Finite Group Databasebeta

← #34497139

Subgroups — #34497139

Order 20224.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771692C211yesmaximal, characteristic, complemented
2#23771238C211yesmaximal, characteristic, complemented
3#23770791C211yesmaximal, characteristic, complemented
4#23770740C211yesmaximal, characteristic, complemented
5#23770657C211yesmaximal, characteristic, complemented
6#23770451C211yesmaximal, characteristic, complemented
7#23770391C211yesmaximal, characteristic, complemented
8#23770313C211yesmaximal, characteristic, complemented
9#23770208C211yesmaximal, characteristic, complemented
10#23770168C211yesmaximal, characteristic, complemented
11#23770146C211yesmaximal, characteristic, complemented
12#23770073C211yesmaximal, characteristic, complemented
13#23770014C211yesmaximal, characteristic, complemented
14#23769994C211yesmaximal, characteristic, complemented
15#23769879C211yesmaximal, characteristic, complemented
16#23769803C211yesmaximal, characteristic, complemented
17#23769647C211yesmaximal, characteristic, complemented
18#23769211C211yesmaximal, characteristic, complemented
19#23769178C211yesmaximal, characteristic, complemented
20#23768578C211yesmaximal, characteristic, complemented
21#23768408C211yesmaximal, characteristic, complemented
22#23767651C211yesmaximal, characteristic, complemented
23#23767645C211yesmaximal, characteristic, complemented
24#23767533C211yesmaximal, characteristic, complemented
25#23767523C211yesmaximal, characteristic, complemented
26#23767049C211yesmaximal, characteristic, complemented
27#23766755C211yesmaximal, characteristic
28#23766131C211yesmaximal, characteristic, complemented
29#23766028C211yesmaximal, characteristic, complemented
30C2×#19098442C211yesmaximal, characteristic, complemented
31C79×#2848C211yesmaximal, characteristic, complemented
32C23×C22⋊D79C2211yescharacteristic
33C2×#14579156C2211yescharacteristic, complemented
34C2×#14579154C2211yescharacteristic, complemented
35C2×#14579150C2211yescharacteristic, complemented
36C2×#14579147C2211yescharacteristic
37C2×#14579147C2211yescharacteristic
38C2×#14579147C2211yescharacteristic, complemented
39C2×#14579144C2211yescharacteristic, complemented
40C2×#14579144C2211yescharacteristic, complemented
41C2×#14579138C2211yescharacteristic
42C2×#14579138C2211yescharacteristic
43C2×#14579134C2211yescharacteristic
44C2×#14579134C2211yescharacteristic
45C2×#14579131C2211yescharacteristic
46C2×#14579130C2211yescharacteristic
47C2×(C22⋊D79)⋊C4C2211yescharacteristic
48C22×C22⋊Dic79C2211yescharacteristic
49C22×(C2×D79)⋊C4C2211yescharacteristic
50C22×(C2×D79)⋊C4C2211yescharacteristic
51#19098504C2211yescharacteristic, complemented
52#19098498C2211yescharacteristic, complemented
53#19098498C2211yescharacteristic, complemented
54#19098498C2211yescharacteristic, complemented
55#19098494C2211yescharacteristic, complemented
56#19098493C2211yescharacteristic, complemented
57#19098492C2211yescharacteristic, complemented
58#19098492C2211yescharacteristic, complemented
59#19098492C2211yescharacteristic, complemented
60#19098491C2211yescharacteristic, complemented
61#19098491C2211yescharacteristic, complemented
62#19098491C2211yescharacteristic, complemented
63#19098490C2211yescharacteristic, complemented
64#19098489C2211yescharacteristic, complemented
65#19098489C2211yescharacteristic, complemented
66#19098489C2211yescharacteristic, complemented
67#19098489C2211yescharacteristic, complemented
68#19098488C2211yescharacteristic, complemented
69#19098487C2211yescharacteristic, complemented
70#19098487C2211yescharacteristic, complemented
71#19098486C2211yescharacteristic, complemented
72#19098485C2211yescharacteristic, complemented
73#19098485C2211yescharacteristic, complemented
74#19098485C2211yescharacteristic, complemented
75#19098483C2211yescharacteristic, complemented
76#19098483C2211yescharacteristic, complemented
77#19098482C2211yescharacteristic, complemented
78#19098481C2211yescharacteristic, complemented
79#19098481C2211yescharacteristic, complemented
80#19098480C2211yescharacteristic, complemented
81#19098480C2211yescharacteristic, complemented
82#19098480C2211yescharacteristic, complemented
83#19098480C2211yescharacteristic, complemented
84#19098479C2211yescharacteristic
85#19098479C2211yescharacteristic
86#19098479C2211yescharacteristic, complemented
87#19098478C2211yescharacteristic
88#19098478C2211yescharacteristic
89#19098478C2211yescharacteristic
90#19098478C2211yescharacteristic
91#19098478C2211yescharacteristic, complemented
92#19098476C2211yescharacteristic, complemented
93#19098476C2211yescharacteristic, complemented
94#19098476C2211yescharacteristic, complemented
95#19098475C2211yescharacteristic, complemented
