Finite Group Databasebeta

← #34495148

Subgroups — #34495148

Order 20224.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099183C211yesmaximal, characteristic, complemented
2C2×#19099074C211yesmaximal, characteristic, complemented
3#23771692C211yesmaximal, characteristic, complemented
4#23769950C211yesmaximal, characteristic, complemented
5#23769935C211yesmaximal, characteristic, complemented
6#23769896C211yesmaximal, characteristic, complemented
7#23769881C211yesmaximal, characteristic, complemented
8#23769855C211yesmaximal, characteristic, complemented
9#23769810C211yesmaximal, characteristic, complemented
10#23769795C211yesmaximal, characteristic, complemented
11#23769780C211yesmaximal, characteristic, complemented
12#23769711C211yesmaximal, characteristic, complemented
13#23769697C211yesmaximal, characteristic, complemented
14#23769685C211yesmaximal, characteristic, complemented
15#23769677C211yesmaximal, characteristic, complemented
16#23769647C211yesmaximal, characteristic, complemented
17#23769640C211yesmaximal, characteristic, complemented
18#23769626C211yesmaximal, characteristic, complemented
19#23769608C211yesmaximal, characteristic, complemented
20#23769318C211yesmaximal, characteristic, complemented
21#23769241C211yesmaximal, characteristic, complemented
22#23769076C211yesmaximal, characteristic, complemented
23#23769016C211yesmaximal, characteristic, complemented
24#23768973C211yesmaximal, characteristic, complemented
25#23768965C211yesmaximal, characteristic, complemented
26#23768757C211yesmaximal, characteristic, complemented
27#23768585C211yesmaximal, characteristic, complemented
28#23767026C211yesmaximal, characteristic, complemented
29#23767009C211yesmaximal, characteristic, complemented
30#23766035C211yesmaximal, characteristic, complemented
31C79×#2848C211yesmaximal, characteristic, complemented
32C22×#11929624C2211yescharacteristic
33#19099183—28no—
34C2×#14579160C2211yescharacteristic, complemented
35C2×#14579159C2211yescharacteristic, complemented
36C2×#14579156C2211yescharacteristic, complemented
37C2×#14579154C2211yescharacteristic
38C2×#14579150C2211yescharacteristic, complemented
39C2×#14579147C2211yescharacteristic
40C2×#14579147C2211yescharacteristic
41C2×#14579147C2211yescharacteristic
42#19099074—28no—
43C2×#14579146C2211yescharacteristic, complemented
44C2×#14579144C2211yescharacteristic
45C2×#14579144C2211yescharacteristic
46C2×#14579144C2211yescharacteristic
47C2×#14579144C2211yescharacteristic
48C2×#14579140C2211yescharacteristic
49C2×#14579140C2211yescharacteristic
50C2×#14579139C2211yescharacteristic, complemented
51C2×#14579139C2211yescharacteristic, complemented
52C2×#14579136C2211yescharacteristic, complemented
53C2×#14579135C2211yescharacteristic
54C2×#14579135C2211yescharacteristic
55C2×#14579134C2211yescharacteristic
56C2×#14579134C2211yescharacteristic
57C2×#14579130C2211yescharacteristic
58C2×#14579130C2211yescharacteristic
59C2×#14579130C2211yescharacteristic
60C2×#14579126C2211yescharacteristic, complemented
61C2×C4×C22⋊D79C2211yescharacteristic
62C2×C4×C22⋊D79C2211yescharacteristic
63C2×C4×C22⋊D79C2211yescharacteristic
64C2×C4×C22⋊D79C2211yescharacteristic
65C2×#14579120C2211yescharacteristic
66C2×#14579119C2211yescharacteristic, complemented
67#19098505C2211yescharacteristic, complemented
68#19098504C2211yescharacteristic, complemented
69#19098499C2211yescharacteristic
70#19098499C2211yescharacteristic
71#19098498C2211yescharacteristic, complemented
72#19098498C2211yescharacteristic, complemented
73#19098496C2211yescharacteristic, complemented
74#19098495C2211yescharacteristic, complemented
75#19098494C2211yescharacteristic, complemented
76#19098493C2211yescharacteristic, complemented
77#19098492C2211yescharacteristic, complemented
78#19098491C2211yescharacteristic
79#19098491C2211yescharacteristic
80#19098491C2211yescharacteristic
81#19098489C2211yescharacteristic, complemented
82#19098488C2211yescharacteristic
83#19098486C2211yescharacteristic
84#19098485C2211yescharacteristic, complemented
85#19098485C2211yescharacteristic, complemented
86#19098485C2211yescharacteristic, complemented
87#19098484C2211yescharacteristic, complemented
88#19098483C2211yescharacteristic, complemented
89#19098483C2211yescharacteristic, complemented
90#19098482C2211yescharacteristic, complemented
91#19098481C2211yescharacteristic, complemented
92#19098480C2211yescharacteristic, complemented
93#19098480C2211yescharacteristic, complemented
94#19098480C2211yescharacteristic, complemented
95#19098479C2211yescharacteristic
96#19098479C2211yescharacteristic
97#19098479C2211yescharacteristic
