Finite Group Databasebeta

← #34458878

Subgroups — #34458878

Order 20224.

2028 conjugacy classes of subgroups.

The subgroup lattice has 1478 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23768950C211yesmaximal, characteristic, complemented
2#23768935C211yesmaximal, characteristic, complemented
3#23768920C211yesmaximal, characteristic, complemented
4#23768905C211yesmaximal, characteristic, complemented
5#23768892C211yesmaximal, characteristic, complemented
6#23768881C211yesmaximal, characteristic, complemented
7#23768798C211yesmaximal, characteristic, complemented
8#23768743C211yesmaximal, characteristic, complemented
9#23768660C211yesmaximal, characteristic, complemented
10#23768624C211yesmaximal, characteristic, complemented
11#23768461C211yesmaximal, characteristic, complemented
12#23767964C211yesmaximal, characteristic, complemented
13#23767666C211yesmaximal, characteristic, complemented
14#23767146C211yesmaximal, characteristic, complemented
15#23767131C211yesmaximal, characteristic, complemented
16#23766704C211yesmaximal, characteristic, complemented
17#23766697C211yesmaximal, characteristic, complemented
18#23766656C211yesmaximal, characteristic, complemented
19#23766635C211yesmaximal, characteristic, complemented
20#23765954C211yesmaximal, characteristic, complemented
21#23765925C211yesmaximal, characteristic, complemented
22#121×Dic79C211yesmaximal, characteristic, complemented
23#121×Dic79C211yesmaximal, characteristic, complemented
24#121×Dic79C211yesmaximal, characteristic, complemented
25#23765894C211yesmaximal, characteristic, complemented
26#23765840C211yesmaximal, characteristic, complemented
27#23765840C211yesmaximal, characteristic, complemented
28#23765840C211yesmaximal, characteristic, complemented
29C4×D4×Dic79C211yesmaximal, characteristic, complemented
30C2×#19098414C211yesmaximal, characteristic, complemented
31C79×#2543C211yesmaximal, characteristic
32C2×#14579154C2211yescharacteristic
33C2×#14579142C2211yescharacteristic
34C2×D4×Dic79C2211yescharacteristic
35C2×D4×Dic79C2211yescharacteristic
36C2×D4×Dic79C2211yescharacteristic
37C2×D4×Dic79C2211yescharacteristic
38C2×D4×Dic79C2211yescharacteristic
39C2×D4×Dic79C2211yescharacteristic
40C2×D4×Dic79C2211yescharacteristic
41C2×#14579117C2211yescharacteristic
42C2×#14579117C2211yescharacteristic
43C22×Dic79⋊C4C2211yescharacteristic
44C22×Dic79⋊C4C2211yescharacteristic
45C22×C4×Dic79C2211yescharacteristic
46C22×C4×Dic79C2211yescharacteristic
47C22×C4×Dic79C2211yescharacteristic
48C22×C4×Dic79C2211yescharacteristic
49C79⋊#401C2211yescharacteristic
50#19098505C2211yescharacteristic
51#19098505C2211yescharacteristic
52#19098505C2211yescharacteristic
53#19098504C2211yescharacteristic
54#19098503C2211yescharacteristic
55#19098502C2211yescharacteristic
56#19098501C2211yescharacteristic
57#19098501C2211yescharacteristic
58#19098499C2211yescharacteristic
59#19098496C2211yescharacteristic
60#19098496C2211yescharacteristic
61#19098495C2211yescharacteristic
62#19098495C2211yescharacteristic
63#19098493C2211yescharacteristic
64#19098491C2211yescharacteristic
65#19098491C2211yescharacteristic
66#19098491C2211yescharacteristic
67#19098491C2211yescharacteristic
68#19098488C2211yescharacteristic
69#19098488C2211yescharacteristic
70#19098486C2211yescharacteristic
71#19098486C2211yescharacteristic
72#19098486C2211yescharacteristic
73#19098477C2211yescharacteristic
74#19098477C2211yescharacteristic
75#19098477C2211yescharacteristic
76#19098477C2211yescharacteristic
77#19098466C2211yescharacteristic
78#19098466C2211yescharacteristic
79#19098466C2211yescharacteristic
80#19098462C2211yescharacteristic
81#19098462C2211yescharacteristic
82#19098462C2211yescharacteristic
83#19098457C2211yescharacteristic
84#19098457C2211yescharacteristic
85#19098457C2211yescharacteristic
86#19098457C2211yescharacteristic
87#19098457C2211yescharacteristic
88#19098457C2211yescharacteristic
89#19098457C2211yescharacteristic
90#19098456C2211yescharacteristic
91#19098456C2211yescharacteristic
92#19098456C2211yescharacteristic
93#19098456C2211yescharacteristic
94#19098456C2211yescharacteristic
