Finite Group Databasebeta

← #34497559

Subgroups — #34497559

Order 20224.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771713C211yesmaximal, characteristic, complemented
2#23771708C211yesmaximal, characteristic, complemented
3#23771239C211yesmaximal, characteristic, complemented
4#23771115C211yesmaximal, characteristic, complemented
5#23770734C211yesmaximal, characteristic, complemented
6#23770503C211yesmaximal, characteristic, complemented
7#23770460C211yesmaximal, characteristic, complemented
8#23770312C211yesmaximal, characteristic, complemented
9#23770164C211yesmaximal, characteristic, complemented
10#23770162C211yesmaximal, characteristic, complemented
11#23770100C211yesmaximal, characteristic, complemented
12#23770082C211yesmaximal, characteristic, complemented
13#23770079C211yesmaximal, characteristic, complemented
14#23770066C211yesmaximal, characteristic, complemented
15#23769951C211yesmaximal, characteristic, complemented
16#23769922C211yesmaximal, characteristic, complemented
17#23769876C211yesmaximal, characteristic, complemented
18#23769752C211yesmaximal, characteristic, complemented
19#23769209C211yesmaximal, characteristic, complemented
20#23769175C211yesmaximal, characteristic, complemented
21#23767640C211yesmaximal, characteristic, complemented
22#23767543C211yesmaximal, characteristic, complemented
23#23767203C211yesmaximal, characteristic, complemented
24#23767068C211yesmaximal, characteristic, complemented
25#23766795C211yesmaximal, characteristic, complemented
26#23766770C211yesmaximal, characteristic
27#23766725C211yesmaximal, characteristic, complemented
28#23766054C211yesmaximal, characteristic, complemented
29#23766011C211yesmaximal, characteristic, complemented
30C2×#19098463C211yesmaximal, characteristic, complemented
31C79×#2418C211yesmaximal, characteristic, complemented
32C23×C22⋊D79C2211yescharacteristic
33C2×#14579154C2211yescharacteristic, complemented
34C2×#14579154C2211yescharacteristic, complemented
35C2×#14579152C2211yescharacteristic, complemented
36C2×#14579151C2211yescharacteristic, complemented
37C2×#14579143C2211yescharacteristic
38C2×#14579143C2211yescharacteristic
39C2×#14579143C2211yescharacteristic, complemented
40C2×#14579140C2211yescharacteristic, complemented
41C2×#14579139C2211yescharacteristic, complemented
42C2×#14579138C2211yescharacteristic
43C2×#14579132C2211yescharacteristic
44C2×#14579132C2211yescharacteristic
45C2×#14579129C2211yescharacteristic
46C22×Dic79⋊C4C2211yescharacteristic
47C22×C22⋊Dic79C2211yescharacteristic
48C22×(C2×D79)⋊C4C2211yescharacteristic
49C22×(C2×D79)⋊C4C2211yescharacteristic
50C2×C22⋊C4×D79C2211yescharacteristic
51C2×C22⋊C4×D79C2211yescharacteristic
52C22×C4×Dic79C2211yescharacteristic
53#19098504C2211yescharacteristic, complemented
54#19098499C2211yescharacteristic, complemented
55#19098499C2211yescharacteristic, complemented
56#19098499C2211yescharacteristic, complemented
57#19098498C2211yescharacteristic, complemented
58#19098497C2211yescharacteristic, complemented
59#19098496C2211yescharacteristic, complemented
60#19098496C2211yescharacteristic, complemented
61#19098494C2211yescharacteristic, complemented
62#19098492C2211yescharacteristic, complemented
63#19098491C2211yescharacteristic, complemented
64#19098491C2211yescharacteristic, complemented
65#19098491C2211yescharacteristic, complemented
66#19098491C2211yescharacteristic, complemented
67#19098491C2211yescharacteristic, complemented
68#19098491C2211yescharacteristic, complemented
69#19098490C2211yescharacteristic, complemented
70#19098488C2211yescharacteristic, complemented
71#19098487C2211yescharacteristic, complemented
72#19098486C2211yescharacteristic, complemented
73#19098486C2211yescharacteristic, complemented
74#19098486C2211yescharacteristic, complemented
75#19098486C2211yescharacteristic, complemented
76#19098486C2211yescharacteristic, complemented
77#19098486C2211yescharacteristic, complemented
78#19098485C2211yescharacteristic, complemented
79#19098483C2211yescharacteristic, complemented
80#19098479C2211yescharacteristic
