Finite Group Databasebeta

← #34458446

Subgroups — #34458446

Order 20224.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099090C211yesmaximal, characteristic, complemented
2C2×#19099069C211yesmaximal, characteristic, complemented
3#23768549C211yesmaximal, characteristic, complemented
4#23768534C211yesmaximal, characteristic, complemented
5#23768519C211yesmaximal, characteristic, complemented
6#23768504C211yesmaximal, characteristic, complemented
7#23768485C211yesmaximal, characteristic, complemented
8#23768470C211yesmaximal, characteristic, complemented
9#23768461C211yesmaximal, characteristic, complemented
10#23768446C211yesmaximal, characteristic, complemented
11#23768406C211yesmaximal, characteristic, complemented
12#23768362C211yesmaximal, characteristic, complemented
13#23768290C211yesmaximal, characteristic, complemented
14#23767730C211yesmaximal, characteristic, complemented
15#23767525C211yesmaximal, characteristic, complemented
16#23766947C211yesmaximal, characteristic, complemented
17#23766932C211yesmaximal, characteristic, complemented
18#23766669C211yesmaximal, characteristic, complemented
19#23766665C211yesmaximal, characteristic, complemented
20#23766635C211yesmaximal, characteristic, complemented
21#23766612C211yesmaximal, characteristic, complemented
22#23765947C211yesmaximal, characteristic, complemented
23#123×Dic79C211yesmaximal, characteristic, complemented
24#23765916C211yesmaximal, characteristic, complemented
25#121×Dic79C211yesmaximal, characteristic, complemented
26#120×Dic79C211yesmaximal, characteristic, complemented
27#23765887C211yesmaximal, characteristic, complemented
28#23765862C211yesmaximal, characteristic, complemented
29C4×(C22⋊D79)⋊C4C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic79C211yesmaximal, characteristic, complemented
31C79×#2539C211yesmaximal, characteristic, complemented
32C22×#11929623C2211yescharacteristic
33C24×Dic79C2211yescharacteristic
34#19099090—28no—
35C2×#14579156C2211yescharacteristic, complemented
36C2×#14579154C2211yescharacteristic, complemented
37C2×#14579151C2211yescharacteristic, complemented
38C2×#14579148C2211yescharacteristic
39C2×#14579147C2211yescharacteristic, complemented
40#19099069—28no—
41C2×#14579145C2211yescharacteristic
42C2×#14579144C2211yescharacteristic
43C2×#14579142C2211yescharacteristic
44C2×#14579138C2211yescharacteristic
45C2×#14579138C2211yescharacteristic
46C2×#14579138C2211yescharacteristic
47C2×#14579133C2211yescharacteristic
48C2×#14579133C2211yescharacteristic
49C2×#14579133C2211yescharacteristic
50C2×#14579132C2211yescharacteristic
51C2×#14579130C2211yescharacteristic
52C2×#14579126C2211yescharacteristic, complemented
53C2×D4×Dic79C2211yescharacteristic
54C2×D4×Dic79C2211yescharacteristic
55C2×D4×Dic79C2211yescharacteristic
56C2×D4×Dic79C2211yescharacteristic
57C2×D4×Dic79C2211yescharacteristic
58C2×D4×Dic79C2211yescharacteristic, complemented
59C2×C4×C22⋊D79C2211yescharacteristic
60C2×(C22⋊D79)⋊C4C2211yescharacteristic
61C2×(C22⋊D79)⋊C4C2211yescharacteristic
62C2×(C22⋊D79)⋊C4C2211yescharacteristic
63C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
64C2×#14579119C2211yescharacteristic, complemented
65C2×#14579117C2211yescharacteristic
66C2×#14579117C2211yescharacteristic, complemented
67C22×C22⋊Dic79C2211yescharacteristic
68C22×C4×Dic79C2211yescharacteristic
69C22×C4×Dic79C2211yescharacteristic
70C2×C42×D79C2211yescharacteristic, complemented
71#19098501C2211yescharacteristic, complemented
72#19098501C2211yescharacteristic, complemented
73#19098495C2211yescharacteristic, complemented
74#19098495C2211yescharacteristic, complemented
75#19098494C2211yescharacteristic, complemented
76#19098494C2211yescharacteristic, complemented
77#19098489C2211yescharacteristic, complemented
78#19098489C2211yescharacteristic, complemented
79#19098488C2211yescharacteristic
80#19098488C2211yescharacteristic, complemented
81#19098486C2211yescharacteristic
82#19098486C2211yescharacteristic
83#19098486C2211yescharacteristic
84#19098486C2211yescharacteristic, complemented
85#19098484C2211yescharacteristic, complemented
86#19098484C2211yescharacteristic, complemented
87#19098479C2211yescharacteristic
88#19098479C2211yescharacteristic
89#19098479C2211yescharacteristic
90#19098479C2211yescharacteristic, complemented
91#19098477C2211yescharacteristic
92#19098477C2211yescharacteristic
93#19098477C2211yescharacteristic
94#19098477C2211yescharacteristic, complemented
95#19098475C2211yescharacteristic
96#19098475C2211yescharacteristic, complemented
97#19098471C2211yescharacteristic
98#19098471C2211yescharacteristic, complemented
99#19098469C2211yescharacteristic, complemented
100#19098469C2211yescharacteristic, complemented
101#19098468C2211yescharacteristic, complemented
102#19098466C2211yescharacteristic
103#19098466C2211yescharacteristic
104#19098466C2211yescharacteristic, complemented
105#19098462C2211yescharacteristic, complemented
