Finite Group Databasebeta

← #34458453

Subgroups — #34458453

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×#19099093C211yesmaximal, characteristic, complemented
2C2×#19099072C211yesmaximal, characteristic, complemented
3#23768538C211yesmaximal, characteristic, complemented
4#23768523C211yesmaximal, characteristic, complemented
5#23768508C211yesmaximal, characteristic, complemented
6#23768493C211yesmaximal, characteristic, complemented
7#23768478C211yesmaximal, characteristic, complemented
8#23768469C211yesmaximal, characteristic, complemented
9#23768454C211yesmaximal, characteristic, complemented
10#23768439C211yesmaximal, characteristic, complemented
11#23768406C211yesmaximal, characteristic, complemented
12#23768356C211yesmaximal, characteristic, complemented
13#23768326C211yesmaximal, characteristic, complemented
14#23768286C211yesmaximal, characteristic, complemented
15#23767720C211yesmaximal, characteristic, complemented
16#23767526C211yesmaximal, characteristic, complemented
17#23766945C211yesmaximal, characteristic, complemented
18#23766930C211yesmaximal, characteristic, complemented
19#23766672C211yesmaximal, characteristic, complemented
20#23766660C211yesmaximal, characteristic, complemented
21#23766640C211yesmaximal, characteristic, complemented
22#23766616C211yesmaximal, characteristic, complemented
23C4×#14579149C211yesmaximal, characteristic, complemented
24C4×#14579145C211yesmaximal, characteristic, complemented
25C4×#14579135C211yesmaximal, characteristic, complemented
26C4×#14579135C211yesmaximal, characteristic, complemented
27C4×#14579131C211yesmaximal, characteristic, complemented
28#23765890C211yesmaximal, characteristic, complemented
29#23765864C211yesmaximal, characteristic, complemented
30C2×C4×(C2×D79)⋊C4C211yesmaximal, characteristic, complemented
31C42×D4×C79C211yesmaximal, characteristic, complemented
32C22×#11929624C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34#19099093—28no—
35C2×#14579156C2211yescharacteristic, complemented
36C2×#14579154C2211yescharacteristic, complemented
37C2×#14579151C2211yescharacteristic, complemented
38C2×#14579149C2211yescharacteristic
39C2×#14579147C2211yescharacteristic, complemented
40#19099072—28no—
41C2×#14579146C2211yescharacteristic
42C2×#14579145C2211yescharacteristic
43C2×#14579145C2211yescharacteristic
44C2×#14579143C2211yescharacteristic
45C2×#14579142C2211yescharacteristic
46C2×#14579139C2211yescharacteristic
47C2×#14579138C2211yescharacteristic
48C2×#14579138C2211yescharacteristic
49C2×#14579135C2211yescharacteristic
50C2×#14579135C2211yescharacteristic
51C2×#14579134C2211yescharacteristic
52C2×#14579133C2211yescharacteristic
53C2×#14579133C2211yescharacteristic
54C2×#14579131C2211yescharacteristic
55C2×#14579131C2211yescharacteristic
56C2×#14579129C2211yescharacteristic
57C2×C4×Dic158C2211yescharacteristic, complemented
58C2×C4×D316C2211yescharacteristic
59C2×C4×D316C2211yescharacteristic
60C2×C4×D316C2211yescharacteristic
61C2×C4×D316C2211yescharacteristic, complemented
62C2×C4×C22⋊D79C2211yescharacteristic
63C2×C4×C22⋊D79C2211yescharacteristic
64C2×C4×C22⋊D79C2211yescharacteristic
65C2×C4×C22⋊D79C2211yescharacteristic, complemented
66C2×#14579120C2211yescharacteristic, complemented
67C2×#14579118C2211yescharacteristic
68C2×#14579118C2211yescharacteristic, complemented
69C22×(C2×D79)⋊C4C2211yescharacteristic
70C22×(C2×D79)⋊C4C2211yescharacteristic
71C22×C4×Dic79C2211yescharacteristic
72#19098503C2211yescharacteristic, complemented
73#19098503C2211yescharacteristic, complemented
74#19098500C2211yescharacteristic
75#19098500C2211yescharacteristic
76#19098495C2211yescharacteristic, complemented
77#19098495C2211yescharacteristic, complemented
78#19098493C2211yescharacteristic, complemented
79#19098493C2211yescharacteristic, complemented
80#19098490C2211yescharacteristic
81#19098490C2211yescharacteristic, complemented
82#19098488C2211yescharacteristic, complemented
83#19098488C2211yescharacteristic, complemented
84#19098485C2211yescharacteristic
85#19098485C2211yescharacteristic
86#19098485C2211yescharacteristic