98#19098479C2211yescharacteristic
99#19098479C2211yescharacteristic
100#19098478C2211yescharacteristic
101#19098478C2211yescharacteristic
102#19098478C2211yescharacteristic
103#19098478C2211yescharacteristic
104#19098478C2211yescharacteristic
105#19098476C2211yescharacteristic, complemented
106#19098476C2211yescharacteristic, complemented
107#19098475C2211yescharacteristic
108#19098475C2211yescharacteristic
109#19098475C2211yescharacteristic
110#19098474C2211yescharacteristic, complemented
111#19098472C2211yescharacteristic
112#19098472C2211yescharacteristic
113#19098472C2211yescharacteristic
114#19098472C2211yescharacteristic
115#19098467C2211yescharacteristic, complemented
116#19098463C2211yescharacteristic
117#19098463C2211yescharacteristic
118#19098463C2211yescharacteristic
119#19098463C2211yescharacteristic
120#19098460C2211yescharacteristic, complemented
121#19098459C2211yescharacteristic, complemented
122#19098458C2211yescharacteristic, complemented
123#19098457C2211yescharacteristic
124#19098457C2211yescharacteristic
125#19098457C2211yescharacteristic
126#19098457C2211yescharacteristic
127#19098456C2211yescharacteristic
128#19098456C2211yescharacteristic
129#19098455C2211yescharacteristic, complemented
130#19098453C2211yescharacteristic, complemented
131#19098452C2211yescharacteristic, complemented
132#19098451C2211yescharacteristic
133#19098450C2211yescharacteristic, complemented
134#19098449C2211yescharacteristic, complemented
135#19098449C2211yescharacteristic, complemented
136#19098448C2211yescharacteristic, complemented
137#19098444C2211yescharacteristic, complemented
138#19098444C2211yescharacteristic, complemented
139#19098444C2211yescharacteristic, complemented
140#19098444C2211yescharacteristic, complemented
141#19098442C2211yescharacteristic
142#19098442C2211yescharacteristic
143#19098442C2211yescharacteristic
144#19098442C2211yescharacteristic
145#19098441C2211yescharacteristic, complemented
146#19098441C2211yescharacteristic, complemented
147#19098441C2211yescharacteristic, complemented
148#19098439C2211yescharacteristic
149#19098439C2211yescharacteristic
150#19098439C2211yescharacteristic
151#19098439C2211yescharacteristic
152#19098439C2211yescharacteristic
153#19098439C2211yescharacteristic
154#19098439C2211yescharacteristic
155#19098437C2211yescharacteristic, complemented
156#19098437C2211yescharacteristic, complemented
157#19098436C2211yescharacteristic
158#19098436C2211yescharacteristic
159#19098436C2211yescharacteristic
160#19098436C2211yescharacteristic
161#19098434C2211yescharacteristic, complemented
162#19098434C2211yescharacteristic, complemented
163#19098434C2211yescharacteristic, complemented
164#19098434C2211yescharacteristic, complemented
165#19098430C2211yescharacteristic, complemented
166#19098427C2211yescharacteristic, complemented
167#19098426C2211yescharacteristic
168#19098426C2211yescharacteristic
169#19098422C2211yescharacteristic, complemented
170#19098420C2211yescharacteristic, complemented
171#19098419C2211yescharacteristic
172#19098410C2211yescharacteristic, complemented
173#95×D79C2211yescharacteristic, complemented
174C24×C4×C79C2211yescharacteristic
175C2×C22⋊Q8×C79C2211yescharacteristic
176C2×C22⋊Q8×C79C2211yescharacteristic
177C2×C22⋊Q8×C79C2211yescharacteristic
178#385×C79C2211yescharacteristic
179#385×C79C2211yescharacteristic
180#385×C79C2211yescharacteristic
181#385×C79C2211yescharacteristic
182#385×C79C2211yescharacteristic
183#385×C79C2211yescharacteristic
184#380×C79C2211yescharacteristic
185#380×C79C2211yescharacteristic
186#380×C79C2211yescharacteristic
187#379×C79C2211yescharacteristic
188#379×C79C2211yescharacteristic
189C2×#11929624—24no—
190C2×#11929624—42no—
191C2×#11929624—42no—
192C22×Dic158C2311yescharacteristic
193C22×Dic158C2311yescharacteristic
194C22×Dic158C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×D316C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C22×C22⋊D79C2311yescharacteristic
205C22×C22⋊D79C2311yescharacteristic
206C22×C22⋊D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212#14579160—42no—
213#14579159—24no—
214#14579156—24no—
215#14579154—24no—
216#14579150—24no—
217#14579147—24no—
218#14579147—24no—
219#14579147—42no—
220#14579146—24no—
221#14579144—24no—
222#14579144—24no—
223#14579144—24no—
224#14579144—42no—
225#14579140—24no—
226#14579140—24no—
227#14579139—24no—
228#14579139—24no—
229#14579136—42no—
230#14579135—24no—
231#14579135—24no—
232#14579134—24no—
233#14579134—42no—
234#14579130—24no—
235#14579130—24no—
236#14579130—42no—
237#14579126—24no—
238C4×C22⋊D79—24no—
239C4×C22⋊D79—24no—
