Finite Group Databasebeta

← #34502025

Subgroups — #34502025

Order 20224.

2406 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099188C211yesmaximal, characteristic, complemented
2C2×#124×D79C211yesmaximal, characteristic
3#23771741C211yesmaximal, characteristic, complemented
4#23771735C211yesmaximal, characteristic, complemented
5#23770005C211yesmaximal, characteristic, complemented
6#23770002C211yesmaximal, characteristic, complemented
7#23770001C211yesmaximal, characteristic, complemented
8#23769998C211yesmaximal, characteristic, complemented
9#23769995C211yesmaximal, characteristic, complemented
10#23769994C211yesmaximal, characteristic, complemented
11#23769991C211yesmaximal, characteristic, complemented
12#23769688C211yesmaximal, characteristic, complemented
13#23769687C211yesmaximal, characteristic, complemented
14#23769684C211yesmaximal, characteristic, complemented
15#23769683C211yesmaximal, characteristic, complemented
16#23769679C211yesmaximal, characteristic, complemented
17#23769678C211yesmaximal, characteristic, complemented
18#23769675C211yesmaximal, characteristic, complemented
19#23769674C211yesmaximal, characteristic, complemented
20#23769210C211yesmaximal, characteristic, complemented
21#23769204C211yesmaximal, characteristic, complemented
22#23768556C211yesmaximal, characteristic, complemented
23#23768552C211yesmaximal, characteristic, complemented
24#23767679C211yesmaximal, characteristic, complemented
25#23767677C211yesmaximal, characteristic, complemented
26#23767043C211yesmaximal, characteristic, complemented
27#23767039C211yesmaximal, characteristic, complemented
28#23766726C211yesmaximal, characteristic
29#23766722C211yesmaximal, characteristic
30#23765994C211yesmaximal, characteristic, complemented
31C79×#2700C211yesmaximal, characteristic, complemented
32C22×Q8×D79C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34#19099188—28no—
35C2×#14579161C2211yescharacteristic, complemented
36C2×#14579160C2211yescharacteristic, complemented
37C2×#14579160C2211yescharacteristic, complemented
38C2×#14579159C2211yescharacteristic, complemented
39C2×#14579150C2211yescharacteristic
40C2×#14579149C2211yescharacteristic
41C2×#14579148C2211yescharacteristic
42C2×#14579147C2211yescharacteristic
43C2×#14579147C2211yescharacteristic
44C2×#14579147C2211yescharacteristic
45C2×#14579147C2211yescharacteristic
46#124×D79—28no—
47C2×#14579146C2211yescharacteristic
48C2×#14579145C2211yescharacteristic
49C2×#14579143C2211yescharacteristic
50C2×#14579142C2211yescharacteristic
51C2×#14579141C2211yescharacteristic
52C2×#14579141C2211yescharacteristic, complemented
53C2×#14579140C2211yescharacteristic, complemented
54C2×#14579139C2211yescharacteristic
55C2×#14579139C2211yescharacteristic
56C2×#14579139C2211yescharacteristic, complemented
57C2×#14579139C2211yescharacteristic, complemented
58C2×#14579138C2211yescharacteristic, complemented
59C2×#14579138C2211yescharacteristic, complemented
60C2×#14579137C2211yescharacteristic
61C2×#14579137C2211yescharacteristic, complemented
62C22×(C2×D79)⋊C4C2211yescharacteristic
63C2×C22⋊C4×D79C2211yescharacteristic
64C2×C22⋊C4×D79C2211yescharacteristic
65C2×C22⋊C4×D79C2211yescharacteristic
66C2×C22⋊C4×D79C2211yescharacteristic
67C2×C22⋊C4×D79C2211yescharacteristic
68C2×C42×D79C2211yescharacteristic
69#19098500C2211yescharacteristic, complemented
70#19098499C2211yescharacteristic, complemented
71#19098499C2211yescharacteristic, complemented
72#19098498C2211yescharacteristic, complemented
73#19098492C2211yescharacteristic, complemented
74#19098492C2211yescharacteristic, complemented
75#19098492C2211yescharacteristic, complemented
76#19098491C2211yescharacteristic, complemented
77#19098491C2211yescharacteristic, complemented
78#19098491C2211yescharacteristic, complemented
79#19098490C2211yescharacteristic, complemented
80#19098490C2211yescharacteristic, complemented
81#19098489C2211yescharacteristic, complemented
82#19098488C2211yescharacteristic, complemented
83#19098487C2211yescharacteristic, complemented
84#19098487C2211yescharacteristic, 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#19098484C2211yescharacteristic, complemented
94#19098484C2211yescharacteristic, complemented
95#19098483C2211yescharacteristic, complemented
96#19098482C2211yescharacteristic, complemented
97#19098481C2211yescharacteristic
98#19098481C2211yescharacteristic
