Finite Group Databasebeta

← #34496565

Subgroups — #34496565

Order 20224.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771687C211yesmaximal, characteristic, complemented
2#23771072C211yesmaximal, characteristic, complemented
3#23770634C211yesmaximal, characteristic, complemented
4#23770584C211yesmaximal, characteristic, complemented
5#23770579C211yesmaximal, characteristic, complemented
6#23770536C211yesmaximal, characteristic, complemented
7#23770373C211yesmaximal, characteristic, complemented
8#23770116C211yesmaximal, characteristic, complemented
9#23770114C211yesmaximal, characteristic, complemented
10#23770082C211yesmaximal, characteristic, complemented
11#23769951C211yesmaximal, characteristic, complemented
12#23769933C211yesmaximal, characteristic, complemented
13#23769906C211yesmaximal, characteristic, complemented
14#23769905C211yesmaximal, characteristic, complemented
15#23769876C211yesmaximal, characteristic, complemented
16#23769821C211yesmaximal, characteristic, complemented
17#23769752C211yesmaximal, characteristic, complemented
18#23769372C211yesmaximal, characteristic, complemented
19#23769355C211yesmaximal, characteristic, complemented
20#23767905C211yesmaximal, characteristic, complemented
21#23767645C211yesmaximal, characteristic, complemented
22#23767228C211yesmaximal, characteristic, complemented
23#23767065C211yesmaximal, characteristic, complemented
24#23766858C211yesmaximal, characteristic, complemented
25#23766795C211yesmaximal, characteristic, complemented
26#23766770C211yesmaximal, characteristic
27#23766725C211yesmaximal, characteristic, complemented
28#23766063C211yesmaximal, characteristic, complemented
29#23766011C211yesmaximal, characteristic, complemented
30C2×#19098442C211yesmaximal, characteristic, complemented
31C79×#2849C211yesmaximal, characteristic, complemented
32C23×C22⋊D79C2211yescharacteristic
33C2×#14579154C2211yescharacteristic, complemented
34C2×#14579143C2211yescharacteristic
35C2×#14579143C2211yescharacteristic
36C2×#14579143C2211yescharacteristic, complemented
37C2×#14579142C2211yescharacteristic, complemented
38C2×#14579140C2211yescharacteristic
39C2×#14579140C2211yescharacteristic, complemented
40C2×#14579140C2211yescharacteristic, complemented
41C2×#14579139C2211yescharacteristic, complemented
42C2×#14579132C2211yescharacteristic
43C2×#14579132C2211yescharacteristic
44C2×#14579129C2211yescharacteristic
45C2×D4×Dic79C2211yescharacteristic
46C22×C22⋊Dic79C2211yescharacteristic
47C22×(C2×D79)⋊C4C2211yescharacteristic
48C22×(C2×D79)⋊C4C2211yescharacteristic
49C2×C22⋊C4×D79C2211yescharacteristic
50C2×C22⋊C4×D79C2211yescharacteristic
51C79⋊#401C2211yescharacteristic, complemented
52#19098505C2211yescharacteristic, complemented
53#19098505C2211yescharacteristic, complemented
54#19098505C2211yescharacteristic, complemented
55#19098504C2211yescharacteristic, complemented
56#19098504C2211yescharacteristic, complemented
57#19098504C2211yescharacteristic, complemented
58#19098503C2211yescharacteristic, complemented
59#19098503C2211yescharacteristic, complemented
60#19098502C2211yescharacteristic, complemented
61#19098502C2211yescharacteristic, complemented
62#19098501C2211yescharacteristic, complemented
63#19098499C2211yescharacteristic, complemented
64#19098498C2211yescharacteristic, complemented
65#19098497C2211yescharacteristic, complemented
66#19098496C2211yescharacteristic, complemented
67#19098495C2211yescharacteristic, complemented
68#19098495C2211yescharacteristic, complemented
69#19098494C2211yescharacteristic, complemented
70#19098493C2211yescharacteristic, complemented
71#19098492C2211yescharacteristic, complemented
