Finite Group Databasebeta

← #30555341

Subgroups — #30555341

Order 15616.

2870 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×#16840571C211yesmaximal, characteristic, complemented
2C22×SD16×D61C211yesmaximal, characteristic, complemented
3#21459469C211yesmaximal, characteristic, complemented
4#21459449C211yesmaximal, characteristic, complemented
5#21457524C211yesmaximal, characteristic, complemented
6#21457522C211yesmaximal, characteristic, complemented
7#21457521C211yesmaximal, characteristic, complemented
8#21457519C211yesmaximal, characteristic, complemented
9#21457518C211yesmaximal, characteristic, complemented
10D4×#11758201C211yesmaximal, characteristic, complemented
11#21457513C211yesmaximal, characteristic, complemented
12#21457508C211yesmaximal, characteristic, complemented
13#21457328C211yesmaximal, characteristic, complemented
14#21457326C211yesmaximal, characteristic, complemented
15#21457323C211yesmaximal, characteristic, complemented
16#21457321C211yesmaximal, characteristic, complemented
17#21457319C211yesmaximal, characteristic, complemented
18#21457316C211yesmaximal, characteristic, complemented
19#21457314C211yesmaximal, characteristic, complemented
20#21456294C211yesmaximal, characteristic, complemented
21#21455456C211yesmaximal, characteristic, complemented
22#21455402C211yesmaximal, characteristic, complemented
23#21455338C211yesmaximal, characteristic, complemented
24#21455326C211yesmaximal, characteristic, complemented
25#21455100C211yesmaximal, characteristic, complemented
26#21455093C211yesmaximal, characteristic, complemented
27#21455054C211yesmaximal, characteristic, complemented
28#21455047C211yesmaximal, characteristic, complemented
29#21454675C211yesmaximal, characteristic, complemented
30#21454510C211yesmaximal, characteristic, complemented
31C61×#3266C211yesmaximal, characteristic, complemented
32C2×#14519825C2211yescharacteristic, complemented
33C2×#14519823C2211yescharacteristic
34C22×Q8×D61C2211yescharacteristic, complemented
35C22×D4×D61C2211yescharacteristic
36#16840571—28no—
37C2×#14519809C2211yescharacteristic, complemented
38C2×#14519809C2211yescharacteristic, complemented
39C2×#14519809C2211yescharacteristic, complemented
40C2×#14519805C2211yescharacteristic, complemented
41C2×#14519804C2211yescharacteristic
42C2×#14519804C2211yescharacteristic, complemented
43C2×#14519804C2211yescharacteristic, complemented
44C2×#14519800C2211yescharacteristic, complemented
45C2×#14519800C2211yescharacteristic, complemented
46C2×#14519797C2211yescharacteristic, complemented
47C22×#11758190C2211yescharacteristic, complemented
48C22×#11758200C2211yescharacteristic, complemented
49C22×#11758201C2211yescharacteristic, complemented
50C22×#11758201C2211yescharacteristic, complemented
51C2×SD16×D61—28no—
52C2×SD16×D61C2211yescharacteristic
53C2×SD16×D61C2211yescharacteristic
54C2×SD16×D61C2211yescharacteristic, complemented
55C2×SD16×D61C2211yescharacteristic, complemented
56C2×SD16×D61C2211yescharacteristic, complemented
57C2×SD16×D61C2211yescharacteristic, complemented
58C2×SD16×D61C2211yescharacteristic, complemented
59C2×SD16×D61C2211yescharacteristic, complemented
60C2×SD16×D61C2211yescharacteristic, complemented
61C2×#14519785C2211yescharacteristic, complemented
62C22×C8×D61C2211yescharacteristic, complemented
63#16840427—21no—
64#16840427C2211yescharacteristic, complemented
65Q8×C22⋊D61C2211yescharacteristic, complemented
66#16840425—21no—
67#16840425C2211yescharacteristic, complemented
68#16840424C2211yescharacteristic, complemented
69#16840423C2211yescharacteristic, complemented
70#16840422—21no—
71#16840422C2211yescharacteristic, complemented
72#16840421—21no—
73#16840421C2211yescharacteristic, complemented
74#16840405C2211yescharacteristic
75#16840404—21no—
76#16840403C2211yescharacteristic
77#16840402—21no—
78#16840400C2211yescharacteristic
79D4×D244C2211yescharacteristic
80D4×D244C2211yescharacteristic
81#16840396—21no—
82#16840396C2211yescharacteristic
83D4×C22⋊D61C2211yescharacteristic
84#16840394—21no—
85#16840337—21no—
86#16840337C2211yescharacteristic, complemented
87#16840335—21no—
88#16840335C2211yescharacteristic, complemented
89#16840330C2211yescharacteristic
90#16840328C2211yescharacteristic
91#16840323—21no—
92#16840320—21no—
93#16840275—21no—
94#16840275C2211yescharacteristic
95#16840275C2211yescharacteristic, complemented
96#16840271—21no—
97#16840271C2211yescharacteristic
98C2×#14519747—21no—
99#120×D61—21no—
100#16840238C2211yescharacteristic, complemented
101#16840234C2211yescharacteristic
102#16840155C2211yescharacteristic, complemented
103#16840151C2211yescharacteristic, complemented
104#16840148C2211yescharacteristic, complemented
105#16840147C2211yescharacteristic, complemented
106#16840144C2211yescharacteristic, complemented
107#16840136C2211yescharacteristic, complemented
108#16840133C2211yescharacteristic, complemented
109#16840009C2211yescharacteristic, complemented
110#16840008C2211yescharacteristic, complemented
111#16840005C2211yescharacteristic, complemented
112#16840000C2211yescharacteristic, complemented
113#16839999C2211yescharacteristic, complemented
114#16839998C2211yescharacteristic, complemented
115#16839994C2211yescharacteristic, complemented
116#16839994C2211yescharacteristic, complemented
117#16839994C2211yescharacteristic, complemented
118#16839993C2211yescharacteristic, complemented
119#16839993C2211yescharacteristic, complemented
120#16839993C2211yescharacteristic, complemented
121#16839990C2211yescharacteristic, complemented
122#16839989C2211yescharacteristic, complemented
123#16839987C2211yescharacteristic, complemented
124#16839986C2211yescharacteristic, complemented
125#16839981C2211yescharacteristic, complemented
126#16839980C2211yescharacteristic, complemented
127#16839979C2211yescharacteristic, complemented
128#16839978C2211yescharacteristic, complemented
129#16839977C2211yescharacteristic, complemented
130#16839966C2211yescharacteristic, complemented
131#16839965C2211yescharacteristic, complemented
132#16839964C2211yescharacteristic, complemented
133#16839963C2211yescharacteristic, complemented
134#16839962C2211yescharacteristic, complemented
135#16839961C2211yescharacteristic, complemented
136#16839960C2211yescharacteristic, complemented
137#16839927C2211yescharacteristic, complemented
138#16839924C2211yescharacteristic, complemented
139#16839923C2211yescharacteristic, complemented
140#16839917C2211yescharacteristic, complemented
141#16839916C2211yescharacteristic, complemented
142#16839916C2211yescharacteristic, complemented
143#16839915C2211yescharacteristic, complemented
144#16839914C2211yescharacteristic, complemented
