Finite Group Databasebeta

← #34495814

Subgroups — #34495814

Order 20224.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099179C211yesmaximal, characteristic, complemented
2C2×#19099148C211yesmaximal, characteristic, complemented
3#23771727C211yesmaximal, characteristic, complemented
4#23771700C211yesmaximal, characteristic, complemented
5#23770312C211yesmaximal, characteristic, complemented
6#23770223C211yesmaximal, characteristic, complemented
7#23770217C211yesmaximal, characteristic, complemented
8#23770172C211yesmaximal, characteristic, complemented
9#23769996C211yesmaximal, characteristic, complemented
10#23769968C211yesmaximal, characteristic, complemented
11#23769945C211yesmaximal, characteristic, complemented
12#23769886C211yesmaximal, characteristic, complemented
13#23769838C211yesmaximal, characteristic, complemented
14#23769812C211yesmaximal, characteristic, complemented
15#23769780C211yesmaximal, characteristic, complemented
16#23769698C211yesmaximal, characteristic, complemented
17#23769683C211yesmaximal, characteristic, complemented
18#23769622C211yesmaximal, characteristic, complemented
19#23769608C211yesmaximal, characteristic, complemented
20#23769553C211yesmaximal, characteristic, complemented
21#23769535C211yesmaximal, characteristic, complemented
22#23769090C211yesmaximal, characteristic, complemented
23#23769035C211yesmaximal, characteristic, complemented
24#23769013C211yesmaximal, characteristic, complemented
25#23769000C211yesmaximal, characteristic, complemented
26#23768885C211yesmaximal, characteristic, complemented
27#23768555C211yesmaximal, characteristic, complemented
28#23766822C211yesmaximal, characteristic, complemented
29#23766787C211yesmaximal, characteristic, complemented
30#23765842C211yesmaximal, characteristic, complemented
31C79×#2685C211yesmaximal, characteristic, complemented
32#19099179—28no—
33#19099148—28no—
34C2×#14579160C2211yescharacteristic, complemented
35C2×#14579156C2211yescharacteristic, complemented
36C2×#14579154C2211yescharacteristic
37C2×#14579154C2211yescharacteristic
38C2×#14579149C2211yescharacteristic, complemented
39C2×#14579148C2211yescharacteristic
40C2×#14579148C2211yescharacteristic
41C2×#14579147C2211yescharacteristic
42C2×#14579147C2211yescharacteristic
43C2×#14579147C2211yescharacteristic
44C2×#14579146C2211yescharacteristic, complemented
45C2×#14579145C2211yescharacteristic
46C2×#14579143C2211yescharacteristic
47C2×#14579142C2211yescharacteristic
48C2×#14579141C2211yescharacteristic, complemented
49C2×#14579139C2211yescharacteristic, complemented
50C2×#14579138C2211yescharacteristic
51C2×#14579138C2211yescharacteristic
52C2×#14579138C2211yescharacteristic, complemented
53C2×#14579134C2211yescharacteristic
54C2×#14579134C2211yescharacteristic
55C2×#14579133C2211yescharacteristic
56C2×#14579133C2211yescharacteristic
57C2×#14579132C2211yescharacteristic
58C2×#14579130C2211yescharacteristic
59C2×#14579130C2211yescharacteristic
60C2×C4×Dic158C2211yescharacteristic, complemented
61C2×D4×Dic79C2211yescharacteristic
62C2×(C22⋊D79)⋊C4C2211yescharacteristic
63C2×#14579119C2211yescharacteristic, complemented
64C2×#14579117C2211yescharacteristic
65C22×C22⋊Dic79C2211yescharacteristic
66C2×C42×D79C2211yescharacteristic, complemented
67#19098504C2211yescharacteristic, complemented
68#19098501C2211yescharacteristic, complemented
69#19098499C2211yescharacteristic
70#19098496C2211yescharacteristic, complemented
71#19098493C2211yescharacteristic, complemented
72#19098491C2211yescharacteristic
73#19098491C2211yescharacteristic
74#19098491C2211yescharacteristic
75#19098491C2211yescharacteristic
76#19098491C2211yescharacteristic
77#19098491C2211yescharacteristic, complemented
78#19098490C2211yescharacteristic, complemented
79#19098489C2211yescharacteristic, complemented
80#19098489C2211yescharacteristic, complemented
