Finite Group Databasebeta

← #34495036

Subgroups — #34495036

Order 20224.

2406 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099145C211yesmaximal, characteristic
2C2×C22⋊Q8×D79C211yesmaximal, characteristic, complemented
3#23771691C211yesmaximal, characteristic, complemented
4#23771689C211yesmaximal, characteristic, complemented
5#23769850C211yesmaximal, characteristic, complemented
6#23769849C211yesmaximal, characteristic, complemented
7#23769848C211yesmaximal, characteristic, complemented
8#23769847C211yesmaximal, characteristic, complemented
9#23769827C211yesmaximal, characteristic, complemented
10#23769825C211yesmaximal, characteristic, complemented
11#23769824C211yesmaximal, characteristic, complemented
12#23769822C211yesmaximal, characteristic, complemented
13#23769688C211yesmaximal, characteristic, complemented
14#23769686C211yesmaximal, characteristic, complemented
15#23769683C211yesmaximal, characteristic, complemented
16#23769681C211yesmaximal, characteristic, complemented
17#23769646C211yesmaximal, characteristic, complemented
18#23769645C211yesmaximal, characteristic, complemented
19#23769644C211yesmaximal, characteristic, complemented
20#23769172C211yesmaximal, characteristic, complemented
21#23769172C211yesmaximal, characteristic, complemented
22#23768874C211yesmaximal, characteristic, complemented
23#23768778C211yesmaximal, characteristic, complemented
24#23768745C211yesmaximal, characteristic, complemented
25#23768742C211yesmaximal, characteristic, complemented
26#23767713C211yesmaximal, characteristic, complemented
27#23767710C211yesmaximal, characteristic, complemented
28#23767055C211yesmaximal, characteristic, complemented
29#23767039C211yesmaximal, characteristic, complemented
30#23765994C211yesmaximal, characteristic, complemented
31C79×#2672C211yesmaximal, characteristic, complemented
32C22×Q8×D79C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34#19099145—28no—
35C2×#14579160C2211yescharacteristic, complemented
36C2×#14579160C2211yescharacteristic, complemented
37C2×#14579156C2211yescharacteristic
38C2×#14579154C2211yescharacteristic
39C2×#14579148C2211yescharacteristic
40C2×#14579148C2211yescharacteristic, complemented
41C2×#14579147C2211yescharacteristic
42C2×#14579144C2211yescharacteristic
43C2×#14579143C2211yescharacteristic
44C2×#14579143C2211yescharacteristic
45C2×#14579142C2211yescharacteristic
46C2×#14579142C2211yescharacteristic
47C2×#14579141C2211yescharacteristic
48C2×#14579140C2211yescharacteristic
49C2×#14579139C2211yescharacteristic
50C2×#14579139C2211yescharacteristic
51C2×#14579139C2211yescharacteristic
52C2×#14579138C2211yescharacteristic
53C2×#14579138C2211yescharacteristic
54C2×#14579137C2211yescharacteristic
55C22⋊Q8×D79—28no—
56C2×#14579133C2211yescharacteristic
57C2×#14579132C2211yescharacteristic
58C2×#14579129C2211yescharacteristic
59C2×#14579129C2211yescharacteristic
60C2×C4×C22⋊D79C2211yescharacteristic
61C2×(C22⋊D79)⋊C4C2211yescharacteristic
62C2×C4⋊C4×D79C2211yescharacteristic
63C2×C4⋊C4×D79C2211yescharacteristic
64C2×C4⋊C4×D79C2211yescharacteristic
65C2×C22⋊C4×D79C2211yescharacteristic
66C2×C22⋊C4×D79C2211yescharacteristic
67#19098504C2211yescharacteristic, complemented
68#19098504C2211yescharacteristic, complemented
69#19098503C2211yescharacteristic, complemented
70#19098503C2211yescharacteristic, complemented
71#19098502C2211yescharacteristic, complemented
72#19098501C2211yescharacteristic, complemented
73#19098499C2211yescharacteristic, complemented
74#19098499C2211yescharacteristic, complemented
75#19098499C2211yescharacteristic, complemented
76#19098497C2211yescharacteristic, complemented
77#19098497C2211yescharacteristic, complemented
78#19098496C2211yescharacteristic, complemented
79#19098496C2211yescharacteristic, complemented
80#19098494C2211yescharacteristic, complemented
81#19098493C2211yescharacteristic, complemented
82#19098492C2211yescharacteristic
83#19098492C2211yescharacteristic
84#19098491C2211yescharacteristic
85#19098491C2211yescharacteristic
86#19098489C2211yescharacteristic
87#19098489C2211yescharacteristic
88#19098488C2211yescharacteristic
89#19098488C2211yescharacteristic