106#19098461C2211yescharacteristic, complemented
107#19098461C2211yescharacteristic, complemented
108#19098459C2211yescharacteristic, complemented
109#19098457C2211yescharacteristic
110#19098457C2211yescharacteristic
111#19098457C2211yescharacteristic, complemented
112#19098457C2211yescharacteristic, complemented
113#19098456C2211yescharacteristic, complemented
114#19098456C2211yescharacteristic, complemented
115#19098456C2211yescharacteristic, complemented
116#19098456C2211yescharacteristic, complemented
117#19098451C2211yescharacteristic
118#19098451C2211yescharacteristic
119#19098451C2211yescharacteristic
120#19098451C2211yescharacteristic, complemented
121#19098451C2211yescharacteristic, complemented
122#19098451C2211yescharacteristic, complemented
123#19098449C2211yescharacteristic, complemented
124#19098449C2211yescharacteristic, complemented
125#19098443C2211yescharacteristic
126#19098443C2211yescharacteristic
127#19098443C2211yescharacteristic
128#19098443C2211yescharacteristic
129#19098443C2211yescharacteristic
130#19098443C2211yescharacteristic
131#19098439C2211yescharacteristic
132#19098439C2211yescharacteristic
133#19098439C2211yescharacteristic
134#19098439C2211yescharacteristic, complemented
135#19098439C2211yescharacteristic, complemented
136#19098439C2211yescharacteristic, complemented
137#19098438C2211yescharacteristic
138#19098438C2211yescharacteristic
139#19098438C2211yescharacteristic
140#19098438C2211yescharacteristic
141#19098428C2211yescharacteristic, complemented
142#19098426C2211yescharacteristic
143#19098423C2211yescharacteristic
144#19098420C2211yescharacteristic, complemented
145#19098419C2211yescharacteristic
146C4⋊C4×Dic79C2211yescharacteristic, complemented
147C4⋊C4×Dic79C2211yescharacteristic, complemented
148C4⋊C4×Dic79C2211yescharacteristic, complemented
149C4×Dic79⋊C4C2211yescharacteristic, complemented
150#19098414C2211yescharacteristic, complemented
151#19098414C2211yescharacteristic, complemented
152C22⋊C4×Dic79C2211yescharacteristic
153C22⋊C4×Dic79C2211yescharacteristic
154C22⋊C4×Dic79C2211yescharacteristic
155C22⋊C4×Dic79C2211yescharacteristic
156C22⋊C4×Dic79C2211yescharacteristic
157C22⋊C4×Dic79C2211yescharacteristic
158C22⋊C4×Dic79C2211yescharacteristic
159C22⋊C4×Dic79C2211yescharacteristic
160C22⋊C4×Dic79C2211yescharacteristic
161C22⋊C4×Dic79C2211yescharacteristic
162C22⋊C4×Dic79C2211yescharacteristic
163C22⋊C4×Dic79C2211yescharacteristic
164C22⋊C4×Dic79C2211yescharacteristic, complemented
165C22⋊C4×Dic79C2211yescharacteristic, complemented
166C22⋊C4×Dic79C2211yescharacteristic, complemented
167C22⋊C4×Dic79C2211yescharacteristic, complemented
168C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
169#19098410C2211yescharacteristic, complemented
170#19098410C2211yescharacteristic, complemented
171C2×C79⋊#95C2211yescharacteristic
172C2×C79⋊#95C2211yescharacteristic
173C42×Dic79C2211yescharacteristic, complemented
174C2×#123×C79C2211yescharacteristic
175C2×#123×C79C2211yescharacteristic
176C2×#121×C79C2211yescharacteristic
177C2×#120×C79C2211yescharacteristic
178C2×#120×C79C2211yescharacteristic
179C22×C22⋊C4×C79C2211yescharacteristic
180#399×C79C2211yescharacteristic
181#399×C79C2211yescharacteristic
182#392×C79C2211yescharacteristic
183#392×C79C2211yescharacteristic
184#390×C79C2211yescharacteristic
185#390×C79C2211yescharacteristic
186#390×C79C2211yescharacteristic
187#390×C79C2211yescharacteristic
188C4×C22⋊C4×C79C2211yescharacteristic
189C2×#11929623—24no—
190C2×#11929623—24no—
191C2×#11929623—42no—
192C22×Dic158C2311yescharacteristic
193C22×Dic158C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C23×Dic79—24no—
200C23×Dic79—24no—
201C23×Dic79—42no—
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C23×Dic79C2311yescharacteristic
207C23×Dic79C2311yescharacteristic
208C23×Dic79C2311yescharacteristic
209C23×Dic79C2311yescharacteristic
210C23×Dic79C2311yescharacteristic
211C23×Dic79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215#14579156—24no—
216#14579154—24no—
217#14579151—24no—
218#14579148—24no—
219#14579147—24no—
220#14579145—24no—
221#14579144—24no—
222#14579142—24no—
223#14579138—24no—
224#14579138—24no—
225#14579138—24no—
226#14579133—24no—
227#14579133—24no—
228#14579133—24no—
229#14579132—24no—
230#14579130—24no—
231#14579126—24no—
232D4×Dic79—24no—
233D4×Dic79—24no—
234D4×Dic79—24no—
235D4×Dic79—24no—
236D4×Dic79—42no—
237D4×Dic79—42no—
238C4×C22⋊D79—24no—
239(C22⋊D79)⋊C4—24no—
240(C22⋊D79)⋊C4—24no—
241(C22⋊D79)⋊C4—24no—
242(C22⋊D79)⋊C4D418yescomplemented
243#14579119—24no—
244#14579117—24no—
245#14579117—24no—
246C2×C4⋊Dic79C2311yescharacteristic
247C2×C4⋊Dic79C2311yescharacteristic
248C2×C4⋊Dic79C2311yescharacteristic
249C2×C4⋊Dic79C2311yescharacteristic
250C2×C4⋊Dic79C2311yescharacteristic
251C2×C4⋊Dic79C2311yescharacteristic
252C2×C4⋊Dic79C2311yescharacteristic
253C2×C4⋊Dic79C2311yescharacteristic
254C2×C4⋊Dic79C2311yescharacteristic
