Finite Group Databasebeta

← #34453620

Subgroups — #34453620

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#23766565C211yesmaximal, characteristic, complemented
3#23766558C211yesmaximal, characteristic, complemented
4#23766550C211yesmaximal, characteristic, complemented
5#23766538C211yesmaximal, characteristic, complemented
6#23766508C211yesmaximal, characteristic, complemented
7#23766451C211yesmaximal, characteristic, complemented
8#23766442C211yesmaximal, characteristic, complemented
9#23766385C211yesmaximal, characteristic, complemented
10#23766380C211yesmaximal, characteristic, complemented
11#23766337C211yesmaximal, characteristic, complemented
12#23766334C211yesmaximal, characteristic, complemented
13#23766243C211yesmaximal, characteristic, complemented
14#23766242C211yesmaximal, characteristic, complemented
15#23766226C211yesmaximal, characteristic, complemented
16#23766221C211yesmaximal, characteristic, complemented
17#23766211C211yesmaximal, characteristic, complemented
18#23766191C211yesmaximal, characteristic, complemented
19#23766154C211yesmaximal, characteristic, complemented
20#23766101C211yesmaximal, characteristic, complemented
21#23766073C211yesmaximal, characteristic, complemented
22#23766059C211yesmaximal, characteristic, complemented
23#23766056C211yesmaximal, characteristic, complemented
24#23766041C211yesmaximal, characteristic, complemented
25#23765995C211yesmaximal, characteristic, complemented
26#23765990C211yesmaximal, characteristic, complemented
27#23765974C211yesmaximal, characteristic, complemented
28#23765912C211yesmaximal, characteristic, complemented
29#23765846C211yesmaximal, characteristic, complemented
30#388×D79C211yesmaximal, characteristic, complemented
31C79×#2333C211yesmaximal, 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×C4×D316C2211yescharacteristic
44C2×D4×Dic79C2211yescharacteristic, complemented
45C2×#14579123C2211yescharacteristic
46C2×C4×C22⋊D79C2211yescharacteristic
47C2×C4×C22⋊D79C2211yescharacteristic, complemented
48C2×(C22⋊D79)⋊C4C2211yescharacteristic
49C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
50C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
51C2×#14579120C2211yescharacteristic, complemented
52C2×#14579118C2211yescharacteristic, complemented
53C2×C4⋊C4×D79C2211yescharacteristic, complemented
54C22×(C2×D79)⋊C4C2211yescharacteristic
55C22×(C2×D79)⋊C4C2211yescharacteristic
56C2×C22⋊C4×D79C2211yescharacteristic
57C2×C22⋊C4×D79C2211yescharacteristic
58C2×C22⋊C4×D79C2211yescharacteristic
59C2×C22⋊C4×D79C2211yescharacteristic
60C2×C42×D79C2211yescharacteristic, complemented
61#19098469C2211yescharacteristic, complemented
62#19098468C2211yescharacteristic, complemented
63#19098467C2211yescharacteristic, complemented
64#19098467C2211yescharacteristic, complemented
65#19098466C2211yescharacteristic
66#19098466C2211yescharacteristic, complemented
67#19098466C2211yescharacteristic, complemented
68#19098463C2211yescharacteristic
69#19098463C2211yescharacteristic
70#19098463C2211yescharacteristic, complemented
71#19098462C2211yescharacteristic, complemented
72#19098460C2211yescharacteristic, complemented
73#19098458C2211yescharacteristic, complemented
74#19098458C2211yescharacteristic, complemented
75#19098457C2211yescharacteristic, complemented
76#19098457C2211yescharacteristic, complemented
77#19098457C2211yescharacteristic, complemented
78#19098457C2211yescharacteristic, complemented
79#19098457C2211yescharacteristic, complemented