81#19098488C2211yescharacteristic
82#19098486C2211yescharacteristic
83#19098486C2211yescharacteristic
84#19098485C2211yescharacteristic, complemented
85#19098484C2211yescharacteristic, complemented
86#19098483C2211yescharacteristic, complemented
87#19098483C2211yescharacteristic, complemented
88#19098479C2211yescharacteristic
89#19098479C2211yescharacteristic
90#19098479C2211yescharacteristic
91#19098479C2211yescharacteristic
92#19098478C2211yescharacteristic
93#19098478C2211yescharacteristic
94#19098478C2211yescharacteristic
95#19098478C2211yescharacteristic, complemented
96#19098477C2211yescharacteristic
97#19098476C2211yescharacteristic, complemented
98#19098475C2211yescharacteristic
99#19098475C2211yescharacteristic
100#19098475C2211yescharacteristic
101#19098475C2211yescharacteristic
102#19098475C2211yescharacteristic
103#19098475C2211yescharacteristic, complemented
104#19098472C2211yescharacteristic
105#19098472C2211yescharacteristic, complemented
106#19098471C2211yescharacteristic
107#19098471C2211yescharacteristic
108#19098471C2211yescharacteristic
109#19098469C2211yescharacteristic, complemented
110#19098469C2211yescharacteristic, complemented
111#19098468C2211yescharacteristic, complemented
112#19098467C2211yescharacteristic, complemented
113#19098466C2211yescharacteristic
114#19098463C2211yescharacteristic
115#19098463C2211yescharacteristic
116#19098463C2211yescharacteristic
117#19098463C2211yescharacteristic, complemented
118#19098462C2211yescharacteristic, complemented
119#19098462C2211yescharacteristic, complemented
120#19098460C2211yescharacteristic, complemented
121#19098458C2211yescharacteristic, complemented
122#19098458C2211yescharacteristic, complemented
123#19098457C2211yescharacteristic
124#19098457C2211yescharacteristic, complemented
125#19098456C2211yescharacteristic
126#19098456C2211yescharacteristic
127#19098456C2211yescharacteristic
128#19098456C2211yescharacteristic
129#19098456C2211yescharacteristic
130#19098456C2211yescharacteristic
131#19098456C2211yescharacteristic, complemented
132#19098456C2211yescharacteristic, complemented
133#19098455C2211yescharacteristic, complemented
134#19098454C2211yescharacteristic, complemented
135#19098453C2211yescharacteristic, complemented
136#19098451C2211yescharacteristic
137#19098451C2211yescharacteristic
138#19098451C2211yescharacteristic
139#19098451C2211yescharacteristic, complemented
140#19098450C2211yescharacteristic, complemented
141#19098448C2211yescharacteristic, complemented
142#19098447C2211yescharacteristic, complemented
143#19098447C2211yescharacteristic, complemented
144#19098445C2211yescharacteristic, complemented
145#19098445C2211yescharacteristic, complemented
146#19098441C2211yescharacteristic, complemented
147#19098440C2211yescharacteristic
148#19098440C2211yescharacteristic, complemented
149#19098439C2211yescharacteristic
150#19098439C2211yescharacteristic
151#19098439C2211yescharacteristic
152#19098439C2211yescharacteristic
153#19098439C2211yescharacteristic
154#19098439C2211yescharacteristic
155#19098439C2211yescharacteristic
156#19098439C2211yescharacteristic, complemented
157#19098439C2211yescharacteristic, complemented
158#19098439C2211yescharacteristic, complemented
159#19098438C2211yescharacteristic, complemented
160#19098437C2211yescharacteristic, complemented
161#19098435C2211yescharacteristic
162#19098434C2211yescharacteristic, complemented
163#19098434C2211yescharacteristic, complemented
164#19098428C2211yescharacteristic, complemented
165#19098424C2211yescharacteristic
166#19098424C2211yescharacteristic
167#19098422C2211yescharacteristic, complemented
168#19098421C2211yescharacteristic, complemented
169#19098419C2211yescharacteristic
170C4⋊C4×Dic79C2211yescharacteristic, complemented
171C22⋊C4×Dic79C2211yescharacteristic
