Finite Group Databasebeta

← C2×#21459978 #30587266

Subgroups — C2×#21459978 #30587266

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#21459978C2132yesmaximal, direct product factor
2C2×#16840513C211yesmaximal, characteristic, complemented
3C2×#16840507C211yesmaximal, characteristic, complemented
4C2×#16840506C211yesmaximal, characteristic, complemented
5C2×#16840501C211yesmaximal, characteristic, complemented
6C2×#16840495C211yesmaximal, characteristic, complemented
7C2×#16840457C211yesmaximal, characteristic, complemented
8C2×#16840455C211yesmaximal, characteristic, complemented
9C2×#16840452C211yesmaximal, characteristic, complemented
10C2×#16840449C211yesmaximal, characteristic, complemented
11C2×#16840443C211yesmaximal, characteristic, complemented
12C2×#16840438C211yesmaximal, characteristic, complemented
13C2×#16840438C211yesmaximal, characteristic, complemented
14C2×#16840412C211yesmaximal, characteristic, complemented
15C2×#16840411C211yesmaximal, characteristic, complemented
16C2×#16840406C211yesmaximal, characteristic, complemented
17C2×#16840380C211yesmaximal, characteristic, complemented
18C2×#16840376C211yesmaximal, characteristic, complemented
19C2×#16840365C211yesmaximal, characteristic, complemented
20C2×#16840362C211yesmaximal, characteristic, complemented
21C2×#16840358C211yesmaximal, characteristic, complemented
22C2×#16840354C211yesmaximal, characteristic, complemented
23C2×#16840350C211yesmaximal, characteristic, complemented
24C2×#16840349C211yesmaximal, characteristic, complemented
25C2×#16840347C211yesmaximal, characteristic, complemented
26C2×#16840345C211yesmaximal, characteristic, complemented
27C2×#16840327C211yesmaximal, characteristic, complemented
28C2×#16840321C211yesmaximal, characteristic, complemented
29C2×#16840270C211yesmaximal, characteristic, complemented
30C2×#16840269C211yesmaximal, characteristic, complemented
31C22×#14519759C211yesmaximal, characteristic, complemented
32C2×C61×#546C211yesmaximal, characteristic, complemented
33C22×#11758224C2211yescharacteristic
34C22×#11758224C2211yescharacteristic, complemented
35C23×C22⋊D61C2211yescharacteristic
36C23×C4×D61C2211yescharacteristic, complemented
37#16840513C22116yescomplemented
38#16840507C22116yescomplemented
39#16840506C22116yescomplemented
40#16840501C22116yescomplemented
41#16840495C22116yescomplemented
42#16840457C22116yescomplemented
43#16840455C22116yescomplemented
44#16840452C22116yescomplemented
45#16840449C22116yescomplemented
46#16840443C22116yescomplemented
47#16840438C22116yescomplemented
48#16840438C22116yescomplemented
49#16840412C22116yescomplemented
50#16840411C22116yescomplemented
51#16840406C22116yescomplemented
52#16840380C22116yescomplemented
53#16840376C22116yescomplemented
54#16840365C22116yescomplemented
55#16840362C22116yescomplemented
56#16840358C22116yescomplemented
57#16840354C22116yescomplemented
58#16840350C22116yescomplemented
59#16840349C22116yescomplemented
60#16840347C22116yescomplemented
61#16840345C22116yescomplemented
62#16840327C22116yescomplemented
63#16840321C22116yescomplemented
64C2×#14519776C2211yescharacteristic, complemented
65C2×#14519775C2211yescharacteristic, complemented
66C2×#14519773C2211yescharacteristic
67C2×#14519773C2211yescharacteristic, complemented
68C2×#14519772C2211yescharacteristic, complemented
69C2×#14519772C2211yescharacteristic, complemented
70C2×#14519772C2211yescharacteristic, complemented
71C2×#14519771C2211yescharacteristic, complemented
72C2×#14519770C2211yescharacteristic, complemented
73C2×#14519770C2211yescharacteristic, complemented
74C2×#14519770C2211yescharacteristic, complemented
75C2×#14519770C2211yescharacteristic, complemented
76C2×#14519770C2211yescharacteristic, complemented
77C2×#14519770C2211yescharacteristic, complemented
78C2×#14519770C2211yescharacteristic, complemented
79C2×#14519770C2211yescharacteristic, complemented
80C2×#14519769C2211yescharacteristic, complemented
81C2×#14519768C2211yescharacteristic, complemented
82C2×#14519767C2211yescharacteristic, complemented
83C2×#14519767C2211yescharacteristic, complemented
84C2×#14519767C2211yescharacteristic, complemented
85C2×#14519767C2211yescharacteristic, complemented
86C2×#14519765C2211yescharacteristic, complemented
87C2×#14519764C2211yescharacteristic, complemented
88C2×#14519764C2211yescharacteristic, complemented
89C2×#14519763C2211yescharacteristic
90C2×#14519763C2211yescharacteristic, complemented
91C2×#14519763C2211yescharacteristic, complemented
92C2×#14519763C2211yescharacteristic, complemented
93C2×#14519763C2211yescharacteristic, complemented
94C2×#14519763C2211yescharacteristic, complemented
95#16840270C22116yescomplemented
96#16840269C22116yescomplemented
97C2×#14519762C2211yescharacteristic, complemented
98C2×#14519761C2211yescharacteristic, complemented
99C2×#14519761C2211yescharacteristic, complemented
100C2×#14519761C2211yescharacteristic, complemented
101C2×#14519760C2211yescharacteristic
102C2×#14519760C2211yescharacteristic
103C2×#14519760C2211yescharacteristic, complemented
104C2×#14519760C2211yescharacteristic, complemented
105C2×#14519760C2211yescharacteristic, complemented
106C2×#14519759C2211yescharacteristic
107C2×#14519759C2211yescharacteristic
108C2×#14519759C2211yescharacteristic
109C2×#14519759C2211yescharacteristic
110C2×#14519759C2211yescharacteristic, complemented
111C2×#14519759C2211yescharacteristic, complemented
112C2×#14519759C2211yescharacteristic, complemented
113C2×#14519759C2211yescharacteristic, complemented
114C2×#14519759C2211yescharacteristic, complemented
