Finite Group Databasebeta

← #34453617

Subgroups — #34453617

Order 20224.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099202C211yesmaximal, characteristic
2#23766562C211yesmaximal, characteristic, complemented
3#23766551C211yesmaximal, characteristic, complemented
4#23766545C211yesmaximal, characteristic, complemented
5#23766537C211yesmaximal, characteristic, complemented
6#23766508C211yesmaximal, characteristic, complemented
7#23766452C211yesmaximal, characteristic, complemented
8#23766439C211yesmaximal, characteristic, complemented
9#23766386C211yesmaximal, characteristic, complemented
10#23766377C211yesmaximal, characteristic, complemented
11#23766342C211yesmaximal, characteristic, complemented
12#23766334C211yesmaximal, characteristic, complemented
13#23766246C211yesmaximal, characteristic, complemented
14#23766243C211yesmaximal, characteristic, complemented
15#23766225C211yesmaximal, characteristic, complemented
16D4×(C2×D79)⋊C4C211yesmaximal, characteristic, complemented
17#23766211C211yesmaximal, characteristic, complemented
18#23766184C211yesmaximal, characteristic, complemented
19#23766163C211yesmaximal, characteristic, complemented
20#23766151C211yesmaximal, characteristic, complemented
21#23766098C211yesmaximal, characteristic, complemented
22#23766074C211yesmaximal, characteristic, complemented
23#23766063C211yesmaximal, characteristic, complemented
24#23766054C211yesmaximal, characteristic, complemented
25#23766041C211yesmaximal, characteristic, complemented
26#23765994C211yesmaximal, characteristic, complemented
27#23765987C211yesmaximal, characteristic, complemented
28#23765974C211yesmaximal, characteristic, complemented
29#23765843C211yesmaximal, characteristic, complemented
30C2×#19098454C211yesmaximal, characteristic, complemented
31C4×#121×C79C211yesmaximal, characteristic, complemented
32C22×#11929623C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34#19099202C4116yescomplemented
35C2×#14579147C2211yescharacteristic
36C2×#14579146C2211yescharacteristic
37C2×#14579142C2211yescharacteristic
38C2×#14579139C2211yescharacteristic
39C2×#14579134C2211yescharacteristic
40C2×#14579133C2211yescharacteristic
41C2×#14579129C2211yescharacteristic
42C2×#14579129C2211yescharacteristic
43C2×D4×Dic79C2211yescharacteristic
44C2×D4×Dic79C2211yescharacteristic, complemented
45C2×C4×C22⋊D79C2211yescharacteristic
46C2×C4×C22⋊D79C2211yescharacteristic, complemented
47C2×(C22⋊D79)⋊C4C2211yescharacteristic
48C2×#14579118C2211yescharacteristic, complemented
49C2×#14579117C2211yescharacteristic, complemented
50C22×Dic79⋊C4C2211yescharacteristic, complemented
51C22×(C2×D79)⋊C4C2211yescharacteristic
52C22×(C2×D79)⋊C4C2211yescharacteristic
53C22×(C2×D79)⋊C4C2211yescharacteristic
54C22×(C2×D79)⋊C4C2211yescharacteristic
55C2×C22⋊C4×D79C2211yescharacteristic
56C2×C22⋊C4×D79C2211yescharacteristic
57#19098469C2211yescharacteristic, complemented
58#19098468C2211yescharacteristic, complemented
59#19098467C2211yescharacteristic, complemented
60#19098467C2211yescharacteristic, complemented
61#19098465C2211yescharacteristic
62#19098464C2211yescharacteristic
63#19098463C2211yescharacteristic
64#19098463C2211yescharacteristic
65#19098463C2211yescharacteristic, complemented
66#19098463C2211yescharacteristic, complemented
67#19098463C2211yescharacteristic, complemented
68#19098460C2211yescharacteristic, complemented
69#19098460C2211yescharacteristic, complemented
70#19098458C2211yescharacteristic, complemented
71#19098457C2211yescharacteristic, complemented
72#19098456C2211yescharacteristic, complemented
73#19098456C2211yescharacteristic, complemented
74#19098455C2211yescharacteristic
75#19098455C2211yescharacteristic, complemented
76#19098454C2211yescharacteristic
77#19098454C2211yescharacteristic
78#19098454C2211yescharacteristic
79#19098454C2211yescharacteristic
80#19098454C2211yescharacteristic
81#19098454C2211yescharacteristic, complemented
82#19098454C2211yescharacteristic, complemented
83#19098454C2211yescharacteristic, complemented
84#19098454C2211yescharacteristic, complemented
85#19098454C2211yescharacteristic, complemented
86#19098454C2211yescharacteristic, complemented
87#19098453C2211yescharacteristic
88#19098453C2211yescharacteristic
89#19098453C2211yescharacteristic
90#19098453C2211yescharacteristic, complemented
91#19098453C2211yescharacteristic, complemented
92#19098452C2211yescharacteristic
93#19098452C2211yescharacteristic
94#19098452C2211yescharacteristic
95#19098452C2211yescharacteristic, complemented
96#19098451C2211yescharacteristic, complemented
97#19098451C2211yescharacteristic, complemented
98#19098451C2211yescharacteristic, complemented
99#19098449C2211yescharacteristic, complemented