99#19098479C2211yescharacteristic
100#19098479C2211yescharacteristic
101#19098479C2211yescharacteristic
102#19098478C2211yescharacteristic
103#19098477C2211yescharacteristic
104#19098476C2211yescharacteristic, complemented
105#19098476C2211yescharacteristic, complemented
106#19098476C2211yescharacteristic, complemented
107#19098475C2211yescharacteristic, complemented
108#19098475C2211yescharacteristic, complemented
109#19098475C2211yescharacteristic, complemented
110#19098474C2211yescharacteristic, complemented
111#19098470C2211yescharacteristic, complemented
112#19098468C2211yescharacteristic, complemented
113#19098467C2211yescharacteristic, complemented
114#19098467C2211yescharacteristic, complemented
115#19098467C2211yescharacteristic, complemented
116#19098467C2211yescharacteristic, complemented
117#19098462C2211yescharacteristic, complemented
118#19098461C2211yescharacteristic, complemented
119#19098460C2211yescharacteristic, complemented
120#19098458C2211yescharacteristic, complemented
121#19098457C2211yescharacteristic, complemented
122#19098457C2211yescharacteristic, complemented
123#19098456C2211yescharacteristic, complemented
124#19098456C2211yescharacteristic, complemented
125#19098456C2211yescharacteristic, complemented
126#19098455C2211yescharacteristic, complemented
127#19098455C2211yescharacteristic, complemented
128#19098455C2211yescharacteristic, complemented
129#19098454C2211yescharacteristic, complemented
130#19098454C2211yescharacteristic, complemented
131#19098453C2211yescharacteristic, complemented
132#19098453C2211yescharacteristic, complemented
133#19098452C2211yescharacteristic, complemented
134#19098451C2211yescharacteristic, complemented
135#19098448C2211yescharacteristic, complemented
136#19098447C2211yescharacteristic, complemented
137#19098446C2211yescharacteristic, complemented
138#19098446C2211yescharacteristic, complemented
139#19098445C2211yescharacteristic, complemented
140#19098445C2211yescharacteristic, complemented
141#19098444C2211yescharacteristic, complemented
142#19098442C2211yescharacteristic
143#19098441C2211yescharacteristic
144#19098439C2211yescharacteristic
145#19098438C2211yescharacteristic, complemented
146#19098437C2211yescharacteristic
147#19098437C2211yescharacteristic
148#19098437C2211yescharacteristic
149#19098437C2211yescharacteristic
150#19098437C2211yescharacteristic
151#19098437C2211yescharacteristic
152#19098437C2211yescharacteristic, complemented
153#19098435C2211yescharacteristic, complemented
154#19098434C2211yescharacteristic
155#19098434C2211yescharacteristic
156#19098434C2211yescharacteristic, complemented
157#19098426C2211yescharacteristic, complemented
158#19098425C2211yescharacteristic
159#19098425C2211yescharacteristic
160#19098425C2211yescharacteristic
161#19098425C2211yescharacteristic
162#19098425C2211yescharacteristic, complemented
163#19098425C2211yescharacteristic, complemented
164#19098422C2211yescharacteristic
165#19098420C2211yescharacteristic
166#19098418C2211yescharacteristic
167#19098418C2211yescharacteristic
168#19098418C2211yescharacteristic
169#19098418C2211yescharacteristic
170#19098418C2211yescharacteristic
171#19098418C2211yescharacteristic
172C4×(C2×D79)⋊C4C2211yescharacteristic
173#19098410C2211yescharacteristic
174C2×#124×C79C2211yescharacteristic
175C2×C22⋊Q8×C79C2211yescharacteristic, complemented
176#397×C79C2211yescharacteristic, complemented
177#397×C79C2211yescharacteristic, complemented
178#396×C79C2211yescharacteristic, complemented
179#395×C79C2211yescharacteristic, complemented
180#394×C79C2211yescharacteristic
181#393×C79C2211yescharacteristic, complemented
182#391×C79C2211yescharacteristic, complemented
183#391×C79C2211yescharacteristic, complemented
184#388×C79C2211yescharacteristic, complemented
185#388×C79C2211yescharacteristic, complemented
186#387×C79C2211yescharacteristic, complemented
187#386×C79C2211yescharacteristic
188#381×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×Dic158C2311yescharacteristic
193C22×Dic158C2311yescharacteristic
194C22×Dic158C2311yescharacteristic
195C22×Dic158C2311yescharacteristic
196C22×Dic158C2311yescharacteristic
197C2×Q8×D79—24no—
198C2×Q8×D79—42no—
199C2×Q8×D79—42no—
200C22×D316C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C2×D4×D79—24no—
204C2×D4×D79—42no—
205C2×D4×D79—42no—
206C23×Dic79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214#14579161—42no—