81#19098479C2211yescharacteristic
82#19098479C2211yescharacteristic
83#19098479C2211yescharacteristic
84#19098479C2211yescharacteristic, complemented
85#19098478C2211yescharacteristic
86#19098478C2211yescharacteristic
87#19098478C2211yescharacteristic, complemented
88#19098477C2211yescharacteristic, complemented
89#19098477C2211yescharacteristic, complemented
90#19098477C2211yescharacteristic, complemented
91#19098477C2211yescharacteristic, complemented
92#19098476C2211yescharacteristic, complemented
93#19098475C2211yescharacteristic, complemented
94#19098475C2211yescharacteristic, complemented
95#19098471C2211yescharacteristic
96#19098471C2211yescharacteristic
97#19098463C2211yescharacteristic
98#19098463C2211yescharacteristic
99#19098463C2211yescharacteristic
100#19098463C2211yescharacteristic
101#19098463C2211yescharacteristic
102#19098463C2211yescharacteristic
103#19098463C2211yescharacteristic
104#19098463C2211yescharacteristic
105#19098463C2211yescharacteristic, complemented
106#19098463C2211yescharacteristic, complemented
107#19098462C2211yescharacteristic, complemented
108#19098461C2211yescharacteristic, complemented
109#19098459C2211yescharacteristic, complemented
110#19098458C2211yescharacteristic, complemented
111#19098457C2211yescharacteristic, complemented
112#19098457C2211yescharacteristic, complemented
113#19098456C2211yescharacteristic, complemented
114#19098456C2211yescharacteristic, complemented
115#19098454C2211yescharacteristic, complemented
116#19098454C2211yescharacteristic, complemented
117#19098453C2211yescharacteristic, complemented
118#19098453C2211yescharacteristic, complemented
119#19098451C2211yescharacteristic, complemented
120#19098451C2211yescharacteristic, complemented
121#19098450C2211yescharacteristic, complemented
122#19098450C2211yescharacteristic, complemented
123#19098450C2211yescharacteristic, complemented
124#19098448C2211yescharacteristic, complemented
125#19098448C2211yescharacteristic, complemented
126#19098447C2211yescharacteristic, complemented
127#19098446C2211yescharacteristic, complemented
128#19098446C2211yescharacteristic, complemented
129#19098445C2211yescharacteristic, complemented
130#19098445C2211yescharacteristic, complemented
131#19098443C2211yescharacteristic
132#19098443C2211yescharacteristic
133#19098443C2211yescharacteristic
134#19098442C2211yescharacteristic, complemented
135#19098442C2211yescharacteristic, complemented
136#19098439C2211yescharacteristic
137#19098439C2211yescharacteristic
138#19098439C2211yescharacteristic
139#19098439C2211yescharacteristic
140#19098439C2211yescharacteristic, complemented
141#19098438C2211yescharacteristic
142#19098438C2211yescharacteristic
143#19098438C2211yescharacteristic
144#19098437C2211yescharacteristic, complemented
145#19098437C2211yescharacteristic, complemented
146#19098437C2211yescharacteristic, complemented
147#19098437C2211yescharacteristic, complemented
148#19098436C2211yescharacteristic
149#19098436C2211yescharacteristic
150#19098436C2211yescharacteristic, complemented
151#19098435C2211yescharacteristic
152#19098435C2211yescharacteristic
153#19098435C2211yescharacteristic
154#19098435C2211yescharacteristic
155#19098434C2211yescharacteristic, complemented
156#19098434C2211yescharacteristic, complemented
157#19098434C2211yescharacteristic, complemented
158#19098430C2211yescharacteristic, complemented
159#19098428C2211yescharacteristic, complemented
160#19098425C2211yescharacteristic, complemented
161#19098423C2211yescharacteristic
162#19098422C2211yescharacteristic, complemented
163#19098422C2211yescharacteristic, complemented
164#19098422C2211yescharacteristic, complemented
165#19098421C2211yescharacteristic
166#19098420C2211yescharacteristic, complemented
167#19098420C2211yescharacteristic, complemented
168#19098419C2211yescharacteristic
169#19098419C2211yescharacteristic
170#19098418C2211yescharacteristic
171C4×C22⋊Dic79C2211yescharacteristic
172C2×#123×C79C2211yescharacteristic, complemented
173C2×#120×C79C2211yescharacteristic