100#19098449C2211yescharacteristic, complemented
101#19098447C2211yescharacteristic, complemented
102#19098447C2211yescharacteristic, complemented
103#19098447C2211yescharacteristic, complemented
104#19098445C2211yescharacteristic, complemented
105#19098445C2211yescharacteristic, complemented
106#19098444C2211yescharacteristic, complemented
107#19098444C2211yescharacteristic, complemented
108#19098444C2211yescharacteristic, complemented
109#19098443C2211yescharacteristic
110#19098443C2211yescharacteristic, complemented
111#19098443C2211yescharacteristic, complemented
112#19098443C2211yescharacteristic, complemented
113#19098442C2211yescharacteristic
114#19098442C2211yescharacteristic
115#19098442C2211yescharacteristic
116#19098442C2211yescharacteristic
117#19098442C2211yescharacteristic, complemented
118#19098441C2211yescharacteristic
119#19098441C2211yescharacteristic
120#19098440C2211yescharacteristic
121#19098440C2211yescharacteristic
122#19098440C2211yescharacteristic
123#19098440C2211yescharacteristic
124#19098440C2211yescharacteristic, complemented
125#19098440C2211yescharacteristic, complemented
126#19098439C2211yescharacteristic
127#19098439C2211yescharacteristic
128#19098439C2211yescharacteristic, complemented
129#19098436C2211yescharacteristic, complemented
130#19098436C2211yescharacteristic, complemented
131#19098436C2211yescharacteristic, complemented
132#19098435C2211yescharacteristic, complemented
133#19098435C2211yescharacteristic, complemented
134#19098434C2211yescharacteristic, complemented
135#19098434C2211yescharacteristic, complemented
136#19098434C2211yescharacteristic, complemented
137#19098430C2211yescharacteristic, complemented
138#19098425C2211yescharacteristic
139#19098425C2211yescharacteristic
140#19098425C2211yescharacteristic, complemented
141#19098424C2211yescharacteristic, complemented
142#19098424C2211yescharacteristic, complemented
143#19098422C2211yescharacteristic, complemented
144#19098422C2211yescharacteristic, complemented
145#19098421C2211yescharacteristic, complemented
146#19098421C2211yescharacteristic, complemented
147#19098420C2211yescharacteristic
148#19098420C2211yescharacteristic, complemented
149#19098418C2211yescharacteristic
150#19098418C2211yescharacteristic
151#19098418C2211yescharacteristic
152#19098418C2211yescharacteristic
153C4×Dic79⋊C4C2211yescharacteristic, complemented
154C4×Dic79⋊C4C2211yescharacteristic, complemented
155C22⋊C4×Dic79C2211yescharacteristic, complemented
156C22⋊C4×Dic79C2211yescharacteristic, complemented
157C22⋊C4×Dic79C2211yescharacteristic, complemented
158C22⋊C4×Dic79C2211yescharacteristic, complemented
159C4×(C2×D79)⋊C4C2211yescharacteristic
160C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
163C4×C22⋊Dic79C2211yescharacteristic, complemented
164C4×C22⋊Dic79C2211yescharacteristic, complemented
165#19098410C2211yescharacteristic, complemented
166#19098410C2211yescharacteristic, complemented
167#19098410C2211yescharacteristic, complemented
168#19098409C2211yescharacteristic, complemented
169#19098408C2211yescharacteristic, complemented
170C2×C79⋊#95C2211yescharacteristic, complemented
171C2×C79⋊#95C2211yescharacteristic, complemented
172C2×C79⋊#95C2211yescharacteristic, complemented
173C2×#121×C79C2211yescharacteristic
174C2×C4×D4×C79C2211yescharacteristic
175C2×C4×D4×C79C2211yescharacteristic, complemented
176C2×C4×D4×C79C2211yescharacteristic, complemented
177C22×C42×C79C2211yescharacteristic, complemented
178#390×C79C2211yescharacteristic, complemented
179#389×C79C2211yescharacteristic, complemented
180#388×C79C2211yescharacteristic, complemented
181#388×C79C2211yescharacteristic, complemented
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic, complemented
184#380×C79C2211yescharacteristic, complemented
185C4×C4⋊C4×C79C2211yescharacteristic, complemented
186C4×C22⋊C4×C79C2211yescharacteristic, complemented
187C4×C22⋊C4×C79C2211yescharacteristic, complemented
188C24×D79C2311yescharacteristic
189C24×D79C2311yescharacteristic
190C2×#11929623—42no—
191C2×#11929623—42no—
192C2×#11929623C2×C418yescomplemented
193C22×Dic158C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C2×D4×D79—42no—
201C2×D4×D79—42no—
202C2×D4×D79C2×C418yescomplemented
203C23×Dic79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C23×Dic79C2311yescharacteristic
207C23×Dic79C2311yescharacteristic
208C23×Dic79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214#14579147C2×C418yescomplemented
215#14579146C2×C418yescomplemented
216#14579142C2×C418yescomplemented
217#14579139C2×C418yescomplemented
218#14579134C2×C418yescomplemented
219#14579133C2×C418yescomplemented
220#14579129C2×C418yescomplemented
221#14579129C2×C418yescomplemented
222D4×Dic79—42no—
223D4×Dic79—42no—