87#19098485C2211yescharacteristic, complemented
88#19098484C2211yescharacteristic, complemented
89#19098484C2211yescharacteristic, complemented
90#19098481C2211yescharacteristic
91#19098481C2211yescharacteristic
92#19098480C2211yescharacteristic
93#19098480C2211yescharacteristic, complemented
94#19098479C2211yescharacteristic
95#19098479C2211yescharacteristic
96#19098479C2211yescharacteristic
97#19098479C2211yescharacteristic, complemented
98#19098476C2211yescharacteristic
99#19098476C2211yescharacteristic, complemented
100#19098473C2211yescharacteristic
101#19098473C2211yescharacteristic
102#19098472C2211yescharacteristic
103#19098472C2211yescharacteristic, complemented
104#19098469C2211yescharacteristic, complemented
105#19098469C2211yescharacteristic, complemented
106#19098469C2211yescharacteristic, complemented
107#19098465C2211yescharacteristic
108#19098465C2211yescharacteristic
109#19098465C2211yescharacteristic
110#19098465C2211yescharacteristic
111#19098465C2211yescharacteristic
112#19098465C2211yescharacteristic
113#19098465C2211yescharacteristic, complemented
114#19098461C2211yescharacteristic, complemented
115#19098461C2211yescharacteristic, complemented
116#19098461C2211yescharacteristic, complemented
117#19098461C2211yescharacteristic, complemented
118#19098455C2211yescharacteristic, complemented
119#19098455C2211yescharacteristic, complemented
120#19098454C2211yescharacteristic
121#19098454C2211yescharacteristic
122#19098454C2211yescharacteristic
123#19098454C2211yescharacteristic
124#19098454C2211yescharacteristic
125#19098454C2211yescharacteristic, complemented
126#19098454C2211yescharacteristic, complemented
127#19098454C2211yescharacteristic, complemented
128#19098454C2211yescharacteristic, complemented
129#19098454C2211yescharacteristic, complemented
130#19098454C2211yescharacteristic, complemented
131#19098454C2211yescharacteristic, complemented
132#19098448C2211yescharacteristic, complemented
133#19098448C2211yescharacteristic, complemented
134#19098442C2211yescharacteristic
135#19098442C2211yescharacteristic
136#19098442C2211yescharacteristic
137#19098442C2211yescharacteristic
138#19098442C2211yescharacteristic
139#19098442C2211yescharacteristic, complemented
140#19098442C2211yescharacteristic, complemented
141#19098442C2211yescharacteristic, complemented
142#19098441C2211yescharacteristic
143#19098441C2211yescharacteristic
144#19098440C2211yescharacteristic
145#19098440C2211yescharacteristic
146#19098438C2211yescharacteristic
147#19098438C2211yescharacteristic
148#19098437C2211yescharacteristic
149#19098437C2211yescharacteristic
150#19098429C2211yescharacteristic, complemented
151#19098424C2211yescharacteristic
152#19098423C2211yescharacteristic
153#19098423C2211yescharacteristic, complemented
154#19098418C2211yescharacteristic
155C4×C4⋊Dic79C2211yescharacteristic, complemented
156C4×C4⋊Dic79C2211yescharacteristic, complemented
157C4×C4⋊Dic79C2211yescharacteristic, complemented
158C4×(C2×D79)⋊C4C2211yescharacteristic
159C4×(C2×D79)⋊C4C2211yescharacteristic
160C4×(C2×D79)⋊C4C2211yescharacteristic
161C4×(C2×D79)⋊C4C2211yescharacteristic
162C4×(C2×D79)⋊C4C2211yescharacteristic
163C4×(C2×D79)⋊C4C2211yescharacteristic
164C4×(C2×D79)⋊C4C2211yescharacteristic
165C4×(C2×D79)⋊C4C2211yescharacteristic
166C4×(C2×D79)⋊C4C2211yescharacteristic
167C4×(C2×D79)⋊C4C2211yescharacteristic
168C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
169C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
170C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
171C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
172C2×C79⋊#95C2211yescharacteristic
173C2×C79⋊#95C2211yescharacteristic
174C2×C4×D4×C79C2211yescharacteristic
175C2×C4×D4×C79C2211yescharacteristic
176C2×C4×D4×C79C2211yescharacteristic
177C22×C42×C79C2211yescharacteristic
178C22×C42×C79C2211yescharacteristic, complemented
179C4×C4⋊C4×C79C2211yescharacteristic, complemented
180C4×C4⋊C4×C79C2211yescharacteristic, complemented
181C4×C4⋊C4×C79C2211yescharacteristic, complemented
182C4×C22⋊C4×C79C2211yescharacteristic
183C4×C22⋊C4×C79C2211yescharacteristic
