Finite Group Databasebeta

← #34453611

Subgroups — #34453611

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×#19099203C211yesmaximal, characteristic
2#23766567C211yesmaximal, characteristic, complemented
3#23766556C211yesmaximal, characteristic, complemented
4#23766549C211yesmaximal, characteristic, complemented
5#23766540C211yesmaximal, characteristic, complemented
6#23766508C211yesmaximal, characteristic, complemented
7#23766450C211yesmaximal, characteristic, complemented
8#23766439C211yesmaximal, characteristic, complemented
9#23766392C211yesmaximal, characteristic, complemented
10#23766379C211yesmaximal, characteristic, complemented
11#23766342C211yesmaximal, characteristic, complemented
12#23766335C211yesmaximal, characteristic, complemented
13#23766244C211yesmaximal, characteristic, complemented
14#23766224C211yesmaximal, characteristic, complemented
15#23766216C211yesmaximal, characteristic, complemented
16#23766208C211yesmaximal, characteristic, complemented
17#23766185C211yesmaximal, characteristic, complemented
18#23766160C211yesmaximal, characteristic, complemented
19#23766150C211yesmaximal, characteristic, complemented
20#23766097C211yesmaximal, characteristic, complemented
21#23766066C211yesmaximal, characteristic, complemented
22#23766055C211yesmaximal, characteristic, complemented
23#23766053C211yesmaximal, characteristic, complemented
24#23766041C211yesmaximal, characteristic, complemented
25#23765994C211yesmaximal, characteristic, complemented
26#23765988C211yesmaximal, characteristic, complemented
27#23765975C211yesmaximal, characteristic, complemented
28#23765906C211yesmaximal, characteristic, complemented
29#23765839C211yesmaximal, characteristic, complemented
30C2×#19098456C211yesmaximal, characteristic, complemented
31C79×#2342C211yesmaximal, characteristic, complemented
32C22×#11929624C2211yescharacteristic
33C23×C22⋊D79C2211yescharacteristic
34#19099203C4116yescomplemented
35C2×#14579147C2211yescharacteristic
36C2×#14579144C2211yescharacteristic
37C2×#14579143C2211yescharacteristic
38C2×#14579138C2211yescharacteristic
39C2×#14579135C2211yescharacteristic
40C2×#14579134C2211yescharacteristic
41C2×#14579134C2211yescharacteristic
42C2×#14579131C2211yescharacteristic
43C2×#14579130C2211yescharacteristic
44C2×#14579123C2211yescharacteristic, complemented
45C2×C4×C22⋊D79C2211yescharacteristic
46C2×C4×C22⋊D79C2211yescharacteristic, complemented
47C2×(C22⋊D79)⋊C4C2211yescharacteristic
48C2×(C22⋊D79)⋊C4C2211yescharacteristic
49C2×(C22⋊D79)⋊C4C2211yescharacteristic
50C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
51C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
52C2×#14579118C2211yescharacteristic, complemented
53C22×C4⋊Dic79C2211yescharacteristic, complemented
54C22×C22⋊Dic79C2211yescharacteristic
55C22×C22⋊Dic79C2211yescharacteristic
56C2×C22⋊C4×D79C2211yescharacteristic
57C2×C22⋊C4×D79C2211yescharacteristic
58C22×C4×Dic79C2211yescharacteristic, complemented
59#19098469C2211yescharacteristic, complemented
60#19098469C2211yescharacteristic, complemented
61#19098467C2211yescharacteristic, complemented
62#19098467C2211yescharacteristic, complemented
63#19098465C2211yescharacteristic, complemented
64#19098465C2211yescharacteristic, complemented
65#19098464C2211yescharacteristic, complemented
66#19098463C2211yescharacteristic
67#19098463C2211yescharacteristic
68#19098463C2211yescharacteristic
69#19098463C2211yescharacteristic
70#19098463C2211yescharacteristic, complemented
71#19098460C2211yescharacteristic, complemented