90#19098486C2211yescharacteristic, complemented
91#19098486C2211yescharacteristic, complemented
92#19098486C2211yescharacteristic, complemented
93#19098484C2211yescharacteristic, complemented
94#19098484C2211yescharacteristic, complemented
95#19098483C2211yescharacteristic, complemented
96#19098483C2211yescharacteristic, complemented
97#19098482C2211yescharacteristic, complemented
98#19098479C2211yescharacteristic
99#19098479C2211yescharacteristic
100#19098478C2211yescharacteristic
101#19098478C2211yescharacteristic
102#19098477C2211yescharacteristic
103#19098477C2211yescharacteristic
104#19098477C2211yescharacteristic, complemented
105#19098475C2211yescharacteristic, complemented
106#19098475C2211yescharacteristic, complemented
107#19098475C2211yescharacteristic, complemented
108#19098475C2211yescharacteristic, complemented
109#19098470C2211yescharacteristic, complemented
110#19098469C2211yescharacteristic, complemented
111#19098467C2211yescharacteristic, complemented
112#19098467C2211yescharacteristic, complemented
113#19098462C2211yescharacteristic, complemented
114#19098461C2211yescharacteristic, complemented
115#19098459C2211yescharacteristic, complemented
116#19098458C2211yescharacteristic, complemented
117#19098458C2211yescharacteristic, complemented
118#19098458C2211yescharacteristic, complemented
119#19098458C2211yescharacteristic, complemented
120#19098457C2211yescharacteristic
121#19098456C2211yescharacteristic
122#19098456C2211yescharacteristic, complemented
123#19098456C2211yescharacteristic, complemented
124#19098455C2211yescharacteristic
125#19098454C2211yescharacteristic
126#19098453C2211yescharacteristic
127#19098452C2211yescharacteristic
128#19098451C2211yescharacteristic
129#19098451C2211yescharacteristic, complemented
130#19098451C2211yescharacteristic, complemented
131#19098449C2211yescharacteristic, complemented
132#19098448C2211yescharacteristic, complemented
133#19098445C2211yescharacteristic, complemented
134#19098444C2211yescharacteristic, complemented
135#19098443C2211yescharacteristic
136#19098439C2211yescharacteristic
137#19098439C2211yescharacteristic
138#19098439C2211yescharacteristic
139#19098439C2211yescharacteristic
140#19098439C2211yescharacteristic
141#19098439C2211yescharacteristic
142#19098439C2211yescharacteristic
143#19098439C2211yescharacteristic
144#19098439C2211yescharacteristic
145#19098439C2211yescharacteristic
146#19098438C2211yescharacteristic
147#19098438C2211yescharacteristic, complemented
148#19098437C2211yescharacteristic
149#19098437C2211yescharacteristic
150#19098437C2211yescharacteristic
151#19098437C2211yescharacteristic
152#19098436C2211yescharacteristic
153#19098436C2211yescharacteristic, complemented
154#19098435C2211yescharacteristic, complemented
155#19098434C2211yescharacteristic
156#19098434C2211yescharacteristic
157#19098434C2211yescharacteristic
158#19098434C2211yescharacteristic
159#19098434C2211yescharacteristic
160#19098434C2211yescharacteristic
161#19098426C2211yescharacteristic
162#19098425C2211yescharacteristic
163#19098425C2211yescharacteristic
164#19098424C2211yescharacteristic
165#19098423C2211yescharacteristic, complemented
166#19098422C2211yescharacteristic
167#19098421C2211yescharacteristic, complemented
168#19098421C2211yescharacteristic, complemented
169#19098420C2211yescharacteristic
170#19098418C2211yescharacteristic
171#19098418C2211yescharacteristic
172C4×(C2×D79)⋊C4C2211yescharacteristic
173#19098410C2211yescharacteristic
174C2×#124×C79C2211yescharacteristic, complemented
175C2×#123×C79C2211yescharacteristic
176C2×C22⋊Q8×C79C2211yescharacteristic
177C2×#121×C79C2211yescharacteristic
178#399×C79C2211yescharacteristic, complemented
179#396×C79C2211yescharacteristic, complemented
180#395×C79C2211yescharacteristic, complemented
181#394×C79C2211yescharacteristic
182#394×C79C2211yescharacteristic
183#394×C79C2211yescharacteristic, complemented
184#389×C79C2211yescharacteristic, complemented
185#388×C79C2211yescharacteristic
186#386×C79C2211yescharacteristic
187#385×C79C2211yescharacteristic, complemented
188#380×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×Dic158C2311yescharacteristic
