Finite Group Databasebeta

← #34501866

Subgroups — #34501866

Order 20224.

2518 conjugacy classes of subgroups.

The subgroup lattice has 1734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099147C211yesmaximal, characteristic, complemented
2C2×#123×D79C211yesmaximal, characteristic, complemented
3#23771695C211yesmaximal, characteristic, complemented
4#23771691C211yesmaximal, characteristic, complemented
5#23770256C211yesmaximal, characteristic, complemented
6#23770254C211yesmaximal, characteristic, complemented
7#23770253C211yesmaximal, characteristic, complemented
8#23770251C211yesmaximal, characteristic, complemented
9#23770137C211yesmaximal, characteristic, complemented
10#23770136C211yesmaximal, characteristic, complemented
11#23770135C211yesmaximal, characteristic, complemented
12#23770087C211yesmaximal, characteristic, complemented
13#23770086C211yesmaximal, characteristic, complemented
14#23770083C211yesmaximal, characteristic, complemented
15#23770082C211yesmaximal, characteristic, complemented
16#23770049C211yesmaximal, characteristic, complemented
17#23770048C211yesmaximal, characteristic, complemented
18#23770045C211yesmaximal, characteristic, complemented
19#23770044C211yesmaximal, characteristic, complemented
20#23769113C211yesmaximal, characteristic, complemented
21#23769111C211yesmaximal, characteristic, complemented
22#23768554C211yesmaximal, characteristic, complemented
23#23768329C211yesmaximal, characteristic, complemented
24#23768294C211yesmaximal, characteristic, complemented
25#23768285C211yesmaximal, characteristic, complemented
26#23767884C211yesmaximal, characteristic, complemented
27#23767866C211yesmaximal, characteristic, complemented
28#23767706C211yesmaximal, characteristic, complemented
29#23767701C211yesmaximal, characteristic, complemented
30#23765994C211yesmaximal, characteristic, complemented
31C79×#2710C211yesmaximal, characteristic, complemented
32C22×D4×D79C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34#19099147—28no—
35C2×#14579155C2211yescharacteristic, complemented
36C2×#14579154C2211yescharacteristic, complemented
37C2×#14579150C2211yescharacteristic, complemented
38C2×#14579146C2211yescharacteristic
39C2×#14579146C2211yescharacteristic
40C2×#14579146C2211yescharacteristic
41C2×#14579146C2211yescharacteristic
42C2×#14579146C2211yescharacteristic
43C2×#14579145C2211yescharacteristic
44C2×#14579145C2211yescharacteristic, complemented
45C2×#14579144C2211yescharacteristic
46C2×#14579143C2211yescharacteristic
47C2×#14579143C2211yescharacteristic
48C2×#14579143C2211yescharacteristic
49C2×#14579143C2211yescharacteristic
50C2×#14579143C2211yescharacteristic
51C2×#14579143C2211yescharacteristic, complemented
52C2×#14579142C2211yescharacteristic
53#123×D79—28no—
54C2×#14579137C2211yescharacteristic
55C2×#14579134C2211yescharacteristic
56C2×#14579134C2211yescharacteristic, complemented
57C2×#14579133C2211yescharacteristic, complemented
58C2×#14579131C2211yescharacteristic
59C2×#14579131C2211yescharacteristic
60C2×#14579129C2211yescharacteristic
61C2×#14579129C2211yescharacteristic
62C2×C4×D316C2211yescharacteristic
63C2×(C22⋊D79)⋊C4C2211yescharacteristic
64C2×C4⋊C4×D79C2211yescharacteristic
65C2×C4⋊C4×D79C2211yescharacteristic
66C2×C22⋊C4×D79C2211yescharacteristic
67C2×C22⋊C4×D79C2211yescharacteristic
68C2×C22⋊C4×D79C2211yescharacteristic
69#19098504C2211yescharacteristic, complemented
70#19098504C2211yescharacteristic, complemented
71#19098504C2211yescharacteristic, complemented
72#19098504C2211yescharacteristic, complemented
73#19098500C2211yescharacteristic, complemented
74#19098499C2211yescharacteristic, complemented
75#19098499C2211yescharacteristic, complemented
76#19098498C2211yescharacteristic, complemented
77#19098498C2211yescharacteristic, complemented
78#19098496C2211yescharacteristic, complemented
79#19098496C2211yescharacteristic, complemented
80#19098495C2211yescharacteristic, complemented
81#19098494C2211yescharacteristic, complemented
82#19098492C2211yescharacteristic, complemented
