Finite Group Databasebeta

← #34453616

Subgroups — #34453616

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×#19099204C211yesmaximal, characteristic
2#23766566C211yesmaximal, characteristic, complemented
3#23766555C211yesmaximal, characteristic, complemented
4#23766547C211yesmaximal, characteristic, complemented
5#23766540C211yesmaximal, characteristic, complemented
6#23766511C211yesmaximal, characteristic, complemented
7#23766446C211yesmaximal, characteristic, complemented
8#23766440C211yesmaximal, characteristic, complemented
9#23766397C211yesmaximal, characteristic, complemented
10#23766378C211yesmaximal, characteristic, complemented
11#23766343C211yesmaximal, characteristic, complemented
12#23766339C211yesmaximal, characteristic, complemented
13#23766248C211yesmaximal, characteristic, complemented
14#23766244C211yesmaximal, characteristic, complemented
15#23766229C211yesmaximal, characteristic, complemented
16C22⋊C4×D316C211yesmaximal, characteristic, complemented
17#23766212C211yesmaximal, characteristic, complemented
18#23766184C211yesmaximal, characteristic, complemented
19#23766164C211yesmaximal, characteristic, complemented
20#23766099C211yesmaximal, characteristic, complemented
21#23766073C211yesmaximal, characteristic, complemented
22#23766062C211yesmaximal, characteristic, complemented
23#23766053C211yesmaximal, characteristic, complemented
24#23766040C211yesmaximal, characteristic, complemented
25#23765994C211yesmaximal, characteristic, complemented
26#23765991C211yesmaximal, characteristic, complemented
27#23765977C211yesmaximal, characteristic, complemented
28C4×#14579136C211yesmaximal, characteristic, complemented
29#23765838C211yesmaximal, characteristic, complemented
30#388×D79C211yesmaximal, characteristic, complemented
31C79×#2332C211yesmaximal, characteristic, complemented
32C22×#11929625C2211yescharacteristic
33C23×D316C2211yescharacteristic
34#19099204C4116yescomplemented
35C2×#14579150C2211yescharacteristic
36C2×#14579146C2211yescharacteristic
37C2×#14579146C2211yescharacteristic
38C2×#14579136C2211yescharacteristic
39C2×#14579136C2211yescharacteristic
40C2×#14579136C2211yescharacteristic
41C2×#14579131C2211yescharacteristic
42C2×#14579131C2211yescharacteristic
43C2×C4×D316C2211yescharacteristic
44C2×C4×D316C2211yescharacteristic
45C2×C4×D316C2211yescharacteristic, complemented
46C2×C4×D316C2211yescharacteristic, complemented
47C2×#14579123C2211yescharacteristic
48C2×#14579123C2211yescharacteristic, complemented
49C2×#14579123C2211yescharacteristic, complemented
50C2×C4×C22⋊D79C2211yescharacteristic
51C2×#14579119C2211yescharacteristic, complemented
52C2×#14579118C2211yescharacteristic, complemented
53C2×C4⋊C4×D79C2211yescharacteristic, complemented
54C2×C22⋊C4×D79C2211yescharacteristic
55C2×C22⋊C4×D79C2211yescharacteristic
56C2×C22⋊C4×D79C2211yescharacteristic
57C2×C22⋊C4×D79C2211yescharacteristic
58C2×C22⋊C4×D79C2211yescharacteristic
59C2×C22⋊C4×D79C2211yescharacteristic
60C2×C42×D79C2211yescharacteristic, complemented
61#19098470C2211yescharacteristic, complemented
62#19098470C2211yescharacteristic, complemented
63#19098465C2211yescharacteristic
64#19098465C2211yescharacteristic
65#19098465C2211yescharacteristic, complemented
66#19098465C2211yescharacteristic, complemented
67#19098464C2211yescharacteristic, complemented
68#19098464C2211yescharacteristic, complemented
69#19098463C2211yescharacteristic
70#19098463C2211yescharacteristic
71#19098462C2211yescharacteristic, complemented
72#19098462C2211yescharacteristic, complemented
