Finite Group Databasebeta

← C2×#23777030 #35196147

Subgroups — C2×#23777030 #35196147

Order 20224.

14438 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14579207C211yesmaximal, characteristic, complemented
2C23×D4×D79C211yesmaximal, characteristic, complemented
3#23777030C2132yesmaximal, direct product factor
4C2×#19099206C211yesmaximal, characteristic, complemented
5C2×#19099205C212yesmaximal, complemented
6C2×#19099204C211yesmaximal, characteristic, complemented
7C2×#19099203C212yesmaximal, complemented
8C2×#19099201C211yesmaximal, characteristic, complemented
9C2×D4×D316C211yesmaximal, characteristic, complemented
10C2×D4×D316C211yesmaximal, characteristic, complemented
11C2×#19099197C212yesmaximal, complemented
12C2×#19099197C211yesmaximal, characteristic, complemented
13C2×D4×C22⋊D79C211yesmaximal, characteristic, complemented
14C2×#19099195C212yesmaximal, complemented
15C2×#19099131C211yesmaximal, characteristic, complemented
16C2×#19099129C211yesmaximal, characteristic, complemented
17C2×#19099124C212yesmaximal, complemented
18C2×#19099121C212yesmaximal, complemented
19C2×#19099076C211yesmaximal, characteristic, complemented
20C2×#19099072C211yesmaximal, characteristic, complemented
21C22×#14579131C212yesmaximal, complemented
22C2×#120×D79C212yesmaximal, complemented
23C2×#19099035C211yesmaximal, characteristic, complemented
24C2×#546×C79C211yesmaximal, characteristic, complemented
25C25×D79C2212yescomplemented
26C2×#14579207—216no—
27C2×#14579207C22116yescomplemented
28C22×#11929625C2211yescharacteristic, complemented
29C22×#11929625C2211yescharacteristic, complemented
30C22×#11929624C2211yescharacteristic, complemented
31C22×#11929624C2212yescomplemented
32C23×D316C2211yescharacteristic, complemented
33C23×D316C2212yescomplemented
34C23×D316C2212yescomplemented
35C23×D316C2211yescharacteristic, complemented
36C23×C22⋊D79C2212yescomplemented
37C23×C22⋊D79C2212yescomplemented
38C22×D4×D79—216no—
39C22×D4×D79C2211yescharacteristic
40C22×D4×D79C2212yescomplemented
41C22×D4×D79C2211yescharacteristic, complemented
42C22×D4×D79C2211yescharacteristic, complemented
43C22×D4×D79C2212yescomplemented
44C22×D4×D79C2211yescharacteristic, complemented
45C22×D4×D79C2212yescomplemented
46C22×D4×D79C2212yescomplemented
47C22×D4×D79C2212yescomplemented
48C22×D4×D79C2211yescharacteristic, complemented
49C22×D4×D79C22116yescomplemented
50C22×D4×D79C2212yescomplemented
51C23×C4×D79C2211yescharacteristic, complemented
52#19099206C22116yescomplemented
53#19099205C22132yescomplemented
54#19099204C22116yescomplemented
55#19099203C22132yescomplemented
56#19099201C22116yescomplemented
57D4×D316C22116yescomplemented
58D4×D316C22116yescomplemented
59#19099197C22132yescomplemented
60#19099197C22116yescomplemented
61D4×C22⋊D79C22116yescomplemented
62#19099195C22132yescomplemented
63#19099131C22116yescomplemented
64#19099129C22116yescomplemented
65#19099124C22132yescomplemented
66#19099121C22132yescomplemented
67C2×#14579158C2211yescharacteristic, complemented
68C2×#14579157C2211yescharacteristic, complemented
69C2×#14579157C2212yescomplemented
70C2×#14579150C2211yescharacteristic, complemented
71C2×#14579147C2212yescomplemented
72#19099076C22116yescomplemented
73#19099072C22116yescomplemented
74C2×#14579146C2211yescharacteristic, complemented
75C2×#14579146C2212yescomplemented
76C2×#14579146C2212yescomplemented
77C2×#14579144C2212yescomplemented
78C2×#14579143C2211yescharacteristic, complemented
79C2×#14579143C2212yescomplemented
80C2×#14579139C2211yescharacteristic, complemented
81C2×#14579138C2211yescharacteristic, complemented
82C2×#14579137C2211yescharacteristic, complemented
83C2×#14579136C2211yescharacteristic, complemented
84C2×#14579136C2212yescomplemented
85C2×#14579136C2211yescharacteristic, complemented
86C2×#14579136C2212yescomplemented
87C2×#14579135C2211yescharacteristic, complemented
88C2×#14579135C2212yescomplemented
89C2×#14579135C2211yescharacteristic, complemented
90C2×#14579134C2211yescharacteristic, complemented
91C2×#14579134C2212yescomplemented
92C2×#14579134C2212yescomplemented
93C2×#14579134C2212yescomplemented
94C2×#14579134C2212yescomplemented
95C2×#14579133C2211yescharacteristic, complemented
96C2×#14579133C2212yescomplemented
97C2×#14579133C2212yescomplemented
98C2×#14579132C2211yescharacteristic, complemented
99C2×#14579131C2212yescomplemented
100C2×#14579131C2211yescharacteristic, complemented
101C2×#14579131C2212yescomplemented
102C2×#14579131C2212yescomplemented
103C2×#14579131C2212yescomplemented
104C2×#14579131C2212yescomplemented
105C2×#14579131C2212yescomplemented
106C2×#14579131C2212yescomplemented
107C2×#14579131C2212yescomplemented
108C2×#14579131C2212yescomplemented
109C2×#14579131C2212yescomplemented
110C2×#14579131C2212yescomplemented
111C2×#14579131C22132yescomplemented
112C2×#14579130C2212yescomplemented
113C2×#14579129C2211yescharacteristic, complemented
114C2×#14579129C2212yescomplemented
115C2×#14579129C2212yescomplemented
116C2×#14579129C2212yescomplemented
117C2×#14579129C2212yescomplemented
118#120×D79C22132yescomplemented
119#19099035C22116yescomplemented
120C2×C4×D316C2211yescharacteristic, complemented
121C2×C4×D316C2211yescharacteristic, complemented
122C2×D4×Dic79C2211yescharacteristic, complemented
123C2×#14579123C2212yescomplemented
124C2×#14579123C2211yescharacteristic, complemented
125C2×C4×C22⋊D79C2211yescharacteristic, complemented
126C2×C4×C22⋊D79C2211yescharacteristic, complemented
127C2×C4×C22⋊D79C2212yescomplemented
128C2×(C22⋊D79)⋊C4C2212yescomplemented
129C2×(C22⋊D79)⋊C4C2212yescomplemented
130C2×#14579119C2211yescharacteristic, complemented
131C2×#14579118C2211yescharacteristic, complemented
132C22×(C2×D79)⋊C4C2212yescomplemented
133C22×(C2×D79)⋊C4C2212yescomplemented
134C2×C22⋊C4×D79C2212yescomplemented
135C2×C22⋊C4×D79C2212yescomplemented
136C2×C22⋊C4×D79C2212yescomplemented
137C22×#41×C79C2211yescharacteristic, complemented
138C23×D4×C79C2211yescharacteristic, complemented
139#546×C79C22116yescomplemented
140C2×#124×C79C2211yescharacteristic, complemented
141C2×#123×C79C2212yescomplemented
142C2×C22⋊Q8×C79C2211yescharacteristic, complemented
143C2×#121×C79C2212yescomplemented
144C2×#121×C79C2211yescharacteristic, complemented
145C2×#120×C79C2212yescomplemented
146C2×C4×D4×C79C2211yescharacteristic, complemented
147C2×C4×D4×C79C2211yescharacteristic, complemented
148C22×C22⋊C4×C79C2212yescomplemented
149C24×D79—216no—
150C24×D79—48no—
151C24×D79—48no—
152C24×D79C2311yescharacteristic
153C24×D79C2312yes—
154C24×D79C2312yes—
155C24×D79C2312yes—
156C24×D79C2312yes—
157C24×D79C2312yes—
158C24×D79C23116yescomplemented
159C24×D79C2312yescomplemented
160C24×D79C2312yescomplemented