72#19098460C2211yescharacteristic, complemented
73#19098459C2211yescharacteristic, complemented
74#19098458C2211yescharacteristic, complemented
75#19098457C2211yescharacteristic
76#19098457C2211yescharacteristic
77#19098457C2211yescharacteristic, complemented
78#19098456C2211yescharacteristic
79#19098456C2211yescharacteristic
80#19098456C2211yescharacteristic
81#19098456C2211yescharacteristic
82#19098456C2211yescharacteristic, complemented
83#19098456C2211yescharacteristic, complemented
84#19098456C2211yescharacteristic, complemented
85#19098456C2211yescharacteristic, complemented
86#19098455C2211yescharacteristic, complemented
87#19098455C2211yescharacteristic, complemented
88#19098454C2211yescharacteristic, complemented
89#19098454C2211yescharacteristic, complemented
90#19098454C2211yescharacteristic, complemented
91#19098453C2211yescharacteristic, complemented
92#19098453C2211yescharacteristic, complemented
93#19098453C2211yescharacteristic, complemented
94#19098452C2211yescharacteristic, complemented
95#19098452C2211yescharacteristic, complemented
96#19098452C2211yescharacteristic, complemented
97#19098452C2211yescharacteristic, complemented
98#19098451C2211yescharacteristic
99#19098451C2211yescharacteristic
100#19098451C2211yescharacteristic, complemented
101#19098450C2211yescharacteristic, complemented
102#19098450C2211yescharacteristic, complemented
103#19098448C2211yescharacteristic, complemented
104#19098448C2211yescharacteristic, complemented
105#19098447C2211yescharacteristic, complemented
106#19098445C2211yescharacteristic, complemented
107#19098445C2211yescharacteristic, complemented
108#19098444C2211yescharacteristic, complemented
109#19098444C2211yescharacteristic, complemented
110#19098444C2211yescharacteristic, complemented
111#19098442C2211yescharacteristic
112#19098442C2211yescharacteristic
113#19098442C2211yescharacteristic
114#19098442C2211yescharacteristic
115#19098442C2211yescharacteristic, complemented
116#19098441C2211yescharacteristic, complemented
117#19098441C2211yescharacteristic, complemented
118#19098441C2211yescharacteristic, complemented
119#19098441C2211yescharacteristic, complemented
120#19098440C2211yescharacteristic
121#19098440C2211yescharacteristic
122#19098440C2211yescharacteristic
123#19098440C2211yescharacteristic
124#19098440C2211yescharacteristic
125#19098440C2211yescharacteristic
126#19098440C2211yescharacteristic, complemented
127#19098440C2211yescharacteristic, complemented
128#19098439C2211yescharacteristic
129#19098439C2211yescharacteristic
130#19098439C2211yescharacteristic
131#19098439C2211yescharacteristic
132#19098439C2211yescharacteristic, complemented
133#19098437C2211yescharacteristic, complemented
134#19098437C2211yescharacteristic, complemented
135#19098436C2211yescharacteristic, complemented
136#19098435C2211yescharacteristic, complemented
137#19098435C2211yescharacteristic, complemented
138#19098434C2211yescharacteristic, complemented
139#19098430C2211yescharacteristic, complemented
140#19098425C2211yescharacteristic, complemented
141#19098425C2211yescharacteristic, complemented
142#19098424C2211yescharacteristic
143#19098424C2211yescharacteristic
144#19098422C2211yescharacteristic, complemented
145#19098421C2211yescharacteristic
146#19098420C2211yescharacteristic, complemented
147#19098420C2211yescharacteristic, complemented
148#19098420C2211yescharacteristic, complemented
149#19098420C2211yescharacteristic, complemented
150#19098418C2211yescharacteristic
151#19098418C2211yescharacteristic
152#19098418C2211yescharacteristic