80#19098456C2211yescharacteristic, complemented
81#19098456C2211yescharacteristic, complemented
82#19098455C2211yescharacteristic
83#19098455C2211yescharacteristic
84#19098455C2211yescharacteristic
85#19098455C2211yescharacteristic, complemented
86#19098454C2211yescharacteristic
87#19098454C2211yescharacteristic
88#19098454C2211yescharacteristic
89#19098454C2211yescharacteristic, complemented
90#19098454C2211yescharacteristic, complemented
91#19098453C2211yescharacteristic
92#19098452C2211yescharacteristic
93#19098452C2211yescharacteristic
94#19098452C2211yescharacteristic
95#19098452C2211yescharacteristic
96#19098452C2211yescharacteristic
97#19098452C2211yescharacteristic, complemented
98#19098452C2211yescharacteristic, complemented
99#19098452C2211yescharacteristic, complemented
100#19098451C2211yescharacteristic, complemented
101#19098451C2211yescharacteristic, complemented
102#19098451C2211yescharacteristic, complemented
103#19098450C2211yescharacteristic, complemented
104#19098450C2211yescharacteristic, complemented
105#19098450C2211yescharacteristic, complemented
106#19098447C2211yescharacteristic, complemented
107#19098447C2211yescharacteristic, complemented
108#19098445C2211yescharacteristic, complemented
109#19098445C2211yescharacteristic, complemented
110#19098445C2211yescharacteristic, complemented
111#19098443C2211yescharacteristic
112#19098443C2211yescharacteristic, complemented
113#19098442C2211yescharacteristic
114#19098442C2211yescharacteristic
115#19098442C2211yescharacteristic, complemented
116#19098441C2211yescharacteristic
117#19098441C2211yescharacteristic
118#19098440C2211yescharacteristic
119#19098440C2211yescharacteristic
120#19098439C2211yescharacteristic
121#19098439C2211yescharacteristic
122#19098439C2211yescharacteristic
123#19098439C2211yescharacteristic
124#19098439C2211yescharacteristic
125#19098439C2211yescharacteristic
126#19098439C2211yescharacteristic, complemented
127#19098439C2211yescharacteristic, complemented
128#19098439C2211yescharacteristic, complemented
129#19098437C2211yescharacteristic, complemented
130#19098437C2211yescharacteristic, complemented
131#19098437C2211yescharacteristic, complemented
132#19098437C2211yescharacteristic, complemented
133#19098436C2211yescharacteristic, complemented
134#19098435C2211yescharacteristic, complemented
135#19098435C2211yescharacteristic, complemented
136#19098434C2211yescharacteristic, complemented
137#19098430C2211yescharacteristic, complemented
138#19098425C2211yescharacteristic
139#19098425C2211yescharacteristic
140#19098425C2211yescharacteristic, complemented
141#19098424C2211yescharacteristic, complemented
142#19098422C2211yescharacteristic, complemented
143#19098421C2211yescharacteristic, complemented
144#19098421C2211yescharacteristic, complemented
145#19098421C2211yescharacteristic, complemented
146#19098421C2211yescharacteristic, complemented
147#19098421C2211yescharacteristic, complemented
148#19098420C2211yescharacteristic
149#19098418C2211yescharacteristic
150#19098418C2211yescharacteristic
151#19098418C2211yescharacteristic
152#19098418C2211yescharacteristic
153C4⋊C4×Dic79C2211yescharacteristic, complemented
154C4×Dic79⋊C4C2211yescharacteristic, complemented
155#19098414C2211yescharacteristic, 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×C22⋊Dic79C2211yescharacteristic, 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
171#95×D79C2211yescharacteristic, complemented
172#95×D79C2211yescharacteristic, complemented
173C2×#121×C79C2211yescharacteristic
