Finite Group Databasebeta

← #34501878

Subgroups — #34501878

Order 20224.

2586 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099147C211yesmaximal, characteristic, complemented
2C2×#124×D79C211yesmaximal, characteristic, complemented
3#23771741C211yesmaximal, characteristic, complemented
4#23771727C211yesmaximal, characteristic, complemented
5#23770215C211yesmaximal, characteristic, complemented
6#23770211C211yesmaximal, characteristic, complemented
7#23770210C211yesmaximal, characteristic, complemented
8#23770206C211yesmaximal, characteristic, complemented
9#23770171C211yesmaximal, characteristic, complemented
10#23770170C211yesmaximal, characteristic, complemented
11#23770166C211yesmaximal, characteristic, complemented
12#23769708C211yesmaximal, characteristic, complemented
13#23769702C211yesmaximal, characteristic, complemented
14#23769700C211yesmaximal, characteristic, complemented
15#23769694C211yesmaximal, characteristic, complemented
16#23769657C211yesmaximal, characteristic, complemented
17#23769654C211yesmaximal, characteristic, complemented
18#23769649C211yesmaximal, characteristic, complemented
19#23769646C211yesmaximal, characteristic, complemented
20#23769204C211yesmaximal, characteristic, complemented
21#23769139C211yesmaximal, characteristic, complemented
22#23768294C211yesmaximal, characteristic, complemented
23#23768285C211yesmaximal, characteristic, complemented
24#23766795C211yesmaximal, characteristic, complemented
25#23766789C211yesmaximal, characteristic, complemented
26#23766773C211yesmaximal, characteristic, complemented
27#23766767C211yesmaximal, characteristic, complemented
28#23766763C211yesmaximal, characteristic, complemented
29#23766758C211yesmaximal, characteristic, complemented
30#23766011C211yesmaximal, characteristic, complemented
31C79×#2712C211yesmaximal, characteristic, complemented
32C22×Q8×D79C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34#19099147—28no—
35C2×#14579155C2211yescharacteristic, complemented
36C2×#14579154C2211yescharacteristic, complemented
37C2×#14579150C2211yescharacteristic
38C2×#14579150C2211yescharacteristic, complemented
39C2×#14579149C2211yescharacteristic
40C2×#14579148C2211yescharacteristic
41C2×#14579147C2211yescharacteristic
42C2×#14579147C2211yescharacteristic
43C2×#14579147C2211yescharacteristic
44C2×#14579147C2211yescharacteristic
45#124×D79—28no—
46C2×#14579146C2211yescharacteristic
47C2×#14579145C2211yescharacteristic, complemented
48C2×#14579143C2211yescharacteristic
49C2×#14579143C2211yescharacteristic, complemented
50C2×#14579141C2211yescharacteristic, complemented
51C2×#14579138C2211yescharacteristic, complemented
52C2×#14579138C2211yescharacteristic, complemented
53C2×#14579137C2211yescharacteristic
54C2×#14579137C2211yescharacteristic, complemented
55C2×#14579135C2211yescharacteristic
56C2×#14579134C2211yescharacteristic
57C2×#14579134C2211yescharacteristic
58C2×#14579134C2211yescharacteristic, complemented
59C2×#14579133C2211yescharacteristic
60C2×#14579133C2211yescharacteristic, complemented
61C2×#14579132C2211yescharacteristic
62C2×#14579131C2211yescharacteristic
63C2×#14579131C2211yescharacteristic
64C2×#14579129C2211yescharacteristic
65C2×#14579129C2211yescharacteristic
66C2×C4×D316C2211yescharacteristic
67C2×(C22⋊D79)⋊C4C2211yescharacteristic
68C22×(C2×D79)⋊C4C2211yescharacteristic
69C2×C22⋊C4×D79C2211yescharacteristic
70C2×C22⋊C4×D79C2211yescharacteristic
71C2×C22⋊C4×D79C2211yescharacteristic
72C2×C22⋊C4×D79C2211yescharacteristic
73C2×C22⋊C4×D79C2211yescharacteristic
74C2×C42×D79C2211yescharacteristic
75#19098500C2211yescharacteristic, complemented
76#19098499C2211yescharacteristic, complemented
77#19098492C2211yescharacteristic, complemented
78#19098492C2211yescharacteristic, complemented
79#19098491C2211yescharacteristic, complemented
80#19098491C2211yescharacteristic, complemented
81#19098490C2211yescharacteristic, complemented
82#19098487C2211yescharacteristic, complemented
83#19098487C2211yescharacteristic, complemented
84#19098486C2211yescharacteristic, complemented
85#19098486C2211yescharacteristic, complemented
86#19098486C2211yescharacteristic, complemented
87#19098486C2211yescharacteristic, complemented
88#19098485C2211yescharacteristic, complemented
89#19098485C2211yescharacteristic, complemented
90#19098484C2211yescharacteristic, complemented
91#19098484C2211yescharacteristic, complemented
92#19098484C2211yescharacteristic, complemented
93#19098482C2211yescharacteristic, complemented
94#19098481C2211yescharacteristic
95#19098481C2211yescharacteristic, complemented
96#19098480C2211yescharacteristic, complemented
97#19098479C2211yescharacteristic
98#19098479C2211yescharacteristic
99#19098479C2211yescharacteristic, complemented
100#19098479C2211yescharacteristic, complemented
101#19098479C2211yescharacteristic, complemented
102#19098479C2211yescharacteristic, complemented
103#19098479C2211yescharacteristic, complemented
104#19098478C2211yescharacteristic, complemented
105#19098478C2211yescharacteristic, complemented
106#19098478C2211yescharacteristic, complemented
107#19098477C2211yescharacteristic
108#19098476C2211yescharacteristic, complemented
109#19098476C2211yescharacteristic, complemented
110#19098475C2211yescharacteristic, complemented
111#19098474C2211yescharacteristic, complemented