73#19098460C2211yescharacteristic, complemented
74#19098460C2211yescharacteristic, complemented
75#19098457C2211yescharacteristic
76#19098457C2211yescharacteristic
77#19098456C2211yescharacteristic
78#19098456C2211yescharacteristic
79#19098456C2211yescharacteristic
80#19098456C2211yescharacteristic
81#19098455C2211yescharacteristic, complemented
82#19098455C2211yescharacteristic, complemented
83#19098455C2211yescharacteristic, complemented
84#19098455C2211yescharacteristic, complemented
85#19098455C2211yescharacteristic, complemented
86#19098455C2211yescharacteristic, complemented
87#19098454C2211yescharacteristic, complemented
88#19098454C2211yescharacteristic, complemented
89#19098454C2211yescharacteristic, complemented
90#19098454C2211yescharacteristic, complemented
91#19098453C2211yescharacteristic, complemented
92#19098453C2211yescharacteristic, complemented
93#19098453C2211yescharacteristic, complemented
94#19098453C2211yescharacteristic, complemented
95#19098452C2211yescharacteristic, complemented
96#19098452C2211yescharacteristic, complemented
97#19098452C2211yescharacteristic, complemented
98#19098452C2211yescharacteristic, complemented
99#19098451C2211yescharacteristic
100#19098451C2211yescharacteristic
101#19098449C2211yescharacteristic, complemented
102#19098449C2211yescharacteristic, complemented
103#19098449C2211yescharacteristic, complemented
104#19098449C2211yescharacteristic, complemented
105#19098447C2211yescharacteristic, complemented
106#19098447C2211yescharacteristic, complemented
107#19098441C2211yescharacteristic
108#19098441C2211yescharacteristic
109#19098441C2211yescharacteristic
110#19098441C2211yescharacteristic
111#19098441C2211yescharacteristic
112#19098441C2211yescharacteristic
113#19098441C2211yescharacteristic
114#19098441C2211yescharacteristic
115#19098441C2211yescharacteristic
116#19098441C2211yescharacteristic
117#19098441C2211yescharacteristic
118#19098441C2211yescharacteristic
119#19098441C2211yescharacteristic, complemented
120#19098441C2211yescharacteristic, complemented
121#19098441C2211yescharacteristic, complemented
122#19098441C2211yescharacteristic, complemented
123#19098441C2211yescharacteristic, complemented
124#19098441C2211yescharacteristic, complemented
125#19098441C2211yescharacteristic, complemented
126#19098441C2211yescharacteristic, complemented
127#19098439C2211yescharacteristic
128#19098439C2211yescharacteristic
129#19098437C2211yescharacteristic, complemented
130#19098437C2211yescharacteristic, complemented
131#19098437C2211yescharacteristic, complemented
132#19098437C2211yescharacteristic, complemented
133#19098434C2211yescharacteristic, complemented
134#19098434C2211yescharacteristic, complemented
135#19098434C2211yescharacteristic, complemented
136#19098434C2211yescharacteristic, complemented
137#19098430C2211yescharacteristic, complemented
138#19098426C2211yescharacteristic
139#19098425C2211yescharacteristic, complemented
140#19098425C2211yescharacteristic, complemented
141#19098425C2211yescharacteristic, complemented
142#19098423C2211yescharacteristic
143#19098422C2211yescharacteristic, complemented
144#19098422C2211yescharacteristic, complemented
145#19098422C2211yescharacteristic, complemented
146#19098422C2211yescharacteristic, complemented
147#19098420C2211yescharacteristic, complemented
148#19098420C2211yescharacteristic, complemented
149#19098418C2211yescharacteristic
150#19098418C2211yescharacteristic
151#19098418C2211yescharacteristic
152#19098418C2211yescharacteristic
153#19098414C2211yescharacteristic, complemented