83#19098492C2211yescharacteristic, complemented
84#19098490C2211yescharacteristic, complemented
85#19098488C2211yescharacteristic, complemented
86#19098488C2211yescharacteristic, complemented
87#19098486C2211yescharacteristic, complemented
88#19098486C2211yescharacteristic, complemented
89#19098485C2211yescharacteristic, complemented
90#19098485C2211yescharacteristic, complemented
91#19098481C2211yescharacteristic
92#19098481C2211yescharacteristic, complemented
93#19098480C2211yescharacteristic
94#19098479C2211yescharacteristic
95#19098479C2211yescharacteristic
96#19098479C2211yescharacteristic, complemented
97#19098478C2211yescharacteristic
98#19098478C2211yescharacteristic
99#19098478C2211yescharacteristic, complemented
100#19098477C2211yescharacteristic
101#19098474C2211yescharacteristic, complemented
102#19098473C2211yescharacteristic
103#19098472C2211yescharacteristic
104#19098472C2211yescharacteristic
105#19098472C2211yescharacteristic
106#19098472C2211yescharacteristic, complemented
107#19098471C2211yescharacteristic
108#19098471C2211yescharacteristic
109#19098471C2211yescharacteristic
110#19098471C2211yescharacteristic, complemented
111#19098470C2211yescharacteristic, complemented
112#19098465C2211yescharacteristic, complemented
113#19098463C2211yescharacteristic, complemented
114#19098463C2211yescharacteristic, complemented
115#19098463C2211yescharacteristic, complemented
116#19098463C2211yescharacteristic, complemented
117#19098461C2211yescharacteristic, complemented
118#19098460C2211yescharacteristic, complemented
119#19098460C2211yescharacteristic, complemented
120#19098457C2211yescharacteristic, complemented
121#19098456C2211yescharacteristic, complemented
122#19098456C2211yescharacteristic, complemented
123#19098455C2211yescharacteristic, complemented
124#19098454C2211yescharacteristic, complemented
125#19098454C2211yescharacteristic, complemented
126#19098453C2211yescharacteristic, complemented
127#19098452C2211yescharacteristic, complemented
128#19098452C2211yescharacteristic, complemented
129#19098452C2211yescharacteristic, complemented
130#19098452C2211yescharacteristic, complemented
131#19098451C2211yescharacteristic, complemented
132#19098451C2211yescharacteristic, complemented
133#19098451C2211yescharacteristic, complemented
134#19098443C2211yescharacteristic, complemented
135#19098443C2211yescharacteristic, complemented
136#19098442C2211yescharacteristic, complemented
137#19098441C2211yescharacteristic, complemented
138#19098441C2211yescharacteristic, complemented
139#19098441C2211yescharacteristic, complemented
140#19098440C2211yescharacteristic, complemented
141#19098440C2211yescharacteristic, complemented
142#19098439C2211yescharacteristic, complemented
143#19098439C2211yescharacteristic, complemented
144#19098439C2211yescharacteristic, complemented
145#19098438C2211yescharacteristic, complemented
146#19098437C2211yescharacteristic, complemented
147#19098437C2211yescharacteristic, complemented
148#19098436C2211yescharacteristic, complemented
149#19098435C2211yescharacteristic, complemented
150#19098434C2211yescharacteristic, complemented
151#19098434C2211yescharacteristic, complemented
152#19098432C2211yescharacteristic, complemented
153#19098432C2211yescharacteristic, complemented
154#19098429C2211yescharacteristic, complemented
155#19098428C2211yescharacteristic, complemented
156#19098425C2211yescharacteristic
157#19098425C2211yescharacteristic
158#19098425C2211yescharacteristic
159#19098425C2211yescharacteristic
160#19098425C2211yescharacteristic
161#19098425C2211yescharacteristic
162#19098422C2211yescharacteristic
163#19098421C2211yescharacteristic, complemented
164#19098421C2211yescharacteristic, complemented
165#19098420C2211yescharacteristic
166#19098420C2211yescharacteristic, complemented
167#19098420C2211yescharacteristic, complemented
168#19098418C2211yescharacteristic
169#19098418C2211yescharacteristic
170#19098418C2211yescharacteristic
171#19098418C2211yescharacteristic
172C4×(C2×D79)⋊C4C2211yescharacteristic
173#19098410C2211yescharacteristic
