Finite Group Databasebeta

← C2×#21459989 #30587276

Subgroups — C2×#21459989 #30587276

Order 15616.

7430 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459989C2132yesmaximal, direct product factor
2C2×#16840511C211yesmaximal, characteristic, complemented
3C2×#16840509C211yesmaximal, characteristic, complemented
4C2×#16840508C211yesmaximal, characteristic, complemented
5C2×#16840500C211yesmaximal, characteristic, complemented
6C2×#16840496C211yesmaximal, characteristic, complemented
7C2×#16840461C211yesmaximal, characteristic, complemented
8C2×#16840460C211yesmaximal, characteristic, complemented
9C2×#16840449C211yesmaximal, characteristic, complemented
10C2×#16840447C211yesmaximal, characteristic, complemented
11C2×#16840441C211yesmaximal, characteristic, complemented
12C2×#16840439C211yesmaximal, characteristic, complemented
13C2×#16840435C211yesmaximal, characteristic, complemented
14C2×#16840411C211yesmaximal, characteristic, complemented
15C2×#16840401C211yesmaximal, characteristic, complemented
16C2×#16840400C211yesmaximal, characteristic, complemented
17C2×#16840386C211yesmaximal, characteristic, complemented
18C2×#16840382C211yesmaximal, characteristic, complemented
19C2×#16840364C211yesmaximal, characteristic, complemented
20C2×#16840362C211yesmaximal, characteristic, complemented
21C2×#16840361C211yesmaximal, characteristic, complemented
22C2×#16840359C211yesmaximal, characteristic, complemented
23C2×#16840349C211yesmaximal, characteristic, complemented
24C2×#16840348C211yesmaximal, characteristic, complemented
25C2×#16840345C211yesmaximal, characteristic, complemented
26C2×#16840345C211yesmaximal, characteristic, complemented
27C2×#16840326C211yesmaximal, characteristic, complemented
28C2×#16840323C211yesmaximal, characteristic, complemented
29C2×#16840270C211yesmaximal, characteristic, complemented
30C2×#16840269C211yesmaximal, characteristic, complemented
31C22×#14519762C211yesmaximal, characteristic, complemented
32C2×C61×#547C211yesmaximal, characteristic, complemented
33C22×#11758224C2211yescharacteristic
34C23×D244C2211yescharacteristic
35C22×D4×D61C2211yescharacteristic
36C23×C4×D61C2211yescharacteristic, complemented
37#16840511C22116yescomplemented
38#16840509C22116yescomplemented
39#16840508C22116yescomplemented
40#16840500C22116yescomplemented
41#16840496C22116yescomplemented
42#16840461C22116yescomplemented
43#16840460C22116yescomplemented
44#16840449C22116yescomplemented
45#16840447C22116yescomplemented
46#16840441C22116yescomplemented
47#16840439C22116yescomplemented
48#16840435C22116yescomplemented
49#16840411C22116yescomplemented
50#16840401C22116yescomplemented
51#16840400C22116yescomplemented
52#16840386C22116yescomplemented
53#16840382C22116yescomplemented
54#16840364C22116yescomplemented
55#16840362C22116yescomplemented
56#16840361C22116yescomplemented
57#16840359C22116yescomplemented
58#16840349C22116yescomplemented
59#16840348C22116yescomplemented
60#16840345C22116yescomplemented
61#16840345C22116yescomplemented
62#16840326C22116yescomplemented
63#16840323C22116yescomplemented
64C2×#14519775C2211yescharacteristic, complemented
65C2×#14519773C2211yescharacteristic
66C2×#14519773C2211yescharacteristic, complemented
67C2×#14519772C2211yescharacteristic, complemented
68C2×#14519772C2211yescharacteristic, complemented
69C2×#14519772C2211yescharacteristic, complemented
70C2×#14519772C2211yescharacteristic, complemented
71C2×#14519772C2211yescharacteristic, complemented
72C2×#14519772C2211yescharacteristic, complemented
73C2×#14519772C2211yescharacteristic, complemented
74C2×#14519772C2211yescharacteristic, complemented
75C2×#14519771C2211yescharacteristic, complemented
76C2×#14519771C2211yescharacteristic, complemented
77C2×#14519770C2211yescharacteristic, complemented
78C2×#14519770C2211yescharacteristic, complemented
79C2×#14519768C2211yescharacteristic, complemented
80C2×#14519768C2211yescharacteristic, complemented
81C2×#14519767C2211yescharacteristic, complemented
82C2×#14519767C2211yescharacteristic, complemented
83C2×#14519767C2211yescharacteristic, complemented
84C2×#14519767C2211yescharacteristic, complemented
85C2×#14519766C2211yescharacteristic
86C2×#14519766C2211yescharacteristic, complemented
87C2×#14519766C2211yescharacteristic, complemented
88C2×#14519765C2211yescharacteristic, complemented
89C2×#14519763C2211yescharacteristic, complemented
90C2×#14519763C2211yescharacteristic, complemented
91C2×#14519763C2211yescharacteristic, complemented
92C2×#14519763C2211yescharacteristic, complemented
93C2×#14519763C2211yescharacteristic, complemented
94C2×#14519763C2211yescharacteristic, complemented
95#16840270C22116yescomplemented
96#16840269C22116yescomplemented
97C2×#14519762C2211yescharacteristic
98C2×#14519762C2211yescharacteristic
99C2×#14519762C2211yescharacteristic
100C2×#14519762C2211yescharacteristic
101C2×#14519762C2211yescharacteristic
102C2×#14519762C2211yescharacteristic
103C2×#14519762C2211yescharacteristic, complemented
104C2×#14519762C2211yescharacteristic, complemented
105C2×#14519762C2211yescharacteristic, complemented
106C2×#14519762C2211yescharacteristic, complemented
107C2×#14519762C2211yescharacteristic, complemented
108C2×#14519762C2211yescharacteristic, complemented
109C2×#14519762C22116yescomplemented
110C2×#14519761C2211yescharacteristic, complemented
111C2×#14519761C2211yescharacteristic, complemented
112C2×#14519761C2211yescharacteristic, complemented
113C2×#14519760C2211yescharacteristic
114C2×#14519760C2211yescharacteristic
115C2×#14519760C2211yescharacteristic, complemented
116C2×#14519760C2211yescharacteristic, complemented
117C2×#14519760C2211yescharacteristic, complemented
118C2×#14519760C2211yescharacteristic, complemented
119C2×#14519759C2211yescharacteristic, complemented
120C2×#14519759C2211yescharacteristic, complemented
121C2×#14519758C2211yescharacteristic
122C2×#14519758C2211yescharacteristic, complemented
123C2×#14519758C2211yescharacteristic, complemented
124C2×#14519757C2211yescharacteristic, complemented
125C2×#14519757C2211yescharacteristic, complemented
126C2×#14519756C2211yescharacteristic, complemented
127C2×#14519756C2211yescharacteristic, complemented
128C2×#14519755C2211yescharacteristic, complemented
129C2×#14519755C2211yescharacteristic, complemented
130C2×#14519755C2211yescharacteristic, complemented
131C2×#14519755C2211yescharacteristic, complemented
132C2×#14519754C2211yescharacteristic, complemented
133C2×#14519754C2211yescharacteristic, complemented
134C2×#14519753C2211yescharacteristic, complemented
135C2×#14519753C2211yescharacteristic, complemented
136C2×#14519753C2211yescharacteristic, complemented
137C2×#14519753C2211yescharacteristic, complemented
138C2×#14519752C2211yescharacteristic
139C2×#14519752C2211yescharacteristic
140C2×#14519751C2211yescharacteristic
141C2×#14519751C2211yescharacteristic
142C2×#14519751C2211yescharacteristic, complemented
143C2×#14519751C2211yescharacteristic, complemented
144C2×#14519751C2211yescharacteristic, complemented
145C2×#14519751C2211yescharacteristic, complemented
146C2×#14519750C2211yescharacteristic
147C2×#14519750C2211yescharacteristic
148C2×#14519750C2211yescharacteristic, complemented
149C2×#14519750C2211yescharacteristic, complemented
150C2×#14519750C2211yescharacteristic, complemented
151C2×#14519750C2211yescharacteristic, complemented
152C2×#14519749C2211yescharacteristic
153C2×#14519749C2211yescharacteristic, complemented
154C2×#14519749C2211yescharacteristic, complemented
155C2×#14519749C2211yescharacteristic, complemented
156C2×#14519749C2211yescharacteristic, complemented
157C2×#14519749C2211yescharacteristic, complemented