112#19098473C2211yescharacteristic
113#19098472C2211yescharacteristic
114#19098472C2211yescharacteristic, complemented
115#19098471C2211yescharacteristic
116#19098471C2211yescharacteristic, complemented
117#19098470C2211yescharacteristic, complemented
118#19098469C2211yescharacteristic, complemented
119#19098467C2211yescharacteristic, complemented
120#19098467C2211yescharacteristic, complemented
121#19098463C2211yescharacteristic, complemented
122#19098463C2211yescharacteristic, complemented
123#19098462C2211yescharacteristic, complemented
124#19098461C2211yescharacteristic, complemented
125#19098460C2211yescharacteristic, complemented
126#19098458C2211yescharacteristic, complemented
127#19098456C2211yescharacteristic, complemented
128#19098455C2211yescharacteristic, complemented
129#19098454C2211yescharacteristic, complemented
130#19098454C2211yescharacteristic, complemented
131#19098452C2211yescharacteristic, complemented
132#19098451C2211yescharacteristic, complemented
133#19098446C2211yescharacteristic, complemented
134#19098446C2211yescharacteristic, complemented
135#19098445C2211yescharacteristic, complemented
136#19098445C2211yescharacteristic, complemented
137#19098443C2211yescharacteristic, complemented
138#19098443C2211yescharacteristic, complemented
139#19098441C2211yescharacteristic
140#19098441C2211yescharacteristic
141#19098441C2211yescharacteristic
142#19098441C2211yescharacteristic, complemented
143#19098441C2211yescharacteristic, complemented
144#19098441C2211yescharacteristic, complemented
145#19098440C2211yescharacteristic
146#19098440C2211yescharacteristic, complemented
147#19098439C2211yescharacteristic
148#19098439C2211yescharacteristic
149#19098439C2211yescharacteristic
150#19098439C2211yescharacteristic, complemented
151#19098438C2211yescharacteristic, complemented
152#19098437C2211yescharacteristic
153#19098437C2211yescharacteristic
154#19098437C2211yescharacteristic
155#19098437C2211yescharacteristic
156#19098437C2211yescharacteristic, complemented
157#19098437C2211yescharacteristic, complemented
158#19098436C2211yescharacteristic, complemented
159#19098435C2211yescharacteristic, complemented
160#19098434C2211yescharacteristic, complemented
161#19098434C2211yescharacteristic, complemented
162#19098425C2211yescharacteristic
163#19098425C2211yescharacteristic
164#19098423C2211yescharacteristic, complemented
165#19098422C2211yescharacteristic
166#19098422C2211yescharacteristic
167#19098422C2211yescharacteristic, complemented
168#19098421C2211yescharacteristic, complemented
169#19098420C2211yescharacteristic
170#19098420C2211yescharacteristic
171#19098420C2211yescharacteristic, complemented
172#19098418C2211yescharacteristic
173#19098418C2211yescharacteristic
174C2×#124×C79C2211yescharacteristic
175C2×#124×C79C2211yescharacteristic, complemented
176#397×C79C2211yescharacteristic, complemented
177#394×C79C2211yescharacteristic, complemented
178#394×C79C2211yescharacteristic, complemented
179#393×C79C2211yescharacteristic, complemented
180#393×C79C2211yescharacteristic, complemented
181#392×C79C2211yescharacteristic
182#391×C79C2211yescharacteristic, complemented
183#391×C79C2211yescharacteristic, complemented
184#388×C79C2211yescharacteristic, complemented
185#388×C79C2211yescharacteristic, complemented
186#386×C79C2211yescharacteristic
187#386×C79C2211yescharacteristic, complemented
188#385×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×Dic158C2311yescharacteristic
193C22×Dic158C2311yescharacteristic
194C2×Q8×D79—24no—
195C2×Q8×D79—42no—
196C2×Q8×D79—42no—
197C22×D316C2311yescharacteristic
198C22×D316C2311yescharacteristic
199C22×D316C2311yescharacteristic
200C22×D316C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C22×C22⋊D79C2311yescharacteristic
205C22×C22⋊D79C2311yescharacteristic
206C22×C22⋊D79C2311yescharacteristic
207C22×C22⋊D79C2311yescharacteristic
208C22×C22⋊D79C2311yescharacteristic
209C2×D4×D79—24no—
210C2×D4×D79—42no—
211C2×D4×D79—42no—
212C23×Dic79C2311yescharacteristic
213C23×Dic79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218C22×C4×D79C2311yescharacteristic
219C22×C4×D79C2311yescharacteristic
220C22×C4×D79C2311yescharacteristic
221C22×C4×D79C2311yescharacteristic
222#14579155—24no—
223#14579154—24no—
224#14579150—24no—
225#14579150—24no—
226#14579149—24no—
227#14579148—24no—
228#14579147—24no—
229#14579147—24no—
230#14579147—24no—
231#14579147—24no—
232#14579146—42no—
233#14579145—24no—
234#14579143—24no—
235#14579143—42no—
236#14579141—42no—
237#14579138—42no—
238#14579138—42no—
239#14579137—24no—
240#14579137—42no—
241#14579135—42no—
242#14579134—24no—
243#14579134—24no—
244#14579134—42no—
245#14579133—24no—
246#14579133—42no—
247#14579132—42no—
248#14579131—24no—
249#14579131—42no—
250#14579129—24no—
251#14579129—42no—
252C4×D316—24no—
253(C22⋊D79)⋊C4—24no—
254C2×C4⋊Dic79C2311yescharacteristic
255C2×C4⋊Dic79C2311yescharacteristic
256C2×C4⋊Dic79C2311yescharacteristic
257C2×C4⋊Dic79C2311yescharacteristic
258C2×C4⋊Dic79C2311yescharacteristic
259C2×C4⋊Dic79C2311yescharacteristic
260C2×C4⋊Dic79C2311yescharacteristic
261C2×C4⋊Dic79C2311yescharacteristic
262C2×C4⋊Dic79C2311yescharacteristic
263C2×Dic79⋊C4C2311yescharacteristic
264C2×Dic79⋊C4C2311yescharacteristic
265C2×Dic79⋊C4C2311yescharacteristic