255C2×C4⋊Dic79C2311yescharacteristic
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×C22⋊Dic79—24no—
268C2×C22⋊Dic79C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×C22⋊Dic79C2311yescharacteristic
282C2×C22⋊Dic79C2311yescharacteristic
283C2×C22⋊Dic79C2311yescharacteristic
284C2×C22⋊Dic79C2311yescharacteristic
285C2×C22⋊Dic79C2311yescharacteristic
286C2×C22⋊Dic79C2311yescharacteristic
287C2×C22⋊Dic79C2311yescharacteristic
288C2×C22⋊Dic79C2311yescharacteristic
289C2×C22⋊Dic79C2311yescharacteristic
290C2×C22⋊Dic79C2311yescharacteristic
291C2×C22⋊Dic79C2311yescharacteristic
292C2×C22⋊Dic79C2311yescharacteristic
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×C4×Dic79—24no—
301C2×C4×Dic79—42no—
302C2×C4×Dic79C2311yescharacteristic
303C2×C4×Dic79C2311yescharacteristic
304C2×C4×Dic79C2311yescharacteristic
305C2×C4×Dic79C2311yescharacteristic
306C2×C4×Dic79C2311yescharacteristic
307C2×C4×Dic79C2311yescharacteristic
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
310C2×C4×Dic79C2311yescharacteristic
311C2×C4×Dic79C2311yescharacteristic
312C2×C4×Dic79C2311yescharacteristic
313C2×C4×Dic79C2311yescharacteristic
314C2×C4×Dic79C2311yescharacteristic
315C2×C4×Dic79C2311yescharacteristic
316C2×C4×Dic79C2311yescharacteristic
317C2×C4×Dic79C2311yescharacteristic
318C2×C4×Dic79C2311yescharacteristic
319C42×D79—42no—
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C79⋊#95C2311yescharacteristic
343C79⋊#95C2311yescharacteristic
344C79⋊#95C2311yescharacteristic
345C79⋊#95C2311yescharacteristic
346C79⋊#95C2311yescharacteristic
347C79⋊#95C2311yescharacteristic
348C79⋊#95C2311yescharacteristic
349C79⋊#95C2311yescharacteristic
350C25×C79C2311yescharacteristic
351C22×D4×C79C2311yescharacteristic
352C22×D4×C79C2311yescharacteristic
353C22×D4×C79C2311yescharacteristic
354C22×D4×C79C2311yescharacteristic
355C22×D4×C79C2311yescharacteristic
356C22×D4×C79C2311yescharacteristic
357C22×D4×C79C2311yescharacteristic
358C23×C4×C79C2311yescharacteristic
359C23×C4×C79C2311yescharacteristic
360#123×C79—24no—
361#123×C79—24no—
362#121×C79—24no—
363#120×C79—24no—
364#120×C79—24no—
365C2×C4⋊C4×C79C2311yescharacteristic
366C2×C4⋊C4×C79C2311yescharacteristic
367C2×C4⋊C4×C79C2311yescharacteristic
368C2×C4⋊C4×C79C2311yescharacteristic
369C2×C4⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79—24no—
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×C22⋊C4×C79C2311yescharacteristic
377C2×C22⋊C4×C79C2311yescharacteristic
378C2×C22⋊C4×C79C2311yescharacteristic
379C2×C22⋊C4×C79C2311yescharacteristic
380C2×C22⋊C4×C79C2311yescharacteristic
381C2×C22⋊C4×C79C2311yescharacteristic
382C2×C22⋊C4×C79C2311yescharacteristic
383C2×C22⋊C4×C79C2311yescharacteristic
384C2×C22⋊C4×C79C2311yescharacteristic
385C2×C22⋊C4×C79C2311yescharacteristic
386C2×C22⋊C4×C79C2311yescharacteristic
387C2×C42×C79C2311yescharacteristic
388C2×C42×C79C2311yescharacteristic
389#95×C79C2311yescharacteristic
390#95×C79C2311yescharacteristic
391C23×D79C2411yescharacteristic
392#11929623—416no—
393C2×Dic158—22no—
394C2×Dic158—22no—
395C2×Dic158—22no—
396C2×Dic158—22no—
397C2×Dic158—41no—
398C2×Dic158—41no—
399C2×C22⋊D79—22no—
400C2×C22⋊D79—22no—
401C2×C22⋊D79—22no—
402C2×C22⋊D79—22no—
403C2×C22⋊D79—22no—
404C2×C22⋊D79—22no—
405C2×C22⋊D79—22no—
406C2×C22⋊D79—22no—
407C2×C22⋊D79—22no—
408C2×C22⋊D79—22no—
409C2×C22⋊D79—41no—
410C2×C22⋊D79—41no—
411C2×C22⋊D79—41no—
412C2×C22⋊D79—41no—
413C2×C22⋊D79C2×D414yes—
414C22×Dic79—22no—
415C22×Dic79—22no—
416C22×Dic79—22no—
417C22×Dic79—22no—
418C22×Dic79—22no—
419C22×Dic79—22no—
420C22×Dic79—22no—
421C22×Dic79—22no—
422C22×Dic79—22no—
423C22×Dic79—22no—
424C22×Dic79—22no—
425C22×Dic79—22no—
426C22×Dic79—22no—
427C22×Dic79—22no—
428C22×Dic79—22no—
429C22×Dic79—22no—
430C22×Dic79—22no—
431C22×Dic79—22no—
432C22×Dic79—22no—
433C22×Dic79—22no—
434C22×Dic79—22no—
435C22×Dic79—22no—
436C22×Dic79—22no—
437C22×Dic79—41no—
438C22×Dic79—41no—
439C22×Dic79—41no—
440C22×Dic79—41no—
441C22×Dic79—41no—
442C22×Dic79—416no—
443C22×Dic79C2×D414yes—
444C22×Dic79#4114yes—
445C22×Dic79C2411yescharacteristic
446C22×Dic79C2411yescharacteristic
447C22×Dic79C2411yescharacteristic
448C22×Dic79C2411yescharacteristic
449C22×Dic79C2411yescharacteristic
450C22×Dic79C2411yescharacteristic
451C22×Dic79C2411yescharacteristic
452C22×Dic79C2411yescharacteristic
453C22×Dic79C2411yescharacteristic
454C22×Dic79C2411yescharacteristic
455C22×Dic79C2411yescharacteristic
456C22×Dic79C2411yescharacteristic
457C22×Dic79C2411yescharacteristic
458C22×Dic79C2411yescharacteristic
459C22×Dic79C2411yescharacteristic
460C2×C4×D79—22no—
461C2×C4×D79—22no—
462C2×C4×D79—22no—
463C2×C4×D79—22no—
464C2×C4×D79—22no—
465C2×C4×D79—41no—
466C2×C4×D79—41no—
467C2×C4×D79—41no—
468C2×C4×D79C2×D414yes—
469C4⋊Dic79—22no—
470C4⋊Dic79—22no—
471C4⋊Dic79—22no—
472C4⋊Dic79—22no—
473C4⋊Dic79—22no—
474C4⋊Dic79—22no—
475C4⋊Dic79—41no—
476C4⋊Dic79—41no—
477C4⋊Dic79—41no—
478C4⋊Dic79—41no—
479Dic79⋊C4—22no—
480Dic79⋊C4—22no—