96#19098474C2211yescharacteristic, complemented
97#19098472C2211yescharacteristic
98#19098472C2211yescharacteristic
99#19098470C2211yescharacteristic, complemented
100#19098468C2211yescharacteristic, complemented
101#19098468C2211yescharacteristic, complemented
102#19098467C2211yescharacteristic, complemented
103#19098464C2211yescharacteristic, complemented
104#19098463C2211yescharacteristic
105#19098463C2211yescharacteristic
106#19098463C2211yescharacteristic
107#19098463C2211yescharacteristic
108#19098463C2211yescharacteristic, complemented
109#19098459C2211yescharacteristic, complemented
110#19098458C2211yescharacteristic, complemented
111#19098458C2211yescharacteristic, complemented
112#19098458C2211yescharacteristic, complemented
113#19098457C2211yescharacteristic, complemented
114#19098456C2211yescharacteristic, complemented
115#19098456C2211yescharacteristic, complemented
116#19098455C2211yescharacteristic, complemented
117#19098455C2211yescharacteristic, complemented
118#19098453C2211yescharacteristic, complemented
119#19098453C2211yescharacteristic, complemented
120#19098453C2211yescharacteristic, complemented
121#19098453C2211yescharacteristic, complemented
122#19098452C2211yescharacteristic, complemented
123#19098451C2211yescharacteristic, complemented
124#19098451C2211yescharacteristic, complemented
125#19098450C2211yescharacteristic, complemented
126#19098449C2211yescharacteristic, complemented
127#19098448C2211yescharacteristic, complemented
128#19098445C2211yescharacteristic, complemented
129#19098445C2211yescharacteristic, complemented
130#19098445C2211yescharacteristic, complemented
131#19098444C2211yescharacteristic, complemented
132#19098444C2211yescharacteristic, complemented
133#19098442C2211yescharacteristic
134#19098442C2211yescharacteristic
135#19098442C2211yescharacteristic
136#19098442C2211yescharacteristic
137#19098442C2211yescharacteristic
138#19098442C2211yescharacteristic
139#19098442C2211yescharacteristic
140#19098442C2211yescharacteristic
141#19098442C2211yescharacteristic
142#19098442C2211yescharacteristic
143#19098442C2211yescharacteristic, complemented
144#19098442C2211yescharacteristic, complemented
145#19098440C2211yescharacteristic
146#19098440C2211yescharacteristic
147#19098438C2211yescharacteristic
148#19098437C2211yescharacteristic, complemented
149#19098436C2211yescharacteristic
150#19098436C2211yescharacteristic
151#19098436C2211yescharacteristic, complemented
152#19098436C2211yescharacteristic, complemented
153#19098435C2211yescharacteristic
154#19098434C2211yescharacteristic, complemented
155#19098430C2211yescharacteristic, complemented
156#19098428C2211yescharacteristic, complemented
157#19098426C2211yescharacteristic, complemented
158#19098426C2211yescharacteristic, complemented
159#19098425C2211yescharacteristic, complemented
160#19098421C2211yescharacteristic
161#19098421C2211yescharacteristic
162#19098420C2211yescharacteristic, complemented
163#19098419C2211yescharacteristic
164#19098418C2211yescharacteristic
165#19098418C2211yescharacteristic
166#19098418C2211yescharacteristic
167C22⋊C4×Dic79C2211yescharacteristic
168C22⋊C4×Dic79C2211yescharacteristic
169C22⋊C4×Dic79C2211yescharacteristic
170C2×C79⋊#95C2211yescharacteristic
171C2×C79⋊#95C2211yescharacteristic
172C24×C4×C79C2211yescharacteristic
173C2×C22⋊Q8×C79C2211yescharacteristic
174C2×C22⋊Q8×C79C2211yescharacteristic, complemented
175C2×C22⋊Q8×C79C2211yescharacteristic, complemented
176#385×C79C2211yescharacteristic
177#385×C79C2211yescharacteristic
178#385×C79C2211yescharacteristic, complemented
179#385×C79C2211yescharacteristic, complemented
180#385×C79C2211yescharacteristic, complemented
181#385×C79C2211yescharacteristic, complemented
182#380×C79C2211yescharacteristic
183#380×C79C2211yescharacteristic, complemented
184#380×C79C2211yescharacteristic, complemented
185#379×C79C2211yescharacteristic
186#379×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C22×Dic158C2311yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×C22⋊D79—24no—
193C22×C22⋊D79—42no—
194C22×C22⋊D79—42no—
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206#14579156—42no—
207#14579154—42no—
208#14579150—42no—
209#14579147—42no—
210#14579147—42no—
211#14579147—42no—
212#14579144—42no—
213#14579144—42no—
214#14579138—24no—
215#14579138—42no—
216#14579134—42no—
217#14579134—42no—
218#14579131—42no—
219#14579130—42no—
220(C22⋊D79)⋊C4—24no—
221C2×C4⋊Dic79C2311yescharacteristic
222C2×C4⋊Dic79C2311yescharacteristic
223C2×C4⋊Dic79C2311yescharacteristic
224C2×C4⋊Dic79C2311yescharacteristic
225C2×Dic79⋊C4C2311yescharacteristic
226C2×Dic79⋊C4C2311yescharacteristic
227C2×Dic79⋊C4C2311yescharacteristic
228C2×Dic79⋊C4C2311yescharacteristic
