Finite Group Databasebeta

← #34501915

Subgroups — #34501915

Order 20224.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1588 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099147C211yesmaximal, characteristic
2C2×#126×D79C211yesmaximal, characteristic, complemented
3#23771741C211yesmaximal, characteristic, complemented
4#23771727C211yesmaximal, characteristic, complemented
5#23770310C211yesmaximal, characteristic, complemented
6#23770308C211yesmaximal, characteristic, complemented
7#23770307C211yesmaximal, characteristic, complemented
8#23770305C211yesmaximal, characteristic, complemented
9#23770213C211yesmaximal, characteristic, complemented
10#23770211C211yesmaximal, characteristic, complemented
11#23770205C211yesmaximal, characteristic, complemented
12#23769942C211yesmaximal, characteristic, complemented
13#23769938C211yesmaximal, characteristic, complemented
14#23769933C211yesmaximal, characteristic, complemented
15#23769929C211yesmaximal, characteristic, complemented
16#23769887C211yesmaximal, characteristic, complemented
17#23769883C211yesmaximal, characteristic, complemented
18#23769878C211yesmaximal, characteristic, complemented
19#23769874C211yesmaximal, characteristic, complemented
20#23769212C211yesmaximal, characteristic, complemented
21#23769147C211yesmaximal, characteristic, complemented
22#23768751C211yesmaximal, characteristic, complemented
23#23768742C211yesmaximal, characteristic, complemented
24#23767706C211yesmaximal, characteristic, complemented
25#23767701C211yesmaximal, characteristic, complemented
26#23766795C211yesmaximal, characteristic, complemented
27#23766793C211yesmaximal, characteristic, complemented
28#23766791C211yesmaximal, characteristic, complemented
29#23766789C211yesmaximal, characteristic, complemented
30#23766011C211yesmaximal, characteristic, complemented
31C79×#2715C211yesmaximal, characteristic, complemented
32#19099147—28no—
33C2×#14579156C2211yescharacteristic
34C2×#14579156C2211yescharacteristic
35C2×#14579156C2211yescharacteristic
36C2×#14579155C2211yescharacteristic
37C2×#14579155C2211yescharacteristic
38C2×#14579154C2211yescharacteristic
39C2×#14579154C2211yescharacteristic
40C2×#14579154C2211yescharacteristic
41C2×#14579154C2211yescharacteristic
42#126×D79—28no—
43C2×#14579150C2211yescharacteristic
44C2×#14579146C2211yescharacteristic
45C2×#14579146C2211yescharacteristic
46C2×#14579145C2211yescharacteristic
47C2×#14579143C2211yescharacteristic
48C2×#14579143C2211yescharacteristic
49C2×#14579143C2211yescharacteristic
50C2×#14579137C2211yescharacteristic
51C2×#14579134C2211yescharacteristic
52C2×#14579134C2211yescharacteristic
53C2×#14579133C2211yescharacteristic
54C2×#14579131C2211yescharacteristic
55C2×#14579129C2211yescharacteristic
56C2×C4×D316C2211yescharacteristic
57C2×(C22⋊D79)⋊C4C2211yescharacteristic
58C2×C4⋊C4×D79C2211yescharacteristic
59C2×C4⋊C4×D79C2211yescharacteristic
60C2×C4⋊C4×D79C2211yescharacteristic
61C22×(C2×D79)⋊C4C2211yescharacteristic
62C2×C22⋊C4×D79C2211yescharacteristic
63C2×C22⋊C4×D79C2211yescharacteristic
64C2×C22⋊C4×D79C2211yescharacteristic
65C2×C22⋊C4×D79C2211yescharacteristic
66C2×C42×D79C2211yescharacteristic
67#19098503C2211yescharacteristic, complemented
68#19098502C2211yescharacteristic, complemented
69#19098497C2211yescharacteristic, complemented
70#19098497C2211yescharacteristic, complemented
71#19098497C2211yescharacteristic, complemented
72#19098497C2211yescharacteristic, complemented
73#19098496C2211yescharacteristic, complemented
74#19098496C2211yescharacteristic, complemented
75#19098496C2211yescharacteristic, complemented
76#19098496C2211yescharacteristic, complemented
77#19098495C2211yescharacteristic, complemented
78#19098495C2211yescharacteristic, complemented
79#19098494C2211yescharacteristic, complemented
80#19098494C2211yescharacteristic, complemented
81#19098494C2211yescharacteristic, complemented
82#19098493C2211yescharacteristic, complemented
83#19098492C2211yescharacteristic
