Finite Group Databasebeta

← D61×#3275 #30555135

Subgroups — D61×#3275 #30555135

Order 15616.

2902 conjugacy classes of subgroups.

The subgroup lattice has 2094 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#137×D61C211yesmaximal, characteristic, complemented
2C2×AGL(1,ℤ/8)×D61C211yesmaximal, characteristic, complemented
3#548×D61C211yesmaximal, characteristic, complemented
4#546×D61C211yesmaximal, characteristic, complemented
5#21457457C211yesmaximal, characteristic, complemented
6#21457456C211yesmaximal, characteristic, complemented
7#21457455C211yesmaximal, characteristic, complemented
8#21457454C211yesmaximal, characteristic, complemented
9#21457453C211yesmaximal, characteristic, complemented
10#21457452C211yesmaximal, characteristic, complemented
11#21457451C211yesmaximal, characteristic, complemented
12#21457450C211yesmaximal, characteristic, complemented
13#21457449C211yesmaximal, characteristic, complemented
14#21457448C211yesmaximal, characteristic, complemented
15#21457447C211yesmaximal, characteristic, complemented
16#21457446C211yesmaximal, characteristic, complemented
17#21457445C211yesmaximal, characteristic, complemented
18#21457444C211yesmaximal, characteristic, complemented
19#21457443C211yesmaximal, characteristic, complemented
20#495×D61C211yesmaximal, characteristic, complemented
21#470×D61C211yesmaximal, characteristic, complemented
22#469×D61C211yesmaximal, characteristic, complemented
23#464×D61C211yesmaximal, characteristic, complemented
24#463×D61C211yesmaximal, characteristic, complemented
25#452×D61C211yesmaximal, characteristic, complemented
26#449×D61C211yesmaximal, characteristic, complemented
27#448×D61C211yesmaximal, characteristic, complemented
28#450×D61C211yesmaximal, characteristic, complemented
29C4×SD16×D61C211yesmaximal, characteristic, complemented
30#436×D61C211yesmaximal, characteristic, complemented
31C61×#3275C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C22×Q8×D61C2211yescharacteristic, complemented
35C22×D4×D61C2211yescharacteristic
36C2×#14519810C2211yescharacteristic, complemented
37C2×#14519809C2211yescharacteristic, complemented
38C2×#14519809C2211yescharacteristic, complemented
39C2×#14519808C2211yescharacteristic, complemented
40C2×#14519807C2211yescharacteristic, complemented
41C2×#14519806C2211yescharacteristic, complemented
42C2×#14519806C2211yescharacteristic, complemented
43#137×D61—28no—
44C2×#14519805C2211yescharacteristic, complemented
45C2×#14519804C2211yescharacteristic, complemented
46C2×#14519804C2211yescharacteristic, complemented
47C2×#14519803C2211yescharacteristic, complemented
48C2×#14519802C2211yescharacteristic, complemented
49C2×#14519801C2211yescharacteristic, complemented
50C2×#14519801C2211yescharacteristic, complemented
51AGL(1,ℤ/8)×D61—28no—
52C2×Q16×D61C2211yescharacteristic, complemented
53C2×Q16×D61C2211yescharacteristic, complemented
54C2×SD16×D61C2211yescharacteristic
55C2×SD16×D61C2211yescharacteristic
56C2×SD16×D61C2211yescharacteristic
57C2×SD16×D61C2211yescharacteristic
58C2×SD16×D61C2211yescharacteristic, complemented
59C2×D8×D61C2211yescharacteristic
60C2×D8×D61C2211yescharacteristic
61C2×M16×D61C2211yescharacteristic
62C2×M16×D61C2211yescharacteristic, complemented
63#16840424C2211yescharacteristic, complemented
64#16840423C2211yescharacteristic, complemented
65#16840422—21no—
66#16840422C2211yescharacteristic, complemented
67#16840421—21no—
68#16840421C2211yescharacteristic, complemented
69#16840420—21no—
70#16840420C2211yescharacteristic, complemented
71#16840419C2211yescharacteristic, complemented
72#16840418—21no—
73#16840418C2211yescharacteristic, complemented
74#16840409C2211yescharacteristic, complemented
75#16840408C2211yescharacteristic, complemented
76#16840407C2211yescharacteristic, complemented
77#16840406C2211yescharacteristic, complemented
78#16840405C2211yescharacteristic, complemented
79#16840404—21no—
80#16840403C2211yescharacteristic, complemented
81#16840402—21no—
82#16840401—21no—
83#16840400C2211yescharacteristic, complemented
84#16840399—21no—
85#124×D61—21no—
86#124×D61C2211yescharacteristic
87#124×D61C2211yescharacteristic, complemented
88#123×D61—21no—
89C22⋊Q8×D61—21no—
90C22⋊Q8×D61C2211yescharacteristic
91C22⋊Q8×D61C2211yescharacteristic
92#121×D61—21no—
93#121×D61—21no—
94#121×D61C2211yescharacteristic
95#121×D61C2211yescharacteristic, complemented
96#120×D61—21no—
97C4×Q8×D61C2211yescharacteristic, complemented
98C4×D4×D61—21no—
99C4×D4×D61C2211yescharacteristic
100C4×D4×D61C2211yescharacteristic
101C2×C22⋊C4×D61—21no—
102#16840147C2211yescharacteristic, complemented
103#16840146C2211yescharacteristic, complemented
104#16840145C2211yescharacteristic, complemented
105#16840144C2211yescharacteristic, complemented
106#16840144C2211yescharacteristic, complemented
107#16840143C2211yescharacteristic, complemented
108#16840143C2211yescharacteristic, complemented
109#16840021C2211yescharacteristic, complemented
110#16840020C2211yescharacteristic, complemented
111#16840019C2211yescharacteristic, complemented
112#16840019C2211yescharacteristic, complemented
113#16840018C2211yescharacteristic, complemented
114#16840018C2211yescharacteristic, complemented
115#16840017C2211yescharacteristic, complemented
116#16840016C2211yescharacteristic, complemented
117#16840015C2211yescharacteristic, complemented
118#16840014C2211yescharacteristic, complemented
119#16840014C2211yescharacteristic, complemented
120#16840013C2211yescharacteristic, complemented
121#16840013C2211yescharacteristic, complemented
122#16840012C2211yescharacteristic, complemented
123#16839987C2211yescharacteristic, complemented
124#16839986C2211yescharacteristic, complemented
125#16839985C2211yescharacteristic, complemented
126#16839984C2211yescharacteristic, complemented
127#16839983C2211yescharacteristic, complemented
128#16839982C2211yescharacteristic, complemented
129#16839981C2211yescharacteristic, complemented
130#16839980C2211yescharacteristic, complemented
131#16839979C2211yescharacteristic, complemented
132#16839978C2211yescharacteristic, complemented
133#16839977C2211yescharacteristic, complemented
134#16839976C2211yescharacteristic, complemented
135#16839975C2211yescharacteristic, complemented
136#16839974C2211yescharacteristic, complemented
137#16839927C2211yescharacteristic, complemented
138#16839926C2211yescharacteristic, complemented
139#16839925C2211yescharacteristic, complemented
140#16839924C2211yescharacteristic, complemented
141#16839923C2211yescharacteristic, complemented
142#16839922C2211yescharacteristic, complemented
143#16839921C2211yescharacteristic, complemented
144#16839915C2211yescharacteristic, complemented
145#16839914C2211yescharacteristic, complemented
146#16839914C2211yescharacteristic, complemented
147#16839913C2211yescharacteristic, complemented
148#16839912C2211yescharacteristic, complemented
149#16839911C2211yescharacteristic, complemented
150#16839911C2211yescharacteristic, complemented
151#16839910C2211yescharacteristic, complemented
152#16839909C2211yescharacteristic, complemented
153#16839908C2211yescharacteristic, complemented
154#16839907C2211yescharacteristic, complemented
155#16839906C2211yescharacteristic, complemented
156#16839905C2211yescharacteristic, complemented
157#16839904C2211yescharacteristic, complemented