224C4×C22⋊D79—42no—
225C4×C22⋊D79C2×C418yescomplemented
226(C22⋊D79)⋊C4C2×C418yescomplemented
227#14579118—42no—
228#14579117—42no—
229C2×C4⋊Dic79C2311yescharacteristic
230C2×C4⋊Dic79C2311yescharacteristic
231C2×Dic79⋊C4—42no—
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×C22⋊Dic79C2311yescharacteristic
246C2×C22⋊Dic79C2311yescharacteristic
247C2×C22⋊Dic79C2311yescharacteristic
248C2×C22⋊Dic79C2311yescharacteristic
249C2×C22⋊Dic79C2311yescharacteristic
250C2×C22⋊Dic79C2311yescharacteristic
251C2×C22⋊Dic79C2311yescharacteristic
252C2×C22⋊Dic79C2311yescharacteristic
253C2×C22⋊Dic79C2311yescharacteristic
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×(C2×D79)⋊C4—42no—
257C2×(C2×D79)⋊C4—42no—
258C2×(C2×D79)⋊C4—42no—
259C2×(C2×D79)⋊C4C2×C418yescomplemented
260C2×(C2×D79)⋊C4C2311yescharacteristic
261C2×(C2×D79)⋊C4C2311yescharacteristic
262C2×(C2×D79)⋊C4C2311yescharacteristic
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
289C22⋊C4×D79—42no—
290C22⋊C4×D79C2×C418yescomplemented
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
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
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
336C22×D4×C79C2311yescharacteristic
337C22×D4×C79C2311yescharacteristic
338C22×D4×C79C2311yescharacteristic
339C23×C4×C79C2311yescharacteristic
340C23×C4×C79C2311yescharacteristic
341C23×C4×C79C2311yescharacteristic
342C23×C4×C79C2311yescharacteristic
343C23×C4×C79C2311yescharacteristic
344#121×C79C2×C418yescomplemented
345C4×D4×C79—42no—
346C4×D4×C79—42no—
347C4×D4×C79—42no—
348C2×C4⋊C4×C79C2311yescharacteristic
349C2×C4⋊C4×C79C2311yescharacteristic
350C2×C4⋊C4×C79C2311yescharacteristic
351C2×C4⋊C4×C79C2311yescharacteristic
352C2×C4⋊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×C42×C79—42no—
364C2×C42×C79C2311yescharacteristic
365C2×C42×C79C2311yescharacteristic
366C2×C42×C79C2311yescharacteristic
367C2×C42×C79C2311yescharacteristic
368C2×C42×C79C2311yescharacteristic
369C2×C42×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×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
393#11929623—416no—
394C2×Dic158—41no—
395C2×Dic158—41no—
396C2×Dic158C22×C414yes—
397C2×D316—41no—
398C2×D316—41no—
399C2×D316C22×C414yes—
400C2×C22⋊D79—22no—
401C2×C22⋊D79—22no—
402C2×C22⋊D79—41no—
403C2×C22⋊D79—41no—
404C2×C22⋊D79—41no—
405C2×C22⋊D79—41no—
406C2×C22⋊D79—41no—
407C2×C22⋊D79—41no—
408C2×C22⋊D79—41no—
409C2×C22⋊D79—41no—
410C2×C22⋊D79C22×C414yes—
411C2×C22⋊D79C22×C414yes—
412C2×C22⋊D79C22×C414yes—
413C2×C22⋊D79C22×C414yes—
414C2×C22⋊D79C22×C414yes—
415D4×D79—416no—
416C22×Dic79—22no—
417C22×Dic79—22no—
418C22×Dic79—22no—
419C22×Dic79—22no—
420C22×Dic79—41no—
421C22×Dic79—41no—
422C22×Dic79—41no—
423C22×Dic79—41no—
424C22×Dic79—41no—
425C22×Dic79—41no—
426C22×Dic79—41no—
427C22×Dic79—41no—
428C22×Dic79—41no—
429C22×Dic79—41no—
430C22×Dic79—41no—
431C22×Dic79—41no—
432C22×Dic79C22×C414yes—
433C22×Dic79C22×C414yes—
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
443C22×Dic79C2411yescharacteristic
444C22×Dic79C2411yescharacteristic
445C22×Dic79C2411yescharacteristic
446C22×Dic79C2411yescharacteristic
447C2×C4×D79—41no—
448C2×C4×D79—41no—
449C2×C4×D79—41no—
450C2×C4×D79—41no—
451C2×C4×D79—41no—
452C2×C4×D79—41no—
453C2×C4×D79—41no—
454C2×C4×D79—41no—
455C2×C4×D79—41no—
456C2×C4×D79—41no—
457C2×C4×D79—41no—
458C2×C4×D79—41no—
459C2×C4×D79C22×C414yes—
460C2×C4×D79C22×C414yes—
461C2×C4×D79C22×C414yes—
462C4⋊Dic79—41no—
463C4⋊Dic79—41no—
464Dic79⋊C4—22no—
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⋊C4C22×C414yes—
475Dic79⋊C4C22×C414yes—
476Dic79⋊C4C22×C414yes—
477C22⋊Dic79—22no—
478C22⋊Dic79—22no—
479C22⋊Dic79—41no—
480C22⋊Dic79—41no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79C22×C414yes—
486C22⋊Dic79C22×C414yes—
487C22⋊Dic79C22×C414yes—
488(C2×D79)⋊C4—22no—
489(C2×D79)⋊C4—22no—
490(C2×D79)⋊C4—22no—
491(C2×D79)⋊C4—41no—
492(C2×D79)⋊C4—41no—
493(C2×D79)⋊C4—41no—
494(C2×D79)⋊C4—41no—
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)⋊C4—41no—
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—
515(C2×D79)⋊C4C22×C414yes—
516(C2×D79)⋊C4C22×C414yes—
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×Dic79C22×C414yes—
528C24×C79C2411yescharacteristic
529C24×C79C2411yescharacteristic
530C24×C79C2411yescharacteristic
531C2×D4×C79—22no—
532C2×D4×C79—22no—
533C2×D4×C79—22no—
534C2×D4×C79—22no—
535C2×D4×C79—41no—
536C2×D4×C79—41no—
537C2×D4×C79C22×C414yes—
538C2×D4×C79C22×C414yes—
539C2×D4×C79C22×C414yes—
540C22×C4×C79—22no—
541C22×C4×C79—22no—
542C22×C4×C79—22no—
543C22×C4×C79—22no—
544C22×C4×C79—22no—
545C22×C4×C79—41no—
546C22×C4×C79—41no—
547C22×C4×C79—41no—
548C22×C4×C79—41no—
549C22×C4×C79—41no—
550C22×C4×C79—41no—
551C22×C4×C79—41no—
