Finite Group Databasebeta

← #34451332

Subgroups — #34451332

Order 20224.

2614 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099071C211yesmaximal, characteristic
2#23766565C211yesmaximal, characteristic, complemented
3#23766562C211yesmaximal, characteristic, complemented
4#23766556C211yesmaximal, characteristic, complemented
5#23766553C211yesmaximal, characteristic, complemented
6#23766382C211yesmaximal, characteristic, complemented
7#23766380C211yesmaximal, characteristic, complemented
8#23766377C211yesmaximal, characteristic, complemented
9#23766376C211yesmaximal, characteristic, complemented
10#23766339C211yesmaximal, characteristic, complemented
11#23766335C211yesmaximal, characteristic, complemented
12#23766309C211yesmaximal, characteristic, complemented
13#23766306C211yesmaximal, characteristic, complemented
14#23766258C211yesmaximal, characteristic, complemented
15#23766254C211yesmaximal, characteristic, complemented
16#23766226C211yesmaximal, characteristic, complemented
17#23766225C211yesmaximal, characteristic, complemented
18#23766134C211yesmaximal, characteristic, complemented
19#23766127C211yesmaximal, characteristic, complemented
20#23766104C211yesmaximal, characteristic, complemented
21#23766097C211yesmaximal, characteristic, complemented
22#23766072C211yesmaximal, characteristic, complemented
23#23766069C211yesmaximal, characteristic, complemented
24#23766066C211yesmaximal, characteristic, complemented
25#23766041C211yesmaximal, characteristic, complemented
26#23766039C211yesmaximal, characteristic, complemented
27#23766032C211yesmaximal, characteristic, complemented
28#23766028C211yesmaximal, characteristic, complemented
29#381×D79C211yesmaximal, characteristic, complemented
30C2×#19098420C211yesmaximal, characteristic, complemented
31C79×#2322C211yesmaximal, characteristic, complemented
32C22×#11929623C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34#19099071C4116yescomplemented
35C2×#14579144C2211yescharacteristic
36C2×#14579139C2211yescharacteristic
37C2×#14579139C2211yescharacteristic
38C2×#14579134C2211yescharacteristic
39C2×#14579134C2211yescharacteristic
40C2×#14579131C2211yescharacteristic
41C2×#14579129C2211yescharacteristic
42C2×C4×D316C2211yescharacteristic
43C2×D4×Dic79C2211yescharacteristic
44C2×#14579123C2211yescharacteristic
45C2×#14579123C2211yescharacteristic
46C2×#14579123C2211yescharacteristic
47C2×C4×C22⋊D79C2211yescharacteristic
48C2×C4×C22⋊D79C2211yescharacteristic
49C2×(C22⋊D79)⋊C4C2211yescharacteristic
50C2×(C22⋊D79)⋊C4C2211yescharacteristic
51C2×(C22⋊D79)⋊C4C2211yescharacteristic
52C2×(C22⋊D79)⋊C4C2211yescharacteristic
53C2×#14579117C2211yescharacteristic
54C22×C4⋊Dic79C2211yescharacteristic
55C22×(C2×D79)⋊C4C2211yescharacteristic
56C22×(C2×D79)⋊C4C2211yescharacteristic
57C2×C22⋊C4×D79C2211yescharacteristic
58C2×C22⋊C4×D79C2211yescharacteristic
59#19098469C2211yescharacteristic, complemented
60#19098468C2211yescharacteristic, complemented
61#19098467C2211yescharacteristic, complemented
62#19098467C2211yescharacteristic, complemented
63#19098465C2211yescharacteristic
64#19098464C2211yescharacteristic
65#19098463C2211yescharacteristic
66#19098463C2211yescharacteristic
67#19098462C2211yescharacteristic, complemented
68#19098462C2211yescharacteristic, complemented
69#19098460C2211yescharacteristic, complemented
70#19098460C2211yescharacteristic, complemented
71#19098458C2211yescharacteristic, complemented
72#19098458C2211yescharacteristic, complemented
73#19098456C2211yescharacteristic, complemented
74#19098456C2211yescharacteristic, complemented
75#19098455C2211yescharacteristic
76#19098455C2211yescharacteristic
77#19098455C2211yescharacteristic, complemented
78#19098455C2211yescharacteristic, complemented
79#19098454C2211yescharacteristic
80#19098454C2211yescharacteristic
81#19098453C2211yescharacteristic
82#19098453C2211yescharacteristic
83#19098453C2211yescharacteristic, complemented
84#19098453C2211yescharacteristic, complemented
85#19098452C2211yescharacteristic
86#19098452C2211yescharacteristic
87#19098450C2211yescharacteristic, complemented
88#19098450C2211yescharacteristic, complemented
89#19098450C2211yescharacteristic, complemented
90#19098450C2211yescharacteristic, complemented
91#19098449C2211yescharacteristic, complemented
92#19098449C2211yescharacteristic, complemented
93#19098447C2211yescharacteristic, complemented
94#19098447C2211yescharacteristic, complemented
95#19098445C2211yescharacteristic, complemented
96#19098445C2211yescharacteristic, complemented
