescharacteristic, complemented
81#19098455C2211yescharacteristic, complemented
82#19098454C2211yescharacteristic, complemented
83#19098454C2211yescharacteristic, complemented
84#19098454C2211yescharacteristic, complemented
85#19098453C2211yescharacteristic, complemented
86#19098453C2211yescharacteristic, complemented
87#19098453C2211yescharacteristic, complemented
88#19098453C2211yescharacteristic, complemented
89#19098453C2211yescharacteristic, complemented
90#19098452C2211yescharacteristic, complemented
91#19098452C2211yescharacteristic, complemented
92#19098452C2211yescharacteristic, complemented
93#19098451C2211yescharacteristic, complemented
94#19098451C2211yescharacteristic, complemented
95#19098450C2211yescharacteristic, complemented
96#19098450C2211yescharacteristic, complemented
97#19098450C2211yescharacteristic, complemented
98#19098449C2211yescharacteristic, complemented
99#19098449C2211yescharacteristic, complemented
100#19098448C2211yescharacteristic, complemented
101#19098448C2211yescharacteristic, complemented
102#19098447C2211yescharacteristic, complemented
103#19098446C2211yescharacteristic, complemented
104#19098446C2211yescharacteristic, complemented
105#19098445C2211yescharacteristic, complemented
106#19098444C2211yescharacteristic, complemented
107#19098444C2211yescharacteristic, complemented
108#19098444C2211yescharacteristic, complemented
109#19098443C2211yescharacteristic
110#19098442C2211yescharacteristic
111#19098442C2211yescharacteristic
112#19098441C2211yescharacteristic
113#19098441C2211yescharacteristic
114#19098440C2211yescharacteristic
115#19098440C2211yescharacteristic
116#19098438C2211yescharacteristic, complemented
117#19098438C2211yescharacteristic, complemented
118#19098438C2211yescharacteristic, complemented
119#19098437C2211yescharacteristic, complemented
120#19098437C2211yescharacteristic, complemented
121#19098437C2211yescharacteristic, complemented
122#19098436C2211yescharacteristic, complemented
123#19098436C2211yescharacteristic, complemented
124#19098435C2211yescharacteristic, complemented
125#19098435C2211yescharacteristic, complemented
126#19098434C2211yescharacteristic, complemented
127#19098434C2211yescharacteristic, complemented
128#19098434C2211yescharacteristic, complemented
129#19098426C2211yescharacteristic, complemented
130#19098425C2211yescharacteristic
131#19098425C2211yescharacteristic
132#19098422C2211yescharacteristic
133#19098422C2211yescharacteristic
134#19098422C2211yescharacteristic
135#19098422C2211yescharacteristic
136#19098422C2211yescharacteristic, complemented
137#19098422C2211yescharacteristic, complemented
138#19098420C2211yescharacteristic
139#19098420C2211yescharacteristic
140#19098420C2211yescharacteristic
141#19098420C2211yescharacteristic
142#19098420C2211yescharacteristic
143#19098420C2211yescharacteristic
144#19098420C2211yescharacteristic, complemented
145#19098420C2211yescharacteristic, complemented
146#19098420C2211yescharacteristic, complemented
147#19098420C2211yescharacteristic, complemented
148#19098418C2211yescharacteristic
149#19098418C2211yescharacteristic
150#19098418C2211yescharacteristic
151#19098418C2211yescharacteristic
152C4⋊C4×Dic79C2211yescharacteristic, complemented
153C4×Dic79⋊C4C2211yescharacteristic, complemented
154C4×C4⋊Dic79C2211yescharacteristic, complemented
155#19098414C2211yescharacteristic, complemented
156C22⋊C4×Dic79C2211yescharacteristic, complemented
157C22⋊C4×Dic79C2211yescharacteristic, complemented
158C22⋊C4×Dic79C2211yescharacteristic, complemented
159C4×(C2×D79)⋊C4C2211yescharacteristic
160C4×(C2×D79)⋊C4C2211yescharacteristic
161C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
162C4×C22⋊Dic79C2211yescharacteristic, complemented
163C4×C22⋊Dic79C2211yescharacteristic, complemented
164#19098410C2211yescharacteristic
165#19098410C2211yescharacteristic
166#19098410C2211yescharacteristic
167#19098410C2211yescharacteristic
168#19098410C2211yescharacteristic, complemented
169#19098410C2211yescharacteristic, complemented
170#19098410C2211yescharacteristic, complemented