145#16839912C2211yescharacteristic, complemented
146#16839912C2211yescharacteristic, complemented
147#16839911C2211yescharacteristic, complemented
148#16839911C2211yescharacteristic, complemented
149#16839911C2211yescharacteristic, complemented
150#16839910C2211yescharacteristic, complemented
151#16839909C2211yescharacteristic, complemented
152#16839906C2211yescharacteristic, complemented
153#16839905C2211yescharacteristic, complemented
154#16839903C2211yescharacteristic, complemented
155#16839902C2211yescharacteristic, complemented
156#16839902C2211yescharacteristic, complemented
157#16839902C2211yescharacteristic, complemented
158#16839901C2211yescharacteristic, complemented
159#16839901C2211yescharacteristic, complemented
160#16839899C2211yescharacteristic, complemented
161#16839898C2211yescharacteristic, complemented
162#16839897C2211yescharacteristic, complemented
163#16839897C2211yescharacteristic, complemented
164#16839896C2211yescharacteristic, complemented
165#16839864C2211yescharacteristic, complemented
166#16839863C2211yescharacteristic, complemented
167#16839861C2211yescharacteristic, complemented
168#16839853C2211yescharacteristic, complemented
169C4×#11758201C2211yescharacteristic, complemented
170C4×#11758200C2211yescharacteristic, complemented
171#16839847C2211yescharacteristic, complemented
172#16839835C2211yescharacteristic, complemented
173#16839833C2211yescharacteristic, complemented
174#16839831C2211yescharacteristic, complemented
175D4×#92418C2211yescharacteristic, complemented
176#16839827C2211yescharacteristic, complemented
177#16839825C2211yescharacteristic, complemented
178#16839825C2211yescharacteristic, complemented
179#16839799C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181#16839769C2211yescharacteristic, complemented
182#16839769C2211yescharacteristic, complemented
183#16839765C2211yescharacteristic
184#16839765C2211yescharacteristic, complemented
185#16839757C2211yescharacteristic, complemented
186#16839757C2211yescharacteristic, complemented
187#16839727C2211yescharacteristic, complemented
188#16839724C2211yescharacteristic, complemented
189#16839719C2211yescharacteristic, complemented
190C2×#137×C61C2211yescharacteristic, complemented
191C22×SD16×C61C2211yescharacteristic, complemented
192D4×Q8×C61C2211yescharacteristic, complemented
193C61×#546C2211yescharacteristic
194C61×#497C2211yescharacteristic, complemented
195C61×#468C2211yescharacteristic, complemented
196C61×#467C2211yescharacteristic, complemented
197C61×#464C2211yescharacteristic, complemented
198C61×#461C2211yescharacteristic, complemented
199C61×#452C2211yescharacteristic, complemented
200C61×#451C2211yescharacteristic, complemented
201C61×#450C2211yescharacteristic, complemented
202C61×#448C2211yescharacteristic, complemented
203C61×#440C2211yescharacteristic, complemented
204C61×#435C2211yescharacteristic, complemented
205C24×D61—21no—
206#14519825—24no—
207#14519825—42no—
208#14519823—24no—
209#14519823—42no—
210C2×#11758226—21no—
211C2×#11758226C2311yescharacteristic
212C2×#11758226C2311yescharacteristic
213C2×#11758226C2311yescharacteristic
214C2×#11758226C2311yescharacteristic, complemented
215C2×#11758222—21no—
216C2×#11758222—21no—
217C2×#11758222—21no—
218C2×#11758222C2311yescharacteristic
219C2×#11758222C2311yescharacteristic, complemented
220C22×Dic122—21no—
221C22×Dic122C2311yescharacteristic
222C2×Q8×D61—21no—
223C2×Q8×D61—21no—
224C2×Q8×D61—21no—
225C2×Q8×D61—24no—
226C2×Q8×D61—42no—
227C2×Q8×D61C2311yescharacteristic
228C2×Q8×D61C2311yescharacteristic
229C2×Q8×D61C2311yescharacteristic
230C2×Q8×D61C2311yescharacteristic
231C2×Q8×D61C2311yescharacteristic, complemented
232C22×D244—21no—
233C22×D244—21no—
234C22×D244C2311yescharacteristic
235C22×D244C2311yescharacteristic
236C22×C22⋊D61—21no—
237C22×C22⋊D61—21no—
238C2×D4×D61—24no—
239C2×D4×D61—21no—
240C2×D4×D61—21no—
241C2×D4×D61—21no—
242C2×D4×D61—21no—
243C2×D4×D61—21no—
244C2×D4×D61—21no—
245C2×D4×D61—42no—
246C2×D4×D61C2311yescharacteristic
247C2×D4×D61C2311yescharacteristic
248C2×D4×D61C2311yescharacteristic
249C2×D4×D61C2311yescharacteristic
250C2×D4×D61C2311yescharacteristic
251C22×C4×D61—21no—
252C22×C4×D61C2311yescharacteristic
253#14519809—24no—
254#14519809—24no—
255#14519809—42no—
256#14519805—24no—
257#14519804—24no—
258#14519804—24no—
259#14519804—42no—
260#14519800—24no—
261#14519800—24no—
262#14519797—24no—
263C2×#11758202C2311yescharacteristic, complemented
264C2×#11758202C2311yescharacteristic, complemented
265C2×#11758190—24no—
266C2×#11758190C2311yescharacteristic
267C2×#11758190C2311yescharacteristic
268C2×#11758190C2311yescharacteristic
269C2×#11758190C2311yescharacteristic
270C2×#11758190C2311yescharacteristic, complemented
271C2×#11758190C2311yescharacteristic, complemented
272C2×#11758200—24no—
273C2×#11758200C2311yescharacteristic
274C2×#11758200C2311yescharacteristic
275C2×#11758200C2311yescharacteristic
276C2×#11758200C2311yescharacteristic
277C2×#11758201—24no—
278C2×#11758201—24no—
279C2×#11758201C2311yescharacteristic
280C2×#11758201C2311yescharacteristic
281C2×#11758201C2311yescharacteristic
282C2×#11758201C2311yescharacteristic
283C2×#11758201C2311yescharacteristic
284C2×#11758201C2311yescharacteristic
285C2×#11758201C2311yescharacteristic, complemented
286C2×#11758201C2311yescharacteristic, complemented
287C2×#11758201C2311yescharacteristic, complemented
288C2×#11758201C2311yescharacteristic, complemented
289SD16×D61—24no—
290SD16×D61—24no—
291SD16×D61—24no—
292SD16×D61—24no—
293SD16×D61—24no—
294SD16×D61—24no—
295SD16×D61—24no—
296SD16×D61—24no—
297SD16×D61D418yescomplemented
298C2×D488C2311yescharacteristic
299C2×D488C2311yescharacteristic
300C2×D488C2311yescharacteristic, complemented
301C2×#11758199C2311yescharacteristic
302C2×#11758199C2311yescharacteristic
303#14519785—24no—
304C2×#11758189C2311yescharacteristic
305C2×#11758189C2311yescharacteristic
306C2×#11758189C2311yescharacteristic, complemented
307C22×#92418C2311yescharacteristic
308C22×#92418C2311yescharacteristic, complemented
309C2×C8×D61—24no—
310C2×C8×D61C2311yescharacteristic
311C2×C8×D61C2311yescharacteristic
312C2×C8×D61C2311yescharacteristic
313C2×C8×D61C2311yescharacteristic
314C2×C8×D61C2311yescharacteristic, complemented
315#14519776—21no—
316#14519776—21no—
317#14519776—21no—
318#14519775—21no—
319#14519775C2311yescharacteristic, complemented
320#14519774C2311yescharacteristic
321#14519773—21no—
322#14519773C2311yescharacteristic
323#14519766—21no—
324#14519766C2311yescharacteristic
325#14519766C2311yescharacteristic, complemented
326#14519765—21no—
327#14519765C2311yescharacteristic, complemented
328#14519763—21no—
329#14519763—21no—
330#14519763—21no—
331#14519763—21no—