240C4×C22⋊D79—24no—
241C4×C22⋊D79D418yescomplemented
242#14579120—24no—
243#14579119—24no—
244C2×C4⋊Dic79C2311yescharacteristic
245C2×C4⋊Dic79C2311yescharacteristic
246C2×C4⋊Dic79C2311yescharacteristic
247C2×C4⋊Dic79C2311yescharacteristic
248C2×C4⋊Dic79C2311yescharacteristic
249C2×C4⋊Dic79C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
258C2×Dic79⋊C4C2311yescharacteristic
259C2×Dic79⋊C4C2311yescharacteristic
260C2×Dic79⋊C4C2311yescharacteristic
261C2×Dic79⋊C4C2311yescharacteristic
262C2×Dic79⋊C4C2311yescharacteristic
263C2×Dic79⋊C4C2311yescharacteristic
264C2×Dic79⋊C4C2311yescharacteristic
265C2×Dic79⋊C4C2311yescharacteristic
266C2×Dic79⋊C4C2311yescharacteristic
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×C22⋊Dic79C2311yescharacteristic
282C2×(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
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×C4×Dic79C2311yescharacteristic
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
310C2×C4×Dic79C2311yescharacteristic
311C2×C4×Dic79C2311yescharacteristic
312C2×C4×Dic79C2311yescharacteristic
313C2×C4×Dic79C2311yescharacteristic
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
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C79⋊#95C2311yescharacteristic
343C79⋊#95C2311yescharacteristic
344C25×C79C2311yescharacteristic
345C22×Q8×C79C2311yescharacteristic
346C23×C4×C79—24no—
347C23×C4×C79—42no—
348C23×C4×C79—42no—
349C23×C4×C79C2311yescharacteristic
350C23×C4×C79C2311yescharacteristic
351C23×C4×C79C2311yescharacteristic
352C23×C4×C79C2311yescharacteristic
353C23×C4×C79C2311yescharacteristic
354C23×C4×C79C2311yescharacteristic
355C22⋊Q8×C79—24no—
356C22⋊Q8×C79—42no—
357C22⋊Q8×C79—42no—
358C2×C4⋊C4×C79C2311yescharacteristic
359C2×C4⋊C4×C79C2311yescharacteristic
360C2×C4⋊C4×C79C2311yescharacteristic
361C2×C4⋊C4×C79C2311yescharacteristic
362C2×C4⋊C4×C79C2311yescharacteristic
363C2×C4⋊C4×C79C2311yescharacteristic
364C2×C4⋊C4×C79C2311yescharacteristic
365C2×C4⋊C4×C79C2311yescharacteristic
366C2×C4⋊C4×C79C2311yescharacteristic
367C2×C22⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79C2311yescharacteristic
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×C22⋊C4×C79C2311yescharacteristic
377C2×C22⋊C4×C79C2311yescharacteristic
378C2×C22⋊C4×C79C2311yescharacteristic
379#95×C79C2311yescharacteristic
380#95×C79C2311yescharacteristic
381#95×C79C2311yescharacteristic
382#95×C79C2311yescharacteristic
383#95×C79C2311yescharacteristic
384#95×C79C2311yescharacteristic
385C23×D79C2411yescharacteristic
386C23×D79C2411yescharacteristic
387C23×D79C2411yescharacteristic
388#11929624—416no—
389C2×Dic158—22no—
390C2×Dic158—22no—
391C2×Dic158—22no—
392C2×Dic158—22no—
393C2×Dic158—41no—
394C2×Dic158—41no—
395C2×Dic158—41no—
396C2×Dic158—41no—
397C2×Dic158—41no—
398C2×D316—22no—
399C2×D316—22no—
400C2×D316—22no—
401C2×D316—41no—
402C2×D316—41no—
403C2×D316—41no—
404C2×D316—41no—
405C2×D316—41no—
406C2×D316—41no—
407C2×C22⋊D79—22no—
408C2×C22⋊D79—22no—
409C2×C22⋊D79—22no—
410C2×C22⋊D79—22no—
411C2×C22⋊D79—22no—
412C2×C22⋊D79—22no—
413C2×C22⋊D79—22no—
414C2×C22⋊D79—22no—
415C2×C22⋊D79—22no—
416C2×C22⋊D79—22no—
417C2×C22⋊D79—22no—
418C2×C22⋊D79—22no—
419C2×C22⋊D79—41no—
420C2×C22⋊D79—41no—
421C2×C22⋊D79—41no—
422C2×C22⋊D79—41no—
423C2×C22⋊D79—41no—
424C2×C22⋊D79—41no—
425C2×C22⋊D79—41no—
426C2×C22⋊D79—41no—
427C2×C22⋊D79—41no—
428C2×C22⋊D79—41no—
429C2×C22⋊D79—41no—
430C2×C22⋊D79—41no—
431C2×C22⋊D79—41no—
432C2×C22⋊D79—41no—
433C2×C22⋊D79C2×D414yes—
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
443C22×Dic79C2411yescharacteristic
444C22×Dic79C2411yescharacteristic
445C22×Dic79C2411yescharacteristic
446C22×Dic79C2411yescharacteristic
447C2×C4×D79—22no—
448C2×C4×D79—22no—
449C2×C4×D79—41no—
450C2×C4×D79—41no—
451C2×C4×D79—41no—
452C2×C4×D79—41no—
453C2×C4×D79—41no—
454C2×C4×D79—41no—
455C2×C4×D79—41no—
456C2×C4×D79—41no—
457C2×C4×D79—41no—
458C2×C4×D79—41no—
459C2×C4×D79—41no—
460C2×C4×D79—41no—
461C2×C4×D79C2×D414yes—
462C4⋊Dic79—22no—
463C4⋊Dic79—22no—
464C4⋊Dic79—22no—
465C4⋊Dic79—41no—
466C4⋊Dic79—41no—
467C4⋊Dic79—41no—
468Dic79⋊C4—22no—
469Dic79⋊C4—22no—
470Dic79⋊C4—22no—
471Dic79⋊C4—22no—
472Dic79⋊C4—22no—
473Dic79⋊C4—22no—
474Dic79⋊C4—22no—
475Dic79⋊C4—22no—
476Dic79⋊C4—22no—
477Dic79⋊C4—41no—
478Dic79⋊C4—41no—
479Dic79⋊C4—41no—
480Dic79⋊C4—41no—
481Dic79⋊C4—41no—
482Dic79⋊C4—41no—
483Dic79⋊C4—41no—
484Dic79⋊C4C2×D414yes—
485C22⋊Dic79—22no—
486C22⋊Dic79—22no—
487C22⋊Dic79—22no—
488C22⋊Dic79—22no—
489C22⋊Dic79—22no—
490C22⋊Dic79—22no—
491C22⋊Dic79—22no—
492C22⋊Dic79—22no—
493C22⋊Dic79—41no—
494C22⋊Dic79—41no—
495C22⋊Dic79—41no—
496C22⋊Dic79—41no—