95#19098456C2211yescharacteristic
96#19098456C2211yescharacteristic
97#19098451C2211yescharacteristic
98#19098451C2211yescharacteristic
99#19098451C2211yescharacteristic
100#19098451C2211yescharacteristic
101#19098451C2211yescharacteristic
102#19098450C2211yescharacteristic
103#19098450C2211yescharacteristic
104#19098450C2211yescharacteristic
105#19098448C2211yescharacteristic
106#19098448C2211yescharacteristic
107#19098448C2211yescharacteristic
108#19098447C2211yescharacteristic
109#19098447C2211yescharacteristic
110#19098446C2211yescharacteristic
111#19098446C2211yescharacteristic
112#19098446C2211yescharacteristic
113#19098446C2211yescharacteristic
114#19098445C2211yescharacteristic
115#19098444C2211yescharacteristic
116#19098444C2211yescharacteristic
117#19098443C2211yescharacteristic
118#19098443C2211yescharacteristic
119#19098443C2211yescharacteristic
120#19098443C2211yescharacteristic
121#19098443C2211yescharacteristic
122#19098443C2211yescharacteristic
123#19098443C2211yescharacteristic
124#19098443C2211yescharacteristic
125#19098443C2211yescharacteristic
126#19098436C2211yescharacteristic
127#19098436C2211yescharacteristic
128#19098436C2211yescharacteristic
129#19098436C2211yescharacteristic
130#19098435C2211yescharacteristic
131#19098435C2211yescharacteristic
132#19098435C2211yescharacteristic
133#19098430C2211yescharacteristic
134#19098424C2211yescharacteristic
135#19098423C2211yescharacteristic
136#19098423C2211yescharacteristic
137#19098423C2211yescharacteristic
138C4⋊C4×Dic79C2211yescharacteristic
139C4⋊C4×Dic79C2211yescharacteristic
140C4⋊C4×Dic79C2211yescharacteristic
141C4⋊C4×Dic79C2211yescharacteristic
142C4⋊C4×Dic79C2211yescharacteristic
143C4×C4⋊Dic79C2211yescharacteristic
144#19098414C2211yescharacteristic
145#19098414C2211yescharacteristic
146#19098414C2211yescharacteristic
147#19098414C2211yescharacteristic
148#19098414C2211yescharacteristic
149#19098414C2211yescharacteristic
150#19098414C2211yescharacteristic
151#19098414C2211yescharacteristic
152#19098414C2211yescharacteristic
153#19098414C2211yescharacteristic
154C22⋊C4×Dic79C2211yescharacteristic
155C22⋊C4×Dic79C2211yescharacteristic
156C22⋊C4×Dic79C2211yescharacteristic
157C22⋊C4×Dic79C2211yescharacteristic
158C22⋊C4×Dic79C2211yescharacteristic
159C22⋊C4×Dic79C2211yescharacteristic
160C22⋊C4×Dic79C2211yescharacteristic
161C22⋊C4×Dic79C2211yescharacteristic
162C22⋊C4×Dic79C2211yescharacteristic
163C22⋊C4×Dic79C2211yescharacteristic
164C22⋊C4×Dic79C2211yescharacteristic
165C22⋊C4×Dic79C2211yescharacteristic
166C4×C22⋊Dic79C2211yescharacteristic
167C4×C22⋊Dic79C2211yescharacteristic
168#19098408C2211yescharacteristic
169#19098408C2211yescharacteristic
170C2×C79⋊#95C2211yescharacteristic
171C42×Dic79C2211yescharacteristic
172C2×#121×C79C2211yescharacteristic
173C2×#121×C79C2211yescharacteristic
174C2×#121×C79C2211yescharacteristic
175C2×C4×D4×C79C2211yescharacteristic
176#398×C79C2211yescharacteristic
177#397×C79C2211yescharacteristic
178#394×C79C2211yescharacteristic
179#392×C79C2211yescharacteristic
180#388×C79C2211yescharacteristic
181#388×C79C2211yescharacteristic
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic
184#386×C79C2211yescharacteristic
185#386×C79C2211yescharacteristic
186C2×#95×C79C2211yescharacteristic
187C23×Dic79C2311yescharacteristic
188C23×Dic79C2311yescharacteristic
189C23×Dic79C2311yescharacteristic
190C23×Dic79C2311yescharacteristic
191C23×Dic79C2311yescharacteristic
192C23×Dic79C2311yescharacteristic
193C23×Dic79C2311yescharacteristic
194C23×Dic79C2311yescharacteristic
195#14579154—24no—
196#14579142—24no—
197D4×Dic79—24no—
198D4×Dic79—24no—
199D4×Dic79—24no—
200D4×Dic79—24no—
201D4×Dic79—24no—
202D4×Dic79—42no—
203D4×Dic79—42no—
204#14579117—24no—
205#14579117—42no—
206C2×C4⋊Dic79C2311yescharacteristic
207C2×C4⋊Dic79C2311yescharacteristic
208C2×C4⋊Dic79C2311yescharacteristic
209C2×C4⋊Dic79C2311yescharacteristic
210C2×C4⋊Dic79C2311yescharacteristic
211C2×C4⋊Dic79C2311yescharacteristic
212C2×C4⋊Dic79C2311yescharacteristic
213C2×C4⋊Dic79C2311yescharacteristic
214C2×C4⋊Dic79C2311yescharacteristic
215C2×C4⋊Dic79C2311yescharacteristic
216C2×Dic79⋊C4—24no—