332#14519762—21no—
333#14519762—21no—
334#14519762—21no—
335#14519762—21no—
336#14519762—21no—
337#14519762—21no—
338#14519762D411yescharacteristic
339#14519760—21no—
340#14519759—21no—
341#14519759—21no—
342#14519759D411yescharacteristic
343#14519757—21no—
344#14519757C2311yescharacteristic, complemented
345#14519756—21no—
346#14519756C2311yescharacteristic, complemented
347#14519755—21no—
348#14519755—21no—
349#14519755—21no—
350#14519755—21no—
351#14519755—21no—
352#14519755—21no—
353#14519755—21no—
354#14519755D411yescharacteristic
355#14519754—21no—
356#14519754D411yescharacteristic
357#14519753—21no—
358#14519753—21no—
359#14519753C2311yescharacteristic
360#14519753C2311yescharacteristic
361#14519753C2311yescharacteristic, complemented
362#14519752—21no—
363#14519752—21no—
364#14519752—21no—
365#14519752C2311yescharacteristic
366#14519752C2311yescharacteristic
367#14519752C2311yescharacteristic
368#14519751—21no—
369#14519751—21no—
370#14519751C2311yescharacteristic
371#14519751C2311yescharacteristic
372#14519751C2311yescharacteristic
373#14519750—21no—
374#14519750—21no—
375#14519750—21no—
376#14519750—21no—
377#14519750—21no—
378#14519750D411yescharacteristic
379#14519749—21no—
380#14519749—21no—
381#14519749—21no—
382#14519749D411yescharacteristic
383#14519748C2311yescharacteristic
384#14519747—21no—
385#14519747—21no—
386#14519747—21no—
387#14519747—21no—
388#14519747—21no—
389#14519747—21no—
390#14519747—21no—
391#14519747—21no—
392#14519747—21no—
393#14519747—21no—
394#14519747—21no—
395#14519747—21no—
396#14519747D411yescharacteristic
397#14519746—21no—
398#14519745—21no—
399#14519745—21no—
400#14519745—21no—
401#14519745—21no—
402#14519745D411yescharacteristic
403Q8×Dic61C2311yescharacteristic, complemented
404C4×Dic122—21no—
405C4×Dic122C2311yescharacteristic, complemented
406#14519742—21no—
407#14519742C2311yescharacteristic, complemented
408C4×D244—21no—
409C4×D244C2311yescharacteristic
410C4×D244C2311yescharacteristic
411D4×Dic61C2311yescharacteristic
412#14519739—21no—
413#14519739—21no—
414#14519739—21no—
415#14519739—21no—
416#14519739C2311yescharacteristic
417C4×C22⋊D61—21no—
418C4×C22⋊D61—21no—
419C4×C22⋊D61—21no—
420C4×C22⋊D61C2311yescharacteristic
421C4×C22⋊D61C2311yescharacteristic
422#14519737—21no—
423#14519737—21no—
424#14519737—21no—
425#14519737—21no—
426#14519737—21no—
427#14519735—21no—
428#14519735C2311yescharacteristic
429#14519735C2311yescharacteristic
430#14519734—21no—
431#14519734C2311yescharacteristic
432C2×#11758198—21no—
433C2×#11758198—21no—
434C22⋊C4×D61—21no—
435C22⋊C4×D61—21no—
436C22⋊C4×D61—21no—
437#14519711C2311yescharacteristic, complemented
438#14519708C2311yescharacteristic, complemented
439#14519708C2311yescharacteristic, complemented
440C4⋊#92418C2311yescharacteristic, complemented
441#14519706C2311yescharacteristic, complemented
442#14519706C2311yescharacteristic, complemented
443#14519702C2311yescharacteristic, complemented
444#14519702C2311yescharacteristic, complemented
445#14519701C2311yescharacteristic, complemented
446#14519701C2311yescharacteristic, complemented
447#14519701C2311yescharacteristic, complemented
448#14519701C2311yescharacteristic, complemented
449#14519700C2311yescharacteristic, complemented
450#14519700C2311yescharacteristic, complemented
451#14519699C2311yescharacteristic
452#14519699C2311yescharacteristic
453#14519699C2311yescharacteristic, complemented
454#14519699C2311yescharacteristic, complemented
455#14519698C2311yescharacteristic
456#14519698C2311yescharacteristic
457#14519697C2311yescharacteristic
458#14519697C2311yescharacteristic
459#14519697C2311yescharacteristic, complemented
460#14519697C2311yescharacteristic, complemented
461C22⋊#92418C2311yescharacteristic
462C22⋊#92418C2311yescharacteristic, complemented
463#14519689C2311yescharacteristic
464#14519689C2311yescharacteristic
465#14519689C2311yescharacteristic, complemented
466#14519689C2311yescharacteristic, complemented
467#14519687C2311yescharacteristic, complemented
468C4×#92418C2311yescharacteristic, complemented
469C8×Dic61C2311yescharacteristic, complemented
470C2×#41×C61C2311yescharacteristic
471C22×Q8×C61C2311yescharacteristic
472C22×Q8×C61C2311yescharacteristic, complemented
473C22×D4×C61C2311yescharacteristic
474#137×C61—24no—
475C2×Q16×C61C2311yescharacteristic, complemented
476C2×Q16×C61C2311yescharacteristic, complemented
477C2×Q16×C61C2311yescharacteristic, complemented
478C2×SD16×C61—24no—
479C2×SD16×C61C2311yescharacteristic
480C2×SD16×C61C2311yescharacteristic
481C2×SD16×C61C2311yescharacteristic
482C2×SD16×C61C2311yescharacteristic
483C2×SD16×C61C2311yescharacteristic
484C2×SD16×C61C2311yescharacteristic
485C2×M16×C61C2311yescharacteristic, complemented
486C22×C8×C61C2311yescharacteristic
487C4⋊Q8×C61—21no—
488C4⋊Q8×C61C2311yescharacteristic, complemented
489#124×C61C2311yescharacteristic
490#123×C61—21no—
491C22⋊Q8×C61—21no—
492C22⋊Q8×C61—21no—
493C22⋊Q8×C61C2311yescharacteristic
494C22⋊Q8×C61C2311yescharacteristic
495C22⋊Q8×C61C2311yescharacteristic, complemented
496#121×C61—21no—
497#121×C61C2311yescharacteristic
498#120×C61—21no—
499C4×Q8×C61C2311yescharacteristic, complemented
500C4×D4×C61—21no—
501C4×D4×C61C2311yescharacteristic
502C4×D4×C61C2311yescharacteristic
503C2×C22⋊C4×C61—21no—
504#107×C61C2311yescharacteristic, complemented
505C4⋊C8×C61C2311yescharacteristic, complemented
506#103×C61C2311yescharacteristic, complemented
507#103×C61C2311yescharacteristic, complemented
508#103×C61C2311yescharacteristic, complemented
509#103×C61C2311yescharacteristic, complemented
510#102×C61C2311yescharacteristic
511#102×C61C2311yescharacteristic
512C22⋊C8×C61C2311yescharacteristic
513C22⋊C8×C61C2311yescharacteristic, complemented
514#97×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—21no—
523C23×D61—44no—
524C23×D61—82no—
525C23×D61—82no—
526C23×D61C2×D411yescharacteristic
527#41×C61—22no—
528#41×C61—41no—
529C2×Q8×C61—21no—
530C2×Q8×C61—21no—
531C2×Q8×C61—22no—
532C2×Q8×C61—22no—
533C2×Q8×C61—41no—
534C2×Q8×C61—41no—
535C2×Q8×C61C2411yescharacteristic
536C2×Q8×C61C2411yescharacteristic
537C2×Q8×C61C2411yescharacteristic
538C2×Q8×C61C2411yescharacteristic
539C2×D4×C61—22no—
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
547C22×C4×C61—21no—
548C22×C4×C61—21no—
549C22×C4×C61—21no—
550C22×C4×C61—21no—
551C22×C4×C61C2411yescharacteristic
552C22×C4×C61C2411yescharacteristic
553C2×C22⋊D61—21no—
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—44no—
566C2×C22⋊D61—82no—
567C2×C22⋊D61C2×D411yescharacteristic
568C2×C22⋊D61C2×D411yescharacteristic
569C2×C22⋊D61C2×D411yescharacteristic
570C2×C22⋊D61C2×D411yescharacteristic
571C22×Dic61—21no—
572C22×Dic61—21no—