158#16839903C2211yescharacteristic, complemented
159#16839902C2211yescharacteristic, complemented
160#16839902C2211yescharacteristic, complemented
161#16839901C2211yescharacteristic, complemented
162#16839900C2211yescharacteristic, complemented
163#16839899C2211yescharacteristic, complemented
164#16839899C2211yescharacteristic, complemented
165#16839853C2211yescharacteristic, complemented
166C4×#11758190C2211yescharacteristic, complemented
167SD16×Dic61C2211yescharacteristic, complemented
168C4×#11758201C2211yescharacteristic, complemented
169#16839849C2211yescharacteristic, complemented
170C4×#11758200C2211yescharacteristic, complemented
171#16839847C2211yescharacteristic, complemented
172#16839841C2211yescharacteristic, complemented
173#16839840C2211yescharacteristic, complemented
174#16839839C2211yescharacteristic, complemented
175#16839838C2211yescharacteristic, complemented
176#16839838C2211yescharacteristic, complemented
177#16839837C2211yescharacteristic, complemented
178#16839837C2211yescharacteristic, complemented
179#106×D61C2211yescharacteristic, complemented
180C4⋊C8×D61C2211yescharacteristic, complemented
181#103×D61C2211yescharacteristic, complemented
182#103×D61C2211yescharacteristic, complemented
183#103×D61C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic
185#102×D61C2211yescharacteristic
186#102×D61C2211yescharacteristic, complemented
187C22⋊C8×D61C2211yescharacteristic
188C22⋊C8×D61C2211yescharacteristic, complemented
189C4×C8×D61C2211yescharacteristic, complemented
190C2×#137×C61C2211yescharacteristic, complemented
191C2×AGL(1,ℤ/8)×C61C2211yescharacteristic, complemented
192C61×#548C2211yescharacteristic, complemented
193C61×#546C2211yescharacteristic, complemented
194C61×#495C2211yescharacteristic, complemented
195C61×#470C2211yescharacteristic, complemented
196C61×#469C2211yescharacteristic, complemented
197C61×#464C2211yescharacteristic, complemented
198C61×#463C2211yescharacteristic, complemented
199C61×#452C2211yescharacteristic, complemented
200C61×#450C2211yescharacteristic, complemented
201C61×#449C2211yescharacteristic, complemented
202C61×#448C2211yescharacteristic, complemented
203C4×SD16×C61C2211yescharacteristic, complemented
204C61×#436C2211yescharacteristic, complemented
205C24×D61—21no—
206C2×#11758226C2311yescharacteristic
207C2×#11758226C2311yescharacteristic
208C2×#11758222—21no—
209C2×#11758222—21no—
210C2×#11758222C2311yescharacteristic
211C2×#11758222C2311yescharacteristic
212C2×#11758224—21no—
213C2×#11758224—21no—
214C2×#11758224C2311yescharacteristic
215C2×#11758224C2311yescharacteristic
216#41×D61—24no—
217#41×D61—24no—
218#41×D61—42no—
219#41×D61—42no—
220C22×Dic122—21no—
221C22×Dic122C2311yescharacteristic, complemented
222C2×Q8×D61—21no—
223C2×Q8×D61—21no—
224C2×Q8×D61—24no—
225C2×Q8×D61—42no—
226C2×Q8×D61C2311yescharacteristic
227C2×Q8×D61C2311yescharacteristic
228C2×Q8×D61C2311yescharacteristic
229C2×Q8×D61C2311yescharacteristic, complemented
230C2×Q8×D61C2311yescharacteristic, complemented
231C22×D244C2311yescharacteristic
232C22×C22⋊D61—21no—
233C2×D4×D61—24no—
234C2×D4×D61—21no—
235C2×D4×D61—21no—
236C2×D4×D61—21no—
237C2×D4×D61—21no—
238C2×D4×D61—21no—
239C2×D4×D61—21no—
240C2×D4×D61—42no—
241C2×D4×D61D411yescharacteristic
242C2×D4×D61C2311yescharacteristic
243C2×D4×D61C2311yescharacteristic
244C2×D4×D61C2311yescharacteristic
245C2×D4×D61C2311yescharacteristic
246C2×D4×D61C2311yescharacteristic
247C22×C4×D61—21no—
248C22×C4×D61—21no—
249C22×C4×D61—21no—
250C22×C4×D61—21no—
251C22×C4×D61C2311yescharacteristic
252C22×C4×D61C2311yescharacteristic
253#14519810—24no—
254#14519809—24no—
255#14519809—24no—
256#14519808—24no—
257#14519807—24no—
258#14519806—24no—
259#14519806—24no—
260#14519805—24no—
261#14519804—24no—
262#14519804—24no—
263#14519803—24no—
264#14519802—24no—
265#14519801—24no—
266#14519801—24no—
267C2×Dic244C2311yescharacteristic, complemented
268C2×Dic244C2311yescharacteristic, complemented
269C2×#11758202C2311yescharacteristic, complemented
270C2×#11758202C2311yescharacteristic, complemented
271C2×#11758202C2311yescharacteristic, complemented
272C2×#11758202C2311yescharacteristic, complemented
273Q16×D61—24no—
274Q16×D61—24no—
275C2×#11758190C2311yescharacteristic
276C2×#11758190C2311yescharacteristic
277C2×#11758190C2311yescharacteristic
278C2×#11758190C2311yescharacteristic
279C2×#11758190C2311yescharacteristic, complemented
280C2×#11758200C2311yescharacteristic
281C2×#11758200C2311yescharacteristic
282C2×#11758200C2311yescharacteristic
283C2×#11758200C2311yescharacteristic
284C2×#11758200C2311yescharacteristic, complemented
285C2×#11758201C2311yescharacteristic
286C2×#11758201C2311yescharacteristic
287C2×#11758201C2311yescharacteristic
288C2×#11758201C2311yescharacteristic
289C2×#11758201C2311yescharacteristic, complemented
290SD16×D61—24no—
291SD16×D61—24no—
292SD16×D61—42no—
293SD16×D61—42no—
294SD16×D61D418yescomplemented
295C2×D488C2311yescharacteristic
296C2×D488C2311yescharacteristic
297C2×#11758199C2311yescharacteristic
298C2×#11758199C2311yescharacteristic
299C2×#11758199C2311yescharacteristic
300C2×#11758199C2311yescharacteristic
301D8×D61—24no—
302D8×D61—24no—
303C2×#11758194C2311yescharacteristic
304C2×#11758194C2311yescharacteristic, complemented
305C2×#11758189C2311yescharacteristic
306C2×#11758189C2311yescharacteristic
307C2×#11758189C2311yescharacteristic, complemented
308C2×#11758189C2311yescharacteristic, complemented
309M16×D61—24no—
310M16×D61—24no—
311C2×C8×D61C2311yescharacteristic
312C2×C8×D61C2311yescharacteristic
313C2×C8×D61C2311yescharacteristic
314C2×C8×D61C2311yescharacteristic
315#14519766—21no—
316#14519766C2311yescharacteristic
317#14519766C2311yescharacteristic, complemented
318#14519765—21no—
319#14519765C2311yescharacteristic
320#14519765C2311yescharacteristic, complemented
321#14519764—21no—
322#14519764C2311yescharacteristic
323#14519764C2311yescharacteristic, complemented
324#14519763—21no—
325#14519763—21no—
326#14519763—21no—
327#14519763—21no—
328#14519763—21no—
329#14519763—21no—
330#14519763—21no—
331#14519763—21no—
332#14519762—21no—
333#14519762—21no—
334#14519761—21no—
335#14519760—21no—
336#14519759—21no—
337#14519759—21no—
338#14519758—21no—
339#14519757—21no—
340#14519757C2311yescharacteristic
341#14519757C2311yescharacteristic
342#14519756—21no—
343#14519756C2311yescharacteristic
344#14519756C2311yescharacteristic
345#14519755—21no—
346#14519755—21no—
347#14519755—21no—
348#14519755—21no—
349#14519754—21no—
350#14519754—21no—
351#14519754—21no—
352#14519754—21no—
353#14519753—21no—
354#14519753C2311yescharacteristic
355#14519753C2311yescharacteristic
356#14519752—21no—
357#14519752—21no—
358#14519752C2311yescharacteristic
359#14519752C2311yescharacteristic, complemented
360#14519751—21no—
361#14519751—21no—
362#14519751C2311yescharacteristic
363#14519751C2311yescharacteristic, complemented
364#14519750—21no—
365#14519750—21no—
366#14519750—21no—
367#14519750—21no—
368#14519750—21no—
369#14519750—21no—
370#14519749—21no—
371#14519749—21no—
372#14519749—21no—
373#14519749—21no—
374#14519749—21no—
375#14519749—21no—
376#14519748—21no—
377#14519748—21no—
378#14519748C2311yescharacteristic
379#14519748C2311yescharacteristic, complemented
380#14519747—21no—
381#14519747—21no—
382#14519747—21no—
383#14519746—21no—
384#14519745—21no—
