Finite Group Databasebeta

← C2×#21459447 #30587889

Subgroups — C2×#21459447 #30587889

Order 15616.

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×#14519822C211yesmaximal, characteristic, complemented
2C23×D4×D61C211yesmaximal, characteristic, complemented
3#21459447C2132yesmaximal, direct product factor
4C2×#16840409C211yesmaximal, characteristic, complemented
5C2×#16840408C211yesmaximal, characteristic, complemented
6C2×#16840407C211yesmaximal, characteristic, complemented
7C2×#16840406C211yesmaximal, characteristic, complemented
8C2×#16840401C212yesmaximal, complemented
9C2×#16840399C212yesmaximal, complemented
10C2×#16840397C211yesmaximal, characteristic, complemented
11C2×#16840396C211yesmaximal, characteristic, complemented
12C2×D4×C22⋊D61C211yesmaximal, characteristic, complemented
13C2×D4×C22⋊D61C212yesmaximal, complemented
14C2×#16840394C212yesmaximal, complemented
15C2×#16840328C211yesmaximal, characteristic, complemented
16C2×#16840325C211yesmaximal, characteristic, complemented
17C2×#16840322C212yesmaximal, complemented
18C2×#16840320C212yesmaximal, complemented
19C2×#16840272C211yesmaximal, characteristic, complemented
20C2×#16840271C211yesmaximal, characteristic, complemented
21C22×#14519745C212yesmaximal, complemented
22C2×#120×D61C212yesmaximal, complemented
23C2×#16840234C211yesmaximal, characteristic, complemented
24C2×D42×C61C211yesmaximal, characteristic, complemented
25C25×D61C2212yescomplemented
26C2×#14519822—216no—
27C2×#14519822C22116yescomplemented
28C22×#11758222C2211yescharacteristic, complemented
29C22×#11758222C2211yescharacteristic, complemented
30C22×#11758224C2211yescharacteristic, complemented
31C22×#11758224C2212yescomplemented
32C22×#11758224C2211yescharacteristic, complemented
33C23×D244C2211yescharacteristic, complemented
34C23×C22⋊D61C2212yescomplemented
35C23×C22⋊D61C2212yescomplemented
36C23×C22⋊D61C2212yescomplemented
37C23×C22⋊D61C2212yescomplemented
38C22×D4×D61—216no—
39C22×D4×D61C2211yescharacteristic
40C22×D4×D61C2212yescomplemented
41C22×D4×D61C2211yescharacteristic, complemented
42C22×D4×D61C2211yescharacteristic, complemented
43C22×D4×D61C2212yescomplemented
44C22×D4×D61C2211yescharacteristic, complemented
45C22×D4×D61C22116yescomplemented
46C22×D4×D61C2212yescomplemented
47C22×D4×D61C2211yescharacteristic, complemented
48C22×D4×D61C2212yescomplemented
49C22×D4×D61C2212yescomplemented
50C23×C4×D61C2211yescharacteristic, complemented
51#16840409C22116yescomplemented
52#16840408C22116yescomplemented
53#16840407C22116yescomplemented
54#16840406C22116yescomplemented
55#16840401C22132yescomplemented
56#16840399C22132yescomplemented
57#16840397C22116yescomplemented
58#16840396C22116yescomplemented
59D4×C22⋊D61C22116yescomplemented
60D4×C22⋊D61C22132yescomplemented
61#16840394C22132yescomplemented
62#16840328C22116yescomplemented
63#16840325C22116yescomplemented
64#16840322C22132yescomplemented
65#16840320C22132yescomplemented
66C2×#14519773C2212yescomplemented
67C2×#14519773C2211yescharacteristic, complemented
68C2×#14519765C2211yescharacteristic, complemented
69C2×#14519764C2211yescharacteristic, complemented
70C2×#14519763C2212yescomplemented
71#16840272C22116yescomplemented
72#16840271C22116yescomplemented
73C2×#14519762C2211yescharacteristic, complemented
74C2×#14519762C2212yescomplemented
75C2×#14519761C2212yescomplemented
76C2×#14519759C2211yescharacteristic, complemented
77C2×#14519759C2212yescomplemented
78C2×#14519759C2212yescomplemented
79C2×#14519758C2212yescomplemented
80C2×#14519757C2211yescharacteristic, complemented
81C2×#14519756C2211yescharacteristic, complemented
82C2×#14519755C2211yescharacteristic, complemented
83C2×#14519754C2211yescharacteristic, complemented
84C2×#14519752C2211yescharacteristic, complemented
85C2×#14519751C2212yescomplemented
86C2×#14519751C2211yescharacteristic, complemented
87C2×#14519750C2211yescharacteristic, complemented
88C2×#14519750C2212yescomplemented
89C2×#14519750C2212yescomplemented
90C2×#14519749C2211yescharacteristic, complemented
91C2×#14519749C2212yescomplemented
92C2×#14519749C2212yescomplemented
93C2×#14519749C2212yescomplemented
94C2×#14519749C2212yescomplemented
95C2×#14519748C2211yescharacteristic, complemented
96C2×#14519748C2212yescomplemented
97C2×#14519748C2212yescomplemented
98C2×#14519748C2211yescharacteristic, complemented
99C2×#14519747C2211yescharacteristic, complemented
100C2×#14519747C2212yescomplemented
101C2×#14519747C2212yescomplemented
102C2×#14519747C2212yescomplemented
103C2×#14519746C2212yescomplemented
104C2×#14519746C2212yescomplemented
105C2×#14519745C2212yescomplemented
106C2×#14519745C2211yescharacteristic, complemented
107C2×#14519745C2212yescomplemented
108C2×#14519745C2212yescomplemented
109C2×#14519745C2212yescomplemented
110C2×#14519745C2212yescomplemented
111C2×#14519745C2212yescomplemented
112C2×#14519745C2212yescomplemented
113C2×#14519745C2212yescomplemented
114C2×#14519745C2212yescomplemented
115C2×#14519745C2212yescomplemented
116C2×#14519745C22132yescomplemented
117#120×D61C22132yescomplemented
118#16840234C22116yescomplemented
119C2×C4×D244C2211yescharacteristic, complemented
120C2×C4×D244C2211yescharacteristic, complemented
121C2×D4×Dic61C2212yescomplemented
122C2×D4×Dic61C2211yescharacteristic, complemented
123C2×#14519739C2211yescharacteristic, complemented
124C2×C4×C22⋊D61C2211yescharacteristic, complemented
125C2×C4×C22⋊D61C2211yescharacteristic, complemented
126C2×C4×C22⋊D61C2212yescomplemented
127C2×#14519737C2212yescomplemented
128C2×#14519737C2212yescomplemented
129C2×#14519735C2211yescharacteristic, complemented
130C2×#14519734C2211yescharacteristic, complemented
131C22×C22⋊Dic61C2212yescomplemented
132C22×#11758198C2212yescomplemented
133C22×#11758198C2212yescomplemented
134C2×C22⋊C4×D61C2212yescomplemented
135C2×C22⋊C4×D61C2212yescomplemented
136C2×C22⋊C4×D61C2212yescomplemented
137C23×D4×C61C2211yescharacteristic, complemented
138C23×D4×C61C2211yescharacteristic, complemented
139C23×D4×C61C2212yescomplemented
140D42×C61C22116yescomplemented
141C2×#127×C61C2211yescharacteristic, complemented
142C2×#121×C61C2211yescharacteristic, complemented
143C2×#121×C61C2212yescomplemented
144C2×#121×C61C2211yescharacteristic, complemented
145C2×#120×C61C2212yescomplemented
146C2×#120×C61C2212yescomplemented
147C2×C4×D4×C61C2211yescharacteristic, complemented
148C2×C4×D4×C61C2211yescharacteristic, complemented
149C24×D61—216no—
150C24×D61—48no—
151C24×D61—48no—
152C24×D61C2311yescharacteristic
153C24×D61C2312yes—
154C24×D61C2312yes—
155C24×D61C2312yes—
156C24×D61C2312yes—
157C24×D61C2312yes—
158C24×D61C23116yescomplemented
159C24×D61C2312yescomplemented
160#14519822—2128no—
