Finite Group Databasebeta

← #34447373

Subgroups — #34447373

Order 20224.

2518 conjugacy classes of subgroups.

The subgroup lattice has 1592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099165C211yesmaximal, characteristic
2#23766197C211yesmaximal, characteristic, complemented
3#23766195C211yesmaximal, characteristic, complemented
4#23766184C211yesmaximal, characteristic, complemented
5#23766165C211yesmaximal, characteristic, complemented
6#23766164C211yesmaximal, characteristic, complemented
7#23766160C211yesmaximal, characteristic, complemented
8#23766159C211yesmaximal, characteristic, complemented
9#23766138C211yesmaximal, characteristic, complemented
10#23766121C211yesmaximal, characteristic, complemented
11#23766092C211yesmaximal, characteristic, complemented
12#23766088C211yesmaximal, characteristic, complemented
13#23766042C211yesmaximal, characteristic, complemented
14#23766041C211yesmaximal, characteristic, complemented
15#23766006C211yesmaximal, characteristic, complemented
16#23765964C211yesmaximal, characteristic, complemented
17#23765957C211yesmaximal, characteristic, complemented
18#23765927C211yesmaximal, characteristic, complemented
19#123×Dic79C211yesmaximal, characteristic, complemented
20#23765921C211yesmaximal, characteristic, complemented
21#23765919C211yesmaximal, characteristic, complemented
22#23765912C211yesmaximal, characteristic, complemented
23#23765912C211yesmaximal, characteristic, complemented
24#23765912C211yesmaximal, characteristic, complemented
25#23765910C211yesmaximal, characteristic, complemented
26#23765908C211yesmaximal, characteristic, complemented
27#23765906C211yesmaximal, characteristic, complemented
28C4×(C22⋊D79)⋊C4C211yesmaximal, characteristic, complemented
29C4×(C22⋊D79)⋊C4C211yesmaximal, characteristic, complemented
30C4×#14579119C211yesmaximal, characteristic, complemented
31C79×#2335C211yesmaximal, characteristic, complemented
32#19099165C4116yescomplemented
33C2×#14579157C2211yescharacteristic
34C2×#14579151C2211yescharacteristic
35C2×#14579146C2211yescharacteristic
36C2×#14579145C2211yescharacteristic
37C2×#14579143C2211yescharacteristic
38C2×#14579136C2211yescharacteristic
39C2×#14579135C2211yescharacteristic
40C2×#14579134C2211yescharacteristic
41C2×#14579134C2211yescharacteristic
42C2×#14579134C2211yescharacteristic
43C2×#14579133C2211yescharacteristic
44C2×D4×Dic79C2211yescharacteristic
45C2×#14579123C2211yescharacteristic
46C2×#14579123C2211yescharacteristic
47C2×#14579123C2211yescharacteristic
48C2×C4×C22⋊D79C2211yescharacteristic
49C2×C4×C22⋊D79C2211yescharacteristic
50C2×(C22⋊D79)⋊C4C2211yescharacteristic
51C2×(C22⋊D79)⋊C4C2211yescharacteristic
52C2×(C22⋊D79)⋊C4C2211yescharacteristic
53C2×(C22⋊D79)⋊C4C2211yescharacteristic
54C2×(C22⋊D79)⋊C4C2211yescharacteristic
55C2×(C22⋊D79)⋊C4C2211yescharacteristic
56C2×(C22⋊D79)⋊C4C2211yescharacteristic
57C2×(C22⋊D79)⋊C4C2211yescharacteristic
58C2×#14579119C2211yescharacteristic
59C2×#14579119C2211yescharacteristic
60C22×C4×Dic79C2211yescharacteristic
61C22×C4×Dic79C2211yescharacteristic
62C2×C42×D79C2211yescharacteristic
63C2×C42×D79C2211yescharacteristic
64C2×C42×D79C2211yescharacteristic
65#19098465C2211yescharacteristic
66#19098465C2211yescharacteristic
67#19098464C2211yescharacteristic
68#19098463C2211yescharacteristic
69#19098463C2211yescharacteristic
70#19098463C2211yescharacteristic
71#19098463C2211yescharacteristic
72#19098463C2211yescharacteristic
73#19098463C2211yescharacteristic
74#19098463C2211yescharacteristic
75#19098463C2211yescharacteristic
76#19098460C2211yescharacteristic
77#19098460C2211yescharacteristic
78#19098459C2211yescharacteristic
79#19098458C2211yescharacteristic
80#19098458C2211yescharacteristic
81#19098458C2211yescharacteristic
82#19098458C2211yescharacteristic
83#19098456C2211yescharacteristic
84#19098456C2211yescharacteristic
85#19098455C2211yescharacteristic
86#19098455C2211yescharacteristic
87#19098454C2211yescharacteristic
88#19098454C2211yescharacteristic
89#19098454C2211yescharacteristic
90#19098454C2211yescharacteristic
91#19098453C2211yescharacteristic
92#19098453C2211yescharacteristic