72#19098491C2211yescharacteristic, complemented
73#19098491C2211yescharacteristic, complemented
74#19098491C2211yescharacteristic, complemented
75#19098491C2211yescharacteristic, complemented
76#19098490C2211yescharacteristic, complemented
77#19098488C2211yescharacteristic, complemented
78#19098488C2211yescharacteristic, complemented
79#19098488C2211yescharacteristic, complemented
80#19098487C2211yescharacteristic, complemented
81#19098486C2211yescharacteristic, complemented
82#19098486C2211yescharacteristic, complemented
83#19098486C2211yescharacteristic, complemented
84#19098485C2211yescharacteristic, complemented
85#19098479C2211yescharacteristic
86#19098479C2211yescharacteristic
87#19098479C2211yescharacteristic
88#19098479C2211yescharacteristic
89#19098479C2211yescharacteristic, complemented
90#19098478C2211yescharacteristic
91#19098478C2211yescharacteristic
92#19098478C2211yescharacteristic, complemented
93#19098477C2211yescharacteristic, complemented
94#19098477C2211yescharacteristic, complemented
95#19098476C2211yescharacteristic, complemented
96#19098475C2211yescharacteristic, complemented
97#19098471C2211yescharacteristic
98#19098471C2211yescharacteristic
99#19098467C2211yescharacteristic, complemented
100#19098463C2211yescharacteristic, complemented
101#19098463C2211yescharacteristic, complemented
102#19098462C2211yescharacteristic, complemented
103#19098457C2211yescharacteristic, complemented
104#19098456C2211yescharacteristic, complemented
105#19098455C2211yescharacteristic, complemented
106#19098455C2211yescharacteristic, complemented
107#19098452C2211yescharacteristic, complemented
108#19098452C2211yescharacteristic, complemented
109#19098451C2211yescharacteristic, complemented
110#19098451C2211yescharacteristic, complemented
111#19098451C2211yescharacteristic, complemented
112#19098450C2211yescharacteristic, complemented
113#19098446C2211yescharacteristic, complemented
114#19098446C2211yescharacteristic, complemented
115#19098443C2211yescharacteristic
116#19098443C2211yescharacteristic
117#19098443C2211yescharacteristic, complemented
118#19098442C2211yescharacteristic
119#19098442C2211yescharacteristic
120#19098442C2211yescharacteristic
121#19098442C2211yescharacteristic
122#19098442C2211yescharacteristic
123#19098442C2211yescharacteristic
124#19098442C2211yescharacteristic
125#19098442C2211yescharacteristic
126#19098440C2211yescharacteristic, complemented
127#19098440C2211yescharacteristic, complemented
128#19098439C2211yescharacteristic
129#19098439C2211yescharacteristic
130#19098439C2211yescharacteristic
131#19098439C2211yescharacteristic
132#19098439C2211yescharacteristic, complemented
133#19098438C2211yescharacteristic
134#19098438C2211yescharacteristic
135#19098438C2211yescharacteristic
136#19098438C2211yescharacteristic, complemented
137#19098437C2211yescharacteristic, complemented
138#19098437C2211yescharacteristic, complemented
139#19098437C2211yescharacteristic, complemented
140#19098437C2211yescharacteristic, complemented
141#19098436C2211yescharacteristic
142#19098436C2211yescharacteristic
143#19098436C2211yescharacteristic, complemented
144#19098436C2211yescharacteristic, complemented
145#19098436C2211yescharacteristic, complemented
146#19098436C2211yescharacteristic, complemented
147#19098435C2211yescharacteristic
148#19098435C2211yescharacteristic
149#19098435C2211yescharacteristic
150#19098434C2211yescharacteristic, complemented
151#19098434C2211yescharacteristic, complemented
152#19098434C2211yescharacteristic, complemented
153#19098428C2211yescharacteristic, complemented
154#19098425C2211yescharacteristic, complemented