215#14579160—42no—
216#14579160—42no—
217#14579159—42no—
218#14579150—24no—
219#14579149—24no—
220#14579148—24no—
221#14579147—24no—
222#14579147—24no—
223#14579147—24no—
224#14579147—24no—
225#14579146—42no—
226#14579145—42no—
227#14579143—42no—
228#14579142—42no—
229#14579141—24no—
230#14579141—24no—
231#14579140—24no—
232#14579139—24no—
233#14579139—24no—
234#14579139—24no—
235#14579139—24no—
236#14579138—24no—
237#14579138—24no—
238#14579137—24no—
239#14579137—24no—
240C2×C4⋊Dic79C2311yescharacteristic
241C2×C4⋊Dic79C2311yescharacteristic
242C2×C4⋊Dic79C2311yescharacteristic
243C2×C4⋊Dic79C2311yescharacteristic
244C2×C4⋊Dic79C2311yescharacteristic
245C2×C4⋊Dic79C2311yescharacteristic
246C2×C4⋊Dic79C2311yescharacteristic
247C2×C4⋊Dic79C2311yescharacteristic
248C2×C4⋊Dic79C2311yescharacteristic
249C2×C4⋊Dic79C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
258C2×Dic79⋊C4C2311yescharacteristic
259C2×Dic79⋊C4C2311yescharacteristic
260C2×Dic79⋊C4C2311yescharacteristic
261C2×Dic79⋊C4C2311yescharacteristic
262C2×Dic79⋊C4C2311yescharacteristic
263C2×Dic79⋊C4C2311yescharacteristic
264C2×Dic79⋊C4C2311yescharacteristic
265C2×Dic79⋊C4C2311yescharacteristic
266C2×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×(C2×D79)⋊C4—24no—
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×(C2×D79)⋊C4C2311yescharacteristic
308C22⋊C4×D79—24no—
309C22⋊C4×D79—24no—
310C22⋊C4×D79—24no—
311C22⋊C4×D79—24no—
312C22⋊C4×D79D418yes—
313C2×C4×Dic79C2311yescharacteristic
314C2×C4×Dic79C2311yescharacteristic
315C2×C4×Dic79C2311yescharacteristic
316C2×C4×Dic79C2311yescharacteristic
317C2×C4×Dic79C2311yescharacteristic
318C2×C4×Dic79C2311yescharacteristic
319C42×D79—24no—
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C79⋊#95C2311yescharacteristic
343C79⋊#95C2311yescharacteristic
344C79⋊#95C2311yescharacteristic
345C79⋊#95C2311yescharacteristic
346C79⋊#95C2311yescharacteristic
347C79⋊#95C2311yescharacteristic
348C22×Q8×C79C2311yescharacteristic
349C22×Q8×C79C2311yescharacteristic
350C22×D4×C79C2311yescharacteristic
351C23×C4×C79C2311yescharacteristic
352#124×C79—24no—
353C22⋊Q8×C79—24no—
354C2×C4⋊C4×C79C2311yescharacteristic
355C2×C4⋊C4×C79C2311yescharacteristic
356C2×C4⋊C4×C79C2311yescharacteristic
357C2×C4⋊C4×C79C2311yescharacteristic
358C2×C4⋊C4×C79C2311yescharacteristic
359C2×C4⋊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×C42×C79C2311yescharacteristic
372C2×C42×C79C2311yescharacteristic
373#95×C79C2311yescharacteristic
374#95×C79C2311yescharacteristic
375#95×C79C2311yescharacteristic
376#95×C79C2311yescharacteristic
377#95×C79C2311yescharacteristic
378#95×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—22no—
389C23×D79—22no—
390C23×D79—41no—
391C23×D79—41no—
392C23×D79—41no—
393C23×D79—41no—
394C23×D79—41no—
395C23×D79—41no—
396C23×D79—41no—
397C23×D79—41no—
398C23×D79C2×D414yes—
399C23×D79C2411yescharacteristic
400C23×D79C2411yescharacteristic
401C23×D79C2411yescharacteristic
402C2×Dic158—22no—
403C2×Dic158—22no—
404C2×Dic158—22no—
405C2×Dic158—22no—
406C2×Dic158—22no—
407C2×Dic158—22no—
408C2×Dic158—22no—
409C2×Dic158—22no—
410C2×Dic158—22no—
411C2×Dic158—41no—
412C2×Dic158—41no—
413C2×Dic158—41no—
414C2×Dic158—41no—
415C2×Dic158—41no—
416C2×Dic158—41no—
417C2×Dic158—41no—
418C2×Dic158—41no—
419C2×Dic158—41no—
420Q8×D79—416no—
421C2×D316—22no—
422C2×D316—22no—
423C2×D316—41no—
424C2×C22⋊D79—22no—
425C2×C22⋊D79—22no—
426C2×C22⋊D79—22no—
427C2×C22⋊D79—22no—
428C2×C22⋊D79—41no—
429C2×C22⋊D79—41no—
430D4×D79—416no—
431C22×Dic79—22no—
432C22×Dic79—41no—
433C22×Dic79—41no—
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
443C22×Dic79C2411yescharacteristic
444C22×Dic79C2411yescharacteristic
445C22×Dic79C2411yescharacteristic
446C22×Dic79C2411yescharacteristic
447C2×C4×D79—22no—
448C2×C4×D79—22no—
449C2×C4×D79—22no—
450C2×C4×D79—22no—
451C2×C4×D79—22no—
452C2×C4×D79—22no—
453C2×C4×D79—22no—
454C2×C4×D79—22no—
455C2×C4×D79—22no—
456C2×C4×D79—41no—
457C2×C4×D79—41no—
458C2×C4×D79—41no—
459C2×C4×D79—41no—
460C2×C4×D79—41no—
461C2×C4×D79—41no—
462C2×C4×D79—41no—
463C2×C4×D79—41no—
464C2×C4×D79—41no—
465C2×C4×D79—41no—
466C2×C4×D79C2×D414yes—
467C2×C4×D79C2×D414yes—
468C4⋊Dic79—22no—
469C4⋊Dic79—22no—
470C4⋊Dic79—22no—
471C4⋊Dic79—22no—
472C4⋊Dic79—22no—
473C4⋊Dic79—22no—
474C4⋊Dic79—41no—
475C4⋊Dic79—41no—
476C4⋊Dic79—41no—
477C4⋊Dic79—41no—
478Dic79⋊C4—22no—
479Dic79⋊C4—22no—
480Dic79⋊C4—22no—