84#19098492C2211yescharacteristic
85#19098492C2211yescharacteristic, complemented
86#19098492C2211yescharacteristic, complemented
87#19098491C2211yescharacteristic
88#19098491C2211yescharacteristic
89#19098490C2211yescharacteristic
90#19098489C2211yescharacteristic
91#19098488C2211yescharacteristic
92#19098488C2211yescharacteristic, complemented
93#19098487C2211yescharacteristic, complemented
94#19098486C2211yescharacteristic, complemented
95#19098486C2211yescharacteristic, complemented
96#19098485C2211yescharacteristic, complemented
97#19098485C2211yescharacteristic, complemented
98#19098485C2211yescharacteristic, complemented
99#19098482C2211yescharacteristic, complemented
100#19098481C2211yescharacteristic
101#19098480C2211yescharacteristic
102#19098479C2211yescharacteristic
103#19098479C2211yescharacteristic
104#19098479C2211yescharacteristic, complemented
105#19098478C2211yescharacteristic
106#19098478C2211yescharacteristic
107#19098478C2211yescharacteristic, complemented
108#19098477C2211yescharacteristic
109#19098470C2211yescharacteristic, complemented
110#19098463C2211yescharacteristic, complemented
111#19098463C2211yescharacteristic, complemented
112#19098462C2211yescharacteristic, complemented
113#19098461C2211yescharacteristic, complemented
114#19098461C2211yescharacteristic, complemented
115#19098460C2211yescharacteristic, complemented
116#19098460C2211yescharacteristic, complemented
117#19098460C2211yescharacteristic, complemented
118#19098458C2211yescharacteristic, complemented
119#19098455C2211yescharacteristic, complemented
120#19098454C2211yescharacteristic, complemented
121#19098451C2211yescharacteristic, complemented
122#19098449C2211yescharacteristic, complemented
123#19098447C2211yescharacteristic, complemented
124#19098446C2211yescharacteristic, complemented
125#19098446C2211yescharacteristic, complemented
126#19098445C2211yescharacteristic, complemented
127#19098445C2211yescharacteristic, complemented
128#19098445C2211yescharacteristic, complemented
129#19098443C2211yescharacteristic
130#19098442C2211yescharacteristic
131#19098441C2211yescharacteristic
132#19098441C2211yescharacteristic
133#19098441C2211yescharacteristic
134#19098441C2211yescharacteristic
135#19098440C2211yescharacteristic
136#19098439C2211yescharacteristic
137#19098439C2211yescharacteristic
138#19098439C2211yescharacteristic
139#19098439C2211yescharacteristic
140#19098438C2211yescharacteristic
141#19098438C2211yescharacteristic, complemented
142#19098437C2211yescharacteristic
143#19098437C2211yescharacteristic
144#19098437C2211yescharacteristic
145#19098437C2211yescharacteristic
146#19098437C2211yescharacteristic, complemented
147#19098436C2211yescharacteristic
148#19098435C2211yescharacteristic
149#19098435C2211yescharacteristic, complemented
150#19098434C2211yescharacteristic
151#19098434C2211yescharacteristic
152#19098434C2211yescharacteristic
153#19098434C2211yescharacteristic
154#19098434C2211yescharacteristic, complemented
155#19098425C2211yescharacteristic
156#19098425C2211yescharacteristic
157#19098425C2211yescharacteristic
158#19098425C2211yescharacteristic
159#19098423C2211yescharacteristic
160#19098422C2211yescharacteristic
161#19098422C2211yescharacteristic
162#19098422C2211yescharacteristic
163#19098422C2211yescharacteristic
164#19098421C2211yescharacteristic
165#19098421C2211yescharacteristic
166#19098421C2211yescharacteristic, complemented
167#19098421C2211yescharacteristic, complemented
168#19098420C2211yescharacteristic
169#19098420C2211yescharacteristic
170#19098420C2211yescharacteristic
171#19098420C2211yescharacteristic
172#19098420C2211yescharacteristic, complemented
173#19098420C2211yescharacteristic, complemented
174C2×#126×C79C2211yescharacteristic
175C2×#124×C79C2211yescharacteristic
176#397×C79C2211yescharacteristic
177#397×C79C2211yescharacteristic, complemented
178#396×C79C2211yescharacteristic, complemented
179#396×C79C2211yescharacteristic, complemented