497C22⋊Dic79—41no—
498C22⋊Dic79—41no—
499C22⋊Dic79C2×D414yes—
500(C2×D79)⋊C4—22no—
501(C2×D79)⋊C4—22no—
502(C2×D79)⋊C4—22no—
503(C2×D79)⋊C4—22no—
504(C2×D79)⋊C4—22no—
505(C2×D79)⋊C4—22no—
506(C2×D79)⋊C4—22no—
507(C2×D79)⋊C4—22no—
508(C2×D79)⋊C4—22no—
509(C2×D79)⋊C4—22no—
510(C2×D79)⋊C4—22no—
511(C2×D79)⋊C4—41no—
512(C2×D79)⋊C4—41no—
513(C2×D79)⋊C4—41no—
514(C2×D79)⋊C4—41no—
515(C2×D79)⋊C4—41no—
516(C2×D79)⋊C4—41no—
517(C2×D79)⋊C4—41no—
518(C2×D79)⋊C4—41no—
519(C2×D79)⋊C4—41no—
520(C2×D79)⋊C4—41no—
521(C2×D79)⋊C4—41no—
522(C2×D79)⋊C4—41no—
523(C2×D79)⋊C4—41no—
524(C2×D79)⋊C4C2×D414yes—
525C4×Dic79—22no—
526C4×Dic79—22no—
527C4×Dic79—22no—
528C4×Dic79—22no—
529C4×Dic79—41no—
530C4×Dic79—41no—
531C4×Dic79C2×D414yes—
532C24×C79—22no—
533C24×C79—22no—
534C24×C79—22no—
535C24×C79—41no—
536C24×C79—41no—
537C24×C79—41no—
538C24×C79—41no—
539C24×C79C2411yescharacteristic
540C24×C79C2411yescharacteristic
541C24×C79C2411yescharacteristic
542C2×Q8×C79—22no—
543C2×Q8×C79—41no—
544C2×Q8×C79—41no—
545C22×C4×C79—22no—
546C22×C4×C79—22no—
547C22×C4×C79—22no—
548C22×C4×C79—22no—
549C22×C4×C79—22no—
550C22×C4×C79—22no—
551C22×C4×C79—22no—
552C22×C4×C79—22no—
553C22×C4×C79—22no—
554C22×C4×C79—22no—
555C22×C4×C79—41no—
556C22×C4×C79—41no—
557C22×C4×C79—41no—
558C22×C4×C79—41no—
559C22×C4×C79—41no—
560C22×C4×C79—41no—
561C22×C4×C79—41no—
562C22×C4×C79—416no—
563C22×C4×C79C2×D414yes—
564C22×C4×C79C2411yescharacteristic
565C22×C4×C79C2411yescharacteristic
566C22×C4×C79C2411yescharacteristic
567C22×C4×C79C2411yescharacteristic
568C22×C4×C79C2411yescharacteristic
569C22×C4×C79C2411yescharacteristic
570C22×C4×C79C2411yescharacteristic
571C22×C4×C79C2411yescharacteristic
572C22×C4×C79C2411yescharacteristic
573C22×C4×C79C2411yescharacteristic
574C22×C4×C79C2411yescharacteristic
575C22×C4×C79C2411yescharacteristic
576C4⋊C4×C79—22no—
577C4⋊C4×C79—22no—
578C4⋊C4×C79—22no—
579C4⋊C4×C79—22no—
580C4⋊C4×C79—22no—
581C4⋊C4×C79—41no—
582C4⋊C4×C79—41no—
583C4⋊C4×C79—41no—
584C4⋊C4×C79—41no—
585C22⋊C4×C79—22no—
586C22⋊C4×C79—22no—
587C22⋊C4×C79—22no—
588C22⋊C4×C79—22no—
589C22⋊C4×C79—41no—
590C22⋊C4×C79—41no—
591C22⋊C4×C79—41no—
592C22⋊C4×C79—41no—
593C22⋊C4×C79—41no—
594C22⋊C4×C79—41no—
595C22⋊C4×C79—41no—
596C22⋊C4×C79—41no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79—21no—
602C23×C79—21no—
603C23×C79—21no—
604C23×C79—21no—
605C23×C79—21no—
606C23×C79—21no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79—21no—
611C23×C79—21no—
612C23×C79—21no—
613C23×C79—21no—
614C23×C79—21no—
615C23×C79—44no—
616C23×C79—44no—
617C23×C79—44no—
618C23×C79—44no—
619C23×C79—44no—
620C23×C79—44no—
621C23×C79—44no—
622C23×C79C22×D412yes—
623C23×C79H(5,𝔽2)12yes—
624C23×C792−1+412yes—
625C23×C79C2511yescharacteristic
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—21no—
630C22×D79—21no—
631C22×D79—21no—
632C22×D79—21no—
633C22×D79—21no—
634C22×D79—21no—
635C22×D79—21no—
636C22×D79—21no—
637C22×D79—21no—
638C22×D79—21no—
639C22×D79—21no—
640C22×D79—21no—
641C22×D79—21no—
642C22×D79—21no—
643C22×D79—21no—
644C22×D79—21no—
645C22×D79—21no—
646C22×D79C22×D412yes—
647Q8×C79—82no—
648C2×C4×C79—28no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
681C2×C4×C79—21no—
682C2×C4×C79—44no—
683C2×C4×C79—44no—
684C2×C4×C79—44no—
685C2×C4×C79—44no—
686C2×C4×C79—44no—
687C2×C4×C79C22×D412yes—
688C2×C4×C79C22×D412yes—
689C2×C4×C79H(5,𝔽2)12yes—
690C22⋊D79—44no—
691C22⋊D79—44no—
692C22⋊D79—44no—
693C22⋊D79—44no—
694C22⋊D79—44no—
695C22⋊D79—44no—
696C22⋊D79—82no—
697C22⋊D79—82no—
698C22⋊D79—82no—
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—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—21no—
731C2×Dic79—21no—
732C2×Dic79—21no—
733C2×Dic79—21no—
734C2×Dic79—21no—
735C2×Dic79C22×D412yes—
736C2×Dic79C22×D412yes—
737C2×Dic79C22×D412yes—
738D316—44no—
739D316—82no—
740D316—82no—
741C4×D79—44no—
742C4×D79—44no—
743C4×D79—44no—
744C4×D79—82no—
745C4×D79—82no—
746Dic158—44no—
747Dic158—44no—
748Dic158—82no—
749C22×C79—22no—
750C22×C79—22no—
751C22×C79—22no—
752C22×C79—22no—
753C22×C79—22no—
754C22×C79—22no—
755C22×C79—22no—
756C22×C79—22no—
757C22×C79—22no—
758C22×C79—416no—
759C22×C79—41no—
760C22×C79—41no—
761C22×C79—41no—
762C22×C79—41no—
763C22×C79—41no—
764C22×C79—41no—
765C22×C79—41no—
766C22×C79—41no—
767C22×C79—41no—
768C22×C79—41no—
769C22×C79—41no—
770C22×C79—41no—
771C22×C79C23×D411yescharacteristic
772C22×C79C2×H(5,𝔽2)11yescharacteristic
773C22×C79C2×H(5,𝔽2)11yescharacteristic
774C22×C79C2×2−1+411yescharacteristic
775C22×C79#58511yescharacteristic
776C22×C79#58511yescharacteristic
777C22×C79#58511yescharacteristic
778C2×D79—22no—
779C2×D79—22no—