97#19098444C2211yescharacteristic, complemented
98#19098444C2211yescharacteristic, complemented
99#19098444C2211yescharacteristic, complemented
100#19098444C2211yescharacteristic, complemented
101#19098443C2211yescharacteristic
102#19098442C2211yescharacteristic
103#19098442C2211yescharacteristic
104#19098442C2211yescharacteristic, complemented
105#19098441C2211yescharacteristic
106#19098441C2211yescharacteristic
107#19098441C2211yescharacteristic
108#19098441C2211yescharacteristic
109#19098440C2211yescharacteristic
110#19098440C2211yescharacteristic
111#19098440C2211yescharacteristic, complemented
112#19098439C2211yescharacteristic
113#19098439C2211yescharacteristic
114#19098439C2211yescharacteristic, complemented
115#19098439C2211yescharacteristic, complemented
116#19098438C2211yescharacteristic
117#19098438C2211yescharacteristic, complemented
118#19098438C2211yescharacteristic, complemented
119#19098437C2211yescharacteristic
120#19098437C2211yescharacteristic
121#19098437C2211yescharacteristic, complemented
122#19098437C2211yescharacteristic, complemented
123#19098436C2211yescharacteristic
124#19098435C2211yescharacteristic
125#19098434C2211yescharacteristic
126#19098434C2211yescharacteristic
127#19098434C2211yescharacteristic, complemented
128#19098434C2211yescharacteristic, complemented
129#19098430C2211yescharacteristic, complemented
130#19098430C2211yescharacteristic, complemented
131#19098428C2211yescharacteristic, complemented
132#19098427C2211yescharacteristic, complemented
133#19098426C2211yescharacteristic
134#19098425C2211yescharacteristic
135#19098425C2211yescharacteristic
136#19098425C2211yescharacteristic
137#19098425C2211yescharacteristic
138#19098425C2211yescharacteristic, complemented
139#19098424C2211yescharacteristic
140#19098424C2211yescharacteristic
141#19098424C2211yescharacteristic, complemented
142#19098421C2211yescharacteristic, complemented
143#19098420C2211yescharacteristic
144#19098420C2211yescharacteristic
145#19098420C2211yescharacteristic
146#19098420C2211yescharacteristic
147#19098420C2211yescharacteristic
148#19098420C2211yescharacteristic
149#19098420C2211yescharacteristic
150#19098420C2211yescharacteristic
151#19098420C2211yescharacteristic, complemented
152C4⋊C4×Dic79C2211yescharacteristic, complemented
153C4×Dic79⋊C4C2211yescharacteristic, complemented
154C22⋊C4×Dic79C2211yescharacteristic
155C22⋊C4×Dic79C2211yescharacteristic
156C22⋊C4×Dic79C2211yescharacteristic, complemented
157C4×(C2×D79)⋊C4C2211yescharacteristic
158C4×(C2×D79)⋊C4C2211yescharacteristic
159C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
160C4×C22⋊Dic79C2211yescharacteristic
161#19098410C2211yescharacteristic
162#19098410C2211yescharacteristic
163#19098409C2211yescharacteristic, complemented
164#19098408C2211yescharacteristic, complemented
165C2×C79⋊#95C2211yescharacteristic
166C2×C79⋊#95C2211yescharacteristic
167C2×C79⋊#95C2211yescharacteristic, complemented
168#95×D79C2211yescharacteristic
169#95×D79C2211yescharacteristic
170#95×D79C2211yescharacteristic
171#95×D79C2211yescharacteristic
172#95×D79C2211yescharacteristic, complemented
173C2×#123×C79C2211yescharacteristic
174C2×C4×D4×C79C2211yescharacteristic
175C22×C4⋊C4×C79C2211yescharacteristic
176#389×C79C2211yescharacteristic, complemented
177#389×C79C2211yescharacteristic, complemented
178#388×C79C2211yescharacteristic, complemented
179#388×C79C2211yescharacteristic, complemented
180#387×C79C2211yescharacteristic, complemented
181#387×C79C2211yescharacteristic, complemented
182#386×C79C2211yescharacteristic
183#385×C79C2211yescharacteristic
184#385×C79C2211yescharacteristic, complemented
185#385×C79C2211yescharacteristic, complemented
186#381×C79C2211yescharacteristic
187C4×C22⋊C4×C79C2211yescharacteristic
188C24×D79C2311yescharacteristic
189C2×#11929623—42no—
190C2×#11929623—42no—
191C2×#11929623C2×C418yescomplemented
192C22×Dic158C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C23×Dic79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C22×C4×D79—42no—
205C22×C4×D79—42no—
206C22×C4×D79C2×C418yescomplemented
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218#14579144C2×C418yescomplemented
219#14579139C2×C418yescomplemented
220#14579139C2×C418yescomplemented
221#14579134C2×C418yescomplemented
222#14579134C2×C418yescomplemented
223#14579131C2×C418yescomplemented
224#14579129C2×C418yescomplemented
225C4×D316—42no—
226D4×Dic79—42no—
227#14579123—42no—
228#14579123C2×C418yescomplemented
229#14579123C2×C418yescomplemented