385#14519745—21no—
386#14519745—21no—
387Q8×Dic61C2311yescharacteristic, complemented
388C4×Dic122—21no—
389C4×Dic122C2311yescharacteristic, complemented
390#14519742—21no—
391#14519742C2311yescharacteristic, complemented
392C4×D244—21no—
393C4×D244C2311yescharacteristic
394C4×D244C2311yescharacteristic
395D4×Dic61—21no—
396D4×Dic61D411yescharacteristic
397D4×Dic61C2311yescharacteristic
398#14519739—21no—
399#14519739D411yescharacteristic
400#14519739C2311yescharacteristic
401C4×C22⋊D61—21no—
402C4×C22⋊D61—21no—
403C4×C22⋊D61—21no—
404C4×C22⋊D61C2311yescharacteristic
405C4×C22⋊D61C2311yescharacteristic
406#14519737—21no—
407#14519737—21no—
408#14519737—21no—
409#14519737D411yescharacteristic
410#14519737D411yescharacteristic
411C4⋊C4×D61—21no—
412C4⋊C4×D61—21no—
413C4⋊C4×D61—21no—
414C4⋊C4×D61D411yescharacteristic
415C4⋊C4×D61C2311yescharacteristic
416C4⋊C4×D61C2311yescharacteristic
417C2×C22⋊Dic61—21no—
418C2×#11758198—21no—
419C2×#11758198—21no—
420C22⋊C4×D61—21no—
421C22⋊C4×D61—21no—
422C22⋊C4×D61—21no—
423C22⋊C4×D61—21no—
424C22⋊C4×D61—21no—
425C22⋊C4×D61—21no—
426C22⋊C4×D61—21no—
427C22⋊C4×D61—21no—
428C22⋊C4×D61—21no—
429C22⋊C4×D61—21no—
430C22⋊C4×D61—21no—
431C22⋊C4×D61—21no—
432C22⋊C4×D61—21no—
433C22⋊C4×D61D411yescharacteristic
434C22⋊C4×D61D411yescharacteristic
435C42×D61—21no—
436C42×D61C2311yescharacteristic
437#14519709C2311yescharacteristic, complemented
438#14519708C2311yescharacteristic, complemented
439#14519708C2311yescharacteristic, complemented
440C4⋊#92418C2311yescharacteristic, complemented
441#14519706C2311yescharacteristic, complemented
442#14519706C2311yescharacteristic, complemented
443#14519702C2311yescharacteristic, complemented
444#14519702C2311yescharacteristic, complemented
445#14519702C2311yescharacteristic, complemented
446#14519701C2311yescharacteristic, complemented
447#14519701C2311yescharacteristic, complemented
448#14519701C2311yescharacteristic, complemented
449#14519700C2311yescharacteristic, complemented
450#14519700C2311yescharacteristic, complemented
451#14519700C2311yescharacteristic, complemented
452#14519699C2311yescharacteristic
453#14519699C2311yescharacteristic
454#14519699C2311yescharacteristic, complemented
455#14519698C2311yescharacteristic
456#14519698C2311yescharacteristic
457#14519698C2311yescharacteristic, complemented
458#14519697C2311yescharacteristic
459#14519697C2311yescharacteristic
460#14519697C2311yescharacteristic, complemented
461C22⋊#92418C2311yescharacteristic
462C22⋊#92418C2311yescharacteristic, complemented
463#14519689C2311yescharacteristic
464#14519689C2311yescharacteristic
465#14519689C2311yescharacteristic, complemented
466#14519689C2311yescharacteristic, complemented
467C4×#92418C2311yescharacteristic, complemented
468C8×Dic61C2311yescharacteristic, complemented
469C8×Dic61C2311yescharacteristic, complemented
470C2×#41×C61C2311yescharacteristic
471C2×#41×C61C2311yescharacteristic
472C22×Q8×C61C2311yescharacteristic, complemented
473C22×D4×C61C2311yescharacteristic
474#137×C61—24no—
475AGL(1,ℤ/8)×C61—24no—
476C2×Q16×C61C2311yescharacteristic, complemented
477C2×Q16×C61C2311yescharacteristic, complemented
478C2×SD16×C61C2311yescharacteristic
479C2×SD16×C61C2311yescharacteristic
480C2×SD16×C61C2311yescharacteristic
481C2×SD16×C61C2311yescharacteristic
482C2×SD16×C61C2311yescharacteristic, complemented
483C2×D8×C61C2311yescharacteristic
484C2×D8×C61C2311yescharacteristic
485C2×M16×C61C2311yescharacteristic
486C2×M16×C61C2311yescharacteristic, complemented
487#124×C61—21no—
488#124×C61C2311yescharacteristic
489#124×C61C2311yescharacteristic, complemented
490#123×C61—21no—
491C22⋊Q8×C61—21no—
492C22⋊Q8×C61C2311yescharacteristic
493C22⋊Q8×C61C2311yescharacteristic
494#121×C61—21no—
495#121×C61—21no—
496#121×C61C2311yescharacteristic
497#121×C61C2311yescharacteristic, complemented
498#120×C61—21no—
499C4×Q8×C61C2311yescharacteristic, complemented
500C4×D4×C61—21no—
501C4×D4×C61C2311yescharacteristic
502C4×D4×C61C2311yescharacteristic
503C2×C22⋊C4×C61—21no—
504#106×C61C2311yescharacteristic, complemented
505C4⋊C8×C61C2311yescharacteristic, complemented
506#103×C61C2311yescharacteristic, complemented
507#103×C61C2311yescharacteristic, complemented
508#103×C61C2311yescharacteristic, complemented
509#102×C61C2311yescharacteristic
510#102×C61C2311yescharacteristic
511#102×C61C2311yescharacteristic, complemented
512C22⋊C8×C61C2311yescharacteristic
513C22⋊C8×C61C2311yescharacteristic, complemented
514C4×C8×C61C2311yescharacteristic, complemented
515C24×C61—21no—
516C23×D61—21no—
517C23×D61—21no—
518C23×D61—21no—
519C23×D61—21no—
520C23×D61—21no—
521C23×D61—21no—
522C23×D61—44no—
523C23×D61—44no—
524C23×D61—82no—
525C23×D61C2×D411yescharacteristic
526C23×D61C2×D411yescharacteristic
527#41×C61—22no—
528#41×C61—22no—
529#41×C61—41no—
530#41×C61—41no—
531C2×Q8×C61—21no—
532C2×Q8×C61—22no—
533C2×Q8×C61—41no—
534C2×Q8×C61C2411yescharacteristic
535C2×Q8×C61C2411yescharacteristic
536C2×Q8×C61C2411yescharacteristic
537C2×D4×C61—22no—
538C2×D4×C61—21no—
539C2×D4×C61—21no—
540C2×D4×C61—21no—
541C2×D4×C61—21no—
542C2×D4×C61—21no—
543C2×D4×C61—41no—
544C2×D4×C61C2×D411yescharacteristic
545C2×D4×C61C2411yescharacteristic
546C2×D4×C61C2411yescharacteristic
547C2×D4×C61C2411yescharacteristic
548C22×C4×C61—21no—
549C22×C4×C61—21no—
550C22×C4×C61—21no—
551C22×C4×C61—21no—
552C22×C4×C61C2411yescharacteristic
553C22×C4×C61C2411yescharacteristic
554C2×C22⋊D61—21no—
555C2×C22⋊D61—21no—
556C2×C22⋊D61—21no—
557C2×C22⋊D61—21no—
558C2×C22⋊D61—21no—
559C2×C22⋊D61—21no—
560C2×C22⋊D61—21no—
561C2×C22⋊D61—21no—
562C2×C22⋊D61—21no—
563C2×C22⋊D61—21no—
564C2×C22⋊D61—21no—
565C2×C22⋊D61—21no—
566C2×C22⋊D61—21no—
567C2×C22⋊D61—44no—
568C2×C22⋊D61C2×D411yescharacteristic
569C2×C22⋊D61C2×D411yescharacteristic
570C22×Dic61—21no—
571C22×Dic61—21no—
572C22×Dic61—21no—
573C22×Dic61—21no—
574C22×Dic61C2×D411yescharacteristic
575C22×Dic61C2×D411yescharacteristic
576#11758226—22no—
577#11758226—22no—
578#11758226—41no—
579#11758226—41no—
580Q8×D61—22no—
581Q8×D61—22no—
582Q8×D61—22no—
583Q8×D61—22no—
584Q8×D61—22no—
585Q8×D61—22no—
586Q8×D61—22no—
587Q8×D61—41no—
588Q8×D61—41no—
589Q8×D61—44no—
590Q8×D61—44no—
591Q8×D61C2×D414yes—
592#11758224—22no—
593#11758224—22no—
594#11758224—41no—
595#11758224—41no—
596#11758224—44no—
597#11758224—44no—
598D4×D61—22no—
599D4×D61—22no—
600D4×D61—22no—
601D4×D61—22no—
602D4×D61—22no—
603D4×D61—22no—
604D4×D61—22no—
605D4×D61—41no—
606D4×D61—41no—
607D4×D61—44no—
608D4×D61—42no—
609D4×D61—44no—
610D4×D61—44no—
611D4×D61—44no—
612D4×D61—44no—
613D4×D61—82no—
614D4×D61C2×D414yes—
615#11758222—22no—
616#11758222—22no—
617#11758222—44no—
618#11758222—41no—
619#11758222—41no—
620#11758222—44no—
621C2×D244—22no—
622C2×D244—21no—
623C2×D244—21no—
624C2×D244—21no—
625C2×D244—21no—
626C2×D244—21no—
627C2×D244—41no—
628C2×D244C2×D411yescharacteristic
629C2×D244C2411yescharacteristic
630C2×D244C2411yescharacteristic
631C2×D244C2411yescharacteristic
632C2×C4×D61—21no—
633C2×C4×D61—22no—
634C2×C4×D61—22no—
635C2×C4×D61—22no—
636C2×C4×D61—22no—
637C2×C4×D61—21no—
638C2×C4×D61—21no—
639C2×C4×D61—21no—
640C2×C4×D61—21no—
641C2×C4×D61—21no—
642C2×C4×D61—21no—
643C2×C4×D61—21no—
644C2×C4×D61—21no—
645C2×C4×D61—21no—
646C2×C4×D61—21no—
647C2×C4×D61—21no—
648C2×C4×D61—21no—
649C2×C4×D61—44no—
650C2×C4×D61—44no—