174C2×#124×C79C2211yescharacteristic, complemented
175C2×#123×C79C2211yescharacteristic
176#399×C79C2211yescharacteristic, complemented
177#397×C79C2211yescharacteristic, complemented
178#394×C79C2211yescharacteristic
179#394×C79C2211yescharacteristic, complemented
180#393×C79C2211yescharacteristic, complemented
181#392×C79C2211yescharacteristic
182#391×C79C2211yescharacteristic, complemented
183#390×C79C2211yescharacteristic, complemented
184#389×C79C2211yescharacteristic, complemented
185#388×C79C2211yescharacteristic, complemented
186#388×C79C2211yescharacteristic, complemented
187#386×C79C2211yescharacteristic, complemented
188#385×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C2×D4×D79—24no—
204C2×D4×D79—42no—
205C2×D4×D79—42no—
206C23×Dic79C2311yescharacteristic
207C23×Dic79C2311yescharacteristic
208C22×C4×D79—24no—
209C22×C4×D79—42no—
210C22×C4×D79—42no—
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218C22×C4×D79C2311yescharacteristic
219#14579155—24no—
220#14579154—24no—
221#14579150—24no—
222#14579146—24no—
223#14579146—24no—
224#14579146—42no—
225#14579146—42no—
226#14579146—42no—
227#14579145—24no—
228#14579145—24no—
229#14579144—24no—
230#14579143—24no—
231#14579143—24no—
232#14579143—24no—
233#14579143—42no—
234#14579143—42no—
235#14579143—42no—
236#14579142—24no—
237#14579137—24no—
238#14579134—24no—
239#14579134—24no—
240#14579133—24no—
241#14579131—24no—
242#14579131—42no—
243#14579129—24no—
244#14579129—42no—
245C4×D316—24no—
246(C22⋊D79)⋊C4—24no—
247C2×C4⋊Dic79C2311yescharacteristic
248C2×C4⋊Dic79C2311yescharacteristic
249C2×C4⋊Dic79C2311yescharacteristic
250C2×C4⋊Dic79C2311yescharacteristic
251C2×C4⋊Dic79C2311yescharacteristic
252C2×C4⋊Dic79C2311yescharacteristic
253C2×C4⋊Dic79C2311yescharacteristic
254C2×C4⋊Dic79C2311yescharacteristic
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
268C2×Dic79⋊C4C2311yescharacteristic
269C2×Dic79⋊C4C2311yescharacteristic
270C2×Dic79⋊C4C2311yescharacteristic
271C4⋊C4×D79—24no—
272C4⋊C4×D79—24no—
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×(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
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
317C22⋊C4×D79—24no—
318C22⋊C4×D79—24no—
319C22⋊C4×D79D418yescomplemented
320C2×C4×Dic79C2311yescharacteristic
321C2×C4×Dic79C2311yescharacteristic
322C2×C4×Dic79C2311yescharacteristic
323C2×C4×Dic79C2311yescharacteristic
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×D4×C79C2311yescharacteristic
350C22×D4×C79C2311yescharacteristic
351C22×D4×C79C2311yescharacteristic
352C23×C4×C79C2311yescharacteristic
353#124×C79—24no—
354#123×C79—24no—
355C2×C4⋊C4×C79C2311yescharacteristic
356C2×C4⋊C4×C79C2311yescharacteristic
357C2×C4⋊C4×C79C2311yescharacteristic
358C2×C4⋊C4×C79C2311yescharacteristic
359C2×C4⋊C4×C79C2311yescharacteristic
360C2×C4⋊C4×C79C2311yescharacteristic
361C2×C22⋊C4×C79C2311yescharacteristic
362C2×C22⋊C4×C79C2311yescharacteristic
363C2×C22⋊C4×C79C2311yescharacteristic
364C2×C22⋊C4×C79C2311yescharacteristic
365C2×C22⋊C4×C79C2311yescharacteristic
366C2×C22⋊C4×C79C2311yescharacteristic
367C2×C22⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79C2311yescharacteristic
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C42×C79C2311yescharacteristic
376C2×C42×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
402C23×D79C2411yescharacteristic
403C2×D316—22no—
404C2×D316—22no—
405C2×D316—22no—
406C2×D316—22no—
407C2×D316—22no—
408C2×D316—41no—
409C2×D316—41no—
410C2×D316—41no—
411C2×D316—41no—
412C2×D316—41no—
413C2×D316—41no—
414C2×D316—41no—
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—22no—
422C2×C22⋊D79—22no—
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—
439D4×D79—416no—
440C22×Dic79—22no—
441C22×Dic79—22no—
442C22×Dic79—41no—
443C22×Dic79—41no—
444C22×Dic79—41no—
445C22×Dic79—41no—
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—22no—
467C2×C4×D79—22no—
468C2×C4×D79—22no—
469C2×C4×D79—22no—
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×D79—41no—
477C2×C4×D79—41no—
478C2×C4×D79—41no—