184C4×C22⋊C4×C79C2211yescharacteristic
185C4×C22⋊C4×C79C2211yescharacteristic, complemented
186C4×C22⋊C4×C79C2211yescharacteristic, complemented
187C4×C22⋊C4×C79C2211yescharacteristic, complemented
188C43×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C2×#11929624—24no—
191C2×#11929624—24no—
192C2×#11929624—42no—
193C22×Dic158C2311yescharacteristic
194C22×Dic158C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×D316C2311yescharacteristic
198C22×D316C2311yescharacteristic
199C22×D316C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C22×C22⋊D79C2311yescharacteristic
205C22×C22⋊D79C2311yescharacteristic
206C23×Dic79C2311yescharacteristic
207C23×Dic79C2311yescharacteristic
208C23×Dic79C2311yescharacteristic
209C22×C4×D79—24no—
210C22×C4×D79—24no—
211C22×C4×D79—42no—
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218#14579156—24no—
219#14579154—24no—
220#14579151—24no—
221#14579149—24no—
222#14579147—24no—
223#14579146—24no—
224#14579145—24no—
225#14579145—24no—
226#14579143—24no—
227#14579142—24no—
228#14579139—24no—
229#14579138—24no—
230#14579138—24no—
231#14579135—24no—
232#14579135—24no—
233#14579134—24no—
234#14579133—24no—
235#14579133—24no—
236#14579131—24no—
237#14579131—24no—
238#14579129—24no—
239C4×Dic158—24no—
240C4×D316—24no—
241C4×D316—24no—
242C4×D316—42no—
243C4×D316—42no—
244C4×C22⋊D79—24no—
245C4×C22⋊D79—24no—
246C4×C22⋊D79—24no—
247C4×C22⋊D79—24no—
248#14579120—24no—
249#14579118—24no—
250#14579118—24no—
251C2×C4⋊Dic79C2311yescharacteristic
252C2×C4⋊Dic79C2311yescharacteristic
253C2×C4⋊Dic79C2311yescharacteristic
254C2×C4⋊Dic79C2311yescharacteristic
255C2×C4⋊Dic79C2311yescharacteristic
256C2×C4⋊Dic79C2311yescharacteristic
257C2×C4⋊Dic79C2311yescharacteristic
258C2×C4⋊Dic79C2311yescharacteristic
259C2×C4⋊Dic79C2311yescharacteristic
260C2×C4⋊Dic79C2311yescharacteristic
261C2×C4⋊Dic79C2311yescharacteristic
262C2×C4⋊Dic79C2311yescharacteristic
263C2×C4⋊Dic79C2311yescharacteristic
264C2×Dic79⋊C4C2311yescharacteristic
265C2×Dic79⋊C4C2311yescharacteristic
266C2×Dic79⋊C4C2311yescharacteristic
267C2×Dic79⋊C4C2311yescharacteristic
268C2×Dic79⋊C4C2311yescharacteristic
269C2×Dic79⋊C4C2311yescharacteristic
270C2×Dic79⋊C4C2311yescharacteristic
271C2×Dic79⋊C4C2311yescharacteristic
272C2×Dic79⋊C4C2311yescharacteristic
273C2×Dic79⋊C4C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×(C2×D79)⋊C4—24no—
281C2×(C2×D79)⋊C4—24no—
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×(C2×D79)⋊C4C2311yescharacteristic
308C2×(C2×D79)⋊C4C2311yescharacteristic
309C2×(C2×D79)⋊C4C2311yescharacteristic
310C2×(C2×D79)⋊C4C2311yescharacteristic
311C2×(C2×D79)⋊C4C2311yescharacteristic
312C2×(C2×D79)⋊C4C2311yescharacteristic
313C2×(C2×D79)⋊C4C2311yescharacteristic
314C2×(C2×D79)⋊C4C2311yescharacteristic
315C2×(C2×D79)⋊C4C2311yescharacteristic
316C2×(C2×D79)⋊C4C2311yescharacteristic
317C2×(C2×D79)⋊C4C2311yescharacteristic
318C2×C4×Dic79—24no—
319C2×C4×Dic79C2311yescharacteristic
320C2×C4×Dic79C2311yescharacteristic
321C2×C4×Dic79C2311yescharacteristic
322C2×C4×Dic79C2311yescharacteristic
323C2×C4×Dic79C2311yescharacteristic
324C2×C4×Dic79C2311yescharacteristic
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
350C79⋊#95C2311yescharacteristic
351C22×D4×C79C2311yescharacteristic
352C23×C4×C79C2311yescharacteristic
353C23×C4×C79C2311yescharacteristic
354C23×C4×C79C2311yescharacteristic
355C23×C4×C79C2311yescharacteristic
356C23×C4×C79C2311yescharacteristic
357C23×C4×C79C2311yescharacteristic
358C4×D4×C79—24no—
359C4×D4×C79—24no—
360C4×D4×C79D418yescomplemented
361C2×C4⋊C4×C79C2311yescharacteristic
362C2×C4⋊C4×C79C2311yescharacteristic
363C2×C4⋊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×C42×C79—42no—
371C2×C42×C79—42no—
372C2×C42×C79C2311yescharacteristic
373C2×C42×C79C2311yescharacteristic
374C2×C42×C79C2311yescharacteristic
375C2×C42×C79C2311yescharacteristic
376C2×C42×C79C2311yescharacteristic
377C2×C42×C79C2311yescharacteristic
378C2×C42×C79C2311yescharacteristic
379C2×C42×C79C2311yescharacteristic
380C2×C42×C79C2311yescharacteristic
381C2×C42×C79C2311yescharacteristic
