Finite Group Databasebeta

← #2470×D79 #34456780

Subgroups — #2470×D79 #34456780

Order 20224.

3006 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D79C211yesmaximal, characteristic
2C2×#117×D79C211yesmaximal, characteristic, complemented
3#23767503C211yesmaximal, characteristic, complemented
4#23767502C211yesmaximal, characteristic, complemented
5#23767501C211yesmaximal, characteristic, complemented
6#23767500C211yesmaximal, characteristic, complemented
7#23767499C211yesmaximal, characteristic, complemented
8#23767498C211yesmaximal, characteristic, complemented
9#23767497C211yesmaximal, characteristic, complemented
10#23767496C211yesmaximal, characteristic, complemented
11#23767495C211yesmaximal, characteristic, complemented
12#23767494C211yesmaximal, characteristic, complemented
13#23767493C211yesmaximal, characteristic, complemented
14#23767492C211yesmaximal, characteristic, complemented
15#23767491C211yesmaximal, characteristic, complemented
16#23767490C211yesmaximal, characteristic, complemented
17#23767489C211yesmaximal, characteristic, complemented
18#400×D79C211yesmaximal, characteristic, complemented
19#397×D79C211yesmaximal, characteristic, complemented
20#396×D79C211yesmaximal, characteristic, complemented
21#394×D79C211yesmaximal, characteristic
22#389×D79C211yesmaximal, characteristic, complemented
23#389×D79C211yesmaximal, characteristic, complemented
24#388×D79C211yesmaximal, characteristic, complemented
25#388×D79C211yesmaximal, characteristic, complemented
26#387×D79C211yesmaximal, characteristic, complemented
27#386×D79C211yesmaximal, characteristic
28#385×D79C211yesmaximal, characteristic, complemented
29#385×D79C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D79C211yesmaximal, characteristic, complemented
31C79×#2470C211yesmaximal, characteristic, complemented
32C22×D4×D79C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34C23×C4×D79C2211yescharacteristic
35C2×#14579146C2211yescharacteristic
36C2×#14579146C2211yescharacteristic
37C2×#14579145C2211yescharacteristic
38C2×#14579144C2211yescharacteristic
39C2×#14579143C2211yescharacteristic
40C2×#14579143C2211yescharacteristic
41C2×#14579142C2211yescharacteristic
42#123×D79—28no—
43C2×#14579120C2211yescharacteristic, complemented
44C2×#14579119C2211yescharacteristic, complemented
45C2×#14579119C2211yescharacteristic, complemented
46C2×#14579118C2211yescharacteristic, complemented
47C2×#14579118C2211yescharacteristic, complemented
48C2×#14579117C2211yescharacteristic, complemented
49C2×#14579117C2211yescharacteristic, complemented
50#117×D79—28no—
51C2×C4⋊C4×D79C2211yescharacteristic
52C2×C4⋊C4×D79C2211yescharacteristic
53C2×C4⋊C4×D79C2211yescharacteristic
54C2×C4⋊C4×D79C2211yescharacteristic
55C2×C4⋊C4×D79C2211yescharacteristic
56C2×C4⋊C4×D79C2211yescharacteristic
57C2×C4⋊C4×D79C2211yescharacteristic
58C2×C4⋊C4×D79C2211yescharacteristic
59C2×C4⋊C4×D79C2211yescharacteristic
60C2×C22⋊C4×D79C2211yescharacteristic
61C2×C22⋊C4×D79C2211yescharacteristic
62C2×C22⋊C4×D79C2211yescharacteristic
63C2×C22⋊C4×D79C2211yescharacteristic
64C2×C22⋊C4×D79C2211yescharacteristic
65C2×C22⋊C4×D79C2211yescharacteristic
66C2×C22⋊C4×D79C2211yescharacteristic
67C2×C22⋊C4×D79C2211yescharacteristic
68C2×C22⋊C4×D79C2211yescharacteristic
69C2×C22⋊C4×D79C2211yescharacteristic
70C2×C42×D79C2211yescharacteristic
71C2×C42×D79C2211yescharacteristic
72C2×C42×D79C2211yescharacteristic
73#19098505C2211yescharacteristic, complemented
74#19098505C2211yescharacteristic, complemented
75#19098504C2211yescharacteristic, complemented
76#19098504C2211yescharacteristic, complemented
77#19098503C2211yescharacteristic, complemented
78#19098502C2211yescharacteristic, complemented
79#19098501C2211yescharacteristic, complemented
80#19098492C2211yescharacteristic, complemented
81#19098492C2211yescharacteristic, complemented
82#19098491C2211yescharacteristic, complemented
83#19098491C2211yescharacteristic, complemented
84#19098490C2211yescharacteristic, complemented
85#19098489C2211yescharacteristic, complemented
86#19098488C2211yescharacteristic, complemented
87#19098487C2211yescharacteristic, complemented
88#19098486C2211yescharacteristic, complemented
89#19098486C2211yescharacteristic, complemented
90#19098486C2211yescharacteristic, complemented
91#19098485C2211yescharacteristic, complemented
92#19098485C2211yescharacteristic, complemented
93#19098485C2211yescharacteristic, complemented
94#19098481C2211yescharacteristic
95#19098480C2211yescharacteristic
96#19098479C2211yescharacteristic
97#19098479C2211yescharacteristic
98#19098478C2211yescharacteristic
99#19098478C2211yescharacteristic
100#19098477C2211yescharacteristic
101#19098462C2211yescharacteristic, complemented