651C2×C4×D61—44no—
652C2×C4×D61—82no—
653C2×C4×D61C2×D411yescharacteristic
654C2×C4×D61C2×D411yescharacteristic
655C2×C4×D61C2×D411yescharacteristic
656C2×C4×D61C2×D411yescharacteristic
657C2×C4×D61C2×D411yescharacteristic
658C2×C4×D61C2×D411yescharacteristic
659C2×C4×D61C2411yescharacteristic
660C2×C4×D61C2411yescharacteristic
661C2×C4×D61C2411yescharacteristic
662C2×Dic122—21no—
663C2×Dic122—22no—
664C2×Dic122—21no—
665C2×Dic122—21no—
666C2×Dic122—21no—
667C2×Dic122—21no—
668C2×Dic122—21no—
669C2×Dic122—41no—
670C2×Dic122—44no—
671C2×Dic122C2411yescharacteristic
672C2×Dic122C2411yescharacteristic
673C2×Dic122C2411yescharacteristic
674Q16×C61—22no—
675Q16×C61—22no—
676SD16×C61—22no—
677SD16×C61—22no—
678SD16×C61—41no—
679SD16×C61—41no—
680SD16×C61C2×D414yescomplemented
681D8×C61—22no—
682D8×C61—22no—
683M16×C61—22no—
684M16×C61—22no—
685C2×C8×C61C2411yescharacteristic
686C2×C8×C61C2411yescharacteristic
687C2×C8×C61C2411yescharacteristic
688C2×C8×C61C2411yescharacteristic
689C4⋊C4×C61—21no—
690C4⋊C4×C61—21no—
691C4⋊C4×C61—21no—
692C4⋊C4×C61C2×D411yescharacteristic
693C4⋊C4×C61C2411yescharacteristic
694C4⋊C4×C61C2411yescharacteristic
695C22⋊C4×C61—21no—
696C22⋊C4×C61—21no—
697C22⋊C4×C61—21no—
698C22⋊C4×C61—21no—
699C22⋊C4×C61—21no—
700C22⋊C4×C61—21no—
701C22⋊C4×C61—21no—
702C22⋊C4×C61—21no—
703C22⋊C4×C61—21no—
704C22⋊C4×C61C2×D411yescharacteristic
705C22⋊C4×C61C2×D411yescharacteristic
706C42×C61—21no—
707C42×C61C2411yescharacteristic
708C22⋊Dic61—21no—
709C22⋊Dic61—21no—
710C22⋊Dic61—21no—
711C22⋊Dic61—21no—
712C22⋊Dic61—21no—
713C22⋊Dic61—21no—
714C22⋊Dic61—21no—
715C22⋊Dic61—21no—
716C22⋊Dic61—21no—
717C22⋊Dic61C2×D411yescharacteristic
718C22⋊Dic61C2×D411yescharacteristic
719#11758202—22no—
720#11758202—22no—
721#11758202—22no—
722#11758202—22no—
723#11758201—22no—
724#11758201—22no—
725#11758201—41no—
726#11758201—41no—
727#11758201C2×D414yescomplemented
728#11758200—22no—
729#11758200—22no—
730#11758200—41no—
731#11758200—41no—
732#11758200C2×D414yescomplemented
733#11758199—22no—
734#11758199—22no—
735#11758199—22no—
736#11758199—22no—
737#11758198—21no—
738#11758198—21no—
739#11758198—21no—
740#11758198—21no—
741#11758198—21no—
742#11758198—21no—
743#11758198—21no—
744#11758198—21no—
745#11758198—21no—
746#11758198—21no—
747#11758198—21no—
748#11758198—21no—
749#11758198—21no—
750#11758198—21no—
751#11758198—21no—
752#11758198—21no—
753#11758198—21no—
754#11758198—21no—
755#11758198C2×D411yescharacteristic
756#11758198C2×D411yescharacteristic
757#11758198C2×D411yescharacteristic
758#11758198C2×D411yescharacteristic
759C4⋊Dic61—21no—
760C4⋊Dic61—21no—
761C4⋊Dic61—21no—
762C4⋊Dic61C2×D411yescharacteristic
763C4⋊Dic61C2411yescharacteristic
764C4⋊Dic61C2411yescharacteristic
765#11758196—21no—
766#11758196—21no—
767#11758196—21no—
768#11758196—21no—
769#11758196—21no—
770#11758196—21no—
771#11758196—21no—
772#11758196—21no—
773#11758196C2×D411yescharacteristic
774#11758196C2×D411yescharacteristic
775C4×Dic61—21no—
776C4×Dic61—21no—
777C4×Dic61—21no—
778C4×Dic61C2×D411yescharacteristic
779C4×Dic61C2×D411yescharacteristic
780C4×Dic61C2411yescharacteristic
781#11758194—22no—
782#11758194—22no—
783C2×#92418C2411yescharacteristic
784C2×#92418C2411yescharacteristic
785C2×#92418C2411yescharacteristic
786C2×#92418C2411yescharacteristic
787Dic244—22no—
788Dic244—22no—
789D488—22no—
790D488—22no—
791#11758190—22no—
792#11758190—22no—
793#11758190—41no—
794#11758190—41no—
795#11758190C2×D414yescomplemented
796#11758189—22no—
797#11758189—22no—
798#11758189—22no—
799#11758189—22no—
800C8×D61—22no—
801C8×D61—22no—
802C8×D61—22no—
803C8×D61C2×D414yes—
804C23×C61—21no—
805C23×C61—21no—
806C23×C61—21no—
807C23×C61—42no—
808C23×C61—42no—
809C23×C61—81no—
810C23×C61C22×D411yescharacteristic
811C23×C61C22×D411yescharacteristic
812C22×D61—21no—
813C22×D61—22no—
814C22×D61—22no—
815C22×D61—24no—
816C22×D61—22no—
817C22×D61—22no—
818C22×D61—22no—
819C22×D61—22no—
820C22×D61—21no—
821C22×D61—21no—
822C22×D61—42no—
823C22×D61—42no—
824C22×D61—42no—
825C22×D61—42no—
826C22×D61—42no—
827C22×D61—42no—
828C22×D61—42no—
829C22×D61—42no—
830C22×D61—42no—
831C22×D61—42no—
832C22×D61—42no—
833C22×D61—42no—
834C22×D61—42no—
835C22×D61—42no—
836C22×D61—81no—
837C22×D61—81no—
838C22×D61—81no—
839C22×D61—816no—
840C22×D61C22×D411yescharacteristic
841C22×D61C22×D411yescharacteristic
842C22×D61C22×D411yescharacteristic
843Q8×C61—21no—
844Q8×C61—21no—
845Q8×C61—21no—
846Q8×C61—21no—
847Q8×C61—21no—
848Q8×C61—42no—
849Q8×C61C22×D412yes—
850D4×C61—21no—
851D4×C61—21no—
852D4×C61—21no—
853D4×C61—21no—
854D4×C61—21no—
855D4×C61—41no—
856D4×C61—42no—
857D4×C61—42no—
858D4×C61—42no—
859D4×C61—42no—
860D4×C61—81no—
861D4×C61C22×D412yes—
862C2×C4×C61—21no—
863C2×C4×C61—21no—
864C2×C4×C61—21no—
865C2×C4×C61—21no—
866C2×C4×C61—21no—
867C2×C4×C61—21no—
868C2×C4×C61—21no—
869C2×C4×C61—21no—
870C2×C4×C61—21no—
871C2×C4×C61—42no—
872C2×C4×C61—42no—
873C2×C4×C61—42no—
874C2×C4×C61—81no—
875C2×C4×C61C22×D411yescharacteristic
876C2×C4×C61C22×D411yescharacteristic
877C2×C4×C61C22×D411yescharacteristic
878C2×C4×C61C22×D411yescharacteristic
879C2×C4×C61C2511yescharacteristic
880C22⋊D61—24no—
881C22⋊D61—41no—
882C22⋊D61—41no—
883C22⋊D61—42no—
884C22⋊D61—42no—
885C22⋊D61—42no—
886C22⋊D61—42no—
887C22⋊D61—42no—
888C22⋊D61—42no—
889C22⋊D61—42no—
890C22⋊D61—42no—
891C22⋊D61—42no—
892C22⋊D61—42no—
893C22⋊D61—81no—
894C22⋊D61—81no—
895C2×Dic61—21no—
896C2×Dic61—22no—
897C2×Dic61—22no—
898C2×Dic61—21no—
899C2×Dic61—21no—
900C2×Dic61—21no—
901C2×Dic61—21no—
902C2×Dic61—42no—
903C2×Dic61—42no—
904C2×Dic61—42no—
905C2×Dic61—81no—
906C2×Dic61C22×D411yescharacteristic
907C2×Dic61C22×D411yescharacteristic
908C2×Dic61C22×D411yescharacteristic
909C2×Dic61C22×D411yescharacteristic
910C2×Dic61C22×D411yescharacteristic
911D244—21no—
912D244—21no—
913D244—21no—
914D244—21no—
915D244—21no—
916D244—41no—
917D244—42no—
918D244—42no—
919D244—42no—
920D244—42no—
921D244—81no—
922D244C22×D412yes—
923C4×D61—22no—
924C4×D61—22no—
925C4×D61—24no—
926C4×D61—22no—
927C4×D61—22no—
928C4×D61—21no—
929C4×D61—21no—
930C4×D61—21no—
931C4×D61—21no—
932C4×D61—22no—
933C4×D61—22no—
934C4×D61—42no—
935C4×D61—42no—
936C4×D61—42no—
937C4×D61—42no—
938C4×D61—42no—
939C4×D61—42no—
940C4×D61—42no—
941C4×D61—42no—
942C4×D61—42no—
943C4×D61—42no—
944C4×D61—81no—
945C4×D61—81no—
946C4×D61C22×D412yes—
947C4×D61H(5,𝔽2)12yes—
948Dic122—21no—
949Dic122—24no—
950Dic122—21no—
951Dic122—21no—
952Dic122—21no—
953Dic122—21no—
954Dic122—42no—
955Dic122—42no—
956Dic122—42no—
957Dic122—42no—
958Dic122—42no—
959Dic122C22×D412yes—
960C8×C61—21no—
961C8×C61—21no—
962C8×C61—21no—
963C8×C61C22×D412yes—
964#92418—21no—
965#92418—21no—
966#92418—21no—
967#92418C22×D412yes—
968C2×#3275—611nomaximal, Sylow
969C22×C61—21no—
970C22×C61—21no—
971C22×C61—22no—
972C22×C61—21no—
973C22×C61—21no—
974C22×C61—21no—
975C22×C61—21no—
976C22×C61—41no—
977C22×C61—41no—
978C22×C61—41no—
979C22×C61—41no—
980C22×C61—41no—
981C22×C61—41no—
982C22×C61—41no—
983C22×C61—41no—
984C22×C61—84no—
985C22×C61C23×D411yescharacteristic
986C2×D61—21no—
987C2×D61—21no—
988C2×D61—22no—
989C2×D61—21no—
990C2×D61—21no—
991C2×D61—21no—
992C2×D61—21no—
993C2×D61—41no—
994C2×D61—41no—
995C2×D61—44no—
996C2×D61—44no—
997C2×D61—48no—
998C2×D61—41no—
999C2×D61—41no—
1000C2×D61—41no—
1001C2×D61—41no—
1002C2×D61—41no—
