Finite Group Databasebeta

← #30551978

Subgroups — #30551978

Order 15616.

2040 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459609C211yesmaximal, characteristic, complemented
2#21459250C211yesmaximal, characteristic, complemented
3#21456934C211yesmaximal, characteristic, complemented
4#21456929C211yesmaximal, characteristic, complemented
5#21456917C211yesmaximal, characteristic, complemented
6#21456914C211yesmaximal, characteristic, complemented
7#21456898C211yesmaximal, characteristic, complemented
8#21456897C211yesmaximal, characteristic, complemented
9#21456887C211yesmaximal, characteristic, complemented
10#21456886C211yesmaximal, characteristic, complemented
11#21456861C211yesmaximal, characteristic, complemented
12#21456858C211yesmaximal, characteristic, complemented
13#21456820C211yesmaximal, characteristic, complemented
14#21456788C211yesmaximal, characteristic, complemented
15#21456784C211yesmaximal, characteristic, complemented
16#21456774C211yesmaximal, characteristic, complemented
17#21456771C211yesmaximal, characteristic, complemented
18#21456311C211yesmaximal, characteristic, complemented
19#21456294C211yesmaximal, characteristic, complemented
20#21456181C211yesmaximal, characteristic, complemented
21#21456170C211yesmaximal, characteristic, complemented
22#21455310C211yesmaximal, characteristic, complemented
23#21455289C211yesmaximal, characteristic, complemented
24#21455273C211yesmaximal, characteristic, complemented
25#464×D61C211yesmaximal, characteristic, complemented
26#21455135C211yesmaximal, characteristic, complemented
27#21455124C211yesmaximal, characteristic, complemented
28#21455109C211yesmaximal, characteristic, complemented
29#21455091C211yesmaximal, characteristic, complemented
30#21454486C211yesmaximal, characteristic, complemented
31C61×#3215C211yesmaximal, characteristic, complemented
32C2×#14519825C2211yescharacteristic
33C2×#14519822C2211yescharacteristic
34C2×#14519809C2211yescharacteristic, complemented
35C2×#14519809C2211yescharacteristic, complemented
36C2×#14519806C2211yescharacteristic
37C2×#14519804C2211yescharacteristic
38C2×#14519800C2211yescharacteristic, complemented
39C2×#14519798C2211yescharacteristic
40C2×Q16×D61C2211yescharacteristic, complemented
41C2×SD16×D61C2211yescharacteristic
42#16840420—21no—
43#16840420—21no—
44#16840405—21no—
45#16840405—21no—
46#16840402—21no—
47#16840402—21no—
48#16840402—21no—
49#16840402—21no—
50#16840389C2211yescharacteristic, complemented
51#16840386C2211yescharacteristic, complemented
52#16840385C2211yescharacteristic, complemented
53#16840382—21no—
54#16840373C2211yescharacteristic, complemented
55#16840372C2211yescharacteristic, complemented
56#16840371—21no—
57#16840360—21no—
58#16840358—21no—
59#16840342C2211yescharacteristic
60#16840337C2211yescharacteristic, complemented
61#16840336C2211yescharacteristic
62#16840335C2211yescharacteristic
63#16840332C2211yescharacteristic
64#16840332C2211yescharacteristic
65#16840330C2211yescharacteristic
66#16840330C2211yescharacteristic
67#16840329C2211yescharacteristic
68#16840316—21no—
69#16840316C2211yescharacteristic, complemented
70#16840312C2211yescharacteristic
71#16840311C2211yescharacteristic
72#16840311C2211yescharacteristic
73#16840299—21no—
74#16840299C2211yescharacteristic, complemented
75#16840296C2211yescharacteristic, complemented
76#16840290—21no—
77#16840290—21no—
78#124×D61C2211yescharacteristic
79#124×D61C2211yescharacteristic
80C4×#11758226C2211yescharacteristic, complemented
81C4×#11758222C2211yescharacteristic
82C4×Q8×D61C2211yescharacteristic, complemented
83#16840156C2211yescharacteristic, complemented
84#16840155C2211yescharacteristic, complemented
85#16840155C2211yescharacteristic, complemented
86#16840153C2211yescharacteristic, complemented
87#16840151C2211yescharacteristic, complemented
88#16840148C2211yescharacteristic, complemented
89#16840147C2211yescharacteristic, complemented
90#16840144C2211yescharacteristic, complemented
91#16840144C2211yescharacteristic, complemented
92#16840143C2211yescharacteristic, complemented
93#16840141C2211yescharacteristic, complemented
94#16840140C2211yescharacteristic, complemented
95#16840136C2211yescharacteristic, complemented
96#16840133C2211yescharacteristic, complemented
97#16840131C2211yescharacteristic, complemented
98#16840129C2211yescharacteristic, complemented
99#16840127C2211yescharacteristic, complemented
100#16840125C2211yescharacteristic, complemented
101#16840123C2211yescharacteristic, complemented
102#16840120C2211yescharacteristic, complemented
103#16840118C2211yescharacteristic, complemented
104#16840116C2211yescharacteristic, complemented
105#16840116C2211yescharacteristic, complemented
106#16840115C2211yescharacteristic, complemented
107#16840114C2211yescharacteristic, complemented
108#16840111C2211yescharacteristic, complemented
109#16840110C2211yescharacteristic, complemented
110#16840107C2211yescharacteristic, complemented
111#16839987C2211yescharacteristic, complemented
112#16839986C2211yescharacteristic, complemented
113#16839986C2211yescharacteristic, complemented
114#16839985C2211yescharacteristic, complemented
115#16839985C2211yescharacteristic, complemented
116#16839984C2211yescharacteristic, complemented
117#16839984C2211yescharacteristic, complemented
118#16839984C2211yescharacteristic, complemented
119#16839984C2211yescharacteristic, complemented
120#16839983C2211yescharacteristic, complemented
121#16839982C2211yescharacteristic, complemented
122#16839982C2211yescharacteristic, complemented
123#16839981C2211yescharacteristic, complemented
124#16839981C2211yescharacteristic, complemented
125#16839980C2211yescharacteristic, complemented
126#16839978C2211yescharacteristic, complemented
127#16839978C2211yescharacteristic, complemented
128#16839976C2211yescharacteristic, complemented