266C2×Dic79⋊C4C2311yescharacteristic
267C2×Dic79⋊C4C2311yescharacteristic
268C2×Dic79⋊C4C2311yescharacteristic
269C2×Dic79⋊C4C2311yescharacteristic
270C2×Dic79⋊C4C2311yescharacteristic
271C2×Dic79⋊C4C2311yescharacteristic
272C2×Dic79⋊C4C2311yescharacteristic
273C2×Dic79⋊C4C2311yescharacteristic
274C2×Dic79⋊C4C2311yescharacteristic
275C2×Dic79⋊C4C2311yescharacteristic
276C2×Dic79⋊C4C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×C22⋊Dic79C2311yescharacteristic
282C2×C22⋊Dic79C2311yescharacteristic
283C2×C22⋊Dic79C2311yescharacteristic
284C2×C22⋊Dic79C2311yescharacteristic
285C2×C22⋊Dic79C2311yescharacteristic
286C2×C22⋊Dic79C2311yescharacteristic
287C2×C22⋊Dic79C2311yescharacteristic
288C2×C22⋊Dic79C2311yescharacteristic
289C2×(C2×D79)⋊C4—42no—
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
312C2×(C2×D79)⋊C4C2311yescharacteristic
313C2×(C2×D79)⋊C4C2311yescharacteristic
314C2×(C2×D79)⋊C4C2311yescharacteristic
315C2×(C2×D79)⋊C4C2311yescharacteristic
316C2×(C2×D79)⋊C4C2311yescharacteristic
317C2×(C2×D79)⋊C4C2311yescharacteristic
318C2×(C2×D79)⋊C4C2311yescharacteristic
319C2×(C2×D79)⋊C4C2311yescharacteristic
320C2×(C2×D79)⋊C4C2311yescharacteristic
321C2×(C2×D79)⋊C4C2311yescharacteristic
322C22⋊C4×D79—24no—
323C22⋊C4×D79—24no—
324C22⋊C4×D79—24no—
325C22⋊C4×D79—42no—
326C22⋊C4×D79D418yescomplemented
327C2×C4×Dic79C2311yescharacteristic
328C2×C4×Dic79C2311yescharacteristic
329C2×C4×Dic79C2311yescharacteristic
330C2×C4×Dic79C2311yescharacteristic
331C42×D79—24no—
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
348C79⋊#95C2311yescharacteristic
349C79⋊#95C2311yescharacteristic
350C79⋊#95C2311yescharacteristic
351C79⋊#95C2311yescharacteristic
352C79⋊#95C2311yescharacteristic
353C79⋊#95C2311yescharacteristic
354C22×Q8×C79C2311yescharacteristic
355C22×Q8×C79C2311yescharacteristic
356C22×D4×C79C2311yescharacteristic
357C22×D4×C79C2311yescharacteristic
358C22×D4×C79C2311yescharacteristic
359C23×C4×C79C2311yescharacteristic
360#124×C79—24no—
361#124×C79—24no—
362C2×C4⋊C4×C79C2311yescharacteristic
363C2×C4⋊C4×C79C2311yescharacteristic
364C2×C4⋊C4×C79C2311yescharacteristic
365C2×C22⋊C4×C79C2311yescharacteristic
366C2×C22⋊C4×C79C2311yescharacteristic
367C2×C22⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79C2311yescharacteristic
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×C22⋊C4×C79C2311yescharacteristic
377C2×C22⋊C4×C79C2311yescharacteristic
378C2×C22⋊C4×C79C2311yescharacteristic
379C2×C42×C79C2311yescharacteristic
380C2×C42×C79C2311yescharacteristic
381#95×C79C2311yescharacteristic
382#95×C79C2311yescharacteristic
383#95×C79C2311yescharacteristic
384#95×C79C2311yescharacteristic
385#95×C79C2311yescharacteristic
386#95×C79C2311yescharacteristic
387#95×C79C2311yescharacteristic
388#95×C79C2311yescharacteristic
389#95×C79C2311yescharacteristic
390#95×C79C2311yescharacteristic
391C23×D79—22no—
392C23×D79—22no—
393C23×D79—22no—
394C23×D79—22no—
395C23×D79—22no—
396C23×D79—41no—
397C23×D79—41no—
398C23×D79—41no—
399C23×D79—41no—
400C23×D79—41no—
401C23×D79—41no—
402C23×D79—41no—
403C23×D79—41no—
404C23×D79C2×D414yes—
405C23×D79C2411yescharacteristic
406C23×D79C2411yescharacteristic
407C23×D79C2411yescharacteristic
408C23×D79C2411yescharacteristic
409C2×Dic158—22no—
410C2×Dic158—22no—
411C2×Dic158—22no—
412C2×Dic158—22no—
413C2×Dic158—22no—
414C2×Dic158—22no—
415C2×Dic158—41no—
416C2×Dic158—41no—
417C2×Dic158—41no—
418Q8×D79—416no—
419C2×D316—22no—
420C2×D316—22no—
421C2×D316—22no—
422C2×D316—22no—
423C2×D316—22no—
424C2×D316—22no—
425C2×D316—41no—
426C2×D316—41no—
427C2×D316—41no—
428C2×D316—41no—
429C2×D316—41no—
430C2×D316—41no—
431C2×C22⋊D79—22no—
432C2×C22⋊D79—22no—
433C2×C22⋊D79—22no—
434C2×C22⋊D79—22no—
435C2×C22⋊D79—22no—
436C2×C22⋊D79—22no—
437C2×C22⋊D79—22no—
438C2×C22⋊D79—22no—
439C2×C22⋊D79—22no—
440C2×C22⋊D79—22no—
441C2×C22⋊D79—41no—
442C2×C22⋊D79—41no—
443C2×C22⋊D79—41no—
444C2×C22⋊D79—41no—
445C2×C22⋊D79—41no—
446C2×C22⋊D79—41no—
447C2×C22⋊D79—41no—
448C2×C22⋊D79—41no—
449C2×C22⋊D79—41no—
450C2×C22⋊D79—41no—
451C2×C22⋊D79—41no—
452C2×C22⋊D79—41no—
453C2×C22⋊D79—41no—
454C2×C22⋊D79—41no—
455D4×D79—416no—
456C22×Dic79—22no—
457C22×Dic79—41no—
458C22×Dic79—41no—
459C22×Dic79—41no—
460C22×Dic79—41no—
461C22×Dic79—41no—
462C22×Dic79C2411yescharacteristic
463C22×Dic79C2411yescharacteristic
464C22×Dic79C2411yescharacteristic
465C22×Dic79C2411yescharacteristic
466C22×Dic79C2411yescharacteristic
467C22×Dic79C2411yescharacteristic
468C22×Dic79C2411yescharacteristic
469C22×Dic79C2411yescharacteristic
470C22×Dic79C2411yescharacteristic
471C22×Dic79C2411yescharacteristic
472C22×Dic79C2411yescharacteristic
473C22×Dic79C2411yescharacteristic
474C2×C4×D79—22no—
475C2×C4×D79—22no—
476C2×C4×D79—22no—
477C2×C4×D79—22no—
478C2×C4×D79—22no—
479C2×C4×D79—22no—
480C2×C4×D79—22no—
481C2×C4×D79—22no—
482C2×C4×D79—41no—
483C2×C4×D79—41no—
484C2×C4×D79—41no—
485C2×C4×D79—41no—
486C2×C4×D79—41no—
487C2×C4×D79—41no—
488C2×C4×D79—41no—
489C2×C4×D79—41no—
490C2×C4×D79—41no—
491C2×C4×D79—41no—
492C2×C4×D79—41no—
493C2×C4×D79—41no—
494C2×C4×D79—41no—
495C2×C4×D79—41no—
496C2×C4×D79C2×D414yes—
497C2×C4×D79C2×D414yes—
498C4⋊Dic79—22no—
499C4⋊Dic79—22no—
500C4⋊Dic79—22no—
501C4⋊Dic79—22no—
502C4⋊Dic79—41no—
503C4⋊Dic79—41no—
504C4⋊Dic79—41no—
505C4⋊Dic79—41no—
506C4⋊Dic79—41no—