155#19098423C2211yescharacteristic
156#19098423C2211yescharacteristic, complemented
157#19098423C2211yescharacteristic, complemented
158#19098422C2211yescharacteristic, complemented
159#19098422C2211yescharacteristic, complemented
160#19098422C2211yescharacteristic, complemented
161#19098421C2211yescharacteristic
162#19098421C2211yescharacteristic
163#19098421C2211yescharacteristic, complemented
164#19098420C2211yescharacteristic, complemented
165#19098420C2211yescharacteristic, complemented
166#19098419C2211yescharacteristic
167#19098419C2211yescharacteristic
168#19098418C2211yescharacteristic
169C22⋊C4×Dic79C2211yescharacteristic
170C2×C79⋊#95C2211yescharacteristic
171C2×C79⋊#95C2211yescharacteristic
172C24×C4×C79C2211yescharacteristic
173C2×#123×C79C2211yescharacteristic, complemented
174C2×#123×C79C2211yescharacteristic, complemented
175C2×#120×C79C2211yescharacteristic
176#386×C79C2211yescharacteristic
177#386×C79C2211yescharacteristic
178#386×C79C2211yescharacteristic, complemented
179#386×C79C2211yescharacteristic, complemented
180#385×C79C2211yescharacteristic
181#385×C79C2211yescharacteristic
182#385×C79C2211yescharacteristic, complemented
183#385×C79C2211yescharacteristic, complemented
184#381×C79C2211yescharacteristic, complemented
185#381×C79C2211yescharacteristic, complemented
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
201C23×Dic79C2311yescharacteristic
202C22×C4×D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206#14579154—42no—
207#14579143—42no—
208#14579143—42no—
209#14579143—42no—
210#14579142—42no—
211#14579140—42no—
212#14579140—42no—
213#14579140—42no—
214#14579139—42no—
215#14579132—42no—
216#14579132—42no—
217#14579129—24no—
218D4×Dic79—42no—
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×C4⋊Dic79C2311yescharacteristic
228C2×C4⋊Dic79C2311yescharacteristic
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×C22⋊Dic79—42no—
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×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×(C2×D79)⋊C4—42no—
268C2×(C2×D79)⋊C4—42no—
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
287C22⋊C4×D79—24no—
288C22⋊C4×D79—42no—
289C2×C4×Dic79C2311yescharacteristic
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C79⋊#95C2311yescharacteristic
293C79⋊#95C2311yescharacteristic
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×D4×C79C2311yescharacteristic
330C22×D4×C79C2311yescharacteristic
331C22×D4×C79C2311yescharacteristic
332C23×C4×C79—42no—
333C23×C4×C79—42no—
334C23×C4×C79—42no—
335C23×C4×C79C2311yescharacteristic
336C23×C4×C79C2311yescharacteristic
337C23×C4×C79C2311yescharacteristic
338C23×C4×C79C2311yescharacteristic
339C23×C4×C79C2311yescharacteristic
340C23×C4×C79C2311yescharacteristic
341#123×C79—42no—
342#123×C79—42no—
343#120×C79—42no—
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C4⋊C4×C79C2311yescharacteristic
346C2×C4⋊C4×C79C2311yescharacteristic
347C2×C4⋊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
361#95×C79C2311yescharacteristic
362#95×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—22no—
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—41no—
404C22×Dic79—41no—
405C22×Dic79—41no—
406C22×Dic79—41no—
407C22×Dic79—41no—
408C22×Dic79—41no—
409C22×Dic79—41no—
410C22×Dic79—41no—
411C22×Dic79—41no—
412C22×Dic79C2411yescharacteristic
413C22×Dic79C2411yescharacteristic
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C2×C4×D79—22no—
427C2×C4×D79—22no—
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—
435C2×C4×D79—41no—
436C2×C4×D79—41no—
437C2×C4×D79—41no—
438C4⋊Dic79—22no—
439C4⋊Dic79—41no—
440C4⋊Dic79—41no—
441C4⋊Dic79—41no—
442C4⋊Dic79—41no—