158C2×#14519748C2211yescharacteristic, complemented
159C2×#14519748C2211yescharacteristic, complemented
160C2×#14519747C2211yescharacteristic
161C2×#14519747C2211yescharacteristic
162C2×#14519747C2211yescharacteristic
163C2×#14519745C2211yescharacteristic
164C2×#14519745C2211yescharacteristic
165C2×#14519745C2211yescharacteristic
166C2×#14519745C2211yescharacteristic, complemented
167C2×#14519745C2211yescharacteristic, complemented
168C2×#14519745C2211yescharacteristic, complemented
169C2×#14519745C2211yescharacteristic, complemented
170C2×#14519742C2211yescharacteristic, complemented
171C2×#14519742C2211yescharacteristic, complemented
172C2×D4×Dic61C2211yescharacteristic
173C2×D4×Dic61C2211yescharacteristic, complemented
174C2×#14519739C2211yescharacteristic, complemented
175C2×#14519739C2211yescharacteristic, complemented
176C2×C4×C22⋊D61C2211yescharacteristic
177C2×C4×C22⋊D61C2211yescharacteristic, complemented
178C2×C4×C22⋊D61C2211yescharacteristic, complemented
179C2×C4×C22⋊D61C2211yescharacteristic, complemented
180C2×C4×C22⋊D61C2211yescharacteristic, complemented
181C2×C4×C22⋊D61C2211yescharacteristic, complemented
182C2×C4×C22⋊D61C2211yescharacteristic, complemented
183C2×C4×C22⋊D61C2211yescharacteristic, complemented
184C2×#14519737C2211yescharacteristic, complemented
185C2×#14519737C2211yescharacteristic, complemented
186C2×#14519737C2211yescharacteristic, complemented
187C2×#14519737C2211yescharacteristic, complemented
188C2×#14519736C2211yescharacteristic, complemented
189C2×#14519736C2211yescharacteristic, complemented
190C2×#14519735C2211yescharacteristic, complemented
191C2×#14519735C2211yescharacteristic, complemented
192C2×#14519734C2211yescharacteristic, complemented
193C2×#14519733C2211yescharacteristic, complemented
194C2×#14519733C2211yescharacteristic, complemented
195C22×#11758196C2211yescharacteristic, complemented
196C22×#11758196C2211yescharacteristic, complemented
197C22×#11758198C2211yescharacteristic
198C22×#11758198C2211yescharacteristic
199C22×#11758198C2211yescharacteristic, complemented
200C22×#11758198C2211yescharacteristic, complemented
201C2×C22⋊C4×D61C2211yescharacteristic
202C2×C22⋊C4×D61C2211yescharacteristic, complemented
203C22×#41×C61C2211yescharacteristic
204C22×#41×C61C2211yescharacteristic, complemented
205C61×#547C22116yescomplemented
206C2×C4⋊Q8×C61C2211yescharacteristic, complemented
207C2×#123×C61C2211yescharacteristic
208C2×#123×C61C2211yescharacteristic, complemented
209C2×#123×C61C2211yescharacteristic, complemented
210C2×#123×C61C2211yescharacteristic, complemented
211C2×C22⋊Q8×C61C2211yescharacteristic, complemented
212C2×C22⋊Q8×C61C2211yescharacteristic, complemented
213C2×#121×C61C2211yescharacteristic
214C2×#121×C61C2211yescharacteristic, complemented
215C2×C4×D4×C61C2211yescharacteristic, complemented
216C2×C4×D4×C61C2211yescharacteristic, complemented
217C22×C4⋊C4×C61C2211yescharacteristic, complemented
218C22×C4⋊C4×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C24×D61C2311yescharacteristic
222C2×#11758224—44no—
223C2×#11758224C2318yes—
224C22×Dic122C2311yescharacteristic
225C22×Dic122C2311yescharacteristic
226C22×Dic122C2311yescharacteristic
227C22×D244—44no—
228C22×D244C2311yescharacteristic
229C22×D244C2311yescharacteristic
230C22×D244C2311yescharacteristic
231C22×D244C2311yescharacteristic
232C22×D244C2311yescharacteristic
233C22×D244C2311yescharacteristic
234C22×D244C2311yescharacteristic
235C22×D244C2318yes—
236C22×C22⋊D61C2311yescharacteristic
237C22×C22⋊D61C2311yescharacteristic
238C22×C22⋊D61C2311yescharacteristic
239C22×C22⋊D61C2311yescharacteristic
240C22×C22⋊D61C2311yescharacteristic
241C22×C22⋊D61C2311yescharacteristic
242C22×C22⋊D61C2311yescharacteristic
243C22×C22⋊D61C2311yescharacteristic
244C22×C22⋊D61C2311yescharacteristic
245C22×C22⋊D61C2311yescharacteristic
246C22×C22⋊D61C2311yescharacteristic
247C22×C22⋊D61C2311yescharacteristic
248C22×C22⋊D61C2311yescharacteristic
249C22×C22⋊D61C2311yescharacteristic
250C2×D4×D61—44no—
251C2×D4×D61C2318yes—
252C23×Dic61C2311yescharacteristic
253C23×Dic61C2311yescharacteristic
254C23×Dic61C2311yescharacteristic
255C23×Dic61C2311yescharacteristic
256C23×Dic61C2311yescharacteristic
257C22×C4×D61—44no—
258C22×C4×D61C2311yescharacteristic
259C22×C4×D61C2311yescharacteristic
260C22×C4×D61C2311yescharacteristic
261C22×C4×D61C2311yescharacteristic
262C22×C4×D61C2311yescharacteristic
263C22×C4×D61C2311yescharacteristic
264C22×C4×D61C2311yescharacteristic
265C22×C4×D61C2311yescharacteristic
266C22×C4×D61C2311yescharacteristic
267C22×C4×D61C2318yescomplemented
268#14519775C2318yescomplemented
269#14519773C2318yes—
270#14519773C2318yescomplemented
271#14519772C2318yescomplemented
272#14519772C2318yescomplemented
273#14519772C2318yescomplemented
274#14519772C2318yescomplemented
275#14519772C2318yescomplemented
276#14519772C2318yescomplemented
277#14519772C2318yescomplemented
278#14519772C2318yescomplemented
279#14519771C2318yescomplemented
280#14519771C2318yescomplemented
281#14519770C2318yescomplemented
282#14519770C2318yescomplemented
283#14519768C2318yescomplemented
284#14519768C2318yescomplemented
285#14519767C2318yescomplemented
286#14519767C2318yescomplemented
287#14519767C2318yescomplemented
288#14519767C2318yescomplemented
289#14519766C2318yes—
290#14519766C2318yescomplemented
291#14519766C2318yescomplemented
292#14519765C2318yescomplemented
293#14519763C2318yescomplemented
294#14519763C2318yescomplemented
295#14519763C2318yescomplemented
296#14519763C2318yescomplemented
297#14519763C2318yescomplemented
298#14519763C2318yescomplemented
299#14519762C2318yes—
300#14519762C2318yes—
301#14519762C2318yes—
302#14519762C2318yes—
303#14519762C2318yes—
304#14519762C2318yes—
305#14519762C2318yescomplemented
306#14519762C2318yescomplemented
307#14519762C2318yescomplemented
308#14519762C2318yescomplemented
309#14519762C2318yescomplemented
310#14519762C2318yescomplemented
311#14519761C2318yescomplemented
312#14519761C2318yescomplemented
313#14519761C2318yescomplemented
314#14519760C2318yes—
315#14519760C2318yes—
316#14519760C2318yescomplemented
317#14519760C2318yescomplemented
318#14519760C2318yescomplemented
319#14519760C2318yescomplemented
320#14519759C2318yescomplemented
321#14519759C2318yescomplemented
322#14519758C2318yes—
323#14519758C2318yescomplemented
324#14519758C2318yescomplemented
325#14519757C2318yescomplemented
326#14519757C2318yescomplemented
327#14519756C2318yescomplemented
328#14519756C2318yescomplemented
329#14519755C2318yescomplemented
330#14519755C2318yescomplemented
331#14519755C2318yescomplemented
332#14519755C2318yescomplemented
333#14519754C2318yescomplemented
334#14519754C2318yescomplemented
335#14519753C2318yescomplemented
336#14519753C2318yescomplemented
337#14519753C2318yescomplemented
338#14519753C2318yescomplemented
339#14519752C2318yes—
340#14519752C2318yes—
341#14519751C2318yes—
342#14519751C2318yes—
343#14519751C2318yescomplemented
344#14519751C2318yescomplemented
345#14519751C2318yescomplemented
346#14519751C2318yescomplemented
347#14519750C2318yes—
348#14519750C2318yes—
349#14519750C2318yescomplemented
350#14519750C2318yescomplemented
351#14519750C2318yescomplemented
352#14519750C2318yescomplemented
353#14519749C2318yes—
354#14519749C2318yescomplemented
355#14519749C2318yescomplemented
356#14519749C2318yescomplemented
357#14519749C2318yescomplemented
358#14519749C2318yescomplemented
359#14519748C2318yescomplemented
360#14519748C2318yescomplemented
361#14519747C2318yes—
362#14519747C2318yes—
363#14519747C2318yes—
364#14519745C2318yes—
365#14519745C2318yes—
366#14519745C2318yes—
367#14519745C2318yescomplemented
368#14519745C2318yescomplemented