552C22×C4×C79—41no—
553C22×C4×C79—41no—
554C22×C4×C79C22×C414yes—
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C22×C4×C79C2411yescharacteristic
559C22×C4×C79C2411yescharacteristic
560C22×C4×C79C2411yescharacteristic
561C22×C4×C79C2411yescharacteristic
562C22×C4×C79C2411yescharacteristic
563C22×C4×C79C2411yescharacteristic
564C22×C4×C79C2411yescharacteristic
565C22×C4×C79C2411yescharacteristic
566C22×C4×C79C2411yescharacteristic
567C4⋊C4×C79—41no—
568C4⋊C4×C79—41no—
569C4⋊C4×C79—41no—
570C4⋊C4×C79—41no—
571C4⋊C4×C79C22×C414yes—
572C22⋊C4×C79—22no—
573C22⋊C4×C79—22no—
574C22⋊C4×C79—41no—
575C22⋊C4×C79—41no—
576C22⋊C4×C79—41no—
577C22⋊C4×C79—41no—
578C22⋊C4×C79—41no—
579C22⋊C4×C79—41no—
580C22⋊C4×C79C22×C414yes—
581C22⋊C4×C79C22×C414yes—
582C42×C79—22no—
583C42×C79—22no—
584C42×C79—41no—
585C42×C79—41no—
586C42×C79—41no—
587C42×C79—41no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79—21no—
596C23×C79—21no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79—21no—
602C23×C79—21no—
603C23×C79—21no—
604C23×C79C23×C412yes—
605C23×C79C23×C412yes—
606C23×C79C23×C412yes—
607C23×C79H(5,𝔽2)12yes—
608C23×C79H(5,𝔽2)12yes—
609C23×C79C2511yescharacteristic
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—21no—
619C22×D79—21no—
620C22×D79—21no—
621C22×D79—21no—
622C22×D79—21no—
623C22×D79—21no—
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—28no—
629C22×D79—44no—
630C22×D79—44no—
631C22×D79—44no—
632C22×D79—44no—
633C22×D79—44no—
634C22×D79—82no—
635C22×D79—82no—
636C22×D79—82no—
637C22×D79—82no—
638C22×D79—82no—
639C22×D79—82no—
640C22×D79—82no—
641C22×D79—82no—
642C22×D79C23×C412yes—
643C22×D79C23×C412yes—
644C22×D79C23×C412yes—
645D4×C79—28no—
646D4×C79—28no—
647D4×C79—44no—
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—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—44no—
680C2×C4×C79—44no—
681C2×C4×C79—44no—
682C2×C4×C79—82no—
683C2×C4×C79—82no—
684C2×C4×C79C23×C412yes—
685C2×C4×C79C23×C412yes—
686C2×C4×C79C23×C412yes—
687C2×C4×C79C23×C412yes—
688C2×C4×C79H(5,𝔽2)12yes—
689C22⋊D79—28no—
690C22⋊D79—44no—
691C22⋊D79—44no—
692C22⋊D79—44no—
693C22⋊D79—44no—
694C2×Dic79—28no—
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—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—44no—
730C2×Dic79—82no—
731C2×Dic79—82no—
732C2×Dic79—82no—
733C2×Dic79—82no—
734C2×Dic79C23×C412yes—
735C2×Dic79C23×C412yes—
736C2×Dic79C23×C412yes—
737C2×Dic79C23×C412yes—
738C2×Dic79C23×C412yes—
739D316—44no—
740C4×D79—44no—
741C4×D79—44no—
742C4×D79—44no—
743C4×D79—82no—
744C4×D79—82no—
745Dic158—44no—
746C22×C79—22no—
747C22×C79—22no—
748C22×C79—22no—
749C22×C79—22no—
750C22×C79—22no—
751C22×C79—22no—
752C22×C79—22no—
753C22×C79—22no—
754C22×C79—22no—
755C22×C79—22no—
756C22×C79—22no—
757C22×C79—22no—
758C22×C79—41no—
759C22×C79—41no—
760C22×C79—41no—
761C22×C79—41no—
762C22×C79—41no—
763C22×C79—41no—
764C22×C79—41no—
765C22×C79—41no—
766C22×C79#51814yes—
767C22×C79C24×C411yescharacteristic
768C22×C79C2×H(5,𝔽2)11yescharacteristic
769C22×C79C2×H(5,𝔽2)11yescharacteristic
770C22×C79C2×H(5,𝔽2)11yescharacteristic
771C22×C79#58511yescharacteristic
772C22×C79#58511yescharacteristic
773C22×C79#58511yescharacteristic
774C2×D79—22no—
775C2×D79—22no—
776C2×D79—22no—
777C2×D79—22no—
778C2×D79—22no—
779C2×D79—22no—
780C2×D79—22no—
781C2×D79—22no—
782C2×D79—22no—
783C2×D79—41no—
784C2×D79—41no—
785C2×D79—41no—
786C2×D79—41no—
787C2×D79—41no—
788C2×D79—41no—
789C2×D79—41no—
790C2×D79—41no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
794C2×D79—41no—
795C2×D79—88no—
796C2×D79—88no—
797C4×C79—22no—
798C4×C79—22no—
799C4×C79—22no—
800C4×C79—22no—
801C4×C79—22no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79—41no—
808C4×C79—41no—
809Dic79—22no—
810Dic79—22no—
811Dic79—22no—
812Dic79—22no—
813Dic79—22no—
814Dic79—41no—
815Dic79—41no—
816Dic79—41no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822#34492—791nomaximal, Sylow
823C2×C79—24no—
824C2×C79—42no—
825C2×C79—42no—
826C2×C79C2×#51811yescharacteristic
827C2×C79#342811yescharacteristic
828C2×C79C4×H(5,𝔽2)11yescharacteristic
829C2×C79#353411yescharacteristic
830C2×C79#354211yescharacteristic
831C2×C79#354511yescharacteristic
832C2×C79#356011yescharacteristic
833D79—42no—
834D79—42no—
835D79—42no—
836C2×#546—791no—
837#2378—791no—
838#2377—791no—
839#2376—791no—
840#2375—791no—
841#2372—791no—
842#2364—791no—
843#2363—791no—
844#2359—791no—
845#2358—791no—
846#2353—791no—
847#2353—791no—
848#2342—791no—
849#2342—791no—
850#2339—791no—
851D4×C22⋊C4—791no—
852#2337—791no—
853#2335—791no—
854#2333—791no—
855#2332—791no—
856#2325—791no—
857#2322—791no—
858#2321—791no—
859#2321—791no—
860#2319—791no—
861#2312—791no—
862#2311—791no—
863#2308—791no—
864C4×#121D7911yescharacteristic, complemented
