Finite Group Databasebeta

← #34502012

Subgroups — #34502012

Order 20224.

2626 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099121C211yesmaximal, characteristic
2C2×#123×D79C211yesmaximal, characteristic, complemented
3#23771695C211yesmaximal, characteristic, complemented
4#23771691C211yesmaximal, characteristic, complemented
5#23770332C211yesmaximal, characteristic, complemented
6#23770331C211yesmaximal, characteristic, complemented
7#23770329C211yesmaximal, characteristic, complemented
8#23770327C211yesmaximal, characteristic, complemented
9#23770019C211yesmaximal, characteristic, complemented
10#23770017C211yesmaximal, characteristic, complemented
11#23770015C211yesmaximal, characteristic, complemented
12#23770013C211yesmaximal, characteristic, complemented
13#23770011C211yesmaximal, characteristic, complemented
14#23770009C211yesmaximal, characteristic, complemented
15#23770007C211yesmaximal, characteristic, complemented
16#23769966C211yesmaximal, characteristic, complemented
17#23769964C211yesmaximal, characteristic, complemented
18#23769960C211yesmaximal, characteristic, complemented
19#23769958C211yesmaximal, characteristic, complemented
20#23769174C211yesmaximal, characteristic, complemented
21#23769172C211yesmaximal, characteristic, complemented
22#23767680C211yesmaximal, characteristic, complemented
23#23767679C211yesmaximal, characteristic, complemented
24#23766806C211yesmaximal, characteristic, complemented
25#23766804C211yesmaximal, characteristic, complemented
26#23766802C211yesmaximal, characteristic, complemented
27#23766800C211yesmaximal, characteristic, complemented
28#23766722C211yesmaximal, characteristic, complemented
29#23766722C211yesmaximal, characteristic, complemented
30#23765979C211yesmaximal, characteristic, complemented
31C79×#2701C211yesmaximal, characteristic, complemented
32C22×D4×D79C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34C23×C4×D79C2211yescharacteristic, complemented
35#19099121—28no—
36C2×#14579146C2211yescharacteristic
37C2×#14579146C2211yescharacteristic
38C2×#14579146C2211yescharacteristic
39C2×#14579146C2211yescharacteristic
40C2×#14579146C2211yescharacteristic
41C2×#14579146C2211yescharacteristic
42C2×#14579145C2211yescharacteristic
43C2×#14579144C2211yescharacteristic
44C2×#14579143C2211yescharacteristic
45C2×#14579143C2211yescharacteristic
46C2×#14579143C2211yescharacteristic
47C2×#14579143C2211yescharacteristic
48C2×#14579143C2211yescharacteristic, complemented
49C2×#14579143C2211yescharacteristic, complemented
50C2×#14579142C2211yescharacteristic, complemented
51#123×D79—28no—
52C2×#14579135C2211yescharacteristic
53C2×#14579133C2211yescharacteristic
54C2×#14579133C2211yescharacteristic
55C2×#14579131C2211yescharacteristic
56C2×#14579131C2211yescharacteristic
57C2×#14579129C2211yescharacteristic
58C2×#14579129C2211yescharacteristic
59C2×#14579119C2211yescharacteristic, complemented
60C2×#14579118C2211yescharacteristic, complemented
61C2×C4⋊C4×D79C2211yescharacteristic, complemented
62C2×C4⋊C4×D79C2211yescharacteristic, complemented
63C22×(C2×D79)⋊C4C2211yescharacteristic
64C2×C22⋊C4×D79C2211yescharacteristic
65C2×C22⋊C4×D79C2211yescharacteristic
66C2×C22⋊C4×D79C2211yescharacteristic, complemented
67#19098497C2211yescharacteristic, complemented
68#19098497C2211yescharacteristic, complemented
69#19098496C2211yescharacteristic, complemented
70#19098496C2211yescharacteristic, complemented
71#19098495C2211yescharacteristic, complemented
72#19098494C2211yescharacteristic, complemented
73#19098493C2211yescharacteristic, complemented
74#19098492C2211yescharacteristic, complemented
75#19098492C2211yescharacteristic, complemented
76#19098492C2211yescharacteristic, complemented
77#19098492C2211yescharacteristic, complemented
78#19098492C2211yescharacteristic, complemented
79#19098492C2211yescharacteristic, complemented
80#19098491C2211yescharacteristic, complemented
81#19098491C2211yescharacteristic, complemented
82#19098490C2211yescharacteristic, complemented
83#19098490C2211yescharacteristic, complemented
84#19098490C2211yescharacteristic, complemented
85#19098489C2211yescharacteristic, complemented
86#19098489C2211yescharacteristic, complemented
87#19098489C2211yescharacteristic, complemented
88#19098488C2211yescharacteristic, complemented
89#19098487C2211yescharacteristic, complemented
90#19098486C2211yescharacteristic, complemented
91#19098486C2211yescharacteristic, complemented
92#19098486C2211yescharacteristic, complemented
93#19098485C2211yescharacteristic, complemented