93#19098453C2211yescharacteristic
94#19098453C2211yescharacteristic
95#19098452C2211yescharacteristic
96#19098452C2211yescharacteristic
97#19098451C2211yescharacteristic
98#19098451C2211yescharacteristic
99#19098450C2211yescharacteristic
100#19098449C2211yescharacteristic
101#19098449C2211yescharacteristic
102#19098448C2211yescharacteristic
103#19098447C2211yescharacteristic
104#19098447C2211yescharacteristic
105#19098446C2211yescharacteristic
106#19098446C2211yescharacteristic
107#19098446C2211yescharacteristic
108#19098444C2211yescharacteristic
109#19098443C2211yescharacteristic
110#19098442C2211yescharacteristic
111#19098442C2211yescharacteristic
112#19098441C2211yescharacteristic
113#19098441C2211yescharacteristic
114#19098441C2211yescharacteristic
115#19098441C2211yescharacteristic
116#19098441C2211yescharacteristic
117#19098441C2211yescharacteristic
118#19098440C2211yescharacteristic
119#19098440C2211yescharacteristic
120#19098439C2211yescharacteristic
121#19098439C2211yescharacteristic
122#19098439C2211yescharacteristic
123#19098439C2211yescharacteristic
124#19098438C2211yescharacteristic
125#19098437C2211yescharacteristic
126#19098434C2211yescharacteristic
127#19098432C2211yescharacteristic
128#19098427C2211yescharacteristic
129#19098426C2211yescharacteristic
130#19098425C2211yescharacteristic
131#19098425C2211yescharacteristic
132#19098424C2211yescharacteristic
133#19098422C2211yescharacteristic
134#19098422C2211yescharacteristic
135#19098422C2211yescharacteristic
136#19098421C2211yescharacteristic
137#19098420C2211yescharacteristic
138C4⋊C4×Dic79C2211yescharacteristic
139C4⋊C4×Dic79C2211yescharacteristic
140C4⋊C4×Dic79C2211yescharacteristic
141C4⋊C4×Dic79C2211yescharacteristic
142C4×Dic79⋊C4C2211yescharacteristic
143C4×Dic79⋊C4C2211yescharacteristic
144C4×C4⋊Dic79C2211yescharacteristic
145#19098414C2211yescharacteristic
146#19098414C2211yescharacteristic
147#19098414C2211yescharacteristic
148#19098414C2211yescharacteristic
149#19098414C2211yescharacteristic
150#19098414C2211yescharacteristic
151C22⋊C4×Dic79C2211yescharacteristic
152C22⋊C4×Dic79C2211yescharacteristic
153C22⋊C4×Dic79C2211yescharacteristic
154C22⋊C4×Dic79C2211yescharacteristic
155C22⋊C4×Dic79C2211yescharacteristic
156C22⋊C4×Dic79C2211yescharacteristic
157C4×(C2×D79)⋊C4C2211yescharacteristic
158C4×(C2×D79)⋊C4C2211yescharacteristic
159C4×(C2×D79)⋊C4C2211yescharacteristic
160C4×(C2×D79)⋊C4C2211yescharacteristic
161#19098410C2211yescharacteristic
162#19098410C2211yescharacteristic
163#19098410C2211yescharacteristic
164#19098410C2211yescharacteristic
165#19098410C2211yescharacteristic
166#19098410C2211yescharacteristic
167#19098410C2211yescharacteristic
168#19098410C2211yescharacteristic
169#19098408C2211yescharacteristic
170#19098408C2211yescharacteristic
171C42×Dic79C2211yescharacteristic
172C42×Dic79C2211yescharacteristic
173C2×#123×C79C2211yescharacteristic
174#390×C79C2211yescharacteristic
175#389×C79C2211yescharacteristic
176#388×C79C2211yescharacteristic
177#388×C79C2211yescharacteristic
178#388×C79C2211yescharacteristic
179#388×C79C2211yescharacteristic
180#387×C79C2211yescharacteristic
181#387×C79C2211yescharacteristic
182#386×C79C2211yescharacteristic
183#385×C79C2211yescharacteristic
184#380×C79C2211yescharacteristic
185C4×C4⋊C4×C79C2211yescharacteristic
186C4×C22⋊C4×C79C2211yescharacteristic
187C4×C22⋊C4×C79C2211yescharacteristic
188C22×D316C2311yescharacteristic
189C22×D316C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C23×Dic79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C23×Dic79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C22×C4×D79C2311yescharacteristic
202C22×C4×D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210#14579157C2×C418yescomplemented
211#14579151C2×C418yescomplemented
212#14579146C2×C418yescomplemented
213#14579145C2×C418yescomplemented
214#14579143C2×C418yescomplemented
215#14579136C2×C418yescomplemented
216#14579135C2×C418yescomplemented
217#14579134C2×C418yescomplemented
218#14579134C2×C418yescomplemented
219#14579134C2×C418yescomplemented
220#14579133C2×C418yescomplemented
221D4×Dic79—42no—
222#14579123—42no—
223#14579123—42no—