161C2×#11758222—28no—
162C2×#11758222—28no—
163C2×#11758222C2318yescomplemented
164C2×#11758222C2318yescomplemented
165C2×#11758224—28no—
166C2×#11758224—216no—
167C2×#11758224—28no—
168C2×#11758224C2318yescomplemented
169C2×#11758224C23116yescomplemented
170C2×#11758224C2318yescomplemented
171C22×Dic122C2311yescharacteristic, complemented
172C22×Dic122C2311yescharacteristic, complemented
173C22×D244—28no—
174C22×D244C2311yescharacteristic
175C22×D244C2311yescharacteristic
176C22×D244C2312yes—
177C22×D244C2311yescharacteristic
178C22×D244C2311yescharacteristic
179C22×D244C2318yescomplemented
180C22×D244C2312yescomplemented
181C22×C22⋊D61—216no—
182C22×C22⋊D61—216no—
183C22×C22⋊D61—216no—
184C22×C22⋊D61—48no—
185C22×C22⋊D61C2312yes—
186C22×C22⋊D61C2311yescharacteristic
187C22×C22⋊D61C2311yescharacteristic
188C22×C22⋊D61C2312yes—
189C22×C22⋊D61C2311yescharacteristic
190C22×C22⋊D61C2312yes—
191C22×C22⋊D61C2312yes—
192C22×C22⋊D61C2312yes—
193C22×C22⋊D61C2312yes—
194C22×C22⋊D61C23116yescomplemented
195C22×C22⋊D61C2312yescomplemented
196C22×C22⋊D61C2312yescomplemented
197C22×C22⋊D61C2312yescomplemented
198C22×C22⋊D61C2311yescharacteristic, complemented
199C22×C22⋊D61C2312yescomplemented
200C22×C22⋊D61C2312yescomplemented
201C22×C22⋊D61C2312yescomplemented
202C22×C22⋊D61C2312yescomplemented
203C22×C22⋊D61C23116yescomplemented
204C22×C22⋊D61C23116yescomplemented
205C22×C22⋊D61C23116yescomplemented
206C2×D4×D61—216no—
207C2×D4×D61—216no—
208C2×D4×D61—28no—
209C2×D4×D61—216no—
210C2×D4×D61—2128no—
211C2×D4×D61—28no—
212C2×D4×D61—28no—
213C2×D4×D61—28no—
214C2×D4×D61—48no—
215C2×D4×D61—48no—
216C2×D4×D61D4116yescomplemented
217C2×D4×D61C2318yes—
218C2×D4×D61C23116yescomplemented
219C2×D4×D61C2318yescomplemented
220C2×D4×D61C23116yescomplemented
221C2×D4×D61C2318yescomplemented
222C2×D4×D61C2318yescomplemented
223C2×D4×D61C23116yescomplemented
224C2×D4×D61C2318yescomplemented
225C2×D4×D61C23116yescomplemented
226C2×D4×D61C23116yescomplemented
227C23×Dic61C2311yescharacteristic
228C23×Dic61C2312yescomplemented
229C23×Dic61C2312yescomplemented
230C23×Dic61C2312yescomplemented
231C22×C4×D61—28no—
232C22×C4×D61C2311yescharacteristic
233C22×C4×D61C2311yescharacteristic
234C22×C4×D61C2311yescharacteristic
235C22×C4×D61C2311yescharacteristic
236C22×C4×D61C2318yescomplemented
237C22×C4×D61C2312yescomplemented
238C22×C4×D61C2311yescharacteristic, complemented
239C22×C4×D61C2312yescomplemented
240C22×C4×D61C2312yescomplemented
241#14519773C2318yescomplemented
242#14519773C23116yescomplemented
243#14519765C2318yescomplemented
244#14519764C2318yescomplemented
245#14519763C23116yescomplemented
246#14519762C2318yescomplemented
247#14519762C23116yescomplemented
248#14519761C23116yescomplemented
249#14519759C2318yescomplemented
250#14519759C23116yescomplemented
251#14519759C23116yescomplemented
252#14519758C23116yescomplemented
253#14519757C2318yescomplemented
254#14519756C2318yescomplemented
255#14519755C2318yescomplemented
256#14519754C2318yescomplemented
257#14519752C2318yescomplemented
258#14519751C2318yescomplemented
259#14519751C23116yescomplemented
260#14519750C2318yescomplemented
261#14519750C23116yescomplemented
262#14519750C23116yescomplemented
263#14519749C2318yescomplemented
264#14519749C23116yescomplemented
265#14519749C23116yescomplemented
266#14519749C23116yescomplemented
267#14519749C23116yescomplemented
268#14519748C2318yescomplemented
269#14519748C23116yescomplemented
270#14519748C23116yescomplemented
271#14519748C2318yescomplemented
272#14519747C2318yescomplemented
273#14519747C23116yescomplemented
274#14519747C23116yescomplemented
275#14519747C23116yescomplemented
276#14519746C23116yescomplemented
277#14519746C23116yescomplemented
278#14519745C23116yescomplemented
279#14519745C2318yescomplemented
280#14519745C23116yescomplemented
281#14519745C23116yescomplemented
282#14519745C23116yescomplemented
283#14519745C23116yescomplemented
284#14519745C23116yescomplemented
285#14519745C23116yescomplemented
286#14519745C23116yescomplemented
287#14519745C23116yescomplemented
288#14519745C23116yescomplemented
289C4×D244C2318yescomplemented
290C4×D244C2318yescomplemented
291D4×Dic61C23116yescomplemented
292D4×Dic61C2318yescomplemented
293#14519739C2318yescomplemented
294C4×C22⋊D61C2318yescomplemented
295C4×C22⋊D61C2318yescomplemented
296C4×C22⋊D61C23116yescomplemented
297#14519737C23116yescomplemented
298#14519737C23116yescomplemented
299#14519735C2318yescomplemented
300#14519734C2318yescomplemented
301C2×C4⋊Dic61C2311yescharacteristic, complemented
302C2×C4⋊Dic61C2312yescomplemented
303C2×C4⋊Dic61C2311yescharacteristic, complemented
304C2×#11758196C2311yescharacteristic, complemented
305C2×#11758196C2311yescharacteristic, complemented
306C2×#11758196C2312yescomplemented
307C2×#11758196C2311yescharacteristic, complemented
308C2×#11758196C2311yescharacteristic, complemented
309C2×C22⋊Dic61C2312yes—
310C2×C22⋊Dic61C2311yescharacteristic
311C2×C22⋊Dic61C23116yescomplemented
312C2×C22⋊Dic61C2312yescomplemented
313C2×C22⋊Dic61C2312yescomplemented
314C2×C22⋊Dic61C2312yescomplemented
315C2×C22⋊Dic61C2312yescomplemented
316C2×C22⋊Dic61C2311yescharacteristic, complemented
317C2×C22⋊Dic61C2312yescomplemented
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2312yes—
321C2×#11758198C2312yes—
322C2×#11758198C2311yescharacteristic
323C2×#11758198C2311yescharacteristic
324C2×#11758198C23116yescomplemented
325C2×#11758198C23116yescomplemented
326C2×#11758198C2312yescomplemented
327C2×#11758198C2312yescomplemented
328C2×#11758198C2312yescomplemented
329C2×#11758198C2312yescomplemented
330C2×#11758198C2312yescomplemented
331C2×#11758198C2312yescomplemented
332C2×#11758198C2311yescharacteristic, complemented
333C2×#11758198C2311yescharacteristic, complemented
334C22⋊C4×D61C23116yescomplemented
335C22⋊C4×D61C23116yescomplemented
336C22⋊C4×D61C23116yescomplemented
337C2×C4×Dic61C2311yescharacteristic, complemented
338C2×C4×Dic61C2312yescomplemented
339C25×C61C2312yes—
340C25×C61C2312yescomplemented
341C22×D4×C61—28no—
342C22×D4×C61—28no—
343C22×D4×C61—48no—
344C22×D4×C61C2311yescharacteristic
345C22×D4×C61C2312yes—
346C22×D4×C61C2311yescharacteristic
347C22×D4×C61C2312yes—
348C22×D4×C61C2311yescharacteristic
349C22×D4×C61C2318yescomplemented
350C22×D4×C61C2311yescharacteristic, complemented
351C22×D4×C61C2312yescomplemented
352C22×D4×C61C2312yescomplemented
353C22×D4×C61C2312yescomplemented
354C22×D4×C61C2312yescomplemented
355C22×D4×C61C2318yescomplemented
356C22×D4×C61C23116yescomplemented
357C23×C4×C61C2311yescharacteristic
358C23×C4×C61C2311yescharacteristic, complemented
359C23×C4×C61C2312yescomplemented
360#127×C61C2318yescomplemented
361#121×C61C2318yescomplemented