94#19098485C2211yescharacteristic, complemented
95#19098485C2211yescharacteristic, complemented
96#19098481C2211yescharacteristic, complemented
97#19098480C2211yescharacteristic, complemented
98#19098479C2211yescharacteristic, complemented
99#19098479C2211yescharacteristic, complemented
100#19098479C2211yescharacteristic, complemented
101#19098479C2211yescharacteristic, complemented
102#19098478C2211yescharacteristic, complemented
103#19098478C2211yescharacteristic, complemented
104#19098478C2211yescharacteristic, complemented
105#19098478C2211yescharacteristic, complemented
106#19098477C2211yescharacteristic, complemented
107#19098477C2211yescharacteristic, complemented
108#19098477C2211yescharacteristic, complemented
109#19098466C2211yescharacteristic, complemented
110#19098465C2211yescharacteristic
111#19098464C2211yescharacteristic
112#19098463C2211yescharacteristic
113#19098463C2211yescharacteristic
114#19098463C2211yescharacteristic, complemented
115#19098463C2211yescharacteristic, complemented
116#19098462C2211yescharacteristic, complemented
117#19098461C2211yescharacteristic, complemented
118#19098460C2211yescharacteristic, complemented
119#19098460C2211yescharacteristic, complemented
120#19098459C2211yescharacteristic, complemented
121#19098458C2211yescharacteristic, complemented
122#19098458C2211yescharacteristic, complemented
123#19098457C2211yescharacteristic, complemented
124#19098456C2211yescharacteristic, complemented
125#19098455C2211yescharacteristic, complemented
126#19098454C2211yescharacteristic, complemented
127#19098453C2211yescharacteristic, complemented
128#19098452C2211yescharacteristic, complemented
129#19098451C2211yescharacteristic, complemented
130#19098443C2211yescharacteristic, complemented
131#19098442C2211yescharacteristic, complemented
132#19098441C2211yescharacteristic
133#19098441C2211yescharacteristic
134#19098441C2211yescharacteristic, complemented
135#19098441C2211yescharacteristic, complemented
136#19098440C2211yescharacteristic, complemented
137#19098439C2211yescharacteristic
138#19098439C2211yescharacteristic
139#19098439C2211yescharacteristic, complemented
140#19098439C2211yescharacteristic, complemented
141#19098438C2211yescharacteristic, complemented
142#19098438C2211yescharacteristic, complemented
143#19098437C2211yescharacteristic, complemented
144#19098437C2211yescharacteristic, complemented
145#19098437C2211yescharacteristic, complemented
146#19098437C2211yescharacteristic, complemented
147#19098437C2211yescharacteristic, complemented
148#19098437C2211yescharacteristic, complemented
149#19098436C2211yescharacteristic, complemented
150#19098436C2211yescharacteristic, complemented
151#19098435C2211yescharacteristic, complemented
152#19098435C2211yescharacteristic, complemented
153#19098434C2211yescharacteristic, complemented
154#19098434C2211yescharacteristic, complemented
155#19098434C2211yescharacteristic, complemented
156#19098434C2211yescharacteristic, complemented
157#19098434C2211yescharacteristic, complemented
158#19098434C2211yescharacteristic, complemented
159#19098426C2211yescharacteristic, complemented
160#19098425C2211yescharacteristic, complemented
161#19098425C2211yescharacteristic, complemented
162#19098425C2211yescharacteristic, complemented
163#19098425C2211yescharacteristic, complemented
164#19098424C2211yescharacteristic, complemented
165#19098424C2211yescharacteristic, complemented
166#19098418C2211yescharacteristic
167#19098418C2211yescharacteristic
168#19098418C2211yescharacteristic, complemented
169#19098418C2211yescharacteristic, complemented
170#19098418C2211yescharacteristic, complemented
171#19098418C2211yescharacteristic, complemented
172#19098418C2211yescharacteristic, complemented
173#19098418C2211yescharacteristic, complemented
174C2×#123×C79C2211yescharacteristic, complemented
175C2×#121×C79C2211yescharacteristic
176#398×C79C2211yescharacteristic, complemented
177#397×C79C2211yescharacteristic, complemented
178#396×C79C2211yescharacteristic, complemented
179#394×C79C2211yescharacteristic, complemented
180#394×C79C2211yescharacteristic, complemented
181#394×C79C2211yescharacteristic, complemented
182#390×C79C2211yescharacteristic, complemented
183#389×C79C2211yescharacteristic, complemented
184#388×C79C2211yescharacteristic, complemented
185#386×C79C2211yescharacteristic, complemented
186#385×C79C2211yescharacteristic, complemented
187#385×C79C2211yescharacteristic, complemented