229C2×Dic79⋊C4C2311yescharacteristic
230C2×Dic79⋊C4C2311yescharacteristic
231C2×Dic79⋊C4C2311yescharacteristic
232C2×Dic79⋊C4C2311yescharacteristic
233C2×Dic79⋊C4C2311yescharacteristic
234C2×Dic79⋊C4C2311yescharacteristic
235C2×Dic79⋊C4C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×C22⋊Dic79—42no—
241C2×C22⋊Dic79C2311yescharacteristic
242C2×C22⋊Dic79C2311yescharacteristic
243C2×C22⋊Dic79C2311yescharacteristic
244C2×C22⋊Dic79C2311yescharacteristic
245C2×C22⋊Dic79C2311yescharacteristic
246C2×C22⋊Dic79C2311yescharacteristic
247C2×C22⋊Dic79C2311yescharacteristic
248C2×C22⋊Dic79C2311yescharacteristic
249C2×C22⋊Dic79C2311yescharacteristic
250C2×C22⋊Dic79C2311yescharacteristic
251C2×C22⋊Dic79C2311yescharacteristic
252C2×C22⋊Dic79C2311yescharacteristic
253C2×C22⋊Dic79C2311yescharacteristic
254C2×(C2×D79)⋊C4—42no—
255C2×(C2×D79)⋊C4—42no—
256C2×(C2×D79)⋊C4C2311yescharacteristic
257C2×(C2×D79)⋊C4C2311yescharacteristic
258C2×(C2×D79)⋊C4C2311yescharacteristic
259C2×(C2×D79)⋊C4C2311yescharacteristic
260C2×(C2×D79)⋊C4C2311yescharacteristic
261C2×(C2×D79)⋊C4C2311yescharacteristic
262C2×(C2×D79)⋊C4C2311yescharacteristic
263C2×(C2×D79)⋊C4C2311yescharacteristic
264C2×(C2×D79)⋊C4C2311yescharacteristic
265C2×(C2×D79)⋊C4C2311yescharacteristic
266C2×(C2×D79)⋊C4C2311yescharacteristic
267C2×(C2×D79)⋊C4C2311yescharacteristic
268C2×(C2×D79)⋊C4C2311yescharacteristic
269C2×(C2×D79)⋊C4C2311yescharacteristic
270C2×(C2×D79)⋊C4C2311yescharacteristic
271C2×(C2×D79)⋊C4C2311yescharacteristic
272C2×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×C4×Dic79C2311yescharacteristic
288C2×C4×Dic79C2311yescharacteristic
289C2×C4×Dic79C2311yescharacteristic
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C2×C4×Dic79C2311yescharacteristic
293C2×C4×Dic79C2311yescharacteristic
294C79⋊#95C2311yescharacteristic
295C79⋊#95C2311yescharacteristic
296C79⋊#95C2311yescharacteristic
297C79⋊#95C2311yescharacteristic
298C79⋊#95C2311yescharacteristic
299C79⋊#95C2311yescharacteristic
300C79⋊#95C2311yescharacteristic
301C79⋊#95C2311yescharacteristic
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C25×C79C2311yescharacteristic
329C22×Q8×C79C2311yescharacteristic
330C23×C4×C79—42no—
331C23×C4×C79—42no—
332C23×C4×C79—42no—
333C23×C4×C79C2311yescharacteristic
334C23×C4×C79C2311yescharacteristic
335C23×C4×C79C2311yescharacteristic
336C23×C4×C79C2311yescharacteristic
337C23×C4×C79C2311yescharacteristic
338C23×C4×C79C2311yescharacteristic
339C22⋊Q8×C79—42no—
340C22⋊Q8×C79—42no—
341C22⋊Q8×C79—42no—
342C2×C4⋊C4×C79C2311yescharacteristic
343C2×C4⋊C4×C79C2311yescharacteristic
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C4⋊C4×C79C2311yescharacteristic
346C2×C4⋊C4×C79C2311yescharacteristic
347C2×C4⋊C4×C79C2311yescharacteristic
348C2×C4⋊C4×C79C2311yescharacteristic
349C2×C4⋊C4×C79C2311yescharacteristic
350C2×C4⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C22⋊C4×C79C2311yescharacteristic
354C2×C22⋊C4×C79C2311yescharacteristic
355C2×C22⋊C4×C79C2311yescharacteristic
356C2×C22⋊C4×C79C2311yescharacteristic
357C2×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C22⋊C4×C79C2311yescharacteristic
361C2×C22⋊C4×C79C2311yescharacteristic
362C2×C22⋊C4×C79C2311yescharacteristic
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369C23×D79—22no—
370C23×D79—22no—
371C23×D79—22no—
372C23×D79—41no—
373C23×D79—41no—
374C23×D79—41no—
375C23×D79—41no—
376C23×D79C2411yescharacteristic
377C23×D79C2411yescharacteristic
378C23×D79C2411yescharacteristic
379C2×Dic158—22no—
380C2×Dic158—41no—
381C2×Dic158—41no—
382C2×Dic158—41no—
383C2×Dic158—41no—
384C2×Dic158—41no—
385C2×D316—41no—
386C2×D316—41no—
387C2×D316—41no—
388C2×D316—41no—
389C2×D316—41no—
390C2×D316—41no—
391C2×C22⋊D79—22no—
392C2×C22⋊D79—22no—
393C2×C22⋊D79—22no—
394C2×C22⋊D79—22no—
395C2×C22⋊D79—22no—
396C2×C22⋊D79—22no—
397C2×C22⋊D79—22no—
398C2×C22⋊D79—22no—
399C2×C22⋊D79—22no—
400C2×C22⋊D79—22no—
401C2×C22⋊D79—22no—
402C2×C22⋊D79—22no—
403C2×C22⋊D79—22no—
404C2×C22⋊D79—41no—
405C2×C22⋊D79—41no—
406C2×C22⋊D79—41no—
407C2×C22⋊D79—41no—
408C2×C22⋊D79—416no—
409C2×C22⋊D79—41no—
410C2×C22⋊D79—41no—
411C2×C22⋊D79—41no—
412C2×C22⋊D79—41no—
413C22×Dic79—22no—
414C22×Dic79—22no—
415C22×Dic79—41no—
416C22×Dic79—41no—
417C22×Dic79—41no—
418C22×Dic79—41no—
419C22×Dic79—41no—
420C22×Dic79—41no—
421C22×Dic79#4114yes—
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C2×C4×D79—22no—
436C2×C4×D79—41no—
437C2×C4×D79—41no—
438C4⋊Dic79—22no—
439C4⋊Dic79—41no—
440C4⋊Dic79—41no—
441C4⋊Dic79—41no—
442Dic79⋊C4—22no—
443Dic79⋊C4—22no—
444Dic79⋊C4—22no—
445Dic79⋊C4—22no—
446Dic79⋊C4—41no—
447Dic79⋊C4—41no—
448Dic79⋊C4—41no—
449Dic79⋊C4—41no—
450Dic79⋊C4—41no—
451Dic79⋊C4—41no—
452Dic79⋊C4—41no—
453Dic79⋊C4—41no—