115C2×#14519759C2211yescharacteristic, complemented
116C2×#14519759C2211yescharacteristic, complemented
117C2×#14519759C22116yescomplemented
118C2×#14519758C2211yescharacteristic
119C2×#14519758C2211yescharacteristic
120C2×#14519758C2211yescharacteristic
121C2×#14519758C2211yescharacteristic, complemented
122C2×#14519758C2211yescharacteristic, complemented
123C2×#14519758C2211yescharacteristic, complemented
124C2×#14519758C2211yescharacteristic, complemented
125C2×#14519758C2211yescharacteristic, complemented
126C2×#14519756C2211yescharacteristic, complemented
127C2×#14519756C2211yescharacteristic, complemented
128C2×#14519756C2211yescharacteristic, complemented
129C2×#14519756C2211yescharacteristic, complemented
130C2×#14519755C2211yescharacteristic, complemented
131C2×#14519755C2211yescharacteristic, complemented
132C2×#14519754C2211yescharacteristic, complemented
133C2×#14519754C2211yescharacteristic, complemented
134C2×#14519754C2211yescharacteristic, complemented
135C2×#14519754C2211yescharacteristic, complemented
136C2×#14519754C2211yescharacteristic, complemented
137C2×#14519754C2211yescharacteristic, complemented
138C2×#14519753C2211yescharacteristic, complemented
139C2×#14519753C2211yescharacteristic, complemented
140C2×#14519753C2211yescharacteristic, complemented
141C2×#14519751C2211yescharacteristic, complemented
142C2×#14519750C2211yescharacteristic
143C2×#14519750C2211yescharacteristic, complemented
144C2×#14519750C2211yescharacteristic, complemented
145C2×#14519750C2211yescharacteristic, complemented
146C2×#14519750C2211yescharacteristic, complemented
147C2×#14519749C2211yescharacteristic
148C2×#14519749C2211yescharacteristic
149C2×#14519749C2211yescharacteristic
150C2×#14519749C2211yescharacteristic
151C2×#14519749C2211yescharacteristic
152C2×#14519749C2211yescharacteristic
153C2×#14519749C2211yescharacteristic, complemented
154C2×#14519749C2211yescharacteristic, complemented
155C2×#14519749C2211yescharacteristic, complemented
156C2×#14519749C2211yescharacteristic, complemented
157C2×#14519749C2211yescharacteristic, complemented
158C2×#14519748C2211yescharacteristic, complemented
159C2×#14519748C2211yescharacteristic, complemented
160C2×#14519748C2211yescharacteristic, complemented
161C2×#14519748C2211yescharacteristic, complemented
162C2×#14519747C2211yescharacteristic, complemented
163C2×#14519746C2211yescharacteristic
164C2×#14519746C2211yescharacteristic
165C2×#14519746C2211yescharacteristic
166C2×#14519746C2211yescharacteristic, complemented
167C2×#14519745C2211yescharacteristic
168C2×#14519745C2211yescharacteristic
169C2×#14519745C2211yescharacteristic, complemented
170C2×C4×Dic122C2211yescharacteristic, complemented
171C2×#14519742C2211yescharacteristic, complemented
172C2×D4×Dic61C2211yescharacteristic
173C2×D4×Dic61C2211yescharacteristic, complemented
174C2×D4×Dic61C2211yescharacteristic, complemented
175C2×D4×Dic61C2211yescharacteristic, complemented
176C2×#14519739C2211yescharacteristic, complemented
177C2×#14519739C2211yescharacteristic, 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×C4×C22⋊D61C2211yescharacteristic, complemented
185C2×#14519737C2211yescharacteristic, complemented
186C2×#14519737C2211yescharacteristic, complemented
187C2×#14519737C2211yescharacteristic, complemented
188C2×#14519736C2211yescharacteristic, complemented
189C2×#14519736C2211yescharacteristic, complemented
190C2×#14519733C2211yescharacteristic, complemented
191C2×#14519733C2211yescharacteristic, complemented
192C2×#14519733C2211yescharacteristic, complemented
193C2×#14519733C2211yescharacteristic, complemented
194C2×#14519733C2211yescharacteristic, complemented
195C22×C4⋊Dic61C2211yescharacteristic, complemented
196C22×#11758196C2211yescharacteristic, complemented
197C22×#11758196C2211yescharacteristic, complemented
198C2×C4⋊C4×D61C2211yescharacteristic, complemented
199C22×C22⋊Dic61C2211yescharacteristic
200C22×C22⋊Dic61C2211yescharacteristic
201C22×C22⋊Dic61C2211yescharacteristic, complemented
202C22×#11758198C2211yescharacteristic, complemented
203C22×#41×C61C2211yescharacteristic
204C23×D4×C61C2211yescharacteristic
205C61×#546C22116yescomplemented
206C2×#124×C61C2211yescharacteristic, complemented
207C2×#123×C61C2211yescharacteristic
208C2×#123×C61C2211yescharacteristic, complemented
209C2×C22⋊Q8×C61C2211yescharacteristic, complemented
210C2×#121×C61C2211yescharacteristic
211C2×#121×C61C2211yescharacteristic, complemented
212C2×#121×C61C2211yescharacteristic, complemented
213C2×#120×C61C2211yescharacteristic
214C2×#120×C61C2211yescharacteristic, complemented
215C2×C4×D4×C61C2211yescharacteristic
216C2×C4×D4×C61C2211yescharacteristic, complemented
217C22×C22⋊C4×C61C2211yescharacteristic
218C22×C22⋊C4×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C2×#11758224—44no—
221C2×#11758224—44no—
222C2×#11758224C2318yes—
223C2×#11758224C2318yescomplemented
224C22×Dic122C2311yescharacteristic
225C22×Dic122C2311yescharacteristic
226C22×Dic122C2311yescharacteristic
227C22×Dic122C2311yescharacteristic
228C22×D244C2311yescharacteristic
229C22×D244C2311yescharacteristic
230C22×C22⋊D61—44no—
231C22×C22⋊D61C2311yescharacteristic
232C22×C22⋊D61C2311yescharacteristic
233C22×C22⋊D61C2311yescharacteristic
234C22×C22⋊D61C2311yescharacteristic
235C22×C22⋊D61C2311yescharacteristic
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⋊D61C2318yes—
248C23×Dic61C2311yescharacteristic
249C23×Dic61C2311yescharacteristic
250C23×Dic61C2311yescharacteristic
251C23×Dic61C2311yescharacteristic
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×D61C2318yescomplemented