224#14579123—42no—
225C4×C22⋊D79—24no—
226C4×C22⋊D79C2×C418yescomplemented
227(C22⋊D79)⋊C4—24no—
228(C22⋊D79)⋊C4—24no—
229(C22⋊D79)⋊C4—24no—
230(C22⋊D79)⋊C4—42no—
231(C22⋊D79)⋊C4—42no—
232(C22⋊D79)⋊C4—42no—
233(C22⋊D79)⋊C4—42no—
234(C22⋊D79)⋊C4C2×C418yescomplemented
235#14579119—24no—
236#14579119C2×C418yescomplemented
237C2×C4⋊Dic79C2311yescharacteristic
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
240C2×C4⋊Dic79C2311yescharacteristic
241C2×C4⋊Dic79C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
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×Dic79⋊C4C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×(C2×D79)⋊C4C2311yescharacteristic
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×C4×Dic79—42no—
287C2×C4×Dic79—42no—
288C2×C4×Dic79C2311yescharacteristic
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
300C2×C4×Dic79C2311yescharacteristic
301C2×C4×Dic79C2311yescharacteristic
302C2×C4×Dic79C2311yescharacteristic
303C2×C4×Dic79C2311yescharacteristic
304C2×C4×Dic79C2311yescharacteristic
305C2×C4×Dic79C2311yescharacteristic
306C2×C4×Dic79C2311yescharacteristic
307C2×C4×Dic79C2311yescharacteristic
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
310C2×C4×Dic79C2311yescharacteristic
311C42×D79—24no—
312C42×D79—42no—
313C42×D79—42no—
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
340C22×D4×C79C2311yescharacteristic
341C23×C4×C79C2311yescharacteristic
342C23×C4×C79C2311yescharacteristic
343#123×C79C2×C418yescomplemented
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C4⋊C4×C79C2311yescharacteristic
346C2×C4⋊C4×C79C2311yescharacteristic
347C2×C4⋊C4×C79C2311yescharacteristic
348C2×C4⋊C4×C79C2311yescharacteristic
349C2×C4⋊C4×C79C2311yescharacteristic
350C2×C4⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C22⋊C4×C79C2311yescharacteristic
354C2×C22⋊C4×C79C2311yescharacteristic
355C2×C22⋊C4×C79C2311yescharacteristic
356C2×C22⋊C4×C79C2311yescharacteristic
357C2×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C22⋊C4×C79C2311yescharacteristic
361C2×C42×C79C2311yescharacteristic
362C2×C42×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×D79C2411yescharacteristic
377C23×D79C2411yescharacteristic
378C23×D79C2411yescharacteristic
379C2×D316—41no—
380C2×D316—41no—
381C2×D316—41no—
382C2×D316—41no—
383C2×D316—41no—
384C2×D316—41no—
385C2×D316C22×C414yes—
386C2×D316C22×C414yes—
387C2×D316C22×C414yes—
388C2×C22⋊D79—22no—
389C2×C22⋊D79—22no—
390C2×C22⋊D79—22no—
391C2×C22⋊D79—22no—
392C2×C22⋊D79—41no—
393C2×C22⋊D79—41no—
394C2×C22⋊D79—41no—
395C2×C22⋊D79—41no—
396C2×C22⋊D79—41no—
397C2×C22⋊D79—41no—
398C2×C22⋊D79—41no—
399C2×C22⋊D79—41no—
400C2×C22⋊D79C22×C414yes—
401C2×C22⋊D79C22×C414yes—
402C2×C22⋊D79C22×C414yes—
403C2×C22⋊D79C22×C414yes—
404C2×C22⋊D79C22×C414yes—
405C2×C22⋊D79C22×C414yes—
406C22×Dic79—22no—
407C22×Dic79—22no—
408C22×Dic79—22no—
409C22×Dic79—22no—
410C22×Dic79—22no—
411C22×Dic79—22no—
412C22×Dic79—22no—
413C22×Dic79—41no—
414C22×Dic79—41no—
415C22×Dic79—41no—
416C22×Dic79—41no—
417C22×Dic79C22×C414yes—
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C2×C4×D79—22no—
432C2×C4×D79—22no—
433C2×C4×D79—22no—
434C2×C4×D79—22no—
435C2×C4×D79—22no—
436C2×C4×D79—22no—
437C2×C4×D79—22no—
438C2×C4×D79—22no—
439C2×C4×D79—22no—
440C2×C4×D79—22no—
441C2×C4×D79—22no—
442C2×C4×D79—22no—
443C2×C4×D79—22no—
444C2×C4×D79—22no—
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×D79C22×C414yes—
456C2×C4×D79C22×C414yes—
457C2×C4×D79C22×C414yes—
458C4⋊Dic79—22no—
459C4⋊Dic79—41no—
460C4⋊Dic79—41no—
461C4⋊Dic79C22×C414yes—
462C4⋊Dic79C22×C414yes—
463Dic79⋊C4—22no—
464Dic79⋊C4—22no—
465Dic79⋊C4—22no—
466Dic79⋊C4—22no—
467Dic79⋊C4—41no—
468Dic79⋊C4—41no—
469Dic79⋊C4—41no—
470Dic79⋊C4—41no—
471Dic79⋊C4—41no—
472Dic79⋊C4—41no—
473Dic79⋊C4C22×C414yes—
474Dic79⋊C4C22×C414yes—
475Dic79⋊C4C22×C414yes—
476Dic79⋊C4C22×C414yes—
477C22⋊Dic79—22no—
478C22⋊Dic79—41no—
479C22⋊Dic79—41no—
480C22⋊Dic79—41no—
481C22⋊Dic79—41no—
482C22⋊Dic79C22×C414yes—
483(C2×D79)⋊C4—22no—
484(C2×D79)⋊C4—22no—
485(C2×D79)⋊C4—22no—
486(C2×D79)⋊C4—22no—
487(C2×D79)⋊C4—22no—
488(C2×D79)⋊C4—22no—
489(C2×D79)⋊C4—41no—
490(C2×D79)⋊C4—41no—
491(C2×D79)⋊C4—41no—