369#14519745C2318yescomplemented
370#14519745C2318yescomplemented
371#14519742C2318yescomplemented
372#14519742C2318yescomplemented
373D4×Dic61C2318yes—
374D4×Dic61C2318yescomplemented
375#14519739C2318yescomplemented
376#14519739C2318yescomplemented
377C4×C22⋊D61C2318yes—
378C4×C22⋊D61C2318yescomplemented
379C4×C22⋊D61C2318yescomplemented
380C4×C22⋊D61C2318yescomplemented
381C4×C22⋊D61C2318yescomplemented
382C4×C22⋊D61C2318yescomplemented
383C4×C22⋊D61C2318yescomplemented
384C4×C22⋊D61C2318yescomplemented
385#14519737C2318yescomplemented
386#14519737C2318yescomplemented
387#14519737C2318yescomplemented
388#14519737C2318yescomplemented
389#14519736C2318yescomplemented
390#14519736C2318yescomplemented
391#14519735C2318yescomplemented
392#14519735C2318yescomplemented
393#14519734C2318yescomplemented
394#14519733C2318yescomplemented
395#14519733C2318yescomplemented
396C2×C4⋊Dic61C2311yescharacteristic
397C2×C4⋊Dic61C2311yescharacteristic
398C2×C4⋊Dic61C2311yescharacteristic
399C2×C4⋊Dic61C2311yescharacteristic
400C2×C4⋊Dic61C2311yescharacteristic
401C2×C4⋊Dic61C2311yescharacteristic
402C2×C4⋊Dic61C2311yescharacteristic
403C2×C4⋊Dic61C2311yescharacteristic
404C2×#11758196C2311yescharacteristic
405C2×#11758196C2311yescharacteristic
406C2×#11758196C2311yescharacteristic
407C2×#11758196C2311yescharacteristic
408C2×#11758196C2311yescharacteristic
409C2×#11758196C2311yescharacteristic
410C2×#11758196C2311yescharacteristic
411C2×#11758196C2311yescharacteristic
412C2×#11758196C2311yescharacteristic
413C2×#11758196C2311yescharacteristic
414C2×#11758196C2311yescharacteristic
415C2×#11758196C2311yescharacteristic
416C2×#11758196C2311yescharacteristic
417C2×#11758196C2311yescharacteristic
418C2×#11758196C2311yescharacteristic
419C2×#11758196C2311yescharacteristic
420C2×#11758196C2311yescharacteristic
421C2×#11758196C2311yescharacteristic
422C2×#11758196C2311yescharacteristic
423C2×#11758196C2311yescharacteristic
424C2×#11758196C2318yescomplemented
425C2×#11758196C2318yescomplemented
426C2×C22⋊Dic61C2311yescharacteristic
427C2×C22⋊Dic61C2311yescharacteristic
428C2×C22⋊Dic61C2311yescharacteristic
429C2×C22⋊Dic61C2311yescharacteristic
430C2×C22⋊Dic61C2311yescharacteristic
431C2×C22⋊Dic61C2311yescharacteristic
432C2×C22⋊Dic61C2311yescharacteristic
433C2×C22⋊Dic61C2311yescharacteristic
434C2×C22⋊Dic61C2311yescharacteristic
435C2×C22⋊Dic61C2311yescharacteristic
436C2×#11758198C2311yescharacteristic
437C2×#11758198C2311yescharacteristic
438C2×#11758198C2311yescharacteristic
439C2×#11758198C2311yescharacteristic
440C2×#11758198C2311yescharacteristic
441C2×#11758198C2311yescharacteristic
442C2×#11758198C2311yescharacteristic
443C2×#11758198C2311yescharacteristic
444C2×#11758198C2311yescharacteristic
445C2×#11758198C2311yescharacteristic
446C2×#11758198C2311yescharacteristic
447C2×#11758198C2318yes—
448C2×#11758198C2318yes—
449C2×#11758198C2311yescharacteristic
450C2×#11758198C2311yescharacteristic
451C2×#11758198C2311yescharacteristic
452C2×#11758198C2311yescharacteristic
453C2×#11758198C2311yescharacteristic
454C2×#11758198C2311yescharacteristic
455C2×#11758198C2311yescharacteristic
456C2×#11758198C2311yescharacteristic
457C2×#11758198C2311yescharacteristic
458C2×#11758198C2311yescharacteristic
459C2×#11758198C2311yescharacteristic
460C2×#11758198C2311yescharacteristic
461C2×#11758198C2311yescharacteristic
462C2×#11758198C2311yescharacteristic
463C2×#11758198C2311yescharacteristic
464C2×#11758198C2311yescharacteristic
465C2×#11758198C2311yescharacteristic
466C2×#11758198C2311yescharacteristic
467C2×#11758198C2311yescharacteristic
468C2×#11758198C2311yescharacteristic
469C2×#11758198C2311yescharacteristic
470C2×#11758198C2318yescomplemented
471C2×#11758198C2318yescomplemented
472C22⋊C4×D61C2318yes—
473C22⋊C4×D61C2318yescomplemented
474C2×C4×Dic61C2311yescharacteristic
475C2×C4×Dic61C2311yescharacteristic
476C2×C4×Dic61C2311yescharacteristic
477C2×C4×Dic61C2311yescharacteristic
478C2×C4×Dic61C2311yescharacteristic
479C2×C4×Dic61C2311yescharacteristic
480C2×C4×Dic61C2311yescharacteristic
481C2×C4×Dic61C2311yescharacteristic
482C2×C4×Dic61C2311yescharacteristic
483C2×#41×C61—44no—
484C2×#41×C61—44no—
485C2×#41×C61C2318yes—
486C2×#41×C61C2318yescomplemented
487C22×Q8×C61C2311yescharacteristic
488C22×Q8×C61C2311yescharacteristic
489C22×D4×C61C2311yescharacteristic
490C22×D4×C61C2311yescharacteristic
491C22×D4×C61C2311yescharacteristic
492C22×D4×C61C2311yescharacteristic
493C22×D4×C61C2311yescharacteristic
494C22×D4×C61C2311yescharacteristic
495C23×C4×C61C2311yescharacteristic
496C23×C4×C61C2311yescharacteristic
497C23×C4×C61C2311yescharacteristic
498C23×C4×C61C2311yescharacteristic
499C23×C4×C61C2311yescharacteristic
500C23×C4×C61C2311yescharacteristic
501C23×C4×C61C2311yescharacteristic
502C23×C4×C61C2311yescharacteristic
503C4⋊Q8×C61C2318yescomplemented
504#123×C61C2318yes—
505#123×C61C2318yescomplemented
506#123×C61C2318yescomplemented
507#123×C61C2318yescomplemented
508C22⋊Q8×C61C2318yescomplemented
509C22⋊Q8×C61C2318yescomplemented
510#121×C61C2318yes—
511#121×C61C2318yescomplemented
512C4×D4×C61C2318yescomplemented
513C4×D4×C61C2318yescomplemented
514C2×C4⋊C4×C61C2311yescharacteristic
515C2×C4⋊C4×C61C2311yescharacteristic
516C2×C4⋊C4×C61C2311yescharacteristic
517C2×C4⋊C4×C61C2311yescharacteristic
518C2×C4⋊C4×C61C2311yescharacteristic
519C2×C4⋊C4×C61C2311yescharacteristic
520C2×C4⋊C4×C61C2311yescharacteristic
521C2×C4⋊C4×C61C2311yescharacteristic
522C2×C4⋊C4×C61C2311yescharacteristic
523C2×C4⋊C4×C61C2311yescharacteristic
524C2×C4⋊C4×C61C2318yescomplemented
525C2×C4⋊C4×C61C2318yescomplemented
526C2×C22⋊C4×C61C2311yescharacteristic
527C2×C22⋊C4×C61C2311yescharacteristic
528C2×C22⋊C4×C61C2311yescharacteristic
529C2×C22⋊C4×C61C2311yescharacteristic
530C2×C22⋊C4×C61C2311yescharacteristic
531C2×C22⋊C4×C61C2311yescharacteristic
532C2×C22⋊C4×C61C2311yescharacteristic
533C2×C22⋊C4×C61C2311yescharacteristic
534C2×C42×C61C2311yescharacteristic
535C24×C61C2411yescharacteristic
536C24×C61C2411yescharacteristic
537C24×C61C2411yescharacteristic
538C24×C61C2411yescharacteristic
539C23×D61—24no—
540C23×D61—24no—
541C23×D61—42no—
542C23×D61—42no—
543C23×D61—42no—
544C23×D61—42no—
545C23×D61—42no—
546C23×D61—42no—
547C23×D61—42no—
548C23×D61C2411yescharacteristic
549C23×D61C2411yescharacteristic
550C23×D61C2411yescharacteristic
551C23×D61C2411yescharacteristic
552C23×D61C2411yescharacteristic
553C23×D61C2414yes—
554C23×D61C2414yes—
555C23×D61C2414yes—
556#41×C61—416no—
557#41×C61—416no—
558C2×Q8×C61—42no—
559C2×Q8×C61—42no—
560C2×Q8×C61C2414yes—
561C2×Q8×C61C2414yes—
562C2×D4×C61—24no—
563C2×D4×C61—24no—
564C2×D4×C61—24no—
565C2×D4×C61—42no—
566C2×D4×C61—42no—
567C2×D4×C61—42no—
568C2×D4×C61C2414yes—
569C2×D4×C61C2414yes—
570C2×D4×C61C2414yes—
571C2×D4×C61C2414yes—
572C2×D4×C61C2414yes—
573C2×D4×C61C2414yes—
574C22×C4×C61—24no—
575C22×C4×C61—24no—
576C22×C4×C61—42no—
577C22×C4×C61—42no—
578C22×C4×C61—42no—
579C22×C4×C61—42no—
580C22×C4×C61—42no—
581C22×C4×C61—42no—
582C22×C4×C61C2411yescharacteristic
583C22×C4×C61C2411yescharacteristic
584C22×C4×C61C2411yescharacteristic
585C22×C4×C61C2411yescharacteristic
586C22×C4×C61C2411yescharacteristic
587C22×C4×C61C2411yescharacteristic
588C22×C4×C61C2411yescharacteristic
589C22×C4×C61C2414yes—
590C22×C4×C61C2411yescharacteristic
591C22×C4×C61C2411yescharacteristic
592C22×C4×C61C2414yes—
593C22×C4×C61C2411yescharacteristic
594C22×C4×C61C2411yescharacteristic
595C22×C4×C61C2414yes—
596C22×C4×C61C2414yes—
597C22×C4×C61C2414yes—
598C22×C4×C61C2414yes—
599C22×C4×C61C2414yes—
600C22×C4×C61C2414yes—
601C2×C22⋊D61—24no—
602C2×C22⋊D61—42no—
603C2×C22⋊D61—42no—
604C2×C22⋊D61—42no—
605C2×C22⋊D61—42no—