171C2×C79⋊#95C2211yescharacteristic, complemented
172C2×C79⋊#95C2211yescharacteristic, complemented
173C2×#123×C79C2211yescharacteristic
174C2×C4×D4×C79C2211yescharacteristic
175C22×C4⋊C4×C79C2211yescharacteristic, complemented
176#389×C79C2211yescharacteristic, complemented
177#389×C79C2211yescharacteristic, complemented
178#388×C79C2211yescharacteristic, complemented
179#388×C79C2211yescharacteristic, complemented
180#387×C79C2211yescharacteristic, complemented
181#387×C79C2211yescharacteristic, complemented
182#386×C79C2211yescharacteristic
183#385×C79C2211yescharacteristic, complemented
184#385×C79C2211yescharacteristic, complemented
185#385×C79C2211yescharacteristic, complemented
186#381×C79C2211yescharacteristic, complemented
187C4×C22⋊C4×C79C2211yescharacteristic, complemented
188C24×D79C2311yescharacteristic
189C24×D79C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C2×D4×D79—42no—
194C2×D4×D79—42no—
195C2×D4×D79C2×C418yes—
196C23×Dic79C2311yescharacteristic
197C23×Dic79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C23×Dic79C2311yescharacteristic
200C22×C4×D79—42no—
201C22×C4×D79—42no—
202C22×C4×D79C2×C418yescomplemented
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212#14579146C2×C418yescomplemented
213#14579146C2×C418yescomplemented
214#14579145C2×C418yescomplemented
215#14579144C2×C418yescomplemented
216#14579143C2×C418yescomplemented
217#14579143C2×C418yescomplemented
218#14579142C2×C418yescomplemented
219D4×Dic79—42no—
220C4×C22⋊D79—42no—
221(C22⋊D79)⋊C4—42no—
222#14579119—42no—
223#14579118—42no—
224#14579117—42no—
225#14579117—42no—
226C2×C4⋊Dic79—42no—
227C2×C4⋊Dic79C2311yescharacteristic
228C2×C4⋊Dic79C2311yescharacteristic
229C2×C4⋊Dic79C2311yescharacteristic
230C2×C4⋊Dic79C2311yescharacteristic
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×C4⋊Dic79C2311yescharacteristic
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×Dic79⋊C4C2311yescharacteristic
250C4⋊C4×D79C2×C418yescomplemented
251C4⋊C4×D79C2×C418yescomplemented
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×(C2×D79)⋊C4—42no—
261C2×(C2×D79)⋊C4—42no—
262C2×(C2×D79)⋊C4—42no—
263C2×(C2×D79)⋊C4C2311yescharacteristic
264C2×(C2×D79)⋊C4C2311yescharacteristic
265C2×(C2×D79)⋊C4C2311yescharacteristic
266C2×(C2×D79)⋊C4C2311yescharacteristic
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
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C22⋊C4×D79—42no—
292C22⋊C4×D79C2×C418yescomplemented
293C22⋊C4×D79C2×C418yescomplemented
294C22⋊C4×D79C2×C418yescomplemented
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
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
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
338C22×D4×C79C2311yescharacteristic
339C23×C4×C79C2311yescharacteristic
340C23×C4×C79C2311yescharacteristic
341C23×C4×C79C2311yescharacteristic
342C23×C4×C79C2311yescharacteristic
343#123×C79C2×C418yescomplemented
344C4×D4×C79—42no—
345C2×C4⋊C4×C79—42no—
346C2×C4⋊C4×C79C2311yescharacteristic
347C2×C4⋊C4×C79C2311yescharacteristic
348C2×C4⋊C4×C79C2311yescharacteristic
349C2×C4⋊C4×C79C2311yescharacteristic
350C2×C4⋊C4×C79C2311yescharacteristic
351C2×C4⋊C4×C79C2311yescharacteristic
352C2×C4⋊C4×C79C2311yescharacteristic
353C2×C4⋊C4×C79C2311yescharacteristic
354C2×C4⋊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×C42×C79C2311yescharacteristic
364C2×C42×C79C2311yescharacteristic
365C2×C42×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×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—22no—
379C23×D79—22no—
380C23×D79—22no—
381C23×D79—22no—
382C23×D79—41no—
383C23×D79—41no—
384C23×D79—41no—
385C23×D79—41no—
386C23×D79—41no—
387C23×D79—41no—
388C23×D79C22×C414yes—
389C23×D79C22×C414yes—
390C23×D79C2411yescharacteristic
391C23×D79C2411yescharacteristic
392C23×D79C2411yescharacteristic
393C2×D316—41no—
394C2×D316—41no—
395C2×D316C22×C414yes—
396C2×C22⋊D79—22no—
397C2×C22⋊D79—22no—
398C2×C22⋊D79—41no—
399C2×C22⋊D79—41no—
400C2×C22⋊D79C22×C414yes—
401C2×C22⋊D79C22×C414yes—
402D4×D79—416no—
403C22×Dic79—22no—