172#19098410C2211yescharacteristic, complemented
173#19098408C2211yescharacteristic, complemented
174C2×#126×C79C2211yescharacteristic
175C2×#120×C79C2211yescharacteristic
176#399×C79C2211yescharacteristic
177#396×C79C2211yescharacteristic
178#394×C79C2211yescharacteristic
179#394×C79C2211yescharacteristic
180#394×C79C2211yescharacteristic
181#394×C79C2211yescharacteristic
182#390×C79C2211yescharacteristic
183#390×C79C2211yescharacteristic
184#388×C79C2211yescharacteristic
185#388×C79C2211yescharacteristic
186#388×C79C2211yescharacteristic
187#379×C79C2211yescharacteristic
188#379×C79C2211yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×Dic158C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209#14579160—24no—
210#14579156—24no—
211#14579154—24no—
212#14579154—24no—
213#14579149—24no—
214#14579148—24no—
215#14579148—42no—
216#14579147—24no—
217#14579147—24no—
218#14579147—24no—
219#14579146—24no—
220#14579145—24no—
221#14579143—24no—
222#14579142—24no—
223#14579141—24no—
224#14579139—24no—
225#14579138—24no—
226#14579138—24no—
227#14579138—42no—
228#14579134—24no—
229#14579134—42no—
230#14579133—24no—
231#14579133—24no—
232#14579132—24no—
233#14579130—24no—
234#14579130—42no—
235C4×Dic158—24no—
236D4×Dic79—24no—
237(C22⋊D79)⋊C4D418yescomplemented
238#14579119—24no—
239#14579117—42no—
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×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×C22⋊Dic79—24no—
263C2×C22⋊Dic79C2311yescharacteristic
264C2×C22⋊Dic79C2311yescharacteristic
265C2×C22⋊Dic79C2311yescharacteristic
266C2×C22⋊Dic79C2311yescharacteristic
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×C22⋊Dic79C2311yescharacteristic
282C2×C22⋊Dic79C2311yescharacteristic
283C2×C22⋊Dic79C2311yescharacteristic
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×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
309C42×D79—42no—
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C25×C79C2311yescharacteristic
343C22×D4×C79C2311yescharacteristic
344C22×D4×C79C2311yescharacteristic
345C22×D4×C79C2311yescharacteristic
346#126×C79—24no—
347#120×C79—24no—
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×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×C22⋊C4×C79C2311yescharacteristic
362C2×C22⋊C4×C79C2311yescharacteristic
363C2×C22⋊C4×C79C2311yescharacteristic
364C2×C22⋊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×C42×C79C2311yescharacteristic
374C2×C42×C79C2311yescharacteristic
375#95×C79C2311yescharacteristic
376#95×C79C2311yescharacteristic
377#95×C79C2311yescharacteristic
378#95×C79C2311yescharacteristic
379C23×D79C2411yescharacteristic
380C23×D79C2411yescharacteristic
381C2×Dic158—22no—
382C2×Dic158—22no—
383C2×Dic158—22no—
384C2×Dic158—22no—
385C2×Dic158—41no—
386C2×Dic158—41no—
387C2×Dic158—41no—
388C2×Dic158—41no—
389C2×Dic158—41no—
390C2×Dic158—41no—
391C2×Dic158—41no—
392C2×Dic158—41no—
393C2×D316—22no—
394C2×D316—41no—
395C2×D316—41no—
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—
407C2×C22⋊D79—41no—
408C2×C22⋊D79—41no—
409C2×C22⋊D79—41no—
410C2×C22⋊D79—41no—
411C2×C22⋊D79—41no—
412C2×C22⋊D79—41no—
413C2×C22⋊D79—41no—
414C2×C22⋊D79—41no—
415C2×C22⋊D79—41no—
416C2×C22⋊D79—41no—
417C2×C22⋊D79—41no—
418C2×C22⋊D79—41no—
419C2×C22⋊D79C2×D414yes—
420C22×Dic79—22no—
421C22×Dic79—22no—
422C22×Dic79—41no—
423C22×Dic79—41no—
424C22×Dic79—41no—
425C22×Dic79—41no—
426C22×Dic79—41no—
427C22×Dic79—41no—
428C22×Dic79C2×D414yes—
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
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×D79C2×D414yes—
455C4⋊Dic79—22no—
456C4⋊Dic79—22no—
457C4⋊Dic79—22no—
458C4⋊Dic79—22no—
459C4⋊Dic79—22no—
460C4⋊Dic79—41no—
461C4⋊Dic79—41no—
462C4⋊Dic79—41no—
463Dic79⋊C4—22no—
464Dic79⋊C4—22no—
465Dic79⋊C4—22no—
466Dic79⋊C4—22no—
467Dic79⋊C4—22no—
468Dic79⋊C4—22no—
469Dic79⋊C4—22no—