193C22×Dic158C2311yescharacteristic
194C2×Q8×D79—24no—
195C2×Q8×D79—42no—
196C2×Q8×D79—42no—
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C22×C4×D79—24no—
204C22×C4×D79—42no—
205C22×C4×D79—42no—
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214#14579160—42no—
215#14579160—42no—
216#14579156—24no—
217#14579154—24no—
218#14579148—24no—
219#14579148—42no—
220#14579147—24no—
221#14579144—24no—
222#14579143—42no—
223#14579143—42no—
224#14579142—24no—
225#14579142—42no—
226#14579141—24no—
227#14579140—24no—
228#14579139—24no—
229#14579139—24no—
230#14579139—24no—
231#14579138—24no—
232#14579138—24no—
233#14579137—24no—
234#14579133—24no—
235#14579132—24no—
236#14579129—24no—
237#14579129—24no—
238C4×C22⋊D79—24no—
239(C22⋊D79)⋊C4—24no—
240C2×C4⋊Dic79C2311yescharacteristic
241C2×C4⋊Dic79C2311yescharacteristic
242C2×C4⋊Dic79C2311yescharacteristic
243C2×C4⋊Dic79C2311yescharacteristic
244C2×C4⋊Dic79C2311yescharacteristic
245C2×C4⋊Dic79C2311yescharacteristic
246C2×C4⋊Dic79C2311yescharacteristic
247C2×C4⋊Dic79C2311yescharacteristic
248C2×C4⋊Dic79C2311yescharacteristic
249C2×Dic79⋊C4C2311yescharacteristic
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×Dic79⋊C4C2311yescharacteristic
268C2×Dic79⋊C4C2311yescharacteristic
269C4⋊C4×D79—24no—
270C4⋊C4×D79—24no—
271C4⋊C4×D79—24no—
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×C22⋊Dic79C2311yescharacteristic
283C2×C22⋊Dic79C2311yescharacteristic
284C2×C22⋊Dic79C2311yescharacteristic
285C2×C22⋊Dic79C2311yescharacteristic
286C2×C22⋊Dic79C2311yescharacteristic
287C2×C22⋊Dic79C2311yescharacteristic
288C2×C22⋊Dic79C2311yescharacteristic
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
305C22⋊C4×D79—24no—
306C22⋊C4×D79D418yes—
307C2×C4×Dic79C2311yescharacteristic
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
310C2×C4×Dic79C2311yescharacteristic
311C2×C4×Dic79C2311yescharacteristic
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
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C79⋊#95C2311yescharacteristic
343C79⋊#95C2311yescharacteristic
344C79⋊#95C2311yescharacteristic
345C79⋊#95C2311yescharacteristic
346C22×Q8×C79C2311yescharacteristic
347C22×D4×C79C2311yescharacteristic
348C22×D4×C79C2311yescharacteristic
349C22×D4×C79C2311yescharacteristic
350C23×C4×C79C2311yescharacteristic
351C23×C4×C79C2311yescharacteristic
352#124×C79—42no—
353#123×C79—42no—
354C22⋊Q8×C79—24no—
355#121×C79—24no—
356C2×C4⋊C4×C79C2311yescharacteristic
357C2×C4⋊C4×C79C2311yescharacteristic
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×C22⋊C4×C79C2311yescharacteristic
366C2×C22⋊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×C42×C79C2311yescharacteristic
379#95×C79C2311yescharacteristic
380#95×C79C2311yescharacteristic
381#95×C79C2311yescharacteristic
382#95×C79C2311yescharacteristic
383#95×C79C2311yescharacteristic
384#95×C79C2311yescharacteristic
385C23×D79—22no—
386C23×D79—22no—
387C23×D79—41no—
388C23×D79—41no—
389C23×D79—41no—
390C23×D79—41no—
391C23×D79C2×D414yes—
392C23×D79C2411yescharacteristic
393C23×D79C2411yescharacteristic
394C2×Dic158—22no—
395C2×Dic158—22no—
396C2×Dic158—22no—
397C2×Dic158—22no—
398C2×Dic158—22no—
399C2×Dic158—22no—
400C2×Dic158—22no—
401C2×Dic158—41no—
402C2×Dic158—41no—
403C2×Dic158—41no—
404C2×Dic158—41no—
405C2×Dic158—41no—
406Q8×D79—416no—
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—41no—
416C2×C22⋊D79—41no—
417C2×C22⋊D79—41no—
418C2×C22⋊D79—41no—
419C22×Dic79—22no—
420C22×Dic79—22no—
421C22×Dic79—22no—
422C22×Dic79—41no—
423C22×Dic79—41no—
424C22×Dic79—41no—
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
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—22no—
446C2×C4×D79—22no—
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×D79—416no—
462C2×C4×D79C2×D414yes—
463C2×C4×D79C2×D414yes—
464C4⋊Dic79—22no—
465C4⋊Dic79—22no—
466C4⋊Dic79—22no—
467C4⋊Dic79—22no—
468C4⋊Dic79—22no—
469C4⋊Dic79—41no—
470C4⋊Dic79—41no—
471C4⋊Dic79—41no—
472C4⋊Dic79—41no—
473Dic79⋊C4—22no—
474Dic79⋊C4—22no—
475Dic79⋊C4—22no—
476Dic79⋊C4—22no—
477Dic79⋊C4—22no—
478Dic79⋊C4—22no—
479Dic79⋊C4—22no—
480Dic79⋊C4—22no—
481Dic79⋊C4—22no—
482Dic79⋊C4—22no—
483Dic79⋊C4—22no—
484Dic79⋊C4—22no—
485Dic79⋊C4—41no—
