Finite Group Databasebeta

← #2602×D79 #34459654

Subgroups — #2602×D79 #34459654

Order 20224.

3330 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D79C211yesmaximal, characteristic, complemented
2C2×C4×D4×D79C211yesmaximal, characteristic, complemented
3#23769019C211yesmaximal, characteristic, complemented
4#23769018C211yesmaximal, characteristic, complemented
5#23769017C211yesmaximal, characteristic, complemented
6#23769016C211yesmaximal, characteristic, complemented
7#23769015C211yesmaximal, characteristic, complemented
8#23769014C211yesmaximal, characteristic, complemented
9#23769013C211yesmaximal, characteristic, complemented
10#23769012C211yesmaximal, characteristic, complemented
11#23769011C211yesmaximal, characteristic, complemented
12#23769010C211yesmaximal, characteristic, complemented
13#23769009C211yesmaximal, characteristic, complemented
14#23769008C211yesmaximal, characteristic, complemented
15#23769007C211yesmaximal, characteristic, complemented
16#23769006C211yesmaximal, characteristic, complemented
17#23769005C211yesmaximal, characteristic, complemented
18#397×D79C211yesmaximal, characteristic, complemented
19#394×D79C211yesmaximal, characteristic, complemented
20#394×D79C211yesmaximal, characteristic, complemented
21#392×D79C211yesmaximal, characteristic
22#390×D79C211yesmaximal, characteristic, complemented
23#389×D79C211yesmaximal, characteristic, complemented
24#388×D79C211yesmaximal, characteristic, complemented
25#388×D79C211yesmaximal, characteristic, complemented
26#388×D79C211yesmaximal, characteristic, complemented
27#387×D79C211yesmaximal, characteristic, complemented
28#386×D79C211yesmaximal, characteristic, complemented
29#385×D79C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D79C211yesmaximal, characteristic, complemented
31C79×#2602C211yesmaximal, characteristic, complemented
32C22×D4×D79C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34C22×D4×D79C2211yescharacteristic
35C23×C4×D79C2211yescharacteristic
36C23×C4×D79C2211yescharacteristic
37C2×#14579146C2211yescharacteristic, complemented
38C2×#14579146C2211yescharacteristic, complemented
39C2×#14579145C2211yescharacteristic, complemented
40C2×#14579144C2211yescharacteristic, complemented
41C2×#14579143C2211yescharacteristic, complemented
42C2×#14579143C2211yescharacteristic, complemented
43C2×#14579142C2211yescharacteristic, complemented
44#123×D79—28no—
45C2×C4×D316C2211yescharacteristic, complemented
46C2×D4×Dic79C2211yescharacteristic, complemented
47C2×#14579123C2211yescharacteristic, complemented
48C2×C4×C22⋊D79C2211yescharacteristic, complemented
49C2×C4×C22⋊D79C2211yescharacteristic, complemented
50C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
51C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
52C4×D4×D79—28no—
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×C22⋊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×C22⋊C4×D79C2211yescharacteristic
71C2×C22⋊C4×D79C2211yescharacteristic
72C2×C42×D79C2211yescharacteristic
73C2×C42×D79C2211yescharacteristic
74C2×C42×D79C2211yescharacteristic
75#19098492C2211yescharacteristic, complemented
76#19098492C2211yescharacteristic, complemented
77#19098491C2211yescharacteristic, complemented
78#19098491C2211yescharacteristic, complemented
79#19098490C2211yescharacteristic, complemented
80#19098489C2211yescharacteristic, complemented
81#19098488C2211yescharacteristic, complemented
82#19098481C2211yescharacteristic, complemented
83#19098481C2211yescharacteristic, complemented
84#19098480C2211yescharacteristic, complemented
85#19098480C2211yescharacteristic, complemented
86#19098479C2211yescharacteristic, complemented
87#19098479C2211yescharacteristic, complemented
88#19098479C2211yescharacteristic, complemented
89#19098479C2211yescharacteristic, complemented
90#19098478C2211yescharacteristic, complemented
91#19098478C2211yescharacteristic, complemented
92#19098478C2211yescharacteristic, complemented
93#19098478C2211yescharacteristic, complemented
94#19098477C2211yescharacteristic, complemented
95#19098477C2211yescharacteristic, complemented
96#19098473C2211yescharacteristic
97#19098472C2211yescharacteristic
98#19098472C2211yescharacteristic
99#19098472C2211yescharacteristic
100#19098471C2211yescharacteristic
101#19098471C2211yescharacteristic
102#19098471C2211yescharacteristic
103#19098466C2211yescharacteristic, complemented
104#19098465C2211yescharacteristic, complemented
105#19098464C2211yescharacteristic, complemented
106#19098463C2211yescharacteristic, complemented
107#19098463C2211yescharacteristic, complemented
108#19098463C2211yescharacteristic, complemented
109#19098463C2211yescharacteristic, complemented
110#19098462C2211yescharacteristic, complemented
111#19098461C2211yescharacteristic, complemented
112#19098460C2211yescharacteristic, complemented
113#19098460C2211yescharacteristic, complemented
114#19098459C2211yescharacteristic, complemented
115#19098458C2211yescharacteristic, complemented
116#19098458C2211yescharacteristic, complemented
117#19098457C2211yescharacteristic, complemented
118#19098457C2211yescharacteristic, complemented
119#19098457C2211yescharacteristic, complemented
120#19098456C2211yescharacteristic, complemented
121#19098456C2211yescharacteristic, complemented
122#19098456C2211yescharacteristic, complemented
123#19098455C2211yescharacteristic, complemented
124#19098455C2211yescharacteristic, complemented
125#19098455C2211yescharacteristic, complemented