481Dic79⋊C4—22no—
482Dic79⋊C4—22no—
483Dic79⋊C4—22no—
484Dic79⋊C4—22no—
485Dic79⋊C4—22no—
486Dic79⋊C4—22no—
487Dic79⋊C4—22no—
488Dic79⋊C4—41no—
489Dic79⋊C4—41no—
490Dic79⋊C4—41no—
491Dic79⋊C4—41no—
492Dic79⋊C4—41no—
493Dic79⋊C4—41no—
494C22⋊Dic79—22no—
495C22⋊Dic79—22no—
496C22⋊Dic79—22no—
497C22⋊Dic79—22no—
498C22⋊Dic79—41no—
499C22⋊Dic79—41no—
500C22⋊Dic79—41no—
501C22⋊Dic79—41no—
502C22⋊Dic79—41no—
503C22⋊Dic79—41no—
504C22⋊Dic79C2×D414yes—
505(C2×D79)⋊C4—22no—
506(C2×D79)⋊C4—22no—
507(C2×D79)⋊C4—22no—
508(C2×D79)⋊C4—22no—
509(C2×D79)⋊C4—22no—
510(C2×D79)⋊C4—22no—
511(C2×D79)⋊C4—22no—
512(C2×D79)⋊C4—22no—
513(C2×D79)⋊C4—22no—
514(C2×D79)⋊C4—22no—
515(C2×D79)⋊C4—22no—
516(C2×D79)⋊C4—22no—
517(C2×D79)⋊C4—22no—
518(C2×D79)⋊C4—22no—
519(C2×D79)⋊C4—22no—
520(C2×D79)⋊C4—22no—
521(C2×D79)⋊C4—41no—
522(C2×D79)⋊C4—41no—
523(C2×D79)⋊C4—41no—
524(C2×D79)⋊C4—41no—
525(C2×D79)⋊C4—41no—
526(C2×D79)⋊C4—41no—
527(C2×D79)⋊C4—41no—
528(C2×D79)⋊C4—41no—
529(C2×D79)⋊C4—41no—
530(C2×D79)⋊C4—41no—
531(C2×D79)⋊C4—41no—
532(C2×D79)⋊C4—41no—
533(C2×D79)⋊C4C2×D414yes—
534(C2×D79)⋊C4C2×D414yes—
535C4×Dic79—22no—
536C4×Dic79—22no—
537C4×Dic79—22no—
538C4×Dic79—41no—
539C4×Dic79—41no—
540C4×Dic79—41no—
541C24×C79C2411yescharacteristic
542C24×C79C2411yescharacteristic
543C2×Q8×C79—22no—
544C2×Q8×C79—22no—
545C2×Q8×C79—22no—
546C2×Q8×C79—41no—
547C2×Q8×C79—41no—
548C2×Q8×C79—41no—
549C2×D4×C79—22no—
550C2×D4×C79—22no—
551C2×D4×C79—41no—
552C22×C4×C79—22no—
553C22×C4×C79—41no—
554C22×C4×C79—41no—
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C22×C4×C79C2411yescharacteristic
559C22×C4×C79C2411yescharacteristic
560C22×C4×C79C2411yescharacteristic
561C22×C4×C79C2411yescharacteristic
562C22×C4×C79C2411yescharacteristic
563C22×C4×C79C2411yescharacteristic
564C22×C4×C79C2411yescharacteristic
565C22×C4×C79C2411yescharacteristic
566C22×C4×C79C2411yescharacteristic
567C22×C4×C79C2411yescharacteristic
568C4⋊C4×C79—22no—
569C4⋊C4×C79—22no—
570C4⋊C4×C79—22no—
571C4⋊C4×C79—22no—
572C4⋊C4×C79—41no—
573C4⋊C4×C79—41no—
574C22⋊C4×C79—22no—
575C22⋊C4×C79—22no—
576C22⋊C4×C79—22no—
577C22⋊C4×C79—22no—
578C22⋊C4×C79—41no—
579C22⋊C4×C79—41no—
580C22⋊C4×C79—41no—
581C22⋊C4×C79—41no—
582C22⋊C4×C79—41no—
583C22⋊C4×C79—41no—
584C22⋊C4×C79C2×D414yes—
585C42×C79—22no—
586C42×C79—41no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79—21no—
596C23×C79—21no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79C22×D412yes—
601C23×C79C2511yescharacteristic
602C22×D79—21no—
603C22×D79—21no—
604C22×D79—21no—
605C22×D79—21no—
606C22×D79—21no—
607C22×D79—21no—
608C22×D79—21no—
609C22×D79—21no—
610C22×D79—21no—
611C22×D79—21no—
612C22×D79—28no—
613C22×D79—21no—
614C22×D79—21no—
615C22×D79—21no—
616C22×D79—21no—
617C22×D79—21no—
618C22×D79—21no—
619C22×D79—21no—
620C22×D79—44no—
621C22×D79—44no—
622C22×D79—44no—
623C22×D79—44no—
624C22×D79—44no—
625C22×D79—82no—
626C22×D79—82no—
627C22×D79—82no—
628C22×D79—82no—
629C22×D79—82no—
630C22×D79—82no—
631C22×D79—82no—
632C22×D79—82no—
633C22×D79C22×D412yes—
634C22×D79C22×D412yes—
635C22×D792−1+412yes—
636C22×D792−1+412yes—
637Q8×C79—44no—
638Q8×C79—82no—
639D4×C79—44no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
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—82no—
677C2×C4×C79C22×D412yes—
678C2×C4×C79C22×D412yes—
679C2×C4×C79H(5,𝔽2)12yes—
680C22⋊D79—44no—
681C22⋊D79—44no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—82no—
719C2×Dic79C22×D412yes—
720C2×Dic79C22×D412yes—
721C2×Dic79H(5,𝔽2)12yes—
722D316—44no—
723C4×D79—28no—
724C4×D79—44no—
725C4×D79—44no—
726C4×D79—44no—
727C4×D79—44no—
728C4×D79—82no—
729C4×D79—82no—
730Dic158—44no—
731Dic158—44no—
732Dic158—44no—
733Dic158—82no—
734Dic158—82no—
735Dic158—82no—
736C22×C79—22no—
737C22×C79—22no—
738C22×C79—22no—
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×C79C23×D411yescharacteristic
751C22×C79C2×H(5,𝔽2)11yescharacteristic
752C22×C79C2×H(5,𝔽2)11yescharacteristic
753C22×C79C2×2−1+411yescharacteristic
754C22×C79C2×2−1+411yescharacteristic
755C22×C79#58511yescharacteristic
756C22×C79#58511yescharacteristic
757C2×D79—22no—
758C2×D79—22no—
759C2×D79—22no—
760C2×D79—22no—
761C2×D79—22no—
762C2×D79—22no—
763C2×D79—22no—
764C2×D79—22no—
765C2×D79—22no—
766C2×D79—41no—
767C2×D79—41no—
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—88no—
778C2×D79—88no—
779C2×D79#53614yes—
780C4×C79—22no—
781C4×C79—22no—