362#121×C61C23116yescomplemented
363#121×C61C2318yescomplemented
364#120×C61C23116yescomplemented
365#120×C61C23116yescomplemented
366C4×D4×C61C2318yescomplemented
367C4×D4×C61C2318yescomplemented
368C2×C4⋊C4×C61C2311yescharacteristic, complemented
369C2×C4⋊C4×C61C2311yescharacteristic, complemented
370C2×C22⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61C2312yescomplemented
372C2×C22⋊C4×C61C2312yescomplemented
373C2×C22⋊C4×C61C2312yescomplemented
374C2×C22⋊C4×C61C2311yescharacteristic, complemented
375C2×C42×C61C2311yescharacteristic, complemented
376C24×C61—28no—
377C24×C61—28no—
378C24×C61—28no—
379C24×C61—44no—
380C24×C61—44no—
381C24×C61—44no—
382C24×C61C2412yes—
383C24×C61C2411yescharacteristic
384C24×C61C2412yes—
385C24×C61C2418yes—
386C24×C61C2412yes—
387C24×C61C2411yescharacteristic
388C24×C61C2418yescomplemented
389C23×D61—24no—
390C23×D61—24no—
391C23×D61—24no—
392C23×D61—28no—
393C23×D61—28no—
394C23×D61—28no—
395C23×D61—28no—
396C23×D61—28no—
397C23×D61—264no—
398C23×D61—28no—
399C23×D61—28no—
400C23×D61—28no—
401C23×D61—432no—
402C23×D61—44no—
403C23×D61—44no—
404C23×D61—44no—
405C23×D61—44no—
406C23×D61—44no—
407C23×D61—44no—
408C23×D61—44no—
409C23×D61—432no—
410C23×D61—44no—
411C23×D61—44no—
412C23×D61—4128no—
413C23×D61C2×D4116yescomplemented
414C23×D61C2414yes—
415C23×D61C2411yescharacteristic
416C23×D61C2412yes—
417C23×D61C2418yes—
418C23×D61C2418yes—
419C23×D61C2418yes—
420C23×D61C2411yescharacteristic
421C23×D61C2412yes—
422C23×D61C2411yescharacteristic
423C23×D61C2418yes—
424C23×D61C2418yes—
425C23×D61C2418yescomplemented
426C2×D4×C61—28no—
427C2×D4×C61—28no—
428C2×D4×C61—28no—
429C2×D4×C61—24no—
430C2×D4×C61—232no—
431C2×D4×C61—232no—
432C2×D4×C61—24no—
433C2×D4×C61—24no—
434C2×D4×C61—44no—
435C2×D4×C61—44no—
436C2×D4×C61—44no—
437C2×D4×C61—432no—
438C2×D4×C61C2×D418yescomplemented
439C2×D4×C61C2418yes—
440C2×D4×C61C2414yes—
441C2×D4×C61C2418yes—
442C2×D4×C61C2414yes—
443C2×D4×C61C2414yes—
444C2×D4×C61C2418yescomplemented
445C2×D4×C61C2414yescomplemented
446C2×D4×C61C2418yescomplemented
447C2×D4×C61C2418yescomplemented
448C2×D4×C61C2418yescomplemented
449C22×C4×C61—24no—
450C22×C4×C61—24no—
451C22×C4×C61—44no—
452C22×C4×C61C2411yescharacteristic
453C22×C4×C61C2411yescharacteristic
454C22×C4×C61C2411yescharacteristic
455C22×C4×C61C2414yes—
456C22×C4×C61C2412yes—
457C22×C4×C61C2411yescharacteristic
458C22×C4×C61C2411yescharacteristic
459C22×C4×C61C2414yescomplemented
460C22×C4×C61C2418yescomplemented
461C2×C22⋊D61—28no—
462C2×C22⋊D61—28no—
463C2×C22⋊D61—24no—
464C2×C22⋊D61—28no—
465C2×C22⋊D61—28no—
466C2×C22⋊D61—28no—
467C2×C22⋊D61—24no—
468C2×C22⋊D61—28no—
469C2×C22⋊D61—264no—
470C2×C22⋊D61—28no—
471C2×C22⋊D61—24no—
472C2×C22⋊D61—264no—
473C2×C22⋊D61—264no—
474C2×C22⋊D61—28no—
475C2×C22⋊D61—24no—
476C2×C22⋊D61—44no—
477C2×C22⋊D61—44no—
478C2×C22⋊D61—44no—
479C2×C22⋊D61—44no—
480C2×C22⋊D61—432no—
481C2×C22⋊D61C2×D4116yescomplemented
482C2×C22⋊D61C2418yes—
483C2×C22⋊D61C2418yes—
484C2×C22⋊D61C2418yes—
485C2×C22⋊D61C2414yes—
486C2×C22⋊D61C2418yes—
487C2×C22⋊D61C2418yes—
488C2×C22⋊D61C2414yes—
489C2×C22⋊D61C2414yes—
490C2×C22⋊D61C2418yes—
491C2×C22⋊D61C2418yescomplemented
492C2×C22⋊D61C2418yescomplemented
493C2×C22⋊D61C2418yescomplemented
494C2×C22⋊D61C2414yescomplemented
495C2×C22⋊D61C2418yescomplemented
496C2×C22⋊D61C2418yescomplemented
497C2×C22⋊D61C2418yescomplemented
498C2×C22⋊D61C2418yescomplemented
499C22×Dic61—28no—
500C22×Dic61—24no—
501C22×Dic61—28no—
502C22×Dic61—44no—
503C22×Dic61C2411yescharacteristic
504C22×Dic61C2414yes—
505C22×Dic61C2411yescharacteristic
506C22×Dic61C2412yes—
507C22×Dic61C2411yescharacteristic
508C22×Dic61C2412yes—
509C22×Dic61C2411yescharacteristic
510C22×Dic61C2411yescharacteristic
511C22×Dic61C2418yescomplemented
512C22×Dic61C2418yescomplemented
513C22×Dic61C2418yescomplemented
514#11758224—232no—
515#11758224—264no—
516#11758224—232no—
517D4×D61—264no—
518D4×D61—264no—
519D4×D61—232no—
520D4×D61—264no—
521D4×D61—232no—
522D4×D61—232no—
523D4×D61—232no—
524D4×D61—432no—
525D4×D61—432no—
526D4×D61C2×D4164yescomplemented
527#11758222—232no—
528#11758222—232no—
529C2×D244—28no—
530C2×D244—24no—
531C2×D244—24no—
532C2×D244—24no—
533C2×D244—232no—
534C2×D244—44no—
535C2×D244C2×D418yescomplemented
536C2×D244C2418yes—
537C2×D244C2414yes—
538C2×D244C2414yes—
539C2×D244C2414yes—
540C2×D244C2414yes—
541C2×D244C2418yescomplemented
542C2×C4×D61—24no—
543C2×C4×D61—28no—
544C2×C4×D61—24no—
545C2×C4×D61—24no—
546C2×C4×D61—24no—
547C2×C4×D61—232no—
548C2×C4×D61—44no—
549C2×C4×D61—44no—
550C2×C4×D61C2×D418yescomplemented
551C2×C4×D61C2414yes—
552C2×C4×D61C2414yes—
553C2×C4×D61C2414yes—
554C2×C4×D61C2414yes—
555C2×C4×D61C2418yescomplemented
556C2×C4×D61C2414yescomplemented
557C2×C4×D61C2418yescomplemented
558C2×C4×D61C2418yescomplemented
559C2×Dic122—24no—
560C2×Dic122—24no—
561C2×Dic122C2414yescomplemented
562C2×Dic122C2414yescomplemented
563C4⋊C4×C61C2414yescomplemented
564C4⋊C4×C61C2414yescomplemented
565C22⋊C4×C61C2414yes—
566C22⋊C4×C61C2418yescomplemented
567C22⋊C4×C61C2414yescomplemented
568C22⋊C4×C61C2418yescomplemented
569C22⋊C4×C61C2418yescomplemented
570C42×C61C2414yescomplemented
571C22⋊Dic61C2418yes—
572C22⋊Dic61C2414yes—
573C22⋊Dic61C2418yescomplemented
574C22⋊Dic61C2418yescomplemented
575C22⋊Dic61C2418yescomplemented
576C22⋊Dic61C2418yescomplemented
577C22⋊Dic61C2414yescomplemented
578C22⋊Dic61C2418yescomplemented
579#11758198C2414yes—
580#11758198C2414yes—
581#11758198C2418yes—
582#11758198C2418yes—
583#11758198C2414yes—
584#11758198C2414yes—
585#11758198C2418yescomplemented
586#11758198C2418yescomplemented
587#11758198C2418yescomplemented
588#11758198C2418yescomplemented
589#11758198C2418yescomplemented
590#11758198C2418yescomplemented
591#11758198C2414yescomplemented
592#11758198C2414yescomplemented
593C4⋊Dic61C2414yescomplemented
594C4⋊Dic61C2418yescomplemented
595C4⋊Dic61C2414yescomplemented
596#11758196C2414yescomplemented
597#11758196C2414yescomplemented
598#11758196C2418yescomplemented
599#11758196C2414yescomplemented
600#11758196C2414yescomplemented
601C4×Dic61C2414yescomplemented
602C4×Dic61C2418yescomplemented
603C23×C61—22no—
604C23×C61—24no—
605C23×C61—24no—
606C23×C61—22no—
607C23×C61—24no—
608C23×C61—22no—
609C23×C61—216no—
610C23×C61—24no—
611C23×C61—22no—
612C23×C61—24no—
613C23×C61—24no—
614C23×C61—24no—
615C23×C61—22no—
616C23×C61—24no—
617C23×C61—216no—
618C23×C61—216no—
619C23×C61—48no—
620C23×C61—48no—
621C23×C61—48no—
622C23×C61—432no—
623C23×C61—816no—
624C23×C61C22×D418yes—
625C23×C61H(5,𝔽2)14yescomplemented
626C23×C61C2514yes—
627C23×C61C2514yes—
628C23×C61C2512yes—
629C23×C61C2514yes—
630C23×C61C2512yes—
631C23×C61C2511yescharacteristic