865#2290—791no—
866C2×#388—791no—
867C79#3449211yescharacteristic, complemented, Sylow
868C22×#41—791no—
869C23×D4—791no—
870#546—7916no—
871C2×#124—791no—
872C2×#123—791no—
873C2×#123—791no—
874C2×C22⋊Q8—791no—
875C2×#121—791no—
876C2×#121—791no—
877C2×#121C2×D7911yescharacteristic
878C2×#120—791no—
879C2×#120—791no—
880C2×C4×D4—791no—
881C2×C4×D4—791no—
882C2×C4×D4—791no—
883C2×C4×D4—791no—
884C2×C4×D4—791no—
885C2×C4×D4C2×D7911yescharacteristic
886C2×C4×D4C2×D7911yescharacteristic, complemented
887C2×C4×D4C2×D7911yescharacteristic, complemented
888C2×#117—791no—
889C2×#117—791no—
890C22×C4⋊C4—791no—
891C22×C22⋊C4—791no—
892C22×C22⋊C4—791no—
893C22×C22⋊C4—791no—
894C22×C22⋊C4—791no—
895C22×C22⋊C4—791no—
896C22×C22⋊C4—791no—
897C22×C42C2×D7911yescharacteristic, complemented
898#391—791no—
899#391—791no—
900#391—791no—
901#391—791no—
902#390—791no—
903#390—791no—
904#390—791no—
905#390—791no—
906#390—791no—
907#390—791no—
908#390—791no—
909#390C2×D7911yescharacteristic, complemented
910#389—791no—
911#389—791no—
912#389—791no—
913#389C2×D7911yescharacteristic, complemented
914#388—791no—
915#388—791no—
916#388—791no—
917#388—791no—
918#388—791no—
919#388—791no—
920#388—791no—
921#388—791no—
922#388—791no—
923#388—791no—
924#388—791no—
925#388—791no—
926#388—791no—
927#388—791no—
928#388—791no—
929#388—791no—
930#388—791no—
931#388—791no—
932#388—791no—
933#388—791no—
934#388—791no—
935#388—791no—
936#388—791no—
937#388—791no—
938#388—791no—
939#388—791no—
940#388—791no—
941#388—791no—
942#388C2×D7911yescharacteristic, complemented
943#388C2×D7911yescharacteristic, complemented
944#387—791no—
945#387—791no—
946#387—791no—
947#387—791no—
948#387—791no—
949#387—791no—
950#387—791no—
951#387—791no—
952#387—791no—
953#387—791no—
954#386—791no—
955#386—791no—
956#386—791no—
957#386—791no—
958#386—791no—
959#386—791no—
960#386—791no—
961#386—791no—
962#386—791no—
963#386—791no—
964#386—791no—
965#386—791no—
966#386—791no—
967#386—791no—
968#386—791no—
969#386—791no—
970#386—791no—
971#386—791no—
972#386—791no—
973#386—791no—
974#386C2×D7911yescharacteristic
975#386C2×D7911yescharacteristic, complemented
976#385—791no—
977#385—791no—
978#385—791no—
979#385—791no—
980#385—791no—
981#385—791no—
982#385—791no—
983#385—791no—
984#383—791no—
985#381—791no—
986#381—791no—
987#381—791no—
988#381—791no—
989#381—791no—
990#380—791no—
991#380—791no—
992#380—791no—
993#380—791no—
994#380—791no—
995#380—791no—
996#380C2×D7911yescharacteristic, complemented
997#379—791no—
998#379—791no—
999#379—791no—
1000#379—791no—
1001C4×C4⋊C4—791no—
1002C4×C4⋊C4—791no—
1003C4×C4⋊C4C2×D7911yescharacteristic, complemented
1004C4×C22⋊C4—791no—
1005C4×C22⋊C4—791no—
1006C4×C22⋊C4—791no—
1007C4×C22⋊C4—791no—
1008C4×C22⋊C4—791no—
1009C4×C22⋊C4—791no—
1010C4×C22⋊C4—791no—
1011C4×C22⋊C4—791no—
1012C4×C22⋊C4—791no—
1013C4×C22⋊C4—791no—
1014C4×C22⋊C4—791no—
1015C4×C22⋊C4—791no—
1016C4×C22⋊C4—791no—
1017C4×C22⋊C4C2×D7911yescharacteristic, complemented
1018C4×C22⋊C4C2×D7911yescharacteristic, complemented
1019#376—791no—
1020#376—791no—
1021C2×#95—791no—
1022C2×#95—791no—
1023C2×#95—791no—
1024C25—791no—
1025C25—791no—
1026C2×#41—3162no—
1027C2×#41—3162no—
1028C2×#41—798no—
1029C22×Q8—791no—
1030C22×D4—3162no—
1031C22×D4—3162no—
1032C22×D4—791no—
1033C22×D4—791no—
1034C22×D4—791no—
1035C22×D4—791no—
1036C22×D4—798no—
1037C22×D4—791no—
1038C22×D4—791no—
1039C22×D4C22×D7911yescharacteristic
1040C22×D4C22×D7911yescharacteristic
1041C22×D4C22×D7911yescharacteristic
1042C23×C4—791no—
1043C23×C4—791no—
1044C23×C4—791no—
1045C23×C4—791no—
1046C23×C4—791no—
1047C23×C4—791no—
1048C23×C4—791no—
1049C23×C4—791no—
1050C23×C4—791no—
1051C23×C4—791no—
1052C23×C4—791no—
1053C23×C4C22×D7911yescharacteristic
1054C23×C4C22×D7911yescharacteristic
1055C23×C4C22×D7911yescharacteristic
1056C23×C4C22×D7911yescharacteristic
1057C23×C4C22×D7911yescharacteristic
1058#124—798no—
1059#123—798no—
1060#123—798no—
1061C22⋊Q8—798no—
1062#121—798no—
1063#121—798no—
1064#121C4×D7918yescomplemented
1065#120—798no—
1066#120—798no—
1067C4×D4—42no—
1068C4×D4—42no—
1069C4×D4—42no—
1070C4×D4—3162no—
1071C4×D4—3162no—
1072C4×D4—3162no—
1073C4×D4—798no—
1074C4×D4—798no—
1075#117—3162no—
1076#117—3162no—
1077C2×C4⋊C4—3162no—
1078C2×C4⋊C4—791no—
1079C2×C4⋊C4—791no—
1080C2×C4⋊C4—791no—
1081C2×C4⋊C4—791no—
1082C2×C4⋊C4—791no—
1083C2×C4⋊C4—791no—
1084C2×C4⋊C4—791no—
1085C2×C4⋊C4—791no—
1086C2×C4⋊C4—791no—
1087C2×C4⋊C4—791no—
1088C2×C4⋊C4—791no—
1089C2×C4⋊C4—791no—
1090C2×C4⋊C4—791no—
1091C2×C4⋊C4—791no—
1092C2×C4⋊C4—791no—
1093C2×C4⋊C4C22×D7911yescharacteristic
1094C2×C4⋊C4C22×D7911yescharacteristic
1095C2×C4⋊C4C22×D7911yescharacteristic
1096C2×C4⋊C4C22×D7911yescharacteristic