174C2×C4×D4×C79C2211yescharacteristic
175C22×C22⋊C4×C79C2211yescharacteristic
176#399×C79C2211yescharacteristic, complemented
177#397×C79C2211yescharacteristic, complemented
178#394×C79C2211yescharacteristic, complemented
179#394×C79C2211yescharacteristic, complemented
180#388×C79C2211yescharacteristic, complemented
181#388×C79C2211yescharacteristic, complemented
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic, complemented
184#385×C79C2211yescharacteristic
185#380×C79C2211yescharacteristic
186#379×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C22×Dic158C2311yescharacteristic
189C22×C22⋊D79—24no—
190C22×C22⋊D79—42no—
191C22×C22⋊D79—42no—
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C23×Dic79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C22×C4×D79C2311yescharacteristic
202C22×C4×D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205#14579154—42no—
206#14579154—42no—
207#14579152—42no—
208#14579151—42no—
209#14579143—42no—
210#14579143—42no—
211#14579143—42no—
212#14579140—42no—
213#14579139—42no—
214#14579138—42no—
215#14579132—42no—
216#14579132—42no—
217#14579129—24no—
218C2×C4⋊Dic79C2311yescharacteristic
219C2×C4⋊Dic79C2311yescharacteristic
220C2×C4⋊Dic79C2311yescharacteristic
221C2×C4⋊Dic79C2311yescharacteristic
222C2×C4⋊Dic79C2311yescharacteristic
223C2×C4⋊Dic79C2311yescharacteristic
224C2×C4⋊Dic79C2311yescharacteristic
225C2×C4⋊Dic79C2311yescharacteristic
226C2×C4⋊Dic79C2311yescharacteristic
227C2×Dic79⋊C4—42no—
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×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×C22⋊Dic79—42no—
249C2×C22⋊Dic79C2311yescharacteristic
250C2×C22⋊Dic79C2311yescharacteristic
251C2×C22⋊Dic79C2311yescharacteristic
252C2×C22⋊Dic79C2311yescharacteristic
253C2×C22⋊Dic79C2311yescharacteristic
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×C22⋊Dic79C2311yescharacteristic
265C2×C22⋊Dic79C2311yescharacteristic
266C2×C22⋊Dic79C2311yescharacteristic
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×(C2×D79)⋊C4—42no—
272C2×(C2×D79)⋊C4—42no—
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C22⋊C4×D79—24no—
292C22⋊C4×D79—42no—
293C2×C4×Dic79—42no—
294C2×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C2×C4×Dic79C2311yescharacteristic
297C2×C4×Dic79C2311yescharacteristic
298C2×C4×Dic79C2311yescharacteristic
299C2×C4×Dic79C2311yescharacteristic
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
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C25×C79C2311yescharacteristic
331C22×D4×C79C2311yescharacteristic
332C22×D4×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C23×C4×C79C2311yescharacteristic
335C23×C4×C79C2311yescharacteristic
336C23×C4×C79C2311yescharacteristic
337#123×C79—42no—
338#120×C79—42no—
339C4×D4×C79—42no—
340C2×C4⋊C4×C79C2311yescharacteristic
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C4⋊C4×C79C2311yescharacteristic
343C2×C4⋊C4×C79C2311yescharacteristic
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C22⋊C4×C79—42no—
346C2×C22⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C22⋊C4×C79C2311yescharacteristic
354C2×C22⋊C4×C79C2311yescharacteristic
355C2×C22⋊C4×C79C2311yescharacteristic
356C2×C22⋊C4×C79C2311yescharacteristic
357C2×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C22⋊C4×C79C2311yescharacteristic
361C2×C22⋊C4×C79C2311yescharacteristic
362C2×C42×C79C2311yescharacteristic
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—41no—
372C23×D79—41no—
373C23×D79—41no—
374C23×D79—41no—
375C23×D79#4114yes—
376C23×D79C2411yescharacteristic
377C23×D79C2411yescharacteristic
378C2×Dic158—41no—
379C2×Dic158—41no—
380C2×Dic158—41no—
381C2×C22⋊D79—22no—
382C2×C22⋊D79—22no—
383C2×C22⋊D79—22no—
384C2×C22⋊D79—22no—
385C2×C22⋊D79—22no—
386C2×C22⋊D79—22no—
387C2×C22⋊D79—22no—
388C2×C22⋊D79—22no—
389C2×C22⋊D79—22no—
390C2×C22⋊D79—22no—
391C2×C22⋊D79—41no—
392C2×C22⋊D79—41no—
393C2×C22⋊D79—41no—
394C2×C22⋊D79—41no—
395C2×C22⋊D79—416no—
396C2×C22⋊D79—41no—
397C2×C22⋊D79—41no—
398C2×C22⋊D79—41no—
399C2×C22⋊D79—41no—
400C22×Dic79—22no—
401C22×Dic79—22no—
402C22×Dic79—22no—