782C4×C79—22no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79—41no—
787C4×C79—41no—
788C4×C79—41no—
789C4×C79—41no—
790C4×C79—41no—
791C4×C79—41no—
792C4×C79—41no—
793Dic79—22no—
794Dic79—22no—
795Dic79—22no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800Dic79—41no—
801Dic79—41no—
802Dic79—41no—
803Dic79—41no—
804Dic79—41no—
805Dic79—41no—
806#36966—791nomaximal, Sylow
807C2×C79—42no—
808C2×C79—81no—
809C2×C79C2×#53611yescharacteristic
810C2×C79#348411yescharacteristic
811C2×C79#348511yescharacteristic
812C2×C79#356111yescharacteristic
813C2×C79#356111yescharacteristic
814C2×C79#356111yescharacteristic
815C2×C79#356111yescharacteristic
816D79—24no—
817D79—42no—
818D79—81no—
819C2×#543—791no—
820C22×#124—791no—
821#2855—791no—
822#2855—791no—
823#2700—791no—
824#2700—791no—
825#2700—791no—
826#2700—791no—
827#2700—791no—
828#2700—791no—
829#2700—791no—
830#2700D7911yescharacteristic, complemented
831#2674—791no—
832#2674—791no—
833#2674—791no—
834#2674—791no—
835#2674—791no—
836#2674—791no—
837#2674—791no—
838#2674—791no—
839#2626—791no—
840#2626—791no—
841#2561—791no—
842#2561—791no—
843#2483—791no—
844#2483—791no—
845#2434—791no—
846#2434—791no—
847#2405—791no—
848#2405—791no—
849#2312—791no—
850C79#3696611yescharacteristic, complemented, Sylow
851C23×Q8—791no—
852C23×D4—791no—
853#543—1588no—
854C2×C4⋊Q8—791no—
855C2×C4⋊Q8—791no—
856C2×C4⋊Q8—791no—
857C2×C4⋊Q8—791no—
858C2×#124—791no—
859C2×#124—791no—
860C2×#124—791no—
861C2×#124—791no—
862C2×#124—791no—
863C2×#124—791no—
864C2×#124—791no—
865C2×#124—1588no—
866C2×#124C2×D7911yescharacteristic
867C2×#123—791no—
868C2×#123—791no—
869C2×#123—791no—
870C2×#123—791no—
871C2×C22⋊Q8—791no—
872C2×C22⋊Q8—791no—
873C2×C22⋊Q8—791no—
874C2×C22⋊Q8—791no—
875C2×C22⋊Q8—791no—
876C2×C22⋊Q8—791no—
877C2×C22⋊Q8—791no—
878C2×C22⋊Q8—791no—
879C2×C22⋊Q8—791no—
880C2×C22⋊Q8—791no—
881C2×C22⋊Q8—791no—
882C2×C22⋊Q8C2×D7911yescharacteristic, complemented
883C22×C22⋊C4—791no—
884C22×C22⋊C4—791no—
885C22×C22⋊C4—791no—
886C22×C22⋊C4—791no—
887C22×C22⋊C4—791no—
888C22×C22⋊C4—791no—
889C22×C42—791no—
890#399—791no—
891#399—791no—
892#399—791no—
893#399—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#397—791no—
904#397C2×D7911yescharacteristic, complemented
905#397C2×D7911yescharacteristic, complemented
906#396—791no—
907#396—791no—
908#396—791no—
909#396—791no—
910#396—791no—
911#396—791no—
912#396—791no—
913#396C2×D7911yescharacteristic, complemented
914#395—791no—
915#395—791no—
916#395—791no—
917#395—791no—
918#395—791no—
919#395—791no—
920#395—791no—
921#395C2×D7911yescharacteristic, complemented
922#394—791no—
923#394—791no—
924#394—791no—
925#394—791no—
926#394—791no—
927#394—791no—
928#394—791no—
929#394C2×D7911yescharacteristic
930#393—791no—
931#393—791no—
932#393—791no—
933#393—791no—
934#393—791no—
935#393—791no—
936#393—791no—
937#393C2×D7911yescharacteristic, complemented
938#391—791no—
939#391—791no—
940#391—791no—
941#391—791no—
942#391—791no—
943#391—791no—
944#391C2×D7911yescharacteristic, complemented
945#391C2×D7911yescharacteristic, complemented
946#389—791no—
947#389—791no—
948#389—791no—
949#389—791no—
950#388—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#388C2×D7911yescharacteristic, complemented
965#388C2×D7911yescharacteristic, complemented
966#387—791no—
967#387—791no—
968#387—791no—
969#387—791no—
970#387—791no—
971#387—791no—
972#387—791no—
973#387C2×D7911yescharacteristic, complemented
974#386—791no—
975#386—791no—
976#386—791no—
977#386C2×D7911yescharacteristic
978#385—791no—
979#385—791no—
980#385—791no—
981#385—791no—
982#385—791no—
983#385—791no—
984#385—791no—
985#385—791no—
986#385—791no—
987#385—791no—
988#385—791no—
989#385—791no—
990#381—791no—
991#381—791no—
992#381—791no—
993#381—791no—
994#381—791no—
995#381—791no—
996#381—791no—
997#381C2×D7911yescharacteristic, complemented
998#380—791no—
999#380—791no—
1000#379—791no—
1001#379—791no—
1002#379—791no—
1003#379—791no—
1004#379—791no—
1005#379—791no—
1006C4×C22⋊C4—791no—
1007C4×C22⋊C4—791no—
1008C25—791no—
1009C25—791no—
1010C22×Q8—3162no—
1011C22×Q8—3162no—
1012C22×Q8—791no—
1013C22×Q8—791no—
1014C22×Q8—791no—
1015C22×Q8—791no—
1016C22×Q8—791no—
1017C22×Q8—791no—
1018C22×Q8—1584no—
1019C22×Q8C22×D7911yescharacteristic
1020C22×Q8C22×D7911yescharacteristic
1021C22×D4—3162no—
1022C22×D4—3162no—
1023C22×D4—791no—
1024C22×D4—791no—
1025C22×D4—791no—
1026C22×D4—1584no—