102#19098462C2211yescharacteristic, complemented
103#19098461C2211yescharacteristic, complemented
104#19098461C2211yescharacteristic, complemented
105#19098460C2211yescharacteristic, complemented
106#19098460C2211yescharacteristic, complemented
107#19098460C2211yescharacteristic, complemented
108#19098460C2211yescharacteristic, complemented
109#19098459C2211yescharacteristic, complemented
110#19098459C2211yescharacteristic, complemented
111#19098458C2211yescharacteristic, complemented
112#19098458C2211yescharacteristic, complemented
113#19098458C2211yescharacteristic, complemented
114#19098458C2211yescharacteristic, complemented
115#19098457C2211yescharacteristic, complemented
116#19098457C2211yescharacteristic, complemented
117#19098456C2211yescharacteristic, complemented
118#19098456C2211yescharacteristic, complemented
119#19098455C2211yescharacteristic, complemented
120#19098455C2211yescharacteristic, complemented
121#19098454C2211yescharacteristic, complemented
122#19098454C2211yescharacteristic, complemented
123#19098453C2211yescharacteristic, complemented
124#19098453C2211yescharacteristic, complemented
125#19098452C2211yescharacteristic, complemented
126#19098452C2211yescharacteristic, complemented
127#19098451C2211yescharacteristic, complemented
128#19098451C2211yescharacteristic, complemented
129#19098450C2211yescharacteristic, complemented
130#19098449C2211yescharacteristic, complemented
131#19098448C2211yescharacteristic, complemented
132#19098447C2211yescharacteristic, complemented
133#19098446C2211yescharacteristic, complemented
134#19098445C2211yescharacteristic, complemented
135#19098444C2211yescharacteristic, complemented
136#19098443C2211yescharacteristic
137#19098442C2211yescharacteristic
138#19098441C2211yescharacteristic
139#19098441C2211yescharacteristic
140#19098440C2211yescharacteristic
141#19098439C2211yescharacteristic
142#19098439C2211yescharacteristic
143#19098438C2211yescharacteristic, complemented
144#19098438C2211yescharacteristic, complemented
145#19098437C2211yescharacteristic, complemented
146#19098437C2211yescharacteristic, complemented
147#19098437C2211yescharacteristic, complemented
148#19098437C2211yescharacteristic, complemented
149#19098436C2211yescharacteristic, complemented
150#19098436C2211yescharacteristic, complemented
151#19098435C2211yescharacteristic, complemented
152#19098435C2211yescharacteristic, complemented
153#19098434C2211yescharacteristic, complemented
154#19098434C2211yescharacteristic, complemented
155#19098434C2211yescharacteristic, complemented
156#19098434C2211yescharacteristic, complemented
157C22⋊C4×Dic79C2211yescharacteristic, complemented
158C22⋊C4×Dic79C2211yescharacteristic, complemented
159C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
161C4×C22⋊Dic79C2211yescharacteristic, complemented
162#19098410C2211yescharacteristic, complemented
163#19098410C2211yescharacteristic, complemented
164#95×D79C2211yescharacteristic
165#95×D79C2211yescharacteristic
166#95×D79C2211yescharacteristic
167#95×D79C2211yescharacteristic
168#95×D79C2211yescharacteristic
169#95×D79C2211yescharacteristic
170#95×D79C2211yescharacteristic
171#95×D79C2211yescharacteristic
172#95×D79C2211yescharacteristic
173#95×D79C2211yescharacteristic
174C2×#123×C79C2211yescharacteristic
175C2×#117×C79C2211yescharacteristic, complemented
176#400×C79C2211yescharacteristic, complemented
177#397×C79C2211yescharacteristic, complemented
178#396×C79C2211yescharacteristic, complemented
179#394×C79C2211yescharacteristic
180#389×C79C2211yescharacteristic, complemented
181#389×C79C2211yescharacteristic, complemented
182#388×C79C2211yescharacteristic, complemented
183#388×C79C2211yescharacteristic, complemented
184#387×C79C2211yescharacteristic, complemented
185#386×C79C2211yescharacteristic
186#385×C79C2211yescharacteristic, complemented
187#385×C79C2211yescharacteristic, complemented
188C4×C22⋊C4×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C2×D4×D79—24no—
195C2×D4×D79—24no—
196C2×D4×D79—42no—
197C23×Dic79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C22×C4×D79—24no—
200C22×C4×D79—24no—
201C22×C4×D79—24no—
202C22×C4×D79—24no—
203C22×C4×D79—24no—
204C22×C4×D79—42no—
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
220C22×C4×D79C2311yescharacteristic
221C22×C4×D79C2311yescharacteristic
222#14579146—24no—
223#14579146—24no—
224#14579145—24no—
225#14579144—24no—
226#14579143—24no—
227#14579143—24no—
228#14579142—24no—
229#14579120—24no—
230#14579119—24no—
231#14579119—24no—
232#14579118—24no—
233#14579118—24no—
234#14579117—24no—
235#14579117—24no—
236C2×C4⋊Dic79C2311yescharacteristic
237C2×C4⋊Dic79C2311yescharacteristic
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
240C2×C4⋊Dic79C2311yescharacteristic