126#19098454C2211yescharacteristic, complemented
127#19098454C2211yescharacteristic, complemented
128#19098454C2211yescharacteristic, complemented
129#19098453C2211yescharacteristic, complemented
130#19098453C2211yescharacteristic, complemented
131#19098453C2211yescharacteristic, complemented
132#19098452C2211yescharacteristic, complemented
133#19098452C2211yescharacteristic, complemented
134#19098452C2211yescharacteristic, complemented
135#19098451C2211yescharacteristic, complemented
136#19098451C2211yescharacteristic, complemented
137#19098451C2211yescharacteristic, complemented
138#19098450C2211yescharacteristic, complemented
139#19098449C2211yescharacteristic, complemented
140#19098448C2211yescharacteristic, complemented
141#19098447C2211yescharacteristic, complemented
142#19098446C2211yescharacteristic, complemented
143#19098445C2211yescharacteristic, complemented
144#19098444C2211yescharacteristic, complemented
145#19098443C2211yescharacteristic, complemented
146#19098442C2211yescharacteristic, complemented
147#19098441C2211yescharacteristic, complemented
148#19098441C2211yescharacteristic, complemented
149#19098440C2211yescharacteristic, complemented
150#19098439C2211yescharacteristic, complemented
151#19098439C2211yescharacteristic, complemented
152#19098438C2211yescharacteristic, complemented
153#19098437C2211yescharacteristic, complemented
154#19098437C2211yescharacteristic, complemented
155#19098436C2211yescharacteristic, complemented
156#19098435C2211yescharacteristic, complemented
157#19098434C2211yescharacteristic, complemented
158#19098434C2211yescharacteristic, complemented
159C22⋊C4×Dic79C2211yescharacteristic, complemented
160C22⋊C4×Dic79C2211yescharacteristic, complemented
161C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
163C4×C22⋊Dic79C2211yescharacteristic, complemented
164#19098410C2211yescharacteristic, complemented
165#19098410C2211yescharacteristic, complemented
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, complemented
175C2×C4×D4×C79C2211yescharacteristic, complemented
176#397×C79C2211yescharacteristic, complemented
177#394×C79C2211yescharacteristic, complemented
178#394×C79C2211yescharacteristic, complemented
179#392×C79C2211yescharacteristic
180#390×C79C2211yescharacteristic, complemented
181#389×C79C2211yescharacteristic, complemented
182#388×C79C2211yescharacteristic, complemented
183#388×C79C2211yescharacteristic, complemented
184#388×C79C2211yescharacteristic, complemented
185#387×C79C2211yescharacteristic, complemented
186#386×C79C2211yescharacteristic, complemented
187#385×C79C2211yescharacteristic, complemented
188C4×C22⋊C4×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C24×D79C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C2×D4×D79—24no—
202C2×D4×D79—24no—
203C2×D4×D79—24no—
204C2×D4×D79—24no—
205C2×D4×D79—24no—
206C2×D4×D79—24no—
207C2×D4×D79—42no—
208C2×D4×D79—42no—
209C2×D4×D79—42no—
210C23×Dic79C2311yescharacteristic
211C23×Dic79C2311yescharacteristic
212C22×C4×D79—24no—
213C22×C4×D79—42no—
214C22×C4×D79—42no—
215C22×C4×D79—42no—
216C22×C4×D79—42no—
217C22×C4×D79D418yescomplemented
218C22×C4×D79C2311yescharacteristic
219C22×C4×D79C2311yescharacteristic
220C22×C4×D79C2311yescharacteristic
221C22×C4×D79C2311yescharacteristic
222C22×C4×D79C2311yescharacteristic
223C22×C4×D79C2311yescharacteristic
224C22×C4×D79C2311yescharacteristic
225C22×C4×D79C2311yescharacteristic
226C22×C4×D79C2311yescharacteristic
227C22×C4×D79C2311yescharacteristic
228C22×C4×D79C2311yescharacteristic
229C22×C4×D79C2311yescharacteristic
230C22×C4×D79C2311yescharacteristic
231C22×C4×D79C2311yescharacteristic
232C22×C4×D79C2311yescharacteristic
233C22×C4×D79C2311yescharacteristic
234#14579146—24no—
235#14579146—24no—
236#14579145—24no—
237#14579144—24no—
238#14579143—24no—
239#14579143—24no—
240#14579142—24no—
241C4×D316—24no—
242D4×Dic79—24no—
243#14579123—24no—
244C4×C22⋊D79—24no—
245C4×C22⋊D79—24no—
246(C22⋊D79)⋊C4—24no—
247(C22⋊D79)⋊C4—24no—
248C2×C4⋊Dic79C2311yescharacteristic
249C2×C4⋊Dic79C2311yescharacteristic
250C2×C4⋊Dic79C2311yescharacteristic
251C2×C4⋊Dic79C2311yescharacteristic
252C2×C4⋊Dic79C2311yescharacteristic
253C2×C4⋊Dic79C2311yescharacteristic
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
263C2×Dic79⋊C4C2311yescharacteristic
264C2×Dic79⋊C4C2311yescharacteristic
265C2×Dic79⋊C4C2311yescharacteristic
266C4⋊C4×D79—24no—
267C4⋊C4×D79—24no—
268C4⋊C4×D79—24no—
269C4⋊C4×D79—24no—
270C4⋊C4×D79—24no—
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×C22⋊Dic79C2311yescharacteristic
283C2×C22⋊Dic79C2311yescharacteristic
284C2×C22⋊Dic79C2311yescharacteristic
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
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×(C2×D79)⋊C4C2311yescharacteristic
308C2×(C2×D79)⋊C4C2311yescharacteristic
309C2×(C2×D79)⋊C4C2311yescharacteristic
310C2×(C2×D79)⋊C4C2311yescharacteristic
311C22⋊C4×D79—24no—
312C22⋊C4×D79—24no—
313C22⋊C4×D79—24no—
314C22⋊C4×D79—24no—
315C22⋊C4×D79—24no—
316C22⋊C4×D79—24no—
317C22⋊C4×D79—24no—
318C22⋊C4×D79—24no—
319C22⋊C4×D79—24no—
320C22⋊C4×D79—24no—
321C22⋊C4×D79—24no—
322C22⋊C4×D79—42no—
323C22⋊C4×D79—42no—
324C2×C4×Dic79C2311yescharacteristic
325C2×C4×Dic79C2311yescharacteristic
326C2×C4×Dic79C2311yescharacteristic
327C2×C4×Dic79C2311yescharacteristic
328C2×C4×Dic79C2311yescharacteristic
329C2×C4×Dic79C2311yescharacteristic
330C2×C4×Dic79C2311yescharacteristic
331C2×C4×Dic79C2311yescharacteristic
332C2×C4×Dic79C2311yescharacteristic
333C42×D79—24no—
