Finite Group Databasebeta

← #30575462

Subgroups — #30575462

Order 15616.

1778 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460380C211yesmaximal, characteristic, complemented
2#21459787C211yesmaximal, characteristic, complemented
3#21458853C211yesmaximal, characteristic, complemented
4#21458849C211yesmaximal, characteristic, complemented
5#21458650C211yesmaximal, characteristic, complemented
6#21458639C211yesmaximal, characteristic, complemented
7#21458042C211yesmaximal, characteristic, complemented
8#21458036C211yesmaximal, characteristic, complemented
9#21457931C211yesmaximal, characteristic, complemented
10#21457926C211yesmaximal, characteristic, complemented
11#21457877C211yesmaximal, characteristic, complemented
12#21457866C211yesmaximal, characteristic, complemented
13#21457468C211yesmaximal, characteristic, complemented
14#21457459C211yesmaximal, characteristic, complemented
15#21457374C211yesmaximal, characteristic, complemented
16#21457368C211yesmaximal, characteristic, complemented
17#21457344C211yesmaximal, characteristic, complemented
18#21457339C211yesmaximal, characteristic, complemented
19#21457250C211yesmaximal, characteristic, complemented
20#21457247C211yesmaximal, characteristic, complemented
21#21457211C211yesmaximal, characteristic, complemented
22#21456902C211yesmaximal, characteristic, complemented
23#21456901C211yesmaximal, characteristic, complemented
24#21456820C211yesmaximal, characteristic, complemented
25#21456096C211yesmaximal, characteristic, complemented
26#21456093C211yesmaximal, characteristic, complemented
27#21455978C211yesmaximal, characteristic, complemented
28#21455364C211yesmaximal, characteristic, complemented
29#21455308C211yesmaximal, characteristic, complemented
30#21454987C211yesmaximal, characteristic, complemented
31C61×#3046C211yesmaximal, characteristic, complemented
32C2×#14519806C2211yescharacteristic
33C2×#14519806C2211yescharacteristic, complemented
34C2×#14519801C2211yescharacteristic
35C2×#14519798C2211yescharacteristic
36#16840513—21no—
37#16840509—21no—
38#16840490C2211yescharacteristic, complemented
39#16840486C2211yescharacteristic
40#16840481C2211yescharacteristic
41#16840471C2211yescharacteristic, complemented
42#16840467C2211yescharacteristic, complemented
43#16840461—21no—
44#16840453C2211yescharacteristic
45#16840452—21no—
46#16840447C2211yescharacteristic
47#16840445—21no—
48#16840445—21no—
49#16840440—21no—
50#16840439—21no—
51#16840427C2211yescharacteristic
52Q8×C22⋊D61C2211yescharacteristic
53#16840423C2211yescharacteristic
54#16840419C2211yescharacteristic
55#16840416C2211yescharacteristic
56#16840411C2211yescharacteristic
57#16840411C2211yescharacteristic, complemented
58#16840405C2211yescharacteristic
59#16840400C2211yescharacteristic
60#16840387—21no—
61#16840383C2211yescharacteristic
62#16840382—21no—
63#16840381C2211yescharacteristic
64#16840380—21no—
65#16840374C2211yescharacteristic, complemented
66#16840370C2211yescharacteristic, complemented
67#16840359—21no—
68#16840354—21no—
69#16840348—21no—
70#16840337C2211yescharacteristic
71#16840317C2211yescharacteristic
72#16840316C2211yescharacteristic
73#16840292—21no—
74#16840290C2211yescharacteristic
75C2×#14519767—21no—
76#124×D61C2211yescharacteristic
77#16840241C2211yescharacteristic, complemented
78C4×#11758224C2211yescharacteristic
79#16840157C2211yescharacteristic
80#16840155C2211yescharacteristic
81#16840155C2211yescharacteristic
82#16840153C2211yescharacteristic
83#16840141C2211yescharacteristic, complemented
84#16840140C2211yescharacteristic, complemented
85#16840130C2211yescharacteristic, complemented
86#16840129C2211yescharacteristic, complemented
87#16840123C2211yescharacteristic
88#16840120C2211yescharacteristic
89#16840118C2211yescharacteristic
90#16840116C2211yescharacteristic
91#16840102C2211yescharacteristic
92#16840102C2211yescharacteristic
93#16840092C2211yescharacteristic, complemented
94#16840091C2211yescharacteristic, complemented
95#16840080C2211yescharacteristic
96#16840079C2211yescharacteristic
97#16840071C2211yescharacteristic, complemented
98#16840070C2211yescharacteristic, complemented