217C2×Dic79⋊C4—24no—
218C2×Dic79⋊C4C2311yescharacteristic
219C2×Dic79⋊C4C2311yescharacteristic
220C2×Dic79⋊C4C2311yescharacteristic
221C2×Dic79⋊C4C2311yescharacteristic
222C2×Dic79⋊C4C2311yescharacteristic
223C2×Dic79⋊C4C2311yescharacteristic
224C2×Dic79⋊C4C2311yescharacteristic
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×C22⋊Dic79C2311yescharacteristic
235C2×C22⋊Dic79C2311yescharacteristic
236C2×C22⋊Dic79C2311yescharacteristic
237C2×C22⋊Dic79C2311yescharacteristic
238C2×C22⋊Dic79C2311yescharacteristic
239C2×C22⋊Dic79C2311yescharacteristic
240C2×C22⋊Dic79C2311yescharacteristic
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×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C4×Dic79—24no—
259C2×C4×Dic79—42no—
260C2×C4×Dic79—42no—
261C2×C4×Dic79—42no—
262C2×C4×Dic79C2311yescharacteristic
263C2×C4×Dic79C2311yescharacteristic
264C2×C4×Dic79C2311yescharacteristic
265C2×C4×Dic79C2311yescharacteristic
266C2×C4×Dic79C2311yescharacteristic
267C2×C4×Dic79C2311yescharacteristic
268C2×C4×Dic79C2311yescharacteristic
269C2×C4×Dic79C2311yescharacteristic
270C2×C4×Dic79C2311yescharacteristic
271C2×C4×Dic79C2311yescharacteristic
272C2×C4×Dic79C2311yescharacteristic
273C2×C4×Dic79C2311yescharacteristic
274C2×C4×Dic79C2311yescharacteristic
275C2×C4×Dic79C2311yescharacteristic
276C2×C4×Dic79C2311yescharacteristic
277C2×C4×Dic79C2311yescharacteristic
278C2×C4×Dic79C2311yescharacteristic
279C2×C4×Dic79C2311yescharacteristic
280C2×C4×Dic79C2311yescharacteristic
281C2×C4×Dic79C2311yescharacteristic
282C2×C4×Dic79C2311yescharacteristic
283C2×C4×Dic79C2311yescharacteristic
284C79⋊#95C2311yescharacteristic
285C79⋊#95C2311yescharacteristic
286C79⋊#95C2311yescharacteristic
287C79⋊#95C2311yescharacteristic
288C79⋊#95C2311yescharacteristic
289C79⋊#95C2311yescharacteristic
290C79⋊#95C2311yescharacteristic
291C79⋊#95C2311yescharacteristic
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
324C22×D4×C79C2311yescharacteristic
325C22×D4×C79C2311yescharacteristic
326C22×D4×C79C2311yescharacteristic
327C22×D4×C79C2311yescharacteristic
328C22×D4×C79C2311yescharacteristic
329C22×D4×C79C2311yescharacteristic
330C23×C4×C79C2311yescharacteristic
331C23×C4×C79C2311yescharacteristic
332C23×C4×C79C2311yescharacteristic
333C23×C4×C79C2311yescharacteristic
334#121×C79—24no—
335#121×C79—24no—
336#121×C79—24no—
337C4×D4×C79—24no—
338C2×C4⋊C4×C79C2311yescharacteristic
339C2×C4⋊C4×C79C2311yescharacteristic
340C2×C4⋊C4×C79C2311yescharacteristic
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C22⋊C4×C79C2311yescharacteristic
343C2×C22⋊C4×C79C2311yescharacteristic
344C2×C22⋊C4×C79C2311yescharacteristic
345C2×C22⋊C4×C79C2311yescharacteristic
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×C42×C79C2311yescharacteristic
355#95×C79C2311yescharacteristic
356#95×C79C2311yescharacteristic
357#95×C79C2311yescharacteristic
358#95×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363C22×Dic79—22no—
364C22×Dic79—22no—
365C22×Dic79—22no—
366C22×Dic79—22no—
367C22×Dic79—22no—
368C22×Dic79—22no—
369C22×Dic79—22no—
370C22×Dic79—22no—
371C22×Dic79—22no—
372C22×Dic79—22no—
373C22×Dic79—22no—
374C22×Dic79—22no—
375C22×Dic79—22no—
376C22×Dic79—22no—
377C22×Dic79—22no—
378C22×Dic79—22no—
379C22×Dic79—22no—
380C22×Dic79—22no—
381C22×Dic79—22no—
382C22×Dic79—41no—
383C22×Dic79—41no—
384C22×Dic79—41no—
385C22×Dic79—41no—
386C22×Dic79#4114yes—
387C22×Dic79C2411yescharacteristic
388C22×Dic79C2411yescharacteristic
389C22×Dic79C2411yescharacteristic
390C22×Dic79C2411yescharacteristic
391C22×Dic79C2411yescharacteristic
392C22×Dic79C2411yescharacteristic
393C22×Dic79C2411yescharacteristic
394C22×Dic79C2411yescharacteristic
395C22×Dic79C2411yescharacteristic
396C22×Dic79C2411yescharacteristic
397C22×Dic79C2411yescharacteristic
398C22×Dic79C2411yescharacteristic
399C22×Dic79C2411yescharacteristic
400C22×Dic79C2411yescharacteristic
401C22×Dic79C2411yescharacteristic
402C22×Dic79C2411yescharacteristic
403C4⋊Dic79—22no—
404C4⋊Dic79—22no—
405C4⋊Dic79—22no—
406C4⋊Dic79—22no—
407C4⋊Dic79—22no—
408C4⋊Dic79—22no—
409C4⋊Dic79—41no—
410C4⋊Dic79—41no—
411C4⋊Dic79—41no—
412C4⋊Dic79—41no—
413Dic79⋊C4—22no—