188#381×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C24×D79C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C2×D4×D79—24no—
202C2×D4×D79—42no—
203C2×D4×D79—42no—
204C2×D4×D79—42no—
205C2×D4×D79—42no—
206C2×D4×D79D418yes—
207C23×Dic79C2311yescharacteristic
208C23×Dic79C2311yescharacteristic
209C22×C4×D79—24no—
210C22×C4×D79—42no—
211C22×C4×D79—42no—
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218C22×C4×D79C2311yescharacteristic
219C22×C4×D79C2311yescharacteristic
220#14579146—24no—
221#14579146—24no—
222#14579146—24no—
223#14579146—24no—
224#14579146—42no—
225#14579146—42no—
226#14579145—24no—
227#14579144—24no—
228#14579143—24no—
229#14579143—24no—
230#14579143—24no—
231#14579143—24no—
232#14579143—42no—
233#14579143—42no—
234#14579142—24no—
235#14579135—24no—
236#14579133—24no—
237#14579133—24no—
238#14579131—24no—
239#14579131—24no—
240#14579129—24no—
241#14579129—24no—
242#14579119—42no—
243#14579118—42no—
244C2×C4⋊Dic79C2311yescharacteristic
245C2×C4⋊Dic79C2311yescharacteristic
246C2×C4⋊Dic79C2311yescharacteristic
247C2×C4⋊Dic79C2311yescharacteristic
248C2×C4⋊Dic79C2311yescharacteristic
249C2×C4⋊Dic79C2311yescharacteristic
250C2×C4⋊Dic79C2311yescharacteristic
251C2×C4⋊Dic79C2311yescharacteristic
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×Dic79⋊C4C2311yescharacteristic
267C2×Dic79⋊C4C2311yescharacteristic
268C4⋊C4×D79—24no—
269C4⋊C4×D79—24no—
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×C22⋊Dic79C2311yescharacteristic
282C2×C22⋊Dic79C2311yescharacteristic
283C2×(C2×D79)⋊C4—24no—
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
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
318C22⋊C4×D79—24no—
319C22⋊C4×D79—24no—
320C22⋊C4×D79—24no—
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×D4×C79C2311yescharacteristic
349C22×D4×C79C2311yescharacteristic
350C22×D4×C79C2311yescharacteristic
351C23×C4×C79C2311yescharacteristic
352C23×C4×C79C2311yescharacteristic
353#123×C79—24no—
354#121×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×C4⋊C4×C79C2311yescharacteristic
362C2×C4⋊C4×C79C2311yescharacteristic
363C2×C22⋊C4×C79C2311yescharacteristic
364C2×C22⋊C4×C79C2311yescharacteristic
365C2×C22⋊C4×C79C2311yescharacteristic
366C2×C22⋊C4×C79C2311yescharacteristic
367C2×C22⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79C2311yescharacteristic
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×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×D79—41no—
399C23×D79—41no—
400C23×D79—41no—
401C23×D79—41no—
402C23×D79—41no—
403C23×D79—41no—
404C23×D79C2×D414yes—
405C23×D79C2×D414yes—
406C23×D79C2411yescharacteristic
407C23×D79C2411yescharacteristic
408C23×D79C2411yescharacteristic
409C23×D79C2411yescharacteristic
410C2×D316—22no—
411C2×D316—22no—
412C2×D316—22no—
413C2×D316—22no—
414C2×D316—41no—
415C2×D316—41no—
416C2×D316—41no—
417C2×D316—41no—
418C2×D316C2×D414yes—
419C2×C22⋊D79—22no—
420C2×C22⋊D79—22no—
421C2×C22⋊D79—22no—
422C2×C22⋊D79—22no—
423C2×C22⋊D79—22no—
424C2×C22⋊D79—22no—
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⋊D79C2×D414yes—
436C2×C22⋊D79C2×D414yes—
437D4×D79—416no—
438D4×D79—416no—
439C22×Dic79—22no—
440C22×Dic79—22no—
441C22×Dic79—41no—
442C22×Dic79—41no—
443C22×Dic79—41no—
444C22×Dic79—41no—
445C22×Dic79C2411yescharacteristic
446C22×Dic79C2411yescharacteristic
447C22×Dic79C2411yescharacteristic
448C22×Dic79C2411yescharacteristic
449C22×Dic79C2411yescharacteristic
450C22×Dic79C2411yescharacteristic
451C22×Dic79C2411yescharacteristic
452C22×Dic79C2411yescharacteristic
453C22×Dic79C2411yescharacteristic
454C22×Dic79C2411yescharacteristic
455C22×Dic79C2411yescharacteristic
456C22×Dic79C2411yescharacteristic
457C2×C4×D79—22no—
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—
482C4⋊Dic79—22no—
483C4⋊Dic79—22no—
484C4⋊Dic79—22no—
485C4⋊Dic79—41no—
486C4⋊Dic79—41no—
487C4⋊Dic79—41no—
488C4⋊Dic79—41no—
489C4⋊Dic79—41no—
490Dic79⋊C4—22no—
491Dic79⋊C4—22no—
492Dic79⋊C4—22no—
493Dic79⋊C4—22no—
494Dic79⋊C4—22no—
495Dic79⋊C4—22no—
496Dic79⋊C4—41no—
497Dic79⋊C4—41no—
498Dic79⋊C4—41no—
499Dic79⋊C4—41no—
500Dic79⋊C4—41no—
501Dic79⋊C4—41no—
502Dic79⋊C4—41no—
503Dic79⋊C4—41no—
504Dic79⋊C4—41no—
505Dic79⋊C4—41no—
506C22⋊Dic79—22no—
507C22⋊Dic79—22no—
508C22⋊Dic79—22no—
509C22⋊Dic79—22no—
510C22⋊Dic79—22no—
511C22⋊Dic79—41no—
512C22⋊Dic79—41no—
513C22⋊Dic79—41no—
514C22⋊Dic79—41no—
515C22⋊Dic79—41no—
516C22⋊Dic79—41no—
517C22⋊Dic79—41no—
518C22⋊Dic79—41no—
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—22no—
534(C2×D79)⋊C4—22no—
535(C2×D79)⋊C4—22no—
536(C2×D79)⋊C4—22no—