632C22×D61—232no—
633C22×D61—22no—
634C22×D61—24no—
635C22×D61—24no—
636C22×D61—22no—
637C22×D61—22no—
638C22×D61—22no—
639C22×D61—28no—
640C22×D61—28no—
641C22×D61—28no—
642C22×D61—22no—
643C22×D61—24no—
644C22×D61—216no—
645C22×D61—22no—
646C22×D61—22no—
647C22×D61—24no—
648C22×D61—24no—
649C22×D61—216no—
650C22×D61—216no—
651C22×D61—216no—
652C22×D61—216no—
653C22×D61—216no—
654C22×D61—216no—
655C22×D61—216no—
656C22×D61—432no—
657C22×D61—48no—
658C22×D61—48no—
659C22×D61—48no—
660C22×D61—48no—
661C22×D61—48no—
662C22×D61—48no—
663C22×D61—48no—
664C22×D61—432no—
665C22×D61—48no—
666C22×D61—48no—
667C22×D61—432no—
668C22×D61—432no—
669C22×D61—4256no—
670C22×D61—432no—
671C22×D61—816no—
672C22×D61C22×D414yes—
673C22×D61C22×D418yes—
674C22×D61C22×D4132yescomplemented
675C22×D61H(5,𝔽2)14yescomplemented
676C22×D61C2514yes—
677C22×D61C2512yes—
678C22×D61C2512yes—
679C22×D61C2514yes—
680C22×D61C2512yes—
681D4×C61—216no—
682D4×C61—216no—
683D4×C61—216no—
684D4×C61—28no—
685D4×C61—28no—
686D4×C61—28no—
687D4×C61—48no—
688D4×C61—48no—
689D4×C61—48no—
690D4×C61C22×D4116yescomplemented
691C2×C4×C61—22no—
692C2×C4×C61—22no—
693C2×C4×C61—22no—
694C2×C4×C61—24no—
695C2×C4×C61—22no—
696C2×C4×C61—28no—
697C2×C4×C61—28no—
698C2×C4×C61—48no—
699C2×C4×C61C22×D414yes—
700C2×C4×C61C2514yes—
701C2×C4×C61C2512yes—
702C2×C4×C61C2512yes—
703C2×C4×C61C2512yes—
704C2×C4×C61C2512yes—
705C2×C4×C61C2512yes—
706C22⋊D61—216no—
707C22⋊D61—216no—
708C22⋊D61—28no—
709C22⋊D61—28no—
710C22⋊D61—216no—
711C22⋊D61—216no—
712C22⋊D61—216no—
713C22⋊D61—216no—
714C22⋊D61—216no—
715C22⋊D61—28no—
716C22⋊D61—28no—
717C22⋊D61—216no—
718C22⋊D61—48no—
719C22⋊D61—48no—
720C22⋊D61—48no—
721C22⋊D61—48no—
722C22⋊D61C22×D4132yescomplemented
723C2×Dic61—24no—
724C2×Dic61—22no—
725C2×Dic61—22no—
726C2×Dic61—216no—
727C2×Dic61—22no—
728C2×Dic61—24no—
729C2×Dic61—22no—
730C2×Dic61—28no—
731C2×Dic61—216no—
732C2×Dic61—48no—
733C2×Dic61C22×D414yes—
734C2×Dic61C2512yes—
735C2×Dic61C2512yes—
736C2×Dic61C2514yes—
737C2×Dic61C2512yes—
738C2×Dic61C2514yes—
739C2×Dic61C2512yes—
740C2×Dic61C2512yes—
741D244—216no—
742D244—28no—
743D244—28no—
744D244—28no—
745D244—48no—
746D244C22×D4116yescomplemented
747C4×D61—28no—
748C4×D61—216no—
749C4×D61—28no—
750C4×D61—28no—
751C4×D61—28no—
752C4×D61—48no—
753C4×D61—48no—
754C4×D61C22×D4116yescomplemented
755Dic122—28no—
756Dic122—28no—
757C2×#3484—611nomaximal, Sylow
758C22×C61—22no—
759C22×C61—24no—
760C22×C61—24no—
761C22×C61—22no—
762C22×C61—28no—
763C22×C61—216no—
764C22×C61—24no—
765C22×C61—22no—
766C22×C61—24no—
767C22×C61—22no—
768C22×C61—24no—
769C22×C61—24no—
770C22×C61—24no—
771C22×C61—22no—
772C22×C61—24no—
773C22×C61—432no—
774C22×C61—48no—
775C22×C61—48no—
776C22×C61—44no—
777C22×C61—816no—
778C22×C61C23×D418yes—
779C22×C61C23×D412yes—
780C22×C61C2×H(5,𝔽2)12yes—
781C22×C61C2×H(5,𝔽2)12yes—
782C22×C61C2×H(5,𝔽2)14yescomplemented
783C22×C61C2611yescharacteristic
784C2×D61—232no—
785C2×D61—22no—
786C2×D61—24no—
787C2×D61—24no—
788C2×D61—22no—
789C2×D61—22no—
790C2×D61—22no—
791C2×D61—28no—
792C2×D61—28no—
793C2×D61—216no—
794C2×D61—22no—
795C2×D61—24no—
796C2×D61—22no—
797C2×D61—22no—
798C2×D61—24no—
799C2×D61—24no—
800C2×D61—432no—
801C2×D61—432no—
802C2×D61—432no—
803C2×D61—432no—
804C2×D61—432no—
805C2×D61—48no—
806C2×D61—44no—
807C2×D61—816no—
808C2×D61C23×D414yes—
809C2×D61C23×D418yes—
810C2×D61C2×H(5,𝔽2)14yescomplemented
811C4×C61—22no—
812C4×C61—22no—
813C4×C61—22no—
814C4×C61—24no—
815C4×C61—22no—
816C4×C61C23×D414yes—
817Dic61—24no—
818Dic61—22no—
819Dic61—22no—
820Dic61—22no—
821Dic61—24no—
822Dic61—22no—
823Dic61C23×D414yes—
824C22×H(5,𝔽2)—611no—
825C24×D4—611no—
826#3484—6132no—
827C2×#546—611no—
828C2×#546—612no—
829C2×#546—611no—
830C2×#546—612no—
831C2×#546—611no—
832C2×#546—611no—
833C2×D42—611no—
834C2×D42—612no—
835C2×D42—611no—
836C2×D42—611no—
837C2×D42—612no—
838C2×D42D6111yescharacteristic, complemented
839C2×#535—611no—
840C2×#535—611no—
841C2×#534—612no—
842C2×#534—612no—
843C2×#525—611no—
844C2×#525—611no—
845C22×#120—612no—
846C22×#120—612no—
847C2×#518—611no—
848C2×C61—24no—
849C2×C61—28no—
850C2×C61—44no—
851C2×C61—44no—
852C2×C61—42no—
853C2×C61#348414yescomplemented
854C2×C61C24×D411yescharacteristic
855C2×C61C22×H(5,𝔽2)11yescharacteristic
856C2×C61C22×H(5,𝔽2)11yescharacteristic
857D61—24no—
858D61—24no—
859D61—28no—
860D61—44no—
861D61—42no—
862C26—612no—
863C2×H(5,𝔽2)—6116no—
864C2×H(5,𝔽2)—12216no—
865C22×#41—611no—
866C22×#41—611no—
867C22×#41—612no—
868C22×#41—611no—
869C22×#41—611no—
870C23×D4—611no—
871C23×D4—612no—
872C23×D4—612no—
873C23×D4—612no—
874C23×D4—612no—
875C23×D4—612no—
876C23×D4—611no—
877C23×D4—612no—
878C23×D4—611no—
879C23×D4—611no—
880C23×D4—6116no—
881C23×D4—612no—
882C23×D4—611no—
883C23×D4—612no—
884C23×D4—612no—
885C23×D4—611no—
886C23×D4—12216no—
887C23×D4C2×D6111yescharacteristic, complemented
888C23×D4C2×D6111yescharacteristic, complemented
889C23×D4C2×D6112yescomplemented
890C24×C4—611no—
891#546—6116no—
892#546—6132no—
893#546—6116no—
894#546—6132no—
895#546—6116no—
896#546—6116no—
897D42—6116no—
898D42—6132no—
899D42—6116no—
900D42—6116no—
901D42—6132no—
902D42C2×D61116yescomplemented
903#535—6116no—
904#535—6116no—
905#534—6132no—
906#534—6132no—
907C2×#127—612no—
908C2×#127—611no—
909C2×#127C2×D6111yescharacteristic, complemented
910C2×#124—611no—
911C2×#124—612no—
912C2×#124—611no—
913#525—6116no—
914#525—6116no—
915C2×#123—612no—
916C2×#123—611no—
917C2×#123—612no—
918C2×#123—612no—
919C2×#123—611no—
920C2×#123—612no—
921C2×#123—612no—
922C2×C22⋊Q8—611no—
923C2×C22⋊Q8—611no—
924C2×C22⋊Q8—611no—
925C2×C22⋊Q8—611no—
926C2×#121—611no—
927C2×#121—611no—
928C2×#121—612no—
929C2×#121—611no—
930C2×#121—612no—
931C2×#121—612no—
932C2×#121—612no—
933C2×#121—612no—
934C2×#121—612no—
935C2×#121—612no—
936C2×#121—611no—
937C2×#121—611no—
938C2×#121—611no—
939C2×#121—612no—
940C2×#121—612no—
941C2×#121C2×D6111yescharacteristic, complemented
942C2×#121C2×D6112yescomplemented
943C2×#121C2×D6111yescharacteristic, complemented
944C2×#120—612no—
945C2×#120—612no—
946C2×#120—612no—
947C2×#120—611no—
948C2×#120—612no—
949C2×#120—612no—
950C2×#120—612no—
951C2×#120—612no—
952C2×#120—612no—
953C2×#120—612no—
954C2×#120—612no—
955C2×#120—612no—
956C2×#120—6132no—
957C2×#120—612no—
958C2×#120—6132no—
959C2×#120—611no—
960C2×#120—612no—
961C2×#120—612no—
962C2×#120—612no—
963C2×#120C2×D6112yescomplemented
964C2×#120C2×D6112yescomplemented
965#518—6116no—
966C2×C4×D4—611no—
967C2×C4×D4—612no—
968C2×C4×D4—611no—
969C2×C4×D4—612no—
970C2×C4×D4—611no—
971C2×C4×D4—611no—
972C2×C4×D4—612no—
973C2×C4×D4—612no—
974C2×C4×D4—611no—
975C2×C4×D4—611no—
976C2×C4×D4C2×D6111yescharacteristic, complemented