403C22×Dic79—22no—
404C22×Dic79—22no—
405C22×Dic79—41no—
406C22×Dic79—41no—
407C22×Dic79—41no—
408C22×Dic79—41no—
409C22×Dic79C2411yescharacteristic
410C22×Dic79C2411yescharacteristic
411C22×Dic79C2411yescharacteristic
412C22×Dic79C2411yescharacteristic
413C22×Dic79C2411yescharacteristic
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C2×C4×D79—22no—
424C2×C4×D79—22no—
425C2×C4×D79—41no—
426C2×C4×D79—41no—
427C2×C4×D79—41no—
428C2×C4×D79—41no—
429C2×C4×D79—41no—
430C2×C4×D79—41no—
431C2×C4×D79—41no—
432C2×C4×D79—41no—
433C2×C4×D79—41no—
434C2×C4×D79—41no—
435C4⋊Dic79—22no—
436C4⋊Dic79—22no—
437C4⋊Dic79—22no—
438C4⋊Dic79—22no—
439C4⋊Dic79—22no—
440C4⋊Dic79—41no—
441C4⋊Dic79—41no—
442C4⋊Dic79—41no—
443C4⋊Dic79—41no—
444Dic79⋊C4—22no—
445Dic79⋊C4—22no—
446Dic79⋊C4—22no—
447Dic79⋊C4—22no—
448Dic79⋊C4—22no—
449Dic79⋊C4—41no—
450Dic79⋊C4—41no—
451Dic79⋊C4—41no—
452Dic79⋊C4—41no—
453Dic79⋊C4—41no—
454Dic79⋊C4—41no—
455Dic79⋊C4—41no—
456Dic79⋊C4—41no—
457Dic79⋊C4—41no—
458Dic79⋊C4—41no—
459Dic79⋊C4—41no—
460Dic79⋊C4—41no—
461Dic79⋊C4—41no—
462Dic79⋊C4—41no—
463Dic79⋊C4—41no—
464C22⋊Dic79—22no—
465C22⋊Dic79—22no—
466C22⋊Dic79—22no—
467C22⋊Dic79—22no—
468C22⋊Dic79—22no—
469C22⋊Dic79—22no—
470C22⋊Dic79—41no—
471C22⋊Dic79—41no—
472C22⋊Dic79—41no—
473C22⋊Dic79—41no—
474C22⋊Dic79—41no—
475C22⋊Dic79—41no—
476C22⋊Dic79—41no—
477C22⋊Dic79—41no—
478C22⋊Dic79—41no—
479C22⋊Dic79—41no—
480C22⋊Dic79—41no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486(C2×D79)⋊C4—22no—
487(C2×D79)⋊C4—22no—
488(C2×D79)⋊C4—22no—
489(C2×D79)⋊C4—22no—
490(C2×D79)⋊C4—22no—
491(C2×D79)⋊C4—22no—
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—
501(C2×D79)⋊C4—41no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4—41no—
504C4×Dic79—22no—
505C4×Dic79—22no—
506C4×Dic79—41no—
507C4×Dic79—41no—
508C4×Dic79—41no—
509C4×Dic79—41no—
510C24×C79—22no—
511C24×C79—22no—
512C24×C79—22no—
513C24×C79—41no—
514C24×C79—41no—
515C24×C79—41no—
516C24×C79—41no—
517C24×C79C2411yescharacteristic
518C24×C79C2411yescharacteristic
519C24×C79C2411yescharacteristic
520C24×C79C2411yescharacteristic
521C2×D4×C79—22no—
522C2×D4×C79—22no—
523C2×D4×C79—22no—
524C2×D4×C79—41no—
525C2×D4×C79—41no—
526C2×D4×C79—41no—
527C2×D4×C79—41no—
528C2×D4×C79—41no—
529C2×D4×C79—41no—
530C22×C4×C79—22no—
531C22×C4×C79—22no—
532C22×C4×C79—22no—
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×C79C2411yescharacteristic
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
550C4⋊C4×C79—22no—
551C4⋊C4×C79—41no—
552C4⋊C4×C79—41no—
553C4⋊C4×C79—41no—
554C4⋊C4×C79—41no—
555C22⋊C4×C79—22no—
556C22⋊C4×C79—22no—
557C22⋊C4×C79—22no—
558C22⋊C4×C79—22no—
559C22⋊C4×C79—22no—
560C22⋊C4×C79—22no—
561C22⋊C4×C79—41no—
562C22⋊C4×C79—41no—
563C22⋊C4×C79—41no—
564C22⋊C4×C79—41no—
565C22⋊C4×C79—41no—
566C22⋊C4×C79—41no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79—41no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C42×C79—41no—
572C23×C79—21no—
573C23×C79—21no—
574C23×C79—21no—
575C23×C79—21no—
576C23×C79—21no—
577C23×C79—21no—
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—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79—21no—
596C23×C79—21no—
597C23×C79—44no—
598C23×C79—44no—
599C23×C79—44no—
600C23×C79—82no—
601C23×C79—82no—
602C23×C79—82no—
603C23×C79—82no—
604C23×C79C2×#4112yes—
605C23×C79H(5,𝔽2)12yes—
606C23×C792−1+412yes—
607C23×C79C2511yescharacteristic
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—28no—
621C22×D79—44no—
622C22×D79—44no—
623C22×D79—82no—
624C22×D79—82no—
625C22×D79—82no—
626C22×D79—82no—
627C22×D79C2×#4112yes—
628C22×D79C2×#4112yes—
629D4×C79—44no—
630D4×C79—82no—
631D4×C79—82no—
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—44no—
665C2×C4×C79—82no—
666C2×C4×C79—82no—
667C2×C4×C79H(5,𝔽2)12yes—
668C22⋊D79—44no—
669C22⋊D79—44no—
670C22⋊D79—44no—
671C22⋊D79—44no—
672C22⋊D79—82no—
673C22⋊D79—82no—
674C2×Dic79—28no—
675C2×Dic79—21no—
676C2×Dic79—21no—
677C2×Dic79—21no—
678C2×Dic79—21no—
679C2×Dic79—21no—
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—44no—
716C2×Dic79—82no—