486Dic79⋊C4—41no—
487Dic79⋊C4—41no—
488Dic79⋊C4—41no—
489Dic79⋊C4—41no—
490Dic79⋊C4—41no—
491Dic79⋊C4—41no—
492Dic79⋊C4—41no—
493C22⋊Dic79—22no—
494C22⋊Dic79—22no—
495C22⋊Dic79—22no—
496C22⋊Dic79—22no—
497C22⋊Dic79—22no—
498C22⋊Dic79—22no—
499C22⋊Dic79—22no—
500C22⋊Dic79—22no—
501C22⋊Dic79—41no—
502C22⋊Dic79—41no—
503C22⋊Dic79—41no—
504C22⋊Dic79—41no—
505C22⋊Dic79—41no—
506C22⋊Dic79—41no—
507C22⋊Dic79—41no—
508C22⋊Dic79—41no—
509C22⋊Dic79C2×D414yes—
510(C2×D79)⋊C4—22no—
511(C2×D79)⋊C4—22no—
512(C2×D79)⋊C4—22no—
513(C2×D79)⋊C4—22no—
514(C2×D79)⋊C4—22no—
515(C2×D79)⋊C4—22no—
516(C2×D79)⋊C4—22no—
517(C2×D79)⋊C4—22no—
518(C2×D79)⋊C4—22no—
519(C2×D79)⋊C4—22no—
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—
525(C2×D79)⋊C4C2×D414yes—
526C4×Dic79—22no—
527C4×Dic79—22no—
528C4×Dic79—41no—
529C4×Dic79—41no—
530C4×Dic79—41no—
531C24×C79C2411yescharacteristic
532C24×C79C2411yescharacteristic
533C24×C79C2411yescharacteristic
534C2×Q8×C79—22no—
535C2×Q8×C79—22no—
536C2×Q8×C79—41no—
537C2×D4×C79—22no—
538C2×D4×C79—22no—
539C2×D4×C79—22no—
540C2×D4×C79—41no—
541C2×D4×C79—41no—
542C2×D4×C79—41no—
543C2×D4×C79—41no—
544C2×D4×C79—41no—
545C2×D4×C79—41no—
546C22×C4×C79—22no—
547C22×C4×C79—22no—
548C22×C4×C79—22no—
549C22×C4×C79—41no—
550C22×C4×C79—41no—
551C22×C4×C79—41no—
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C22×C4×C79C2411yescharacteristic
559C22×C4×C79C2411yescharacteristic
560C22×C4×C79C2411yescharacteristic
561C22×C4×C79C2411yescharacteristic
562C22×C4×C79C2411yescharacteristic
563C22×C4×C79C2411yescharacteristic
564C4⋊C4×C79—22no—
565C4⋊C4×C79—22no—
566C4⋊C4×C79—22no—
567C4⋊C4×C79—22no—
568C4⋊C4×C79—22no—
569C4⋊C4×C79—41no—
570C4⋊C4×C79—41no—
571C4⋊C4×C79—41no—
572C4⋊C4×C79—41no—
573C22⋊C4×C79—22no—
574C22⋊C4×C79—22no—
575C22⋊C4×C79—22no—
576C22⋊C4×C79—22no—
577C22⋊C4×C79—41no—
578C22⋊C4×C79—41no—
579C22⋊C4×C79—41no—
580C22⋊C4×C79—41no—
581C22⋊C4×C79—41no—
582C22⋊C4×C79—41no—
583C22⋊C4×C79—41no—
584C22⋊C4×C79—41no—
585C22⋊C4×C79C2×D414yes—
586C42×C79—41no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79—21no—
596C23×C79—21no—
597C23×C79—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×C79C22×D412yes—
608C23×C79C2511yescharacteristic
609C22×D79—21no—
610C22×D79—21no—
611C22×D79—21no—
612C22×D79—21no—
613C22×D79—21no—
614C22×D79—21no—
615C22×D79—21no—
616C22×D79—21no—
617C22×D79—21no—
618C22×D79—21no—
619C22×D79—28no—
620C22×D79—44no—
621C22×D79—44no—
622C22×D79—44no—
623C22×D79—44no—
624C22×D79—44no—
625C22×D79—44no—
626C22×D79C22×D412yes—
627C22×D79C22×D412yes—
628C22×D792−1+412yes—
629C22×D792−1+412yes—
630Q8×C79—44no—
631D4×C79—82no—
632D4×C79—82no—
633D4×C79—82no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—44no—
668C2×C4×C79—82no—
669C2×C4×C79C22×D412yes—
670C2×C4×C79C22×D412yes—
671C2×C4×C79H(5,𝔽2)12yes—
672C22⋊D79—44no—
673C22⋊D79—44no—
674C22⋊D79—82no—
675C22⋊D79—82no—
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—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—44no—
716C2×Dic79—82no—
717C2×Dic79C22×D412yes—
718C2×Dic79C22×D412yes—
719C2×Dic79H(5,𝔽2)12yes—
720C4×D79—28no—
721C4×D79—44no—
722C4×D79—44no—
723C4×D79—44no—
724C4×D79—44no—
725C4×D79—44no—
726C4×D79—44no—
727C4×D79—44no—
728Dic158—44no—
729Dic158—44no—
730Dic158—44no—
731Dic158—82no—
732C22×C79—22no—
733C22×C79—22no—
734C22×C79—22no—
735C22×C79—41no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79—41no—
743C22×C79—41no—
744C22×C79—41no—
745C22×C79—41no—
746C22×C79—41no—
747C22×C79—41no—
748C22×C79—41no—
749C22×C79—41no—
750C22×C79—41no—
751C22×C79—41no—
752C22×C79—41no—
753C22×C79C23×D411yescharacteristic
754C22×C79C2×H(5,𝔽2)11yescharacteristic
755C22×C79C2×H(5,𝔽2)11yescharacteristic
756C22×C79C2×2−1+411yescharacteristic
757C22×C79C2×2−1+411yescharacteristic
758C22×C79#58511yescharacteristic
759C22×C79#58511yescharacteristic
760C2×D79—22no—
761C2×D79—22no—
762C2×D79—22no—
763C2×D79—22no—
764C2×D79—22no—
765C2×D79—22no—
766C2×D79—22no—
767C2×D79—22no—
768C2×D79—22no—
769C2×D79—416no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—41no—
773C2×D79—41no—
774C2×D79#53614yes—
775C4×C79—22no—
776C4×C79—22no—
777C4×C79—22no—
778C4×C79—41no—