479C2×C4×D79—41no—
480C2×C4×D79—416no—
481C2×C4×D79C2×D414yes—
482C2×C4×D79C2×D414yes—
483C4⋊Dic79—22no—
484C4⋊Dic79—22no—
485C4⋊Dic79—22no—
486C4⋊Dic79—22no—
487C4⋊Dic79—41no—
488C4⋊Dic79—41no—
489C4⋊Dic79—41no—
490C4⋊Dic79—41no—
491Dic79⋊C4—22no—
492Dic79⋊C4—22no—
493Dic79⋊C4—22no—
494Dic79⋊C4—22no—
495Dic79⋊C4—22no—
496Dic79⋊C4—22no—
497Dic79⋊C4—22no—
498Dic79⋊C4—22no—
499Dic79⋊C4—41no—
500Dic79⋊C4—41no—
501Dic79⋊C4—41no—
502Dic79⋊C4—41no—
503Dic79⋊C4—41no—
504Dic79⋊C4—41no—
505Dic79⋊C4—41no—
506Dic79⋊C4—41no—
507C22⋊Dic79—22no—
508C22⋊Dic79—22no—
509C22⋊Dic79—22no—
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⋊Dic79C2×D414yes—
519(C2×D79)⋊C4—22no—
520(C2×D79)⋊C4—22no—
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—
543(C2×D79)⋊C4—41no—
544(C2×D79)⋊C4—41no—
545(C2×D79)⋊C4—41no—
546(C2×D79)⋊C4—41no—
547(C2×D79)⋊C4—41no—
548(C2×D79)⋊C4—41no—
549(C2×D79)⋊C4C2×D414yes—
550(C2×D79)⋊C4C2×D414yes—
551C4×Dic79—22no—
552C4×Dic79—41no—
553C4×Dic79—41no—
554C4×Dic79—41no—
555C24×C79C2411yescharacteristic
556C24×C79C2411yescharacteristic
557C24×C79C2411yescharacteristic
558C2×Q8×C79—22no—
559C2×Q8×C79—41no—
560C2×Q8×C79—41no—
561C2×D4×C79—22no—
562C2×D4×C79—22no—
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—
570C22×C4×C79—22no—
571C22×C4×C79—41no—
572C22×C4×C79—41no—
573C22×C4×C79C2411yescharacteristic
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×C79—41no—
590C4⋊C4×C79—41no—
591C22⋊C4×C79—22no—
592C22⋊C4×C79—22no—
593C22⋊C4×C79—22no—
594C22⋊C4×C79—22no—
595C22⋊C4×C79—22no—
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×C79C2×D414yes—
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×C79C22×D412yes—
628C23×C79C2511yescharacteristic
629C22×D79—21no—
630C22×D79—21no—
631C22×D79—21no—
632C22×D79—21no—
633C22×D79—21no—
634C22×D79—21no—
635C22×D79—21no—
636C22×D79—21no—
637C22×D79—21no—
638C22×D79—21no—
639C22×D79—28no—
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—44no—
658C22×D79—44no—
659C22×D79—44no—
660C22×D79—44no—
661C22×D79—44no—
662C22×D79—44no—
663C22×D79—82no—
664C22×D79—82no—
665C22×D79—82no—
666C22×D79—82no—
667C22×D79C22×D412yes—
668C22×D79C22×D412yes—
669C22×D79H(5,𝔽2)12yes—
670C22×D79H(5,𝔽2)12yes—
671Q8×C79—82no—
672D4×C79—44no—
673D4×C79—82no—
674D4×C79—82no—
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—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—44no—
710C2×C4×C79C22×D412yes—
711C2×C4×C79C22×D412yes—
712C22⋊D79—44no—
713C22⋊D79—44no—
714C22⋊D79—44no—
715C22⋊D79—82no—
716C22⋊D79—82no—
717C22⋊D79—82no—
718C22⋊D79—82no—
719C22⋊D79—82no—
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—21no—
751C2×Dic79—21no—
752C2×Dic79—21no—
753C2×Dic79—21no—
754C2×Dic79—44no—
755C2×Dic79—82no—
756C2×Dic79C22×D412yes—
757C2×Dic79C22×D412yes—
758D316—44no—
759D316—44no—
760D316—82no—
761D316—82no—
762C4×D79—44no—
763C4×D79—44no—
764C4×D79—44no—
765C4×D79—44no—
766C4×D79—44no—
767C4×D79—44no—
768C4×D79—44no—
769C4×D79—82no—
770C22×C79—22no—
771C22×C79—22no—
772C22×C79—22no—
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×C79C23×D411yescharacteristic
792C22×C79C2×H(5,𝔽2)11yescharacteristic
793C22×C79C2×H(5,𝔽2)11yescharacteristic
794C22×C79#58511yescharacteristic
795C22×C79#58511yescharacteristic
796C22×C79#58511yescharacteristic
797C22×C79#58511yescharacteristic
798C2×D79—22no—
799C2×D79—22no—
800C2×D79—22no—
801C2×D79—22no—
802C2×D79—22no—
803C2×D79—22no—
804C2×D79—22no—
805C2×D79—22no—
806C2×D79—22no—
807C2×D79—416no—
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—41no—
822C2×D79—41no—
823C2×D79—41no—
824C2×D79—41no—
825C2×D79—41no—
826C2×D79—88no—
827C2×D79#53514yes—
828C4×C79—22no—
829C4×C79—22no—
830C4×C79—41no—
831C4×C79—41no—
832C4×C79—41no—
833C4×C79—41no—
834C4×C79—41no—
835C4×C79—41no—
836C4×C79—41no—
837C4×C79—41no—
838C4×C79—41no—
839C4×C79—41no—
840Dic79—22no—
841Dic79—22no—
842Dic79—41no—
843Dic79—41no—
844Dic79—41no—
845Dic79—41no—
846Dic79—41no—
847Dic79—41no—
848Dic79—41no—
849Dic79—41no—
850Dic79—41no—
851Dic79—41no—
852#36956—791nomaximal, Sylow
853C2×C79—42no—
854C2×C79—81no—