454Dic79⋊C4—41no—
455Dic79⋊C4—41no—
456Dic79⋊C4—41no—
457C22⋊Dic79—22no—
458C22⋊Dic79—22no—
459C22⋊Dic79—22no—
460C22⋊Dic79—22no—
461C22⋊Dic79—22no—
462C22⋊Dic79—22no—
463C22⋊Dic79—22no—
464C22⋊Dic79—41no—
465C22⋊Dic79—41no—
466C22⋊Dic79—41no—
467C22⋊Dic79—41no—
468C22⋊Dic79—41no—
469C22⋊Dic79—41no—
470(C2×D79)⋊C4—22no—
471(C2×D79)⋊C4—22no—
472(C2×D79)⋊C4—22no—
473(C2×D79)⋊C4—22no—
474(C2×D79)⋊C4—41no—
475(C2×D79)⋊C4—41no—
476(C2×D79)⋊C4—41no—
477(C2×D79)⋊C4—41no—
478(C2×D79)⋊C4—41no—
479(C2×D79)⋊C4—41no—
480(C2×D79)⋊C4—41no—
481(C2×D79)⋊C4—41no—
482(C2×D79)⋊C4—41no—
483(C2×D79)⋊C4—41no—
484(C2×D79)⋊C4—41no—
485(C2×D79)⋊C4—41no—
486(C2×D79)⋊C4—41no—
487(C2×D79)⋊C4—41no—
488(C2×D79)⋊C4—41no—
489(C2×D79)⋊C4—41no—
490(C2×D79)⋊C4—41no—
491(C2×D79)⋊C4—41no—
492(C2×D79)⋊C4—41no—
493(C2×D79)⋊C4—41no—
494(C2×D79)⋊C4—41no—
495(C2×D79)⋊C4—41no—
496(C2×D79)⋊C4—41no—
497(C2×D79)⋊C4—41no—
498(C2×D79)⋊C4—41no—
499(C2×D79)⋊C4—41no—
500(C2×D79)⋊C4—41no—
501C4×Dic79—22no—
502C4×Dic79—41no—
503C4×Dic79—41no—
504C4×Dic79—41no—
505C4×Dic79—41no—
506C4×Dic79—41no—
507C4×Dic79—41no—
508C24×C79—22no—
509C24×C79—22no—
510C24×C79—22no—
511C24×C79—22no—
512C24×C79—22no—
513C24×C79—41no—
514C24×C79—41no—
515C24×C79C2411yescharacteristic
516C24×C79C2411yescharacteristic
517C24×C79C2411yescharacteristic
518C2×Q8×C79—22no—
519C2×Q8×C79—41no—
520C2×Q8×C79—41no—
521C22×C4×C79—22no—
522C22×C4×C79—22no—
523C22×C4×C79—22no—
524C22×C4×C79—22no—
525C22×C4×C79—22no—
526C22×C4×C79—22no—
527C22×C4×C79—22no—
528C22×C4×C79—41no—
529C22×C4×C79—41no—
530C22×C4×C79—41no—
531C22×C4×C79—41no—
532C22×C4×C79—41no—
533C22×C4×C79—41no—
534C22×C4×C79—41no—
535C22×C4×C79—41no—
536C22×C4×C79—41no—
537C22×C4×C79—41no—
538C22×C4×C79—41no—
539C22×C4×C79—416no—
540C22×C4×C79C2411yescharacteristic
541C22×C4×C79C2411yescharacteristic
542C22×C4×C79C2411yescharacteristic
543C22×C4×C79C2411yescharacteristic
544C22×C4×C79C2411yescharacteristic
545C22×C4×C79C2411yescharacteristic
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C22×C4×C79C2411yescharacteristic
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C4⋊C4×C79—22no—
553C4⋊C4×C79—41no—
554C4⋊C4×C79—41no—
555C4⋊C4×C79—41no—
556C4⋊C4×C79—41no—
557C4⋊C4×C79—41no—
558C4⋊C4×C79—41no—
559C4⋊C4×C79—41no—
560C4⋊C4×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—22no—
567C22⋊C4×C79—22no—
568C22⋊C4×C79—22no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C22⋊C4×C79—41no—
572C22⋊C4×C79—41no—
573C23×C79—21no—
574C23×C79—21no—
575C23×C79—21no—
576C23×C79—21no—
577C23×C79—28no—
578C23×C79—21no—
579C23×C79—21no—
580C23×C79—21no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—44no—
591C23×C79—44no—
592C23×C79—44no—
593C23×C79—44no—
594C23×C79—44no—
595C23×C79—44no—
596C23×C79C2×#4112yes—
597C23×C79H(5,𝔽2)12yes—
598C23×C79H(5,𝔽2)12yes—
599C23×C79H(5,𝔽2)12yes—
600C23×C792−1+412yes—
601C23×C79C2511yescharacteristic
602C22×D79—21no—
603C22×D79—21no—
604C22×D79—21no—
605C22×D79—21no—
606C22×D79—21no—
607C22×D79—21no—
608C22×D79—21no—
609C22×D79—21no—
610C22×D79—21no—
611C22×D79—21no—
612C22×D79—21no—
613C22×D79—21no—
614C22×D79—21no—
615C22×D79—21no—
616C22×D79—21no—
617C22×D79—21no—
618C22×D79—21no—
619C22×D79—21no—
620C22×D79—21no—
621C22×D79—21no—
622C22×D79—21no—
623C22×D79—44no—
624C22×D79—44no—
625C22×D79—44no—
626C22×D79—82no—
627C22×D79—82no—
628C22×D79—82no—
629C22×D79—82no—
630Q8×C79—82no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—44no—
667C2×C4×C79—44no—
668C2×C4×C79—44no—
669C2×C4×C79—44no—
670C2×C4×C79—44no—
671C2×C4×C79—44no—
672C2×C4×C79H(5,𝔽2)12yes—
673C22⋊D79—44no—
674C22⋊D79—44no—
675C22⋊D79—44no—
676C22⋊D79—44no—
677C22⋊D79—44no—
678C22⋊D79—82no—
679C22⋊D79—82no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—44no—
718C2×Dic79—82no—
719C2×Dic79—82no—
720C2×Dic79C2×#4112yes—
721C2×Dic79C2×#4112yes—
722D316—82no—
723D316—82no—
724C4×D79—82no—
725Dic158—82no—
726Dic158—82no—
727C22×C79—22no—
728C22×C79—22no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—22no—
732C22×C79—22no—
733C22×C79—22no—
734C22×C79—22no—
735C22×C79—22no—
736C22×C79—22no—
737C22×C79—22no—
738C22×C79—22no—
739C22×C79—416no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79—41no—
743C22×C79—41no—
744C22×C79—41no—
745C22×C79—41no—
746C22×C79—41no—
747C22×C79—41no—
748C22×C79#54214yes—
749C22×C79C22×#4111yescharacteristic
750C22×C79C2×H(5,𝔽2)11yescharacteristic
751C22×C79C2×H(5,𝔽2)11yescharacteristic
752C22×C79C2×H(5,𝔽2)11yescharacteristic
753C22×C79C2×H(5,𝔽2)11yescharacteristic
754C22×C79C2×2−1+411yescharacteristic
755C22×C79#58511yescharacteristic
756C2×D79—41no—
757C2×D79—41no—
758C2×D79—41no—
759C2×D79—41no—
760C2×D79—41no—
761C2×D79—41no—
762C2×D79—41no—
763C2×D79—41no—
764C2×D79—41no—
765C2×D79—41no—
766C2×D79—41no—