779C4×C79—41no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79—41no—
787Dic79—22no—
788Dic79—22no—
789Dic79—22no—
790Dic79—41no—
791Dic79—41no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800Dic79—41no—
801#36705—791nomaximal, Sylow
802C2×C79—42no—
803C2×C79—81no—
804C2×C79—81no—
805C2×C79C2×#53611yescharacteristic
806C2×C79#348411yescharacteristic
807C2×C79#348511yescharacteristic
808C2×C79#354111yescharacteristic
809C2×C79#354111yescharacteristic
810C2×C79#354111yescharacteristic
811C2×C79#354111yescharacteristic
812D79—24no—
813D79—42no—
814C2×#538—791no—
815C22×C22⋊Q8—791no—
816#2849—791no—
817#2849—791no—
818#2689—791no—
819#2689—791no—
820#2689—791no—
821#2689—791no—
822#2687—791no—
823#2687—791no—
824#2687—791no—
825#2687—791no—
826#2674—791no—
827#2674—791no—
828#2674—791no—
829#2674—791no—
830#2672—791no—
831#2672—791no—
832#2672—791no—
833#2672D7911yescharacteristic, complemented
834#2622—791no—
835#2622—791no—
836#2591—791no—
837#2583—791no—
838#2579—791no—
839#2579—791no—
840#2487—791no—
841#2487—791no—
842#2436—791no—
843#2434—791no—
844#2312—791no—
845C79#3670511yescharacteristic, complemented, Sylow
846C23×Q8—791no—
847C24×C4—791no—
848#538—1588no—
849C2×C4⋊Q8—791no—
850C2×C4⋊Q8—791no—
851C2×#126—791no—
852C2×#126—791no—
853C2×#124—791no—
854C2×#124—791no—
855C2×#124—791no—
856C2×#124C2×D7911yescharacteristic, complemented
857C2×#123—791no—
858C2×#123—791no—
859C2×#123—791no—
860C2×#123—791no—
861C2×#123—791no—
862C2×#123C2×D7911yescharacteristic
863C2×C22⋊Q8—791no—
864C2×C22⋊Q8—791no—
865C2×C22⋊Q8—791no—
866C2×C22⋊Q8—791no—
867C2×C22⋊Q8—791no—
868C2×C22⋊Q8—791no—
869C2×C22⋊Q8—791no—
870C2×C22⋊Q8—791no—
871C2×C22⋊Q8—1588no—
872C2×C22⋊Q8C2×D7911yescharacteristic
873C2×#121—791no—
874C2×#121—791no—
875C2×#121C2×D7911yescharacteristic
876C2×#120—791no—
877C2×#120—791no—
878C2×C4×D4—791no—
879C2×C4×D4—791no—
880C22×C4⋊C4—791no—
881C22×C4⋊C4—791no—
882C22×C4⋊C4—791no—
883C22×C22⋊C4—791no—
884C22×C22⋊C4—791no—
885#400—791no—
886#400—791no—
887#400—791no—
888#400—791no—
889#400—791no—
890#400—791no—
891#399—791no—
892#399—791no—
893#399—791no—
894#399C2×D7911yescharacteristic, complemented
895#398—791no—
896#398—791no—
897#398—791no—
898#398—791no—
899#398—791no—
900#398—791no—
901#397—791no—
902#397—791no—
903#397—791no—
904#397—791no—
905#397—791no—
906#397—791no—
907#397—791no—
908#397—791no—
909#396—791no—
910#396—791no—
911#396—791no—
912#396C2×D7911yescharacteristic, complemented
913#395—791no—
914#395—791no—
915#395—791no—
916#395—791no—
917#395—791no—
918#395C2×D7911yescharacteristic, complemented
919#394—791no—
920#394—791no—
921#394—791no—
922#394—791no—
923#394—791no—
924#394—791no—
925#394—791no—
926#394C2×D7911yescharacteristic
927#394C2×D7911yescharacteristic
928#394C2×D7911yescharacteristic, complemented
929#393—791no—
930#393—791no—
931#393—791no—
932#393—791no—
933#391—791no—
934#391—791no—
935#391—791no—
936#391—791no—
937#389—791no—
938#389—791no—
939#389—791no—
940#389—791no—
941#389—791no—
942#389—791no—
943#389—791no—
944#389C2×D7911yescharacteristic, complemented
945#388—791no—
946#388—791no—
947#388—791no—
948#388—791no—
949#388—791no—
950#388—791no—
951#388—791no—
952#388—791no—
953#388—791no—
954#388—791no—
955#388—791no—
956#388C2×D7911yescharacteristic
957#387—791no—
958#387—791no—
959#387—791no—
960#387—791no—
961#386—791no—
962#386—791no—
963#386—791no—
964#386—791no—
965#386—791no—
966#386—791no—
967#386—791no—
968#386—791no—
969#386—791no—
970#386—791no—
971#386—791no—
972#386C2×D7911yescharacteristic
973#385—791no—
974#385—791no—
975#385—791no—
976#385—791no—
977#385—791no—
978#385—791no—
979#385—791no—
980#385—791no—
981#385—791no—
982#385—791no—
983#385—791no—
984#385—791no—
985#385—791no—
986#385—791no—
987#385—791no—
988#385C2×D7911yescharacteristic, complemented
989#381—791no—
990#381—791no—
991#381—791no—
992#381—791no—
993#380—791no—
994#380—791no—
995#380—791no—
996#380—791no—
997#380—791no—
998#380C2×D7911yescharacteristic, complemented
999#379—791no—
1000#379—791no—
1001C4×C22⋊C4—791no—
1002C4×C22⋊C4—791no—
1003C25—791no—
1004C22×Q8—3162no—
1005C22×Q8—3162no—
1006C22×Q8—791no—
1007C22×Q8—791no—
1008C22×Q8—791no—
1009C22×Q8—791no—