153C4⋊C4×Dic79C2211yescharacteristic, complemented
154C4×Dic79⋊C4C2211yescharacteristic, complemented
155C4×Dic79⋊C4C2211yescharacteristic, complemented
156C22⋊C4×Dic79C2211yescharacteristic
157C22⋊C4×Dic79C2211yescharacteristic, complemented
158C22⋊C4×Dic79C2211yescharacteristic, complemented
159C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
163C4×C22⋊Dic79C2211yescharacteristic, complemented
164#19098410C2211yescharacteristic, complemented
165#19098410C2211yescharacteristic, complemented
166#19098410C2211yescharacteristic, complemented
167#19098410C2211yescharacteristic, complemented
168#19098409C2211yescharacteristic, complemented
169#19098408C2211yescharacteristic, complemented
170C2×C79⋊#95C2211yescharacteristic, complemented
171C2×C79⋊#95C2211yescharacteristic, complemented
172#95×D79C2211yescharacteristic, complemented
173C2×#117×C79C2211yescharacteristic, complemented
174C22×C22⋊C4×C79C2211yescharacteristic
175C22×C22⋊C4×C79C2211yescharacteristic
176#388×C79C2211yescharacteristic
177#388×C79C2211yescharacteristic
178#388×C79C2211yescharacteristic
179#388×C79C2211yescharacteristic
180#385×C79C2211yescharacteristic, complemented
181#385×C79C2211yescharacteristic, complemented
182#381×C79C2211yescharacteristic, complemented
183#380×C79C2211yescharacteristic, complemented
184#379×C79C2211yescharacteristic
185C4×C22⋊C4×C79C2211yescharacteristic, complemented
186C4×C22⋊C4×C79C2211yescharacteristic, complemented
187C4×C22⋊C4×C79C2211yescharacteristic, complemented
188C24×D79C2311yescharacteristic
189C2×#11929624—42no—
190C2×#11929624—42no—
191C2×#11929624C2×C418yescomplemented
192C22×Dic158C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×C22⋊D79—42no—
196C22×C22⋊D79—42no—
197C22×C22⋊D79C2×C418yescomplemented
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C22×C22⋊D79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C23×Dic79C2311yescharacteristic
207C23×Dic79C2311yescharacteristic
208C23×Dic79C2311yescharacteristic
209C23×Dic79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217#14579147C2×C418yescomplemented
218#14579144C2×C418yescomplemented
219#14579143C2×C418yescomplemented
220#14579138C2×C418yescomplemented
221#14579135C2×C418yescomplemented
222#14579134C2×C418yescomplemented
223#14579134C2×C418yescomplemented
224#14579131C2×C418yescomplemented
225#14579130C2×C418yescomplemented
226#14579123—42no—
227C4×C22⋊D79—42no—
228C4×C22⋊D79C2×C418yescomplemented
229(C22⋊D79)⋊C4—42no—
230(C22⋊D79)⋊C4—42no—
231(C22⋊D79)⋊C4—42no—
232(C22⋊D79)⋊C4—42no—
233(C22⋊D79)⋊C4C2×C418yescomplemented
234#14579118—42no—
235C2×C4⋊Dic79—42no—
236C2×C4⋊Dic79C2311yescharacteristic
237C2×C4⋊Dic79C2311yescharacteristic
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
240C2×C4⋊Dic79C2311yescharacteristic
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
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×C22⋊Dic79—42no—
253C2×C22⋊Dic79—42no—
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)⋊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
290C22⋊C4×D79—42no—
291C22⋊C4×D79C2×C418yescomplemented
292C2×C4×Dic79—42no—
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
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
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×C418yescomplemented
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—41no—
377C23×D79—41no—
378C23×D79—41no—
379C23×D79—41no—
380C23×D79—41no—
381C23×D79—41no—
382C23×D79C22×C414yes—
383C23×D79C2411yescharacteristic
384C23×D79C2411yescharacteristic
385C23×D79C2411yescharacteristic