241C2×C4⋊Dic79C2311yescharacteristic
242C2×C4⋊Dic79C2311yescharacteristic
243C2×C4⋊Dic79C2311yescharacteristic
244C2×C4⋊Dic79C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×Dic79⋊C4C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
258C2×Dic79⋊C4C2311yescharacteristic
259C2×Dic79⋊C4C2311yescharacteristic
260C2×Dic79⋊C4C2311yescharacteristic
261C2×Dic79⋊C4C2311yescharacteristic
262C2×Dic79⋊C4C2311yescharacteristic
263C4⋊C4×D79—24no—
264C4⋊C4×D79—24no—
265C4⋊C4×D79—24no—
266C4⋊C4×D79—24no—
267C4⋊C4×D79—24no—
268C4⋊C4×D79—24no—
269C4⋊C4×D79—24no—
270C4⋊C4×D79—42no—
271C4⋊C4×D79—42no—
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×C22⋊Dic79C2311yescharacteristic
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
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C22⋊C4×D79—24no—
303C22⋊C4×D79—24no—
304C22⋊C4×D79—24no—
305C22⋊C4×D79—24no—
306C22⋊C4×D79—24no—
307C22⋊C4×D79—24no—
308C22⋊C4×D79—24no—
309C22⋊C4×D79—24no—
310C22⋊C4×D79—42no—
311C22⋊C4×D79D418yes—
312C2×C4×Dic79C2311yescharacteristic
313C2×C4×Dic79C2311yescharacteristic
314C2×C4×Dic79C2311yescharacteristic
315C2×C4×Dic79C2311yescharacteristic
316C2×C4×Dic79C2311yescharacteristic
317C2×C4×Dic79C2311yescharacteristic
318C2×C4×Dic79C2311yescharacteristic
319C2×C4×Dic79C2311yescharacteristic
320C2×C4×Dic79C2311yescharacteristic
321C42×D79—24no—
322C42×D79—24no—
323C42×D79—42no—
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
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C79⋊#95C2311yescharacteristic
343C79⋊#95C2311yescharacteristic
344C79⋊#95C2311yescharacteristic
345C79⋊#95C2311yescharacteristic
346C79⋊#95C2311yescharacteristic
347C79⋊#95C2311yescharacteristic
348C79⋊#95C2311yescharacteristic
349C79⋊#95C2311yescharacteristic
350C79⋊#95C2311yescharacteristic
351C79⋊#95C2311yescharacteristic
352C79⋊#95C2311yescharacteristic
353C79⋊#95C2311yescharacteristic
354C22×D4×C79C2311yescharacteristic
355C23×C4×C79C2311yescharacteristic
356C23×C4×C79C2311yescharacteristic
357#123×C79—24no—
358#117×C79—24no—
359C2×C4⋊C4×C79C2311yescharacteristic
360C2×C4⋊C4×C79C2311yescharacteristic
361C2×C4⋊C4×C79C2311yescharacteristic
362C2×C4⋊C4×C79C2311yescharacteristic
363C2×C4⋊C4×C79C2311yescharacteristic
364C2×C4⋊C4×C79C2311yescharacteristic
365C2×C4⋊C4×C79C2311yescharacteristic
366C2×C4⋊C4×C79C2311yescharacteristic
367C2×C4⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79C2311yescharacteristic
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×C22⋊C4×C79C2311yescharacteristic
377C2×C22⋊C4×C79C2311yescharacteristic
378C2×C42×C79C2311yescharacteristic
379C2×C42×C79C2311yescharacteristic
380C2×C42×C79C2311yescharacteristic
381#95×C79C2311yescharacteristic
382#95×C79C2311yescharacteristic
383#95×C79C2311yescharacteristic
384#95×C79C2311yescharacteristic
385#95×C79C2311yescharacteristic
386#95×C79C2311yescharacteristic
387#95×C79C2311yescharacteristic
388#95×C79C2311yescharacteristic
389#95×C79C2311yescharacteristic
390#95×C79C2311yescharacteristic
391C23×D79—22no—
392C23×D79—22no—
393C23×D79—22no—
394C23×D79—22no—
395C23×D79—22no—
396C23×D79—22no—
397C23×D79—22no—
398C23×D79—22no—
399C23×D79—22no—
400C23×D79—22no—
401C23×D79—22no—
402C23×D79—22no—
403C23×D79C2×D414yes—
404C23×D79#4114yes—
405C23×D79C2411yescharacteristic
406C23×D79C2411yescharacteristic
407C23×D79C2411yescharacteristic
408C2×D316—22no—
409C2×D316—22no—
410C2×D316—41no—
411C2×C22⋊D79—22no—
412C2×C22⋊D79—22no—
413C2×C22⋊D79—22no—
414C2×C22⋊D79—22no—
415C2×C22⋊D79—41no—
416C2×C22⋊D79—41no—
417D4×D79—416no—
418C22×Dic79—22no—
419C22×Dic79—22no—
420C22×Dic79—22no—
421C22×Dic79—22no—
422C22×Dic79—22no—
423C22×Dic79—41no—
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C2×C4×D79—232no—
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—22no—
445C2×C4×D79—22no—
446C2×C4×D79—22no—
447C2×C4×D79—22no—
448C2×C4×D79—22no—
449C2×C4×D79—22no—
450C2×C4×D79—22no—
451C2×C4×D79—22no—
452C2×C4×D79—22no—
453C2×C4×D79—22no—
454C2×C4×D79—22no—
455C2×C4×D79—22no—
456C2×C4×D79—22no—
457C2×C4×D79—22no—
458C2×C4×D79—22no—
459C2×C4×D79—22no—
460C2×C4×D79—22no—
461C2×C4×D79—22no—
462C2×C4×D79—22no—
463C2×C4×D79—22no—
464C2×C4×D79—22no—
465C2×C4×D79—22no—
466C2×C4×D79—22no—
467C2×C4×D79—22no—
468C2×C4×D79—22no—
469C2×C4×D79—22no—
470C2×C4×D79—22no—
471C2×C4×D79—22no—
472C2×C4×D79—22no—
473C2×C4×D79—22no—
474C2×C4×D79—22no—
475C2×C4×D79—22no—
476C2×C4×D79—22no—
477C2×C4×D79—22no—
478C2×C4×D79—22no—
479C2×C4×D79—22no—
480C2×C4×D79—22no—
481C2×C4×D79—22no—
482C2×C4×D79—41no—
483C2×C4×D79—41no—
484C2×C4×D79—416no—
485C2×C4×D79C2×D414yes—
486C2×C4×D79C2×D414yes—
487C2×C4×D79#4114yes—
488C2×C4×D79#4114yes—
489C2×C4×D79#4114yes—
490C4⋊Dic79—22no—
491C4⋊Dic79—22no—
492C4⋊Dic79—22no—
493C4⋊Dic79—22no—
