Finite Group Databasebeta

← #34501928

Subgroups — #34501928

Order 20224.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099142C211yesmaximal, characteristic, complemented
2C2×#126×D79C211yesmaximal, characteristic, complemented
3#23771730C211yesmaximal, characteristic, complemented
4#23771727C211yesmaximal, characteristic, complemented
5#23770325C211yesmaximal, characteristic, complemented
6#23770323C211yesmaximal, characteristic, complemented
7#23770322C211yesmaximal, characteristic, complemented
8#23770320C211yesmaximal, characteristic, complemented
9#23770318C211yesmaximal, characteristic, complemented
10#23770317C211yesmaximal, characteristic, complemented
11#23770316C211yesmaximal, characteristic, complemented
12#23770315C211yesmaximal, characteristic, complemented
13#23770203C211yesmaximal, characteristic, complemented
14#23770201C211yesmaximal, characteristic, complemented
15#23770198C211yesmaximal, characteristic, complemented
16#23770196C211yesmaximal, characteristic, complemented
17#23770191C211yesmaximal, characteristic, complemented
18#23770190C211yesmaximal, characteristic, complemented
19#23770189C211yesmaximal, characteristic, complemented
20#23769139C211yesmaximal, characteristic, complemented
21#23769133C211yesmaximal, characteristic, complemented
22#23768329C211yesmaximal, characteristic, complemented
23#23768325C211yesmaximal, characteristic, complemented
24#23767891C211yesmaximal, characteristic, complemented
25#23767887C211yesmaximal, characteristic, complemented
26#23766733C211yesmaximal, characteristic, complemented
27#23766730C211yesmaximal, characteristic, complemented
28#23766717C211yesmaximal, characteristic, complemented
29#23766714C211yesmaximal, characteristic, complemented
30#23765999C211yesmaximal, characteristic, complemented
31C79×#2714C211yesmaximal, characteristic, complemented
32C22×#11929624C2211yescharacteristic
33C22×#11929623C2211yescharacteristic
34#19099142—28no—
35C2×#14579156C2211yescharacteristic
36C2×#14579156C2211yescharacteristic
37C2×#14579156C2211yescharacteristic
38C2×#14579155C2211yescharacteristic
39C2×#14579154C2211yescharacteristic
40C2×#14579154C2211yescharacteristic
41C2×#14579154C2211yescharacteristic
42#126×D79—28no—
43C2×#14579146C2211yescharacteristic
44C2×#14579143C2211yescharacteristic
45C2×#14579143C2211yescharacteristic
46C2×#14579143C2211yescharacteristic
47C2×#14579141C2211yescharacteristic, complemented
48C2×#14579140C2211yescharacteristic, complemented
49C2×#14579138C2211yescharacteristic, complemented
50C2×#14579138C2211yescharacteristic, complemented
51C2×#14579134C2211yescharacteristic
52C2×#14579134C2211yescharacteristic
53C2×#14579133C2211yescharacteristic, complemented
54C2×#14579133C2211yescharacteristic, complemented
55C2×#14579132C2211yescharacteristic
56C2×#14579132C2211yescharacteristic
57C2×#14579132C2211yescharacteristic, complemented
58C2×#14579131C2211yescharacteristic
59C2×#14579129C2211yescharacteristic
60C2×#14579129C2211yescharacteristic
61C2×#14579129C2211yescharacteristic
62C2×C4⋊C4×D79C2211yescharacteristic
63C2×C4⋊C4×D79C2211yescharacteristic
64C2×C4⋊C4×D79C2211yescharacteristic
65C2×C22⋊C4×D79C2211yescharacteristic
66C2×C22⋊C4×D79C2211yescharacteristic
67C2×C22⋊C4×D79C2211yescharacteristic
68C2×C42×D79C2211yescharacteristic
69#19098500C2211yescharacteristic
70#19098499C2211yescharacteristic
71#19098499C2211yescharacteristic
72#19098498C2211yescharacteristic
73#19098492C2211yescharacteristic
74#19098491C2211yescharacteristic
75#19098491C2211yescharacteristic, complemented
76#19098491C2211yescharacteristic, complemented
77#19098491C2211yescharacteristic, complemented
78#19098491C2211yescharacteristic, complemented
79#19098490C2211yescharacteristic
80#19098490C2211yescharacteristic, complemented
81#19098489C2211yescharacteristic, complemented
82#19098488C2211yescharacteristic
83#19098488C2211yescharacteristic, complemented
84#19098484C2211yescharacteristic, complemented
85#19098484C2211yescharacteristic, complemented
86#19098483C2211yescharacteristic, complemented
87#19098483C2211yescharacteristic, complemented
88#19098480C2211yescharacteristic
89#19098479C2211yescharacteristic
90#19098479C2211yescharacteristic
91#19098479C2211yescharacteristic, complemented
92#19098478C2211yescharacteristic
93#19098478C2211yescharacteristic
94#19098478C2211yescharacteristic, complemented
95#19098477C2211yescharacteristic
96#19098477C2211yescharacteristic
97#19098477C2211yescharacteristic, complemented
98#19098476C2211yescharacteristic
99#19098476C2211yescharacteristic
100#19098475C2211yescharacteristic
101#19098475C2211yescharacteristic
102#19098472C2211yescharacteristic
103#19098472C2211yescharacteristic
104#19098472C2211yescharacteristic
105#19098471C2211yescharacteristic
106#19098471C2211yescharacteristic