470Dic79⋊C4—22no—
471Dic79⋊C4—41no—
472Dic79⋊C4—41no—
473Dic79⋊C4—41no—
474Dic79⋊C4—41no—
475Dic79⋊C4—41no—
476Dic79⋊C4C2×D414yes—
477C22⋊Dic79—22no—
478C22⋊Dic79—22no—
479C22⋊Dic79—22no—
480C22⋊Dic79—22no—
481C22⋊Dic79—22no—
482C22⋊Dic79—22no—
483C22⋊Dic79—22no—
484C22⋊Dic79—22no—
485C22⋊Dic79—22no—
486C22⋊Dic79—22no—
487C22⋊Dic79—22no—
488C22⋊Dic79—22no—
489C22⋊Dic79—22no—
490C22⋊Dic79—41no—
491C22⋊Dic79—41no—
492C22⋊Dic79—41no—
493C22⋊Dic79—41no—
494C22⋊Dic79—41no—
495C22⋊Dic79—41no—
496C22⋊Dic79—41no—
497C22⋊Dic79—41no—
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—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509(C2×D79)⋊C4—41no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4—41no—
512(C2×D79)⋊C4—41no—
513(C2×D79)⋊C4C2×D414yes—
514C4×Dic79—22no—
515C4×Dic79—22no—
516C4×Dic79—22no—
517C4×Dic79—22no—
518C4×Dic79—22no—
519C4×Dic79—41no—
520C4×Dic79—41no—
521C4×Dic79—41no—
522C4×Dic79C2×D414yes—
523C24×C79—22no—
524C24×C79—41no—
525C24×C79—41no—
526C24×C79—41no—
527C24×C79—41no—
528C24×C79—41no—
529C24×C79—41no—
530C24×C79C2411yescharacteristic
531C24×C79C2411yescharacteristic
532C24×C79C2411yescharacteristic
533C24×C79C2411yescharacteristic
534C2×D4×C79—22no—
535C2×D4×C79—22no—
536C2×D4×C79—22no—
537C2×D4×C79—41no—
538C2×D4×C79—41no—
539C2×D4×C79—41no—
540C2×D4×C79—41no—
541C2×D4×C79—41no—
542C2×D4×C79—41no—
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—22no—
556C4⋊C4×C79—22no—
557C4⋊C4×C79—41no—
558C4⋊C4×C79—41no—
559C4⋊C4×C79—41no—
560C22⋊C4×C79—22no—
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×C79—41no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C22⋊C4×C79—41no—
572C22⋊C4×C79—41no—
573C22⋊C4×C79—41no—
574C22⋊C4×C79—41no—
575C22⋊C4×C79—41no—
576C22⋊C4×C79—41no—
577C22⋊C4×C79—41no—
578C22⋊C4×C79C2×D414yes—
579C42×C79—22no—
580C42×C79—41no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
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×C79—21no—
608C23×C79—44no—
609C23×C79—82no—
610C23×C79—82no—
611C23×C79—82no—
612C23×C79—82no—
613C23×C79—82no—
614C23×C79—82no—
615C23×C79C22×D412yes—
616C23×C79C2511yescharacteristic
617C22×D79—21no—
618C22×D79—21no—
619C22×D79—21no—
620C22×D79—21no—
621C22×D79—21no—
622C22×D79—21no—
623C22×D79—21no—
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—21no—
630C22×D79C22×D412yes—
631D4×C79—44no—
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×C79C22×D412yes—
666C2×C4×C79C22×D412yes—
667C22⋊D79—44no—
668C22⋊D79—82no—
669C22⋊D79—82no—
670C22⋊D79—82no—
671C22⋊D79—82no—
672C22⋊D79—82no—
673C22⋊D79—82no—
674C22⋊D79—82no—
675C2×Dic79—21no—
676C2×Dic79—21no—
677C2×Dic79—21no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—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—44no—
714C2×Dic79—82no—
715C2×Dic79—82no—
716C2×Dic79C22×D412yes—
717C2×Dic79C22×D412yes—
718C2×Dic79C22×D412yes—
719C2×Dic79H(5,𝔽2)12yes—
720D316—82no—
721C4×D79—44no—
722C4×D79—44no—
723C4×D79—44no—
724C4×D79—44no—
725Dic158—44no—
726Dic158—82no—
727Dic158—82no—
728Dic158—82no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—22no—
732C22×C79—41no—
733C22×C79—41no—
734C22×C79—41no—
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×C79—41no—
754C22×C79—41no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79—88no—
758C22×C79C23×D411yescharacteristic
759C22×C79C2×H(5,𝔽2)11yescharacteristic
760C22×C79#58511yescharacteristic
761C22×C79#58511yescharacteristic
762C22×C79#58511yescharacteristic
763C22×C79#58511yescharacteristic
764C22×C79#58511yescharacteristic
765C2×D79—22no—
766C2×D79—22no—
767C2×D79—22no—
768C2×D79—41no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—41no—
773C2×D79—41no—
774C2×D79—41no—
775C2×D79—41no—
776C2×D79—41no—
777C2×D79—41no—
778C2×D79—41no—
779C4×C79—22no—
780C4×C79—22no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79—41no—
787C4×C79—41no—