1027C22×D4C22×D7911yescharacteristic
1028C23×C4—791no—
1029C23×C4—791no—
1030C23×C4—791no—
1031C23×C4—791no—
1032C23×C4—791no—
1033C23×C4—791no—
1034C23×C4—791no—
1035C23×C4—791no—
1036C23×C4C22×D7911yescharacteristic
1037C4⋊Q8—3162no—
1038C4⋊Q8—3162no—
1039C4⋊Q8—3162no—
1040C4⋊Q8—3162no—
1041#124—24no—
1042#124—1584no—
1043#124—1584no—
1044#124—1584no—
1045#124—1584no—
1046#124—1584no—
1047#124—1584no—
1048#124—1584no—
1049#123—3162no—
1050#123—3162no—
1051#123—3162no—
1052#123—3162no—
1053C22⋊Q8—24no—
1054C22⋊Q8—1584no—
1055C22⋊Q8—1584no—
1056C22⋊Q8—1584no—
1057C22⋊Q8—1584no—
1058C22⋊Q8—1584no—
1059C22⋊Q8—1584no—
1060C22⋊Q8—1584no—
1061C22⋊Q8—1584no—
1062C22⋊Q8—1584no—
1063C22⋊Q8—1584no—
1064C22⋊Q8—1584no—
1065C2×C4⋊C4—791no—
1066C2×C4⋊C4—791no—
1067C2×C4⋊C4—791no—
1068C2×C4⋊C4—791no—
1069C2×C4⋊C4—791no—
1070C2×C4⋊C4—791no—
1071C2×C4⋊C4—791no—
1072C2×C4⋊C4—791no—
1073C2×C4⋊C4—791no—
1074C2×C4⋊C4—791no—
1075C2×C4⋊C4—791no—
1076C2×C4⋊C4—791no—
1077C2×C4⋊C4—791no—
1078C2×C4⋊C4—791no—
1079C2×C4⋊C4—791no—
1080C2×C4⋊C4—791no—
1081C2×C4⋊C4—791no—
1082C2×C4⋊C4—791no—
1083C2×C4⋊C4—791no—
1084C2×C4⋊C4—791no—
1085C2×C4⋊C4—791no—
1086C2×C4⋊C4—791no—
1087C2×C4⋊C4—791no—
1088C2×C4⋊C4—791no—
1089C2×C4⋊C4—791no—
1090C2×C4⋊C4—791no—
1091C2×C4⋊C4C22×D7911yescharacteristic
1092C2×C4⋊C4C22×D7911yescharacteristic
1093C2×C4⋊C4C22×D7911yescharacteristic
1094C2×C4⋊C4C22×D7911yescharacteristic
1095C2×C4⋊C4C22×D7911yescharacteristic
1096C2×C4⋊C4C22×D7911yescharacteristic
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—798no—
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—791no—
1130C2×C22⋊C4—791no—
1131C2×C22⋊C4—791no—
1132C2×C22⋊C4—791no—
1133C2×C22⋊C4—791no—
1134C2×C22⋊C4—791no—
1135C2×C22⋊C4—791no—
1136C2×C22⋊C4—791no—
1137C2×C22⋊C4—791no—
1138C2×C22⋊C4—791no—
1139C2×C22⋊C4—1584no—
1140C2×C22⋊C4—1584no—
1141C2×C22⋊C4—1584no—
1142C2×C22⋊C4—1584no—
1143C2×C22⋊C4—1584no—
1144C2×C22⋊C4C22×D7911yescharacteristic
1145C2×C22⋊C4C22×D7911yescharacteristic
1146C2×C22⋊C4C22×D7911yescharacteristic
1147C2×C22⋊C4C22×D7911yescharacteristic
1148C2×C22⋊C4C22×D7911yescharacteristic
1149C2×C22⋊C4C22×D7911yescharacteristic
1150C2×C22⋊C4C22×D7911yescharacteristic
1151C2×C22⋊C4C22×D7911yescharacteristic
1152C2×C22⋊C4C22×D7911yescharacteristic
1153C2×C22⋊C4C22×D7911yescharacteristic
1154C2×C22⋊C4C22×D7911yescharacteristic
1155C2×C42—791no—
1156C2×C42—791no—
1157C2×C42—791no—
1158C2×C42—791no—
1159C2×C42—791no—
1160C2×C42—791no—
1161C2×C42—1584no—
1162C2×C42C22×D7911yescharacteristic
1163C2×C42C22×D7911yescharacteristic
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#95C22×D7911yescharacteristic
1193#95C22×D7911yescharacteristic
1194#95C22×D7911yescharacteristic
1195#95C22×D7911yescharacteristic
1196#95C22×D7911yescharacteristic
1197#95C22×D7911yescharacteristic
1198#95C22×D7911yescharacteristic
1199#95C22×D7911yescharacteristic
1200#95C22×D7911yescharacteristic
1201#95C22×D7911yescharacteristic
1202#95C22×D7911yescharacteristic
1203#95C22×D7911yescharacteristic
1204C24—3161no—
1205C24—3161no—
1206C24—3161no—
1207C24—3161no—
1208C24—3161no—
1209C24—3161no—
1210C24—3161no—
1211C24—3161no—
1212C24—794no—
1213C24—791no—
1214C24—791no—
1215C24—791no—
1216C24—1582no—
1217C24—1582no—
1218C24—1582no—
1219C24—1582no—
1220C24—1582no—
1221C24C23×D7911yescharacteristic
1222C24C23×D7911yescharacteristic
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—22no—
1226C2×Q8—41no—
1227C2×Q8—41no—
1228C2×Q8—41no—
1229C2×Q8—3161no—
1230C2×Q8—3161no—
1231C2×Q8—3161no—
1232C2×Q8—3161no—
1233C2×Q8—3161no—
1234C2×Q8—3161no—
1235C2×Q8—3161no—
1236C2×Q8—3161no—
1237C2×Q8—3161no—
1238C2×Q8—31616no—
1239C2×Q8—1582no—
1240C2×Q8—1582no—
1241C2×Q8—1582no—
1242C2×Q8—1582no—
1243C2×Q8—1582no—
1244C2×Q8—1582no—
1245C2×Q8—1582no—
1246C2×Q8—1582no—
1247C2×Q8—1582no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—41no—
1251C2×D4—3161no—
1252C2×D4—31616no—
1253C2×D4—3161no—
1254C2×D4—3161no—
1255C2×D4—1582no—
1256C2×D4—1582no—
1257C2×D4—1582no—
1258C2×D4—1582no—
1259C2×D4—1582no—
1260C2×D4—1582no—
1261C22×C4—22no—
1262C22×C4—41no—
1263C22×C4—41no—
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—3161no—
1274C22×C4—3161no—
1275C22×C4—3161no—
1276C22×C4—794no—
1277C22×C4—794no—
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—791no—
1290C22×C4—791no—
1291C22×C4—1582no—
1292C22×C4—1582no—
1293C22×C4—1582no—
1294C22×C4—1582no—
1295C22×C4—1582no—
1296C22×C4—1582no—