154C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
155C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
156C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
157C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
159C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
162#19098410C2211yescharacteristic, complemented
163#19098410C2211yescharacteristic, complemented
164#19098410C2211yescharacteristic, complemented
165#19098410C2211yescharacteristic, complemented
166#19098410C2211yescharacteristic, complemented
167#19098410C2211yescharacteristic, complemented
168#19098408C2211yescharacteristic, complemented
169#19098408C2211yescharacteristic, complemented
170#95×D79C2211yescharacteristic, complemented
171#95×D79C2211yescharacteristic, complemented
172#95×D79C2211yescharacteristic, complemented
173C2×C22⋊Q8×C79C2211yescharacteristic
174#391×C79C2211yescharacteristic, complemented
175#391×C79C2211yescharacteristic, complemented
176#388×C79C2211yescharacteristic
177#388×C79C2211yescharacteristic
178#388×C79C2211yescharacteristic
179#388×C79C2211yescharacteristic
180#387×C79C2211yescharacteristic, complemented
181#387×C79C2211yescharacteristic, complemented
182#387×C79C2211yescharacteristic, complemented
183#387×C79C2211yescharacteristic, complemented
184#381×C79C2211yescharacteristic
185C4×C4⋊C4×C79C2211yescharacteristic, complemented
186C4×C4⋊C4×C79C2211yescharacteristic, complemented
187C4×C22⋊C4×C79C2211yescharacteristic
188C24×D79C2311yescharacteristic
189C24×D79C2311yescharacteristic
190C2×#11929625—42no—
191C2×#11929625—42no—
192C2×#11929625C2×C418yescomplemented
193C22×D316—42no—
194C22×D316—42no—
195C22×D316C2×C418yescomplemented
196C22×D316C2311yescharacteristic
197C22×D316C2311yescharacteristic
198C22×D316C2311yescharacteristic
199C22×D316C2311yescharacteristic
200C22×D316C2311yescharacteristic
201C22×D316C2311yescharacteristic
202C22×D316C2311yescharacteristic
203C22×D316C2311yescharacteristic
204C22×C22⋊D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
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
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218C22×C4×D79C2311yescharacteristic
219C22×C4×D79C2311yescharacteristic
220#14579150C2×C418yescomplemented
221#14579146C2×C418yescomplemented
222#14579146C2×C418yescomplemented
223#14579136C2×C418yescomplemented
224#14579136C2×C418yescomplemented
225#14579136C2×C418yescomplemented
226#14579131C2×C418yescomplemented
227#14579131C2×C418yescomplemented
228C4×D316—42no—
229C4×D316—42no—
230C4×D316—42no—
231C4×D316—42no—
232#14579123—42no—
233#14579123—42no—
234#14579123C2×C418yescomplemented
235C4×C22⋊D79C2×C418yescomplemented
236#14579119—42no—
237#14579118—42no—
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
240C2×C4⋊Dic79C2311yescharacteristic
241C2×C4⋊Dic79C2311yescharacteristic
242C2×C4⋊Dic79C2311yescharacteristic
243C2×C4⋊Dic79C2311yescharacteristic
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×(C2×D79)⋊C4C2311yescharacteristic
258C2×(C2×D79)⋊C4C2311yescharacteristic
259C2×(C2×D79)⋊C4C2311yescharacteristic
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
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C22⋊C4×D79—42no—
297C22⋊C4×D79—42no—
298C22⋊C4×D79—42no—
299C22⋊C4×D79—42no—
300C22⋊C4×D79C2×C418yescomplemented
301C22⋊C4×D79C2×C418yescomplemented
302C2×C4×Dic79C2311yescharacteristic
303C2×C4×Dic79C2311yescharacteristic
304C2×C4×Dic79C2311yescharacteristic
305C2×C4×Dic79C2311yescharacteristic
306C2×C4×Dic79C2311yescharacteristic
307C2×C4×Dic79C2311yescharacteristic