717C2×Dic79H(5,𝔽2)12yes—
718C2×Dic79H(5,𝔽2)12yes—
719C4×D79—82no—
720C4×D79—82no—
721C4×D79—82no—
722C4×D79—82no—
723Dic158—82no—
724C22×C79—22no—
725C22×C79—22no—
726C22×C79—22no—
727C22×C79—22no—
728C22×C79—22no—
729C22×C79—22no—
730C22×C79—41no—
731C22×C79—41no—
732C22×C79—41no—
733C22×C79—41no—
734C22×C79—41no—
735C22×C79—41no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
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—41no—
749C22×C79—41no—
750C22×C79—41no—
751C22×C79—88no—
752C22×C79#53914yes—
753C22×C79C22×#4111yescharacteristic
754C22×C79C2×H(5,𝔽2)11yescharacteristic
755C22×C79C2×H(5,𝔽2)11yescharacteristic
756C22×C79C2×H(5,𝔽2)11yescharacteristic
757C22×C79C2×H(5,𝔽2)11yescharacteristic
758C22×C79C2×2−1+411yescharacteristic
759C22×C79#58511yescharacteristic
760C2×D79—22no—
761C2×D79—22no—
762C2×D79—22no—
763C2×D79—22no—
764C2×D79—22no—
765C2×D79—22no—
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—88no—
775C4×C79—22no—
776C4×C79—41no—
777C4×C79—41no—
778C4×C79—41no—
779C4×C79—41no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786Dic79—22no—
787Dic79—22no—
788Dic79—41no—
789Dic79—41no—
790Dic79—41no—
791Dic79—41no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800#36807—791nomaximal, Sylow
801C2×C79—24no—
802C2×C79—81no—
803C2×C79—81no—
804C2×C79—81no—
805C2×C79C2×#53911yescharacteristic
806C2×C79#349011yescharacteristic
807C2×C79#350511yescharacteristic
808C2×C79#353611yescharacteristic
809C2×C79#354211yescharacteristic
810C2×C79#354311yescharacteristic
811C2×C79#356111yescharacteristic
812D79—42no—
813D79—42no—
814#2852—791no—
815#2851—791no—
816#2796—791no—
817#2786—791no—
818#2757—791no—
819#2740—791no—
820#2737—791no—
821#2723—791no—
822#2711—791no—
823#2711—791no—
824#2707—791no—
825#2706—791no—
826#2705—791no—
827#2705—791no—
828#2696—791no—
829#2694—791no—
830#2691—791no—
831#2681—791no—
832#2626—791no—
833#2622—791no—
834#2480—791no—
835#2473—791no—
836#2449—791no—
837#2437—791no—
838#2418D7911yescharacteristic, complemented
839#2412—791no—
840#2410—791no—
841#2405—791no—
842#2321—791no—
843#2315—791no—
844C2×#390—791no—
845C79#3680711yescharacteristic, complemented, Sylow
846C23×D4—791no—
847C2×#126—791no—
848C2×#126—791no—
849C2×#125—791no—
850C2×#125—791no—
851C2×#123—791no—
852C2×#123—791no—
853C2×#123—791no—
854C2×#123C2×D7911yescharacteristic, complemented
855C2×C22⋊Q8—791no—
856C2×C22⋊Q8—791no—
857C2×C22⋊Q8—791no—
858C2×#121—791no—
859C2×#121—791no—
860C2×#120—791no—
861C2×#120C2×D7911yescharacteristic
862C2×C4×D4C2×D7911yescharacteristic
863C22×C4⋊C4—791no—
864C22×C22⋊C4—791no—
865C22×C22⋊C4—791no—
866C22×C22⋊C4—791no—
867C22×C22⋊C4—791no—
868C22×C22⋊C4—791no—
869C22×C22⋊C4C2×D7911yescharacteristic
870C22×C42—791no—
871#400—791no—
872#399—791no—
873#399—791no—
874#399—791no—
875#399—791no—
876#399C2×D7911yescharacteristic, complemented
877#398—791no—
878#398—791no—
879#398—791no—
880#398—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#397C2×D7911yescharacteristic, complemented
891#396—791no—
892#396—791no—
893#396—791no—
894#396—791no—
895#396—791no—
896#396—791no—
897#396—791no—
898#396—791no—
899#395—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#394C2×D7911yescharacteristic, complemented
913#394C2×D7911yescharacteristic, complemented
914#393—791no—
915#393—791no—
916#393—791no—
917#392—791no—
918#392—791no—
919#390—791no—
920#390—791no—
921#390—791no—
922#390—791no—
923#390—791no—
924#390—791no—
925#390—791no—
926#390—791no—
927#390—791no—
928#390—791no—
929#389—791no—
930#389—791no—
931#389—791no—
932#389—791no—
933#388—791no—
934#388—791no—
935#388—791no—
936#388—791no—
937#388—791no—
938#388—791no—
939#388—791no—
940#388—791no—
941#388—791no—
942#388—791no—
943#388C2×D7911yescharacteristic, complemented
944#388C2×D7911yescharacteristic, complemented
945#387—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#387—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#386C2×D7911yescharacteristic
966#386C2×D7911yescharacteristic, complemented
967#385—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#385—791no—