107#19098471C2211yescharacteristic
108#19098471C2211yescharacteristic
109#19098471C2211yescharacteristic
110#19098471C2211yescharacteristic
111#19098466C2211yescharacteristic
112#19098466C2211yescharacteristic
113#19098466C2211yescharacteristic, complemented
114#19098466C2211yescharacteristic, complemented
115#19098465C2211yescharacteristic
116#19098463C2211yescharacteristic
117#19098463C2211yescharacteristic
118#19098463C2211yescharacteristic
119#19098463C2211yescharacteristic
120#19098463C2211yescharacteristic, complemented
121#19098463C2211yescharacteristic, complemented
122#19098463C2211yescharacteristic, complemented
123#19098463C2211yescharacteristic, complemented
124#19098462C2211yescharacteristic, complemented
125#19098461C2211yescharacteristic, complemented
126#19098460C2211yescharacteristic, complemented
127#19098458C2211yescharacteristic, complemented
128#19098457C2211yescharacteristic, complemented
129#19098457C2211yescharacteristic, complemented
130#19098456C2211yescharacteristic, complemented
131#19098456C2211yescharacteristic, complemented
132#19098455C2211yescharacteristic, complemented
133#19098454C2211yescharacteristic, complemented
134#19098451C2211yescharacteristic, complemented
135#19098450C2211yescharacteristic, complemented
136#19098449C2211yescharacteristic, complemented
137#19098448C2211yescharacteristic, complemented
138#19098447C2211yescharacteristic, complemented
139#19098446C2211yescharacteristic, complemented
140#19098445C2211yescharacteristic, complemented
141#19098444C2211yescharacteristic, complemented
142#19098443C2211yescharacteristic
143#19098443C2211yescharacteristic
144#19098442C2211yescharacteristic
145#19098441C2211yescharacteristic
146#19098441C2211yescharacteristic
147#19098441C2211yescharacteristic
148#19098440C2211yescharacteristic
149#19098440C2211yescharacteristic
150#19098439C2211yescharacteristic
151#19098439C2211yescharacteristic
152#19098439C2211yescharacteristic
153#19098439C2211yescharacteristic
154#19098439C2211yescharacteristic
155#19098439C2211yescharacteristic
156#19098439C2211yescharacteristic
157#19098438C2211yescharacteristic, complemented
158#19098438C2211yescharacteristic, complemented
159#19098437C2211yescharacteristic, complemented
160#19098436C2211yescharacteristic, complemented
161#19098435C2211yescharacteristic, complemented
162#19098435C2211yescharacteristic, complemented
163#19098434C2211yescharacteristic, complemented
164#19098429C2211yescharacteristic, complemented
165#19098428C2211yescharacteristic, complemented
166#19098427C2211yescharacteristic, complemented
167#19098427C2211yescharacteristic, complemented
168#19098425C2211yescharacteristic
169#19098425C2211yescharacteristic
170#19098422C2211yescharacteristic
171#19098420C2211yescharacteristic
172C4×(C2×D79)⋊C4C2211yescharacteristic
173#19098410C2211yescharacteristic
174C2×#126×C79C2211yescharacteristic
175C2×#121×C79C2211yescharacteristic, complemented
176#397×C79C2211yescharacteristic, complemented
177#394×C79C2211yescharacteristic
178#394×C79C2211yescharacteristic, complemented
179#392×C79C2211yescharacteristic
180#392×C79C2211yescharacteristic
181#392×C79C2211yescharacteristic
182#390×C79C2211yescharacteristic
183#390×C79C2211yescharacteristic, complemented
184#390×C79C2211yescharacteristic, complemented
185#388×C79C2211yescharacteristic, complemented
186#387×C79C2211yescharacteristic, complemented
187#386×C79C2211yescharacteristic
188#385×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C2×#11929624—24no—
191C2×#11929624—42no—
192C2×#11929624—42no—
193C2×#11929623—24no—
194C2×#11929623—42no—
195C2×#11929623—42no—
196C22×Dic158C2311yescharacteristic
197C22×Dic158C2311yescharacteristic
198C22×D316C2311yescharacteristic
199C22×D316C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C22×C22⋊D79C2311yescharacteristic
205C22×C22⋊D79C2311yescharacteristic
206C22×C22⋊D79C2311yescharacteristic
207C22×C22⋊D79C2311yescharacteristic
208C22×C22⋊D79C2311yescharacteristic
209C22×C22⋊D79C2311yescharacteristic
210C23×Dic79C2311yescharacteristic
211C23×Dic79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218C22×C4×D79C2311yescharacteristic
219#14579156—24no—
220#14579156—24no—
221#14579156—24no—
222#14579155—24no—
223#14579154—24no—
224#14579154—24no—
225#14579154—24no—
226#14579146—42no—
227#14579143—42no—
228#14579143—42no—
229#14579143—42no—
230#14579141—24no—
231#14579140—24no—
232#14579138—24no—
233#14579138—24no—
234#14579134—24no—
235#14579134—24no—
236#14579133—24no—
237#14579133—24no—
238#14579132—24no—
239#14579132—24no—
240#14579132—24no—
241#14579131—42no—
242#14579129—42no—
243#14579129—42no—
244#14579129—42no—
245C2×C4⋊Dic79C2311yescharacteristic
246C2×C4⋊Dic79C2311yescharacteristic
247C2×C4⋊Dic79C2311yescharacteristic
248C2×C4⋊Dic79C2311yescharacteristic