443C4⋊Dic79—41no—
444C4⋊Dic79—41no—
445C4⋊Dic79—41no—
446C4⋊Dic79—41no—
447C4⋊Dic79—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—
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—22no—
471C22⋊Dic79—22no—
472C22⋊Dic79—22no—
473C22⋊Dic79—22no—
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—
485(C2×D79)⋊C4—22no—
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—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—
501(C2×D79)⋊C4—41no—
502(C2×D79)⋊C4—41no—
503C4×Dic79—41no—
504C4×Dic79—41no—
505C4×Dic79—41no—
506C24×C79—22no—
507C24×C79—22no—
508C24×C79—22no—
509C24×C79—22no—
510C24×C79—22no—
511C24×C79—41no—
512C24×C79—41no—
513C24×C79C2411yescharacteristic
514C24×C79C2411yescharacteristic
515C24×C79C2411yescharacteristic
516C24×C79C2411yescharacteristic
517C2×D4×C79—22no—
518C2×D4×C79—22no—
519C2×D4×C79—22no—
520C2×D4×C79—22no—
521C2×D4×C79—22no—
522C2×D4×C79—41no—
523C2×D4×C79—41no—
524C2×D4×C79—41no—
525C2×D4×C79—41no—
526C22×C4×C79—22no—
527C22×C4×C79—22no—
528C22×C4×C79—22no—
529C22×C4×C79—22no—
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×C79—41no—
540C22×C4×C79—41no—
541C22×C4×C79—41no—
542C22×C4×C79—41no—
543C22×C4×C79—41no—
544C22×C4×C79—416no—
545C22×C4×C79C2411yescharacteristic
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C22×C4×C79C2411yescharacteristic
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C4⋊C4×C79—22no—
557C4⋊C4×C79—41no—
558C4⋊C4×C79—41no—
559C4⋊C4×C79—41no—
560C22⋊C4×C79—22no—
561C22⋊C4×C79—22no—
562C22⋊C4×C79—22no—
563C22⋊C4×C79—22no—
564C22⋊C4×C79—22no—
565C22⋊C4×C79—22no—
566C22⋊C4×C79—41no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79—41no—
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—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—44no—
601C23×C79—44no—
602C23×C79—44no—
603C23×C79C2×#4112yes—
604C23×C79H(5,𝔽2)12yes—
605C23×C79H(5,𝔽2)12yes—
606C23×C79H(5,𝔽2)12yes—
607C23×C792−1+412yes—
608C23×C79C2511yescharacteristic
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—28no—
622C22×D79—44no—
623C22×D79—44no—
624C22×D79—82no—
625C22×D79—82no—
626C22×D79—82no—
627C22×D79—82no—
628C22×D79C2×#4112yes—
629C22×D79C2×#4112yes—
630D4×C79—44no—
631D4×C79—82no—
632D4×C79—82no—
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—44no—
666C2×C4×C79—44no—
667C2×C4×C79—44no—
668C2×C4×C79—44no—
669C2×C4×C79—44no—
670C2×C4×C79—44no—
671C2×C4×C79H(5,𝔽2)12yes—
672C22⋊D79—44no—
673C22⋊D79—44no—
674C22⋊D79—44no—
675C22⋊D79—44no—
676C22⋊D79—82no—
677C22⋊D79—82no—
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—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—44no—
721C2×Dic79—82no—
722C2×Dic79—82no—
723C2×Dic79—82no—
724C4×D79—82no—
725C4×D79—82no—
726C4×D79—82no—
727C4×D79—82no—
728Dic158—82no—
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—22no—
740C22×C79—22no—
741C22×C79—416no—
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—41no—
752C22×C79—41no—
753C22×C79—41no—
754C22×C79—41no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79#53914yes—
758C22×C79C22×#4111yescharacteristic
759C22×C79C2×H(5,𝔽2)11yescharacteristic
760C22×C79C2×H(5,𝔽2)11yescharacteristic
761C22×C79C2×H(5,𝔽2)11yescharacteristic
762C22×C79C2×H(5,𝔽2)11yescharacteristic
763C22×C79C2×2−1+411yescharacteristic
764C22×C79#58511yescharacteristic
765C2×D79—22no—
766C2×D79—22no—
767C2×D79—22no—
768C2×D79—22no—
769C2×D79—22no—
770C2×D79—22no—
771C2×D79—41no—
772C2×D79—41no—
773C2×D79—41no—
774C2×D79—41no—
775C2×D79—41no—
776C2×D79—41no—
777C2×D79—41no—
778C2×D79—41no—
779C2×D79—88no—
780C4×C79—22no—
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—
790C4×C79—41no—
791Dic79—41no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800Dic79—41no—