382C2×C42×C79C2311yescharacteristic
383C2×C42×C79C2311yescharacteristic
384C2×C42×C79C2311yescharacteristic
385#95×C79C2311yescharacteristic
386#95×C79C2311yescharacteristic
387#95×C79C2311yescharacteristic
388#95×C79C2311yescharacteristic
389#95×C79C2311yescharacteristic
390#95×C79C2311yescharacteristic
391C23×D79—22no—
392C23×D79—22no—
393C23×D79—22no—
394C23×D79—22no—
395C23×D79—22no—
396C23×D79—41no—
397C23×D79—41no—
398C23×D79C2411yescharacteristic
399C23×D79C2411yescharacteristic
400C23×D79C2411yescharacteristic
401C23×D79C2411yescharacteristic
402#11929624—416no—
403C2×Dic158—22no—
404C2×Dic158—22no—
405C2×Dic158—22no—
406C2×Dic158—22no—
407C2×Dic158—41no—
408C2×Dic158—41no—
409C2×D316—22no—
410C2×D316—22no—
411C2×D316—22no—
412C2×D316—22no—
413C2×D316—22no—
414C2×D316—22no—
415C2×D316—22no—
416C2×D316—22no—
417C2×D316—22no—
418C2×D316—41no—
419C2×D316—41no—
420C2×D316—41no—
421C2×D316—41no—
422C2×D316—41no—
423C2×D316—41no—
424C2×C22⋊D79—22no—
425C2×C22⋊D79—22no—
426C2×C22⋊D79—22no—
427C2×C22⋊D79—22no—
428C2×C22⋊D79—22no—
429C2×C22⋊D79—22no—
430C2×C22⋊D79—22no—
431C2×C22⋊D79—22no—
432C2×C22⋊D79—22no—
433C2×C22⋊D79—22no—
434C2×C22⋊D79—22no—
435C2×C22⋊D79—22no—
436C2×C22⋊D79—22no—
437C2×C22⋊D79—22no—
438C2×C22⋊D79—41no—
439C2×C22⋊D79—41no—
440C2×C22⋊D79—41no—
441C2×C22⋊D79—41no—
442C22×Dic79—22no—
443C22×Dic79—22no—
444C22×Dic79—22no—
445C22×Dic79—22no—
446C22×Dic79—22no—
447C22×Dic79—22no—
448C22×Dic79—22no—
449C22×Dic79—41no—
450C22×Dic79—41no—
451C22×Dic79C2411yescharacteristic
452C22×Dic79C2411yescharacteristic
453C22×Dic79C2411yescharacteristic
454C22×Dic79C2411yescharacteristic
455C22×Dic79C2411yescharacteristic
456C22×Dic79C2411yescharacteristic
457C22×Dic79C2411yescharacteristic
458C22×Dic79C2411yescharacteristic
459C22×Dic79C2411yescharacteristic
460C22×Dic79C2411yescharacteristic
461C22×Dic79C2411yescharacteristic
462C22×Dic79C2411yescharacteristic
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—22no—
471C2×C4×D79—22no—
472C2×C4×D79—22no—
473C2×C4×D79—22no—
474C2×C4×D79—22no—
475C2×C4×D79—22no—
476C2×C4×D79—22no—
477C2×C4×D79—22no—
478C2×C4×D79—41no—
479C2×C4×D79—41no—
480C2×C4×D79—416no—
481C2×C4×D79#4114yes—
482C4⋊Dic79—22no—
483C4⋊Dic79—22no—
484C4⋊Dic79—22no—
485C4⋊Dic79—22no—
486C4⋊Dic79—22no—
487C4⋊Dic79—22no—
488C4⋊Dic79—22no—
489C4⋊Dic79—22no—
490C4⋊Dic79—22no—
491C4⋊Dic79—41no—
492C4⋊Dic79—41no—
493C4⋊Dic79—41no—
494C4⋊Dic79—41no—
495Dic79⋊C4—22no—
496Dic79⋊C4—22no—
497Dic79⋊C4—22no—
498Dic79⋊C4—22no—
499Dic79⋊C4—22no—
500Dic79⋊C4—22no—
501Dic79⋊C4—22no—
502Dic79⋊C4—22no—
503Dic79⋊C4—22no—
504Dic79⋊C4—22no—
505C22⋊Dic79—22no—
506C22⋊Dic79—22no—
507C22⋊Dic79—22no—
508C22⋊Dic79—22no—
509C22⋊Dic79—22no—
510C22⋊Dic79—22no—
511(C2×D79)⋊C4—22no—
512(C2×D79)⋊C4—22no—
513(C2×D79)⋊C4—22no—
514(C2×D79)⋊C4—22no—
515(C2×D79)⋊C4—22no—
516(C2×D79)⋊C4—22no—
517(C2×D79)⋊C4—22no—
518(C2×D79)⋊C4—22no—
519(C2×D79)⋊C4—22no—
520(C2×D79)⋊C4—22no—
521(C2×D79)⋊C4—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—22no—
538(C2×D79)⋊C4—22no—
539(C2×D79)⋊C4—22no—
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#4114yescomplemented
547C4×Dic79—22no—
548C4×Dic79—22no—
549C4×Dic79—22no—
550C4×Dic79—22no—
551C4×Dic79—22no—
552C4×Dic79—22no—
553C24×C79C2411yescharacteristic
554C24×C79C2411yescharacteristic
555C2×D4×C79—22no—
556C2×D4×C79—22no—
557C2×D4×C79C2×D414yes—
558C22×C4×C79—22no—
559C22×C4×C79—22no—
560C22×C4×C79—22no—
561C22×C4×C79—22no—
562C22×C4×C79—22no—
563C22×C4×C79—22no—
564C22×C4×C79—22no—
565C22×C4×C79—22no—
566C22×C4×C79—22no—
567C22×C4×C79—41no—
568C22×C4×C79—41no—
569C22×C4×C79—41no—
570C22×C4×C79—41no—
571C22×C4×C79—41no—
572C22×C4×C79—41no—
573C22×C4×C79C2×D414yes—
574C22×C4×C79C2×D414yes—
575C22×C4×C79#4114yescomplemented
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
586C22×C4×C79C2411yescharacteristic
587C22×C4×C79C2411yescharacteristic
588C22×C4×C79C2411yescharacteristic
589C4⋊C4×C79—22no—
590C4⋊C4×C79—22no—
591C4⋊C4×C79C2×D414yes—
592C22⋊C4×C79—22no—
593C22⋊C4×C79—22no—
594C22⋊C4×C79—22no—
595C22⋊C4×C79C2×D414yes—
596C22⋊C4×C79C2×D414yes—
597C22⋊C4×C79#4114yescomplemented