573C22×Dic61C2×D411yescharacteristic
574#11758226—22no—
575#11758226—22no—
576#11758226—22no—
577#11758226—22no—
578#11758226—22no—
579#11758226—22no—
580#11758226—41no—
581#11758226—41no—
582#11758226—44no—
583Q8×D61—22no—
584Q8×D61—22no—
585Q8×D61—22no—
586Q8×D61—22no—
587Q8×D61—22no—
588Q8×D61—22no—
589Q8×D61—44no—
590Q8×D61—41no—
591Q8×D61—41no—
592Q8×D61—41no—
593Q8×D61—44no—
594Q8×D61—44no—
595Q8×D61C2×D414yescomplemented
596D4×D61—22no—
597D4×D61—22no—
598D4×D61—22no—
599D4×D61—22no—
600D4×D61—22no—
601D4×D61—22no—
602D4×D61—41no—
603D4×D61—41no—
604D4×D61—41no—
605D4×D61—44no—
606D4×D61—44no—
607D4×D61—44no—
608D4×D61—44no—
609D4×D61—82no—
610D4×D61—82no—
611D4×D61C2×D414yes—
612#11758222—22no—
613#11758222—22no—
614#11758222—22no—
615#11758222—41no—
616#11758222—44no—
617#11758222—44no—
618#11758222—44no—
619C2×D244—22no—
620C2×D244—22no—
621C2×D244—21no—
622C2×D244—21no—
623C2×D244—21no—
624C2×D244—21no—
625C2×D244—21no—
626C2×D244—21no—
627C2×D244—21no—
628C2×D244—21no—
629C2×D244—21no—
630C2×D244—21no—
631C2×D244—21no—
632C2×D244—41no—
633C2×D244—41no—
634C2×D244—44no—
635C2×D244—82no—
636C2×D244C2×D411yescharacteristic
637C2×D244C2×D411yescharacteristic
638C2×D244C2411yescharacteristic
639C2×D244C2411yescharacteristic
640C2×D244C2411yescharacteristic
641C2×D244C2411yescharacteristic
642C2×C4×D61—21no—
643C2×C4×D61—22no—
644C2×C4×D61—22no—
645C2×C4×D61—21no—
646C2×C4×D61—21no—
647C2×C4×D61—21no—
648C2×C4×D61—21no—
649C2×C4×D61—21no—
650C2×C4×D61—21no—
651C2×C4×D61—21no—
652C2×C4×D61—21no—
653C2×C4×D61—21no—
654C2×C4×D61—21no—
655C2×C4×D61—21no—
656C2×C4×D61—44no—
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×Dic122C2×D411yescharacteristic
672C2×Dic122C2411yescharacteristic
673C2×Dic122C2411yescharacteristic
674Q16×C61—22no—
675Q16×C61—22no—
676Q16×C61—41no—
677SD16×C61—22no—
678SD16×C61—22no—
679SD16×C61—22no—
680SD16×C61—22no—
681SD16×C61—41no—
682SD16×C61C2×D414yescomplemented
683M16×C61—22no—
684C2×C8×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×C61—21no—
693C4⋊C4×C61—21no—
694C4⋊C4×C61—21no—
695C4⋊C4×C61C2×D411yescharacteristic
696C4⋊C4×C61C2411yescharacteristic
697C4⋊C4×C61C2411yescharacteristic
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×C61—21no—
705C22⋊C4×C61C2×D411yescharacteristic
706C22⋊C4×C61C2×D411yescharacteristic
707C42×C61—21no—
708C42×C61C2411yescharacteristic
709C22⋊Dic61—21no—
710C22⋊Dic61—21no—
711C22⋊Dic61—21no—
712C22⋊Dic61C2×D411yescharacteristic
713C22⋊Dic61C2×D411yescharacteristic
714#11758202—22no—
715#11758202—41no—
716#11758201—22no—
717#11758201—22no—
718#11758201—22no—
719#11758201—22no—
720#11758201—22no—
721#11758201—22no—
722#11758201—22no—
723#11758201—41no—
724#11758201—41no—
725#11758201C2×D414yescomplemented
726#11758200—22no—
727#11758200—22no—
728#11758200—22no—
729#11758200C2×D414yescomplemented
730#11758199—22no—
731#11758199—41no—
732#11758198—21no—
733#11758198—21no—
734#11758198—21no—
735#11758198—21no—
736#11758198—21no—
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#11758198C2×D411yescharacteristic
753#11758198C2×D411yescharacteristic
754#11758198C2×D411yescharacteristic
755#11758198C2×D411yescharacteristic
756#11758198C2×D411yescharacteristic
757#11758198C2×D411yescharacteristic
758C4⋊Dic61—21no—
759C4⋊Dic61—21no—
760C4⋊Dic61C2×D411yescharacteristic
761C4⋊Dic61C2411yescharacteristic
762C4⋊Dic61C2411yescharacteristic
763#11758196—21no—
764#11758196—21no—
765#11758196—21no—
766#11758196—21no—
767#11758196—21no—
768#11758196—21no—
769#11758196—21no—
770#11758196—21no—
771#11758196C2×D411yescharacteristic
772#11758196C2×D411yescharacteristic
773#11758196C2×D411yescharacteristic
774#11758196C2×D411yescharacteristic
775C4×Dic61—21no—
776C4×Dic61—21no—
777C4×Dic61—21no—
778C4×Dic61—21no—
779C4×Dic61—21no—
780C4×Dic61C2411yescharacteristic
781C2×#92418—22no—
782C2×#92418—22no—
783C2×#92418C2411yescharacteristic
784C2×#92418C2411yescharacteristic
785C2×#92418C2411yescharacteristic
786C2×#92418C2411yescharacteristic
787D488—22no—
788D488—22no—
789D488—41no—
790#11758190—22no—
791#11758190—22no—
792#11758190—22no—
793#11758190—22no—
794#11758190—41no—
795#11758190C2×D414yescomplemented
796#11758189—22no—
797#11758189—22no—
798#11758189—22no—
799C8×D61—22no—
800C8×D61—22no—
801C8×D61—22no—
802C8×D61—22no—
803C8×D61C2×D414yescomplemented
804C23×C61—21no—
805C23×C61—21no—
806C23×C61—42no—
807C23×C61—42no—
808C23×C61—81no—
809C23×C61C22×D411yescharacteristic
810C23×C61C22×D411yescharacteristic
811C22×D61—22no—
812C22×D61—22no—
813C22×D61—22no—
814C22×D61—21no—
815C22×D61—24no—
816C22×D61—21no—
817C22×D61—21no—
818C22×D61—21no—
819C22×D61—42no—
820C22×D61—42no—
821C22×D61—42no—
822C22×D61—42no—
823C22×D61—42no—
824C22×D61—42no—
825C22×D61—42no—
826C22×D61—42no—
827C22×D61—42no—
828C22×D61—81no—
829C22×D61—81no—
830C22×D61—81no—
831C22×D61—81no—
832C22×D61—81no—
833C22×D61—81no—
834C22×D61—81no—
835C22×D61—81no—
836C22×D61—816no—
837C22×D61—81no—
838C22×D61—81no—
839C22×D61—81no—
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—21no—
849Q8×C61—21no—
850Q8×C61—42no—
851Q8×C61—42no—
852Q8×C61C22×D412yes—
853D4×C61—22no—
854D4×C61—21no—
855D4×C61—21no—
856D4×C61—21no—
857D4×C61—42no—
858D4×C61—42no—
859D4×C61—81no—
860D4×C61C22×D412yes—
861C2×C4×C61—21no—
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—22no—
881C22⋊D61—22no—
882C22⋊D61—22no—
883C22⋊D61—22no—
884C22⋊D61—24no—
885C22⋊D61—42no—
886C22⋊D61—42no—
887C22⋊D61—42no—
888C22⋊D61—42no—
889C22⋊D61—42no—
890C22⋊D61—42no—
891C22⋊D61—42no—
892C22⋊D61—81no—
893C22⋊D61—81no—
894C22⋊D61—81no—
895C22⋊D61—81no—
896C2×Dic61—21no—
897C2×Dic61—22no—
898C2×Dic61—21no—
899C2×Dic61—21no—
900C2×Dic61—21no—
901C2×Dic61—42no—
902C2×Dic61—81no—
903C2×Dic61C22×D411yescharacteristic
904C2×Dic61C22×D411yescharacteristic
905C2×Dic61C22×D411yescharacteristic
906C2×Dic61C22×D411yescharacteristic
907C2×Dic61C22×D411yescharacteristic
908D244—22no—
909D244—22no—
910D244—21no—
911D244—21no—
912D244—21no—
913D244—21no—
914D244—21no—
915D244—21no—
916D244—21no—
917D244—42no—
918D244—42no—
919D244—42no—
920D244—42no—
921D244—42no—
922D244—42no—
923D244—42no—
924D244—42no—
925D244—81no—
926D244—81no—
927D244—81no—
928D244C22×D412yes—
929C4×D61—22no—
930C4×D61—24no—
931C4×D61—21no—
932C4×D61—21no—
933C4×D61—21no—
934C4×D61—21no—
935C4×D61—22no—
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—42no—
945C4×D61—81no—
946C4×D61—81no—
947C4×D61C22×D412yes—
948C4×D61H(5,𝔽2)12yes—
949Dic122—21no—
950Dic122—24no—
951Dic122—22no—
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—
968#61050—611nomaximal, Sylow
969C22×C61—21no—
970C22×C61—21no—
971C22×C61—21no—
972C22×C61—22no—
973C22×C61—21no—
974C22×C61—21no—
975C22×C61—41no—