180#395×C79C2211yescharacteristic, complemented
181#394×C79C2211yescharacteristic
182#391×C79C2211yescharacteristic, complemented
183#389×C79C2211yescharacteristic, complemented
184#388×C79C2211yescharacteristic, complemented
185#387×C79C2211yescharacteristic, complemented
186#386×C79C2211yescharacteristic
187#385×C79C2211yescharacteristic
188#380×C79C2211yescharacteristic
189C24×D79C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C23×Dic79C2311yescharacteristic
197C23×Dic79C2311yescharacteristic
198C22×C4×D79C2311yescharacteristic
199C22×C4×D79C2311yescharacteristic
200C22×C4×D79C2311yescharacteristic
201C22×C4×D79C2311yescharacteristic
202C22×C4×D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207#14579156—24no—
208#14579156—24no—
209#14579156—24no—
210#14579155—24no—
211#14579155—24no—
212#14579154—24no—
213#14579154—24no—
214#14579154—24no—
215#14579154—24no—
216#14579150—24no—
217#14579146—42no—
218#14579146—42no—
219#14579145—24no—
220#14579143—24no—
221#14579143—42no—
222#14579143—42no—
223#14579137—24no—
224#14579134—24no—
225#14579134—24no—
226#14579133—24no—
227#14579131—24no—
228#14579129—24no—
229C4×D316—24no—
230(C22⋊D79)⋊C4—24no—
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×C4⋊Dic79C2311yescharacteristic
236C2×C4⋊Dic79C2311yescharacteristic
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×Dic79⋊C4C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
258C2×Dic79⋊C4C2311yescharacteristic
259C2×Dic79⋊C4C2311yescharacteristic
260C2×Dic79⋊C4C2311yescharacteristic
261C2×Dic79⋊C4C2311yescharacteristic
262C2×Dic79⋊C4C2311yescharacteristic
263C2×Dic79⋊C4C2311yescharacteristic
264C4⋊C4×D79—24no—
265C4⋊C4×D79—24no—
266C4⋊C4×D79—24no—
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×(C2×D79)⋊C4—42no—
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
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C22⋊C4×D79—24no—
304C22⋊C4×D79—24no—
305C22⋊C4×D79—42no—
306C22⋊C4×D79D418yes—
307C2×C4×Dic79C2311yescharacteristic
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
310C2×C4×Dic79C2311yescharacteristic
311C42×D79—24no—
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
342C22×Q8×C79C2311yescharacteristic
343C22×D4×C79C2311yescharacteristic
344C23×C4×C79C2311yescharacteristic
345#126×C79—24no—
346#124×C79—24no—
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×C4⋊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×C22⋊C4×C79C2311yescharacteristic
364C2×C22⋊C4×C79C2311yescharacteristic
365C2×C22⋊C4×C79C2311yescharacteristic
366C2×C22⋊C4×C79C2311yescharacteristic
367C2×C42×C79C2311yescharacteristic
368C2×C42×C79C2311yescharacteristic
369#95×C79C2311yescharacteristic
370#95×C79C2311yescharacteristic
371#95×C79C2311yescharacteristic
372#95×C79C2311yescharacteristic
373#95×C79C2311yescharacteristic
374#95×C79C2311yescharacteristic
375#95×C79C2311yescharacteristic
376#95×C79C2311yescharacteristic
377#95×C79C2311yescharacteristic
378#95×C79C2311yescharacteristic
379C23×D79—22no—
380C23×D79—22no—
381C23×D79—41no—
382C23×D79—41no—
383C23×D79—41no—
384C23×D79—41no—
385C23×D79C2×D414yes—
386C23×D79C2411yescharacteristic
387C23×D79C2411yescharacteristic
388C23×D79C2411yescharacteristic
389C2×D316—22no—
390C2×D316—22no—
391C2×D316—22no—
392C2×D316—22no—
393C2×D316—41no—
394C2×D316—41no—
395C2×C22⋊D79—22no—
396C2×C22⋊D79—22no—
397C2×C22⋊D79—22no—
398C2×C22⋊D79—22no—
399C2×C22⋊D79—22no—
400C2×C22⋊D79—22no—
401C2×C22⋊D79—41no—
402C2×C22⋊D79—41no—
403C2×C22⋊D79—41no—
404C2×C22⋊D79—41no—
405C2×C22⋊D79—41no—
406C2×C22⋊D79—41no—
407C22×Dic79—22no—
408C22×Dic79—41no—
409C22×Dic79—41no—
410C22×Dic79—41no—
411C22×Dic79—41no—
412C22×Dic79—41no—
413C22×Dic79C2411yescharacteristic
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C2×C4×D79—22no—
427C2×C4×D79—22no—
428C2×C4×D79—22no—
429C2×C4×D79—22no—
430C2×C4×D79—22no—
431C2×C4×D79—22no—
432C2×C4×D79—22no—
433C2×C4×D79—22no—
434C2×C4×D79—22no—
435C2×C4×D79—41no—
436C2×C4×D79—41no—
437C2×C4×D79—41no—
438C2×C4×D79—41no—