977#385—791no—
978#385—791no—
979#385—791no—
980#385—791no—
981#385—791no—
982#385—791no—
983#385—791no—
984#385C2×D7911yescharacteristic
985#383—791no—
986#382—791no—
987#381—791no—
988#380—791no—
989#380—791no—
990#380—791no—
991#380—791no—
992#380—791no—
993#380—791no—
994#380—791no—
995#380C2×D7911yescharacteristic
996#379—791no—
997#379—791no—
998#379—791no—
999#379C2×D7911yescharacteristic
1000C4×C22⋊C4—791no—
1001C25—791no—
1002C25C22×D7911yescharacteristic
1003C22×Q8—791no—
1004C22×D4—3162no—
1005C22×D4—3162no—
1006C22×D4—791no—
1007C22×D4—791no—
1008C22×D4—791no—
1009C22×D4—791no—
1010C22×D4—791no—
1011C22×D4—791no—
1012C22×D4—1584no—
1013C22×D4C22×D7911yescharacteristic
1014C22×D4C22×D7911yescharacteristic
1015C22×D4C22×D7911yescharacteristic
1016C23×C4—791no—
1017C23×C4—791no—
1018C23×C4—791no—
1019C23×C4—791no—
1020C23×C4—791no—
1021C23×C4—791no—
1022C23×C4—791no—
1023C23×C4C22×D7911yescharacteristic
1024C23×C4C22×D7911yescharacteristic
1025C23×C4C22×D7911yescharacteristic
1026#126—3162no—
1027#126—3162no—
1028#125—3162no—
1029#125—3162no—
1030#123—42no—
1031#123—3162no—
1032#123—3162no—
1033#123—3162no—
1034C22⋊Q8—3162no—
1035C22⋊Q8—3162no—
1036C22⋊Q8—3162no—
1037#121—3162no—
1038#121—3162no—
1039#120—42no—
1040#120—1584no—
1041C4×D4—42no—
1042C2×C4⋊C4—3162no—
1043C2×C4⋊C4—791no—
1044C2×C4⋊C4—791no—
1045C2×C4⋊C4—791no—
1046C2×C4⋊C4—791no—
1047C2×C4⋊C4—791no—
1048C2×C4⋊C4—791no—
1049C2×C4⋊C4—791no—
1050C2×C4⋊C4—791no—
1051C2×C4⋊C4—791no—
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⋊C4—791no—
1072C2×C4⋊C4C22×D7911yescharacteristic
1073C2×C4⋊C4C22×D7911yescharacteristic
1074C2×C4⋊C4C22×D7911yescharacteristic
1075C2×C4⋊C4C22×D7911yescharacteristic
1076C2×C4⋊C4C22×D7911yescharacteristic
1077C2×C22⋊C4—42no—
1078C2×C22⋊C4—3162no—
1079C2×C22⋊C4—3162no—
1080C2×C22⋊C4—3162no—
1081C2×C22⋊C4—3162no—
1082C2×C22⋊C4—791no—
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—1584no—
1123C2×C22⋊C4C22×D7911yescharacteristic
1124C2×C22⋊C4C22×D7911yescharacteristic
1125C2×C22⋊C4C22×D7911yescharacteristic
1126C2×C22⋊C4C22×D7911yescharacteristic
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—3162no—
1140C2×C42—791no—
1141C2×C42—791no—
1142C2×C42—791no—
1143C2×C42—791no—
1144C2×C42—791no—
1145C2×C42—791no—
1146C2×C42C22×D7911yescharacteristic
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#95C22×D7911yescharacteristic
1178#95C22×D7911yescharacteristic
1179#95C22×D7911yescharacteristic
1180#95C22×D7911yescharacteristic
1181#95C22×D7911yescharacteristic
1182#95C22×D7911yescharacteristic
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—41no—
1187C24—41no—
1188C24—41no—
1189C24—41no—
1190C24—3161no—
1191C24—3161no—
1192C24—3161no—
1193C24—3161no—
1194C24—794no—
1195C24—791no—
1196C24—791no—
1197C24—1582no—
1198C24—1582no—
1199C24C23×D7911yescharacteristic
1200C24C23×D7911yescharacteristic
1201C24C23×D7911yescharacteristic
1202C24C23×D7911yescharacteristic
1203C2×Q8—3161no—
1204C2×Q8—3161no—
1205C2×Q8—3161no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—3161no—
1216C2×D4—3161no—
1217C2×D4—3161no—
1218C2×D4—3161no—
1219C2×D4—31616no—
1220C2×D4—3161no—
1221C2×D4—3161no—
1222C2×D4—3161no—
1223C2×D4—3161no—
1224C2×D4—1582no—
1225C2×D4—1582no—
1226C2×D4—1582no—
1227C2×D4—1582no—
1228C2×D4—1582no—
1229C2×D4—1582no—
1230C2×D4—1582no—
1231C2×D4—1582no—
1232C2×D4—1582no—
1233C2×D4—1582no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—3161no—
1244C22×C4—3161no—
1245C22×C4—3161no—
1246C22×C4—3161no—
1247C22×C4—3161no—
1248C22×C4—3161no—
1249C22×C4—3161no—
1250C22×C4—3161no—
1251C22×C4—3161no—
1252C22×C4—3161no—
1253C22×C4—3161no—
1254C22×C4—3161no—
1255C22×C4—3161no—
1256C22×C4—3161no—
1257C22×C4—791no—
1258C22×C4—791no—
1259C22×C4—791no—
1260C22×C4—791no—
1261C22×C4—791no—
1262C22×C4—791no—
1263C22×C4—791no—
1264C22×C4—791no—
1265C22×C4—791no—
1266C22×C4—791no—
1267C22×C4—791no—
1268C22×C4—791no—
1269C22×C4—791no—
1270C22×C4—791no—
1271C22×C4—1582no—
1272C22×C4—1582no—
1273C22×C4—1582no—
1274C22×C4—1582no—
1275C22×C4—1582no—