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
310C2×C4×Dic79C2311yescharacteristic
311C2×C4×Dic79C2311yescharacteristic
312C2×C4×Dic79C2311yescharacteristic
313C42×D79—42no—
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×Q8×C79C2311yescharacteristic
341C23×C4×C79C2311yescharacteristic
342C22⋊Q8×C79C2×C418yescomplemented
343C2×C4⋊C4×C79C2311yescharacteristic
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C4⋊C4×C79C2311yescharacteristic
346C2×C4⋊C4×C79C2311yescharacteristic
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×C42×C79C2311yescharacteristic
357C2×C42×C79C2311yescharacteristic
358C2×C42×C79C2311yescharacteristic
359C2×C42×C79C2311yescharacteristic
360C2×C42×C79C2311yescharacteristic
361C2×C42×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×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
393C23×D79C2411yescharacteristic
394C23×D79C2411yescharacteristic
395#11929625—416no—
396C2×D316—22no—
397C2×D316—22no—
398C2×D316—22no—
399C2×D316—22no—
400C2×D316—22no—
401C2×D316—22no—
402C2×D316—41no—
403C2×D316—41no—
404C2×D316—41no—
405C2×D316—41no—
406C2×D316—41no—
407C2×D316—41no—
408C2×D316—41no—
409C2×D316—41no—
410C2×D316—41no—
411C2×D316—41no—
412C2×D316—416no—
413C2×D316C22×C414yes—
414C2×D316C22×C414yes—
415C2×D316C22×C414yes—
416C2×D316C22×C414yes—
417C2×D316C22×C414yes—
418C2×D316C22×C414yes—
419C2×D316C22×C414yes—
420C2×D316C22×C414yes—
421C2×C22⋊D79—41no—
422C2×C22⋊D79—41no—
423C2×C22⋊D79C22×C414yes—
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C2×C4×D79—22no—
436C2×C4×D79—22no—
437C2×C4×D79—22no—
438C2×C4×D79—22no—
439C2×C4×D79—22no—
440C2×C4×D79—22no—
441C2×C4×D79—22no—
442C2×C4×D79—22no—
443C2×C4×D79—22no—
444C2×C4×D79—41no—
445C2×C4×D79—41no—
446C2×C4×D79—41no—
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×D79—41no—
460C2×C4×D79—41no—
461C2×C4×D79—41no—
462C2×C4×D79—41no—
463C2×C4×D79—41no—
464C2×C4×D79—41no—
465C2×C4×D79—41no—
466C2×C4×D79—41no—
467C2×C4×D79—41no—
468C2×C4×D79—41no—
469C2×C4×D79—41no—
470C2×C4×D79—41no—
471C2×C4×D79—41no—
472C2×C4×D79—41no—
473C2×C4×D79—41no—
474C2×C4×D79—41no—
475C2×C4×D79C22×C414yes—
476C2×C4×D79C22×C414yes—
477C2×C4×D79C22×C414yes—
478C2×C4×D79C22×C414yes—
479C2×C4×D79C22×C414yes—
480C4⋊Dic79—41no—
481C4⋊Dic79—41no—
482C4⋊Dic79—41no—
483C4⋊Dic79—41no—
484C4⋊Dic79—41no—
485C4⋊Dic79—41no—
486Dic79⋊C4—41no—
487Dic79⋊C4—41no—
488Dic79⋊C4—41no—
489Dic79⋊C4—41no—
490Dic79⋊C4—41no—
491Dic79⋊C4—41no—
492Dic79⋊C4C22×C414yes—
493C22⋊Dic79—41no—
494C22⋊Dic79—41no—
495C22⋊Dic79—41no—
496C22⋊Dic79—41no—
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—22no—
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)⋊C4—41no—
517(C2×D79)⋊C4—41no—
518(C2×D79)⋊C4—41no—
519(C2×D79)⋊C4—41no—
520(C2×D79)⋊C4—41no—
521(C2×D79)⋊C4—41no—
522(C2×D79)⋊C4—41no—
523(C2×D79)⋊C4—41no—
524(C2×D79)⋊C4—41no—
525(C2×D79)⋊C4—41no—
526(C2×D79)⋊C4—41no—
527(C2×D79)⋊C4—41no—
528(C2×D79)⋊C4C22×C414yes—
529(C2×D79)⋊C4C22×C414yes—
530(C2×D79)⋊C4C22×C414yes—
531(C2×D79)⋊C4C22×C414yes—
532(C2×D79)⋊C4C22×C414yes—
533(C2×D79)⋊C4C22×C414yes—
534(C2×D79)⋊C4C22×C414yes—
535(C2×D79)⋊C4C22×C414yes—
536(C2×D79)⋊C4C22×C414yes—
537C4×Dic79—22no—
538C4×Dic79—41no—
539C4×Dic79—41no—
540C4×Dic79—41no—
541C4×Dic79—41no—
542C4×Dic79—41no—
543C4×Dic79—41no—
544C4×Dic79—41no—
545C4×Dic79—41no—
546C4×Dic79—41no—
547C4×Dic79C22×C414yes—
548C24×C79C2411yescharacteristic
549C2×Q8×C79—41no—
550C2×Q8×C79—41no—
551C2×Q8×C79C22×C414yes—
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
567C22×C4×C79C2411yescharacteristic