481Dic79⋊C4—22no—
482Dic79⋊C4—22no—
483Dic79⋊C4—22no—
484Dic79⋊C4—22no—
485Dic79⋊C4—22no—
486Dic79⋊C4—22no—
487Dic79⋊C4—22no—
488Dic79⋊C4—22no—
489Dic79⋊C4C2×D414yes—
490C22⋊Dic79—22no—
491C22⋊Dic79—22no—
492C22⋊Dic79—22no—
493C22⋊Dic79—22no—
494C22⋊Dic79—22no—
495C22⋊Dic79—22no—
496C22⋊Dic79—22no—
497C22⋊Dic79—22no—
498C22⋊Dic79—22no—
499C22⋊Dic79—22no—
500C22⋊Dic79—22no—
501C22⋊Dic79—22no—
502C22⋊Dic79—22no—
503C22⋊Dic79—22no—
504C22⋊Dic79—22no—
505C22⋊Dic79—22no—
506C22⋊Dic79—22no—
507C22⋊Dic79—22no—
508C22⋊Dic79—41no—
509C22⋊Dic79—41no—
510C22⋊Dic79—41no—
511C22⋊Dic79—41no—
512C22⋊Dic79—41no—
513C22⋊Dic79—41no—
514C22⋊Dic79#4114yescomplemented
515(C2×D79)⋊C4—22no—
516(C2×D79)⋊C4—22no—
517(C2×D79)⋊C4—22no—
518(C2×D79)⋊C4—22no—
519(C2×D79)⋊C4—22no—
520(C2×D79)⋊C4—22no—
521(C2×D79)⋊C4C2×D414yes—
522C4×Dic79—22no—
523C4×Dic79—22no—
524C4×Dic79—22no—
525C4×Dic79—22no—
526C4×Dic79—22no—
527C4×Dic79—22no—
528C4×Dic79—22no—
529C4×Dic79—22no—
530C4×Dic79—22no—
531C4×Dic79—22no—
532C4×Dic79—22no—
533C4×Dic79—22no—
534C4×Dic79—22no—
535C4×Dic79—41no—
536C4×Dic79—41no—
537C4×Dic79—41no—
538C4×Dic79C2×D414yes—
539C24×C79—22no—
540C24×C79—22no—
541C24×C79—22no—
542C24×C79—22no—
543C24×C79—22no—
544C24×C79—41no—
545C24×C79—41no—
546C24×C79C2411yescharacteristic
547C24×C79C2411yescharacteristic
548C24×C79C2411yescharacteristic
549C24×C79C2411yescharacteristic
550C24×C79C2411yescharacteristic
551C2×D4×C79—22no—
552C2×D4×C79—22no—
553C2×D4×C79—22no—
554C2×D4×C79—22no—
555C2×D4×C79—22no—
556C2×D4×C79—22no—
557C2×D4×C79—22no—
558C2×D4×C79—22no—
559C2×D4×C79—22no—
560C2×D4×C79—22no—
561C2×D4×C79—22no—
562C2×D4×C79—22no—
563C2×D4×C79—22no—
564C2×D4×C79—22no—
565C2×D4×C79—22no—
566C2×D4×C79—41no—
567C2×D4×C79—41no—
568C2×D4×C79—41no—
569C2×D4×C79—41no—
570C2×D4×C79—41no—
571C2×D4×C79—41no—
572C22×C4×C79—22no—
573C22×C4×C79—22no—
574C22×C4×C79—22no—
575C22×C4×C79—41no—
576C22×C4×C79—41no—
577C22×C4×C79#4114yescomplemented
578C22×C4×C79C2411yescharacteristic
579C22×C4×C79C2411yescharacteristic
580C22×C4×C79C2411yescharacteristic
581C22×C4×C79C2411yescharacteristic
582C22×C4×C79C2411yescharacteristic
583C22×C4×C79C2411yescharacteristic
584C22×C4×C79C2411yescharacteristic
585C22×C4×C79C2411yescharacteristic
586C22×C4×C79C2411yescharacteristic
587C22×C4×C79C2411yescharacteristic
588C4⋊C4×C79—22no—
589C4⋊C4×C79—22no—
590C4⋊C4×C79—22no—
591C4⋊C4×C79—22no—
592C4⋊C4×C79—22no—
593C22⋊C4×C79—22no—
594C22⋊C4×C79—22no—
595C22⋊C4×C79—22no—
596C22⋊C4×C79—22no—
597C22⋊C4×C79—22no—
598C22⋊C4×C79—22no—
599C22⋊C4×C79—22no—
600C22⋊C4×C79—22no—
601C22⋊C4×C79—22no—
602C22⋊C4×C79—22no—
603C22⋊C4×C79—22no—
604C22⋊C4×C79—22no—
605C22⋊C4×C79—22no—
606C22⋊C4×C79—22no—
607C22⋊C4×C79C2×D414yes—
608C22⋊C4×C79#4114yescomplemented
609C42×C79—41no—
610C42×C79—41no—
611C23×C79—21no—
612C23×C79—21no—
613C23×C79—21no—
614C23×C79—21no—
615C23×C79—28no—
616C23×C79—21no—
617C23×C79—21no—
618C23×C79—21no—
619C23×C79—21no—
620C23×C79—21no—
621C23×C79—21no—
622C23×C79—21no—
623C23×C79—21no—
624C23×C79—21no—
625C23×C79—21no—
626C23×C79—21no—
627C23×C79—21no—
628C23×C79—21no—
629C23×C79—21no—
630C23×C79—21no—
631C23×C79—21no—
632C23×C79—21no—
633C23×C79—21no—
634C23×C79—21no—
635C23×C79—21no—
636C23×C79—21no—
637C23×C79—21no—
638C23×C79—21no—
639C23×C79—21no—
640C23×C79—21no—
641C23×C79—21no—
642C23×C79—44no—
643C23×C79—44no—
644C23×C79—44no—
645C23×C79—44no—
646C23×C79—44no—
647C23×C79—44no—
648C23×C79C22×D412yes—
649C23×C79C2×#4112yes—
650C23×C79C2×#4112yes—
651C23×C79C2×#4112yes—
652C23×C79C2×#4112yes—
653C23×C79C2511yescharacteristic
654C22×D79—21no—
655C22×D79—21no—
656C22×D79—21no—
657C22×D79—21no—
658C22×D79—21no—
659C22×D79—21no—
660C22×D79C22×D412yes—
661D4×C79—44no—
662D4×C79—44no—
663D4×C79—44no—
664D4×C79—44no—
665D4×C79—44no—
666D4×C79—44no—
667D4×C79—44no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—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—44no—
693C2×C4×C79—44no—
694C2×C4×C79C22×D412yes—
695C2×C4×C79C22×D412yes—
696C2×C4×C79C2×#4112yes—
697C2×C4×C79C2×#4112yes—
698C2×C4×C79C2×#4112yes—
699C2×C4×C79C2×#4112yes—
700C22⋊D79—28no—
701C22⋊D79—44no—
702C22⋊D79—44no—
703C22⋊D79—44no—
704C22⋊D79—44no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—28no—
716C2×Dic79—28no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—21no—
731C2×Dic79—21no—
732C2×Dic79—21no—
733C2×Dic79—21no—
734C2×Dic79—21no—
735C2×Dic79—21no—
736C2×Dic79—21no—
737C2×Dic79—21no—
738C2×Dic79—21no—
739C2×Dic79—21no—
740C2×Dic79—21no—
741C2×Dic79—21no—
742C2×Dic79—21no—
743C2×Dic79—21no—
744C2×Dic79—44no—
745C2×Dic79—44no—
746C2×Dic79—44no—
747C2×Dic79—44no—
748C2×Dic79—44no—
749C2×Dic79—44no—
750C2×Dic79—44no—
751C2×Dic79—44no—
752C2×Dic79C22×D412yes—
753C2×Dic79C22×D412yes—
754C2×Dic79C22×D412yes—
755C2×Dic79C2×#4112yes—
756C2×Dic79C2×#4112yes—
757C2×Dic79C2×#4112yes—
758C2×Dic79C2×#4112yes—
759C2×Dic79H(5,𝔽2)12yes—
760C4×D79—28no—
761C4×D79—44no—
762C4×D79—44no—
763Dic158—44no—