161#14579207—2128no—
162C2×#11929625—28no—
163C2×#11929625—28no—
164C2×#11929625C2318yescomplemented
165C2×#11929625C2318yescomplemented
166C2×#11929624—216no—
167C2×#11929624—28no—
168C2×#11929624C2318yescomplemented
169C2×#11929624C23116yescomplemented
170C22×Dic158C2311yescharacteristic, complemented
171C22×D316—216no—
172C22×D316—28no—
173C22×D316—28no—
174C22×D316—48no—
175C22×D316C2312yes—
176C22×D316C2311yescharacteristic
177C22×D316C2312yes—
178C22×D316C2311yescharacteristic
179C22×D316C2312yes—
180C22×D316C2311yescharacteristic
181C22×D316C2311yescharacteristic
182C22×D316C2318yescomplemented
183C22×D316C23116yescomplemented
184C22×D316C2318yescomplemented
185C22×D316C2312yescomplemented
186C22×D316C2312yescomplemented
187C22×D316C2311yescharacteristic, complemented
188C22×D316C23116yescomplemented
189C22×D316C2312yescomplemented
190C22×D316C2312yescomplemented
191C22×D316C2312yescomplemented
192C22×C22⋊D79—216no—
193C22×C22⋊D79—48no—
194C22×C22⋊D79C2312yes—
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2312yes—
199C22×C22⋊D79C2312yes—
200C22×C22⋊D79C2312yes—
201C22×C22⋊D79C2312yes—
202C22×C22⋊D79C23116yescomplemented
203C22×C22⋊D79C2312yescomplemented
204C22×C22⋊D79C2311yescharacteristic, complemented
205C22×C22⋊D79C2312yescomplemented
206C22×C22⋊D79C2312yescomplemented
207C22×C22⋊D79C2312yescomplemented
208C22×C22⋊D79C2312yescomplemented
209C22×C22⋊D79C23116yescomplemented
210C2×D4×D79—28no—
211C2×D4×D79—28no—
212C2×D4×D79—216no—
213C2×D4×D79—216no—
214C2×D4×D79—28no—
215C2×D4×D79—216no—
216C2×D4×D79—216no—
217C2×D4×D79—2128no—
218C2×D4×D79—28no—
219C2×D4×D79—48no—
220C2×D4×D79—48no—
221C2×D4×D79D4116yescomplemented
222C2×D4×D79C2318yes—
223C2×D4×D79C23116yescomplemented
224C2×D4×D79C2318yescomplemented
225C2×D4×D79C2318yescomplemented
226C2×D4×D79C23116yescomplemented
227C2×D4×D79C2318yescomplemented
228C2×D4×D79C23116yescomplemented
229C2×D4×D79C23116yescomplemented
230C2×D4×D79C2318yescomplemented
231C2×D4×D79C23116yescomplemented
232C2×D4×D79C23116yescomplemented
233C23×Dic79C2311yescharacteristic
234C23×Dic79C2312yescomplemented
235C22×C4×D79—28no—
236C22×C4×D79C2311yescharacteristic
237C22×C4×D79C2311yescharacteristic
238C22×C4×D79C2311yescharacteristic
239C22×C4×D79C2311yescharacteristic
240C22×C4×D79C2318yescomplemented
241C22×C4×D79C2312yescomplemented
242C22×C4×D79C2312yescomplemented
243C22×C4×D79C2311yescharacteristic, complemented
244C22×C4×D79C2312yescomplemented
245C22×C4×D79C2312yescomplemented
246#14579158C2318yescomplemented
247#14579157C23116yescomplemented
248#14579157C2318yescomplemented
249#14579150C2318yescomplemented
250#14579147C23116yescomplemented
251#14579146C2318yescomplemented
252#14579146C23116yescomplemented
253#14579146C23116yescomplemented
254#14579144C23116yescomplemented
255#14579143C2318yescomplemented
256#14579143C23116yescomplemented
257#14579139C2318yescomplemented
258#14579138C2318yescomplemented
259#14579137C2318yescomplemented
260#14579136C2318yescomplemented
261#14579136C23116yescomplemented
262#14579136C2318yescomplemented
263#14579136C23116yescomplemented
264#14579135C2318yescomplemented
265#14579135C23116yescomplemented
266#14579135C2318yescomplemented
267#14579134C2318yescomplemented
268#14579134C23116yescomplemented
269#14579134C23116yescomplemented
270#14579134C23116yescomplemented
271#14579134C23116yescomplemented
272#14579133C2318yescomplemented
273#14579133C23116yescomplemented
274#14579133C23116yescomplemented
275#14579132C2318yescomplemented
276#14579131C23116yescomplemented
277#14579131C2318yescomplemented
278#14579131C23116yescomplemented
279#14579131C23116yescomplemented
280#14579131C23116yescomplemented
281#14579131C23116yescomplemented
282#14579131C23116yescomplemented
283#14579131C23116yescomplemented
284#14579131C23116yescomplemented
285#14579131C23116yescomplemented
286#14579131C23116yescomplemented
287#14579131C23116yescomplemented
288#14579130C23116yescomplemented
289#14579129C2318yescomplemented
290#14579129C23116yescomplemented
291#14579129C23116yescomplemented
292#14579129C23116yescomplemented
293#14579129C23116yescomplemented
294C4×D316C2318yescomplemented
295C4×D316C2318yescomplemented
296D4×Dic79C2318yescomplemented
297#14579123C23116yescomplemented
298#14579123C2318yescomplemented
299C4×C22⋊D79C2318yescomplemented
300C4×C22⋊D79C2318yescomplemented
301C4×C22⋊D79C23116yescomplemented
302(C22⋊D79)⋊C4C23116yescomplemented
303(C22⋊D79)⋊C4C23116yescomplemented
304#14579119C2318yescomplemented
305#14579118C2318yescomplemented
306C2×C4⋊Dic79C2311yescharacteristic, complemented
307C2×C4⋊Dic79C2311yescharacteristic, complemented
308C2×Dic79⋊C4C2311yescharacteristic, complemented
309C2×Dic79⋊C4C2311yescharacteristic, complemented
310C2×Dic79⋊C4C2312yescomplemented
311C2×Dic79⋊C4C2311yescharacteristic, complemented
312C2×Dic79⋊C4C2311yescharacteristic, complemented
313C2×C22⋊Dic79C2311yescharacteristic
314C2×C22⋊Dic79C2312yescomplemented
315C2×C22⋊Dic79C2312yescomplemented
316C2×C22⋊Dic79C2311yescharacteristic, complemented
317C2×(C2×D79)⋊C4C2311yescharacteristic
318C2×(C2×D79)⋊C4C2311yescharacteristic
319C2×(C2×D79)⋊C4C2312yes—
320C2×(C2×D79)⋊C4C2312yes—
321C2×(C2×D79)⋊C4C2311yescharacteristic
322C2×(C2×D79)⋊C4C2311yescharacteristic
323C2×(C2×D79)⋊C4C23116yescomplemented
324C2×(C2×D79)⋊C4C23116yescomplemented
325C2×(C2×D79)⋊C4C2312yescomplemented
326C2×(C2×D79)⋊C4C2312yescomplemented
327C2×(C2×D79)⋊C4C2312yescomplemented
328C2×(C2×D79)⋊C4C2312yescomplemented
329C2×(C2×D79)⋊C4C2312yescomplemented
330C2×(C2×D79)⋊C4C2312yescomplemented
331C2×(C2×D79)⋊C4C2312yescomplemented
332C2×(C2×D79)⋊C4C2311yescharacteristic, complemented
333C2×(C2×D79)⋊C4C2312yescomplemented
334C2×(C2×D79)⋊C4C2311yescharacteristic, complemented
335C22⋊C4×D79C23116yescomplemented
336C22⋊C4×D79C23116yescomplemented
337C22⋊C4×D79C23116yescomplemented
338C2×C4×Dic79C2311yescharacteristic, complemented
339C2×C4×Dic79C2312yescomplemented
340C25×C79C2312yes—
341C2×#41×C79—28no—
342C2×#41×C79C2318yescomplemented
343C22×Q8×C79C2311yescharacteristic, complemented
344C22×D4×C79—28no—
345C22×D4×C79C2311yescharacteristic
346C22×D4×C79C2312yes—
347C22×D4×C79C2311yescharacteristic
348C22×D4×C79C2311yescharacteristic
349C22×D4×C79C2318yescomplemented
350C22×D4×C79C2312yescomplemented
351C22×D4×C79C2312yescomplemented
352C23×C4×C79C2311yescharacteristic
353C23×C4×C79C2312yescomplemented
354C23×C4×C79C2311yescharacteristic, complemented
355C23×C4×C79C2312yescomplemented
356#124×C79C2318yescomplemented
357#123×C79C23116yescomplemented
358C22⋊Q8×C79C2318yescomplemented
359#121×C79C23116yescomplemented
360#121×C79C2318yescomplemented
361#120×C79C23116yescomplemented