1097C2×C4⋊C4C22×D7911yescharacteristic
1098C2×C22⋊C4—3162no—
1099C2×C22⋊C4—3162no—
1100C2×C22⋊C4—3162no—
1101C2×C22⋊C4—3162no—
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—791no—
1110C2×C22⋊C4—791no—
1111C2×C22⋊C4—791no—
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⋊C4—791no—
1123C2×C22⋊C4—791no—
1124C2×C22⋊C4—791no—
1125C2×C22⋊C4—791no—
1126C2×C22⋊C4—791no—
1127C2×C22⋊C4—791no—
1128C2×C22⋊C4—791no—
1129C2×C22⋊C4—791no—
1130C2×C22⋊C4—798no—
1131C2×C22⋊C4—791no—
1132C2×C22⋊C4—791no—
1133C2×C22⋊C4—791no—
1134C2×C22⋊C4—791no—
1135C2×C22⋊C4—791no—
1136C2×C22⋊C4—791no—
1137C2×C22⋊C4—791no—
1138C2×C22⋊C4—798no—
1139C2×C22⋊C4—791no—
1140C2×C22⋊C4—791no—
1141C2×C22⋊C4—791no—
1142C2×C22⋊C4—791no—
1143C2×C22⋊C4—791no—
1144C2×C22⋊C4C22×D7911yescharacteristic
1145C2×C22⋊C4C22×D7911yescharacteristic
1146C2×C22⋊C4C22×D7911yescharacteristic
1147C2×C22⋊C4C22×D7911yescharacteristic
1148C2×C22⋊C4C22×D7911yescharacteristic
1149C2×C22⋊C4C22×D7911yescharacteristic
1150C2×C22⋊C4C22×D7911yescharacteristic
1151C2×C22⋊C4C22×D7911yescharacteristic
1152C2×C22⋊C4C22×D7911yescharacteristic
1153C2×C22⋊C4C22×D7911yescharacteristic
1154C2×C42—42no—
1155C2×C42—791no—
1156C2×C42—791no—
1157C2×C42—791no—
1158C2×C42—791no—
1159C2×C42—791no—
1160C2×C42—791no—
1161C2×C42—791no—
1162C2×C42—791no—
1163C2×C42—791no—
1164C2×C42—791no—
1165C2×C42—791no—
1166C2×C42C22×D7911yescharacteristic
1167C2×C42C22×D7911yescharacteristic
1168C2×C42C22×D7911yescharacteristic
1169C2×C42C22×D7911yescharacteristic
1170C2×C42C22×D7911yescharacteristic
1171C2×C42C22×D7911yescharacteristic
1172#95—791no—
1173#95—791no—
1174#95—791no—
1175#95—791no—
1176#95—791no—
1177#95—791no—
1178#95—791no—
1179#95—791no—
1180#95—791no—
1181#95—791no—
1182#95—791no—
1183#95—791no—
1184#95—791no—
1185#95—791no—
1186#95—791no—
1187#95—791no—
1188#95—791no—
1189#95—791no—
1190#95—791no—
1191#95—791no—
1192#95—791no—
1193#95—791no—
1194#95—791no—
1195#95—791no—
1196#95—791no—
1197#95—791no—
1198#95—791no—
1199#95—791no—
1200#95—791no—
1201#95—791no—
1202#95—791no—
1203#95—791no—
1204#95—791no—
1205#95—791no—
1206#95C22×D7911yescharacteristic
1207#95C22×D7911yescharacteristic
1208#95C22×D7911yescharacteristic
1209#95C22×D7911yescharacteristic
1210#95C22×D7911yescharacteristic
1211#95C22×D7911yescharacteristic
1212C24—3161no—
1213C24—3161no—
1214C24—3161no—
1215C24—3161no—
1216C24—3161no—
1217C24—3161no—
1218C24—3161no—
1219C24—3161no—
1220C24—3161no—
1221C24—3161no—
1222C24—794no—
1223C24—794no—
1224C24—791no—
1225C24—791no—
1226C24—791no—
1227C24—1582no—
1228C24—1582no—
1229C24C23×D7911yescharacteristic
1230C24C23×D7911yescharacteristic
1231C24C23×D7911yescharacteristic
1232#41—31616no—
1233C2×Q8—3161no—
1234C2×Q8—3161no—
1235C2×Q8—794no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—3161no—
1243C2×D4—3161no—
1244C2×D4—31616no—
1245C2×D4—3161no—
1246C2×D4—3161no—
1247C2×D4—3161no—
1248C2×D4—3161no—
1249C2×D4—3161no—
1250C2×D4—3161no—
1251C2×D4—3161no—
1252C2×D4—3161no—
1253C2×D4—794no—
1254C2×D4—794no—
1255C2×D4—794no—
1256C2×D4—794no—
1257C2×D4—794no—
1258C2×D4—794no—
1259C2×D4—1582no—
1260C2×D4—1582no—
1261C2×D4C2×C4×D7914yes—
1262C2×D4C2×C4×D7914yes—
1263C2×D4C2×C4×D7914yes—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—3161no—
1279C22×C4—3161no—
1280C22×C4—3161no—
1281C22×C4—3161no—
1282C22×C4—3161no—
1283C22×C4—3161no—
1284C22×C4—3161no—
1285C22×C4—3161no—
1286C22×C4—3161no—
1287C22×C4—3161no—
1288C22×C4—3161no—
1289C22×C4—3161no—
1290C22×C4—3161no—
1291C22×C4—3161no—
1292C22×C4—3161no—
1293C22×C4—3161no—
1294C22×C4—3161no—
1295C22×C4—3161no—
1296C22×C4—3161no—
1297C22×C4—3161no—
1298C22×C4—3161no—
1299C22×C4—3161no—
1300C22×C4—3161no—
1301C22×C4—3161no—
1302C22×C4—794no—
1303C22×C4—794no—
1304C22×C4—794no—
1305C22×C4—794no—
1306C22×C4—791no—
1307C22×C4—791no—
1308C22×C4—791no—
1309C22×C4—791no—
1310C22×C4—791no—
1311C22×C4—794no—
1312C22×C4—791no—
1313C22×C4—791no—
1314C22×C4—791no—
1315C22×C4—791no—
1316C22×C4—791no—
1317C22×C4—791no—
1318C22×C4—791no—
1319C22×C4—791no—
1320C22×C4—1582no—
1321C22×C4—1582no—
1322C22×C4—1582no—
1323C22×C4—1582no—
1324C22×C4C2×C4×D7914yes—
1325C22×C4C23×D7911yescharacteristic
1326C22×C4C23×D7911yescharacteristic
1327C22×C4C23×D7911yescharacteristic
1328C22×C4C23×D7911yescharacteristic
1329C22×C4C23×D7911yescharacteristic
1330C22×C4C23×D7911yescharacteristic
1331C22×C4C23×D7911yescharacteristic
1332C22×C4C23×D7911yescharacteristic
1333C22×C4C23×D7911yescharacteristic
1334C22×C4C23×D7911yescharacteristic
1335C22×C4C23×D7911yescharacteristic
1336C22×C4C23×D7911yescharacteristic
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—3161no—
1342C4⋊C4—3161no—
1343C4⋊C4—3161no—
1344C4⋊C4—3161no—
1345C4⋊C4—3161no—
1346C4⋊C4—3161no—
1347C4⋊C4—3161no—