764Dic158—44no—
765C22×C79—22no—
766C22×C79—22no—
767C22×C79—22no—
768C22×C79—22no—
769C22×C79—22no—
770C22×C79—22no—
771C22×C79—22no—
772C22×C79—22no—
773C22×C79—22no—
774C22×C79—22no—
775C22×C79—22no—
776C22×C79—22no—
777C22×C79—416no—
778C22×C79—41no—
779C22×C79—41no—
780C22×C79—41no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79—41no—
784C22×C79—41no—
785C22×C79—41no—
786C22×C79—41no—
787C22×C79—41no—
788C22×C79—41no—
789C22×C79—41no—
790C22×C79—41no—
791C22×C79—41no—
792C22×C79—41no—
793C22×C79—41no—
794C22×C79—41no—
795C22×C79—41no—
796C22×C79—41no—
797C22×C79—41no—
798C22×C79—41no—
799C22×C79—41no—
800C22×C79#53214yes—
801C22×C79C23×D411yescharacteristic
802C22×C79C22×#4111yescharacteristic
803C22×C79C22×#4111yescharacteristic
804C22×C79C22×#4111yescharacteristic
805C22×C79C22×#4111yescharacteristic
806C22×C79C2×H(5,𝔽2)11yescharacteristic
807C22×C79#58511yescharacteristic
808C2×D79—22no—
809C2×D79—22no—
810C2×D79—22no—
811C2×D79—41no—
812C2×D79—41no—
813C2×D79—41no—
814C2×D79—41no—
815C4×C79—22no—
816C4×C79—22no—
817C4×C79—22no—
818C4×C79—22no—
819C4×C79—22no—
820C4×C79—22no—
821C4×C79—41no—
822C4×C79—41no—
823C4×C79—41no—
824C4×C79—41no—
825Dic79—22no—
826Dic79—22no—
827Dic79—22no—
828Dic79—22no—
829Dic79—22no—
830Dic79—41no—
831Dic79—41no—
832Dic79—41no—
833Dic79—41no—
834Dic79—41no—
835Dic79—41no—
836Dic79—41no—
837Dic79—41no—
838Dic79—41no—
839Dic79#54614yes—
840#34829—791nomaximal, Sylow
841C2×C79—24no—
842C2×C79—42no—
843C2×C79—42no—
844C2×C79—81no—
845C2×C79—81no—
846C2×C79C2×#53211yescharacteristic
847C2×C79#344411yescharacteristic
848C2×C79#345911yescharacteristic
849C2×C79C2×#54611yescharacteristic
850C2×C79D4×#4111yescharacteristic
851C2×C79#347511yescharacteristic
852C2×C79#348111yescharacteristic
853D79—42no—
854C2×#529—791no—
855C2×#525—791no—
856#2560—791no—
857#2559—791no—
858#2558—791no—
859#2557—791no—
860#2556—791no—
861#2555—791no—
862#2554—791no—
863#2553—791no—
864#2549—791no—
865#2543—791no—
866#2539D7911yescharacteristic, complemented
867#2534—791no—
868#2488—791no—
869#2472—791no—
870#2425—791no—
871#2424—791no—
872#2396—791no—
873#2395—791no—
874#2392—791no—
875#2388—791no—
876C4×#124—791no—
877C4×#123—791no—
878C4×#121—791no—
879C4×#121—791no—
880C4×#120—791no—
881#2297—791no—
882#2293—791no—
883C42×D4—791no—
884C2×C4×C22⋊C4—791no—
885C79#3482911yescharacteristic, complemented, Sylow
886C22×#41—791no—
887C24×C4—791no—
888#529—1588no—
889C2×#126—791no—
890C2×#126—791no—
891C2×#125—791no—
892C2×#124—791no—
893C2×#124—791no—
894#525—1588no—
895C2×#123—791no—
896C2×#123—791no—
897C2×#123—791no—
898C2×#123C2×D7911yescharacteristic
899C2×#123C2×D7911yescharacteristic
900C2×C22⋊Q8—791no—
901C2×C22⋊Q8—791no—
902C2×C22⋊Q8—791no—
903C2×#121—791no—
904C2×#121—791no—
905C2×#121—791no—
906C2×#121—791no—
907C2×#121C2×D7911yescharacteristic
908C2×#120—791no—
909C2×#120C2×D7911yescharacteristic
910C2×#120C2×D7911yescharacteristic
911C2×C4×Q8—791no—
912C2×C4×D4—791no—
913C2×C4×D4—791no—
914C2×C4×D4—791no—
915C2×C4×D4—791no—
916C2×C4×D4—791no—
917C2×C4×D4—791no—
918C2×C4×D4—791no—
919C2×C4×D4—791no—
920C2×C4×D4—791no—
921C2×C4×D4—791no—
922C2×C4×D4—791no—
923C2×#117—791no—
924C2×#117—791no—
925C2×#117—791no—
926C22×C22⋊C4—791no—
927C22×C22⋊C4C2×D7911yescharacteristic
928C22×C42—791no—
929C22×C42—791no—
930C22×C42—791no—
931#400—791no—
932#400—791no—
933#399C2×D7911yescharacteristic
934#399C2×D7911yescharacteristic
935#398—791no—
936#398—791no—
937#398—791no—
938#398—791no—
939#397—791no—
940#397—791no—
941#397—791no—
942#397—791no—
943#396—791no—
944#396—791no—
945#396—791no—
946#396—791no—
947#395—791no—
948#395—791no—
949#394—791no—
950#394—791no—
951#394—791no—
952#394—791no—
953#394—791no—
954#394—791no—
955#394—791no—
956#394—791no—
957#393—791no—
958#393—791no—
959#392—791no—
960#392—791no—
961#392C2×D7911yescharacteristic
962#392C2×D7911yescharacteristic
963#391—791no—
964#391—791no—
965#391—791no—
966#390—791no—
967#390—791no—
968#390—791no—
969#390C2×D7911yescharacteristic
970#390C2×D7911yescharacteristic
971#390C2×D7911yescharacteristic
972#390C2×D7911yescharacteristic
973#389—791no—
974#389—791no—
975#389—791no—
976#389—791no—
977#388—791no—
978#388—791no—
979#388—791no—
980#388—791no—
981#388—791no—
982#388—791no—
983#388—791no—
984#388—791no—
985#388—791no—
986#388—791no—
987#388—791no—
988#388—791no—
989#388—791no—
990#388—791no—
991#387—791no—
992#387—791no—
993#386—791no—
994#386—791no—
995#386—791no—
996#386—791no—
997#386—791no—
998#386—791no—
999#386—791no—
1000#386—791no—
1001#386—791no—
1002#386—791no—
1003#386—791no—
1004#386—791no—
1005#385—791no—
1006#385—791no—
1007#385—791no—
1008#385—791no—
1009#382—791no—
1010#381—791no—
1011#380—791no—
1012#380—791no—
1013#379—791no—
1014C4×C4⋊C4—791no—
1015C4×C4⋊C4—791no—
1016C4×C4⋊C4—791no—
1017C4×C4⋊C4—791no—
1018C4×C4⋊C4—791no—
1019C4×C4⋊C4—791no—
1020C4×C22⋊C4—791no—
1021C4×C22⋊C4—791no—
1022C4×C22⋊C4—791no—
1023C4×C22⋊C4—791no—