386#11929624—416no—
387C2×Dic158—41no—
388C2×Dic158—41no—
389C2×Dic158C22×C414yes—
390C2×D316—41no—
391C2×D316—41no—
392C2×D316—41no—
393C2×D316—41no—
394C2×D316C22×C414yes—
395C2×D316C22×C414yes—
396C2×C22⋊D79—22no—
397C2×C22⋊D79—22no—
398C2×C22⋊D79—22no—
399C2×C22⋊D79—22no—
400C2×C22⋊D79—22no—
401C2×C22⋊D79—22no—
402C2×C22⋊D79—416no—
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⋊D79—41no—
411C2×C22⋊D79C22×C414yes—
412C2×C22⋊D79C22×C414yes—
413C2×C22⋊D79C22×C414yes—
414C2×C22⋊D79C22×C414yes—
415C2×C22⋊D79C22×C414yes—
416C2×C22⋊D79C22×C414yes—
417C2×C22⋊D79C22×C414yes—
418C22×Dic79—22no—
419C22×Dic79—22no—
420C22×Dic79—22no—
421C22×Dic79—22no—
422C22×Dic79—22no—
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×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
443C22×Dic79C2411yescharacteristic
444C22×Dic79C2411yescharacteristic
445C22×Dic79C2411yescharacteristic
446C2×C4×D79—22no—
447C2×C4×D79—22no—
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×D79—41no—
460C2×C4×D79—41no—
461C2×C4×D79—41no—
462C2×C4×D79—41no—
463C2×C4×D79—41no—
464C2×C4×D79C22×C414yes—
465C2×C4×D79C22×C414yes—
466C2×C4×D79C22×C414yes—
467C4⋊Dic79—41no—
468C4⋊Dic79—41no—
469C4⋊Dic79—41no—
470C4⋊Dic79—41no—
471C4⋊Dic79C22×C414yes—
472Dic79⋊C4—22no—
473Dic79⋊C4—41no—
474Dic79⋊C4—41no—
475Dic79⋊C4—41no—
476Dic79⋊C4—41no—
477Dic79⋊C4—41no—
478Dic79⋊C4—41no—
479Dic79⋊C4—41no—
480Dic79⋊C4C22×C414yes—
481Dic79⋊C4C22×C414yes—
482Dic79⋊C4C22×C414yes—
483C22⋊Dic79—22no—
484C22⋊Dic79—22no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490C22⋊Dic79—41no—
491C22⋊Dic79C22×C414yes—
492C22⋊Dic79C22×C414yes—
493C22⋊Dic79C22×C414yes—
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)⋊C4—41no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4—41no—
512(C2×D79)⋊C4—41no—
513(C2×D79)⋊C4—41no—
514(C2×D79)⋊C4C22×C414yes—
515(C2×D79)⋊C4C22×C414yes—
516(C2×D79)⋊C4C22×C414yes—
517(C2×D79)⋊C4C22×C414yes—
518(C2×D79)⋊C4C22×C414yes—
519C4×Dic79—22no—
520C4×Dic79—22no—
521C4×Dic79—41no—
522C4×Dic79—41no—
523C4×Dic79—41no—
524C4×Dic79—41no—
525C4×Dic79—41no—
526C4×Dic79—41no—
527C4×Dic79—41no—
528C4×Dic79—41no—
529C4×Dic79—41no—
530C4×Dic79—41no—
531C4×Dic79C22×C414yes—
532C24×C79—22no—
533C24×C79—22no—
534C24×C79—41no—
535C24×C79—41no—
536C24×C79—41no—
537C24×C79—41no—
538C24×C79C22×C414yes—
539C24×C79C2411yescharacteristic
540C24×C79C2411yescharacteristic
541C24×C79C2411yescharacteristic
542C22×C4×C79—22no—
543C22×C4×C79—22no—
544C22×C4×C79—41no—
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×C79C22×C414yes—
553C22×C4×C79C22×C414yes—
554C22×C4×C79C2411yescharacteristic
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
566C4⋊C4×C79—41no—
567C4⋊C4×C79—41no—
568C4⋊C4×C79—41no—
569C4⋊C4×C79—41no—
570C22⋊C4×C79—22no—
571C22⋊C4×C79—22no—
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—
582C22⋊C4×C79C22×C414yes—
583C22⋊C4×C79C22×C414yes—
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×C79—28no—
605C23×C79—44no—
606C23×C79—44no—
607C23×C79—82no—
608C23×C79—82no—
609C23×C79—82no—
610C23×C79—82no—
611C23×C79C23×C412yes—
612C23×C79C23×C412yes—
613C23×C79C23×C412yes—
614C23×C79H(5,𝔽2)12yes—
615C23×C79H(5,𝔽2)12yes—
616C23×C79C2511yescharacteristic
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—21no—
629C22×D79—21no—
630C22×D79—21no—
631C22×D79—21no—
632C22×D79—21no—
633C22×D79—21no—
634C22×D79—21no—
635C22×D79—44no—
636C22×D79—44no—
637C22×D79—44no—
638C22×D79—82no—
639C22×D79—82no—
640C22×D79—82no—
641C22×D79—82no—
642C22×D79C23×C412yes—
643C22×D79C23×C412yes—
644C22×D79C23×C412yes—