174#390×C79C2211yescharacteristic
175#390×C79C2211yescharacteristic, complemented
176#388×C79C2211yescharacteristic, complemented
177#388×C79C2211yescharacteristic, complemented
178#387×C79C2211yescharacteristic, complemented
179#387×C79C2211yescharacteristic, complemented
180#386×C79C2211yescharacteristic
181#386×C79C2211yescharacteristic, complemented
182#386×C79C2211yescharacteristic, complemented
183#386×C79C2211yescharacteristic, complemented
184#381×C79C2211yescharacteristic, complemented
185C4×C22⋊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
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216#14579147C2×C418yescomplemented
217#14579146C2×C418yescomplemented
218#14579142C2×C418yescomplemented
219#14579139C2×C418yescomplemented
220#14579134C2×C418yescomplemented
221#14579133C2×C418yescomplemented
222#14579129C2×C418yescomplemented
223#14579129C2×C418yescomplemented
224C4×D316—42no—
225D4×Dic79—42no—
226#14579123—42no—
227C4×C22⋊D79—42no—
228C4×C22⋊D79C2×C418yescomplemented
229(C22⋊D79)⋊C4—42no—
230(C22⋊D79)⋊C4—42no—
231(C22⋊D79)⋊C4C2×C418yescomplemented
232#14579120—42no—
233#14579118—42no—
234C2×C4⋊Dic79C2311yescharacteristic
235C2×C4⋊Dic79C2311yescharacteristic
236C2×C4⋊Dic79C2311yescharacteristic
237C2×C4⋊Dic79C2311yescharacteristic
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
250C2×Dic79⋊C4C2311yescharacteristic
251C4⋊C4×D79—42no—
252C2×C22⋊Dic79C2311yescharacteristic
253C2×C22⋊Dic79C2311yescharacteristic
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×C22⋊Dic79C2311yescharacteristic
265C2×(C2×D79)⋊C4—42no—
266C2×(C2×D79)⋊C4C2×C418yescomplemented
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
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C22⋊C4×D79—42no—
293C22⋊C4×D79—42no—
294C22⋊C4×D79—42no—
295C22⋊C4×D79C2×C418yescomplemented
296C2×C4×Dic79C2311yescharacteristic
297C2×C4×Dic79C2311yescharacteristic
298C2×C4×Dic79C2311yescharacteristic
299C2×C4×Dic79C2311yescharacteristic
300C2×C4×Dic79C2311yescharacteristic
301C2×C4×Dic79C2311yescharacteristic
302C2×C4×Dic79C2311yescharacteristic
303C2×C4×Dic79C2311yescharacteristic
304C2×C4×Dic79C2311yescharacteristic
305C2×C4×Dic79C2311yescharacteristic
306C2×C4×Dic79C2311yescharacteristic
307C2×C4×Dic79C2311yescharacteristic
308C2×C4×Dic79C2311yescharacteristic
309C42×D79—42no—
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
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C22×D4×C79C2311yescharacteristic
341C22×D4×C79C2311yescharacteristic
342C22×D4×C79C2311yescharacteristic
343C23×C4×C79C2311yescharacteristic
344C23×C4×C79C2311yescharacteristic
345C23×C4×C79C2311yescharacteristic
346#121×C79C2×C418yescomplemented
347C2×C4⋊C4×C79C2311yescharacteristic
348C2×C4⋊C4×C79C2311yescharacteristic
349C2×C4⋊C4×C79C2311yescharacteristic
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×C42×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—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—22no—
398C2×D316—22no—
399C2×D316C22×C414yes—
400C2×C22⋊D79—22no—
401C2×C22⋊D79—22no—
402C2×C22⋊D79—22no—
403C2×C22⋊D79—22no—
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—41no—
418C22×Dic79—41no—
419C22×Dic79—41no—
420C22×Dic79—41no—
421C22×Dic79—41no—
422C22×Dic79—41no—
423C22×Dic79—41no—
424C22×Dic79—41no—
425C22×Dic79—41no—
426C22×Dic79C22×C414yes—
427C22×Dic79C22×C414yes—
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C2×C4×D79—22no—
442C2×C4×D79—22no—
443C2×C4×D79—22no—
444C2×C4×D79—22no—
445C2×C4×D79—22no—
446C2×C4×D79—22no—