507Dic79⋊C4—22no—
508Dic79⋊C4—22no—
509Dic79⋊C4—22no—
510Dic79⋊C4—22no—
511Dic79⋊C4—22no—
512Dic79⋊C4—22no—
513Dic79⋊C4—41no—
514Dic79⋊C4—41no—
515Dic79⋊C4—41no—
516Dic79⋊C4—41no—
517Dic79⋊C4—41no—
518Dic79⋊C4—41no—
519Dic79⋊C4—41no—
520Dic79⋊C4—41no—
521C22⋊Dic79—22no—
522C22⋊Dic79—22no—
523C22⋊Dic79—22no—
524C22⋊Dic79—22no—
525C22⋊Dic79—22no—
526C22⋊Dic79—41no—
527C22⋊Dic79—41no—
528C22⋊Dic79—41no—
529C22⋊Dic79—41no—
530C22⋊Dic79—41no—
531C22⋊Dic79—41no—
532C22⋊Dic79C2×D414yes—
533(C2×D79)⋊C4—22no—
534(C2×D79)⋊C4—22no—
535(C2×D79)⋊C4—22no—
536(C2×D79)⋊C4—22no—
537(C2×D79)⋊C4—22no—
538(C2×D79)⋊C4—22no—
539(C2×D79)⋊C4—22no—
540(C2×D79)⋊C4—22no—
541(C2×D79)⋊C4—22no—
542(C2×D79)⋊C4—22no—
543(C2×D79)⋊C4—22no—
544(C2×D79)⋊C4—22no—
545(C2×D79)⋊C4—22no—
546(C2×D79)⋊C4—22no—
547(C2×D79)⋊C4—22no—
548(C2×D79)⋊C4—22no—
549(C2×D79)⋊C4—22no—
550(C2×D79)⋊C4—22no—
551(C2×D79)⋊C4—41no—
552(C2×D79)⋊C4—41no—
553(C2×D79)⋊C4—41no—
554(C2×D79)⋊C4—41no—
555(C2×D79)⋊C4—41no—
556(C2×D79)⋊C4—41no—
557(C2×D79)⋊C4—41no—
558(C2×D79)⋊C4—41no—
559(C2×D79)⋊C4—41no—
560(C2×D79)⋊C4—41no—
561(C2×D79)⋊C4—41no—
562(C2×D79)⋊C4—41no—
563(C2×D79)⋊C4C2×D414yes—
564(C2×D79)⋊C4C2×D414yes—
565C4×Dic79—22no—
566C4×Dic79—22no—
567C4×Dic79—22no—
568C4×Dic79—22no—
569C24×C79C2411yescharacteristic
570C24×C79C2411yescharacteristic
571C24×C79C2411yescharacteristic
572C2×Q8×C79—22no—
573C2×Q8×C79—22no—
574C2×Q8×C79—22no—
575C2×Q8×C79—41no—
576C2×Q8×C79—41no—
577C2×Q8×C79—41no—
578C2×D4×C79—22no—
579C2×D4×C79—22no—
580C2×D4×C79—22no—
581C2×D4×C79—41no—
582C2×D4×C79—41no—
583C2×D4×C79—41no—
584C2×D4×C79—41no—
585C2×D4×C79—41no—
586C2×D4×C79—41no—
587C22×C4×C79—41no—
588C22×C4×C79—41no—
589C22×C4×C79—41no—
590C22×C4×C79C2411yescharacteristic
591C22×C4×C79C2411yescharacteristic
592C22×C4×C79C2411yescharacteristic
593C22×C4×C79C2411yescharacteristic
594C22×C4×C79C2411yescharacteristic
595C22×C4×C79C2411yescharacteristic
596C22×C4×C79C2411yescharacteristic
597C22×C4×C79C2411yescharacteristic
598C22×C4×C79C2411yescharacteristic
599C22×C4×C79C2411yescharacteristic
600C22×C4×C79C2411yescharacteristic
601C22×C4×C79C2411yescharacteristic
602C4⋊C4×C79—41no—
603C4⋊C4×C79—41no—
604C4⋊C4×C79—41no—
605C22⋊C4×C79—22no—
606C22⋊C4×C79—22no—
607C22⋊C4×C79—22no—
608C22⋊C4×C79—22no—
609C22⋊C4×C79—22no—
610C22⋊C4×C79—22no—
611C22⋊C4×C79—22no—
612C22⋊C4×C79—41no—
613C22⋊C4×C79—41no—
614C22⋊C4×C79—41no—
615C22⋊C4×C79—41no—
616C22⋊C4×C79—41no—
617C22⋊C4×C79—41no—
618C22⋊C4×C79C2×D414yes—
619C42×C79—22no—
620C42×C79—22no—
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×C79—21no—
636C23×C79—21no—
637C23×C79—21no—
638C23×C79—21no—
639C23×C79—21no—
640C23×C79—21no—
641C23×C79C22×D412yes—
642C23×C79C2511yescharacteristic
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—28no—
654C22×D79—21no—
655C22×D79—21no—
656C22×D79—21no—
657C22×D79—21no—
658C22×D79—21no—
659C22×D79—21no—
660C22×D79—21no—
661C22×D79—21no—
662C22×D79—21no—
663C22×D79—21no—
664C22×D79—21no—
665C22×D79—21no—
666C22×D79—21no—
667C22×D79—21no—
668C22×D79—44no—
669C22×D79—44no—
670C22×D79—44no—
671C22×D79—44no—
672C22×D79—44no—
673C22×D79—82no—
674C22×D79—82no—
675C22×D79—82no—
676C22×D79—82no—
677C22×D79—82no—
678C22×D79—82no—
679C22×D79—82no—
680C22×D79—82no—
681C22×D79C22×D412yes—
682C22×D79C22×D412yes—
683C22×D79H(5,𝔽2)12yes—
684C22×D792−1+412yes—
685Q8×C79—44no—
686Q8×C79—82no—
687D4×C79—44no—
688D4×C79—82no—
689D4×C79—82no—
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—21no—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—21no—
704C2×C4×C79—21no—
705C2×C4×C79—21no—
706C2×C4×C79—21no—
707C2×C4×C79—21no—
708C2×C4×C79—21no—
709C2×C4×C79—21no—
710C2×C4×C79—21no—
711C2×C4×C79—21no—
712C2×C4×C79—21no—
713C2×C4×C79—21no—
714C2×C4×C79—21no—
715C2×C4×C79—21no—
716C2×C4×C79—21no—
717C2×C4×C79—21no—
718C2×C4×C79—21no—
719C2×C4×C79—21no—
720C2×C4×C79—21no—
721C2×C4×C79—21no—
722C2×C4×C79—21no—
723C2×C4×C79—82no—
724C2×C4×C79C22×D412yes—
725C2×C4×C79C22×D412yes—
726C2×C4×C79H(5,𝔽2)12yes—
727C22⋊D79—44no—
728C22⋊D79—44no—
729C22⋊D79—44no—
730C22⋊D79—82no—
731C22⋊D79—82no—
732C22⋊D79—82no—
733C22⋊D79—82no—
734C22⋊D79—82no—
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—21no—
751C2×Dic79—21no—
752C2×Dic79—21no—
753C2×Dic79—21no—
754C2×Dic79—21no—
755C2×Dic79—21no—
756C2×Dic79—21no—
757C2×Dic79—21no—
758C2×Dic79—21no—
759C2×Dic79—21no—
760C2×Dic79—21no—
761C2×Dic79—21no—
762C2×Dic79—21no—
763C2×Dic79—21no—
764C2×Dic79—21no—
765C2×Dic79—21no—
766C2×Dic79—21no—
767C2×Dic79—21no—
768C2×Dic79—82no—
769C2×Dic79—82no—
770C2×Dic79C22×D412yes—
771C2×Dic79C22×D412yes—
772C2×Dic79H(5,𝔽2)12yes—
773D316—44no—
774D316—44no—
775D316—82no—
776D316—82no—
777C4×D79—28no—
778C4×D79—44no—
779C4×D79—44no—
780C4×D79—44no—
781C4×D79—44no—
782C4×D79—82no—
783C4×D79—82no—
784C4×D79—82no—
785Dic158—44no—
786Dic158—44no—
787Dic158—44no—
788C22×C79—22no—
789C22×C79—22no—
790C22×C79—22no—
791C22×C79—41no—
792C22×C79—41no—
793C22×C79—41no—
794C22×C79—41no—
795C22×C79—41no—
796C22×C79—41no—
797C22×C79—41no—
798C22×C79—41no—
799C22×C79—41no—
800C22×C79—41no—
801C22×C79—41no—
802C22×C79—41no—
803C22×C79—41no—
804C22×C79—41no—
805C22×C79—41no—
806C22×C79—41no—
807C22×C79—41no—
808C22×C79—41no—
809C22×C79C23×D411yescharacteristic
810C22×C79C2×H(5,𝔽2)11yescharacteristic
811C22×C79C2×H(5,𝔽2)11yescharacteristic