334C42×D79—42no—
335C42×D79—42no—
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
354C79⋊#95C2311yescharacteristic
355C79⋊#95C2311yescharacteristic
356C79⋊#95C2311yescharacteristic
357C79⋊#95C2311yescharacteristic
358C79⋊#95C2311yescharacteristic
359C79⋊#95C2311yescharacteristic
360C22×D4×C79C2311yescharacteristic
361C22×D4×C79C2311yescharacteristic
362C22×D4×C79C2311yescharacteristic
363C23×C4×C79C2311yescharacteristic
364C23×C4×C79C2311yescharacteristic
365#123×C79—24no—
366C4×D4×C79—24no—
367C2×C4⋊C4×C79C2311yescharacteristic
368C2×C4⋊C4×C79C2311yescharacteristic
369C2×C4⋊C4×C79C2311yescharacteristic
370C2×C4⋊C4×C79C2311yescharacteristic
371C2×C4⋊C4×C79C2311yescharacteristic
372C2×C4⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×C22⋊C4×C79C2311yescharacteristic
377C2×C22⋊C4×C79C2311yescharacteristic
378C2×C22⋊C4×C79C2311yescharacteristic
379C2×C22⋊C4×C79C2311yescharacteristic
380C2×C22⋊C4×C79C2311yescharacteristic
381C2×C22⋊C4×C79C2311yescharacteristic
382C2×C22⋊C4×C79C2311yescharacteristic
383C2×C22⋊C4×C79C2311yescharacteristic
384C2×C22⋊C4×C79C2311yescharacteristic
385C2×C22⋊C4×C79C2311yescharacteristic
386C2×C42×C79C2311yescharacteristic
387C2×C42×C79C2311yescharacteristic
388C2×C42×C79C2311yescharacteristic
389#95×C79C2311yescharacteristic
390#95×C79C2311yescharacteristic
391#95×C79C2311yescharacteristic
392#95×C79C2311yescharacteristic
393#95×C79C2311yescharacteristic
394#95×C79C2311yescharacteristic
395#95×C79C2311yescharacteristic
396#95×C79C2311yescharacteristic
397C23×D79—22no—
398C23×D79—22no—
399C23×D79—22no—
400C23×D79—22no—
401C23×D79—22no—
402C23×D79—22no—
403C23×D79—22no—
404C23×D79—22no—
405C23×D79—22no—
406C23×D79—22no—
407C23×D79—22no—
408C23×D79—22no—
409C23×D79—22no—
410C23×D79—22no—
411C23×D79—22no—
412C23×D79—22no—
413C23×D79—22no—
414C23×D79—22no—
415C23×D79—22no—
416C23×D79C2×D414yes—
417C23×D79#4114yes—
418C23×D79C2411yescharacteristic
419C23×D79C2411yescharacteristic
420C23×D79C2411yescharacteristic
421C23×D79C2411yescharacteristic
422C2×D316—22no—
423C2×D316—22no—
424C2×D316—22no—
425C2×D316—22no—
426C2×D316—22no—
427C2×D316—22no—
428C2×D316—41no—
429C2×D316—41no—
430C2×D316—41no—
431C2×C22⋊D79—22no—
432C2×C22⋊D79—22no—
433C2×C22⋊D79—22no—
434C2×C22⋊D79—22no—
435C2×C22⋊D79—22no—
436C2×C22⋊D79—22no—
437C2×C22⋊D79—22no—
438C2×C22⋊D79—22no—
439C2×C22⋊D79—22no—
440C2×C22⋊D79—22no—
441C2×C22⋊D79—22no—
442C2×C22⋊D79—22no—
443C2×C22⋊D79—41no—
444C2×C22⋊D79—41no—
445C2×C22⋊D79—41no—
446C2×C22⋊D79—41no—
447C2×C22⋊D79—41no—
448C2×C22⋊D79—41no—
449D4×D79—232no—
450D4×D79—416no—
451D4×D79—416no—
452C22×Dic79—22no—
453C22×Dic79—41no—
454C22×Dic79—41no—
455C22×Dic79—41no—
456C22×Dic79—41no—
457C22×Dic79C2×D414yescomplemented
458C22×Dic79C2411yescharacteristic
459C22×Dic79C2411yescharacteristic
460C22×Dic79C2411yescharacteristic
461C22×Dic79C2411yescharacteristic
462C22×Dic79C2411yescharacteristic
463C22×Dic79C2411yescharacteristic
464C22×Dic79C2411yescharacteristic
465C22×Dic79C2411yescharacteristic
466C22×Dic79C2411yescharacteristic
467C22×Dic79C2411yescharacteristic
468C22×Dic79C2411yescharacteristic
469C22×Dic79C2411yescharacteristic
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—22no—
483C2×C4×D79—22no—
484C2×C4×D79—22no—
485C2×C4×D79—22no—
486C2×C4×D79—22no—
487C2×C4×D79—22no—
488C2×C4×D79—22no—
489C2×C4×D79—22no—
490C2×C4×D79—22no—
491C2×C4×D79—22no—
492C2×C4×D79—22no—
493C2×C4×D79—22no—
494C2×C4×D79—22no—
495C2×C4×D79—22no—
496C2×C4×D79—22no—
497C2×C4×D79—22no—
498C2×C4×D79—22no—
499C2×C4×D79—22no—
500C2×C4×D79—22no—
501C2×C4×D79—22no—
502C2×C4×D79—22no—
503C2×C4×D79—41no—
504C2×C4×D79—41no—
505C2×C4×D79—41no—
506C2×C4×D79—41no—
507C2×C4×D79—41no—
508C2×C4×D79—41no—
509C2×C4×D79—41no—
510C2×C4×D79—41no—
511C2×C4×D79—416no—
512C2×C4×D79—416no—
513C2×C4×D79C2×D414yes—
514C2×C4×D79C2×D414yes—
515C2×C4×D79C2×D414yescomplemented
516C2×C4×D79C2×D414yescomplemented
517C2×C4×D79#4114yes—
518C2×C4×D79#4114yes—
519C2×C4×D79#4114yes—
520C4⋊Dic79—22no—
521C4⋊Dic79—22no—
522C4⋊Dic79—22no—
523C4⋊Dic79—22no—
524C4⋊Dic79—22no—
525C4⋊Dic79—41no—
526Dic79⋊C4—22no—
527Dic79⋊C4—22no—
528Dic79⋊C4—22no—
529Dic79⋊C4—22no—
530Dic79⋊C4—22no—
531Dic79⋊C4—22no—
532Dic79⋊C4—22no—
533Dic79⋊C4—22no—
534Dic79⋊C4—22no—
535Dic79⋊C4—22no—
536Dic79⋊C4—41no—
537Dic79⋊C4—41no—
538C22⋊Dic79—22no—
539C22⋊Dic79—22no—
540C22⋊Dic79—22no—
541C22⋊Dic79—22no—
542C22⋊Dic79—22no—
543C22⋊Dic79—22no—
544C22⋊Dic79—22no—
545C22⋊Dic79—22no—
546C22⋊Dic79—22no—
547C22⋊Dic79—22no—
548C22⋊Dic79—22no—
549C22⋊Dic79—41no—
550C22⋊Dic79—41no—
551(C2×D79)⋊C4—22no—
552(C2×D79)⋊C4—22no—
553(C2×D79)⋊C4—22no—
554(C2×D79)⋊C4—22no—
555(C2×D79)⋊C4—22no—
556(C2×D79)⋊C4—22no—
557(C2×D79)⋊C4—22no—
558(C2×D79)⋊C4—22no—
559(C2×D79)⋊C4—22no—
560(C2×D79)⋊C4—22no—
561(C2×D79)⋊C4—22no—
562(C2×D79)⋊C4—22no—
563(C2×D79)⋊C4—22no—
564(C2×D79)⋊C4—22no—
565(C2×D79)⋊C4—22no—
566(C2×D79)⋊C4—22no—
567(C2×D79)⋊C4—22no—
568(C2×D79)⋊C4—22no—
569(C2×D79)⋊C4—22no—
570(C2×D79)⋊C4—22no—
571(C2×D79)⋊C4—22no—
572(C2×D79)⋊C4—22no—
573(C2×D79)⋊C4—41no—
574(C2×D79)⋊C4—41no—
575(C2×D79)⋊C4—41no—
576(C2×D79)⋊C4—41no—
577C4×Dic79—22no—
578C4×Dic79—22no—
579C4×Dic79—22no—
580C4×Dic79—41no—
581C4×Dic79—41no—
582C4×Dic79—41no—
583C4×Dic79—41no—
584C4×Dic79—41no—
585C4×Dic79—41no—
586C24×C79C2411yescharacteristic
587C24×C79C2411yescharacteristic
588C24×C79C2411yescharacteristic
589C2×D4×C79—22no—
590C2×D4×C79—22no—
591C2×D4×C79—22no—
592C2×D4×C79—22no—
593C2×D4×C79—22no—
594C2×D4×C79—22no—
595C2×D4×C79—41no—