1003C2×D61—41no—
1004C2×D61—84no—
1005C2×D61—84no—
1006C2×D61—84no—
1007C2×D61—84no—
1008C2×D61—84no—
1009C2×D61D4212yes—
1010C2×D61#57512yes—
1011C2×D61#57712yes—
1012C4×C61—22no—
1013C4×C61—21no—
1014C4×C61—21no—
1015C4×C61—21no—
1016C4×C61—21no—
1017C4×C61—41no—
1018C4×C61—41no—
1019C4×C61—41no—
1020C4×C61—41no—
1021C4×C61C23×D411yescharacteristic
1022C4×C61C2×H(5,𝔽2)11yescharacteristic
1023Dic61—22no—
1024Dic61—21no—
1025Dic61—21no—
1026Dic61—21no—
1027Dic61—21no—
1028Dic61—41no—
1029Dic61—41no—
1030Dic61—41no—
1031Dic61—41no—
1032Dic61D4212yes—
1033C22×#137—611no—
1034C22×AGL(1,ℤ/8)—611no—
1035C2×#548—611no—
1036C2×#546—611no—
1037#3275—611no—
1038#3275—611no—
1039#3275—611no—
1040#3275—611no—
1041#3275—611no—
1042#3275—611no—
1043#3275—611no—
1044#3275—611no—
1045#3275—611no—
1046#3275—611no—
1047#3275—611no—
1048#3275—611no—
1049#3275—611no—
1050#3275—611no—
1051#3275—611no—
1052#3275D6111yescharacteristic, direct product factor
1053C2×#495—611no—
1054C2×#470—611no—
1055C2×#469—611no—
1056C2×#464—611no—
1057C2×#463—611no—
1058C2×#452—611no—
1059C2×#449—611no—
1060C2×#448—611no—
1061C2×#450—611no—
1062C2×C4×SD16—611no—
1063C2×#436—611no—
1064C2×C61—41no—
1065C2×C61—42no—
1066C2×C61—41no—
1067C2×C61—81no—
1068C2×C61—81no—
1069C2×C61C2×D4211yescharacteristic
1070C2×C61C2×#57511yescharacteristic
1071C2×C61C2×#57711yescharacteristic
1072D61—41no—
1073D61—41no—
1074D61—42no—
1075D61—81no—
1076D61—81no—
1077D61#327514yesdirect product factor
1078C22×#41—611no—
1079C22×#41—611no—
1080C23×Q8—611no—
1081C23×D4—611no—
1082C2×#137—611no—
1083C2×#137—611no—
1084C2×#137—611no—
1085C2×#137—611no—
1086C2×#137—611no—
1087C2×#137—611no—
1088C2×#137—611no—
1089C2×#137—1228no—
1090C2×#137C2×D6111yescharacteristic, complemented
1091C2×AGL(1,ℤ/8)—611no—
1092C2×AGL(1,ℤ/8)—611no—
1093C2×AGL(1,ℤ/8)—611no—
1094C2×AGL(1,ℤ/8)—611no—
1095C2×AGL(1,ℤ/8)—611no—
1096C2×AGL(1,ℤ/8)—611no—
1097C2×AGL(1,ℤ/8)—611no—
1098C2×AGL(1,ℤ/8)—1228no—
1099C2×AGL(1,ℤ/8)C2×D6111yescharacteristic, complemented
1100C22×Q16—611no—
1101C22×Q16—611no—
1102C22×SD16—611no—
1103C22×SD16—611no—
1104C22×SD16—611no—
1105C22×SD16—611no—
1106C22×SD16—611no—
1107C22×D8—611no—
1108C22×D8—611no—
1109C22×M16—611no—
1110C22×M16—611no—
1111#548—611no—
1112#548—611no—
1113#548—611no—
1114#548—611no—
1115#548—611no—
1116#548—611no—
1117#548—611no—
1118#548—1221no—
1119#548—1221no—
1120#548—1221no—
1121#548—1221no—
1122#548C2×D6111yescharacteristic, complemented
1123#546—611no—
1124#546—611no—
1125#546—611no—
1126#546—611no—
1127#546—611no—
1128#546—611no—
1129#546—611no—
1130#546—1221no—
1131#546—1221no—
1132#546—1221no—
1133#546—1221no—
1134#546C2×D6111yescharacteristic, complemented
1135C2×#124—611no—
1136C2×#124—611no—
1137C2×#124—1221no—
1138C2×#123—1221no—
1139C2×C22⋊Q8—611no—
1140C2×C22⋊Q8—611no—
1141C2×C22⋊Q8—1221no—
1142C2×#121—611no—
1143C2×#121—611no—
1144C2×#121—1221no—
1145C2×#121—1221no—
1146C2×#120—1221no—
1147C2×C4×Q8—611no—
1148C2×C4×D4—611no—
1149C2×C4×D4—611no—
1150C2×C4×D4—1221no—
1151C22×C22⋊C4—1221no—
1152#495—611no—
1153#495—611no—
1154#495—611no—
1155#495—611no—
1156#495—611no—
1157#495—611no—
1158#495—611no—
1159#495C2×D6111yescharacteristic, complemented
1160#470—611no—
1161#470—611no—
1162#470—611no—
1163#470—611no—
1164#470—611no—
1165#470—611no—
1166#470—611no—
1167#470C2×D6111yescharacteristic, complemented
1168#469—611no—
1169#469—611no—
1170#469—611no—
1171#469—611no—
1172#469—611no—
1173#469—611no—
1174#469—611no—
1175#469C2×D6111yescharacteristic, complemented
1176#464—611no—
1177#464—611no—
1178#464—611no—
1179#464—611no—
1180#464—611no—
1181#464—611no—
1182#464—611no—
1183#464C2×D6111yescharacteristic, complemented
1184#463—611no—
1185#463—611no—
1186#463—611no—
1187#463—611no—
1188#463—611no—
1189#463—611no—
1190#463—611no—
1191#463C2×D6111yescharacteristic, complemented
1192#452—611no—
1193#452—611no—
1194#452—611no—
1195#452—611no—
1196#452—611no—
1197#452—611no—
1198#452—611no—
1199#452C2×D6111yescharacteristic, complemented
1200#450—611no—
1201#450—611no—
1202#450—611no—
1203#450—611no—
1204#450—611no—
1205#450—611no—
1206#450—611no—
1207#450C2×D6111yescharacteristic, complemented
1208#449—611no—
1209#449—611no—
1210#449—611no—
1211#449—611no—
1212#449—611no—
1213#449—611no—
1214#449—611no—
1215#449C2×D6111yescharacteristic, complemented
1216#448—611no—
1217#448—611no—
1218#448—611no—
1219#448—611no—
1220#448—611no—
1221#448—611no—
1222#448—611no—
1223#448C2×D6111yescharacteristic, complemented
1224C4×SD16—611no—
1225C4×SD16—611no—
1226C4×SD16—611no—
1227C4×SD16—611no—
1228C4×SD16—611no—
1229C4×SD16—611no—
1230C4×SD16—611no—
1231C4×SD16C2×D6111yescharacteristic, complemented
1232#436—611no—
1233#436—611no—
1234#436—611no—
1235#436—611no—
1236#436—611no—
1237#436—611no—
1238#436—611no—
1239#436C2×D6111yescharacteristic, complemented
1240C2×#106—611no—
1241C2×C4⋊C8—611no—
1242C2×#103—611no—
1243C2×#103—611no—
1244C2×#103—611no—
1245C2×#102—611no—
1246C2×#102—611no—
1247C2×#102—611no—
1248C2×C22⋊C8—611no—
1249C2×C22⋊C8—611no—
1250C2×C4×C8—611no—
1251C61C2×#327511yescharacteristic, complemented, Sylow
1252C25—1221no—
1253C2×#41—611no—
1254C2×#41—611no—
1255C2×#41—611no—
1256C2×#41—611no—
1257C2×#41—611no—
1258C2×#41—611no—
1259C2×#41—1221no—
1260C2×#41—1221no—
1261C2×#41—1221no—
1262C2×#41—1221no—
1263C2×#41—1224no—
1264C2×#41—1224no—
1265C2×#41—2442no—
1266C2×#41—2442no—
1267C2×#41C22×D6111yescharacteristic
1268C2×#41C22×D6111yescharacteristic
1269C22×Q8—611no—
1270C22×Q8—611no—
1271C22×Q8—611no—
1272C22×Q8—611no—
1273C22×Q8—611no—
1274C22×Q8—611no—
1275C22×Q8—1221no—
1276C22×Q8—1221no—
1277C22×Q8—1221no—
1278C22×Q8—1224no—
1279C22×Q8—2442no—
1280C22×Q8C22×D6111yescharacteristic, complemented
1281C22×D4—611no—
1282C22×D4—611no—
1283C22×D4—611no—
1284C22×D4—611no—
1285C22×D4—611no—
1286C22×D4—611no—
1287C22×D4—611no—
1288C22×D4—1221no—
1289C22×D4—1221no—
1290C22×D4—1221no—
1291C22×D4—1224no—
1292C22×D4—1221no—
1293C22×D4—1221no—
1294C22×D4—1221no—
1295C22×D4—1221no—
1296C22×D4—2442no—
1297C22×D4C22×D6111yescharacteristic
1298C23×C4—611no—
1299C23×C4—611no—
1300C23×C4—1221no—
1301C23×C4—1221no—
1302C23×C4—1221no—
1303C23×C4—1221no—
1304#137—24no—
1305#137—1224no—
1306#137—1224no—
1307#137—1224no—
1308#137—1224no—
1309#137—1224no—
1310#137—1224no—
1311#137—1224no—
1312AGL(1,ℤ/8)—24no—
1313AGL(1,ℤ/8)—1224no—
1314AGL(1,ℤ/8)—1224no—
1315AGL(1,ℤ/8)—1224no—
1316AGL(1,ℤ/8)—1224no—
1317AGL(1,ℤ/8)—1224no—
1318AGL(1,ℤ/8)—1224no—
1319AGL(1,ℤ/8)—1224no—
1320C2×Q16—611no—
1321C2×Q16—611no—
1322C2×Q16—611no—
1323C2×Q16—611no—
1324C2×Q16—611no—
1325C2×Q16—611no—
1326C2×Q16—1224no—
1327C2×Q16—1224no—
1328C2×Q16C22×D6111yescharacteristic, complemented
1329C2×Q16C22×D6111yescharacteristic, complemented
1330C2×SD16—611no—
1331C2×SD16—611no—
1332C2×SD16—618no—
1333C2×SD16—611no—
1334C2×SD16—611no—
1335C2×SD16—611no—
1336C2×SD16—611no—
1337C2×SD16—611no—
1338C2×SD16—611no—
1339C2×SD16—611no—
1340C2×SD16—611no—
1341C2×SD16—611no—
1342C2×SD16—611no—
1343C2×SD16—611no—
1344C2×SD16—611no—
1345C2×SD16—611no—
1346C2×SD16—1224no—
1347C2×SD16—1224no—
1348C2×SD16—2442no—
1349C2×SD16—2442no—
1350C2×SD16C22×D6111yescharacteristic
1351C2×SD16C22×D6111yescharacteristic
1352C2×SD16C22×D6111yescharacteristic
1353C2×SD16C22×D6111yescharacteristic
1354C2×SD16C22×D6111yescharacteristic, complemented