492(C2×D79)⋊C4—41no—
493(C2×D79)⋊C4—41no—
494(C2×D79)⋊C4—41no—
495(C2×D79)⋊C4—41no—
496(C2×D79)⋊C4—41no—
497(C2×D79)⋊C4—41no—
498(C2×D79)⋊C4—41no—
499(C2×D79)⋊C4—41no—
500(C2×D79)⋊C4—41no—
501(C2×D79)⋊C4C22×C414yes—
502(C2×D79)⋊C4C22×C414yes—
503(C2×D79)⋊C4C22×C414yes—
504(C2×D79)⋊C4C22×C414yes—
505(C2×D79)⋊C4C22×C414yes—
506(C2×D79)⋊C4C22×C414yes—
507C4×Dic79—22no—
508C4×Dic79—22no—
509C4×Dic79—22no—
510C4×Dic79—22no—
511C4×Dic79—22no—
512C4×Dic79—22no—
513C4×Dic79—22no—
514C4×Dic79—22no—
515C4×Dic79—22no—
516C4×Dic79—22no—
517C4×Dic79—22no—
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—
528C4×Dic79#4114yes—
529C4×Dic79#4114yes—
530C24×C79C2411yescharacteristic
531C24×C79C2411yescharacteristic
532C2×D4×C79—41no—
533C2×D4×C79—41no—
534C2×D4×C79C22×C414yes—
535C22×C4×C79—22no—
536C22×C4×C79—41no—
537C22×C4×C79—41no—
538C22×C4×C79—41no—
539C22×C4×C79—41no—
540C22×C4×C79C22×C414yes—
541C22×C4×C79C2411yescharacteristic
542C22×C4×C79C2411yescharacteristic
543C22×C4×C79C2411yescharacteristic
544C22×C4×C79C2411yescharacteristic
545C22×C4×C79C2411yescharacteristic
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C22×C4×C79C2411yescharacteristic
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C4⋊C4×C79—22no—
555C4⋊C4×C79—41no—
556C4⋊C4×C79—41no—
557C4⋊C4×C79—41no—
558C4⋊C4×C79—41no—
559C4⋊C4×C79C22×C414yes—
560C4⋊C4×C79C22×C414yes—
561C22⋊C4×C79—22no—
562C22⋊C4×C79—22no—
563C22⋊C4×C79—22no—
564C22⋊C4×C79—41no—
565C22⋊C4×C79—41no—
566C22⋊C4×C79—41no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79C22×C414yes—
569C22⋊C4×C79C22×C414yes—
570C22⋊C4×C79C22×C414yes—
571C42×C79—22no—
572C42×C79—41no—
573C42×C79—41no—
574C42×C79—41no—
575C42×C79—41no—
576C23×C79—21no—
577C23×C79—21no—
578C23×C79—21no—
579C23×C79—21no—
580C23×C79—21no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79C23×C412yes—
589C23×C79C23×C412yes—
590C23×C79C2511yescharacteristic
591C22×D79—21no—
592C22×D79—21no—
593C22×D79—21no—
594C22×D79—21no—
595C22×D79—21no—
596C22×D79—21no—
597C22×D79—21no—
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×D79C23×C412yes—
610C22×D79C23×C412yes—
611C22×D79C23×C412yes—
612D4×C79—44no—
613C2×C4×C79—21no—
614C2×C4×C79—21no—
615C2×C4×C79—21no—
616C2×C4×C79—21no—
617C2×C4×C79—21no—
618C2×C4×C79—21no—
619C2×C4×C79—21no—
620C2×C4×C79—21no—
621C2×C4×C79—21no—
622C2×C4×C79—21no—
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—44no—
646C2×C4×C79—44no—
647C2×C4×C79C23×C412yes—
648C2×C4×C79C23×C412yes—
649C2×C4×C79C23×C412yes—
650C2×C4×C79C23×C412yes—
651C2×C4×C79C23×C412yes—
652C2×C4×C79C2×#4112yes—
653C2×C4×C79C2×#4112yes—
654C22⋊D79—28no—
655C22⋊D79—28no—
656C22⋊D79—44no—
657C22⋊D79—44no—
658C22⋊D79—44no—
659C22⋊D79—44no—
660C2×Dic79—21no—
661C2×Dic79—21no—
662C2×Dic79—21no—
663C2×Dic79—21no—
664C2×Dic79—21no—
665C2×Dic79—21no—
666C2×Dic79—21no—
667C2×Dic79—21no—
668C2×Dic79—21no—
669C2×Dic79—21no—
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—44no—
689C2×Dic79—44no—
690C2×Dic79—44no—
691C2×Dic79—44no—
692C2×Dic79C23×C412yes—
693C2×Dic79C23×C412yes—
694C2×Dic79C23×C412yes—
695C2×Dic79C23×C412yes—
696C2×Dic79C23×C412yes—
697C2×Dic79C2×#4112yes—
698C2×Dic79C2×#4112yes—
699C2×Dic79C2×#4112yes—
700C2×Dic79C2×#4112yes—
701C2×Dic79H(5,𝔽2)12yes—
702C2×Dic79H(5,𝔽2)12yes—
703D316—44no—
704D316—44no—
705D316—44no—
706C4×D79—28no—
707C4×D79—44no—
708C4×D79—44no—
709C4×D79—44no—
710C4×D79—44no—
711C4×D79—44no—
712C4×D79—44no—
713C4×D79—44no—
714C4×D79—44no—
715C22×C79—22no—
716C22×C79—22no—
717C22×C79—22no—
718C22×C79—22no—
719C22×C79—22no—
720C22×C79—22no—
721C22×C79—41no—
722C22×C79—41no—
723C22×C79—41no—
724C22×C79—41no—
725C22×C79—41no—
726C22×C79—41no—
727C22×C79—41no—
728C22×C79—41no—
729C22×C79C24×C411yescharacteristic
730C22×C79C22×#4111yescharacteristic
731C22×C79C22×#4111yescharacteristic
732C22×C79C2×H(5,𝔽2)11yescharacteristic
733C22×C79C2×H(5,𝔽2)11yescharacteristic
734C22×C79#58511yescharacteristic
735C22×C79#58511yescharacteristic
736C2×D79—22no—
737C2×D79—22no—
738C2×D79—22no—
739C2×D79—22no—
740C2×D79—22no—
741C2×D79—22no—
742C2×D79—22no—
743C2×D79—22no—
744C2×D79—22no—
745C2×D79—41no—
746C2×D79—41no—
747C2×D79—41no—