447C2×C4×D79—22no—
448C2×C4×D79—22no—
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×D79—41no—
465C2×C4×D79C22×C414yes—
466C2×C4×D79C22×C414yes—
467C2×C4×D79C22×C414yes—
468C4⋊Dic79—22no—
469C4⋊Dic79—41no—
470C4⋊Dic79—41no—
471C4⋊Dic79—41no—
472Dic79⋊C4—41no—
473Dic79⋊C4—41no—
474Dic79⋊C4—41no—
475Dic79⋊C4—41no—
476Dic79⋊C4—41no—
477Dic79⋊C4—41no—
478Dic79⋊C4—41no—
479Dic79⋊C4—41no—
480Dic79⋊C4—41no—
481Dic79⋊C4—41no—
482Dic79⋊C4C22×C414yes—
483Dic79⋊C4C22×C414yes—
484Dic79⋊C4C22×C414yes—
485C22⋊Dic79—22no—
486C22⋊Dic79—22no—
487C22⋊Dic79—41no—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490C22⋊Dic79—41no—
491C22⋊Dic79—41no—
492C22⋊Dic79—41no—
493C22⋊Dic79—41no—
494C22⋊Dic79—41no—
495C22⋊Dic79C22×C414yes—
496C22⋊Dic79C22×C414yes—
497C22⋊Dic79C22×C414yes—
498(C2×D79)⋊C4—22no—
499(C2×D79)⋊C4—22no—
500(C2×D79)⋊C4—22no—
501(C2×D79)⋊C4—22no—
502(C2×D79)⋊C4—22no—
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)⋊C4—41no—
515(C2×D79)⋊C4—41no—
516(C2×D79)⋊C4C22×C414yes—
517(C2×D79)⋊C4C22×C414yes—
518(C2×D79)⋊C4C22×C414yes—
519(C2×D79)⋊C4C22×C414yes—
520(C2×D79)⋊C4C22×C414yes—
521(C2×D79)⋊C4C22×C414yes—
522(C2×D79)⋊C4C22×C414yes—
523C4×Dic79—22no—
524C4×Dic79—22no—
525C4×Dic79—41no—
526C4×Dic79—41no—
527C4×Dic79—41no—
528C4×Dic79—41no—
529C4×Dic79—41no—
530C4×Dic79—41no—
531C4×Dic79—41no—
532C4×Dic79—41no—
533C4×Dic79—41no—
534C4×Dic79—41no—
535C4×Dic79C22×C414yes—
536C24×C79C2411yescharacteristic
537C24×C79C2411yescharacteristic
538C24×C79C2411yescharacteristic
539C2×D4×C79—41no—
540C2×D4×C79—41no—
541C2×D4×C79—41no—
542C2×D4×C79—41no—
543C2×D4×C79—41no—
544C2×D4×C79—41no—
545C2×D4×C79C22×C414yes—
546C2×D4×C79C22×C414yes—
547C2×D4×C79C22×C414yes—
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×C79—41no—
555C22×C4×C79—41no—
556C22×C4×C79C22×C414yes—
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
567C22×C4×C79C2411yescharacteristic
568C22×C4×C79C2411yescharacteristic
569C4⋊C4×C79—41no—
570C4⋊C4×C79—41no—
571C4⋊C4×C79C22×C414yes—
572C22⋊C4×C79—41no—
573C22⋊C4×C79—41no—
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×C79—41no—
581C22⋊C4×C79—41no—
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—21no—
605C23×C79—21no—
606C23×C79C23×C412yes—
607C23×C79C23×C412yes—
608C23×C79C23×C412yes—
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—28no—
627C22×D79—44no—
628C22×D79—44no—
629C22×D79—44no—
630C22×D79—44no—
631C22×D79—44no—
632C22×D79—82no—
633C22×D79—82no—
634C22×D79—82no—
635C22×D79—82no—
636C22×D79—82no—
637C22×D79—82no—
638C22×D79—82no—
639C22×D79—82no—
640C22×D79C23×C412yes—
641C22×D79C23×C412yes—
642C22×D79C23×C412yes—
643C22×D79H(5,𝔽2)12yes—
644C22×D79H(5,𝔽2)12yes—
645D4×C79—44no—
646D4×C79—44no—
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—21no—
680C2×C4×C79—44no—
681C2×C4×C79—82no—
682C2×C4×C79—82no—
683C2×C4×C79C23×C412yes—
684C2×C4×C79C23×C412yes—
685C2×C4×C79C23×C412yes—
686C2×C4×C79C23×C412yes—
687C22⋊D79—28no—
688C22⋊D79—28no—
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—82no—
728C2×Dic79—82no—
729C2×Dic79C23×C412yes—
730C2×Dic79C23×C412yes—
731C2×Dic79C23×C412yes—
732C2×Dic79C23×C412yes—
733C2×Dic79C23×C412yes—
734C2×Dic79H(5,𝔽2)12yes—
735D316—28no—
736C4×D79—28no—
737C4×D79—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—41no—
756C22×C79—41no—
757C22×C79—41no—
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—41no—
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—22no—
784C2×D79—22no—
785C2×D79—22no—
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—88no—