767C2×D79—41no—
768C2×D79—41no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—41no—
773C2×D79—41no—
774C2×D79—41no—
775C2×D79—41no—
776C2×D79—41no—
777C2×D79—88no—
778C4×C79—22no—
779C4×C79—41no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79—41no—
787C4×C79—41no—
788C4×C79—41no—
789C4×C79—41no—
790Dic79—22no—
791Dic79—22no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800Dic79—41no—
801Dic79—41no—
802Dic79—41no—
803#36793—791nomaximal, Sylow
804C2×C79—24no—
805C2×C79—42no—
806C2×C79—42no—
807C2×C79C2×#54211yescharacteristic
808C2×C79#349011yescharacteristic
809C2×C79#350611yescharacteristic
810C2×C79#353211yescharacteristic
811C2×C79#353411yescharacteristic
812C2×C79#353511yescharacteristic
813C2×C79#353611yescharacteristic
814D79—81no—
815D79—81no—
816D79—81no—
817#2849—791no—
818#2848D7911yescharacteristic, complemented
819#2796—791no—
820#2761—791no—
821#2757—791no—
822#2751—791no—
823#2737—791no—
824#2730—791no—
825#2723—791no—
826#2715—791no—
827#2712—791no—
828#2710—791no—
829#2705—791no—
830#2701—791no—
831#2700—791no—
832#2691—791no—
833#2686—791no—
834#2672—791no—
835#2626—791no—
836#2622—791no—
837#2564—791no—
838#2549—791no—
839#2480—791no—
840#2480—791no—
841#2472—791no—
842#2472—791no—
843#2435—791no—
844#2408—791no—
845#2329—791no—
846#2318—791no—
847C2×#386—791no—
848C79#3679311yescharacteristic, complemented, Sylow
849C23×D4—791no—
850C24×C4C2×D7911yescharacteristic
851C2×#126—791no—
852C2×#126—791no—
853C2×#124—791no—
854C2×#124—791no—
855C2×#124—791no—
856C2×#124—791no—
857C2×#123—791no—
858C2×#123—791no—
859C2×C22⋊Q8—791no—
860C2×C22⋊Q8—791no—
861C2×C22⋊Q8C2×D7911yescharacteristic
862C2×C22⋊Q8C2×D7911yescharacteristic, complemented
863C2×C22⋊Q8C2×D7911yescharacteristic, complemented
864C2×#121—791no—
865C2×#121—791no—
866C2×#120—791no—
867C2×#120—791no—
868C2×C4×D4—791no—
869C22×C22⋊C4—791no—
870C22×C22⋊C4—791no—
871C22×C22⋊C4—791no—
872#400—791no—
873#399—791no—
874#399—791no—
875#399—791no—
876#398—791no—
877#398—791no—
878#397—791no—
879#397—791no—
880#397—791no—
881#397—791no—
882#397—791no—
883#397—791no—
884#397—791no—
885#397—791no—
886#397—791no—
887#397—791no—
888#397—791no—
889#397—791no—
890#396—791no—
891#396—791no—
892#396—791no—
893#396—791no—
894#396—791no—
895#396—791no—
896#395—791no—
897#395—791no—
898#395—791no—
899#394—791no—
900#394—791no—
901#394—791no—
902#394—791no—
903#394—791no—
904#394—791no—
905#394—791no—
906#394—791no—
907#394—791no—
908#394—791no—
909#394—791no—
910#394—791no—
911#394—791no—
912#394—791no—
913#393—791no—
914#393—791no—
915#393—791no—
916#393—791no—
917#393—791no—
918#392—791no—
919#392—791no—
920#391—791no—
921#391—791no—
922#391—791no—
923#391—791no—
924#390—791no—
925#390—791no—
926#390—791no—
927#390—791no—
928#390—791no—
929#390—791no—
930#389—791no—
931#389—791no—
932#389—791no—
933#389—791no—
934#388—791no—
935#388—791no—
936#388—791no—
937#388—791no—
938#388—791no—
939#388—791no—
940#388—791no—
941#388—791no—
942#388—791no—
943#388—791no—
944#388—791no—
945#388—791no—
946#387—791no—
947#387—791no—
948#387—791no—
949#387—791no—
950#387—791no—
951#387—791no—
952#387—791no—
953#387—791no—
954#386—791no—
955#386—791no—
956#386—791no—
957#386—791no—
958#386—791no—
959#386—791no—
960#386—791no—
961#386—791no—
962#386—791no—
963#386—791no—
964#386—791no—
965#386—791no—
966#386—791no—
967#386—791no—
968#385—791no—
969#385—791no—
970#385—791no—
971#385—791no—
972#385—791no—
973#385—791no—
974#385—791no—
975#385—791no—
976#385C2×D7911yescharacteristic
977#385C2×D7911yescharacteristic
978#385C2×D7911yescharacteristic, complemented
979#385C2×D7911yescharacteristic, complemented
980#385C2×D7911yescharacteristic, complemented
981#385C2×D7911yescharacteristic, complemented
982#383—791no—
983#382—791no—
984#381—791no—
985#381—791no—
986#381—791no—
987#380—791no—
988#380—791no—
989#380—791no—
990#380C2×D7911yescharacteristic
991#380C2×D7911yescharacteristic, complemented
992#380C2×D7911yescharacteristic, complemented
993#379—791no—
994#379—791no—
995#379—791no—
996#379—791no—
997#379C2×D7911yescharacteristic
998#379C2×D7911yescharacteristic
999C4×C22⋊C4—791no—
1000C4×C22⋊C4—791no—
1001C4×C22⋊C4—791no—
1002C2×#95—791no—
1003C2×#95—791no—
1004C25—791no—
1005C25C22×D7911yescharacteristic
1006C22×Q8—791no—
1007C22×Q8—791no—
1008C22×Q8C22×D7911yescharacteristic
1009C22×D4—3162no—
1010C22×D4—3162no—
1011C22×D4—791no—
1012C22×D4—791no—
1013C22×D4—791no—
1014C22×D4—791no—
1015C22×D4—791no—
1016C22×D4—791no—
1017C22×D4—791no—
1018C22×D4—791no—
1019C22×D4—791no—
1020C22×D4—1584no—
1021C23×C4—42no—
1022C23×C4—42no—
1023C23×C4—42no—
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4—791no—
1027C23×C4—791no—
1028C23×C4C22×D7911yescharacteristic