129#16839974C2211yescharacteristic, complemented
130#16839974C2211yescharacteristic, complemented
131#16839971C2211yescharacteristic, complemented
132#16839970C2211yescharacteristic, complemented
133#16839970C2211yescharacteristic, complemented
134#16839966C2211yescharacteristic, complemented
135#16839961C2211yescharacteristic, complemented
136#16839960C2211yescharacteristic, complemented
137#16839960C2211yescharacteristic, complemented
138#16839956C2211yescharacteristic, complemented
139#16839927C2211yescharacteristic, complemented
140#16839926C2211yescharacteristic
141#16839926C2211yescharacteristic, complemented
142#16839925C2211yescharacteristic
143#16839923C2211yescharacteristic, complemented
144#16839923C2211yescharacteristic, complemented
145#16839922C2211yescharacteristic
146#16839922C2211yescharacteristic
147#16839922C2211yescharacteristic, complemented
148#16839922C2211yescharacteristic, complemented
149#16839921C2211yescharacteristic
150#16839921C2211yescharacteristic
151#16839919C2211yescharacteristic, complemented
152#16839918C2211yescharacteristic, complemented
153#16839916C2211yescharacteristic, complemented
154#16839916C2211yescharacteristic, complemented
155#16839914C2211yescharacteristic
156#16839913C2211yescharacteristic
157#16839911C2211yescharacteristic
158#16839911C2211yescharacteristic
159#16839910C2211yescharacteristic, complemented
160#16839909C2211yescharacteristic
161#16839909C2211yescharacteristic, complemented
162#16839908C2211yescharacteristic
163#16839902C2211yescharacteristic, complemented
164#16839901C2211yescharacteristic, complemented
165#16839897C2211yescharacteristic
166#16839896C2211yescharacteristic
167#16839824C2211yescharacteristic, complemented
168#16839824C2211yescharacteristic, complemented
169#16839820C2211yescharacteristic, complemented
170#16839820C2211yescharacteristic, complemented
171#16839818C2211yescharacteristic, complemented
172#16839815C2211yescharacteristic, complemented
173#16839814C2211yescharacteristic, complemented
174#16839784C2211yescharacteristic, complemented
175C4⋊C8×D61C2211yescharacteristic, complemented
176#16839769C2211yescharacteristic, complemented
177#16839765C2211yescharacteristic
178#16839762C2211yescharacteristic, complemented
179#16839760C2211yescharacteristic
180#16839757C2211yescharacteristic, complemented
181#16839755C2211yescharacteristic
182#103×D61C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic
184#16839727C2211yescharacteristic
185#16839727C2211yescharacteristic
186#16839719C2211yescharacteristic, complemented
187#16839719C2211yescharacteristic, complemented
188C61×#533C2211yescharacteristic, complemented
189C2×#124×C61C2211yescharacteristic
190C61×#497C2211yescharacteristic, complemented
191C61×#497C2211yescharacteristic, complemented
192C61×#489C2211yescharacteristic, complemented
193C61×#489C2211yescharacteristic, complemented
194C61×#464C2211yescharacteristic, complemented
195C61×#464C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#464C2211yescharacteristic, complemented
198C61×#451C2211yescharacteristic, complemented
199C61×#451C2211yescharacteristic, complemented
200C61×#450C2211yescharacteristic
201C61×#450C2211yescharacteristic
202C61×#432C2211yescharacteristic, complemented
203#14519825—42no—
204#14519825—42no—
205#14519822—42no—
206#14519822—42no—
207C2×#11758226—21no—
208C2×#11758226C2311yescharacteristic
209C2×#11758226C2311yescharacteristic
210C2×#11758226C2311yescharacteristic
211C2×#11758222—21no—
212C2×#11758222—21no—
213C2×#11758222C2311yescharacteristic
214C2×#11758222C2311yescharacteristic
215C2×#11758222C2311yescharacteristic
216C2×#11758224—21no—
217C2×#11758224C2311yescharacteristic
218C2×#11758224C2311yescharacteristic
219C2×Q8×D61—21no—
220C2×Q8×D61C2311yescharacteristic
221C2×Q8×D61C2311yescharacteristic
222C2×Q8×D61C2311yescharacteristic
223C22×C22⋊D61—21no—
224C22×C22⋊D61—21no—
225C2×D4×D61—21no—
226C2×D4×D61C2311yescharacteristic
227C2×D4×D61C2311yescharacteristic
228#14519809—42no—
229#14519809—42no—
230#14519806—42no—
231#14519804—42no—
232#14519800—42no—
233#14519798—42no—
234C2×Dic244C2311yescharacteristic
235C2×Dic244C2311yescharacteristic
236C2×#11758202C2311yescharacteristic
237C2×#11758202C2311yescharacteristic
238C2×#11758202C2311yescharacteristic
239C2×#11758202C2311yescharacteristic
240C2×#11758202C2311yescharacteristic
241C2×#11758202C2311yescharacteristic
242Q16×D61—42no—
243C2×#11758190C2311yescharacteristic
244C2×#11758190C2311yescharacteristic
245C2×#11758190C2311yescharacteristic
246C2×#11758190C2311yescharacteristic
247C2×#11758200C2311yescharacteristic
248C2×#11758200C2311yescharacteristic
249C2×#11758201C2311yescharacteristic
250C2×#11758201C2311yescharacteristic
251C2×#11758201C2311yescharacteristic
252C2×#11758201C2311yescharacteristic
253C2×#11758201C2311yescharacteristic
254C2×#11758201C2311yescharacteristic
255SD16×D61—42no—
256C2×D488C2311yescharacteristic
257C2×D488C2311yescharacteristic
258C2×#11758199C2311yescharacteristic
259C2×#11758199C2311yescharacteristic
260C2×#11758189C2311yescharacteristic
261C2×#11758189C2311yescharacteristic
262C2×C8×D61C2311yescharacteristic
263C2×C8×D61C2311yescharacteristic
264#14519777C2311yescharacteristic
265#14519776—21no—
266#14519776C2311yescharacteristic
267#14519775—21no—
268#14519775C2311yescharacteristic
269#14519775C2311yescharacteristic
270#14519775C2311yescharacteristic
271#14519774C2311yescharacteristic
272#14519773C2311yescharacteristic
273#14519773C2311yescharacteristic
274#14519772—21no—
275#14519772—21no—
276#14519772—21no—
277#14519772—21no—
278#14519772—21no—
279#14519771—21no—
280#14519770—21no—
281#14519770—21no—
282#14519769C2311yescharacteristic
283#14519768—21no—
284#14519768C2311yescharacteristic
285#14519767—21no—
286#14519767—21no—
287#14519767—21no—
288#14519767—21no—
289#14519767—21no—
290#14519766—21no—