439C2×C4×D79—41no—
440C2×C4×D79—41no—
441C2×C4×D79—41no—
442C2×C4×D79—41no—
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×D79C2×D414yes—
452C2×C4×D79C2×D414yes—
453C4⋊Dic79—22no—
454C4⋊Dic79—22no—
455C4⋊Dic79—22no—
456C4⋊Dic79—22no—
457C4⋊Dic79—22no—
458C4⋊Dic79—41no—
459C4⋊Dic79—41no—
460C4⋊Dic79—41no—
461C4⋊Dic79—41no—
462C4⋊Dic79—41no—
463C4⋊Dic79—41no—
464Dic79⋊C4—22no—
465Dic79⋊C4—22no—
466Dic79⋊C4—22no—
467Dic79⋊C4—22no—
468Dic79⋊C4—22no—
469Dic79⋊C4—22no—
470Dic79⋊C4—22no—
471Dic79⋊C4—22no—
472Dic79⋊C4—22no—
473Dic79⋊C4—22no—
474Dic79⋊C4—41no—
475Dic79⋊C4—41no—
476Dic79⋊C4—41no—
477Dic79⋊C4—41no—
478Dic79⋊C4—41no—
479Dic79⋊C4—41no—
480Dic79⋊C4—41no—
481Dic79⋊C4—41no—
482Dic79⋊C4—41no—
483Dic79⋊C4—41no—
484Dic79⋊C4—41no—
485Dic79⋊C4—41no—
486C22⋊Dic79—22no—
487C22⋊Dic79—22no—
488C22⋊Dic79—22no—
489C22⋊Dic79—41no—
490C22⋊Dic79—41no—
491C22⋊Dic79—41no—
492C22⋊Dic79—41no—
493C22⋊Dic79—41no—
494C22⋊Dic79C2×D414yes—
495(C2×D79)⋊C4—22no—
496(C2×D79)⋊C4—22no—
497(C2×D79)⋊C4—22no—
498(C2×D79)⋊C4—22no—
499(C2×D79)⋊C4—22no—
500(C2×D79)⋊C4—22no—
501(C2×D79)⋊C4—22no—
502(C2×D79)⋊C4—22no—
503(C2×D79)⋊C4—22no—
504(C2×D79)⋊C4—22no—
505(C2×D79)⋊C4—22no—
506(C2×D79)⋊C4—22no—
507(C2×D79)⋊C4—22no—
508(C2×D79)⋊C4—22no—
509(C2×D79)⋊C4—41no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4—41no—
512(C2×D79)⋊C4—41no—
513(C2×D79)⋊C4—41no—
514(C2×D79)⋊C4—41no—
515(C2×D79)⋊C4—41no—
516(C2×D79)⋊C4—41no—
517(C2×D79)⋊C4—41no—
518(C2×D79)⋊C4—41no—
519(C2×D79)⋊C4C2×D414yes—
520(C2×D79)⋊C4C2×D414yes—
521C4×Dic79—22no—
522C4×Dic79—22no—
523C4×Dic79—22no—
524C4×Dic79—22no—
525C24×C79C2411yescharacteristic
526C24×C79C2411yescharacteristic
527C2×Q8×C79—22no—
528C2×Q8×C79—41no—
529C2×Q8×C79—41no—
530C2×D4×C79—22no—
531C2×D4×C79—41no—
532C2×D4×C79—41no—
533C22×C4×C79—41no—
534C22×C4×C79—41no—
535C22×C4×C79—41no—
536C22×C4×C79C2411yescharacteristic
537C22×C4×C79C2411yescharacteristic
538C22×C4×C79C2411yescharacteristic
539C22×C4×C79C2411yescharacteristic
540C22×C4×C79C2411yescharacteristic
541C22×C4×C79C2411yescharacteristic
542C22×C4×C79C2411yescharacteristic
543C22×C4×C79C2411yescharacteristic
544C22×C4×C79C2411yescharacteristic
545C22×C4×C79C2411yescharacteristic
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C22×C4×C79C2411yescharacteristic
549C4⋊C4×C79—22no—
550C4⋊C4×C79—22no—
551C4⋊C4×C79—22no—
552C4⋊C4×C79—41no—
553C4⋊C4×C79—41no—
554C4⋊C4×C79—41no—
555C4⋊C4×C79—41no—
556C4⋊C4×C79—41no—
557C4⋊C4×C79—41no—
558C22⋊C4×C79—22no—
559C22⋊C4×C79—22no—
560C22⋊C4×C79—22no—
561C22⋊C4×C79—22no—
562C22⋊C4×C79—22no—
563C22⋊C4×C79—41no—
564C22⋊C4×C79—41no—
565C22⋊C4×C79—41no—
566C22⋊C4×C79—41no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79C2×D414yes—
569C42×C79—22no—
570C42×C79—22no—
571C23×C79—21no—
572C23×C79—21no—
573C23×C79—21no—
574C23×C79—21no—
575C23×C79—21no—
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×C79C22×D412yes—
585C23×C79C2511yescharacteristic
586C22×D79—21no—
587C22×D79—21no—
588C22×D79—21no—
589C22×D79—21no—
590C22×D79—21no—
591C22×D79—21no—
592C22×D79—21no—
593C22×D79—21no—
594C22×D79—21no—
595C22×D79—21no—
596C22×D79—28no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—21no—
600C22×D79—21no—
601C22×D79—21no—
602C22×D79—21no—
603C22×D79—21no—
604C22×D79—44no—
605C22×D79—44no—
606C22×D79—82no—
607C22×D79—82no—
608C22×D79—82no—
609C22×D79—82no—
610C22×D79C22×D412yes—
611C22×D79C22×D412yes—
612C22×D79H(5,𝔽2)12yes—
613C22×D792−1+412yes—
614Q8×C79—82no—
615D4×C79—82no—
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—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—82no—
654C2×C4×C79C22×D412yes—
655C2×C4×C79C22×D412yes—
656C22⋊D79—44no—
657C22⋊D79—82no—
658C22⋊D79—82no—
659C22⋊D79—82no—
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—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—82no—
698C2×Dic79—82no—
699C2×Dic79C22×D412yes—
700C2×Dic79C22×D412yes—
701D316—44no—
702D316—82no—
703C4×D79—44no—
704C4×D79—44no—
705C4×D79—44no—
706C4×D79—44no—
707C4×D79—44no—