494C4⋊Dic79—22no—
495C4⋊Dic79—22no—
496C4⋊Dic79—22no—
497C4⋊Dic79—41no—
498C4⋊Dic79—41no—
499Dic79⋊C4—22no—
500Dic79⋊C4—22no—
501Dic79⋊C4—22no—
502Dic79⋊C4—22no—
503Dic79⋊C4—22no—
504Dic79⋊C4—22no—
505Dic79⋊C4—22no—
506Dic79⋊C4—22no—
507Dic79⋊C4—22no—
508Dic79⋊C4—22no—
509Dic79⋊C4—22no—
510Dic79⋊C4—22no—
511Dic79⋊C4—22no—
512Dic79⋊C4—22no—
513Dic79⋊C4—41no—
514Dic79⋊C4—41no—
515Dic79⋊C4—41no—
516Dic79⋊C4—41no—
517C22⋊Dic79—22no—
518C22⋊Dic79—22no—
519C22⋊Dic79—22no—
520C22⋊Dic79—22no—
521C22⋊Dic79—22no—
522C22⋊Dic79—22no—
523C22⋊Dic79—22no—
524C22⋊Dic79—22no—
525C22⋊Dic79—41no—
526C22⋊Dic79C2×D414yes—
527(C2×D79)⋊C4—22no—
528(C2×D79)⋊C4—22no—
529(C2×D79)⋊C4—22no—
530(C2×D79)⋊C4—22no—
531(C2×D79)⋊C4—22no—
532(C2×D79)⋊C4—22no—
533(C2×D79)⋊C4—22no—
534(C2×D79)⋊C4—22no—
535(C2×D79)⋊C4—22no—
536(C2×D79)⋊C4—22no—
537(C2×D79)⋊C4—22no—
538(C2×D79)⋊C4—22no—
539(C2×D79)⋊C4—22no—
540(C2×D79)⋊C4—22no—
541(C2×D79)⋊C4—22no—
542(C2×D79)⋊C4—22no—
543(C2×D79)⋊C4—41no—
544(C2×D79)⋊C4—41no—
545(C2×D79)⋊C4C2×D414yes—
546(C2×D79)⋊C4C2×D414yes—
547C4×Dic79—22no—
548C4×Dic79—22no—
549C4×Dic79—22no—
550C4×Dic79—22no—
551C4×Dic79—22no—
552C4×Dic79—22no—
553C4×Dic79—41no—
554C4×Dic79—41no—
555C4×Dic79—41no—
556C24×C79C2411yescharacteristic
557C24×C79C2411yescharacteristic
558C2×D4×C79—22no—
559C2×D4×C79—22no—
560C2×D4×C79—41no—
561C22×C4×C79—22no—
562C22×C4×C79—22no—
563C22×C4×C79—22no—
564C22×C4×C79—22no—
565C22×C4×C79—22no—
566C22×C4×C79—41no—
567C22×C4×C79C2411yescharacteristic
568C22×C4×C79C2411yescharacteristic
569C22×C4×C79C2411yescharacteristic
570C22×C4×C79C2411yescharacteristic
571C22×C4×C79C2411yescharacteristic
572C22×C4×C79C2411yescharacteristic
573C22×C4×C79C2411yescharacteristic
574C22×C4×C79C2411yescharacteristic
575C22×C4×C79C2411yescharacteristic
576C22×C4×C79C2411yescharacteristic
577C22×C4×C79C2411yescharacteristic
578C22×C4×C79C2411yescharacteristic
579C22×C4×C79C2411yescharacteristic
580C4⋊C4×C79—22no—
581C4⋊C4×C79—22no—
582C4⋊C4×C79—22no—
583C4⋊C4×C79—22no—
584C4⋊C4×C79—22no—
585C4⋊C4×C79—22no—
586C4⋊C4×C79—22no—
587C4⋊C4×C79—41no—
588C4⋊C4×C79—41no—
589C22⋊C4×C79—22no—
590C22⋊C4×C79—22no—
591C22⋊C4×C79—22no—
592C22⋊C4×C79—22no—
593C22⋊C4×C79—22no—
594C22⋊C4×C79—22no—
595C22⋊C4×C79—22no—
596C22⋊C4×C79—22no—
597C22⋊C4×C79—41no—
598C22⋊C4×C79C2×D414yes—
599C42×C79—22no—
600C42×C79—22no—
601C42×C79—41no—
602C23×C79—21no—
603C23×C79—21no—
604C23×C79—21no—
605C23×C79—21no—
606C23×C79—21no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79—21no—
611C23×C79—21no—
612C23×C79—21no—
613C23×C79—21no—
614C23×C79C22×D412yes—
615C23×C79C2×#4112yes—
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—28no—
630C22×D79—28no—
631C22×D79—28no—
632C22×D79—28no—
633C22×D79—28no—
634C22×D79—28no—
635C22×D79—44no—
636C22×D79—44no—
637C22×D79—44no—
638C22×D79—44no—
639C22×D79—44no—
640C22×D79—44no—
641C22×D79—44no—
642C22×D79—44no—
643C22×D79C22×D412yes—
644C22×D79C22×D412yes—
645C22×D79C2×#4112yes—
646C22×D79C2×#4112yes—
647C22×D79C2×#4112yes—
648C22×D79C2×#4112yes—
649C22×D79C2×#4112yes—
650C22×D79H(5,𝔽2)12yes—
651C22×D792−1+412yes—
652D4×C79—44no—
653C2×C4×C79—28no—
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—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—21no—
687C2×C4×C79—21no—
688C2×C4×C79—44no—
689C2×C4×C79C22×D412yes—
690C2×C4×C79C22×D412yes—
691C2×C4×C79C2×#4112yes—
692C2×C4×C79C2×#4112yes—
693C2×C4×C79C2×#4112yes—
694C22⋊D79—44no—
695C22⋊D79—44no—
696C2×Dic79—28no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—21no—
731C2×Dic79—44no—
732C2×Dic79C22×D412yes—
733C2×Dic79C22×D412yes—
734C2×Dic79C2×#4112yes—
735C2×Dic79C2×#4112yes—
736C2×Dic79C2×#4112yes—
737D316—44no—
738C4×D79—28no—
739C4×D79—28no—
740C4×D79—28no—
741C4×D79—28no—
742C4×D79—28no—
743C4×D79—28no—
744C4×D79—28no—
745C4×D79—44no—
746C4×D79—44no—
747C4×D79—44no—
748C4×D79—44no—
749C4×D79—44no—
750C4×D79—44no—
751C4×D79—44no—
752C4×D79—44no—
753C4×D79—44no—
754C4×D79—44no—
755C22×C79—22no—
756C22×C79—22no—
757C22×C79—22no—
758C22×C79—22no—
759C22×C79—22no—
760C22×C79—22no—
761C22×C79—41no—
762C22×C79—41no—
763C22×C79—41no—
764C22×C79—41no—
765C22×C79—41no—
766C22×C79—41no—
767C22×C79—41no—
768C22×C79—41no—
769C22×C79C23×D411yescharacteristic
770C22×C79C22×#4111yescharacteristic
771C22×C79C22×#4111yescharacteristic
772C22×C79C22×#4111yescharacteristic
773C22×C79C22×#4111yescharacteristic
774C22×C79C2×H(5,𝔽2)11yescharacteristic
775C22×C79C2×2−1+411yescharacteristic
776C2×D79—22no—
777C2×D79—22no—
778C2×D79—22no—
779C2×D79—22no—
780C2×D79—22no—
781C2×D79—22no—
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—416no—
791C2×D79—416no—
792C2×D79#52514yes—
793C2×D79#52914yes—
794C2×D79#54214yes—
795C2×D79#54614yes—
796C2×D79#54714yes—
797C2×D79#55214yes—