598C42×C79—22no—
599C42×C79—22no—
600C42×C79—22no—
601C42×C79—22no—
602C42×C79—22no—
603C42×C79—22no—
604C42×C79—22no—
605C42×C79—41no—
606C42×C79—41no—
607C42×C79—41no—
608C42×C79—41no—
609C42×C79—41no—
610C42×C79C2×D414yes—
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×C79C22×D412yes—
622C23×C79C22×D412yes—
623C23×C79C2×#4112yes—
624C23×C79C2×#4112yes—
625C23×C79C2511yescharacteristic
626C22×D79—28no—
627C22×D79—21no—
628C22×D79—21no—
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—21no—
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—44no—
654C22×D79—44no—
655C22×D79—44no—
656C22×D79—44no—
657C22×D79—44no—
658C22×D79—44no—
659C22×D79C2×#4112yes—
660C22×D79C2×#4112yes—
661D4×C79—28no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—28no—
681C2×C4×C79—28no—
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—44no—
692C2×C4×C79—44no—
693C2×C4×C79—44no—
694C2×C4×C79—44no—
695C2×C4×C79C22×D412yes—
696C2×C4×C79C22×D412yes—
697C2×C4×C79C22×D412yes—
698C2×C4×C79C22×D412yes—
699C2×C4×C79C22×D412yes—
700C2×C4×C79C2×#4112yes—
701C2×C4×C79C2×#4112yes—
702C2×C4×C79C2×#4112yes—
703C2×C4×C79C2×#4112yes—
704C2×C4×C79C2×#4112yes—
705C2×C4×C79C2×#4112yes—
706C2×C4×C79H(5,𝔽2)12yes—
707C22⋊D79—44no—
708C22⋊D79—44no—
709C22⋊D79—44no—
710C22⋊D79—44no—
711C22⋊D79—44no—
712C22⋊D79—44no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
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—21no—
745C2×Dic79—21no—
746C2×Dic79—21no—
747C2×Dic79—44no—
748C2×Dic79—44no—
749C2×Dic79—44no—
750C2×Dic79C2×#4112yes—
751C2×Dic79C2×#4112yes—
752D316—44no—
753D316—44no—
754D316—44no—
755D316—44no—
756D316—44no—
757C4×D79—28no—
758C4×D79—44no—
759C4×D79—44no—
760C4×D79—44no—
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—41no—
775C22×C79—41no—
776C22×C79—41no—
777C22×C79—41no—
778C22×C79#53214yes—
779C22×C79C23×D411yescharacteristic
780C22×C79C22×#4111yescharacteristic
781C22×C79C22×#4111yescharacteristic
782C22×C79C22×#4111yescharacteristic
783C22×C79C22×#4111yescharacteristic
784C22×C79C2×H(5,𝔽2)11yescharacteristic
785C22×C79#58511yescharacteristic
786C2×D79—22no—
787C2×D79—22no—
788C2×D79—22no—
789C2×D79—22no—
790C2×D79—22no—
791C2×D79—22no—
792C2×D79—416no—
793C2×D79—41no—
794C2×D79—41no—
795C2×D79—41no—
796C2×D79—41no—
797C2×D79—41no—
798C2×D79—41no—
799C2×D79—41no—
800C2×D79—41no—
801C2×D79—41no—
802C2×D79—41no—
803C2×D79—41no—
804C2×D79—41no—
805C2×D79—41no—
806C2×D79—41no—
807C2×D79—41no—
808C2×D79—41no—
809C2×D79—41no—
810C2×D79—41no—
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—22no—
822C4×C79—22no—
823C4×C79—22no—
824C4×C79—41no—
825C4×C79—41no—
826C4×C79—41no—
827C4×C79#54614yes—
828Dic79—22no—
829Dic79—22no—
830Dic79—41no—
831Dic79—41no—
832Dic79—41no—
833Dic79—41no—
834Dic79—41no—
835Dic79—41no—
836Dic79—41no—
837Dic79—41no—
838Dic79—41no—
839Dic79—41no—
840#34829—791nomaximal, Sylow
841C2×C79—24no—
842C2×C79—42no—
843C2×C79C2×#53211yescharacteristic
844C2×C79#344411yescharacteristic
845C2×C79#345911yescharacteristic
846C2×C79C2×#54611yescharacteristic
847C2×C79D4×#4111yescharacteristic
848C2×C79#347511yescharacteristic
849C2×C79#348111yescharacteristic
850D79—42no—
851D79—42no—
852D79—81no—
853D79—81no—
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#2539—791no—
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×D4D7911yescharacteristic, complemented
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×#123—791no—
899C2×#123—791no—
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×#121—791no—
908C2×#120—791no—
909C2×#120—791no—
910C2×#120—791no—
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×D4C2×D7911yescharacteristic
921C2×C4×D4C2×D7911yescharacteristic
922C2×C4×D4C2×D7911yescharacteristic
923C2×#117—791no—
924C2×#117—791no—
925C2×#117—791no—
926C22×C22⋊C4—791no—
927C22×C22⋊C4—791no—
928C22×C42—791no—
929C22×C42C2×D7911yescharacteristic
930C22×C42C2×D7911yescharacteristic, complemented
931#400—791no—
932#400—791no—
933#399—791no—
934#399—791no—
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#392—791no—
962#392—791no—
963#391—791no—
964#391—791no—