748C2×D79—41no—
749C2×D79—41no—
750C2×D79—41no—
751C2×D79—41no—
752C2×D79—41no—
753C2×D79—41no—
754C2×D79—41no—
755C2×D79—41no—
756C2×D79—41no—
757C4×C79—22no—
758C4×C79—22no—
759C4×C79—22no—
760C4×C79—22no—
761C4×C79—22no—
762C4×C79—22no—
763C4×C79—22no—
764C4×C79—41no—
765C4×C79—41no—
766C4×C79—41no—
767C4×C79—41no—
768C4×C79—41no—
769C4×C79—41no—
770Dic79—22no—
771Dic79—22no—
772Dic79—22no—
773Dic79—22no—
774Dic79—22no—
775Dic79—41no—
776Dic79—41no—
777Dic79—41no—
778Dic79—41no—
779Dic79—41no—
780Dic79—41no—
781Dic79C4×#4114yes—
782Dic79#54014yescomplemented
783C4×#540—791nomaximal, Sylow
784C2×C79—42no—
785C2×C79—42no—
786C2×C79C2×C4×#4111yescharacteristic
787C2×C79C4×H(5,𝔽2)11yescharacteristic
788C2×C79C4×H(5,𝔽2)11yescharacteristic
789C2×C79C2×#54011yescharacteristic
790C2×C79#345511yescharacteristic
791C2×C79#346011yescharacteristic
792C2×C79#346011yescharacteristic
793D79—42no—
794D79—42no—
795D79—42no—
796C2×#540—791no—
797#2335—791no—
798#2335—791no—
799#2335—791no—
800#2335D7911yescharacteristic, complemented
801#2333—791no—
802#2333—791no—
803#2333—791no—
804#2333—791no—
805#2330—791no—
806#2328—791no—
807#2324—791no—
808#2324—791no—
809#2319—791no—
810#2319—791no—
811#2314—791no—
812C4×#127—791no—
813C4×#125—791no—
814C4×#123—791no—
815C4×#123—791no—
816C4×#123—791no—
817C4×#123—791no—
818C4×#121—791no—
819C4×#121—791no—
820C4×#121—791no—
821C4×#121—791no—
822C4×#121—791no—
823C4×#121—791no—
824C42×D4—791no—
825C42×D4—791no—
826C4×#117—791no—
827C79C4×#54011yescharacteristic, complemented, Sylow
828#540—7916no—
829C2×#127—791no—
830C2×#125—791no—
831C2×#123—791no—
832C2×#123—791no—
833C2×#123—791no—
834C2×#123C2×D7911yescharacteristic
835C2×#121—791no—
836C2×#121—791no—
837C2×#121—791no—
838C2×#121—791no—
839C2×#121—791no—
840C2×#121—791no—
841C2×C4×D4—791no—
842C2×C4×D4—791no—
843C2×C4×D4—791no—
844C2×C4×D4—791no—
845C2×C4×D4—791no—
846C2×C4×D4—791no—
847C2×C4×D4—791no—
848C2×C4×D4—791no—
849C2×C4×D4—791no—
850C2×C4×D4—791no—
851C2×C4×D4—791no—
852C2×C4×D4—791no—
853C2×C4×D4—791no—
854C2×C4×D4—791no—
855C2×#117—791no—
856C2×#117—791no—
857C22×C42—791no—
858C22×C42—791no—
859C22×C42—791no—
860C22×C42—791no—
861C22×C42—791no—
862#390—791no—
863#390—791no—
864#390—791no—
865#390—791no—
866#390—791no—
867#390—791no—
868#390—791no—
869#390—791no—
870#390—791no—
871#390—791no—
872#390—791no—
873#390C2×D7911yescharacteristic
874#389—791no—
875#389—791no—
876#389—791no—
877#389—791no—
878#389—791no—
879#389—791no—
880#389—791no—
881#389C2×D7911yescharacteristic
882#388—791no—
883#388—791no—
884#388—791no—
885#388—791no—
886#388—791no—
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#388C2×D7911yescharacteristic
899#388C2×D7911yescharacteristic
900#388C2×D7911yescharacteristic
901#388C2×D7911yescharacteristic
902#387—791no—
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#387C2×D7911yescharacteristic
913#387C2×D7911yescharacteristic
914#386—791no—
915#386—791no—
916#386—791no—
917#386—791no—
918#386—791no—
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#386C2×D7911yescharacteristic
930#385—791no—
931#385—791no—
932#385—791no—
933#385C2×D7911yescharacteristic
934#384—791no—
935#382—791no—
936#381—791no—
937#381—791no—
938#381—791no—
939#381—791no—
940#380—791no—
941#380—791no—
942#380—791no—
943#380—791no—
944#380—791no—
945#380C2×D7911yescharacteristic
946C4×C4⋊C4—791no—
947C4×C4⋊C4—791no—
948C4×C4⋊C4—791no—
949C4×C4⋊C4—791no—
950C4×C4⋊C4—791no—
951C4×C4⋊C4—791no—
952C4×C4⋊C4—791no—
953C4×C4⋊C4—791no—
954C4×C4⋊C4—791no—
955C4×C4⋊C4—791no—
956C4×C4⋊C4—791no—
957C4×C4⋊C4—791no—
958C4×C4⋊C4—791no—
959C4×C4⋊C4C2×D7911yescharacteristic
960C4×C22⋊C4—791no—
961C4×C22⋊C4—791no—
962C4×C22⋊C4—791no—
963C4×C22⋊C4—791no—
964C4×C22⋊C4—791no—
965C4×C22⋊C4—791no—
966C4×C22⋊C4—791no—
967C4×C22⋊C4—791no—
968C4×C22⋊C4—791no—
969C4×C22⋊C4—791no—
970C4×C22⋊C4—791no—
971C4×C22⋊C4—791no—
972C4×C22⋊C4—791no—
973C4×C22⋊C4—791no—
974C4×C22⋊C4—791no—
975C4×C22⋊C4—791no—
976C4×C22⋊C4—791no—
977C4×C22⋊C4—791no—
978C4×C22⋊C4C2×D7911yescharacteristic
979C4×C22⋊C4C2×D7911yescharacteristic
980#376—791no—
981#376—791no—
982C43—791no—
983C43—791no—