977C2×C4×D4C2×D6111yescharacteristic, complemented
978C2×#117—611no—
979C2×#117—611no—
980C22×C22⋊C4—612no—
981C22×C22⋊C4—612no—
982C22×C22⋊C4—612no—
983C22×C22⋊C4—612no—
984C22×C22⋊C4—612no—
985C22×C22⋊C4—612no—
986C61C2×#348411yescharacteristic, complemented, Sylow
987C25—612no—
988C25—611no—
989C25—612no—
990C25—612no—
991C25—612no—
992C25—612no—
993C25—6116no—
994C25—612no—
995C25—12216no—
996C25—2448no—
997C25—2448no—
998C25C22×D6112yes—
999C25C22×D6112yescomplemented
1000H(5,𝔽2)—122128no—
1001C2×#41—618no—
1002C2×#41—618no—
1003C2×#41—6116no—
1004C2×#41—618no—
1005C2×#41—618no—
1006C2×#41—1228no—
1007C2×#41—1228no—
1008C2×#41—1228no—
1009C2×#41—12216no—
1010C2×#41—1228no—
1011C22×Q8—611no—
1012C22×Q8—611no—
1013C22×D4—28no—
1014C22×D4—28no—
1015C22×D4—48no—
1016C22×D4—612no—
1017C22×D4—6116no—
1018C22×D4—618no—
1019C22×D4—612no—
1020C22×D4—611no—
1021C22×D4—611no—
1022C22×D4—612no—
1023C22×D4—611no—
1024C22×D4—612no—
1025C22×D4—612no—
1026C22×D4—612no—
1027C22×D4—612no—
1028C22×D4—612no—
1029C22×D4—612no—
1030C22×D4—611no—
1031C22×D4—6116no—
1032C22×D4—6116no—
1033C22×D4—6116no—
1034C22×D4—612no—
1035C22×D4—612no—
1036C22×D4—612no—
1037C22×D4—612no—
1038C22×D4—6116no—
1039C22×D4—6116no—
1040C22×D4—618no—
1041C22×D4—6116no—
1042C22×D4—618no—
1043C22×D4—618no—
1044C22×D4—6116no—
1045C22×D4—618no—
1046C22×D4—6116no—
1047C22×D4—6116no—
1048C22×D4—611no—
1049C22×D4—611no—
1050C22×D4—611no—
1051C22×D4—612no—
1052C22×D4—611no—
1053C22×D4—618no—
1054C22×D4—612no—
1055C22×D4—1228no—
1056C22×D4—1228no—
1057C22×D4—12216no—
1058C22×D4—122128no—
1059C22×D4—1228no—
1060C22×D4—1228no—
1061C22×D4—12216no—
1062C22×D4—12216no—
1063C22×D4—12216no—
1064C22×D4—12216no—
1065C22×D4—12216no—
1066C22×D4—1228no—
1067C22×D4—2448no—
1068C22×D4—2448no—
1069C22×D4—2448no—
1070C22×D4C22×D6112yes—
1071C22×D4C22×D6111yescharacteristic
1072C22×D4C22×D6112yes—
1073C22×D4C22×D6111yescharacteristic
1074C22×D4C22×D6111yescharacteristic
1075C22×D4C22×D6118yescomplemented
1076C22×D4C22×D6112yescomplemented
1077C22×D4C22×D6111yescharacteristic, complemented
1078C22×D4C22×D6112yescomplemented
1079C22×D4C22×D6112yescomplemented
1080C22×D4C22×D6112yescomplemented
1081C22×D4C22×D6118yescomplemented
1082C22×D4C22×D61116yescomplemented
1083C23×C4—611no—
1084C23×C4—612no—
1085C23×C4—611no—
1086C23×C4—612no—
1087C23×C4—612no—
1088C23×C4—612no—
1089C23×C4—611no—
1090C23×C4—611no—
1091C23×C4—611no—
1092C23×C4—611no—
1093C23×C4—618no—
1094C23×C4—612no—
1095C23×C4—612no—
1096C23×C4—1228no—
1097C23×C4C22×D6111yescharacteristic
1098C23×C4C22×D6111yescharacteristic, complemented
1099C23×C4C22×D6112yescomplemented
1100#127—6116no—
1101#127—618no—
1102#127C22×D6118yescomplemented
1103#124—618no—
1104#124—6116no—
1105#124—618no—
1106#123—6116no—
1107#123—618no—
1108#123—6116no—
1109#123—6116no—
1110#123—618no—
1111#123—6116no—
1112#123—6116no—
1113C22⋊Q8—618no—
1114C22⋊Q8—618no—
1115C22⋊Q8—618no—
1116C22⋊Q8—618no—
1117#121—618no—
1118#121—6116no—
1119#121—618no—
1120#121—618no—
1121#121—6116no—
1122#121—6116no—
1123#121—6116no—
1124#121—6116no—
1125#121—6116no—
1126#121—6116no—
1127#121—618no—
1128#121—618no—
1129#121—618no—
1130#121—6116no—
1131#121—6116no—
1132#121C22×D6118yescomplemented
1133#121C22×D61116yescomplemented
1134#121C22×D6118yescomplemented
1135#120—6116no—
1136#120—6116no—
1137#120—6116no—
1138#120—618no—
1139#120—6116no—
1140#120—6116no—
1141#120—6116no—
1142#120—6116no—
1143#120—6116no—
1144#120—6116no—
1145#120—6116no—
1146#120—6116no—
1147#120—6116no—
1148#120—618no—
1149#120—6116no—
1150#120—6116no—
1151#120—6116no—
1152#120C22×D61116yescomplemented
1153#120C22×D61116yescomplemented
1154C4×D4—618no—
1155C4×D4—6116no—
1156C4×D4—618no—
1157C4×D4—6116no—
1158C4×D4—618no—
1159C4×D4—618no—
1160C4×D4—6116no—
1161C4×D4—6116no—
1162C4×D4—618no—
1163C4×D4—618no—
1164C4×D4C22×D6118yescomplemented
1165C4×D4C22×D6118yescomplemented
1166#117—618no—
1167#117—618no—
1168C2×C4⋊C4—611no—
1169C2×C4⋊C4—611no—
1170C2×C4⋊C4—611no—
1171C2×C4⋊C4—611no—
1172C2×C4⋊C4—612no—
1173C2×C4⋊C4—611no—
1174C2×C4⋊C4—612no—
1175C2×C4⋊C4—611no—
1176C2×C4⋊C4C22×D6111yescharacteristic, complemented
1177C2×C4⋊C4C22×D6111yescharacteristic, complemented
1178C2×C22⋊C4—611no—
1179C2×C22⋊C4—612no—
1180C2×C22⋊C4—612no—
1181C2×C22⋊C4—612no—
1182C2×C22⋊C4—612no—
1183C2×C22⋊C4—612no—
1184C2×C22⋊C4—6116no—
1185C2×C22⋊C4—612no—
1186C2×C22⋊C4—611no—
1187C2×C22⋊C4—612no—
1188C2×C22⋊C4—611no—
1189C2×C22⋊C4—611no—
1190C2×C22⋊C4—611no—
1191C2×C22⋊C4—612no—
1192C2×C22⋊C4—611no—
1193C2×C22⋊C4—612no—
1194C2×C22⋊C4—612no—
1195C2×C22⋊C4—612no—
1196C2×C22⋊C4—612no—
1197C2×C22⋊C4—612no—
1198C2×C22⋊C4—612no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—611no—
1201C2×C22⋊C4—6116no—
1202C2×C22⋊C4—6116no—
1203C2×C22⋊C4—6116no—
1204C2×C22⋊C4—6116no—
1205C2×C22⋊C4—6116no—
1206C2×C22⋊C4C22×D6111yescharacteristic
1207C2×C22⋊C4C22×D6112yescomplemented
1208C2×C22⋊C4C22×D6112yescomplemented
1209C2×C22⋊C4C22×D6112yescomplemented
1210C2×C22⋊C4C22×D6111yescharacteristic, complemented
1211C2×C42—612no—
1212C2×C42—611no—
1213C2×C42C22×D6111yescharacteristic, complemented
1214C24—28no—
1215C24—28no—
1216C24—28no—
1217C24—44no—
1218C24—44no—
1219C24—44no—
1220C24—611no—
1221C24—611no—
1222C24—612no—
1223C24—6116no—
1224C24—618no—
1225C24—614no—
1226C24—612no—
1227C24—611no—
1228C24—618no—
1229C24—618no—
1230C24—618no—
1231C24—618no—
1232C24—618no—
1233C24—1224no—
1234C24—1224no—
1235C24—1228no—
1236C24—1228no—
1237C24—1228no—
1238C24—1228no—
1239C24—12264no—
1240C24—1228no—
1241C24—1228no—
1242C24—1224no—
1243C24—1228no—
1244C24—1228no—
1245C24—2444no—
1246C24—2444no—
1247C24—2444no—
1248C24—2444no—
1249C24—2444no—
1250C24—2444no—
1251C24—2444no—
1252C24—2444no—
1253C24—2444no—
1254C24—24432no—
1255C24—24432no—
1256C24—244128no—
1257C24C23×D6112yes—
1258C24C23×D6112yes—
1259C24C23×D6111yescharacteristic
1260C24C23×D6118yes—
1261C24C23×D6112yes—
1262C24C23×D6111yescharacteristic
1263C24C23×D6118yescomplemented
1264#41—12232no—
1265#41—12232no—
1266#41—12232no—
1267#41—12264no—
1268#41—12232no—
1269C2×Q8—614no—
1270C2×Q8—614no—
1271C2×Q8—1224no—
1272C2×Q8—1224no—
1273C2×D4—28no—
1274C2×D4—28no—
1275C2×D4—24no—
1276C2×D4—28no—
1277C2×D4—232no—
1278C2×D4—232no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—432no—
1285C2×D4—6116no—
1286C2×D4—618no—
1287C2×D4—6164no—
1288C2×D4—618no—
1289C2×D4—614no—
1290C2×D4—614no—
1291C2×D4—618no—
1292C2×D4—614no—
1293C2×D4—618no—
1294C2×D4—618no—
1295C2×D4—618no—
1296C2×D4—618no—
1297C2×D4—618no—
1298C2×D4—618no—
1299C2×D4—614no—
1300C2×D4—618no—
1301C2×D4—618no—
1302C2×D4—618no—
1303C2×D4—618no—
1304C2×D4—618no—
1305C2×D4—614no—
1306C2×D4—614no—
1307C2×D4—614no—
1308C2×D4—618no—