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)⋊C4—41no—
550(C2×D79)⋊C4—41no—
551(C2×D79)⋊C4—41no—
552(C2×D79)⋊C4—41no—
553C4×Dic79—41no—
554C4×Dic79—41no—
555C4×Dic79—41no—
556C24×C79C2411yescharacteristic
557C24×C79C2411yescharacteristic
558C24×C79C2411yescharacteristic
559C2×D4×C79—22no—
560C2×D4×C79—22no—
561C2×D4×C79—41no—
562C2×D4×C79—41no—
563C2×D4×C79—41no—
564C2×D4×C79—41no—
565C2×D4×C79—41no—
566C2×D4×C79—41no—
567C2×D4×C79C2×D414yes—
568C22×C4×C79—22no—
569C22×C4×C79—22no—
570C22×C4×C79—41no—
571C22×C4×C79—41no—
572C22×C4×C79—41no—
573C22×C4×C79—41no—
574C22×C4×C79C2411yescharacteristic
575C22×C4×C79C2411yescharacteristic
576C22×C4×C79C2411yescharacteristic
577C22×C4×C79C2411yescharacteristic
578C22×C4×C79C2411yescharacteristic
579C22×C4×C79C2411yescharacteristic
580C22×C4×C79C2411yescharacteristic
581C22×C4×C79C2411yescharacteristic
582C22×C4×C79C2411yescharacteristic
583C22×C4×C79C2411yescharacteristic
584C22×C4×C79C2411yescharacteristic
585C22×C4×C79C2411yescharacteristic
586C4⋊C4×C79—22no—
587C4⋊C4×C79—22no—
588C4⋊C4×C79—22no—
589C4⋊C4×C79—41no—
590C4⋊C4×C79—41no—
591C4⋊C4×C79—41no—
592C4⋊C4×C79—41no—
593C4⋊C4×C79—41no—
594C22⋊C4×C79—22no—
595C22⋊C4×C79—22no—
596C22⋊C4×C79—22no—
597C22⋊C4×C79—22no—
598C22⋊C4×C79—22no—
599C22⋊C4×C79—41no—
600C22⋊C4×C79—41no—
601C22⋊C4×C79—41no—
602C22⋊C4×C79—41no—
603C22⋊C4×C79—41no—
604C22⋊C4×C79—41no—
605C22⋊C4×C79—41no—
606C22⋊C4×C79—41no—
607C42×C79—41no—
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×C79C22×D412yes—
629C23×C79C2511yescharacteristic
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—21no—
640C22×D79—21no—
641C22×D79—21no—
642C22×D79—21no—
643C22×D79—21no—
644C22×D79—21no—
645C22×D79—21no—
646C22×D79—28no—
647C22×D79—28no—
648C22×D79—21no—
649C22×D79—21no—
650C22×D79—21no—
651C22×D79—21no—
652C22×D79—21no—
653C22×D79—21no—
654C22×D79—21no—
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—44no—
664C22×D79—82no—
665C22×D79—82no—
666C22×D79—82no—
667C22×D79—82no—
668C22×D79—82no—
669C22×D79—82no—
670C22×D79—82no—
671C22×D79—82no—
672C22×D79—82no—
673C22×D79—82no—
674C22×D79C22×D412yes—
675C22×D79C22×D412yes—
676C22×D79C22×D412yes—
677C22×D79H(5,𝔽2)12yes—
678C22×D79H(5,𝔽2)12yes—
679D4×C79—44no—
680D4×C79—44no—
681D4×C79—82no—
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—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—44no—
718C2×C4×C79—82no—
719C2×C4×C79C22×D412yes—
720C22⋊D79—44no—
721C22⋊D79—44no—
722C22⋊D79—44no—
723C22⋊D79—44no—
724C22⋊D79—82no—
725C22⋊D79—82no—
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—21no—
755C2×Dic79—21no—
756C2×Dic79—21no—
757C2×Dic79—21no—
758C2×Dic79—21no—
759C2×Dic79—21no—
760C2×Dic79—21no—
761C2×Dic79—44no—
762C2×Dic79—82no—
763C2×Dic79C22×D412yes—
764D316—44no—
765D316—44no—
766D316—82no—
767C4×D79—28no—
768C4×D79—44no—
769C4×D79—44no—
770C4×D79—44no—
771C4×D79—44no—
772C4×D79—44no—
773C4×D79—44no—
774C4×D79—44no—
775C22×C79—22no—
776C22×C79—22no—
777C22×C79—22no—
778C22×C79—22no—
779C22×C79—22no—
780C22×C79—22no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79—41no—
784C22×C79—41no—
785C22×C79—41no—
786C22×C79—41no—
787C22×C79—41no—
788C22×C79—41no—
789C22×C79—41no—
790C22×C79—41no—
791C22×C79—41no—
792C22×C79—41no—
793C22×C79—41no—
794C22×C79—41no—
795C22×C79—41no—
796C22×C79C23×D411yescharacteristic
797C22×C79C2×H(5,𝔽2)11yescharacteristic
798C22×C79C2×H(5,𝔽2)11yescharacteristic
799C22×C79#58511yescharacteristic
800C22×C79#58511yescharacteristic
801C22×C79#58511yescharacteristic
802C22×C79#58511yescharacteristic
803C2×D79—22no—
804C2×D79—22no—
805C2×D79—22no—
806C2×D79—22no—
807C2×D79—22no—
808C2×D79—22no—
809C2×D79—22no—
810C2×D79—22no—
811C2×D79—22no—
812C2×D79—22no—
813C2×D79—22no—
814C2×D79—22no—
815C2×D79—416no—
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—41no—
827C2×D79—41no—
828C2×D79—41no—
829C2×D79—41no—
830C2×D79—41no—
831C2×D79—88no—
832C2×D79—88no—
833C2×D79#53414yes—
834C4×C79—22no—
835C4×C79—41no—
836C4×C79—41no—
837C4×C79—41no—
838C4×C79—41no—
839C4×C79—41no—
840C4×C79—41no—
841C4×C79—41no—
842C4×C79—41no—
843C4×C79—41no—
844C4×C79—41no—
845C4×C79—41no—
846Dic79—22no—
847Dic79—41no—
848Dic79—41no—
849Dic79—41no—
850Dic79—41no—
851Dic79—41no—
852Dic79—41no—
853Dic79—41no—
854Dic79—41no—
855Dic79—41no—
856Dic79—41no—
857Dic79—41no—
858#36965—791nomaximal, Sylow
859C2×C79—42no—
860C2×C79—42no—
861C2×C79—81no—
862C2×C79C2×#53411yescharacteristic
863C2×C79#348511yescharacteristic
864C2×C79#348511yescharacteristic
865C2×C79#353311yescharacteristic