788C4×C79—41no—
789C4×C79—41no—
790Dic79—22no—
791Dic79—22no—
792Dic79—22no—
793Dic79—22no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800Dic79—41no—
801Dic79—41no—
802Dic79—41no—
803Dic79—41no—
804#36745—791nomaximal, Sylow
805C2×C79—42no—
806C2×C79—81no—
807C2×C79—81no—
808C2×C79—81no—
809C2×C79#344911yescharacteristic
810C2×C79#349611yescharacteristic
811C2×C79#350011yescharacteristic
812C2×C79#353311yescharacteristic
813C2×C79#354011yescharacteristic
814C2×C79#356611yescharacteristic
815C2×C79#356811yescharacteristic
816D79—42no—
817D79—81no—
818C2×#542—791no—
819C2×#538—791no—
820#2854—791no—
821#2850—791no—
822#2723—791no—
823#2716—791no—
824#2715—791no—
825#2712—791no—
826#2700—791no—
827#2698—791no—
828#2696—791no—
829#2691—791no—
830#2688—791no—
831#2686—791no—
832#2685D7911yescharacteristic, complemented
833#2684—791no—
834#2676—791no—
835#2674—791no—
836#2670—791no—
837#2668—791no—
838#2663—791no—
839#2661—791no—
840#2610—791no—
841#2604—791no—
842#2602—791no—
843#2601—791no—
844#2592—791no—
845#2561—791no—
846#2415—791no—
847#2411—791no—
848#2290—791no—
849C79#3674511yescharacteristic, complemented, Sylow
850#542—1588no—
851#538—1588no—
852C2×C4⋊Q8—791no—
853C2×#126—791no—
854C2×#126—791no—
855C2×#126—791no—
856C2×#126C2×D7911yescharacteristic
857C2×#124—791no—
858C2×#124—791no—
859C2×#124—791no—
860C2×#124—791no—
861C2×#124—791no—
862C2×#124—791no—
863C2×#123—791no—
864C2×#123—791no—
865C2×#123—791no—
866C2×#123—791no—
867C2×C22⋊Q8—791no—
868C2×C22⋊Q8—791no—
869C2×C22⋊Q8—791no—
870C2×C22⋊Q8—791no—
871C2×C22⋊Q8—791no—
872C2×#121—791no—
873C2×#121—791no—
874C2×#121—791no—
875C2×#121—791no—
876C2×#121—791no—
877C2×#120—791no—
878C2×#120—791no—
879C2×#120C2×D7911yescharacteristic
880C2×C4×Q8—791no—
881C2×C4×D4—791no—
882C2×C4×D4—791no—
883C2×#117—791no—
884C2×#117—791no—
885C22×C22⋊C4—791no—
886C22×C42—791no—
887#400—791no—
888#400—791no—
889#399—791no—
890#399C2×D7911yescharacteristic
891#398—791no—
892#398—791no—
893#397—791no—
894#397—791no—
895#397—791no—
896#397—791no—
897#397—791no—
898#397—791no—
899#397—791no—
900#397—791no—
901#397—791no—
902#397—791no—
903#396—791no—
904#396—791no—
905#396—791no—
906#396C2×D7911yescharacteristic
907#395—791no—
908#395—791no—
909#395—791no—
910#394—791no—
911#394—791no—
912#394—791no—
913#394—791no—
914#394—791no—
915#394—791no—
916#394—791no—
917#394—791no—
918#394—791no—
919#394C2×D7911yescharacteristic
920#394C2×D7911yescharacteristic
921#394C2×D7911yescharacteristic
922#394C2×D7911yescharacteristic
923#393—791no—
924#393—791no—
925#393—791no—
926#393—791no—
927#393—791no—
928#393—791no—
929#393—791no—
930#392—791no—
931#392—791no—
932#392—791no—
933#392—791no—
934#392—791no—
935#391—791no—
936#391—791no—
937#391—791no—
938#391—791no—
939#390—791no—
940#390—791no—
941#390—791no—
942#390—791no—
943#390—791no—
944#390C2×D7911yescharacteristic
945#390C2×D7911yescharacteristic
946#389—791no—
947#389—791no—
948#389—791no—
949#389—791no—
950#389—791no—
951#388—791no—
952#388—791no—
953#388—791no—
954#388—791no—
955#388—791no—
956#388—791no—
957#388—791no—
958#388—791no—
959#388—791no—
960#388—791no—
961#388—791no—
962#388—791no—
963#388—791no—
964#388—791no—
965#388—791no—
966#388—791no—
967#388—791no—
968#388C2×D7911yescharacteristic
969#388C2×D7911yescharacteristic
970#388C2×D7911yescharacteristic
971#387—791no—
972#387—791no—
973#387—791no—
974#387—791no—
975#387—791no—
976#387—791no—
977#386—791no—
978#386—791no—
979#386—791no—
980#386—791no—
981#386—791no—
982#386—791no—
983#386—791no—
984#386—791no—
985#386—791no—
986#386—791no—
987#386—791no—
988#386—791no—
989#386—791no—
990#385—791no—
991#385—791no—
992#385—791no—
993#385—791no—
994#385—791no—
995#382—791no—
996#381—791no—
997#381—791no—
998#380—791no—
999#380—791no—
1000#379—791no—
1001#379C2×D7911yescharacteristic