1309C2×D4—614no—
1310C2×D4—618no—
1311C2×D4—12232no—
1312C2×D4—1228no—
1313C2×D4—1224no—
1314C2×D4—1224no—
1315C2×D4—12232no—
1316C2×D4—1228no—
1317C2×D4—1224no—
1318C2×D4—12264no—
1319C2×D4—12232no—
1320C2×D4—12232no—
1321C2×D4—12264no—
1322C2×D4—12264no—
1323C2×D4—12264no—
1324C2×D4—12264no—
1325C2×D4—1228no—
1326C2×D4—1224no—
1327C2×D4—1228no—
1328C2×D4—1228no—
1329C2×D4—1228no—
1330C2×D4—12264no—
1331C2×D4—1228no—
1332C2×D4—1224no—
1333C2×D4—1228no—
1334C2×D4—1228no—
1335C2×D4—1224no—
1336C2×D4—12232no—
1337C2×D4—1224no—
1338C2×D4—2444no—
1339C2×D4—2444no—
1340C2×D4—2444no—
1341C2×D4—2444no—
1342C2×D4—2444no—
1343C2×D4—24432no—
1344C2×D4—24432no—
1345C2×D4—24432no—
1346C2×D4D4×D6118yescomplemented
1347C2×D4C23×D6118yes—
1348C2×D4C23×D6114yes—
1349C2×D4C23×D6118yes—
1350C2×D4C23×D6114yes—
1351C2×D4C23×D6114yes—
1352C2×D4C23×D6118yescomplemented
1353C2×D4C23×D6114yescomplemented
1354C2×D4C23×D6118yescomplemented
1355C2×D4C23×D6118yescomplemented
1356C2×D4C23×D6118yescomplemented
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—44no—
1360C22×C4—611no—
1361C22×C4—618no—
1362C22×C4—614no—
1363C22×C4—618no—
1364C22×C4—618no—
1365C22×C4—614no—
1366C22×C4—612no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—612no—
1371C22×C4—611no—
1372C22×C4—618no—
1373C22×C4—618no—
1374C22×C4—614no—
1375C22×C4—614no—
1376C22×C4—614no—
1377C22×C4—614no—
1378C22×C4—618no—
1379C22×C4—618no—
1380C22×C4—1224no—
1381C22×C4—12232no—
1382C22×C4—1224no—
1383C22×C4—1228no—
1384C22×C4—1224no—
1385C22×C4—1228no—
1386C22×C4—1228no—
1387C22×C4—1224no—
1388C22×C4—1224no—
1389C22×C4—2444no—
1390C22×C4—2444no—
1391C22×C4—2444no—
1392C22×C4C23×D6114yes—
1393C22×C4C23×D6112yes—
1394C22×C4C23×D6111yescharacteristic
1395C22×C4C23×D6111yescharacteristic
1396C22×C4C23×D6111yescharacteristic
1397C22×C4C23×D6111yescharacteristic
1398C22×C4C23×D6111yescharacteristic
1399C22×C4C23×D6114yescomplemented
1400C22×C4C23×D6118yescomplemented
1401C4⋊C4—614no—
1402C4⋊C4—614no—
1403C4⋊C4—618no—
1404C4⋊C4—614no—
1405C4⋊C4—614no—
1406C4⋊C4—614no—
1407C4⋊C4—618no—
1408C4⋊C4—614no—
1409C4⋊C4C23×D6114yescomplemented
1410C4⋊C4C23×D6114yescomplemented
1411C22⋊C4—614no—
1412C22⋊C4—618no—
1413C22⋊C4—618no—
1414C22⋊C4—618no—
1415C22⋊C4—618no—
1416C22⋊C4—618no—
1417C22⋊C4—618no—
1418C22⋊C4—614no—
1419C22⋊C4—618no—
1420C22⋊C4—614no—
1421C22⋊C4—614no—
1422C22⋊C4—614no—
1423C22⋊C4—618no—
1424C22⋊C4—614no—
1425C22⋊C4—618no—
1426C22⋊C4—618no—
1427C22⋊C4—618no—
1428C22⋊C4—618no—
1429C22⋊C4—618no—
1430C22⋊C4—618no—
1431C22⋊C4—614no—
1432C22⋊C4—614no—
1433C22⋊C4C23×D6114yes—
1434C22⋊C4C23×D6118yescomplemented
1435C22⋊C4C23×D6118yescomplemented
1436C22⋊C4C23×D6118yescomplemented
1437C22⋊C4C23×D6114yescomplemented
1438C42—618no—
1439C42—614no—
1440C42C23×D6114yescomplemented
1441C23—22no—
1442C23—24no—
1443C23—22no—
1444C23—24no—
1445C23—22no—
1446C23—24no—
1447C23—216no—
1448C23—24no—
1449C23—24no—
1450C23—24no—
1451C23—22no—
1452C23—22no—
1453C23—24no—
1454C23—24no—
1455C23—216no—
1456C23—216no—
1457C23—48no—
1458C23—48no—
1459C23—48no—
1460C23—432no—
1461C23—816no—
1462C23—614no—
1463C23—618no—
1464C23—614no—
1465C23—612no—
1466C23—612no—
1467C23—614no—
1468C23—6132no—
1469C23—614no—
1470C23—612no—
1471C23—1228no—
1472C23—1228no—
1473C23—12216no—
1474C23—12216no—
1475C23—12216no—
1476C23—12216no—
1477C23—12216no—
1478C23—12216no—
1479C23—12232no—
1480C23—1222no—
1481C23—1224no—
1482C23—1222no—
1483C23—1224no—
1484C23—1222no—
1485C23—1222no—
1486C23—1228no—
1487C23—1222no—
1488C23—12216no—
1489C23—1224no—
1490C23—1222no—
1491C23—1224no—
1492C23—1222no—
1493C23—1224no—
1494C23—12216no—
1495C23—48816no—
1496C23—2448no—
1497C23—2448no—
1498C23—2448no—
1499C23—2448no—
1500C23—2448no—
1501C23—2448no—
1502C23—24432no—
1503C23—2448no—
1504C23—2448no—
1505C23—2448no—
1506C23—24432no—
1507C23—24432no—
1508C23—24432no—
1509C23—244256no—
1510C23—24432no—
1511C23C2×D4×D6118yes—
1512C23#1451982214yescomplemented
1513C23C24×D6114yes—
1514C23C24×D6114yes—
1515C23C24×D6112yes—
1516C23C24×D6114yes—
1517C23C24×D6112yes—
1518C23C24×D6111yescharacteristic
1519Q8—1228no—
1520Q8—1228no—
1521D4—216no—
1522D4—216no—
1523D4—28no—
1524D4—216no—
1525D4—28no—
1526D4—28no—
1527D4—48no—
1528D4—48no—
1529D4—48no—
1530D4—6132no—
1531D4—6116no—
1532D4—12216no—
1533D4—1228no—
1534D4—1228no—
1535D4—12216no—
1536D4—1228no—
1537D4—12216no—
1538D4—1228no—
1539D4—12216no—
1540D4—12216no—
1541D4—12216no—
1542D4—12216no—
1543D4—1228no—
1544D4—12216no—
1545D4—12216no—
1546D4—1228no—
1547D4—1228no—
1548D4—2448no—
1549D4—2448no—
1550D4—2448no—
1551D4—2448no—
1552D4—2448no—
1553D4C2×D4×D61116yescomplemented
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—28no—
1560C2×C4—28no—
1561C2×C4—48no—
1562C2×C4—614no—
1563C2×C4—612no—
1564C2×C4—6116no—
1565C2×C4—612no—
1566C2×C4—614no—
1567C2×C4—612no—
1568C2×C4—612no—
1569C2×C4—614no—
1570C2×C4—612no—
1571C2×C4—1228no—
1572C2×C4—1228no—
1573C2×C4—12216no—
1574C2×C4—1228no—
1575C2×C4—12216no—
1576C2×C4—1222no—
1577C2×C4—1224no—
1578C2×C4—1222no—
1579C2×C4—12216no—
1580C2×C4—1224no—
1581C2×C4—1222no—
1582C2×C4—1222no—
1583C2×C4—1228no—
1584C2×C4—1228no—
1585C2×C4—2448no—
1586C2×C4—2448no—
1587C2×C4—2448no—
1588C2×C4C2×D4×D6114yes—
1589C2×C4C24×D6114yes—
1590C2×C4C24×D6112yes—
1591C2×C4C24×D6112yes—
1592C2×C4C24×D6112yes—
1593C2×C4C24×D6112yes—
1594C2×C4C24×D6112yes—
1595C22—22no—
1596C22—24no—
1597C22—22no—
1598C22—24no—
1599C22—28no—
1600C22—216no—
1601C22—22no—
1602C22—24no—
1603C22—24no—
1604C22—24no—
1605C22—24no—
1606C22—22no—
1607C22—22no—
1608C22—24no—
1609C22—24no—
1610C22—432no—
1611C22—48no—
1612C22—44no—
1613C22—48no—
1614C22—816no—
1615C22—614no—
1616C22—618no—
1617C22—614no—
1618C22—12232no—
1619C22—1222no—
1620C22—1224no—
1621C22—1222no—
1622C22—1224no—
1623C22—1222no—
1624C22—1222no—
1625C22—1228no—
1626C22—1228no—
1627C22—12216no—
1628C22—1222no—
1629C22—1224no—
1630C22—1222no—
1631C22—1224no—
1632C22—1222no—
1633C22—1224no—
1634C22—48816no—
1635C22—24432no—
1636C22—24432no—
1637C22—24432no—
1638C22—24432no—
1639C22—24432no—
1640C22—2444no—
1641C22—2448no—
1642C22C22×D4×D6118yes—
1643C22C22×D4×D6112yes—
1644C22H(5,𝔽2)×D6112yes—
1645C22C2×#1451982212yes—
1646C22C2×#1451982214yescomplemented
1647C22C25×D6111yescharacteristic
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—24no—
1653C4—614no—
1654C4—1222no—
1655C4—1224no—
1656C4—1222no—
1657C4—1224no—
1658C4—1222no—
1659C4—1222no—
1660C4C22×D4×D6114yes—
1661C2—24no—
1662C2—28no—
1663C2—44no—
1664C2—42no—
1665C2—44no—
1666C2—1224no—
1667C2—1224no—
1668C2—1228no—
1669C2—2442no—
1670C2—2444no—
1671C2#2145944714yesdirect product factor
1672C2C23×D4×D6111yescharacteristic
1673C2C2×H(5,𝔽2)×D6111yescharacteristic