362C4×D4×C79C2318yescomplemented
363C4×D4×C79C2318yescomplemented
364C2×C4⋊C4×C79C2311yescharacteristic, complemented
365C2×C4⋊C4×C79C2311yescharacteristic, complemented
366C2×C4⋊C4×C79C2312yescomplemented
367C2×C22⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2312yes—
369C2×C22⋊C4×C79C23116yescomplemented
370C2×C22⋊C4×C79C2312yescomplemented
371C2×C22⋊C4×C79C2312yescomplemented
372C2×C22⋊C4×C79C2312yescomplemented
373C2×C22⋊C4×C79C2311yescharacteristic, complemented
374C2×C22⋊C4×C79C2312yescomplemented
375C2×C42×C79C2311yescharacteristic, complemented
376C23×D79—24no—
377C23×D79—24no—
378C23×D79—24no—
379C23×D79—28no—
380C23×D79—28no—
381C23×D79—28no—
382C23×D79—28no—
383C23×D79—28no—
384C23×D79—28no—
385C23×D79—264no—
386C23×D79—28no—
387C23×D79—28no—
388C23×D79—28no—
389C23×D79—432no—
390C23×D79—44no—
391C23×D79—44no—
392C23×D79—44no—
393C23×D79—44no—
394C23×D79—44no—
395C23×D79—44no—
396C23×D79—44no—
397C23×D79—432no—
398C23×D79—44no—
399C23×D79—44no—
400C23×D79—44no—
401C23×D79—44no—
402C23×D79—4128no—
403C23×D79C2×D4116yescomplemented
404C23×D79C2412yes—
405C23×D79C2414yes—
406C23×D79C2411yescharacteristic
407C23×D79C2412yes—
408C23×D79C2418yes—
409C23×D79C2418yes—
410C23×D79C2418yes—
411C23×D79C2411yescharacteristic
412C23×D79C2412yes—
413C23×D79C2411yescharacteristic
414C23×D79C2418yes—
415C23×D79C2418yes—
416C23×D79C2418yescomplemented
417C23×D79C2418yescomplemented
418#11929625—232no—
419#11929625—232no—
420#11929624—232no—
421#11929624—264no—
422C2×Dic158—24no—
423C2×Dic158C2414yescomplemented
424C2×D316—232no—
425C2×D316—232no—
426C2×D316—24no—
427C2×D316—28no—
428C2×D316—28no—
429C2×D316—28no—
430C2×D316—28no—
431C2×D316—264no—
432C2×D316—28no—
433C2×D316—24no—
434C2×D316—24no—
435C2×D316—24no—
436C2×D316—44no—
437C2×D316—44no—
438C2×D316—44no—
439C2×D316—432no—
440C2×D316C2×D418yescomplemented
441C2×D316C2414yes—
442C2×D316C2418yes—
443C2×D316C2418yes—
444C2×D316C2414yes—
445C2×D316C2418yes—
446C2×D316C2414yes—
447C2×D316C2414yes—
448C2×D316C2418yescomplemented
449C2×D316C2418yescomplemented
450C2×D316C2414yescomplemented
451C2×D316C2418yescomplemented
452C2×D316C2418yescomplemented
453C2×D316C2418yescomplemented
454C2×C22⋊D79—24no—
455C2×C22⋊D79—28no—
456C2×C22⋊D79—28no—
457C2×C22⋊D79—28no—
458C2×C22⋊D79—28no—
459C2×C22⋊D79—24no—
460C2×C22⋊D79—24no—
461C2×C22⋊D79—28no—
462C2×C22⋊D79—24no—
463C2×C22⋊D79—264no—
464C2×C22⋊D79—432no—
465C2×C22⋊D79—44no—
466C2×C22⋊D79—44no—
467C2×C22⋊D79—44no—
468C2×C22⋊D79—44no—
469C2×C22⋊D79C2×D4116yescomplemented
470C2×C22⋊D79C2414yes—
471C2×C22⋊D79C2418yes—
472C2×C22⋊D79C2414yes—
473C2×C22⋊D79C2414yes—
474C2×C22⋊D79C2418yes—
475C2×C22⋊D79C2418yes—
476C2×C22⋊D79C2418yes—
477C2×C22⋊D79C2418yes—
478C2×C22⋊D79C2418yescomplemented
479C2×C22⋊D79C2414yescomplemented
480C2×C22⋊D79C2418yescomplemented
481C2×C22⋊D79C2418yescomplemented
482C2×C22⋊D79C2418yescomplemented
483C2×C22⋊D79C2418yescomplemented
484D4×D79—232no—
485D4×D79—232no—
486D4×D79—264no—
487D4×D79—264no—
488D4×D79—232no—
489D4×D79—232no—
490D4×D79—264no—
491D4×D79—264no—
492D4×D79—432no—
493D4×D79—432no—
494D4×D79C2×D4164yescomplemented
495C22×Dic79—24no—
496C22×Dic79—44no—
497C22×Dic79C2411yescharacteristic
498C22×Dic79C2411yescharacteristic
499C22×Dic79C2412yes—
500C22×Dic79C2411yescharacteristic
501C22×Dic79C2411yescharacteristic
502C22×Dic79C2414yes—
503C22×Dic79C2411yescharacteristic
504C22×Dic79C2418yescomplemented
505C2×C4×D79—28no—
506C2×C4×D79—24no—
507C2×C4×D79—232no—
508C2×C4×D79—28no—
509C2×C4×D79—24no—
510C2×C4×D79—24no—
511C2×C4×D79—24no—
512C2×C4×D79—44no—
513C2×C4×D79—44no—
514C2×C4×D79C2×D418yescomplemented
515C2×C4×D79C2414yes—
516C2×C4×D79C2414yes—
517C2×C4×D79C2414yes—
518C2×C4×D79C2414yes—
519C2×C4×D79C2418yescomplemented
520C2×C4×D79C2418yescomplemented
521C2×C4×D79C2414yescomplemented
522C2×C4×D79C2418yescomplemented
523C2×C4×D79C2418yescomplemented
524C4⋊Dic79C2414yescomplemented
525C4⋊Dic79C2414yescomplemented
526Dic79⋊C4C2414yescomplemented
527Dic79⋊C4C2414yescomplemented
528Dic79⋊C4C2418yescomplemented
529Dic79⋊C4C2414yescomplemented
530Dic79⋊C4C2414yescomplemented
531C22⋊Dic79C2414yes—
532C22⋊Dic79C2418yescomplemented
533C22⋊Dic79C2418yescomplemented
534C22⋊Dic79C2414yescomplemented
535(C2×D79)⋊C4C2414yes—
536(C2×D79)⋊C4C2414yes—
537(C2×D79)⋊C4C2418yes—
538(C2×D79)⋊C4C2418yes—
539(C2×D79)⋊C4C2414yes—
540(C2×D79)⋊C4C2414yes—
541(C2×D79)⋊C4C2418yescomplemented
542(C2×D79)⋊C4C2418yescomplemented
543(C2×D79)⋊C4C2418yescomplemented
544(C2×D79)⋊C4C2418yescomplemented
545(C2×D79)⋊C4C2418yescomplemented
546(C2×D79)⋊C4C2418yescomplemented
547(C2×D79)⋊C4C2418yescomplemented
548(C2×D79)⋊C4C2414yescomplemented
549(C2×D79)⋊C4C2418yescomplemented
550(C2×D79)⋊C4C2414yescomplemented
551C4×Dic79C2414yescomplemented
552C4×Dic79C2418yescomplemented
553C24×C79—28no—
554C24×C79—28no—
555C24×C79—44no—
556C24×C79C2412yes—
557C24×C79C2411yescharacteristic
558C24×C79C2418yes—
559C24×C79C2412yes—
560C24×C79C2411yescharacteristic
561#41×C79—232no—
562C2×Q8×C79—24no—
563C2×Q8×C79C2414yescomplemented
564C2×D4×C79—28no—
565C2×D4×C79—28no—
566C2×D4×C79—24no—
567C2×D4×C79—232no—
568C2×D4×C79—24no—
569C2×D4×C79—44no—
570C2×D4×C79C2×D418yescomplemented
571C2×D4×C79C2414yes—
572C2×D4×C79C2418yes—
573C2×D4×C79C2414yes—
574C2×D4×C79C2414yes—
575C2×D4×C79C2418yescomplemented
576C2×D4×C79C2418yescomplemented
577C22×C4×C79—28no—
578C22×C4×C79—24no—
579C22×C4×C79—24no—
580C22×C4×C79—44no—
581C22×C4×C79C2411yescharacteristic
582C22×C4×C79C2411yescharacteristic
583C22×C4×C79C2411yescharacteristic
584C22×C4×C79C2412yes—
585C22×C4×C79C2412yes—
586C22×C4×C79C2411yescharacteristic
587C22×C4×C79C2414yes—
588C22×C4×C79C2411yescharacteristic
589C22×C4×C79C2418yescomplemented
590C22×C4×C79C2414yescomplemented
591C22×C4×C79C2418yescomplemented
592C4⋊C4×C79C2414yescomplemented
593C4⋊C4×C79C2414yescomplemented
594C4⋊C4×C79C2418yescomplemented
595C22⋊C4×C79C2414yes—
596C22⋊C4×C79C2418yes—
597C22⋊C4×C79C2418yescomplemented
598C22⋊C4×C79C2418yescomplemented
599C22⋊C4×C79C2418yescomplemented
600C22⋊C4×C79C2414yescomplemented
601C22⋊C4×C79C2418yescomplemented
602C42×C79C2414yescomplemented
603C23×C79—22no—
604C23×C79—24no—
605C23×C79—24no—
606C23×C79—22no—
607C23×C79—22no—
608C23×C79—216no—
609C23×C79—24no—
610C23×C79—22no—
611C23×C79—22no—
612C23×C79—24no—
613C23×C79—24no—
614C23×C79—216no—
615C23×C79—48no—
616C23×C79—432no—
617C23×C79C22×D418yes—
618C23×C79H(5,𝔽2)14yescomplemented
619C23×C79C2514yes—
620C23×C79C2512yes—
621C23×C79C2514yes—
622C23×C79C2512yes—
623C23×C79C2511yescharacteristic
624C22×D79—232no—
625C22×D79—22no—
626C22×D79—24no—
627C22×D79—24no—
628C22×D79—22no—
629C22×D79—22no—
630C22×D79—22no—
631C22×D79—28no—
632C22×D79—28no—