1348C4⋊C4—3161no—
1349C4⋊C4—3161no—
1350C4⋊C4—3161no—
1351C4⋊C4—3161no—
1352C4⋊C4—794no—
1353C4⋊C4—794no—
1354C4⋊C4—794no—
1355C4⋊C4—1582no—
1356C4⋊C4C2×C4×D7914yes—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—3161no—
1366C22⋊C4—3161no—
1367C22⋊C4—3161no—
1368C22⋊C4—3161no—
1369C22⋊C4—3161no—
1370C22⋊C4—3161no—
1371C22⋊C4—3161no—
1372C22⋊C4—3161no—
1373C22⋊C4—3161no—
1374C22⋊C4—3161no—
1375C22⋊C4—3161no—
1376C22⋊C4—3161no—
1377C22⋊C4—3161no—
1378C22⋊C4—3161no—
1379C22⋊C4—3161no—
1380C22⋊C4—3161no—
1381C22⋊C4—3161no—
1382C22⋊C4—3161no—
1383C22⋊C4—3161no—
1384C22⋊C4—3161no—
1385C22⋊C4—3161no—
1386C22⋊C4—3161no—
1387C22⋊C4—3161no—
1388C22⋊C4—3161no—
1389C22⋊C4—3161no—
1390C22⋊C4—794no—
1391C22⋊C4—794no—
1392C22⋊C4—794no—
1393C22⋊C4—794no—
1394C22⋊C4—794no—
1395C22⋊C4—794no—
1396C22⋊C4—794no—
1397C22⋊C4—794no—
1398C22⋊C4—794no—
1399C22⋊C4—794no—
1400C22⋊C4—1582no—
1401C22⋊C4—1582no—
1402C22⋊C4—1582no—
1403C22⋊C4—1582no—
1404C22⋊C4—1582no—
1405C22⋊C4C2×C4×D7914yes—
1406C22⋊C4C2×C4×D7914yes—
1407C42—22no—
1408C42—22no—
1409C42—41no—
1410C42—41no—
1411C42—41no—
1412C42—41no—
1413C42—3161no—
1414C42—3161no—
1415C42—3161no—
1416C42—3161no—
1417C42—3161no—
1418C42—3161no—
1419C42—3161no—
1420C42—3161no—
1421C42—3161no—
1422C42—3161no—
1423C42—794no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—3164no—
1441C23—3164no—
1442C23—3164no—
1443C23—3164no—
1444C23—3164no—
1445C23—792no—
1446C23—792no—
1447C23—792no—
1448C23—6322no—
1449C23—6322no—
1450C23—6322no—
1451C23—6322no—
1452C23—6322no—
1453C23—6322no—
1454C23—6322no—
1455C23—6322no—
1456C23—1581no—
1457C23—1581no—
1458C23—1581no—
1459C23—1581no—
1460C23—1581no—
1461C23—1581no—
1462C23—1581no—
1463C23—1581no—
1464C23—1581no—
1465C23—1581no—
1466C23—1581no—
1467C23—1581no—
1468C23—1581no—
1469C23—1581no—
1470C23—1581no—
1471C23—1581no—
1472C23—1581no—
1473C23—1581no—
1474C23—1588no—
1475C23C22×C4×D7912yes—
1476C23C22×C4×D7912yes—
1477C23C22×C4×D7912yes—
1478C23#1457920612yes—
1479C23#1457920712yes—
1480C23C24×D7911yescharacteristic
1481Q8—3164no—
1482D4—28no—
1483D4—28no—
1484D4—44no—
1485D4—3164no—
1486D4—3164no—
1487D4—3164no—
1488D4—3164no—
1489D4—3164no—
1490D4—1588no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—3164no—
1528C2×C4—3164no—
1529C2×C4—3164no—
1530C2×C4—3164no—
1531C2×C4—792no—
1532C2×C4—792no—
1533C2×C4—792no—
1534C2×C4—792no—
1535C2×C4—792no—
1536C2×C4—6322no—
1537C2×C4—6322no—
1538C2×C4—6322no—
1539C2×C4—6322no—
1540C2×C4—6322no—
1541C2×C4—6322no—
1542C2×C4—1581no—
1543C2×C4—1581no—
1544C2×C4—1581no—
1545C2×C4—1581no—
1546C2×C4—1581no—
1547C2×C4—1581no—
1548C2×C4—1581no—
1549C2×C4—1581no—
1550C2×C4—1581no—
1551C2×C4—1581no—
1552C2×C4—1581no—
1553C2×C4—1581no—
1554C2×C4—1581no—
1555C2×C4—1581no—
1556C2×C4—1581no—
1557C2×C4—1581no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1581no—
1565C2×C4—1581no—
1566C2×C4—1581no—
1567C2×C4—1581no—
1568C2×C4—1581no—
1569C2×C4—1581no—
1570C2×C4—1581no—
1571C2×C4—1581no—
1572C2×C4—1581no—
1573C2×C4—1581no—
1574C2×C4—1581no—
1575C2×C4—1581no—
1576C2×C4—1588no—
1577C2×C4C22×C4×D7912yes—
1578C2×C4C22×C4×D7912yes—
1579C2×C4C22×C4×D7912yes—
1580C2×C4C22×C4×D7912yes—
1581C2×C4#1457920612yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—3161no—
1603C22—3161no—
1604C22—3161no—
1605C22—3161no—
1606C22—3161no—
1607C22—3161no—
1608C22—3161no—
1609C22—3161no—
1610C22—3161no—
1611C22—3161no—
1612C22—3161no—
1613C22—3161no—
1614C22—6328no—
1615C22—6328no—
1616C22—1582no—
1617C22—1582no—
1618C22—1582no—
1619C22—1582no—
1620C22—1582no—
1621C22—1582no—
1622C22—1582no—
1623C22—1582no—
1624C22—1582no—
1625C22#1909903514yes—
1626C22C23×C4×D7911yescharacteristic
1627C22C2×#1457920611yescharacteristic
1628C22C2×#1457920611yescharacteristic
1629C22C2×#1457920711yescharacteristic
1630C22#1909939911yescharacteristic
1631C22#1909939911yescharacteristic
1632C22#1909939911yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—3161no—
1649C4—3161no—
1650C4—3161no—
1651C4—3161no—
1652C4—3161no—
1653C4—1582no—
1654C4—1582no—
1655C4—1582no—
1656C4—1582no—
1657C4—1582no—
1658C2—24no—
1659C2—42no—
1660C2—42no—
1661C2—3162no—
1662C2—3162no—
1663C2—3162no—
1664C2C2×#1909903511yescharacteristic
1665C2#2377659911yescharacteristic
1666C2C4×#1457920611yescharacteristic
1667C2#2377759011yescharacteristic
1668C2#2377771611yescharacteristic
1669C2#2377775211yescharacteristic
1670C2#2377795611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutatorC22×C79C24×C4
FittingC4×#121×C79C2
socle, cosocleC23×C79C25
prime radicalC2×#19099202C2
hypercenterC4×#121D79
hypocenterC79#34492
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
2. #23766562C2semidirect
3. #23766551C2semidirect
4. #23766545C2semidirect
5. #23766537C2semidirect