230C4×C22⋊D79—42no—
231C4×C22⋊D79—42no—
232(C22⋊D79)⋊C4—42no—
233(C22⋊D79)⋊C4—42no—
234(C22⋊D79)⋊C4C2×C418yescomplemented
235(C22⋊D79)⋊C4C2×C418yescomplemented
236#14579117C2×C418yescomplemented
237C2×C4⋊Dic79—42no—
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
240C2×C4⋊Dic79C2311yescharacteristic
241C2×C4⋊Dic79C2311yescharacteristic
242C2×C4⋊Dic79C2311yescharacteristic
243C2×C4⋊Dic79C2311yescharacteristic
244C2×C4⋊Dic79C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×Dic79⋊C4C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×(C2×D79)⋊C4—42no—
262C2×(C2×D79)⋊C4—42no—
263C2×(C2×D79)⋊C4C2311yescharacteristic
264C2×(C2×D79)⋊C4C2311yescharacteristic
265C2×(C2×D79)⋊C4C2311yescharacteristic
266C2×(C2×D79)⋊C4C2311yescharacteristic
267C2×(C2×D79)⋊C4C2311yescharacteristic
268C2×(C2×D79)⋊C4C2311yescharacteristic
269C2×(C2×D79)⋊C4C2311yescharacteristic
270C2×(C2×D79)⋊C4C2311yescharacteristic
271C2×(C2×D79)⋊C4C2311yescharacteristic
272C2×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C22⋊C4×D79—42no—
288C22⋊C4×D79—42no—
289C2×C4×Dic79C2311yescharacteristic
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C2×C4×Dic79C2311yescharacteristic
293C2×C4×Dic79C2311yescharacteristic
294C2×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C2×C4×Dic79C2311yescharacteristic
297C2×C4×Dic79C2311yescharacteristic
298C2×C4×Dic79C2311yescharacteristic
299C2×C4×Dic79C2311yescharacteristic
300C79⋊#95C2311yescharacteristic
301C79⋊#95C2311yescharacteristic
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C22×D4×C79C2311yescharacteristic
339C23×C4×C79C2311yescharacteristic
340C23×C4×C79C2311yescharacteristic
341C23×C4×C79C2311yescharacteristic
342C23×C4×C79C2311yescharacteristic
343#123×C79C2×C418yescomplemented
344C4×D4×C79—42no—
345C2×C4⋊C4×C79—42no—
346C2×C4⋊C4×C79C2311yescharacteristic
347C2×C4⋊C4×C79C2311yescharacteristic
348C2×C4⋊C4×C79C2311yescharacteristic
349C2×C4⋊C4×C79C2311yescharacteristic
350C2×C4⋊C4×C79C2311yescharacteristic
351C2×C4⋊C4×C79C2311yescharacteristic
352C2×C4⋊C4×C79C2311yescharacteristic
353C2×C4⋊C4×C79C2311yescharacteristic
354C2×C4⋊C4×C79C2311yescharacteristic
355C2×C22⋊C4×C79C2311yescharacteristic
356C2×C22⋊C4×C79C2311yescharacteristic
357C2×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C22⋊C4×C79C2311yescharacteristic
361C2×C22⋊C4×C79C2311yescharacteristic
362C2×C22⋊C4×C79C2311yescharacteristic
363C2×C42×C79C2311yescharacteristic
364C2×C42×C79C2311yescharacteristic
365C2×C42×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369#95×C79C2311yescharacteristic
370#95×C79C2311yescharacteristic
371#95×C79C2311yescharacteristic
372#95×C79C2311yescharacteristic
373#95×C79C2311yescharacteristic
374#95×C79C2311yescharacteristic
375#95×C79C2311yescharacteristic
376C23×D79—22no—
377C23×D79—22no—
378C23×D79—22no—
379C23×D79—22no—
380C23×D79—41no—
381C23×D79—41no—
382C23×D79C22×C414yes—
383C23×D79C2411yescharacteristic
384C23×D79C2411yescharacteristic
385C23×D79C2411yescharacteristic
386#11929623—416no—
387C2×Dic158—41no—
388C2×Dic158—41no—
389C2×Dic158C22×C414yes—
390C2×D316—22no—
391C2×D316—22no—
392C2×D316—41no—
393C2×D316—41no—
394C2×D316C22×C414yes—
395C2×D316C22×C414yes—
396C2×C22⋊D79—22no—
397C2×C22⋊D79—22no—
398C2×C22⋊D79—22no—
399C2×C22⋊D79—22no—
400C2×C22⋊D79—41no—
401C2×C22⋊D79—41no—
402C2×C22⋊D79—41no—
403C2×C22⋊D79—41no—
404C2×C22⋊D79C22×C414yes—
405C2×C22⋊D79C22×C414yes—
406C2×C22⋊D79C22×C414yes—
407C2×C22⋊D79C22×C414yes—
408C22×Dic79—22no—
409C22×Dic79—22no—
410C22×Dic79—22no—
411C22×Dic79—22no—
412C22×Dic79—41no—
413C22×Dic79—41no—
414C22×Dic79—41no—
415C22×Dic79—41no—
416C22×Dic79—41no—
417C22×Dic79—41no—
418C22×Dic79—41no—
419C22×Dic79—41no—
420C22×Dic79—41no—
421C22×Dic79C22×C414yes—
422C22×Dic79C22×C414yes—
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C2×C4×D79—22no—
437C2×C4×D79—22no—
438C2×C4×D79—22no—
439C2×C4×D79—22no—
440C2×C4×D79—41no—
441C2×C4×D79—41no—
442C2×C4×D79—416no—
443C2×C4×D79—41no—
444C2×C4×D79—41no—
445C2×C4×D79—41no—
446C2×C4×D79—41no—
447C2×C4×D79—41no—
448C2×C4×D79—41no—
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×D79—41no—
462C2×C4×D79—41no—
463C2×C4×D79—41no—
464C2×C4×D79—41no—
465C2×C4×D79C22×C414yes—
466C2×C4×D79C22×C414yes—
467C2×C4×D79C22×C414yes—
468C2×C4×D79C22×C414yes—
469C2×C4×D79C22×C414yes—
470C4⋊Dic79—41no—
471C4⋊Dic79—41no—
472C4⋊Dic79—41no—
473C4⋊Dic79—41no—
474C4⋊Dic79—41no—
475C4⋊Dic79—41no—
476C4⋊Dic79—41no—
477Dic79⋊C4—41no—
478Dic79⋊C4—41no—
479Dic79⋊C4—41no—
480Dic79⋊C4—41no—
481Dic79⋊C4—41no—