291#14519766C2311yescharacteristic
292#14519766C2311yescharacteristic
293#14519766C2311yescharacteristic
294#14519765C2311yescharacteristic
295#14519765C2311yescharacteristic
296#14519765C2311yescharacteristic
297#14519764C2311yescharacteristic
298#14519764C2311yescharacteristic
299#14519763—21no—
300#14519763—21no—
301#14519763—21no—
302#14519763—21no—
303#14519763—21no—
304#14519763—21no—
305#14519762—21no—
306#14519762—21no—
307#14519762—21no—
308#14519762—21no—
309#14519762—21no—
310#14519760—21no—
311#14519760—21no—
312#14519760—21no—
313#14519759—21no—
314#14519759—21no—
315#14519759—21no—
316#14519759—21no—
317#14519759—21no—
318#14519759—21no—
319#14519757—21no—
320#14519757C2311yescharacteristic
321#14519756C2311yescharacteristic
322#14519755—21no—
323#14519755—21no—
324#14519755—21no—
325#14519755—21no—
326#14519755—21no—
327#14519754—21no—
328#14519754—21no—
329#14519754—21no—
330#14519754—21no—
331#14519753—21no—
332#14519753—21no—
333#14519753—21no—
334#14519753—21no—
335#14519753C2311yescharacteristic
336#14519753C2311yescharacteristic
337#14519752—21no—
338#14519752C2311yescharacteristic
339#14519751—21no—
340#14519751—21no—
341#14519751C2311yescharacteristic
342#14519750—21no—
343#14519750—21no—
344#14519750—21no—
345#14519750—21no—
346#14519750—21no—
347#14519750—21no—
348#14519750—21no—
349#14519750—21no—
350#14519750—21no—
351#14519750—21no—
352#14519748—21no—
353#14519748—21no—
354#14519747—21no—
355#14519747—21no—
356#14519747—21no—
357#14519747—21no—
358#14519746—21no—
359#14519746—21no—
360Q8×Dic61C2311yescharacteristic
361Q8×Dic61C2311yescharacteristic
362C4×Dic122—21no—
363C4×Dic122—21no—
364C4×Dic122D411yescharacteristic
365C4×Dic122D411yescharacteristic
366C4×Dic122C2311yescharacteristic
367#14519742—21no—
368#14519742C2311yescharacteristic
369C4×D244—21no—
370C4×D244—21no—
371C4×D244—21no—
372C4×D244—21no—
373C4×D244D411yescharacteristic
374C4×D244D411yescharacteristic
375C4×D244C2311yescharacteristic
376#14519739—21no—
377#14519739C2311yescharacteristic
378C4×C22⋊D61—21no—
379C4×C22⋊D61D411yescharacteristic
380C4×C22⋊D61D411yescharacteristic
381C4×C22⋊D61D411yescharacteristic
382C4×C22⋊D61D411yescharacteristic
383#14519737—21no—
384#14519737—21no—
385#14519737—21no—
386#14519737—21no—
387#14519736C2311yescharacteristic
388#14519735—21no—
389#14519735C2311yescharacteristic
390#14519734—21no—
391#14519734—21no—
392#14519734—21no—
393#14519734C2311yescharacteristic
394#14519734C2311yescharacteristic
395C4⋊C4×D61—21no—
396C4⋊C4×D61C2311yescharacteristic
397C22⋊C4×D61—21no—
398C22⋊C4×D61—21no—
399C22⋊C4×D61—21no—
400C22⋊C4×D61—21no—
401C42×D61—21no—
402C42×D61—21no—
403C42×D61C2311yescharacteristic
404C42×D61C2311yescharacteristic
405C4⋊#92418C2311yescharacteristic
406C4⋊#92418C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519706C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519687C2311yescharacteristic
442#14519687C2311yescharacteristic
443C4×#92418C2311yescharacteristic
444C4×#92418C2311yescharacteristic
445C8×Dic61C2311yescharacteristic
446C8×Dic61C2311yescharacteristic
447C22×Q8×C61C2311yescharacteristic
448C22×D4×C61C2311yescharacteristic
449C2×Q16×C61C2311yescharacteristic
450C2×Q16×C61C2311yescharacteristic
451C2×Q16×C61C2311yescharacteristic
452C2×Q16×C61C2311yescharacteristic
453C2×SD16×C61C2311yescharacteristic
454C2×SD16×C61C2311yescharacteristic
455C2×SD16×C61C2311yescharacteristic
456C2×SD16×C61C2311yescharacteristic
457C4⋊Q8×C61C2311yescharacteristic
458C4⋊Q8×C61C2311yescharacteristic
459#125×C61—21no—
460#124×C61—21no—
461#124×C61—21no—
462#124×C61C2311yescharacteristic
463#124×C61C2311yescharacteristic
464#124×C61C2311yescharacteristic
465#124×C61C2311yescharacteristic
466C22⋊Q8×C61—21no—
467C22⋊Q8×C61C2311yescharacteristic
468C22⋊Q8×C61C2311yescharacteristic
469C4×Q8×C61—21no—
470C4×Q8×C61C2311yescharacteristic
471C4×Q8×C61C2311yescharacteristic
472#117×C61—21no—
473C2×C22⋊C4×C61—21no—
474C2×C22⋊C4×C61—21no—
475C2×C42×C61C2311yescharacteristic
476C4⋊C8×C61C2311yescharacteristic
477C4⋊C8×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484#102×C61C2311yescharacteristic
485#102×C61C2311yescharacteristic
486C22⋊C8×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488#97×C61C2311yescharacteristic
489#97×C61C2311yescharacteristic
490C24×C61—21no—
491C23×D61—21no—
492C23×D61—21no—
493C2×Q8×C61—21no—
494C2×Q8×C61—21no—
495C2×Q8×C61—41no—
496C2×Q8×C61—41no—
497C2×Q8×C61C2411yescharacteristic
498C2×Q8×C61C2411yescharacteristic
499C2×Q8×C61C2411yescharacteristic
500C2×Q8×C61C2411yescharacteristic
501C2×D4×C61—21no—
502C2×D4×C61—41no—
503C2×D4×C61—41no—
504C2×D4×C61C2411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C22×C4×C61—21no—
507C22×C4×C61C2×D411yescharacteristic
508C22×C4×C61C2×D411yescharacteristic
509C22×C4×C61C2411yescharacteristic
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—44no—
522C2×C22⋊D61—44no—
523C2×C22⋊D61C2×D411yescharacteristic
524C2×C22⋊D61C2×D411yescharacteristic
525C22×Dic61—21no—
526C22×Dic61—21no—
527#11758226—22no—
528#11758226—22no—
529#11758226—22no—
530#11758226—22no—
531#11758226—41no—
532#11758226—41no—
533#11758226—44no—
534Q8×D61—22no—
535Q8×D61—22no—
536Q8×D61—22no—
537Q8×D61—22no—
538Q8×D61—41no—
539Q8×D61—41no—
540Q8×D61—44no—
541#11758224—22no—
542#11758224—22no—
543#11758224—41no—
544#11758224—41no—
545#11758224—44no—
546D4×D61—22no—
547D4×D61—22no—
548D4×D61—41no—
549D4×D61—41no—
550D4×D61—44no—
551#11758222—22no—
552#11758222—22no—
553#11758222—41no—
554#11758222—41no—
555#11758222—41no—
556#11758222—41no—
557#11758222—44no—
558#11758222—44no—
559C2×D244—21no—
560C2×D244—21no—
561C2×D244—21no—
562C2×D244—21no—
563C2×D244—21no—
564C2×D244—21no—
565C2×D244C2×D411yescharacteristic
566C2×D244C2411yescharacteristic
567C2×D244C2411yescharacteristic
568C2×D244C2411yescharacteristic
569C2×C4×D61—21no—
570C2×C4×D61—21no—