404C22×Dic79—22no—
405C22×Dic79—22no—
406C22×Dic79—22no—
407C22×Dic79—41no—
408C22×Dic79—41no—
409C22×Dic79—41no—
410C22×Dic79—41no—
411C22×Dic79—41no—
412C22×Dic79—41no—
413C22×Dic79—41no—
414C22×Dic79C22×C414yes—
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C2×C4×D79—22no—
429C2×C4×D79—22no—
430C2×C4×D79—416no—
431C2×C4×D79—41no—
432C2×C4×D79—41no—
433C2×C4×D79—41no—
434C2×C4×D79—41no—
435C2×C4×D79—41no—
436C2×C4×D79—41no—
437C2×C4×D79—41no—
438C2×C4×D79—41no—
439C2×C4×D79—41no—
440C2×C4×D79—41no—
441C2×C4×D79—41no—
442C2×C4×D79—41no—
443C2×C4×D79—41no—
444C2×C4×D79—41no—
445C2×C4×D79—41no—
446C2×C4×D79—41no—
447C2×C4×D79—41no—
448C2×C4×D79—41no—
449C2×C4×D79C22×C414yes—
450C2×C4×D79C22×C414yes—
451C2×C4×D79C22×C414yes—
452C2×C4×D79C22×C414yes—
453C2×C4×D79C22×C414yes—
454C2×C4×D79C22×C414yes—
455C2×C4×D79C22×C414yes—
456C4⋊Dic79—41no—
457C4⋊Dic79—41no—
458C4⋊Dic79—41no—
459C4⋊Dic79—41no—
460C4⋊Dic79—41no—
461C4⋊Dic79—41no—
462C4⋊Dic79—41no—
463C4⋊Dic79C22×C414yes—
464C4⋊Dic79C22×C414yes—
465Dic79⋊C4—41no—
466Dic79⋊C4—41no—
467Dic79⋊C4—41no—
468Dic79⋊C4—41no—
469Dic79⋊C4—41no—
470Dic79⋊C4—41no—
471Dic79⋊C4—41no—
472Dic79⋊C4—41no—
473Dic79⋊C4—41no—
474Dic79⋊C4—41no—
475Dic79⋊C4C22×C414yes—
476Dic79⋊C4C22×C414yes—
477Dic79⋊C4C22×C414yes—
478Dic79⋊C4C22×C414yes—
479C22⋊Dic79—22no—
480C22⋊Dic79—22no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79C22×C414yes—
485C22⋊Dic79C22×C414yes—
486C22⋊Dic79C22×C414yes—
487(C2×D79)⋊C4—22no—
488(C2×D79)⋊C4—22no—
489(C2×D79)⋊C4—22no—
490(C2×D79)⋊C4—22no—
491(C2×D79)⋊C4—22no—
492(C2×D79)⋊C4—22no—
493(C2×D79)⋊C4—22no—
494(C2×D79)⋊C4—22no—
495(C2×D79)⋊C4—41no—
496(C2×D79)⋊C4—41no—
497(C2×D79)⋊C4—41no—
498(C2×D79)⋊C4—41no—
499(C2×D79)⋊C4—41no—
500(C2×D79)⋊C4—41no—
501(C2×D79)⋊C4—41no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4—41no—
504(C2×D79)⋊C4—41no—
505(C2×D79)⋊C4—41no—
506(C2×D79)⋊C4—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509(C2×D79)⋊C4C22×C414yes—
510(C2×D79)⋊C4C22×C414yes—
511(C2×D79)⋊C4C22×C414yes—
512(C2×D79)⋊C4C22×C414yes—
513(C2×D79)⋊C4C22×C414yes—
514(C2×D79)⋊C4C22×C414yes—
515C4×Dic79—41no—
516C4×Dic79—41no—
517C4×Dic79—41no—
518C4×Dic79—41no—
519C4×Dic79—41no—
520C4×Dic79—41no—
521C4×Dic79—41no—
522C4×Dic79—41no—
523C4×Dic79—41no—
524C4×Dic79—41no—
525C4×Dic79—41no—
526C4×Dic79—41no—
527C4×Dic79—41no—
528C24×C79C2411yescharacteristic
529C24×C79C2411yescharacteristic
530C2×D4×C79—22no—
531C2×D4×C79—22no—
532C2×D4×C79C22×C414yes—
533C22×C4×C79—22no—
534C22×C4×C79—22no—
535C22×C4×C79—22no—
536C22×C4×C79—22no—
537C22×C4×C79—41no—
538C22×C4×C79—41no—
539C22×C4×C79—41no—
540C22×C4×C79—41no—
541C22×C4×C79—41no—
542C22×C4×C79—41no—
543C22×C4×C79—41no—
544C22×C4×C79C22×C414yes—
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
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C4⋊C4×C79—41no—
559C4⋊C4×C79—41no—
560C4⋊C4×C79—41no—
561C4⋊C4×C79—41no—
562C4⋊C4×C79—41no—
563C4⋊C4×C79—41no—
564C4⋊C4×C79—41no—
565C4⋊C4×C79C22×C414yes—
566C4⋊C4×C79C22×C414yes—
567C22⋊C4×C79—22no—
568C22⋊C4×C79—22no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C22⋊C4×C79—41no—
572C22⋊C4×C79C22×C414yes—
573C22⋊C4×C79C22×C414yes—
574C22⋊C4×C79C22×C414yes—
575C42×C79—41no—
576C42×C79—41no—
577C42×C79—41no—
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×C79C23×C412yes—
589C23×C79C23×C412yes—
590C23×C79H(5,𝔽2)12yes—
591C23×C79H(5,𝔽2)12yes—
592C23×C79C2511yescharacteristic
593C22×D79—21no—
594C22×D79—21no—
595C22×D79—21no—
596C22×D79—21no—
597C22×D79—28no—
598C22×D79—21no—
599C22×D79—21no—
600C22×D79—21no—
601C22×D79—21no—
602C22×D79—21no—
603C22×D79—21no—
604C22×D79—21no—
605C22×D79—21no—
606C22×D79—21no—
607C22×D79—21no—
608C22×D79—21no—
609C22×D79—21no—
610C22×D79—28no—
611C22×D79—28no—
612C22×D79—44no—
613C22×D79—44no—
614C22×D79—44no—
615C22×D79—44no—
616C22×D79—44no—
617C22×D79—44no—
618C22×D79—44no—
619C22×D79—82no—
620C22×D79—82no—
621C22×D79—82no—
622C22×D79—82no—
623C22×D79C23×C412yes—
624C22×D79C23×C412yes—
625C22×D79C23×C412yes—
626C22×D79H(5,𝔽2)12yes—
627C22×D792−1+412yes—
628D4×C79—28no—