568C22×C4×C79C2411yescharacteristic
569C4⋊C4×C79—22no—
570C4⋊C4×C79—41no—
571C4⋊C4×C79—41no—
572C4⋊C4×C79—41no—
573C4⋊C4×C79C22×C414yes—
574C4⋊C4×C79C22×C414yes—
575C4⋊C4×C79C22×C414yes—
576C22⋊C4×C79—22no—
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—41no—
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×C79C23×C412yes—
595C23×C79C2511yescharacteristic
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—21no—
600C22×D79—21no—
601C22×D79—21no—
602C22×D79—21no—
603C22×D79—21no—
604C22×D79—21no—
605C22×D79—21no—
606C22×D79—21no—
607C22×D79—21no—
608C22×D79—21no—
609C22×D79—21no—
610C22×D79—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—28no—
625C22×D79—44no—
626C22×D79—44no—
627C22×D79—44no—
628C22×D79—44no—
629C22×D79—44no—
630C22×D79—82no—
631C22×D79—82no—
632C22×D79—82no—
633C22×D79—82no—
634C22×D79—82no—
635C22×D79—82no—
636C22×D79—82no—
637C22×D79—82no—
638C22×D79C23×C412yes—
639C22×D79C23×C412yes—
640C22×D79C23×C412yes—
641C22×D79C23×C412yes—
642C22×D79C23×C412yes—
643C22×D79H(5,𝔽2)12yes—
644C22×D79H(5,𝔽2)12yes—
645Q8×C79—44no—
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—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
681C2×C4×C79—44no—
682C2×C4×C79C23×C412yes—
683C2×C4×C79C23×C412yes—
684C2×C4×C79C23×C412yes—
685C2×C4×C79C23×C412yes—
686C2×C4×C79C23×C412yes—
687C2×C4×C79C23×C412yes—
688C2×C4×C79H(5,𝔽2)12yes—
689C22⋊D79—44no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—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×Dic79C23×C412yes—
721C2×Dic79C23×C412yes—
722C2×Dic79C23×C412yes—
723D316—28no—
724D316—28no—
725D316—28no—
726D316—44no—
727D316—44no—
728D316—44no—
729D316—44no—
730D316—44no—
731C4×D79—28no—
732C4×D79—44no—
733C4×D79—44no—
734C4×D79—44no—
735C4×D79—44no—
736C4×D79—44no—
737C4×D79—44no—
738C4×D79—82no—
739C4×D79—82no—
740C4×D79—82no—
741C4×D79—82no—
742C4×D79—82no—
743C4×D79—82no—
744C4×D79—82no—
745C4×D79—82no—
746C22×C79—22no—
747C22×C79—22no—
748C22×C79—22no—
749C22×C79—41no—
750C22×C79—41no—
751C22×C79—41no—
752C22×C79—41no—
753C22×C79C24×C411yescharacteristic
754C22×C79C2×H(5,𝔽2)11yescharacteristic
755C22×C79C2×H(5,𝔽2)11yescharacteristic
756C22×C79C2×H(5,𝔽2)11yescharacteristic
757C22×C79#58511yescharacteristic
758C22×C79#58511yescharacteristic
759C22×C79#58511yescharacteristic
760C2×D79—22no—
761C2×D79—22no—
762C2×D79—22no—
763C2×D79—22no—
764C2×D79—22no—
765C2×D79—22no—
766C2×D79—22no—
767C2×D79—22no—
768C2×D79—22no—
769C2×D79—22no—
770C2×D79—22no—
771C2×D79—22no—
772C2×D79—22no—
773C2×D79—22no—
774C2×D79—22no—
775C2×D79—22no—
776C2×D79—22no—
777C2×D79—22no—
778C2×D79—41no—
779C2×D79—41no—
780C2×D79—41no—
781C2×D79—41no—
782C2×D79—41no—
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—88no—
795C2×D79—88no—
796C2×D79#51814yes—
797C4×C79—22no—
798C4×C79—22no—
799C4×C79—22no—
800C4×C79—22no—
801C4×C79—22no—
802C4×C79—22no—
803C4×C79—22no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79—41no—
808C4×C79—41no—
809C4×C79—41no—
810C4×C79—41no—
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—42no—
824C2×C79C2×#51811yescharacteristic
825C2×C79#342811yescharacteristic
826C2×C79C4×H(5,𝔽2)11yescharacteristic
827C2×C79#353411yescharacteristic
828C2×C79#354211yescharacteristic
829C2×C79#354511yescharacteristic
830C2×C79#356011yescharacteristic
831D79—24no—
832D79—42no—
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#2332D7911yescharacteristic, complemented
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⋊Q8C2×D7911yescharacteristic