571C2×C4×D61—21no—
572C2×C4×D61—21no—
573C2×C4×D61—21no—
574C2×C4×D61—21no—
575C2×C4×D61—21no—
576C2×C4×D61—21no—
577C2×C4×D61—21no—
578C2×C4×D61—21no—
579C2×C4×D61—21no—
580C2×C4×D61C2×D411yescharacteristic
581C2×C4×D61C2×D411yescharacteristic
582C2×C4×D61C2×D411yescharacteristic
583C2×C4×D61C2×D411yescharacteristic
584C2×C4×D61C2411yescharacteristic
585C2×C4×D61C2411yescharacteristic
586C2×Dic122—21no—
587C2×Dic122—21no—
588C2×Dic122—21no—
589C2×Dic122—21no—
590C2×Dic122C2×D411yescharacteristic
591C2×Dic122C2411yescharacteristic
592C2×Dic122C2411yescharacteristic
593C2×Dic122C2411yescharacteristic
594Q16×C61—41no—
595Q16×C61—41no—
596Q16×C61—41no—
597Q16×C61—41no—
598SD16×C61—41no—
599SD16×C61—41no—
600SD16×C61—41no—
601SD16×C61—41no—
602C2×C8×C61C2411yescharacteristic
603C2×C8×C61C2411yescharacteristic
604C2×C8×C61C2411yescharacteristic
605C2×C8×C61C2411yescharacteristic
606C4⋊C4×C61—21no—
607C4⋊C4×C61—21no—
608C4⋊C4×C61—21no—
609C4⋊C4×C61—21no—
610C4⋊C4×C61—21no—
611C4⋊C4×C61—21no—
612C4⋊C4×C61—21no—
613C4⋊C4×C61C2411yescharacteristic
614C4⋊C4×C61C2411yescharacteristic
615C22⋊C4×C61—21no—
616C22⋊C4×C61—21no—
617C22⋊C4×C61—21no—
618C22⋊C4×C61—21no—
619C22⋊C4×C61—21no—
620C22⋊C4×C61—21no—
621C22⋊C4×C61—21no—
622C22⋊C4×C61—21no—
623C22⋊C4×C61—21no—
624C22⋊C4×C61—21no—
625C42×C61—21no—
626C42×C61—21no—
627C42×C61C2×D411yescharacteristic
628C42×C61C2×D411yescharacteristic
629C42×C61C2411yescharacteristic
630C42×C61C2411yescharacteristic
631C22⋊Dic61—21no—
632C22⋊Dic61—21no—
633C22⋊Dic61—21no—
634C22⋊Dic61—21no—
635C22⋊Dic61—21no—
636C22⋊Dic61C2×D411yescharacteristic
637C22⋊Dic61C2×D411yescharacteristic
638#11758202—41no—
639#11758202—41no—
640#11758202—41no—
641#11758202—41no—
642#11758202—41no—
643#11758202—41no—
644#11758201—41no—
645#11758201—41no—
646#11758201—41no—
647#11758201—41no—
648#11758201—41no—
649#11758201—41no—
650#11758200—41no—
651#11758200—41no—
652#11758199—41no—
653#11758199—41no—
654#11758198—21no—
655#11758198—21no—
656#11758198—21no—
657#11758198—21no—
658#11758198—21no—
659#11758198—21no—
660#11758198—21no—
661#11758198—21no—
662#11758198—21no—
663#11758198—21no—
664#11758198—21no—
665#11758198—21no—
666#11758198—21no—
667#11758198—21no—
668#11758198—21no—
669#11758198—21no—
670#11758198—21no—
671#11758198—21no—
672#11758198—21no—
673#11758198—21no—
674#11758198C2×D411yescharacteristic
675#11758198C2×D411yescharacteristic
676#11758198C2×D411yescharacteristic
677#11758198C2×D411yescharacteristic
678C4⋊Dic61—21no—
679C4⋊Dic61—21no—
680C4⋊Dic61—21no—
681C4⋊Dic61—21no—
682C4⋊Dic61—21no—
683C4⋊Dic61—21no—
684C4⋊Dic61C2×D411yescharacteristic
685C4⋊Dic61C2×D411yescharacteristic
686C4⋊Dic61C2411yescharacteristic
687C4⋊Dic61C2411yescharacteristic
688#11758196—21no—
689#11758196—21no—
690#11758196—21no—
691#11758196—21no—
692#11758196—21no—
693#11758196—21no—
694#11758196—21no—
695#11758196—21no—
696#11758196—21no—
697#11758196—21no—
698#11758196—21no—
699#11758196—21no—
700#11758196—21no—
701#11758196—21no—
702#11758196—21no—
703#11758196—21no—
704#11758196C2×D411yescharacteristic
705#11758196C2×D411yescharacteristic
706#11758196C2×D411yescharacteristic
707#11758196C2×D411yescharacteristic
708C4×Dic61—21no—
709C4×Dic61—21no—
710C4×Dic61—21no—
711C4×Dic61—21no—
712C4×Dic61—21no—
713C4×Dic61C2×D411yescharacteristic
714C4×Dic61C2×D411yescharacteristic
715C4×Dic61C2×D411yescharacteristic
716C4×Dic61C2×D411yescharacteristic
717C4×Dic61C2411yescharacteristic
718C4×Dic61C2411yescharacteristic
719C2×#92418C2411yescharacteristic
720C2×#92418C2411yescharacteristic
721C2×#92418C2411yescharacteristic
722C2×#92418C2411yescharacteristic
723Dic244—41no—
724Dic244—41no—
725D488—41no—
726D488—41no—
727#11758190—41no—
728#11758190—41no—
729#11758190—41no—
730#11758190—41no—
731#11758189—22no—
732#11758189—22no—
733C8×D61—22no—
734C8×D61—22no—
735C23×C61—21no—
736C23×C61—21no—
737C23×C61—42no—
738C23×C61—81no—
739C23×C61—81no—
740C23×C61C22×D411yescharacteristic
741C22×D61—21no—
742C22×D61—21no—
743C22×D61—21no—
744C22×D61—42no—
745C22×D61—42no—
746C22×D61—81no—
747C22×D61—81no—
748C22×D61—81no—
749C22×D61—81no—
750C22×D61C22×D411yescharacteristic
751C22×D61C22×D411yescharacteristic
752Q8×C61—21no—
753Q8×C61—21no—
754Q8×C61—21no—
755Q8×C61—21no—
756Q8×C61—21no—
757Q8×C61—21no—
758Q8×C61—21no—
759Q8×C61—21no—
760Q8×C61—42no—
761Q8×C61—81no—
762D4×C61—21no—
763D4×C61—21no—
764D4×C61—21no—
765D4×C61—21no—
766D4×C61—42no—
767C2×C4×C61—21no—
768C2×C4×C61—21no—
769C2×C4×C61—21no—
770C2×C4×C61—21no—
771C2×C4×C61—21no—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
774C2×C4×C61—21no—
775C2×C4×C61—41no—
776C2×C4×C61—41no—
777C2×C4×C61—42no—
778C2×C4×C61C22×D411yescharacteristic
779C2×C4×C61C22×D411yescharacteristic
780C2×C4×C61C22×D411yescharacteristic
781C2×C4×C61C22×D411yescharacteristic
782C2×C4×C61C22×D411yescharacteristic
783C2×C4×C61C2511yescharacteristic
784C22⋊D61—22no—
785C22⋊D61—22no—
786C22⋊D61—42no—
787C22⋊D61—42no—
788C22⋊D61—42no—
789C22⋊D61—42no—
790C22⋊D61—42no—
791C22⋊D61—42no—
792C22⋊D61—81no—
793C22⋊D61—81no—
794C22⋊D61—81no—
795C22⋊D61—81no—
796C22⋊D61—81no—
797C2×Dic61—21no—
798C2×Dic61—21no—
799C2×Dic61—21no—
800C2×Dic61—21no—
801C2×Dic61—21no—
802C2×Dic61—42no—
803C2×Dic61—42no—
804C2×Dic61C22×D411yescharacteristic
805C2×Dic61C22×D411yescharacteristic
806C2×Dic61C22×D411yescharacteristic
807C2×Dic61C22×D411yescharacteristic
808C2×Dic61C22×D411yescharacteristic
809C2×Dic61C22×D411yescharacteristic
810D244—22no—
811D244—21no—
812D244—21no—
813D244—21no—
814D244—21no—
815D244—21no—
816D244—21no—
817D244—42no—
818D244—42no—
819D244—42no—
820D244—81no—
821D244—81no—
822D244—81no—
823C4×D61—21no—
824C4×D61—21no—
825C4×D61—41no—
826C4×D61—41no—
827C4×D61—41no—
828C4×D61—41no—
829C4×D61—42no—
830C4×D61—42no—
831C4×D61—42no—
832C4×D61—42no—
833C4×D61—42no—
834C4×D61—42no—
835C4×D61—42no—
836C4×D61—42no—