708C4×D79—44no—
709C4×D79—82no—
710C4×D79—82no—
711C4×D79—82no—
712C22×C79—22no—
713C22×C79—22no—
714C22×C79—22no—
715C22×C79—41no—
716C22×C79—41no—
717C22×C79—41no—
718C22×C79—41no—
719C22×C79—41no—
720C22×C79—41no—
721C22×C79—41no—
722C22×C79—41no—
723C22×C79—41no—
724C22×C79—41no—
725C22×C79—41no—
726C22×C79C23×D411yescharacteristic
727C22×C79C2×H(5,𝔽2)11yescharacteristic
728C22×C79C2×2−1+411yescharacteristic
729C22×C79#58511yescharacteristic
730C22×C79#58511yescharacteristic
731C22×C79#58511yescharacteristic
732C22×C79#58511yescharacteristic
733C2×D79—22no—
734C2×D79—22no—
735C2×D79—22no—
736C2×D79—22no—
737C2×D79—22no—
738C2×D79—22no—
739C2×D79—22no—
740C2×D79—22no—
741C2×D79—22no—
742C2×D79—41no—
743C2×D79—41no—
744C2×D79—41no—
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—88no—
754C2×D79#53714yes—
755C4×C79—22no—
756C4×C79—22no—
757C4×C79—41no—
758C4×C79—41no—
759C4×C79—41no—
760C4×C79—41no—
761C4×C79—41no—
762C4×C79—41no—
763C4×C79—41no—
764C4×C79—41no—
765C4×C79—41no—
766C4×C79—41no—
767C4×C79—41no—
768Dic79—22no—
769Dic79—22no—
770Dic79—41no—
771Dic79—41no—
772Dic79—41no—
773Dic79—41no—
774Dic79—41no—
775Dic79—41no—
776Dic79—41no—
777Dic79—41no—
778Dic79—41no—
779Dic79—41no—
780Dic79—41no—
781#36960—791nomaximal, Sylow
782C2×C79—42no—
783C2×C79—81no—
784C2×C79C2×#53711yescharacteristic
785C2×C79#348511yescharacteristic
786C2×C79#348511yescharacteristic
787C2×C79#356011yescharacteristic
788C2×C79#356011yescharacteristic
789C2×C79#356411yescharacteristic
790C2×C79#356411yescharacteristic
791D79—24no—
792D79—42no—
793D79—81no—
794C2×#538—791no—
795C22×#126—791no—
796#2855—791no—
797#2854—791no—
798#2722—791no—
799#2722—791no—
800#2722—791no—
801#2722—791no—
802#2715—791no—
803#2715—791no—
804#2715—791no—
805#2715D7911yescharacteristic, complemented
806#2695—791no—
807#2695—791no—
808#2695—791no—
809#2695—791no—
810#2691—791no—
811#2691—791no—
812#2691—791no—
813#2691—791no—
814#2627—791no—
815#2618—791no—
816#2579—791no—
817#2579—791no—
818#2486—791no—
819#2486—791no—
820#2412—791no—
821#2412—791no—
822#2412—791no—
823#2412—791no—
824#2315—791no—
825C79#3696011yescharacteristic, complemented, Sylow
826#538—1588no—
827C2×#126—791no—
828C2×#126—791no—
829C2×#126—791no—
830C2×#126—791no—
831C2×#126—791no—
832C2×#126—791no—
833C2×#126—791no—
834C2×#126—791no—
835C2×#126—791no—
836C2×#126—1588no—
837C2×#126C2×D7911yescharacteristic
838C2×#124—791no—
839C2×#124C2×D7911yescharacteristic
840C2×#123—791no—
841C2×#123—791no—
842C2×#123—791no—
843C2×#123—791no—
844C2×#123—791no—
845C2×#123—791no—
846C2×C22⋊Q8—791no—
847C2×#121—791no—
848C2×#121—791no—
849C2×#121—791no—
850C2×#120—791no—
851C2×#120—791no—
852C2×C4×D4—791no—
853C2×C4×D4—791no—
854C22×C4⋊C4—791no—
855C22×C4⋊C4—791no—
856C22×C4⋊C4—791no—
857C22×C22⋊C4—791no—
858C22×C22⋊C4—791no—
859C22×C22⋊C4—791no—
860C22×C22⋊C4—791no—
861C22×C22⋊C4—791no—
862C22×C42—791no—
863#400—791no—
864#400—791no—
865#398—791no—
866#398—791no—
867#398—791no—
868#398—791no—
869#398—791no—
870#398—791no—
871#398—791no—
872#398—791no—
873#398—791no—
874#398—791no—
875#398—791no—
876#398—791no—
877#398—791no—
878#398—791no—
879#397—791no—
880#397—791no—
881#397—791no—
882#397—791no—
883#397—791no—
884#397—791no—
885#397—791no—
886#397—791no—
887#397—791no—
888#397—791no—
889#397C2×D7911yescharacteristic
890#397C2×D7911yescharacteristic, complemented
891#396—791no—
892#396—791no—
893#396—791no—
894#396—791no—
895#396—791no—
896#396—791no—
897#396C2×D7911yescharacteristic, complemented
898#396C2×D7911yescharacteristic, complemented
899#395—791no—
900#395C2×D7911yescharacteristic, complemented
901#394—791no—
902#394—791no—
903#394—791no—
904#394—791no—
905#394—791no—
906#394—791no—
907#394—791no—
908#394—791no—
909#394—791no—
910#394C2×D7911yescharacteristic
911#391—791no—
912#391C2×D7911yescharacteristic, complemented
913#390—791no—
914#390—791no—
915#389—791no—
916#389—791no—
917#389—791no—
918#389—791no—
919#389—791no—
920#389—791no—
921#389—791no—