976C22×C61—41no—
977C22×C61—41no—
978C22×C61—41no—
979C22×C61—41no—
980C22×C61—84no—
981C22×C61#57712yescomplemented
982C22×C61C23×D411yescharacteristic
983C2×D61—28no—
984C2×D61—21no—
985C2×D61—21no—
986C2×D61—21no—
987C2×D61—21no—
988C2×D61—21no—
989C2×D61—22no—
990C2×D61—21no—
991C2×D61—21no—
992C2×D61—41no—
993C2×D61—41no—
994C2×D61—41no—
995C2×D61—41no—
996C2×D61—41no—
997C2×D61—41no—
998C2×D61—41no—
999C2×D61—41no—
1000C2×D61—41no—
1001C2×D61—41no—
1002C2×D61—41no—
1003C2×D61—84no—
1004C2×D61—84no—
1005C2×D61—84no—
1006C2×D61—84no—
1007C2×D61—84no—
1008C2×D61—162no—
1009C2×D61—162no—
1010C2×D61D4212yes—
1011C2×D61#57712yescomplemented
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×C61—41no—
1022C4×C61C23×D411yescharacteristic
1023C4×C61C2×H(5,𝔽2)11yescharacteristic
1024Dic61—22no—
1025Dic61—21no—
1026Dic61—21no—
1027Dic61—21no—
1028Dic61—21no—
1029Dic61—41no—
1030Dic61—41no—
1031Dic61—41no—
1032Dic61D4212yes—
1033C2×#577—611no—
1034C23×SD16—611no—
1035#3486—611no—
1036#3484—611no—
1037#3282—611no—
1038#3282—611no—
1039#3282—611no—
1040#3282—611no—
1041D4×SD16—611no—
1042D4×SD16—611no—
1043D4×SD16—611no—
1044D4×SD16—611no—
1045#3266—611no—
1046#3266—611no—
1047#3266—611no—
1048#3266D6111yescharacteristic, complemented
1049#3265—611no—
1050#3265—611no—
1051#3265—611no—
1052#3265—611no—
1053#3154—611no—
1054#3057—611no—
1055#3050—611no—
1056#3043—611no—
1057#3042—611no—
1058#3010—611no—
1059#3009—611no—
1060#3004—611no—
1061#3003—611no—
1062#2949—611no—
1063#2929—611no—
1064C2×C61—22no—
1065C2×C61—42no—
1066C2×C61—41no—
1067C2×C61—81no—
1068C2×C61C2×D4211yescharacteristic
1069C2×C61C2×#57711yescharacteristic
1070C2×C61C2×#57711yescharacteristic
1071D61—22no—
1072D61—22no—
1073D61—41no—
1074D61—42no—
1075D61—81no—
1076D61—81no—
1077D61—81no—
1078C2×2−1+4—611no—
1079C2×H(5,𝔽2)—611no—
1080C23×Q8—611no—
1081C23×D4—611no—
1082#577—1228no—
1083C2×#137—611no—
1084C2×#137—611no—
1085C2×#137—611no—
1086C2×#137C2×D6111yescharacteristic, complemented
1087C2×AGL(1,ℤ/8)—611no—
1088C2×AGL(1,ℤ/8)—611no—
1089C2×AGL(1,ℤ/8)—611no—
1090C2×AGL(1,ℤ/8)—611no—
1091C2×#135—611no—
1092C2×#135—611no—
1093C2×#135—611no—
1094C22×SD16—611no—
1095C22×SD16—611no—
1096C22×SD16—611no—
1097C22×SD16—611no—
1098C22×SD16—611no—
1099C22×SD16—611no—
1100C22×SD16—611no—
1101C22×SD16—611no—
1102C22×SD16—611no—
1103C22×SD16—611no—
1104C22×SD16—611no—
1105C22×SD16—611no—
1106C22×SD16—611no—
1107C22×SD16—1228no—
1108C22×SD16C2×D6111yescharacteristic, complemented
1109C2×#131—611no—
1110C23×C8—611no—
1111D4×Q8—611no—
1112D4×Q8—611no—
1113D4×Q8—611no—
1114D4×Q8—1221no—
1115D4×Q8—1221no—
1116D4×Q8C2×D6111yescharacteristic, complemented
1117#548—611no—
1118#548—611no—
1119#548—611no—
1120#548—611no—
1121#548—1221no—
1122#548—1221no—
1123#546—611no—
1124#546—611no—
1125#546—611no—
1126#546—1221no—
1127#546—1221no—
1128#546C2×D6111yescharacteristic
1129D42—611no—
1130D42—611no—
1131D42—611no—
1132D42—611no—
1133D42—1221no—
1134D42—1221no—
1135#536—611no—
1136#536—611no—
1137#536—1221no—
1138#536—1221no—
1139#535—611no—
1140#535—611no—
1141#534—1221no—
1142#534—1221no—
1143#525—611no—
1144#525—611no—
1145#525—611no—
1146#525—1221no—
1147#525—1221no—
1148C2×#120—1221no—
1149C2×#120—1221no—
1150#519—611no—
1151#518—611no—
1152#497—611no—
1153#497C2×D6111yescharacteristic, complemented
1154#496—611no—
1155#496—611no—
1156#495—611no—
1157#495—611no—
1158#492—611no—
1159#492—611no—
1160#468—611no—
1161#468—611no—
1162#468—611no—
1163#468C2×D6111yescharacteristic, complemented
1164#467—611no—
1165#467C2×D6111yescharacteristic, complemented
1166#466—611no—
1167#466—611no—
1168#465—611no—
1169#465—611no—
1170#465—611no—
1171#465—611no—
1172#465—611no—
1173#465—611no—
1174#465—611no—
1175#465—611no—
1176#464—611no—
1177#464—611no—
1178#464—611no—
1179#464C2×D6111yescharacteristic, complemented
1180#463—611no—
1181#463—611no—
1182#463—611no—
1183#463—611no—
1184#461—611no—
1185#461—611no—
1186#461—611no—
1187#461C2×D6111yescharacteristic, complemented
1188#460—611no—
1189#460—611no—
1190#460—611no—
1191#460—611no—
1192#452—611no—
1193#452—611no—
1194#452—611no—
1195#452C2×D6111yescharacteristic, complemented
1196#451—611no—
1197#451—611no—
1198#451—611no—
1199#451C2×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#448—611no—
1213#448—611no—
1214#448—611no—
1215#448—611no—
1216#448—611no—
1217#448—611no—
1218#448—611no—
1219#448C2×D6111yescharacteristic, complemented
1220#447—611no—
1221#447—611no—
1222#447—611no—
1223#447—611no—
1224#440—611no—
1225#440—611no—
1226#440—611no—
1227#440C2×D6111yescharacteristic, complemented
1228C4×SD16—611no—
1229C4×SD16—611no—
1230C4×SD16—611no—
1231C4×SD16—611no—
1232#435—611no—
1233#435—611no—
1234#435—611no—
1235#435C2×D6111yescharacteristic, complemented
1236C8×D4—611no—
1237C8×D4—611no—
1238C8×D4—611no—
1239C8×D4—611no—
1240#427—611no—
1241#424—611no—
1242#419—611no—
1243#419—611no—
1244#418—611no—
1245#418—611no—
1246#416—611no—
1247#416—611no—
1248#408—611no—
1249#407—611no—
1250#405—611no—
1251C61#6105011yescharacteristic, complemented, Sylow
1252C25—1221no—
12532−1+4—1224no—
12542−1+4—2442no—
1255H(5,𝔽2)—1224no—
1256H(5,𝔽2)—2442no—
1257C2×#41—611no—
1258C2×#41—611no—
1259C2×#41—611no—
1260C2×#41—611no—
1261C2×#41—611no—
1262C2×#41—611no—
1263C2×#41—1221no—
1264C2×#41—1221no—
1265C2×#41—1221no—
1266C2×#41—1221no—
1267C2×#41C22×D6111yescharacteristic
1268C22×Q8—611no—
1269C22×Q8—611no—
1270C22×Q8—611no—
1271C22×Q8—611no—
1272C22×Q8—611no—
1273C22×Q8—611no—
1274C22×Q8—1221no—
1275C22×Q8—1221no—
1276C22×Q8—1221no—
1277C22×Q8—1221no—
1278C22×Q8—1224no—
1279C22×Q8—2442no—
1280C22×Q8C22×D6111yescharacteristic
1281C22×Q8C22×D6111yescharacteristic, complemented
1282C22×D4—611no—
1283C22×D4—611no—
1284C22×D4—611no—
1285C22×D4—611no—
1286C22×D4—611no—
1287C22×D4—611no—
1288C22×D4—611no—
1289C22×D4—1221no—
1290C22×D4—1221no—
1291C22×D4—1221no—
1292C22×D4—1221no—
1293C22×D4—1221no—
1294C22×D4—1224no—
1295C22×D4—1221no—
1296C22×D4—1221no—
1297C22×D4—1221no—
1298C22×D4—1221no—
1299C22×D4—1221no—
1300C22×D4—2442no—
1301C22×D4C22×D6111yescharacteristic
1302C23×C4—611no—
1303C23×C4—1221no—
1304#137—24no—
1305#137—1224no—
1306#137—1224no—
1307#137—2442no—
1308AGL(1,ℤ/8)—1224no—
1309AGL(1,ℤ/8)—1224no—
1310AGL(1,ℤ/8)—1224no—
1311AGL(1,ℤ/8)—2442no—
1312#135—1224no—
1313#135—1224no—
1314#135—1224no—
1315C2×Q16—611no—
1316C2×Q16—611no—
1317C2×Q16C22×D6111yescharacteristic, complemented
1318C2×Q16C22×D6111yescharacteristic, complemented
1319C2×Q16C22×D6111yescharacteristic, complemented
1320C2×SD16—24no—
1321C2×SD16—611no—
1322C2×SD16—611no—
1323C2×SD16—618no—
1324C2×SD16—611no—
1325C2×SD16—611no—
1326C2×SD16—611no—
1327C2×SD16—611no—
1328C2×SD16—611no—