633C22×D79—28no—
634C22×D79—24no—
635C22×D79—22no—
636C22×D79—216no—
637C22×D79—24no—
638C22×D79—22no—
639C22×D79—24no—
640C22×D79—24no—
641C22×D79—24no—
642C22×D79—22no—
643C22×D79—24no—
644C22×D79—216no—
645C22×D79—216no—
646C22×D79—216no—
647C22×D79—216no—
648C22×D79—216no—
649C22×D79—216no—
650C22×D79—216no—
651C22×D79—216no—
652C22×D79—432no—
653C22×D79—48no—
654C22×D79—48no—
655C22×D79—48no—
656C22×D79—48no—
657C22×D79—48no—
658C22×D79—48no—
659C22×D79—48no—
660C22×D79—432no—
661C22×D79—48no—
662C22×D79—48no—
663C22×D79—48no—
664C22×D79—48no—
665C22×D79—432no—
666C22×D79—432no—
667C22×D79—4256no—
668C22×D79—432no—
669C22×D79—816no—
670C22×D79—816no—
671C22×D79C22×D414yes—
672C22×D79C22×D418yes—
673C22×D79C22×D4132yescomplemented
674C22×D79H(5,𝔽2)14yescomplemented
675C22×D79C2514yes—
676C22×D79C2512yes—
677C22×D79C2514yes—
678C22×D79C2512yes—
679C22×D79C2514yes—
680C22×D79C2512yes—
681Q8×C79—28no—
682D4×C79—216no—
683D4×C79—216no—
684D4×C79—28no—
685D4×C79—28no—
686D4×C79—48no—
687D4×C79C22×D4116yescomplemented
688C2×C4×C79—22no—
689C2×C4×C79—24no—
690C2×C4×C79—22no—
691C2×C4×C79—216no—
692C2×C4×C79—22no—
693C2×C4×C79—24no—
694C2×C4×C79—22no—
695C2×C4×C79—28no—
696C2×C4×C79—28no—
697C2×C4×C79—48no—
698C2×C4×C79C22×D414yes—
699C2×C4×C79C2514yes—
700C2×C4×C79C2512yes—
701C2×C4×C79C2512yes—
702C2×C4×C79C2514yes—
703C2×C4×C79C2512yes—
704C2×C4×C79C2512yes—
705C2×C4×C79C2512yes—
706C22⋊D79—216no—
707C22⋊D79—216no—
708C22⋊D79—216no—
709C22⋊D79—28no—
710C22⋊D79—216no—
711C22⋊D79—28no—
712C22⋊D79—28no—
713C22⋊D79—216no—
714C22⋊D79—28no—
715C22⋊D79—48no—
716C22⋊D79—48no—
717C22⋊D79—48no—
718C22⋊D79—48no—
719C22⋊D79C22×D4132yescomplemented
720C2×Dic79—22no—
721C2×Dic79—22no—
722C2×Dic79—22no—
723C2×Dic79—24no—
724C2×Dic79—22no—
725C2×Dic79—28no—
726C2×Dic79—48no—
727C2×Dic79C22×D414yes—
728C2×Dic79C2512yes—
729C2×Dic79C2514yes—
730C2×Dic79C2512yes—
731C2×Dic79C2512yes—
732C2×Dic79C2512yes—
733C2×Dic79C2512yes—
734D316—216no—
735D316—216no—
736D316—216no—
737D316—28no—
738D316—216no—
739D316—216no—
740D316—28no—
741D316—28no—
742D316—28no—
743D316—48no—
744D316—48no—
745D316—48no—
746D316C22×D4116yescomplemented
747C4×D79—28no—
748C4×D79—216no—
749C4×D79—28no—
750C4×D79—28no—
751C4×D79—28no—
752C4×D79—216no—
753C4×D79—48no—
754C4×D79—48no—
755C4×D79C22×D4116yescomplemented
756Dic158—28no—
757C22×C79—22no—
758C22×C79—24no—
759C22×C79—22no—
760C22×C79—24no—
761C22×C79—28no—
762C22×C79—216no—
763C22×C79—22no—
764C22×C79—24no—
765C22×C79—22no—
766C22×C79—22no—
767C22×C79—24no—
768C22×C79—24no—
769C22×C79—432no—
770C22×C79—48no—
771C22×C79—44no—
772C22×C79C23×D418yes—
773C22×C79C23×D412yes—
774C22×C79C2×H(5,𝔽2)12yes—
775C22×C79C2×H(5,𝔽2)12yes—
776C22×C79C2×H(5,𝔽2)14yescomplemented
777C22×C79C2611yescharacteristic
778C2×D79—232no—
779C2×D79—22no—
780C2×D79—22no—
781C2×D79—22no—
782C2×D79—22no—
783C2×D79—24no—
784C2×D79—24no—
785C2×D79—28no—
786C2×D79—28no—
787C2×D79—216no—
788C2×D79—24no—
789C2×D79—24no—
790C2×D79—22no—
791C2×D79—22no—
792C2×D79—24no—
793C2×D79—24no—
794C2×D79—24no—
795C2×D79—24no—
796C2×D79—22no—
797C2×D79—432no—
798C2×D79—432no—
799C2×D79—432no—
800C2×D79—432no—
801C2×D79—432no—
802C2×D79—48no—
803C2×D79—44no—
804C2×D79—48no—
805C2×D79—816no—
806C2×D79—816no—
807C2×D79C23×D418yes—
808C2×D79C23×D414yes—
809C2×D79C2×H(5,𝔽2)14yescomplemented
810C4×C79—22no—
811C4×C79—22no—
812C4×C79—24no—
813C4×C79—22no—
814C4×C79—24no—
815C4×C79—22no—
816C4×C79C23×D414yes—
817Dic79—22no—
818Dic79—22no—
819Dic79—22no—
820Dic79—24no—
821Dic79—22no—
822Dic79C23×D414yes—
823C2×#3484—791nomaximal, Sylow
824C2×C79—24no—
825C2×C79—28no—
826C2×C79—44no—
827C2×C79—42no—
828C2×C79#348414yescomplemented
829C2×C79C24×D411yescharacteristic
830C2×C79C22×H(5,𝔽2)11yescharacteristic
831C2×C79C22×H(5,𝔽2)11yescharacteristic
832D79—24no—
833D79—24no—
834D79—28no—
835D79—44no—
836D79—42no—
837D79—44no—
838C22×H(5,𝔽2)—791no—
839C24×D4—791no—
840#3484—7932no—
841C2×#546—791no—
842C2×#546—791no—
843C2×#546—792no—
844C2×#546—791no—
845C2×#546—792no—
846C2×#546D7911yescharacteristic, complemented
847C2×D42—791no—
848C2×D42—792no—
849C2×D42—791no—
850C2×D42—792no—
851C2×D42—791no—
852C2×D42—791no—
853C2×#535—791no—
854C2×#535—791no—
855C2×#534—792no—
856C2×#534—792no—
857C2×#525—791no—
858C2×#525—791no—
859C22×#120—792no—
860C22×#120—792no—
861C2×#518—791no—
862C79C2×#348411yescharacteristic, complemented, Sylow
863C26—792no—
864C2×H(5,𝔽2)—7916no—
865C2×H(5,𝔽2)—15816no—
866C22×#41—791no—
867C22×#41—791no—
868C22×#41—791no—
869C22×#41—792no—
870C22×#41C2×D7911yescharacteristic, complemented
871C23×D4—792no—
872C23×D4—792no—
873C23×D4—792no—
874C23×D4—791no—
875C23×D4—792no—
876C23×D4—792no—
877C23×D4—791no—
878C23×D4—792no—
879C23×D4—791no—
880C23×D4—791no—
881C23×D4—791no—
882C23×D4—7916no—
883C23×D4—792no—
884C23×D4—792no—
885C23×D4—791no—
886C23×D4—792no—
887C23×D4—792no—
888C23×D4—791no—
889C23×D4—15816no—
890C23×D4C2×D7911yescharacteristic, complemented
891C24×C4—791no—
892#546—7916no—
893#546—7916no—
894#546—7932no—
895#546—7916no—
896#546—7932no—
897#546C2×D79116yescomplemented
898D42—7916no—
899D42—7932no—
900D42—7916no—
901D42—7932no—
902D42—7916no—
903D42—7916no—
904#535—7916no—
905#535—7916no—
906#534—7932no—
907#534—7932no—
908C2×#127—791no—
909C2×#127—792no—
910C2×#127—791no—
911C2×#124—791no—
912C2×#124—792no—
913C2×#124C2×D7911yescharacteristic, complemented
914#525—7916no—
915#525—7916no—
916C2×#123—792no—
917C2×#123—792no—
918C2×#123—791no—
919C2×#123—792no—
920C2×#123—791no—
921C2×#123—792no—
922C2×#123C2×D7912yescomplemented
923C2×C22⋊Q8—791no—
924C2×C22⋊Q8—791no—
925C2×C22⋊Q8—791no—
926C2×C22⋊Q8C2×D7911yescharacteristic, complemented
927C2×#121—791no—
928C2×#121—792no—
929C2×#121—791no—
930C2×#121—792no—
931C2×#121—791no—
932C2×#121—792no—
933C2×#121—791no—
934C2×#121—791no—
935C2×#121—792no—
936C2×#121—792no—
937C2×#121—791no—
938C2×#121—791no—
939C2×#121—792no—
940C2×#121—792no—
941C2×#121—792no—
942C2×#121—792no—
943C2×#121C2×D7912yescomplemented
944C2×#121C2×D7911yescharacteristic, complemented
945C2×#120—792no—
946C2×#120—791no—
947C2×#120—792no—
948C2×#120—792no—
949C2×#120—792no—
950C2×#120—792no—
951C2×#120—7932no—
952C2×#120—792no—
953C2×#120—791no—
954C2×#120—792no—
955C2×#120—792no—
956C2×#120—792no—
957C2×#120—792no—
958C2×#120—792no—
959C2×#120—792no—
960C2×#120—792no—
961C2×#120—792no—
962C2×#120—7932no—
963C2×#120—792no—
964C2×#120—792no—
965C2×#120C2×D7912yescomplemented
966#518—7916no—
967C2×C4×D4—791no—
968C2×C4×D4—791no—
969C2×C4×D4—792no—
970C2×C4×D4—791no—
971C2×C4×D4—791no—
972C2×C4×D4—792no—
973C2×C4×D4—792no—
974C2×C4×D4—792no—
975C2×C4×D4—791no—
976C2×C4×D4—791no—
977C2×C4×D4C2×D7911yescharacteristic, complemented