798C2×D79#55314yes—
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—
811C4×C79—41no—
812Dic79—22no—
813Dic79—22no—
814Dic79—22no—
815Dic79—22no—
816Dic79—22no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822Dic79—41no—
823Dic79—41no—
824Dic79—41no—
825C2×#2470—791nomaximal, Sylow
826C2×C79—42no—
827C2×C79—42no—
828C2×C79C2×#52511yescharacteristic
829C2×C79C2×#52911yescharacteristic
830C2×C79C2×#54211yescharacteristic
831C2×C79C2×#54611yescharacteristic
832C2×C79C2×#54711yescharacteristic
833C2×C79C2×#55211yescharacteristic
834C2×C79C2×#55311yescharacteristic
835D79—42no—
836D79—42no—
837D79#247018yesdirect product factor
838C22×#123—791no—
839C22×#117—791no—
840#2470—791no—
841#2470—791no—
842#2470—791no—
843#2470—791no—
844#2470—791no—
845#2470—791no—
846#2470—791no—
847#2470—791no—
848#2470—791no—
849#2470—791no—
850#2470—791no—
851#2470—791no—
852#2470—791no—
853#2470—791no—
854#2470—791no—
855#2470D7911yescharacteristic, direct product factor
856C2×#400—791no—
857C2×#397—791no—
858C2×#396—791no—
859C2×#394—791no—
860C2×#389—791no—
861C2×#389—791no—
862C2×#388—791no—
863C2×#388—791no—
864C2×#387—791no—
865C2×#386—791no—
866C2×#385—791no—
867C2×#385—791no—
868C2×C4×C22⋊C4—791no—
869C79C2×#247011yescharacteristic, complemented, Sylow
870C23×D4—791no—
871C24×C4—791no—
872C24×C4—791no—
873C2×#123—791no—
874C2×#123—791no—
875C2×#123—791no—
876C2×#123—791no—
877C2×#123—791no—
878C2×#123—791no—
879C2×#123—791no—
880C2×#123—1588no—
881C2×#123C2×D7911yescharacteristic
882C2×#117—791no—
883C2×#117—791no—
884C2×#117—791no—
885C2×#117—791no—
886C2×#117—791no—
887C2×#117—791no—
888C2×#117—791no—
889C2×#117—1588no—
890C2×#117C2×D7911yescharacteristic, complemented
891C22×C4⋊C4—791no—
892C22×C4⋊C4—791no—
893C22×C4⋊C4—791no—
894C22×C4⋊C4—791no—
895C22×C4⋊C4—791no—
896C22×C4⋊C4—791no—
897C22×C4⋊C4—791no—
898C22×C4⋊C4—791no—
899C22×C4⋊C4—791no—
900C22×C22⋊C4—791no—
901C22×C22⋊C4—791no—
902C22×C22⋊C4—791no—
903C22×C22⋊C4—791no—
904C22×C22⋊C4—791no—
905C22×C22⋊C4—791no—
906C22×C22⋊C4—791no—
907C22×C22⋊C4—791no—
908C22×C22⋊C4—791no—
909C22×C22⋊C4—791no—
910C22×C42—791no—
911C22×C42—791no—
912C22×C42—791no—
913#400—791no—
914#400—791no—
915#400—791no—
916#400—791no—
917#400—791no—
918#400—791no—
919#400—791no—
920#400C2×D7911yescharacteristic, complemented
921#397—791no—
922#397—791no—
923#397—791no—
924#397—791no—
925#397—791no—
926#397—791no—
927#397—791no—
928#397C2×D7911yescharacteristic, complemented
929#396—791no—
930#396—791no—
931#396—791no—
932#396—791no—
933#396—791no—
934#396—791no—
935#396—791no—
936#396C2×D7911yescharacteristic, complemented
937#394—791no—
938#394—791no—
939#394—791no—
940#394—791no—
941#394—791no—
942#394—791no—
943#394—791no—
944#394C2×D7911yescharacteristic
945#389—791no—
946#389—791no—
947#389—791no—
948#389—791no—
949#389—791no—
950#389—791no—
951#389—791no—
952#389—791no—
953#389—791no—
954#389—791no—
955#389—791no—
956#389—791no—
957#389—791no—
958#389—791no—
959#389C2×D7911yescharacteristic, complemented
960#389C2×D7911yescharacteristic, complemented
961#388—791no—
962#388—791no—
963#388—791no—
964#388—791no—
965#388—791no—
966#388—791no—
967#388—791no—
968#388—791no—
969#388—791no—
970#388—791no—
971#388—791no—
972#388—791no—
973#388—791no—
974#388—791no—
975#388C2×D7911yescharacteristic, complemented
976#388C2×D7911yescharacteristic, complemented
977#387—791no—
978#387—791no—
979#387—791no—
980#387—791no—
981#387—791no—
982#387—791no—
983#387—791no—
984#387C2×D7911yescharacteristic, complemented
985#386—791no—
986#386—791no—
987#386—791no—
988#386—791no—
989#386—791no—
990#386—791no—
991#386—791no—
992#386C2×D7911yescharacteristic
993#385—791no—
994#385—791no—
995#385—791no—
996#385—791no—
997#385—791no—
998#385—791no—
999#385—791no—
1000#385—791no—
1001#385—791no—
1002#385—791no—
1003#385—791no—
1004#385—791no—
1005#385—791no—
1006#385—791no—
1007#385C2×D7911yescharacteristic, complemented
1008#385C2×D7911yescharacteristic, complemented
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
1017C2×#95—791no—
1018C2×#95—791no—
1019C2×#95—791no—
1020C2×#95—791no—
1021C2×#95—791no—
1022C2×#95—791no—
1023C2×#95—791no—
1024C2×#95—791no—
1025C2×#95—791no—
1026C2×#95—791no—
1027C25—791no—
1028C25—791no—
1029C22×D4—3162no—
1030C22×D4—791no—
1031C22×D4—791no—
1032C22×D4—791no—
1033C22×D4—1584no—
1034C22×D4—1584no—
1035C22×D4C22×D7911yescharacteristic
1036C23×C4—3162no—
1037C23×C4—791no—
1038C23×C4—791no—
1039C23×C4—791no—
1040C23×C4—791no—
1041C23×C4—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—1584no—
1057C23×C4—1584no—
1058C23×C4—1584no—
1059C23×C4—1584no—
1060C23×C4—1584no—
1061C23×C4C22×D7911yescharacteristic
1062C23×C4C22×D7911yescharacteristic
1063#123—24no—
1064#123—1584no—
1065#123—1584no—