1329C2×SD16—611no—
1330C2×SD16—611no—
1331C2×SD16—611no—
1332C2×SD16—611no—
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—1224no—
1343C2×SD16—1224no—
1344C2×SD16—1224no—
1345C2×SD16—1224no—
1346C2×SD16—1224no—
1347C2×SD16—1224no—
1348C2×SD16—1224no—
1349C2×SD16—1224no—
1350C2×SD16—1224no—
1351C2×SD16—1224no—
1352C2×SD16—1224no—
1353C2×SD16—1224no—
1354C2×SD16C22×D6111yescharacteristic
1355C2×SD16C22×D6111yescharacteristic
1356C2×SD16C22×D6111yescharacteristic
1357C2×SD16C22×D6111yescharacteristic
1358C2×SD16C22×D6111yescharacteristic
1359C2×SD16C22×D6111yescharacteristic
1360C2×D8—611no—
1361C2×D8—611no—
1362C2×D8—611no—
1363C2×D8—611no—
1364C2×D8—611no—
1365#131—1224no—
1366C2×M16—611no—
1367C2×M16—611no—
1368C2×M16—611no—
1369C2×M16C22×D6111yescharacteristic, complemented
1370C22×C8—611no—
1371C22×C8—611no—
1372C22×C8—611no—
1373C22×C8—611no—
1374C22×C8—611no—
1375C22×C8—611no—
1376C22×C8—611no—
1377C22×C8—1224no—
1378C22×C8C22×D6111yescharacteristic
1379C4⋊Q8—21no—
1380C4⋊Q8—611no—
1381C4⋊Q8—1221no—
1382C4⋊Q8—1221no—
1383C4⋊Q8—1221no—
1384C4⋊Q8—1221no—
1385C4⋊Q8C22×D6111yescharacteristic, complemented
1386#127—611no—
1387#127—611no—
1388#127—1221no—
1389#124—611no—
1390#124—611no—
1391#124—611no—
1392#124—1221no—
1393#124—1221no—
1394#124—1221no—
1395#124—1221no—
1396#124—1221no—
1397#124—1221no—
1398#124C22×D6111yescharacteristic
1399#123—21no—
1400#123—611no—
1401#123—611no—
1402#123—1221no—
1403#123—1221no—
1404#123—1221no—
1405#123—1221no—
1406#123—1221no—
1407#123—1221no—
1408#123—1221no—
1409#123—1221no—
1410#123—1221no—
1411C22⋊Q8—21no—
1412C22⋊Q8—21no—
1413C22⋊Q8—611no—
1414C22⋊Q8—611no—
1415C22⋊Q8—611no—
1416C22⋊Q8—611no—
1417C22⋊Q8—611no—
1418C22⋊Q8—611no—
1419C22⋊Q8—611no—
1420C22⋊Q8—1221no—
1421C22⋊Q8—1221no—
1422C22⋊Q8—1221no—
1423C22⋊Q8—1221no—
1424C22⋊Q8—1221no—
1425C22⋊Q8—1221no—
1426C22⋊Q8—1221no—
1427C22⋊Q8—1221no—
1428C22⋊Q8—1221no—
1429C22⋊Q8—1221no—
1430C22⋊Q8—1221no—
1431C22⋊Q8—1221no—
1432C22⋊Q8C22×D6111yescharacteristic
1433C22⋊Q8C22×D6111yescharacteristic
1434C22⋊Q8C22×D6111yescharacteristic, complemented
1435#121—21no—
1436#121—611no—
1437#121—611no—
1438#121—611no—
1439#121—611no—
1440#121—611no—
1441#121—611no—
1442#121—611no—
1443#121—611no—
1444#121—611no—
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#121—1221no—
1454#121—1221no—
1455#121—1221no—
1456#121—1221no—
1457#121—1221no—
1458#121C22×D6111yescharacteristic
1459#120—21no—
1460#120—611no—
1461#120—611no—
1462#120—1221no—
1463#120—1221no—
1464#120—1221no—
1465#120—1221no—
1466#120—1221no—
1467#120—1221no—
1468#120—1221no—
1469#120—1221no—
1470#120—1221no—
1471#120—1221no—
1472#120—1221no—
1473#120—1221no—
1474#120—1221no—
1475#120—1221no—
1476#120—1221no—
1477#120—1221no—
1478#120—1221no—
1479C4×Q8—611no—
1480C4×Q8—611no—
1481C4×Q8—611no—
1482C4×Q8—1221no—
1483C4×Q8—1221no—
1484C4×Q8C22×D6111yescharacteristic, complemented
1485C4×D4—21no—
1486C4×D4—611no—
1487C4×D4—611no—
1488C4×D4—611no—
1489C4×D4—611no—
1490C4×D4—611no—
1491C4×D4—611no—
1492C4×D4—1221no—
1493C4×D4—1221no—
1494C4×D4—1221no—
1495C4×D4—1221no—
1496C4×D4—1221no—
1497C4×D4—1221no—
1498C4×D4—1221no—
1499C4×D4—1221no—
1500C4×D4—1221no—
1501C4×D4—1221no—
1502C4×D4—1221no—
1503C4×D4—1221no—
1504C4×D4—1221no—
1505C4×D4C22×D6111yescharacteristic
1506C4×D4C22×D6111yescharacteristic
1507#117—611no—
1508#117—611no—
1509#117—611no—
1510#117—1221no—
1511#117—1221no—
1512C2×C22⋊C4—21no—
1513C2×C22⋊C4—1221no—
1514C2×C22⋊C4—1221no—
1515C2×C22⋊C4—1221no—
1516C2×C22⋊C4—1221no—
1517C2×C22⋊C4—1221no—
1518#107—611no—
1519#107C22×D6111yescharacteristic, complemented
1520#106—611no—
1521#106—611no—
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#103C22×D6111yescharacteristic, complemented
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#102—611no—
1548#102C22×D6111yescharacteristic
1549#102C22×D6111yescharacteristic
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
1558#97—611no—
1559#97C22×D6111yescharacteristic, complemented
1560C4×C8—611no—
1561C4×C8—611no—
1562C24—21no—
1563C24—611no—
1564C24—1221no—
1565C24—1221no—
1566C24—1221no—
1567C24—1221no—
1568C24—1221no—
1569C24—1221no—
1570C24—1221no—
1571C24—4882no—
1572C24—4882no—
1573C24—2444no—
1574#41—22no—
1575#41—41no—
1576#41—1222no—
1577#41—1222no—
1578#41—1222no—
1579#41—1222no—
1580#41—1222no—
1581#41—1222no—
1582#41—1222no—
1583#41—1222no—
1584#41—1222no—
1585#41—2441no—
1586#41—2444no—
1587#41—2444no—
1588#41—2444no—
1589#41—2441no—
1590#41—2441no—
1591#41—2444no—
1592C2×Q8—21no—
1593C2×Q8—21no—
1594C2×Q8—22no—
1595C2×Q8—22no—
1596C2×Q8—41no—
1597C2×Q8—41no—
1598C2×Q8—611no—
1599C2×Q8—614no—
1600C2×Q8—611no—
1601C2×Q8—611no—
1602C2×Q8—1221no—
1603C2×Q8—1221no—
1604C2×Q8—1221no—
1605C2×Q8—1221no—
1606C2×Q8—1221no—
1607C2×Q8—1222no—
1608C2×Q8—1222no—
1609C2×Q8—1222no—
1610C2×Q8—1222no—
1611C2×Q8—1221no—
1612C2×Q8—1222no—
1613C2×Q8—1222no—
1614C2×Q8—1222no—
1615C2×Q8—2441no—
1616C2×Q8—2444no—
1617C2×Q8—2444no—
1618C2×Q8—2441no—
1619C2×Q8—2441no—
1620C2×Q8—2441no—
1621C2×Q8—2444no—
1622C2×Q8—2444no—
1623C2×Q8C23×D6111yescharacteristic
1624C2×Q8C23×D6111yescharacteristic
1625C2×Q8C23×D6111yescharacteristic
1626C2×Q8C23×D6111yescharacteristic
1627C2×D4—22no—
1628C2×D4—21no—
1629C2×D4—21no—
1630C2×D4—21no—
1631C2×D4—41no—
1632C2×D4—614no—
1633C2×D4—611no—
1634C2×D4—611no—
1635C2×D4—611no—
1636C2×D4—611no—
1637C2×D4—611no—
1638C2×D4—611no—
1639C2×D4—611no—
1640C2×D4—611no—
1641C2×D4—611no—
1642C2×D4—611no—
1643C2×D4—1222no—
1644C2×D4—1222no—
1645C2×D4—1221no—
1646C2×D4—1221no—
1647C2×D4—1221no—
1648C2×D4—1221no—
1649C2×D4—1221no—
1650C2×D4—1221no—
1651C2×D4—1221no—
1652C2×D4—1222no—
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—1222no—
1663C2×D4—1222no—
1664C2×D4—1222no—
1665C2×D4—1221no—
1666C2×D4—1221no—
1667C2×D4—1221no—
1668C2×D4—1221no—
1669C2×D4—1221no—
1670C2×D4—1221no—
1671C2×D4—1221no—
1672C2×D4—1221no—
1673C2×D4—1221no—
1674C2×D4—4882no—
1675C2×D4—4882no—
1676C2×D4—4882no—
1677C2×D4—4882no—
1678C2×D4—2441no—
1679C2×D4—2441no—
1680C2×D4—2444no—
1681C2×D4—2441no—
1682C2×D4—2441no—
1683C2×D4—2441no—
1684C2×D4—2444no—
1685C2×D4—2444no—
1686C2×D4—2444no—
1687C2×D4—2444no—
1688C2×D4—2444no—
1689C2×D4D4×D6111yescharacteristic
1690C2×D4C23×D6111yescharacteristic
1691C2×D4C23×D6111yescharacteristic
1692C22×C4—21no—
1693C22×C4—21no—
1694C22×C4—21no—
1695C22×C4—21no—
1696C22×C4—611no—
1697C22×C4—611no—
1698C22×C4—611no—
1699C22×C4—611no—
1700C22×C4—611no—
1701C22×C4—611no—
1702C22×C4—1222no—
1703C22×C4—1222no—
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—1221no—
1716C22×C4—1221no—
1717C22×C4—1221no—
1718C22×C4—2444no—
1719C22×C4C23×D6111yescharacteristic
1720C22×C4C23×D6111yescharacteristic
1721Q16—22no—