249C2×C4⋊Dic79C2311yescharacteristic
250C2×C4⋊Dic79C2311yescharacteristic
251C2×C4⋊Dic79C2311yescharacteristic
252C2×C4⋊Dic79C2311yescharacteristic
253C2×C4⋊Dic79C2311yescharacteristic
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
268C4⋊C4×D79—24no—
269C4⋊C4×D79—24no—
270C4⋊C4×D79D418yescomplemented
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×C22⋊Dic79C2311yescharacteristic
285C2×C22⋊Dic79C2311yescharacteristic
286C2×C22⋊Dic79C2311yescharacteristic
287C2×C22⋊Dic79C2311yescharacteristic
288C2×C22⋊Dic79C2311yescharacteristic
289C2×C22⋊Dic79C2311yescharacteristic
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
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×(C2×D79)⋊C4C2311yescharacteristic
308C2×(C2×D79)⋊C4C2311yescharacteristic
309C2×(C2×D79)⋊C4C2311yescharacteristic
310C2×(C2×D79)⋊C4C2311yescharacteristic
311C2×(C2×D79)⋊C4C2311yescharacteristic
312C22⋊C4×D79—24no—
313C22⋊C4×D79—24no—
314C22⋊C4×D79—24no—
315C2×C4×Dic79C2311yescharacteristic
316C2×C4×Dic79C2311yescharacteristic
317C2×C4×Dic79C2311yescharacteristic
318C2×C4×Dic79C2311yescharacteristic
319C2×C4×Dic79C2311yescharacteristic
320C2×C4×Dic79C2311yescharacteristic
321C42×D79—24no—
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
346C79⋊#95C2311yescharacteristic
347C79⋊#95C2311yescharacteristic
348C22×D4×C79C2311yescharacteristic
349C22×D4×C79C2311yescharacteristic
350C22×D4×C79C2311yescharacteristic
351C22×D4×C79C2311yescharacteristic
352C22×D4×C79C2311yescharacteristic
353C22×D4×C79C2311yescharacteristic
354C23×C4×C79C2311yescharacteristic
355#126×C79—24no—
356#121×C79—24no—
357C2×C4⋊C4×C79C2311yescharacteristic
358C2×C4⋊C4×C79C2311yescharacteristic
359C2×C4⋊C4×C79C2311yescharacteristic
360C2×C4⋊C4×C79C2311yescharacteristic
361C2×C4⋊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×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×C22⋊C4×C79C2311yescharacteristic
377C2×C42×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—22no—
388C23×D79—41no—
389C23×D79—41no—
390C23×D79—41no—
391C23×D79—41no—
392C23×D79C2411yescharacteristic
393C23×D79C2411yescharacteristic
394C23×D79C2411yescharacteristic
395#11929624—416no—
396#11929623—416no—
397C2×Dic158—22no—
398C2×Dic158—22no—
399C2×Dic158—41no—
400C2×Dic158—41no—
401C2×Dic158—41no—
402C2×Dic158—41no—
403C2×D316—22no—
404C2×D316—22no—
405C2×D316—22no—
406C2×D316—41no—
407C2×D316—41no—
408C2×D316—41no—
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—22no—
416C2×C22⋊D79—22no—
417C2×C22⋊D79—22no—
418C2×C22⋊D79—22no—
419C2×C22⋊D79—22no—
420C2×C22⋊D79—22no—
421C2×C22⋊D79—41no—
422C2×C22⋊D79—41no—
423C2×C22⋊D79—41no—
424C2×C22⋊D79—41no—
425C2×C22⋊D79—41no—
426C2×C22⋊D79—41no—
427C2×C22⋊D79—41no—
428C2×C22⋊D79—41no—
429C2×C22⋊D79—41no—
430C2×C22⋊D79—41no—
431C2×C22⋊D79—41no—
432C2×C22⋊D79—41no—
433C2×C22⋊D79—41no—
434C2×C22⋊D79—41no—
435C2×C22⋊D79—41no—
436C2×C22⋊D79—41no—
437C2×C22⋊D79—41no—
438C2×C22⋊D79—41no—
439C22×Dic79—22no—
440C22×Dic79—22no—
441C22×Dic79—41no—
442C22×Dic79—41no—
443C22×Dic79—41no—
444C22×Dic79—41no—
445C22×Dic79C2411yescharacteristic
446C22×Dic79C2411yescharacteristic
447C22×Dic79C2411yescharacteristic
448C22×Dic79C2411yescharacteristic
449C22×Dic79C2411yescharacteristic
450C22×Dic79C2411yescharacteristic
451C22×Dic79C2411yescharacteristic
452C22×Dic79C2411yescharacteristic
453C22×Dic79C2411yescharacteristic
454C22×Dic79C2411yescharacteristic
455C22×Dic79C2411yescharacteristic
456C22×Dic79C2411yescharacteristic
457C22×Dic79C2411yescharacteristic
458C2×C4×D79—22no—
459C2×C4×D79—22no—
460C2×C4×D79—22no—
461C2×C4×D79—22no—
462C2×C4×D79—22no—
463C2×C4×D79—22no—
464C2×C4×D79—22no—
465C2×C4×D79—22no—
466C2×C4×D79—41no—
467C2×C4×D79—41no—
468C2×C4×D79—41no—
469C2×C4×D79—41no—
470C2×C4×D79—41no—
471C2×C4×D79—41no—
472C2×C4×D79—41no—
473C2×C4×D79—41no—
474C2×C4×D79—41no—
475C2×C4×D79—41no—
476C2×C4×D79C2×D414yes—
477C2×C4×D79C2×D414yes—
478C2×C4×D79C2×D414yes—
479C4⋊Dic79—22no—
480C4⋊Dic79—22no—
481C4⋊Dic79—22no—
482C4⋊Dic79—22no—
483C4⋊Dic79—41no—
484C4⋊Dic79—41no—
485C4⋊Dic79—41no—
486C4⋊Dic79—41no—
487C4⋊Dic79C2×D414yes—
488Dic79⋊C4—22no—
489Dic79⋊C4—22no—
490Dic79⋊C4—22no—
491Dic79⋊C4—22no—
492Dic79⋊C4—22no—
493Dic79⋊C4—22no—
494Dic79⋊C4—41no—
495Dic79⋊C4—41no—
496Dic79⋊C4—41no—
497Dic79⋊C4—41no—
498Dic79⋊C4—41no—
499Dic79⋊C4—41no—
500Dic79⋊C4C2×D414yes—
501Dic79⋊C4C2×D414yes—
502C22⋊Dic79—22no—
503C22⋊Dic79—22no—
504C22⋊Dic79—22no—
505C22⋊Dic79—22no—
506C22⋊Dic79—22no—
507C22⋊Dic79—22no—
508C22⋊Dic79—22no—
509C22⋊Dic79—41no—
510C22⋊Dic79—41no—
511C22⋊Dic79—41no—
512C22⋊Dic79—41no—
513C22⋊Dic79—41no—
514C22⋊Dic79—41no—
515C22⋊Dic79—41no—
516C22⋊Dic79—41no—
517C22⋊Dic79—41no—
518C22⋊Dic79—41no—
519C22⋊Dic79—41no—
520C22⋊Dic79—41no—
521(C2×D79)⋊C4—22no—
522(C2×D79)⋊C4—22no—
523(C2×D79)⋊C4—22no—
524(C2×D79)⋊C4—22no—
525(C2×D79)⋊C4—22no—
526(C2×D79)⋊C4—22no—