837C4×D61—42no—
838C4×D61—81no—
839C4×D61—81no—
840C4×D61H(5,𝔽2)12yes—
841C4×D61H(5,𝔽2)12yes—
842Dic122—22no—
843Dic122—21no—
844Dic122—21no—
845Dic122—21no—
846Dic122—21no—
847Dic122—21no—
848Dic122—21no—
849Dic122—42no—
850Dic122—42no—
851Dic122—42no—
852Dic122—81no—
853C8×C61—21no—
854C8×C61—21no—
855C8×C61—21no—
856C8×C61—21no—
857#92418—21no—
858#92418—21no—
859#92418—21no—
860#92418—21no—
861#60835—611nomaximal, Sylow
862C22×C61—21no—
863C22×C61—21no—
864C22×C61—21no—
865C22×C61—41no—
866C22×C61—41no—
867C22×C61—41no—
868C22×C61—41no—
869C22×C61—41no—
870C22×C61—41no—
871C22×C61—162no—
872C22×C61C23×D411yescharacteristic
873C2×D61—21no—
874C2×D61—21no—
875C2×D61—21no—
876C2×D61—21no—
877C2×D61—21no—
878C2×D61—41no—
879C2×D61—41no—
880C2×D61—41no—
881C2×D61—41no—
882C2×D61—41no—
883C2×D61—41no—
884C2×D61—41no—
885C2×D61—41no—
886C2×D61—41no—
887C2×D61—162no—
888C2×D61—162no—
889C2×D61#53512yes—
890C4×C61—21no—
891C4×C61—21no—
892C4×C61—21no—
893C4×C61—21no—
894C4×C61—21no—
895C4×C61—41no—
896C4×C61—41no—
897C4×C61—41no—
898C4×C61—41no—
899C4×C61—41no—
900C4×C61—41no—
901C4×C61C2×H(5,𝔽2)11yescharacteristic
902C4×C61C2×H(5,𝔽2)11yescharacteristic
903Dic61—21no—
904Dic61—21no—
905Dic61—21no—
906Dic61—21no—
907Dic61—21no—
908Dic61—41no—
909Dic61—41no—
910Dic61—41no—
911Dic61—41no—
912Dic61—41no—
913Dic61#53512yes—
914#3500—611no—
915#3461—611no—
916#3225—611no—
917#3225—611no—
918#3224—611no—
919#3224—611no—
920#3223—611no—
921#3223—611no—
922#3222—611no—
923#3222—611no—
924#3219—611no—
925#3219—611no—
926#3215—611no—
927#3215D6111yescharacteristic, complemented
928#3211—611no—
929#3211—611no—
930#3210—611no—
931#3210—611no—
932#3156—611no—
933#3154—611no—
934#3137—611no—
935#3136—611no—
936#3040—611no—
937#3037—611no—
938#3035—611no—
939C2×#464—611no—
940#3013—611no—
941#3012—611no—
942#3011—611no—
943#3009—611no—
944#2925—611no—
945C2×C61—41no—
946C2×C61—81no—
947C2×C61—81no—
948C2×C61C2×#53511yescharacteristic
949C2×C61#358411yescharacteristic
950C2×C61#358611yescharacteristic
951D61—22no—
952D61—41no—
953D61—81no—
954D61—81no—
955D61—81no—
956C2×2−1+4—611no—
957C2×H(5,𝔽2)—611no—
958C2×#137—611no—
959C2×#137—611no—
960C2×#137—611no—
961C2×AGL(1,ℤ/8)—611no—
962C2×#135—611no—
963C2×#135—611no—
964C22×Q16—611no—
965C22×SD16—611no—
966#548—1221no—
967#548—1221no—
968#546—1221no—
969#546—1221no—
970#546—1221no—
971#546—1221no—
972#546—1221no—
973#546—1221no—
974#544—611no—
975#542—611no—
976#542—611no—
977#542—1221no—
978#541—611no—
979#541—611no—
980#541—1221no—
981#539—1221no—
982#539—1221no—
983#537—611no—
984#536—611no—
985#536—611no—
986#536—611no—
987#536—611no—
988#536—611no—
989#535—611no—
990#535—611no—
991#535—611no—
992#533—611no—
993#533—1221no—
994#533C2×D6111yescharacteristic, complemented
995#532—611no—
996#532—611no—
997#532—611no—
998#529—611no—
999#529—611no—
1000#529—1221no—
1001#529—1221no—
1002#529—1221no—
1003C2×#124—611no—
1004C2×#124—611no—
1005C2×#124C2×D6111yescharacteristic
1006C4×#41—611no—
1007C4×#41—611no—
1008C2×C4×Q8—611no—
1009#497—611no—
1010#497—611no—
1011#497—611no—
1012#497—611no—
1013#497C2×D6111yescharacteristic, complemented
1014#497C2×D6111yescharacteristic, complemented
1015#496—611no—
1016#496—611no—
1017#495—611no—
1018#495—611no—
1019#495—611no—
1020#495—611no—
1021#494—611no—
1022#494—611no—
1023#492—611no—
1024#492—611no—
1025#491—611no—
1026#491—611no—
1027#490—611no—
1028#490—611no—
1029#489—611no—
1030#489—611no—
1031#489C2×D6111yescharacteristic, complemented
1032#489C2×D6111yescharacteristic, complemented
1033#488—611no—
1034#488—611no—
1035#488—611no—
1036#488—611no—
1037#487—611no—
1038#487—611no—
1039#486—611no—
1040#486—611no—
1041#464—611no—
1042#464—611no—
1043#464—611no—
1044#464—611no—
1045#464—611no—
1046#464—611no—
1047#464—611no—
1048#464—611no—
1049#464—611no—
1050#464—611no—
1051#464—611no—
1052#464—611no—
1053#464—611no—
1054#464—611no—
1055#464C2×D6111yescharacteristic, complemented
1056#464C2×D6111yescharacteristic, complemented
1057#464C2×D6111yescharacteristic, complemented
1058#464C2×D6111yescharacteristic, complemented
1059#463—611no—
1060#463—611no—
1061#463—611no—
1062#463—611no—
1063#463—611no—
1064#463—611no—
1065#462—611no—
1066#462—611no—
1067#462—611no—
1068#461—611no—
1069#460—611no—
1070#460—611no—
1071#460—611no—
1072#459—611no—
1073#452—611no—
1074#452—611no—
1075#452—611no—
1076#452—611no—
1077#452—611no—
1078#452—611no—
1079#452—611no—
1080#452—611no—
1081#452—611no—
1082#452—611no—
1083#452—611no—
1084#452—611no—
1085#451—611no—
1086#451—611no—
1087#451—611no—
1088#451—611no—
1089#451C2×D6111yescharacteristic, complemented
1090#451C2×D6111yescharacteristic, complemented
1091#450—611no—
1092#450—611no—
1093#450—611no—
1094#450—611no—
1095#450C2×D6111yescharacteristic
1096#450C2×D6111yescharacteristic
1097#449—611no—
1098#449—611no—
1099#449—611no—
1100#449—611no—
1101#448—611no—
1102#448—611no—
1103#447—611no—
1104#447—611no—
1105#433—611no—
1106#433—611no—
1107#433—611no—
1108#433—611no—
1109#432—611no—
1110#432C2×D6111yescharacteristic, complemented
1111#431—611no—
1112#431—611no—
1113#423—611no—
1114C2×C4⋊C8—611no—
1115#419—611no—
1116#418—611no—
1117#417—611no—
1118#417—611no—
1119#416—611no—
1120#416—611no—
1121C2×#103—611no—
1122C2×#102—611no—
1123#408—611no—
1124#408—611no—
1125#405—611no—
1126#405—611no—
1127C61#6083511yescharacteristic, complemented, Sylow
11282−1+4—2442no—
11292−1+4—2442no—
1130H(5,𝔽2)—2442no—
1131H(5,𝔽2)—2442no—
1132C2×#41—611no—
1133C2×#41—611no—
1134C2×#41—611no—
1135C2×#41—611no—
1136C2×#41—611no—
1137C2×#41—611no—
1138C2×#41—611no—
1139C2×#41—611no—
1140C2×#41—1221no—
1141C2×#41—1221no—
1142C2×#41—1221no—
1143C2×#41—1221no—
1144C22×Q8—611no—
1145C22×Q8—611no—
1146C22×Q8—611no—
1147C22×Q8—1221no—
1148C22×Q8C22×D6111yescharacteristic
1149C22×D4—611no—
1150C22×D4—611no—
1151C22×D4—1221no—