1722Q16—22no—
1723Q16—41no—
1724Q16—1222no—
1725Q16—2441no—
1726SD16—22no—
1727SD16—22no—
1728SD16—22no—
1729SD16—22no—
1730SD16—41no—
1731SD16—614no—
1732SD16—614no—
1733SD16—614no—
1734SD16—1222no—
1735SD16—1222no—
1736SD16—1222no—
1737SD16—1222no—
1738SD16—1222no—
1739SD16—1222no—
1740SD16—1222no—
1741SD16—1222no—
1742SD16—1222no—
1743SD16—1222no—
1744SD16—1222no—
1745SD16—1222no—
1746SD16—1222no—
1747SD16—1222no—
1748SD16—2441no—
1749SD16—2441no—
1750SD16—2441no—
1751SD16D4×D6114yescomplemented
1752D8—1222no—
1753D8—1222no—
1754D8—1222no—
1755D8—2441no—
1756D8—2441no—
1757M16—22no—
1758M16—1222no—
1759M16—1222no—
1760M16—1222no—
1761C2×C8—22no—
1762C2×C8—611no—
1763C2×C8—614no—
1764C2×C8—611no—
1765C2×C8—611no—
1766C2×C8—611no—
1767C2×C8—1222no—
1768C2×C8—1222no—
1769C2×C8—1222no—
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—21no—
1781C4⋊C4—21no—
1782C4⋊C4—21no—
1783C4⋊C4—611no—
1784C4⋊C4—611no—
1785C4⋊C4—611no—
1786C4⋊C4—611no—
1787C4⋊C4—611no—
1788C4⋊C4—611no—
1789C4⋊C4—611no—
1790C4⋊C4—1221no—
1791C4⋊C4—1221no—
1792C4⋊C4—1221no—
1793C4⋊C4—1221no—
1794C4⋊C4—1221no—
1795C4⋊C4—1221no—
1796C4⋊C4—1221no—
1797C4⋊C4—1221no—
1798C4⋊C4—1221no—
1799C4⋊C4—1221no—
1800C4⋊C4D4×D6111yescharacteristic
1801C4⋊C4C23×D6111yescharacteristic
1802C4⋊C4C23×D6111yescharacteristic
1803C22⋊C4—21no—
1804C22⋊C4—21no—
1805C22⋊C4—21no—
1806C22⋊C4—21no—
1807C22⋊C4—21no—
1808C22⋊C4—21no—
1809C22⋊C4—21no—
1810C22⋊C4—611no—
1811C22⋊C4—611no—
1812C22⋊C4—611no—
1813C22⋊C4—611no—
1814C22⋊C4—611no—
1815C22⋊C4—611no—
1816C22⋊C4—611no—
1817C22⋊C4—611no—
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—1221no—
1846C42—1221no—
1847C42—1221no—
1848C42—1221no—
1849C42—1221no—
1850C42C23×D6111yescharacteristic
1851C23—21no—
1852C23—21no—
1853C23—42no—
1854C23—42no—
1855C23—81no—
1856C23—611no—
1857C23—611no—
1858C23—611no—
1859C23—1222no—
1860C23—1222no—
1861C23—1224no—
1862C23—1222no—
1863C23—1221no—
1864C23—1221no—
1865C23—1221no—
1866C23—1221no—
1867C23—4881no—
1868C23—4881no—
1869C23—4881no—
1870C23—4881no—
1871C23—4881no—
1872C23—4881no—
1873C23—4881no—
1874C23—4881no—
1875C23—4881no—
1876C23—4881no—
1877C23—4881no—
1878C23—48816no—
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—21no—
1896Q8—21no—
1897Q8—42no—
1898Q8—42no—
1899Q8—612no—
1900Q8—1224no—
1901Q8—1222no—
1902Q8—1221no—
1903Q8—1221no—
1904Q8—1221no—
1905Q8—2442no—
1906Q8—2442no—
1907Q8—2442no—
1908Q8—2442no—
1909Q8—2442no—
1910Q8C2×D4×D6112yes—
1911D4—22no—
1912D4—21no—
1913D4—21no—
1914D4—21no—
1915D4—42no—
1916D4—42no—
1917D4—81no—
1918D4—612no—
1919D4—1222no—
1920D4—1222no—
1921D4—1224no—
1922D4—1222no—
1923D4—1222no—
1924D4—1222no—
1925D4—1222no—
1926D4—1221no—
1927D4—1221no—
1928D4—1221no—
1929D4—1221no—
1930D4—1221no—
1931D4—1221no—
1932D4—1221no—
1933D4—4881no—
1934D4—4881no—
1935D4—4881no—
1936D4—4881no—
1937D4—4881no—
1938D4—4881no—
1939D4—4881no—
1940D4—2442no—
1941D4—2442no—
1942D4—2442no—
1943D4—2442no—
1944D4—2442no—
1945D4—2442no—
1946D4—2442no—
1947D4—2442no—
1948D4—2442no—
1949D4—2442no—
1950D4—2442no—
1951D4—2442no—
1952D4—2442no—
1953D4—2442no—
1954D4—2442no—
1955D4C2×D4×D6112yes—
1956C2×C4—21no—
1957C2×C4—21no—
1958C2×C4—21no—
1959C2×C4—21no—
1960C2×C4—21no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—21no—
1965C2×C4—21no—
1966C2×C4—42no—
1967C2×C4—42no—
1968C2×C4—42no—
1969C2×C4—81no—
1970C2×C4—611no—
1971C2×C4—612no—
1972C2×C4—612no—
1973C2×C4—611no—
1974C2×C4—611no—
1975C2×C4—611no—
1976C2×C4—611no—
1977C2×C4—1222no—
1978C2×C4—1222no—
1979C2×C4—1224no—
1980C2×C4—1222no—
1981C2×C4—1221no—
1982C2×C4—1221no—
1983C2×C4—1221no—
1984C2×C4—1221no—
1985C2×C4—1221no—
1986C2×C4—1221no—
1987C2×C4—1221no—
1988C2×C4—1221no—
1989C2×C4—4881no—
1990C2×C4—4881no—
1991C2×C4—4881no—
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—21no—
2018C22—22no—
2019C22—21no—
2020C22—21no—
2021C22—41no—
2022C22—41no—
2023C22—41no—
2024C22—41no—
2025C22—41no—
2026C22—84no—
2027C22—612no—
2028C22—612no—
2029C22—1228no—
2030C22—1221no—
2031C22—1221no—
2032C22—1221no—
2033C22—1221no—
2034C22—1221no—
2035C22—1222no—
2036C22—1221no—
2037C22—1221no—
2038C22—9762no—
2039C22—9762no—
2040C22—4884no—
2041C22—4884no—
2042C22—4884no—
2043C22—4884no—
2044C22—4884no—
2045C22—2441no—
2046C22—2441no—
2047C22—2441no—
2048C22—2441no—
2049C22—2441no—
2050C22—2441no—
2051C22—2441no—
2052C22—2441no—
2053C22—2441no—
2054C22—2441no—
2055C22—2441no—
2056C22#1684057112yescomplemented
2057C22C22×D4×D6111yescharacteristic
2058C4—21no—
2059C4—21no—
2060C4—22no—
2061C4—21no—
2062C4—21no—
2063C4—41no—
2064C4—41no—
2065C4—41no—
2066C4—41no—
2067C4—41no—
2068C4—612no—
2069C4—1221no—
2070C4—1221no—
2071C4—1222no—
2072C4—1221no—
2073C4—1221no—
2074C4—2441no—
2075C4—2441no—
2076C4—2441no—
2077C4C22×D4×D6111yescharacteristic
2078C4H(5,𝔽2)×D6111yescharacteristic
2079C2—22no—
2080C2—41no—
2081C2—42no—
2082C2—81no—
2083C2—1222no—
2084C2—1222no—
2085C2—4881no—
2086C2—4881no—
2087C2—4881no—
2088C2—2441no—
2089C2—2442no—
2090C2D42×D6111yescharacteristic
2091C2#577×D6111yescharacteristic
2092C2C2×#1684057111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3266C2
socleC22×C61C23×D4
hypercenter#3266D61
hypocenterC61#61050
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. C2×#16840571C2semidirect
2. C22×SD16×D61C2semidirect
3. #21459469C2semidirect
4. #21459449C2semidirect
5. #21457524C2semidirect
6. #21457522C2semidirect
7. #21457521C2semidirect
8. #21457519C2semidirect
9. #21457518C2semidirect
10. D4×#11758201C2semidirect
11. #21457513C2semidirect
12. #21457508C2semidirect
13. #21457328C2semidirect
14. #21457326C2semidirect
15. #21457323C2semidirect
16. #21457321C2semidirect
17. #21457319C2semidirect
18. #21457316C2semidirect
19. #21457314C2semidirect
20. #21456294C2semidirect
21. #21455456C2semidirect
22. #21455402C2semidirect
23. #21455338C2semidirect
24. #21455326C2semidirect
25. #21455100C2semidirect
26. #21455093C2semidirect
27. #21455054C2semidirect
28. #21455047C2semidirect
29. #21454675C2semidirect
30. #21454510C2semidirect
31. C61×#3266C2semidirect
32. C2×#14519825C22semidirect
34. C22×Q8×D61C22semidirect
37. C2×#14519809C22semidirect
38. C2×#14519809C22semidirect
39. C2×#14519809C22semidirect
40. C2×#14519805C22semidirect
42. C2×#14519804C22semidirect
43. C2×#14519804C22semidirect
44. C2×#14519800C22semidirect
45. C2×#14519800C22semidirect
46. C2×#14519797C22semidirect
47. C22×#11758190C22semidirect
48. C22×#11758200C22semidirect
49. C22×#11758201C22semidirect
50. C22×#11758201C22semidirect
54. C2×SD16×D61C22semidirect
55. C2×SD16×D61C22semidirect
56. C2×SD16×D61C22semidirect
57. C2×SD16×D61C22semidirect
58. C2×SD16×D61C22semidirect
59. C2×SD16×D61C22semidirect
60. C2×SD16×D61C22semidirect