527(C2×D79)⋊C4—22no—
528(C2×D79)⋊C4—22no—
529(C2×D79)⋊C4—22no—
530(C2×D79)⋊C4—22no—
531(C2×D79)⋊C4—22no—
532(C2×D79)⋊C4—22no—
533(C2×D79)⋊C4—41no—
534(C2×D79)⋊C4—41no—
535(C2×D79)⋊C4—41no—
536(C2×D79)⋊C4—41no—
537(C2×D79)⋊C4—41no—
538(C2×D79)⋊C4—41no—
539(C2×D79)⋊C4—41no—
540(C2×D79)⋊C4—41no—
541(C2×D79)⋊C4—41no—
542(C2×D79)⋊C4—41no—
543C4×Dic79—22no—
544C4×Dic79—22no—
545C4×Dic79—22no—
546C4×Dic79—41no—
547C4×Dic79—41no—
548C4×Dic79—41no—
549C24×C79C2411yescharacteristic
550C24×C79C2411yescharacteristic
551C24×C79C2411yescharacteristic
552C24×C79C2411yescharacteristic
553C2×D4×C79—22no—
554C2×D4×C79—22no—
555C2×D4×C79—22no—
556C2×D4×C79—41no—
557C2×D4×C79—41no—
558C2×D4×C79—41no—
559C2×D4×C79—41no—
560C2×D4×C79—41no—
561C2×D4×C79—41no—
562C2×D4×C79—41no—
563C2×D4×C79—41no—
564C2×D4×C79—41no—
565C2×D4×C79—41no—
566C2×D4×C79—41no—
567C2×D4×C79—41no—
568C2×D4×C79—41no—
569C2×D4×C79—41no—
570C2×D4×C79—41no—
571C22×C4×C79—22no—
572C22×C4×C79—41no—
573C22×C4×C79—41no—
574C22×C4×C79C2411yescharacteristic
575C22×C4×C79C2411yescharacteristic
576C22×C4×C79C2411yescharacteristic
577C22×C4×C79C2411yescharacteristic
578C22×C4×C79C2411yescharacteristic
579C22×C4×C79C2411yescharacteristic
580C22×C4×C79C2411yescharacteristic
581C22×C4×C79C2411yescharacteristic
582C22×C4×C79C2411yescharacteristic
583C22×C4×C79C2411yescharacteristic
584C22×C4×C79C2411yescharacteristic
585C4⋊C4×C79—22no—
586C4⋊C4×C79—22no—
587C4⋊C4×C79—41no—
588C4⋊C4×C79—41no—
589C4⋊C4×C79C2×D414yes—
590C22⋊C4×C79—22no—
591C22⋊C4×C79—22no—
592C22⋊C4×C79—22no—
593C22⋊C4×C79—22no—
594C22⋊C4×C79—22no—
595C22⋊C4×C79—41no—
596C22⋊C4×C79—41no—
597C22⋊C4×C79—41no—
598C22⋊C4×C79—41no—
599C22⋊C4×C79—41no—
600C22⋊C4×C79—41no—
601C22⋊C4×C79—41no—
602C22⋊C4×C79—41no—
603C22⋊C4×C79—41no—
604C22⋊C4×C79—41no—
605C42×C79—22no—
606C42×C79—41no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79—21no—
611C23×C79—21no—
612C23×C79—21no—
613C23×C79—21no—
614C23×C79—21no—
615C23×C79—21no—
616C23×C79—21no—
617C23×C79—21no—
618C23×C79—21no—
619C23×C79—21no—
620C23×C79—21no—
621C23×C79—21no—
622C23×C79—21no—
623C23×C79—21no—
624C23×C79—21no—
625C23×C79—21no—
626C23×C79—21no—
627C23×C79—21no—
628C23×C79—21no—
629C23×C79—21no—
630C23×C79—21no—
631C23×C79—21no—
632C23×C79—21no—
633C23×C79—21no—
634C23×C79—21no—
635C23×C79C2511yescharacteristic
636C22×D79—21no—
637C22×D79—21no—
638C22×D79—21no—
639C22×D79—21no—
640C22×D79—21no—
641C22×D79—21no—
642C22×D79—21no—
643C22×D79—21no—
644C22×D79—21no—
645C22×D79—21no—
646C22×D79—21no—
647C22×D79—21no—
648C22×D79—21no—
649C22×D79—21no—
650C22×D79—21no—
651C22×D79—21no—
652C22×D79—21no—
653C22×D79—21no—
654C22×D79—44no—
655C22×D79—44no—
656C22×D79—44no—
657C22×D79—82no—
658C22×D79—82no—
659C22×D79—82no—
660C22×D79—82no—
661C22×D79C22×D412yes—
662C22×D79H(5,𝔽2)12yes—
663C22×D79H(5,𝔽2)12yes—
664D4×C79—44no—
665D4×C79—82no—
666D4×C79—82no—
667D4×C79—82no—
668D4×C79—82no—
669D4×C79—82no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—21no—
687C2×C4×C79—21no—
688C2×C4×C79—21no—
689C2×C4×C79—21no—
690C2×C4×C79—21no—
691C2×C4×C79—21no—
692C2×C4×C79—21no—
693C2×C4×C79—21no—
694C2×C4×C79—21no—
695C2×C4×C79—21no—
696C2×C4×C79—21no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—44no—
701C2×C4×C79C22×D412yes—
702C2×C4×C79C22×D412yes—
703C2×C4×C79C22×D412yes—
704C22⋊D79—44no—
705C22⋊D79—44no—
706C22⋊D79—44no—
707C22⋊D79—44no—
708C22⋊D79—82no—
709C22⋊D79—82no—
710C22⋊D79—82no—
711C22⋊D79—82no—
712C22⋊D79—82no—
713C22⋊D79—82no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—21no—
731C2×Dic79—21no—
732C2×Dic79—21no—
733C2×Dic79—21no—
734C2×Dic79—21no—
735C2×Dic79—21no—
736C2×Dic79—21no—
737C2×Dic79—21no—
738C2×Dic79—21no—
739C2×Dic79—21no—
740C2×Dic79—21no—
741C2×Dic79—21no—
742C2×Dic79—21no—
743C2×Dic79—21no—
744C2×Dic79—21no—
745C2×Dic79—21no—
746C2×Dic79—21no—
747C2×Dic79—21no—
748C2×Dic79—21no—
749C2×Dic79—21no—
750C2×Dic79—44no—
751C2×Dic79—44no—
752C2×Dic79C22×D412yes—
753C2×Dic79C22×D412yes—
754C2×Dic79C22×D412yes—
755D316—44no—
756D316—82no—
757C4×D79—28no—
758C4×D79—44no—
759C4×D79—44no—
760C4×D79—44no—
761C4×D79—44no—
762C4×D79—44no—
763C4×D79—44no—
764Dic158—44no—
765Dic158—44no—
766C22×C79—41no—
767C22×C79—41no—
768C22×C79—41no—
769C22×C79—41no—
770C22×C79—41no—
771C22×C79—41no—
772C22×C79—41no—
773C22×C79—41no—
774C22×C79—41no—
775C22×C79—41no—
776C22×C79—41no—
777C22×C79—41no—
778C22×C79—41no—
779C22×C79—41no—
780C22×C79—41no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79—41no—
784C22×C79—41no—
785C22×C79—41no—
786C22×C79—41no—
787C22×C79—41no—
788C22×C79—41no—
789C22×C79—41no—
790C22×C79—41no—
791C22×C79—41no—
792C22×C79—41no—
793C22×C79—41no—
794C22×C79C23×D411yescharacteristic
795C22×C79C2×H(5,𝔽2)11yescharacteristic
796C22×C79C2×H(5,𝔽2)11yescharacteristic
797C22×C79#58511yescharacteristic