482Dic79⋊C4—41no—
483Dic79⋊C4C22×C414yes—
484Dic79⋊C4C22×C414yes—
485Dic79⋊C4C22×C414yes—
486Dic79⋊C4C22×C414yes—
487C22⋊Dic79—22no—
488C22⋊Dic79—22no—
489C22⋊Dic79—41no—
490C22⋊Dic79—41no—
491C22⋊Dic79—41no—
492C22⋊Dic79C22×C414yes—
493(C2×D79)⋊C4—22no—
494(C2×D79)⋊C4—22no—
495(C2×D79)⋊C4—22no—
496(C2×D79)⋊C4—22no—
497(C2×D79)⋊C4—41no—
498(C2×D79)⋊C4—41no—
499(C2×D79)⋊C4—41no—
500(C2×D79)⋊C4—41no—
501(C2×D79)⋊C4—41no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4—41no—
504(C2×D79)⋊C4—41no—
505(C2×D79)⋊C4—41no—
506(C2×D79)⋊C4—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509(C2×D79)⋊C4—41no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4C22×C414yes—
512(C2×D79)⋊C4C22×C414yes—
513(C2×D79)⋊C4C22×C414yes—
514(C2×D79)⋊C4C22×C414yes—
515(C2×D79)⋊C4C22×C414yes—
516(C2×D79)⋊C4C22×C414yes—
517C4×Dic79—41no—
518C4×Dic79—41no—
519C4×Dic79—41no—
520C4×Dic79—41no—
521C4×Dic79—41no—
522C4×Dic79—41no—
523C4×Dic79—41no—
524C4×Dic79—41no—
525C4×Dic79—41no—
526C4×Dic79C22×C414yes—
527C4×Dic79C22×C414yes—
528C24×C79C2411yescharacteristic
529C24×C79C2411yescharacteristic
530C2×D4×C79—22no—
531C2×D4×C79—22no—
532C2×D4×C79C22×C414yes—
533C22×C4×C79—22no—
534C22×C4×C79—22no—
535C22×C4×C79—22no—
536C22×C4×C79—22no—
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×C79C22×C414yes—
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
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C4⋊C4×C79—41no—
559C4⋊C4×C79—41no—
560C4⋊C4×C79—41no—
561C4⋊C4×C79—41no—
562C4⋊C4×C79—41no—
563C4⋊C4×C79—41no—
564C4⋊C4×C79—41no—
565C4⋊C4×C79C22×C414yes—
566C4⋊C4×C79C22×C414yes—
567C22⋊C4×C79—22no—
568C22⋊C4×C79—22no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C22⋊C4×C79—41no—
572C22⋊C4×C79C22×C414yes—
573C22⋊C4×C79C22×C414yes—
574C22⋊C4×C79C22×C414yes—
575C42×C79—41no—
576C42×C79—41no—
577C42×C79—41no—
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×C79C23×C412yes—
589C23×C79C23×C412yes—
590C23×C79H(5,𝔽2)12yes—
591C23×C79H(5,𝔽2)12yes—
592C23×C79C2511yescharacteristic
593C22×D79—21no—
594C22×D79—21no—
595C22×D79—21no—
596C22×D79—21no—
597C22×D79—28no—
598C22×D79—21no—
599C22×D79—21no—
600C22×D79—21no—
601C22×D79—21no—
602C22×D79—21no—
603C22×D79—21no—
604C22×D79—21no—
605C22×D79—21no—
606C22×D79—21no—
607C22×D79—21no—
608C22×D79—21no—
609C22×D79—21no—
610C22×D79—28no—
611C22×D79—44no—
612C22×D79—44no—
613C22×D79—44no—
614C22×D79—44no—
615C22×D79—44no—
616C22×D79C23×C412yes—
617C22×D79C23×C412yes—
618C22×D79C23×C412yes—
619C22×D79H(5,𝔽2)12yes—
620C22×D792−1+412yes—
621D4×C79—28no—
622C2×C4×C79—28no—
623C2×C4×C79—21no—
624C2×C4×C79—21no—
625C2×C4×C79—21no—
626C2×C4×C79—21no—
627C2×C4×C79—21no—
628C2×C4×C79—21no—
629C2×C4×C79—21no—
630C2×C4×C79—21no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—82no—
658C2×C4×C79—82no—
659C2×C4×C79—82no—
660C2×C4×C79C23×C412yes—
661C2×C4×C79C23×C412yes—
662C2×C4×C79C23×C412yes—
663C2×C4×C79C23×C412yes—
664C2×C4×C79C23×C412yes—
665C22⋊D79—28no—
666C22⋊D79—28no—
667C22⋊D79—44no—
668C22⋊D79—44no—
669C2×Dic79—28no—
670C2×Dic79—21no—
671C2×Dic79—21no—
672C2×Dic79—21no—
673C2×Dic79—21no—
674C2×Dic79—21no—
675C2×Dic79—21no—
676C2×Dic79—21no—
677C2×Dic79—21no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—44no—
705C2×Dic79—82no—
706C2×Dic79—82no—
707C2×Dic79—82no—
708C2×Dic79C23×C412yes—
709C2×Dic79C23×C412yes—
710C2×Dic79C23×C412yes—
711C2×Dic79C23×C412yes—
712C2×Dic79C23×C412yes—
713D316—28no—
714D316—44no—
715C4×D79—44no—
716C4×D79—44no—
717C4×D79—44no—
718C4×D79—44no—
719C4×D79—44no—
720C4×D79—82no—
721C4×D79—82no—
722C4×D79—82no—
723C4×D79—82no—
724C4×D79—82no—
725C4×D79—82no—
726Dic158—44no—
727C22×C79—22no—
728C22×C79—22no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—22no—
732C22×C79—22no—
733C22×C79—22no—
734C22×C79—22no—
735C22×C79—22no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79#51814yes—
741C22×C79C24×C411yescharacteristic
742C22×C79C2×H(5,𝔽2)11yescharacteristic
743C22×C79C2×H(5,𝔽2)11yescharacteristic
744C22×C79C2×H(5,𝔽2)11yescharacteristic
745C22×C79C2×2−1+411yescharacteristic
746C22×C79#58511yescharacteristic
747C22×C79#58511yescharacteristic
748C2×D79—22no—
749C2×D79—22no—
750C2×D79—22no—
751C2×D79—22no—
752C2×D79—22no—
753C2×D79—22no—
754C2×D79—22no—
755C2×D79—22no—
756C2×D79—22no—
757C2×D79—22no—
758C2×D79—22no—
759C2×D79—22no—
760C2×D79—416no—
761C2×D79—41no—
762C2×D79—41no—
763C2×D79—41no—
764C2×D79—41no—
765C2×D79—41no—
766C2×D79—41no—
767C2×D79—41no—
768C2×D79—41no—
769C2×D79#52014yes—
770C4×C79—22no—
771C4×C79—22no—
772C4×C79—22no—