629C2×C4×C79—28no—
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—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—82no—
665C2×C4×C79—82no—
666C2×C4×C79—82no—
667C2×C4×C79C23×C412yes—
668C2×C4×C79C23×C412yes—
669C2×C4×C79C23×C412yes—
670C2×C4×C79C23×C412yes—
671C2×C4×C79C23×C412yes—
672C22⋊D79—28no—
673C22⋊D79—44no—
674C2×Dic79—28no—
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—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—82no—
710C2×Dic79—82no—
711C2×Dic79—82no—
712C2×Dic79C23×C412yes—
713C2×Dic79C23×C412yes—
714C2×Dic79C23×C412yes—
715C2×Dic79C23×C412yes—
716C2×Dic79C23×C412yes—
717D316—44no—
718C4×D79—28no—
719C4×D79—44no—
720C4×D79—44no—
721C4×D79—44no—
722C4×D79—44no—
723C4×D79—44no—
724C4×D79—44no—
725C4×D79—82no—
726C4×D79—82no—
727C22×C79—22no—
728C22×C79—22no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—22no—
732C22×C79—22no—
733C22×C79—22no—
734C22×C79—22no—
735C22×C79—22no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79#51814yes—
741C22×C79C24×C411yescharacteristic
742C22×C79C2×H(5,𝔽2)11yescharacteristic
743C22×C79C2×H(5,𝔽2)11yescharacteristic
744C22×C79C2×H(5,𝔽2)11yescharacteristic
745C22×C79C2×2−1+411yescharacteristic
746C22×C79#58511yescharacteristic
747C22×C79#58511yescharacteristic
748C2×D79—22no—
749C2×D79—22no—
750C2×D79—22no—
751C2×D79—22no—
752C2×D79—22no—
753C2×D79—22no—
754C2×D79—22no—
755C2×D79—22no—
756C2×D79—22no—
757C2×D79—22no—
758C2×D79—22no—
759C2×D79—22no—
760C2×D79—416no—
761C2×D79—41no—
762C2×D79—41no—
763C2×D79—41no—
764C2×D79—41no—
765C2×D79—41no—
766C2×D79—41no—
767C2×D79—41no—
768C2×D79—41no—
769C2×D79—88no—
770C2×D79#52014yes—
771C4×C79—22no—
772C4×C79—22no—
773C4×C79—22no—
774C4×C79—22no—
775C4×C79—22no—
776C4×C79—41no—
777C4×C79—41no—
778C4×C79—41no—
779C4×C79—41no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784Dic79—22no—
785Dic79—22no—
786Dic79—22no—
787Dic79—22no—
788Dic79—22no—
789Dic79—41no—
790Dic79—41no—
791Dic79—41no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797#34376—791nomaximal, Sylow
798C2×C79—24no—
799C2×C79—42no—
800C2×C79C2×#51811yescharacteristic
801C2×C79C2×#52011yescharacteristic
802C2×C79#342811yescharacteristic
803C2×C79#353411yescharacteristic
804C2×C79#353411yescharacteristic
805C2×C79#353511yescharacteristic
806C2×C79#353511yescharacteristic
807D79—24no—
808D79—42no—
809D79—42no—
810C22×#123—791no—
811#2376—791no—
812#2376—791no—
813#2376—791no—
814#2376—791no—
815#2359—791no—
816#2359—791no—
817#2359—791no—
818#2359—791no—
819#2345—791no—
820#2345—791no—
821#2342—791no—
822#2342—791no—
823#2342—791no—
824#2342—791no—
825D4×C22⋊C4—791no—
826D4×C22⋊C4—791no—
827#2335—791no—
828#2335—791no—
829#2335—791no—
830#2335—791no—
831#2322—791no—
832#2322—791no—
833#2322—791no—
834#2322D7911yescharacteristic, complemented
835#2316—791no—
836#2315—791no—
837#2313—791no—
838#2312—791no—
839#2280—791no—
840C2×#380—791no—
841C79#3437611yescharacteristic, complemented, Sylow
842C23×D4—791no—
843C24×C4—791no—
844C2×#123—791no—
845C2×#123—791no—
846C2×#123—7916no—
847C2×#123—791no—
848C2×#123—791no—
849C2×#123—791no—
850C2×#123—791no—
851C2×#123—791no—
852C2×#123C2×D7911yescharacteristic
853C2×C4×D4—791no—
854C2×C4×D4—791no—
855C2×C4×D4—791no—
856C2×C4×D4C2×D7911yescharacteristic
857C2×#117—791no—
858C2×#117—791no—
859C2×#117—791no—
860C2×#117—791no—
861C22×C4⋊C4—791no—
862C22×C4⋊C4—791no—
863C22×C4⋊C4—791no—
864C22×C4⋊C4C2×D7911yescharacteristic, complemented
865C22×C22⋊C4—791no—
866C22×C22⋊C4—791no—
867C22×C22⋊C4—791no—
868C22×C22⋊C4—791no—
869C22×C22⋊C4—791no—
870C22×C22⋊C4—791no—
871C22×C22⋊C4—791no—
872#390—791no—
873#390—791no—
874#390—791no—
875#390—791no—
876#389—791no—
877#389—791no—
878#389—791no—
879#389—791no—
880#389—791no—
881#389—791no—
882#389—791no—
883#389—791no—
884#389—791no—
885#389—791no—
886#389C2×D7911yescharacteristic, complemented
887#389C2×D7911yescharacteristic, complemented
888#388—791no—
889#388—791no—
890#388—791no—
891#388—791no—
892#388—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#388C2×D7911yescharacteristic, complemented