812C22×C79C2×H(5,𝔽2)11yescharacteristic
813C22×C79C2×2−1+411yescharacteristic
814C22×C79#58511yescharacteristic
815C22×C79#58511yescharacteristic
816C2×D79—22no—
817C2×D79—22no—
818C2×D79—22no—
819C2×D79—22no—
820C2×D79—22no—
821C2×D79—22no—
822C2×D79—22no—
823C2×D79—22no—
824C2×D79—22no—
825C2×D79—41no—
826C2×D79—41no—
827C2×D79—41no—
828C2×D79—41no—
829C2×D79—41no—
830C2×D79—41no—
831C2×D79—41no—
832C2×D79—41no—
833C2×D79—41no—
834C2×D79—41no—
835C2×D79—41no—
836C2×D79—41no—
837C2×D79—41no—
838C2×D79—41no—
839C2×D79—41no—
840C2×D79—41no—
841C2×D79—41no—
842C2×D79—41no—
843C2×D79—88no—
844C2×D79—88no—
845C2×D79#53714yes—
846C4×C79—22no—
847C4×C79—22no—
848C4×C79—22no—
849C4×C79—41no—
850C4×C79—41no—
851C4×C79—41no—
852C4×C79—41no—
853C4×C79—41no—
854C4×C79—41no—
855C4×C79—41no—
856C4×C79—41no—
857C4×C79—41no—
858Dic79—22no—
859Dic79—22no—
860Dic79—22no—
861Dic79—41no—
862Dic79—41no—
863Dic79—41no—
864Dic79—41no—
865Dic79—41no—
866Dic79—41no—
867Dic79—41no—
868Dic79—41no—
869Dic79—41no—
870#36957—791nomaximal, Sylow
871C2×C79—42no—
872C2×C79—81no—
873C2×C79—81no—
874C2×C79C2×#53711yescharacteristic
875C2×C79#348411yescharacteristic
876C2×C79#348511yescharacteristic
877C2×C79#355811yescharacteristic
878C2×C79#355811yescharacteristic
879C2×C79#356111yescharacteristic
880C2×C79#356111yescharacteristic
881D79—24no—
882D79—42no—
883D79—81no—
884D79—81no—
885C2×#538—791no—
886C22×#124—791no—
887#2855—791no—
888#2854—791no—
889#2715—791no—
890#2715—791no—
891#2715—791no—
892#2715—791no—
893#2712—791no—
894#2712—791no—
895#2712—791no—
896#2712D7911yescharacteristic, complemented
897#2676—791no—
898#2676—791no—
899#2676—791no—
900#2676—791no—
901#2672—791no—
902#2672—791no—
903#2672—791no—
904#2672—791no—
905#2626—791no—
906#2617—791no—
907#2534—791no—
908#2534—791no—
909#2412—791no—
910#2412—791no—
911#2410—791no—
912#2410—791no—
913#2409—791no—
914#2409—791no—
915#2315—791no—
916C79#3695711yescharacteristic, complemented, Sylow
917C23×Q8—791no—
918C23×D4—791no—
919#538—1588no—
920C2×#126—791no—
921C2×#126—791no—
922C2×#124—791no—
923C2×#124—791no—
924C2×#124—791no—
925C2×#124—791no—
926C2×#124—791no—
927C2×#124—791no—
928C2×#124—791no—
929C2×#124—791no—
930C2×#124—1588no—
931C2×#124C2×D7911yescharacteristic
932C2×#124C2×D7911yescharacteristic, complemented
933C2×#123—791no—
934C2×#123—791no—
935C2×#123—791no—
936C2×#123—791no—
937C2×C22⋊Q8—791no—
938C2×C22⋊Q8—791no—
939C2×C22⋊Q8—791no—
940C2×C22⋊Q8—791no—
941C2×C22⋊Q8—791no—
942C2×#121—791no—
943C2×#121—791no—
944C2×#121—791no—
945C2×#121—791no—
946C2×#121—791no—
947C2×#121—791no—
948C2×#121—791no—
949C2×#120—791no—
950C2×#120—791no—
951C2×#120—791no—
952C2×#120—791no—
953C2×C4×D4—791no—
954C2×C4×D4—791no—
955C22×C22⋊C4—791no—
956C22×C22⋊C4—791no—
957C22×C22⋊C4—791no—
958C22×C22⋊C4—791no—
959C22×C22⋊C4—791no—
960C22×C22⋊C4—791no—
961C22×C42—791no—
962#399—791no—
963#399—791no—
964#397—791no—
965#397—791no—
966#397—791no—
967#397—791no—
968#397—791no—
969#397C2×D7911yescharacteristic, complemented
970#396—791no—
971#396—791no—
972#396—791no—
973#396—791no—
974#396—791no—
975#396—791no—
976#396—791no—
977#396—791no—
978#395—791no—
979#395—791no—
980#395—791no—
981#395—791no—
982#394—791no—
983#394—791no—
984#394—791no—
985#394—791no—
986#394—791no—
987#394—791no—
988#394—791no—
989#394—791no—
990#394—791no—
991#394—791no—
992#394—791no—
993#394—791no—
994#394—791no—
995#394—791no—
996#394C2×D7911yescharacteristic, complemented
997#394C2×D7911yescharacteristic, complemented
998#393—791no—
999#393—791no—
1000#393—791no—
1001#393—791no—
1002#393C2×D7911yescharacteristic, complemented
1003#393C2×D7911yescharacteristic, complemented
1004#392—791no—
1005#392—791no—
1006#392—791no—
1007#392—791no—
1008#392—791no—
1009#392C2×D7911yescharacteristic
1010#391—791no—
1011#391—791no—
1012#391—791no—
1013#391—791no—
1014#391C2×D7911yescharacteristic, complemented
1015#391C2×D7911yescharacteristic, complemented
1016#390—791no—
1017#390—791no—
1018#389—791no—
1019#389—791no—
1020#389—791no—
1021#389—791no—
1022#388—791no—
1023#388—791no—
1024#388—791no—
1025#388—791no—
1026#388—791no—
1027#388—791no—
1028#388C2×D7911yescharacteristic, complemented
1029#388C2×D7911yescharacteristic, complemented
1030#387—791no—
1031#387—791no—
1032#387—791no—
1033#387—791no—
1034#386—791no—
1035#386—791no—
1036#386—791no—
1037#386—791no—
1038#386—791no—
1039#386—791no—
1040#386—791no—
1041#386—791no—
1042#386—791no—
1043#386—791no—
1044#386—791no—
1045#386—791no—
1046#386—791no—
1047#386—791no—
1048#386C2×D7911yescharacteristic
1049#386C2×D7911yescharacteristic, complemented
1050#385—791no—
1051#385—791no—
1052#385—791no—
1053#385—791no—
1054#385—791no—
1055#385—791no—
1056#385—791no—
1057#385—791no—
1058#385—791no—
1059#385—791no—
1060#385—791no—
1061#385C2×D7911yescharacteristic, complemented
1062#381—791no—
1063#381—791no—
1064#380—791no—
1065#380—791no—
1066#380—791no—
1067#380—791no—
1068#380—791no—
1069#380—791no—
1070#380—791no—
1071#380—791no—
1072#379—791no—
1073#379—791no—
1074C25—791no—
1075C25—791no—
1076C22×Q8—3162no—
1077C22×Q8—3162no—
1078C22×Q8—791no—
1079C22×Q8—791no—
1080C22×Q8—791no—
1081C22×Q8—1584no—
1082C22×Q8C22×D7911yescharacteristic
1083C22×Q8C22×D7911yescharacteristic
1084C22×D4—3162no—
1085C22×D4—3162no—
1086C22×D4—791no—
1087C22×D4—791no—