1066#123—1584no—
1067#123—1584no—
1068#123—1584no—
1069#123—1584no—
1070#123—1584no—
1071#117—24no—
1072#117—1584no—
1073#117—1584no—
1074#117—1584no—
1075#117—1584no—
1076#117—1584no—
1077#117—1584no—
1078#117—1584no—
1079C2×C4⋊C4—3162no—
1080C2×C4⋊C4—3162no—
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⋊C4—791no—
1096C2×C4⋊C4—791no—
1097C2×C4⋊C4—791no—
1098C2×C4⋊C4—791no—
1099C2×C4⋊C4—791no—
1100C2×C4⋊C4—791no—
1101C2×C4⋊C4—791no—
1102C2×C4⋊C4—791no—
1103C2×C4⋊C4—791no—
1104C2×C4⋊C4—791no—
1105C2×C4⋊C4—791no—
1106C2×C4⋊C4—791no—
1107C2×C4⋊C4—791no—
1108C2×C4⋊C4—1584no—
1109C2×C4⋊C4—1584no—
1110C2×C4⋊C4—1584no—
1111C2×C4⋊C4—1584no—
1112C2×C4⋊C4—1584no—
1113C2×C4⋊C4—1584no—
1114C2×C4⋊C4—1584no—
1115C2×C4⋊C4C22×D7911yescharacteristic
1116C2×C4⋊C4C22×D7911yescharacteristic
1117C2×C4⋊C4C22×D7911yescharacteristic
1118C2×C4⋊C4C22×D7911yescharacteristic
1119C2×C4⋊C4C22×D7911yescharacteristic
1120C2×C4⋊C4C22×D7911yescharacteristic
1121C2×C4⋊C4C22×D7911yescharacteristic
1122C2×C4⋊C4C22×D7911yescharacteristic
1123C2×C4⋊C4C22×D7911yescharacteristic
1124C2×C22⋊C4—3162no—
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—798no—
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—791no—
1141C2×C22⋊C4—791no—
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⋊C4—791no—
1149C2×C22⋊C4—791no—
1150C2×C22⋊C4—791no—
1151C2×C22⋊C4—791no—
1152C2×C22⋊C4—791no—
1153C2×C22⋊C4—791no—
1154C2×C22⋊C4—791no—
1155C2×C22⋊C4—791no—
1156C2×C22⋊C4—1584no—
1157C2×C22⋊C4—1584no—
1158C2×C22⋊C4—1584no—
1159C2×C22⋊C4—1584no—
1160C2×C22⋊C4—1584no—
1161C2×C22⋊C4—1584no—
1162C2×C22⋊C4—1584no—
1163C2×C22⋊C4—1584no—
1164C2×C22⋊C4C22×D7911yescharacteristic
1165C2×C22⋊C4C22×D7911yescharacteristic
1166C2×C22⋊C4C22×D7911yescharacteristic
1167C2×C22⋊C4C22×D7911yescharacteristic
1168C2×C22⋊C4C22×D7911yescharacteristic
1169C2×C22⋊C4C22×D7911yescharacteristic
1170C2×C22⋊C4C22×D7911yescharacteristic
1171C2×C22⋊C4C22×D7911yescharacteristic
1172C2×C22⋊C4C22×D7911yescharacteristic
1173C2×C22⋊C4C22×D7911yescharacteristic
1174C2×C42—3162no—
1175C2×C42—791no—
1176C2×C42—791no—
1177C2×C42—791no—
1178C2×C42—791no—
1179C2×C42—791no—
1180C2×C42—791no—
1181C2×C42—791no—
1182C2×C42—791no—
1183C2×C42—791no—
1184C2×C42—1584no—
1185C2×C42—1584no—
1186C2×C42C22×D7911yescharacteristic
1187C2×C42C22×D7911yescharacteristic
1188C2×C42C22×D7911yescharacteristic
1189#95—791no—
1190#95—791no—
1191#95—791no—
1192#95—791no—
1193#95—791no—
1194#95—791no—
1195#95—791no—
1196#95—791no—
1197#95—791no—
1198#95—791no—
1199#95—791no—
1200#95—791no—
1201#95—791no—
1202#95—791no—
1203#95—791no—
1204#95—791no—
1205#95—791no—
1206#95—791no—
1207#95—791no—
1208#95—791no—
1209#95—791no—
1210#95—791no—
1211#95—791no—
1212#95—791no—
1213#95—791no—
1214#95—791no—
1215#95—791no—
1216#95—791no—
1217#95—791no—
1218#95—791no—
1219#95C22×D7911yescharacteristic
1220#95C22×D7911yescharacteristic
1221#95C22×D7911yescharacteristic
1222#95C22×D7911yescharacteristic
1223#95C22×D7911yescharacteristic
1224#95C22×D7911yescharacteristic
1225#95C22×D7911yescharacteristic
1226#95C22×D7911yescharacteristic
1227#95C22×D7911yescharacteristic
1228#95C22×D7911yescharacteristic
1229C24—791no—
1230C24—794no—
1231C24—791no—
1232C24—791no—
1233C24—794no—
1234C24—1582no—
1235C24—1582no—
1236C24—1582no—
1237C24—1582no—
1238C24—1582no—
1239C24—1582no—
1240C24—1582no—
1241C24—1582no—
1242C24—1582no—
1243C24—1582no—
1244C24—1582no—
1245C24—1582no—
1246C24C23×D7911yescharacteristic
1247C24C23×D7911yescharacteristic
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—41no—
1251C2×D4—3161no—
1252C2×D4—31616no—
1253C2×D4—3161no—
1254C2×D4—3161no—
1255C2×D4—1582no—
1256C2×D4—1582no—
1257C2×D4—1582no—
1258C2×D4—1582no—
1259C2×D4—1582no—
1260C2×D4—1582no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—41no—
1267C22×C4—3161no—
1268C22×C4—3161no—
1269C22×C4—31616no—
1270C22×C4—3161no—
1271C22×C4—791no—
1272C22×C4—791no—
1273C22×C4—791no—
1274C22×C4—791no—
1275C22×C4—791no—
1276C22×C4—794no—
1277C22×C4—794no—
1278C22×C4—794no—
1279C22×C4—794no—
1280C22×C4—794no—
1281C22×C4—791no—
1282C22×C4—791no—
1283C22×C4—791no—
1284C22×C4—791no—
1285C22×C4—791no—
1286C22×C4—791no—
1287C22×C4—791no—
1288C22×C4—791no—
1289C22×C4—1582no—
1290C22×C4—1582no—
1291C22×C4—1582no—
1292C22×C4—1582no—
1293C22×C4—1582no—
1294C22×C4—1582no—
1295C22×C4—1582no—
1296C22×C4—1582no—
1297C22×C4—1582no—
1298C22×C4—1582no—
1299C22×C4—1582no—
1300C22×C4—1582no—
1301C22×C4—1582no—
1302C22×C4—1582no—
1303C22×C4—1582no—
1304C22×C4—1582no—
1305C22×C4—1582no—
1306C22×C4—1582no—
1307C22×C4—1582no—
1308C22×C4—1582no—
1309C22×C4—1582no—
1310C22×C4—1582no—
1311C22×C4—1582no—
1312C22×C4—1582no—
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×C4—1582no—
1323C22×C4—1582no—