1029C23×C4C22×D7911yescharacteristic
1030C23×C4C22×D7911yescharacteristic
1031C23×C4C22×D7911yescharacteristic
1032C23×C4C22×D7911yescharacteristic
1033C23×C4C22×D7911yescharacteristic
1034#126—3162no—
1035#126—3162no—
1036#124—3162no—
1037#124—3162no—
1038#124—3162no—
1039#124—3162no—
1040#123—3162no—
1041#123—3162no—
1042C22⋊Q8—42no—
1043C22⋊Q8—42no—
1044C22⋊Q8—42no—
1045C22⋊Q8—3162no—
1046C22⋊Q8—1584no—
1047#121—3162no—
1048#121—3162no—
1049#120—3162no—
1050#120—3162no—
1051C4×D4—1584no—
1052C2×C4⋊C4—791no—
1053C2×C4⋊C4—791no—
1054C2×C4⋊C4—791no—
1055C2×C4⋊C4—791no—
1056C2×C4⋊C4—791no—
1057C2×C4⋊C4—791no—
1058C2×C4⋊C4—791no—
1059C2×C4⋊C4—791no—
1060C2×C4⋊C4—791no—
1061C2×C4⋊C4—791no—
1062C2×C4⋊C4—791no—
1063C2×C4⋊C4—791no—
1064C2×C4⋊C4—791no—
1065C2×C4⋊C4—791no—
1066C2×C4⋊C4—791no—
1067C2×C4⋊C4—791no—
1068C2×C4⋊C4—791no—
1069C2×C4⋊C4—791no—
1070C2×C4⋊C4—791no—
1071C2×C4⋊C4C22×D7911yescharacteristic
1072C2×C4⋊C4C22×D7911yescharacteristic
1073C2×C4⋊C4C22×D7911yescharacteristic
1074C2×C4⋊C4C22×D7911yescharacteristic
1075C2×C4⋊C4C22×D7911yescharacteristic
1076C2×C4⋊C4C22×D7911yescharacteristic
1077C2×C4⋊C4C22×D7911yescharacteristic
1078C2×C4⋊C4C22×D7911yescharacteristic
1079C2×C4⋊C4C22×D7911yescharacteristic
1080C2×C22⋊C4—3162no—
1081C2×C22⋊C4—3162no—
1082C2×C22⋊C4—3162no—
1083C2×C22⋊C4—791no—
1084C2×C22⋊C4—791no—
1085C2×C22⋊C4—791no—
1086C2×C22⋊C4—791no—
1087C2×C22⋊C4—791no—
1088C2×C22⋊C4—791no—
1089C2×C22⋊C4—791no—
1090C2×C22⋊C4—791no—
1091C2×C22⋊C4—791no—
1092C2×C22⋊C4—791no—
1093C2×C22⋊C4—791no—
1094C2×C22⋊C4—791no—
1095C2×C22⋊C4—791no—
1096C2×C22⋊C4—791no—
1097C2×C22⋊C4—791no—
1098C2×C22⋊C4—791no—
1099C2×C22⋊C4—791no—
1100C2×C22⋊C4—791no—
1101C2×C22⋊C4—791no—
1102C2×C22⋊C4—791no—
1103C2×C22⋊C4—791no—
1104C2×C22⋊C4—791no—
1105C2×C22⋊C4—791no—
1106C2×C22⋊C4—791no—
1107C2×C22⋊C4—791no—
1108C2×C22⋊C4—791no—
1109C2×C22⋊C4—791no—
1110C2×C22⋊C4—791no—
1111C2×C22⋊C4—791no—
1112C2×C22⋊C4—791no—
1113C2×C22⋊C4—791no—
1114C2×C22⋊C4—791no—
1115C2×C22⋊C4—791no—
1116C2×C22⋊C4—791no—
1117C2×C22⋊C4—791no—
1118C2×C22⋊C4—791no—
1119C2×C22⋊C4—791no—
1120C2×C22⋊C4—791no—
1121C2×C22⋊C4—791no—
1122C2×C22⋊C4—791no—
1123C2×C22⋊C4—791no—
1124C2×C22⋊C4—791no—
1125C2×C22⋊C4—791no—
1126C2×C22⋊C4—791no—
1127C2×C22⋊C4C22×D7911yescharacteristic
1128C2×C22⋊C4C22×D7911yescharacteristic
1129C2×C22⋊C4C22×D7911yescharacteristic
1130C2×C22⋊C4C22×D7911yescharacteristic
1131C2×C22⋊C4C22×D7911yescharacteristic
1132C2×C22⋊C4C22×D7911yescharacteristic
1133C2×C22⋊C4C22×D7911yescharacteristic
1134C2×C22⋊C4C22×D7911yescharacteristic
1135C2×C22⋊C4C22×D7911yescharacteristic
1136C2×C22⋊C4C22×D7911yescharacteristic
1137C2×C22⋊C4C22×D7911yescharacteristic
1138C2×C22⋊C4C22×D7911yescharacteristic
1139C2×C42—791no—
1140C2×C42—791no—
1141C2×C42—791no—
1142C2×C42—791no—
1143C2×C42—791no—
1144C2×C42—791no—
1145C2×C42—791no—
1146#95—791no—
1147#95—791no—
1148#95—791no—
1149#95—791no—
1150#95—791no—
1151#95—791no—
1152#95—791no—
1153#95—791no—
1154#95—791no—
1155#95—791no—
1156#95—791no—
1157#95—791no—
1158#95—791no—
1159#95—791no—
1160#95—791no—
1161#95—791no—
1162#95—791no—
1163#95—791no—
1164#95—791no—
1165#95—791no—
1166#95—791no—
1167#95—791no—
1168#95—791no—
1169#95—791no—
1170#95—791no—
1171#95—791no—
1172#95—791no—
1173#95—791no—
1174#95—791no—
1175#95—791no—
1176#95—791no—
1177#95—791no—
1178#95—791no—
1179#95—791no—
1180#95C22×D7911yescharacteristic
1181#95C22×D7911yescharacteristic
1182#95C22×D7911yescharacteristic
1183#95C22×D7911yescharacteristic
1184#95C22×D7911yescharacteristic
1185#95C22×D7911yescharacteristic
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—41no—
1192C24—41no—
1193C24—3161no—
1194C24—3161no—
1195C24—3161no—
1196C24—3161no—
1197C24—791no—
1198C24—791no—
1199C24—791no—
1200C24—1582no—
1201C24—1582no—
1202C24—1582no—
1203C24C23×D7911yescharacteristic
1204C24C23×D7911yescharacteristic
1205C24C23×D7911yescharacteristic
1206C2×Q8—22no—
1207C2×Q8—41no—
1208C2×Q8—41no—
1209C2×Q8—3161no—
1210C2×Q8—3161no—
1211C2×Q8—3161no—
1212C2×Q8—3161no—
1213C2×Q8—3161no—
1214C2×Q8—1582no—
1215C2×D4—3161no—
1216C2×D4—3161no—
1217C2×D4—3161no—
1218C2×D4—3161no—
1219C2×D4—3161no—
1220C2×D4—3161no—
1221C2×D4—31616no—
1222C2×D4—3161no—
1223C2×D4—3161no—
1224C2×D4—3161no—
1225C2×D4—3161no—
1226C2×D4—3161no—
1227C2×D4—3161no—
1228C2×D4—3161no—
1229C2×D4—3161no—
1230C2×D4—1582no—
1231C2×D4—1582no—
1232C2×D4—1582no—
1233C2×D4—1582no—
1234C2×D4—1582no—
1235C2×D4—1582no—
1236C2×D4—1582no—
1237C2×D4—1582no—
1238C2×D4—1582no—
1239C2×D4—1582no—
1240C2×D4—1582no—
1241C2×D4—1582no—
1242C2×D4—1582no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—416no—
1262C22×C4—3161no—
1263C22×C4—3161no—
1264C22×C4—3161no—
1265C22×C4—3161no—
1266C22×C4—3161no—
1267C22×C4—3161no—