596C2×D4×C79—41no—
597C2×D4×C79—41no—
598C22×C4×C79—22no—
599C22×C4×C79—41no—
600C22×C4×C79—41no—
601C22×C4×C79—41no—
602C22×C4×C79—41no—
603C22×C4×C79C2×D414yescomplemented
604C22×C4×C79C2411yescharacteristic
605C22×C4×C79C2411yescharacteristic
606C22×C4×C79C2411yescharacteristic
607C22×C4×C79C2411yescharacteristic
608C22×C4×C79C2411yescharacteristic
609C22×C4×C79C2411yescharacteristic
610C22×C4×C79C2411yescharacteristic
611C22×C4×C79C2411yescharacteristic
612C22×C4×C79C2411yescharacteristic
613C22×C4×C79C2411yescharacteristic
614C22×C4×C79C2411yescharacteristic
615C22×C4×C79C2411yescharacteristic
616C4⋊C4×C79—22no—
617C4⋊C4×C79—22no—
618C4⋊C4×C79—22no—
619C4⋊C4×C79—22no—
620C4⋊C4×C79—22no—
621C4⋊C4×C79—41no—
622C22⋊C4×C79—22no—
623C22⋊C4×C79—22no—
624C22⋊C4×C79—22no—
625C22⋊C4×C79—22no—
626C22⋊C4×C79—22no—
627C22⋊C4×C79—22no—
628C22⋊C4×C79—22no—
629C22⋊C4×C79—22no—
630C22⋊C4×C79—22no—
631C22⋊C4×C79—22no—
632C22⋊C4×C79—22no—
633C22⋊C4×C79—41no—
634C22⋊C4×C79—41no—
635C42×C79—22no—
636C42×C79—41no—
637C42×C79—41no—
638C23×C79—21no—
639C23×C79—21no—
640C23×C79—21no—
641C23×C79—21no—
642C23×C79—21no—
643C23×C79—21no—
644C23×C79—21no—
645C23×C79—21no—
646C23×C79—21no—
647C23×C79—21no—
648C23×C79—21no—
649C23×C79—21no—
650C23×C79—21no—
651C23×C79—21no—
652C23×C79—21no—
653C23×C79—21no—
654C23×C79—21no—
655C23×C79—21no—
656C23×C79—21no—
657C23×C79C22×D412yes—
658C23×C79C2×#4112yes—
659C23×C79C2511yescharacteristic
660C22×D79—21no—
661C22×D79—21no—
662C22×D79—21no—
663C22×D79—21no—
664C22×D79—21no—
665C22×D79—21no—
666C22×D79—21no—
667C22×D79—21no—
668C22×D79—21no—
669C22×D79—21no—
670C22×D79—21no—
671C22×D79—21no—
672C22×D79—28no—
673C22×D79—28no—
674C22×D79—28no—
675C22×D79—28no—
676C22×D79—28no—
677C22×D79—28no—
678C22×D79—21no—
679C22×D79—21no—
680C22×D79—21no—
681C22×D79—21no—
682C22×D79—21no—
683C22×D79—21no—
684C22×D79—21no—
685C22×D79—44no—
686C22×D79—44no—
687C22×D79—44no—
688C22×D79—44no—
689C22×D79—44no—
690C22×D79—44no—
691C22×D79—44no—
692C22×D79—44no—
693C22×D79—44no—
694C22×D79—44no—
695C22×D79—44no—
696C22×D79—44no—
697C22×D79—44no—
698C22×D79—44no—
699C22×D79—44no—
700C22×D79C22×D412yes—
701C22×D79C22×D412yes—
702C22×D79C2×#4112yes—
703C22×D79C2×#4112yes—
704C22×D79C2×#4112yes—
705C22×D79C2×#4112yes—
706C22×D79C2×#4112yes—
707C22×D79H(5,𝔽2)12yes—
708C22×D79H(5,𝔽2)12yes—
709D4×C79—28no—
710D4×C79—44no—
711D4×C79—44no—
712C2×C4×C79—21no—
713C2×C4×C79—21no—
714C2×C4×C79—21no—
715C2×C4×C79—21no—
716C2×C4×C79—21no—
717C2×C4×C79—21no—
718C2×C4×C79—21no—
719C2×C4×C79—21no—
720C2×C4×C79—21no—
721C2×C4×C79—21no—
722C2×C4×C79—21no—
723C2×C4×C79—21no—
724C2×C4×C79—21no—
725C2×C4×C79—21no—
726C2×C4×C79—21no—
727C2×C4×C79—21no—
728C2×C4×C79—21no—
729C2×C4×C79—21no—
730C2×C4×C79—21no—
731C2×C4×C79—21no—
732C2×C4×C79—21no—
733C2×C4×C79—21no—
734C2×C4×C79—21no—
735C2×C4×C79—21no—
736C2×C4×C79—21no—
737C2×C4×C79—21no—
738C2×C4×C79—21no—
739C2×C4×C79—21no—
740C2×C4×C79—21no—
741C2×C4×C79—21no—
742C2×C4×C79—21no—
743C2×C4×C79—44no—
744C2×C4×C79—44no—
745C2×C4×C79C22×D412yes—
746C2×C4×C79C22×D412yes—
747C2×C4×C79C2×#4112yes—
748C2×C4×C79C2×#4112yes—
749C2×C4×C79C2×#4112yes—
750C22⋊D79—28no—
751C22⋊D79—28no—
752C22⋊D79—44no—
753C22⋊D79—44no—
754C22⋊D79—44no—
755C22⋊D79—44no—
756C2×Dic79—21no—
757C2×Dic79—21no—
758C2×Dic79—21no—
759C2×Dic79—21no—
760C2×Dic79—21no—
761C2×Dic79—21no—
762C2×Dic79—21no—
763C2×Dic79—21no—
764C2×Dic79—21no—
765C2×Dic79—21no—
766C2×Dic79—21no—
767C2×Dic79—21no—
768C2×Dic79—21no—
769C2×Dic79—21no—
770C2×Dic79—21no—
771C2×Dic79—21no—
772C2×Dic79—21no—
773C2×Dic79—21no—
774C2×Dic79—21no—
775C2×Dic79—21no—
776C2×Dic79—21no—
777C2×Dic79—21no—
778C2×Dic79—21no—
779C2×Dic79—21no—
780C2×Dic79—21no—
781C2×Dic79—21no—
782C2×Dic79—21no—
783C2×Dic79—21no—
784C2×Dic79—21no—
785C2×Dic79—21no—
786C2×Dic79—21no—
787C2×Dic79—44no—
788C2×Dic79—44no—
789C2×Dic79C22×D412yes—
790C2×Dic79C22×D412yes—
791C2×Dic79C2×#4112yes—
792C2×Dic79C2×#4112yes—
793C2×Dic79C2×#4112yes—
794D316—28no—
795D316—44no—
796D316—44no—
797C4×D79—28no—
798C4×D79—28no—
799C4×D79—28no—
800C4×D79—28no—
801C4×D79—28no—
802C4×D79—44no—
803C4×D79—44no—
804C4×D79—44no—
805C4×D79—44no—
806C4×D79—44no—
807C4×D79—44no—
808C4×D79—44no—
809C4×D79—44no—
810C4×D79—44no—
811C4×D79—44no—
812C4×D79—44no—
813C22×C79—22no—
814C22×C79—22no—
815C22×C79—22no—
816C22×C79—22no—
817C22×C79—22no—
818C22×C79—22no—
819C22×C79—41no—
820C22×C79—41no—
821C22×C79—41no—
822C22×C79—41no—
823C22×C79—41no—
824C22×C79—41no—
825C22×C79—41no—
826C22×C79—41no—
827C22×C79—41no—
828C22×C79—41no—
829C22×C79—41no—
830C22×C79—41no—
831C22×C79—41no—
832C22×C79—41no—
833C22×C79—41no—
834C22×C79C23×D411yescharacteristic
835C22×C79C22×#4111yescharacteristic
836C22×C79C22×#4111yescharacteristic
837C22×C79C22×#4111yescharacteristic
838C22×C79C22×#4111yescharacteristic
839C22×C79C2×H(5,𝔽2)11yescharacteristic
840C22×C79C2×H(5,𝔽2)11yescharacteristic
841C2×D79—22no—
842C2×D79—22no—
843C2×D79—22no—
844C2×D79—22no—
845C2×D79—22no—
846C2×D79—22no—
847C2×D79—41no—
848C2×D79—41no—
849C2×D79—41no—
850C2×D79—41no—
851C2×D79—41no—
852C2×D79—41no—
853C2×D79—41no—
854C2×D79—41no—
855C2×D79—416no—
856C2×D79—416no—
857C2×D79—41no—
858C2×D79—41no—
859C2×D79—41no—
860C2×D79—41no—
861C2×D79—41no—
862C2×D79—41no—
863C2×D79—41no—
864C2×D79—88no—
865C2×D79#52514yes—
866C2×D79#53214yes—
867C2×D79#53414yes—
868C2×D79#55114yes—
869C2×D79#55314yes—
870C2×D79#55314yes—
871C2×D79#55914yes—
872C4×C79—22no—
873C4×C79—22no—
874C4×C79—22no—
875C4×C79—22no—
876C4×C79—22no—