922#389C2×D7911yescharacteristic, complemented
923#388—791no—
924#388—791no—
925#388—791no—
926#388C2×D7911yescharacteristic, complemented
927#387—791no—
928#387—791no—
929#387—791no—
930#387—791no—
931#387—791no—
932#387—791no—
933#387—791no—
934#387C2×D7911yescharacteristic, complemented
935#386—791no—
936#386—791no—
937#386—791no—
938#386—791no—
939#386—791no—
940#386—791no—
941#386—791no—
942#386—791no—
943#386—791no—
944#386—791no—
945#386—791no—
946#386C2×D7911yescharacteristic
947#385—791no—
948#385—791no—
949#385—791no—
950#385—791no—
951#385—791no—
952#385—791no—
953#385—791no—
954#385—791no—
955#385—791no—
956#385—791no—
957#385—791no—
958#385—791no—
959#385—791no—
960#385—791no—
961#385—791no—
962#385C2×D7911yescharacteristic
963#381—791no—
964#381—791no—
965#381—791no—
966#381—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—
975#380—791no—
976#380—791no—
977#380—791no—
978#380—791no—
979#380—791no—
980#380—791no—
981#380—791no—
982#380C2×D7911yescharacteristic
983C25—791no—
984C22×Q8C22×D7911yescharacteristic
985C22×D4—791no—
986C22×D4—791no—
987C22×D4—791no—
988C22×D4—791no—
989C22×D4—791no—
990C22×D4—791no—
991C22×D4C22×D7911yescharacteristic
992C23×C4—791no—
993C23×C4—791no—
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×C4C22×D7911yescharacteristic
1004#126—24no—
1005#126—1584no—
1006#126—1584no—
1007#126—1584no—
1008#126—1584no—
1009#126—1584no—
1010#126—1584no—
1011#126—1584no—
1012#126—1584no—
1013#126—1584no—
1014#124—24no—
1015#124—1584no—
1016#123—3162no—
1017#123—3162no—
1018#123—3162no—
1019#123—3162no—
1020#123—1584no—
1021#123—1584no—
1022C22⋊Q8—1584no—
1023#121—1584no—
1024#121—1584no—
1025#121—1584no—
1026#120—1584no—
1027#120—1584no—
1028C4×D4—1584no—
1029C4×D4—1584no—
1030C2×C4⋊C4—791no—
1031C2×C4⋊C4—791no—
1032C2×C4⋊C4—791no—
1033C2×C4⋊C4—791no—
1034C2×C4⋊C4—791no—
1035C2×C4⋊C4—791no—
1036C2×C4⋊C4—791no—
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⋊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—1584no—
1064C2×C4⋊C4—1584no—
1065C2×C4⋊C4—1584no—
1066C2×C4⋊C4C22×D7911yescharacteristic
1067C2×C4⋊C4C22×D7911yescharacteristic
1068C2×C4⋊C4C22×D7911yescharacteristic
1069C2×C4⋊C4C22×D7911yescharacteristic
1070C2×C4⋊C4C22×D7911yescharacteristic
1071C2×C4⋊C4C22×D7911yescharacteristic
1072C2×C4⋊C4C22×D7911yescharacteristic
1073C2×C4⋊C4C22×D7911yescharacteristic
1074C2×C4⋊C4C22×D7911yescharacteristic
1075C2×C22⋊C4—3162no—
1076C2×C22⋊C4—3162no—
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⋊C4—791no—
1094C2×C22⋊C4—791no—
1095C2×C22⋊C4—798no—
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—1584no—
1114C2×C22⋊C4—1584no—
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×C22⋊C4C22×D7911yescharacteristic
1124C2×C22⋊C4C22×D7911yescharacteristic
1125C2×C22⋊C4C22×D7911yescharacteristic
1126C2×C42—791no—
1127C2×C42—791no—
1128C2×C42—791no—
1129C2×C42—791no—
1130C2×C42—1584no—
1131C2×C42C22×D7911yescharacteristic
1132C2×C42C22×D7911yescharacteristic
1133#95—791no—
1134#95—791no—
1135#95—791no—
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#95—791no—
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
1172#95C22×D7911yescharacteristic
1173C24—3161no—
1174C24—3161no—
1175C24—3161no—
1176C24—3161no—
1177C24—794no—
1178C24—791no—
1179C24—791no—
1180C24—791no—
1181C24—1582no—
1182C24—1582no—
1183C24C23×D7911yescharacteristic
1184C24C23×D7911yescharacteristic
1185C2×Q8—22no—
1186C2×Q8—41no—
1187C2×Q8—41no—
1188C2×D4—22no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—3161no—
1192C2×D4—3161no—
1193C2×D4—3161no—
1194C2×D4—3161no—
1195C2×D4—3161no—
1196C2×D4—3161no—
1197C2×D4—3161no—
1198C2×D4—3161no—
1199C2×D4—1582no—
1200C2×D4—1582no—
1201C2×D4—1582no—
1202C2×D4—1582no—
1203C2×D4—1582no—
1204C2×D4—1582no—
1205C2×D4—1582no—
1206C2×D4—1582no—
1207C2×D4—1582no—
1208C2×D4—1582no—
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—3161no—
1227C22×C4—3161no—
1228C22×C4—3161no—
1229C22×C4—3161no—
1230C22×C4—3161no—
1231C22×C4—3161no—