1324C22×C4—1582no—
1325C22×C4—1582no—
1326C22×C4—1582no—
1327C22×C4—1582no—
1328C22×C4—1582no—
1329C22×C4—1582no—
1330C22×C4—15832no—
1331C22×C4—1582no—
1332C22×C4—1582no—
1333C22×C4—1582no—
1334C22×C4—1582no—
1335C22×C4—1582no—
1336C22×C4—1582no—
1337C22×C4—1582no—
1338C22×C4—1582no—
1339C22×C4C23×D7911yescharacteristic
1340C22×C4C23×D7911yescharacteristic
1341C22×C4C23×D7911yescharacteristic
1342C22×C4C23×D7911yescharacteristic
1343C22×C4C23×D7911yescharacteristic
1344C22×C4C23×D7911yescharacteristic
1345C22×C4C23×D7911yescharacteristic
1346C22×C4C23×D7911yescharacteristic
1347C22×C4C23×D7911yescharacteristic
1348C22×C4C23×D7911yescharacteristic
1349C22×C4C23×D7911yescharacteristic
1350C22×C4C23×D7911yescharacteristic
1351C22×C4C23×D7911yescharacteristic
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—41no—
1360C4⋊C4—41no—
1361C4⋊C4—3161no—
1362C4⋊C4—3161no—
1363C4⋊C4—3161no—
1364C4⋊C4—3161no—
1365C4⋊C4—3161no—
1366C4⋊C4—3161no—
1367C4⋊C4—1582no—
1368C4⋊C4—1582no—
1369C4⋊C4—1582no—
1370C4⋊C4—1582no—
1371C4⋊C4—1582no—
1372C4⋊C4—1582no—
1373C4⋊C4—1582no—
1374C4⋊C4—1582no—
1375C4⋊C4—1582no—
1376C4⋊C4—1582no—
1377C4⋊C4—1582no—
1378C4⋊C4—1582no—
1379C4⋊C4—1582no—
1380C4⋊C4—1582no—
1381C4⋊C4—1582no—
1382C4⋊C4—1582no—
1383C4⋊C4—1582no—
1384C4⋊C4—1582no—
1385C4⋊C4—1582no—
1386C4⋊C4—1582no—
1387C4⋊C4—1582no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—41no—
1397C22⋊C4—3161no—
1398C22⋊C4—3161no—
1399C22⋊C4—3161no—
1400C22⋊C4—794no—
1401C22⋊C4—794no—
1402C22⋊C4—794no—
1403C22⋊C4—1582no—
1404C22⋊C4—1582no—
1405C22⋊C4—1582no—
1406C22⋊C4—1582no—
1407C22⋊C4—1582no—
1408C22⋊C4—1582no—
1409C22⋊C4—1582no—
1410C22⋊C4—1582no—
1411C22⋊C4—1582no—
1412C22⋊C4—1582no—
1413C22⋊C4—1582no—
1414C22⋊C4—1582no—
1415C22⋊C4—1582no—
1416C22⋊C4—1582no—
1417C22⋊C4—1582no—
1418C22⋊C4—1582no—
1419C22⋊C4—1582no—
1420C22⋊C4—1582no—
1421C22⋊C4—1582no—
1422C22⋊C4—1582no—
1423C22⋊C4—1582no—
1424C22⋊C4—1582no—
1425C22⋊C4—1582no—
1426C22⋊C4—1582no—
1427C22⋊C4D4×D7914yes—
1428C42—22no—
1429C42—22no—
1430C42—41no—
1431C42—3161no—
1432C42—3161no—
1433C42—3161no—
1434C42—1582no—
1435C42—1582no—
1436C42—1582no—
1437C42—1582no—
1438C42—1582no—
1439C42—1582no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—3164no—
1453C23—3164no—
1454C23—3164no—
1455C23—3164no—
1456C23—3164no—
1457C23—3164no—
1458C23—3164no—
1459C23—3164no—
1460C23—792no—
1461C23—792no—
1462C23—792no—
1463C23—792no—
1464C23—792no—
1465C23—792no—
1466C23—792no—
1467C23—792no—
1468C23—792no—
1469C23—1588no—
1470C23—1588no—
1471C23—1588no—
1472C23—1588no—
1473C23—1588no—
1474C23—1588no—
1475C23—1581no—
1476C23—1581no—
1477C23—1581no—
1478C23—1581no—
1479C23—1581no—
1480C23—1581no—
1481C23—1581no—
1482C23—1581no—
1483C23—1581no—
1484C23—1581no—
1485C23—1581no—
1486C23—1581no—
1487C23C2×D4×D7912yes—
1488C23#41×D7912yes—
1489C23C24×D7911yescharacteristic
1490D4—44no—
1491D4—3164no—
1492D4—3164no—
1493D4—3164no—
1494C2×C4—28no—
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—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—44no—
1530C2×C4—3164no—
1531C2×C4—3164no—
1532C2×C4—3164no—
1533C2×C4—3164no—
1534C2×C4—3164no—
1535C2×C4—3164no—
1536C2×C4—3164no—
1537C2×C4—3164no—
1538C2×C4—3164no—
1539C2×C4—3164no—
1540C2×C4—3164no—
1541C2×C4—792no—
1542C2×C4—792no—
1543C2×C4—792no—
1544C2×C4—792no—
1545C2×C4—792no—
1546C2×C4—1588no—
1547C2×C4—1588no—
1548C2×C4—1588no—
1549C2×C4—1588no—
1550C2×C4—1588no—
1551C2×C4—1588no—
1552C2×C4—1588no—
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—1588no—
1578C2×C4—1581no—
1579C2×C4—1581no—
1580C2×C4—1581no—
1581C2×C4—1581no—
1582C2×C4—1581no—
1583C2×C4—1581no—
1584C2×C4—1581no—
1585C2×C4—1581no—
1586C2×C4—1581no—
1587C2×C4—1581no—
1588C2×C4C2×D4×D7912yes—
1589C2×C4C2×D4×D7912yes—
1590C2×C4#41×D7912yes—
1591C2×C4#41×D7912yes—
1592C2×C4#41×D7912yes—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—31616no—
1608C22—31616no—
1609C22—3161no—
1610C22—3161no—
1611C22—3161no—
1612C22—3161no—
1613C22—3161no—
1614C22—3161no—
1615C22—3161no—
1616C22—3161no—
1617C22—794no—
1618C22—794no—
1619C22—794no—
1620C22—794no—
1621C22—794no—
1622C22—794no—
1623C22—794no—
1624C22—1582no—
1625C22—1582no—
1626C22—1582no—
1627C22—1582no—
1628C22—1582no—
1629C22—1582no—
1630C22C22×D4×D7911yescharacteristic
1631C22C2×#41×D7911yescharacteristic
1632C22C2×#41×D7911yescharacteristic
1633C22C2×#41×D7911yescharacteristic
1634C22C2×#41×D7911yescharacteristic
1635C22H(5,𝔽2)×D7911yescharacteristic
1636C222−1+4×D7911yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—3161no—
1651C4—3161no—
1652C4—3161no—
1653C4—3161no—
1654C4—3161no—
1655C4—3161no—
1656C4—3161no—
1657C4—3161no—
1658C4—1582no—
1659C4—1582no—
1660C4—1582no—
1661C4—1582no—
1662C4—1582no—
1663C2—42no—