798C22×C79#58511yescharacteristic
799C22×C79#58511yescharacteristic
800C22×C79#58511yescharacteristic
801C2×D79—22no—
802C2×D79—22no—
803C2×D79—22no—
804C2×D79—22no—
805C2×D79—22no—
806C2×D79—22no—
807C2×D79—41no—
808C2×D79—41no—
809C2×D79—41no—
810C2×D79—41no—
811C2×D79—41no—
812C2×D79—41no—
813C2×D79—41no—
814C2×D79—41no—
815C2×D79—41no—
816C2×D79—41no—
817C2×D79—41no—
818C2×D79—41no—
819C2×D79—41no—
820C2×D79—41no—
821C2×D79—88no—
822C2×D79#53514yes—
823C4×C79—22no—
824C4×C79—22no—
825C4×C79—22no—
826C4×C79—41no—
827C4×C79—41no—
828C4×C79—41no—
829C4×C79—41no—
830C4×C79—41no—
831C4×C79—41no—
832C4×C79—41no—
833C4×C79—41no—
834Dic79—22no—
835Dic79—22no—
836Dic79—22no—
837Dic79—41no—
838Dic79—41no—
839Dic79—41no—
840Dic79—41no—
841Dic79—41no—
842Dic79—41no—
843Dic79—41no—
844Dic79—41no—
845Dic79—41no—
846Dic79—41no—
847#36961—791nomaximal, Sylow
848C2×C79—81no—
849C2×C79—81no—
850C2×C79—81no—
851C2×C79—81no—
852C2×C79C2×#53511yescharacteristic
853C2×C79#348511yescharacteristic
854C2×C79#348711yescharacteristic
855C2×C79#356011yescharacteristic
856C2×C79#356011yescharacteristic
857C2×C79#356011yescharacteristic
858C2×C79#356011yescharacteristic
859D79—24no—
860D79—81no—
861D79—81no—
862C2×#537—791no—
863C22×#126—791no—
864#2854—791no—
865#2854—791no—
866#2723—791no—
867#2723—791no—
868#2723—791no—
869#2723—791no—
870#2723—791no—
871#2723—791no—
872#2723—791no—
873#2723—791no—
874#2714—791no—
875#2714—791no—
876#2714—791no—
877#2714—791no—
878#2714—791no—
879#2714—791no—
880#2714—791no—
881#2714D7911yescharacteristic, complemented
882#2617—791no—
883#2617—791no—
884#2539—791no—
885#2539—791no—
886#2504—791no—
887#2504—791no—
888#2406—791no—
889#2406—791no—
890#2404—791no—
891#2404—791no—
892#2313—791no—
893C79#3696111yescharacteristic, complemented, Sylow
894C22×#41—791no—
895C22×#41—791no—
896#537—1588no—
897C2×#126—791no—
898C2×#126—791no—
899C2×#126—791no—
900C2×#126—791no—
901C2×#126—791no—
902C2×#126—791no—
903C2×#126—791no—
904C2×#126—1588no—
905C2×#126C2×D7911yescharacteristic
906C2×#123—791no—
907C2×#123—791no—
908C2×#123—791no—
909C2×#123—791no—
910C2×C22⋊Q8—791no—
911C2×C22⋊Q8—791no—
912C2×C22⋊Q8—791no—
913C2×C22⋊Q8—791no—
914C2×#121—791no—
915C2×#121—791no—
916C2×#121—791no—
917C2×#121—791no—
918C2×#121—791no—
919C2×#121—791no—
920C2×#121—791no—
921C2×#121C2×D7911yescharacteristic, complemented
922C2×#120—791no—
923C2×#120—791no—
924C2×#120—791no—
925C2×#120—791no—
926C22×C4⋊C4—791no—
927C22×C4⋊C4—791no—
928C22×C4⋊C4—791no—
929C22×C22⋊C4—791no—
930C22×C22⋊C4—791no—
931C22×C22⋊C4—791no—
932C22×C42—791no—
933#399—791no—
934#399—791no—
935#399—791no—
936#399—791no—
937#397—791no—
938#397—791no—
939#397—791no—
940#397—791no—
941#397—791no—
942#397—791no—
943#397—791no—
944#397—791no—
945#397—791no—
946#397—791no—
947#397—791no—
948#397C2×D7911yescharacteristic, complemented
949#395—791no—
950#395—791no—
951#395—791no—
952#395—791no—
953#394—791no—
954#394—791no—
955#394—791no—
956#394—791no—
957#394—791no—
958#394—791no—
959#394—791no—
960#394—791no—
961#394—791no—
962#394—791no—
963#394C2×D7911yescharacteristic
964#394C2×D7911yescharacteristic, complemented
965#393—791no—
966#393—791no—
967#393—791no—
968#393—791no—
969#392—791no—
970#392—791no—
971#392—791no—
972#392—791no—
973#392—791no—
974#392—791no—
975#392—791no—
976#392—791no—
977#392—791no—
978#392C2×D7911yescharacteristic
979#392C2×D7911yescharacteristic
980#392C2×D7911yescharacteristic
981#390—791no—
982#390—791no—
983#390—791no—
984#390—791no—
985#390—791no—
986#390—791no—
987#390—791no—
988#390—791no—
989#390—791no—
990#390—791no—
991#390—791no—
992#390—791no—
993#390—791no—
994#390C2×D7911yescharacteristic
995#390C2×D7911yescharacteristic, complemented
996#390C2×D7911yescharacteristic, complemented
997#389—791no—
998#389—791no—
999#389—791no—
1000#389—791no—
1001#388—791no—
1002#388—791no—
1003#388—791no—
1004#388—791no—
1005#388—791no—
1006#388—791no—
1007#388—791no—
1008#388C2×D7911yescharacteristic, complemented
1009#387—791no—
1010#387—791no—
1011#387—791no—
1012#387—791no—
1013#387—791no—
1014#387—791no—
1015#387—791no—
1016#387C2×D7911yescharacteristic, complemented
1017#386—791no—
1018#386—791no—
1019#386—791no—
1020#386—791no—
1021#386—791no—
1022#386—791no—
1023#386—791no—
1024#386—791no—
1025#386—791no—
1026#386—791no—
1027#386—791no—
1028#386—791no—
1029#386—791no—
1030#386—791no—
1031#386—791no—
1032#386C2×D7911yescharacteristic
1033#385—791no—
1034#385—791no—
1035#385—791no—
1036#385—791no—
1037#385—791no—
1038#385—791no—
1039#385—791no—
1040#385C2×D7911yescharacteristic, complemented
1041#382—791no—
1042#382—791no—
1043#382—791no—
1044#382—791no—
1045#381—791no—
1046#381—791no—
1047#380—791no—
1048#380—791no—
1049C4×C22⋊C4—791no—
1050C4×C22⋊C4—791no—
1051C25—791no—
1052C2×#41—3162no—
1053C2×#41—3162no—
1054C2×#41—3162no—