606C2×C22⋊D61—42no—
607C2×C22⋊D61—42no—
608C2×C22⋊D61—42no—
609C2×C22⋊D61—42no—
610C2×C22⋊D61—42no—
611C2×C22⋊D61—42no—
612C2×C22⋊D61—42no—
613C2×C22⋊D61—42no—
614C2×C22⋊D61—42no—
615C2×C22⋊D61C2414yes—
616C2×C22⋊D61C2414yes—
617C2×C22⋊D61C2414yes—
618C2×C22⋊D61C2414yes—
619C2×C22⋊D61C2414yes—
620C2×C22⋊D61C2414yes—
621C2×C22⋊D61C2414yes—
622C2×C22⋊D61C2414yes—
623C2×C22⋊D61C2414yes—
624C2×C22⋊D61C2414yes—
625C2×C22⋊D61C2414yes—
626C2×C22⋊D61C2414yes—
627C2×C22⋊D61C2414yes—
628C2×C22⋊D61C2414yes—
629C22×Dic61—24no—
630C22×Dic61—42no—
631C22×Dic61—42no—
632C22×Dic61—42no—
633C22×Dic61—42no—
634C22×Dic61C2411yescharacteristic
635C22×Dic61C2411yescharacteristic
636C22×Dic61C2411yescharacteristic
637C22×Dic61C2411yescharacteristic
638C22×Dic61C2411yescharacteristic
639C22×Dic61C2411yescharacteristic
640C22×Dic61C2414yes—
641C22×Dic61C2411yescharacteristic
642C22×Dic61C2411yescharacteristic
643C22×Dic61C2411yescharacteristic
644C22×Dic61C2411yescharacteristic
645C22×Dic61C2411yescharacteristic
646C22×Dic61C2414yes—
647C22×Dic61C2414yes—
648C22×Dic61C2414yes—
649C22×Dic61C2414yes—
650#11758224—416no—
651D4×D61—416no—
652C2×D244—42no—
653C2×D244—42no—
654C2×D244—42no—
655C2×D244—42no—
656C2×D244—42no—
657C2×D244—416no—
658C2×D244—42no—
659C2×D244—42no—
660C2×D244C2414yes—
661C2×D244C2414yes—
662C2×D244C2414yes—
663C2×D244C2414yes—
664C2×D244C2414yes—
665C2×D244C2414yes—
666C2×D244C2414yes—
667C2×C4×D61—42no—
668C2×C4×D61—42no—
669C2×C4×D61—42no—
670C2×C4×D61—42no—
671C2×C4×D61—416no—
672C2×C4×D61—42no—
673C2×C4×D61—42no—
674C2×C4×D61—42no—
675C2×C4×D61—42no—
676C2×C4×D61—42no—
677C2×C4×D61C2414yes—
678C2×C4×D61C2414yes—
679C2×C4×D61C2414yes—
680C2×C4×D61C2414yes—
681C2×C4×D61C2414yes—
682C2×C4×D61C2414yes—
683C2×C4×D61C2414yes—
684C2×C4×D61C2414yes—
685C2×C4×D61C2414yes—
686C2×Dic122—42no—
687C2×Dic122—42no—
688C2×Dic122—42no—
689C2×Dic122C2414yes—
690C2×Dic122C2414yes—
691C2×Dic122C2414yes—
692C4⋊C4×C61C2414yes—
693C4⋊C4×C61C2414yes—
694C4⋊C4×C61C2414yes—
695C4⋊C4×C61C2414yes—
696C4⋊C4×C61C2414yes—
697C4⋊C4×C61C2414yes—
698C4⋊C4×C61C2414yes—
699C4⋊C4×C61C2414yes—
700C4⋊C4×C61C2414yes—
701C4⋊C4×C61C2414yes—
702C22⋊C4×C61C2414yes—
703C22⋊C4×C61C2414yes—
704C22⋊C4×C61C2414yes—
705C22⋊C4×C61C2414yes—
706C22⋊C4×C61C2414yes—
707C22⋊C4×C61C2414yes—
708C22⋊C4×C61C2414yes—
709C22⋊C4×C61C2414yes—
710C42×C61C2414yes—
711C22⋊Dic61C2414yes—
712C22⋊Dic61C2414yes—
713C22⋊Dic61C2414yes—
714C22⋊Dic61C2414yes—
715C22⋊Dic61C2414yes—
716C22⋊Dic61C2414yes—
717C22⋊Dic61C2414yes—
718C22⋊Dic61C2414yes—
719C22⋊Dic61C2414yes—
720C22⋊Dic61C2414yes—
721#11758198C2414yes—
722#11758198C2414yes—
723#11758198C2414yes—
724#11758198C2414yes—
725#11758198C2414yes—
726#11758198C2414yes—
727#11758198C2414yes—
728#11758198C2414yes—
729#11758198C2414yes—
730#11758198C2414yes—
731#11758198C2414yes—
732#11758198C2414yes—
733#11758198C2414yes—
734#11758198C2414yes—
735#11758198C2414yes—
736#11758198C2414yes—
737#11758198C2414yes—
738#11758198C2414yes—
739#11758198C2414yes—
740#11758198C2414yes—
741#11758198C2414yes—
742#11758198C2414yes—
743#11758198C2414yes—
744#11758198C2414yes—
745#11758198C2414yes—
746#11758198C2414yes—
747#11758198C2414yes—
748#11758198C2414yes—
749#11758198C2414yes—
750#11758198C2414yes—
751#11758198C2414yes—
752#11758198C2414yes—
753C4⋊Dic61C2414yes—
754C4⋊Dic61C2414yes—
755C4⋊Dic61C2414yes—
756C4⋊Dic61C2414yes—
757C4⋊Dic61C2414yes—
758C4⋊Dic61C2414yes—
759C4⋊Dic61C2414yes—
760C4⋊Dic61C2414yes—
761#11758196C2414yes—
762#11758196C2414yes—
763#11758196C2414yes—
764#11758196C2414yes—
765#11758196C2414yes—
766#11758196C2414yes—
767#11758196C2414yes—
768#11758196C2414yes—
769#11758196C2414yes—
770#11758196C2414yes—
771#11758196C2414yes—
772#11758196C2414yes—
773#11758196C2414yes—
774#11758196C2414yes—
775#11758196C2414yes—
776#11758196C2414yes—
777#11758196C2414yes—
778#11758196C2414yes—
779#11758196C2414yes—
780#11758196C2414yes—
781C4×Dic61C2414yes—
782C4×Dic61C2414yes—
783C4×Dic61C2414yes—
784C4×Dic61C2414yes—
785C4×Dic61C2414yes—
786C4×Dic61C2414yes—
787C4×Dic61C2414yes—
788C4×Dic61C2414yes—
789C4×Dic61C2414yes—
790C23×C61—22no—
791C23×C61—22no—
792C23×C61—22no—
793C23×C61—22no—
794C23×C61—22no—
795C23×C61—22no—
796C23×C61—22no—
797C23×C61—22no—
798C23×C61—22no—
799C23×C61—22no—
800C23×C61—22no—
801C23×C61H(5,𝔽2)14yes—
802C23×C61C2512yes—
803C23×C61C2512yes—
804C23×C61C2512yes—
805C23×C61C2512yes—
806C23×C61C2511yescharacteristic
807C22×D61—28no—
808C22×D61—22no—
809C22×D61—22no—
810C22×D61—22no—
811C22×D61—22no—
812C22×D61—22no—
813C22×D61—22no—
814C22×D61—22no—
815C22×D61—22no—
816C22×D61—22no—
817C22×D61—22no—
818C22×D61—22no—
819C22×D61—22no—
820C22×D61—22no—
821C22×D61—22no—
822C22×D61—22no—
823C22×D61—28no—
824C22×D61—44no—
825C22×D61—44no—
826C22×D61—44no—
827C22×D61—44no—
828C22×D61—44no—
829C22×D61—44no—
830C22×D61—44no—
831C22×D61—416no—
832C22×D61—88no—
833C22×D61—88no—
834C22×D61C2512yes—
835C22×D61C2512yes—
836C22×D61C2512yes—
837C22×D61C2512yes—
838C22×D61C2512yes—
839Q8×C61—44no—
840Q8×C61—44no—
841D4×C61—28no—
842D4×C61—28no—
843D4×C61—28no—
844D4×C61—44no—
845D4×C61—44no—
846D4×C61—44no—
847C2×C4×C61—22no—
848C2×C4×C61—22no—
849C2×C4×C61—22no—
850C2×C4×C61—28no—
851C2×C4×C61—22no—
852C2×C4×C61—22no—
853C2×C4×C61—22no—
854C2×C4×C61—28no—
855C2×C4×C61—22no—
856C2×C4×C61—22no—
857C2×C4×C61—22no—
858C2×C4×C61—22no—
859C2×C4×C61—22no—
860C2×C4×C61—44no—
861C2×C4×C61—44no—
862C2×C4×C61—44no—
863C2×C4×C61—44no—
864C2×C4×C61—44no—
865C2×C4×C61—44no—
866C2×C4×C61C2512yes—
867C2×C4×C61C2512yes—
868C2×C4×C61C2512yes—
869C2×C4×C61C2512yes—
870C2×C4×C61C2512yes—
871C2×C4×C61C2512yes—
872C2×C4×C61C2512yes—
873C2×C4×C61C2512yes—
874C2×C4×C61C2512yes—
875C2×C4×C61C2512yes—
876C2×C4×C61C2512yes—
877C22⋊D61—28no—
878C22⋊D61—44no—
879C22⋊D61—44no—
880C22⋊D61—44no—
881C22⋊D61—44no—
882C22⋊D61—44no—
883C22⋊D61—44no—
884C22⋊D61—44no—
885C22⋊D61—44no—
886C22⋊D61—44no—
887C22⋊D61—44no—
888C22⋊D61—44no—
889C22⋊D61—44no—
890C22⋊D61—44no—
891C2×Dic61—22no—
892C2×Dic61—22no—
893C2×Dic61—22no—
894C2×Dic61—28no—
895C2×Dic61—22no—
896C2×Dic61—22no—
897C2×Dic61—22no—
898C2×Dic61—22no—
899C2×Dic61—22no—
900C2×Dic61—22no—
901C2×Dic61—22no—
902C2×Dic61—22no—
903C2×Dic61—44no—
904C2×Dic61—44no—
905C2×Dic61—44no—
906C2×Dic61—44no—
907C2×Dic61C2512yes—
908C2×Dic61C2512yes—
909C2×Dic61C2512yes—
910C2×Dic61C2512yes—
911C2×Dic61C2512yes—
912C2×Dic61C2512yes—
913C2×Dic61C2512yes—
914C2×Dic61C2512yes—
915C2×Dic61C2512yes—
916C2×Dic61C2512yes—
917C2×Dic61C2512yes—
918D244—44no—
919D244—44no—
920D244—44no—
921D244—44no—
922D244—44no—
923D244—44no—
924D244—44no—
925C4×D61—44no—
926C4×D61—44no—
927C4×D61—44no—
928C4×D61—44no—
929C4×D61—44no—
930C4×D61—44no—
931C4×D61—44no—
932C4×D61—44no—
933C4×D61—44no—
934Dic122—44no—
935Dic122—44no—
936Dic122—44no—
937C2×#3533—611nomaximal, Sylow
938C22×C61—22no—
939C22×C61—22no—
940C22×C61—28no—
941C22×C61—22no—
942C22×C61—22no—
943C22×C61—22no—
944C22×C61—22no—
945C22×C61—22no—
946C22×C61—22no—
947C22×C61—22no—
948C22×C61—22no—
949C22×C61—22no—
950C22×C61—44no—
951C22×C61—44no—
952C22×C61—44no—
953C22×C61C2×H(5,𝔽2)14yes—
954C22×C61C2×H(5,𝔽2)12yes—
955C22×C61#58512yes—
956C22×C61#58512yes—
957C22×C61C2611yescharacteristic
958C2×D61—22no—
959C2×D61—22no—
960C2×D61—22no—
961C2×D61—22no—
962C2×D61—22no—
963C2×D61—22no—
964C2×D61—22no—
965C2×D61—22no—
966C2×D61—22no—
967C2×D61—22no—
968C2×D61—22no—
969C2×D61—22no—
970C2×D61—22no—
971C2×D61—22no—
972C2×D61—22no—
973C2×D61—416no—
974C2×D61—44no—
975C2×D61—44no—
976C2×D61—44no—
977C2×D61—44no—
978C2×D61—44no—
979C2×D61—88no—
980C2×D61—88no—
981C4×C61—22no—
982C4×C61—22no—
983C4×C61—22no—
984C4×C61—22no—
985C4×C61—22no—
986C4×C61—22no—
987C4×C61—22no—
988C4×C61—22no—