855C2×C79—81no—
856C2×C79C2×#53511yescharacteristic
857C2×C79#348511yescharacteristic
858C2×C79#348511yescharacteristic
859C2×C79#353311yescharacteristic
860C2×C79#353311yescharacteristic
861C2×C79#353311yescharacteristic
862C2×C79#353311yescharacteristic
863D79—24no—
864D79—42no—
865D79—81no—
866D79—81no—
867C2×#538—791no—
868C22×#123—791no—
869#2849—791no—
870#2849—791no—
871#2718—791no—
872#2718—791no—
873#2718—791no—
874#2718—791no—
875#2710—791no—
876#2710—791no—
877#2710—791no—
878#2710D7911yescharacteristic, complemented
879#2706—791no—
880#2706—791no—
881#2706—791no—
882#2706—791no—
883#2703—791no—
884#2703—791no—
885#2703—791no—
886#2703—791no—
887#2613—791no—
888#2613—791no—
889#2561—791no—
890#2539—791no—
891#2534—791no—
892#2534—791no—
893#2503—791no—
894#2501—791no—
895#2486—791no—
896#2486—791no—
897#2312—791no—
898C79#3695611yescharacteristic, complemented, Sylow
899C23×D4—791no—
900C24×C4—791no—
901#538—1588no—
902C2×#126—791no—
903C2×#126—791no—
904C2×#124—791no—
905C2×#124C2×D7911yescharacteristic, complemented
906C2×#123—791no—
907C2×#123—791no—
908C2×#123—791no—
909C2×#123—791no—
910C2×#123—791no—
911C2×#123—791no—
912C2×#123—791no—
913C2×#123—791no—
914C2×#123—791no—
915C2×#123—791no—
916C2×#123—791no—
917C2×#123—791no—
918C2×#123—791no—
919C2×#123—791no—
920C2×#123—791no—
921C2×#123—1588no—
922C2×#123C2×D7911yescharacteristic
923C2×C22⋊Q8—791no—
924C2×#121—791no—
925C2×#121—791no—
926C2×#121—791no—
927C2×#120—791no—
928C2×#120—791no—
929C2×#120—791no—
930C2×#120—791no—
931C2×C4×D4—791no—
932C2×C4×D4—791no—
933C22×C4⋊C4—791no—
934C22×C4⋊C4—791no—
935C22×C22⋊C4—791no—
936C22×C22⋊C4—791no—
937C22×C22⋊C4—791no—
938#400—791no—
939#400—791no—
940#400—791no—
941#400—791no—
942#399—791no—
943#399—791no—
944#399—791no—
945#399—791no—
946#399—791no—
947#399C2×D7911yescharacteristic, complemented
948#398—791no—
949#398—791no—
950#398—791no—
951#398—791no—
952#397—791no—
953#397—791no—
954#397—791no—
955#397—791no—
956#397—791no—
957#397C2×D7911yescharacteristic, complemented
958#396—791no—
959#396—791no—
960#396—791no—
961#396—791no—
962#394—791no—
963#394—791no—
964#394—791no—
965#394—791no—
966#394—791no—
967#394—791no—
968#394—791no—
969#394—791no—
970#394—791no—
971#394—791no—
972#394C2×D7911yescharacteristic
973#394C2×D7911yescharacteristic, complemented
974#393—791no—
975#393C2×D7911yescharacteristic, complemented
976#392—791no—
977#392—791no—
978#392—791no—
979#392—791no—
980#392—791no—
981#392—791no—
982#392—791no—
983#392—791no—
984#392—791no—
985#392C2×D7911yescharacteristic
986#391—791no—
987#391C2×D7911yescharacteristic, complemented
988#390—791no—
989#390—791no—
990#390—791no—
991#390—791no—
992#390—791no—
993#390C2×D7911yescharacteristic, complemented
994#389—791no—
995#389—791no—
996#389—791no—
997#389C2×D7911yescharacteristic, complemented
998#388—791no—
999#388—791no—
1000#388—791no—
1001#388—791no—
1002#388—791no—
1003#388—791no—
1004#388—791no—
1005#388—791no—
1006#388—791no—
1007#388—791no—
1008#388—791no—
1009#388—791no—
1010#388—791no—
1011#388—791no—
1012#388C2×D7911yescharacteristic, complemented
1013#388C2×D7911yescharacteristic, complemented
1014#386—791no—
1015#386—791no—
1016#386—791no—
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#386C2×D7911yescharacteristic, complemented
1026#385—791no—
1027#385—791no—
1028#385—791no—
1029#385—791no—
1030#385—791no—
1031#385—791no—
1032#385—791no—
1033#385C2×D7911yescharacteristic, complemented
1034#384—791no—
1035#384—791no—
1036#382—791no—
1037#382—791no—
1038#381—791no—
1039#381—791no—
1040#381—791no—
1041#381—791no—
1042#381—791no—
1043#381—791no—
1044#380—791no—
1045#380—791no—
1046#380—791no—
1047#380—791no—
1048#380—791no—
1049#380—791no—
1050#379—791no—
1051#379—791no—
1052#379—791no—
1053#379—791no—
1054C4×C22⋊C4—791no—
1055C4×C22⋊C4—791no—
1056C25—791no—
1057C25—791no—
1058C22×Q8C22×D7911yescharacteristic
1059C22×D4—3162no—
1060C22×D4—3162no—
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×D4—791no—
1073C22×D4—1584no—
1074C22×D4C22×D7911yescharacteristic