866C2×C79#353311yescharacteristic
867C2×C79#353311yescharacteristic
868C2×C79#353311yescharacteristic
869D79—24no—
870D79—42no—
871D79—42no—
872D79—81no—
873C2×#534—791no—
874C22×#123—791no—
875#2849—791no—
876#2849—791no—
877#2724—791no—
878#2724—791no—
879#2724—791no—
880#2724—791no—
881#2701—791no—
882#2701—791no—
883#2701—791no—
884#2701—791no—
885#2701—791no—
886#2701—791no—
887#2701—791no—
888#2701D7911yescharacteristic, complemented
889#2697—791no—
890#2697—791no—
891#2697—791no—
892#2697—791no—
893#2622—791no—
894#2622—791no—
895#2483—791no—
896#2483—791no—
897#2413—791no—
898#2413—791no—
899#2413—791no—
900#2413—791no—
901#2405—791no—
902#2405—791no—
903#2309—791no—
904C79#3696511yescharacteristic, complemented, Sylow
905C23×D4—791no—
906C23×D4—791no—
907C24×C4—791no—
908#534—1588no—
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—791no—
922C2×#123—791no—
923C2×#123—791no—
924C2×#123—1588no—
925C2×#123C2×D7911yescharacteristic, complemented
926C2×#121—791no—
927C2×#121—791no—
928C2×#121—791no—
929C2×#121C2×D7911yescharacteristic
930C2×#120—791no—
931C2×#120—791no—
932C2×#120—791no—
933C2×#120—791no—
934C2×#117—791no—
935C2×#117—791no—
936C22×C4⋊C4—791no—
937C22×C4⋊C4—791no—
938C22×C22⋊C4—791no—
939C22×C22⋊C4—791no—
940C22×C22⋊C4—791no—
941C22×C22⋊C4—791no—
942#398—791no—
943#398—791no—
944#398—791no—
945#398—791no—
946#398—791no—
947#398—791no—
948#398—791no—
949#398C2×D7911yescharacteristic, complemented
950#397—791no—
951#397—791no—
952#397—791no—
953#397—791no—
954#397—791no—
955#397—791no—
956#397—791no—
957#397—791no—
958#397—791no—
959#397—791no—
960#397—791no—
961#397—791no—
962#397—791no—
963#397—791no—
964#397—791no—
965#397C2×D7911yescharacteristic, complemented
966#396—791no—
967#396—791no—
968#396—791no—
969#396—791no—
970#396—791no—
971#396—791no—
972#396—791no—
973#396C2×D7911yescharacteristic, complemented
974#394—791no—
975#394—791no—
976#394—791no—
977#394—791no—
978#394—791no—
979#394—791no—
980#394—791no—
981#394—791no—
982#394—791no—
983#394—791no—
984#394—791no—
985#394—791no—
986#394—791no—
987#394C2×D7911yescharacteristic, complemented
988#394C2×D7911yescharacteristic, complemented
989#394C2×D7911yescharacteristic, complemented
990#390—791no—
991#390—791no—
992#390—791no—
993#390—791no—
994#390—791no—
995#390—791no—
996#390—791no—
997#390C2×D7911yescharacteristic, complemented
998#389—791no—
999#389—791no—
1000#389—791no—
1001#389—791no—
1002#389—791no—
1003#389—791no—
1004#389—791no—
1005#389C2×D7911yescharacteristic, complemented
1006#388—791no—
1007#388—791no—
1008#388—791no—
1009#388—791no—
1010#388—791no—
1011#388—791no—
1012#388—791no—
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#385—791no—
1034#385—791no—
1035#385—791no—
1036#385—791no—
1037#385—791no—
1038#385—791no—
1039#385—791no—
1040#385—791no—
1041#385—791no—
1042#385—791no—
1043#385—791no—
1044#385C2×D7911yescharacteristic, complemented
1045#385C2×D7911yescharacteristic, complemented
1046#381—791no—
1047#381—791no—
1048#381—791no—
1049#381—791no—
1050#381—791no—
1051#381—791no—
1052#381—791no—
1053#381C2×D7911yescharacteristic, complemented
1054#379—791no—
1055#379—791no—
1056#379—791no—
1057#379—791no—
1058#379—791no—
1059#379—791no—
1060#379—791no—
1061#379—791no—
1062C25—791no—
1063C25—791no—
1064C25—791no—
1065C22×D4—3162no—
1066C22×D4—3162no—
1067C22×D4—3162no—
1068C22×D4—3162no—
1069C22×D4—791no—
1070C22×D4—791no—
1071C22×D4—798no—
1072C22×D4—791no—
1073C22×D4—791no—
1074C22×D4—791no—
1075C22×D4—791no—
1076C22×D4—791no—
1077C22×D4—791no—
1078C22×D4—791no—
1079C22×D4—1584no—
1080C22×D4C22×D7911yescharacteristic
1081C22×D4C22×D7911yescharacteristic
1082C22×D4C22×D7911yescharacteristic
1083C23×C4—3162no—
1084C23×C4—3162no—
1085C23×C4—791no—
1086C23×C4—791no—
1087C23×C4—791no—
1088C23×C4—791no—
1089C23×C4—791no—
1090C23×C4—791no—
1091C23×C4—791no—
1092C23×C4—791no—
1093C23×C4—791no—
1094C23×C4—791no—
1095C23×C4—1584no—
1096C23×C4C22×D7911yescharacteristic
1097C23×C4C22×D7911yescharacteristic
1098#123—24no—
1099#123—3162no—
1100#123—3162no—
1101#123—3162no—
1102#123—3162no—
1103#123—1584no—
1104#123—1584no—
1105#123—1584no—
1106#123—1584no—
1107#123—1584no—
1108#123—1584no—
1109#123—1584no—
1110#123—1584no—
1111#123—1584no—
1112#123—1584no—
1113#123—1584no—
1114#121—24no—
1115#121—1584no—
1116#121—1584no—
1117#121—1584no—
1118#120—1584no—
1119#120—1584no—
1120#120—1584no—
1121#120—1584no—
1122#117—3162no—
1123#117—3162no—
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—791no—
1146C2×C4⋊C4—791no—
1147C2×C4⋊C4—791no—