61. C2×#14519785C22semidirect
62. C22×C8×D61C22semidirect
64. #16840427C22semidirect
65. Q8×C22⋊D61C22semidirect
67. #16840425C22semidirect
68. #16840424C22semidirect
69. #16840423C22semidirect
71. #16840422C22semidirect
73. #16840421C22semidirect
86. #16840337C22semidirect
88. #16840335C22semidirect
95. #16840275C22semidirect
100. #16840238C22semidirect
102. #16840155C22semidirect
103. #16840151C22semidirect
104. #16840148C22semidirect
105. #16840147C22semidirect
106. #16840144C22semidirect
107. #16840136C22semidirect
108. #16840133C22semidirect
109. #16840009C22semidirect
110. #16840008C22semidirect
111. #16840005C22semidirect
112. #16840000C22semidirect
113. #16839999C22semidirect
114. #16839998C22semidirect
115. #16839994C22semidirect
116. #16839994C22semidirect
117. #16839994C22semidirect
118. #16839993C22semidirect
119. #16839993C22semidirect
120. #16839993C22semidirect
121. #16839990C22semidirect
122. #16839989C22semidirect
123. #16839987C22semidirect
124. #16839986C22semidirect
125. #16839981C22semidirect
126. #16839980C22semidirect
127. #16839979C22semidirect
128. #16839978C22semidirect
129. #16839977C22semidirect
130. #16839966C22semidirect
131. #16839965C22semidirect
132. #16839964C22semidirect
133. #16839963C22semidirect
134. #16839962C22semidirect
135. #16839961C22semidirect
136. #16839960C22semidirect
137. #16839927C22semidirect
138. #16839924C22semidirect
139. #16839923C22semidirect
140. #16839917C22semidirect
141. #16839916C22semidirect
142. #16839916C22semidirect
143. #16839915C22semidirect
144. #16839914C22semidirect
145. #16839912C22semidirect
146. #16839912C22semidirect
147. #16839911C22semidirect
148. #16839911C22semidirect
149. #16839911C22semidirect
150. #16839910C22semidirect
151. #16839909C22semidirect
152. #16839906C22semidirect
153. #16839905C22semidirect
154. #16839903C22semidirect
155. #16839902C22semidirect
156. #16839902C22semidirect
157. #16839902C22semidirect
158. #16839901C22semidirect
159. #16839901C22semidirect
160. #16839899C22semidirect
161. #16839898C22semidirect
162. #16839897C22semidirect
163. #16839897C22semidirect
164. #16839896C22semidirect
165. #16839864C22semidirect
166. #16839863C22semidirect
167. #16839861C22semidirect
168. #16839853C22semidirect
169. C4×#11758201C22semidirect
170. C4×#11758200C22semidirect
171. #16839847C22semidirect
172. #16839835C22semidirect
173. #16839833C22semidirect
174. #16839831C22semidirect
175. D4×#92418C22semidirect
176. #16839827C22semidirect
177. #16839825C22semidirect
178. #16839825C22semidirect
179. #16839799C22semidirect
180. #16839787C22semidirect
181. #16839769C22semidirect
182. #16839769C22semidirect
184. #16839765C22semidirect
185. #16839757C22semidirect
186. #16839757C22semidirect
187. #16839727C22semidirect
188. #16839724C22semidirect
189. #16839719C22semidirect
190. C2×#137×C61C22semidirect
191. C22×SD16×C61C22semidirect
192. D4×Q8×C61C22semidirect
194. C61×#497C22semidirect
195. C61×#468C22semidirect
196. C61×#467C22semidirect
197. C61×#464C22semidirect
198. C61×#461C22semidirect
199. C61×#452C22semidirect
200. C61×#451C22semidirect
201. C61×#450C22semidirect
202. C61×#448C22semidirect
203. C61×#440C22semidirect
204. C61×#435C22semidirect
214. C2×#11758226C23semidirect
219. C2×#11758222C23semidirect
231. C2×Q8×D61C23semidirect
263. C2×#11758202C23semidirect
264. C2×#11758202C23semidirect
270. C2×#11758190C23semidirect
271. C2×#11758190C23semidirect
285. C2×#11758201C23semidirect
286. C2×#11758201C23semidirect
287. C2×#11758201C23semidirect
288. C2×#11758201C23semidirect
297. SD16×D61D4semidirect
300. C2×D488C23semidirect
306. C2×#11758189C23semidirect
308. C22×#92418C23semidirect
314. C2×C8×D61C23semidirect
319. #14519775C23semidirect
325. #14519766C23semidirect
327. #14519765C23semidirect
344. #14519757C23semidirect
346. #14519756C23semidirect
361. #14519753C23semidirect
403. Q8×Dic61C23semidirect
405. C4×Dic122C23semidirect
407. #14519742C23semidirect
437. #14519711C23semidirect
438. #14519708C23semidirect
439. #14519708C23semidirect
440. C4⋊#92418C23semidirect
441. #14519706C23semidirect
442. #14519706C23semidirect
443. #14519702C23semidirect
444. #14519702C23semidirect
445. #14519701C23semidirect
446. #14519701C23semidirect
447. #14519701C23semidirect
448. #14519701C23semidirect
449. #14519700C23semidirect
450. #14519700C23semidirect
453. #14519699C23semidirect
454. #14519699C23semidirect
459. #14519697C23semidirect
460. #14519697C23semidirect
462. C22⋊#92418C23semidirect
465. #14519689C23semidirect
466. #14519689C23semidirect
467. #14519687C23semidirect
468. C4×#92418C23semidirect
469. C8×Dic61C23semidirect
472. C22×Q8×C61C23semidirect
475. C2×Q16×C61C23semidirect
476. C2×Q16×C61C23semidirect
477. C2×Q16×C61C23semidirect
485. C2×M16×C61C23semidirect
488. C4⋊Q8×C61C23semidirect
495. C22⋊Q8×C61C23semidirect
499. C4×Q8×C61C23semidirect
504. #107×C61C23semidirect
505. C4⋊C8×C61C23semidirect
506. #103×C61C23semidirect
507. #103×C61C23semidirect
508. #103×C61C23semidirect
509. #103×C61C23semidirect
513. C22⋊C8×C61C23semidirect
514. #97×C61C23semidirect
595. Q8×D61C2×D4semidirect
682. SD16×C61C2×D4semidirect
725. #11758201C2×D4semidirect
729. #11758200C2×D4semidirect
795. #11758190C2×D4semidirect
803. C8×D61C2×D4semidirect
981. C22×C61#577semidirect
1011. C2×D61#577semidirect
1048. #3266D61semidirect
1086. C2×#137C2×D61semidirect
1108. C22×SD16C2×D61semidirect
1116. D4×Q8C2×D61semidirect
1153. #497C2×D61semidirect
1163. #468C2×D61semidirect
1165. #467C2×D61semidirect
1179. #464C2×D61semidirect
1187. #461C2×D61semidirect
1195. #452C2×D61semidirect
1199. #451C2×D61semidirect
1207. #450C2×D61semidirect
1219. #448C2×D61semidirect
1227. #440C2×D61semidirect
1235. #435C2×D61semidirect
1251. C61#61050semidirect
1281. C22×Q8C22×D61semidirect
1317. C2×Q16C22×D61semidirect
1318. C2×Q16C22×D61semidirect
1319. C2×Q16C22×D61semidirect
1369. C2×M16C22×D61semidirect
1385. C4⋊Q8C22×D61semidirect
1434. C22⋊Q8C22×D61semidirect
1484. C4×Q8C22×D61semidirect
1519. #107C22×D61semidirect
1525. C4⋊C8C22×D61semidirect
1534. #103C22×D61semidirect
1535. #103C22×D61semidirect
1536. #103C22×D61semidirect
1537. #103C22×D61semidirect
1557. C22⋊C8C22×D61semidirect
1559. #97C22×D61semidirect
1751. SD16D4×D61semidirect
2056. C22#16840571semidirect

Maximal subgroups

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

subgroupindex
C2×#168405712
C22×SD16×D612
#214594692
#214594492
#214575242
#214575222
#214575212
#214575192
#214575182
D4×#117582012
#214575132
#214575082
#214573282
#214573262
#214573232
#214573212
#214573192
#214573162
#214573142
#214562942
#214554562
#214554022
#214553382
#214553262
#214551002
#214550932
#214550542
#214550472
#214546752
#214545102
C61×#32662
#6105061