780C2×D79—22no—
781C2×D79—41no—
782C2×D79—41no—
783C2×D79—41no—
784C2×D79—41no—
785C2×D79—41no—
786C2×D79—41no—
787C2×D79—41no—
788C2×D79—41no—
789C2×D79—41no—
790C2×D79—41no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
794C2×D79—41no—
795C2×D79—41no—
796C2×D79—41no—
797C2×D79—41no—
798C2×D79—41no—
799C4×C79—22no—
800C4×C79—22no—
801C4×C79—22no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79—41no—
808C4×C79—41no—
809C4×C79—41no—
810C4×C79—41no—
811Dic79—22no—
812Dic79—22no—
813Dic79—22no—
814Dic79—41no—
815Dic79—41no—
816Dic79—41no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822Dic79—41no—
823Dic79—41no—
824#36712—791nomaximal, Sylow
825C2×C79—42no—
826C2×C79—42no—
827C2×C79—42no—
828C2×C79#344911yescharacteristic
829C2×C79#348411yescharacteristic
830C2×C79#348911yescharacteristic
831C2×C79#353311yescharacteristic
832C2×C79#353511yescharacteristic
833C2×C79#354011yescharacteristic
834C2×C79#354111yescharacteristic
835D79—42no—
836D79—81no—
837D79—81no—
838C2×#542—791no—
839C2×#525—791no—
840#2849—791no—
841#2848D7911yescharacteristic, complemented
842#2696—791no—
843#2695—791no—
844#2692—791no—
845#2691—791no—
846#2689—791no—
847#2686—791no—
848#2685—791no—
849#2684—791no—
850#2677—791no—
851#2676—791no—
852#2674—791no—
853#2674—791no—
854#2672—791no—
855#2671—791no—
856#2670—791no—
857#2668—791no—
858#2638—791no—
859#2630—791no—
860#2609—791no—
861#2602—791no—
862#2599—791no—
863#2598—791no—
864#2580—791no—
865#2564—791no—
866#2432—791no—
867#2430—791no—
868#2318—791no—
869C79#3671211yescharacteristic, complemented, Sylow
870C22×#41—791no—
871C24×C4C2×D7911yescharacteristic
872#542—1588no—
873C2×C4⋊Q8—791no—
874C2×C4⋊Q8—791no—
875C2×#126—791no—
876C2×#126—791no—
877C2×#124—791no—
878C2×#124—791no—
879C2×#124—791no—
880C2×#124—791no—
881#525—1588no—
882C2×#123—791no—
883C2×#123—791no—
884C2×#123—791no—
885C2×#123—791no—
886C2×#123—791no—
887C2×C22⋊Q8—791no—
888C2×C22⋊Q8—791no—
889C2×C22⋊Q8—791no—
890C2×C22⋊Q8—791no—
891C2×C22⋊Q8C2×D7911yescharacteristic
892C2×C22⋊Q8C2×D7911yescharacteristic
893C2×C22⋊Q8C2×D7911yescharacteristic
894C2×#121—791no—
895C2×#121—791no—
896C2×#121—791no—
897C2×#121—791no—
898C2×#121—791no—
899C2×#120—791no—
900C2×#120—791no—
901C2×#120—791no—
902C2×C4×Q8—791no—
903C2×C4×D4—791no—
904C2×C4×D4—791no—
905C2×C4×D4—791no—
906C2×C4×D4—791no—
907C2×#117—791no—
908C2×#117—791no—
909#400—791no—
910#400—791no—
911#399—791no—
912#399—791no—
913#399—791no—
914#399—791no—
915#398—791no—
916#398—791no—
917#398—791no—
918#398—791no—
919#397—791no—
920#397—791no—
921#397—791no—
922#397—791no—
923#397—791no—
924#397—791no—
925#396—791no—
926#396—791no—
927#396—791no—
928#396—791no—
929#395—791no—
930#395—791no—
931#395—791no—
932#395—791no—
933#394—791no—
934#394—791no—
935#394—791no—
936#394—791no—
937#394—791no—
938#394—791no—
939#394—791no—
940#394—791no—
941#394—791no—
942#394—791no—
943#394—791no—
944#394—791no—
945#394—791no—
946#394—791no—
947#393—791no—
948#393—791no—
949#393—791no—
950#393—791no—
951#393—791no—
952#393—791no—
953#392—791no—
954#392—791no—
955#392—791no—
956#392—791no—
957#391—791no—
958#390—791no—
959#390—791no—
960#390—791no—
961#390—791no—
962#389—791no—
963#389—791no—
964#389—791no—
965#388—791no—
966#388—791no—
967#388—791no—
968#388—791no—
969#388—791no—
970#388—791no—
971#388—791no—
972#388—791no—
973#388—791no—
974#388—791no—
975#387—791no—
976#387—791no—
977#387—791no—
978#387—791no—
979#387—791no—
980#387—791no—
981#387—791no—
982#387—791no—
983#386—791no—
984#386—791no—
985#386—791no—
986#386—791no—
987#386—791no—
988#386—791no—
989#386—791no—
990#386—791no—
991#386—791no—
992#386—791no—
993#386—791no—
994#386—791no—
995#386—791no—
996#386—791no—
997#385—791no—
998#385—791no—
999#385—791no—
1000#385—791no—
1001#385—791no—
1002#385—791no—
1003#385—791no—
1004#385—791no—
1005#385—791no—
1006#385—791no—
1007#385C2×D7911yescharacteristic
1008#385C2×D7911yescharacteristic
1009#385C2×D7911yescharacteristic
1010#385C2×D7911yescharacteristic
1011#385C2×D7911yescharacteristic
1012#385C2×D7911yescharacteristic
1013#383—791no—
1014#382—791no—
1015#381—791no—
1016#381—791no—
1017#380—791no—
1018#380—791no—
1019#380C2×D7911yescharacteristic
1020#380C2×D7911yescharacteristic
1021#380C2×D7911yescharacteristic
1022#379—791no—
1023#379C2×D7911yescharacteristic
1024#379C2×D7911yescharacteristic
1025C4×C22⋊C4—791no—
1026C2×#95—791no—
1027C25C22×D7911yescharacteristic
1028C2×#41—3162no—
1029C2×#41—3162no—
1030C2×#41—1584no—
1031C22×Q8—791no—
1032C22×Q8—791no—
1033C22×Q8—791no—
1034C22×Q8C22×D7911yescharacteristic
1035C22×D4—791no—
1036C22×D4—791no—