1355C2×D8—611no—
1356C2×D8—611no—
1357C2×D8—611no—
1358C2×D8—611no—
1359C2×D8—611no—
1360C2×D8—611no—
1361C2×D8—1224no—
1362C2×D8—1224no—
1363C2×D8C22×D6111yescharacteristic
1364C2×D8C22×D6111yescharacteristic
1365C2×M16—611no—
1366C2×M16—611no—
1367C2×M16—611no—
1368C2×M16—611no—
1369C2×M16—611no—
1370C2×M16—611no—
1371C2×M16—1224no—
1372C2×M16—1224no—
1373C2×M16C22×D6111yescharacteristic
1374C2×M16C22×D6111yescharacteristic, complemented
1375C22×C8—611no—
1376C22×C8—611no—
1377C22×C8—611no—
1378C22×C8—611no—
1379#124—21no—
1380#124—611no—
1381#124—611no—
1382#124—611no—
1383#124—611no—
1384#124—611no—
1385#124—611no—
1386#124—1221no—
1387#124—1221no—
1388#124—1221no—
1389#124—1221no—
1390#124—1221no—
1391#124—1221no—
1392#124—1221no—
1393#124—1221no—
1394#124—1221no—
1395#124—1221no—
1396#124—1221no—
1397#124C22×D6111yescharacteristic
1398#124C22×D6111yescharacteristic, complemented
1399#123—21no—
1400#123—1221no—
1401#123—1221no—
1402#123—1221no—
1403#123—1221no—
1404#123—1221no—
1405#123—1221no—
1406#123—1221no—
1407C22⋊Q8—21no—
1408C22⋊Q8—611no—
1409C22⋊Q8—611no—
1410C22⋊Q8—611no—
1411C22⋊Q8—611no—
1412C22⋊Q8—611no—
1413C22⋊Q8—611no—
1414C22⋊Q8—1221no—
1415C22⋊Q8—1221no—
1416C22⋊Q8—1221no—
1417C22⋊Q8—1221no—
1418C22⋊Q8—1221no—
1419C22⋊Q8—1221no—
1420C22⋊Q8—1221no—
1421C22⋊Q8—1221no—
1422C22⋊Q8—1221no—
1423C22⋊Q8—1221no—
1424C22⋊Q8—1221no—
1425C22⋊Q8C22×D6111yescharacteristic
1426C22⋊Q8C22×D6111yescharacteristic
1427#121—21no—
1428#121—21no—
1429#121—611no—
1430#121—611no—
1431#121—611no—
1432#121—611no—
1433#121—611no—
1434#121—611no—
1435#121—1221no—
1436#121—1221no—
1437#121—1221no—
1438#121—1221no—
1439#121—1221no—
1440#121—1221no—
1441#121—1221no—
1442#121—1221no—
1443#121—1221no—
1444#121—1221no—
1445#121—1221no—
1446#121—1221no—
1447#121—1221no—
1448#121—1221no—
1449#121—1221no—
1450#121—1221no—
1451#121—1221no—
1452#121—1221no—
1453#121C22×D6111yescharacteristic
1454#121C22×D6111yescharacteristic, complemented
1455#120—21no—
1456#120—1221no—
1457#120—1221no—
1458#120—1221no—
1459#120—1221no—
1460#120—1221no—
1461#120—1221no—
1462#120—1221no—
1463C4×Q8—611no—
1464C4×Q8—611no—
1465C4×Q8—611no—
1466C4×Q8—1221no—
1467C4×Q8—1221no—
1468C4×Q8C22×D6111yescharacteristic, complemented
1469C4×D4—21no—
1470C4×D4—611no—
1471C4×D4—611no—
1472C4×D4—611no—
1473C4×D4—611no—
1474C4×D4—611no—
1475C4×D4—611no—
1476C4×D4—611no—
1477C4×D4—611no—
1478C4×D4—611no—
1479C4×D4—611no—
1480C4×D4—1221no—
1481C4×D4—1221no—
1482C4×D4—1221no—
1483C4×D4—1221no—
1484C4×D4—1221no—
1485C4×D4—1221no—
1486C4×D4—1221no—
1487C4×D4—1221no—
1488C4×D4—1221no—
1489C4×D4C22×D6111yescharacteristic
1490C4×D4C22×D6111yescharacteristic
1491C2×C4⋊C4—611no—
1492C2×C4⋊C4—611no—
1493C2×C4⋊C4—611no—
1494C2×C4⋊C4—1221no—
1495C2×C4⋊C4—1221no—
1496C2×C4⋊C4—1221no—
1497C2×C22⋊C4—21no—
1498C2×C22⋊C4—611no—
1499C2×C22⋊C4—611no—
1500C2×C22⋊C4—1221no—
1501C2×C22⋊C4—1221no—
1502C2×C22⋊C4—1221no—
1503C2×C22⋊C4—1221no—
1504C2×C22⋊C4—1221no—
1505C2×C22⋊C4—1221no—
1506C2×C22⋊C4—1221no—
1507C2×C22⋊C4—1221no—
1508C2×C22⋊C4—1221no—
1509C2×C22⋊C4—1221no—
1510C2×C22⋊C4—1221no—
1511C2×C22⋊C4—1221no—
1512C2×C22⋊C4—1221no—
1513C2×C22⋊C4—1221no—
1514C2×C22⋊C4—1221no—
1515C2×C22⋊C4—1221no—
1516C2×C42—611no—
1517C2×C42—1221no—
1518#106—611no—
1519#106—611no—
1520#106—611no—
1521#106C22×D6111yescharacteristic, complemented
1522C4⋊C8—611no—
1523C4⋊C8—611no—
1524C4⋊C8—611no—
1525C4⋊C8C22×D6111yescharacteristic, complemented
1526#103—611no—
1527#103—611no—
1528#103—611no—
1529#103—611no—
1530#103—611no—
1531#103—611no—
1532#103—611no—
1533#103—611no—
1534#103—611no—
1535#103C22×D6111yescharacteristic, complemented
1536#103C22×D6111yescharacteristic, complemented
1537#103C22×D6111yescharacteristic, complemented
1538#102—611no—
1539#102—611no—
1540#102—611no—
1541#102—611no—
1542#102—611no—
1543#102—611no—
1544#102—611no—
1545#102—611no—
1546#102—611no—
1547#102C22×D6111yescharacteristic
1548#102C22×D6111yescharacteristic
1549#102C22×D6111yescharacteristic, complemented
1550C22⋊C8—611no—
1551C22⋊C8—611no—
1552C22⋊C8—611no—
1553C22⋊C8—611no—
1554C22⋊C8—611no—
1555C22⋊C8—611no—
1556C22⋊C8C22×D6111yescharacteristic
1557C22⋊C8C22×D6111yescharacteristic, complemented
1558C4×C8—611no—
1559C4×C8—611no—
1560C4×C8—611no—
1561C4×C8C22×D6111yescharacteristic, complemented
1562C24—21no—
1563C24—611no—
1564C24—611no—
1565C24—1221no—
1566C24—1221no—
1567C24—1221no—
1568C24—1221no—
1569C24—1221no—
1570C24—1221no—
1571C24—4882no—
1572C24—2444no—
1573C24—2444no—
1574#41—22no—
1575#41—22no—
1576#41—41no—
1577#41—41no—
1578#41—1222no—
1579#41—1222no—
1580#41—1222no—
1581#41—1222no—
1582#41—1222no—
1583#41—1222no—
1584#41—2441no—
1585#41—2441no—
1586#41—2444no—
1587#41—2444no—
1588#41—2441no—
1589#41—2441no—
1590#41—2444no—
1591#41—2444no—
1592#41—2441no—
1593#41—2441no—
1594C2×Q8—21no—
1595C2×Q8—22no—
1596C2×Q8—41no—
1597C2×Q8—614no—
1598C2×Q8—611no—
1599C2×Q8—611no—
1600C2×Q8—611no—
1601C2×Q8—1221no—
1602C2×Q8—1221no—
1603C2×Q8—1221no—
1604C2×Q8—1221no—
1605C2×Q8—1221no—
1606C2×Q8—1222no—
1607C2×Q8—1222no—
1608C2×Q8—1222no—
1609C2×Q8—1222no—
1610C2×Q8—1222no—
1611C2×Q8—1222no—
1612C2×Q8—1221no—
1613C2×Q8—1222no—
1614C2×Q8—1222no—
1615C2×Q8—2441no—
1616C2×Q8—2444no—
1617C2×Q8—2444no—
1618C2×Q8—2441no—
1619C2×Q8—2441no—
1620C2×Q8—2444no—
1621C2×Q8C23×D6111yescharacteristic
1622C2×Q8C23×D6111yescharacteristic
1623C2×Q8C23×D6111yescharacteristic
1624C2×D4—22no—
1625C2×D4—21no—
1626C2×D4—21no—
1627C2×D4—21no—
1628C2×D4—21no—
1629C2×D4—21no—
1630C2×D4—41no—
1631C2×D4—614no—
1632C2×D4—611no—
1633C2×D4—611no—
1634C2×D4—611no—
1635C2×D4—611no—
1636C2×D4—611no—
1637C2×D4—611no—
1638C2×D4—1222no—
1639C2×D4—1221no—
1640C2×D4—1221no—
1641C2×D4—1221no—
1642C2×D4—1221no—
1643C2×D4—1222no—
1644C2×D4—1222no—
1645C2×D4—1222no—
1646C2×D4—1222no—
1647C2×D4—1222no—
1648C2×D4—1221no—
1649C2×D4—1221no—
1650C2×D4—1221no—
1651C2×D4—1221no—
1652C2×D4—1221no—
1653C2×D4—1222no—
1654C2×D4—1222no—
1655C2×D4—1221no—
1656C2×D4—1221no—
1657C2×D4—1221no—
1658C2×D4—1221no—
1659C2×D4—1221no—
1660C2×D4—1221no—
1661C2×D4—1221no—
1662C2×D4—1221no—
1663C2×D4—1221no—
1664C2×D4—4882no—
1665C2×D4—2441no—
1666C2×D4—2441no—
1667C2×D4—2441no—
1668C2×D4—2444no—
1669C2×D4—2442no—
1670C2×D4—2444no—
1671C2×D4—2444no—
1672C2×D4—2444no—
1673C2×D4—2444no—
1674C2×D4—2444no—
1675C2×D4D4×D6111yescharacteristic
1676C2×D4C23×D6111yescharacteristic
1677C2×D4C23×D6111yescharacteristic
1678C2×D4C23×D6111yescharacteristic
1679C22×C4—21no—
1680C22×C4—21no—
1681C22×C4—21no—
1682C22×C4—21no—
1683C22×C4—611no—
1684C22×C4—611no—
1685C22×C4—611no—
1686C22×C4—611no—
1687C22×C4—611no—
1688C22×C4—611no—
1689C22×C4—611no—
1690C22×C4—611no—
1691C22×C4—611no—
1692C22×C4—611no—
1693C22×C4—611no—
1694C22×C4—1222no—
1695C22×C4—1222no—
1696C22×C4—1222no—
1697C22×C4—1222no—
1698C22×C4—1221no—
1699C22×C4—1221no—
1700C22×C4—1221no—
1701C22×C4—1221no—
1702C22×C4—1221no—
1703C22×C4—1221no—
1704C22×C4—1221no—
1705C22×C4—1221no—
1706C22×C4—1221no—
1707C22×C4—1221no—
1708C22×C4—1221no—
1709C22×C4—1221no—
1710C22×C4—1221no—
1711C22×C4—1221no—
1712C22×C4—1221no—
1713C22×C4—1221no—
1714C22×C4—1221no—
1715C22×C4—4882no—
1716C22×C4—2444no—
1717C22×C4—2444no—
1718C22×C4—2444no—
1719C22×C4C23×D6111yescharacteristic
1720C22×C4C23×D6111yescharacteristic
1721Q16—22no—
1722Q16—22no—
1723Q16—1222no—
1724Q16—1222no—
1725Q16—1222no—