1075C22×D4C22×D7911yescharacteristic
1076C22×D4C22×D7911yescharacteristic
1077C23×C4—3162no—
1078C23×C4—3162no—
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×C4—791no—
1088C23×C4—791no—
1089C23×C4—1584no—
1090C23×C4C22×D7911yescharacteristic
1091#126—1584no—
1092#126—1584no—
1093#124—24no—
1094#124—1584no—
1095#123—24no—
1096#123—3162no—
1097#123—3162no—
1098#123—3162no—
1099#123—3162no—
1100#123—3162no—
1101#123—3162no—
1102#123—1584no—
1103#123—1584no—
1104#123—1584no—
1105#123—1584no—
1106#123—1584no—
1107#123—1584no—
1108#123—1584no—
1109#123—1584no—
1110#123—1584no—
1111C22⋊Q8—1584no—
1112#121—1584no—
1113#121—1584no—
1114#121—1584no—
1115#120—3162no—
1116#120—3162no—
1117#120—1584no—
1118#120—1584no—
1119C4×D4—1584no—
1120C4×D4—1584no—
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—791no—
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—791no—
1141C2×C4⋊C4—791no—
1142C2×C4⋊C4—791no—
1143C2×C4⋊C4—791no—
1144C2×C4⋊C4—791no—
1145C2×C4⋊C4—1584no—
1146C2×C4⋊C4—1584no—
1147C2×C4⋊C4C22×D7911yescharacteristic
1148C2×C4⋊C4C22×D7911yescharacteristic
1149C2×C4⋊C4C22×D7911yescharacteristic
1150C2×C4⋊C4C22×D7911yescharacteristic
1151C2×C4⋊C4C22×D7911yescharacteristic
1152C2×C4⋊C4C22×D7911yescharacteristic
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—798no—
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—791no—
1197C2×C22⋊C4—791no—
1198C2×C22⋊C4—1584no—
1199C2×C22⋊C4—1584no—
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×C22⋊C4C22×D7911yescharacteristic
1207C2×C22⋊C4C22×D7911yescharacteristic
1208C2×C22⋊C4C22×D7911yescharacteristic
1209C2×C22⋊C4C22×D7911yescharacteristic
1210C2×C22⋊C4C22×D7911yescharacteristic
1211C2×C22⋊C4C22×D7911yescharacteristic
1212C2×C22⋊C4C22×D7911yescharacteristic
1213C2×C22⋊C4C22×D7911yescharacteristic
1214C2×C42—791no—
1215C2×C42—791no—
1216C2×C42—791no—
1217C2×C42—791no—
1218C2×C42C22×D7911yescharacteristic
1219C2×C42C22×D7911yescharacteristic
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#95—791no—
1242#95—791no—
1243#95—791no—
1244#95C22×D7911yescharacteristic
1245#95C22×D7911yescharacteristic
1246#95C22×D7911yescharacteristic
1247#95C22×D7911yescharacteristic
1248#95C22×D7911yescharacteristic
1249#95C22×D7911yescharacteristic
1250#95C22×D7911yescharacteristic
1251#95C22×D7911yescharacteristic
1252C24—3161no—
1253C24—3161no—
1254C24—3161no—
1255C24—3161no—
1256C24—3161no—
1257C24—3161no—
1258C24—3161no—
1259C24—3161no—
1260C24—794no—
1261C24—791no—
1262C24—791no—
1263C24—791no—
1264C24—791no—
1265C24—1582no—
1266C24—1582no—
1267C24—1582no—
1268C24—1582no—
1269C24—1582no—
1270C24C23×D7911yescharacteristic
1271C24C23×D7911yescharacteristic
1272C24C23×D7911yescharacteristic
1273C2×Q8—22no—
1274C2×Q8—41no—
1275C2×Q8—41no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—3161no—
1286C2×D4—3161no—
1287C2×D4—3161no—
1288C2×D4—3161no—
1289C2×D4—3161no—
1290C2×D4—3161no—
1291C2×D4—3161no—
1292C2×D4—31616no—
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—3161no—
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—
1322C22×C4—22no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—3161no—
1326C22×C4—3161no—
1327C22×C4—3161no—
1328C22×C4—3161no—
1329C22×C4—3161no—
1330C22×C4—3161no—
1331C22×C4—3161no—
1332C22×C4—3161no—
1333C22×C4—3161no—
1334C22×C4—3161no—
1335C22×C4—31616no—
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—791no—
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—1582no—
1355C22×C4—1582no—
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×C4—1582no—
1367C22×C4—1582no—
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
1377C22×C4C23×D7911yescharacteristic
1378C22×C4C23×D7911yescharacteristic
1379C22×C4C23×D7911yescharacteristic
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—41no—
1383C4⋊C4—41no—
1384C4⋊C4—41no—
1385C4⋊C4—41no—
1386C4⋊C4—3161no—
1387C4⋊C4—3161no—
1388C4⋊C4—3161no—
1389C4⋊C4—3161no—
1390C4⋊C4—3161no—
1391C4⋊C4—3161no—
1392C4⋊C4—3161no—
1393C4⋊C4—3161no—
1394C4⋊C4—3161no—
1395C4⋊C4—3161no—
1396C4⋊C4—3161no—
1397C4⋊C4—3161no—
1398C4⋊C4—1582no—
1399C4⋊C4—1582no—