1152C22×D4—1221no—
1153C22×D4—1221no—
1154C22×D4C22×D6111yescharacteristic
1155#137—2442no—
1156#137—2442no—
1157#137—2442no—
1158AGL(1,ℤ/8)—2442no—
1159#135—2442no—
1160#135—2442no—
1161C2×Q16—611no—
1162C2×Q16—611no—
1163C2×Q16—611no—
1164C2×Q16—611no—
1165C2×Q16—611no—
1166C2×Q16—611no—
1167C2×Q16—611no—
1168C2×Q16—611no—
1169C2×Q16—2442no—
1170C2×Q16C22×D6111yescharacteristic
1171C2×Q16C22×D6111yescharacteristic
1172C2×Q16C22×D6111yescharacteristic
1173C2×Q16C22×D6111yescharacteristic
1174C2×SD16—611no—
1175C2×SD16—611no—
1176C2×SD16—611no—
1177C2×SD16—611no—
1178C2×SD16—611no—
1179C2×SD16—611no—
1180C2×SD16—611no—
1181C2×SD16—611no—
1182C2×SD16—611no—
1183C2×SD16—611no—
1184C2×SD16—611no—
1185C2×SD16—611no—
1186C2×SD16—2442no—
1187C2×SD16C22×D6111yescharacteristic
1188C2×SD16C22×D6111yescharacteristic
1189C2×SD16C22×D6111yescharacteristic
1190C2×SD16C22×D6111yescharacteristic
1191C2×D8—611no—
1192C2×D8—611no—
1193C2×D8—611no—
1194C2×D8—611no—
1195C2×M16—611no—
1196C2×M16—611no—
1197C22×C8—611no—
1198C22×C8—611no—
1199C4⋊Q8—611no—
1200C4⋊Q8—611no—
1201C4⋊Q8—611no—
1202C4⋊Q8—611no—
1203C4⋊Q8—611no—
1204C4⋊Q8—1221no—
1205C4⋊Q8—1221no—
1206C4⋊Q8C22×D6111yescharacteristic
1207C4⋊Q8C22×D6111yescharacteristic
1208#127—611no—
1209#127—611no—
1210#127—611no—
1211#126—1221no—
1212#126—1221no—
1213#126—1221no—
1214#126—1221no—
1215#126—1221no—
1216#126—1221no—
1217#126—1221no—
1218#126—1221no—
1219#125—21no—
1220#125—611no—
1221#125—611no—
1222#125—1221no—
1223#125—1221no—
1224#125—1221no—
1225#125—1221no—
1226#125—1221no—
1227#125—1221no—
1228#124—21no—
1229#124—21no—
1230#124—611no—
1231#124—611no—
1232#124—611no—
1233#124—611no—
1234#124—611no—
1235#124—611no—
1236#124—611no—
1237#124—611no—
1238#124—1221no—
1239#124—1221no—
1240#124—1221no—
1241#124—1221no—
1242#124—1221no—
1243#124—1221no—
1244#124—1221no—
1245#124C22×D6111yescharacteristic
1246#124C22×D6111yescharacteristic
1247#124C22×D6111yescharacteristic
1248#124C22×D6111yescharacteristic
1249#123—1221no—
1250#123—1221no—
1251#123—1221no—
1252#123—1221no—
1253#123—1221no—
1254#123—1221no—
1255#123—1221no—
1256#123—1221no—
1257#123—1221no—
1258#123—1221no—
1259#123—1221no—
1260#123—1221no—
1261#123—1221no—
1262#123—1221no—
1263C22⋊Q8—21no—
1264C22⋊Q8—611no—
1265C22⋊Q8—611no—
1266C22⋊Q8—611no—
1267C22⋊Q8—611no—
1268C22⋊Q8—1221no—
1269C22⋊Q8—1221no—
1270C22⋊Q8—1221no—
1271C22⋊Q8—1221no—
1272C22⋊Q8—1221no—
1273C22⋊Q8—1221no—
1274C22⋊Q8—1221no—
1275C22⋊Q8—1221no—
1276C22⋊Q8—1221no—
1277C22⋊Q8—1221no—
1278C22⋊Q8—1221no—
1279C22⋊Q8—1221no—
1280C22⋊Q8—1221no—
1281C22⋊Q8—1221no—
1282C22⋊Q8C22×D6111yescharacteristic
1283C22⋊Q8C22×D6111yescharacteristic
1284#121—611no—
1285#121—611no—
1286#121—1221no—
1287#121—1221no—
1288#121—1221no—
1289#121—1221no—
1290#121—1221no—
1291#121—1221no—
1292#121—1221no—
1293#121—1221no—
1294#121—1221no—
1295#121—1221no—
1296#121—1221no—
1297#121—1221no—
1298#121—1221no—
1299#121—1221no—
1300#121—1221no—
1301#120—1221no—
1302#120—1221no—
1303#120—1221no—
1304#120—1221no—
1305#120—1221no—
1306#120—1221no—
1307C4×Q8—21no—
1308C4×Q8—611no—
1309C4×Q8—611no—
1310C4×Q8—611no—
1311C4×Q8—611no—
1312C4×Q8—611no—
1313C4×Q8—611no—
1314C4×Q8—1221no—
1315C4×Q8—1221no—
1316C4×Q8—1221no—
1317C4×Q8C22×D6111yescharacteristic
1318C4×Q8C22×D6111yescharacteristic
1319C4×D4—611no—
1320C4×D4—611no—
1321C4×D4—611no—
1322C4×D4—611no—
1323C4×D4—611no—
1324C4×D4—611no—
1325C4×D4—611no—
1326C4×D4—611no—
1327C4×D4—1221no—
1328C4×D4—1221no—
1329C4×D4—1221no—
1330C4×D4—1221no—
1331C4×D4—1221no—
1332C4×D4—1221no—
1333C4×D4—1221no—
1334C4×D4—1221no—
1335C4×D4—1221no—
1336C4×D4—1221no—
1337#117—21no—
1338#117—611no—
1339#117—611no—
1340#117—611no—
1341#117—611no—
1342#117—1221no—
1343#117—1221no—
1344#117—1221no—
1345#117—1221no—
1346C2×C4⋊C4—611no—
1347C2×C4⋊C4—1221no—
1348C2×C22⋊C4—21no—
1349C2×C22⋊C4—21no—
1350C2×C22⋊C4—1221no—
1351C2×C22⋊C4—1221no—
1352C2×C22⋊C4—1221no—
1353C2×C22⋊C4—1221no—
1354C2×C42—611no—
1355C2×C42—611no—
1356C2×C42—1221no—
1357C2×C42—1221no—
1358C2×C42C22×D6111yescharacteristic
1359C4⋊C8—611no—
1360C4⋊C8—611no—
1361C4⋊C8—611no—
1362C4⋊C8—611no—
1363C4⋊C8—611no—
1364C4⋊C8—611no—
1365C4⋊C8C22×D6111yescharacteristic
1366C4⋊C8C22×D6111yescharacteristic
1367#103—611no—
1368#103—611no—
1369#103—611no—
1370#103—611no—
1371#103—611no—
1372#103—611no—
1373#103—611no—
1374#103—611no—
1375#103—611no—
1376#103—611no—
1377#103—611no—
1378#103—611no—
1379#103C22×D6111yescharacteristic
1380#103C22×D6111yescharacteristic
1381#103C22×D6111yescharacteristic
1382#103C22×D6111yescharacteristic
1383#102—611no—
1384#102—611no—
1385#102—611no—
1386#102—611no—
1387#102—611no—
1388#102—611no—
1389#102—611no—
1390#102—611no—
1391#102—611no—
1392#102—611no—
1393#102—611no—
1394#102—611no—
1395#102C22×D6111yescharacteristic
1396#102C22×D6111yescharacteristic
1397#102C22×D6111yescharacteristic
1398#102C22×D6111yescharacteristic
1399C22⋊C8—611no—
1400C22⋊C8—611no—
1401C22⋊C8—611no—
1402C22⋊C8—611no—
1403C22⋊C8—611no—
1404C22⋊C8—611no—
1405C22⋊C8C22×D6111yescharacteristic
1406C22⋊C8C22×D6111yescharacteristic
1407#97—611no—
1408#97—611no—
1409#97C22×D6111yescharacteristic
1410#97C22×D6111yescharacteristic
1411C4×C8—611no—
1412C4×C8—611no—
1413C4×C8—611no—
1414C4×C8—611no—
1415C24—21no—
1416C24—1221no—
1417C24—1221no—
1418#41—1222no—
1419#41—1222no—
1420#41—1222no—
1421#41—1222no—
1422#41—1222no—
1423#41—1222no—
1424#41—1222no—
1425#41—1222no—
1426#41—2441no—
1427#41—2441no—
1428#41—2441no—
1429#41—2441no—
1430#41—2444no—
1431#41—2444no—
1432#41—2441no—
1433#41—2441no—
1434#41—2441no—
1435#41—2441no—
1436#41—2444no—
1437#41—2444no—
1438C2×Q8—21no—
1439C2×Q8—21no—
1440C2×Q8—41no—
1441C2×Q8—41no—
1442C2×Q8—611no—
1443C2×Q8—611no—
1444C2×Q8—611no—
1445C2×Q8—611no—
1446C2×Q8—1221no—
1447C2×Q8—1221no—
1448C2×Q8—1221no—
1449C2×Q8—1221no—
1450C2×Q8—1222no—
1451C2×Q8—1222no—
1452C2×Q8—1222no—