1268C22×C4—3161no—
1269C22×C4—3161no—
1270C22×C4—794no—
1271C22×C4—791no—
1272C22×C4—791no—
1273C22×C4—791no—
1274C22×C4—791no—
1275C22×C4—791no—
1276C22×C4—791no—
1277C22×C4—791no—
1278C22×C4—791no—
1279C22×C4—791no—
1280C22×C4—791no—
1281C22×C4—791no—
1282C22×C4—791no—
1283C22×C4—791no—
1284C22×C4—1582no—
1285C22×C4—1582no—
1286C22×C4—1582no—
1287C22×C4C23×D7911yescharacteristic
1288C22×C4C23×D7911yescharacteristic
1289C22×C4C23×D7911yescharacteristic
1290C22×C4C23×D7911yescharacteristic
1291C22×C4C23×D7911yescharacteristic
1292C22×C4C23×D7911yescharacteristic
1293C22×C4C23×D7911yescharacteristic
1294C22×C4C23×D7911yescharacteristic
1295C22×C4C23×D7911yescharacteristic
1296C22×C4C23×D7911yescharacteristic
1297C22×C4C23×D7911yescharacteristic
1298C22×C4C23×D7911yescharacteristic
1299C4⋊C4—22no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—3161no—
1309C4⋊C4—3161no—
1310C4⋊C4—3161no—
1311C4⋊C4—3161no—
1312C4⋊C4—3161no—
1313C4⋊C4—3161no—
1314C4⋊C4—3161no—
1315C4⋊C4—3161no—
1316C4⋊C4—3161no—
1317C4⋊C4—3161no—
1318C4⋊C4—3161no—
1319C4⋊C4—3161no—
1320C4⋊C4—3161no—
1321C4⋊C4—3161no—
1322C4⋊C4—1582no—
1323C4⋊C4—1582no—
1324C4⋊C4—1582no—
1325C4⋊C4—1582no—
1326C4⋊C4—1582no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—3161no—
1340C22⋊C4—3161no—
1341C22⋊C4—3161no—
1342C22⋊C4—3161no—
1343C22⋊C4—3161no—
1344C22⋊C4—3161no—
1345C22⋊C4—3161no—
1346C22⋊C4—3161no—
1347C22⋊C4—3161no—
1348C22⋊C4—3161no—
1349C22⋊C4—3161no—
1350C22⋊C4—3161no—
1351C22⋊C4—3161no—
1352C22⋊C4—3161no—
1353C22⋊C4—3161no—
1354C22⋊C4—3161no—
1355C22⋊C4—3161no—
1356C22⋊C4—3161no—
1357C22⋊C4—3161no—
1358C22⋊C4—3161no—
1359C22⋊C4—3161no—
1360C22⋊C4—3161no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—3161no—
1366C22⋊C4—3161no—
1367C22⋊C4—3161no—
1368C22⋊C4—3161no—
1369C22⋊C4—3161no—
1370C22⋊C4—3161no—
1371C22⋊C4—3161no—
1372C22⋊C4—1582no—
1373C22⋊C4—1582no—
1374C22⋊C4—1582no—
1375C22⋊C4—1582no—
1376C22⋊C4—1582no—
1377C22⋊C4—1582no—
1378C22⋊C4—1582no—
1379C22⋊C4—1582no—
1380C22⋊C4—1582no—
1381C22⋊C4—1582no—
1382C22⋊C4—1582no—
1383C42—3161no—
1384C42—3161no—
1385C42—3161no—
1386C42—3161no—
1387C42—3161no—
1388C42—3161no—
1389C42—1582no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—28no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—44no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—3164no—
1414C23—3164no—
1415C23—3164no—
1416C23—6322no—
1417C23—6322no—
1418C23—6322no—
1419C23—6322no—
1420C23—1581no—
1421C23—1581no—
1422C23—1581no—
1423C23—1581no—
1424C23—1581no—
1425C23—1581no—
1426C23—1581no—
1427C23—1581no—
1428C23—1581no—
1429C23—1581no—
1430C23—1581no—
1431C23—1581no—
1432C23—1581no—
1433C23—1581no—
1434C23—1581no—
1435C23—1581no—
1436C23—1581no—
1437C23—1581no—
1438C23—1581no—
1439C23—1581no—
1440C23—1581no—
1441C23#41×D7912yes—
1442C23#1457920612yes—
1443C23#1457920612yes—
1444C23#1457920712yes—
1445C23#1457920912yes—
1446C23C24×D7911yescharacteristic
1447Q8—82no—
1448Q8—6322no—
1449Q8—6322no—
1450D4—3164no—
1451D4—3164no—
1452D4—3164no—
1453D4—3164no—
1454D4—3164no—
1455D4—6322no—
1456D4—6322no—
1457D4—6322no—
1458D4—6322no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—3164no—
1501C2×C4—792no—
1502C2×C4—792no—
1503C2×C4—6322no—
1504C2×C4—6322no—
1505C2×C4—6322no—
1506C2×C4—1581no—
1507C2×C4—1581no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1581no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4—1581no—
1514C2×C4—1581no—
1515C2×C4—1581no—
1516C2×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4—1581no—
1523C2×C4—1581no—
1524C2×C4—1581no—
1525C2×C4—1581no—
1526C2×C4—1581no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×C4—1581no—
1538C2×C4—1581no—
1539C2×C4—1581no—
1540C2×C4—1581no—
1541C2×C4—1581no—
1542C2×C4—1581no—
1543C2×C4#1457920612yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—416no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—3161no—
1566C22—3161no—
1567C22—3161no—
1568C22—3161no—
1569C22—3161no—
1570C22—3161no—
1571C22—3161no—
1572C22—3161no—
1573C22—3161no—
1574C22—3161no—
1575C22—3161no—
1576C22—3161no—
1577C22—3161no—
1578C22—3161no—
1579C22—3161no—
1580C22—3161no—
1581C22—3161no—
1582C22—3161no—
1583C22—3161no—
1584C22—3161no—
1585C22—3161no—
1586C22—6328no—
1587C22#1909918314yes—
1588C22C2×#41×D7911yescharacteristic
1589C22C2×#1457920611yescharacteristic
1590C22C2×#1457920611yescharacteristic
1591C22C2×#1457920611yescharacteristic
1592C22C2×#1457920711yescharacteristic
1593C22C2×#1457920911yescharacteristic
1594C22#1909939911yescharacteristic
1595C4—22no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—3161no—
1608C4—3161no—
1609C4—3161no—
1610C4—3161no—
1611C4—3161no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—3161no—
1616C4—3161no—
1617C4—3161no—