801Dic79—41no—
802Dic79—41no—
803Dic79—41no—
804Dic79—41no—
805#36775—791nomaximal, Sylow
806C2×C79—24no—
807C2×C79—42no—
808C2×C79—42no—
809C2×C79—81no—
810C2×C79C2×#53911yescharacteristic
811C2×C79#349011yescharacteristic
812C2×C79#350511yescharacteristic
813C2×C79#353211yescharacteristic
814C2×C79#353411yescharacteristic
815C2×C79#353511yescharacteristic
816C2×C79#353611yescharacteristic
817D79—42no—
818D79—42no—
819#2849D7911yescharacteristic, complemented
820#2848—791no—
821#2782—791no—
822#2750—791no—
823#2746—791no—
824#2746—791no—
825#2743—791no—
826#2728—791no—
827#2708—791no—
828#2708—791no—
829#2706—791no—
830#2696—791no—
831#2695—791no—
832#2693—791no—
833#2693—791no—
834#2691—791no—
835#2687—791no—
836#2681—791no—
837#2646—791no—
838#2643—791no—
839#2505—791no—
840#2480—791no—
841#2450—791no—
842#2437—791no—
843#2418—791no—
844#2412—791no—
845#2410—791no—
846#2405—791no—
847#2321—791no—
848#2315—791no—
849C2×#386—791no—
850C79#3677511yescharacteristic, complemented, Sylow
851C23×D4—791no—
852C24×C4C2×D7911yescharacteristic
853C2×#126—791no—
854C2×#123—791no—
855C2×#123—791no—
856C2×#123—791no—
857C2×#123—791no—
858C2×#123C2×D7911yescharacteristic, complemented
859C2×#123C2×D7911yescharacteristic, complemented
860C2×C22⋊Q8—791no—
861C2×C22⋊Q8—791no—
862C2×C22⋊Q8—791no—
863C2×C22⋊Q8—791no—
864C2×#121—791no—
865C2×#121—791no—
866C2×#120—791no—
867C2×#120C2×D7911yescharacteristic
868C2×C4×D4—791no—
869C22×C22⋊C4—791no—
870C22×C22⋊C4—791no—
871C22×C22⋊C4—791no—
872C22×C22⋊C4—791no—
873C22×C22⋊C4—791no—
874#401—791no—
875#400—791no—
876#400—791no—
877#400—791no—
878#400—791no—
879#400—791no—
880#400—791no—
881#400—791no—
882#400—791no—
883#400—791no—
884#400—791no—
885#400—791no—
886#399—791no—
887#399—791no—
888#398—791no—
889#398—791no—
890#398—791no—
891#398—791no—
892#398—791no—
893#398—791no—
894#397—791no—
895#397—791no—
896#397—791no—
897#397—791no—
898#397—791no—
899#397—791no—
900#397—791no—
901#397—791no—
902#397—791no—
903#396—791no—
904#396—791no—
905#396—791no—
906#396—791no—
907#396—791no—
908#394—791no—
909#394—791no—
910#394—791no—
911#394—791no—
912#394—791no—
913#394—791no—
914#394—791no—
915#394—791no—
916#394—791no—
917#394—791no—
918#393—791no—
919#393—791no—
920#392—791no—
921#392—791no—
922#391—791no—
923#390—791no—
924#390—791no—
925#389—791no—
926#388—791no—
927#388—791no—
928#388—791no—
929#388—791no—
930#388—791no—
931#388—791no—
932#388—791no—
933#388—791no—
934#388—791no—
935#387—791no—
936#387—791no—
937#387—791no—
938#386—791no—
939#386—791no—
940#386—791no—
941#386—791no—
942#386—791no—
943#386—791no—
944#386—791no—
945#386—791no—
946#386—791no—
947#386—791no—
948#386—791no—
949#386—791no—
950#386—791no—
951#386—791no—
952#386—791no—
953#386—791no—
954#386—791no—
955#386—791no—
956#386C2×D7911yescharacteristic
957#386C2×D7911yescharacteristic
958#386C2×D7911yescharacteristic, complemented
959#386C2×D7911yescharacteristic, complemented
960#385—791no—
961#385—791no—
962#385—791no—
963#385—791no—
964#385—791no—
965#385—791no—
966#385—791no—
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#385C2×D7911yescharacteristic
981#385C2×D7911yescharacteristic
982#385C2×D7911yescharacteristic, complemented
983#385C2×D7911yescharacteristic, complemented
984#382—791no—
985#381—791no—
986#381C2×D7911yescharacteristic, complemented
987#381C2×D7911yescharacteristic, complemented
988#380—791no—
989#380—791no—
990#380—791no—
991#380—791no—
992#380—791no—
993#380—791no—
994#380—791no—
995#380—791no—
996#380—791no—
997#380—791no—
998#380—791no—
999#379—791no—
1000#379—791no—
1001#379—791no—
1002#379C2×D7911yescharacteristic