1726Q16—1222no—
1727Q16—1222no—
1728Q16—1222no—
1729SD16—22no—
1730SD16—22no—
1731SD16—41no—
1732SD16—41no—
1733SD16—614no—
1734SD16—614no—
1735SD16—614no—
1736SD16—1222no—
1737SD16—1222no—
1738SD16—1222no—
1739SD16—1222no—
1740SD16—1222no—
1741SD16—1222no—
1742SD16—2441no—
1743SD16—2441no—
1744SD16—2441no—
1745SD16—2441no—
1746SD16—2441no—
1747SD16—2441no—
1748SD16D4×D6114yescomplemented
1749D8—22no—
1750D8—22no—
1751D8—1222no—
1752D8—1222no—
1753D8—1222no—
1754D8—1222no—
1755D8—1222no—
1756D8—1222no—
1757M16—22no—
1758M16—22no—
1759M16—1222no—
1760M16—1222no—
1761M16—1222no—
1762M16—1222no—
1763M16—1222no—
1764M16—1222no—
1765C2×C8—611no—
1766C2×C8—614no—
1767C2×C8—611no—
1768C2×C8—611no—
1769C2×C8—611no—
1770C2×C8—1222no—
1771C2×C8—1222no—
1772C2×C8—1222no—
1773C2×C8C23×D6111yescharacteristic
1774C2×C8C23×D6111yescharacteristic
1775C2×C8C23×D6111yescharacteristic
1776C2×C8C23×D6111yescharacteristic
1777C4⋊C4—21no—
1778C4⋊C4—21no—
1779C4⋊C4—21no—
1780C4⋊C4—611no—
1781C4⋊C4—611no—
1782C4⋊C4—611no—
1783C4⋊C4—611no—
1784C4⋊C4—611no—
1785C4⋊C4—1221no—
1786C4⋊C4—1221no—
1787C4⋊C4—1221no—
1788C4⋊C4—1221no—
1789C4⋊C4—1221no—
1790C4⋊C4—1221no—
1791C4⋊C4—1221no—
1792C4⋊C4—1221no—
1793C4⋊C4—1221no—
1794C4⋊C4—1221no—
1795C4⋊C4—1221no—
1796C4⋊C4D4×D6111yescharacteristic
1797C4⋊C4C23×D6111yescharacteristic
1798C4⋊C4C23×D6111yescharacteristic
1799C22⋊C4—21no—
1800C22⋊C4—21no—
1801C22⋊C4—21no—
1802C22⋊C4—21no—
1803C22⋊C4—21no—
1804C22⋊C4—21no—
1805C22⋊C4—21no—
1806C22⋊C4—21no—
1807C22⋊C4—21no—
1808C22⋊C4—611no—
1809C22⋊C4—611no—
1810C22⋊C4—611no—
1811C22⋊C4—611no—
1812C22⋊C4—611no—
1813C22⋊C4—611no—
1814C22⋊C4—1221no—
1815C22⋊C4—1221no—
1816C22⋊C4—1221no—
1817C22⋊C4—1221no—
1818C22⋊C4—1221no—
1819C22⋊C4—1221no—
1820C22⋊C4—1221no—
1821C22⋊C4—1221no—
1822C22⋊C4—1221no—
1823C22⋊C4—1221no—
1824C22⋊C4—1221no—
1825C22⋊C4—1221no—
1826C22⋊C4—1221no—
1827C22⋊C4—1221no—
1828C22⋊C4—1221no—
1829C22⋊C4—1221no—
1830C22⋊C4—1221no—
1831C22⋊C4—1221no—
1832C22⋊C4—1221no—
1833C22⋊C4—1221no—
1834C22⋊C4—1221no—
1835C22⋊C4—1221no—
1836C22⋊C4—1221no—
1837C22⋊C4—1221no—
1838C22⋊C4—1221no—
1839C22⋊C4—1221no—
1840C22⋊C4—1221no—
1841C22⋊C4D4×D6111yescharacteristic
1842C22⋊C4D4×D6111yescharacteristic
1843C42—21no—
1844C42—611no—
1845C42—611no—
1846C42—611no—
1847C42—1221no—
1848C42—1221no—
1849C42—1221no—
1850C42C23×D6111yescharacteristic
1851C23—21no—
1852C23—21no—
1853C23—21no—
1854C23—42no—
1855C23—42no—
1856C23—81no—
1857C23—611no—
1858C23—611no—
1859C23—611no—
1860C23—1222no—
1861C23—1222no—
1862C23—1224no—
1863C23—1222no—
1864C23—1222no—
1865C23—1222no—
1866C23—1222no—
1867C23—1221no—
1868C23—1221no—
1869C23—1221no—
1870C23—4881no—
1871C23—4881no—
1872C23—4881no—
1873C23—48816no—
1874C23—2442no—
1875C23—2442no—
1876C23—2442no—
1877C23—2442no—
1878C23—2442no—
1879C23—2442no—
1880C23—2442no—
1881C23—2442no—
1882C23—2442no—
1883C23—2442no—
1884C23—2442no—
1885C23—2442no—
1886C23—2442no—
1887C23—2442no—
1888C23C2×D4×D6111yescharacteristic
1889C23C2×D4×D6111yescharacteristic
1890Q8—21no—
1891Q8—21no—
1892Q8—21no—
1893Q8—21no—
1894Q8—21no—
1895Q8—42no—
1896Q8—612no—
1897Q8—1224no—
1898Q8—1221no—
1899Q8—1221no—
1900Q8—1221no—
1901Q8—1221no—
1902Q8—1221no—
1903Q8—2442no—
1904Q8—2442no—
1905Q8—2442no—
1906Q8—2442no—
1907Q8—2442no—
1908Q8C2×D4×D6112yes—
1909D4—21no—
1910D4—21no—
1911D4—21no—
1912D4—21no—
1913D4—21no—
1914D4—41no—
1915D4—42no—
1916D4—42no—
1917D4—42no—
1918D4—42no—
1919D4—81no—
1920D4—612no—
1921D4—1224no—
1922D4—1221no—
1923D4—1221no—
1924D4—1221no—
1925D4—1221no—
1926D4—1221no—
1927D4—4881no—
1928D4—4881no—
1929D4—4881no—
1930D4—2441no—
1931D4—2442no—
1932D4—2442no—
1933D4—2442no—
1934D4—2442no—
1935D4—2442no—
1936D4—2442no—
1937D4—2441no—
1938D4—2441no—
1939D4—2442no—
1940D4—2442no—
1941D4—2442no—
1942D4—2442no—
1943D4—2442no—
1944D4—2442no—
1945D4—2442no—
1946D4—2442no—
1947D4C2×D4×D6112yes—
1948C2×C4—21no—
1949C2×C4—21no—
1950C2×C4—21no—
1951C2×C4—21no—
1952C2×C4—21no—
1953C2×C4—21no—
1954C2×C4—21no—
1955C2×C4—21no—
1956C2×C4—21no—
1957C2×C4—42no—
1958C2×C4—42no—
1959C2×C4—42no—
1960C2×C4—81no—
1961C2×C4—611no—
1962C2×C4—612no—
1963C2×C4—612no—
1964C2×C4—611no—
1965C2×C4—611no—
1966C2×C4—611no—
1967C2×C4—611no—
1968C2×C4—1222no—
1969C2×C4—1222no—
1970C2×C4—1222no—
1971C2×C4—1222no—
1972C2×C4—1222no—
1973C2×C4—1222no—
1974C2×C4—1224no—
1975C2×C4—1222no—
1976C2×C4—1222no—
1977C2×C4—1221no—
1978C2×C4—1221no—
1979C2×C4—1221no—
1980C2×C4—1221no—
1981C2×C4—1221no—
1982C2×C4—1221no—
1983C2×C4—1221no—
1984C2×C4—1221no—
1985C2×C4—1221no—
1986C2×C4—4881no—
1987C2×C4—4881no—
1988C2×C4—4881no—
1989C2×C4—2442no—
1990C2×C4—2442no—
1991C2×C4—2442no—
1992C2×C4—2442no—
1993C2×C4—2442no—
1994C2×C4—2442no—
1995C2×C4—2442no—
1996C2×C4—2442no—
1997C2×C4—2442no—
1998C2×C4—2442no—
1999C2×C4—2442no—
2000C2×C4—2442no—
2001C2×C4—2442no—
2002C2×C4C2×D4×D6111yescharacteristic
2003C2×C4C2×D4×D6111yescharacteristic
2004C2×C4C2×D4×D6111yescharacteristic
2005C2×C4C2×D4×D6111yescharacteristic
2006C2×C4C24×D6111yescharacteristic
2007C8—21no—
2008C8—21no—
2009C8—21no—
2010C8—612no—
2011C8—1221no—
2012C8—1221no—
2013C8—1221no—
2014C8C2×D4×D6112yes—
2015C22—21no—
2016C22—21no—
2017C22—22no—
2018C22—21no—
2019C22—21no—
2020C22—21no—
2021C22—21no—
2022C22—41no—
2023C22—41no—
2024C22—41no—
2025C22—41no—
2026C22—41no—
2027C22—41no—
2028C22—41no—
2029C22—41no—
2030C22—84no—
2031C22—612no—
2032C22—612no—
2033C22—612no—
2034C22—1221no—
2035C22—1221no—
2036C22—1222no—
2037C22—1221no—
2038C22—1221no—
2039C22—1221no—
2040C22—1221no—
2041C22—4884no—
2042C22—4884no—
2043C22—4884no—
2044C22—4884no—
2045C22—4884no—
2046C22—2444no—
2047C22—2444no—
2048C22—2448no—
2049C22—2441no—
2050C22—2441no—
2051C22—2441no—
2052C22—2441no—
2053C22—2441no—
2054C22—2441no—
2055C22—2441no—
2056C22—2441no—
2057C22C22×D4×D6111yescharacteristic
2058C4—21no—
2059C4—21no—
2060C4—22no—
2061C4—21no—
2062C4—21no—
2063C4—41no—
2064C4—41no—
2065C4—41no—
2066C4—41no—
2067C4—612no—
2068C4—1221no—
2069C4—1221no—
2070C4—1222no—
2071C4—1221no—
2072C4—1221no—
2073C4—2441no—
2074C4—2441no—
2075C4—2441no—
2076C4—2441no—
2077C4C22×D4×D6111yescharacteristic
2078C4H(5,𝔽2)×D6111yescharacteristic
2079C2—41no—
2080C2—41no—
2081C2—42no—
2082C2—81no—
2083C2—81no—
2084C2—614no—
2085C2—4881no—
2086C2—4881no—
2087C2—2441no—
2088C2—2441no—
2089C2—2442no—
2090C2D42×D6111yescharacteristic
2091C2#575×D6111yescharacteristic
2092C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3275C2
socleC22×C61C23×D4
hypercenter#3275D61
hypocenterC61C2×#3275
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3275

Complements

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

NH ≅ G/Ntype
1. C2×#137×D61C2semidirect
2. C2×AGL(1,ℤ/8)×D61C2semidirect
3. #548×D61C2semidirect
4. #546×D61C2semidirect
5. #21457457C2semidirect
6. #21457456C2semidirect
7. #21457455C2semidirect
8. #21457454C2semidirect
9. #21457453C2semidirect
10. #21457452C2semidirect
11. #21457451C2semidirect
12. #21457450C2semidirect
13. #21457449C2semidirect
14. #21457448C2semidirect
15. #21457447C2semidirect
16. #21457446C2semidirect
17. #21457445C2semidirect
18. #21457444C2semidirect
19. #21457443C2semidirect
20. #495×D61C2semidirect
21. #470×D61C2semidirect
22. #469×D61C2semidirect
23. #464×D61C2semidirect
24. #463×D61C2semidirect
25. #452×D61C2semidirect
26. #449×D61C2semidirect
27. #448×D61C2semidirect