1088C22×D4—791no—
1089C22×D4—791no—
1090C22×D4—791no—
1091C22×D4—791no—
1092C22×D4—791no—
1093C22×D4—791no—
1094C22×D4—791no—
1095C22×D4—791no—
1096C22×D4—791no—
1097C22×D4—791no—
1098C22×D4—1584no—
1099C22×D4C22×D7911yescharacteristic
1100C22×D4C22×D7911yescharacteristic
1101C22×D4C22×D7911yescharacteristic
1102C23×C4—791no—
1103C23×C4—791no—
1104C23×C4—791no—
1105C23×C4—791no—
1106C23×C4—791no—
1107C23×C4—791no—
1108C23×C4—791no—
1109C23×C4—791no—
1110C23×C4—791no—
1111C23×C4—791no—
1112C23×C4C22×D7911yescharacteristic
1113#126—1584no—
1114#126—1584no—
1115#124—24no—
1116#124—24no—
1117#124—1584no—
1118#124—1584no—
1119#124—1584no—
1120#124—1584no—
1121#124—1584no—
1122#124—1584no—
1123#124—1584no—
1124#124—1584no—
1125#123—3162no—
1126#123—3162no—
1127#123—1584no—
1128#123—1584no—
1129C22⋊Q8—3162no—
1130C22⋊Q8—3162no—
1131C22⋊Q8—3162no—
1132C22⋊Q8—3162no—
1133C22⋊Q8—1584no—
1134#121—3162no—
1135#121—3162no—
1136#121—3162no—
1137#121—3162no—
1138#121—1584no—
1139#121—1584no—
1140#121—1584no—
1141#120—3162no—
1142#120—3162no—
1143#120—1584no—
1144#120—1584no—
1145C4×D4—1584no—
1146C4×D4—1584no—
1147C2×C4⋊C4—791no—
1148C2×C4⋊C4—791no—
1149C2×C4⋊C4—791no—
1150C2×C4⋊C4—791no—
1151C2×C4⋊C4—791no—
1152C2×C4⋊C4—791no—
1153C2×C4⋊C4—791no—
1154C2×C4⋊C4—791no—
1155C2×C4⋊C4—791no—
1156C2×C4⋊C4—791no—
1157C2×C4⋊C4—791no—
1158C2×C4⋊C4—791no—
1159C2×C4⋊C4—791no—
1160C2×C4⋊C4—791no—
1161C2×C4⋊C4—791no—
1162C2×C4⋊C4—791no—
1163C2×C4⋊C4—791no—
1164C2×C4⋊C4—791no—
1165C2×C4⋊C4—791no—
1166C2×C4⋊C4—791no—
1167C2×C4⋊C4—791no—
1168C2×C4⋊C4—791no—
1169C2×C4⋊C4—791no—
1170C2×C4⋊C4C22×D7911yescharacteristic
1171C2×C4⋊C4C22×D7911yescharacteristic
1172C2×C4⋊C4C22×D7911yescharacteristic
1173C2×C22⋊C4—3162no—
1174C2×C22⋊C4—3162no—
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—791no—
1189C2×C22⋊C4—791no—
1190C2×C22⋊C4—791no—
1191C2×C22⋊C4—791no—
1192C2×C22⋊C4—791no—
1193C2×C22⋊C4—791no—
1194C2×C22⋊C4—791no—
1195C2×C22⋊C4—791no—
1196C2×C22⋊C4—798no—
1197C2×C22⋊C4—791no—
1198C2×C22⋊C4—791no—
1199C2×C22⋊C4—791no—
1200C2×C22⋊C4—791no—
1201C2×C22⋊C4—791no—
1202C2×C22⋊C4—791no—
1203C2×C22⋊C4—791no—
1204C2×C22⋊C4—791no—
1205C2×C22⋊C4—791no—
1206C2×C22⋊C4—791no—
1207C2×C22⋊C4—791no—
1208C2×C22⋊C4—791no—
1209C2×C22⋊C4—791no—
1210C2×C22⋊C4—791no—
1211C2×C22⋊C4—791no—
1212C2×C22⋊C4—791no—
1213C2×C22⋊C4—791no—
1214C2×C22⋊C4—791no—
1215C2×C22⋊C4—791no—
1216C2×C22⋊C4—791no—
1217C2×C22⋊C4—791no—
1218C2×C22⋊C4—791no—
1219C2×C22⋊C4—791no—
1220C2×C22⋊C4—1584no—
1221C2×C22⋊C4—1584no—
1222C2×C22⋊C4—1584no—
1223C2×C22⋊C4C22×D7911yescharacteristic
1224C2×C22⋊C4C22×D7911yescharacteristic
1225C2×C22⋊C4C22×D7911yescharacteristic
1226C2×C22⋊C4C22×D7911yescharacteristic
1227C2×C22⋊C4C22×D7911yescharacteristic
1228C2×C22⋊C4C22×D7911yescharacteristic
1229C2×C22⋊C4C22×D7911yescharacteristic
1230C2×C22⋊C4C22×D7911yescharacteristic
1231C2×C22⋊C4C22×D7911yescharacteristic
1232C2×C22⋊C4C22×D7911yescharacteristic
1233C2×C22⋊C4C22×D7911yescharacteristic
1234C2×C22⋊C4C22×D7911yescharacteristic
1235C2×C22⋊C4C22×D7911yescharacteristic
1236C2×C22⋊C4C22×D7911yescharacteristic
1237C2×C42—791no—
1238C2×C42—791no—
1239C2×C42—791no—
1240C2×C42—791no—
1241C2×C42—1584no—
1242C2×C42C22×D7911yescharacteristic
1243C2×C42C22×D7911yescharacteristic
1244#95—791no—
1245#95—791no—
1246#95—791no—
1247#95—791no—
1248#95—791no—
1249#95—791no—
1250#95—791no—
1251#95—791no—
1252#95—791no—
1253#95—791no—
1254#95—791no—
1255#95—791no—
1256#95—791no—
1257#95—791no—
1258#95—791no—
1259#95—791no—
1260#95—791no—
1261#95—791no—
1262#95—791no—
1263#95—791no—
1264#95—791no—
1265#95—791no—
1266#95C22×D7911yescharacteristic
1267#95C22×D7911yescharacteristic
1268#95C22×D7911yescharacteristic
1269#95C22×D7911yescharacteristic
1270#95C22×D7911yescharacteristic
1271#95C22×D7911yescharacteristic
1272#95C22×D7911yescharacteristic
1273#95C22×D7911yescharacteristic
1274#95C22×D7911yescharacteristic
1275#95C22×D7911yescharacteristic
1276C24—3161no—
1277C24—3161no—
1278C24—3161no—
1279C24—3161no—
1280C24—3161no—
1281C24—3161no—
1282C24—3161no—
1283C24—3161no—
1284C24—794no—
1285C24—791no—
1286C24—791no—
1287C24—791no—
1288C24—791no—
1289C24—1582no—
1290C24—1582no—
1291C24—1582no—
1292C24—1582no—
1293C24—1582no—
1294C24C23×D7911yescharacteristic
1295C24C23×D7911yescharacteristic
1296C24C23×D7911yescharacteristic
1297C2×Q8—22no—
1298C2×Q8—22no—
1299C2×Q8—22no—
1300C2×Q8—41no—
1301C2×Q8—41no—
1302C2×Q8—41no—
1303C2×Q8—3161no—
1304C2×Q8—3161no—
1305C2×Q8—3161no—
1306C2×Q8—31616no—
1307C2×Q8—1582no—
1308C2×Q8—1582no—
1309C2×Q8—1582no—
1310C2×Q8—1582no—
1311C2×Q8—1582no—
1312C2×Q8—1582no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—3161no—
1323C2×D4—3161no—
1324C2×D4—3161no—
1325C2×D4—3161no—
1326C2×D4—3161no—
1327C2×D4—3161no—
1328C2×D4—31616no—
1329C2×D4—3161no—
1330C2×D4—3161no—
1331C2×D4—3161no—
1332C2×D4—3161no—
1333C2×D4—3161no—
1334C2×D4—3161no—
1335C2×D4—3161no—
1336C2×D4—3161no—
1337C2×D4—3161no—
1338C2×D4—3161no—
1339C2×D4—3161no—
1340C2×D4—3161no—
1341C2×D4—3161no—
1342C2×D4—3161no—
1343C2×D4—1582no—
1344C2×D4—1582no—
1345C2×D4—1582no—
1346C2×D4—1582no—
1347C2×D4—1582no—
1348C2×D4—1582no—
1349C2×D4—1582no—
1350C2×D4—1582no—
1351C2×D4—1582no—
1352C2×D4—1582no—
1353C2×D4—1582no—
1354C2×D4—1582no—
1355C2×D4—1582no—
1356C2×D4—1582no—
1357C2×D4—1582no—