1002#379C2×D7911yescharacteristic
1003C4×C4⋊C4—791no—
1004C4×C22⋊C4—791no—
1005C4×C22⋊C4—791no—
1006#376—791no—
1007C25C22×D7911yescharacteristic
1008C22×Q8—791no—
1009C22×Q8—791no—
1010C22×Q8—791no—
1011C22×Q8—791no—
1012C22×D4—791no—
1013C22×D4—791no—
1014C22×D4—791no—
1015C22×D4—791no—
1016C22×D4—791no—
1017C22×D4—791no—
1018C22×D4—791no—
1019C22×D4—791no—
1020C22×D4—791no—
1021C22×D4C22×D7911yescharacteristic
1022C22×D4C22×D7911yescharacteristic
1023C22×D4C22×D7911yescharacteristic
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4—791no—
1027C23×C4—791no—
1028C23×C4—791no—
1029C23×C4—791no—
1030C23×C4—791no—
1031C4⋊Q8—1584no—
1032#126—24no—
1033#126—1584no—
1034#126—1584no—
1035#126—1584no—
1036#124—3162no—
1037#124—1584no—
1038#124—1584no—
1039#124—1584no—
1040#124—1584no—
1041#124—1584no—
1042#123—1584no—
1043#123—1584no—
1044#123—1584no—
1045#123—1584no—
1046C22⋊Q8—3162no—
1047C22⋊Q8—1584no—
1048C22⋊Q8—1584no—
1049C22⋊Q8—1584no—
1050C22⋊Q8—1584no—
1051#121—3162no—
1052#121—1584no—
1053#121—1584no—
1054#121—1584no—
1055#121—1584no—
1056#120—24no—
1057#120—3162no—
1058#120—1584no—
1059C4×Q8—1584no—
1060C4×D4—798no—
1061C4×D4—1584no—
1062#117—3162no—
1063#117—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⋊C4C22×D7911yescharacteristic
1087C2×C4⋊C4C22×D7911yescharacteristic
1088C2×C4⋊C4C22×D7911yescharacteristic
1089C2×C4⋊C4C22×D7911yescharacteristic
1090C2×C4⋊C4C22×D7911yescharacteristic
1091C2×C4⋊C4C22×D7911yescharacteristic
1092C2×C22⋊C4—791no—
1093C2×C22⋊C4—791no—
1094C2×C22⋊C4—791no—
1095C2×C22⋊C4—791no—
1096C2×C22⋊C4—791no—
1097C2×C22⋊C4—791no—
1098C2×C22⋊C4—791no—
1099C2×C22⋊C4—791no—
1100C2×C22⋊C4—791no—
1101C2×C22⋊C4—791no—
1102C2×C22⋊C4—791no—
1103C2×C22⋊C4—791no—
1104C2×C22⋊C4—791no—
1105C2×C22⋊C4—791no—
1106C2×C22⋊C4—791no—
1107C2×C22⋊C4—791no—
1108C2×C22⋊C4—791no—
1109C2×C22⋊C4—791no—
1110C2×C22⋊C4—791no—
1111C2×C22⋊C4—791no—
1112C2×C22⋊C4—791no—
1113C2×C22⋊C4—791no—
1114C2×C22⋊C4—791no—
1115C2×C22⋊C4—791no—
1116C2×C22⋊C4—791no—
1117C2×C22⋊C4—791no—
1118C2×C22⋊C4—791no—
1119C2×C22⋊C4—791no—
1120C2×C22⋊C4—791no—
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—1584no—
1130C2×C22⋊C4C22×D7911yescharacteristic
1131C2×C22⋊C4C22×D7911yescharacteristic
1132C2×C22⋊C4C22×D7911yescharacteristic
1133C2×C22⋊C4C22×D7911yescharacteristic
1134C2×C22⋊C4C22×D7911yescharacteristic
1135C2×C22⋊C4C22×D7911yescharacteristic
1136C2×C22⋊C4C22×D7911yescharacteristic
1137C2×C22⋊C4C22×D7911yescharacteristic
1138C2×C22⋊C4C22×D7911yescharacteristic
1139C2×C22⋊C4C22×D7911yescharacteristic
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×C42—3162no—
1150C2×C42—791no—
1151C2×C42—791no—
1152C2×C42—791no—
1153C2×C42—791no—
1154C2×C42—791no—
1155C2×C42—791no—
1156C2×C42—791no—
1157C2×C42—791no—
1158C2×C42—791no—
1159C2×C42C22×D7911yescharacteristic
1160C2×C42C22×D7911yescharacteristic
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
1197C24—22no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24—41no—
1204C24—791no—
1205C24—791no—
1206C24C23×D7911yescharacteristic
1207C24C23×D7911yescharacteristic
1208C24C23×D7911yescharacteristic
1209C24C23×D7911yescharacteristic
1210C2×Q8—3161no—
1211C2×Q8—3161no—
1212C2×Q8—3161no—
1213C2×Q8—3161no—
1214C2×Q8—3161no—
1215C2×Q8—3161no—
1216C2×Q8—3161no—
1217C2×Q8—3161no—
1218C2×Q8—1582no—
1219C2×Q8—1582no—
1220C2×Q8—1582no—
1221C2×Q8—1582no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—3161no—
1232C2×D4—3161no—
1233C2×D4—3161no—
1234C2×D4—3161no—
1235C2×D4—3161no—
1236C2×D4—3161no—
1237C2×D4—3161no—
1238C2×D4—3161no—
1239C2×D4—3161no—
1240C2×D4—3161no—
1241C2×D4—3161no—
1242C2×D4—3161no—
1243C2×D4—3161no—
1244C2×D4—3161no—
1245C2×D4—3161no—
1246C2×D4—3161no—
1247C2×D4—3161no—
1248C2×D4—3161no—
1249C2×D4—3161no—
1250C2×D4—3161no—
1251C2×D4—794no—
1252C2×D4—1582no—
1253C2×D4—1582no—
1254C2×D4—1582no—