1010C22×Q8—1584no—
1011C22×Q8C22×D7911yescharacteristic
1012C22×D4—791no—
1013C22×D4—791no—
1014C22×D4—791no—
1015C22×D4—791no—
1016C22×D4C22×D7911yescharacteristic
1017C22×D4C22×D7911yescharacteristic
1018C22×D4C22×D7911yescharacteristic
1019C23×C4—3162no—
1020C23×C4—3162no—
1021C23×C4—791no—
1022C23×C4—791no—
1023C23×C4—791no—
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4—791no—
1027C23×C4—791no—
1028C23×C4—791no—
1029C23×C4—791no—
1030C23×C4—791no—
1031C23×C4—1584no—
1032C23×C4C22×D7911yescharacteristic
1033C23×C4C22×D7911yescharacteristic
1034C4⋊Q8—3162no—
1035C4⋊Q8—3162no—
1036#126—1584no—
1037#126—1584no—
1038#124—42no—
1039#124—3162no—
1040#124—1584no—
1041#124—1584no—
1042#123—42no—
1043#123—3162no—
1044#123—3162no—
1045#123—3162no—
1046#123—1584no—
1047#123—1584no—
1048C22⋊Q8—24no—
1049C22⋊Q8—1584no—
1050C22⋊Q8—1584no—
1051C22⋊Q8—1584no—
1052C22⋊Q8—1584no—
1053C22⋊Q8—1584no—
1054C22⋊Q8—1584no—
1055C22⋊Q8—1584no—
1056C22⋊Q8—1584no—
1057#121—24no—
1058#121—1584no—
1059#121—1584no—
1060#120—1584no—
1061#120—1584no—
1062C4×D4—1584no—
1063C4×D4—1584no—
1064C2×C4⋊C4—791no—
1065C2×C4⋊C4—791no—
1066C2×C4⋊C4—791no—
1067C2×C4⋊C4—791no—
1068C2×C4⋊C4—791no—
1069C2×C4⋊C4—791no—
1070C2×C4⋊C4—791no—
1071C2×C4⋊C4—791no—
1072C2×C4⋊C4—791no—
1073C2×C4⋊C4—791no—
1074C2×C4⋊C4—791no—
1075C2×C4⋊C4—791no—
1076C2×C4⋊C4—791no—
1077C2×C4⋊C4—791no—
1078C2×C4⋊C4—791no—
1079C2×C4⋊C4—791no—
1080C2×C4⋊C4—791no—
1081C2×C4⋊C4—791no—
1082C2×C4⋊C4—791no—
1083C2×C4⋊C4—791no—
1084C2×C4⋊C4—791no—
1085C2×C4⋊C4—791no—
1086C2×C4⋊C4—791no—
1087C2×C4⋊C4—791no—
1088C2×C4⋊C4—791no—
1089C2×C4⋊C4—791no—
1090C2×C4⋊C4—791no—
1091C2×C4⋊C4—791no—
1092C2×C4⋊C4—791no—
1093C2×C4⋊C4—1584no—
1094C2×C4⋊C4—1584no—
1095C2×C4⋊C4—1584no—
1096C2×C4⋊C4C22×D7911yescharacteristic
1097C2×C4⋊C4C22×D7911yescharacteristic
1098C2×C4⋊C4C22×D7911yescharacteristic
1099C2×C4⋊C4C22×D7911yescharacteristic
1100C2×C4⋊C4C22×D7911yescharacteristic
1101C2×C4⋊C4C22×D7911yescharacteristic
1102C2×C4⋊C4C22×D7911yescharacteristic
1103C2×C4⋊C4C22×D7911yescharacteristic
1104C2×C4⋊C4C22×D7911yescharacteristic
1105C2×C22⋊C4—791no—
1106C2×C22⋊C4—791no—
1107C2×C22⋊C4—791no—
1108C2×C22⋊C4—791no—
1109C2×C22⋊C4—791no—
1110C2×C22⋊C4—791no—
1111C2×C22⋊C4—791no—
1112C2×C22⋊C4—791no—
1113C2×C22⋊C4—791no—
1114C2×C22⋊C4—791no—
1115C2×C22⋊C4—791no—
1116C2×C22⋊C4—791no—
1117C2×C22⋊C4—791no—
1118C2×C22⋊C4—791no—
1119C2×C22⋊C4—791no—
1120C2×C22⋊C4—798no—
1121C2×C22⋊C4—791no—
1122C2×C22⋊C4—791no—
1123C2×C22⋊C4—791no—
1124C2×C22⋊C4—791no—
1125C2×C22⋊C4—791no—
1126C2×C22⋊C4—791no—
1127C2×C22⋊C4—791no—
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—1584no—
1140C2×C22⋊C4C22×D7911yescharacteristic
1141C2×C22⋊C4C22×D7911yescharacteristic
1142C2×C22⋊C4C22×D7911yescharacteristic
1143C2×C22⋊C4C22×D7911yescharacteristic
1144C2×C22⋊C4C22×D7911yescharacteristic
1145C2×C22⋊C4C22×D7911yescharacteristic
1146C2×C22⋊C4C22×D7911yescharacteristic
1147C2×C22⋊C4C22×D7911yescharacteristic
1148C2×C22⋊C4C22×D7911yescharacteristic
1149C2×C22⋊C4C22×D7911yescharacteristic
1150C2×C22⋊C4C22×D7911yescharacteristic
1151C2×C22⋊C4C22×D7911yescharacteristic
1152C2×C22⋊C4C22×D7911yescharacteristic
1153C2×C42—791no—
1154C2×C42—791no—
1155C2×C42—791no—
1156C2×C42—791no—
1157C2×C42—791no—
1158C2×C42C22×D7911yescharacteristic
1159#95—791no—
1160#95—791no—
1161#95—791no—
1162#95—791no—
1163#95—791no—
1164#95—791no—
1165#95—791no—
1166#95—791no—
1167#95—791no—
1168#95—791no—
1169#95—791no—
1170#95—791no—
1171#95—791no—
1172#95—791no—
1173#95—791no—
1174#95—791no—
1175#95—791no—
1176#95—791no—
1177#95—791no—
1178#95—791no—
1179#95—791no—
1180#95—791no—
1181#95—791no—
1182#95—791no—
1183#95—791no—
1184#95—791no—
1185#95—791no—
1186#95—791no—
1187#95—791no—
1188#95—791no—
1189#95—791no—
1190#95—791no—
1191#95—791no—
1192#95—791no—
1193#95C22×D7911yescharacteristic
1194#95C22×D7911yescharacteristic
1195#95C22×D7911yescharacteristic
1196#95C22×D7911yescharacteristic
1197#95C22×D7911yescharacteristic
1198#95C22×D7911yescharacteristic
1199C24—3161no—
1200C24—3161no—
1201C24—3161no—
1202C24—3161no—
1203C24—794no—
1204C24—791no—
1205C24—791no—
1206C24—1582no—
1207C24—1582no—
1208C24C23×D7911yescharacteristic