795C2×D79—88no—
796C2×D79#51814yes—
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—42no—
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—24no—
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#2333D7911yescharacteristic, complemented
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×#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×D4—791no—
886C2×C4×D4—791no—
887C2×C4×D4—791no—
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×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#390C2×D7911yescharacteristic
909#390C2×D7911yescharacteristic, complemented
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#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#387C2×D7911yescharacteristic, complemented
953#387C2×D7911yescharacteristic, complemented
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#386C2×D7911yescharacteristic
973#386C2×D7911yescharacteristic, complemented
974#386C2×D7911yescharacteristic, complemented
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#381C2×D7911yescharacteristic, complemented
990#380—791no—
991#380—791no—
992#380—791no—
993#380—791no—
994#380—791no—
995#380—791no—
996#380—791no—
997#379—791no—
998#379—791no—
999#379—791no—
1000#379—791no—
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—
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—798no—
1036C22×D4—791no—
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×C4—791no—
1054C23×C4—791no—
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—3162no—
1068C4×D4—3162no—
1069C4×D4—3162no—
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⋊C4—791no—
1094C2×C4⋊C4—791no—
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—798no—
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—798no—
1135C2×C22⋊C4—791no—
1136C2×C22⋊C4—791no—
1137C2×C22⋊C4—791no—
1138C2×C22⋊C4—791no—
1139C2×C22⋊C4—791no—
1140C2×C22⋊C4—791no—
1141C2×C22⋊C4—791no—
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#95C22×D7911yescharacteristic
1203#95C22×D7911yescharacteristic
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—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—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—31616no—
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—1582no—
1256C2×D4—1582no—
1257C2×D4—1582no—
1258C2×D4—1582no—
1259C2×D4—1582no—
1260C2×D4—1582no—
1261C2×D4C2×C4×D7914yes—
1262C2×D4C2×C4×D7914yes—
1263C2×D4C2×C4×D7914yes—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—3161no—
1273C22×C4—3161no—
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—794no—
1298C22×C4—794no—
1299C22×C4—794no—
1300C22×C4—794no—
1301C22×C4—791no—
1302C22×C4—791no—
1303C22×C4—791no—
1304C22×C4—791no—
1305C22×C4—791no—
1306C22×C4—791no—
1307C22×C4—794no—
1308C22×C4—791no—
1309C22×C4—791no—
1310C22×C4—791no—
1311C22×C4—791no—
1312C22×C4—791no—
1313C22×C4—791no—
1314C22×C4—791no—
1315C22×C4—1582no—
1316C22×C4—1582no—
1317C22×C4—1582no—
1318C22×C4—1582no—
1319C22×C4—1582no—
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—3161no—
1340C4⋊C4—3161no—
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—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
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—794no—
1389C22⋊C4—794no—
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—1582no—
1399C22⋊C4—1582no—
1400C22⋊C4—1582no—
1401C22⋊C4—1582no—
1402C22⋊C4—1582no—
1403C22⋊C4—1582no—
1404C22⋊C4—1582no—
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—21no—
1441C23—21no—
1442C23—3164no—