978C2×C4×D4C2×D7911yescharacteristic, complemented
979C2×#117—791no—
980C2×#117—791no—
981C22×C22⋊C4—792no—
982C22×C22⋊C4—792no—
983C22×C22⋊C4—792no—
984C22×C22⋊C4—792no—
985C22×C22⋊C4—792no—
986C22×C22⋊C4C2×D7912yescomplemented
987C25—3168no—
988C25—3168no—
989C25—792no—
990C25—792no—
991C25—7916no—
992C25—792no—
993C25—792no—
994C25—792no—
995C25—792no—
996C25—792no—
997C25—791no—
998C25—15816no—
999C25C22×D7912yes—
1000H(5,𝔽2)—158128no—
1001C2×#41—28no—
1002C2×#41—798no—
1003C2×#41—798no—
1004C2×#41—798no—
1005C2×#41—7916no—
1006C2×#41—1588no—
1007C2×#41—15816no—
1008C2×#41—1588no—
1009C2×#41—1588no—
1010C2×#41C22×D7918yescomplemented
1011C22×Q8—791no—
1012C22×Q8C22×D7911yescharacteristic, complemented
1013C22×D4—28no—
1014C22×D4—3168no—
1015C22×D4—3168no—
1016C22×D4—3168no—
1017C22×D4—3168no—
1018C22×D4—792no—
1019C22×D4—792no—
1020C22×D4—792no—
1021C22×D4—792no—
1022C22×D4—7916no—
1023C22×D4—7916no—
1024C22×D4—7916no—
1025C22×D4—792no—
1026C22×D4—7916no—
1027C22×D4—798no—
1028C22×D4—791no—
1029C22×D4—791no—
1030C22×D4—792no—
1031C22×D4—791no—
1032C22×D4—792no—
1033C22×D4—792no—
1034C22×D4—792no—
1035C22×D4—792no—
1036C22×D4—791no—
1037C22×D4—7916no—
1038C22×D4—7916no—
1039C22×D4—798no—
1040C22×D4—798no—
1041C22×D4—7916no—
1042C22×D4—798no—
1043C22×D4—798no—
1044C22×D4—7916no—
1045C22×D4—7916no—
1046C22×D4—792no—
1047C22×D4—792no—
1048C22×D4—792no—
1049C22×D4—791no—
1050C22×D4—792no—
1051C22×D4—791no—
1052C22×D4—792no—
1053C22×D4—791no—
1054C22×D4—792no—
1055C22×D4—792no—
1056C22×D4—792no—
1057C22×D4—791no—
1058C22×D4—791no—
1059C22×D4—798no—
1060C22×D4—7916no—
1061C22×D4—7916no—
1062C22×D4—798no—
1063C22×D4—1588no—
1064C22×D4—1588no—
1065C22×D4—15816no—
1066C22×D4—1588no—
1067C22×D4—15816no—
1068C22×D4—158128no—
1069C22×D4—1588no—
1070C22×D4—15816no—
1071C22×D4—15816no—
1072C22×D4—15816no—
1073C22×D4—15816no—
1074C22×D4—1588no—
1075C22×D4—1588no—
1076C22×D4C22×D7911yescharacteristic
1077C22×D4C22×D7912yes—
1078C22×D4C22×D7911yescharacteristic
1079C22×D4C22×D7911yescharacteristic
1080C22×D4C22×D7918yescomplemented
1081C22×D4C22×D7912yescomplemented
1082C22×D4C22×D7912yescomplemented
1083C23×C4—792no—
1084C23×C4—792no—
1085C23×C4—792no—
1086C23×C4—791no—
1087C23×C4—791no—
1088C23×C4—792no—
1089C23×C4—792no—
1090C23×C4—791no—
1091C23×C4—791no—
1092C23×C4—791no—
1093C23×C4—791no—
1094C23×C4—798no—
1095C23×C4—1588no—
1096C23×C4C22×D7911yescharacteristic
1097C23×C4C22×D7912yescomplemented
1098C23×C4C22×D7911yescharacteristic, complemented
1099C23×C4C22×D7912yescomplemented
1100#127—798no—
1101#127—7916no—
1102#127—798no—
1103#124—798no—
1104#124—7916no—
1105#124C22×D7918yescomplemented
1106#123—7916no—
1107#123—7916no—
1108#123—798no—
1109#123—7916no—
1110#123—798no—
1111#123—7916no—
1112#123C22×D79116yescomplemented
1113C22⋊Q8—798no—
1114C22⋊Q8—798no—
1115C22⋊Q8—798no—
1116C22⋊Q8C22×D7918yescomplemented
1117#121—798no—
1118#121—7916no—
1119#121—798no—
1120#121—7916no—
1121#121—798no—
1122#121—7916no—
1123#121—798no—
1124#121—798no—
1125#121—7916no—
1126#121—7916no—
1127#121—798no—
1128#121—798no—
1129#121—7916no—
1130#121—7916no—
1131#121—7916no—
1132#121—7916no—
1133#121C22×D79116yescomplemented
1134#121C22×D7918yescomplemented
1135#120—7916no—
1136#120—798no—
1137#120—7916no—
1138#120—7916no—
1139#120—7916no—
1140#120—7916no—
1141#120—7916no—
1142#120—798no—
1143#120—7916no—
1144#120—7916no—
1145#120—7916no—
1146#120—7916no—
1147#120—7916no—
1148#120—7916no—
1149#120—7916no—
1150#120—7916no—
1151#120—7916no—
1152#120—7916no—
1153#120C22×D79116yescomplemented
1154C4×D4—798no—
1155C4×D4—798no—
1156C4×D4—7916no—
1157C4×D4—798no—
1158C4×D4—798no—
1159C4×D4—7916no—
1160C4×D4—7916no—
1161C4×D4—7916no—
1162C4×D4—798no—
1163C4×D4—798no—
1164C4×D4C22×D7918yescomplemented
1165C4×D4C22×D7918yescomplemented
1166#117—798no—
1167#117—798no—
1168C2×C4⋊C4—791no—
1169C2×C4⋊C4—791no—
1170C2×C4⋊C4—791no—
1171C2×C4⋊C4—791no—
1172C2×C4⋊C4—792no—
1173C2×C4⋊C4—791no—
1174C2×C4⋊C4—791no—
1175C2×C4⋊C4C22×D7911yescharacteristic, complemented
1176C2×C4⋊C4C22×D7912yescomplemented
1177C2×C4⋊C4C22×D7911yescharacteristic, complemented
1178C2×C22⋊C4—791no—
1179C2×C22⋊C4—792no—
1180C2×C22⋊C4—792no—
1181C2×C22⋊C4—791no—
1182C2×C22⋊C4—792no—
1183C2×C22⋊C4—791no—
1184C2×C22⋊C4—791no—
1185C2×C22⋊C4—792no—
1186C2×C22⋊C4—791no—
1187C2×C22⋊C4—791no—
1188C2×C22⋊C4—792no—
1189C2×C22⋊C4—792no—
1190C2×C22⋊C4—792no—
1191C2×C22⋊C4—792no—
1192C2×C22⋊C4—792no—
1193C2×C22⋊C4—792no—
1194C2×C22⋊C4—791no—
1195C2×C22⋊C4—792no—
1196C2×C22⋊C4—792no—
1197C2×C22⋊C4—791no—
1198C2×C22⋊C4—7916no—
1199C2×C22⋊C4—7916no—
1200C2×C22⋊C4—7916no—
1201C2×C22⋊C4—7916no—
1202C2×C22⋊C4—7916no—
1203C2×C22⋊C4C22×D7912yes—
1204C2×C22⋊C4C22×D7911yescharacteristic
1205C2×C22⋊C4C22×D79116yescomplemented
1206C2×C22⋊C4C22×D7912yescomplemented
1207C2×C22⋊C4C22×D7912yescomplemented
1208C2×C22⋊C4C22×D7912yescomplemented
1209C2×C22⋊C4C22×D7912yescomplemented
1210C2×C22⋊C4C22×D7911yescharacteristic, complemented
1211C2×C42—792no—
1212C2×C42—791no—
1213C2×C42C22×D7911yescharacteristic, complemented
1214C24—28no—
1215C24—28no—
1216C24—44no—
1217C24—3164no—
1218C24—3164no—
1219C24—3164no—
1220C24—3164no—
1221C24—3164no—
1222C24—3164no—
1223C24—3164no—
1224C24—31632no—
1225C24—3164no—
1226C24—3164no—
1227C24—3164no—
1228C24—3164no—
1229C24—316128no—
1230C24—31632no—
1231C24—798no—
1232C24—7916no—
1233C24—798no—
1234C24—798no—
1235C24—798no—
1236C24—798no—
1237C24—798no—
1238C24—798no—
1239C24—791no—
1240C24—791no—
1241C24—792no—
1242C24—794no—
1243C24—792no—
1244C24—792no—
1245C24—791no—
1246C24—1588no—
1247C24—1588no—
1248C24—1588no—
1249C24—15864no—
1250C24—1588no—
1251C24—1588no—
1252C24—1588no—
1253C24—1584no—
1254C24—1584no—
1255C24—1588no—
1256C24—1588no—
1257C24—1588no—
1258C24—1584no—
1259C24C23×D7912yes—
1260C24C23×D7911yescharacteristic
1261C24C23×D7918yes—
1262C24C23×D7911yescharacteristic
1263C24C23×D7912yes—
1264#41—232no—
1265#41—15832no—
1266#41—15864no—
1267#41—15832no—
1268#41—15832no—
1269C2×Q8—24no—
1270C2×Q8—794no—
1271C2×Q8—1584no—
1272C2×Q8C23×D7914yescomplemented
1273C2×D4—24no—
1274C2×D4—28no—
1275C2×D4—28no—
1276C2×D4—232no—
1277C2×D4—24no—
1278C2×D4—44no—
1279C2×D4—3164no—
1280C2×D4—3164no—
1281C2×D4—3164no—
1282C2×D4—31632no—
1283C2×D4—31632no—
1284C2×D4—31632no—
1285C2×D4—31632no—
1286C2×D4—3164no—
1287C2×D4—3164no—
1288C2×D4—3164no—
1289C2×D4—3164no—
1290C2×D4—798no—
1291C2×D4—798no—
1292C2×D4—798no—
1293C2×D4—798no—
1294C2×D4—798no—
1295C2×D4—7916no—
1296C2×D4—7964no—
1297C2×D4—794no—
1298C2×D4—798no—
1299C2×D4—794no—
1300C2×D4—794no—
1301C2×D4—798no—
1302C2×D4—798no—
1303C2×D4—798no—
1304C2×D4—798no—
1305C2×D4—794no—
1306C2×D4—798no—
1307C2×D4—798no—
1308C2×D4—798no—