414Dic79⋊C4—22no—
415Dic79⋊C4—22no—
416Dic79⋊C4—22no—
417Dic79⋊C4—22no—
418Dic79⋊C4—22no—
419Dic79⋊C4—22no—
420Dic79⋊C4—22no—
421Dic79⋊C4—22no—
422Dic79⋊C4—22no—
423Dic79⋊C4—22no—
424Dic79⋊C4—41no—
425Dic79⋊C4—41no—
426Dic79⋊C4—41no—
427Dic79⋊C4—41no—
428Dic79⋊C4#4114yes—
429C22⋊Dic79—22no—
430C22⋊Dic79—22no—
431C22⋊Dic79—22no—
432C22⋊Dic79—22no—
433C22⋊Dic79—22no—
434C22⋊Dic79—22no—
435C22⋊Dic79—22no—
436C22⋊Dic79—22no—
437C22⋊Dic79—22no—
438C22⋊Dic79—22no—
439C22⋊Dic79—22no—
440C22⋊Dic79—22no—
441C22⋊Dic79—22no—
442C22⋊Dic79—22no—
443C22⋊Dic79—22no—
444C22⋊Dic79—22no—
445C22⋊Dic79—41no—
446C22⋊Dic79—41no—
447C22⋊Dic79—41no—
448C22⋊Dic79—41no—
449C22⋊Dic79—41no—
450C22⋊Dic79—41no—
451C22⋊Dic79—41no—
452C22⋊Dic79—41no—
453C4×Dic79—22no—
454C4×Dic79—22no—
455C4×Dic79—22no—
456C4×Dic79—22no—
457C4×Dic79—22no—
458C4×Dic79—22no—
459C4×Dic79—22no—
460C4×Dic79—22no—
461C4×Dic79—22no—
462C4×Dic79—22no—
463C4×Dic79—22no—
464C4×Dic79—22no—
465C4×Dic79—22no—
466C4×Dic79—22no—
467C4×Dic79—41no—
468C4×Dic79—41no—
469C4×Dic79—41no—
470C4×Dic79—41no—
471C4×Dic79—41no—
472C4×Dic79—41no—
473C4×Dic79—41no—
474C4×Dic79#4114yes—
475C24×C79C2411yescharacteristic
476C24×C79C2411yescharacteristic
477C24×C79C2411yescharacteristic
478C24×C79C2411yescharacteristic
479C2×D4×C79—22no—
480C2×D4×C79—22no—
481C2×D4×C79—22no—
482C2×D4×C79—22no—
483C2×D4×C79—22no—
484C2×D4×C79—22no—
485C2×D4×C79—22no—
486C2×D4×C79—22no—
487C2×D4×C79—22no—
488C2×D4×C79—22no—
489C2×D4×C79—22no—
490C2×D4×C79—22no—
491C2×D4×C79—22no—
492C2×D4×C79—41no—
493C2×D4×C79—41no—
494C2×D4×C79—41no—
495C2×D4×C79—41no—
496C2×D4×C79#4114yes—
497C22×C4×C79—22no—
498C22×C4×C79—22no—
499C22×C4×C79—22no—
500C22×C4×C79—22no—
501C22×C4×C79—22no—
502C22×C4×C79—41no—
503C22×C4×C79—41no—
504C22×C4×C79—41no—
505C22×C4×C79—41no—
506C22×C4×C79—41no—
507C22×C4×C79—41no—
508C22×C4×C79#4114yes—
509C22×C4×C79C2411yescharacteristic
510C22×C4×C79C2411yescharacteristic
511C22×C4×C79C2411yescharacteristic
512C22×C4×C79C2411yescharacteristic
513C22×C4×C79C2411yescharacteristic
514C22×C4×C79C2411yescharacteristic
515C22×C4×C79C2411yescharacteristic
516C22×C4×C79C2411yescharacteristic
517C22×C4×C79C2411yescharacteristic
518C22×C4×C79C2411yescharacteristic
519C22×C4×C79C2411yescharacteristic
520C4⋊C4×C79—22no—
521C4⋊C4×C79—22no—
522C4⋊C4×C79—22no—
523C4⋊C4×C79—22no—
524C22⋊C4×C79—22no—
525C22⋊C4×C79—22no—
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—22no—
534C22⋊C4×C79—41no—
535C22⋊C4×C79—41no—
536C42×C79—22no—
537C23×C79—21no—
538C23×C79—21no—
539C23×C79—21no—
540C23×C79—21no—
541C23×C79—21no—
542C23×C79—21no—
543C23×C79—21no—
544C23×C79—21no—
545C23×C79—21no—
546C23×C79—21no—
547C23×C79—21no—
548C23×C79—21no—
549C23×C79—21no—
550C23×C79—21no—
551C23×C79—21no—
552C23×C79—21no—
553C23×C79—21no—
554C23×C79—21no—
555C23×C79—21no—
556C23×C79—21no—
557C23×C79—21no—
558C23×C79—21no—
559C23×C79—21no—
560C23×C79—21no—
561C23×C79C2×#4112yes—
562C23×C79C2×#4112yes—
563C23×C79C2×#4112yes—
564C23×C79C2×#4112yes—
565C23×C79C2511yescharacteristic
566D4×C79—28no—
567D4×C79—44no—
568D4×C79—44no—
569D4×C79—44no—
570D4×C79—44no—
571D4×C79—44no—
572C2×C4×C79—21no—
573C2×C4×C79—21no—
574C2×C4×C79—21no—
575C2×C4×C79—21no—
576C2×C4×C79—21no—
577C2×C4×C79—21no—
578C2×C4×C79—21no—
579C2×C4×C79—21no—
580C2×C4×C79—21no—
581C2×C4×C79—21no—
582C2×C4×C79—21no—
583C2×C4×C79—21no—
584C2×C4×C79—21no—
585C2×C4×C79—21no—
586C2×C4×C79—21no—
587C2×C4×C79—21no—
588C2×C4×C79—21no—
589C2×C4×C79—21no—
590C2×C4×C79—21no—
591C2×C4×C79—21no—
592C2×C4×C79—21no—
593C2×C4×C79—21no—
594C2×C4×C79—21no—
595C2×C4×C79—21no—
596C2×C4×C79—21no—
597C2×C4×C79—21no—
598C2×C4×C79—21no—
599C2×C4×C79—21no—
600C2×C4×C79—44no—
601C2×C4×C79—44no—
602C2×C4×C79—44no—
603C2×C4×C79—44no—
604C2×C4×C79C2×#4112yes—
605C2×C4×C79C2×#4112yes—
606C2×C4×C79C2×#4112yes—
607C2×C4×C79C2×#4112yes—
608C2×C4×C79C2×#4112yes—
609C2×Dic79—28no—
610C2×Dic79—21no—
611C2×Dic79—21no—
612C2×Dic79—21no—
613C2×Dic79—21no—
614C2×Dic79—21no—
615C2×Dic79—21no—
616C2×Dic79—21no—
617C2×Dic79—21no—
618C2×Dic79—28no—
619C2×Dic79—21no—
620C2×Dic79—21no—
621C2×Dic79—21no—
622C2×Dic79—21no—
623C2×Dic79—21no—
624C2×Dic79—21no—