266#14519776C2318yescomplemented
267#14519775C2318yescomplemented
268#14519773C2318yes—
269#14519773C2318yescomplemented
270#14519772C2318yescomplemented
271#14519772C2318yescomplemented
272#14519772C2318yescomplemented
273#14519771C2318yescomplemented
274#14519770C2318yescomplemented
275#14519770C2318yescomplemented
276#14519770C2318yescomplemented
277#14519770C2318yescomplemented
278#14519770C2318yescomplemented
279#14519770C2318yescomplemented
280#14519770C2318yescomplemented
281#14519770C2318yescomplemented
282#14519769C2318yescomplemented
283#14519768C2318yescomplemented
284#14519767C2318yescomplemented
285#14519767C2318yescomplemented
286#14519767C2318yescomplemented
287#14519767C2318yescomplemented
288#14519765C2318yescomplemented
289#14519764C2318yescomplemented
290#14519764C2318yescomplemented
291#14519763C2318yes—
292#14519763C2318yescomplemented
293#14519763C2318yescomplemented
294#14519763C2318yescomplemented
295#14519763C2318yescomplemented
296#14519763C2318yescomplemented
297#14519762C2318yescomplemented
298#14519761C2318yescomplemented
299#14519761C2318yescomplemented
300#14519761C2318yescomplemented
301#14519760C2318yes—
302#14519760C2318yes—
303#14519760C2318yescomplemented
304#14519760C2318yescomplemented
305#14519760C2318yescomplemented
306#14519759C2318yes—
307#14519759C2318yes—
308#14519759C2318yes—
309#14519759C2318yes—
310#14519759C2318yescomplemented
311#14519759C2318yescomplemented
312#14519759C2318yescomplemented
313#14519759C2318yescomplemented
314#14519759C2318yescomplemented
315#14519759C2318yescomplemented
316#14519759C2318yescomplemented
317#14519758C2318yes—
318#14519758C2318yes—
319#14519758C2318yes—
320#14519758C2318yescomplemented
321#14519758C2318yescomplemented
322#14519758C2318yescomplemented
323#14519758C2318yescomplemented
324#14519758C2318yescomplemented
325#14519756C2318yescomplemented
326#14519756C2318yescomplemented
327#14519756C2318yescomplemented
328#14519756C2318yescomplemented
329#14519755C2318yescomplemented
330#14519755C2318yescomplemented
331#14519754C2318yescomplemented
332#14519754C2318yescomplemented
333#14519754C2318yescomplemented
334#14519754C2318yescomplemented
335#14519754C2318yescomplemented
336#14519754C2318yescomplemented
337#14519753C2318yescomplemented
338#14519753C2318yescomplemented
339#14519753C2318yescomplemented
340#14519751C2318yescomplemented
341#14519750C2318yes—
342#14519750C2318yescomplemented
343#14519750C2318yescomplemented
344#14519750C2318yescomplemented
345#14519750C2318yescomplemented
346#14519749C2318yes—
347#14519749C2318yes—
348#14519749C2318yes—
349#14519749C2318yes—
350#14519749C2318yes—
351#14519749C2318yes—
352#14519749C2318yescomplemented
353#14519749C2318yescomplemented
354#14519749C2318yescomplemented
355#14519749C2318yescomplemented
356#14519749C2318yescomplemented
357#14519748C2318yescomplemented
358#14519748C2318yescomplemented
359#14519748C2318yescomplemented
360#14519748C2318yescomplemented
361#14519747C2318yescomplemented
362#14519746C2318yes—
363#14519746C2318yes—
364#14519746C2318yes—
365#14519746C2318yescomplemented
366#14519745C2318yes—
367#14519745C2318yes—
368#14519745C2318yescomplemented
369C4×Dic122C2318yescomplemented
370#14519742C2318yescomplemented
371D4×Dic61C2318yes—
372D4×Dic61C2318yescomplemented
373D4×Dic61C2318yescomplemented
374D4×Dic61C2318yescomplemented
375#14519739C2318yescomplemented
376#14519739C2318yescomplemented
377C4×C22⋊D61C2318yescomplemented
378C4×C22⋊D61C2318yescomplemented
379C4×C22⋊D61C2318yescomplemented
380C4×C22⋊D61C2318yescomplemented
381C4×C22⋊D61C2318yescomplemented
382C4×C22⋊D61C2318yescomplemented
383C4×C22⋊D61C2318yescomplemented
384#14519737C2318yescomplemented
385#14519737C2318yescomplemented
386#14519737C2318yescomplemented
387#14519736C2318yescomplemented
388#14519736C2318yescomplemented
389#14519733C2318yescomplemented
390#14519733C2318yescomplemented
391#14519733C2318yescomplemented
392#14519733C2318yescomplemented
393#14519733C2318yescomplemented
394C2×C4⋊Dic61C2311yescharacteristic
395C2×C4⋊Dic61C2311yescharacteristic
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×C4⋊Dic61C2318yescomplemented
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×#11758196C2311yescharacteristic
425C2×#11758196C2311yescharacteristic
426C2×#11758196C2311yescharacteristic
427C2×#11758196C2311yescharacteristic
428C2×#11758196C2311yescharacteristic
429C2×#11758196C2318yescomplemented
430C2×#11758196C2318yescomplemented
431C4⋊C4×D61C2318yescomplemented
432C2×C22⋊Dic61C2311yescharacteristic
433C2×C22⋊Dic61C2311yescharacteristic
434C2×C22⋊Dic61C2311yescharacteristic
435C2×C22⋊Dic61C2311yescharacteristic
436C2×C22⋊Dic61C2311yescharacteristic
437C2×C22⋊Dic61C2311yescharacteristic
438C2×C22⋊Dic61C2311yescharacteristic
439C2×C22⋊Dic61C2311yescharacteristic
440C2×C22⋊Dic61C2318yes—
441C2×C22⋊Dic61C2318yes—
442C2×C22⋊Dic61C2311yescharacteristic
443C2×C22⋊Dic61C2311yescharacteristic
444C2×C22⋊Dic61C2311yescharacteristic
445C2×C22⋊Dic61C2311yescharacteristic
446C2×C22⋊Dic61C2311yescharacteristic
447C2×C22⋊Dic61C2311yescharacteristic
448C2×C22⋊Dic61C2311yescharacteristic
449C2×C22⋊Dic61C2311yescharacteristic
450C2×C22⋊Dic61C2311yescharacteristic
451C2×C22⋊Dic61C2311yescharacteristic
452C2×C22⋊Dic61C2311yescharacteristic
453C2×C22⋊Dic61C2311yescharacteristic
454C2×C22⋊Dic61C2311yescharacteristic
455C2×C22⋊Dic61C2311yescharacteristic
456C2×C22⋊Dic61C2318yescomplemented
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×#11758198C2311yescharacteristic
471C2×#11758198C2311yescharacteristic
472C2×#11758198C2311yescharacteristic
473C2×#11758198C2318yescomplemented