1309C2×D4—794no—
1310C2×D4—798no—
1311C2×D4—794no—
1312C2×D4—798no—
1313C2×D4—794no—
1314C2×D4—798no—
1315C2×D4—794no—
1316C2×D4—798no—
1317C2×D4—798no—
1318C2×D4—794no—
1319C2×D4—798no—
1320C2×D4—15832no—
1321C2×D4—15832no—
1322C2×D4—1584no—
1323C2×D4—1588no—
1324C2×D4—1588no—
1325C2×D4—1584no—
1326C2×D4—1588no—
1327C2×D4—1588no—
1328C2×D4—1588no—
1329C2×D4—15864no—
1330C2×D4—15832no—
1331C2×D4—1588no—
1332C2×D4—1584no—
1333C2×D4—15864no—
1334C2×D4—15832no—
1335C2×D4—15864no—
1336C2×D4—15864no—
1337C2×D4—15864no—
1338C2×D4—15864no—
1339C2×D4—1584no—
1340C2×D4—1588no—
1341C2×D4—1584no—
1342C2×D4—1588no—
1343C2×D4—1584no—
1344C2×D4—1588no—
1345C2×D4—1588no—
1346C2×D4—15832no—
1347C2×D4—15832no—
1348C2×D4—1584no—
1349C2×D4—1584no—
1350C2×D4D4×D7918yescomplemented
1351C2×D4C23×D7914yes—
1352C2×D4C23×D7918yes—
1353C2×D4C23×D7914yes—
1354C2×D4C23×D7914yes—
1355C2×D4C23×D7918yescomplemented
1356C2×D4C23×D7918yescomplemented
1357C22×C4—28no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—44no—
1361C22×C4—3164no—
1362C22×C4—3164no—
1363C22×C4—3164no—
1364C22×C4—798no—
1365C22×C4—798no—
1366C22×C4—798no—
1367C22×C4—791no—
1368C22×C4—794no—
1369C22×C4—798no—
1370C22×C4—794no—
1371C22×C4—791no—
1372C22×C4—791no—
1373C22×C4—792no—
1374C22×C4—791no—
1375C22×C4—791no—
1376C22×C4—794no—
1377C22×C4—794no—
1378C22×C4—794no—
1379C22×C4—798no—
1380C22×C4—798no—
1381C22×C4—794no—
1382C22×C4—1584no—
1383C22×C4—15832no—
1384C22×C4—1588no—
1385C22×C4—1584no—
1386C22×C4—1588no—
1387C22×C4—1584no—
1388C22×C4—1584no—
1389C22×C4—1584no—
1390C22×C4C23×D7914yes—
1391C22×C4C23×D7912yes—
1392C22×C4C23×D7911yescharacteristic
1393C22×C4C23×D7911yescharacteristic
1394C22×C4C23×D7912yes—
1395C22×C4C23×D7911yescharacteristic
1396C22×C4C23×D7911yescharacteristic
1397C22×C4C23×D7911yescharacteristic
1398C22×C4C23×D7918yescomplemented
1399C22×C4C23×D7914yescomplemented
1400C22×C4C23×D7918yescomplemented
1401C4⋊C4—794no—
1402C4⋊C4—794no—
1403C4⋊C4—794no—
1404C4⋊C4—798no—
1405C4⋊C4—794no—
1406C4⋊C4—794no—
1407C4⋊C4—794no—
1408C4⋊C4C23×D7914yescomplemented
1409C4⋊C4C23×D7918yescomplemented
1410C4⋊C4C23×D7914yescomplemented
1411C22⋊C4—794no—
1412C22⋊C4—798no—
1413C22⋊C4—798no—
1414C22⋊C4—794no—
1415C22⋊C4—798no—
1416C22⋊C4—794no—
1417C22⋊C4—794no—
1418C22⋊C4—798no—
1419C22⋊C4—794no—
1420C22⋊C4—794no—
1421C22⋊C4—798no—
1422C22⋊C4—798no—
1423C22⋊C4—798no—
1424C22⋊C4—798no—
1425C22⋊C4—798no—
1426C22⋊C4—798no—
1427C22⋊C4—794no—
1428C22⋊C4—798no—
1429C22⋊C4—798no—
1430C22⋊C4—794no—
1431C22⋊C4C23×D7918yes—
1432C22⋊C4C23×D7914yes—
1433C22⋊C4C23×D7918yescomplemented
1434C22⋊C4C23×D7918yescomplemented
1435C22⋊C4C23×D7918yescomplemented
1436C22⋊C4C23×D7918yescomplemented
1437C22⋊C4C23×D7914yescomplemented
1438C42—798no—
1439C42—794no—
1440C42C23×D7914yescomplemented
1441C23—24no—
1442C23—22no—
1443C23—24no—
1444C23—22no—
1445C23—22no—
1446C23—24no—
1447C23—22no—
1448C23—24no—
1449C23—216no—
1450C23—22no—
1451C23—216no—
1452C23—24no—
1453C23—48no—
1454C23—432no—
1455C23—31632no—
1456C23—31632no—
1457C23—31632no—
1458C23—3168no—
1459C23—3168no—
1460C23—3168no—
1461C23—3168no—
1462C23—3168no—
1463C23—3168no—
1464C23—3168no—
1465C23—3168no—
1466C23—3168no—
1467C23—3168no—
1468C23—3168no—
1469C23—316256no—
1470C23—31632no—
1471C23—31632no—
1472C23—7932no—
1473C23—794no—
1474C23—792no—
1475C23—792no—
1476C23—794no—
1477C23—794no—
1478C23—798no—
1479C23—794no—
1480C23—794no—
1481C23—792no—
1482C23—63216no—
1483C23—63216no—
1484C23—15816no—
1485C23—15816no—
1486C23—15816no—
1487C23—15816no—
1488C23—15816no—
1489C23—15816no—
1490C23—1588no—
1491C23—1588no—
1492C23—15832no—
1493C23—1584no—
1494C23—1582no—
1495C23—1584no—
1496C23—1582no—
1497C23—1584no—
1498C23—1584no—
1499C23—15816no—
1500C23—1584no—
1501C23—1582no—
1502C23—15816no—
1503C23—1584no—
1504C23—15816no—
1505C23—1584no—
1506C23—1582no—
1507C23—1584no—
1508C23—1582no—
1509C23—1582no—
1510C23—1588no—
1511C23—1582no—
1512C23C2×D4×D7918yes—
1513C23#1457920714yescomplemented
1514C23C24×D7914yes—
1515C23C24×D7912yes—
1516C23C24×D7912yes—
1517C23C24×D7914yes—
1518C23C24×D7911yescharacteristic
1519Q8—28no—
1520Q8—1588no—
1521D4—28no—
1522D4—216no—
1523D4—216no—
1524D4—28no—
1525D4—48no—
1526D4—3168no—
1527D4—3168no—
1528D4—3168no—
1529D4—3168no—
1530D4—3168no—
1531D4—3168no—
1532D4—3168no—
1533D4—7932no—
1534D4—7916no—
1535D4—1588no—
1536D4—15816no—
1537D4—15816no—
1538D4—1588no—
1539D4—15816no—
1540D4—15816no—
1541D4—15816no—
1542D4—15816no—
1543D4—1588no—
1544D4—1588no—
1545D4—15816no—
1546D4—1588no—
1547D4—15816no—
1548D4—1588no—
1549D4—15816no—
1550D4—15816no—
1551D4—1588no—
1552D4—1588no—
1553D4C2×D4×D79116yescomplemented
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—216no—
1561C2×C4—28no—
1562C2×C4—28no—
1563C2×C4—48no—
1564C2×C4—3168no—
1565C2×C4—3168no—
1566C2×C4—3168no—
1567C2×C4—792no—
1568C2×C4—794no—
1569C2×C4—7916no—
1570C2×C4—792no—
1571C2×C4—794no—
1572C2×C4—792no—
1573C2×C4—792no—
1574C2×C4—792no—
1575C2×C4—1588no—
1576C2×C4—15816no—
1577C2×C4—1588no—
1578C2×C4—15816no—
1579C2×C4—1588no—
1580C2×C4—1582no—
1581C2×C4—1584no—
1582C2×C4—1582no—
1583C2×C4—1582no—
1584C2×C4—1582no—
1585C2×C4—1588no—
1586C2×C4—1588no—
1587C2×C4C2×D4×D7914yes—
1588C2×C4C24×D7914yes—
1589C2×C4C24×D7912yes—
1590C2×C4C24×D7912yes—
1591C2×C4C24×D7914yes—
1592C2×C4C24×D7912yes—
1593C2×C4C24×D7912yes—
1594C2×C4C24×D7912yes—
1595C22—28no—
1596C22—216no—
1597C22—22no—
1598C22—24no—
1599C22—22no—
1600C22—24no—
1601C22—22no—
1602C22—24no—
1603C22—22no—
1604C22—24no—
1605C22—22no—
1606C22—24no—
1607C22—432no—
1608C22—48no—
1609C22—44no—
1610C22—31632no—
1611C22—31632no—
1612C22—31632no—
1613C22—31632no—
1614C22—31632no—
1615C22—3168no—
1616C22—3164no—
1617C22—3168no—
1618C22—794no—
1619C22—798no—
1620C22—794no—
1621C22—63216no—
1622C22—63216no—
1623C22—15832no—
1624C22—1584no—
1625C22—1582no—
1626C22—1584no—
1627C22—1582no—
1628C22—1584no—
1629C22—1584no—
1630C22—1584no—
1631C22—1582no—
1632C22—1584no—
1633C22—1588no—
1634C22—1588no—
1635C22—15816no—
1636C22—1582no—
1637C22—1584no—
1638C22—1582no—
1639C22—1584no—
1640C22—1582no—
1641C22—1582no—
1642C22C22×D4×D7918yes—
1643C22C22×D4×D7912yes—
1644C22H(5,𝔽2)×D7912yes—
1645C22C2×#1457920712yes—
1646C22C2×#1457920714yescomplemented
1647C22C25×D7911yescharacteristic
1648C4—22no—
1649C4—22no—
1650C4—24no—
1651C4—22no—
1652C4—24no—
1653C4—22no—
1654C4—794no—
1655C4—1582no—
1656C4—1582no—
1657C4—1582no—
1658C4—1584no—
1659C4—1582no—
1660C4C22×D4×D7914yes—
1661C2—24no—
1662C2—28no—
1663C2—44no—
1664C2—42no—
1665C2—3164no—
1666C2—3162no—
1667C2—3164no—
1668C2—1584no—
1669C2—1584no—
1670C2—1588no—
1671C2#2377703014yesdirect product factor
1672C2C23×D4×D7911yescharacteristic