1255C2×D4—1582no—
1256C2×D4—1582no—
1257C2×D4—1582no—
1258C22×C4—3161no—
1259C22×C4—3161no—
1260C22×C4—3161no—
1261C22×C4—3161no—
1262C22×C4—3161no—
1263C22×C4—3161no—
1264C22×C4—3161no—
1265C22×C4—3161no—
1266C22×C4—3161no—
1267C22×C4—3161no—
1268C22×C4—3161no—
1269C22×C4—3161no—
1270C22×C4—3161no—
1271C22×C4—3161no—
1272C22×C4—3161no—
1273C22×C4—794no—
1274C22×C4—794no—
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—791no—
1287C22×C4—791no—
1288C22×C4—791no—
1289C22×C4—1582no—
1290C22×C4—1582no—
1291C22×C4—1582no—
1292C22×C4—1582no—
1293C22×C4C23×D7911yescharacteristic
1294C22×C4C23×D7911yescharacteristic
1295C22×C4C23×D7911yescharacteristic
1296C22×C4C23×D7911yescharacteristic
1297C22×C4C23×D7911yescharacteristic
1298C22×C4C23×D7911yescharacteristic
1299C22×C4C23×D7911yescharacteristic
1300C22×C4C23×D7911yescharacteristic
1301C22×C4C23×D7911yescharacteristic
1302C22×C4C23×D7911yescharacteristic
1303C22×C4C23×D7911yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—3161no—
1311C4⋊C4—3161no—
1312C4⋊C4—3161no—
1313C4⋊C4—3161no—
1314C4⋊C4—3161no—
1315C4⋊C4—3161no—
1316C4⋊C4—3161no—
1317C4⋊C4—3161no—
1318C4⋊C4—794no—
1319C4⋊C4—1582no—
1320C4⋊C4—1582no—
1321C4⋊C4—1582no—
1322C4⋊C4—1582no—
1323C4⋊C4—1582no—
1324C4⋊C4—1582no—
1325C4⋊C4—1582no—
1326C4⋊C4—1582no—
1327C4⋊C4—1582no—
1328C4⋊C4—1582no—
1329C4⋊C4—1582no—
1330C4⋊C4—1582no—
1331C4⋊C4—1582no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—3161no—
1351C22⋊C4—3161no—
1352C22⋊C4—3161no—
1353C22⋊C4—3161no—
1354C22⋊C4—3161no—
1355C22⋊C4—3161no—
1356C22⋊C4—3161no—
1357C22⋊C4—3161no—
1358C22⋊C4—3161no—
1359C22⋊C4—3161no—
1360C22⋊C4—3161no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—794no—
1366C22⋊C4—1582no—
1367C22⋊C4—1582no—
1368C22⋊C4—1582no—
1369C22⋊C4—1582no—
1370C22⋊C4—1582no—
1371C22⋊C4—1582no—
1372C22⋊C4—1582no—
1373C22⋊C4—1582no—
1374C22⋊C4—1582no—
1375C22⋊C4—1582no—
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⋊C4D4×D7914yes—
1388C42—22no—
1389C42—41no—
1390C42—3161no—
1391C42—3161no—
1392C42—3161no—
1393C42—794no—
1394C42—1582no—
1395C42—1582no—
1396C42—1582no—
1397C42—1582no—
1398C42—1582no—
1399C23—21no—
1400C23—21no—
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—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—44no—
1427C23—82no—
1428C23—82no—
1429C23—82no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—792no—
1434C23—1581no—
1435C23—1581no—
1436C23—1581no—
1437C23—1581no—
1438C23—1581no—
1439C23—1581no—
1440C23—1581no—
1441C23—1581no—
1442C23—1581no—
1443C23—1581no—
1444C23—1581no—
1445C23—1581no—
1446C23—1581no—
1447C23C2×D4×D7912yes—
1448C23C24×D7911yescharacteristic
1449Q8—3164no—
1450Q8—6322no—
1451Q8—6322no—
1452Q8—6322no—
1453D4—44no—
1454D4—82no—
1455D4—82no—
1456D4—3164no—
1457D4—6322no—
1458D4—6322no—
1459D4—6322no—
1460D4—6322no—
1461D4—6322no—
1462D4—6322no—
1463D4—6322no—
1464D4—6322no—
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—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—3164no—
1497C2×C4—3164no—
1498C2×C4—3164no—
1499C2×C4—3164no—
1500C2×C4—3164no—
1501C2×C4—792no—
1502C2×C4—792no—
1503C2×C4—792no—
1504C2×C4—792no—
1505C2×C4—6322no—
1506C2×C4—6322no—
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×C4—1581no—
1544C2×C4—1581no—
1545C2×C4C2×D4×D7912yes—
1546C2×C4C2×D4×D7912yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
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—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—88no—
1576C22—3161no—
1577C22—3161no—
1578C22—3161no—
1579C22—3161no—
1580C22—3161no—
1581C22—3161no—
1582C22—3161no—
1583C22—3161no—
1584C22—3161no—
1585C22—3161no—
1586C22—3161no—
1587C22—1582no—
1588C22—1582no—
1589C22—1582no—
1590C22C22×D4×D7911yescharacteristic
1591C22H(5,𝔽2)×D7911yescharacteristic
1592C22#1909939811yescharacteristic
1593C22#1909939811yescharacteristic