1055C2×#41—3162no—
1056C2×#41—1584no—
1057C2×#41—1584no—
1058C22×Q8—791no—
1059C22×Q8—791no—
1060C22×D4—791no—
1061C22×D4—791no—
1062C22×D4—791no—
1063C22×D4—791no—
1064C22×D4—791no—
1065C22×D4—791no—
1066C22×D4—791no—
1067C22×D4—791no—
1068C22×D4—791no—
1069C22×D4—791no—
1070C22×D4—791no—
1071C22×D4—791no—
1072C22×D4C22×D7911yescharacteristic
1073C22×D4C22×D7911yescharacteristic
1074C22×D4C22×D7911yescharacteristic
1075C22×D4C22×D7911yescharacteristic
1076C22×D4C22×D7911yescharacteristic
1077C22×D4C22×D7911yescharacteristic
1078C23×C4—791no—
1079C23×C4—791no—
1080C23×C4—791no—
1081C23×C4—791no—
1082C23×C4—791no—
1083C23×C4—791no—
1084C23×C4—791no—
1085C23×C4—791no—
1086C23×C4—791no—
1087C23×C4C22×D7911yescharacteristic
1088#126—24no—
1089#126—1584no—
1090#126—1584no—
1091#126—1584no—
1092#126—1584no—
1093#126—1584no—
1094#126—1584no—
1095#126—1584no—
1096#123—3162no—
1097#123—3162no—
1098#123—3162no—
1099#123—3162no—
1100C22⋊Q8—1584no—
1101C22⋊Q8—1584no—
1102C22⋊Q8—1584no—
1103C22⋊Q8—1584no—
1104#121—24no—
1105#121—1584no—
1106#121—1584no—
1107#121—1584no—
1108#121—1584no—
1109#121—1584no—
1110#121—1584no—
1111#121—1584no—
1112#120—3162no—
1113#120—3162no—
1114#120—3162no—
1115#120—3162no—
1116C2×C4⋊C4—791no—
1117C2×C4⋊C4—791no—
1118C2×C4⋊C4—791no—
1119C2×C4⋊C4—791no—
1120C2×C4⋊C4—791no—
1121C2×C4⋊C4—791no—
1122C2×C4⋊C4—791no—
1123C2×C4⋊C4—791no—
1124C2×C4⋊C4—791no—
1125C2×C4⋊C4—791no—
1126C2×C4⋊C4—791no—
1127C2×C4⋊C4—791no—
1128C2×C4⋊C4—791no—
1129C2×C4⋊C4—798no—
1130C2×C4⋊C4—791no—
1131C2×C4⋊C4—791no—
1132C2×C4⋊C4—791no—
1133C2×C4⋊C4—791no—
1134C2×C4⋊C4—791no—
1135C2×C4⋊C4—791no—
1136C2×C4⋊C4—791no—
1137C2×C4⋊C4—791no—
1138C2×C4⋊C4—791no—
1139C2×C4⋊C4—791no—
1140C2×C4⋊C4—1584no—
1141C2×C4⋊C4—1584no—
1142C2×C4⋊C4C22×D7911yescharacteristic
1143C2×C4⋊C4C22×D7911yescharacteristic
1144C2×C4⋊C4C22×D7911yescharacteristic
1145C2×C4⋊C4C22×D7911yescharacteristic
1146C2×C4⋊C4C22×D7911yescharacteristic
1147C2×C22⋊C4—791no—
1148C2×C22⋊C4—791no—
1149C2×C22⋊C4—791no—
1150C2×C22⋊C4—791no—
1151C2×C22⋊C4—791no—
1152C2×C22⋊C4—791no—
1153C2×C22⋊C4—791no—
1154C2×C22⋊C4—791no—
1155C2×C22⋊C4—791no—
1156C2×C22⋊C4—791no—
1157C2×C22⋊C4—791no—
1158C2×C22⋊C4—791no—
1159C2×C22⋊C4—791no—
1160C2×C22⋊C4—791no—
1161C2×C22⋊C4—791no—
1162C2×C22⋊C4—791no—
1163C2×C22⋊C4—791no—
1164C2×C22⋊C4—791no—
1165C2×C22⋊C4—791no—
1166C2×C22⋊C4—791no—
1167C2×C22⋊C4—791no—
1168C2×C22⋊C4—791no—
1169C2×C22⋊C4—791no—
1170C2×C22⋊C4—791no—
1171C2×C22⋊C4—791no—
1172C2×C22⋊C4—791no—
1173C2×C22⋊C4—791no—
1174C2×C22⋊C4—791no—
1175C2×C22⋊C4—791no—
1176C2×C22⋊C4—791no—
1177C2×C22⋊C4—791no—
1178C2×C22⋊C4—791no—
1179C2×C22⋊C4—791no—
1180C2×C22⋊C4—791no—
1181C2×C22⋊C4—791no—
1182C2×C22⋊C4—791no—
1183C2×C22⋊C4—791no—
1184C2×C22⋊C4—791no—
1185C2×C22⋊C4—791no—
1186C2×C22⋊C4—791no—
1187C2×C22⋊C4—791no—
1188C2×C22⋊C4—1584no—
1189C2×C22⋊C4—1584no—
1190C2×C22⋊C4—1584no—
1191C2×C22⋊C4C22×D7911yescharacteristic
1192C2×C22⋊C4C22×D7911yescharacteristic
1193C2×C22⋊C4C22×D7911yescharacteristic
1194C2×C22⋊C4C22×D7911yescharacteristic
1195C2×C22⋊C4C22×D7911yescharacteristic
1196C2×C22⋊C4C22×D7911yescharacteristic
1197C2×C22⋊C4C22×D7911yescharacteristic
1198C2×C22⋊C4C22×D7911yescharacteristic
1199C2×C22⋊C4C22×D7911yescharacteristic
1200C2×C22⋊C4C22×D7911yescharacteristic
1201C2×C22⋊C4C22×D7911yescharacteristic
1202C2×C22⋊C4C22×D7911yescharacteristic
1203C2×C22⋊C4C22×D7911yescharacteristic
1204C2×C22⋊C4C22×D7911yescharacteristic
1205C2×C22⋊C4C22×D7911yescharacteristic
1206C2×C42—791no—
1207C2×C42—791no—
1208C2×C42—791no—
1209C2×C42—791no—
1210C2×C42—791no—
1211C2×C42—791no—
1212C2×C42—1584no—
1213C2×C42C22×D7911yescharacteristic
1214C2×C42C22×D7911yescharacteristic
1215#95—791no—
1216#95—791no—
1217#95—791no—
1218#95—791no—
1219#95—791no—
1220#95—791no—
1221#95—791no—
1222#95—791no—
1223#95—791no—
1224#95—791no—
1225#95—791no—
1226#95—791no—
1227#95—791no—
1228#95—791no—
1229#95—791no—
1230#95—791no—
1231#95—791no—
1232#95—791no—
1233#95—791no—
1234#95—791no—
1235#95—791no—
1236#95—791no—
1237#95—791no—
1238#95—791no—
1239#95—791no—
1240#95—791no—
1241#95C22×D7911yescharacteristic
1242#95C22×D7911yescharacteristic
1243#95C22×D7911yescharacteristic
1244#95C22×D7911yescharacteristic
1245#95C22×D7911yescharacteristic
1246#95C22×D7911yescharacteristic
1247C24—3161no—
1248C24—3161no—
1249C24—3161no—
1250C24—3161no—
1251C24—791no—
1252C24—791no—
1253C24—791no—
1254C24—1582no—
1255C24—1582no—
1256C24—1582no—
1257C24C23×D7911yescharacteristic
1258C24C23×D7911yescharacteristic
1259C24C23×D7911yescharacteristic
1260C24C23×D7911yescharacteristic
1261#41—31616no—
1262#41—31616no—
1263C2×Q8—3161no—
1264C2×Q8—3161no—
1265C2×Q8—3161no—
1266C2×Q8—3161no—
1267C2×Q8—1582no—
1268C2×Q8—1582no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—3161no—
1288C2×D4—3161no—
1289C2×D4—3161no—