1673C2C2×H(5,𝔽2)×D7911yescharacteristic
1674C2C22×#1457920711yescharacteristic
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#546×C79C2
socleC23×C79C25
hypercenterC2×#546D79
hypocenterC79C2×#3484
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. C22×#14579207C2semidirect
2. C23×D4×D79C2semidirect
3. #23777030C2direct (N × H)
4. C2×#19099206C2semidirect
5. C2×#19099205C2semidirect
6. C2×#19099204C2semidirect
7. C2×#19099203C2semidirect
8. C2×#19099201C2semidirect
9. C2×D4×D316C2semidirect
10. C2×D4×D316C2semidirect
11. C2×#19099197C2semidirect
12. C2×#19099197C2semidirect
13. C2×D4×C22⋊D79C2semidirect
14. C2×#19099195C2semidirect
15. C2×#19099131C2semidirect
16. C2×#19099129C2semidirect
17. C2×#19099124C2semidirect
18. C2×#19099121C2semidirect
19. C2×#19099076C2semidirect
20. C2×#19099072C2semidirect
21. C22×#14579131C2semidirect
22. C2×#120×D79C2semidirect
23. C2×#19099035C2semidirect
24. C2×#546×C79C2semidirect
25. C25×D79C22semidirect
27. C2×#14579207C22semidirect
28. C22×#11929625C22semidirect
29. C22×#11929625C22semidirect
30. C22×#11929624C22semidirect
31. C22×#11929624C22semidirect
32. C23×D316C22semidirect
33. C23×D316C22semidirect
34. C23×D316C22semidirect
35. C23×D316C22semidirect
36. C23×C22⋊D79C22semidirect
37. C23×C22⋊D79C22semidirect
40. C22×D4×D79C22semidirect
41. C22×D4×D79C22semidirect
42. C22×D4×D79C22semidirect
43. C22×D4×D79C22semidirect
44. C22×D4×D79C22semidirect
45. C22×D4×D79C22semidirect
46. C22×D4×D79C22semidirect
47. C22×D4×D79C22semidirect
48. C22×D4×D79C22semidirect
49. C22×D4×D79C22semidirect
50. C22×D4×D79C22semidirect
51. C23×C4×D79C22semidirect
52. #19099206C22semidirect
53. #19099205C22semidirect
54. #19099204C22semidirect
55. #19099203C22semidirect
56. #19099201C22semidirect
57. D4×D316C22semidirect
58. D4×D316C22semidirect
59. #19099197C22semidirect
60. #19099197C22semidirect
61. D4×C22⋊D79C22semidirect
62. #19099195C22semidirect
63. #19099131C22semidirect
64. #19099129C22semidirect
65. #19099124C22semidirect
66. #19099121C22semidirect
67. C2×#14579158C22semidirect
68. C2×#14579157C22semidirect
69. C2×#14579157C22semidirect
70. C2×#14579150C22semidirect
71. C2×#14579147C22semidirect
72. #19099076C22semidirect
73. #19099072C22semidirect
74. C2×#14579146C22semidirect
75. C2×#14579146C22semidirect
76. C2×#14579146C22semidirect
77. C2×#14579144C22semidirect
78. C2×#14579143C22semidirect
79. C2×#14579143C22semidirect
80. C2×#14579139C22semidirect
81. C2×#14579138C22semidirect
82. C2×#14579137C22semidirect
83. C2×#14579136C22semidirect
84. C2×#14579136C22semidirect
85. C2×#14579136C22semidirect
86. C2×#14579136C22semidirect
87. C2×#14579135C22semidirect
88. C2×#14579135C22semidirect
89. C2×#14579135C22semidirect
90. C2×#14579134C22semidirect
91. C2×#14579134C22semidirect
92. C2×#14579134C22semidirect
93. C2×#14579134C22semidirect
94. C2×#14579134C22semidirect
95. C2×#14579133C22semidirect
96. C2×#14579133C22semidirect
97. C2×#14579133C22semidirect
98. C2×#14579132C22semidirect
99. C2×#14579131C22semidirect
100. C2×#14579131C22semidirect
101. C2×#14579131C22semidirect
102. C2×#14579131C22semidirect
103. C2×#14579131C22semidirect
104. C2×#14579131C22semidirect
105. C2×#14579131C22semidirect
106. C2×#14579131C22semidirect
107. C2×#14579131C22semidirect
108. C2×#14579131C22semidirect
109. C2×#14579131C22semidirect
110. C2×#14579131C22semidirect
111. C2×#14579131C22semidirect
112. C2×#14579130C22semidirect
113. C2×#14579129C22semidirect
114. C2×#14579129C22semidirect
115. C2×#14579129C22semidirect
116. C2×#14579129C22semidirect
117. C2×#14579129C22semidirect
118. #120×D79C22semidirect
119. #19099035C22semidirect
120. C2×C4×D316C22semidirect
121. C2×C4×D316C22semidirect
122. C2×D4×Dic79C22semidirect
123. C2×#14579123C22semidirect
124. C2×#14579123C22semidirect
125. C2×C4×C22⋊D79C22semidirect
126. C2×C4×C22⋊D79C22semidirect
127. C2×C4×C22⋊D79C22semidirect
128. C2×(C22⋊D79)⋊C4C22semidirect
129. C2×(C22⋊D79)⋊C4C22semidirect
130. C2×#14579119C22semidirect
131. C2×#14579118C22semidirect
132. C22×(C2×D79)⋊C4C22semidirect
133. C22×(C2×D79)⋊C4C22semidirect
134. C2×C22⋊C4×D79C22semidirect
135. C2×C22⋊C4×D79C22semidirect
136. C2×C22⋊C4×D79C22semidirect
137. C22×#41×C79C22semidirect
138. C23×D4×C79C22semidirect
139. #546×C79C22semidirect
140. C2×#124×C79C22semidirect
141. C2×#123×C79C22semidirect
142. C2×C22⋊Q8×C79C22semidirect
143. C2×#121×C79C22semidirect
144. C2×#121×C79C22semidirect
145. C2×#120×C79C22semidirect
146. C2×C4×D4×C79C22semidirect
147. C2×C4×D4×C79C22semidirect
148. C22×C22⋊C4×C79C22semidirect
158. C24×D79C23semidirect
159. C24×D79C23semidirect
160. C24×D79C23semidirect
164. C2×#11929625C23semidirect
165. C2×#11929625C23semidirect
168. C2×#11929624C23semidirect
169. C2×#11929624C23semidirect
170. C22×Dic158C23semidirect
182. C22×D316C23semidirect
183. C22×D316C23semidirect
184. C22×D316C23semidirect
185. C22×D316C23semidirect
186. C22×D316C23semidirect
187. C22×D316C23semidirect
188. C22×D316C23semidirect
189. C22×D316C23semidirect
190. C22×D316C23semidirect
191. C22×D316C23semidirect
202. C22×C22⋊D79C23semidirect
203. C22×C22⋊D79C23semidirect
204. C22×C22⋊D79C23semidirect
205. C22×C22⋊D79C23semidirect
206. C22×C22⋊D79C23semidirect
207. C22×C22⋊D79C23semidirect
208. C22×C22⋊D79C23semidirect
209. C22×C22⋊D79C23semidirect
221. C2×D4×D79D4semidirect
223. C2×D4×D79C23semidirect
224. C2×D4×D79C23semidirect
225. C2×D4×D79C23semidirect
226. C2×D4×D79C23semidirect
227. C2×D4×D79C23semidirect
228. C2×D4×D79C23semidirect
229. C2×D4×D79C23semidirect
230. C2×D4×D79C23semidirect
231. C2×D4×D79C23semidirect
232. C2×D4×D79C23semidirect
234. C23×Dic79C23semidirect
240. C22×C4×D79C23semidirect
241. C22×C4×D79C23semidirect
242. C22×C4×D79C23semidirect
243. C22×C4×D79C23semidirect
244. C22×C4×D79C23semidirect
245. C22×C4×D79C23semidirect
246. #14579158C23semidirect
247. #14579157C23semidirect
248. #14579157C23semidirect
249. #14579150C23semidirect
250. #14579147C23semidirect
251. #14579146C23semidirect
252. #14579146C23semidirect
253. #14579146C23semidirect
254. #14579144C23semidirect
255. #14579143C23semidirect
256. #14579143C23semidirect
257. #14579139C23semidirect
258. #14579138C23semidirect
259. #14579137C23semidirect
260. #14579136C23semidirect
261. #14579136C23semidirect
262. #14579136C23semidirect
263. #14579136C23semidirect
264. #14579135C23semidirect
265. #14579135C23semidirect
266. #14579135C23semidirect
267. #14579134C23semidirect
268. #14579134C23semidirect
269. #14579134C23semidirect
270. #14579134C23semidirect
271. #14579134C23semidirect
272. #14579133C23semidirect
273. #14579133C23semidirect
274. #14579133C23semidirect
275. #14579132C23semidirect
276. #14579131C23semidirect
277. #14579131C23semidirect