1276C22×C4—1582no—
1277C22×C4—1582no—
1278C22×C4C23×D7911yescharacteristic
1279C22×C4C23×D7911yescharacteristic
1280C22×C4C23×D7911yescharacteristic
1281C22×C4C23×D7911yescharacteristic
1282C22×C4C23×D7911yescharacteristic
1283C22×C4C23×D7911yescharacteristic
1284C22×C4C23×D7911yescharacteristic
1285C22×C4C23×D7911yescharacteristic
1286C22×C4C23×D7911yescharacteristic
1287C22×C4C23×D7911yescharacteristic
1288C22×C4C23×D7911yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—3161no—
1295C4⋊C4—3161no—
1296C4⋊C4—3161no—
1297C4⋊C4—3161no—
1298C4⋊C4—3161no—
1299C4⋊C4—3161no—
1300C4⋊C4—3161no—
1301C4⋊C4—3161no—
1302C4⋊C4—3161no—
1303C4⋊C4—3161no—
1304C4⋊C4—3161no—
1305C4⋊C4—3161no—
1306C4⋊C4—3161no—
1307C4⋊C4—3161no—
1308C4⋊C4—3161no—
1309C4⋊C4—3161no—
1310C4⋊C4—3161no—
1311C4⋊C4—3161no—
1312C4⋊C4—3161no—
1313C4⋊C4—1582no—
1314C4⋊C4—1582no—
1315C4⋊C4—1582no—
1316C4⋊C4—1582no—
1317C4⋊C4—1582no—
1318C4⋊C4—1582no—
1319C4⋊C4—1582no—
1320C4⋊C4—1582no—
1321C4⋊C4—1582no—
1322C4⋊C4—1582no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
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—1582no—
1368C22⋊C4—1582no—
1369C22⋊C4—1582no—
1370C22⋊C4—1582no—
1371C22⋊C4—1582no—
1372C22⋊C4—1582no—
1373C22⋊C4—1582no—
1374C22⋊C4—1582no—
1375C22⋊C4—1582no—
1376C22⋊C4—1582no—
1377C22⋊C4—1582no—
1378C22⋊C4—1582no—
1379C42—41no—
1380C42—3161no—
1381C42—3161no—
1382C42—3161no—
1383C42—3161no—
1384C42—1582no—
1385C42—1582no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
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—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—82no—
1415C23—82no—
1416C23—82no—
1417C23—82no—
1418C23—3164no—
1419C23—3164no—
1420C23—792no—
1421C23—792no—
1422C23—6322no—
1423C23—6322no—
1424C23—6322no—
1425C23—6322no—
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—1588no—
1439C23#41×D7912yes—
1440C23#1457920612yes—
1441C23#1457920812yes—
1442C23C24×D7911yescharacteristic
1443Q8—6322no—
1444D4—44no—
1445D4—82no—
1446D4—82no—
1447D4—3164no—
1448D4—3164no—
1449D4—3164no—
1450D4—3164no—
1451D4—6322no—
1452D4—6322no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
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—44no—
1486C2×C4—82no—
1487C2×C4—82no—
1488C2×C4—3164no—
1489C2×C4—792no—
1490C2×C4—792no—
1491C2×C4—6322no—
1492C2×C4—6322no—
1493C2×C4—6322no—
1494C2×C4—6322no—
1495C2×C4—6322no—
1496C2×C4—1581no—
1497C2×C4—1581no—
1498C2×C4—1581no—
1499C2×C4—1581no—
1500C2×C4—1581no—
1501C2×C4—1581no—
1502C2×C4—1581no—
1503C2×C4—1581no—
1504C2×C4—1581no—
1505C2×C4—1581no—
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—1588no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×C4#1457920612yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—88no—
1566C22—3161no—
1567C22—3161no—
1568C22—3161no—
1569C22—3161no—
1570C22—3161no—
1571C22—3161no—
1572C22—3161no—
1573C22—3161no—
1574C22—6328no—
1575C22—1582no—
1576C22—1582no—
1577C22—1582no—
1578C22—1582no—
1579C22—1582no—
1580C22—1582no—
1581C22#1909915614yes—
1582C22C2×#41×D7911yescharacteristic
1583C22H(5,𝔽2)×D7911yescharacteristic
1584C22H(5,𝔽2)×D7911yescharacteristic
1585C22C2×#1457920611yescharacteristic
1586C22C2×#1457920611yescharacteristic
1587C22C2×#1457920811yescharacteristic
1588C22#1909939911yescharacteristic
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—3161no—
1601C4—3161no—
1602C4—3161no—
1603C4—3161no—
1604C4—3161no—
1605C4—3161no—
1606C4—3161no—
1607C4—3161no—
1608C4—3161no—
1609C4—3161no—
1610C4—3161no—
1611C4—3161no—
1612C4—1582no—
1613C4—1582no—
1614C2—24no—
1615C2—81no—
1616C2—81no—
1617C2—81no—
1618C2—3162no—
1619C2—3162no—
1620C2C2×#1909915611yescharacteristic
1621C2#2377708611yescharacteristic
1622C2#2377722811yescharacteristic
1623C2#2377761511yescharacteristic
1624C2#2377770111yescharacteristic
1625C2#2377772511yescharacteristic
1626C2#2377795811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2418C2
prime radical#23766770C2
hypercenter#2418D79
hypocenterC79#36807
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. #23771713C2semidirect
2. #23771708C2semidirect