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
483C25×C61C2311yescharacteristic
484C25×C61C2311yescharacteristic
485C2×#41×C61—44no—
486C2×#41×C61C2318yes—
487C22×Q8×C61C2311yescharacteristic
488C22×D4×C61—44no—
489C22×D4×C61C2311yescharacteristic
490C22×D4×C61C2311yescharacteristic
491C22×D4×C61C2311yescharacteristic
492C22×D4×C61C2318yes—
493C22×D4×C61C2311yescharacteristic
494C22×D4×C61C2311yescharacteristic
495C22×D4×C61C2311yescharacteristic
496C22×D4×C61C2311yescharacteristic
497C22×D4×C61C2311yescharacteristic
498C22×D4×C61C2311yescharacteristic
499C23×C4×C61C2311yescharacteristic
500C23×C4×C61C2311yescharacteristic
501C23×C4×C61C2311yescharacteristic
502C23×C4×C61C2311yescharacteristic
503C23×C4×C61C2311yescharacteristic
504C23×C4×C61C2311yescharacteristic
505#124×C61C2318yescomplemented
506#123×C61C2318yes—
507#123×C61C2318yescomplemented
508C22⋊Q8×C61C2318yescomplemented
509#121×C61C2318yes—
510#121×C61C2318yescomplemented
511#121×C61C2318yescomplemented
512#120×C61C2318yes—
513#120×C61C2318yescomplemented
514C4×D4×C61C2318yes—
515C4×D4×C61C2318yescomplemented
516C2×C4⋊C4×C61C2311yescharacteristic
517C2×C4⋊C4×C61C2311yescharacteristic
518C2×C4⋊C4×C61C2311yescharacteristic
519C2×C4⋊C4×C61C2311yescharacteristic
520C2×C22⋊C4×C61C2318yes—
521C2×C22⋊C4×C61C2311yescharacteristic
522C2×C22⋊C4×C61C2311yescharacteristic
523C2×C22⋊C4×C61C2311yescharacteristic
524C2×C22⋊C4×C61C2311yescharacteristic
525C2×C22⋊C4×C61C2311yescharacteristic
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×C61C2318yescomplemented
534C2×C42×C61C2311yescharacteristic
535C24×C61—24no—
536C24×C61—42no—
537C24×C61—42no—
538C24×C61—42no—
539C24×C61—42no—
540C24×C61—42no—
541C24×C61C2411yescharacteristic
542C24×C61C2411yescharacteristic
543C24×C61C2411yescharacteristic
544C24×C61C2411yescharacteristic
545C24×C61C2411yescharacteristic
546C24×C61C2411yescharacteristic
547C24×C61C2414yes—
548C24×C61C2414yes—
549C23×D61—24no—
550C23×D61—42no—
551C23×D61—42no—
552C23×D61C2411yescharacteristic
553C23×D61C2411yescharacteristic
554C23×D61C2411yescharacteristic
555C23×D61C2414yes—
556#41×C61—416no—
557C2×Q8×C61—42no—
558C2×Q8×C61C2414yes—
559C2×D4×C61—24no—
560C2×D4×C61—24no—
561C2×D4×C61—24no—
562C2×D4×C61—42no—
563C2×D4×C61—42no—
564C2×D4×C61—42no—
565C2×D4×C61—42no—
566C2×D4×C61—42no—
567C2×D4×C61—42no—
568C2×D4×C61—416no—
569C2×D4×C61C2414yes—
570C2×D4×C61C2414yes—
571C2×D4×C61C2414yes—
572C2×D4×C61C2414yes—
573C2×D4×C61C2414yes—
574C2×D4×C61C2414yes—
575C2×D4×C61C2414yes—
576C2×D4×C61C2414yes—
577C2×D4×C61C2414yes—
578C22×C4×C61—24no—
579C22×C4×C61—42no—
580C22×C4×C61—42no—
581C22×C4×C61—42no—
582C22×C4×C61—42no—
583C22×C4×C61—42no—
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×C61C2411yescharacteristic
593C22×C4×C61C2411yescharacteristic
594C22×C4×C61C2414yes—
595C22×C4×C61C2414yes—
596C22×C4×C61C2414yes—
597C22×C4×C61C2414yes—
598C22×C4×C61C2414yes—
599C2×C22⋊D61—24no—
600C2×C22⋊D61—42no—
601C2×C22⋊D61—42no—
602C2×C22⋊D61—42no—
603C2×C22⋊D61—42no—
604C2×C22⋊D61—416no—
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⋊D61—42no—
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—
629C2×C22⋊D61C2414yes—
630C2×C22⋊D61C2414yes—
631C2×C22⋊D61C2414yes—
632C22×Dic61—24no—
633C22×Dic61—24no—
634C22×Dic61—42no—
635C22×Dic61—42no—
636C22×Dic61—42no—
637C22×Dic61—42no—
638C22×Dic61—42no—
639C22×Dic61—42no—
640C22×Dic61—42no—
641C22×Dic61C2411yescharacteristic
642C22×Dic61C2411yescharacteristic
643C22×Dic61C2411yescharacteristic
644C22×Dic61C2411yescharacteristic
645C22×Dic61C2414yes—
646C22×Dic61C2411yescharacteristic
647C22×Dic61C2411yescharacteristic
648C22×Dic61C2411yescharacteristic
649C22×Dic61C2411yescharacteristic
650C22×Dic61C2411yescharacteristic
651C22×Dic61C2414yes—
652C22×Dic61C2411yescharacteristic
653C22×Dic61C2411yescharacteristic
654C22×Dic61C2411yescharacteristic
655C22×Dic61C2411yescharacteristic
656C22×Dic61C2414yes—
657C22×Dic61C2414yes—
658C22×Dic61C2414yes—
659C22×Dic61C2414yes—
660C22×Dic61C2414yes—
661C22×Dic61C2414yes—
662C22×Dic61C2414yes—
663#11758224—416no—
664#11758224—416no—
665C2×D244—42no—
666C2×D244—42no—
667C2×D244C2414yes—
668C2×D244C2414yes—
669C2×C4×D61—42no—
670C2×C4×D61—42no—
671C2×C4×D61—42no—
672C2×C4×D61—42no—
673C2×C4×D61—416no—
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×Dic122—42no—
685C2×Dic122—42no—
686C2×Dic122—42no—
687C2×Dic122—42no—
688C2×Dic122C2414yes—
689C2×Dic122C2414yes—
690C2×Dic122C2414yes—
691C2×Dic122C2414yes—
692C4⋊C4×C61C2414yes—
693C4⋊C4×C61C2414yes—
694C4⋊C4×C61C2414yes—
695C4⋊C4×C61C2414yes—
696C22⋊C4×C61C2414yes—
697C22⋊C4×C61C2414yes—
698C22⋊C4×C61C2414yes—
699C22⋊C4×C61C2414yes—
700C22⋊C4×C61C2414yes—
701C22⋊C4×C61C2414yes—
702C22⋊C4×C61C2414yes—
703C22⋊C4×C61C2414yes—
704C22⋊C4×C61C2414yes—
705C22⋊C4×C61C2414yes—
706C22⋊C4×C61C2414yes—
707C22⋊C4×C61C2414yes—
708C42×C61C2414yes—
709C22⋊Dic61C2414yes—
710C22⋊Dic61C2414yes—
711C22⋊Dic61C2414yes—
712C22⋊Dic61C2414yes—
713C22⋊Dic61C2414yes—
714C22⋊Dic61C2414yes—
715C22⋊Dic61C2414yes—
716C22⋊Dic61C2414yes—
717C22⋊Dic61C2414yes—
718C22⋊Dic61C2414yes—
719C22⋊Dic61C2414yes—
720C22⋊Dic61C2414yes—
721C22⋊Dic61C2414yes—
722C22⋊Dic61C2414yes—
723C22⋊Dic61C2414yes—
724C22⋊Dic61C2414yes—
725C22⋊Dic61C2414yes—
726C22⋊Dic61C2414yes—
727C22⋊Dic61C2414yes—
728C22⋊Dic61C2414yes—
729C22⋊Dic61C2414yes—
730C22⋊Dic61C2414yes—
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—
747C4⋊Dic61C2414yes—
748C4⋊Dic61C2414yes—
749C4⋊Dic61C2414yes—
750C4⋊Dic61C2414yes—
751C4⋊Dic61C2414yes—
752C4⋊Dic61C2414yes—
753C4⋊Dic61C2414yes—
754C4⋊Dic61C2414yes—
755C4⋊Dic61C2414yes—