1209C24C23×D7911yescharacteristic
1210C24C23×D7911yescharacteristic
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—41no—
1214C2×Q8—3161no—
1215C2×Q8—3161no—
1216C2×Q8—3161no—
1217C2×Q8—3161no—
1218C2×Q8—3161no—
1219C2×Q8—31616no—
1220C2×Q8—1582no—
1221C2×Q8—1582no—
1222C2×Q8—1582no—
1223C2×Q8—1582no—
1224C2×Q8—1582no—
1225C2×Q8—1582no—
1226C2×Q8—1582no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—3161no—
1237C2×D4—3161no—
1238C2×D4—3161no—
1239C2×D4—3161no—
1240C2×D4—1582no—
1241C2×D4—1582no—
1242C2×D4—1582no—
1243C2×D4—1582no—
1244C2×D4—1582no—
1245C2×D4—1582no—
1246C2×D4—1582no—
1247C2×D4—1582no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
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—31616no—
1267C22×C4—3161no—
1268C22×C4—3161no—
1269C22×C4—3161no—
1270C22×C4—794no—
1271C22×C4—794no—
1272C22×C4—791no—
1273C22×C4—791no—
1274C22×C4—791no—
1275C22×C4—791no—
1276C22×C4—791no—
1277C22×C4—791no—
1278C22×C4—791no—
1279C22×C4—791no—
1280C22×C4—791no—
1281C22×C4—791no—
1282C22×C4—791no—
1283C22×C4—791no—
1284C22×C4—791no—
1285C22×C4—791no—
1286C22×C4—1582no—
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×C4—1582no—
1296C22×C4—1582no—
1297C22×C4—1582no—
1298C22×C4—1582no—
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
1309C22×C4C23×D7911yescharacteristic
1310C22×C4C23×D7911yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—3161no—
1321C4⋊C4—3161no—
1322C4⋊C4—3161no—
1323C4⋊C4—3161no—
1324C4⋊C4—3161no—
1325C4⋊C4—3161no—
1326C4⋊C4—3161no—
1327C4⋊C4—3161no—
1328C4⋊C4—3161no—
1329C4⋊C4—3161no—
1330C4⋊C4—3161no—
1331C4⋊C4—3161no—
1332C4⋊C4—1582no—
1333C4⋊C4—1582no—
1334C4⋊C4—1582no—
1335C4⋊C4—1582no—
1336C4⋊C4—1582no—
1337C4⋊C4—1582no—
1338C4⋊C4—1582no—
1339C4⋊C4—1582no—
1340C4⋊C4—1582no—
1341C4⋊C4—1582no—
1342C4⋊C4—1582no—
1343C4⋊C4—1582no—
1344C4⋊C4—1582no—
1345C4⋊C4—1582no—
1346C4⋊C4—1582no—
1347C4⋊C4—1582no—
1348C4⋊C4—1582no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—3161no—
1366C22⋊C4—3161no—
1367C22⋊C4—3161no—
1368C22⋊C4—3161no—
1369C22⋊C4—3161no—
1370C22⋊C4—3161no—
1371C22⋊C4—3161no—
1372C22⋊C4—3161no—
1373C22⋊C4—794no—
1374C22⋊C4—794no—
1375C22⋊C4—794no—
1376C22⋊C4—1582no—
1377C22⋊C4—1582no—
1378C22⋊C4—1582no—
1379C22⋊C4—1582no—
1380C22⋊C4—1582no—
1381C22⋊C4—1582no—
1382C22⋊C4—1582no—
1383C22⋊C4—1582no—
1384C22⋊C4—1582no—
1385C22⋊C4—1582no—
1386C22⋊C4—1582no—
1387C22⋊C4—1582no—
1388C22⋊C4—1582no—
1389C22⋊C4—1582no—
1390C22⋊C4—1582no—
1391C22⋊C4—1582no—
1392C22⋊C4—1582no—
1393C22⋊C4—1582no—
1394C22⋊C4D4×D7914yes—
1395C42—41no—
1396C42—3161no—
1397C42—3161no—
1398C42—3161no—
1399C42—1582no—
1400C42—1582no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—3164no—
1422C23—3164no—
1423C23—3164no—
1424C23—3164no—
1425C23—3164no—
1426C23—3164no—
1427C23—792no—
1428C23—792no—
1429C23—792no—
1430C23—792no—
1431C23—1588no—
1432C23—1581no—
1433C23—1581no—
1434C23—1581no—
1435C23—1581no—
1436C23—1581no—
1437C23—1581no—
1438C23—1581no—
1439C23—1581no—
1440C23—1581no—
1441C23—1581no—
1442C23C2×D4×D7912yes—
1443C23C24×D7911yescharacteristic
1444Q8—44no—
1445Q8—3164no—
1446Q8—3164no—
1447Q8—3164no—
1448Q8—6322no—
1449D4—82no—
1450D4—82no—
1451D4—82no—
1452D4—3164no—
1453D4—3164no—
1454D4—6322no—
1455D4—6322no—
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—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—44no—
1490C2×C4—82no—
1491C2×C4—3164no—
1492C2×C4—3164no—
1493C2×C4—3164no—
1494C2×C4—3164no—
1495C2×C4—3164no—
1496C2×C4—3164no—
1497C2×C4—3164no—
1498C2×C4—3164no—
1499C2×C4—792no—
1500C2×C4—792no—
1501C2×C4—792no—
1502C2×C4—6322no—
1503C2×C4—1588no—
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—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×C4—1581no—
1538C2×C4—1581no—
1539C2×C4—1581no—
1540C2×C4—1581no—
1541C2×C4—1581no—
1542C2×C4—1581no—
1543C2×C4C2×D4×D7912yes—
1544C2×C4C2×D4×D7912yes—
1545C2×C4#1457920612yes—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—31616no—
1568C22—3161no—
1569C22—3161no—
1570C22—3161no—
1571C22—3161no—
1572C22—794no—
1573C22—1582no—
1574C22—1582no—
1575C22—1582no—
1576C22—1582no—
1577C22—1582no—
1578C22—1582no—
1579C22—1582no—
1580C22—1582no—
1581C22—1582no—