1674C2C22×#1451982211yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×D42×C61C2
socleC23×C61C25
hypercenterC2×D42D61
hypocenterC61C2×#3484
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×D42

Complements

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

NH ≅ G/Ntype
1. C22×#14519822C2semidirect
2. C23×D4×D61C2semidirect
3. #21459447C2direct (N × H)
4. C2×#16840409C2semidirect
5. C2×#16840408C2semidirect
6. C2×#16840407C2semidirect
7. C2×#16840406C2semidirect
8. C2×#16840401C2semidirect
9. C2×#16840399C2semidirect
10. C2×#16840397C2semidirect
11. C2×#16840396C2semidirect
12. C2×D4×C22⋊D61C2semidirect
13. C2×D4×C22⋊D61C2semidirect
14. C2×#16840394C2semidirect
15. C2×#16840328C2semidirect
16. C2×#16840325C2semidirect
17. C2×#16840322C2semidirect
18. C2×#16840320C2semidirect
19. C2×#16840272C2semidirect
20. C2×#16840271C2semidirect
21. C22×#14519745C2semidirect
22. C2×#120×D61C2semidirect
23. C2×#16840234C2semidirect
24. C2×D42×C61C2semidirect
25. C25×D61C22semidirect
27. C2×#14519822C22semidirect
28. C22×#11758222C22semidirect
29. C22×#11758222C22semidirect
30. C22×#11758224C22semidirect
31. C22×#11758224C22semidirect
32. C22×#11758224C22semidirect
33. C23×D244C22semidirect
34. C23×C22⋊D61C22semidirect
35. C23×C22⋊D61C22semidirect
36. C23×C22⋊D61C22semidirect
37. C23×C22⋊D61C22semidirect
40. C22×D4×D61C22semidirect
41. C22×D4×D61C22semidirect
42. C22×D4×D61C22semidirect
43. C22×D4×D61C22semidirect
44. C22×D4×D61C22semidirect
45. C22×D4×D61C22semidirect
46. C22×D4×D61C22semidirect
47. C22×D4×D61C22semidirect
48. C22×D4×D61C22semidirect
49. C22×D4×D61C22semidirect
50. C23×C4×D61C22semidirect
51. #16840409C22semidirect
52. #16840408C22semidirect
53. #16840407C22semidirect
54. #16840406C22semidirect
55. #16840401C22semidirect
56. #16840399C22semidirect
57. #16840397C22semidirect
58. #16840396C22semidirect
59. D4×C22⋊D61C22semidirect
60. D4×C22⋊D61C22semidirect
61. #16840394C22semidirect
62. #16840328C22semidirect
63. #16840325C22semidirect
64. #16840322C22semidirect
65. #16840320C22semidirect
66. C2×#14519773C22semidirect
67. C2×#14519773C22semidirect
68. C2×#14519765C22semidirect
69. C2×#14519764C22semidirect
70. C2×#14519763C22semidirect
71. #16840272C22semidirect
72. #16840271C22semidirect
73. C2×#14519762C22semidirect
74. C2×#14519762C22semidirect
75. C2×#14519761C22semidirect
76. C2×#14519759C22semidirect
77. C2×#14519759C22semidirect
78. C2×#14519759C22semidirect
79. C2×#14519758C22semidirect
80. C2×#14519757C22semidirect
81. C2×#14519756C22semidirect
82. C2×#14519755C22semidirect
83. C2×#14519754C22semidirect
84. C2×#14519752C22semidirect
85. C2×#14519751C22semidirect
86. C2×#14519751C22semidirect
87. C2×#14519750C22semidirect
88. C2×#14519750C22semidirect
89. C2×#14519750C22semidirect
90. C2×#14519749C22semidirect
91. C2×#14519749C22semidirect
92. C2×#14519749C22semidirect
93. C2×#14519749C22semidirect
94. C2×#14519749C22semidirect
95. C2×#14519748C22semidirect
96. C2×#14519748C22semidirect
97. C2×#14519748C22semidirect
98. C2×#14519748C22semidirect
99. C2×#14519747C22semidirect
100. C2×#14519747C22semidirect
101. C2×#14519747C22semidirect
102. C2×#14519747C22semidirect
103. C2×#14519746C22semidirect
104. C2×#14519746C22semidirect
105. C2×#14519745C22semidirect
106. C2×#14519745C22semidirect
107. C2×#14519745C22semidirect
108. C2×#14519745C22semidirect
109. C2×#14519745C22semidirect
110. C2×#14519745C22semidirect
111. C2×#14519745C22semidirect
112. C2×#14519745C22semidirect
113. C2×#14519745C22semidirect
114. C2×#14519745C22semidirect
115. C2×#14519745C22semidirect
116. C2×#14519745C22semidirect
117. #120×D61C22semidirect
118. #16840234C22semidirect
119. C2×C4×D244C22semidirect
120. C2×C4×D244C22semidirect
121. C2×D4×Dic61C22semidirect
122. C2×D4×Dic61C22semidirect
123. C2×#14519739C22semidirect
124. C2×C4×C22⋊D61C22semidirect
125. C2×C4×C22⋊D61C22semidirect
126. C2×C4×C22⋊D61C22semidirect
127. C2×#14519737C22semidirect
128. C2×#14519737C22semidirect
129. C2×#14519735C22semidirect
130. C2×#14519734C22semidirect
131. C22×C22⋊Dic61C22semidirect
132. C22×#11758198C22semidirect
133. C22×#11758198C22semidirect
134. C2×C22⋊C4×D61C22semidirect
135. C2×C22⋊C4×D61C22semidirect
136. C2×C22⋊C4×D61C22semidirect
137. C23×D4×C61C22semidirect
138. C23×D4×C61C22semidirect
139. C23×D4×C61C22semidirect
140. D42×C61C22semidirect
141. C2×#127×C61C22semidirect
142. C2×#121×C61C22semidirect
143. C2×#121×C61C22semidirect
144. C2×#121×C61C22semidirect
145. C2×#120×C61C22semidirect
146. C2×#120×C61C22semidirect
147. C2×C4×D4×C61C22semidirect
148. C2×C4×D4×C61C22semidirect
158. C24×D61C23semidirect
159. C24×D61C23semidirect
163. C2×#11758222C23semidirect
164. C2×#11758222C23semidirect
168. C2×#11758224C23semidirect
169. C2×#11758224C23semidirect
170. C2×#11758224C23semidirect
171. C22×Dic122C23semidirect
172. C22×Dic122C23semidirect
179. C22×D244C23semidirect
180. C22×D244C23semidirect
194. C22×C22⋊D61C23semidirect
195. C22×C22⋊D61C23semidirect
196. C22×C22⋊D61C23semidirect
197. C22×C22⋊D61C23semidirect
198. C22×C22⋊D61C23semidirect
199. C22×C22⋊D61C23semidirect
200. C22×C22⋊D61C23semidirect
201. C22×C22⋊D61C23semidirect
202. C22×C22⋊D61C23semidirect
203. C22×C22⋊D61C23semidirect
204. C22×C22⋊D61C23semidirect
205. C22×C22⋊D61C23semidirect
216. C2×D4×D61D4semidirect
218. C2×D4×D61C23semidirect
219. C2×D4×D61C23semidirect
220. C2×D4×D61C23semidirect
221. C2×D4×D61C23semidirect
222. C2×D4×D61C23semidirect
223. C2×D4×D61C23semidirect
224. C2×D4×D61C23semidirect
225. C2×D4×D61C23semidirect
226. C2×D4×D61C23semidirect
228. C23×Dic61C23semidirect
229. C23×Dic61C23semidirect
230. C23×Dic61C23semidirect
236. C22×C4×D61C23semidirect
237. C22×C4×D61C23semidirect
238. C22×C4×D61C23semidirect
239. C22×C4×D61C23semidirect
240. C22×C4×D61C23semidirect
241. #14519773C23semidirect
242. #14519773C23semidirect
243. #14519765C23semidirect
244. #14519764C23semidirect
245. #14519763C23semidirect
246. #14519762C23semidirect
247. #14519762C23semidirect
248. #14519761C23semidirect
249. #14519759C23semidirect
250. #14519759C23semidirect
251. #14519759C23semidirect
252. #14519758C23semidirect
253. #14519757C23semidirect
254. #14519756C23semidirect
255. #14519755C23semidirect
256. #14519754C23semidirect
257. #14519752C23semidirect
258. #14519751C23semidirect
259. #14519751C23semidirect
260. #14519750C23semidirect
261. #14519750C23semidirect
262. #14519750C23semidirect
263. #14519749C23semidirect
264. #14519749C23semidirect
265. #14519749C23semidirect
266. #14519749C23semidirect
267. #14519749C23semidirect
268. #14519748C23semidirect
269. #14519748C23semidirect
270. #14519748C23semidirect
271. #14519748C23semidirect
272. #14519747C23semidirect
273. #14519747C23semidirect