989C4×C61—22no—
990C4×C61—22no—
991C4×C61—22no—
992Dic61—22no—
993Dic61—22no—
994Dic61—22no—
995Dic61—22no—
996Dic61—22no—
997Dic61—22no—
998Dic61—22no—
999Dic61—22no—
1000Dic61—22no—
1001Dic61—22no—
1002Dic61—22no—
1003#3533—6132no—
1004C2×#563—611no—
1005C2×#562—611no—
1006C2×#562—611no—
1007C2×#560—611no—
1008C2×#559—611no—
1009C2×#553—611no—
1010C2×#553—611no—
1011C2×#552—611no—
1012C2×#552—611no—
1013C2×#551—611no—
1014C2×#551—611no—
1015C2×#551—611no—
1016C2×#547—611no—
1017C2×#547D6111yescharacteristic, complemented
1018C2×#546—611no—
1019C2×#546—611no—
1020C2×#542—611no—
1021C2×#542—611no—
1022C2×#540—611no—
1023C2×#540—611no—
1024C2×#539—611no—
1025C2×#539—611no—
1026C2×#538—611no—
1027C2×#538—611no—
1028C2×#538—611no—
1029C2×#538—611no—
1030C2×#535—611no—
1031C2×#534—611no—
1032C2×#525—611no—
1033C2×#525—611no—
1034C22×#123—611no—
1035C2×C61—24no—
1036C2×C61—42no—
1037C2×C61—42no—
1038C2×C61—42no—
1039C2×C61#353314yescomplemented
1040C2×C61C22×H(5,𝔽2)11yescharacteristic
1041C2×C61C2×#58511yescharacteristic
1042C2×C61C2×#58511yescharacteristic
1043D61—42no—
1044D61—42no—
1045D61—42no—
1046D61—42no—
1047D61—42no—
1048C22×#41—611no—
1049C22×#41C2×D6111yescharacteristic
1050C22×#41C2×D6111yescharacteristic, complemented
1051C23×D4—611no—
1052C23×D4—611no—
1053C24×C4—611no—
1054#563—6116no—
1055#562—6116no—
1056#562—6116no—
1057#560—6116no—
1058#559—6116no—
1059#553—6116no—
1060#553—6116no—
1061#552—6116no—
1062#552—6116no—
1063#551—6116no—
1064#551—6116no—
1065#551—6116no—
1066#547—6116no—
1067#547C2×D61116yescomplemented
1068#546—6116no—
1069#546—6116no—
1070#542—6116no—
1071#542—6116no—
1072#540—6116no—
1073#540—6116no—
1074#539—6116no—
1075#539—6116no—
1076#538—6116no—
1077#538—6116no—
1078#538—6116no—
1079#538—6116no—
1080#535—6116no—
1081#534—6116no—
1082C2×C4⋊Q8—611no—
1083C2×C4⋊Q8C2×D6111yescharacteristic, complemented
1084C2×#127—611no—
1085C2×#127—611no—
1086C2×#126—611no—
1087C2×#126—611no—
1088C2×#126—611no—
1089C2×#126—611no—
1090C2×#126—611no—
1091C2×#126—611no—
1092C2×#126—611no—
1093C2×#126—611no—
1094C2×#126—611no—
1095C2×#126—611no—
1096C2×#126—611no—
1097C2×#126—611no—
1098C2×#125—611no—
1099C2×#125—611no—
1100C2×#125—611no—
1101C2×#125—611no—
1102C2×#125—611no—
1103C2×#125—611no—
1104C2×#124—611no—
1105C2×#124—611no—
1106C2×#124—611no—
1107C2×#124—611no—
1108C2×#124—611no—
1109C2×#124—611no—
1110C2×#124—611no—
1111C2×#124—611no—
1112C2×#124—611no—
1113C2×#124—611no—
1114#525—6116no—
1115#525—6116no—
1116C2×#123—611no—
1117C2×#123—611no—
1118C2×#123—611no—
1119C2×#123—611no—
1120C2×#123—611no—
1121C2×#123—611no—
1122C2×#123—611no—
1123C2×#123—611no—
1124C2×#123—611no—
1125C2×#123—611no—
1126C2×#123—611no—
1127C2×#123—611no—
1128C2×#123—611no—
1129C2×#123—611no—
1130C2×#123—611no—
1131C2×#123—611no—
1132C2×#123—611no—
1133C2×#123—611no—
1134C2×#123—611no—
1135C2×#123—611no—
1136C2×#123—611no—
1137C2×#123—6116no—
1138C2×#123—611no—
1139C2×#123—611no—
1140C2×#123—611no—
1141C2×#123—611no—
1142C2×#123—611no—
1143C2×#123C2×D6111yescharacteristic
1144C2×#123C2×D6111yescharacteristic, complemented
1145C2×#123C2×D6111yescharacteristic, complemented
1146C2×#123C2×D6111yescharacteristic, complemented
1147C2×C22⋊Q8—611no—
1148C2×C22⋊Q8—611no—
1149C2×C22⋊Q8—611no—
1150C2×C22⋊Q8—611no—
1151C2×C22⋊Q8—611no—
1152C2×C22⋊Q8—611no—
1153C2×C22⋊Q8—611no—
1154C2×C22⋊Q8—611no—
1155C2×C22⋊Q8—611no—
1156C2×C22⋊Q8—611no—
1157C2×C22⋊Q8—611no—
1158C2×C22⋊Q8—611no—
1159C2×C22⋊Q8—611no—
1160C2×C22⋊Q8—611no—
1161C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1162C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1163C2×#121—611no—
1164C2×#121—611no—
1165C2×#121—611no—
1166C2×#121—611no—
1167C2×#121—611no—
1168C2×#121—611no—
1169C2×#121—611no—
1170C2×#121—611no—
1171C2×#121—611no—
1172C2×#121—611no—
1173C2×#121—611no—
1174C2×#121—611no—
1175C2×#121—611no—
1176C2×#121—611no—
1177C2×#121—611no—
1178C2×#121—611no—
1179C2×#121—611no—
1180C2×#121—611no—
1181C2×#121—611no—
1182C2×#121—611no—
1183C2×#121—611no—
1184C2×#121—611no—
1185C2×#121C2×D6111yescharacteristic
1186C2×#121C2×D6111yescharacteristic, complemented
1187C2×#120—611no—
1188C2×#120—611no—
1189C2×#120—611no—
1190C2×#120—611no—
1191C2×#120—611no—
1192C2×#120—611no—
1193C2×#120—611no—
1194C2×#120—611no—
1195C2×#120—611no—
1196C2×#120—611no—
1197C2×C4×Q8—611no—
1198C2×C4×Q8—611no—
1199C2×C4×D4—611no—
1200C2×C4×D4—611no—
1201C2×C4×D4—611no—
1202C2×C4×D4—611no—
1203C2×C4×D4—611no—
1204C2×C4×D4—611no—
1205C2×C4×D4—611no—
1206C2×C4×D4—611no—
1207C2×C4×D4—611no—
1208C2×C4×D4—611no—
1209C2×C4×D4—611no—
1210C2×C4×D4—611no—
1211C2×C4×D4—611no—
1212C2×C4×D4—611no—
1213C2×C4×D4—611no—
1214C2×C4×D4—611no—
1215C2×C4×D4C2×D6111yescharacteristic, complemented
1216C2×C4×D4C2×D6111yescharacteristic, complemented
1217C2×#117—611no—
1218C2×#117—611no—
1219C2×#117—611no—
1220C2×#117—611no—
1221C2×#117—611no—
1222C2×#117—611no—
1223C2×#117—611no—
1224C22×C4⋊C4—611no—
1225C22×C4⋊C4—611no—
1226C22×C4⋊C4C2×D6111yescharacteristic, complemented
1227C22×C4⋊C4C2×D6111yescharacteristic, complemented
1228C22×C22⋊C4—611no—
1229C22×C22⋊C4—611no—
1230C22×C22⋊C4—611no—
1231C22×C22⋊C4—611no—
1232C22×C22⋊C4—611no—
1233C22×C22⋊C4—611no—
1234C61C2×#353311yescharacteristic, complemented, Sylow
1235C25—611no—
1236C25—611no—
1237C25—611no—
1238C2×#41—44no—
1239C2×#41—44no—
1240C2×#41—618no—
1241C2×#41—2444no—
1242C2×#41C22×D6118yes—
1243C2×#41C22×D6118yescomplemented
1244C22×Q8—611no—
1245C22×Q8—611no—
1246C22×Q8—611no—
1247C22×Q8C22×D6111yescharacteristic
1248C22×Q8C22×D6111yescharacteristic
1249C22×D4—611no—
1250C22×D4—611no—
1251C22×D4—611no—
1252C22×D4—611no—
1253C22×D4—611no—
1254C22×D4—611no—
1255C22×D4—611no—
1256C22×D4—611no—
1257C22×D4—611no—
1258C22×D4—611no—
1259C22×D4—611no—
1260C22×D4—611no—
1261C22×D4—611no—
1262C22×D4—611no—
1263C22×D4—618no—
1264C22×D4—611no—
1265C22×D4—611no—
1266C22×D4—611no—
1267C22×D4—611no—
1268C22×D4—611no—
1269C22×D4—611no—
1270C22×D4—611no—
1271C22×D4—618no—
1272C22×D4—2444no—
1273C22×D4—2444no—
1274C22×D4C22×D6111yescharacteristic
1275C22×D4C22×D6111yescharacteristic
1276C22×D4C22×D6111yescharacteristic
1277C22×D4C22×D6111yescharacteristic
1278C22×D4C22×D6111yescharacteristic
1279C22×D4C22×D6111yescharacteristic
1280C23×C4—611no—
1281C23×C4—611no—
1282C23×C4—611no—
1283C23×C4—611no—
1284C23×C4—611no—
1285C23×C4—611no—
1286C23×C4—611no—
1287C23×C4—611no—
1288C23×C4—611no—
1289C23×C4—611no—
1290C23×C4—611no—
1291C23×C4—611no—
1292C23×C4—611no—
1293C23×C4—611no—
1294C23×C4—618no—
1295C23×C4—2444no—
1296C23×C4C22×D6111yescharacteristic
1297C23×C4C22×D6111yescharacteristic
1298C23×C4C22×D6111yescharacteristic
1299C23×C4C22×D6111yescharacteristic
1300C23×C4C22×D6111yescharacteristic
1301C23×C4C22×D6111yescharacteristic
1302C23×C4C22×D6111yescharacteristic
1303C23×C4C22×D6111yescharacteristic
1304C4⋊Q8—618no—
1305C4⋊Q8C22×D6118yescomplemented
1306#127—618no—
1307#127—618no—
1308#126—618no—
1309#126—618no—
1310#126—618no—
1311#126—618no—
1312#126—618no—
1313#126—618no—
1314#126—618no—
1315#126—618no—
1316#126—618no—
1317#126—618no—
1318#126—618no—
1319#126—618no—
1320#125—618no—
1321#125—618no—
1322#125—618no—
1323#125—618no—
1324#125—618no—
1325#125—618no—
1326#124—618no—
1327#124—618no—
1328#124—618no—
1329#124—618no—
1330#124—618no—
1331#124—618no—
1332#124—618no—
1333#124—618no—
1334#124—618no—
1335#124—618no—
1336#123—618no—
1337#123—618no—
1338#123—618no—
1339#123—618no—
1340#123—618no—
1341#123—618no—
1342#123—618no—
1343#123—618no—
1344#123—618no—
1345#123—618no—
1346#123—618no—
1347#123—618no—
1348#123—618no—
1349#123—618no—
1350#123—618no—
1351#123—618no—
1352#123—618no—
1353#123—618no—
1354#123—618no—
1355#123—618no—