645C2×C4×C79—28no—
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—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—44no—
679C2×C4×C79—82no—
680C2×C4×C79—82no—
681C2×C4×C79C23×C412yes—
682C2×C4×C79C23×C412yes—
683C2×C4×C79C23×C412yes—
684C2×C4×C79C23×C412yes—
685C22⋊D79—28no—
686C22⋊D79—28no—
687C22⋊D79—28no—
688C22⋊D79—44no—
689C22⋊D79—44no—
690C22⋊D79—44no—
691C22⋊D79—44no—
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—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—44no—
726C2×Dic79—44no—
727C2×Dic79—44no—
728C2×Dic79—82no—
729C2×Dic79—82no—
730C2×Dic79C23×C412yes—
731C2×Dic79C23×C412yes—
732C2×Dic79C23×C412yes—
733C2×Dic79C23×C412yes—
734C2×Dic79C23×C412yes—
735C2×Dic79H(5,𝔽2)12yes—
736D316—44no—
737D316—44no—
738C4×D79—44no—
739C4×D79—44no—
740C4×D79—44no—
741C4×D79—82no—
742C4×D79—82no—
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—88no—
767C22×C79#51814yes—
768C22×C79C24×C411yescharacteristic
769C22×C79C2×H(5,𝔽2)11yescharacteristic
770C22×C79C2×H(5,𝔽2)11yescharacteristic
771C22×C79C2×H(5,𝔽2)11yescharacteristic
772C22×C79#58511yescharacteristic
773C22×C79#58511yescharacteristic
774C22×C79#58511yescharacteristic
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—22no—
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—41no—
796C2×D79—88no—
797C4×C79—22no—
798C4×C79—22no—
799C4×C79—22no—
800C4×C79—22no—
801C4×C79—41no—
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—22no—
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#2342D7911yescharacteristic, complemented
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×#121—791no—
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×#121—791no—
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×D4—791no—
886C2×C4×D4—791no—
887C2×C4×D4—791no—
888C2×#117—791no—
889C2×#117C2×D7911yescharacteristic, complemented
890C22×C4⋊C4—791no—
891C22×C22⋊C4—791no—
892C22×C22⋊C4—791no—
893C22×C22⋊C4—791no—
894C22×C22⋊C4—791no—
895C22×C22⋊C4C2×D7911yescharacteristic
896C22×C22⋊C4C2×D7911yescharacteristic
897C22×C42—791no—
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#390—791no—
910#389—791no—
911#389—791no—
912#389—791no—
913#389—791no—
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#388C2×D7911yescharacteristic
941#388C2×D7911yescharacteristic
942#388C2×D7911yescharacteristic
943#388C2×D7911yescharacteristic
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#386—791no—
975#386—791no—
976#385—791no—
977#385—791no—
978#385—791no—
979#385—791no—
980#385—791no—
981#385—791no—
982#385C2×D7911yescharacteristic, complemented
983#385C2×D7911yescharacteristic, complemented
984#383—791no—
985#381—791no—
986#381—791no—
987#381—791no—
988#381—791no—
989#381C2×D7911yescharacteristic, complemented
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#379C2×D7911yescharacteristic
1001C4×C4⋊C4—791no—
1002C4×C4⋊C4—791no—
1003C4×C4⋊C4—791no—
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⋊C4C2×D7911yescharacteristic, complemented
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—
1025C25C22×D7911yescharacteristic
1026C2×#41—3162no—
1027C2×#41—3162no—
1028C2×#41—798no—
1029C22×Q8—791no—
1030C22×D4—3162no—
1031C22×D4—3162no—
1032C22×D4—798no—
1033C22×D4—791no—
1034C22×D4—791no—
1035C22×D4—791no—
1036C22×D4—791no—
1037C22×D4—791no—
1038C22×D4—791no—
1039C22×D4—791no—
1040C22×D4—791no—
1041C22×D4—791no—
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×C4—791no—
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#121—798no—
1065#120—798no—
1066#120—798no—
1067C4×D4—3162no—