1148C2×C4⋊C4—1584no—
1149C2×C4⋊C4—1584no—
1150C2×C4⋊C4C22×D7911yescharacteristic
1151C2×C4⋊C4C22×D7911yescharacteristic
1152C2×C4⋊C4C22×D7911yescharacteristic
1153C2×C4⋊C4C22×D7911yescharacteristic
1154C2×C4⋊C4C22×D7911yescharacteristic
1155C2×C4⋊C4C22×D7911yescharacteristic
1156C2×C4⋊C4C22×D7911yescharacteristic
1157C2×C4⋊C4C22×D7911yescharacteristic
1158C2×C22⋊C4—791no—
1159C2×C22⋊C4—791no—
1160C2×C22⋊C4—791no—
1161C2×C22⋊C4—791no—
1162C2×C22⋊C4—791no—
1163C2×C22⋊C4—791no—
1164C2×C22⋊C4—791no—
1165C2×C22⋊C4—791no—
1166C2×C22⋊C4—791no—
1167C2×C22⋊C4—791no—
1168C2×C22⋊C4—791no—
1169C2×C22⋊C4—791no—
1170C2×C22⋊C4—791no—
1171C2×C22⋊C4—791no—
1172C2×C22⋊C4—791no—
1173C2×C22⋊C4—791no—
1174C2×C22⋊C4—791no—
1175C2×C22⋊C4—791no—
1176C2×C22⋊C4—791no—
1177C2×C22⋊C4—791no—
1178C2×C22⋊C4—791no—
1179C2×C22⋊C4—791no—
1180C2×C22⋊C4—791no—
1181C2×C22⋊C4—791no—
1182C2×C22⋊C4—791no—
1183C2×C22⋊C4—791no—
1184C2×C22⋊C4—791no—
1185C2×C22⋊C4—791no—
1186C2×C22⋊C4—791no—
1187C2×C22⋊C4—791no—
1188C2×C22⋊C4—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—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—1584no—
1206C2×C22⋊C4—1584no—
1207C2×C22⋊C4—1584no—
1208C2×C22⋊C4—1584no—
1209C2×C22⋊C4C22×D7911yescharacteristic
1210C2×C22⋊C4C22×D7911yescharacteristic
1211C2×C22⋊C4C22×D7911yescharacteristic
1212C2×C22⋊C4C22×D7911yescharacteristic
1213C2×C22⋊C4C22×D7911yescharacteristic
1214C2×C22⋊C4C22×D7911yescharacteristic
1215C2×C22⋊C4C22×D7911yescharacteristic
1216C2×C22⋊C4C22×D7911yescharacteristic
1217C2×C22⋊C4C22×D7911yescharacteristic
1218C2×C22⋊C4C22×D7911yescharacteristic
1219C2×C22⋊C4C22×D7911yescharacteristic
1220C2×C22⋊C4C22×D7911yescharacteristic
1221C2×C22⋊C4C22×D7911yescharacteristic
1222C2×C42—791no—
1223C2×C42—791no—
1224C2×C42—791no—
1225C2×C42C22×D7911yescharacteristic
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#95—791no—
1245#95—791no—
1246#95—791no—
1247#95—791no—
1248#95—791no—
1249#95—791no—
1250#95C22×D7911yescharacteristic
1251#95C22×D7911yescharacteristic
1252#95C22×D7911yescharacteristic
1253#95C22×D7911yescharacteristic
1254#95C22×D7911yescharacteristic
1255#95C22×D7911yescharacteristic
1256#95C22×D7911yescharacteristic
1257#95C22×D7911yescharacteristic
1258C24—3161no—
1259C24—3161no—
1260C24—3161no—
1261C24—3161no—
1262C24—3161no—
1263C24—3161no—
1264C24—3161no—
1265C24—3161no—
1266C24—3161no—
1267C24—3161no—
1268C24—3161no—
1269C24—3161no—
1270C24—3161no—
1271C24—3161no—
1272C24—794no—
1273C24—794no—
1274C24—791no—
1275C24—791no—
1276C24—791no—
1277C24—791no—
1278C24—1582no—
1279C24—1582no—
1280C24—1582no—
1281C24—1582no—
1282C24—1582no—
1283C24C23×D7911yescharacteristic
1284C24C23×D7911yescharacteristic
1285C24C23×D7911yescharacteristic
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—3161no—
1295C2×D4—3161no—
1296C2×D4—3161no—
1297C2×D4—3161no—
1298C2×D4—31616no—
1299C2×D4—31616no—
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—3161no—
1310C2×D4—794no—
1311C2×D4—794no—
1312C2×D4—794no—
1313C2×D4—1582no—
1314C2×D4—1582no—
1315C2×D4—1582no—
1316C2×D4—1582no—
1317C2×D4—1582no—
1318C2×D4—1582no—
1319C2×D4—1582no—
1320C2×D4—1582no—
1321C2×D4—1582no—
1322C2×D4—1582no—
1323C2×D4D4×D7914yes—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—3161no—
1331C22×C4—3161no—
1332C22×C4—3161no—
1333C22×C4—3161no—
1334C22×C4—3161no—
1335C22×C4—3161no—
1336C22×C4—3161no—
1337C22×C4—3161no—
1338C22×C4—3161no—
1339C22×C4—3161no—
1340C22×C4—31616no—
1341C22×C4—3161no—
1342C22×C4—3161no—
1343C22×C4—3161no—
1344C22×C4—3161no—
1345C22×C4—791no—
1346C22×C4—794no—
1347C22×C4—791no—
1348C22×C4—791no—
1349C22×C4—791no—
1350C22×C4—791no—
1351C22×C4—791no—
1352C22×C4—791no—
1353C22×C4—791no—
1354C22×C4—791no—
1355C22×C4—791no—
1356C22×C4—791no—
1357C22×C4—791no—
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×C4—1582no—
1369C22×C4—1582no—
1370C22×C4—1582no—
1371C22×C4—1582no—
1372C22×C4—1582no—
1373C22×C4C23×D7911yescharacteristic
1374C22×C4C23×D7911yescharacteristic
1375C22×C4C23×D7911yescharacteristic
1376C22×C4C23×D7911yescharacteristic
1377C22×C4C23×D7911yescharacteristic
1378C22×C4C23×D7911yescharacteristic
1379C22×C4C23×D7911yescharacteristic
1380C22×C4C23×D7911yescharacteristic
1381C22×C4C23×D7911yescharacteristic
1382C22×C4C23×D7911yescharacteristic
1383C22×C4C23×D7911yescharacteristic
1384C22×C4C23×D7911yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—41no—
1389C4⋊C4—41no—
1390C4⋊C4—41no—
1391C4⋊C4—41no—
1392C4⋊C4—41no—
1393C4⋊C4—3161no—
1394C4⋊C4—3161no—
1395C4⋊C4—3161no—
1396C4⋊C4—3161no—