877C4×C79—41no—
878C4×C79—41no—
879C4×C79—41no—
880C4×C79—41no—
881C4×C79—41no—
882C4×C79—41no—
883C4×C79—41no—
884Dic79—22no—
885Dic79—22no—
886Dic79—22no—
887Dic79—22no—
888Dic79—22no—
889Dic79—41no—
890Dic79—41no—
891Dic79—41no—
892Dic79—41no—
893Dic79—41no—
894Dic79—41no—
895Dic79—41no—
896C2×#2602—791nomaximal, Sylow
897C2×C79—42no—
898C2×C79—42no—
899C2×C79—81no—
900C2×C79C2×#52511yescharacteristic
901C2×C79C2×#53211yescharacteristic
902C2×C79C2×#53411yescharacteristic
903C2×C79C2×#55111yescharacteristic
904C2×C79C2×#55311yescharacteristic
905C2×C79C2×#55311yescharacteristic
906C2×C79C2×#55911yescharacteristic
907D79—42no—
908D79—42no—
909D79—81no—
910D79#260218yesdirect product factor
911C22×#123—791no—
912C22×C4×D4—791no—
913#2602—791no—
914#2602—791no—
915#2602—791no—
916#2602—791no—
917#2602—791no—
918#2602—791no—
919#2602—791no—
920#2602—791no—
921#2602—791no—
922#2602—791no—
923#2602—791no—
924#2602—791no—
925#2602—791no—
926#2602—791no—
927#2602—791no—
928#2602D7911yescharacteristic, direct product factor
929C2×#397—791no—
930C2×#394—791no—
931C2×#394—791no—
932C2×#392—791no—
933C2×#390—791no—
934C2×#389—791no—
935C2×#388—791no—
936C2×#388—791no—
937C2×#388—791no—
938C2×#387—791no—
939C2×#386—791no—
940C2×#385—791no—
941C2×C4×C22⋊C4—791no—
942C79C2×#260211yescharacteristic, complemented, Sylow
943C23×D4—791no—
944C23×D4—791no—
945C23×D4—791no—
946C24×C4—791no—
947C24×C4—791no—
948C2×#123—791no—
949C2×#123—791no—
950C2×#123—791no—
951C2×#123—791no—
952C2×#123—791no—
953C2×#123—791no—
954C2×#123—791no—
955C2×#123—1588no—
956C2×#123C2×D7911yescharacteristic, complemented
957C2×C4×D4—791no—
958C2×C4×D4—791no—
959C2×C4×D4—791no—
960C2×C4×D4—791no—
961C2×C4×D4—791no—
962C2×C4×D4—791no—
963C2×C4×D4—791no—
964C2×C4×D4—1588no—
965C2×C4×D4C2×D7911yescharacteristic, complemented
966C22×C4⋊C4—791no—
967C22×C4⋊C4—791no—
968C22×C4⋊C4—791no—
969C22×C4⋊C4—791no—
970C22×C4⋊C4—791no—
971C22×C4⋊C4—791no—
972C22×C22⋊C4—791no—
973C22×C22⋊C4—791no—
974C22×C22⋊C4—791no—
975C22×C22⋊C4—791no—
976C22×C22⋊C4—791no—
977C22×C22⋊C4—791no—
978C22×C22⋊C4—791no—
979C22×C22⋊C4—791no—
980C22×C22⋊C4—791no—
981C22×C22⋊C4—791no—
982C22×C22⋊C4—791no—
983C22×C22⋊C4—791no—
984C22×C22⋊C4—791no—
985C22×C42—791no—
986C22×C42—791no—
987C22×C42—791no—
988#397—791no—
989#397—791no—
990#397—791no—
991#397—791no—
992#397—791no—
993#397—791no—
994#397—791no—
995#397C2×D7911yescharacteristic, complemented
996#394—791no—
997#394—791no—
998#394—791no—
999#394—791no—
1000#394—791no—
1001#394—791no—
1002#394—791no—
1003#394—791no—
1004#394—791no—
1005#394—791no—
1006#394—791no—
1007#394—791no—
1008#394—791no—
1009#394—791no—
1010#394C2×D7911yescharacteristic, complemented
1011#394C2×D7911yescharacteristic, complemented
1012#392—791no—
1013#392—791no—
1014#392—791no—
1015#392—791no—
1016#392—791no—
1017#392—791no—
1018#392—791no—
1019#392C2×D7911yescharacteristic
1020#390—791no—
1021#390—791no—
1022#390—791no—
1023#390—791no—
1024#390—791no—
1025#390—791no—
1026#390—791no—
1027#390C2×D7911yescharacteristic, complemented
1028#389—791no—
1029#389—791no—
1030#389—791no—
1031#389—791no—
1032#389—791no—
1033#389—791no—
1034#389—791no—
1035#389C2×D7911yescharacteristic, complemented
1036#388—791no—
1037#388—791no—
1038#388—791no—
1039#388—791no—
1040#388—791no—
1041#388—791no—
1042#388—791no—
1043#388—791no—
1044#388—791no—
1045#388—791no—
1046#388—791no—
1047#388—791no—
1048#388—791no—
1049#388—791no—
1050#388—791no—
1051#388—791no—
1052#388—791no—
1053#388—791no—
1054#388—791no—
1055#388—791no—
1056#388—791no—
1057#388C2×D7911yescharacteristic, complemented
1058#388C2×D7911yescharacteristic, complemented
1059#388C2×D7911yescharacteristic, complemented
1060#387—791no—
1061#387—791no—
1062#387—791no—
1063#387—791no—
1064#387—791no—
1065#387—791no—
1066#387—791no—
1067#387C2×D7911yescharacteristic, complemented
1068#386—791no—
1069#386—791no—
1070#386—791no—
1071#386—791no—
1072#386—791no—
1073#386—791no—
1074#386—791no—
1075#386C2×D7911yescharacteristic, complemented
1076#385—791no—
1077#385—791no—
1078#385—791no—
1079#385—791no—
1080#385—791no—
1081#385—791no—
1082#385—791no—
1083#385C2×D7911yescharacteristic, complemented
1084C4×C22⋊C4—791no—
1085C4×C22⋊C4—791no—
1086C4×C22⋊C4—791no—
1087C4×C22⋊C4—791no—
1088C4×C22⋊C4—791no—
1089C4×C22⋊C4—791no—
1090C4×C22⋊C4—791no—
1091C4×C22⋊C4C2×D7911yescharacteristic, complemented
1092C2×#95—791no—
1093C2×#95—791no—
1094C2×#95—791no—
1095C2×#95—791no—
1096C2×#95—791no—
1097C2×#95—791no—
1098C2×#95—791no—
1099C2×#95—791no—
1100C25—791no—
1101C25—791no—
1102C25—791no—
1103C22×D4—3162no—
1104C22×D4—3162no—
1105C22×D4—3162no—
1106C22×D4—791no—
1107C22×D4—791no—
1108C22×D4—791no—
1109C22×D4—791no—
1110C22×D4—791no—
1111C22×D4—791no—
1112C22×D4—791no—
1113C22×D4—791no—
1114C22×D4—791no—
1115C22×D4—1584no—
1116C22×D4—1584no—
1117C22×D4—1584no—
1118C22×D4—1584no—
1119C22×D4—1584no—
1120C22×D4—1584no—
1121C22×D4C22×D7911yescharacteristic
1122C22×D4C22×D7911yescharacteristic
1123C22×D4C22×D7911yescharacteristic
1124C23×C4—3162no—
1125C23×C4—3162no—
1126C23×C4—3162no—
1127C23×C4—3162no—
1128C23×C4—791no—
1129C23×C4—798no—
1130C23×C4—791no—
1131C23×C4—791no—
1132C23×C4—791no—
1133C23×C4—791no—
1134C23×C4—791no—
1135C23×C4—791no—
1136C23×C4—791no—
1137C23×C4—791no—
1138C23×C4—791no—
1139C23×C4—791no—
1140C23×C4—791no—
1141C23×C4—791no—
1142C23×C4—791no—
1143C23×C4—791no—
1144C23×C4—791no—
1145C23×C4—791no—
1146C23×C4—791no—
1147C23×C4—1584no—
1148C23×C4C22×D7911yescharacteristic