1453C2×Q8—1222no—
1454C2×Q8—2441no—
1455C2×Q8—2441no—
1456C2×Q8—2444no—
1457C2×Q8C23×D6111yescharacteristic
1458C2×Q8C23×D6111yescharacteristic
1459C2×Q8C23×D6111yescharacteristic
1460C2×Q8C23×D6111yescharacteristic
1461C2×D4—21no—
1462C2×D4—41no—
1463C2×D4—41no—
1464C2×D4—611no—
1465C2×D4—611no—
1466C2×D4—611no—
1467C2×D4—611no—
1468C2×D4—611no—
1469C2×D4—611no—
1470C2×D4—1221no—
1471C2×D4—1221no—
1472C2×D4—1221no—
1473C2×D4—1221no—
1474C2×D4—1222no—
1475C2×D4—1222no—
1476C2×D4—1221no—
1477C2×D4—1221no—
1478C2×D4—1221no—
1479C2×D4—1221no—
1480C2×D4—1221no—
1481C2×D4—1221no—
1482C2×D4—1221no—
1483C2×D4—1221no—
1484C2×D4—1221no—
1485C2×D4—1221no—
1486C2×D4—1221no—
1487C2×D4—1221no—
1488C2×D4—1221no—
1489C2×D4—2441no—
1490C2×D4—2441no—
1491C2×D4—2444no—
1492C2×D4—2444no—
1493C2×D4—2444no—
1494C2×D4C23×D6111yescharacteristic
1495C2×D4C23×D6111yescharacteristic
1496C22×C4—21no—
1497C22×C4—611no—
1498C22×C4—611no—
1499C22×C4—611no—
1500C22×C4—611no—
1501C22×C4—611no—
1502C22×C4—611no—
1503C22×C4—1221no—
1504C22×C4—1221no—
1505C22×C4—1221no—
1506C22×C4—1221no—
1507C22×C4—1221no—
1508C22×C4—1221no—
1509C22×C4—1221no—
1510C22×C4—1221no—
1511C22×C4—1221no—
1512C22×C4—1221no—
1513C22×C4—1221no—
1514C22×C4—1221no—
1515C22×C4—1221no—
1516C22×C4D4×D6111yescharacteristic
1517C22×C4D4×D6111yescharacteristic
1518C22×C4C23×D6111yescharacteristic
1519Q16—41no—
1520Q16—41no—
1521Q16—41no—
1522Q16—41no—
1523Q16—2441no—
1524Q16—2441no—
1525Q16—2441no—
1526Q16—2441no—
1527Q16—2441no—
1528Q16—2441no—
1529Q16—2441no—
1530Q16—2441no—
1531SD16—41no—
1532SD16—41no—
1533SD16—41no—
1534SD16—41no—
1535SD16—2441no—
1536SD16—2441no—
1537SD16—2441no—
1538SD16—2441no—
1539SD16—2441no—
1540SD16—2441no—
1541SD16—2441no—
1542SD16—2441no—
1543SD16—2441no—
1544SD16—2441no—
1545SD16—2441no—
1546SD16—2441no—
1547D8—2441no—
1548D8—2441no—
1549D8—2441no—
1550D8—2441no—
1551M16—1222no—
1552M16—1222no—
1553C2×C8—611no—
1554C2×C8—611no—
1555C2×C8—611no—
1556C2×C8—611no—
1557C2×C8—1222no—
1558C2×C8—1222no—
1559C2×C8C23×D6111yescharacteristic
1560C2×C8C23×D6111yescharacteristic
1561C2×C8C23×D6111yescharacteristic
1562C2×C8C23×D6111yescharacteristic
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—611no—
1571C4⋊C4—611no—
1572C4⋊C4—611no—
1573C4⋊C4—611no—
1574C4⋊C4—611no—
1575C4⋊C4—611no—
1576C4⋊C4—611no—
1577C4⋊C4—611no—
1578C4⋊C4—1221no—
1579C4⋊C4—1221no—
1580C4⋊C4—1221no—
1581C4⋊C4—1221no—
1582C4⋊C4—1221no—
1583C4⋊C4—1221no—
1584C4⋊C4—1221no—
1585C4⋊C4—1221no—
1586C4⋊C4—1221no—
1587C4⋊C4—1221no—
1588C4⋊C4—1221no—
1589C4⋊C4—1221no—
1590C4⋊C4—1221no—
1591C4⋊C4—1221no—
1592C4⋊C4—1221no—
1593C4⋊C4—1221no—
1594C4⋊C4—1221no—
1595C4⋊C4—1221no—
1596C4⋊C4—1221no—
1597C4⋊C4—1221no—
1598C4⋊C4—1221no—
1599C4⋊C4—1221no—
1600C4⋊C4C23×D6111yescharacteristic
1601C4⋊C4C23×D6111yescharacteristic
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—611no—
1613C22⋊C4—611no—
1614C22⋊C4—611no—
1615C22⋊C4—611no—
1616C22⋊C4—611no—
1617C22⋊C4—611no—
1618C22⋊C4—1221no—
1619C22⋊C4—1221no—
1620C22⋊C4—1221no—
1621C22⋊C4—1221no—
1622C22⋊C4—1221no—
1623C22⋊C4—1221no—
1624C22⋊C4—1221no—
1625C22⋊C4—1221no—
1626C22⋊C4—1221no—
1627C22⋊C4—1221no—
1628C22⋊C4—1221no—
1629C22⋊C4—1221no—
1630C22⋊C4—1221no—
1631C22⋊C4—1221no—
1632C22⋊C4—1221no—
1633C22⋊C4—1221no—
1634C22⋊C4—1221no—
1635C22⋊C4—1221no—
1636C22⋊C4—1221no—
1637C22⋊C4—1221no—
1638C22⋊C4—1221no—
1639C22⋊C4—1221no—
1640C22⋊C4—1221no—
1641C22⋊C4—1221no—
1642C22⋊C4—1221no—
1643C42—21no—
1644C42—21no—
1645C42—611no—
1646C42—611no—
1647C42—611no—
1648C42—611no—
1649C42—611no—
1650C42—611no—
1651C42—1221no—
1652C42—1221no—
1653C42—1221no—
1654C42—1221no—
1655C42—1221no—
1656C42D4×D6111yescharacteristic
1657C42D4×D6111yescharacteristic
1658C42C23×D6111yescharacteristic
1659C42C23×D6111yescharacteristic
1660C23—21no—
1661C23—21no—
1662C23—42no—
1663C23—81no—
1664C23—81no—
1665C23—611no—
1666C23—611no—
1667C23—1221no—
1668C23—1221no—
1669C23—1221no—
1670C23—4881no—
1671C23—4881no—
1672C23—4881no—
1673C23—4881no—
1674C23—2442no—
1675C23—2442no—
1676C23C2×D4×D6111yescharacteristic
1677Q8—21no—
1678Q8—21no—
1679Q8—21no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—42no—
1686Q8—81no—
1687Q8—1222no—
1688Q8—1221no—
1689Q8—1221no—
1690Q8—1221no—
1691Q8—1221no—
1692Q8—1221no—
1693Q8—1221no—
1694Q8—4881no—
1695Q8—2442no—
1696Q8—2442no—
1697Q8—2442no—
1698D4—21no—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—42no—
1703D4—1222no—
1704D4—1222no—
1705D4—1222no—
1706D4—1221no—
1707D4—1221no—
1708D4—1221no—
1709D4—1221no—
1710D4—1221no—
1711D4—1221no—
1712D4—4881no—
1713D4—4881no—
1714D4—4881no—
1715D4—4881no—
1716D4—4881no—
1717D4—4881no—
1718D4—4881no—
1719D4—4881no—
1720D4—2442no—
1721D4—2442no—
1722D4—2442no—
1723D4—2442no—
1724D4—2442no—
1725D4—2442no—
1726D4—2442no—
1727D4—2442no—
1728D4—2442no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—42no—
1740C2×C4—611no—
1741C2×C4—612no—
1742C2×C4—612no—
1743C2×C4—611no—
1744C2×C4—611no—
1745C2×C4—611no—
1746C2×C4—611no—
1747C2×C4—611no—
1748C2×C4—1221no—
1749C2×C4—1221no—
1750C2×C4—1221no—
1751C2×C4—1221no—
1752C2×C4—1221no—
1753C2×C4—1221no—
1754C2×C4—1221no—
1755C2×C4—4881no—
1756C2×C4—4881no—
1757C2×C4—2441no—
1758C2×C4—2441no—
1759C2×C4—2441no—
1760C2×C4—2441no—
1761C2×C4—2442no—
1762C2×C4—2442no—
1763C2×C4—2442no—
1764C2×C4—2442no—
1765C2×C4—2442no—
1766C2×C4—2442no—
1767C2×C4—2442no—
1768C2×C4—2442no—
1769C2×C4—2442no—
1770C2×C4—2442no—
1771C2×C4—2442no—
1772C2×C4C2×D4×D6111yescharacteristic
1773C2×C4C2×D4×D6111yescharacteristic
1774C2×C4C2×D4×D6111yescharacteristic
1775C2×C4C2×D4×D6111yescharacteristic
1776C2×C4C2×D4×D6111yescharacteristic
1777C2×C4C24×D6111yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—1221no—
1783C8—1221no—
1784C8—1221no—
1785C8—1221no—
1786C22—21no—
1787C22—21no—
1788C22—21no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—162no—
1796C22—612no—