278. #14579131C23semidirect
279. #14579131C23semidirect
280. #14579131C23semidirect
281. #14579131C23semidirect
282. #14579131C23semidirect
283. #14579131C23semidirect
284. #14579131C23semidirect
285. #14579131C23semidirect
286. #14579131C23semidirect
287. #14579131C23semidirect
288. #14579130C23semidirect
289. #14579129C23semidirect
290. #14579129C23semidirect
291. #14579129C23semidirect
292. #14579129C23semidirect
293. #14579129C23semidirect
294. C4×D316C23semidirect
295. C4×D316C23semidirect
296. D4×Dic79C23semidirect
297. #14579123C23semidirect
298. #14579123C23semidirect
299. C4×C22⋊D79C23semidirect
300. C4×C22⋊D79C23semidirect
301. C4×C22⋊D79C23semidirect
302. (C22⋊D79)⋊C4C23semidirect
303. (C22⋊D79)⋊C4C23semidirect
304. #14579119C23semidirect
305. #14579118C23semidirect
306. C2×C4⋊Dic79C23semidirect
307. C2×C4⋊Dic79C23semidirect
308. C2×Dic79⋊C4C23semidirect
309. C2×Dic79⋊C4C23semidirect
310. C2×Dic79⋊C4C23semidirect
311. C2×Dic79⋊C4C23semidirect
312. C2×Dic79⋊C4C23semidirect
314. C2×C22⋊Dic79C23semidirect
315. C2×C22⋊Dic79C23semidirect
316. C2×C22⋊Dic79C23semidirect
323. C2×(C2×D79)⋊C4C23semidirect
324. C2×(C2×D79)⋊C4C23semidirect
325. C2×(C2×D79)⋊C4C23semidirect
326. C2×(C2×D79)⋊C4C23semidirect
327. C2×(C2×D79)⋊C4C23semidirect
328. C2×(C2×D79)⋊C4C23semidirect
329. C2×(C2×D79)⋊C4C23semidirect
330. C2×(C2×D79)⋊C4C23semidirect
331. C2×(C2×D79)⋊C4C23semidirect
332. C2×(C2×D79)⋊C4C23semidirect
333. C2×(C2×D79)⋊C4C23semidirect
334. C2×(C2×D79)⋊C4C23semidirect
335. C22⋊C4×D79C23semidirect
336. C22⋊C4×D79C23semidirect
337. C22⋊C4×D79C23semidirect
338. C2×C4×Dic79C23semidirect
339. C2×C4×Dic79C23semidirect
342. C2×#41×C79C23semidirect
343. C22×Q8×C79C23semidirect
349. C22×D4×C79C23semidirect
350. C22×D4×C79C23semidirect
351. C22×D4×C79C23semidirect
353. C23×C4×C79C23semidirect
354. C23×C4×C79C23semidirect
355. C23×C4×C79C23semidirect
356. #124×C79C23semidirect
357. #123×C79C23semidirect
358. C22⋊Q8×C79C23semidirect
359. #121×C79C23semidirect
360. #121×C79C23semidirect
361. #120×C79C23semidirect
362. C4×D4×C79C23semidirect
363. C4×D4×C79C23semidirect
364. C2×C4⋊C4×C79C23semidirect
365. C2×C4⋊C4×C79C23semidirect
366. C2×C4⋊C4×C79C23semidirect
369. C2×C22⋊C4×C79C23semidirect
370. C2×C22⋊C4×C79C23semidirect
371. C2×C22⋊C4×C79C23semidirect
372. C2×C22⋊C4×C79C23semidirect
373. C2×C22⋊C4×C79C23semidirect
374. C2×C22⋊C4×C79C23semidirect
375. C2×C42×C79C23semidirect
403. C23×D79C2×D4semidirect
416. C23×D79C24semidirect
417. C23×D79C24semidirect
423. C2×Dic158C24semidirect
440. C2×D316C2×D4semidirect
448. C2×D316C24semidirect
449. C2×D316C24semidirect
450. C2×D316C24semidirect
451. C2×D316C24semidirect
452. C2×D316C24semidirect
453. C2×D316C24semidirect
469. C2×C22⋊D79C2×D4semidirect
478. C2×C22⋊D79C24semidirect
479. C2×C22⋊D79C24semidirect
480. C2×C22⋊D79C24semidirect
481. C2×C22⋊D79C24semidirect
482. C2×C22⋊D79C24semidirect
483. C2×C22⋊D79C24semidirect
494. D4×D79C2×D4semidirect
504. C22×Dic79C24semidirect
514. C2×C4×D79C2×D4semidirect
519. C2×C4×D79C24semidirect
520. C2×C4×D79C24semidirect
521. C2×C4×D79C24semidirect
522. C2×C4×D79C24semidirect
523. C2×C4×D79C24semidirect
524. C4⋊Dic79C24semidirect
525. C4⋊Dic79C24semidirect
526. Dic79⋊C4C24semidirect
527. Dic79⋊C4C24semidirect
528. Dic79⋊C4C24semidirect
529. Dic79⋊C4C24semidirect
530. Dic79⋊C4C24semidirect
532. C22⋊Dic79C24semidirect
533. C22⋊Dic79C24semidirect
534. C22⋊Dic79C24semidirect
541. (C2×D79)⋊C4C24semidirect
542. (C2×D79)⋊C4C24semidirect
543. (C2×D79)⋊C4C24semidirect
544. (C2×D79)⋊C4C24semidirect
545. (C2×D79)⋊C4C24semidirect
546. (C2×D79)⋊C4C24semidirect
547. (C2×D79)⋊C4C24semidirect
548. (C2×D79)⋊C4C24semidirect
549. (C2×D79)⋊C4C24semidirect
550. (C2×D79)⋊C4C24semidirect
551. C4×Dic79C24semidirect
552. C4×Dic79C24semidirect
563. C2×Q8×C79C24semidirect
570. C2×D4×C79C2×D4semidirect
575. C2×D4×C79C24semidirect
576. C2×D4×C79C24semidirect
589. C22×C4×C79C24semidirect
590. C22×C4×C79C24semidirect
591. C22×C4×C79C24semidirect
592. C4⋊C4×C79C24semidirect
593. C4⋊C4×C79C24semidirect
594. C4⋊C4×C79C24semidirect
597. C22⋊C4×C79C24semidirect
598. C22⋊C4×C79C24semidirect
599. C22⋊C4×C79C24semidirect
600. C22⋊C4×C79C24semidirect
601. C22⋊C4×C79C24semidirect
602. C42×C79C24semidirect
618. C23×C79H(5,𝔽2)semidirect
673. C22×D79C22×D4semidirect
674. C22×D79H(5,𝔽2)semidirect
687. D4×C79C22×D4semidirect
719. C22⋊D79C22×D4semidirect
746. D316C22×D4semidirect
755. C4×D79C22×D4semidirect
776. C22×C79C2×H(5,𝔽2)semidirect
809. C2×D79C2×H(5,𝔽2)semidirect
828. C2×C79#3484semidirect
846. C2×#546D79semidirect
862. C79C2×#3484semidirect
870. C22×#41C2×D79semidirect
890. C23×D4C2×D79semidirect
897. #546C2×D79semidirect
913. C2×#124C2×D79semidirect
922. C2×#123C2×D79semidirect
926. C2×C22⋊Q8C2×D79semidirect
943. C2×#121C2×D79semidirect
944. C2×#121C2×D79semidirect
965. C2×#120C2×D79semidirect
977. C2×C4×D4C2×D79semidirect
978. C2×C4×D4C2×D79semidirect
986. C22×C22⋊C4C2×D79semidirect
1010. C2×#41C22×D79semidirect
1012. C22×Q8C22×D79semidirect
1080. C22×D4C22×D79semidirect
1081. C22×D4C22×D79semidirect
1082. C22×D4C22×D79semidirect
1097. C23×C4C22×D79semidirect
1098. C23×C4C22×D79semidirect
1099. C23×C4C22×D79semidirect
1105. #124C22×D79semidirect
1112. #123C22×D79semidirect
1116. C22⋊Q8C22×D79semidirect
1133. #121C22×D79semidirect
1134. #121C22×D79semidirect
1153. #120C22×D79semidirect
1164. C4×D4C22×D79semidirect
1165. C4×D4C22×D79semidirect
1175. C2×C4⋊C4C22×D79semidirect
1176. C2×C4⋊C4C22×D79semidirect
1177. C2×C4⋊C4C22×D79semidirect
1205. C2×C22⋊C4C22×D79semidirect
1206. C2×C22⋊C4C22×D79semidirect
1207. C2×C22⋊C4C22×D79semidirect
1208. C2×C22⋊C4C22×D79semidirect
1209. C2×C22⋊C4C22×D79semidirect
1210. C2×C22⋊C4C22×D79semidirect
1213. C2×C42C22×D79semidirect
1272. C2×Q8C23×D79semidirect
1350. C2×D4D4×D79semidirect
1355. C2×D4C23×D79semidirect
1356. C2×D4C23×D79semidirect
1398. C22×C4C23×D79semidirect
1399. C22×C4C23×D79semidirect
1400. C22×C4C23×D79semidirect
1408. C4⋊C4C23×D79semidirect
1409. C4⋊C4C23×D79semidirect
1410. C4⋊C4C23×D79semidirect
1433. C22⋊C4C23×D79semidirect
1434. C22⋊C4C23×D79semidirect
1435. C22⋊C4C23×D79semidirect
1436. C22⋊C4C23×D79semidirect
1437. C22⋊C4C23×D79semidirect
1440. C42C23×D79semidirect
1513. C23#14579207semidirect
1553. D4C2×D4×D79semidirect
1646. C22C2×#14579207semidirect
1671. C2#23777030direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145792072
C23×D4×D792
#237770302
C2×#190992062
C2×#190992052
C2×#190992042
C2×#190992032
C2×#190992012
C2×D4×D3162
C2×#190991972
C2×D4×C22⋊D792
C2×#190991952
C2×#190991312
C2×#190991292
C2×#190991242
C2×#190991212
C2×#190990762
C2×#190990722
C22×#145791312
C2×#120×D792
C2×#190990352
C2×#546×C792
C2×#348479