1024C4×C22⋊C4—791no—
1025C4×C22⋊C4—791no—
1026C4×C22⋊C4—791no—
1027C4×C22⋊C4—791no—
1028C4×C22⋊C4—791no—
1029C4×C22⋊C4—791no—
1030C4×C22⋊C4—791no—
1031C4×C22⋊C4—791no—
1032C4×C22⋊C4—791no—
1033C4×C22⋊C4—791no—
1034C4×C22⋊C4—791no—
1035C4×C22⋊C4—791no—
1036C4×C22⋊C4—791no—
1037C4×C22⋊C4—791no—
1038C4×C22⋊C4—791no—
1039C4×C22⋊C4C2×D7911yescharacteristic
1040C2×#95—791no—
1041C2×#95—791no—
1042C43—791no—
1043C25C22×D7911yescharacteristic
1044C2×#41—3162no—
1045C2×#41—1584no—
1046C2×#41—1584no—
1047C22×Q8—791no—
1048C22×Q8—791no—
1049C22×D4—791no—
1050C22×D4—791no—
1051C22×D4—791no—
1052C22×D4—791no—
1053C22×D4—791no—
1054C22×D4C22×D7911yescharacteristic
1055C22×D4C22×D7911yescharacteristic
1056C22×D4C22×D7911yescharacteristic
1057C22×D4C22×D7911yescharacteristic
1058C22×D4C22×D7911yescharacteristic
1059C22×D4C22×D7911yescharacteristic
1060C22×D4C22×D7911yescharacteristic
1061C23×C4—3162no—
1062C23×C4—791no—
1063C23×C4—791no—
1064C23×C4—791no—
1065C23×C4—791no—
1066C23×C4—791no—
1067C23×C4—791no—
1068C23×C4—791no—
1069C23×C4—791no—
1070C23×C4—791no—
1071C23×C4—791no—
1072C23×C4—791no—
1073C23×C4—791no—
1074C23×C4—791no—
1075C23×C4—1584no—
1076C23×C4—1584no—
1077C23×C4C22×D7911yescharacteristic
1078C23×C4C22×D7911yescharacteristic
1079#126—1584no—
1080#126—1584no—
1081#125—1584no—
1082#124—1584no—
1083#124—1584no—
1084#123—24no—
1085#123—24no—
1086#123—1584no—
1087#123—1584no—
1088#123—1584no—
1089C22⋊Q8—1584no—
1090C22⋊Q8—1584no—
1091C22⋊Q8—1584no—
1092#121—24no—
1093#121—1584no—
1094#121—1584no—
1095#121—1584no—
1096#121—1584no—
1097#120—24no—
1098#120—24no—
1099#120—1584no—
1100C4×Q8—1584no—
1101C4×D4—3162no—
1102C4×D4—3162no—
1103C4×D4—798no—
1104C4×D4—1584no—
1105C4×D4—1584no—
1106C4×D4—1584no—
1107C4×D4—1584no—
1108C4×D4—1584no—
1109C4×D4—1584no—
1110C4×D4—1584no—
1111C4×D4—1584no—
1112#117—1584no—
1113#117—1584no—
1114#117—1584no—
1115C2×C4⋊C4—791no—
1116C2×C4⋊C4—791no—
1117C2×C4⋊C4—791no—
1118C2×C4⋊C4—791no—
1119C2×C4⋊C4—791no—
1120C2×C4⋊C4—791no—
1121C2×C4⋊C4—791no—
1122C2×C4⋊C4—791no—
1123C2×C4⋊C4—791no—
1124C2×C4⋊C4—791no—
1125C2×C4⋊C4—791no—
1126C2×C4⋊C4—791no—
1127C2×C4⋊C4—791no—
1128C2×C4⋊C4—791no—
1129C2×C4⋊C4—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⋊C4C22×D7911yescharacteristic
1137C2×C4⋊C4C22×D7911yescharacteristic
1138C2×C4⋊C4C22×D7911yescharacteristic
1139C2×C4⋊C4C22×D7911yescharacteristic
1140C2×C4⋊C4C22×D7911yescharacteristic
1141C2×C22⋊C4—24no—
1142C2×C22⋊C4—791no—
1143C2×C22⋊C4—791no—
1144C2×C22⋊C4—791no—
1145C2×C22⋊C4—791no—
1146C2×C22⋊C4—791no—
1147C2×C22⋊C4—791no—
1148C2×C22⋊C4—791no—
1149C2×C22⋊C4—791no—
1150C2×C22⋊C4—791no—
1151C2×C22⋊C4—791no—
1152C2×C22⋊C4—791no—
1153C2×C22⋊C4—791no—
1154C2×C22⋊C4—791no—
1155C2×C22⋊C4—791no—
1156C2×C22⋊C4—791no—
1157C2×C22⋊C4—791no—
1158C2×C22⋊C4—791no—
1159C2×C22⋊C4—791no—
1160C2×C22⋊C4—791no—
1161C2×C22⋊C4—791no—
1162C2×C22⋊C4—791no—
1163C2×C22⋊C4—791no—
1164C2×C22⋊C4—791no—
1165C2×C22⋊C4—791no—
1166C2×C22⋊C4—791no—
1167C2×C22⋊C4—791no—
1168C2×C22⋊C4—791no—
1169C2×C22⋊C4—791no—
1170C2×C22⋊C4—791no—
1171C2×C22⋊C4—791no—
1172C2×C22⋊C4—791no—
1173C2×C22⋊C4—791no—
1174C2×C22⋊C4—1584no—
1175C2×C22⋊C4C22×D7911yescharacteristic
1176C2×C22⋊C4C22×D7911yescharacteristic
1177C2×C22⋊C4C22×D7911yescharacteristic
1178C2×C22⋊C4C22×D7911yescharacteristic
1179C2×C22⋊C4C22×D7911yescharacteristic
1180C2×C22⋊C4C22×D7911yescharacteristic
1181C2×C22⋊C4C22×D7911yescharacteristic
1182C2×C22⋊C4C22×D7911yescharacteristic
1183C2×C22⋊C4C22×D7911yescharacteristic
1184C2×C22⋊C4C22×D7911yescharacteristic
1185C2×C22⋊C4C22×D7911yescharacteristic
1186C2×C22⋊C4C22×D7911yescharacteristic
1187C2×C22⋊C4C22×D7911yescharacteristic
1188C2×C22⋊C4C22×D7911yescharacteristic
1189C2×C22⋊C4C22×D7911yescharacteristic
1190C2×C22⋊C4C22×D7911yescharacteristic
1191C2×C42—3162no—
1192C2×C42—3162no—
1193C2×C42—791no—
1194C2×C42—791no—
1195C2×C42—791no—
1196C2×C42—791no—
1197C2×C42—791no—
1198C2×C42—791no—
1199C2×C42—791no—
1200C2×C42—791no—
1201C2×C42—791no—
1202C2×C42—791no—
1203C2×C42—791no—
1204C2×C42—791no—
1205C2×C42—791no—
1206C2×C42—791no—
1207C2×C42—791no—
1208C2×C42—791no—
1209C2×C42—791no—
1210C2×C42—1584no—
1211C2×C42C22×D7911yescharacteristic
1212C2×C42C22×D7911yescharacteristic
1213#95—791no—
1214#95—791no—
1215#95—791no—
1216#95—791no—
1217#95—791no—
1218#95—791no—
1219#95—791no—
1220#95—791no—
1221#95—791no—
1222#95—791no—
1223#95—791no—
1224#95—791no—
1225#95—791no—
1226#95—791no—
1227#95—791no—
1228#95—791no—
1229#95—791no—
1230#95—791no—
1231#95—791no—
1232#95—791no—
1233#95—791no—
1234#95—791no—
1235#95—791no—
1236#95—791no—
1237#95—791no—
1238#95—791no—
1239#95—791no—
1240#95—791no—
1241#95—791no—
1242#95—791no—
1243#95C22×D7911yescharacteristic
1244#95C22×D7911yescharacteristic
1245C24—22no—
1246C24—22no—
1247C24—22no—
1248C24—22no—
1249C24—22no—
1250C24—41no—
1251C24—41no—
1252C24—791no—
1253C24C23×D7911yescharacteristic
1254C24C23×D7911yescharacteristic