984C22×D4—791no—
985C22×D4—791no—
986C22×D4—791no—
987C22×D4—791no—
988C22×D4—791no—
989C22×D4—791no—
990C22×D4—791no—
991C22×D4—791no—
992C22×D4—791no—
993C22×D4C22×D7911yescharacteristic
994C23×C4—791no—
995C23×C4—791no—
996C23×C4—791no—
997C23×C4—791no—
998C23×C4—791no—
999C23×C4—791no—
1000C23×C4—791no—
1001C23×C4—791no—
1002C23×C4—791no—
1003C23×C4—791no—
1004C23×C4—791no—
1005C23×C4—791no—
1006C23×C4—791no—
1007C23×C4C22×D7911yescharacteristic
1008C23×C4C22×D7911yescharacteristic
1009#127—798no—
1010#125—798no—
1011#123—798no—
1012#123—798no—
1013#123—798no—
1014#123C4×D7918yescomplemented
1015#121—798no—
1016#121—798no—
1017#121—798no—
1018#121—798no—
1019#121—798no—
1020#121—798no—
1021C4×D4—3162no—
1022C4×D4—3162no—
1023C4×D4—3162no—
1024C4×D4—3162no—
1025C4×D4—3162no—
1026C4×D4—3162no—
1027C4×D4—3162no—
1028C4×D4—3162no—
1029C4×D4—798no—
1030C4×D4—798no—
1031C4×D4—1584no—
1032C4×D4—1584no—
1033C4×D4—1584no—
1034C4×D4—1584no—
1035#117—798no—
1036#117—1584no—
1037C2×C4⋊C4—791no—
1038C2×C4⋊C4—791no—
1039C2×C4⋊C4—791no—
1040C2×C4⋊C4—791no—
1041C2×C4⋊C4—791no—
1042C2×C4⋊C4—791no—
1043C2×C4⋊C4—791no—
1044C2×C4⋊C4—791no—
1045C2×C4⋊C4—791no—
1046C2×C4⋊C4—791no—
1047C2×C4⋊C4—791no—
1048C2×C4⋊C4—791no—
1049C2×C4⋊C4—791no—
1050C2×C4⋊C4—791no—
1051C2×C4⋊C4—791no—
1052C2×C4⋊C4—791no—
1053C2×C4⋊C4—791no—
1054C2×C4⋊C4—791no—
1055C2×C4⋊C4—791no—
1056C2×C4⋊C4C22×D7911yescharacteristic
1057C2×C4⋊C4C22×D7911yescharacteristic
1058C2×C4⋊C4C22×D7911yescharacteristic
1059C2×C4⋊C4C22×D7911yescharacteristic
1060C2×C4⋊C4C22×D7911yescharacteristic
1061C2×C4⋊C4C22×D7911yescharacteristic
1062C2×C4⋊C4C22×D7911yescharacteristic
1063C2×C22⋊C4—791no—
1064C2×C22⋊C4—791no—
1065C2×C22⋊C4—791no—
1066C2×C22⋊C4—791no—
1067C2×C22⋊C4—791no—
1068C2×C22⋊C4—791no—
1069C2×C22⋊C4—791no—
1070C2×C22⋊C4—791no—
1071C2×C22⋊C4—791no—
1072C2×C22⋊C4—791no—
1073C2×C22⋊C4—791no—
1074C2×C22⋊C4—791no—
1075C2×C22⋊C4—791no—
1076C2×C22⋊C4—791no—
1077C2×C22⋊C4—791no—
1078C2×C22⋊C4—791no—
1079C2×C22⋊C4—791no—
1080C2×C22⋊C4—791no—
1081C2×C22⋊C4—791no—
1082C2×C22⋊C4—791no—
1083C2×C22⋊C4—791no—
1084C2×C22⋊C4—791no—
1085C2×C22⋊C4—791no—
1086C2×C22⋊C4—791no—
1087C2×C22⋊C4—791no—
1088C2×C22⋊C4—791no—
1089C2×C22⋊C4—791no—
1090C2×C22⋊C4—791no—
1091C2×C22⋊C4—791no—
1092C2×C22⋊C4—791no—
1093C2×C22⋊C4C22×D7911yescharacteristic
1094C2×C22⋊C4C22×D7911yescharacteristic
1095C2×C22⋊C4C22×D7911yescharacteristic
1096C2×C22⋊C4C22×D7911yescharacteristic
1097C2×C22⋊C4C22×D7911yescharacteristic
1098C2×C22⋊C4C22×D7911yescharacteristic
1099C2×C22⋊C4C22×D7911yescharacteristic
1100C2×C22⋊C4C22×D7911yescharacteristic
1101C2×C22⋊C4C22×D7911yescharacteristic
1102C2×C22⋊C4C22×D7911yescharacteristic
1103C2×C42—3162no—
1104C2×C42—3162no—
1105C2×C42—3162no—
1106C2×C42—3162no—
1107C2×C42—791no—
1108C2×C42—791no—
1109C2×C42—791no—
1110C2×C42—791no—
1111C2×C42—791no—
1112C2×C42—791no—
1113C2×C42—791no—
1114C2×C42—791no—
1115C2×C42—791no—
1116C2×C42—791no—
1117C2×C42—791no—
1118C2×C42—791no—
1119C2×C42—791no—
1120C2×C42—791no—
1121C2×C42—791no—
1122C2×C42—791no—
1123C2×C42—791no—
1124C2×C42—791no—
1125C2×C42—791no—
1126C2×C42—791no—
1127C2×C42—791no—
1128C2×C42—791no—
1129C2×C42—791no—
1130C2×C42—1584no—
1131C2×C42C22×D7911yescharacteristic
1132C2×C42C22×D7911yescharacteristic
1133C2×C42C22×D7911yescharacteristic
1134C2×C42C22×D7911yescharacteristic
1135C2×C42C22×D7911yescharacteristic
1136#95—791no—
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#95C22×D7911yescharacteristic
1163#95C22×D7911yescharacteristic
1164#95C22×D7911yescharacteristic
1165#95C22×D7911yescharacteristic
1166#95C22×D7911yescharacteristic
1167#95C22×D7911yescharacteristic
1168#95C22×D7911yescharacteristic
1169#95C22×D7911yescharacteristic
1170#95C22×D7911yescharacteristic
1171#95C22×D7911yescharacteristic
1172C24—791no—
1173C24—791no—
1174C24—791no—
1175C24C23×D7911yescharacteristic
1176C24C23×D7911yescharacteristic
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—3161no—
1180C2×D4—3161no—
1181C2×D4—3161no—
1182C2×D4—3161no—
1183C2×D4—3161no—
1184C2×D4—3161no—
1185C2×D4—3161no—
1186C2×D4—3161no—
1187C2×D4—3161no—
1188C2×D4—3161no—
1189C2×D4—3161no—
1190C2×D4—3161no—