1443C23—3164no—
1444C23—3164no—
1445C23—3164no—
1446C23—3164no—
1447C23—792no—
1448C23—792no—
1449C23—792no—
1450C23—792no—
1451C23—792no—
1452C23—6322no—
1453C23—6322no—
1454C23—6322no—
1455C23—6322no—
1456C23—6322no—
1457C23—6322no—
1458C23—6322no—
1459C23—6322no—
1460C23—1588no—
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—
1475C23—1581no—
1476C23—1581no—
1477C23C22×C4×D7912yes—
1478C23C22×C4×D7912yes—
1479C23C22×C4×D7912yes—
1480C23C24×D7911yescharacteristic
1481Q8—3164no—
1482D4—44no—
1483D4—44no—
1484D4—44no—
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—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—21no—
1523C2×C4—44no—
1524C2×C4—82no—
1525C2×C4—82no—
1526C2×C4—3164no—
1527C2×C4—3164no—
1528C2×C4—3164no—
1529C2×C4—3164no—
1530C2×C4—3164no—
1531C2×C4—3164no—
1532C2×C4—792no—
1533C2×C4—792no—
1534C2×C4—792no—
1535C2×C4—792no—
1536C2×C4—792no—
1537C2×C4—792no—
1538C2×C4—6322no—
1539C2×C4—6322no—
1540C2×C4—6322no—
1541C2×C4—6322no—
1542C2×C4—6322no—
1543C2×C4—6322no—
1544C2×C4—1588no—
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—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—3161no—
1604C22—3161no—
1605C22—3161no—
1606C22—3161no—
1607C22—3161no—
1608C22—3161no—
1609C22—3161no—
1610C22—3161no—
1611C22—794no—
1612C22—6328no—
1613C22—6328no—
1614C22—1582no—
1615C22—1582no—
1616C22—1582no—
1617C22—1582no—
1618C22—1582no—
1619C22—1582no—
1620C22—1582no—
1621C22—1582no—
1622C22—1582no—
1623C22—1582no—
1624C22—1582no—
1625C22—1582no—
1626C22C23×C4×D7911yescharacteristic
1627C22H(5,𝔽2)×D7911yescharacteristic
1628C22H(5,𝔽2)×D7911yescharacteristic
1629C22H(5,𝔽2)×D7911yescharacteristic
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—42no—
1659C2—42no—
1660C2—42no—
1661C2—3162no—
1662C2—3162no—
1663C2—1584no—
1664C2#518×D7911yescharacteristic
1665C2#2377659911yescharacteristic
1666C2#2377660411yescharacteristic
1667C2#2377758311yescharacteristic
1668C2#2377770711yescharacteristic
1669C2#2377775111yescharacteristic
1670C2#2377794511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutatorC22×C79C24×C4
FittingC79×#2333C2
socle, cosocleC23×C79C25
prime radicalC2×#19099202C2
hypercenter#2333D79
hypocenterC79#34492
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2333

Complements

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

NH ≅ G/Ntype
2. #23766565C2semidirect
3. #23766558C2semidirect
4. #23766550C2semidirect
5. #23766538C2semidirect
6. #23766508C2semidirect
7. #23766451C2semidirect
8. #23766442C2semidirect
9. #23766385C2semidirect
10. #23766380C2semidirect
11. #23766337C2semidirect
12. #23766334C2semidirect
13. #23766243C2semidirect
14. #23766242C2semidirect
15. #23766226C2semidirect
16. #23766221C2semidirect
17. #23766211C2semidirect
18. #23766191C2semidirect
19. #23766154C2semidirect
20. #23766101C2semidirect
21. #23766073C2semidirect
22. #23766059C2semidirect
23. #23766056C2semidirect
24. #23766041C2semidirect
25. #23765995C2semidirect
26. #23765990C2semidirect
27. #23765974C2semidirect
28. #23765912C2semidirect
29. #23765846C2semidirect
30. #388×D79C2semidirect
31. C79×#2333C2semidirect
34. #19099202C4semidirect
44. C2×D4×Dic79C22semidirect
47. C2×C4×C22⋊D79C22semidirect
49. C2×(C22⋊D79)⋊C4C22semidirect
50. C2×(C22⋊D79)⋊C4C22semidirect
51. C2×#14579120C22semidirect
52. C2×#14579118C22semidirect
53. C2×C4⋊C4×D79C22semidirect
60. C2×C42×D79C22semidirect
61. #19098469C22semidirect
62. #19098468C22semidirect
63. #19098467C22semidirect
64. #19098467C22semidirect
66. #19098466C22semidirect