965#391—791no—
966#390—791no—
967#390—791no—
968#390—791no—
969#390—791no—
970#390—791no—
971#390—791no—
972#390—791no—
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⋊C4C2×D7911yescharacteristic, complemented
1018C4×C4⋊C4C2×D7911yescharacteristic, complemented
1019C4×C4⋊C4C2×D7911yescharacteristic, complemented
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⋊C4C2×D7911yescharacteristic
1035C4×C22⋊C4C2×D7911yescharacteristic
1036C4×C22⋊C4C2×D7911yescharacteristic
1037C4×C22⋊C4C2×D7911yescharacteristic, complemented
1038C4×C22⋊C4C2×D7911yescharacteristic, complemented
1039C4×C22⋊C4C2×D7911yescharacteristic, complemented
1040C2×#95—791no—
1041C2×#95—791no—
1042C43C2×D7911yescharacteristic, complemented
1043C25—791no—
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×D4—791no—
1055C22×D4—791no—
1056C22×D4—791no—
1057C22×D4—791no—
1058C22×D4—791no—
1059C22×D4—791no—
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—1584no—
1072C23×C4—1584no—
1073C23×C4C22×D7911yescharacteristic
1074C23×C4C22×D7911yescharacteristic
1075C23×C4C22×D7911yescharacteristic
1076C23×C4C22×D7911yescharacteristic
1077C23×C4C22×D7911yescharacteristic
1078C23×C4C22×D7911yescharacteristic
1079#126—1584no—
1080#126—1584no—
1081#125—1584no—
1082#124—1584no—
1083#124—1584no—
1084#123—1584no—
1085#123—1584no—
1086#123—1584no—
1087#123—1584no—
1088#123—1584no—
1089C22⋊Q8—1584no—
1090C22⋊Q8—1584no—
1091C22⋊Q8—1584no—
1092#121—1584no—
1093#121—1584no—
1094#121—1584no—
1095#121—1584no—
1096#121—1584no—
1097#120—1584no—
1098#120—1584no—
1099#120—1584no—
1100C4×Q8—1584no—
1101C4×D4—24no—
1102C4×D4—24no—
1103C4×D4—3162no—
1104C4×D4—3162no—
1105C4×D4—1584no—
1106C4×D4—1584no—
1107C4×D4—1584no—
1108C4×D4—1584no—
1109C4×D4—1584no—
1110C4×D4—1584no—
1111C4×D4D31618yescomplemented
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⋊C4—791no—
1137C2×C4⋊C4—791no—
1138C2×C4⋊C4C22×D7911yescharacteristic
1139C2×C4⋊C4C22×D7911yescharacteristic
1140C2×C4⋊C4C22×D7911yescharacteristic
1141C2×C22⋊C4—791no—
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—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—1584no—
1184C2×C22⋊C4—1584no—
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—42no—
1192C2×C42—42no—
1193C2×C42—791no—
1194C2×C42—791no—
1195C2×C42—791no—
1196C2×C42—791no—
1197C2×C42—791no—
1198C2×C42—791no—
1199C2×C42—1584no—
1200C2×C42C22×D7911yescharacteristic
1201C2×C42C22×D7911yescharacteristic
1202C2×C42C22×D7911yescharacteristic
1203C2×C42C22×D7911yescharacteristic
1204C2×C42C22×D7911yescharacteristic
1205C2×C42C22×D7911yescharacteristic
1206C2×C42C22×D7911yescharacteristic
1207C2×C42C22×D7911yescharacteristic
1208C2×C42C22×D7911yescharacteristic
1209C2×C42C22×D7911yescharacteristic
1210C2×C42C22×D7911yescharacteristic
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#95C22×D7911yescharacteristic
1240#95C22×D7911yescharacteristic
1241#95C22×D7911yescharacteristic
1242#95C22×D7911yescharacteristic
1243#95C22×D7911yescharacteristic
1244#95C22×D7911yescharacteristic
1245C24—3161no—
1246C24—3161no—
1247C24—791no—
1248C24—791no—
1249C24—791no—
1250C24—791no—
1251C24—1582no—
1252C24—1582no—
1253C24—1582no—
1254C24—1582no—
1255C24—1582no—
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—3161no—
1268C2×D4—3161no—
1269C2×D4—3161no—
1270C2×D4—3161no—
1271C2×D4—3161no—
1272C2×D4—3161no—
1273C2×D4—3161no—
1274C2×D4—3161no—
1275C2×D4—3161no—
1276C2×D4—3161no—
1277C2×D4—1582no—
1278C2×D4—1582no—
1279C2×D4—1582no—
1280C2×D4—1582no—
1281C2×D4—1582no—
1282C2×D4—1582no—
1283C2×D4—1582no—
1284C2×D4—1582no—
1285C2×D4—1582no—
1286C2×D4—1582no—
1287C2×D4—1582no—
1288C2×D4—1582no—
1289C2×D4—1582no—
1290C2×D4—1582no—
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×D4C2×D31614yes—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—31616no—
1317C22×C4—3161no—
1318C22×C4—3161no—
1319C22×C4—3161no—
1320C22×C4—3161no—
1321C22×C4—791no—
1322C22×C4—791no—
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—791no—
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×C4C2×D31614yes—
1357C22×C4C2×D31614yes—
1358C22×C4#1192962414yescomplemented