773C4×C79—22no—
774C4×C79—22no—
775C4×C79—41no—
776C4×C79—41no—
777C4×C79—41no—
778C4×C79—41no—
779C4×C79—41no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783Dic79—22no—
784Dic79—22no—
785Dic79—22no—
786Dic79—22no—
787Dic79—22no—
788Dic79—41no—
789Dic79—41no—
790Dic79—41no—
791Dic79—41no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796#34386—791nomaximal, Sylow
797C2×C79—24no—
798C2×C79—42no—
799C2×C79C2×#51811yescharacteristic
800C2×C79C2×#52011yescharacteristic
801C2×C79#342811yescharacteristic
802C2×C79#353411yescharacteristic
803C2×C79#353411yescharacteristic
804C2×C79#353511yescharacteristic
805C2×C79#353511yescharacteristic
806D79—24no—
807D79—42no—
808D79—42no—
809C2×#525—791no—
810#2378—791no—
811#2378—791no—
812#2377—791no—
813#2377—791no—
814#2358—791no—
815#2358—791no—
816#2358—791no—
817#2358—791no—
818#2353—791no—
819#2353—791no—
820#2349—791no—
821#2349—791no—
822#2343—791no—
823#2343—791no—
824#2339—791no—
825#2339—791no—
826#2329—791no—
827#2329—791no—
828#2325—791no—
829#2325—791no—
830#2322—791no—
831#2322—791no—
832#2322—791no—
833#2322D7911yescharacteristic, complemented
834#2319—791no—
835#2319—791no—
836#2318—791no—
837#2318—791no—
838C2×#381—791no—
839C2×#380—791no—
840C79#3438611yescharacteristic, complemented, Sylow
841C22×#41—791no—
842C24×C4—791no—
843#525—7916no—
844C2×#123—791no—
845C2×#123C2×D7911yescharacteristic
846C2×C22⋊Q8—791no—
847C2×C22⋊Q8—791no—
848C2×#121—791no—
849C2×#121—791no—
850C2×#120—791no—
851C2×#120—791no—
852C2×C4×D4—791no—
853C2×C4×D4—791no—
854C2×C4×D4—791no—
855C2×C4×D4—791no—
856C2×C4×D4—791no—
857C2×C4×D4—791no—
858C2×C4×D4—791no—
859C2×C4×D4—791no—
860C2×C4×D4—791no—
861C2×C4×D4—791no—
862C2×C4×D4—791no—
863C2×C4×D4C2×D7911yescharacteristic
864C2×#117—791no—
865C22×C4⋊C4—791no—
866C22×C4⋊C4C2×D7911yescharacteristic
867C22×C22⋊C4—791no—
868C22×C22⋊C4—791no—
869C22×C22⋊C4—791no—
870C22×C22⋊C4—791no—
871#391—791no—
872#391—791no—
873#391—791no—
874#391—791no—
875#390—791no—
876#390—791no—
877#390—791no—
878#390—791no—
879#389—791no—
880#389—791no—
881#389—791no—
882#389—791no—
883#389—791no—
884#389—791no—
885#389C2×D7911yescharacteristic, complemented
886#389C2×D7911yescharacteristic, complemented
887#388—791no—
888#388—791no—
889#388—791no—
890#388—791no—
891#388—791no—
892#388—791no—
893#388—791no—
894#388—791no—
895#388—791no—
896#388—791no—
897#388—791no—
898#388—791no—
899#388—791no—
900#388—791no—
901#388C2×D7911yescharacteristic, complemented
902#388C2×D7911yescharacteristic, complemented
903#387—791no—
904#387—791no—
905#387—791no—
906#387—791no—
907#387—791no—
908#387—791no—
909#387—791no—
910#387—791no—
911#387—791no—
912#387—791no—
913#387—791no—
914#387—791no—
915#387—791no—
916#387—791no—
917#387C2×D7911yescharacteristic, complemented
918#387C2×D7911yescharacteristic, complemented
919#386—791no—
920#386—791no—
921#386—791no—
922#386—791no—
923#386—791no—
924#386—791no—
925#386—791no—
926#386—791no—
927#386—791no—
928#386—791no—
929#386—791no—
930#386—791no—
931#386—791no—
932#386—791no—
933#386—791no—
934#386C2×D7911yescharacteristic
935#385—791no—
936#385—791no—
937#385—791no—
938#385—791no—
939#385—791no—
940#385—791no—
941#385—791no—
942#385—791no—
943#385—791no—
944#385—791no—
945#385—791no—
946#385—791no—
947#385—791no—
948#385C2×D7911yescharacteristic
949#385C2×D7911yescharacteristic, complemented
950#385C2×D7911yescharacteristic, complemented
951#383—791no—
952#383—791no—
953#382—791no—
954#382—791no—
955#381—791no—
956#381—791no—
957#381—791no—
958#381—791no—
959#381—791no—
960#381—791no—
961#381—791no—
962#381—791no—
963#381—791no—
964#381C2×D7911yescharacteristic
965#380—791no—
966#380—791no—
967#380—791no—
968#380—791no—
969#380—791no—
970#380—791no—
971#380—791no—
972#380—791no—
973#380—791no—
974#380—791no—
975C4×C4⋊C4—791no—
976C4×C4⋊C4—791no—
977C4×C22⋊C4—791no—
978C4×C22⋊C4—791no—
979C4×C22⋊C4—791no—
980C4×C22⋊C4—791no—
981C4×C22⋊C4—791no—
982C4×C22⋊C4—791no—
983C4×C22⋊C4—791no—
984C4×C22⋊C4—791no—
985C4×C22⋊C4—791no—
986C4×C22⋊C4C2×D7911yescharacteristic
987#376—791no—
988#376—791no—
989C2×#95—791no—
990C2×#95—791no—
991C2×#95—791no—
992C2×#95—791no—
993C2×#95—791no—
994C2×#95—791no—
995C2×#95—791no—
996C2×#95—791no—
997C25—791no—
998C2×#41—3162no—
999C2×#41—3162no—
1000C2×#41—798no—
1001C22×Q8—791no—
1002C22×D4—791no—
1003C22×D4—791no—
1004C22×D4—791no—
1005C22×D4—791no—
1006C22×D4—791no—
1007C22×D4—791no—
1008C22×D4C22×D7911yescharacteristic
1009C23×C4—3162no—
1010C23×C4—3162no—
1011C23×C4—791no—