1664C2—42no—
1665C2—3162no—
1666C2—3162no—
1667C2—798no—
1668C2#525×D7911yescharacteristic
1669C2#529×D7911yescharacteristic
1670C2#542×D7911yescharacteristic
1671C2#546×D7911yescharacteristic
1672C2#547×D7911yescharacteristic
1673C2#552×D7911yescharacteristic
1674C2#553×D7911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2470C2
prime radicalC22×D4×D79C22
hypercenter#2470D79
hypocenterC79C2×#2470
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2470

Complements

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

NH ≅ G/Ntype
2. C2×#117×D79C2semidirect
3. #23767503C2semidirect
4. #23767502C2semidirect
5. #23767501C2semidirect
6. #23767500C2semidirect
7. #23767499C2semidirect
8. #23767498C2semidirect
9. #23767497C2semidirect
10. #23767496C2semidirect
11. #23767495C2semidirect
12. #23767494C2semidirect
13. #23767493C2semidirect
14. #23767492C2semidirect
15. #23767491C2semidirect
16. #23767490C2semidirect
17. #23767489C2semidirect
18. #400×D79C2semidirect
19. #397×D79C2semidirect
20. #396×D79C2semidirect
22. #389×D79C2semidirect
23. #389×D79C2semidirect
24. #388×D79C2semidirect
25. #388×D79C2semidirect
26. #387×D79C2semidirect
28. #385×D79C2semidirect
29. #385×D79C2semidirect
30. C4×C22⋊C4×D79C2semidirect
31. C79×#2470C2semidirect
43. C2×#14579120C22semidirect
44. C2×#14579119C22semidirect
45. C2×#14579119C22semidirect
46. C2×#14579118C22semidirect
47. C2×#14579118C22semidirect
48. C2×#14579117C22semidirect
49. C2×#14579117C22semidirect
73. #19098505C22semidirect
74. #19098505C22semidirect
75. #19098504C22semidirect
76. #19098504C22semidirect
77. #19098503C22semidirect
78. #19098502C22semidirect
79. #19098501C22semidirect
80. #19098492C22semidirect
81. #19098492C22semidirect
82. #19098491C22semidirect
83. #19098491C22semidirect
84. #19098490C22semidirect
85. #19098489C22semidirect
86. #19098488C22semidirect
87. #19098487C22semidirect
88. #19098486C22semidirect
89. #19098486C22semidirect
90. #19098486C22semidirect
91. #19098485C22semidirect
92. #19098485C22semidirect
93. #19098485C22semidirect
101. #19098462C22semidirect
102. #19098462C22semidirect
103. #19098461C22semidirect
104. #19098461C22semidirect
105. #19098460C22semidirect
106. #19098460C22semidirect
107. #19098460C22semidirect
108. #19098460C22semidirect
109. #19098459C22semidirect
110. #19098459C22semidirect
111. #19098458C22semidirect
112. #19098458C22semidirect
113. #19098458C22semidirect
114. #19098458C22semidirect
115. #19098457C22semidirect
116. #19098457C22semidirect
117. #19098456C22semidirect
118. #19098456C22semidirect
119. #19098455C22semidirect
120. #19098455C22semidirect
121. #19098454C22semidirect
122. #19098454C22semidirect
123. #19098453C22semidirect
124. #19098453C22semidirect
125. #19098452C22semidirect
126. #19098452C22semidirect
127. #19098451C22semidirect
128. #19098451C22semidirect
129. #19098450C22semidirect
130. #19098449C22semidirect
131. #19098448C22semidirect
132. #19098447C22semidirect
133. #19098446C22semidirect
134. #19098445C22semidirect
135. #19098444C22semidirect
143. #19098438C22semidirect
144. #19098438C22semidirect
145. #19098437C22semidirect
146. #19098437C22semidirect
147. #19098437C22semidirect
148. #19098437C22semidirect
149. #19098436C22semidirect
150. #19098436C22semidirect
151. #19098435C22semidirect
152. #19098435C22semidirect
153. #19098434C22semidirect
154. #19098434C22semidirect
155. #19098434C22semidirect
156. #19098434C22semidirect
157. C22⋊C4×Dic79C22semidirect
158. C22⋊C4×Dic79C22semidirect
159. C4×(C2×D79)⋊C4C22semidirect
160. C4×(C2×D79)⋊C4C22semidirect
161. C4×C22⋊Dic79C22semidirect
162. #19098410C22semidirect
163. #19098410C22semidirect
175. C2×#117×C79C22semidirect
176. #400×C79C22semidirect
177. #397×C79C22semidirect
178. #396×C79C22semidirect
180. #389×C79C22semidirect
181. #389×C79C22semidirect
182. #388×C79C22semidirect
183. #388×C79C22semidirect
184. #387×C79C22semidirect
186. #385×C79C22semidirect
187. #385×C79C22semidirect
188. C4×C22⋊C4×C79C22semidirect
837. D79#2470direct (N × H)
855. #2470D79direct (N × H)
869. C79C2×#2470semidirect
890. C2×#117C2×D79semidirect
920. #400C2×D79semidirect
928. #397C2×D79semidirect
936. #396C2×D79semidirect
959. #389C2×D79semidirect
960. #389C2×D79semidirect
975. #388C2×D79semidirect
976. #388C2×D79semidirect
984. #387C2×D79semidirect
1007. #385C2×D79semidirect
1008. #385C2×D79semidirect
1016. C4×C22⋊C4C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D792
C2×#117×D792
#237675032
#237675022
#237675012
#237675002
#237674992
#237674982
#237674972
#237674962
#237674952
#237674942
#237674932
#237674922
#237674912
#237674902
#237674892
#400×D792
#397×D792
#396×D792
#394×D792
#389×D792
#388×D792
#387×D792
#386×D792
#385×D792
C4×C22⋊C4×D792
C79×#24702
C2×#247079