1358C2×D4—1582no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—3161no—
1363C22×C4—3161no—
1364C22×C4—3161no—
1365C22×C4—3161no—
1366C22×C4—3161no—
1367C22×C4—3161no—
1368C22×C4—3161no—
1369C22×C4—3161no—
1370C22×C4—3161no—
1371C22×C4—3161no—
1372C22×C4—3161no—
1373C22×C4—3161no—
1374C22×C4—3161no—
1375C22×C4—3161no—
1376C22×C4—3161no—
1377C22×C4—3161no—
1378C22×C4—3161no—
1379C22×C4—3161no—
1380C22×C4—3161no—
1381C22×C4—794no—
1382C22×C4—794no—
1383C22×C4—791no—
1384C22×C4—791no—
1385C22×C4—791no—
1386C22×C4—791no—
1387C22×C4—791no—
1388C22×C4—791no—
1389C22×C4—791no—
1390C22×C4—791no—
1391C22×C4—791no—
1392C22×C4—791no—
1393C22×C4—791no—
1394C22×C4—791no—
1395C22×C4—1582no—
1396C22×C4—1582no—
1397C22×C4—1582no—
1398C22×C4—1582no—
1399C22×C4—1582no—
1400C22×C4—1582no—
1401C22×C4—1582no—
1402C22×C4—1582no—
1403C22×C4—1582no—
1404C22×C4C23×D7911yescharacteristic
1405C22×C4C23×D7911yescharacteristic
1406C22×C4C23×D7911yescharacteristic
1407C22×C4C23×D7911yescharacteristic
1408C22×C4C23×D7911yescharacteristic
1409C22×C4C23×D7911yescharacteristic
1410C22×C4C23×D7911yescharacteristic
1411C22×C4C23×D7911yescharacteristic
1412C22×C4C23×D7911yescharacteristic
1413C22×C4C23×D7911yescharacteristic
1414C22×C4C23×D7911yescharacteristic
1415C22×C4C23×D7911yescharacteristic
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—3161no—
1420C4⋊C4—3161no—
1421C4⋊C4—3161no—
1422C4⋊C4—3161no—
1423C4⋊C4—3161no—
1424C4⋊C4—3161no—
1425C4⋊C4—3161no—
1426C4⋊C4—3161no—
1427C4⋊C4—3161no—
1428C4⋊C4—3161no—
1429C4⋊C4—3161no—
1430C4⋊C4—3161no—
1431C4⋊C4—3161no—
1432C4⋊C4—1582no—
1433C4⋊C4—1582no—
1434C4⋊C4—1582no—
1435C4⋊C4—1582no—
1436C4⋊C4—1582no—
1437C4⋊C4—1582no—
1438C4⋊C4—1582no—
1439C4⋊C4—1582no—
1440C4⋊C4—1582no—
1441C4⋊C4—1582no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—3161no—
1456C22⋊C4—3161no—
1457C22⋊C4—3161no—
1458C22⋊C4—3161no—
1459C22⋊C4—3161no—
1460C22⋊C4—3161no—
1461C22⋊C4—3161no—
1462C22⋊C4—3161no—
1463C22⋊C4—3161no—
1464C22⋊C4—3161no—
1465C22⋊C4—3161no—
1466C22⋊C4—3161no—
1467C22⋊C4—3161no—
1468C22⋊C4—3161no—
1469C22⋊C4—3161no—
1470C22⋊C4—3161no—
1471C22⋊C4—3161no—
1472C22⋊C4—3161no—
1473C22⋊C4—794no—
1474C22⋊C4—794no—
1475C22⋊C4—794no—
1476C22⋊C4—1582no—
1477C22⋊C4—1582no—
1478C22⋊C4—1582no—
1479C22⋊C4—1582no—
1480C22⋊C4—1582no—
1481C22⋊C4—1582no—
1482C22⋊C4—1582no—
1483C22⋊C4—1582no—
1484C22⋊C4—1582no—
1485C22⋊C4—1582no—
1486C22⋊C4—1582no—
1487C22⋊C4—1582no—
1488C22⋊C4—1582no—
1489C22⋊C4—1582no—
1490C22⋊C4—1582no—
1491C22⋊C4—1582no—
1492C22⋊C4—1582no—
1493C22⋊C4—1582no—
1494C22⋊C4—1582no—
1495C22⋊C4—1582no—
1496C22⋊C4—1582no—
1497C22⋊C4—1582no—
1498C22⋊C4—1582no—
1499C22⋊C4D4×D7914yes—
1500C42—22no—
1501C42—22no—
1502C42—1582no—
1503C42—1582no—
1504C42—1582no—
1505C42—1582no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—3164no—
1527C23—3164no—
1528C23—3164no—
1529C23—3164no—
1530C23—3164no—
1531C23—792no—
1532C23—792no—
1533C23—792no—
1534C23—792no—
1535C23—6322no—
1536C23—6322no—
1537C23—6322no—
1538C23—6322no—
1539C23—6322no—
1540C23—6322no—
1541C23—6322no—
1542C23—6322no—
1543C23—1588no—
1544C23—1581no—
1545C23—1581no—
1546C23—1581no—
1547C23—1581no—
1548C23—1581no—
1549C23—1581no—
1550C23—1581no—
1551C23—1581no—
1552C23—1581no—
1553C23—1581no—
1554C23—1581no—
1555C23—1581no—
1556C23—1581no—
1557C23—1581no—
1558C23—1581no—
1559C23—1581no—
1560C23—1581no—
1561C23—1581no—
1562C23—1581no—
1563C23—1581no—
1564C23—1581no—
1565C23—1581no—
1566C23—1581no—
1567C23—1581no—
1568C23C2×D4×D7912yes—
1569C23C24×D7911yescharacteristic
1570Q8—44no—
1571Q8—82no—
1572Q8—3164no—
1573Q8—3164no—
1574Q8—3164no—
1575D4—44no—
1576D4—82no—
1577D4—82no—
1578D4—3164no—
1579D4—3164no—
1580D4—3164no—
1581D4—3164no—
1582D4—3164no—
1583D4—6322no—
1584D4—6322no—
1585D4—6322no—
1586D4—6322no—
1587D4—6322no—
1588D4—6322no—
1589D4—6322no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—82no—
1624C2×C4—3164no—
1625C2×C4—3164no—
1626C2×C4—3164no—
1627C2×C4—3164no—
1628C2×C4—792no—
1629C2×C4—792no—
1630C2×C4—792no—
1631C2×C4—6322no—
1632C2×C4—6322no—
1633C2×C4—6322no—
1634C2×C4—6322no—
1635C2×C4—6322no—
1636C2×C4—1588no—
1637C2×C4—1581no—
1638C2×C4—1581no—
1639C2×C4—1581no—
1640C2×C4—1581no—
1641C2×C4—1581no—
1642C2×C4—1581no—
1643C2×C4—1581no—
1644C2×C4—1581no—
1645C2×C4—1581no—
1646C2×C4—1581no—
1647C2×C4—1581no—
1648C2×C4—1581no—
1649C2×C4—1581no—
1650C2×C4—1581no—
1651C2×C4—1581no—
1652C2×C4—1581no—
1653C2×C4—1581no—
1654C2×C4—1581no—
1655C2×C4—1581no—
1656C2×C4—1581no—
1657C2×C4—1581no—
1658C2×C4—1581no—
1659C2×C4—1581no—
1660C2×C4—1581no—
1661C2×C4—1581no—
1662C2×C4—1581no—
1663C2×C4—1581no—
1664C2×C4—1581no—
1665C2×C4—1581no—
1666C2×C4—1581no—
1667C2×C4—1581no—
1668C2×C4—1581no—
1669C2×C4—1581no—
1670C2×C4C2×D4×D7912yes—
1671C2×C4C2×D4×D7912yes—
1672C2×C4#1457920712yes—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—3161no—
1695C22—3161no—
1696C22—3161no—
1697C22—3161no—
1698C22—3161no—
1699C22—3161no—
1700C22—3161no—
1701C22—3161no—
1702C22—3161no—
1703C22—3161no—
1704C22—3161no—
1705C22—3161no—
1706C22—3161no—
1707C22—3161no—
1708C22—3161no—
1709C22—3161no—
1710C22—3161no—
1711C22—3161no—
1712C22—794no—
1713C22—6328no—
1714C22—6328no—
1715C22—1582no—
1716C22—1582no—
1717C22—1582no—
1718C22—1582no—
1719C22—1582no—
1720C22—1582no—
1721C22—1582no—
1722C22—1582no—
1723C22—1582no—
1724C22C22×D4×D7911yescharacteristic