1232C22×C4—3161no—
1233C22×C4—794no—
1234C22×C4—794no—
1235C22×C4—791no—
1236C22×C4—791no—
1237C22×C4—791no—
1238C22×C4—791no—
1239C22×C4—791no—
1240C22×C4—791no—
1241C22×C4—791no—
1242C22×C4—791no—
1243C22×C4—791no—
1244C22×C4—791no—
1245C22×C4—791no—
1246C22×C4—791no—
1247C22×C4—791no—
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×C4C23×D7911yescharacteristic
1259C22×C4C23×D7911yescharacteristic
1260C22×C4C23×D7911yescharacteristic
1261C22×C4C23×D7911yescharacteristic
1262C22×C4C23×D7911yescharacteristic
1263C22×C4C23×D7911yescharacteristic
1264C22×C4C23×D7911yescharacteristic
1265C22×C4C23×D7911yescharacteristic
1266C22×C4C23×D7911yescharacteristic
1267C22×C4C23×D7911yescharacteristic
1268C22×C4C23×D7911yescharacteristic
1269C22×C4C23×D7911yescharacteristic
1270C22×C4C23×D7911yescharacteristic
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—3161no—
1281C4⋊C4—3161no—
1282C4⋊C4—3161no—
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—3161no—
1292C4⋊C4—3161no—
1293C4⋊C4—3161no—
1294C4⋊C4—3161no—
1295C4⋊C4—3161no—
1296C4⋊C4—3161no—
1297C4⋊C4—3161no—
1298C4⋊C4—1582no—
1299C4⋊C4—1582no—
1300C4⋊C4—1582no—
1301C4⋊C4—1582no—
1302C4⋊C4—1582no—
1303C4⋊C4—1582no—
1304C4⋊C4—1582no—
1305C4⋊C4—1582no—
1306C4⋊C4—1582no—
1307C4⋊C4—1582no—
1308C4⋊C4—1582no—
1309C4⋊C4—1582no—
1310C4⋊C4—1582no—
1311C4⋊C4—1582no—
1312C4⋊C4—1582no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—3161no—
1324C22⋊C4—3161no—
1325C22⋊C4—3161no—
1326C22⋊C4—3161no—
1327C22⋊C4—3161no—
1328C22⋊C4—3161no—
1329C22⋊C4—3161no—
1330C22⋊C4—3161no—
1331C22⋊C4—3161no—
1332C22⋊C4—3161no—
1333C22⋊C4—3161no—
1334C22⋊C4—3161no—
1335C22⋊C4—3161no—
1336C22⋊C4—3161no—
1337C22⋊C4—3161no—
1338C22⋊C4—794no—
1339C22⋊C4—794no—
1340C22⋊C4—794no—
1341C22⋊C4—1582no—
1342C22⋊C4—1582no—
1343C22⋊C4—1582no—
1344C22⋊C4—1582no—
1345C22⋊C4—1582no—
1346C22⋊C4—1582no—
1347C22⋊C4—1582no—
1348C22⋊C4—1582no—
1349C22⋊C4—1582no—
1350C22⋊C4—1582no—
1351C22⋊C4—1582no—
1352C22⋊C4—1582no—
1353C22⋊C4—1582no—
1354C22⋊C4—1582no—
1355C22⋊C4—1582no—
1356C22⋊C4—1582no—
1357C22⋊C4—1582no—
1358C22⋊C4D4×D7914yes—
1359C42—22no—
1360C42—22no—
1361C42—1582no—
1362C42—1582no—
1363C42—1582no—
1364C42—1582no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—3164no—
1379C23—3164no—
1380C23—792no—
1381C23—792no—
1382C23—792no—
1383C23—792no—
1384C23—6322no—
1385C23—6322no—
1386C23—6322no—
1387C23—6322no—
1388C23—1588no—
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—
1405C23—1581no—
1406C23C2×D4×D7912yes—
1407C23C24×D7911yescharacteristic
1408Q8—82no—
1409D4—82no—
1410D4—3164no—
1411D4—3164no—
1412D4—6322no—
1413D4—6322no—
1414D4—6322no—
1415D4—6322no—
1416C2×C4—21no—
1417C2×C4—21no—
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—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—82no—
1454C2×C4—3164no—
1455C2×C4—3164no—
1456C2×C4—3164no—
1457C2×C4—3164no—
1458C2×C4—3164no—
1459C2×C4—3164no—
1460C2×C4—792no—
1461C2×C4—792no—
1462C2×C4—6322no—
1463C2×C4—6322no—
1464C2×C4—6322no—
1465C2×C4—6322no—
1466C2×C4—6322no—
1467C2×C4—1581no—
1468C2×C4—1581no—
1469C2×C4—1581no—
1470C2×C4—1581no—
1471C2×C4—1581no—
1472C2×C4—1581no—
1473C2×C4—1581no—
1474C2×C4—1581no—
1475C2×C4—1581no—
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×C4C2×D4×D7912yes—
1505C2×C4C2×D4×D7912yes—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—3161no—
1521C22—3161no—
1522C22—3161no—
1523C22—3161no—
1524C22—3161no—
1525C22—3161no—
1526C22—3161no—
1527C22—3161no—
1528C22—3161no—
1529C22—3161no—
1530C22—3161no—
1531C22—794no—
1532C22—6328no—
1533C22—1582no—
1534C22—1582no—
1535C22—1582no—
1536C22—1582no—
1537C22—1582no—
1538C22—1582no—
1539C22—1582no—
1540C22—1582no—
1541C22—1582no—
1542C22C22×D4×D7911yescharacteristic
1543C22H(5,𝔽2)×D7911yescharacteristic
1544C222−1+4×D7911yescharacteristic
1545C22#1909939811yescharacteristic
1546C22#1909939911yescharacteristic
1547C22#1909939911yescharacteristic
1548C22#1909940011yescharacteristic
1549C4—22no—