1359C22×C4C23×D7911yescharacteristic
1360C22×C4C23×D7911yescharacteristic
1361C22×C4C23×D7911yescharacteristic
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—3161no—
1375C4⋊C4—3161no—
1376C4⋊C4—3161no—
1377C4⋊C4—3161no—
1378C4⋊C4—1582no—
1379C4⋊C4—1582no—
1380C4⋊C4—1582no—
1381C4⋊C4—1582no—
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⋊C4C2×D31614yes—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—3161no—
1402C22⋊C4—3161no—
1403C22⋊C4—3161no—
1404C22⋊C4—3161no—
1405C22⋊C4—3161no—
1406C22⋊C4—3161no—
1407C22⋊C4—794no—
1408C22⋊C4—1582no—
1409C22⋊C4—1582no—
1410C22⋊C4—1582no—
1411C22⋊C4—1582no—
1412C22⋊C4—1582no—
1413C22⋊C4—1582no—
1414C22⋊C4—1582no—
1415C22⋊C4—1582no—
1416C22⋊C4—1582no—
1417C22⋊C4—1582no—
1418C22⋊C4—1582no—
1419C22⋊C4—1582no—
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⋊C4C2×D31614yes—
1444C22⋊C4C2×D31614yes—
1445C22⋊C4#1192962414yescomplemented
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—41no—
1454C42—41no—
1455C42—41no—
1456C42—41no—
1457C42—41no—
1458C42—1582no—
1459C42—1582no—
1460C42—1582no—
1461C42—1582no—
1462C42—1582no—
1463C42—1582no—
1464C42C2×D31614yes—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—3164no—
1476C23—3164no—
1477C23—3164no—
1478C23—3164no—
1479C23—3164no—
1480C23—3164no—
1481C23—792no—
1482C23—792no—
1483C23—1588no—
1484C23—1581no—
1485C23—1581no—
1486C23—1581no—
1487C23—1581no—
1488C23—1581no—
1489C23—1581no—
1490C23—1581no—
1491C23—1581no—
1492C23—1581no—
1493C23—1581no—
1494C23—1581no—
1495C23—1581no—
1496C23—1581no—
1497C23—1581no—
1498C23—1581no—
1499C23—1581no—
1500C23—1581no—
1501C23—1581no—
1502C23—1581no—
1503C23—1581no—
1504C23—1581no—
1505C23—1581no—
1506C23—1581no—
1507C23—1581no—
1508C23—1581no—
1509C23—1581no—
1510C23C22×D31612yes—
1511C23C22×D31612yes—
1512C23C2×#1192962412yes—
1513C23C2×#1192962412yes—
1514C23C24×D7911yescharacteristic
1515Q8—3164no—
1516Q8—3164no—
1517D4—28no—
1518D4—3164no—
1519D4—3164no—
1520D4—3164no—
1521D4—3164no—
1522D4—3164no—
1523D4—3164no—
1524D4—3164no—
1525D4—3164no—
1526D4—3164no—
1527D4—3164no—
1528D4—3164no—
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—28no—
1548C2×C4—28no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—3164no—
1563C2×C4—3164no—
1564C2×C4—3164no—
1565C2×C4—3164no—
1566C2×C4—3164no—
1567C2×C4—3164no—
1568C2×C4—3164no—
1569C2×C4—3164no—
1570C2×C4—792no—
1571C2×C4—792no—
1572C2×C4—1581no—
1573C2×C4—1581no—
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—1581no—
1602C2×C4—1581no—
1603C2×C4—1581no—
1604C2×C4—1581no—
1605C2×C4—1581no—
1606C2×C4—1588no—
1607C2×C4C22×D31612yes—
1608C2×C4C22×D31612yes—
1609C2×C4C22×D31612yes—
1610C2×C4C22×D31612yes—
1611C2×C4C22×D31612yes—
1612C2×C4#41×D7912yes—
1613C2×C4#41×D7912yes—
1614C2×C4C2×#1192962412yes—
1615C2×C4C2×#1192962412yes—
1616C2×C4C2×#1192962412yes—
1617C2×C4C2×#1192962412yes—
1618C2×C4#1457920612yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—31616no—
1633C22—3161no—
1634C22—3161no—
1635C22—3161no—
1636C22—3161no—
1637C22—3161no—
1638C22—3161no—
1639C22—3161no—
1640C22—3161no—
1641C22—3161no—
1642C22—3161no—
1643C22—3161no—
1644C22—3161no—
1645C22—3161no—
1646C22—3161no—
1647C22—3161no—
1648C22—3161no—
1649C22—3161no—
1650C22—3161no—
1651C22—3161no—
1652C22—3161no—
1653C22—3161no—
1654C22—3161no—
1655C22—1582no—
1656C22—1582no—
1657C22—1582no—
1658C22—1582no—
1659C22—1582no—
1660C22—1582no—
1661C22#1909911314yes—
1662C22C23×D31611yescharacteristic
1663C22C2×#41×D7911yescharacteristic
1664C22C2×#41×D7911yescharacteristic
1665C22C22×#1192962411yescharacteristic
1666C22C22×#1192962411yescharacteristic
1667C22C2×#1457920611yescharacteristic
1668C22#1909939911yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—3161no—
1682C4—3161no—
1683C4—3161no—
1684C4—3161no—
1685C4—3161no—
1686C4—3161no—
1687C4—3161no—
1688C4—3161no—
1689C4—3161no—
1690C4—3161no—
1691C4—1582no—
1692C4—1582no—
1693C4#1909920814yes—
1694C2—24no—
1695C2—42no—
1696C2—3162no—
1697C2—3162no—
1698C2—6321no—
1699C2—6321no—
1700C2C2×#1909911311yescharacteristic
1701C2#2377669311yescharacteristic
1702C2#2377680911yescharacteristic