28. #450×D61C2semidirect
29. C4×SD16×D61C2semidirect
30. #436×D61C2semidirect
31. C61×#3275C2semidirect
34. C22×Q8×D61C22semidirect
36. C2×#14519810C22semidirect
37. C2×#14519809C22semidirect
38. C2×#14519809C22semidirect
39. C2×#14519808C22semidirect
40. C2×#14519807C22semidirect
41. C2×#14519806C22semidirect
42. C2×#14519806C22semidirect
44. C2×#14519805C22semidirect
45. C2×#14519804C22semidirect
46. C2×#14519804C22semidirect
47. C2×#14519803C22semidirect
48. C2×#14519802C22semidirect
49. C2×#14519801C22semidirect
50. C2×#14519801C22semidirect
52. C2×Q16×D61C22semidirect
53. C2×Q16×D61C22semidirect
58. C2×SD16×D61C22semidirect
62. C2×M16×D61C22semidirect
63. #16840424C22semidirect
64. #16840423C22semidirect
66. #16840422C22semidirect
68. #16840421C22semidirect
70. #16840420C22semidirect
71. #16840419C22semidirect
73. #16840418C22semidirect
74. #16840409C22semidirect
75. #16840408C22semidirect
76. #16840407C22semidirect
77. #16840406C22semidirect
78. #16840405C22semidirect
80. #16840403C22semidirect
83. #16840400C22semidirect
87. #124×D61C22semidirect
95. #121×D61C22semidirect
97. C4×Q8×D61C22semidirect
102. #16840147C22semidirect
103. #16840146C22semidirect
104. #16840145C22semidirect
105. #16840144C22semidirect
106. #16840144C22semidirect
107. #16840143C22semidirect
108. #16840143C22semidirect
109. #16840021C22semidirect
110. #16840020C22semidirect
111. #16840019C22semidirect
112. #16840019C22semidirect
113. #16840018C22semidirect
114. #16840018C22semidirect
115. #16840017C22semidirect
116. #16840016C22semidirect
117. #16840015C22semidirect
118. #16840014C22semidirect
119. #16840014C22semidirect
120. #16840013C22semidirect
121. #16840013C22semidirect
122. #16840012C22semidirect
123. #16839987C22semidirect
124. #16839986C22semidirect
125. #16839985C22semidirect
126. #16839984C22semidirect
127. #16839983C22semidirect
128. #16839982C22semidirect
129. #16839981C22semidirect
130. #16839980C22semidirect
131. #16839979C22semidirect
132. #16839978C22semidirect
133. #16839977C22semidirect
134. #16839976C22semidirect
135. #16839975C22semidirect
136. #16839974C22semidirect
137. #16839927C22semidirect
138. #16839926C22semidirect
139. #16839925C22semidirect
140. #16839924C22semidirect
141. #16839923C22semidirect
142. #16839922C22semidirect
143. #16839921C22semidirect
144. #16839915C22semidirect
145. #16839914C22semidirect
146. #16839914C22semidirect
147. #16839913C22semidirect
148. #16839912C22semidirect
149. #16839911C22semidirect
150. #16839911C22semidirect
151. #16839910C22semidirect
152. #16839909C22semidirect
153. #16839908C22semidirect
154. #16839907C22semidirect
155. #16839906C22semidirect
156. #16839905C22semidirect
157. #16839904C22semidirect
158. #16839903C22semidirect
159. #16839902C22semidirect
160. #16839902C22semidirect
161. #16839901C22semidirect
162. #16839900C22semidirect
163. #16839899C22semidirect
164. #16839899C22semidirect
165. #16839853C22semidirect
166. C4×#11758190C22semidirect
167. SD16×Dic61C22semidirect
168. C4×#11758201C22semidirect
169. #16839849C22semidirect
170. C4×#11758200C22semidirect
171. #16839847C22semidirect
172. #16839841C22semidirect
173. #16839840C22semidirect
174. #16839839C22semidirect
175. #16839838C22semidirect
176. #16839838C22semidirect
177. #16839837C22semidirect
178. #16839837C22semidirect
179. #106×D61C22semidirect
180. C4⋊C8×D61C22semidirect
181. #103×D61C22semidirect
182. #103×D61C22semidirect
183. #103×D61C22semidirect
186. #102×D61C22semidirect
188. C22⋊C8×D61C22semidirect
189. C4×C8×D61C22semidirect
190. C2×#137×C61C22semidirect
191. C2×AGL(1,ℤ/8)×C61C22semidirect
192. C61×#548C22semidirect
193. C61×#546C22semidirect
194. C61×#495C22semidirect
195. C61×#470C22semidirect
196. C61×#469C22semidirect
197. C61×#464C22semidirect
198. C61×#463C22semidirect
199. C61×#452C22semidirect
200. C61×#450C22semidirect
201. C61×#449C22semidirect
202. C61×#448C22semidirect
203. C4×SD16×C61C22semidirect
204. C61×#436C22semidirect
221. C22×Dic122C23semidirect
229. C2×Q8×D61C23semidirect
230. C2×Q8×D61C23semidirect
267. C2×Dic244C23semidirect
268. C2×Dic244C23semidirect
269. C2×#11758202C23semidirect
270. C2×#11758202C23semidirect
271. C2×#11758202C23semidirect
272. C2×#11758202C23semidirect
279. C2×#11758190C23semidirect
284. C2×#11758200C23semidirect
289. C2×#11758201C23semidirect
294. SD16×D61D4semidirect
304. C2×#11758194C23semidirect
307. C2×#11758189C23semidirect
308. C2×#11758189C23semidirect
317. #14519766C23semidirect
320. #14519765C23semidirect
323. #14519764C23semidirect
359. #14519752C23semidirect
363. #14519751C23semidirect
379. #14519748C23semidirect
387. Q8×Dic61C23semidirect
389. C4×Dic122C23semidirect
391. #14519742C23semidirect
437. #14519709C23semidirect
438. #14519708C23semidirect
439. #14519708C23semidirect
440. C4⋊#92418C23semidirect
441. #14519706C23semidirect
442. #14519706C23semidirect
443. #14519702C23semidirect
444. #14519702C23semidirect
445. #14519702C23semidirect
446. #14519701C23semidirect
447. #14519701C23semidirect
448. #14519701C23semidirect
449. #14519700C23semidirect
450. #14519700C23semidirect
451. #14519700C23semidirect
454. #14519699C23semidirect
457. #14519698C23semidirect
460. #14519697C23semidirect
462. C22⋊#92418C23semidirect
465. #14519689C23semidirect
466. #14519689C23semidirect
467. C4×#92418C23semidirect
468. C8×Dic61C23semidirect
469. C8×Dic61C23semidirect
472. C22×Q8×C61C23semidirect
476. C2×Q16×C61C23semidirect
477. C2×Q16×C61C23semidirect
482. C2×SD16×C61C23semidirect
486. C2×M16×C61C23semidirect
489. #124×C61C23semidirect
497. #121×C61C23semidirect
499. C4×Q8×C61C23semidirect
504. #106×C61C23semidirect
505. C4⋊C8×C61C23semidirect
506. #103×C61C23semidirect
507. #103×C61C23semidirect
508. #103×C61C23semidirect
511. #102×C61C23semidirect
513. C22⋊C8×C61C23semidirect
514. C4×C8×C61C23semidirect
680. SD16×C61C2×D4semidirect
727. #11758201C2×D4semidirect
732. #11758200C2×D4semidirect
795. #11758190C2×D4semidirect
1052. #3275D61direct (N × H)
1077. D61#3275direct (N × H)
1090. C2×#137C2×D61semidirect
1099. C2×AGL(1,ℤ/8)C2×D61semidirect
1122. #548C2×D61semidirect
1134. #546C2×D61semidirect
1159. #495C2×D61semidirect
1167. #470C2×D61semidirect
1175. #469C2×D61semidirect
1183. #464C2×D61semidirect
1191. #463C2×D61semidirect
1199. #452C2×D61semidirect
1207. #450C2×D61semidirect
1215. #449C2×D61semidirect
1223. #448C2×D61semidirect
1231. C4×SD16C2×D61semidirect
1239. #436C2×D61semidirect
1251. C61C2×#3275semidirect
1280. C22×Q8C22×D61semidirect
1328. C2×Q16C22×D61semidirect
1329. C2×Q16C22×D61semidirect
1354. C2×SD16C22×D61semidirect
1374. C2×M16C22×D61semidirect
1398. #124C22×D61semidirect
1454. #121C22×D61semidirect
1468. C4×Q8C22×D61semidirect
1521. #106C22×D61semidirect
1525. C4⋊C8C22×D61semidirect
1535. #103C22×D61semidirect
1536. #103C22×D61semidirect
1537. #103C22×D61semidirect
1549. #102C22×D61semidirect
1557. C22⋊C8C22×D61semidirect
1561. C4×C8C22×D61semidirect
1748. SD16D4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#137×D612
C2×AGL(1,ℤ/8)×D612
#548×D612
#546×D612
#214574572
#214574562
#214574552
#214574542
#214574532
#214574522
#214574512
#214574502
#214574492
#214574482
#214574472
#214574462
#214574452
#214574442
#214574432
#495×D612
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C4×SD16×D612
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C61×#32752
C2×#327561