6. #23766508C2semidirect
7. #23766452C2semidirect
8. #23766439C2semidirect
9. #23766386C2semidirect
10. #23766377C2semidirect
11. #23766342C2semidirect
12. #23766334C2semidirect
13. #23766246C2semidirect
14. #23766243C2semidirect
15. #23766225C2semidirect
16. D4×(C2×D79)⋊C4C2semidirect
17. #23766211C2semidirect
18. #23766184C2semidirect
19. #23766163C2semidirect
20. #23766151C2semidirect
21. #23766098C2semidirect
22. #23766074C2semidirect
23. #23766063C2semidirect
24. #23766054C2semidirect
25. #23766041C2semidirect
26. #23765994C2semidirect
27. #23765987C2semidirect
28. #23765974C2semidirect
29. #23765843C2semidirect
30. C2×#19098454C2semidirect
31. C4×#121×C79C2semidirect
34. #19099202C4semidirect
44. C2×D4×Dic79C22semidirect
46. C2×C4×C22⋊D79C22semidirect
48. C2×#14579118C22semidirect
49. C2×#14579117C22semidirect
50. C22×Dic79⋊C4C22semidirect
57. #19098469C22semidirect
58. #19098468C22semidirect
59. #19098467C22semidirect
60. #19098467C22semidirect
65. #19098463C22semidirect
66. #19098463C22semidirect
67. #19098463C22semidirect
68. #19098460C22semidirect
69. #19098460C22semidirect
70. #19098458C22semidirect
71. #19098457C22semidirect
72. #19098456C22semidirect
73. #19098456C22semidirect
75. #19098455C22semidirect
81. #19098454C22semidirect
82. #19098454C22semidirect
83. #19098454C22semidirect
84. #19098454C22semidirect
85. #19098454C22semidirect
86. #19098454C22semidirect
90. #19098453C22semidirect
91. #19098453C22semidirect
95. #19098452C22semidirect
96. #19098451C22semidirect
97. #19098451C22semidirect
98. #19098451C22semidirect
99. #19098449C22semidirect
100. #19098449C22semidirect
101. #19098447C22semidirect
102. #19098447C22semidirect
103. #19098447C22semidirect
104. #19098445C22semidirect
105. #19098445C22semidirect
106. #19098444C22semidirect
107. #19098444C22semidirect
108. #19098444C22semidirect
110. #19098443C22semidirect
111. #19098443C22semidirect
112. #19098443C22semidirect
117. #19098442C22semidirect
124. #19098440C22semidirect
125. #19098440C22semidirect
128. #19098439C22semidirect
129. #19098436C22semidirect
130. #19098436C22semidirect
131. #19098436C22semidirect
132. #19098435C22semidirect
133. #19098435C22semidirect
134. #19098434C22semidirect
135. #19098434C22semidirect
136. #19098434C22semidirect
137. #19098430C22semidirect
140. #19098425C22semidirect
141. #19098424C22semidirect
142. #19098424C22semidirect
143. #19098422C22semidirect
144. #19098422C22semidirect
145. #19098421C22semidirect
146. #19098421C22semidirect
148. #19098420C22semidirect
153. C4×Dic79⋊C4C22semidirect
154. C4×Dic79⋊C4C22semidirect
155. C22⋊C4×Dic79C22semidirect
156. C22⋊C4×Dic79C22semidirect
157. C22⋊C4×Dic79C22semidirect
158. C22⋊C4×Dic79C22semidirect
160. C4×(C2×D79)⋊C4C22semidirect
161. C4×(C2×D79)⋊C4C22semidirect
162. C4×(C2×D79)⋊C4C22semidirect
163. C4×C22⋊Dic79C22semidirect
164. C4×C22⋊Dic79C22semidirect
165. #19098410C22semidirect
166. #19098410C22semidirect
167. #19098410C22semidirect
168. #19098409C22semidirect
169. #19098408C22semidirect
170. C2×C79⋊#95C22semidirect
171. C2×C79⋊#95C22semidirect
172. C2×C79⋊#95C22semidirect
175. C2×C4×D4×C79C22semidirect
176. C2×C4×D4×C79C22semidirect
177. C22×C42×C79C22semidirect
178. #390×C79C22semidirect
179. #389×C79C22semidirect
180. #388×C79C22semidirect
181. #388×C79C22semidirect
183. #386×C79C22semidirect
184. #380×C79C22semidirect
185. C4×C4⋊C4×C79C22semidirect
186. C4×C22⋊C4×C79C22semidirect
187. C4×C22⋊C4×C79C22semidirect
192. C2×#11929623C2×C4semidirect
202. C2×D4×D79C2×C4semidirect
214. #14579147C2×C4semidirect
215. #14579146C2×C4semidirect
216. #14579142C2×C4semidirect
217. #14579139C2×C4semidirect
218. #14579134C2×C4semidirect
219. #14579133C2×C4semidirect
220. #14579129C2×C4semidirect
221. #14579129C2×C4semidirect
225. C4×C22⋊D79C2×C4semidirect
226. (C22⋊D79)⋊C4C2×C4semidirect
259. C2×(C2×D79)⋊C4C2×C4semidirect
290. C22⋊C4×D79C2×C4semidirect
344. #121×C79C2×C4semidirect
864. C4×#121D79semidirect
867. C79#34492semidirect
886. C2×C4×D4C2×D79semidirect
887. C2×C4×D4C2×D79semidirect
897. C22×C42C2×D79semidirect
909. #390C2×D79semidirect
913. #389C2×D79semidirect
942. #388C2×D79semidirect
943. #388C2×D79semidirect
975. #386C2×D79semidirect
996. #380C2×D79semidirect
1003. C4×C4⋊C4C2×D79semidirect
1017. C4×C22⋊C4C2×D79semidirect
1018. C4×C22⋊C4C2×D79semidirect
1064. #121C4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190992022
#237665622
#237665512
#237665452
#237665372
#237665082
#237664522
#237664392
#237663862
#237663772
#237663422
#237663342
#237662462
#237662432
#237662252
D4×(C2×D79)⋊C42
#237662112
#237661842
#237661632
#237661512
#237660982
#237660742
#237660632
#237660542
#237660412
#237659942
#237659872
#237659742
#237658432
C2×#190984542
C4×#121×C792
#3449279