1255C24C23×D7911yescharacteristic
1256C24C23×D7911yescharacteristic
1257C24C23×D7911yescharacteristic
1258#41—31616no—
1259C2×Q8—3161no—
1260C2×Q8—3161no—
1261C2×Q8—1582no—
1262C2×Q8—1582no—
1263C2×Q8—1582no—
1264C2×Q8—1582no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—3161no—
1287C2×D4—3161no—
1288C2×D4—3161no—
1289C2×D4—3161no—
1290C2×D4—794no—
1291C2×D4—1582no—
1292C2×D4—1582no—
1293C2×D4—1582no—
1294C2×D4—1582no—
1295C2×D4—1582no—
1296C2×D4—1582no—
1297C2×D4—1582no—
1298C2×D4—1582no—
1299C2×D4—1582no—
1300C2×D4—1582no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—3161no—
1307C22×C4—3161no—
1308C22×C4—3161no—
1309C22×C4—3161no—
1310C22×C4—3161no—
1311C22×C4—3161no—
1312C22×C4—3161no—
1313C22×C4—3161no—
1314C22×C4—31616no—
1315C22×C4—791no—
1316C22×C4—794no—
1317C22×C4—791no—
1318C22×C4—791no—
1319C22×C4—791no—
1320C22×C4—791no—
1321C22×C4—791no—
1322C22×C4—794no—
1323C22×C4—794no—
1324C22×C4—791no—
1325C22×C4—791no—
1326C22×C4—791no—
1327C22×C4—791no—
1328C22×C4—791no—
1329C22×C4—791no—
1330C22×C4—791no—
1331C22×C4—791no—
1332C22×C4—791no—
1333C22×C4—1582no—
1334C22×C4—1582no—
1335C22×C4—1582no—
1336C22×C4—1582no—
1337C22×C4—1582no—
1338C22×C4—1582no—
1339C22×C4—1582no—
1340C22×C4—1582no—
1341C22×C4—1582no—
1342C22×C4—1582no—
1343C22×C4—1582no—
1344C22×C4—1582no—
1345C22×C4—1582no—
1346C22×C4—1582no—
1347C22×C4—1582no—
1348C22×C4—1582no—
1349C22×C4—1582no—
1350C22×C4—1582no—
1351C22×C4—1582no—
1352C22×C4—1582no—
1353C22×C4—1582no—
1354C22×C4—1582no—
1355C22×C4—1582no—
1356C22×C4—1582no—
1357C22×C4—1582no—
1358C22×C4—1582no—
1359C22×C4—1582no—
1360C22×C4—1582no—
1361C22×C4#1192962314yescomplemented
1362C22×C4C23×D7911yescharacteristic
1363C22×C4C23×D7911yescharacteristic
1364C22×C4C23×D7911yescharacteristic
1365C22×C4C23×D7911yescharacteristic
1366C22×C4C23×D7911yescharacteristic
1367C22×C4C23×D7911yescharacteristic
1368C22×C4C23×D7911yescharacteristic
1369C22×C4C23×D7911yescharacteristic
1370C22×C4C23×D7911yescharacteristic
1371C22×C4C23×D7911yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—3161no—
1378C4⋊C4—3161no—
1379C4⋊C4—3161no—
1380C4⋊C4—3161no—
1381C4⋊C4—794no—
1382C4⋊C4—1582no—
1383C4⋊C4—1582no—
1384C4⋊C4—1582no—
1385C4⋊C4—1582no—
1386C4⋊C4—1582no—
1387C4⋊C4—1582no—
1388C4⋊C4—1582no—
1389C4⋊C4—1582no—
1390C4⋊C4—1582no—
1391C4⋊C4—1582no—
1392C4⋊C4—1582no—
1393C4⋊C4—1582no—
1394C4⋊C4—1582no—
1395C4⋊C4—1582no—
1396C4⋊C4—1582no—
1397C4⋊C4—1582no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—3161no—
1413C22⋊C4—3161no—
1414C22⋊C4—3161no—
1415C22⋊C4—3161no—
1416C22⋊C4—3161no—
1417C22⋊C4—3161no—
1418C22⋊C4—794no—
1419C22⋊C4—794no—
1420C22⋊C4—1582no—
1421C22⋊C4—1582no—
1422C22⋊C4—1582no—
1423C22⋊C4—1582no—
1424C22⋊C4—1582no—
1425C22⋊C4—1582no—
1426C22⋊C4—1582no—
1427C22⋊C4—1582no—
1428C22⋊C4—1582no—
1429C22⋊C4—1582no—
1430C22⋊C4—1582no—
1431C22⋊C4—1582no—
1432C22⋊C4—1582no—
1433C22⋊C4—1582no—
1434C22⋊C4—1582no—
1435C22⋊C4—1582no—
1436C22⋊C4—1582no—
1437C22⋊C4—1582no—
1438C22⋊C4—1582no—
1439C22⋊C4—1582no—
1440C22⋊C4—1582no—
1441C22⋊C4—1582no—
1442C22⋊C4—1582no—
1443C22⋊C4—1582no—
1444C22⋊C4D4×D7914yes—
1445C22⋊C4#1192962314yescomplemented
1446C42—41no—
1447C42—41no—
1448C42—3161no—
1449C42—3161no—
1450C42—3161no—
1451C42—794no—
1452C42—1582no—
1453C42—1582no—
1454C42—1582no—
1455C42—1582no—
1456C42—1582no—
1457C42—1582no—
1458C42—1582no—
1459C42—1582no—
1460C42—1582no—
1461C42—1582no—
1462C42—1582no—
1463C42—1582no—
1464C42—1582no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—28no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—44no—
1497C23—44no—
1498C23—44no—
1499C23—44no—
1500C23—44no—
1501C23—44no—
1502C23—792no—
1503C23—1581no—
1504C23—1581no—
1505C23—1581no—
1506C23—1581no—
1507C23—1581no—
1508C23—1581no—
1509C23C2×D4×D7912yes—
1510C23#41×D7912yes—
1511C23#41×D7912yes—
1512C23C2×#1192962312yes—
1513C23C2×#1192962312yes—
1514C23C24×D7911yescharacteristic
1515Q8—3164no—
1516Q8—3164no—
1517D4—44no—
1518D4—44no—
1519D4—44no—
1520D4—44no—
1521D4—44no—
1522D4—44no—
1523D4—44no—
1524D4—3164no—
1525D4—3164no—
1526D4—3164no—
1527D4—3164no—
1528D4—1588no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—44no—
1554C2×C4—44no—
1555C2×C4—3164no—
1556C2×C4—3164no—
1557C2×C4—3164no—
1558C2×C4—3164no—
1559C2×C4—3164no—
1560C2×C4—3164no—
1561C2×C4—3164no—
1562C2×C4—3164no—
1563C2×C4—3164no—
1564C2×C4—3164no—
1565C2×C4—792no—
1566C2×C4—792no—
1567C2×C4—792no—
1568C2×C4—792no—
1569C2×C4—792no—
1570C2×C4—792no—
1571C2×C4—792no—
1572C2×C4—792no—
1573C2×C4—1588no—
1574C2×C4—1581no—
1575C2×C4—1581no—
1576C2×C4—1581no—
1577C2×C4—1581no—
1578C2×C4—1581no—
1579C2×C4—1581no—
1580C2×C4—1581no—
1581C2×C4—1581no—
1582C2×C4—1581no—
1583C2×C4—1581no—
1584C2×C4—1581no—
1585C2×C4—1581no—
1586C2×C4—1581no—
1587C2×C4—1581no—
1588C2×C4—1581no—
1589C2×C4—1581no—
1590C2×C4—1581no—
1591C2×C4—1581no—
1592C2×C4—1581no—
1593C2×C4—1581no—
1594C2×C4—1581no—
1595C2×C4—1581no—
1596C2×C4—1581no—
1597C2×C4—1581no—
1598C2×C4—1581no—