1068C4×D4—3162no—
1069C4×D4—3162no—
1070C4×D4—3162no—
1071C4×D4—3162no—
1072C4×D4—3162no—
1073C4×D4—798no—
1074C4×D4—798no—
1075#117—42no—
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⋊C4—791no—
1094C2×C4⋊C4C22×D7911yescharacteristic
1095C2×C4⋊C4C22×D7911yescharacteristic
1096C2×C4⋊C4C22×D7911yescharacteristic
1097C2×C4⋊C4C22×D7911yescharacteristic
1098C2×C22⋊C4—42no—
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—791no—
1131C2×C22⋊C4—791no—
1132C2×C22⋊C4—791no—
1133C2×C22⋊C4—791no—
1134C2×C22⋊C4—791no—
1135C2×C22⋊C4—798no—
1136C2×C22⋊C4—791no—
1137C2×C22⋊C4—791no—
1138C2×C22⋊C4—791no—
1139C2×C22⋊C4C4×D7918yescomplemented
1140C2×C22⋊C4C22×D7911yescharacteristic
1141C2×C22⋊C4C22×D7911yescharacteristic
1142C2×C22⋊C4C22×D7911yescharacteristic
1143C2×C22⋊C4C22×D7911yescharacteristic
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—3162no—
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×C42—791no—
1167C2×C42—791no—
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#95C22×D7911yescharacteristic
1205#95C22×D7911yescharacteristic
1206#95C22×D7911yescharacteristic
1207#95C22×D7911yescharacteristic
1208#95C22×D7911yescharacteristic
1209#95C22×D7911yescharacteristic
1210#95C22×D7911yescharacteristic
1211#95C22×D7911yescharacteristic
1212C24—22no—
1213C24—22no—
1214C24—41no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—3161no—
1219C24—3161no—
1220C24—3161no—
1221C24—3161no—
1222C24—3161no—
1223C24—3161no—
1224C24—794no—
1225C24—791no—
1226C24—791no—
1227C24—791no—
1228C24C2×C4×D7914yes—
1229C24C23×D7911yescharacteristic
1230C24C23×D7911yescharacteristic
1231C24C23×D7911yescharacteristic
1232#41—31616no—
1233C2×Q8—3161no—
1234C2×Q8—3161no—
1235C2×Q8—794no—
1236C2×D4—3161no—
1237C2×D4—3161no—
1238C2×D4—3161no—
1239C2×D4—3161no—
1240C2×D4—31616no—
1241C2×D4—3161no—
1242C2×D4—3161no—
1243C2×D4—3161no—
1244C2×D4—3161no—
1245C2×D4—3161no—
1246C2×D4—3161no—
1247C2×D4—3161no—
1248C2×D4—3161no—
1249C2×D4—794no—
1250C2×D4—794no—
1251C2×D4—794no—
1252C2×D4—794no—
1253C2×D4—794no—
1254C2×D4—794no—
1255C2×D4—794no—
1256C2×D4—794no—
1257C2×D4—794no—
1258C2×D4—1582no—
1259C2×D4—1582no—
1260C2×D4—1582no—
1261C2×D4—1582no—
1262C2×D4—1582no—
1263C2×D4—1582no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—3161no—
1275C22×C4—3161no—
1276C22×C4—3161no—
1277C22×C4—3161no—
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—794no—
1300C22×C4—794no—
1301C22×C4—794no—
1302C22×C4—794no—
1303C22×C4—791no—
1304C22×C4—791no—
1305C22×C4—791no—
1306C22×C4—791no—
1307C22×C4—791no—
1308C22×C4—791no—
1309C22×C4—791no—
1310C22×C4—791no—
1311C22×C4—791no—
1312C22×C4—791no—
1313C22×C4—791no—
1314C22×C4—791no—
1315C22×C4—791no—
1316C22×C4—1582no—
1317C22×C4—1582no—
1318C22×C4—1582no—
1319C22×C4—1582no—
1320C22×C4—1582no—
1321C22×C4—1582no—
1322C22×C4—1582no—
1323C22×C4C2×C4×D7914yes—
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—794no—
1356C4⋊C4—1582no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
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—3161no—
1391C22⋊C4—3161no—
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⋊C4C2×C4×D7914yes—
1404C22⋊C4C2×C4×D7914yes—
1405C22⋊C4C2×C4×D7914yes—
1406C22⋊C4C2×C4×D7914yes—
1407C42—41no—
1408C42—41no—
1409C42—41no—
1410C42—41no—
1411C42—3161no—
1412C42—3161no—
1413C42—3161no—
1414C42—3161no—
1415C42—3161no—
1416C42—3161no—
1417C42—3161no—
1418C42—3161no—
1419C42—3161no—
1420C42—3161no—
1421C42—794no—
1422C42—1582no—
1423C42—1582no—
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—28no—
1441C23—44no—