1550C4—22no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—3161no—
1563C4—3161no—
1564C4—3161no—
1565C4—3161no—
1566C4—3161no—
1567C4—3161no—
1568C4—3161no—
1569C4—3161no—
1570C4—3161no—
1571C4—3161no—
1572C4—3161no—
1573C4—1582no—
1574C4—1582no—
1575C2—42no—
1576C2—81no—
1577C2—3162no—
1578C2—6321no—
1579C2—1584no—
1580C2#537×D7911yescharacteristic
1581C2#2377703711yescharacteristic
1582C2#2377703911yescharacteristic
1583C2#2377794111yescharacteristic
1584C2#2377795511yescharacteristic
1585C2#2377801511yescharacteristic
1586C2#2377801911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2715C2
prime radicalC2×#19099147C2
hypercenter#2715D79
hypocenterC79#36960
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2715

Complements

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

NH ≅ G/Ntype
2. C2×#126×D79C2semidirect
3. #23771741C2semidirect
4. #23771727C2semidirect
5. #23770310C2semidirect
6. #23770308C2semidirect
7. #23770307C2semidirect
8. #23770305C2semidirect
9. #23770213C2semidirect
10. #23770211C2semidirect
11. #23770205C2semidirect
12. #23769942C2semidirect
13. #23769938C2semidirect
14. #23769933C2semidirect
15. #23769929C2semidirect
16. #23769887C2semidirect
17. #23769883C2semidirect
18. #23769878C2semidirect
19. #23769874C2semidirect
20. #23769212C2semidirect
21. #23769147C2semidirect
22. #23768751C2semidirect
23. #23768742C2semidirect
24. #23767706C2semidirect
25. #23767701C2semidirect
26. #23766795C2semidirect
27. #23766793C2semidirect
28. #23766791C2semidirect
29. #23766789C2semidirect
30. #23766011C2semidirect
31. C79×#2715C2semidirect
67. #19098503C22semidirect
68. #19098502C22semidirect
69. #19098497C22semidirect
70. #19098497C22semidirect
71. #19098497C22semidirect
72. #19098497C22semidirect
73. #19098496C22semidirect
74. #19098496C22semidirect
75. #19098496C22semidirect
76. #19098496C22semidirect
77. #19098495C22semidirect
78. #19098495C22semidirect
79. #19098494C22semidirect
80. #19098494C22semidirect
81. #19098494C22semidirect
82. #19098493C22semidirect
85. #19098492C22semidirect
86. #19098492C22semidirect
92. #19098488C22semidirect
93. #19098487C22semidirect
94. #19098486C22semidirect
95. #19098486C22semidirect
96. #19098485C22semidirect
97. #19098485C22semidirect
98. #19098485C22semidirect
99. #19098482C22semidirect
104. #19098479C22semidirect
107. #19098478C22semidirect
109. #19098470C22semidirect
110. #19098463C22semidirect
111. #19098463C22semidirect
112. #19098462C22semidirect
113. #19098461C22semidirect
114. #19098461C22semidirect
115. #19098460C22semidirect
116. #19098460C22semidirect
117. #19098460C22semidirect
118. #19098458C22semidirect
119. #19098455C22semidirect
120. #19098454C22semidirect
121. #19098451C22semidirect
122. #19098449C22semidirect
123. #19098447C22semidirect
124. #19098446C22semidirect
125. #19098446C22semidirect
126. #19098445C22semidirect
127. #19098445C22semidirect
128. #19098445C22semidirect
141. #19098438C22semidirect
146. #19098437C22semidirect
149. #19098435C22semidirect
154. #19098434C22semidirect
166. #19098421C22semidirect
167. #19098421C22semidirect
172. #19098420C22semidirect
173. #19098420C22semidirect
177. #397×C79C22semidirect
178. #396×C79C22semidirect
179. #396×C79C22semidirect
180. #395×C79C22semidirect
182. #391×C79C22semidirect
183. #389×C79C22semidirect
184. #388×C79C22semidirect
185. #387×C79C22semidirect
805. #2715D79semidirect
825. C79#36960semidirect
890. #397C2×D79semidirect
897. #396C2×D79semidirect
898. #396C2×D79semidirect
900. #395C2×D79semidirect
912. #391C2×D79semidirect
922. #389C2×D79semidirect
926. #388C2×D79semidirect
934. #387C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991472
C2×#126×D792
#237717412
#237717272
#237703102
#237703082
#237703072
#237703052
#237702132
#237702112
#237702052
#237699422
#237699382
#237699332
#237699292
#237698872
#237698832
#237698782
#237698742
#237692122
#237691472
#237687512
#237687422
#237677062
#237677012
#237667952
#237667932
#237667912
#237667892
#237660112
C79×#27152
#3696079