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×#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#391C2×D7911yescharacteristic, complemented
901#391C2×D7911yescharacteristic, complemented
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#387C2×D7911yescharacteristic, complemented
951#387C2×D7911yescharacteristic, complemented
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#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#385—791no—
983#385—791no—
984#383—791no—
985#381—791no—
986#381—791no—
987#381—791no—
988#381—791no—
989#381C2×D7911yescharacteristic
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⋊C4C2×D7911yescharacteristic, complemented
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⋊C4—791no—
1018C4×C22⋊C4C2×D7911yescharacteristic
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×Q8C22×D7911yescharacteristic
1030C22×D4—3162no—
1031C22×D4—3162no—
1032C22×D4—791no—
1033C22×D4—798no—
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×C4—791no—
1055C23×C4—791no—
1056C23×C4—791no—
1057C23×C4C22×D7911yescharacteristic
1058#124—798no—
1059#123—798no—
1060#123—798no—
1061C22⋊Q8C4×D7918yescomplemented
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—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⋊C4C22×D7911yescharacteristic
1092C2×C4⋊C4C22×D7911yescharacteristic
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—791no—
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—791no—
1139C2×C22⋊C4—791no—
1140C2×C22⋊C4—798no—
1141C2×C22⋊C4—798no—
1142C2×C22⋊C4—791no—
1143C2×C22⋊C4—791no—
1144C2×C22⋊C4—791no—
1145C2×C22⋊C4—791no—
1146C2×C22⋊C4—791no—
1147C2×C22⋊C4—791no—
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×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#95C22×D7911yescharacteristic
1199#95C22×D7911yescharacteristic
1200#95C22×D7911yescharacteristic
1201#95C22×D7911yescharacteristic
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—791no—
1228C24—791no—
1229C24—1582no—
1230C24—1582no—
1231C24C23×D7911yescharacteristic
1232#41—31616no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8C2×C4×D7914yes—
1236C2×D4—3161no—
1237C2×D4—3161no—
1238C2×D4—3161no—
1239C2×D4—3161no—
1240C2×D4—3161no—
1241C2×D4—3161no—
1242C2×D4—3161no—
1243C2×D4—3161no—
1244C2×D4—3161no—
1245C2×D4—3161no—
1246C2×D4—31616no—
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—41no—
1265C22×C4—41no—
1266C22×C4—3161no—
1267C22×C4—3161no—
1268C22×C4—3161no—
1269C22×C4—3161no—
1270C22×C4—3161no—
1271C22×C4—3161no—
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—794no—
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—1582no—
1314C22×C4—1582no—
1315C22×C4—1582no—
1316C22×C4—1582no—
1317C22×C4—1582no—
1318C22×C4—1582no—
1319C22×C4—1582no—
1320C22×C4—1582no—
1321C22×C4—1582no—
1322C22×C4C2×C4×D7914yes—
1323C22×C4C23×D7911yescharacteristic
1324C22×C4C23×D7911yescharacteristic
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—22no—
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—3161no—
1353C4⋊C4—794no—
1354C4⋊C4C2×C4×D7914yes—
1355C4⋊C4C2×C4×D7914yes—
1356C4⋊C4C2×C4×D7914yes—
1357C22⋊C4—22no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
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—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—794no—
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—22no—
1408C42—41no—
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—794no—
1423C42—1582no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—3164no—
1431C23—3164no—
1432C23—3164no—
1433C23—3164no—
1434C23—3164no—
1435C23—792no—
1436C23—792no—
1437C23—792no—