1400C4⋊C4—1582no—
1401C4⋊C4—1582no—
1402C4⋊C4—1582no—
1403C4⋊C4—1582no—
1404C4⋊C4—1582no—
1405C4⋊C4—1582no—
1406C4⋊C4—1582no—
1407C4⋊C4—1582no—
1408C4⋊C4—1582no—
1409C4⋊C4—1582no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
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—3161no—
1443C22⋊C4—3161no—
1444C22⋊C4—3161no—
1445C22⋊C4—3161no—
1446C22⋊C4—3161no—
1447C22⋊C4—794no—
1448C22⋊C4—794no—
1449C22⋊C4—794no—
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—
1461C22⋊C4—1582no—
1462C22⋊C4—1582no—
1463C22⋊C4—1582no—
1464C22⋊C4—1582no—
1465C22⋊C4—1582no—
1466C22⋊C4—1582no—
1467C22⋊C4D4×D7914yes—
1468C42—22no—
1469C42—41no—
1470C42—3161no—
1471C42—3161no—
1472C42—3161no—
1473C42—1582no—
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—3164no—
1495C23—3164no—
1496C23—3164no—
1497C23—3164no—
1498C23—3164no—
1499C23—3164no—
1500C23—3164no—
1501C23—3164no—
1502C23—3164no—
1503C23—792no—
1504C23—792no—
1505C23—792no—
1506C23—792no—
1507C23—6322no—
1508C23—6322no—
1509C23—6322no—
1510C23—6322no—
1511C23—1588no—
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—
1525C23—1581no—
1526C23—1581no—
1527C23—1581no—
1528C23—1581no—
1529C23—1581no—
1530C23—1581no—
1531C23—1581no—
1532C23—1581no—
1533C23—1581no—
1534C23—1581no—
1535C23—1581no—
1536C23C2×D4×D7912yes—
1537C23C24×D7911yescharacteristic
1538Q8—82no—
1539D4—44no—
1540D4—82no—
1541D4—82no—
1542D4—3164no—
1543D4—3164no—
1544D4—3164no—
1545D4—3164no—
1546D4—3164no—
1547D4—6322no—
1548D4—6322no—
1549D4—6322no—
1550D4—6322no—
1551D4—6322no—
1552D4—6322no—
1553D4—6322no—
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—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—44no—
1589C2×C4—3164no—
1590C2×C4—3164no—
1591C2×C4—3164no—
1592C2×C4—3164no—
1593C2×C4—3164no—
1594C2×C4—3164no—
1595C2×C4—3164no—
1596C2×C4—3164no—
1597C2×C4—792no—
1598C2×C4—792no—
1599C2×C4—6322no—
1600C2×C4—6322no—
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×C4—1581no—
1626C2×C4—1581no—
1627C2×C4—1581no—
1628C2×C4—1581no—
1629C2×C4—1581no—
1630C2×C4—1581no—
1631C2×C4—1581no—
1632C2×C4—1581no—
1633C2×C4—1581no—
1634C2×C4—1581no—
1635C2×C4C2×D4×D7912yes—
1636C2×C4C2×D4×D7912yes—
1637C22—22no—
1638C22—22no—
1639C22—22no—
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—41no—
1657C22—41no—
1658C22—31616no—
1659C22—3161no—
1660C22—3161no—
1661C22—3161no—
1662C22—3161no—
1663C22—3161no—
1664C22—3161no—
1665C22—3161no—
1666C22—3161no—
1667C22—3161no—
1668C22—3161no—
1669C22—3161no—
1670C22—3161no—
1671C22—3161no—
1672C22—3161no—
1673C22—3161no—
1674C22—3161no—
1675C22—3161no—
1676C22—3161no—
1677C22—794no—
1678C22—6328no—
1679C22—1582no—
1680C22—1582no—
1681C22—1582no—
1682C22—1582no—
1683C22—1582no—
1684C22—1582no—
1685C22—1582no—
1686C22—1582no—
1687C22—1582no—
1688C22C22×D4×D7911yescharacteristic
1689C22H(5,𝔽2)×D7911yescharacteristic
1690C22H(5,𝔽2)×D7911yescharacteristic
1691C22#1909939811yescharacteristic
1692C22#1909939911yescharacteristic
1693C22#1909939911yescharacteristic
1694C22#1909940011yescharacteristic
1695C4—22no—
1696C4—22no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—3161no—
1708C4—3161no—
1709C4—3161no—
1710C4—3161no—
1711C4—3161no—
1712C4—3161no—
1713C4—3161no—
1714C4—3161no—
1715C4—3161no—
1716C4—3161no—
1717C4—1582no—
1718C4—1582no—
1719C2—42no—
1720C2—81no—
1721C2—81no—
1722C2—3162no—
1723C2—6321no—
1724C2—6321no—
1725C2—1584no—
1726C2#535×D7911yescharacteristic
1727C2#2377703711yescharacteristic
1728C2#2377703911yescharacteristic
1729C2#2377756211yescharacteristic
1730C2#2377756311yescharacteristic
1731C2#2377756711yescharacteristic
1732C2#2377757411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2710C2
hypercenter#2710D79
hypocenterC79#36956
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2710

Complements

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

NH ≅ G/Ntype
1. C2×#19099147C2semidirect
2. C2×#123×D79C2semidirect
3. #23771695C2semidirect
4. #23771691C2semidirect
5. #23770256C2semidirect
6. #23770254C2semidirect
7. #23770253C2semidirect
8. #23770251C2semidirect