1442C23—44no—
1443C23—82no—
1444C23—82no—
1445C23—82no—
1446C23—82no—
1447C23—3164no—
1448C23—3164no—
1449C23—3164no—
1450C23—792no—
1451C23—792no—
1452C23—792no—
1453C23—6322no—
1454C23—6322no—
1455C23—6322no—
1456C23—6322no—
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—1581no—
1475C23C22×C4×D7912yes—
1476C23C22×C4×D7912yes—
1477C23C22×C4×D7912yes—
1478C23#1457920612yes—
1479C23#1457920712yes—
1480C23C24×D7911yescharacteristic
1481Q8—3164no—
1482D4—3164no—
1483D4—3164no—
1484D4—3164no—
1485D4—3164no—
1486D4—3164no—
1487D4—3164no—
1488D4—1588no—
1489D4—1588no—
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—28no—
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—21no—
1523C2×C4—21no—
1524C2×C4—44no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—3164no—
1528C2×C4—3164no—
1529C2×C4—3164no—
1530C2×C4—3164no—
1531C2×C4—3164no—
1532C2×C4—3164no—
1533C2×C4—792no—
1534C2×C4—792no—
1535C2×C4—792no—
1536C2×C4—792no—
1537C2×C4—792no—
1538C2×C4—792no—
1539C2×C4—6322no—
1540C2×C4—6322no—
1541C2×C4—6322no—
1542C2×C4—6322no—
1543C2×C4—6322no—
1544C2×C4—6322no—
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—1581no—
1577C2×C4—1581no—
1578C2×C4C22×C4×D7912yes—
1579C2×C4C22×C4×D7912yes—
1580C2×C4C22×C4×D7912yes—
1581C2×C4C22×C4×D7912yes—
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—88no—
1603C22—3161no—
1604C22—3161no—
1605C22—3161no—
1606C22—3161no—
1607C22—3161no—
1608C22—3161no—
1609C22—3161no—
1610C22—3161no—
1611C22—3161no—
1612C22—3161no—
1613C22—3161no—
1614C22—3161no—
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
1627C22H(5,𝔽2)×D7911yescharacteristic
1628C22C2×#1457920611yescharacteristic
1629C22C2×#1457920711yescharacteristic
1630C22#1909939811yescharacteristic
1631C22#1909939911yescharacteristic
1632C22#1909939911yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—41no—
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—1582no—
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#2377660111yescharacteristic
1666C2#2377660411yescharacteristic
1667C2#2377758511yescharacteristic
1668C2#2377770911yescharacteristic
1669C2#2377775611yescharacteristic
1670C2#2377794411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutatorC22×C79C24×C4
FittingC79×#2342C2
socle, cosocleC23×C79C25
prime radicalC2×#19099203C2
hypercenter#2342D79
hypocenterC79#34492
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
2. #23766567C2semidirect
3. #23766556C2semidirect
4. #23766549C2semidirect
5. #23766540C2semidirect
6. #23766508C2semidirect
7. #23766450C2semidirect
8. #23766439C2semidirect
9. #23766392C2semidirect
10. #23766379C2semidirect
11. #23766342C2semidirect
12. #23766335C2semidirect
13. #23766244C2semidirect
14. #23766224C2semidirect
15. #23766216C2semidirect
16. #23766208C2semidirect
17. #23766185C2semidirect
18. #23766160C2semidirect
19. #23766150C2semidirect
20. #23766097C2semidirect
21. #23766066C2semidirect
22. #23766055C2semidirect
23. #23766053C2semidirect
24. #23766041C2semidirect
25. #23765994C2semidirect
26. #23765988C2semidirect
27. #23765975C2semidirect
28. #23765906C2semidirect
29. #23765839C2semidirect
30. C2×#19098456C2semidirect
31. C79×#2342C2semidirect
34. #19099203C4semidirect
44. C2×#14579123C22semidirect
46. C2×C4×C22⋊D79C22semidirect
50. C2×(C22⋊D79)⋊C4C22semidirect
51. C2×(C22⋊D79)⋊C4C22semidirect
52. C2×#14579118C22semidirect
53. C22×C4⋊Dic79C22semidirect
58. C22×C4×Dic79C22semidirect
59. #19098469C22semidirect
60. #19098469C22semidirect
61. #19098467C22semidirect
62. #19098467C22semidirect
63. #19098465C22semidirect