1438C23—792no—
1439C23—792no—
1440C23—792no—
1441C23—792no—
1442C23—6322no—
1443C23—6322no—
1444C23—6322no—
1445C23—6322no—
1446C23—6322no—
1447C23—6322no—
1448C23—6322no—
1449C23—6322no—
1450C23—1588no—
1451C23—1581no—
1452C23—1581no—
1453C23—1581no—
1454C23—1581no—
1455C23—1581no—
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—1581no—
1475C23—1581no—
1476C23—1581no—
1477C23—1581no—
1478C23—1581no—
1479C23C22×C4×D7912yes—
1480C23C24×D7911yescharacteristic
1481Q8—44no—
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—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—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—44no—
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—6322no—
1537C2×C4—6322no—
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×C4C22×C4×D7912yes—
1576C2×C4C22×C4×D7912yes—
1577C2×C4C22×C4×D7912yes—
1578C2×C4C22×C4×D7912yes—
1579C2×C4C22×C4×D7912yes—
1580C2×C4C22×C4×D7912yes—
1581C2×C4#1457920712yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—3161no—
1590C22—3161no—
1591C22—3161no—
1592C22—3161no—
1593C22—3161no—
1594C22—3161no—
1595C22—3161no—
1596C22—3161no—
1597C22—3161no—
1598C22—3161no—
1599C22—3161no—
1600C22—3161no—
1601C22—3161no—
1602C22—3161no—
1603C22—3161no—
1604C22—3161no—
1605C22—794no—
1606C22—6328no—
1607C22—6328no—
1608C22—1582no—
1609C22—1582no—
1610C22—1582no—
1611C22—1582no—
1612C22—1582no—
1613C22—1582no—
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
1629C22C2×#1457920711yescharacteristic
1630C22#1909939911yescharacteristic
1631C22#1909940011yescharacteristic
1632C22#1909940011yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—3161no—
1648C4—3161no—
1649C4—3161no—
1650C4—3161no—
1651C4—3161no—
1652C4—3161no—
1653C4—3161no—
1654C4—3161no—
1655C4—1582no—
1656C4—1582no—
1657C4—1582no—
1658C2—42no—
1659C2—3162no—
1660C2—3162no—
1661C2—3162no—
1662C2—3162no—
1663C2—1584no—
1664C2#518×D7911yescharacteristic
1665C2#2377660211yescharacteristic
1666C2C4×#1457920711yescharacteristic
1667C2#2377758811yescharacteristic
1668C2#2377771211yescharacteristic
1669C2#2377774811yescharacteristic
1670C2#2377795311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutatorC22×C79C24×C4
FittingC79×#2332C2
socle, cosocleC23×C79C25
prime radicalC2×#19099204C2
hypercenter#2332D79
hypocenterC79#34492
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2332

Complements

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

NH ≅ G/Ntype
2. #23766566C2semidirect
3. #23766555C2semidirect
4. #23766547C2semidirect
5. #23766540C2semidirect
6. #23766511C2semidirect
7. #23766446C2semidirect
8. #23766440C2semidirect
9. #23766397C2semidirect
10. #23766378C2semidirect
11. #23766343C2semidirect
12. #23766339C2semidirect
13. #23766248C2semidirect
14. #23766244C2semidirect
15. #23766229C2semidirect
16. C22⋊C4×D316C2semidirect
17. #23766212C2semidirect
18. #23766184C2semidirect
19. #23766164C2semidirect
20. #23766099C2semidirect
21. #23766073C2semidirect
22. #23766062C2semidirect
23. #23766053C2semidirect
24. #23766040C2semidirect
25. #23765994C2semidirect
26. #23765991C2semidirect
27. #23765977C2semidirect
28. C4×#14579136C2semidirect
29. #23765838C2semidirect
30. #388×D79C2semidirect
31. C79×#2332C2semidirect
34. #19099204C4semidirect
45. C2×C4×D316C22semidirect
46. C2×C4×D316C22semidirect
48. C2×#14579123C22semidirect
49. C2×#14579123C22semidirect
51. C2×#14579119C22semidirect
52. C2×#14579118C22semidirect
53. C2×C4⋊C4×D79C22semidirect
60. C2×C42×D79C22semidirect
61. #19098470C22semidirect
62. #19098470C22semidirect
65. #19098465C22semidirect