1797C22—1221no—
1798C22—1221no—
1799C22—1221no—
1800C22—1221no—
1801C22—1221no—
1802C22—9762no—
1803C22—9762no—
1804C22—2441no—
1805C22—2441no—
1806C22—2441no—
1807C22—2441no—
1808C22—2441no—
1809C22—2441no—
1810C22—2441no—
1811C22—2441no—
1812C22—2441no—
1813C22C22×D4×D6111yescharacteristic
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—21no—
1818C4—21no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4—41no—
1825C4—612no—
1826C4—1221no—
1827C4—1221no—
1828C4—1221no—
1829C4—1221no—
1830C4—1221no—
1831C4—2441no—
1832C4—2441no—
1833C4—2441no—
1834C4—2441no—
1835C4—2441no—
1836C4H(5,𝔽2)×D6111yescharacteristic
1837C4H(5,𝔽2)×D6111yescharacteristic
1838C2—41no—
1839C2—81no—
1840C2—81no—
1841C2—1222no—
1842C2—4881no—
1843C2—4881no—
1844C2—4881no—
1845C2—2441no—
1846C2#535×D6111yescharacteristic
1847C2#2146059211yescharacteristic
1848C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3215C2
socleC22×C61C23×D4
hypercenter#3215D61
hypocenterC61#60835
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3215

Complements

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

NH ≅ G/Ntype
1. #21459609C2semidirect
2. #21459250C2semidirect
3. #21456934C2semidirect
4. #21456929C2semidirect
5. #21456917C2semidirect
6. #21456914C2semidirect
7. #21456898C2semidirect
8. #21456897C2semidirect
9. #21456887C2semidirect
10. #21456886C2semidirect
11. #21456861C2semidirect
12. #21456858C2semidirect
13. #21456820C2semidirect
14. #21456788C2semidirect
15. #21456784C2semidirect
16. #21456774C2semidirect
17. #21456771C2semidirect
18. #21456311C2semidirect
19. #21456294C2semidirect
20. #21456181C2semidirect
21. #21456170C2semidirect
22. #21455310C2semidirect
23. #21455289C2semidirect
24. #21455273C2semidirect
25. #464×D61C2semidirect
26. #21455135C2semidirect
27. #21455124C2semidirect
28. #21455109C2semidirect
29. #21455091C2semidirect
30. #21454486C2semidirect
31. C61×#3215C2semidirect
34. C2×#14519809C22semidirect
35. C2×#14519809C22semidirect
38. C2×#14519800C22semidirect
40. C2×Q16×D61C22semidirect
50. #16840389C22semidirect
51. #16840386C22semidirect
52. #16840385C22semidirect
54. #16840373C22semidirect
55. #16840372C22semidirect
60. #16840337C22semidirect
69. #16840316C22semidirect
74. #16840299C22semidirect
75. #16840296C22semidirect
80. C4×#11758226C22semidirect
82. C4×Q8×D61C22semidirect
83. #16840156C22semidirect
84. #16840155C22semidirect
85. #16840155C22semidirect
86. #16840153C22semidirect
87. #16840151C22semidirect
88. #16840148C22semidirect
89. #16840147C22semidirect
90. #16840144C22semidirect
91. #16840144C22semidirect
92. #16840143C22semidirect
93. #16840141C22semidirect
94. #16840140C22semidirect
95. #16840136C22semidirect
96. #16840133C22semidirect
97. #16840131C22semidirect
98. #16840129C22semidirect
99. #16840127C22semidirect
100. #16840125C22semidirect
101. #16840123C22semidirect
102. #16840120C22semidirect
103. #16840118C22semidirect
104. #16840116C22semidirect
105. #16840116C22semidirect
106. #16840115C22semidirect
107. #16840114C22semidirect
108. #16840111C22semidirect
109. #16840110C22semidirect
110. #16840107C22semidirect
111. #16839987C22semidirect
112. #16839986C22semidirect
113. #16839986C22semidirect
114. #16839985C22semidirect
115. #16839985C22semidirect
116. #16839984C22semidirect
117. #16839984C22semidirect
118. #16839984C22semidirect
119. #16839984C22semidirect
120. #16839983C22semidirect
121. #16839982C22semidirect
122. #16839982C22semidirect
123. #16839981C22semidirect
124. #16839981C22semidirect
125. #16839980C22semidirect
126. #16839978C22semidirect
127. #16839978C22semidirect
128. #16839976C22semidirect
129. #16839974C22semidirect
130. #16839974C22semidirect
131. #16839971C22semidirect
132. #16839970C22semidirect
133. #16839970C22semidirect
134. #16839966C22semidirect
135. #16839961C22semidirect
136. #16839960C22semidirect
137. #16839960C22semidirect
138. #16839956C22semidirect
139. #16839927C22semidirect
141. #16839926C22semidirect
143. #16839923C22semidirect
144. #16839923C22semidirect
147. #16839922C22semidirect
148. #16839922C22semidirect
151. #16839919C22semidirect
152. #16839918C22semidirect
153. #16839916C22semidirect
154. #16839916C22semidirect
159. #16839910C22semidirect
161. #16839909C22semidirect
163. #16839902C22semidirect
164. #16839901C22semidirect
167. #16839824C22semidirect
168. #16839824C22semidirect
169. #16839820C22semidirect
170. #16839820C22semidirect
171. #16839818C22semidirect
172. #16839815C22semidirect
173. #16839814C22semidirect
174. #16839784C22semidirect
175. C4⋊C8×D61C22semidirect
176. #16839769C22semidirect
178. #16839762C22semidirect
180. #16839757C22semidirect
182. #103×D61C22semidirect
186. #16839719C22semidirect
187. #16839719C22semidirect
188. C61×#533C22semidirect
190. C61×#497C22semidirect
191. C61×#497C22semidirect
192. C61×#489C22semidirect
193. C61×#489C22semidirect
194. C61×#464C22semidirect
195. C61×#464C22semidirect
196. C61×#464C22semidirect
197. C61×#464C22semidirect
198. C61×#451C22semidirect
199. C61×#451C22semidirect
202. C61×#432C22semidirect
927. #3215D61semidirect
994. #533C2×D61semidirect
1013. #497C2×D61semidirect
1014. #497C2×D61semidirect
1031. #489C2×D61semidirect
1032. #489C2×D61semidirect
1055. #464C2×D61semidirect
1056. #464C2×D61semidirect
1057. #464C2×D61semidirect
1058. #464C2×D61semidirect
1089. #451C2×D61semidirect
1090. #451C2×D61semidirect
1110. #432C2×D61semidirect
1127. C61#60835semidirect

Maximal subgroups

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

subgroupindex
#214596092
#214592502
#214569342
#214569292
#214569172
#214569142
#214568982
#214568972
#214568872
#214568862
#214568612
#214568582
#214568202
#214567882
#214567842
#214567742
#214567712
#214563112
#214562942
#214561812
#214561702
#214553102
#214552892
#214552732
#464×D612
#214551352
#214551242
#214551092
#214550912
#214544862
C61×#32152
#6083561