1356#123—618no—
1357#123—618no—
1358#123—618no—
1359#123—618no—
1360#123—618no—
1361#123—618no—
1362#123C22×D6118yes—
1363#123C22×D6118yescomplemented
1364#123C22×D6118yescomplemented
1365#123C22×D6118yescomplemented
1366C22⋊Q8—618no—
1367C22⋊Q8—618no—
1368C22⋊Q8—618no—
1369C22⋊Q8—618no—
1370C22⋊Q8—618no—
1371C22⋊Q8—618no—
1372C22⋊Q8—618no—
1373C22⋊Q8—618no—
1374C22⋊Q8—618no—
1375C22⋊Q8—618no—
1376C22⋊Q8—618no—
1377C22⋊Q8—618no—
1378C22⋊Q8—618no—
1379C22⋊Q8—618no—
1380C22⋊Q8C22×D6118yescomplemented
1381C22⋊Q8C22×D6118yescomplemented
1382#121—618no—
1383#121—618no—
1384#121—618no—
1385#121—618no—
1386#121—618no—
1387#121—618no—
1388#121—618no—
1389#121—618no—
1390#121—618no—
1391#121—618no—
1392#121—618no—
1393#121—618no—
1394#121—618no—
1395#121—618no—
1396#121—618no—
1397#121—618no—
1398#121—618no—
1399#121—618no—
1400#121—618no—
1401#121—618no—
1402#121—618no—
1403#121—618no—
1404#121C22×D6118yes—
1405#121C22×D6118yescomplemented
1406#120—618no—
1407#120—618no—
1408#120—618no—
1409#120—618no—
1410#120—618no—
1411#120—618no—
1412#120—618no—
1413#120—618no—
1414#120—618no—
1415#120—618no—
1416C4×Q8—618no—
1417C4×Q8—618no—
1418C4×D4—618no—
1419C4×D4—618no—
1420C4×D4—618no—
1421C4×D4—618no—
1422C4×D4—618no—
1423C4×D4—618no—
1424C4×D4—618no—
1425C4×D4—618no—
1426C4×D4—618no—
1427C4×D4—618no—
1428C4×D4—618no—
1429C4×D4—618no—
1430C4×D4—618no—
1431C4×D4—618no—
1432C4×D4—618no—
1433C4×D4—618no—
1434C4×D4C22×D6118yescomplemented
1435C4×D4C22×D6118yescomplemented
1436#117—618no—
1437#117—618no—
1438#117—618no—
1439#117—618no—
1440#117—618no—
1441#117—618no—
1442#117—618no—
1443C2×C4⋊C4—611no—
1444C2×C4⋊C4—611no—
1445C2×C4⋊C4—611no—
1446C2×C4⋊C4—611no—
1447C2×C4⋊C4—611no—
1448C2×C4⋊C4—611no—
1449C2×C4⋊C4—611no—
1450C2×C4⋊C4—618no—
1451C2×C4⋊C4—618no—
1452C2×C4⋊C4—611no—
1453C2×C4⋊C4—611no—
1454C2×C4⋊C4—611no—
1455C2×C4⋊C4—611no—
1456C2×C4⋊C4—611no—
1457C2×C4⋊C4—611no—
1458C2×C4⋊C4—611no—
1459C2×C4⋊C4—611no—
1460C2×C4⋊C4—611no—
1461C2×C4⋊C4—611no—
1462C2×C4⋊C4—611no—
1463C2×C4⋊C4—611no—
1464C2×C4⋊C4—611no—
1465C2×C4⋊C4—611no—
1466C2×C4⋊C4—611no—
1467C2×C4⋊C4—611no—
1468C2×C4⋊C4—611no—
1469C2×C4⋊C4—611no—
1470C2×C4⋊C4—611no—
1471C2×C4⋊C4—611no—
1472C2×C4⋊C4—611no—
1473C2×C4⋊C4C22×D6111yescharacteristic
1474C2×C4⋊C4C22×D6111yescharacteristic
1475C2×C4⋊C4C22×D6111yescharacteristic
1476C2×C4⋊C4C22×D6111yescharacteristic
1477C2×C4⋊C4C22×D6111yescharacteristic
1478C2×C4⋊C4C22×D6111yescharacteristic
1479C2×C4⋊C4C22×D6111yescharacteristic
1480C2×C4⋊C4C22×D6111yescharacteristic
1481C2×C4⋊C4C22×D6111yescharacteristic
1482C2×C4⋊C4C22×D6111yescharacteristic
1483C2×C4⋊C4C22×D6118yescomplemented
1484C2×C4⋊C4C22×D6118yescomplemented
1485C2×C22⋊C4—611no—
1486C2×C22⋊C4—611no—
1487C2×C22⋊C4—611no—
1488C2×C22⋊C4—611no—
1489C2×C22⋊C4—611no—
1490C2×C22⋊C4—611no—
1491C2×C22⋊C4—611no—
1492C2×C22⋊C4—611no—
1493C2×C22⋊C4—611no—
1494C2×C22⋊C4—611no—
1495C2×C22⋊C4—611no—
1496C2×C22⋊C4—611no—
1497C2×C22⋊C4—611no—
1498C2×C22⋊C4—611no—
1499C2×C22⋊C4—611no—
1500C2×C22⋊C4—611no—
1501C2×C22⋊C4—611no—
1502C2×C22⋊C4—611no—
1503C2×C22⋊C4—611no—
1504C2×C22⋊C4—611no—
1505C2×C22⋊C4—611no—
1506C2×C22⋊C4—611no—
1507C2×C22⋊C4—611no—
1508C2×C22⋊C4—611no—
1509C2×C22⋊C4—611no—
1510C2×C22⋊C4—611no—
1511C2×C22⋊C4—611no—
1512C2×C22⋊C4—611no—
1513C2×C22⋊C4—618no—
1514C2×C22⋊C4—618no—
1515C2×C22⋊C4—618no—
1516C2×C22⋊C4—618no—
1517C2×C22⋊C4—611no—
1518C2×C22⋊C4—611no—
1519C2×C22⋊C4—611no—
1520C2×C22⋊C4—611no—
1521C2×C22⋊C4—611no—
1522C2×C22⋊C4—611no—
1523C2×C22⋊C4—611no—
1524C2×C22⋊C4—611no—
1525C2×C22⋊C4—611no—
1526C2×C22⋊C4—611no—
1527C2×C22⋊C4—611no—
1528C2×C22⋊C4—611no—
1529C2×C22⋊C4—611no—
1530C2×C22⋊C4—611no—
1531C2×C22⋊C4—618no—
1532C2×C22⋊C4—618no—
1533C2×C22⋊C4C22×D6111yescharacteristic
1534C2×C22⋊C4C22×D6111yescharacteristic
1535C2×C22⋊C4C22×D6111yescharacteristic
1536C2×C22⋊C4C22×D6111yescharacteristic
1537C2×C22⋊C4C22×D6111yescharacteristic
1538C2×C22⋊C4C22×D6111yescharacteristic
1539C2×C22⋊C4C22×D6111yescharacteristic
1540C2×C22⋊C4C22×D6111yescharacteristic
1541C2×C42—611no—
1542C2×C42—611no—
1543C2×C42—611no—
1544C2×C42—611no—
1545C2×C42—611no—
1546C2×C42—611no—
1547C2×C42—611no—
1548C2×C42—611no—
1549C2×C42—611no—
1550C2×C42C22×D6111yescharacteristic
1551C24—611no—
1552C24—611no—
1553C24—611no—
1554C24—611no—
1555C24—611no—
1556C24—614no—
1557C24—614no—
1558C24—614no—
1559C24—1224no—
1560C24—1224no—
1561C24—2442no—
1562C24—2442no—
1563C24—2442no—
1564C24—2442no—
1565C24—2442no—
1566C24—2442no—
1567C24—2442no—
1568C24C23×D6111yescharacteristic
1569C24C23×D6111yescharacteristic
1570C24C23×D6111yescharacteristic
1571C24C23×D6111yescharacteristic
1572#41—416no—
1573#41—416no—
1574#41—24416no—
1575C2×Q8—42no—
1576C2×Q8—42no—
1577C2×Q8—614no—
1578C2×Q8—614no—
1579C2×Q8—614no—
1580C2×Q8—2442no—
1581C2×Q8—2442no—
1582C2×Q8—2442no—
1583C2×Q8C23×D6114yes—
1584C2×Q8C23×D6114yes—
1585C2×D4—24no—
1586C2×D4—24no—
1587C2×D4—24no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—614no—
1592C2×D4—614no—
1593C2×D4—614no—
1594C2×D4—614no—
1595C2×D4—614no—
1596C2×D4—614no—
1597C2×D4—614no—
1598C2×D4—614no—
1599C2×D4—614no—
1600C2×D4—614no—
1601C2×D4—614no—
1602C2×D4—614no—
1603C2×D4—614no—
1604C2×D4—614no—
1605C2×D4—614no—
1606C2×D4—614no—
1607C2×D4—614no—
1608C2×D4—614no—
1609C2×D4—614no—
1610C2×D4—614no—
1611C2×D4—614no—
1612C2×D4—1224no—
1613C2×D4—2442no—
1614C2×D4—2442no—
1615C2×D4—2442no—
1616C2×D4—2442no—
1617C2×D4—24416no—
1618C2×D4—2442no—
1619C2×D4—2442no—
1620C2×D4—2442no—
1621C2×D4—2442no—
1622C2×D4—2442no—
1623C2×D4—2442no—
1624C2×D4—2442no—
1625C2×D4—2442no—
1626C2×D4—2442no—
1627C2×D4—2442no—
1628C2×D4—2442no—
1629C2×D4—2442no—
1630C2×D4—2442no—
1631C2×D4—2442no—
1632C2×D4—2442no—
1633C2×D4—2442no—
1634C2×D4—24416no—
1635C2×D4C23×D6114yes—
1636C2×D4C23×D6114yes—
1637C2×D4C23×D6114yes—
1638C2×D4C23×D6114yes—
1639C2×D4C23×D6114yes—
1640C2×D4C23×D6114yes—
1641C22×C4—24no—
1642C22×C4—24no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—614no—
1650C22×C4—611no—
1651C22×C4—611no—
1652C22×C4—611no—
1653C22×C4—611no—
1654C22×C4—611no—
1655C22×C4—611no—
1656C22×C4—611no—
1657C22×C4—611no—
1658C22×C4—611no—
1659C22×C4—611no—
1660C22×C4—611no—
1661C22×C4—614no—
1662C22×C4—614no—
1663C22×C4—614no—
1664C22×C4—614no—
1665C22×C4—614no—
1666C22×C4—614no—
1667C22×C4—614no—
1668C22×C4—614no—
1669C22×C4—614no—
1670C22×C4—614no—
1671C22×C4—614no—
1672C22×C4—614no—
1673C22×C4—614no—
1674C22×C4—1224no—
1675C22×C4—2442no—
1676C22×C4—2442no—
1677C22×C4—2442no—
1678C22×C4—2442no—
1679C22×C4—24416no—
1680C22×C4—2442no—
1681C22×C4—2442no—
1682C22×C4—2442no—
1683C22×C4—2442no—
1684C22×C4—2442no—
1685C22×C4—2442no—
1686C22×C4—2442no—
1687C22×C4—2442no—
1688C22×C4—2442no—
1689C22×C4C23×D6114yes—
1690C22×C4C23×D6114yes—
1691C22×C4C23×D6111yescharacteristic
1692C22×C4C23×D6111yescharacteristic
1693C22×C4C23×D6111yescharacteristic
1694C22×C4C23×D6111yescharacteristic
1695C22×C4C23×D6111yescharacteristic
1696C22×C4C23×D6111yescharacteristic
1697C22×C4C23×D6111yescharacteristic
1698C22×C4C23×D6111yescharacteristic
1699C22×C4C23×D6111yescharacteristic
1700C22×C4C23×D6111yescharacteristic
1701C22×C4C23×D6111yescharacteristic
1702C22×C4C23×D6114yes—
1703C22×C4C23×D6114yes—
1704C22×C4C23×D6114yes—
1705C22×C4C23×D6114yes—
1706C22×C4C23×D6114yes—
1707C22×C4C23×D6114yes—
1708C4⋊C4—614no—
1709C4⋊C4—614no—
1710C4⋊C4—614no—
1711C4⋊C4—614no—
1712C4⋊C4—614no—
1713C4⋊C4—614no—
1714C4⋊C4—614no—
1715C4⋊C4—614no—
1716C4⋊C4—614no—
1717C4⋊C4—614no—
1718C4⋊C4—614no—
1719C4⋊C4—614no—
1720C4⋊C4—614no—
1721C4⋊C4—614no—
1722C4⋊C4—614no—
1723C4⋊C4—614no—
1724C4⋊C4—614no—
1725C4⋊C4—614no—
1726C4⋊C4—614no—
1727C4⋊C4—614no—
1728C4⋊C4—614no—
1729C4⋊C4—614no—
1730C4⋊C4—614no—
1731C4⋊C4—614no—