66. #19098465C22semidirect
67. #19098464C22semidirect
68. #19098464C22semidirect
71. #19098462C22semidirect
72. #19098462C22semidirect
73. #19098460C22semidirect
74. #19098460C22semidirect
81. #19098455C22semidirect
82. #19098455C22semidirect
83. #19098455C22semidirect
84. #19098455C22semidirect
85. #19098455C22semidirect
86. #19098455C22semidirect
87. #19098454C22semidirect
88. #19098454C22semidirect
89. #19098454C22semidirect
90. #19098454C22semidirect
91. #19098453C22semidirect
92. #19098453C22semidirect
93. #19098453C22semidirect
94. #19098453C22semidirect
95. #19098452C22semidirect
96. #19098452C22semidirect
97. #19098452C22semidirect
98. #19098452C22semidirect
101. #19098449C22semidirect
102. #19098449C22semidirect
103. #19098449C22semidirect
104. #19098449C22semidirect
105. #19098447C22semidirect
106. #19098447C22semidirect
119. #19098441C22semidirect
120. #19098441C22semidirect
121. #19098441C22semidirect
122. #19098441C22semidirect
123. #19098441C22semidirect
124. #19098441C22semidirect
125. #19098441C22semidirect
126. #19098441C22semidirect
129. #19098437C22semidirect
130. #19098437C22semidirect
131. #19098437C22semidirect
132. #19098437C22semidirect
133. #19098434C22semidirect
134. #19098434C22semidirect
135. #19098434C22semidirect
136. #19098434C22semidirect
137. #19098430C22semidirect
139. #19098425C22semidirect
140. #19098425C22semidirect
141. #19098425C22semidirect
143. #19098422C22semidirect
144. #19098422C22semidirect
145. #19098422C22semidirect
146. #19098422C22semidirect
147. #19098420C22semidirect
148. #19098420C22semidirect
153. #19098414C22semidirect
154. C4×(C2×D79)⋊C4C22semidirect
155. C4×(C2×D79)⋊C4C22semidirect
156. C4×(C2×D79)⋊C4C22semidirect
157. C4×(C2×D79)⋊C4C22semidirect
158. C4×(C2×D79)⋊C4C22semidirect
159. C4×(C2×D79)⋊C4C22semidirect
160. C4×(C2×D79)⋊C4C22semidirect
161. C4×(C2×D79)⋊C4C22semidirect
162. #19098410C22semidirect
163. #19098410C22semidirect
164. #19098410C22semidirect
165. #19098410C22semidirect
166. #19098410C22semidirect
167. #19098410C22semidirect
168. #19098408C22semidirect
169. #19098408C22semidirect
170. #95×D79C22semidirect
171. #95×D79C22semidirect
172. #95×D79C22semidirect
174. #391×C79C22semidirect
175. #391×C79C22semidirect
180. #387×C79C22semidirect
181. #387×C79C22semidirect
182. #387×C79C22semidirect
183. #387×C79C22semidirect
185. C4×C4⋊C4×C79C22semidirect
186. C4×C4⋊C4×C79C22semidirect
192. C2×#11929625C2×C4semidirect
195. C22×D316C2×C4semidirect
220. #14579150C2×C4semidirect
221. #14579146C2×C4semidirect
222. #14579146C2×C4semidirect
223. #14579136C2×C4semidirect
224. #14579136C2×C4semidirect
225. #14579136C2×C4semidirect
226. #14579131C2×C4semidirect
227. #14579131C2×C4semidirect
234. #14579123C2×C4semidirect
235. C4×C22⋊D79C2×C4semidirect
300. C22⋊C4×D79C2×C4semidirect
301. C22⋊C4×D79C2×C4semidirect
342. C22⋊Q8×C79C2×C4semidirect
855. #2332D79semidirect
867. C79#34492semidirect
900. #391C2×D79semidirect
901. #391C2×D79semidirect
950. #387C2×D79semidirect
951. #387C2×D79semidirect
952. #387C2×D79semidirect
953. #387C2×D79semidirect
1002. C4×C4⋊C4C2×D79semidirect
1003. C4×C4⋊C4C2×D79semidirect
1061. C22⋊Q8C4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190992042
#237665662
#237665552
#237665472
#237665402
#237665112
#237664462
#237664402
#237663972
#237663782
#237663432
#237663392
#237662482
#237662442
#237662292
C22⋊C4×D3162
#237662122
#237661842
#237661642
#237660992
#237660732
#237660622
#237660532
#237660402
#237659942
#237659912
#237659772
C4×#145791362
#237658382
#388×D792
C79×#23322
#3449279