1003C4×C22⋊C4—791no—
1004C2×#95—791no—
1005C2×#95—791no—
1006C25—791no—
1007C25C22×D7911yescharacteristic
1008C22×Q8—791no—
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—1584no—
1018C22×D4C22×D7911yescharacteristic
1019C22×D4C22×D7911yescharacteristic
1020C22×D4C22×D7911yescharacteristic
1021C23×C4—42no—
1022C23×C4—42no—
1023C23×C4—42no—
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4—791no—
1027C23×C4—791no—
1028C23×C4—791no—
1029C23×C4—791no—
1030C23×C4—791no—
1031C23×C4—791no—
1032C23×C4C22×D7911yescharacteristic
1033C23×C4C22×D7911yescharacteristic
1034C23×C4C22×D7911yescharacteristic
1035C23×C4C22×D7911yescharacteristic
1036C23×C4C22×D7911yescharacteristic
1037C23×C4C22×D7911yescharacteristic
1038#126—3162no—
1039#123—42no—
1040#123—42no—
1041#123—3162no—
1042#123—3162no—
1043#123—3162no—
1044#123—3162no—
1045C22⋊Q8—3162no—
1046C22⋊Q8—3162no—
1047C22⋊Q8—3162no—
1048C22⋊Q8—3162no—
1049#121—3162no—
1050#121—3162no—
1051#120—42no—
1052#120—1584no—
1053C4×D4—3162no—
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⋊C4—791no—
1073C2×C4⋊C4—791no—
1074C2×C4⋊C4—791no—
1075C2×C4⋊C4—791no—
1076C2×C4⋊C4—791no—
1077C2×C4⋊C4—791no—
1078C2×C4⋊C4—791no—
1079C2×C4⋊C4—791no—
1080C2×C4⋊C4C22×D7911yescharacteristic
1081C2×C4⋊C4C22×D7911yescharacteristic
1082C2×C4⋊C4C22×D7911yescharacteristic
1083C2×C4⋊C4C22×D7911yescharacteristic
1084C2×C22⋊C4—3162no—
1085C2×C22⋊C4—3162no—
1086C2×C22⋊C4—3162no—
1087C2×C22⋊C4—3162no—
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⋊C4—1584no—
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×C22⋊C4C22×D7911yescharacteristic
1140C2×C22⋊C4C22×D7911yescharacteristic
1141C2×C42—791no—
1142C2×C42—791no—
1143C2×C42—791no—
1144#95—791no—
1145#95—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
1186#95C22×D7911yescharacteristic
1187#95C22×D7911yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—41no—
1194C24—41no—
1195C24—3161no—
1196C24—3161no—
1197C24—3161no—
1198C24—3161no—
1199C24—794no—
1200C24—791no—
1201C24—791no—
1202C24—1582no—
1203C24—1582no—
1204C24C23×D7911yescharacteristic
1205C24C23×D7911yescharacteristic
1206C24C23×D7911yescharacteristic
1207C24C23×D7911yescharacteristic
1208C2×Q8—3161no—
1209C2×Q8—3161no—
1210C2×Q8—1582no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—31616no—
1221C2×D4—3161no—
1222C2×D4—3161no—
1223C2×D4—3161no—
1224C2×D4—3161no—
1225C2×D4—3161no—
1226C2×D4—3161no—
1227C2×D4—3161no—
1228C2×D4—3161no—
1229C2×D4—1582no—
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—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—416no—
1258C22×C4—3161no—
1259C22×C4—3161no—
1260C22×C4—3161no—
1261C22×C4—3161no—
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—3161no—
1271C22×C4—3161no—
1272C22×C4—3161no—
1273C22×C4—3161no—
1274C22×C4—3161no—
1275C22×C4—3161no—
1276C22×C4—3161no—
1277C22×C4—791no—
1278C22×C4—791no—
1279C22×C4—791no—
1280C22×C4—791no—
1281C22×C4—791no—
1282C22×C4—791no—
1283C22×C4—791no—
1284C22×C4—791no—
1285C22×C4—791no—
1286C22×C4—791no—
1287C22×C4—791no—
1288C22×C4—791no—
1289C22×C4—791no—
1290C22×C4—791no—
1291C22×C4—1582no—
1292C22×C4—1582no—
1293C22×C4—1582no—
1294C22×C4—1582no—
1295C22×C4—1582no—
1296C22×C4C23×D7911yescharacteristic
1297C22×C4C23×D7911yescharacteristic
1298C22×C4C23×D7911yescharacteristic
1299C22×C4C23×D7911yescharacteristic
1300C22×C4C23×D7911yescharacteristic
1301C22×C4C23×D7911yescharacteristic
1302C22×C4C23×D7911yescharacteristic
1303C22×C4C23×D7911yescharacteristic
1304C22×C4C23×D7911yescharacteristic
1305C22×C4C23×D7911yescharacteristic
1306C22×C4C23×D7911yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