1037C22×D4—791no—
1038C22×D4—791no—
1039C22×D4—791no—
1040C22×D4—791no—
1041C22×D4—791no—
1042C22×D4—791no—
1043C22×D4—791no—
1044C22×D4—791no—
1045C22×D4—791no—
1046C22×D4—791no—
1047C23×C4—24no—
1048C23×C4—42no—
1049C23×C4—42no—
1050C23×C4—791no—
1051C23×C4—791no—
1052C23×C4—791no—
1053C23×C4—791no—
1054C23×C4—791no—
1055C23×C4C22×D7911yescharacteristic
1056C23×C4C22×D7911yescharacteristic
1057C23×C4C22×D7911yescharacteristic
1058C23×C4C22×D7911yescharacteristic
1059C23×C4C22×D7911yescharacteristic
1060C23×C4C22×D7911yescharacteristic
1061C4⋊Q8—3162no—
1062C4⋊Q8—1584no—
1063#126—1584no—
1064#126—1584no—
1065#124—3162no—
1066#124—1584no—
1067#124—1584no—
1068#124—1584no—
1069#123—3162no—
1070#123—1584no—
1071#123—1584no—
1072#123—1584no—
1073#123—1584no—
1074C22⋊Q8—24no—
1075C22⋊Q8—42no—
1076C22⋊Q8—42no—
1077C22⋊Q8—1584no—
1078C22⋊Q8—1584no—
1079C22⋊Q8—1584no—
1080C22⋊Q8—1584no—
1081#121—3162no—
1082#121—3162no—
1083#121—1584no—
1084#121—1584no—
1085#121—1584no—
1086#120—3162no—
1087#120—1584no—
1088#120—1584no—
1089C4×Q8—1584no—
1090C4×D4—798no—
1091C4×D4—1584no—
1092C4×D4—1584no—
1093C4×D4—1584no—
1094#117—1584no—
1095#117—1584no—
1096C2×C4⋊C4—791no—
1097C2×C4⋊C4—791no—
1098C2×C4⋊C4—791no—
1099C2×C4⋊C4—791no—
1100C2×C4⋊C4—791no—
1101C2×C4⋊C4—791no—
1102C2×C4⋊C4—791no—
1103C2×C4⋊C4—791no—
1104C2×C4⋊C4—791no—
1105C2×C4⋊C4—791no—
1106C2×C4⋊C4—791no—
1107C2×C4⋊C4—791no—
1108C2×C4⋊C4—791no—
1109C2×C4⋊C4—791no—
1110C2×C4⋊C4—791no—
1111C2×C4⋊C4—791no—
1112C2×C4⋊C4—791no—
1113C2×C4⋊C4—791no—
1114C2×C4⋊C4—791no—
1115C2×C4⋊C4—791no—
1116C2×C4⋊C4—791no—
1117C2×C4⋊C4—791no—
1118C2×C4⋊C4—791no—
1119C2×C4⋊C4C22×D7911yescharacteristic
1120C2×C4⋊C4C22×D7911yescharacteristic
1121C2×C4⋊C4C22×D7911yescharacteristic
1122C2×C4⋊C4C22×D7911yescharacteristic
1123C2×C4⋊C4C22×D7911yescharacteristic
1124C2×C4⋊C4C22×D7911yescharacteristic
1125C2×C4⋊C4C22×D7911yescharacteristic
1126C2×C4⋊C4C22×D7911yescharacteristic
1127C2×C4⋊C4C22×D7911yescharacteristic
1128C2×C22⋊C4—791no—
1129C2×C22⋊C4—791no—
1130C2×C22⋊C4—791no—
1131C2×C22⋊C4—791no—
1132C2×C22⋊C4—791no—
1133C2×C22⋊C4—791no—
1134C2×C22⋊C4—791no—
1135C2×C22⋊C4—791no—
1136C2×C22⋊C4—791no—
1137C2×C22⋊C4—791no—
1138C2×C22⋊C4—791no—
1139C2×C22⋊C4—791no—
1140C2×C22⋊C4—791no—
1141C2×C22⋊C4—791no—
1142C2×C22⋊C4—791no—
1143C2×C22⋊C4—791no—
1144C2×C22⋊C4—791no—
1145C2×C22⋊C4—791no—
1146C2×C22⋊C4—791no—
1147C2×C22⋊C4—791no—
1148C2×C22⋊C4—791no—
1149C2×C22⋊C4—791no—
1150C2×C22⋊C4—791no—
1151C2×C22⋊C4—791no—
1152C2×C22⋊C4—791no—
1153C2×C22⋊C4—791no—
1154C2×C22⋊C4—791no—
1155C2×C22⋊C4—791no—
1156C2×C22⋊C4—791no—
1157C2×C22⋊C4—791no—
1158C2×C22⋊C4—791no—
1159C2×C22⋊C4—791no—
1160C2×C22⋊C4—791no—
1161C2×C22⋊C4—791no—
1162C2×C22⋊C4—791no—
1163C2×C22⋊C4—791no—
1164C2×C22⋊C4—791no—
1165C2×C22⋊C4—791no—
1166C2×C22⋊C4—791no—
1167C2×C22⋊C4—791no—
1168C2×C22⋊C4C22×D7911yescharacteristic
1169C2×C22⋊C4C22×D7911yescharacteristic
1170C2×C22⋊C4C22×D7911yescharacteristic
1171C2×C22⋊C4C22×D7911yescharacteristic
1172C2×C22⋊C4C22×D7911yescharacteristic
1173C2×C22⋊C4C22×D7911yescharacteristic
1174C2×C22⋊C4C22×D7911yescharacteristic
1175C2×C22⋊C4C22×D7911yescharacteristic
1176C2×C22⋊C4C22×D7911yescharacteristic
1177C2×C22⋊C4C22×D7911yescharacteristic
1178C2×C22⋊C4C22×D7911yescharacteristic
1179C2×C22⋊C4C22×D7911yescharacteristic
1180C2×C42—791no—
1181C2×C42—791no—
1182C2×C42—791no—
1183C2×C42—791no—
1184C2×C42—791no—
1185C2×C42—791no—
1186C2×C42—791no—
1187#95—791no—
1188#95—791no—
1189#95—791no—
1190#95—791no—
1191#95—791no—
1192#95—791no—
1193#95—791no—
1194#95—791no—
1195#95—791no—
1196#95—791no—
1197#95—791no—
1198#95—791no—
1199#95—791no—
1200#95—791no—
1201#95—791no—
1202#95—791no—
1203#95—791no—
1204#95—791no—
1205#95—791no—
1206#95—791no—
1207#95—791no—
1208#95—791no—
1209#95—791no—
1210#95—791no—
1211#95—791no—
1212#95—791no—
1213#95—791no—
1214#95—791no—
1215#95—791no—
1216#95—791no—
1217#95C22×D7911yescharacteristic
1218#95C22×D7911yescharacteristic
1219#95C22×D7911yescharacteristic
1220#95C22×D7911yescharacteristic
1221#95C22×D7911yescharacteristic
1222#95C22×D7911yescharacteristic
1223C24—22no—
1224C24—22no—
1225C24—22no—
1226C24—41no—
1227C24—41no—
1228C24—41no—
1229C24—41no—
1230C24—791no—
1231C24—791no—
1232C24—791no—
1233C24C23×D7911yescharacteristic
1234C24C23×D7911yescharacteristic
1235C24C23×D7911yescharacteristic
1236#41—31616no—
1237C2×Q8—22no—
1238C2×Q8—41no—
1239C2×Q8—41no—
1240C2×Q8—3161no—
1241C2×Q8—3161no—
1242C2×Q8—3161no—
1243C2×Q8—3161no—
1244C2×Q8—3161no—
1245C2×Q8—1582no—
1246C2×Q8—1582no—
1247C2×Q8—1582no—
1248C2×Q8—1582no—
1249C2×D4—3161no—
1250C2×D4—3161no—
1251C2×D4—3161no—