9. #23770137C2semidirect
10. #23770136C2semidirect
11. #23770135C2semidirect
12. #23770087C2semidirect
13. #23770086C2semidirect
14. #23770083C2semidirect
15. #23770082C2semidirect
16. #23770049C2semidirect
17. #23770048C2semidirect
18. #23770045C2semidirect
19. #23770044C2semidirect
20. #23769113C2semidirect
21. #23769111C2semidirect
22. #23768554C2semidirect
23. #23768329C2semidirect
24. #23768294C2semidirect
25. #23768285C2semidirect
26. #23767884C2semidirect
27. #23767866C2semidirect
28. #23767706C2semidirect
29. #23767701C2semidirect
30. #23765994C2semidirect
31. C79×#2710C2semidirect
35. C2×#14579155C22semidirect
36. C2×#14579154C22semidirect
37. C2×#14579150C22semidirect
44. C2×#14579145C22semidirect
51. C2×#14579143C22semidirect
56. C2×#14579134C22semidirect
57. C2×#14579133C22semidirect
69. #19098504C22semidirect
70. #19098504C22semidirect
71. #19098504C22semidirect
72. #19098504C22semidirect
73. #19098500C22semidirect
74. #19098499C22semidirect
75. #19098499C22semidirect
76. #19098498C22semidirect
77. #19098498C22semidirect
78. #19098496C22semidirect
79. #19098496C22semidirect
80. #19098495C22semidirect
81. #19098494C22semidirect
82. #19098492C22semidirect
83. #19098492C22semidirect
84. #19098490C22semidirect
85. #19098488C22semidirect
86. #19098488C22semidirect
87. #19098486C22semidirect
88. #19098486C22semidirect
89. #19098485C22semidirect
90. #19098485C22semidirect
92. #19098481C22semidirect
96. #19098479C22semidirect
99. #19098478C22semidirect
101. #19098474C22semidirect
106. #19098472C22semidirect
110. #19098471C22semidirect
111. #19098470C22semidirect
112. #19098465C22semidirect
113. #19098463C22semidirect
114. #19098463C22semidirect
115. #19098463C22semidirect
116. #19098463C22semidirect
117. #19098461C22semidirect
118. #19098460C22semidirect
119. #19098460C22semidirect
120. #19098457C22semidirect
121. #19098456C22semidirect
122. #19098456C22semidirect
123. #19098455C22semidirect
124. #19098454C22semidirect
125. #19098454C22semidirect
126. #19098453C22semidirect
127. #19098452C22semidirect
128. #19098452C22semidirect
129. #19098452C22semidirect
130. #19098452C22semidirect
131. #19098451C22semidirect
132. #19098451C22semidirect
133. #19098451C22semidirect
134. #19098443C22semidirect
135. #19098443C22semidirect
136. #19098442C22semidirect
137. #19098441C22semidirect
138. #19098441C22semidirect
139. #19098441C22semidirect
140. #19098440C22semidirect
141. #19098440C22semidirect
142. #19098439C22semidirect
143. #19098439C22semidirect
144. #19098439C22semidirect
145. #19098438C22semidirect
146. #19098437C22semidirect
147. #19098437C22semidirect
148. #19098436C22semidirect
149. #19098435C22semidirect
150. #19098434C22semidirect
151. #19098434C22semidirect
152. #19098432C22semidirect
153. #19098432C22semidirect
154. #19098429C22semidirect
155. #19098428C22semidirect
163. #19098421C22semidirect
164. #19098421C22semidirect
166. #19098420C22semidirect
167. #19098420C22semidirect
174. C2×#124×C79C22semidirect
176. #399×C79C22semidirect
177. #397×C79C22semidirect
179. #394×C79C22semidirect
180. #393×C79C22semidirect
182. #391×C79C22semidirect
183. #390×C79C22semidirect
184. #389×C79C22semidirect
185. #388×C79C22semidirect
186. #388×C79C22semidirect
187. #386×C79C22semidirect
188. #385×C79C22semidirect
319. C22⋊C4×D79D4semidirect
878. #2710D79semidirect
898. C79#36956semidirect
905. C2×#124C2×D79semidirect
947. #399C2×D79semidirect
957. #397C2×D79semidirect
973. #394C2×D79semidirect
975. #393C2×D79semidirect
987. #391C2×D79semidirect
993. #390C2×D79semidirect
997. #389C2×D79semidirect
1012. #388C2×D79semidirect
1013. #388C2×D79semidirect
1025. #386C2×D79semidirect
1033. #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×#123×D792
#237716952
#237716912
#237702562
#237702542
#237702532
#237702512
#237701372
#237701362
#237701352
#237700872
#237700862
#237700832
#237700822
#237700492
#237700482
#237700452
#237700442
#237691132
#237691112
#237685542
#237683292
#237682942
#237682852
#237678842
#237678662
#237677062
#237677012
#237659942
C79×#27102
#3695679