1191C2×D4—3161no—
1192C2×D4—3161no—
1193C2×D4—794no—
1194C2×D4—794no—
1195C2×D4—794no—
1196C2×D4—794no—
1197C2×D4—794no—
1198C2×D4—794no—
1199C2×D4—794no—
1200C2×D4—794no—
1201C2×D4—794no—
1202C2×D4—1582no—
1203C2×D4—1582no—
1204C2×D4—1582no—
1205C2×D4—1582no—
1206C2×D4C2×C4×D7914yes—
1207C22×C4—22no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—3161no—
1213C22×C4—3161no—
1214C22×C4—3161no—
1215C22×C4—3161no—
1216C22×C4—3161no—
1217C22×C4—3161no—
1218C22×C4—3161no—
1219C22×C4—3161no—
1220C22×C4—3161no—
1221C22×C4—3161no—
1222C22×C4—3161no—
1223C22×C4—3161no—
1224C22×C4—3161no—
1225C22×C4—3161no—
1226C22×C4—794no—
1227C22×C4—794no—
1228C22×C4—794no—
1229C22×C4—791no—
1230C22×C4—791no—
1231C22×C4—791no—
1232C22×C4—791no—
1233C22×C4—791no—
1234C22×C4—791no—
1235C22×C4—791no—
1236C22×C4—794no—
1237C22×C4—791no—
1238C22×C4—791no—
1239C22×C4—791no—
1240C22×C4—791no—
1241C22×C4—791no—
1242C22×C4—791no—
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—
1253C22×C4—1582no—
1254C22×C4—1582no—
1255C22×C4—1582no—
1256C22×C4—1582no—
1257C22×C4—1582no—
1258C22×C4—1582no—
1259C22×C4—1582no—
1260C22×C4—1582no—
1261C22×C4—1582no—
1262C22×C4—1582no—
1263C22×C4—1582no—
1264C22×C4C2×C4×D7914yes—
1265C22×C4C23×D7911yescharacteristic
1266C22×C4C23×D7911yescharacteristic
1267C22×C4C23×D7911yescharacteristic
1268C22×C4C23×D7911yescharacteristic
1269C22×C4C23×D7911yescharacteristic
1270C22×C4C23×D7911yescharacteristic
1271C22×C4C23×D7911yescharacteristic
1272C22×C4C23×D7911yescharacteristic
1273C22×C4C23×D7911yescharacteristic
1274C22×C4C23×D7911yescharacteristic
1275C22×C4C23×D7911yescharacteristic
1276C22×C4C23×D7911yescharacteristic
1277C22×C4C23×D7911yescharacteristic
1278C4⋊C4—22no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—3161no—
1284C4⋊C4—3161no—
1285C4⋊C4—3161no—
1286C4⋊C4—3161no—
1287C4⋊C4—3161no—
1288C4⋊C4—3161no—
1289C4⋊C4—3161no—
1290C4⋊C4—3161no—
1291C4⋊C4—794no—
1292C4⋊C4—794no—
1293C4⋊C4—794no—
1294C4⋊C4—794no—
1295C4⋊C4—794no—
1296C4⋊C4—794no—
1297C4⋊C4—1582no—
1298C4⋊C4—1582no—
1299C4⋊C4—1582no—
1300C4⋊C4—1582no—
1301C4⋊C4—1582no—
1302C4⋊C4C2×C4×D7914yes—
1303C4⋊C4C2×C4×D7914yes—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—3161no—
1312C22⋊C4—3161no—
1313C22⋊C4—3161no—
1314C22⋊C4—3161no—
1315C22⋊C4—3161no—
1316C22⋊C4—3161no—
1317C22⋊C4—3161no—
1318C22⋊C4—3161no—
1319C22⋊C4—3161no—
1320C22⋊C4—3161no—
1321C22⋊C4—3161no—
1322C22⋊C4—3161no—
1323C22⋊C4—3161no—
1324C22⋊C4—3161no—
1325C22⋊C4—3161no—
1326C22⋊C4—3161no—
1327C22⋊C4—794no—
1328C22⋊C4—794no—
1329C22⋊C4—794no—
1330C22⋊C4—794no—
1331C22⋊C4—794no—
1332C22⋊C4—794no—
1333C22⋊C4—794no—
1334C22⋊C4—1582no—
1335C22⋊C4—1582no—
1336C22⋊C4—1582no—
1337C22⋊C4—1582no—
1338C22⋊C4—1582no—
1339C22⋊C4—1582no—
1340C22⋊C4—1582no—
1341C22⋊C4C2×C4×D7914yes—
1342C22⋊C4C2×C4×D7914yes—
1343C22⋊C4C2×C4×D7914yes—
1344C42—22no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—3161no—
1350C42—3161no—
1351C42—3161no—
1352C42—3161no—
1353C42—3161no—
1354C42—3161no—
1355C42—3161no—
1356C42—3161no—
1357C42—794no—
1358C42—794no—
1359C42—794no—
1360C42—794no—
1361C42—1582no—
1362C42—1582no—
1363C42—1582no—
1364C42—1582no—
1365C42—1582no—
1366C42—1582no—
1367C42—1582no—
1368C42—1582no—
1369C42—1582no—
1370C42—1582no—
1371C42—1582no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—792no—
1385C23—792no—
1386C23—792no—
1387C23—1581no—
1388C23—1581no—
1389C23—1581no—
1390C23—1581no—
1391C23—1581no—
1392C23—1581no—
1393C23—1581no—
1394C23—1581no—
1395C23—1581no—
1396C23—1581no—
1397C23—1581no—
1398C23—1581no—
1399C23—1581no—
1400C23—1581no—
1401C23—1581no—
1402C23—1581no—
1403C23—1581no—
1404C23—1581no—
1405C23C22×C4×D7912yes—
1406C23C22×C4×D7912yes—
1407C23C24×D7911yescharacteristic
1408D4—44no—
1409D4—3164no—
1410D4—3164no—
1411D4—3164no—
1412D4—3164no—
1413D4—3164no—
1414D4—3164no—
1415D4—3164no—
1416D4—1588no—
1417D4—1588no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
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—21no—
1449C2×C4—21no—
1450C2×C4—44no—
1451C2×C4—44no—
1452C2×C4—3164no—
1453C2×C4—3164no—
1454C2×C4—3164no—
1455C2×C4—3164no—
1456C2×C4—3164no—
1457C2×C4—3164no—