1012C23×C4—791no—
1013C23×C4—791no—
1014C23×C4—791no—
1015C23×C4—798no—
1016C23×C4—791no—
1017C23×C4—791no—
1018C23×C4—791no—
1019C23×C4—791no—
1020C23×C4—791no—
1021C23×C4—791no—
1022C23×C4—791no—
1023C23×C4—791no—
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4—791no—
1027C23×C4—791no—
1028C23×C4C22×D7911yescharacteristic
1029C23×C4C22×D7911yescharacteristic
1030C23×C4C22×D7911yescharacteristic
1031C23×C4C22×D7911yescharacteristic
1032#123—798no—
1033#123C4×D7918yescomplemented
1034C22⋊Q8—798no—
1035C22⋊Q8—798no—
1036#121—798no—
1037#121—798no—
1038#120—798no—
1039#120—798no—
1040C4×D4—42no—
1041C4×D4—3162no—
1042C4×D4—3162no—
1043C4×D4—3162no—
1044C4×D4—3162no—
1045C4×D4—3162no—
1046C4×D4—3162no—
1047C4×D4—3162no—
1048C4×D4—798no—
1049C4×D4—798no—
1050C4×D4—798no—
1051C4×D4—798no—
1052#117—798no—
1053C2×C4⋊C4—42no—
1054C2×C4⋊C4—3162no—
1055C2×C4⋊C4—791no—
1056C2×C4⋊C4—791no—
1057C2×C4⋊C4—791no—
1058C2×C4⋊C4—791no—
1059C2×C4⋊C4—791no—
1060C2×C4⋊C4—791no—
1061C2×C4⋊C4—791no—
1062C2×C4⋊C4—791no—
1063C2×C4⋊C4—791no—
1064C2×C4⋊C4—791no—
1065C2×C4⋊C4—791no—
1066C2×C4⋊C4—791no—
1067C2×C4⋊C4—791no—
1068C2×C4⋊C4—791no—
1069C2×C4⋊C4—791no—
1070C2×C4⋊C4—791no—
1071C2×C4⋊C4—791no—
1072C2×C4⋊C4C22×D7911yescharacteristic
1073C2×C4⋊C4C22×D7911yescharacteristic
1074C2×C4⋊C4C22×D7911yescharacteristic
1075C2×C4⋊C4C22×D7911yescharacteristic
1076C2×C4⋊C4C22×D7911yescharacteristic
1077C2×C4⋊C4C22×D7911yescharacteristic
1078C2×C4⋊C4C22×D7911yescharacteristic
1079C2×C4⋊C4C22×D7911yescharacteristic
1080C2×C4⋊C4C22×D7911yescharacteristic
1081C2×C22⋊C4—3162no—
1082C2×C22⋊C4—3162no—
1083C2×C22⋊C4—3162no—
1084C2×C22⋊C4—3162no—
1085C2×C22⋊C4—791no—
1086C2×C22⋊C4—791no—
1087C2×C22⋊C4—791no—
1088C2×C22⋊C4—791no—
1089C2×C22⋊C4—791no—
1090C2×C22⋊C4—791no—
1091C2×C22⋊C4—791no—
1092C2×C22⋊C4—791no—
1093C2×C22⋊C4—791no—
1094C2×C22⋊C4—791no—
1095C2×C22⋊C4—791no—
1096C2×C22⋊C4—791no—
1097C2×C22⋊C4—791no—
1098C2×C22⋊C4—791no—
1099C2×C22⋊C4—791no—
1100C2×C22⋊C4—791no—
1101C2×C22⋊C4—791no—
1102C2×C22⋊C4—791no—
1103C2×C22⋊C4—791no—
1104C2×C22⋊C4—791no—
1105C2×C22⋊C4—791no—
1106C2×C22⋊C4—791no—
1107C2×C22⋊C4—791no—
1108C2×C22⋊C4—791no—
1109C2×C22⋊C4—791no—
1110C2×C22⋊C4—791no—
1111C2×C22⋊C4—791no—
1112C2×C22⋊C4—791no—
1113C2×C22⋊C4—791no—
1114C2×C22⋊C4—791no—
1115C2×C22⋊C4C22×D7911yescharacteristic
1116C2×C22⋊C4C22×D7911yescharacteristic
1117C2×C22⋊C4C22×D7911yescharacteristic
1118C2×C22⋊C4C22×D7911yescharacteristic
1119C2×C22⋊C4C22×D7911yescharacteristic
1120C2×C22⋊C4C22×D7911yescharacteristic
1121C2×C22⋊C4C22×D7911yescharacteristic
1122C2×C22⋊C4C22×D7911yescharacteristic
1123C2×C42—791no—
1124C2×C42—791no—
1125C2×C42—791no—
1126C2×C42—791no—
1127C2×C42—791no—
1128C2×C42—791no—
1129C2×C42—791no—
1130C2×C42—791no—
1131C2×C42—791no—
1132C2×C42—791no—
1133C2×C42—791no—
1134C2×C42C22×D7911yescharacteristic
1135C2×C42C22×D7911yescharacteristic
1136C2×C42C22×D7911yescharacteristic
1137#95—791no—
1138#95—791no—
1139#95—791no—
1140#95—791no—
1141#95—791no—
1142#95—791no—
1143#95—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#95C22×D7911yescharacteristic
1176#95C22×D7911yescharacteristic
1177#95C22×D7911yescharacteristic
1178#95C22×D7911yescharacteristic
1179#95C22×D7911yescharacteristic
1180#95C22×D7911yescharacteristic
1181#95C22×D7911yescharacteristic
1182#95C22×D7911yescharacteristic
1183#95C22×D7911yescharacteristic
1184#95C22×D7911yescharacteristic
1185C24—3161no—
1186C24—3161no—
1187C24—794no—
1188C24—791no—
1189C24—791no—
1190C24—791no—
1191C24—1582no—
1192C24—1582no—
1193C24—1582no—
1194C24—1582no—
1195C24C23×D7911yescharacteristic
1196C24C23×D7911yescharacteristic
1197#41—31616no—
1198C2×Q8—3161no—
1199C2×Q8—3161no—
1200C2×Q8—794no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—3161no—
1204C2×D4—3161no—
1205C2×D4—3161no—
1206C2×D4—3161no—
1207C2×D4—3161no—
1208C2×D4—3161no—
1209C2×D4—794no—
1210C2×D4—794no—
1211C2×D4—794no—
1212C2×D4—794no—
1213C2×D4—794no—
1214C2×D4—794no—
1215C2×D4—1582no—
1216C2×D4—1582no—
1217C2×D4—1582no—
1218C2×D4—1582no—
1219C2×D4—1582no—
1220C2×D4—1582no—
1221C2×D4C2×C4×D7914yes—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—3161no—
1234C22×C4—3161no—
1235C22×C4—3161no—
1236C22×C4—3161no—
1237C22×C4—3161no—
1238C22×C4—3161no—
1239C22×C4—3161no—
1240C22×C4—3161no—
1241C22×C4—31616no—
1242C22×C4—3161no—
1243C22×C4—3161no—
1244C22×C4—3161no—
1245C22×C4—3161no—
1246C22×C4—3161no—
1247C22×C4—3161no—
1248C22×C4—3161no—
1249C22×C4—3161no—
1250C22×C4—3161no—
1251C22×C4—3161no—
1252C22×C4—3161no—