625C2×Dic79—21no—
626C2×Dic79—21no—
627C2×Dic79—21no—
628C2×Dic79—21no—
629C2×Dic79—21no—
630C2×Dic79—21no—
631C2×Dic79—21no—
632C2×Dic79—21no—
633C2×Dic79—21no—
634C2×Dic79—21no—
635C2×Dic79—21no—
636C2×Dic79—21no—
637C2×Dic79—21no—
638C2×Dic79—21no—
639C2×Dic79—21no—
640C2×Dic79—21no—
641C2×Dic79—21no—
642C2×Dic79—21no—
643C2×Dic79—21no—
644C2×Dic79—21no—
645C2×Dic79—21no—
646C2×Dic79—21no—
647C2×Dic79—21no—
648C2×Dic79—21no—
649C2×Dic79—21no—
650C2×Dic79—21no—
651C2×Dic79—21no—
652C2×Dic79—44no—
653C2×Dic79—44no—
654C2×Dic79—44no—
655C2×Dic79—44no—
656C2×Dic79—44no—
657C2×Dic79—44no—
658C2×Dic79C2×#4112yes—
659C2×Dic79C2×#4112yes—
660C2×Dic79C2×#4112yes—
661C2×Dic79C2×#4112yes—
662C2×Dic79C2×#4112yes—
663C2×Dic79C2×#4112yes—
664C2×Dic79H(5,𝔽2)12yes—
665C22×C79—22no—
666C22×C79—22no—
667C22×C79—22no—
668C22×C79—22no—
669C22×C79—22no—
670C22×C79—22no—
671C22×C79—22no—
672C22×C79—22no—
673C22×C79—22no—
674C22×C79—41no—
675C22×C79—41no—
676C22×C79—41no—
677C22×C79—41no—
678C22×C79—41no—
679C22×C79—41no—
680C22×C79—41no—
681C22×C79—41no—
682C22×C79—41no—
683C22×C79—41no—
684C22×C79—41no—
685C22×C79—41no—
686C22×C79—41no—
687C22×C79—41no—
688C22×C79—41no—
689C22×C79—41no—
690C22×C79—41no—
691C22×C79—41no—
692C22×C79#52914yes—
693C22×C79C22×#4111yescharacteristic
694C22×C79C22×#4111yescharacteristic
695C22×C79C22×#4111yescharacteristic
696C22×C79C22×#4111yescharacteristic
697C22×C79C22×#4111yescharacteristic
698C22×C79C2×H(5,𝔽2)11yescharacteristic
699C22×C79#58511yescharacteristic
700C4×C79—22no—
701C4×C79—22no—
702C4×C79—22no—
703C4×C79—22no—
704C4×C79—22no—
705C4×C79—41no—
706C4×C79—41no—
707C4×C79—41no—
708C4×C79—41no—
709C4×C79—41no—
710C4×C79—41no—
711Dic79—22no—
712Dic79—22no—
713Dic79—22no—
714Dic79—22no—
715Dic79—41no—
716Dic79—41no—
717Dic79—41no—
718Dic79—41no—
719Dic79—41no—
720Dic79—41no—
721Dic79—41no—
722Dic79—41no—
723Dic79—41no—
724Dic79—41no—
725Dic79—41no—
726Dic79#55314yes—
727#34856—791nomaximal, Sylow
728C2×C79—24no—
729C2×C79—42no—
730C2×C79—81no—
731C2×C79—81no—
732C2×C79C2×#52911yescharacteristic
733C2×C79#344411yescharacteristic
734C2×C79#345911yescharacteristic
735C2×C79C2×#55311yescharacteristic
736C2×C79#347511yescharacteristic
737C2×C79#348011yescharacteristic
738C2×C79#348111yescharacteristic
739#2597—791no—
740#2596—791no—
741#2595—791no—
742#2594—791no—
743#2593—791no—
744#2591—791no—
745#2585—791no—
746#2579—791no—
747#2573—791no—
748#2569—791no—
749#2554—791no—
750#2543D7911yescharacteristic
751#2510—791no—
752#2481—791no—
753#2444—791no—
754#2443—791no—
755#2402—791no—
756#2401—791no—
757#2395—791no—
758#2392—791no—
759C4×#126—791no—
760C4×#123—791no—
761C4×#121—791no—
762C4×#121—791no—
763C4×#121—791no—
764#2298—791no—
765#2290—791no—
766#2290—791no—
767#2290—791no—
768C42×D4—791no—
769C2×C4×C4⋊C4—791no—
770C79#3485611yescharacteristic, complemented, Sylow
771C2×#126—791no—
772C2×#123—791no—
773C2×#121C2×D7911yescharacteristic
774C2×#121C2×D7911yescharacteristic
775C2×#121C2×D7911yescharacteristic
776C2×C4×D4—791no—
777C2×C4×D4—791no—
778C2×C4×D4—791no—
779C2×C4×D4—791no—
780C2×C4×D4—791no—
781C2×C4×D4—791no—
782C2×C4×D4—791no—
783C2×C4×D4C2×D7911yescharacteristic
784C2×#117—791no—
785C2×#117—791no—
786C22×C4⋊C4—791no—
787C22×C4⋊C4—791no—
788C22×C42—791no—
789C22×C42—791no—
790C22×C42—791no—
791C22×C42—791no—
792#401—791no—
793#400—791no—
794#400—791no—
795#400—791no—
796#400—791no—
797#400—791no—
798#400—791no—
799#400—791no—
800#400—791no—
801#399—791no—
802#398—791no—
803#398—791no—
804#398—791no—
805#398—791no—
806#398—791no—
807#398C2×D7911yescharacteristic
808#397—791no—
809#397—791no—
810#397—791no—
811#397—791no—
812#397—791no—
813#397—791no—
814#397C2×D7911yescharacteristic
815#396—791no—
816#396—791no—
817#396—791no—
818#394—791no—
819#394—791no—
820#394—791no—
821#394—791no—
822#394C2×D7911yescharacteristic
823#392C2×D7911yescharacteristic
824#390—791no—
825#390—791no—
826#390—791no—
827#389—791no—
828#389—791no—
829#389—791no—
830#388—791no—
831#388—791no—
832#388—791no—
833#388—791no—
834#388—791no—
835#388—791no—
836#388—791no—
837#388—791no—
838#388—791no—
839#388—791no—
840#388—791no—