1290C2×D4—3161no—
1291C2×D4—3161no—
1292C2×D4—3161no—
1293C2×D4—3161no—
1294C2×D4—3161no—
1295C2×D4—3161no—
1296C2×D4—3161no—
1297C2×D4—3161no—
1298C2×D4—3161no—
1299C2×D4—3161no—
1300C2×D4—3161no—
1301C2×D4—3161no—
1302C2×D4—3161no—
1303C2×D4—3161no—
1304C2×D4—3161no—
1305C2×D4—3161no—
1306C2×D4—3161no—
1307C2×D4—3161no—
1308C2×D4—1582no—
1309C2×D4—1582no—
1310C2×D4—1582no—
1311C2×D4—1582no—
1312C2×D4—1582no—
1313C2×D4—1582no—
1314C2×D4—1582no—
1315C2×D4—1582no—
1316C2×D4—1582no—
1317C2×D4—1582no—
1318C2×D4—1582no—
1319C2×D4—1582no—
1320C2×D4—1582no—
1321C2×D4—1582no—
1322C2×D4—1582no—
1323C22×C4—22no—
1324C22×C4—41no—
1325C22×C4—41no—
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—3161no—
1339C22×C4—3161no—
1340C22×C4—794no—
1341C22×C4—794no—
1342C22×C4—791no—
1343C22×C4—791no—
1344C22×C4—791no—
1345C22×C4—794no—
1346C22×C4—791no—
1347C22×C4—791no—
1348C22×C4—791no—
1349C22×C4—791no—
1350C22×C4—791no—
1351C22×C4—791no—
1352C22×C4—791no—
1353C22×C4—791no—
1354C22×C4—791no—
1355C22×C4—791no—
1356C22×C4—1582no—
1357C22×C4—1582no—
1358C22×C4—1582no—
1359C22×C4—1582no—
1360C22×C4—1582no—
1361C22×C4—1582no—
1362C22×C4—1582no—
1363C22×C4—1582no—
1364C22×C4—1582no—
1365C22×C4—1582no—
1366C22×C4C23×D7911yescharacteristic
1367C22×C4C23×D7911yescharacteristic
1368C22×C4C23×D7911yescharacteristic
1369C22×C4C23×D7911yescharacteristic
1370C22×C4C23×D7911yescharacteristic
1371C22×C4C23×D7911yescharacteristic
1372C22×C4C23×D7911yescharacteristic
1373C22×C4C23×D7911yescharacteristic
1374C22×C4C23×D7911yescharacteristic
1375C22×C4C23×D7911yescharacteristic
1376C22×C4C23×D7911yescharacteristic
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—41no—
1380C4⋊C4—41no—
1381C4⋊C4—3161no—
1382C4⋊C4—3161no—
1383C4⋊C4—3161no—
1384C4⋊C4—3161no—
1385C4⋊C4—3161no—
1386C4⋊C4—3161no—
1387C4⋊C4—3161no—
1388C4⋊C4—3161no—
1389C4⋊C4—3161no—
1390C4⋊C4—3161no—
1391C4⋊C4—794no—
1392C4⋊C4—794no—
1393C4⋊C4—794no—
1394C4⋊C4—1582no—
1395C4⋊C4—1582no—
1396C4⋊C4—1582no—
1397C4⋊C4—1582no—
1398C4⋊C4—1582no—
1399C4⋊C4—1582no—
1400C4⋊C4—1582no—
1401C4⋊C4—1582no—
1402C4⋊C4—1582no—
1403C4⋊C4—1582no—
1404C4⋊C4D4×D7914yes—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—3161no—
1421C22⋊C4—3161no—
1422C22⋊C4—3161no—
1423C22⋊C4—3161no—
1424C22⋊C4—3161no—
1425C22⋊C4—3161no—
1426C22⋊C4—3161no—
1427C22⋊C4—3161no—
1428C22⋊C4—3161no—
1429C22⋊C4—3161no—
1430C22⋊C4—3161no—
1431C22⋊C4—3161no—
1432C22⋊C4—3161no—
1433C22⋊C4—3161no—
1434C22⋊C4—3161no—
1435C22⋊C4—3161no—
1436C22⋊C4—3161no—
1437C22⋊C4—3161no—
1438C22⋊C4—3161no—
1439C22⋊C4—3161no—
1440C22⋊C4—3161no—
1441C22⋊C4—3161no—
1442C22⋊C4—1582no—
1443C22⋊C4—1582no—
1444C22⋊C4—1582no—
1445C22⋊C4—1582no—
1446C22⋊C4—1582no—
1447C22⋊C4—1582no—
1448C22⋊C4—1582no—
1449C22⋊C4—1582no—
1450C22⋊C4—1582no—
1451C22⋊C4—1582no—
1452C22⋊C4—1582no—
1453C22⋊C4—1582no—
1454C22⋊C4—1582no—
1455C22⋊C4—1582no—
1456C22⋊C4—1582no—
1457C22⋊C4—1582no—
1458C22⋊C4—1582no—
1459C22⋊C4—1582no—
1460C22⋊C4—1582no—
1461C42—22no—
1462C42—41no—
1463C42—3161no—
1464C42—3161no—
1465C42—3161no—
1466C42—1582no—
1467C42—1582no—
1468C42—1582no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—3164no—
1498C23—3164no—
1499C23—3164no—
1500C23—792no—
1501C23—792no—
1502C23—792no—
1503C23—6322no—
1504C23—6322no—
1505C23—6322no—
1506C23—6322no—
1507C23—1581no—
1508C23—1581no—
1509C23—1581no—
1510C23—1581no—
1511C23—1581no—
1512C23—1581no—
1513C23—1581no—
1514C23—1581no—
1515C23—1581no—
1516C23—1581no—
1517C23—1581no—
1518C23—1581no—
1519C23—1581no—
1520C23—1581no—
1521C23—1581no—
1522C23—1581no—
1523C23—1581no—
1524C23—1581no—
1525C23C24×D7911yescharacteristic
1526Q8—3164no—
1527Q8—3164no—
1528D4—44no—
1529D4—82no—
1530D4—82no—
1531D4—82no—
1532D4—82no—
1533D4—82no—
1534D4—3164no—
1535D4—3164no—
1536D4—3164no—
1537D4—3164no—
1538D4—3164no—
1539D4—6322no—
1540D4—6322no—
1541D4—6322no—
1542D4—6322no—
1543D4—6322no—
1544D4—6322no—
1545D4—6322no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—44no—
1577C2×C4—3164no—
1578C2×C4—3164no—
1579C2×C4—3164no—
1580C2×C4—3164no—
1581C2×C4—3164no—
1582C2×C4—3164no—
1583C2×C4—3164no—
1584C2×C4—3164no—
1585C2×C4—792no—
1586C2×C4—792no—
1587C2×C4—792no—
1588C2×C4—1588no—
1589C2×C4—1581no—
1590C2×C4—1581no—
1591C2×C4—1581no—
1592C2×C4—1581no—
1593C2×C4—1581no—
1594C2×C4—1581no—
1595C2×C4—1581no—
1596C2×C4—1581no—
1597C2×C4—1581no—
1598C2×C4—1581no—
1599C2×C4—1581no—
1600C2×C4—1581no—
1601C2×C4—1581no—
1602C2×C4—1581no—
1603C2×C4—1581no—
1604C2×C4—1581no—
1605C2×C4—1581no—
1606C2×C4—1581no—
1607C2×C4—1581no—
1608C2×C4—1581no—
1609C2×C4—1581no—
1610C2×C4—1581no—
1611C2×C4—1581no—
1612C2×C4—1581no—
1613C2×C4—1581no—
1614C2×C4—1581no—
1615C2×C4—1581no—
1616C2×C4—1581no—
1617C2×C4—1581no—
1618C2×C4—1581no—
1619C2×C4—1581no—
1620C2×C4—1581no—
1621C2×C4—1581no—
1622C2×C4—1581no—
1623C2×C4—1581no—
1624C2×C4—1581no—