1618C4—1582no—
1619C4—1582no—
1620C2—24no—
1621C2—42no—
1622C2—42no—
1623C2—6321no—
1624C2—6321no—
1625C2—6321no—
1626C2C2×#1909918311yescharacteristic
1627C2#2377708311yescharacteristic
1628C2#2377724311yescharacteristic
1629C2#2377755511yescharacteristic
1630C2#2377758411yescharacteristic
1631C2#2377760911yescharacteristic
1632C2#2377762911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2848C2
prime radical#23766755C2
hypercenter#2848D79
hypocenterC79#36793
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2848

Complements

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

NH ≅ G/Ntype
1. #23771692C2semidirect
2. #23771238C2semidirect
3. #23770791C2semidirect
4. #23770740C2semidirect
5. #23770657C2semidirect
6. #23770451C2semidirect
7. #23770391C2semidirect
8. #23770313C2semidirect
9. #23770208C2semidirect
10. #23770168C2semidirect
11. #23770146C2semidirect
12. #23770073C2semidirect
13. #23770014C2semidirect
14. #23769994C2semidirect
15. #23769879C2semidirect
16. #23769803C2semidirect
17. #23769647C2semidirect
18. #23769211C2semidirect
19. #23769178C2semidirect
20. #23768578C2semidirect
21. #23768408C2semidirect
22. #23767651C2semidirect
23. #23767645C2semidirect
24. #23767533C2semidirect
25. #23767523C2semidirect
26. #23767049C2semidirect
28. #23766131C2semidirect
29. #23766028C2semidirect
30. C2×#19098442C2semidirect
31. C79×#2848C2semidirect
33. C2×#14579156C22semidirect
34. C2×#14579154C22semidirect
35. C2×#14579150C22semidirect
38. C2×#14579147C22semidirect
39. C2×#14579144C22semidirect
40. C2×#14579144C22semidirect
51. #19098504C22semidirect
52. #19098498C22semidirect
53. #19098498C22semidirect
54. #19098498C22semidirect
55. #19098494C22semidirect
56. #19098493C22semidirect
57. #19098492C22semidirect
58. #19098492C22semidirect
59. #19098492C22semidirect
60. #19098491C22semidirect
61. #19098491C22semidirect
62. #19098491C22semidirect
63. #19098490C22semidirect
64. #19098489C22semidirect
65. #19098489C22semidirect
66. #19098489C22semidirect
67. #19098489C22semidirect
68. #19098488C22semidirect
69. #19098487C22semidirect
70. #19098487C22semidirect
71. #19098486C22semidirect
72. #19098485C22semidirect
73. #19098485C22semidirect
74. #19098485C22semidirect
75. #19098483C22semidirect
76. #19098483C22semidirect
77. #19098482C22semidirect
78. #19098481C22semidirect
79. #19098481C22semidirect
80. #19098480C22semidirect
81. #19098480C22semidirect
82. #19098480C22semidirect
83. #19098480C22semidirect
86. #19098479C22semidirect
91. #19098478C22semidirect
92. #19098476C22semidirect
93. #19098476C22semidirect
94. #19098476C22semidirect
95. #19098475C22semidirect
96. #19098474C22semidirect
99. #19098470C22semidirect
100. #19098468C22semidirect
101. #19098468C22semidirect
102. #19098467C22semidirect
103. #19098464C22semidirect
108. #19098463C22semidirect
109. #19098459C22semidirect
110. #19098458C22semidirect
111. #19098458C22semidirect
112. #19098458C22semidirect
113. #19098457C22semidirect
114. #19098456C22semidirect
115. #19098456C22semidirect
116. #19098455C22semidirect
117. #19098455C22semidirect
118. #19098453C22semidirect
119. #19098453C22semidirect
120. #19098453C22semidirect
121. #19098453C22semidirect
122. #19098452C22semidirect
123. #19098451C22semidirect
124. #19098451C22semidirect
125. #19098450C22semidirect
126. #19098449C22semidirect
127. #19098448C22semidirect
128. #19098445C22semidirect
129. #19098445C22semidirect
130. #19098445C22semidirect
131. #19098444C22semidirect
132. #19098444C22semidirect
143. #19098442C22semidirect
144. #19098442C22semidirect
148. #19098437C22semidirect
151. #19098436C22semidirect
152. #19098436C22semidirect
154. #19098434C22semidirect
155. #19098430C22semidirect
156. #19098428C22semidirect
157. #19098426C22semidirect
158. #19098426C22semidirect
159. #19098425C22semidirect
162. #19098420C22semidirect
174. C2×C22⋊Q8×C79C22semidirect
175. C2×C22⋊Q8×C79C22semidirect
178. #385×C79C22semidirect
179. #385×C79C22semidirect
180. #385×C79C22semidirect
181. #385×C79C22semidirect
183. #380×C79C22semidirect
184. #380×C79C22semidirect
818. #2848D79semidirect
848. C79#36793semidirect
862. C2×C22⋊Q8C2×D79semidirect
863. C2×C22⋊Q8C2×D79semidirect
978. #385C2×D79semidirect
979. #385C2×D79semidirect
980. #385C2×D79semidirect
981. #385C2×D79semidirect
991. #380C2×D79semidirect
992. #380C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716922
#237712382
#237707912
#237707402
#237706572
#237704512
#237703912
#237703132
#237702082
#237701682
#237701462
#237700732
#237700142
#237699942
#237698792
#237698032
#237696472
#237692112
#237691782
#237685782
#237684082
#237676512
#237676452
#237675332
#237675232
#237670492
#237667552
#237661312
#237660282
C2×#190984422
C79×#28482
#3679379