841#388—791no—
842#388—791no—
843#388—791no—
844#388—791no—
845#388—791no—
846#388—791no—
847#388—791no—
848#388—791no—
849#388C2×D7911yescharacteristic
850#388C2×D7911yescharacteristic
851#387—791no—
852#387—791no—
853#387—791no—
854#387—791no—
855#387—791no—
856#387—791no—
857#387—791no—
858#387—791no—
859#387—791no—
860#387—791no—
861#387—791no—
862#387—791no—
863#387—791no—
864#387—791no—
865#387—791no—
866#386—791no—
867#386—791no—
868#386—791no—
869#386—791no—
870#386—791no—
871#386—791no—
872#386—791no—
873#386—791no—
874#386—791no—
875#386C2×D7911yescharacteristic
876#386C2×D7911yescharacteristic
877#386C2×D7911yescharacteristic
878#386C2×D7911yescharacteristic
879#385—791no—
880#385—791no—
881#385—791no—
882#385—791no—
883#385—791no—
884#385—791no—
885#385—791no—
886#383—791no—
887#381—791no—
888#380—791no—
889#380—791no—
890#380—791no—
891C4×C4⋊C4—791no—
892C4×C4⋊C4—791no—
893C4×C4⋊C4—791no—
894C4×C4⋊C4—791no—
895C4×C4⋊C4—791no—
896C4×C4⋊C4—791no—
897C4×C4⋊C4—791no—
898C4×C4⋊C4—791no—
899C4×C4⋊C4—791no—
900C4×C4⋊C4—791no—
901C4×C4⋊C4—791no—
902C4×C4⋊C4—791no—
903C4×C4⋊C4—791no—
904C4×C4⋊C4—791no—
905C4×C4⋊C4—791no—
906C4×C4⋊C4—791no—
907C4×C22⋊C4—791no—
908C4×C22⋊C4—791no—
909C4×C22⋊C4—791no—
910C4×C22⋊C4—791no—
911C4×C22⋊C4—791no—
912C4×C22⋊C4—791no—
913C4×C22⋊C4—791no—
914C4×C22⋊C4—791no—
915C4×C22⋊C4—791no—
916C4×C22⋊C4—791no—
917C4×C22⋊C4—791no—
918C4×C22⋊C4—791no—
919C4×C22⋊C4—791no—
920C4×C22⋊C4—791no—
921#376—791no—
922#376—791no—
923C2×#95—791no—
924C2×#95C2×D7911yescharacteristic
925C43—791no—
926C22×D4C22×D7911yescharacteristic
927C22×D4C22×D7911yescharacteristic
928C22×D4C22×D7911yescharacteristic
929C22×D4C22×D7911yescharacteristic
930C22×D4C22×D7911yescharacteristic
931C22×D4C22×D7911yescharacteristic
932C23×C4—791no—
933C23×C4—791no—
934C23×C4—791no—
935C23×C4—791no—
936C23×C4—791no—
937C23×C4—791no—
938C23×C4—791no—
939C23×C4—791no—
940C23×C4C22×D7911yescharacteristic
941C23×C4C22×D7911yescharacteristic
942C23×C4C22×D7911yescharacteristic
943C23×C4C22×D7911yescharacteristic
944#126—1584no—
945#123—1584no—
946#121—24no—
947#121—24no—
948#121—24no—
949C4×D4—24no—
950C4×D4—3162no—
951C4×D4—3162no—
952C4×D4—1584no—
953C4×D4—1584no—
954C4×D4—1584no—
955C4×D4—1584no—
956C4×D4—1584no—
957#117—3162no—
958#117—1584no—
959C2×C4⋊C4—791no—
960C2×C4⋊C4—791no—
961C2×C4⋊C4—791no—
962C2×C4⋊C4—791no—
963C2×C4⋊C4—791no—
964C2×C4⋊C4—791no—
965C2×C4⋊C4—791no—
966C2×C4⋊C4—791no—
967C2×C4⋊C4—791no—
968C2×C4⋊C4—791no—
969C2×C4⋊C4—791no—
970C2×C4⋊C4—791no—
971C2×C4⋊C4—791no—
972C2×C4⋊C4—791no—
973C2×C4⋊C4—791no—
974C2×C4⋊C4—791no—
975C2×C4⋊C4—791no—
976C2×C4⋊C4—791no—
977C2×C4⋊C4—791no—
978C2×C4⋊C4—791no—
979C2×C4⋊C4—791no—
980C2×C4⋊C4—791no—
981C2×C4⋊C4—791no—
982C2×C4⋊C4—791no—
983C2×C4⋊C4—791no—
984C2×C4⋊C4—791no—
985C2×C4⋊C4—1584no—
986C2×C4⋊C4—1584no—
987C2×C4⋊C4C22×D7911yescharacteristic
988C2×C4⋊C4C22×D7911yescharacteristic
989C2×C4⋊C4C22×D7911yescharacteristic
990C2×C4⋊C4C22×D7911yescharacteristic
991C2×C22⋊C4—791no—
992C2×C22⋊C4—791no—
993C2×C22⋊C4—791no—
994C2×C22⋊C4—791no—
995C2×C22⋊C4—791no—
996C2×C22⋊C4—791no—
997C2×C22⋊C4—791no—
998C2×C22⋊C4—791no—
999C2×C22⋊C4—791no—
1000C2×C22⋊C4—791no—
1001C2×C22⋊C4—791no—
1002C2×C22⋊C4—791no—
1003C2×C22⋊C4—791no—
1004C2×C22⋊C4—791no—
1005C2×C22⋊C4—791no—
1006C2×C22⋊C4—791no—
1007C2×C22⋊C4—791no—
1008C2×C22⋊C4—791no—
1009C2×C22⋊C4—791no—
1010C2×C22⋊C4—791no—
1011C2×C22⋊C4—791no—
1012C2×C22⋊C4—791no—
1013C2×C22⋊C4—791no—
1014C2×C22⋊C4—791no—
1015C2×C22⋊C4C22×D7911yescharacteristic
1016C2×C22⋊C4C22×D7911yescharacteristic
1017C2×C22⋊C4C22×D7911yescharacteristic
1018C2×C22⋊C4C22×D7911yescharacteristic
1019C2×C22⋊C4C22×D7911yescharacteristic
1020C2×C22⋊C4C22×D7911yescharacteristic
1021C2×C22⋊C4C22×D7911yescharacteristic
1022C2×C22⋊C4C22×D7911yescharacteristic
1023C2×C22⋊C4C22×D7911yescharacteristic
1024C2×C22⋊C4C22×D7911yescharacteristic
1025C2×C22⋊C4C22×D7911yescharacteristic
1026C2×C22⋊C4C22×D7911yescharacteristic
1027C2×C42—3162no—
1028C2×C42—3162no—
1029C2×C42—3162no—
1030C2×C42—791no—
1031C2×C42—791no—
1032C2×C42—791no—
1033C2×C42—791no—
1034C2×C42—791no—
1035C2×C42—791no—
1036C2×C42—791no—