1253C22×C4—3161no—
1254C22×C4—3161no—
1255C22×C4—3161no—
1256C22×C4—3161no—
1257C22×C4—3161no—
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—794no—
1268C22×C4—794no—
1269C22×C4—794no—
1270C22×C4—794no—
1271C22×C4—794no—
1272C22×C4—794no—
1273C22×C4—791no—
1274C22×C4—791no—
1275C22×C4—791no—
1276C22×C4—791no—
1277C22×C4—791no—
1278C22×C4—794no—
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—1582no—
1288C22×C4—1582no—
1289C22×C4—1582no—
1290C22×C4—1582no—
1291C22×C4—1582no—
1292C22×C4—1582no—
1293C22×C4—1582no—
1294C22×C4—1582no—
1295C22×C4C2×C4×D7914yes—
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
1307C22×C4C23×D7911yescharacteristic
1308C22×C4C23×D7911yescharacteristic
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
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—794no—
1330C4⋊C4—794no—
1331C4⋊C4—794no—
1332C4⋊C4—794no—
1333C4⋊C4C2×C4×D7914yes—
1334C4⋊C4C2×C4×D7914yes—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—3161no—
1341C22⋊C4—3161no—
1342C22⋊C4—3161no—
1343C22⋊C4—3161no—
1344C22⋊C4—3161no—
1345C22⋊C4—3161no—
1346C22⋊C4—3161no—
1347C22⋊C4—3161no—
1348C22⋊C4—3161no—
1349C22⋊C4—3161no—
1350C22⋊C4—3161no—
1351C22⋊C4—3161no—
1352C22⋊C4—3161no—
1353C22⋊C4—3161no—
1354C22⋊C4—3161no—
1355C22⋊C4—3161no—
1356C22⋊C4—3161no—
1357C22⋊C4—794no—
1358C22⋊C4—794no—
1359C22⋊C4—794no—
1360C22⋊C4—794no—
1361C22⋊C4—794no—
1362C22⋊C4—794no—
1363C22⋊C4—794no—
1364C22⋊C4—1582no—
1365C22⋊C4—1582no—
1366C22⋊C4—1582no—
1367C22⋊C4—1582no—
1368C22⋊C4—1582no—
1369C22⋊C4—1582no—
1370C22⋊C4C2×C4×D7914yes—
1371C22⋊C4C2×C4×D7914yes—
1372C22⋊C4C2×C4×D7914yes—
1373C42—41no—
1374C42—41no—
1375C42—41no—
1376C42—3161no—
1377C42—3161no—
1378C42—3161no—
1379C42—3161no—
1380C42—3161no—
1381C42—3161no—
1382C42—3161no—
1383C42—3161no—
1384C42—3161no—
1385C42—794no—
1386C42—794no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—3164no—
1398C23—3164no—
1399C23—3164no—
1400C23—3164no—
1401C23—3164no—
1402C23—792no—
1403C23—792no—
1404C23—792no—
1405C23—792no—
1406C23—792no—
1407C23—1588no—
1408C23—1581no—
1409C23—1581no—
1410C23—1581no—
1411C23—1581no—
1412C23—1581no—
1413C23—1581no—
1414C23—1581no—
1415C23—1581no—
1416C23—1581no—
1417C23—1581no—
1418C23—1581no—
1419C23—1581no—
1420C23—1588no—
1421C23—1581no—
1422C23—1581no—
1423C23—1581no—
1424C23—1581no—
1425C23C22×C4×D7912yes—
1426C23C22×C4×D7912yes—
1427C23#1457920612yes—
1428C23#1457920712yes—
1429C23C24×D7911yescharacteristic
1430Q8—3164no—
1431D4—28no—
1432D4—3164no—
1433D4—3164no—
1434D4—3164no—
1435D4—1588no—
1436D4—1588no—
1437D4—1588no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—28no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—82no—
1474C2×C4—82no—
1475C2×C4—82no—
1476C2×C4—3164no—
1477C2×C4—3164no—
1478C2×C4—3164no—
1479C2×C4—3164no—
1480C2×C4—3164no—
1481C2×C4—3164no—
1482C2×C4—792no—
1483C2×C4—792no—
1484C2×C4—792no—
1485C2×C4—792no—
1486C2×C4—792no—
1487C2×C4—6322no—
1488C2×C4—6322no—
1489C2×C4—6322no—
1490C2×C4—6322no—
1491C2×C4—6322no—
1492C2×C4—6322no—
1493C2×C4—6322no—
1494C2×C4—6322no—
1495C2×C4—6322no—
1496C2×C4—1581no—
1497C2×C4—1581no—
1498C2×C4—1581no—
1499C2×C4—1581no—
1500C2×C4—1581no—
1501C2×C4—1581no—
1502C2×C4—1581no—
1503C2×C4—1581no—
1504C2×C4—1581no—
1505C2×C4—1581no—
1506C2×C4—1581no—
1507C2×C4—1581no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1581no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4—1581no—
1514C2×C4—1581no—
1515C2×C4—1581no—
1516C2×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4—1581no—
1523C2×C4—1581no—
1524C2×C4—1581no—
1525C2×C4—1581no—
1526C2×C4—1581no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1588no—
1531C2×C4C22×C4×D7912yes—
1532C2×C4C22×C4×D7912yes—
1533C2×C4C22×C4×D7912yes—
1534C2×C4C22×C4×D7912yes—
1535C2×C4C22×C4×D7912yes—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—31616no—
1550C22—3161no—
1551C22—3161no—
1552C22—3161no—
1553C22—3161no—
1554C22—3161no—
1555C22—3161no—
1556C22—3161no—
1557C22—3161no—
1558C22—794no—
1559C22—1582no—
1560C22—1582no—
1561C22—1582no—
1562C22—1582no—
1563C22—1582no—
1564C22—1582no—
1565C22—1582no—
1566C22—1582no—
1567C22—1582no—
1568C22—1582no—
1569C22—1582no—
1570C22—1582no—
1571C22#1909903514yes—
1572C22C23×C4×D7911yescharacteristic
1573C22H(5,𝔽2)×D7911yescharacteristic
1574C22C2×#1457920611yescharacteristic
1575C22C2×#1457920711yescharacteristic
1576C222−1+4×D7911yescharacteristic
1577C22#1909939811yescharacteristic
1578C22#1909940011yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—3161no—
1593C4—3161no—