911#388C2×D7911yescharacteristic, complemented
912#387—791no—
913#387—791no—
914#387—791no—
915#387—791no—
916#387—791no—
917#387—791no—
918#387—791no—
919#387—791no—
920#387—791no—
921#387—791no—
922#387—791no—
923#387—791no—
924#387—791no—
925#387—791no—
926#387C2×D7911yescharacteristic, complemented
927#387C2×D7911yescharacteristic, complemented
928#386—791no—
929#386—791no—
930#386—791no—
931#386—791no—
932#386—791no—
933#386—791no—
934#386—791no—
935#386C2×D7911yescharacteristic
936#385—791no—
937#385—791no—
938#385—791no—
939#385—791no—
940#385—791no—
941#385—791no—
942#385—791no—
943#385—791no—
944#385—791no—
945#385—791no—
946#385—791no—
947#385—791no—
948#385—791no—
949#385C2×D7911yescharacteristic, complemented
950#385C2×D7911yescharacteristic, complemented
951#385C2×D7911yescharacteristic, complemented
952#381—791no—
953#381—791no—
954#381—791no—
955#381C2×D7911yescharacteristic, complemented
956#380—791no—
957#380—791no—
958#380—791no—
959#380—791no—
960#380—791no—
961#380—791no—
962#380—791no—
963#380—791no—
964#380—791no—
965#380—791no—
966#380—791no—
967#380—791no—
968#380—791no—
969#380—791no—
970#380—791no—
971#380—791no—
972#379—791no—
973#379—791no—
974#379—791no—
975#379—791no—
976C4×C4⋊C4—791no—
977C4×C4⋊C4—791no—
978C4×C4⋊C4—791no—
979C4×C4⋊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⋊C4—791no—
987C4×C22⋊C4—791no—
988C4×C22⋊C4—791no—
989C4×C22⋊C4—791no—
990C4×C22⋊C4—791no—
991C4×C22⋊C4—791no—
992C4×C22⋊C4—791no—
993C4×C22⋊C4—791no—
994C4×C22⋊C4—791no—
995C4×C22⋊C4C2×D7911yescharacteristic, complemented
996C2×#95—791no—
997C2×#95—791no—
998C25—791no—
999C25—791no—
1000C22×D4—3162no—
1001C22×D4—3162no—
1002C22×D4—791no—
1003C22×D4—798no—
1004C22×D4—791no—
1005C22×D4—791no—
1006C22×D4C22×D7911yescharacteristic
1007C23×C4—3162no—
1008C23×C4—3162no—
1009C23×C4—791no—
1010C23×C4—791no—
1011C23×C4—791no—
1012C23×C4—798no—
1013C23×C4—791no—
1014C23×C4—791no—
1015C23×C4—791no—
1016C23×C4—791no—
1017C23×C4—791no—
1018C23×C4—791no—
1019C23×C4—791no—
1020C23×C4—791no—
1021C23×C4—791no—
1022C23×C4—791no—
1023C23×C4C22×D7911yescharacteristic
1024C23×C4C22×D7911yescharacteristic
1025C23×C4C22×D7911yescharacteristic
1026C23×C4C22×D7911yescharacteristic
1027#123—798no—
1028#123—798no—
1029#123—798no—
1030#123—798no—
1031#123—798no—
1032#123—798no—
1033#123—798no—
1034#123C4×D7918yescomplemented
1035C4×D4—42no—
1036C4×D4—3162no—
1037C4×D4—3162no—
1038C4×D4—3162no—
1039#117—3162no—
1040#117—3162no—
1041#117—3162no—
1042#117—3162no—
1043C2×C4⋊C4—42no—
1044C2×C4⋊C4—3162no—
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—791no—
1060C2×C4⋊C4—791no—
1061C2×C4⋊C4—791no—
1062C2×C4⋊C4—791no—
1063C2×C4⋊C4—791no—
1064C2×C4⋊C4—791no—
1065C2×C4⋊C4—791no—
1066C2×C4⋊C4—791no—
1067C2×C4⋊C4—791no—
1068C2×C4⋊C4—798no—
1069C2×C4⋊C4—798no—
1070C2×C4⋊C4C22×D7911yescharacteristic
1071C2×C4⋊C4C22×D7911yescharacteristic
1072C2×C4⋊C4C22×D7911yescharacteristic
1073C2×C4⋊C4C22×D7911yescharacteristic
1074C2×C4⋊C4C22×D7911yescharacteristic
1075C2×C4⋊C4C22×D7911yescharacteristic
1076C2×C4⋊C4C22×D7911yescharacteristic
1077C2×C4⋊C4C22×D7911yescharacteristic
1078C2×C4⋊C4C22×D7911yescharacteristic
1079C2×C22⋊C4—3162no—
1080C2×C22⋊C4—3162no—
1081C2×C22⋊C4—3162no—
1082C2×C22⋊C4—3162no—
1083C2×C22⋊C4—791no—
1084C2×C22⋊C4—791no—
1085C2×C22⋊C4—791no—
1086C2×C22⋊C4—791no—
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—791no—
1096C2×C22⋊C4—791no—
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⋊C4—791no—
1106C2×C22⋊C4—791no—
1107C2×C22⋊C4—791no—
1108C2×C22⋊C4—791no—
1109C2×C22⋊C4—798no—
1110C2×C22⋊C4—798no—
1111C2×C22⋊C4—798no—
1112C2×C22⋊C4—791no—
1113C2×C22⋊C4—791no—
1114C2×C22⋊C4—791no—
1115C2×C22⋊C4—791no—
1116C2×C22⋊C4—791no—
1117C2×C22⋊C4—791no—
1118C2×C22⋊C4—791no—
1119C2×C22⋊C4—791no—
1120C2×C22⋊C4—791no—
1121C2×C22⋊C4—791no—
1122C2×C22⋊C4C22×D7911yescharacteristic
1123C2×C22⋊C4C22×D7911yescharacteristic
1124C2×C22⋊C4C22×D7911yescharacteristic
1125C2×C22⋊C4C22×D7911yescharacteristic
1126C2×C22⋊C4C22×D7911yescharacteristic
1127C2×C22⋊C4C22×D7911yescharacteristic