1037C2×C42—791no—
1038C2×C42—791no—
1039C2×C42—791no—
1040C2×C42—791no—
1041C2×C42—791no—
1042C2×C42—791no—
1043C2×C42—791no—
1044C2×C42—791no—
1045C2×C42—791no—
1046C2×C42—791no—
1047C2×C42—791no—
1048C2×C42—791no—
1049C2×C42—791no—
1050C2×C42—791no—
1051C2×C42—791no—
1052C2×C42—1584no—
1053C2×C42C22×D7911yescharacteristic
1054#95—791no—
1055#95—791no—
1056#95—791no—
1057#95—791no—
1058#95—791no—
1059#95—791no—
1060#95—791no—
1061#95—791no—
1062#95—791no—
1063#95—791no—
1064#95—791no—
1065#95—791no—
1066#95—791no—
1067#95—791no—
1068#95—791no—
1069#95—791no—
1070#95—791no—
1071#95—791no—
1072#95—791no—
1073#95—791no—
1074#95—791no—
1075#95—791no—
1076#95—791no—
1077#95—791no—
1078#95—791no—
1079#95—791no—
1080#95—791no—
1081#95—791no—
1082#95—791no—
1083#95—791no—
1084#95—791no—
1085#95—791no—
1086#95—791no—
1087#95—791no—
1088#95—791no—
1089#95—791no—
1090#95—791no—
1091#95—791no—
1092#95—791no—
1093#95—791no—
1094#95C22×D7911yescharacteristic
1095#95C22×D7911yescharacteristic
1096#95C22×D7911yescharacteristic
1097#95C22×D7911yescharacteristic
1098#95C22×D7911yescharacteristic
1099#95C22×D7911yescharacteristic
1100#95C22×D7911yescharacteristic
1101#95C22×D7911yescharacteristic
1102C24C23×D7911yescharacteristic
1103C24C23×D7911yescharacteristic
1104C24C23×D7911yescharacteristic
1105C24C23×D7911yescharacteristic
1106C2×D4—22no—
1107C2×D4—22no—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—22no—
1113C2×D4—22no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—22no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4#1192962314yes—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—3161no—
1136C22×C4—3161no—
1137C22×C4—3161no—
1138C22×C4—3161no—
1139C22×C4—791no—
1140C22×C4—794no—
1141C22×C4—791no—
1142C22×C4—791no—
1143C22×C4—791no—
1144C22×C4—791no—
1145C22×C4—791no—
1146C22×C4—791no—
1147C22×C4—791no—
1148C22×C4—791no—
1149C22×C4—791no—
1150C22×C4—791no—
1151C22×C4—791no—
1152C22×C4—791no—
1153C22×C4—791no—
1154C22×C4—791no—
1155C22×C4—791no—
1156C22×C4—1582no—
1157C22×C4—1582no—
1158C22×C4—1582no—
1159C22×C4—1582no—
1160C22×C4—1582no—
1161C22×C4—1582no—
1162C22×C4—1582no—
1163C22×C4—1582no—
1164C22×C4—1582no—
1165C22×C4—1582no—
1166C22×C4—1582no—
1167C22×C4—1582no—
1168C22×C4—1582no—
1169C22×C4—1582no—
1170C22×C4—1582no—
1171C22×C4—1582no—
1172C22×C4—1582no—
1173C22×C4—1582no—
1174C22×C4—1582no—
1175C22×C4#1192962314yes—
1176C22×C4C23×D7911yescharacteristic
1177C22×C4C23×D7911yescharacteristic
1178C22×C4C23×D7911yescharacteristic
1179C22×C4C23×D7911yescharacteristic
1180C22×C4C23×D7911yescharacteristic
1181C22×C4C23×D7911yescharacteristic
1182C22×C4C23×D7911yescharacteristic
1183C22×C4C23×D7911yescharacteristic
1184C22×C4C23×D7911yescharacteristic
1185C22×C4C23×D7911yescharacteristic
1186C22×C4C23×D7911yescharacteristic
1187C4⋊C4—22no—
1188C4⋊C4—22no—
1189C4⋊C4—22no—
1190C4⋊C4—22no—
1191C4⋊C4—3161no—
1192C4⋊C4—3161no—
1193C4⋊C4—3161no—
1194C4⋊C4—3161no—
1195C4⋊C4—3161no—
1196C4⋊C4—3161no—
1197C4⋊C4—3161no—
1198C4⋊C4—3161no—
1199C4⋊C4—794no—
1200C4⋊C4—1582no—
1201C4⋊C4—1582no—
1202C4⋊C4—1582no—
1203C4⋊C4—1582no—
1204C4⋊C4—1582no—
1205C4⋊C4—1582no—
1206C4⋊C4—1582no—
1207C4⋊C4—1582no—
1208C4⋊C4—1582no—
1209C4⋊C4—1582no—
1210C4⋊C4—1582no—
1211C4⋊C4—1582no—
1212C4⋊C4—1582no—
1213C4⋊C4—1582no—
1214C4⋊C4—1582no—
1215C4⋊C4—1582no—
1216C4⋊C4—1582no—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—3161no—
1230C22⋊C4—3161no—
1231C22⋊C4—3161no—
1232C22⋊C4—3161no—
1233C22⋊C4—3161no—
1234C22⋊C4—3161no—
1235C22⋊C4—3161no—
1236C22⋊C4—3161no—
1237C22⋊C4—1582no—
1238C22⋊C4—1582no—
1239C22⋊C4—1582no—
1240C22⋊C4—1582no—
1241C22⋊C4—1582no—
1242C22⋊C4—1582no—
1243C22⋊C4—1582no—
1244C22⋊C4—1582no—
1245C22⋊C4—1582no—
1246C22⋊C4—1582no—
1247C22⋊C4—1582no—
1248C22⋊C4—1582no—
1249C22⋊C4—1582no—
1250C22⋊C4—1582no—
1251C22⋊C4—1582no—
1252C22⋊C4—1582no—
1253C42—22no—
1254C42—3161no—
1255C42—3161no—
1256C42—3161no—
1257C42—3161no—
1258C42—3161no—
1259C42—3161no—
1260C42—3161no—
1261C42—794no—
1262C42—1582no—
1263C42—1582no—
1264C42—1582no—
1265C42—1582no—
1266C42—1582no—
1267C42—1582no—
1268C42—1582no—
1269C42—1582no—
1270C42—1582no—
1271C42—1582no—