1703C2C2×#1909920811yescharacteristic
1704C2#41×D31611yescharacteristic
1705C2#2377696211yescharacteristic
1706C2#2377700411yescharacteristic
subgroupG/H
centerC22×C4C23×D79
commutator, socle, cosocleC23×C79C25
FrattiniC23C24×D79
FittingC42×D4×C79C2
hypercenterC42×D4D79
hypocenterC79#34829
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C22×C4 ◁ C42×D4

Complements

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

NH ≅ G/Ntype
1. C2×#19099093C2semidirect
2. C2×#19099072C2semidirect
3. #23768538C2semidirect
4. #23768523C2semidirect
5. #23768508C2semidirect
6. #23768493C2semidirect
7. #23768478C2semidirect
8. #23768469C2semidirect
9. #23768454C2semidirect
10. #23768439C2semidirect
11. #23768406C2semidirect
12. #23768356C2semidirect
13. #23768326C2semidirect
14. #23768286C2semidirect
15. #23767720C2semidirect
16. #23767526C2semidirect
17. #23766945C2semidirect
18. #23766930C2semidirect
19. #23766672C2semidirect
20. #23766660C2semidirect
21. #23766640C2semidirect
22. #23766616C2semidirect
23. C4×#14579149C2semidirect
24. C4×#14579145C2semidirect
25. C4×#14579135C2semidirect
26. C4×#14579135C2semidirect
27. C4×#14579131C2semidirect
28. #23765890C2semidirect
29. #23765864C2semidirect
30. C2×C4×(C2×D79)⋊C4C2semidirect
31. C42×D4×C79C2semidirect
35. C2×#14579156C22semidirect
36. C2×#14579154C22semidirect
37. C2×#14579151C22semidirect
39. C2×#14579147C22semidirect
57. C2×C4×Dic158C22semidirect
61. C2×C4×D316C22semidirect
65. C2×C4×C22⋊D79C22semidirect
66. C2×#14579120C22semidirect
68. C2×#14579118C22semidirect
72. #19098503C22semidirect
73. #19098503C22semidirect
76. #19098495C22semidirect
77. #19098495C22semidirect
78. #19098493C22semidirect
79. #19098493C22semidirect
81. #19098490C22semidirect
82. #19098488C22semidirect
83. #19098488C22semidirect
87. #19098485C22semidirect
88. #19098484C22semidirect
89. #19098484C22semidirect
93. #19098480C22semidirect
97. #19098479C22semidirect
99. #19098476C22semidirect
103. #19098472C22semidirect
104. #19098469C22semidirect
105. #19098469C22semidirect
106. #19098469C22semidirect
113. #19098465C22semidirect
114. #19098461C22semidirect
115. #19098461C22semidirect
116. #19098461C22semidirect
117. #19098461C22semidirect
118. #19098455C22semidirect
119. #19098455C22semidirect
125. #19098454C22semidirect
126. #19098454C22semidirect
127. #19098454C22semidirect
128. #19098454C22semidirect
129. #19098454C22semidirect
130. #19098454C22semidirect
131. #19098454C22semidirect
132. #19098448C22semidirect
133. #19098448C22semidirect
139. #19098442C22semidirect
140. #19098442C22semidirect
141. #19098442C22semidirect
150. #19098429C22semidirect
153. #19098423C22semidirect
155. C4×C4⋊Dic79C22semidirect
156. C4×C4⋊Dic79C22semidirect
157. C4×C4⋊Dic79C22semidirect
168. C4×(C2×D79)⋊C4C22semidirect
169. C4×(C2×D79)⋊C4C22semidirect
170. C4×(C2×D79)⋊C4C22semidirect
171. C4×(C2×D79)⋊C4C22semidirect
178. C22×C42×C79C22semidirect
179. C4×C4⋊C4×C79C22semidirect
180. C4×C4⋊C4×C79C22semidirect
181. C4×C4⋊C4×C79C22semidirect
185. C4×C22⋊C4×C79C22semidirect
186. C4×C22⋊C4×C79C22semidirect
187. C4×C22⋊C4×C79C22semidirect
188. C43×C79C22semidirect
360. C4×D4×C79D4semidirect
546. (C2×D79)⋊C4#41semidirect
575. C22×C4×C79#41semidirect
597. C22⋊C4×C79#41semidirect
883. C42×D4D79semidirect
885. C79#34829semidirect
930. C22×C42C2×D79semidirect
1017. C4×C4⋊C4C2×D79semidirect
1018. C4×C4⋊C4C2×D79semidirect
1019. C4×C4⋊C4C2×D79semidirect
1037. C4×C22⋊C4C2×D79semidirect
1038. C4×C22⋊C4C2×D79semidirect
1039. C4×C22⋊C4C2×D79semidirect
1042. C43C2×D79semidirect
1111. C4×D4D316semidirect
1358. C22×C4#11929624semidirect
1445. C22⋊C4#11929624semidirect

Maximal subgroups

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

subgroupindex
C2×#190990932
C2×#190990722
#237685382
#237685232
#237685082
#237684932
#237684782
#237684692
#237684542
#237684392
#237684062
#237683562
#237683262
#237682862
#237677202
#237675262
#237669452
#237669302
#237666722
#237666602
#237666402
#237666162
C4×#145791492
C4×#145791452
C4×#145791352
C4×#145791312
#237658902
#237658642
C2×C4×(C2×D79)⋊C42
C42×D4×C792
#3482979