1397C4⋊C4—3161no—
1398C4⋊C4—3161no—
1399C4⋊C4—3161no—
1400C4⋊C4—3161no—
1401C4⋊C4—3161no—
1402C4⋊C4—3161no—
1403C4⋊C4—3161no—
1404C4⋊C4—3161no—
1405C4⋊C4—3161no—
1406C4⋊C4—3161no—
1407C4⋊C4—3161no—
1408C4⋊C4—1582no—
1409C4⋊C4—1582no—
1410C4⋊C4—1582no—
1411C4⋊C4—1582no—
1412C4⋊C4—1582no—
1413C4⋊C4—1582no—
1414C4⋊C4—1582no—
1415C4⋊C4—1582no—
1416C4⋊C4—1582no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
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—3161no—
1448C22⋊C4—3161no—
1449C22⋊C4—3161no—
1450C22⋊C4—3161no—
1451C22⋊C4—3161no—
1452C22⋊C4—3161no—
1453C22⋊C4—3161no—
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⋊C4—1582no—
1468C22⋊C4—1582no—
1469C22⋊C4—1582no—
1470C22⋊C4—1582no—
1471C22⋊C4—1582no—
1472C22⋊C4—1582no—
1473C22⋊C4—1582no—
1474C22⋊C4—1582no—
1475C22⋊C4—1582no—
1476C22⋊C4—1582no—
1477C42—41no—
1478C42—3161no—
1479C42—3161no—
1480C42—3161no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—3164no—
1501C23—3164no—
1502C23—3164no—
1503C23—3164no—
1504C23—3164no—
1505C23—3164no—
1506C23—3164no—
1507C23—3164no—
1508C23—3164no—
1509C23—792no—
1510C23—792no—
1511C23—792no—
1512C23—792no—
1513C23—792no—
1514C23—6322no—
1515C23—6322no—
1516C23—6322no—
1517C23—6322no—
1518C23—6322no—
1519C23—6322no—
1520C23—6322no—
1521C23—6322no—
1522C23—6322no—
1523C23—6322no—
1524C23—1588no—
1525C23—1588no—
1526C23—1581no—
1527C23—1581no—
1528C23—1581no—
1529C23—1581no—
1530C23—1581no—
1531C23—1581no—
1532C23—1581no—
1533C23—1581no—
1534C23—1581no—
1535C23—1581no—
1536C23—1581no—
1537C23—1581no—
1538C23—1581no—
1539C23—1581no—
1540C23—1581no—
1541C23—1581no—
1542C23—1581no—
1543C23—1581no—
1544C23—1581no—
1545C23—1581no—
1546C23—1581no—
1547C23—1581no—
1548C23—1581no—
1549C23C2×D4×D7912yes—
1550C23C2×D4×D7912yes—
1551C23C24×D7911yescharacteristic
1552D4—44no—
1553D4—44no—
1554D4—82no—
1555D4—3164no—
1556D4—3164no—
1557D4—3164no—
1558D4—3164no—
1559D4—3164no—
1560D4—3164no—
1561D4—6322no—
1562D4—6322no—
1563D4—6322no—
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—21no—
1589C2×C4—21no—
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—44no—
1600C2×C4—82no—
1601C2×C4—3164no—
1602C2×C4—3164no—
1603C2×C4—3164no—
1604C2×C4—3164no—
1605C2×C4—3164no—
1606C2×C4—3164no—
1607C2×C4—3164no—
1608C2×C4—3164no—
1609C2×C4—792no—
1610C2×C4—6322no—
1611C2×C4—1588no—
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×C4—1581no—
1636C2×C4—1581no—
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×C4C2×D4×D7912yes—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—31616no—
1670C22—3161no—
1671C22—3161no—
1672C22—3161no—
1673C22—3161no—
1674C22—3161no—
1675C22—3161no—
1676C22—3161no—
1677C22—3161no—
1678C22—3161no—
1679C22—3161no—
1680C22—3161no—
1681C22—3161no—
1682C22—3161no—
1683C22—3161no—
1684C22—3161no—
1685C22—794no—
1686C22—6328no—
1687C22—6328no—
1688C22—1582no—
1689C22—1582no—
1690C22—1582no—
1691C22—1582no—
1692C22—1582no—
1693C22—1582no—
1694C22—1582no—
1695C22—1582no—
1696C22—1582no—
1697C22—1582no—
1698C22—1582no—
1699C22—1582no—
1700C22C22×D4×D7911yescharacteristic
1701C22H(5,𝔽2)×D7911yescharacteristic
1702C22H(5,𝔽2)×D7911yescharacteristic
1703C22#1909939811yescharacteristic
1704C22#1909939911yescharacteristic
1705C22#1909939911yescharacteristic
1706C22#1909940011yescharacteristic
1707C4—22no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—3161no—
1720C4—3161no—
1721C4—3161no—
1722C4—3161no—
1723C4—3161no—
1724C4—3161no—
1725C4—3161no—
1726C4—3161no—
1727C4—3161no—
1728C4—3161no—
1729C4—3161no—
1730C4—1582no—
1731C2—42no—
1732C2—42no—
1733C2—81no—
1734C2—3162no—
1735C2—3162no—
1736C2—6321no—
1737C2—1584no—
1738C2#534×D7911yescharacteristic
1739C2#2377703711yescharacteristic
1740C2#2377703911yescharacteristic
1741C2#2377755811yescharacteristic
1742C2#2377756011yescharacteristic
1743C2#2377756211yescharacteristic
1744C2#2377756311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2701C2
prime radicalC2×#19099121C2
hypercenter#2701D79
hypocenterC79#36965
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2701

Complements

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

NH ≅ G/Ntype
2. C2×#123×D79C2semidirect
3. #23771695C2semidirect
4. #23771691C2semidirect
5. #23770332C2semidirect
6. #23770331C2semidirect
7. #23770329C2semidirect
8. #23770327C2semidirect
9. #23770019C2semidirect
10. #23770017C2semidirect
11. #23770015C2semidirect
12. #23770013C2semidirect
13. #23770011C2semidirect
14. #23770009C2semidirect
15. #23770007C2semidirect
16. #23769966C2semidirect
17. #23769964C2semidirect