756C4⋊Dic61C2414yes—
757#11758196C2414yes—
758#11758196C2414yes—
759#11758196C2414yes—
760#11758196C2414yes—
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×C61—22no—
802C23×C61—22no—
803C23×C61—22no—
804C23×C61—22no—
805C23×C61—22no—
806C23×C61—22no—
807C23×C61—28no—
808C23×C61—44no—
809C23×C61—44no—
810C23×C61—44no—
811C23×C61—44no—
812C23×C61—44no—
813C23×C61—88no—
814C23×C61—88no—
815C23×C61H(5,𝔽2)14yes—
816C23×C61C2512yes—
817C23×C61C2512yes—
818C23×C61C2512yes—
819C23×C61C2512yes—
820C23×C61C2512yes—
821C23×C61C2512yes—
822C23×C61C2511yescharacteristic
823C22×D61—22no—
824C22×D61—28no—
825C22×D61—22no—
826C22×D61—22no—
827C22×D61—22no—
828C22×D61—22no—
829C22×D61—22no—
830C22×D61—22no—
831C22×D61—22no—
832C22×D61—22no—
833C22×D61—44no—
834C22×D61—44no—
835C22×D61—416no—
836C22×D61C2512yes—
837C22×D61C2512yes—
838C22×D61C2512yes—
839Q8×C61—44no—
840D4×C61—28no—
841D4×C61—28no—
842D4×C61—28no—
843D4×C61—44no—
844D4×C61—44no—
845D4×C61—44no—
846D4×C61—44no—
847D4×C61—44no—
848D4×C61—44no—
849C2×C4×C61—22no—
850C2×C4×C61—22no—
851C2×C4×C61—22no—
852C2×C4×C61—22no—
853C2×C4×C61—28no—
854C2×C4×C61—22no—
855C2×C4×C61—22no—
856C2×C4×C61—22no—
857C2×C4×C61—22no—
858C2×C4×C61—22no—
859C2×C4×C61—44no—
860C2×C4×C61—44no—
861C2×C4×C61—44no—
862C2×C4×C61—44no—
863C2×C4×C61—44no—
864C2×C4×C61C2512yes—
865C2×C4×C61C2512yes—
866C2×C4×C61C2512yes—
867C2×C4×C61C2512yes—
868C2×C4×C61C2512yes—
869C2×C4×C61C2512yes—
870C2×C4×C61C2512yes—
871C2×C4×C61C2512yes—
872C2×C4×C61C2512yes—
873C22⋊D61—28no—
874C22⋊D61—44no—
875C22⋊D61—44no—
876C22⋊D61—44no—
877C22⋊D61—44no—
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—
889C2×Dic61—22no—
890C2×Dic61—22no—
891C2×Dic61—22no—
892C2×Dic61—22no—
893C2×Dic61—28no—
894C2×Dic61—22no—
895C2×Dic61—28no—
896C2×Dic61—22no—
897C2×Dic61—22no—
898C2×Dic61—22no—
899C2×Dic61—22no—
900C2×Dic61—22no—
901C2×Dic61—22no—
902C2×Dic61—22no—
903C2×Dic61—22no—
904C2×Dic61—44no—
905C2×Dic61—44no—
906C2×Dic61—44no—
907C2×Dic61—44no—
908C2×Dic61—44no—
909C2×Dic61—44no—
910C2×Dic61—44no—
911C2×Dic61C2512yes—
912C2×Dic61C2512yes—
913C2×Dic61C2512yes—
914C2×Dic61C2512yes—
915C2×Dic61C2512yes—
916C2×Dic61C2512yes—
917C2×Dic61C2512yes—
918C2×Dic61C2512yes—
919C2×Dic61C2512yes—
920C2×Dic61C2512yes—
921C2×Dic61C2512yes—
922C2×Dic61C2512yes—
923C2×Dic61C2512yes—
924D244—44no—
925D244—44no—
926C4×D61—44no—
927C4×D61—44no—
928C4×D61—44no—
929C4×D61—44no—
930C4×D61—44no—
931C4×D61—44no—
932C4×D61—44no—
933Dic122—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—22no—
951C22×C61—22no—
952C22×C61—22no—
953C22×C61—22no—
954C22×C61—22no—
955C22×C61—22no—
956C22×C61—44no—
957C22×C61—44no—
958C22×C61—44no—
959C22×C61—44no—
960C22×C61—44no—
961C22×C61—88no—
962C22×C61—88no—
963C22×C61C2×H(5,𝔽2)14yes—
964C22×C61C2×H(5,𝔽2)12yes—
965C22×C61#58512yes—
966C22×C61#58512yes—
967C22×C61C2611yescharacteristic
968C2×D61—22no—
969C2×D61—22no—
970C2×D61—22no—
971C2×D61—22no—
972C2×D61—22no—
973C2×D61—22no—
974C2×D61—22no—
975C2×D61—22no—
976C2×D61—22no—
977C2×D61—416no—
978C2×D61—44no—
979C2×D61—44no—
980C2×D61—44no—
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—
990Dic61—22no—
991Dic61—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×#547—611no—
1018C2×#546—611no—
1019C2×#546D6111yescharacteristic, complemented
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—42no—
1040C2×C61—42no—
1041C2×C61#353314yescomplemented
1042C2×C61C22×H(5,𝔽2)11yescharacteristic
1043C2×C61C2×#58511yescharacteristic
1044C2×C61C2×#58511yescharacteristic
1045D61—42no—
1046D61—42no—
1047D61—42no—
1048C22×#41—611no—
1049C22×#41—611no—
1050C22×#41C2×D6111yescharacteristic
1051C23×D4—611no—
1052C23×D4C2×D6111yescharacteristic
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#547—6116no—
1068#546—6116no—
1069#546C2×D61116yescomplemented
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⋊Q8—611no—
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×#124C2×D6111yescharacteristic, complemented
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—611no—
1138C2×#123—6116no—
1139C2×#123—611no—
1140C2×#123—611no—
1141C2×#123—611no—
1142C2×#123—611no—
1143C2×#123—611no—
1144C2×#123—611no—
1145C2×#123C2×D6111yescharacteristic
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⋊Q8—611no—
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×#121C2×D6111yescharacteristic
1185C2×#121C2×D6111yescharacteristic, complemented
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×#120C2×D6111yescharacteristic
1196C2×#120C2×D6111yescharacteristic, complemented
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
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⋊C4—611no—
1227C22×C4⋊C4—611no—
1228C22×C22⋊C4—611no—
1229C22×C22⋊C4—611no—
1230C22×C22⋊C4—611no—
1231C22×C22⋊C4—611no—
1232C22×C22⋊C4C2×D6111yescharacteristic
1233C22×C22⋊C4C2×D6111yescharacteristic, complemented
1234C61C2×#353311yescharacteristic, complemented, Sylow
1235C25—611no—
1236C25C22×D6111yescharacteristic
1237C25C22×D6111yescharacteristic
1238C2×#41—44no—
1239C2×#41—618no—
1240C2×#41—618no—
1241C2×#41—2444no—
1242C2×#41—2444no—
1243C2×#41C22×D6118yes—
1244C22×Q8—611no—
1245C22×Q8—611no—
1246C22×Q8—611no—
1247C22×Q8—611no—
1248C22×Q8C22×D6111yescharacteristic
1249C22×D4—44no—
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—611no—
1264C22×D4—611no—
1265C22×D4—611no—
1266C22×D4—618no—
1267C22×D4—611no—
1268C22×D4—611no—
1269C22×D4—2444no—
1270C22×D4C22×D6111yescharacteristic
1271C22×D4C22×D6111yescharacteristic
1272C22×D4C22×D6111yescharacteristic
1273C22×D4C22×D6111yescharacteristic
1274C22×D4C22×D6111yescharacteristic