1128C2×C22⋊C4C22×D7911yescharacteristic
1129C2×C22⋊C4C22×D7911yescharacteristic
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×C42C22×D7911yescharacteristic
1144C2×C42C22×D7911yescharacteristic
1145C2×C42C22×D7911yescharacteristic
1146#95—791no—
1147#95—791no—
1148#95—791no—
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#95—791no—
1174#95—791no—
1175#95—791no—
1176#95C22×D7911yescharacteristic
1177#95C22×D7911yescharacteristic
1178#95C22×D7911yescharacteristic
1179#95C22×D7911yescharacteristic
1180#95C22×D7911yescharacteristic
1181#95C22×D7911yescharacteristic
1182#95C22×D7911yescharacteristic
1183#95C22×D7911yescharacteristic
1184#95C22×D7911yescharacteristic
1185#95C22×D7911yescharacteristic
1186C24—3161no—
1187C24—3161no—
1188C24—3161no—
1189C24—3161no—
1190C24—3161no—
1191C24—3161no—
1192C24—794no—
1193C24—794no—
1194C24—791no—
1195C24—791no—
1196C24—791no—
1197C24—1582no—
1198C24—1582no—
1199C24—1582no—
1200C24—1582no—
1201C24—1582no—
1202C24—1582no—
1203C24C23×D7911yescharacteristic
1204C24C23×D7911yescharacteristic
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—3161no—
1208C2×D4—3161no—
1209C2×D4—31616no—
1210C2×D4—3161no—
1211C2×D4—3161no—
1212C2×D4—794no—
1213C2×D4—794no—
1214C2×D4—794no—
1215C2×D4—1582no—
1216C2×D4—1582no—
1217C2×D4C2×C4×D7914yes—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
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—31616no—
1238C22×C4—3161no—
1239C22×C4—3161no—
1240C22×C4—3161no—
1241C22×C4—3161no—
1242C22×C4—3161no—
1243C22×C4—3161no—
1244C22×C4—3161no—
1245C22×C4—3161no—
1246C22×C4—3161no—
1247C22×C4—3161no—
1248C22×C4—3161no—
1249C22×C4—3161no—
1250C22×C4—3161no—
1251C22×C4—3161no—
1252C22×C4—3161no—
1253C22×C4—3161no—
1254C22×C4—3161no—
1255C22×C4—794no—
1256C22×C4—794no—
1257C22×C4—794no—
1258C22×C4—794no—
1259C22×C4—794no—
1260C22×C4—794no—
1261C22×C4—791no—
1262C22×C4—791no—
1263C22×C4—791no—
1264C22×C4—791no—
1265C22×C4—791no—
1266C22×C4—794no—
1267C22×C4—794no—
1268C22×C4—791no—
1269C22×C4—791no—
1270C22×C4—791no—
1271C22×C4—791no—
1272C22×C4—791no—
1273C22×C4—791no—
1274C22×C4—791no—
1275C22×C4—791no—
1276C22×C4—1582no—
1277C22×C4—1582no—
1278C22×C4—1582no—
1279C22×C4—1582no—
1280C22×C4—1582no—
1281C22×C4—1582no—
1282C22×C4C2×C4×D7914yes—
1283C22×C4C23×D7911yescharacteristic
1284C22×C4C23×D7911yescharacteristic
1285C22×C4C23×D7911yescharacteristic
1286C22×C4C23×D7911yescharacteristic
1287C22×C4C23×D7911yescharacteristic
1288C22×C4C23×D7911yescharacteristic
1289C22×C4C23×D7911yescharacteristic
1290C22×C4C23×D7911yescharacteristic
1291C22×C4C23×D7911yescharacteristic
1292C22×C4C23×D7911yescharacteristic
1293C22×C4C23×D7911yescharacteristic
1294C22×C4C23×D7911yescharacteristic
1295C22×C4C23×D7911yescharacteristic
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—3161no—
1304C4⋊C4—3161no—
1305C4⋊C4—3161no—
1306C4⋊C4—3161no—
1307C4⋊C4—3161no—
1308C4⋊C4—3161no—
1309C4⋊C4—3161no—
1310C4⋊C4—3161no—
1311C4⋊C4—3161no—
1312C4⋊C4—3161no—
1313C4⋊C4—3161no—
1314C4⋊C4—3161no—
1315C4⋊C4—3161no—
1316C4⋊C4—3161no—
1317C4⋊C4—3161no—
1318C4⋊C4—3161no—
1319C4⋊C4—3161no—
1320C4⋊C4—794no—
1321C4⋊C4—794no—
1322C4⋊C4—794no—
1323C4⋊C4—794no—
1324C4⋊C4—794no—
1325C4⋊C4—794no—
1326C4⋊C4C2×C4×D7914yes—
1327C4⋊C4C2×C4×D7914yes—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—3161no—
1334C22⋊C4—3161no—
1335C22⋊C4—3161no—
1336C22⋊C4—3161no—
1337C22⋊C4—3161no—
1338C22⋊C4—3161no—
1339C22⋊C4—3161no—
1340C22⋊C4—3161no—
1341C22⋊C4—3161no—
1342C22⋊C4—3161no—
1343C22⋊C4—3161no—
1344C22⋊C4—3161no—
1345C22⋊C4—3161no—
1346C22⋊C4—3161no—
1347C22⋊C4—3161no—
1348C22⋊C4—3161no—
1349C22⋊C4—3161no—
1350C22⋊C4—794no—
1351C22⋊C4—794no—
1352C22⋊C4—794no—
1353C22⋊C4—794no—
1354C22⋊C4—794no—
1355C22⋊C4—794no—
1356C22⋊C4—794no—
1357C22⋊C4—794no—
1358C22⋊C4—794no—
1359C22⋊C4—1582no—
1360C22⋊C4—1582no—
1361C22⋊C4—1582no—
1362C22⋊C4—1582no—
1363C22⋊C4—1582no—
1364C22⋊C4—1582no—
1365C22⋊C4—1582no—
1366C22⋊C4—1582no—
1367C22⋊C4—1582no—
1368C22⋊C4—1582no—
1369C22⋊C4C2×C4×D7914yes—
1370C22⋊C4C2×C4×D7914yes—
1371C22⋊C4C2×C4×D7914yes—