18. #23769960C2semidirect
19. #23769958C2semidirect
20. #23769174C2semidirect
21. #23769172C2semidirect
22. #23767680C2semidirect
23. #23767679C2semidirect
24. #23766806C2semidirect
25. #23766804C2semidirect
26. #23766802C2semidirect
27. #23766800C2semidirect
28. #23766722C2semidirect
29. #23766722C2semidirect
30. #23765979C2semidirect
31. C79×#2701C2semidirect
34. C23×C4×D79C22semidirect
48. C2×#14579143C22semidirect
49. C2×#14579143C22semidirect
50. C2×#14579142C22semidirect
59. C2×#14579119C22semidirect
60. C2×#14579118C22semidirect
61. C2×C4⋊C4×D79C22semidirect
62. C2×C4⋊C4×D79C22semidirect
66. C2×C22⋊C4×D79C22semidirect
67. #19098497C22semidirect
68. #19098497C22semidirect
69. #19098496C22semidirect
70. #19098496C22semidirect
71. #19098495C22semidirect
72. #19098494C22semidirect
73. #19098493C22semidirect
74. #19098492C22semidirect
75. #19098492C22semidirect
76. #19098492C22semidirect
77. #19098492C22semidirect
78. #19098492C22semidirect
79. #19098492C22semidirect
80. #19098491C22semidirect
81. #19098491C22semidirect
82. #19098490C22semidirect
83. #19098490C22semidirect
84. #19098490C22semidirect
85. #19098489C22semidirect
86. #19098489C22semidirect
87. #19098489C22semidirect
88. #19098488C22semidirect
89. #19098487C22semidirect
90. #19098486C22semidirect
91. #19098486C22semidirect
92. #19098486C22semidirect
93. #19098485C22semidirect
94. #19098485C22semidirect
95. #19098485C22semidirect
96. #19098481C22semidirect
97. #19098480C22semidirect
98. #19098479C22semidirect
99. #19098479C22semidirect
100. #19098479C22semidirect
101. #19098479C22semidirect
102. #19098478C22semidirect
103. #19098478C22semidirect
104. #19098478C22semidirect
105. #19098478C22semidirect
106. #19098477C22semidirect
107. #19098477C22semidirect
108. #19098477C22semidirect
109. #19098466C22semidirect
114. #19098463C22semidirect
115. #19098463C22semidirect
116. #19098462C22semidirect
117. #19098461C22semidirect
118. #19098460C22semidirect
119. #19098460C22semidirect
120. #19098459C22semidirect
121. #19098458C22semidirect
122. #19098458C22semidirect
123. #19098457C22semidirect
124. #19098456C22semidirect
125. #19098455C22semidirect
126. #19098454C22semidirect
127. #19098453C22semidirect
128. #19098452C22semidirect
129. #19098451C22semidirect
130. #19098443C22semidirect
131. #19098442C22semidirect
134. #19098441C22semidirect
135. #19098441C22semidirect
136. #19098440C22semidirect
139. #19098439C22semidirect
140. #19098439C22semidirect
141. #19098438C22semidirect
142. #19098438C22semidirect
143. #19098437C22semidirect
144. #19098437C22semidirect
145. #19098437C22semidirect
146. #19098437C22semidirect
147. #19098437C22semidirect
148. #19098437C22semidirect
149. #19098436C22semidirect
150. #19098436C22semidirect
151. #19098435C22semidirect
152. #19098435C22semidirect
153. #19098434C22semidirect
154. #19098434C22semidirect
155. #19098434C22semidirect
156. #19098434C22semidirect
157. #19098434C22semidirect
158. #19098434C22semidirect
159. #19098426C22semidirect
160. #19098425C22semidirect
161. #19098425C22semidirect
162. #19098425C22semidirect
163. #19098425C22semidirect
164. #19098424C22semidirect
165. #19098424C22semidirect
168. #19098418C22semidirect
169. #19098418C22semidirect
170. #19098418C22semidirect
171. #19098418C22semidirect
172. #19098418C22semidirect
173. #19098418C22semidirect
174. C2×#123×C79C22semidirect
176. #398×C79C22semidirect
177. #397×C79C22semidirect
178. #396×C79C22semidirect
179. #394×C79C22semidirect
180. #394×C79C22semidirect
181. #394×C79C22semidirect
182. #390×C79C22semidirect
183. #389×C79C22semidirect
184. #388×C79C22semidirect
185. #386×C79C22semidirect
186. #385×C79C22semidirect
187. #385×C79C22semidirect
188. #381×C79C22semidirect
888. #2701D79semidirect
904. C79#36965semidirect
925. C2×#123C2×D79semidirect
949. #398C2×D79semidirect
965. #397C2×D79semidirect
973. #396C2×D79semidirect
987. #394C2×D79semidirect
988. #394C2×D79semidirect
989. #394C2×D79semidirect
997. #390C2×D79semidirect
1005. #389C2×D79semidirect
1013. #388C2×D79semidirect
1025. #386C2×D79semidirect
1044. #385C2×D79semidirect
1045. #385C2×D79semidirect
1053. #381C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991212
C2×#123×D792
#237716952
#237716912
#237703322
#237703312
#237703292
#237703272
#237700192
#237700172
#237700152
#237700132
#237700112
#237700092
#237700072
#237699662
#237699642
#237699602
#237699582
#237691742
#237691722
#237676802
#237676792
#237668062
#237668042
#237668022
#237668002
#237667222
#237659792
C79×#27012
#3696579