1725C22H(5,𝔽2)×D7911yescharacteristic
1726C22H(5,𝔽2)×D7911yescharacteristic
1727C22C2×#1457920711yescharacteristic
1728C222−1+4×D7911yescharacteristic
1729C22#1909939811yescharacteristic
1730C22#1909939911yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—3161no—
1744C4—3161no—
1745C4—3161no—
1746C4—3161no—
1747C4—3161no—
1748C4—3161no—
1749C4—3161no—
1750C4—3161no—
1751C4—3161no—
1752C4—1582no—
1753C4—1582no—
1754C4—1582no—
1755C2—42no—
1756C2—81no—
1757C2—81no—
1758C2—3162no—
1759C2—6321no—
1760C2—6321no—
1761C2—1584no—
1762C2#537×D7911yescharacteristic
1763C2#2377703011yescharacteristic
1764C2#2377703711yescharacteristic
1765C2#2377791311yescharacteristic
1766C2#2377792011yescharacteristic
1767C2#2377796411yescharacteristic
1768C2#2377797111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2712C2
hypercenter#2712D79
hypocenterC79#36957
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2712

Complements

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

NH ≅ G/Ntype
1. C2×#19099147C2semidirect
2. C2×#124×D79C2semidirect
3. #23771741C2semidirect
4. #23771727C2semidirect
5. #23770215C2semidirect
6. #23770211C2semidirect
7. #23770210C2semidirect
8. #23770206C2semidirect
9. #23770171C2semidirect
10. #23770170C2semidirect
11. #23770166C2semidirect
12. #23769708C2semidirect
13. #23769702C2semidirect
14. #23769700C2semidirect
15. #23769694C2semidirect
16. #23769657C2semidirect
17. #23769654C2semidirect
18. #23769649C2semidirect
19. #23769646C2semidirect
20. #23769204C2semidirect
21. #23769139C2semidirect
22. #23768294C2semidirect
23. #23768285C2semidirect
24. #23766795C2semidirect
25. #23766789C2semidirect
26. #23766773C2semidirect
27. #23766767C2semidirect
28. #23766763C2semidirect
29. #23766758C2semidirect
30. #23766011C2semidirect
31. C79×#2712C2semidirect
35. C2×#14579155C22semidirect
36. C2×#14579154C22semidirect
38. C2×#14579150C22semidirect
47. C2×#14579145C22semidirect
49. C2×#14579143C22semidirect
50. C2×#14579141C22semidirect
51. C2×#14579138C22semidirect
52. C2×#14579138C22semidirect
54. C2×#14579137C22semidirect
58. C2×#14579134C22semidirect
60. C2×#14579133C22semidirect
75. #19098500C22semidirect
76. #19098499C22semidirect
77. #19098492C22semidirect
78. #19098492C22semidirect
79. #19098491C22semidirect
80. #19098491C22semidirect
81. #19098490C22semidirect
82. #19098487C22semidirect
83. #19098487C22semidirect
84. #19098486C22semidirect
85. #19098486C22semidirect
86. #19098486C22semidirect
87. #19098486C22semidirect
88. #19098485C22semidirect
89. #19098485C22semidirect
90. #19098484C22semidirect
91. #19098484C22semidirect
92. #19098484C22semidirect
93. #19098482C22semidirect
95. #19098481C22semidirect
96. #19098480C22semidirect
99. #19098479C22semidirect
100. #19098479C22semidirect
101. #19098479C22semidirect
102. #19098479C22semidirect
103. #19098479C22semidirect
104. #19098478C22semidirect
105. #19098478C22semidirect
106. #19098478C22semidirect
108. #19098476C22semidirect
109. #19098476C22semidirect
110. #19098475C22semidirect
111. #19098474C22semidirect
114. #19098472C22semidirect
116. #19098471C22semidirect
117. #19098470C22semidirect
118. #19098469C22semidirect
119. #19098467C22semidirect
120. #19098467C22semidirect
121. #19098463C22semidirect
122. #19098463C22semidirect
123. #19098462C22semidirect
124. #19098461C22semidirect
125. #19098460C22semidirect
126. #19098458C22semidirect
127. #19098456C22semidirect
128. #19098455C22semidirect
129. #19098454C22semidirect
130. #19098454C22semidirect
131. #19098452C22semidirect
132. #19098451C22semidirect
133. #19098446C22semidirect
134. #19098446C22semidirect
135. #19098445C22semidirect
136. #19098445C22semidirect
137. #19098443C22semidirect
138. #19098443C22semidirect
142. #19098441C22semidirect
143. #19098441C22semidirect
144. #19098441C22semidirect
146. #19098440C22semidirect
150. #19098439C22semidirect
151. #19098438C22semidirect
156. #19098437C22semidirect
157. #19098437C22semidirect
158. #19098436C22semidirect
159. #19098435C22semidirect
160. #19098434C22semidirect
161. #19098434C22semidirect
164. #19098423C22semidirect
167. #19098422C22semidirect
168. #19098421C22semidirect
171. #19098420C22semidirect
175. C2×#124×C79C22semidirect
176. #397×C79C22semidirect
177. #394×C79C22semidirect
178. #394×C79C22semidirect
179. #393×C79C22semidirect
180. #393×C79C22semidirect
182. #391×C79C22semidirect
183. #391×C79C22semidirect
184. #388×C79C22semidirect
185. #388×C79C22semidirect
187. #386×C79C22semidirect
188. #385×C79C22semidirect
326. C22⋊C4×D79D4semidirect
896. #2712D79semidirect
916. C79#36957semidirect
932. C2×#124C2×D79semidirect
969. #397C2×D79semidirect
996. #394C2×D79semidirect
997. #394C2×D79semidirect
1002. #393C2×D79semidirect
1003. #393C2×D79semidirect
1014. #391C2×D79semidirect
1015. #391C2×D79semidirect
1028. #388C2×D79semidirect
1029. #388C2×D79semidirect
1049. #386C2×D79semidirect
1061. #385C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991472
C2×#124×D792
#237717412
#237717272
#237702152
#237702112
#237702102
#237702062
#237701712
#237701702
#237701662
#237697082
#237697022
#237697002
#237696942
#237696572
#237696542
#237696492
#237696462
#237692042
#237691392
#237682942
#237682852
#237667952
#237667892
#237667732
#237667672
#237667632
#237667582
#237660112
C79×#27122
#3695779