1599C2×C4—1581no—
1600C2×C4—1581no—
1601C2×C4—1588no—
1602C2×C4—1588no—
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×C4C2×D4×D7912yes—
1614C2×C4C2×D4×D7912yes—
1615C2×C4C2×#1192962312yes—
1616C2×C4C2×#1192962312yes—
1617C2×C4C2×#1192962312yes—
1618C2×C4C2×#1192962312yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—416no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—3161no—
1655C22—3161no—
1656C22—3161no—
1657C22—3161no—
1658C22—1582no—
1659C22—1582no—
1660C22—1582no—
1661C22#1909911114yes—
1662C22C22×D4×D7911yescharacteristic
1663C22C2×#41×D7911yescharacteristic
1664C22C2×#41×D7911yescharacteristic
1665C22C22×#1192962311yescharacteristic
1666C22C22×#1192962311yescharacteristic
1667C22H(5,𝔽2)×D7911yescharacteristic
1668C22#1909939811yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—3161no—
1680C4—3161no—
1681C4—3161no—
1682C4—3161no—
1683C4—3161no—
1684C4—3161no—
1685C4—3161no—
1686C4—3161no—
1687C4—3161no—
1688C4—794no—
1689C4—1582no—
1690C4—1582no—
1691C4—1582no—
1692C4—1582no—
1693C4—1582no—
1694C2—24no—
1695C2—42no—
1696C2—42no—
1697C2—81no—
1698C2—81no—
1699C2—3162no—
1700C2C2×#1909911111yescharacteristic
1701C2#2377669211yescharacteristic
1702C2#2377680611yescharacteristic
1703C2#546×D7911yescharacteristic
1704C2#2377688411yescharacteristic
1705C2#2377695111yescharacteristic
1706C2#2377700511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2539C2
hypercenter#2539D79
hypocenterC79#34829
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2539

Complements

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

NH ≅ G/Ntype
1. C2×#19099090C2semidirect
2. C2×#19099069C2semidirect
3. #23768549C2semidirect
4. #23768534C2semidirect
5. #23768519C2semidirect
6. #23768504C2semidirect
7. #23768485C2semidirect
8. #23768470C2semidirect
9. #23768461C2semidirect
10. #23768446C2semidirect
11. #23768406C2semidirect
12. #23768362C2semidirect
13. #23768290C2semidirect
14. #23767730C2semidirect
15. #23767525C2semidirect
16. #23766947C2semidirect
17. #23766932C2semidirect
18. #23766669C2semidirect
19. #23766665C2semidirect
20. #23766635C2semidirect
21. #23766612C2semidirect
22. #23765947C2semidirect
23. #123×Dic79C2semidirect
24. #23765916C2semidirect
25. #121×Dic79C2semidirect
26. #120×Dic79C2semidirect
27. #23765887C2semidirect
28. #23765862C2semidirect
29. C4×(C22⋊D79)⋊C4C2semidirect
30. C2×C22⋊C4×Dic79C2semidirect
31. C79×#2539C2semidirect
35. C2×#14579156C22semidirect
36. C2×#14579154C22semidirect
37. C2×#14579151C22semidirect
39. C2×#14579147C22semidirect
52. C2×#14579126C22semidirect
58. C2×D4×Dic79C22semidirect
63. C2×(C22⋊D79)⋊C4C22semidirect
64. C2×#14579119C22semidirect
66. C2×#14579117C22semidirect
70. C2×C42×D79C22semidirect
71. #19098501C22semidirect
72. #19098501C22semidirect
73. #19098495C22semidirect
74. #19098495C22semidirect
75. #19098494C22semidirect
76. #19098494C22semidirect
77. #19098489C22semidirect
78. #19098489C22semidirect
80. #19098488C22semidirect
84. #19098486C22semidirect
85. #19098484C22semidirect
86. #19098484C22semidirect
90. #19098479C22semidirect
94. #19098477C22semidirect
96. #19098475C22semidirect
98. #19098471C22semidirect
99. #19098469C22semidirect
100. #19098469C22semidirect
101. #19098468C22semidirect
104. #19098466C22semidirect
105. #19098462C22semidirect
106. #19098461C22semidirect
107. #19098461C22semidirect
108. #19098459C22semidirect
111. #19098457C22semidirect
112. #19098457C22semidirect
113. #19098456C22semidirect
114. #19098456C22semidirect
115. #19098456C22semidirect
116. #19098456C22semidirect
120. #19098451C22semidirect
121. #19098451C22semidirect
122. #19098451C22semidirect
123. #19098449C22semidirect
124. #19098449C22semidirect
134. #19098439C22semidirect
135. #19098439C22semidirect
136. #19098439C22semidirect
141. #19098428C22semidirect
144. #19098420C22semidirect
146. C4⋊C4×Dic79C22semidirect
147. C4⋊C4×Dic79C22semidirect
148. C4⋊C4×Dic79C22semidirect
149. C4×Dic79⋊C4C22semidirect
150. #19098414C22semidirect
151. #19098414C22semidirect
164. C22⋊C4×Dic79C22semidirect
165. C22⋊C4×Dic79C22semidirect
166. C22⋊C4×Dic79C22semidirect
167. C22⋊C4×Dic79C22semidirect
168. C4×(C2×D79)⋊C4C22semidirect
169. #19098410C22semidirect
170. #19098410C22semidirect
173. C42×Dic79C22semidirect
242. (C22⋊D79)⋊C4D4semidirect
514. C22⋊Dic79#41semidirect
577. C22×C4×C79#41semidirect
608. C22⋊C4×C79#41semidirect
866. #2539D79semidirect
885. C79#34829semidirect
1361. C22×C4#11929623semidirect
1445. C22⋊C4#11929623semidirect

Maximal subgroups

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

subgroupindex
C2×#190990902
C2×#190990692
#237685492
#237685342
#237685192
#237685042
#237684852
#237684702
#237684612
#237684462
#237684062
#237683622
#237682902
#237677302
#237675252
#237669472
#237669322
#237666692
#237666652
#237666352
#237666122
#237659472
#123×Dic792
#237659162
#121×Dic792
#120×Dic792
#237658872
#237658622
C4×(C22⋊D79)⋊C42
C2×C22⋊C4×Dic792
C79×#25392
#3482979