1149C23×C4C22×D7911yescharacteristic
1150#123—24no—
1151#123—1584no—
1152#123—1584no—
1153#123—1584no—
1154#123—1584no—
1155#123—1584no—
1156#123—1584no—
1157#123—1584no—
1158C4×D4—24no—
1159C4×D4—1584no—
1160C4×D4—1584no—
1161C4×D4—1584no—
1162C4×D4—1584no—
1163C4×D4—1584no—
1164C4×D4—1584no—
1165C4×D4—1584no—
1166C2×C4⋊C4—3162no—
1167C2×C4⋊C4—791no—
1168C2×C4⋊C4—791no—
1169C2×C4⋊C4—791no—
1170C2×C4⋊C4—791no—
1171C2×C4⋊C4—791no—
1172C2×C4⋊C4—791no—
1173C2×C4⋊C4—791no—
1174C2×C4⋊C4—791no—
1175C2×C4⋊C4—791no—
1176C2×C4⋊C4—791no—
1177C2×C4⋊C4—791no—
1178C2×C4⋊C4—791no—
1179C2×C4⋊C4—791no—
1180C2×C4⋊C4—791no—
1181C2×C4⋊C4—791no—
1182C2×C4⋊C4—791no—
1183C2×C4⋊C4—791no—
1184C2×C4⋊C4—791no—
1185C2×C4⋊C4—1584no—
1186C2×C4⋊C4—1584no—
1187C2×C4⋊C4—1584no—
1188C2×C4⋊C4—1584no—
1189C2×C4⋊C4—1584no—
1190C2×C4⋊C4C22×D7911yescharacteristic
1191C2×C4⋊C4C22×D7911yescharacteristic
1192C2×C4⋊C4C22×D7911yescharacteristic
1193C2×C4⋊C4C22×D7911yescharacteristic
1194C2×C4⋊C4C22×D7911yescharacteristic
1195C2×C4⋊C4C22×D7911yescharacteristic
1196C2×C22⋊C4—3162no—
1197C2×C22⋊C4—3162no—
1198C2×C22⋊C4—791no—
1199C2×C22⋊C4—791no—
1200C2×C22⋊C4—791no—
1201C2×C22⋊C4—791no—
1202C2×C22⋊C4—791no—
1203C2×C22⋊C4—791no—
1204C2×C22⋊C4—791no—
1205C2×C22⋊C4—791no—
1206C2×C22⋊C4—791no—
1207C2×C22⋊C4—791no—
1208C2×C22⋊C4—791no—
1209C2×C22⋊C4—791no—
1210C2×C22⋊C4—791no—
1211C2×C22⋊C4—791no—
1212C2×C22⋊C4—791no—
1213C2×C22⋊C4—791no—
1214C2×C22⋊C4—791no—
1215C2×C22⋊C4—791no—
1216C2×C22⋊C4—791no—
1217C2×C22⋊C4—791no—
1218C2×C22⋊C4—791no—
1219C2×C22⋊C4—791no—
1220C2×C22⋊C4—791no—
1221C2×C22⋊C4—791no—
1222C2×C22⋊C4—791no—
1223C2×C22⋊C4—791no—
1224C2×C22⋊C4—791no—
1225C2×C22⋊C4—791no—
1226C2×C22⋊C4—791no—
1227C2×C22⋊C4—791no—
1228C2×C22⋊C4—791no—
1229C2×C22⋊C4—791no—
1230C2×C22⋊C4—791no—
1231C2×C22⋊C4—791no—
1232C2×C22⋊C4—791no—
1233C2×C22⋊C4—791no—
1234C2×C22⋊C4—791no—
1235C2×C22⋊C4—791no—
1236C2×C22⋊C4—791no—
1237C2×C22⋊C4—1584no—
1238C2×C22⋊C4—1584no—
1239C2×C22⋊C4—1584no—
1240C2×C22⋊C4—1584no—
1241C2×C22⋊C4—1584no—
1242C2×C22⋊C4—1584no—
1243C2×C22⋊C4—1584no—
1244C2×C22⋊C4—1584no—
1245C2×C22⋊C4—1584no—
1246C2×C22⋊C4—1584no—
1247C2×C22⋊C4—1584no—
1248C2×C22⋊C4C22×D7911yescharacteristic
1249C2×C22⋊C4C22×D7911yescharacteristic
1250C2×C22⋊C4C22×D7911yescharacteristic
1251C2×C22⋊C4C22×D7911yescharacteristic
1252C2×C22⋊C4C22×D7911yescharacteristic
1253C2×C22⋊C4C22×D7911yescharacteristic
1254C2×C22⋊C4C22×D7911yescharacteristic
1255C2×C22⋊C4C22×D7911yescharacteristic
1256C2×C22⋊C4C22×D7911yescharacteristic
1257C2×C22⋊C4C22×D7911yescharacteristic
1258C2×C22⋊C4C22×D7911yescharacteristic
1259C2×C22⋊C4C22×D7911yescharacteristic
1260C2×C22⋊C4C22×D7911yescharacteristic
1261C2×C42—3162no—
1262C2×C42—3162no—
1263C2×C42—791no—
1264C2×C42—791no—
1265C2×C42—791no—
1266C2×C42—791no—
1267C2×C42—791no—
1268C2×C42—791no—
1269C2×C42—791no—
1270C2×C42—791no—
1271C2×C42—791no—
1272C2×C42—1584no—
1273C2×C42C22×D7911yescharacteristic
1274C2×C42C22×D7911yescharacteristic
1275C2×C42C22×D7911yescharacteristic
1276#95—791no—
1277#95—791no—
1278#95—791no—
1279#95—791no—
1280#95—791no—
1281#95—791no—
1282#95—791no—
1283#95—791no—
1284#95—791no—
1285#95—791no—
1286#95—791no—
1287#95—791no—
1288#95—791no—
1289#95—791no—
1290#95—791no—
1291#95—791no—
1292#95—791no—
1293#95—791no—
1294#95—791no—
1295#95—791no—
1296#95—791no—
1297#95—791no—
1298#95—791no—
1299#95—791no—
1300#95C22×D7911yescharacteristic
1301#95C22×D7911yescharacteristic
1302#95C22×D7911yescharacteristic
1303#95C22×D7911yescharacteristic
1304#95C22×D7911yescharacteristic
1305#95C22×D7911yescharacteristic
1306#95C22×D7911yescharacteristic
1307#95C22×D7911yescharacteristic
1308C24—791no—
1309C24—794no—
1310C24—791no—
1311C24—791no—
1312C24—794no—
1313C24—791no—
1314C24—1582no—
1315C24—1582no—
1316C24—1582no—
1317C24—1582no—
1318C24—1582no—
1319C24—1582no—
1320C24—1582no—
1321C24—1582no—
1322C24—1582no—
1323C24—1582no—
1324C24—1582no—
1325C24—1582no—
1326C24—1582no—
1327C24—1582no—
1328C24—1582no—
1329C24—1582no—
1330C24—1582no—
1331C24—1582no—
1332C24—1582no—
1333C24C23×D7911yescharacteristic
1334C24C23×D7911yescharacteristic
1335C24C23×D7911yescharacteristic
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—3161no—
1346C2×D4—3161no—
1347C2×D4—3161no—
1348C2×D4—31616no—
1349C2×D4—31616no—
1350C2×D4—3161no—
1351C2×D4—3161no—
1352C2×D4—3161no—
1353C2×D4—3161no—
1354C2×D4—3161no—
1355C2×D4—3161no—
1356C2×D4—1582no—
1357C2×D4—1582no—
1358C2×D4—1582no—
1359C2×D4—1582no—
1360C2×D4—1582no—
1361C2×D4—1582no—
1362C2×D4—1582no—
1363C2×D4—1582no—
1364C2×D4—15832no—
1365C2×D4—1582no—
1366C2×D4—1582no—
1367C2×D4—1582no—
1368C2×D4—1582no—
1369C2×D4—1582no—
1370C2×D4—1582no—
1371C2×D4—1582no—
1372C2×D4—1582no—
1373C2×D4—1582no—
1374C2×D4—1582no—
1375C22×C4—22no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
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—31616no—
1389C22×C4—31616no—
1390C22×C4—3161no—
1391C22×C4—3161no—
1392C22×C4—3161no—
1393C22×C4—3161no—
1394C22×C4—794no—
1395C22×C4—794no—
1396C22×C4—794no—
1397C22×C4—791no—
1398C22×C4—791no—
1399C22×C4—791no—
1400C22×C4—791no—
1401C22×C4—791no—
1402C22×C4—794no—
1403C22×C4—794no—
1404C22×C4—794no—
1405C22×C4—794no—
1406C22×C4—794no—
1407C22×C4—791no—
1408C22×C4—791no—
1409C22×C4—791no—
1410C22×C4—791no—
1411C22×C4—791no—
1412C22×C4—791no—
1413C22×C4—791no—
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×C4—1582no—
1428C22×C4—1582no—
1429C22×C4—1582no—
1430C22×C4—1582no—
1431C22×C4—1582no—
1432C22×C4—1582no—