1582C22C22×D4×D7911yescharacteristic
1583C22H(5,𝔽2)×D7911yescharacteristic
1584C22C2×#1457920611yescharacteristic
1585C222−1+4×D7911yescharacteristic
1586C222−1+4×D7911yescharacteristic
1587C22#1909939811yescharacteristic
1588C22#1909939911yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—3161no—
1602C4—3161no—
1603C4—3161no—
1604C4—3161no—
1605C4—3161no—
1606C4—3161no—
1607C4—3161no—
1608C4—3161no—
1609C4—3161no—
1610C4—3161no—
1611C4—3161no—
1612C4—1582no—
1613C4—1582no—
1614C4—1582no—
1615C2—42no—
1616C2—81no—
1617C2—81no—
1618C2—3162no—
1619C2—1584no—
1620C2#536×D7911yescharacteristic
1621C2#2377702811yescharacteristic
1622C2#2377703711yescharacteristic
1623C2#2377768111yescharacteristic
1624C2#2377768211yescharacteristic
1625C2#2377768311yescharacteristic
1626C2#2377768411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2672C2
prime radicalC2×#19099145C2
hypercenter#2672D79
hypocenterC79#36705
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
2. C2×C22⋊Q8×D79C2semidirect
3. #23771691C2semidirect
4. #23771689C2semidirect
5. #23769850C2semidirect
6. #23769849C2semidirect
7. #23769848C2semidirect
8. #23769847C2semidirect
9. #23769827C2semidirect
10. #23769825C2semidirect
11. #23769824C2semidirect
12. #23769822C2semidirect
13. #23769688C2semidirect
14. #23769686C2semidirect
15. #23769683C2semidirect
16. #23769681C2semidirect
17. #23769646C2semidirect
18. #23769645C2semidirect
19. #23769644C2semidirect
20. #23769172C2semidirect
21. #23769172C2semidirect
22. #23768874C2semidirect
23. #23768778C2semidirect
24. #23768745C2semidirect
25. #23768742C2semidirect
26. #23767713C2semidirect
27. #23767710C2semidirect
28. #23767055C2semidirect
29. #23767039C2semidirect
30. #23765994C2semidirect
31. C79×#2672C2semidirect
35. C2×#14579160C22semidirect
36. C2×#14579160C22semidirect
40. C2×#14579148C22semidirect
67. #19098504C22semidirect
68. #19098504C22semidirect
69. #19098503C22semidirect
70. #19098503C22semidirect
71. #19098502C22semidirect
72. #19098501C22semidirect
73. #19098499C22semidirect
74. #19098499C22semidirect
75. #19098499C22semidirect
76. #19098497C22semidirect
77. #19098497C22semidirect
78. #19098496C22semidirect
79. #19098496C22semidirect
80. #19098494C22semidirect
81. #19098493C22semidirect
90. #19098486C22semidirect
91. #19098486C22semidirect
92. #19098486C22semidirect
93. #19098484C22semidirect
94. #19098484C22semidirect
95. #19098483C22semidirect
96. #19098483C22semidirect
97. #19098482C22semidirect
104. #19098477C22semidirect
105. #19098475C22semidirect
106. #19098475C22semidirect
107. #19098475C22semidirect
108. #19098475C22semidirect
109. #19098470C22semidirect
110. #19098469C22semidirect
111. #19098467C22semidirect
112. #19098467C22semidirect
113. #19098462C22semidirect
114. #19098461C22semidirect
115. #19098459C22semidirect
116. #19098458C22semidirect
117. #19098458C22semidirect
118. #19098458C22semidirect
119. #19098458C22semidirect
122. #19098456C22semidirect
123. #19098456C22semidirect
129. #19098451C22semidirect
130. #19098451C22semidirect
131. #19098449C22semidirect
132. #19098448C22semidirect
133. #19098445C22semidirect
134. #19098444C22semidirect
147. #19098438C22semidirect
153. #19098436C22semidirect
154. #19098435C22semidirect
165. #19098423C22semidirect
167. #19098421C22semidirect
168. #19098421C22semidirect
174. C2×#124×C79C22semidirect
178. #399×C79C22semidirect
179. #396×C79C22semidirect
180. #395×C79C22semidirect
183. #394×C79C22semidirect
184. #389×C79C22semidirect
187. #385×C79C22semidirect
188. #380×C79C22semidirect
833. #2672D79semidirect
845. C79#36705semidirect
856. C2×#124C2×D79semidirect
894. #399C2×D79semidirect
912. #396C2×D79semidirect
918. #395C2×D79semidirect
928. #394C2×D79semidirect
944. #389C2×D79semidirect
988. #385C2×D79semidirect
998. #380C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991452
C2×C22⋊Q8×D792
#237716912
#237716892
#237698502
#237698492
#237698482
#237698472
#237698272
#237698252
#237698242
#237698222
#237696882
#237696862
#237696832
#237696812
#237696462
#237696452
#237696442
#237691722
#237688742
#237687782
#237687452
#237687422
#237677132
#237677102
#237670552
#237670392
#237659942
C79×#26722
#3670579