1458C2×C4—3164no—
1459C2×C4—3164no—
1460C2×C4—3164no—
1461C2×C4—3164no—
1462C2×C4—3164no—
1463C2×C4—3164no—
1464C2×C4—792no—
1465C2×C4—792no—
1466C2×C4—792no—
1467C2×C4—792no—
1468C2×C4—792no—
1469C2×C4—792no—
1470C2×C4—792no—
1471C2×C4—792no—
1472C2×C4—792no—
1473C2×C4—792no—
1474C2×C4—792no—
1475C2×C4—1588no—
1476C2×C4—1581no—
1477C2×C4—1581no—
1478C2×C4—1581no—
1479C2×C4—1581no—
1480C2×C4—1581no—
1481C2×C4—1581no—
1482C2×C4—1581no—
1483C2×C4—1581no—
1484C2×C4—1581no—
1485C2×C4—1581no—
1486C2×C4—1581no—
1487C2×C4—1581no—
1488C2×C4—1581no—
1489C2×C4—1581no—
1490C2×C4—1581no—
1491C2×C4—1581no—
1492C2×C4—1581no—
1493C2×C4—1581no—
1494C2×C4—1581no—
1495C2×C4—1581no—
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×C4C22×C4×D7912yes—
1505C2×C4C22×C4×D7912yes—
1506C2×C4C22×C4×D7912yes—
1507C2×C4C22×C4×D7912yes—
1508C2×C4C22×C4×D7912yes—
1509C2×C4#41×D7912yes—
1510C2×C4#41×D7912yes—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—3161no—
1526C22—3161no—
1527C22—3161no—
1528C22—3161no—
1529C22—3161no—
1530C22—3161no—
1531C22—3161no—
1532C22—3161no—
1533C22—3161no—
1534C22—3161no—
1535C22—3161no—
1536C22—3161no—
1537C22—1582no—
1538C22—1582no—
1539C22—1582no—
1540C22—1582no—
1541C22—1582no—
1542C22—1582no—
1543C22—1582no—
1544C22—1582no—
1545C22—1582no—
1546C22C23×C4×D7911yescharacteristic
1547C22C2×#41×D7911yescharacteristic
1548C22C2×#41×D7911yescharacteristic
1549C22H(5,𝔽2)×D7911yescharacteristic
1550C22H(5,𝔽2)×D7911yescharacteristic
1551C22#1909939811yescharacteristic
1552C22#1909940011yescharacteristic
1553C4—22no—
1554C4—22no—
1555C4—22no—
1556C4—22no—
1557C4—22no—
1558C4—22no—
1559C4—22no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—3161no—
1567C4—3161no—
1568C4—3161no—
1569C4—3161no—
1570C4—3161no—
1571C4—3161no—
1572C4—794no—
1573C4—794no—
1574C4—1582no—
1575C4—1582no—
1576C4—1582no—
1577C4—1582no—
1578C4—1582no—
1579C2—42no—
1580C2—42no—
1581C2—3162no—
1582C2—3162no—
1583C2—3162no—
1584C2C4×#41×D7911yescharacteristic
1585C2#2377660411yescharacteristic
1586C2#2377660611yescharacteristic
1587C2#540×D7911yescharacteristic
1588C2#2377678611yescharacteristic
1589C2#2377681911yescharacteristic
1590C2#2377682011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutatorC22×C79C24×C4
FittingC79×#2335C2
socle, cosocleC23×C79C25
prime radicalC2×#19099165C2
hypercenter#2335D79
hypocenterC79C4×#540
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
2. #23766197C2semidirect
3. #23766195C2semidirect
4. #23766184C2semidirect
5. #23766165C2semidirect
6. #23766164C2semidirect
7. #23766160C2semidirect
8. #23766159C2semidirect
9. #23766138C2semidirect
10. #23766121C2semidirect
11. #23766092C2semidirect
12. #23766088C2semidirect
13. #23766042C2semidirect
14. #23766041C2semidirect
15. #23766006C2semidirect
16. #23765964C2semidirect
17. #23765957C2semidirect
18. #23765927C2semidirect
19. #123×Dic79C2semidirect
20. #23765921C2semidirect
21. #23765919C2semidirect
22. #23765912C2semidirect
23. #23765912C2semidirect
24. #23765912C2semidirect
25. #23765910C2semidirect
26. #23765908C2semidirect
27. #23765906C2semidirect
28. C4×(C22⋊D79)⋊C4C2semidirect
29. C4×(C22⋊D79)⋊C4C2semidirect
30. C4×#14579119C2semidirect
31. C79×#2335C2semidirect
32. #19099165C4semidirect
210. #14579157C2×C4semidirect
211. #14579151C2×C4semidirect
212. #14579146C2×C4semidirect
213. #14579145C2×C4semidirect
214. #14579143C2×C4semidirect
215. #14579136C2×C4semidirect
216. #14579135C2×C4semidirect
217. #14579134C2×C4semidirect
218. #14579134C2×C4semidirect
219. #14579134C2×C4semidirect
220. #14579133C2×C4semidirect
226. C4×C22⋊D79C2×C4semidirect
234. (C22⋊D79)⋊C4C2×C4semidirect
236. #14579119C2×C4semidirect
343. #123×C79C2×C4semidirect
782. Dic79#540semidirect
800. #2335D79semidirect
827. C79C4×#540semidirect
1014. #123C4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991652
#237661972
#237661952
#237661842
#237661652
#237661642
#237661602
#237661592
#237661382
#237661212
#237660922
#237660882
#237660422
#237660412
#237660062
#237659642
#237659572
#237659272
#123×Dic792
#237659212
#237659192
#237659122
#237659102
#237659082
#237659062
C4×(C22⋊D79)⋊C42
C4×#145791192
C79×#23352
C4×#54079