1625C2×C4C2×D4×D7912yes—
1626C2×C4C2×D4×D7912yes—
1627C2×C4C2×D4×D7912yes—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—3161no—
1657C22—3161no—
1658C22—3161no—
1659C22—3161no—
1660C22—3161no—
1661C22—3161no—
1662C22—3161no—
1663C22—3161no—
1664C22—3161no—
1665C22—3161no—
1666C22—3161no—
1667C22—3161no—
1668C22—3161no—
1669C22—3161no—
1670C22—794no—
1671C22—6328no—
1672C22—1582no—
1673C22—1582no—
1674C22—1582no—
1675C22—1582no—
1676C22—1582no—
1677C22—1582no—
1678C22C22×D4×D7911yescharacteristic
1679C22H(5,𝔽2)×D7911yescharacteristic
1680C22H(5,𝔽2)×D7911yescharacteristic
1681C22#1909939811yescharacteristic
1682C22#1909939811yescharacteristic
1683C22#1909939911yescharacteristic
1684C22#1909939911yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—3161no—
1697C4—3161no—
1698C4—3161no—
1699C4—3161no—
1700C4—3161no—
1701C4—3161no—
1702C4—3161no—
1703C4—3161no—
1704C4—3161no—
1705C4—3161no—
1706C4—1582no—
1707C4—1582no—
1708C4—1582no—
1709C2—81no—
1710C2—81no—
1711C2—81no—
1712C2—81no—
1713C2—6321no—
1714C2—6321no—
1715C2—1584no—
1716C2#535×D7911yescharacteristic
1717C2#2377703711yescharacteristic
1718C2#2377705311yescharacteristic
1719C2#2377793911yescharacteristic
1720C2#2377794111yescharacteristic
1721C2#2377794511yescharacteristic
1722C2#2377795011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2714C2
hypercenter#2714D79
hypocenterC79#36961
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2714

Complements

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

NH ≅ G/Ntype
1. C2×#19099142C2semidirect
2. C2×#126×D79C2semidirect
3. #23771730C2semidirect
4. #23771727C2semidirect
5. #23770325C2semidirect
6. #23770323C2semidirect
7. #23770322C2semidirect
8. #23770320C2semidirect
9. #23770318C2semidirect
10. #23770317C2semidirect
11. #23770316C2semidirect
12. #23770315C2semidirect
13. #23770203C2semidirect
14. #23770201C2semidirect
15. #23770198C2semidirect
16. #23770196C2semidirect
17. #23770191C2semidirect
18. #23770190C2semidirect
19. #23770189C2semidirect
20. #23769139C2semidirect
21. #23769133C2semidirect
22. #23768329C2semidirect
23. #23768325C2semidirect
24. #23767891C2semidirect
25. #23767887C2semidirect
26. #23766733C2semidirect
27. #23766730C2semidirect
28. #23766717C2semidirect
29. #23766714C2semidirect
30. #23765999C2semidirect
31. C79×#2714C2semidirect
47. C2×#14579141C22semidirect
48. C2×#14579140C22semidirect
49. C2×#14579138C22semidirect
50. C2×#14579138C22semidirect
53. C2×#14579133C22semidirect
54. C2×#14579133C22semidirect
57. C2×#14579132C22semidirect
75. #19098491C22semidirect
76. #19098491C22semidirect
77. #19098491C22semidirect
78. #19098491C22semidirect
80. #19098490C22semidirect
81. #19098489C22semidirect
83. #19098488C22semidirect
84. #19098484C22semidirect
85. #19098484C22semidirect
86. #19098483C22semidirect
87. #19098483C22semidirect
91. #19098479C22semidirect
94. #19098478C22semidirect
97. #19098477C22semidirect
113. #19098466C22semidirect
114. #19098466C22semidirect
120. #19098463C22semidirect
121. #19098463C22semidirect
122. #19098463C22semidirect
123. #19098463C22semidirect
124. #19098462C22semidirect
125. #19098461C22semidirect
126. #19098460C22semidirect
127. #19098458C22semidirect
128. #19098457C22semidirect
129. #19098457C22semidirect
130. #19098456C22semidirect
131. #19098456C22semidirect
132. #19098455C22semidirect
133. #19098454C22semidirect
134. #19098451C22semidirect
135. #19098450C22semidirect
136. #19098449C22semidirect
137. #19098448C22semidirect
138. #19098447C22semidirect
139. #19098446C22semidirect
140. #19098445C22semidirect
141. #19098444C22semidirect
157. #19098438C22semidirect
158. #19098438C22semidirect
159. #19098437C22semidirect
160. #19098436C22semidirect
161. #19098435C22semidirect
162. #19098435C22semidirect
163. #19098434C22semidirect
164. #19098429C22semidirect
165. #19098428C22semidirect
166. #19098427C22semidirect
167. #19098427C22semidirect
175. C2×#121×C79C22semidirect
176. #397×C79C22semidirect
178. #394×C79C22semidirect
183. #390×C79C22semidirect
184. #390×C79C22semidirect
185. #388×C79C22semidirect
186. #387×C79C22semidirect
188. #385×C79C22semidirect
270. C4⋊C4×D79D4semidirect
881. #2714D79semidirect
893. C79#36961semidirect
921. C2×#121C2×D79semidirect
948. #397C2×D79semidirect
964. #394C2×D79semidirect
995. #390C2×D79semidirect
996. #390C2×D79semidirect
1008. #388C2×D79semidirect
1016. #387C2×D79semidirect
1040. #385C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991422
C2×#126×D792
#237717302
#237717272
#237703252
#237703232
#237703222
#237703202
#237703182
#237703172
#237703162
#237703152
#237702032
#237702012
#237701982
#237701962
#237701912
#237701902
#237701892
#237691392
#237691332
#237683292
#237683252
#237678912
#237678872
#237667332
#237667302
#237667172
#237667142
#237659992
C79×#27142
#3696179