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—3161no—
1323C4⋊C4—3161no—
1324C4⋊C4—3161no—
1325C4⋊C4—3161no—
1326C4⋊C4—3161no—
1327C4⋊C4—3161no—
1328C4⋊C4—3161no—
1329C4⋊C4—3161no—
1330C4⋊C4—3161no—
1331C4⋊C4—3161no—
1332C4⋊C4—3161no—
1333C4⋊C4—3161no—
1334C4⋊C4—3161no—
1335C4⋊C4—3161no—
1336C4⋊C4—1582no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
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—3161no—
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—
1383C22⋊C4—1582no—
1384C22⋊C4—1582no—
1385C22⋊C4—1582no—
1386C22⋊C4—1582no—
1387C22⋊C4—1582no—
1388C22⋊C4—1582no—
1389C42—3161no—
1390C42—3161no—
1391C42—3161no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—28no—
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—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—3164no—
1423C23—3164no—
1424C23—792no—
1425C23—792no—
1426C23—6322no—
1427C23—6322no—
1428C23—6322no—
1429C23—6322no—
1430C23—1581no—
1431C23—1581no—
1432C23—1581no—
1433C23—1581no—
1434C23—1581no—
1435C23—1581no—
1436C23—1581no—
1437C23—1581no—
1438C23—1581no—
1439C23—1581no—
1440C23—1581no—
1441C23—1581no—
1442C23—1588no—
1443C23#41×D7912yes—
1444C23#1457920612yes—
1445C23#1457920612yes—
1446C23#1457920712yes—
1447C23#1457920812yes—
1448C23C24×D7911yescharacteristic
1449Q8—6322no—
1450D4—44no—
1451D4—82no—
1452D4—82no—
1453D4—3164no—
1454D4—3164no—
1455D4—3164no—
1456D4—3164no—
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—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—3164no—
1498C2×C4—6322no—
1499C2×C4—6322no—
1500C2×C4—6322no—
1501C2×C4—6322no—
1502C2×C4—6322no—
1503C2×C4—6322no—
1504C2×C4—6322no—
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—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—1581no—
1544C2×C4—1581no—
1545C2×C4—1581no—
1546C2×C4—1581no—
1547C2×C4#1457920612yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—416no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—3161no—
1577C22—3161no—
1578C22—3161no—
1579C22—3161no—
1580C22—3161no—
1581C22—3161no—
1582C22—3161no—
1583C22—3161no—
1584C22—6328no—
1585C22—1582no—
1586C22—1582no—
1587C22—1582no—
1588C22—1582no—
1589C22—1582no—
1590C22—1582no—
1591C22#1909915614yes—
1592C22C2×#41×D7911yescharacteristic
1593C22C2×#1457920611yescharacteristic
1594C22C2×#1457920611yescharacteristic
1595C22C2×#1457920611yescharacteristic
1596C22C2×#1457920711yescharacteristic
1597C22C2×#1457920811yescharacteristic
1598C22#1909939911yescharacteristic
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—3161no—
1611C4—3161no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—3161no—
1616C4—3161no—
1617C4—3161no—
1618C4—3161no—
1619C4—3161no—
1620C4—3161no—
1621C4—3161no—
1622C4—3161no—
1623C4—3161no—
1624C2—24no—
1625C2—42no—
1626C2—42no—
1627C2—81no—
1628C2—3162no—
1629C2—3162no—
1630C2C2×#1909915611yescharacteristic
1631C2#2377708311yescharacteristic
1632C2#2377722811yescharacteristic
1633C2#2377755511yescharacteristic
1634C2#2377759411yescharacteristic
1635C2#2377760311yescharacteristic
1636C2#2377762711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2849C2
prime radical#23766770C2
hypercenter#2849D79
hypocenterC79#36775
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. #23771687C2semidirect
2. #23771072C2semidirect
3. #23770634C2semidirect
4. #23770584C2semidirect
5. #23770579C2semidirect
6. #23770536C2semidirect
7. #23770373C2semidirect
8. #23770116C2semidirect
9. #23770114C2semidirect
10. #23770082C2semidirect
11. #23769951C2semidirect
12. #23769933C2semidirect
13. #23769906C2semidirect
14. #23769905C2semidirect
15. #23769876C2semidirect
16. #23769821C2semidirect
17. #23769752C2semidirect