1433C22×C4—1582no—
1434C22×C4—1582no—
1435C22×C4—1582no—
1436C22×C4—1582no—
1437C22×C4—1582no—
1438C22×C4—1582no—
1439C22×C4—1582no—
1440C22×C4—1582no—
1441C22×C4—1582no—
1442C22×C4—1582no—
1443C22×C4—1582no—
1444C22×C4—1582no—
1445C22×C4—1582no—
1446C22×C4—1582no—
1447C22×C4—1582no—
1448C22×C4D4×D7914yescomplemented
1449C22×C4C23×D7911yescharacteristic
1450C22×C4C23×D7911yescharacteristic
1451C22×C4C23×D7911yescharacteristic
1452C22×C4C23×D7911yescharacteristic
1453C22×C4C23×D7911yescharacteristic
1454C22×C4C23×D7911yescharacteristic
1455C22×C4C23×D7911yescharacteristic
1456C22×C4C23×D7911yescharacteristic
1457C22×C4C23×D7911yescharacteristic
1458C22×C4C23×D7911yescharacteristic
1459C22×C4C23×D7911yescharacteristic
1460C22×C4C23×D7911yescharacteristic
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—41no—
1467C4⋊C4—3161no—
1468C4⋊C4—3161no—
1469C4⋊C4—3161no—
1470C4⋊C4—1582no—
1471C4⋊C4—1582no—
1472C4⋊C4—1582no—
1473C4⋊C4—1582no—
1474C4⋊C4—1582no—
1475C4⋊C4—1582no—
1476C4⋊C4—1582no—
1477C4⋊C4—1582no—
1478C4⋊C4—1582no—
1479C4⋊C4—1582no—
1480C4⋊C4—1582no—
1481C4⋊C4—1582no—
1482C4⋊C4—1582no—
1483C4⋊C4—1582no—
1484C4⋊C4—1582no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C22⋊C4—3161no—
1499C22⋊C4—3161no—
1500C22⋊C4—3161no—
1501C22⋊C4—3161no—
1502C22⋊C4—3161no—
1503C22⋊C4—3161no—
1504C22⋊C4—1582no—
1505C22⋊C4—1582no—
1506C22⋊C4—1582no—
1507C22⋊C4—1582no—
1508C22⋊C4—1582no—
1509C22⋊C4—1582no—
1510C22⋊C4—1582no—
1511C22⋊C4—1582no—
1512C22⋊C4—1582no—
1513C22⋊C4—1582no—
1514C22⋊C4—1582no—
1515C22⋊C4—1582no—
1516C22⋊C4—1582no—
1517C22⋊C4—1582no—
1518C22⋊C4—1582no—
1519C22⋊C4—1582no—
1520C22⋊C4—1582no—
1521C22⋊C4—1582no—
1522C22⋊C4—1582no—
1523C22⋊C4—1582no—
1524C22⋊C4—1582no—
1525C22⋊C4—1582no—
1526C22⋊C4—1582no—
1527C22⋊C4—1582no—
1528C22⋊C4—1582no—
1529C22⋊C4—1582no—
1530C22⋊C4—1582no—
1531C22⋊C4—1582no—
1532C22⋊C4—1582no—
1533C22⋊C4—1582no—
1534C22⋊C4—1582no—
1535C22⋊C4—1582no—
1536C22⋊C4—1582no—
1537C42—22no—
1538C42—41no—
1539C42—41no—
1540C42—3161no—
1541C42—3161no—
1542C42—3161no—
1543C42—3161no—
1544C42—3161no—
1545C42—3161no—
1546C42—1582no—
1547C42—1582no—
1548C42—1582no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—3164no—
1569C23—3164no—
1570C23—3164no—
1571C23—3164no—
1572C23—3164no—
1573C23—3164no—
1574C23—3164no—
1575C23—3164no—
1576C23—3164no—
1577C23—3164no—
1578C23—3164no—
1579C23—3164no—
1580C23—3164no—
1581C23—3164no—
1582C23—3164no—
1583C23—792no—
1584C23—792no—
1585C23—792no—
1586C23—792no—
1587C23—792no—
1588C23—792no—
1589C23—792no—
1590C23—792no—
1591C23—792no—
1592C23—1588no—
1593C23—1588no—
1594C23—1588no—
1595C23—1588no—
1596C23—1588no—
1597C23—1588no—
1598C23—1581no—
1599C23—1581no—
1600C23—1581no—
1601C23—1581no—
1602C23—1581no—
1603C23—1581no—
1604C23—1581no—
1605C23—1581no—
1606C23—1581no—
1607C23—1581no—
1608C23—1581no—
1609C23—1581no—
1610C23—1581no—
1611C23—1581no—
1612C23—1581no—
1613C23—1581no—
1614C23—1581no—
1615C23—1581no—
1616C23—1581no—
1617C23C2×D4×D7912yes—
1618C23#41×D7912yes—
1619C23C24×D7911yescharacteristic
1620D4—28no—
1621D4—44no—
1622D4—44no—
1623D4—3164no—
1624D4—3164no—
1625D4—3164no—
1626D4—3164no—
1627D4—3164no—
1628D4—3164no—
1629D4—1588no—
1630D4—1588no—
1631D4—1588no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—3164no—
1666C2×C4—3164no—
1667C2×C4—3164no—
1668C2×C4—3164no—
1669C2×C4—3164no—
1670C2×C4—3164no—
1671C2×C4—3164no—
1672C2×C4—3164no—
1673C2×C4—3164no—
1674C2×C4—3164no—
1675C2×C4—3164no—
1676C2×C4—3164no—
1677C2×C4—3164no—
1678C2×C4—792no—
1679C2×C4—792no—
1680C2×C4—792no—
1681C2×C4—792no—
1682C2×C4—792no—
1683C2×C4—1588no—
1684C2×C4—1588no—
1685C2×C4—1588no—
1686C2×C4—1588no—
1687C2×C4—1588no—
1688C2×C4—1581no—
1689C2×C4—1581no—
1690C2×C4—1581no—
1691C2×C4—1581no—
1692C2×C4—1581no—
1693C2×C4—1581no—
1694C2×C4—1581no—
1695C2×C4—1581no—
1696C2×C4—1581no—
1697C2×C4—1581no—
1698C2×C4—1581no—
1699C2×C4—1581no—
1700C2×C4—1581no—
1701C2×C4—1581no—
1702C2×C4—1581no—
1703C2×C4—1581no—
1704C2×C4—1581no—
1705C2×C4—1581no—
1706C2×C4—1581no—
1707C2×C4—1581no—
1708C2×C4—1581no—
1709C2×C4—1581no—
1710C2×C4—1581no—
1711C2×C4—1581no—
1712C2×C4—1581no—
1713C2×C4—1581no—
1714C2×C4—1581no—
1715C2×C4—1581no—
1716C2×C4—1581no—
1717C2×C4—1581no—
1718C2×C4—1581no—
1719C2×C4C2×D4×D7912yes—
1720C2×C4C2×D4×D7912yes—
1721C2×C4#41×D7912yes—
1722C2×C4#41×D7912yes—
1723C2×C4#41×D7912yes—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—31616no—
1746C22—31616no—
1747C22—3161no—
1748C22—3161no—
1749C22—3161no—
1750C22—3161no—
1751C22—3161no—
1752C22—3161no—
1753C22—3161no—
1754C22—3161no—
1755C22—3161no—
1756C22—3161no—
1757C22—3161no—
1758C22—3161no—
1759C22—3161no—
1760C22—3161no—
1761C22—3161no—
1762C22—794no—
1763C22—794no—
1764C22—794no—
1765C22—794no—
1766C22—794no—
1767C22—794no—
1768C22—794no—
1769C22—6328no—
1770C22—1582no—
1771C22—1582no—
1772C22—1582no—
1773C22—1582no—
1774C22—1582no—
1775C22—1582no—
1776C22C22×D4×D7911yescharacteristic
1777C22C2×#41×D7911yescharacteristic
1778C22C2×#41×D7911yescharacteristic
1779C22C2×#41×D7911yescharacteristic
1780C22C2×#41×D7911yescharacteristic
1781C22H(5,𝔽2)×D7911yescharacteristic
1782C22H(5,𝔽2)×D7911yescharacteristic
1783C4—22no—
1784C4—22no—
1785C4—22no—
1786C4—22no—
1787C4—22no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—3161no—
1796C4—3161no—
1797C4—3161no—
1798C4—3161no—
1799C4—3161no—
1800C4—3161no—
1801C4—3161no—
1802C4—1582no—
1803C4—1582no—
1804C4—1582no—
1805C4—1582no—
1806C4—1582no—
1807C2—42no—
1808C2—42no—
1809C2—81no—
1810C2—3162no—