1297C22×C4—1582no—
1298C22×C4—1582no—
1299C22×C4—1582no—
1300C22×C4—1582no—
1301C22×C4C23×D7911yescharacteristic
1302C22×C4C23×D7911yescharacteristic
1303C22×C4C23×D7911yescharacteristic
1304C22×C4C23×D7911yescharacteristic
1305C22×C4C23×D7911yescharacteristic
1306C22×C4C23×D7911yescharacteristic
1307C22×C4C23×D7911yescharacteristic
1308C22×C4C23×D7911yescharacteristic
1309C22×C4C23×D7911yescharacteristic
1310C22×C4C23×D7911yescharacteristic
1311C22×C4C23×D7911yescharacteristic
1312C22×C4C23×D7911yescharacteristic
1313C22×C4C23×D7911yescharacteristic
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—3161no—
1321C4⋊C4—3161no—
1322C4⋊C4—3161no—
1323C4⋊C4—3161no—
1324C4⋊C4—3161no—
1325C4⋊C4—3161no—
1326C4⋊C4—3161no—
1327C4⋊C4—3161no—
1328C4⋊C4—3161no—
1329C4⋊C4—3161no—
1330C4⋊C4—1582no—
1331C4⋊C4—1582no—
1332C4⋊C4—1582no—
1333C4⋊C4—1582no—
1334C4⋊C4—1582no—
1335C4⋊C4—1582no—
1336C4⋊C4—1582no—
1337C4⋊C4—1582no—
1338C4⋊C4—1582no—
1339C4⋊C4—1582no—
1340C4⋊C4—1582no—
1341C4⋊C4—1582no—
1342C4⋊C4—1582no—
1343C4⋊C4—1582no—
1344C4⋊C4—1582no—
1345C4⋊C4—1582no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
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—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—794no—
1375C22⋊C4—794no—
1376C22⋊C4—794no—
1377C22⋊C4—1582no—
1378C22⋊C4—1582no—
1379C22⋊C4—1582no—
1380C22⋊C4—1582no—
1381C22⋊C4—1582no—
1382C22⋊C4—1582no—
1383C22⋊C4—1582no—
1384C22⋊C4—1582no—
1385C22⋊C4—1582no—
1386C22⋊C4—1582no—
1387C22⋊C4—1582no—
1388C22⋊C4—1582no—
1389C22⋊C4—1582no—
1390C22⋊C4—1582no—
1391C22⋊C4—1582no—
1392C22⋊C4—1582no—
1393C22⋊C4—1582no—
1394C22⋊C4—1582no—
1395C22⋊C4—1582no—
1396C22⋊C4—1582no—
1397C22⋊C4D4×D7914yes—
1398C42—22no—
1399C42—41no—
1400C42—3161no—
1401C42—3161no—
1402C42—3161no—
1403C42—1582no—
1404C42—1582no—
1405C42—1582no—
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—3164no—
1420C23—3164no—
1421C23—3164no—
1422C23—3164no—
1423C23—3164no—
1424C23—792no—
1425C23—792no—
1426C23—792no—
1427C23—792no—
1428C23—6322no—
1429C23—6322no—
1430C23—6322no—
1431C23—6322no—
1432C23—6322no—
1433C23—6322no—
1434C23—6322no—
1435C23—6322no—
1436C23—1588no—
1437C23—1581no—
1438C23—1581no—
1439C23—1581no—
1440C23—1581no—
1441C23—1581no—
1442C23—1581no—
1443C23—1581no—
1444C23—1581no—
1445C23—1581no—
1446C23—1581no—
1447C23—1581no—
1448C23—1581no—
1449C23—1581no—
1450C23—1581no—
1451C23—1581no—
1452C23—1581no—
1453C23—1581no—
1454C23C2×D4×D7912yes—
1455C23C24×D7911yescharacteristic
1456Q8—44no—
1457Q8—82no—
1458Q8—3164no—
1459Q8—3164no—
1460Q8—3164no—
1461Q8—6322no—
1462Q8—6322no—
1463Q8—6322no—
1464D4—44no—
1465D4—3164no—
1466D4—3164no—
1467D4—3164no—
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—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—82no—
1505C2×C4—3164no—
1506C2×C4—3164no—
1507C2×C4—3164no—
1508C2×C4—3164no—
1509C2×C4—792no—
1510C2×C4—792no—
1511C2×C4—792no—
1512C2×C4—6322no—
1513C2×C4—6322no—
1514C2×C4—6322no—
1515C2×C4—1588no—
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×C4—1581no—
1546C2×C4—1581no—
1547C2×C4—1581no—
1548C2×C4—1581no—
1549C2×C4—1581no—
1550C2×C4—1581no—
1551C2×C4—1581no—
1552C2×C4C2×D4×D7912yes—
1553C2×C4C2×D4×D7912yes—
1554C2×C4#1457920712yes—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—3161no—
1570C22—3161no—
1571C22—3161no—
1572C22—3161no—
1573C22—3161no—
1574C22—3161no—
1575C22—3161no—
1576C22—3161no—
1577C22—3161no—
1578C22—3161no—
1579C22—3161no—
1580C22—794no—
1581C22—6328no—
1582C22—6328no—
1583C22—1582no—
1584C22—1582no—
1585C22—1582no—
1586C22—1582no—
1587C22—1582no—
1588C22—1582no—
1589C22—1582no—
1590C22—1582no—
1591C22—1582no—
1592C22C22×D4×D7911yescharacteristic
1593C22H(5,𝔽2)×D7911yescharacteristic
1594C22C2×#1457920711yescharacteristic
1595C222−1+4×D7911yescharacteristic
1596C222−1+4×D7911yescharacteristic
1597C22#1909939811yescharacteristic
1598C22#1909939911yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—3161no—
1616C4—3161no—
1617C4—3161no—
1618C4—3161no—
1619C4—3161no—
1620C4—3161no—
1621C4—3161no—
1622C4—1582no—
1623C4—1582no—
1624C4—1582no—
1625C2—42no—
1626C2—81no—
1627C2—3162no—
1628C2—6321no—
1629C2—1584no—
1630C2#536×D7911yescharacteristic
1631C2#2377703011yescharacteristic
1632C2#2377703711yescharacteristic
1633C2#2377796211yescharacteristic
1634C2#2377796411yescharacteristic
1635C2#2377796911yescharacteristic
1636C2#2377797111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2700C2