1252C2×D4—3161no—
1253C2×D4—3161no—
1254C2×D4—3161no—
1255C2×D4—3161no—
1256C2×D4—3161no—
1257C2×D4—3161no—
1258C2×D4—3161no—
1259C2×D4—3161no—
1260C2×D4—3161no—
1261C2×D4—3161no—
1262C2×D4—3161no—
1263C2×D4—3161no—
1264C2×D4—3161no—
1265C2×D4—3161no—
1266C2×D4—3161no—
1267C2×D4—3161no—
1268C2×D4—3161no—
1269C2×D4—794no—
1270C2×D4—1582no—
1271C2×D4—1582no—
1272C2×D4—1582no—
1273C2×D4—1582no—
1274C2×D4—1582no—
1275C2×D4—1582no—
1276C2×D4—1582no—
1277C2×D4—1582no—
1278C2×D4—1582no—
1279C2×D4—1582no—
1280C2×D4—1582no—
1281C2×D4—1582no—
1282C2×D4—1582no—
1283C2×D4—1582no—
1284C2×D4—1582no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—416no—
1303C22×C4—3161no—
1304C22×C4—3161no—
1305C22×C4—3161no—
1306C22×C4—3161no—
1307C22×C4—3161no—
1308C22×C4—3161no—
1309C22×C4—3161no—
1310C22×C4—3161no—
1311C22×C4—3161no—
1312C22×C4—3161no—
1313C22×C4—3161no—
1314C22×C4—3161no—
1315C22×C4—794no—
1316C22×C4—791no—
1317C22×C4—791no—
1318C22×C4—791no—
1319C22×C4—791no—
1320C22×C4—791no—
1321C22×C4—791no—
1322C22×C4—791no—
1323C22×C4—791no—
1324C22×C4—791no—
1325C22×C4—791no—
1326C22×C4—791no—
1327C22×C4—791no—
1328C22×C4—791no—
1329C22×C4—1582no—
1330C22×C4—1582no—
1331C22×C4D4×D7914yes—
1332C22×C4C23×D7911yescharacteristic
1333C22×C4C23×D7911yescharacteristic
1334C22×C4C23×D7911yescharacteristic
1335C22×C4C23×D7911yescharacteristic
1336C22×C4C23×D7911yescharacteristic
1337C22×C4C23×D7911yescharacteristic
1338C22×C4C23×D7911yescharacteristic
1339C22×C4C23×D7911yescharacteristic
1340C22×C4C23×D7911yescharacteristic
1341C22×C4C23×D7911yescharacteristic
1342C22×C4C23×D7911yescharacteristic
1343C22×C4C23×D7911yescharacteristic
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—3161no—
1354C4⋊C4—3161no—
1355C4⋊C4—3161no—
1356C4⋊C4—3161no—
1357C4⋊C4—3161no—
1358C4⋊C4—3161no—
1359C4⋊C4—3161no—
1360C4⋊C4—3161no—
1361C4⋊C4—3161no—
1362C4⋊C4—3161no—
1363C4⋊C4—794no—
1364C4⋊C4—1582no—
1365C4⋊C4—1582no—
1366C4⋊C4—1582no—
1367C4⋊C4—1582no—
1368C4⋊C4—1582no—
1369C4⋊C4—1582no—
1370C4⋊C4—1582no—
1371C4⋊C4—1582no—
1372C4⋊C4—1582no—
1373C4⋊C4—1582no—
1374C4⋊C4—1582no—
1375C4⋊C4—1582no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—3161no—
1389C22⋊C4—3161no—
1390C22⋊C4—3161no—
1391C22⋊C4—3161no—
1392C22⋊C4—3161no—
1393C22⋊C4—3161no—
1394C22⋊C4—3161no—
1395C22⋊C4—3161no—
1396C22⋊C4—3161no—
1397C22⋊C4—3161no—
1398C22⋊C4—3161no—
1399C22⋊C4—3161no—
1400C22⋊C4—3161no—
1401C22⋊C4—3161no—
1402C22⋊C4—3161no—
1403C22⋊C4—3161no—
1404C22⋊C4—3161no—
1405C22⋊C4—3161no—
1406C22⋊C4—3161no—
1407C22⋊C4—794no—
1408C22⋊C4—794no—
1409C22⋊C4—1582no—
1410C22⋊C4—1582no—
1411C22⋊C4—1582no—
1412C22⋊C4—1582no—
1413C22⋊C4—1582no—
1414C22⋊C4—1582no—
1415C22⋊C4—1582no—
1416C22⋊C4—1582no—
1417C22⋊C4—1582no—
1418C22⋊C4—1582no—
1419C22⋊C4—1582no—
1420C22⋊C4—1582no—
1421C22⋊C4—1582no—
1422C22⋊C4—1582no—
1423C22⋊C4—1582no—
1424C22⋊C4—1582no—
1425C22⋊C4—1582no—
1426C22⋊C4—1582no—
1427C22⋊C4—1582no—
1428C42—3161no—
1429C42—3161no—
1430C42—794no—
1431C42—1582no—
1432C42—1582no—
1433C42—1582no—
1434C42—1582no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—44no—
1459C23—44no—
1460C23—792no—
1461C23—1581no—
1462C23—1581no—
1463C23—1581no—
1464C23—1581no—
1465C23—1581no—
1466C23—1581no—
1467C23—1581no—
1468C23—1581no—
1469C23—1581no—
1470C23—1581no—
1471C23—1581no—
1472C23—1581no—
1473C23—1581no—
1474C23—1581no—
1475C23—1581no—
1476C23—1581no—
1477C23—1581no—
1478C23—1581no—
1479C23—1581no—
1480C23—1581no—
1481C23C2×D4×D7912yes—
1482C23#1457920612yes—
1483C23#1457920912yes—
1484C23C24×D7911yescharacteristic
1485Q8—82no—
1486Q8—3164no—
1487Q8—3164no—
1488Q8—6322no—
1489D4—3164no—
1490D4—3164no—
1491D4—3164no—
1492D4—3164no—
1493D4—3164no—
1494D4—3164no—
1495D4—3164no—
1496D4—6322no—
1497D4—6322no—
1498D4—6322no—
1499D4—6322no—
1500D4—6322no—
1501C2×C4—28no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—3164no—
1541C2×C4—3164no—
1542C2×C4—3164no—
1543C2×C4—792no—
1544C2×C4—792no—
1545C2×C4—792no—
1546C2×C4—6322no—
1547C2×C4—6322no—
1548C2×C4—1581no—
1549C2×C4—1581no—
1550C2×C4—1581no—
1551C2×C4—1581no—
1552C2×C4—1581no—
1553C2×C4—1581no—
1554C2×C4—1581no—
1555C2×C4—1581no—
1556C2×C4—1581no—
1557C2×C4—1581no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1581no—
1565C2×C4—1581no—
1566C2×C4—1581no—
1567C2×C4—1581no—
1568C2×C4—1581no—
1569C2×C4—1581no—
1570C2×C4—1581no—
1571C2×C4—1581no—
1572C2×C4—1581no—
1573C2×C4—1581no—
1574C2×C4—1581no—
1575C2×C4—1581no—
1576C2×C4—1581no—
1577C2×C4—1581no—
1578C2×C4—1581no—
1579C2×C4—1581no—
1580C2×C4—1581no—
1581C2×C4—1581no—
1582C2×C4—1581no—
1583C2×C4—1581no—
1584C2×C4C2×D4×D7912yes—
1585C2×C4C2×D4×D7912yes—