99#16840063C2211yescharacteristic
100#16840060C2211yescharacteristic
101#16840058C2211yescharacteristic, complemented
102#16840052C2211yescharacteristic, complemented
103#16840048C2211yescharacteristic, complemented
104#16840047C2211yescharacteristic, complemented
105#16840045C2211yescharacteristic, complemented
106#16840045C2211yescharacteristic, complemented
107#16840020C2211yescharacteristic, complemented
108#16840019C2211yescharacteristic
109#16840019C2211yescharacteristic
110#16840019C2211yescharacteristic, complemented
111#16840017C2211yescharacteristic
112#16840017C2211yescharacteristic
113#16840008C2211yescharacteristic
114#16840005C2211yescharacteristic
115#16840003C2211yescharacteristic, complemented
116#16840000C2211yescharacteristic, complemented
117#16839991C2211yescharacteristic
118#16839990C2211yescharacteristic
119#16839987C2211yescharacteristic
120#16839987C2211yescharacteristic
121#16839985C2211yescharacteristic
122#16839985C2211yescharacteristic
123#16839984C2211yescharacteristic
124#16839983C2211yescharacteristic
125#16839981C2211yescharacteristic
126#16839981C2211yescharacteristic
127#16839979C2211yescharacteristic
128#16839979C2211yescharacteristic
129#16839977C2211yescharacteristic
130#16839975C2211yescharacteristic
131#16839973C2211yescharacteristic, complemented
132#16839971C2211yescharacteristic, complemented
133#16839970C2211yescharacteristic, complemented
134#16839970C2211yescharacteristic, complemented
135#16839970C2211yescharacteristic, complemented
136#16839969C2211yescharacteristic, complemented
137#16839969C2211yescharacteristic, complemented
138#16839968C2211yescharacteristic
139#16839965C2211yescharacteristic
140#16839965C2211yescharacteristic, complemented
141#16839927C2211yescharacteristic
142#16839924C2211yescharacteristic
143#16839924C2211yescharacteristic
144#16839924C2211yescharacteristic, complemented
145#16839923C2211yescharacteristic
146#16839921C2211yescharacteristic
147#16839921C2211yescharacteristic
148#16839921C2211yescharacteristic, complemented
149#16839919C2211yescharacteristic
150#16839919C2211yescharacteristic, complemented
151#16839918C2211yescharacteristic, complemented
152#16839918C2211yescharacteristic, complemented
153#16839916C2211yescharacteristic
154#16839916C2211yescharacteristic, complemented
155#16839914C2211yescharacteristic
156#16839911C2211yescharacteristic
157#16839907C2211yescharacteristic
158#16839904C2211yescharacteristic
159#16839891C2211yescharacteristic, complemented
160#16839889C2211yescharacteristic, complemented
161#16839874C2211yescharacteristic
162#16839872C2211yescharacteristic
163#16839867C2211yescharacteristic, complemented
164#16839866C2211yescharacteristic, complemented
165#16839866C2211yescharacteristic, complemented
166#16839866C2211yescharacteristic, complemented
167#16839863C2211yescharacteristic, complemented
168#16839863C2211yescharacteristic, complemented
169#16839853C2211yescharacteristic
170SD16×Dic61C2211yescharacteristic, complemented
171C4×#11758201C2211yescharacteristic
172C4×#11758200C2211yescharacteristic, complemented
173#16839839C2211yescharacteristic
174#16839838C2211yescharacteristic
175#16839833C2211yescharacteristic
176#16839833C2211yescharacteristic, complemented
177#16839832C2211yescharacteristic
178#16839831C2211yescharacteristic, complemented
179#16839823C2211yescharacteristic, complemented
180#16839822C2211yescharacteristic, complemented
181#16839818C2211yescharacteristic
182#16839787C2211yescharacteristic, complemented
183#16839784C2211yescharacteristic
184#16839769C2211yescharacteristic
185#16839765C2211yescharacteristic
186#16839762C2211yescharacteristic
187#103×D61C2211yescharacteristic, complemented
188C2×#137×C61C2211yescharacteristic, complemented
189C2×#135×C61C2211yescharacteristic
190C61×#536C2211yescharacteristic
191C61×#520C2211yescharacteristic, complemented
192C61×#464C2211yescharacteristic
193C61×#464C2211yescharacteristic
194C61×#463C2211yescharacteristic
195C61×#463C2211yescharacteristic
196C61×#462C2211yescharacteristic, complemented
197C61×#462C2211yescharacteristic, complemented