1275C22×D4C22×D6111yescharacteristic
1276C22×D4C22×D6111yescharacteristic
1277C22×D4C22×D6111yescharacteristic
1278C22×D4C22×D6111yescharacteristic
1279C22×D4C22×D6118yes—
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—611no—
1295C23×C4—611no—
1296C23×C4—618no—
1297C23×C4—2444no—
1298C23×C4C22×D6111yescharacteristic
1299C23×C4C22×D6111yescharacteristic
1300C23×C4C22×D6111yescharacteristic
1301C23×C4C22×D6111yescharacteristic
1302C23×C4C22×D6111yescharacteristic
1303C23×C4C22×D6111yescharacteristic
1304C4⋊Q8—618no—
1305C4⋊Q8—618no—
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#124C22×D6118yescomplemented
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#123—618no—
1363#123—618no—
1364#123C22×D6118yes—
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⋊Q8—618no—
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#121C22×D6118yes—
1404#121C22×D6118yescomplemented
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#120C22×D6118yes—
1415#120C22×D6118yescomplemented
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×D6118yes—
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—611no—
1451C2×C4⋊C4—611no—
1452C2×C4⋊C4—611no—
1453C2×C4⋊C4—611no—
1454C2×C4⋊C4—611no—
1455C2×C4⋊C4—611no—
1456C2×C4⋊C4—618no—
1457C2×C4⋊C4—618no—
1458C2×C4⋊C4—618no—
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⋊C4—611no—
1474C2×C4⋊C4—611no—
1475C2×C4⋊C4—611no—
1476C2×C4⋊C4—611no—
1477C2×C4⋊C4—611no—
1478C2×C4⋊C4—611no—
1479C2×C4⋊C4—611no—
1480C2×C4⋊C4—618no—
1481C2×C4⋊C4C22×D6111yescharacteristic
1482C2×C4⋊C4C22×D6111yescharacteristic
1483C2×C4⋊C4C22×D6111yescharacteristic
1484C2×C4⋊C4C22×D6111yescharacteristic
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—618no—
1497C2×C22⋊C4—618no—
1498C2×C22⋊C4—618no—
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—611no—
1514C2×C22⋊C4—618no—
1515C2×C22⋊C4—611no—
1516C2×C22⋊C4—611no—
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⋊C4C22×D6111yescharacteristic
1528C2×C22⋊C4C22×D6111yescharacteristic
1529C2×C22⋊C4C22×D6111yescharacteristic
1530C2×C22⋊C4C22×D6111yescharacteristic
1531C2×C22⋊C4C22×D6118yes—
1532C2×C22⋊C4C22×D6111yescharacteristic
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×D6118yescomplemented
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—24no—
1552C24—42no—
1553C24—42no—
1554C24—42no—
1555C24—42no—
1556C24—42no—
1557C24—611no—
1558C24—611no—
1559C24—611no—
1560C24—614no—
1561C24—1224no—
1562C24—2442no—
1563C24—2442no—
1564C24C23×D6111yescharacteristic
1565C24C23×D6111yescharacteristic
1566C24C23×D6111yescharacteristic
1567C24C23×D6111yescharacteristic
1568C24C23×D6111yescharacteristic
1569C24C23×D6111yescharacteristic
1570C24C23×D6114yes—
1571C24C23×D6114yes—
1572#41—416no—
1573#41—24416no—
1574#41—24416no—
1575C2×Q8—42no—
1576C2×Q8—614no—
1577C2×Q8—614no—
1578C2×Q8—614no—
1579C2×Q8—614no—
1580C2×Q8—2442no—
1581C2×Q8—2442no—
1582C2×Q8—2442no—
1583C2×Q8—2442no—
1584C2×Q8C23×D6114yes—
1585C2×D4—24no—
1586C2×D4—24no—
1587C2×D4—24no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—416no—
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—614no—
1613C2×D4—1224no—
1614C2×D4—2442no—
1615C2×D4—2442no—
1616C2×D4—2442no—
1617C2×D4—2442no—
1618C2×D4—2442no—
1619C2×D4—2442no—
1620C2×D4—24416no—
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×D4C23×D6114yes—
1633C2×D4C23×D6114yes—
1634C2×D4C23×D6114yes—
1635C2×D4C23×D6114yes—
1636C2×D4C23×D6114yes—
1637C2×D4C23×D6114yes—
1638C2×D4C23×D6114yes—
1639C2×D4C23×D6114yes—
1640C2×D4C23×D6114yes—
1641C22×C4—24no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—614no—
1648C22×C4—614no—
1649C22×C4—611no—
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—611no—
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—614no—
1675C22×C4—614no—
1676C22×C4—1224no—
1677C22×C4—1224no—
1678C22×C4—2442no—
1679C22×C4—2442no—
1680C22×C4—2442no—
1681C22×C4—2442no—
1682C22×C4—24416no—
1683C22×C4—2442no—
1684C22×C4—2442no—
1685C22×C4—2442no—
1686C22×C4—2442no—
1687C22×C4—2442no—
1688C22×C4—2442no—
1689C22×C4—2442no—
1690C22×C4—2442no—
1691C22×C4—2442no—
1692C22×C4—2442no—
1693C22×C4C23×D6114yes—
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×D6111yescharacteristic
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⋊C4—614no—
1737C4⋊C4—614no—
1738C4⋊C4—614no—
1739C4⋊C4—614no—
1740C4⋊C4—614no—
1741C4⋊C4—614no—
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⋊C4C23×D6114yes—
1785C22⋊C4C23×D6114yes—
1786C22⋊C4C23×D6114yes—
1787C22⋊C4C23×D6114yes—
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—22no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—22no—
1822C23—22no—
1823C23—28no—
1824C23—44no—
1825C23—44no—
1826C23—44no—
1827C23—44no—
1828C23—44no—
1829C23—88no—
1830C23—88no—
1831C23—612no—
1832C23—612no—
1833C23—612no—
1834C23—1222no—
1835C23—1228no—
1836C23—1222no—
1837C23—1222no—
1838C23—1222no—
1839C23—1222no—
1840C23—1222no—
1841C23—1222no—
1842C23—1222no—
1843C23—1222no—
1844C23—2444no—
1845C23—2444no—
1846C23—24416no—
1847C23#1451982214yes—
1848C23C24×D6112yes—
1849C23C24×D6112yes—
1850C23C24×D6112yes—
1851C23C24×D6112yes—
1852C23C24×D6112yes—
1853C23C24×D6112yes—
1854C23C24×D6111yescharacteristic
1855Q8—44no—
1856Q8—2444no—
1857Q8—2444no—
1858Q8—2444no—
1859Q8—2444no—
1860D4—28no—
1861D4—28no—
1862D4—28no—
1863D4—44no—
1864D4—44no—
1865D4—44no—
1866D4—44no—
1867D4—44no—
1868D4—44no—
1869D4—1228no—
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—28no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—44no—
1898C2×C4—44no—
1899C2×C4—44no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—612no—