1732C4⋊C4—614no—
1733C4⋊C4—614no—
1734C4⋊C4—614no—
1735C4⋊C4—614no—
1736C4⋊C4C23×D6114yes—
1737C4⋊C4C23×D6114yes—
1738C4⋊C4C23×D6114yes—
1739C4⋊C4C23×D6114yes—
1740C4⋊C4C23×D6114yes—
1741C4⋊C4C23×D6114yes—
1742C4⋊C4C23×D6114yes—
1743C4⋊C4C23×D6114yes—
1744C4⋊C4C23×D6114yes—
1745C4⋊C4C23×D6114yes—
1746C22⋊C4—614no—
1747C22⋊C4—614no—
1748C22⋊C4—614no—
1749C22⋊C4—614no—
1750C22⋊C4—614no—
1751C22⋊C4—614no—
1752C22⋊C4—614no—
1753C22⋊C4—614no—
1754C22⋊C4—614no—
1755C22⋊C4—614no—
1756C22⋊C4—614no—
1757C22⋊C4—614no—
1758C22⋊C4—614no—
1759C22⋊C4—614no—
1760C22⋊C4—614no—
1761C22⋊C4—614no—
1762C22⋊C4—614no—
1763C22⋊C4—614no—
1764C22⋊C4—614no—
1765C22⋊C4—614no—
1766C22⋊C4—614no—
1767C22⋊C4—614no—
1768C22⋊C4—614no—
1769C22⋊C4—614no—
1770C22⋊C4—614no—
1771C22⋊C4—614no—
1772C22⋊C4—614no—
1773C22⋊C4—614no—
1774C22⋊C4—614no—
1775C22⋊C4—614no—
1776C22⋊C4—614no—
1777C22⋊C4—614no—
1778C22⋊C4—614no—
1779C22⋊C4—614no—
1780C22⋊C4—614no—
1781C22⋊C4—614no—
1782C22⋊C4—614no—
1783C22⋊C4—614no—
1784C22⋊C4—614no—
1785C22⋊C4—614no—
1786C22⋊C4—614no—
1787C22⋊C4—614no—
1788C22⋊C4C23×D6114yes—
1789C22⋊C4C23×D6114yes—
1790C22⋊C4C23×D6114yes—
1791C22⋊C4C23×D6114yes—
1792C22⋊C4C23×D6114yes—
1793C22⋊C4C23×D6114yes—
1794C22⋊C4C23×D6114yes—
1795C22⋊C4C23×D6114yes—
1796C42—614no—
1797C42—614no—
1798C42—614no—
1799C42—614no—
1800C42—614no—
1801C42—614no—
1802C42—614no—
1803C42—614no—
1804C42—614no—
1805C42C23×D6114yes—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—612no—
1818C23—612no—
1819C23—612no—
1820C23—612no—
1821C23—612no—
1822C23—1228no—
1823C23—1228no—
1824C23—1222no—
1825C23—1222no—
1826C23—1222no—
1827C23—1222no—
1828C23—1222no—
1829C23—1222no—
1830C23—1222no—
1831C23—1222no—
1832C23—1222no—
1833C23—1222no—
1834C23—1222no—
1835C23—1222no—
1836C23—1222no—
1837C23—1222no—
1838C23—1222no—
1839C23—4888no—
1840C23—4888no—
1841C23—2444no—
1842C23—2444no—
1843C23—2444no—
1844C23—2444no—
1845C23—2444no—
1846C23—2444no—
1847C23—2444no—
1848C23—24416no—
1849C23#1451982214yes—
1850C23C24×D6112yes—
1851C23C24×D6112yes—
1852C23C24×D6112yes—
1853C23C24×D6112yes—
1854C23C24×D6111yescharacteristic
1855Q8—44no—
1856Q8—44no—
1857Q8—2444no—
1858Q8—2444no—
1859Q8—2444no—
1860D4—28no—
1861D4—28no—
1862D4—28no—
1863D4—44no—
1864D4—44no—
1865D4—44no—
1866D4—1228no—
1867D4—2444no—
1868D4—2444no—
1869D4—2444no—
1870D4—2444no—
1871D4—2444no—
1872D4—2444no—
1873D4—2444no—
1874D4—2444no—
1875D4—2444no—
1876D4—2444no—
1877D4—2444no—
1878D4—2444no—
1879D4—2444no—
1880D4—2444no—
1881D4—2444no—
1882D4—2444no—
1883D4—2444no—
1884D4—2444no—
1885D4—2444no—
1886D4—2444no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—28no—
1891C2×C4—22no—
1892C2×C4—28no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—44no—
1903C2×C4—44no—
1904C2×C4—44no—
1905C2×C4—44no—
1906C2×C4—612no—
1907C2×C4—612no—
1908C2×C4—612no—
1909C2×C4—612no—
1910C2×C4—612no—
1911C2×C4—612no—
1912C2×C4—612no—
1913C2×C4—612no—
1914C2×C4—612no—
1915C2×C4—612no—
1916C2×C4—612no—
1917C2×C4—1222no—
1918C2×C4—1222no—
1919C2×C4—1228no—
1920C2×C4—1222no—
1921C2×C4—1222no—
1922C2×C4—1222no—
1923C2×C4—1222no—
1924C2×C4—1222no—
1925C2×C4—1222no—
1926C2×C4—1222no—
1927C2×C4—1222no—
1928C2×C4—1222no—
1929C2×C4—2444no—
1930C2×C4—2444no—
1931C2×C4—2444no—
1932C2×C4—2444no—
1933C2×C4—2444no—
1934C2×C4—2444no—
1935C2×C4—2444no—
1936C2×C4—2444no—
1937C2×C4—2444no—
1938C2×C4—2444no—
1939C2×C4—2444no—
1940C2×C4—2444no—
1941C2×C4—2444no—
1942C2×C4C24×D6112yes—
1943C2×C4C24×D6112yes—
1944C2×C4C24×D6112yes—
1945C2×C4C24×D6112yes—
1946C2×C4C24×D6112yes—
1947C2×C4C24×D6112yes—
1948C2×C4C24×D6112yes—
1949C2×C4C24×D6112yes—
1950C2×C4C24×D6112yes—
1951C2×C4C24×D6112yes—
1952C2×C4C24×D6112yes—
1953C22—28no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—22no—
1963C22—22no—
1964C22—22no—
1965C22—44no—
1966C22—44no—
1967C22—44no—
1968C22—1222no—
1969C22—1222no—
1970C22—1222no—
1971C22—1222no—
1972C22—1222no—
1973C22—1222no—
1974C22—1222no—
1975C22—1222no—
1976C22—1222no—
1977C22—1222no—
1978C22—1222no—
1979C22—1222no—
1980C22—1222no—
1981C22—1222no—
1982C22—1222no—
1983C22—4888no—
1984C22—4888no—
1985C22—24416no—
1986C22—2444no—
1987C22—2444no—
1988C22—2444no—
1989C22—2444no—
1990C22—2444no—
1991C22C2×#1451982214yes—
1992C22C2×#1451982212yes—
1993C22#1684059812yes—
1994C22#1684059912yes—
1995C22C25×D6111yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—22no—
2007C4—1222no—
2008C4—1222no—
2009C4—1222no—
2010C4—1222no—
2011C4—1222no—
2012C4—1222no—
2013C4—1222no—
2014C4—1222no—
2015C4—1222no—
2016C4—1222no—
2017C4—1222no—
2018C2—24no—
2019C2—42no—
2020C2—42no—
2021C2—42no—
2022C2—2442no—
2023C2—2442no—
2024C2—2442no—
2025C2—2442no—
2026C2—2442no—
2027C2#2145998914yesdirect product factor
2028C2C22×#1451982211yescharacteristic
2029C2C2×#1684059811yescharacteristic
2030C2C2×#1684059911yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#547C2
socleC23×C61C25
hypercenterC2×#547D61
hypocenterC61C2×#3533
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#547

Complements

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

NH ≅ G/Ntype
1. #21459989C2direct (N × H)
2. C2×#16840511C2semidirect
3. C2×#16840509C2semidirect
4. C2×#16840508C2semidirect
5. C2×#16840500C2semidirect
6. C2×#16840496C2semidirect
7. C2×#16840461C2semidirect
8. C2×#16840460C2semidirect
9. C2×#16840449C2semidirect
10. C2×#16840447C2semidirect
11. C2×#16840441C2semidirect
12. C2×#16840439C2semidirect
13. C2×#16840435C2semidirect
14. C2×#16840411C2semidirect
15. C2×#16840401C2semidirect
16. C2×#16840400C2semidirect
17. C2×#16840386C2semidirect
18. C2×#16840382C2semidirect
19. C2×#16840364C2semidirect
20. C2×#16840362C2semidirect
21. C2×#16840361C2semidirect
22. C2×#16840359C2semidirect
23. C2×#16840349C2semidirect
24. C2×#16840348C2semidirect
25. C2×#16840345C2semidirect
26. C2×#16840345C2semidirect
27. C2×#16840326C2semidirect
28. C2×#16840323C2semidirect
29. C2×#16840270C2semidirect
30. C2×#16840269C2semidirect
31. C22×#14519762C2semidirect
32. C2×C61×#547C2semidirect
36. C23×C4×D61C22semidirect
37. #16840511C22semidirect
38. #16840509C22semidirect
39. #16840508C22semidirect
40. #16840500C22semidirect
41. #16840496C22semidirect
42. #16840461C22semidirect
43. #16840460C22semidirect
44. #16840449C22semidirect
45. #16840447C22semidirect
46. #16840441C22semidirect
47. #16840439C22semidirect
48. #16840435C22semidirect
49. #16840411C22semidirect
50. #16840401C22semidirect
51. #16840400C22semidirect
52. #16840386C22semidirect
53. #16840382C22semidirect
54. #16840364C22semidirect
55. #16840362C22semidirect
56. #16840361C22semidirect
57. #16840359C22semidirect
58. #16840349C22semidirect
59. #16840348C22semidirect
60. #16840345C22semidirect
61. #16840345C22semidirect
62. #16840326C22semidirect
63. #16840323C22semidirect
64. C2×#14519775C22semidirect
66. C2×#14519773C22semidirect
67. C2×#14519772C22semidirect
68. C2×#14519772C22semidirect
69. C2×#14519772C22semidirect
70. C2×#14519772C22semidirect
71. C2×#14519772C22semidirect
72. C2×#14519772C22semidirect
73. C2×#14519772C22semidirect
74. C2×#14519772C22semidirect
75. C2×#14519771C22semidirect
76. C2×#14519771C22semidirect
77. C2×#14519770C22semidirect
78. C2×#14519770C22semidirect
79. C2×#14519768C22semidirect
80. C2×#14519768C22semidirect
81. C2×#14519767C22semidirect
82. C2×#14519767C22semidirect
83. C2×#14519767C22semidirect
84. C2×#14519767C22semidirect
86. C2×#14519766C22semidirect
87. C2×#14519766C22semidirect
88. C2×#14519765C22semidirect
89. C2×#14519763C22semidirect
90. C2×#14519763C22semidirect
91. C2×#14519763C22semidirect
92. C2×#14519763C22semidirect
93. C2×#14519763C22semidirect
94. C2×#14519763C22semidirect
95. #16840270C22semidirect
96. #16840269C22semidirect