18. #23769372C2semidirect
19. #23769355C2semidirect
20. #23767905C2semidirect
21. #23767645C2semidirect
22. #23767228C2semidirect
23. #23767065C2semidirect
24. #23766858C2semidirect
25. #23766795C2semidirect
27. #23766725C2semidirect
28. #23766063C2semidirect
29. #23766011C2semidirect
30. C2×#19098442C2semidirect
31. C79×#2849C2semidirect
33. C2×#14579154C22semidirect
36. C2×#14579143C22semidirect
37. C2×#14579142C22semidirect
39. C2×#14579140C22semidirect
40. C2×#14579140C22semidirect
41. C2×#14579139C22semidirect
51. C79⋊#401C22semidirect
52. #19098505C22semidirect
53. #19098505C22semidirect
54. #19098505C22semidirect
55. #19098504C22semidirect
56. #19098504C22semidirect
57. #19098504C22semidirect
58. #19098503C22semidirect
59. #19098503C22semidirect
60. #19098502C22semidirect
61. #19098502C22semidirect
62. #19098501C22semidirect
63. #19098499C22semidirect
64. #19098498C22semidirect
65. #19098497C22semidirect
66. #19098496C22semidirect
67. #19098495C22semidirect
68. #19098495C22semidirect
69. #19098494C22semidirect
70. #19098493C22semidirect
71. #19098492C22semidirect
72. #19098491C22semidirect
73. #19098491C22semidirect
74. #19098491C22semidirect
75. #19098491C22semidirect
76. #19098490C22semidirect
77. #19098488C22semidirect
78. #19098488C22semidirect
79. #19098488C22semidirect
80. #19098487C22semidirect
81. #19098486C22semidirect
82. #19098486C22semidirect
83. #19098486C22semidirect
84. #19098485C22semidirect
89. #19098479C22semidirect
92. #19098478C22semidirect
93. #19098477C22semidirect
94. #19098477C22semidirect
95. #19098476C22semidirect
96. #19098475C22semidirect
99. #19098467C22semidirect
100. #19098463C22semidirect
101. #19098463C22semidirect
102. #19098462C22semidirect
103. #19098457C22semidirect
104. #19098456C22semidirect
105. #19098455C22semidirect
106. #19098455C22semidirect
107. #19098452C22semidirect
108. #19098452C22semidirect
109. #19098451C22semidirect
110. #19098451C22semidirect
111. #19098451C22semidirect
112. #19098450C22semidirect
113. #19098446C22semidirect
114. #19098446C22semidirect
117. #19098443C22semidirect
126. #19098440C22semidirect
127. #19098440C22semidirect
132. #19098439C22semidirect
136. #19098438C22semidirect
137. #19098437C22semidirect
138. #19098437C22semidirect
139. #19098437C22semidirect
140. #19098437C22semidirect
143. #19098436C22semidirect
144. #19098436C22semidirect
145. #19098436C22semidirect
146. #19098436C22semidirect
150. #19098434C22semidirect
151. #19098434C22semidirect
152. #19098434C22semidirect
153. #19098428C22semidirect
154. #19098425C22semidirect
156. #19098423C22semidirect
157. #19098423C22semidirect
158. #19098422C22semidirect
159. #19098422C22semidirect
160. #19098422C22semidirect
163. #19098421C22semidirect
164. #19098420C22semidirect
165. #19098420C22semidirect
173. C2×#123×C79C22semidirect
174. C2×#123×C79C22semidirect
178. #386×C79C22semidirect
179. #386×C79C22semidirect
182. #385×C79C22semidirect
183. #385×C79C22semidirect
184. #381×C79C22semidirect
185. #381×C79C22semidirect
819. #2849D79semidirect
850. C79#36775semidirect
858. C2×#123C2×D79semidirect
859. C2×#123C2×D79semidirect
958. #386C2×D79semidirect
959. #386C2×D79semidirect
982. #385C2×D79semidirect
983. #385C2×D79semidirect
986. #381C2×D79semidirect
987. #381C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716872
#237710722
#237706342
#237705842
#237705792
#237705362
#237703732
#237701162
#237701142
#237700822
#237699512
#237699332
#237699062
#237699052
#237698762
#237698212
#237697522
#237693722
#237693552
#237679052
#237676452
#237672282
#237670652
#237668582
#237667952
#237667702
#237667252
#237660632
#237660112
C2×#190984422
C79×#28492
#3677579