1903C2×C4—612no—
1904C2×C4—612no—
1905C2×C4—612no—
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—1222no—
1916C2×C4—1222no—
1917C2×C4—1222no—
1918C2×C4—1228no—
1919C2×C4—1222no—
1920C2×C4—1228no—
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—1222no—
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×C4—2444no—
1943C2×C4—2444no—
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—22no—
1966C22—22no—
1967C22—22no—
1968C22—22no—
1969C22—22no—
1970C22—22no—
1971C22—44no—
1972C22—44no—
1973C22—44no—
1974C22—44no—
1975C22—44no—
1976C22—88no—
1977C22—88no—
1978C22—1222no—
1979C22—1222no—
1980C22—1222no—
1981C22—1222no—
1982C22—1222no—
1983C22—1222no—
1984C22—1222no—
1985C22—1222no—
1986C22—1222no—
1987C22—24416no—
1988C22—2444no—
1989C22—2444no—
1990C22—2444no—
1991C22C2×#1451982214yes—
1992C22C2×#1451982212yes—
1993C22#1684059712yes—
1994C22#1684059812yes—
1995C22C25×D6111yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—1222no—
2006C4—1222no—
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—42no—
2023C2—42no—
2024C2—2442no—
2025C2—2442no—
2026C2—2442no—
2027C2#2145997814yesdirect product factor
2028C2C22×#1451982211yescharacteristic
2029C2C2×#1684059711yescharacteristic
2030C2C2×#1684059811yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#546C2
socleC23×C61C25
hypercenterC2×#546D61
hypocenterC61C2×#3533
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #21459978C2direct (N × H)
2. C2×#16840513C2semidirect
3. C2×#16840507C2semidirect
4. C2×#16840506C2semidirect
5. C2×#16840501C2semidirect
6. C2×#16840495C2semidirect
7. C2×#16840457C2semidirect
8. C2×#16840455C2semidirect
9. C2×#16840452C2semidirect
10. C2×#16840449C2semidirect
11. C2×#16840443C2semidirect
12. C2×#16840438C2semidirect
13. C2×#16840438C2semidirect
14. C2×#16840412C2semidirect
15. C2×#16840411C2semidirect
16. C2×#16840406C2semidirect
17. C2×#16840380C2semidirect
18. C2×#16840376C2semidirect
19. C2×#16840365C2semidirect
20. C2×#16840362C2semidirect
21. C2×#16840358C2semidirect
22. C2×#16840354C2semidirect
23. C2×#16840350C2semidirect
24. C2×#16840349C2semidirect
25. C2×#16840347C2semidirect
26. C2×#16840345C2semidirect
27. C2×#16840327C2semidirect
28. C2×#16840321C2semidirect
29. C2×#16840270C2semidirect
30. C2×#16840269C2semidirect
31. C22×#14519759C2semidirect
32. C2×C61×#546C2semidirect
34. C22×#11758224C22semidirect
36. C23×C4×D61C22semidirect
37. #16840513C22semidirect
38. #16840507C22semidirect
39. #16840506C22semidirect
40. #16840501C22semidirect
41. #16840495C22semidirect
42. #16840457C22semidirect
43. #16840455C22semidirect
44. #16840452C22semidirect
45. #16840449C22semidirect
46. #16840443C22semidirect
47. #16840438C22semidirect
48. #16840438C22semidirect
49. #16840412C22semidirect
50. #16840411C22semidirect
51. #16840406C22semidirect
52. #16840380C22semidirect
53. #16840376C22semidirect
54. #16840365C22semidirect
55. #16840362C22semidirect
56. #16840358C22semidirect
57. #16840354C22semidirect
58. #16840350C22semidirect
59. #16840349C22semidirect
60. #16840347C22semidirect
61. #16840345C22semidirect
62. #16840327C22semidirect
63. #16840321C22semidirect
64. C2×#14519776C22semidirect
65. C2×#14519775C22semidirect
67. C2×#14519773C22semidirect
68. C2×#14519772C22semidirect
69. C2×#14519772C22semidirect
70. C2×#14519772C22semidirect
71. C2×#14519771C22semidirect
72. C2×#14519770C22semidirect
73. C2×#14519770C22semidirect
74. C2×#14519770C22semidirect
75. C2×#14519770C22semidirect
76. C2×#14519770C22semidirect
77. C2×#14519770C22semidirect
78. C2×#14519770C22semidirect
79. C2×#14519770C22semidirect
80. C2×#14519769C22semidirect
81. C2×#14519768C22semidirect
82. C2×#14519767C22semidirect
83. C2×#14519767C22semidirect
84. C2×#14519767C22semidirect
85. C2×#14519767C22semidirect
86. C2×#14519765C22semidirect
87. C2×#14519764C22semidirect
88. C2×#14519764C22semidirect
90. C2×#14519763C22semidirect
91. C2×#14519763C22semidirect
92. C2×#14519763C22semidirect
93. C2×#14519763C22semidirect
94. C2×#14519763C22semidirect
95. #16840270C22semidirect
96. #16840269C22semidirect
97. C2×#14519762C22semidirect
98. C2×#14519761C22semidirect
99. C2×#14519761C22semidirect
100. C2×#14519761C22semidirect
103. C2×#14519760C22semidirect
104. C2×#14519760C22semidirect
105. C2×#14519760C22semidirect
110. C2×#14519759C22semidirect
111. C2×#14519759C22semidirect
112. C2×#14519759C22semidirect
113. C2×#14519759C22semidirect
114. C2×#14519759C22semidirect
115. C2×#14519759C22semidirect
116. C2×#14519759C22semidirect
117. C2×#14519759C22semidirect
121. C2×#14519758C22semidirect
122. C2×#14519758C22semidirect
123. C2×#14519758C22semidirect
124. C2×#14519758C22semidirect
125. C2×#14519758C22semidirect
126. C2×#14519756C22semidirect
127. C2×#14519756C22semidirect
128. C2×#14519756C22semidirect
129. C2×#14519756C22semidirect
130. C2×#14519755C22semidirect
131. C2×#14519755C22semidirect
132. C2×#14519754C22semidirect
133. C2×#14519754C22semidirect
134. C2×#14519754C22semidirect
135. C2×#14519754C22semidirect
136. C2×#14519754C22semidirect
137. C2×#14519754C22semidirect
138. C2×#14519753C22semidirect
139. C2×#14519753C22semidirect
140. C2×#14519753C22semidirect
141. C2×#14519751C22semidirect
143. C2×#14519750C22semidirect
144. C2×#14519750C22semidirect
145. C2×#14519750C22semidirect
146. C2×#14519750C22semidirect
153. C2×#14519749C22semidirect
154. C2×#14519749C22semidirect
155. C2×#14519749C22semidirect
156. C2×#14519749C22semidirect
157. C2×#14519749C22semidirect
158. C2×#14519748C22semidirect
159. C2×#14519748C22semidirect
160. C2×#14519748C22semidirect
161. C2×#14519748C22semidirect