1372C42—41no—
1373C42—41no—
1374C42—41no—
1375C42—3161no—
1376C42—3161no—
1377C42—3161no—
1378C42—3161no—
1379C42—3161no—
1380C42—3161no—
1381C42—3161no—
1382C42—3161no—
1383C42—3161no—
1384C42—3161no—
1385C42—3161no—
1386C42—3161no—
1387C42—3161no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—3164no—
1399C23—3164no—
1400C23—3164no—
1401C23—3164no—
1402C23—3164no—
1403C23—3164no—
1404C23—3164no—
1405C23—792no—
1406C23—792no—
1407C23—792no—
1408C23—792no—
1409C23—792no—
1410C23—6322no—
1411C23—6322no—
1412C23—6322no—
1413C23—6322no—
1414C23—1588no—
1415C23—1588no—
1416C23—1581no—
1417C23—1581no—
1418C23—1581no—
1419C23—1581no—
1420C23—1581no—
1421C23—1581no—
1422C23—1581no—
1423C23—1581no—
1424C23—1581no—
1425C23—1581no—
1426C23—1581no—
1427C23—1581no—
1428C23—1588no—
1429C23—1581no—
1430C23—1581no—
1431C23—1581no—
1432C23—1581no—
1433C23C22×C4×D7912yes—
1434C23C22×C4×D7912yes—
1435C23#1457920612yes—
1436C23#1457920712yes—
1437C23C24×D7911yescharacteristic
1438D4—28no—
1439D4—3164no—
1440D4—3164no—
1441D4—1588no—
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—28no—
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—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—82no—
1478C2×C4—82no—
1479C2×C4—82no—
1480C2×C4—3164no—
1481C2×C4—3164no—
1482C2×C4—3164no—
1483C2×C4—3164no—
1484C2×C4—3164no—
1485C2×C4—3164no—
1486C2×C4—792no—
1487C2×C4—792no—
1488C2×C4—792no—
1489C2×C4—792no—
1490C2×C4—792no—
1491C2×C4—6322no—
1492C2×C4—6322no—
1493C2×C4—6322no—
1494C2×C4—6322no—
1495C2×C4—6322no—
1496C2×C4—1588no—
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×C4—1581no—
1523C2×C4—1581no—
1524C2×C4—1581no—
1525C2×C4—1581no—
1526C2×C4—1581no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1588no—
1532C2×C4C22×C4×D7912yes—
1533C2×C4C22×C4×D7912yes—
1534C2×C4C22×C4×D7912yes—
1535C2×C4C22×C4×D7912yes—
1536C2×C4C22×C4×D7912yes—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—31616no—
1551C22—3161no—
1552C22—3161no—
1553C22—3161no—
1554C22—3161no—
1555C22—3161no—
1556C22—3161no—
1557C22—3161no—
1558C22—3161no—
1559C22—794no—
1560C22—6328no—
1561C22—1582no—
1562C22—1582no—
1563C22—1582no—
1564C22—1582no—
1565C22—1582no—
1566C22—1582no—
1567C22—1582no—
1568C22—1582no—
1569C22—1582no—
1570C22—1582no—
1571C22—1582no—
1572C22—1582no—
1573C22#1909903514yes—
1574C22C23×C4×D7911yescharacteristic
1575C22H(5,𝔽2)×D7911yescharacteristic
1576C22C2×#1457920611yescharacteristic
1577C22C2×#1457920711yescharacteristic
1578C222−1+4×D7911yescharacteristic
1579C22#1909939811yescharacteristic
1580C22#1909940011yescharacteristic
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—3161no—
1595C4—3161no—
1596C4—3161no—
1597C4—3161no—
1598C4—3161no—
1599C4—3161no—
1600C4—3161no—
1601C4—3161no—
1602C4—1582no—
1603C4—1582no—
1604C4—1582no—
1605C4—1582no—
1606C4—1582no—
1607C2—24no—
1608C2—42no—
1609C2—3162no—
1610C2—3162no—
1611C2—1584no—
1612C2C2×#1909903511yescharacteristic
1613C2#520×D7911yescharacteristic
1614C2#2377660011yescharacteristic
1615C2#2377758011yescharacteristic
1616C2#2377758811yescharacteristic
1617C2#2377759911yescharacteristic
1618C2#2377760711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutatorC22×C79C24×C4
FittingC79×#2322C2
socle, cosocleC23×C79C25
prime radicalC22×D4×D79C22
hypercenter#2322D79
hypocenterC79#34376
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2322

Complements

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

NH ≅ G/Ntype
2. #23766549C2semidirect
3. #23766547C2semidirect
4. #23766545C2semidirect
5. #23766542C2semidirect
6. #23766398C2semidirect
7. #23766394C2semidirect
8. #23766390C2semidirect
9. #23766386C2semidirect
10. #23766276C2semidirect
11. #23766274C2semidirect
12. #23766247C2semidirect
13. #23766247C2semidirect
14. #23766244C2semidirect
15. #23766243C2semidirect
18. #23766197C2semidirect
19. #23766193C2semidirect
20. #23766189C2semidirect
21. #23766185C2semidirect
22. #23766072C2semidirect
23. #23766069C2semidirect
24. #23766066C2semidirect
25. #23766015C2semidirect
26. #23766011C2semidirect