1586C2×C4#1457920612yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—416no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—3161no—
1610C22—3161no—
1611C22—3161no—
1612C22—3161no—
1613C22—3161no—
1614C22—3161no—
1615C22—3161no—
1616C22—3161no—
1617C22—3161no—
1618C22—3161no—
1619C22—3161no—
1620C22—3161no—
1621C22—3161no—
1622C22—3161no—
1623C22—3161no—
1624C22—3161no—
1625C22—3161no—
1626C22—3161no—
1627C22—1582no—
1628C22—1582no—
1629C22—1582no—
1630C22C22×D4×D7911yescharacteristic
1631C22C2×#1457920611yescharacteristic
1632C22C2×#1457920611yescharacteristic
1633C22C2×#1457920911yescharacteristic
1634C22#1909939911yescharacteristic
1635C22#1909939911yescharacteristic
1636C22#1909939911yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—3161no—
1650C4—3161no—
1651C4—3161no—
1652C4—3161no—
1653C4—3161no—
1654C4—3161no—
1655C4—3161no—
1656C4—3161no—
1657C4—3161no—
1658C4—3161no—
1659C4—1582no—
1660C4—1582no—
1661C4—1582no—
1662C2—42no—
1663C2—42no—
1664C2—42no—
1665C2—3162no—
1666C2—6321no—
1667C2—6321no—
1668C2#2377673011yescharacteristic
1669C2#2377702911yescharacteristic
1670C2#2377707611yescharacteristic
1671C2#2377756411yescharacteristic
1672C2#2377760911yescharacteristic
1673C2#2377767511yescharacteristic
1674C2#2377769711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2848C2
hypercenter#2848D79
hypocenterC79#36712
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2848

Complements

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

NH ≅ G/Ntype
1. C2×#19099183C2semidirect
2. C2×#19099074C2semidirect
3. #23771692C2semidirect
4. #23769950C2semidirect
5. #23769935C2semidirect
6. #23769896C2semidirect
7. #23769881C2semidirect
8. #23769855C2semidirect
9. #23769810C2semidirect
10. #23769795C2semidirect
11. #23769780C2semidirect
12. #23769711C2semidirect
13. #23769697C2semidirect
14. #23769685C2semidirect
15. #23769677C2semidirect
16. #23769647C2semidirect
17. #23769640C2semidirect
18. #23769626C2semidirect
19. #23769608C2semidirect
20. #23769318C2semidirect
21. #23769241C2semidirect
22. #23769076C2semidirect
23. #23769016C2semidirect
24. #23768973C2semidirect
25. #23768965C2semidirect
26. #23768757C2semidirect
27. #23768585C2semidirect
28. #23767026C2semidirect
29. #23767009C2semidirect
30. #23766035C2semidirect
31. C79×#2848C2semidirect
34. C2×#14579160C22semidirect
35. C2×#14579159C22semidirect
36. C2×#14579156C22semidirect
38. C2×#14579150C22semidirect
43. C2×#14579146C22semidirect
50. C2×#14579139C22semidirect
51. C2×#14579139C22semidirect
52. C2×#14579136C22semidirect
60. C2×#14579126C22semidirect
66. C2×#14579119C22semidirect
67. #19098505C22semidirect
68. #19098504C22semidirect
71. #19098498C22semidirect
72. #19098498C22semidirect
73. #19098496C22semidirect
74. #19098495C22semidirect
75. #19098494C22semidirect
76. #19098493C22semidirect
77. #19098492C22semidirect
81. #19098489C22semidirect
84. #19098485C22semidirect
85. #19098485C22semidirect
86. #19098485C22semidirect
87. #19098484C22semidirect
88. #19098483C22semidirect
89. #19098483C22semidirect
90. #19098482C22semidirect
91. #19098481C22semidirect
92. #19098480C22semidirect
93. #19098480C22semidirect
94. #19098480C22semidirect
105. #19098476C22semidirect
106. #19098476C22semidirect
110. #19098474C22semidirect
115. #19098467C22semidirect
120. #19098460C22semidirect
121. #19098459C22semidirect
122. #19098458C22semidirect
129. #19098455C22semidirect
130. #19098453C22semidirect
131. #19098452C22semidirect
133. #19098450C22semidirect
134. #19098449C22semidirect
135. #19098449C22semidirect
136. #19098448C22semidirect
137. #19098444C22semidirect
138. #19098444C22semidirect
139. #19098444C22semidirect
140. #19098444C22semidirect
145. #19098441C22semidirect
146. #19098441C22semidirect
147. #19098441C22semidirect
155. #19098437C22semidirect
156. #19098437C22semidirect
161. #19098434C22semidirect
162. #19098434C22semidirect
163. #19098434C22semidirect
164. #19098434C22semidirect
165. #19098430C22semidirect
166. #19098427C22semidirect
169. #19098422C22semidirect
170. #19098420C22semidirect
172. #19098410C22semidirect
173. #95×D79C22semidirect
241. C4×C22⋊D79D4semidirect
841. #2848D79semidirect
869. C79#36712semidirect

Maximal subgroups

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

subgroupindex
C2×#190991832
C2×#190990742
#237716922
#237699502
#237699352
#237698962
#237698812
#237698552
#237698102
#237697952
#237697802
#237697112
#237696972
#237696852
#237696772
#237696472
#237696402
#237696262
#237696082
#237693182
#237692412
#237690762
#237690162
#237689732
#237689652
#237687572
#237685852
#237670262
#237670092
#237660352
C79×#28482
#3671279