162. C2×#14519747C22semidirect
166. C2×#14519746C22semidirect
169. C2×#14519745C22semidirect
170. C2×C4×Dic122C22semidirect
171. C2×#14519742C22semidirect
173. C2×D4×Dic61C22semidirect
174. C2×D4×Dic61C22semidirect
175. C2×D4×Dic61C22semidirect
176. C2×#14519739C22semidirect
177. C2×#14519739C22semidirect
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×C4×C22⋊D61C22semidirect
185. C2×#14519737C22semidirect
186. C2×#14519737C22semidirect
187. C2×#14519737C22semidirect
188. C2×#14519736C22semidirect
189. C2×#14519736C22semidirect
190. C2×#14519733C22semidirect
191. C2×#14519733C22semidirect
192. C2×#14519733C22semidirect
193. C2×#14519733C22semidirect
194. C2×#14519733C22semidirect
195. C22×C4⋊Dic61C22semidirect
196. C22×#11758196C22semidirect
197. C22×#11758196C22semidirect
198. C2×C4⋊C4×D61C22semidirect
201. C22×C22⋊Dic61C22semidirect
202. C22×#11758198C22semidirect
205. C61×#546C22semidirect
206. C2×#124×C61C22semidirect
208. C2×#123×C61C22semidirect
209. C2×C22⋊Q8×C61C22semidirect
211. C2×#121×C61C22semidirect
212. C2×#121×C61C22semidirect
214. C2×#120×C61C22semidirect
216. C2×C4×D4×C61C22semidirect
218. C22×C22⋊C4×C61C22semidirect
223. C2×#11758224C23semidirect
265. C22×C4×D61C23semidirect
266. #14519776C23semidirect
267. #14519775C23semidirect
269. #14519773C23semidirect
270. #14519772C23semidirect
271. #14519772C23semidirect
272. #14519772C23semidirect
273. #14519771C23semidirect
274. #14519770C23semidirect
275. #14519770C23semidirect
276. #14519770C23semidirect
277. #14519770C23semidirect
278. #14519770C23semidirect
279. #14519770C23semidirect
280. #14519770C23semidirect
281. #14519770C23semidirect
282. #14519769C23semidirect
283. #14519768C23semidirect
284. #14519767C23semidirect
285. #14519767C23semidirect
286. #14519767C23semidirect
287. #14519767C23semidirect
288. #14519765C23semidirect
289. #14519764C23semidirect
290. #14519764C23semidirect
292. #14519763C23semidirect
293. #14519763C23semidirect
294. #14519763C23semidirect
295. #14519763C23semidirect
296. #14519763C23semidirect
297. #14519762C23semidirect
298. #14519761C23semidirect
299. #14519761C23semidirect
300. #14519761C23semidirect
303. #14519760C23semidirect
304. #14519760C23semidirect
305. #14519760C23semidirect
310. #14519759C23semidirect
311. #14519759C23semidirect
312. #14519759C23semidirect
313. #14519759C23semidirect
314. #14519759C23semidirect
315. #14519759C23semidirect
316. #14519759C23semidirect
320. #14519758C23semidirect
321. #14519758C23semidirect
322. #14519758C23semidirect
323. #14519758C23semidirect
324. #14519758C23semidirect
325. #14519756C23semidirect
326. #14519756C23semidirect
327. #14519756C23semidirect
328. #14519756C23semidirect
329. #14519755C23semidirect
330. #14519755C23semidirect
331. #14519754C23semidirect
332. #14519754C23semidirect
333. #14519754C23semidirect
334. #14519754C23semidirect
335. #14519754C23semidirect
336. #14519754C23semidirect
337. #14519753C23semidirect
338. #14519753C23semidirect
339. #14519753C23semidirect
340. #14519751C23semidirect
342. #14519750C23semidirect
343. #14519750C23semidirect
344. #14519750C23semidirect
345. #14519750C23semidirect
352. #14519749C23semidirect
353. #14519749C23semidirect
354. #14519749C23semidirect
355. #14519749C23semidirect
356. #14519749C23semidirect
357. #14519748C23semidirect
358. #14519748C23semidirect
359. #14519748C23semidirect
360. #14519748C23semidirect
361. #14519747C23semidirect
365. #14519746C23semidirect
368. #14519745C23semidirect
369. C4×Dic122C23semidirect
370. #14519742C23semidirect
372. D4×Dic61C23semidirect
373. D4×Dic61C23semidirect
374. D4×Dic61C23semidirect
375. #14519739C23semidirect
376. #14519739C23semidirect
377. C4×C22⋊D61C23semidirect
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. #14519737C23semidirect
385. #14519737C23semidirect
386. #14519737C23semidirect
387. #14519736C23semidirect
388. #14519736C23semidirect
389. #14519733C23semidirect
390. #14519733C23semidirect
391. #14519733C23semidirect
392. #14519733C23semidirect
393. #14519733C23semidirect
404. C2×C4⋊Dic61C23semidirect
429. C2×#11758196C23semidirect
430. C2×#11758196C23semidirect
431. C4⋊C4×D61C23semidirect
456. C2×C22⋊Dic61C23semidirect
473. C2×#11758198C23semidirect
505. #124×C61C23semidirect
507. #123×C61C23semidirect
508. C22⋊Q8×C61C23semidirect
510. #121×C61C23semidirect
511. #121×C61C23semidirect
513. #120×C61C23semidirect
515. C4×D4×C61C23semidirect
533. C2×C22⋊C4×C61C23semidirect
1019. C2×#546D61semidirect
1041. C2×C61#3533semidirect
1069. #546C2×D61semidirect
1113. C2×#124C2×D61semidirect
1146. C2×#123C2×D61semidirect
1162. C2×C22⋊Q8C2×D61semidirect
1185. C2×#121C2×D61semidirect
1186. C2×#121C2×D61semidirect
1196. C2×#120C2×D61semidirect
1216. C2×C4×D4C2×D61semidirect
1233. C22×C22⋊C4C2×D61semidirect
1234. C61C2×#3533semidirect
1335. #124C22×D61semidirect
1365. #123C22×D61semidirect
1381. C22⋊Q8C22×D61semidirect
1404. #121C22×D61semidirect
1405. #121C22×D61semidirect
1415. #120C22×D61semidirect
1435. C4×D4C22×D61semidirect
1540. C2×C22⋊C4C22×D61semidirect
2027. C2#21459978direct (N × H)

Maximal subgroups

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

subgroupindex
#214599782
C2×#168405132
C2×#168405072
C2×#168405062
C2×#168405012
C2×#168404952
C2×#168404572
C2×#168404552
C2×#168404522
C2×#168404492
C2×#168404432
C2×#168404382
C2×#168404122
C2×#168404112
C2×#168404062
C2×#168403802
C2×#168403762
C2×#168403652
C2×#168403622
C2×#168403582
C2×#168403542
C2×#168403502
C2×#168403492
C2×#168403472
C2×#168403452
C2×#168403272
C2×#168403212
C2×#168402702
C2×#168402692
C22×#145197592
C2×C61×#5462
C2×#353361