27. #23765999C2semidirect
28. #23765994C2semidirect
29. #23765780C2semidirect
30. C2×#19098420C2semidirect
31. C79×#2322C2semidirect
41. #123×D79C4semidirect
47. C2×#14579117C22semidirect
48. C2×#14579117C22semidirect
49. C22×C4⋊Dic79C22semidirect
63. #19098462C22semidirect
64. #19098462C22semidirect
65. #19098461C22semidirect
66. #19098460C22semidirect
67. #19098460C22semidirect
68. #19098460C22semidirect
69. #19098459C22semidirect
70. #19098458C22semidirect
71. #19098458C22semidirect
72. #19098458C22semidirect
73. #19098457C22semidirect
74. #19098457C22semidirect
75. #19098456C22semidirect
76. #19098456C22semidirect
77. #19098455C22semidirect
78. #19098455C22semidirect
79. #19098455C22semidirect
80. #19098455C22semidirect
81. #19098455C22semidirect
82. #19098454C22semidirect
83. #19098454C22semidirect
84. #19098454C22semidirect
85. #19098453C22semidirect
86. #19098453C22semidirect
87. #19098453C22semidirect
88. #19098453C22semidirect
89. #19098453C22semidirect
90. #19098452C22semidirect
91. #19098452C22semidirect
92. #19098452C22semidirect
93. #19098451C22semidirect
94. #19098451C22semidirect
95. #19098450C22semidirect
96. #19098450C22semidirect
97. #19098450C22semidirect
98. #19098449C22semidirect
99. #19098449C22semidirect
100. #19098448C22semidirect
101. #19098448C22semidirect
102. #19098447C22semidirect
103. #19098446C22semidirect
104. #19098446C22semidirect
105. #19098445C22semidirect
106. #19098444C22semidirect
107. #19098444C22semidirect
108. #19098444C22semidirect
116. #19098438C22semidirect
117. #19098438C22semidirect
118. #19098438C22semidirect
119. #19098437C22semidirect
120. #19098437C22semidirect
121. #19098437C22semidirect
122. #19098436C22semidirect
123. #19098436C22semidirect
124. #19098435C22semidirect
125. #19098435C22semidirect
126. #19098434C22semidirect
127. #19098434C22semidirect
128. #19098434C22semidirect
129. #19098426C22semidirect
136. #19098422C22semidirect
137. #19098422C22semidirect
144. #19098420C22semidirect
145. #19098420C22semidirect
146. #19098420C22semidirect
147. #19098420C22semidirect
152. C4⋊C4×Dic79C22semidirect
153. C4×Dic79⋊C4C22semidirect
154. C4×C4⋊Dic79C22semidirect
155. #19098414C22semidirect
156. C22⋊C4×Dic79C22semidirect
157. C22⋊C4×Dic79C22semidirect
158. C22⋊C4×Dic79C22semidirect
161. C4×(C2×D79)⋊C4C22semidirect
162. C4×C22⋊Dic79C22semidirect
163. C4×C22⋊Dic79C22semidirect
168. #19098410C22semidirect
169. #19098410C22semidirect
170. #19098410C22semidirect
171. C2×C79⋊#95C22semidirect
172. C2×C79⋊#95C22semidirect
175. C22×C4⋊C4×C79C22semidirect
176. #389×C79C22semidirect
177. #389×C79C22semidirect
178. #388×C79C22semidirect
179. #388×C79C22semidirect
180. #387×C79C22semidirect
181. #387×C79C22semidirect
183. #385×C79C22semidirect
184. #385×C79C22semidirect
185. #385×C79C22semidirect
186. #381×C79C22semidirect
187. C4×C22⋊C4×C79C22semidirect
202. C22×C4×D79C2×C4semidirect
212. #14579146C2×C4semidirect
213. #14579146C2×C4semidirect
214. #14579145C2×C4semidirect
215. #14579144C2×C4semidirect
216. #14579143C2×C4semidirect
217. #14579143C2×C4semidirect
218. #14579142C2×C4semidirect
250. C4⋊C4×D79C2×C4semidirect
251. C4⋊C4×D79C2×C4semidirect
292. C22⋊C4×D79C2×C4semidirect
293. C22⋊C4×D79C2×C4semidirect
294. C22⋊C4×D79C2×C4semidirect
343. #123×C79C2×C4semidirect
834. #2322D79semidirect
841. C79#34376semidirect
864. C22×C4⋊C4C2×D79semidirect
886. #389C2×D79semidirect
887. #389C2×D79semidirect
910. #388C2×D79semidirect
911. #388C2×D79semidirect
926. #387C2×D79semidirect
927. #387C2×D79semidirect
949. #385C2×D79semidirect
950. #385C2×D79semidirect
951. #385C2×D79semidirect
955. #381C2×D79semidirect
995. C4×C22⋊C4C2×D79semidirect
1034. #123C4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D792
#237665492
#237665472
#237665452
#237665422
#237663982
#237663942
#237663902
#237663862
#237662762
#237662742
#237662472
#237662442
#237662432
#237662182
D4×(C2×D79)⋊C42
#237661972
#237661932
#237661892
#237661852
#237660722
#237660692
#237660662
#237660152
#237660112
#237659992
#237659942
#237657802
C2×#190984202
C79×#23222
#3437679