274. #14519747C23semidirect
275. #14519747C23semidirect
276. #14519746C23semidirect
277. #14519746C23semidirect
278. #14519745C23semidirect
279. #14519745C23semidirect
280. #14519745C23semidirect
281. #14519745C23semidirect
282. #14519745C23semidirect
283. #14519745C23semidirect
284. #14519745C23semidirect
285. #14519745C23semidirect
286. #14519745C23semidirect
287. #14519745C23semidirect
288. #14519745C23semidirect
289. C4×D244C23semidirect
290. C4×D244C23semidirect
291. D4×Dic61C23semidirect
292. D4×Dic61C23semidirect
293. #14519739C23semidirect
294. C4×C22⋊D61C23semidirect
295. C4×C22⋊D61C23semidirect
296. C4×C22⋊D61C23semidirect
297. #14519737C23semidirect
298. #14519737C23semidirect
299. #14519735C23semidirect
300. #14519734C23semidirect
301. C2×C4⋊Dic61C23semidirect
302. C2×C4⋊Dic61C23semidirect
303. C2×C4⋊Dic61C23semidirect
304. C2×#11758196C23semidirect
305. C2×#11758196C23semidirect
306. C2×#11758196C23semidirect
307. C2×#11758196C23semidirect
308. C2×#11758196C23semidirect
311. C2×C22⋊Dic61C23semidirect
312. C2×C22⋊Dic61C23semidirect
313. C2×C22⋊Dic61C23semidirect
314. C2×C22⋊Dic61C23semidirect
315. C2×C22⋊Dic61C23semidirect
316. C2×C22⋊Dic61C23semidirect
317. C2×C22⋊Dic61C23semidirect
324. C2×#11758198C23semidirect
325. C2×#11758198C23semidirect
326. C2×#11758198C23semidirect
327. C2×#11758198C23semidirect
328. C2×#11758198C23semidirect
329. C2×#11758198C23semidirect
330. C2×#11758198C23semidirect
331. C2×#11758198C23semidirect
332. C2×#11758198C23semidirect
333. C2×#11758198C23semidirect
334. C22⋊C4×D61C23semidirect
335. C22⋊C4×D61C23semidirect
336. C22⋊C4×D61C23semidirect
337. C2×C4×Dic61C23semidirect
338. C2×C4×Dic61C23semidirect
340. C25×C61C23semidirect
349. C22×D4×C61C23semidirect
350. C22×D4×C61C23semidirect
351. C22×D4×C61C23semidirect
352. C22×D4×C61C23semidirect
353. C22×D4×C61C23semidirect
354. C22×D4×C61C23semidirect
355. C22×D4×C61C23semidirect
356. C22×D4×C61C23semidirect
358. C23×C4×C61C23semidirect
359. C23×C4×C61C23semidirect
360. #127×C61C23semidirect
361. #121×C61C23semidirect
362. #121×C61C23semidirect
363. #121×C61C23semidirect
364. #120×C61C23semidirect
365. #120×C61C23semidirect
366. C4×D4×C61C23semidirect
367. C4×D4×C61C23semidirect
368. C2×C4⋊C4×C61C23semidirect
369. C2×C4⋊C4×C61C23semidirect
371. C2×C22⋊C4×C61C23semidirect
372. C2×C22⋊C4×C61C23semidirect
373. C2×C22⋊C4×C61C23semidirect
374. C2×C22⋊C4×C61C23semidirect
375. C2×C42×C61C23semidirect
388. C24×C61C24semidirect
413. C23×D61C2×D4semidirect
425. C23×D61C24semidirect
438. C2×D4×C61C2×D4semidirect
444. C2×D4×C61C24semidirect
445. C2×D4×C61C24semidirect
446. C2×D4×C61C24semidirect
447. C2×D4×C61C24semidirect
448. C2×D4×C61C24semidirect
459. C22×C4×C61C24semidirect
460. C22×C4×C61C24semidirect
481. C2×C22⋊D61C2×D4semidirect
491. C2×C22⋊D61C24semidirect
492. C2×C22⋊D61C24semidirect
493. C2×C22⋊D61C24semidirect
494. C2×C22⋊D61C24semidirect
495. C2×C22⋊D61C24semidirect
496. C2×C22⋊D61C24semidirect
497. C2×C22⋊D61C24semidirect
498. C2×C22⋊D61C24semidirect
511. C22×Dic61C24semidirect
512. C22×Dic61C24semidirect
513. C22×Dic61C24semidirect
526. D4×D61C2×D4semidirect
535. C2×D244C2×D4semidirect
541. C2×D244C24semidirect
550. C2×C4×D61C2×D4semidirect
555. C2×C4×D61C24semidirect
556. C2×C4×D61C24semidirect
557. C2×C4×D61C24semidirect
558. C2×C4×D61C24semidirect
561. C2×Dic122C24semidirect
562. C2×Dic122C24semidirect
563. C4⋊C4×C61C24semidirect
564. C4⋊C4×C61C24semidirect
566. C22⋊C4×C61C24semidirect
567. C22⋊C4×C61C24semidirect
568. C22⋊C4×C61C24semidirect
569. C22⋊C4×C61C24semidirect
570. C42×C61C24semidirect
573. C22⋊Dic61C24semidirect
574. C22⋊Dic61C24semidirect
575. C22⋊Dic61C24semidirect
576. C22⋊Dic61C24semidirect
577. C22⋊Dic61C24semidirect
578. C22⋊Dic61C24semidirect
585. #11758198C24semidirect
586. #11758198C24semidirect
587. #11758198C24semidirect
588. #11758198C24semidirect
589. #11758198C24semidirect
590. #11758198C24semidirect
591. #11758198C24semidirect
592. #11758198C24semidirect
593. C4⋊Dic61C24semidirect
594. C4⋊Dic61C24semidirect
595. C4⋊Dic61C24semidirect
596. #11758196C24semidirect
597. #11758196C24semidirect
598. #11758196C24semidirect
599. #11758196C24semidirect
600. #11758196C24semidirect
601. C4×Dic61C24semidirect
602. C4×Dic61C24semidirect
625. C23×C61H(5,𝔽2)semidirect
674. C22×D61C22×D4semidirect
675. C22×D61H(5,𝔽2)semidirect
690. D4×C61C22×D4semidirect
722. C22⋊D61C22×D4semidirect
746. D244C22×D4semidirect
754. C4×D61C22×D4semidirect
782. C22×C61C2×H(5,𝔽2)semidirect
810. C2×D61C2×H(5,𝔽2)semidirect
838. C2×D42D61semidirect
853. C2×C61#3484semidirect
887. C23×D4C2×D61semidirect
888. C23×D4C2×D61semidirect
889. C23×D4C2×D61semidirect
902. D42C2×D61semidirect
909. C2×#127C2×D61semidirect
941. C2×#121C2×D61semidirect
942. C2×#121C2×D61semidirect
943. C2×#121C2×D61semidirect
963. C2×#120C2×D61semidirect
964. C2×#120C2×D61semidirect
976. C2×C4×D4C2×D61semidirect
977. C2×C4×D4C2×D61semidirect
986. C61C2×#3484semidirect
999. C25C22×D61semidirect
1075. C22×D4C22×D61semidirect
1076. C22×D4C22×D61semidirect
1077. C22×D4C22×D61semidirect
1078. C22×D4C22×D61semidirect
1079. C22×D4C22×D61semidirect
1080. C22×D4C22×D61semidirect
1081. C22×D4C22×D61semidirect
1082. C22×D4C22×D61semidirect
1098. C23×C4C22×D61semidirect
1099. C23×C4C22×D61semidirect
1102. #127C22×D61semidirect
1132. #121C22×D61semidirect
1133. #121C22×D61semidirect
1134. #121C22×D61semidirect
1152. #120C22×D61semidirect
1153. #120C22×D61semidirect
1164. C4×D4C22×D61semidirect
1165. C4×D4C22×D61semidirect
1176. C2×C4⋊C4C22×D61semidirect
1177. C2×C4⋊C4C22×D61semidirect
1207. C2×C22⋊C4C22×D61semidirect
1208. C2×C22⋊C4C22×D61semidirect
1209. C2×C22⋊C4C22×D61semidirect
1210. C2×C22⋊C4C22×D61semidirect
1213. C2×C42C22×D61semidirect
1263. C24C23×D61semidirect
1346. C2×D4D4×D61semidirect
1352. C2×D4C23×D61semidirect
1353. C2×D4C23×D61semidirect
1354. C2×D4C23×D61semidirect
1355. C2×D4C23×D61semidirect
1356. C2×D4C23×D61semidirect
1399. C22×C4C23×D61semidirect
1400. C22×C4C23×D61semidirect
1409. C4⋊C4C23×D61semidirect
1410. C4⋊C4C23×D61semidirect
1434. C22⋊C4C23×D61semidirect
1435. C22⋊C4C23×D61semidirect
1436. C22⋊C4C23×D61semidirect
1437. C22⋊C4C23×D61semidirect
1440. C42C23×D61semidirect
1512. C23#14519822semidirect
1553. D4C2×D4×D61semidirect
1646. C22C2×#14519822semidirect
1671. C2#21459447direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145198222
C23×D4×D612
#214594472
C2×#168404092
C2×#168404082
C2×#168404072
C2×#168404062
C2×#168404012
C2×#168403992
C2×#168403972
C2×#168403962
C2×D4×C22⋊D612
C2×#168403942
C2×#168403282
C2×#168403252
C2×#168403222
C2×#168403202
C2×#168402722
C2×#168402712
C22×#145197452
C2×#120×D612
C2×#168402342
C2×D42×C612
C2×#348461