103. C2×#14519762C22semidirect
104. C2×#14519762C22semidirect
105. C2×#14519762C22semidirect
106. C2×#14519762C22semidirect
107. C2×#14519762C22semidirect
108. C2×#14519762C22semidirect
109. C2×#14519762C22semidirect
110. C2×#14519761C22semidirect
111. C2×#14519761C22semidirect
112. C2×#14519761C22semidirect
115. C2×#14519760C22semidirect
116. C2×#14519760C22semidirect
117. C2×#14519760C22semidirect
118. C2×#14519760C22semidirect
119. C2×#14519759C22semidirect
120. C2×#14519759C22semidirect
122. C2×#14519758C22semidirect
123. C2×#14519758C22semidirect
124. C2×#14519757C22semidirect
125. C2×#14519757C22semidirect
126. C2×#14519756C22semidirect
127. C2×#14519756C22semidirect
128. C2×#14519755C22semidirect
129. C2×#14519755C22semidirect
130. C2×#14519755C22semidirect
131. C2×#14519755C22semidirect
132. C2×#14519754C22semidirect
133. C2×#14519754C22semidirect
134. C2×#14519753C22semidirect
135. C2×#14519753C22semidirect
136. C2×#14519753C22semidirect
137. C2×#14519753C22semidirect
142. C2×#14519751C22semidirect
143. C2×#14519751C22semidirect
144. C2×#14519751C22semidirect
145. C2×#14519751C22semidirect
148. C2×#14519750C22semidirect
149. C2×#14519750C22semidirect
150. C2×#14519750C22semidirect
151. C2×#14519750C22semidirect
153. C2×#14519749C22semidirect
154. C2×#14519749C22semidirect
155. C2×#14519749C22semidirect
156. C2×#14519749C22semidirect
157. C2×#14519749C22semidirect
158. C2×#14519748C22semidirect
159. C2×#14519748C22semidirect
166. C2×#14519745C22semidirect
167. C2×#14519745C22semidirect
168. C2×#14519745C22semidirect
169. C2×#14519745C22semidirect
170. C2×#14519742C22semidirect
171. C2×#14519742C22semidirect
173. C2×D4×Dic61C22semidirect
174. C2×#14519739C22semidirect
175. C2×#14519739C22semidirect
177. C2×C4×C22⋊D61C22semidirect
178. C2×C4×C22⋊D61C22semidirect
179. C2×C4×C22⋊D61C22semidirect
180. C2×C4×C22⋊D61C22semidirect
181. C2×C4×C22⋊D61C22semidirect
182. C2×C4×C22⋊D61C22semidirect
183. C2×C4×C22⋊D61C22semidirect
184. C2×#14519737C22semidirect
185. C2×#14519737C22semidirect
186. C2×#14519737C22semidirect
187. C2×#14519737C22semidirect
188. C2×#14519736C22semidirect
189. C2×#14519736C22semidirect
190. C2×#14519735C22semidirect
191. C2×#14519735C22semidirect
192. C2×#14519734C22semidirect
193. C2×#14519733C22semidirect
194. C2×#14519733C22semidirect
195. C22×#11758196C22semidirect
196. C22×#11758196C22semidirect
199. C22×#11758198C22semidirect
200. C22×#11758198C22semidirect
202. C2×C22⋊C4×D61C22semidirect
204. C22×#41×C61C22semidirect
205. C61×#547C22semidirect
206. C2×C4⋊Q8×C61C22semidirect
208. C2×#123×C61C22semidirect
209. C2×#123×C61C22semidirect
210. C2×#123×C61C22semidirect
211. C2×C22⋊Q8×C61C22semidirect
212. C2×C22⋊Q8×C61C22semidirect
214. C2×#121×C61C22semidirect
215. C2×C4×D4×C61C22semidirect
216. C2×C4×D4×C61C22semidirect
217. C22×C4⋊C4×C61C22semidirect
218. C22×C4⋊C4×C61C22semidirect
267. C22×C4×D61C23semidirect
268. #14519775C23semidirect
270. #14519773C23semidirect
271. #14519772C23semidirect
272. #14519772C23semidirect
273. #14519772C23semidirect
274. #14519772C23semidirect
275. #14519772C23semidirect
276. #14519772C23semidirect
277. #14519772C23semidirect
278. #14519772C23semidirect
279. #14519771C23semidirect
280. #14519771C23semidirect
281. #14519770C23semidirect
282. #14519770C23semidirect
283. #14519768C23semidirect
284. #14519768C23semidirect
285. #14519767C23semidirect
286. #14519767C23semidirect
287. #14519767C23semidirect
288. #14519767C23semidirect
290. #14519766C23semidirect
291. #14519766C23semidirect
292. #14519765C23semidirect
293. #14519763C23semidirect
294. #14519763C23semidirect
295. #14519763C23semidirect
296. #14519763C23semidirect
297. #14519763C23semidirect
298. #14519763C23semidirect
305. #14519762C23semidirect
306. #14519762C23semidirect
307. #14519762C23semidirect
308. #14519762C23semidirect
309. #14519762C23semidirect
310. #14519762C23semidirect
311. #14519761C23semidirect
312. #14519761C23semidirect
313. #14519761C23semidirect
316. #14519760C23semidirect
317. #14519760C23semidirect
318. #14519760C23semidirect
319. #14519760C23semidirect
320. #14519759C23semidirect
321. #14519759C23semidirect
323. #14519758C23semidirect
324. #14519758C23semidirect
325. #14519757C23semidirect
326. #14519757C23semidirect
327. #14519756C23semidirect
328. #14519756C23semidirect
329. #14519755C23semidirect
330. #14519755C23semidirect
331. #14519755C23semidirect
332. #14519755C23semidirect
333. #14519754C23semidirect
334. #14519754C23semidirect
335. #14519753C23semidirect
336. #14519753C23semidirect
337. #14519753C23semidirect
338. #14519753C23semidirect
343. #14519751C23semidirect
344. #14519751C23semidirect
345. #14519751C23semidirect
346. #14519751C23semidirect
349. #14519750C23semidirect
350. #14519750C23semidirect
351. #14519750C23semidirect
352. #14519750C23semidirect
354. #14519749C23semidirect
355. #14519749C23semidirect
356. #14519749C23semidirect
357. #14519749C23semidirect
358. #14519749C23semidirect
359. #14519748C23semidirect
360. #14519748C23semidirect
367. #14519745C23semidirect
368. #14519745C23semidirect
369. #14519745C23semidirect
370. #14519745C23semidirect
371. #14519742C23semidirect
372. #14519742C23semidirect
374. D4×Dic61C23semidirect
375. #14519739C23semidirect
376. #14519739C23semidirect
378. C4×C22⋊D61C23semidirect
379. C4×C22⋊D61C23semidirect
380. C4×C22⋊D61C23semidirect
381. C4×C22⋊D61C23semidirect
382. C4×C22⋊D61C23semidirect
383. C4×C22⋊D61C23semidirect
384. C4×C22⋊D61C23semidirect
385. #14519737C23semidirect
386. #14519737C23semidirect
387. #14519737C23semidirect
388. #14519737C23semidirect
389. #14519736C23semidirect
390. #14519736C23semidirect
391. #14519735C23semidirect
392. #14519735C23semidirect
393. #14519734C23semidirect
394. #14519733C23semidirect
395. #14519733C23semidirect
424. C2×#11758196C23semidirect
425. C2×#11758196C23semidirect
470. C2×#11758198C23semidirect
471. C2×#11758198C23semidirect
473. C22⋊C4×D61C23semidirect
486. C2×#41×C61C23semidirect
503. C4⋊Q8×C61C23semidirect
505. #123×C61C23semidirect
506. #123×C61C23semidirect
507. #123×C61C23semidirect
508. C22⋊Q8×C61C23semidirect
509. C22⋊Q8×C61C23semidirect
511. #121×C61C23semidirect
512. C4×D4×C61C23semidirect
513. C4×D4×C61C23semidirect
524. C2×C4⋊C4×C61C23semidirect
525. C2×C4⋊C4×C61C23semidirect
1017. C2×#547D61semidirect
1039. C2×C61#3533semidirect
1050. C22×#41C2×D61semidirect
1067. #547C2×D61semidirect
1083. C2×C4⋊Q8C2×D61semidirect
1144. C2×#123C2×D61semidirect
1145. C2×#123C2×D61semidirect
1146. C2×#123C2×D61semidirect
1161. C2×C22⋊Q8C2×D61semidirect
1162. C2×C22⋊Q8C2×D61semidirect
1186. C2×#121C2×D61semidirect
1215. C2×C4×D4C2×D61semidirect
1216. C2×C4×D4C2×D61semidirect
1226. C22×C4⋊C4C2×D61semidirect
1227. C22×C4⋊C4C2×D61semidirect
1234. C61C2×#3533semidirect
1243. C2×#41C22×D61semidirect
1305. C4⋊Q8C22×D61semidirect
1363. #123C22×D61semidirect
1364. #123C22×D61semidirect
1365. #123C22×D61semidirect
1380. C22⋊Q8C22×D61semidirect
1381. C22⋊Q8C22×D61semidirect
1405. #121C22×D61semidirect
1434. C4×D4C22×D61semidirect
1435. C4×D4C22×D61semidirect
1483. C2×C4⋊C4C22×D61semidirect
1484. C2×C4⋊C4C22×D61semidirect
2027. C2#21459989direct (N × H)

Maximal subgroups

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

subgroupindex
#214599892
C2×#168405112
C2×#168405092
C2×#168405082
C2×#168405002
C2×#168404962
C2×#168404612
C2×#168404602
C2×#168404492
C2×#168404472
C2×#168404412
C2×#168404392
C2×#168404352
C2×#168404112
C2×#168404012
C2×#168404002
C2×#168403862
C2×#168403822
C2×#168403642
C2×#168403622
C2×#168403612
C2×#168403592
C2×#168403492
C2×#168403482
C2×#168403452
C2×#168403262
C2×#168403232
C2×#168402702
C2×#168402692
C22×#145197622
C2×C61×#5472
C2×#353361