1811C2—3162no—
1812C2—798no—
1813C2—6321no—
1814C2#525×D7911yescharacteristic
1815C2#532×D7911yescharacteristic
1816C2#534×D7911yescharacteristic
1817C2#551×D7911yescharacteristic
1818C2#553×D7911yescharacteristic
1819C2#553×D7911yescharacteristic
1820C2#559×D7911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2602C2
prime radical#392×D79C2
hypercenter#2602D79
hypocenterC79C2×#2602
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2602

Complements

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

NH ≅ G/Ntype
1. C2×#123×D79C2semidirect
2. C2×C4×D4×D79C2semidirect
3. #23769019C2semidirect
4. #23769018C2semidirect
5. #23769017C2semidirect
6. #23769016C2semidirect
7. #23769015C2semidirect
8. #23769014C2semidirect
9. #23769013C2semidirect
10. #23769012C2semidirect
11. #23769011C2semidirect
12. #23769010C2semidirect
13. #23769009C2semidirect
14. #23769008C2semidirect
15. #23769007C2semidirect
16. #23769006C2semidirect
17. #23769005C2semidirect
18. #397×D79C2semidirect
19. #394×D79C2semidirect
20. #394×D79C2semidirect
22. #390×D79C2semidirect
23. #389×D79C2semidirect
24. #388×D79C2semidirect
25. #388×D79C2semidirect
26. #388×D79C2semidirect
27. #387×D79C2semidirect
28. #386×D79C2semidirect
29. #385×D79C2semidirect
30. C4×C22⋊C4×D79C2semidirect
31. C79×#2602C2semidirect
37. C2×#14579146C22semidirect
38. C2×#14579146C22semidirect
39. C2×#14579145C22semidirect
40. C2×#14579144C22semidirect
41. C2×#14579143C22semidirect
42. C2×#14579143C22semidirect
43. C2×#14579142C22semidirect
45. C2×C4×D316C22semidirect
46. C2×D4×Dic79C22semidirect
47. C2×#14579123C22semidirect
48. C2×C4×C22⋊D79C22semidirect
49. C2×C4×C22⋊D79C22semidirect
50. C2×(C22⋊D79)⋊C4C22semidirect
51. C2×(C22⋊D79)⋊C4C22semidirect
75. #19098492C22semidirect
76. #19098492C22semidirect
77. #19098491C22semidirect
78. #19098491C22semidirect
79. #19098490C22semidirect
80. #19098489C22semidirect
81. #19098488C22semidirect
82. #19098481C22semidirect
83. #19098481C22semidirect
84. #19098480C22semidirect
85. #19098480C22semidirect
86. #19098479C22semidirect
87. #19098479C22semidirect
88. #19098479C22semidirect
89. #19098479C22semidirect
90. #19098478C22semidirect
91. #19098478C22semidirect
92. #19098478C22semidirect
93. #19098478C22semidirect
94. #19098477C22semidirect
95. #19098477C22semidirect
103. #19098466C22semidirect
104. #19098465C22semidirect
105. #19098464C22semidirect
106. #19098463C22semidirect
107. #19098463C22semidirect
108. #19098463C22semidirect
109. #19098463C22semidirect
110. #19098462C22semidirect
111. #19098461C22semidirect
112. #19098460C22semidirect
113. #19098460C22semidirect
114. #19098459C22semidirect
115. #19098458C22semidirect
116. #19098458C22semidirect
117. #19098457C22semidirect
118. #19098457C22semidirect
119. #19098457C22semidirect
120. #19098456C22semidirect
121. #19098456C22semidirect
122. #19098456C22semidirect
123. #19098455C22semidirect
124. #19098455C22semidirect
125. #19098455C22semidirect
126. #19098454C22semidirect
127. #19098454C22semidirect
128. #19098454C22semidirect
129. #19098453C22semidirect
130. #19098453C22semidirect
131. #19098453C22semidirect
132. #19098452C22semidirect
133. #19098452C22semidirect
134. #19098452C22semidirect
135. #19098451C22semidirect
136. #19098451C22semidirect
137. #19098451C22semidirect
138. #19098450C22semidirect
139. #19098449C22semidirect
140. #19098448C22semidirect
141. #19098447C22semidirect
142. #19098446C22semidirect
143. #19098445C22semidirect
144. #19098444C22semidirect
145. #19098443C22semidirect
146. #19098442C22semidirect
147. #19098441C22semidirect
148. #19098441C22semidirect
149. #19098440C22semidirect
150. #19098439C22semidirect
151. #19098439C22semidirect
152. #19098438C22semidirect
153. #19098437C22semidirect
154. #19098437C22semidirect
155. #19098436C22semidirect
156. #19098435C22semidirect
157. #19098434C22semidirect
158. #19098434C22semidirect
159. C22⋊C4×Dic79C22semidirect
160. C22⋊C4×Dic79C22semidirect
161. C4×(C2×D79)⋊C4C22semidirect
162. C4×(C2×D79)⋊C4C22semidirect
163. C4×C22⋊Dic79C22semidirect
164. #19098410C22semidirect
165. #19098410C22semidirect
174. C2×#123×C79C22semidirect
175. C2×C4×D4×C79C22semidirect
176. #397×C79C22semidirect
177. #394×C79C22semidirect
178. #394×C79C22semidirect
180. #390×C79C22semidirect
181. #389×C79C22semidirect
182. #388×C79C22semidirect
183. #388×C79C22semidirect
184. #388×C79C22semidirect
185. #387×C79C22semidirect
186. #386×C79C22semidirect
187. #385×C79C22semidirect
188. C4×C22⋊C4×C79C22semidirect
217. C22×C4×D79D4semidirect
457. C22×Dic79C2×D4semidirect
515. C2×C4×D79C2×D4semidirect
516. C2×C4×D79C2×D4semidirect
603. C22×C4×C79C2×D4semidirect
910. D79#2602direct (N × H)
928. #2602D79direct (N × H)
942. C79C2×#2602semidirect
956. C2×#123C2×D79semidirect
965. C2×C4×D4C2×D79semidirect
995. #397C2×D79semidirect
1010. #394C2×D79semidirect
1011. #394C2×D79semidirect
1027. #390C2×D79semidirect
1035. #389C2×D79semidirect
1057. #388C2×D79semidirect
1058. #388C2×D79semidirect
1059. #388C2×D79semidirect
1067. #387C2×D79semidirect
1075. #386C2×D79semidirect
1083. #385C2×D79semidirect
1091. C4×C22⋊C4C2×D79semidirect
1448. C22×C4D4×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×C4×D4×D792
#237690192
#237690182
#237690172
#237690162
#237690152
#237690142
#237690132
#237690122
#237690112
#237690102
#237690092
#237690082
#237690072
#237690062
#237690052
#397×D792
#394×D792
#392×D792
#390×D792
#389×D792
#388×D792
#387×D792
#386×D792
#385×D792
C4×C22⋊C4×D792
C79×#26022
C2×#260279