3. #23771239C2semidirect
4. #23771115C2semidirect
5. #23770734C2semidirect
6. #23770503C2semidirect
7. #23770460C2semidirect
8. #23770312C2semidirect
9. #23770164C2semidirect
10. #23770162C2semidirect
11. #23770100C2semidirect
12. #23770082C2semidirect
13. #23770079C2semidirect
14. #23770066C2semidirect
15. #23769951C2semidirect
16. #23769922C2semidirect
17. #23769876C2semidirect
18. #23769752C2semidirect
19. #23769209C2semidirect
20. #23769175C2semidirect
21. #23767640C2semidirect
22. #23767543C2semidirect
23. #23767203C2semidirect
24. #23767068C2semidirect
25. #23766795C2semidirect
27. #23766725C2semidirect
28. #23766054C2semidirect
29. #23766011C2semidirect
30. C2×#19098463C2semidirect
31. C79×#2418C2semidirect
33. C2×#14579154C22semidirect
34. C2×#14579154C22semidirect
35. C2×#14579152C22semidirect
36. C2×#14579151C22semidirect
39. C2×#14579143C22semidirect
40. C2×#14579140C22semidirect
41. C2×#14579139C22semidirect
53. #19098504C22semidirect
54. #19098499C22semidirect
55. #19098499C22semidirect
56. #19098499C22semidirect
57. #19098498C22semidirect
58. #19098497C22semidirect
59. #19098496C22semidirect
60. #19098496C22semidirect
61. #19098494C22semidirect
62. #19098492C22semidirect
63. #19098491C22semidirect
64. #19098491C22semidirect
65. #19098491C22semidirect
66. #19098491C22semidirect
67. #19098491C22semidirect
68. #19098491C22semidirect
69. #19098490C22semidirect
70. #19098488C22semidirect
71. #19098487C22semidirect
72. #19098486C22semidirect
73. #19098486C22semidirect
74. #19098486C22semidirect
75. #19098486C22semidirect
76. #19098486C22semidirect
77. #19098486C22semidirect
78. #19098485C22semidirect
79. #19098483C22semidirect
84. #19098479C22semidirect
87. #19098478C22semidirect
88. #19098477C22semidirect
89. #19098477C22semidirect
90. #19098477C22semidirect
91. #19098477C22semidirect
92. #19098476C22semidirect
93. #19098475C22semidirect
94. #19098475C22semidirect
105. #19098463C22semidirect
106. #19098463C22semidirect
107. #19098462C22semidirect
108. #19098461C22semidirect
109. #19098459C22semidirect
110. #19098458C22semidirect
111. #19098457C22semidirect
112. #19098457C22semidirect
113. #19098456C22semidirect
114. #19098456C22semidirect
115. #19098454C22semidirect
116. #19098454C22semidirect
117. #19098453C22semidirect
118. #19098453C22semidirect
119. #19098451C22semidirect
120. #19098451C22semidirect
121. #19098450C22semidirect
122. #19098450C22semidirect
123. #19098450C22semidirect
124. #19098448C22semidirect
125. #19098448C22semidirect
126. #19098447C22semidirect
127. #19098446C22semidirect
128. #19098446C22semidirect
129. #19098445C22semidirect
130. #19098445C22semidirect
134. #19098442C22semidirect
135. #19098442C22semidirect
140. #19098439C22semidirect
144. #19098437C22semidirect
145. #19098437C22semidirect
146. #19098437C22semidirect
147. #19098437C22semidirect
150. #19098436C22semidirect
155. #19098434C22semidirect
156. #19098434C22semidirect
157. #19098434C22semidirect
158. #19098430C22semidirect
159. #19098428C22semidirect
160. #19098425C22semidirect
162. #19098422C22semidirect
163. #19098422C22semidirect
164. #19098422C22semidirect
166. #19098420C22semidirect
167. #19098420C22semidirect
172. C2×#123×C79C22semidirect
176. #399×C79C22semidirect
177. #397×C79C22semidirect
178. #394×C79C22semidirect
179. #394×C79C22semidirect
180. #388×C79C22semidirect
181. #388×C79C22semidirect
183. #386×C79C22semidirect
838. #2418D79semidirect
845. C79#36807semidirect
854. C2×#123C2×D79semidirect
876. #399C2×D79semidirect
890. #397C2×D79semidirect
912. #394C2×D79semidirect
913. #394C2×D79semidirect
943. #388C2×D79semidirect
944. #388C2×D79semidirect
966. #386C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237717132
#237717082
#237712392
#237711152
#237707342
#237705032
#237704602
#237703122
#237701642
#237701622
#237701002
#237700822
#237700792
#237700662
#237699512
#237699222
#237698762
#237697522
#237692092
#237691752
#237676402
#237675432
#237672032
#237670682
#237667952
#237667702
#237667252
#237660542
#237660112
C2×#190984632
C79×#24182
#3680779