67. #19098466C22semidirect
70. #19098463C22semidirect
71. #19098462C22semidirect
72. #19098460C22semidirect
73. #19098458C22semidirect
74. #19098458C22semidirect
75. #19098457C22semidirect
76. #19098457C22semidirect
77. #19098457C22semidirect
78. #19098457C22semidirect
79. #19098457C22semidirect
80. #19098456C22semidirect
81. #19098456C22semidirect
85. #19098455C22semidirect
89. #19098454C22semidirect
90. #19098454C22semidirect
97. #19098452C22semidirect
98. #19098452C22semidirect
99. #19098452C22semidirect
100. #19098451C22semidirect
101. #19098451C22semidirect
102. #19098451C22semidirect
103. #19098450C22semidirect
104. #19098450C22semidirect
105. #19098450C22semidirect
106. #19098447C22semidirect
107. #19098447C22semidirect
108. #19098445C22semidirect
109. #19098445C22semidirect
110. #19098445C22semidirect
112. #19098443C22semidirect
115. #19098442C22semidirect
126. #19098439C22semidirect
127. #19098439C22semidirect
128. #19098439C22semidirect
129. #19098437C22semidirect
130. #19098437C22semidirect
131. #19098437C22semidirect
132. #19098437C22semidirect
133. #19098436C22semidirect
134. #19098435C22semidirect
135. #19098435C22semidirect
136. #19098434C22semidirect
137. #19098430C22semidirect
140. #19098425C22semidirect
141. #19098424C22semidirect
142. #19098422C22semidirect
143. #19098421C22semidirect
144. #19098421C22semidirect
145. #19098421C22semidirect
146. #19098421C22semidirect
147. #19098421C22semidirect
153. C4⋊C4×Dic79C22semidirect
154. C4×Dic79⋊C4C22semidirect
155. #19098414C22semidirect
156. C22⋊C4×Dic79C22semidirect
157. C22⋊C4×Dic79C22semidirect
158. C22⋊C4×Dic79C22semidirect
160. C4×(C2×D79)⋊C4C22semidirect
161. C4×(C2×D79)⋊C4C22semidirect
162. C4×C22⋊Dic79C22semidirect
163. C4×C22⋊Dic79C22semidirect
164. #19098410C22semidirect
165. #19098410C22semidirect
166. #19098410C22semidirect
167. #19098410C22semidirect
168. #19098409C22semidirect
169. #19098408C22semidirect
170. C2×C79⋊#95C22semidirect
171. #95×D79C22semidirect
172. #95×D79C22semidirect
175. #390×C79C22semidirect
176. #388×C79C22semidirect
177. #388×C79C22semidirect
178. #387×C79C22semidirect
179. #387×C79C22semidirect
181. #386×C79C22semidirect
182. #386×C79C22semidirect
183. #386×C79C22semidirect
184. #381×C79C22semidirect
185. C4×C22⋊C4×C79C22semidirect
186. C4×C22⋊C4×C79C22semidirect
187. C4×C22⋊C4×C79C22semidirect
192. C2×#11929623C2×C4semidirect
202. C2×D4×D79C2×C4semidirect
216. #14579147C2×C4semidirect
217. #14579146C2×C4semidirect
218. #14579142C2×C4semidirect
219. #14579139C2×C4semidirect
220. #14579134C2×C4semidirect
221. #14579133C2×C4semidirect
222. #14579129C2×C4semidirect
223. #14579129C2×C4semidirect
228. C4×C22⋊D79C2×C4semidirect
231. (C22⋊D79)⋊C4C2×C4semidirect
266. C2×(C2×D79)⋊C4C2×C4semidirect
295. C22⋊C4×D79C2×C4semidirect
346. #121×C79C2×C4semidirect
854. #2333D79semidirect
867. C79#34492semidirect
909. #390C2×D79semidirect
942. #388C2×D79semidirect
943. #388C2×D79semidirect
952. #387C2×D79semidirect
953. #387C2×D79semidirect
973. #386C2×D79semidirect
974. #386C2×D79semidirect
975. #386C2×D79semidirect
989. #381C2×D79semidirect
1016. C4×C22⋊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
#237665652
#237665582
#237665502
#237665382
#237665082
#237664512
#237664422
#237663852
#237663802
#237663372
#237663342
#237662432
#237662422
#237662262
#237662212
#237662112
#237661912
#237661542
#237661012
#237660732
#237660592
#237660562
#237660412
#237659952
#237659902
#237659742
#237659122
#237658462
#388×D792
C79×#23332
#3449279