1272C42—1582no—
1273C42—1582no—
1274C42—1582no—
1275C42—1582no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23#41×D7912yes—
1301C23C2×#1192962312yes—
1302C23C2×#1192962312yes—
1303C23C2×#1192962312yes—
1304C23C24×D7911yescharacteristic
1305D4—28no—
1306D4—44no—
1307D4—44no—
1308D4—44no—
1309D4—44no—
1310D4—44no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—44no—
1340C2×C4—44no—
1341C2×C4—44no—
1342C2×C4—44no—
1343C2×C4—3164no—
1344C2×C4—3164no—
1345C2×C4—3164no—
1346C2×C4—3164no—
1347C2×C4—3164no—
1348C2×C4—3164no—
1349C2×C4—792no—
1350C2×C4—792no—
1351C2×C4—792no—
1352C2×C4—792no—
1353C2×C4—792no—
1354C2×C4—792no—
1355C2×C4—792no—
1356C2×C4—1581no—
1357C2×C4—1581no—
1358C2×C4—1581no—
1359C2×C4—1581no—
1360C2×C4—1581no—
1361C2×C4—1581no—
1362C2×C4—1581no—
1363C2×C4—1581no—
1364C2×C4—1581no—
1365C2×C4—1581no—
1366C2×C4—1581no—
1367C2×C4—1581no—
1368C2×C4—1581no—
1369C2×C4—1581no—
1370C2×C4—1581no—
1371C2×C4—1581no—
1372C2×C4—1581no—
1373C2×C4—1581no—
1374C2×C4—1581no—
1375C2×C4—1581no—
1376C2×C4—1581no—
1377C2×C4—1581no—
1378C2×C4—1581no—
1379C2×C4—1581no—
1380C2×C4—1581no—
1381C2×C4—1581no—
1382C2×C4—1581no—
1383C2×C4—1581no—
1384C2×C4—1581no—
1385C2×C4—1581no—
1386C2×C4—1581no—
1387C2×C4—1581no—
1388C2×C4—1581no—
1389C2×C4—1588no—
1390C2×C4—1588no—
1391C2×C4—1581no—
1392C2×C4—1581no—
1393C2×C4—1581no—
1394C2×C4—1581no—
1395C2×C4—1581no—
1396C2×C4—1581no—
1397C2×C4—1581no—
1398C2×C4—1581no—
1399C2×C4#41×D7912yes—
1400C2×C4#41×D7912yes—
1401C2×C4C2×#1192962312yes—
1402C2×C4C2×#1192962312yes—
1403C2×C4C2×#1192962312yes—
1404C22—22no—
1405C22—22no—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—22no—
1410C22—22no—
1411C22—22no—
1412C22—22no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22#1909909414yes—
1432C22C2×#41×D7911yescharacteristic
1433C22C2×#41×D7911yescharacteristic
1434C22C2×#41×D7911yescharacteristic
1435C22C22×#1192962311yescharacteristic
1436C22C22×#1192962311yescharacteristic
1437C22H(5,𝔽2)×D7911yescharacteristic
1438C22#1909939811yescharacteristic
1439C4—22no—
1440C4—22no—
1441C4—22no—
1442C4—22no—
1443C4—22no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—3161no—
1451C4—3161no—
1452C4—3161no—
1453C4—3161no—
1454C4—3161no—
1455C4—3161no—
1456C4—3161no—
1457C4—3161no—
1458C4—3161no—
1459C4—3161no—
1460C4—3161no—
1461C4—794no—
1462C4—1582no—
1463C4—1582no—
1464C4—1582no—
1465C4—1582no—
1466C2—24no—
1467C2—42no—
1468C2—81no—
1469C2—81no—
1470C2C2×#1909909411yescharacteristic
1471C2#2377669511yescharacteristic
1472C2#2377680611yescharacteristic
1473C2#553×D7911yescharacteristic
1474C2#2377695111yescharacteristic
1475C2#2377699411yescharacteristic
1476C2#2377700511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
Fitting, prime radicalC79×#2543C2
hypercenter#2543D79
hypocenterC79#34856
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2543

Complements

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

NH ≅ G/Ntype
1. #23768950C2semidirect
2. #23768935C2semidirect
3. #23768920C2semidirect
4. #23768905C2semidirect
5. #23768892C2semidirect
6. #23768881C2semidirect
7. #23768798C2semidirect
8. #23768743C2semidirect
9. #23768660C2semidirect
10. #23768624C2semidirect
11. #23768461C2semidirect
12. #23767964C2semidirect
13. #23767666C2semidirect
14. #23767146C2semidirect
15. #23767131C2semidirect
16. #23766704C2semidirect
17. #23766697C2semidirect
18. #23766656C2semidirect
19. #23766635C2semidirect
20. #23765954C2semidirect
21. #23765925C2semidirect
22. #121×Dic79C2semidirect
23. #121×Dic79C2semidirect
24. #121×Dic79C2semidirect
25. #23765894C2semidirect
26. #23765840C2semidirect
27. #23765840C2semidirect
28. #23765840C2semidirect
29. C4×D4×Dic79C2semidirect
30. C2×#19098414C2semidirect
770. C79#34856semidirect

Maximal subgroups

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

subgroupindex
#237689502
#237689352
#237689202
#237689052
#237688922
#237688812
#237687982
#237687432
#237686602
#237686242
#237684612
#237679642
#237676662
#237671462
#237671312
#237667042
#237666972
#237666562
#237666352
#237659542
#237659252
#121×Dic792
#237658942
#237658402
C4×D4×Dic792
C2×#190984142
C79×#25432
#3485679