1594C4—3161no—
1595C4—3161no—
1596C4—3161no—
1597C4—3161no—
1598C4—3161no—
1599C4—3161no—
1600C4—1582no—
1601C4—1582no—
1602C4—1582no—
1603C4—1582no—
1604C4—1582no—
1605C2—24no—
1606C2—42no—
1607C2—3162no—
1608C2—3162no—
1609C2—1584no—
1610C2C2×#1909903511yescharacteristic
1611C2#520×D7911yescharacteristic
1612C2#2377660011yescharacteristic
1613C2#2377758011yescharacteristic
1614C2#2377758811yescharacteristic
1615C2#2377759911yescharacteristic
1616C2#2377760711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutatorC22×C79C24×C4
FittingC79×#2322C2
socle, cosocleC23×C79C25
prime radicalC2×#19099071C2
hypercenter#2322D79
hypocenterC79#34386
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2322

Complements

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

NH ≅ G/Ntype
2. #23766565C2semidirect
3. #23766562C2semidirect
4. #23766556C2semidirect
5. #23766553C2semidirect
6. #23766382C2semidirect
7. #23766380C2semidirect
8. #23766377C2semidirect
9. #23766376C2semidirect
10. #23766339C2semidirect
11. #23766335C2semidirect
12. #23766309C2semidirect
13. #23766306C2semidirect
14. #23766258C2semidirect
15. #23766254C2semidirect
16. #23766226C2semidirect
17. #23766225C2semidirect
18. #23766134C2semidirect
19. #23766127C2semidirect
20. #23766104C2semidirect
21. #23766097C2semidirect
22. #23766072C2semidirect
23. #23766069C2semidirect
24. #23766066C2semidirect
25. #23766041C2semidirect
26. #23766039C2semidirect
27. #23766032C2semidirect
28. #23766028C2semidirect
29. #381×D79C2semidirect
30. C2×#19098420C2semidirect
31. C79×#2322C2semidirect
34. #19099071C4semidirect
59. #19098469C22semidirect
60. #19098468C22semidirect
61. #19098467C22semidirect
62. #19098467C22semidirect
67. #19098462C22semidirect
68. #19098462C22semidirect
69. #19098460C22semidirect
70. #19098460C22semidirect
71. #19098458C22semidirect
72. #19098458C22semidirect
73. #19098456C22semidirect
74. #19098456C22semidirect
77. #19098455C22semidirect
78. #19098455C22semidirect
83. #19098453C22semidirect
84. #19098453C22semidirect
87. #19098450C22semidirect
88. #19098450C22semidirect
89. #19098450C22semidirect
90. #19098450C22semidirect
91. #19098449C22semidirect
92. #19098449C22semidirect
93. #19098447C22semidirect
94. #19098447C22semidirect
95. #19098445C22semidirect
96. #19098445C22semidirect
97. #19098444C22semidirect
98. #19098444C22semidirect
99. #19098444C22semidirect
100. #19098444C22semidirect
104. #19098442C22semidirect
111. #19098440C22semidirect
114. #19098439C22semidirect
115. #19098439C22semidirect
117. #19098438C22semidirect
118. #19098438C22semidirect
121. #19098437C22semidirect
122. #19098437C22semidirect
127. #19098434C22semidirect
128. #19098434C22semidirect
129. #19098430C22semidirect
130. #19098430C22semidirect
131. #19098428C22semidirect
132. #19098427C22semidirect
138. #19098425C22semidirect
141. #19098424C22semidirect
142. #19098421C22semidirect
151. #19098420C22semidirect
152. C4⋊C4×Dic79C22semidirect
153. C4×Dic79⋊C4C22semidirect
156. C22⋊C4×Dic79C22semidirect
159. C4×(C2×D79)⋊C4C22semidirect
163. #19098409C22semidirect
164. #19098408C22semidirect
167. C2×C79⋊#95C22semidirect
172. #95×D79C22semidirect
176. #389×C79C22semidirect
177. #389×C79C22semidirect
178. #388×C79C22semidirect
179. #388×C79C22semidirect
180. #387×C79C22semidirect
181. #387×C79C22semidirect
184. #385×C79C22semidirect
185. #385×C79C22semidirect
191. C2×#11929623C2×C4semidirect
206. C22×C4×D79C2×C4semidirect
218. #14579144C2×C4semidirect
219. #14579139C2×C4semidirect
220. #14579139C2×C4semidirect
221. #14579134C2×C4semidirect
222. #14579134C2×C4semidirect
223. #14579131C2×C4semidirect
224. #14579129C2×C4semidirect
228. #14579123C2×C4semidirect
229. #14579123C2×C4semidirect
234. (C22⋊D79)⋊C4C2×C4semidirect
235. (C22⋊D79)⋊C4C2×C4semidirect
236. #14579117C2×C4semidirect
343. #123×C79C2×C4semidirect
833. #2322D79semidirect
840. C79#34386semidirect
885. #389C2×D79semidirect
886. #389C2×D79semidirect
901. #388C2×D79semidirect
902. #388C2×D79semidirect
917. #387C2×D79semidirect
918. #387C2×D79semidirect
949. #385C2×D79semidirect
950. #385C2×D79semidirect
1033. #123C4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190990712
#237665652
#237665622
#237665562
#237665532
#237663822
#237663802
#237663772
#237663762
#237663392
#237663352
#237663092
#237663062
#237662582
#237662542
#237662262
#237662252
#237661342
#237661272
#237661042
#237660972
#237660722
#237660692
#237660662
#237660412
#237660392
#237660322
#237660282
#381×D792
C2×#190984202
C79×#23222
#3438679