1594C22#1909939811yescharacteristic
1595C22#1909939911yescharacteristic
1596C22#1909939911yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—3161no—
1609C4—3161no—
1610C4—3161no—
1611C4—3161no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—3161no—
1616C4—3161no—
1617C4—3161no—
1618C4—1582no—
1619C4—1582no—
1620C4—1582no—
1621C4—1582no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—81no—
1626C2—3162no—
1627C2—6321no—
1628C2#2377673111yescharacteristic
1629C2#2377716011yescharacteristic
1630C2#2377718611yescharacteristic
1631C2#2377756911yescharacteristic
1632C2#2377767111yescharacteristic
1633C2#2377805511yescharacteristic
1634C2#2377809111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2685C2
hypercenter#2685D79
hypocenterC79#36745
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2685

Complements

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

NH ≅ G/Ntype
1. C2×#19099179C2semidirect
2. C2×#19099148C2semidirect
3. #23771727C2semidirect
4. #23771700C2semidirect
5. #23770312C2semidirect
6. #23770223C2semidirect
7. #23770217C2semidirect
8. #23770172C2semidirect
9. #23769996C2semidirect
10. #23769968C2semidirect
11. #23769945C2semidirect
12. #23769886C2semidirect
13. #23769838C2semidirect
14. #23769812C2semidirect
15. #23769780C2semidirect
16. #23769698C2semidirect
17. #23769683C2semidirect
18. #23769622C2semidirect
19. #23769608C2semidirect
20. #23769553C2semidirect
21. #23769535C2semidirect
22. #23769090C2semidirect
23. #23769035C2semidirect
24. #23769013C2semidirect
25. #23769000C2semidirect
26. #23768885C2semidirect
27. #23768555C2semidirect
28. #23766822C2semidirect
29. #23766787C2semidirect
30. #23765842C2semidirect
31. C79×#2685C2semidirect
34. C2×#14579160C22semidirect
35. C2×#14579156C22semidirect
38. C2×#14579149C22semidirect
44. C2×#14579146C22semidirect
48. C2×#14579141C22semidirect
49. C2×#14579139C22semidirect
52. C2×#14579138C22semidirect
60. C2×C4×Dic158C22semidirect
63. C2×#14579119C22semidirect
66. C2×C42×D79C22semidirect
67. #19098504C22semidirect
68. #19098501C22semidirect
70. #19098496C22semidirect
71. #19098493C22semidirect
77. #19098491C22semidirect
78. #19098490C22semidirect
79. #19098489C22semidirect
80. #19098489C22semidirect
84. #19098485C22semidirect
85. #19098484C22semidirect
86. #19098483C22semidirect
87. #19098483C22semidirect
95. #19098478C22semidirect
97. #19098476C22semidirect
103. #19098475C22semidirect
105. #19098472C22semidirect
109. #19098469C22semidirect
110. #19098469C22semidirect
111. #19098468C22semidirect
112. #19098467C22semidirect
117. #19098463C22semidirect
118. #19098462C22semidirect
119. #19098462C22semidirect
120. #19098460C22semidirect
121. #19098458C22semidirect
122. #19098458C22semidirect
124. #19098457C22semidirect
131. #19098456C22semidirect
132. #19098456C22semidirect
133. #19098455C22semidirect
134. #19098454C22semidirect
135. #19098453C22semidirect
139. #19098451C22semidirect
140. #19098450C22semidirect
141. #19098448C22semidirect
142. #19098447C22semidirect
143. #19098447C22semidirect
144. #19098445C22semidirect
145. #19098445C22semidirect
146. #19098441C22semidirect
148. #19098440C22semidirect
156. #19098439C22semidirect
157. #19098439C22semidirect
158. #19098439C22semidirect
159. #19098438C22semidirect
160. #19098437C22semidirect
162. #19098434C22semidirect
163. #19098434C22semidirect
164. #19098428C22semidirect
167. #19098422C22semidirect
168. #19098421C22semidirect
170. C4⋊C4×Dic79C22semidirect
172. #19098410C22semidirect
173. #19098408C22semidirect
237. (C22⋊D79)⋊C4D4semidirect
832. #2685D79semidirect
849. C79#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#190991792
C2×#190991482
#237717272
#237717002
#237703122
#237702232
#237702172
#237701722
#237699962
#237699682
#237699452
#237698862
#237698382
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