64. #19098465C22semidirect
65. #19098464C22semidirect
70. #19098463C22semidirect
71. #19098460C22semidirect
72. #19098460C22semidirect
73. #19098459C22semidirect
74. #19098458C22semidirect
77. #19098457C22semidirect
82. #19098456C22semidirect
83. #19098456C22semidirect
84. #19098456C22semidirect
85. #19098456C22semidirect
86. #19098455C22semidirect
87. #19098455C22semidirect
88. #19098454C22semidirect
89. #19098454C22semidirect
90. #19098454C22semidirect
91. #19098453C22semidirect
92. #19098453C22semidirect
93. #19098453C22semidirect
94. #19098452C22semidirect
95. #19098452C22semidirect
96. #19098452C22semidirect
97. #19098452C22semidirect
100. #19098451C22semidirect
101. #19098450C22semidirect
102. #19098450C22semidirect
103. #19098448C22semidirect
104. #19098448C22semidirect
105. #19098447C22semidirect
106. #19098445C22semidirect
107. #19098445C22semidirect
108. #19098444C22semidirect
109. #19098444C22semidirect
110. #19098444C22semidirect
115. #19098442C22semidirect
116. #19098441C22semidirect
117. #19098441C22semidirect
118. #19098441C22semidirect
119. #19098441C22semidirect
126. #19098440C22semidirect
127. #19098440C22semidirect
132. #19098439C22semidirect
133. #19098437C22semidirect
134. #19098437C22semidirect
135. #19098436C22semidirect
136. #19098435C22semidirect
137. #19098435C22semidirect
138. #19098434C22semidirect
139. #19098430C22semidirect
140. #19098425C22semidirect
141. #19098425C22semidirect
144. #19098422C22semidirect
146. #19098420C22semidirect
147. #19098420C22semidirect
148. #19098420C22semidirect
149. #19098420C22semidirect
153. C4⋊C4×Dic79C22semidirect
154. C4×Dic79⋊C4C22semidirect
155. C4×Dic79⋊C4C22semidirect
157. C22⋊C4×Dic79C22semidirect
158. C22⋊C4×Dic79C22semidirect
159. C4×(C2×D79)⋊C4C22semidirect
160. C4×(C2×D79)⋊C4C22semidirect
161. C4×(C2×D79)⋊C4C22semidirect
162. C4×(C2×D79)⋊C4C22semidirect
163. C4×C22⋊Dic79C22semidirect
164. #19098410C22semidirect
165. #19098410C22semidirect
166. #19098410C22semidirect
167. #19098410C22semidirect
168. #19098409C22semidirect
169. #19098408C22semidirect
170. C2×C79⋊#95C22semidirect
171. C2×C79⋊#95C22semidirect
172. #95×D79C22semidirect
173. C2×#117×C79C22semidirect
180. #385×C79C22semidirect
181. #385×C79C22semidirect
182. #381×C79C22semidirect
183. #380×C79C22semidirect
185. C4×C22⋊C4×C79C22semidirect
186. C4×C22⋊C4×C79C22semidirect
187. C4×C22⋊C4×C79C22semidirect
191. C2×#11929624C2×C4semidirect
197. C22×C22⋊D79C2×C4semidirect
217. #14579147C2×C4semidirect
218. #14579144C2×C4semidirect
219. #14579143C2×C4semidirect
220. #14579138C2×C4semidirect
221. #14579135C2×C4semidirect
222. #14579134C2×C4semidirect
223. #14579134C2×C4semidirect
224. #14579131C2×C4semidirect
225. #14579130C2×C4semidirect
228. C4×C22⋊D79C2×C4semidirect
233. (C22⋊D79)⋊C4C2×C4semidirect
291. C22⋊C4×D79C2×C4semidirect
349. C2×C22⋊C4×C79C2×C4semidirect
849. #2342D79semidirect
867. C79#34492semidirect
889. C2×#117C2×D79semidirect
982. #385C2×D79semidirect
983. #385C2×D79semidirect
989. #381C2×D79semidirect
996. #380C2×D79semidirect
1016. C4×C22⋊C4C2×D79semidirect
1017. C4×C22⋊C4C2×D79semidirect
1018. C4×C22⋊C4C2×D79semidirect
1139. C2×C22⋊C4C4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190992032
#237665672
#237665562
#237665492
#237665402
#237665082
#237664502
#237664392
#237663922
#237663792
#237663422
#237663352
#237662442
#237662242
#237662162
#237662082
#237661852
#237661602
#237661502
#237660972
#237660662
#237660552
#237660532
#237660412
#237659942
#237659882
#237659752
#237659062
#237658392
C2×#190984562
C79×#23422
#3449279