prime radicalC22×D4×D79C22
hypercenter#2700D79
hypocenterC79#36966
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2700

Complements

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

NH ≅ G/Ntype
1. C2×#19099188C2semidirect
3. #23771741C2semidirect
4. #23771735C2semidirect
5. #23770005C2semidirect
6. #23770002C2semidirect
7. #23770001C2semidirect
8. #23769998C2semidirect
9. #23769995C2semidirect
10. #23769994C2semidirect
11. #23769991C2semidirect
12. #23769688C2semidirect
13. #23769687C2semidirect
14. #23769684C2semidirect
15. #23769683C2semidirect
16. #23769679C2semidirect
17. #23769678C2semidirect
18. #23769675C2semidirect
19. #23769674C2semidirect
20. #23769210C2semidirect
21. #23769204C2semidirect
22. #23768556C2semidirect
23. #23768552C2semidirect
24. #23767679C2semidirect
25. #23767677C2semidirect
26. #23767043C2semidirect
27. #23767039C2semidirect
30. #23765994C2semidirect
31. C79×#2700C2semidirect
35. C2×#14579161C22semidirect
36. C2×#14579160C22semidirect
37. C2×#14579160C22semidirect
38. C2×#14579159C22semidirect
52. C2×#14579141C22semidirect
53. C2×#14579140C22semidirect
56. C2×#14579139C22semidirect
57. C2×#14579139C22semidirect
58. C2×#14579138C22semidirect
59. C2×#14579138C22semidirect
61. C2×#14579137C22semidirect
69. #19098500C22semidirect
70. #19098499C22semidirect
71. #19098499C22semidirect
72. #19098498C22semidirect
73. #19098492C22semidirect
74. #19098492C22semidirect
75. #19098492C22semidirect
76. #19098491C22semidirect
77. #19098491C22semidirect
78. #19098491C22semidirect
79. #19098490C22semidirect
80. #19098490C22semidirect
81. #19098489C22semidirect
82. #19098488C22semidirect
83. #19098487C22semidirect
84. #19098487C22semidirect
85. #19098486C22semidirect
86. #19098486C22semidirect
87. #19098486C22semidirect
88. #19098485C22semidirect
89. #19098485C22semidirect
90. #19098484C22semidirect
91. #19098484C22semidirect
92. #19098484C22semidirect
93. #19098484C22semidirect
94. #19098484C22semidirect
95. #19098483C22semidirect
96. #19098482C22semidirect
104. #19098476C22semidirect
105. #19098476C22semidirect
106. #19098476C22semidirect
107. #19098475C22semidirect
108. #19098475C22semidirect
109. #19098475C22semidirect
110. #19098474C22semidirect
111. #19098470C22semidirect
112. #19098468C22semidirect
113. #19098467C22semidirect
114. #19098467C22semidirect
115. #19098467C22semidirect
116. #19098467C22semidirect
117. #19098462C22semidirect
118. #19098461C22semidirect
119. #19098460C22semidirect
120. #19098458C22semidirect
121. #19098457C22semidirect
122. #19098457C22semidirect
123. #19098456C22semidirect
124. #19098456C22semidirect
125. #19098456C22semidirect
126. #19098455C22semidirect
127. #19098455C22semidirect
128. #19098455C22semidirect
129. #19098454C22semidirect
130. #19098454C22semidirect
131. #19098453C22semidirect
132. #19098453C22semidirect
133. #19098452C22semidirect
134. #19098451C22semidirect
135. #19098448C22semidirect
136. #19098447C22semidirect
137. #19098446C22semidirect
138. #19098446C22semidirect
139. #19098445C22semidirect
140. #19098445C22semidirect
141. #19098444C22semidirect
145. #19098438C22semidirect
152. #19098437C22semidirect
153. #19098435C22semidirect
156. #19098434C22semidirect
157. #19098426C22semidirect
162. #19098425C22semidirect
163. #19098425C22semidirect
175. C2×C22⋊Q8×C79C22semidirect
176. #397×C79C22semidirect
177. #397×C79C22semidirect
178. #396×C79C22semidirect
179. #395×C79C22semidirect
181. #393×C79C22semidirect
182. #391×C79C22semidirect
183. #391×C79C22semidirect
184. #388×C79C22semidirect
185. #388×C79C22semidirect
186. #387×C79C22semidirect
188. #381×C79C22semidirect
830. #2700D79semidirect
850. C79#36966semidirect
882. C2×C22⋊Q8C2×D79semidirect
904. #397C2×D79semidirect
905. #397C2×D79semidirect
913. #396C2×D79semidirect
921. #395C2×D79semidirect
937. #393C2×D79semidirect
944. #391C2×D79semidirect
945. #391C2×D79semidirect
964. #388C2×D79semidirect
965. #388C2×D79semidirect
973. #387C2×D79semidirect
997. #381C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991882
C2×#124×D792
#237717412
#237717352
#237700052
#237700022
#237700012
#237699982
#237699952
#237699942
#237699912
#237696882
#237696872
#237696842
#237696832
#237696792
#237696782
#237696752
#237696742
#237692102
#237692042
#237685562
#237685522
#237676792
#237676772
#237670432
#237670392
#237667262
#237667222
#237659942
C79×#27002
#3696679