198C61×#461C2211yescharacteristic, complemented
199C61×#461C2211yescharacteristic, complemented
200C61×#424C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic
202C2×#103×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C2×Q8×D61C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C2×D4×D61C2311yescharacteristic
209#14519806—42no—
210#14519806—42no—
211#14519801—42no—
212#14519798—42no—
213C2×Dic244C2311yescharacteristic
214C2×Dic244C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758190C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758200C2311yescharacteristic
225C2×#11758200C2311yescharacteristic
226C2×#11758200C2311yescharacteristic
227C2×#11758201C2311yescharacteristic
228C2×#11758199C2311yescharacteristic
229C2×#11758189C2311yescharacteristic
230C2×#11758189C2311yescharacteristic
231C2×#11758189C2311yescharacteristic
232C2×C8×D61C2311yescharacteristic
233#14519777C2311yescharacteristic
234#14519777C2311yescharacteristic
235#14519776—21no—
236#14519776C2311yescharacteristic
237#14519775—21no—
238#14519775C2311yescharacteristic
239#14519775C2311yescharacteristic
240#14519775C2311yescharacteristic
241#14519772—21no—
242#14519772—21no—
243#14519772—21no—
244#14519772—21no—
245#14519772—21no—
246#14519772D411yescharacteristic
247#14519771—21no—
248#14519771—21no—
249#14519770—21no—
250#14519770—21no—
251#14519770—21no—
252#14519770—21no—
253#14519770—21no—
254#14519770D411yescharacteristic
255#14519769—21no—
256#14519769—21no—
257#14519769C2311yescharacteristic
258#14519768—21no—
259#14519768C2311yescharacteristic
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767—21no—
267#14519767—21no—
268#14519767—21no—
269#14519767D411yescharacteristic
270#14519766—21no—
271#14519766C2311yescharacteristic
272#14519766C2311yescharacteristic
273#14519765C2311yescharacteristic
274#14519764—21no—
275#14519764C2311yescharacteristic
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763D411yescharacteristic
281#14519762—21no—
282#14519762—21no—
283#14519762—21no—
284#14519762D411yescharacteristic
285#14519761—21no—
286#14519761—21no—
287#14519761—21no—
288#14519760—21no—
289#14519760—21no—
290#14519760—21no—
291#14519760—21no—
292#14519759—21no—
293#14519759—21no—
294#14519759D411yescharacteristic
295#14519758—21no—
296#14519758—21no—
297#14519757—21no—
298#14519757—21no—
299#14519757C2311yescharacteristic
300#14519757C2311yescharacteristic
301#14519756—21no—
302#14519756—21no—
303#14519756—21no—
304#14519756—21no—
305#14519756C2311yescharacteristic
306#14519756C2311yescharacteristic
307#14519756C2311yescharacteristic
308#14519755—21no—
309#14519755—21no—
310#14519755—21no—
311#14519755—21no—
312#14519755—21no—
313#14519755—21no—
314#14519755—21no—
315#14519755D411yescharacteristic
316#14519754—21no—
317#14519754—21no—
318#14519754—21no—
319#14519754—21no—
320#14519753—21no—
321#14519753—21no—
322#14519753C2311yescharacteristic
323#14519753C2311yescharacteristic
324#14519753C2311yescharacteristic
325#14519753C2311yescharacteristic
326#14519753C2311yescharacteristic
327#14519751—21no—
328#14519751—21no—
329#14519751C2311yescharacteristic
330#14519750—21no—
331#14519750D411yescharacteristic
332#14519749—21no—
333#14519749—21no—
334#14519749—21no—
335#14519748—21no—
336#14519748C2311yescharacteristic
337#14519747—21no—
338#14519745—21no—
339Q8×Dic61C2311yescharacteristic
340Q8×Dic61C2311yescharacteristic
341Q8×Dic61C2311yescharacteristic
342C4×Dic122—21no—
343C4×Dic122—21no—
344C4×Dic122C2311yescharacteristic
345C4×Dic122C2311yescharacteristic
346C4×Dic122C2311yescharacteristic
347C4×Dic122C2311yescharacteristic
348#14519742—21no—
349#14519742C2311yescharacteristic
350#14519742C2311yescharacteristic
351C4×D244C2311yescharacteristic
352C4×D244C2311yescharacteristic
353D4×Dic61C2311yescharacteristic
354D4×Dic61C2311yescharacteristic
355D4×Dic61C2311yescharacteristic
356#14519739—21no—
357C4×C22⋊D61—21no—
358C4×C22⋊D61—21no—
359C4×C22⋊D61—21no—
360C4×C22⋊D61—21no—
361C4×C22⋊D61—21no—
362C4×C22⋊D61—21no—
363C4×C22⋊D61C2311yescharacteristic
364C4×C22⋊D61C2311yescharacteristic
365#14519737—21no—
366#14519737—21no—
367#14519736—21no—
368#14519735—21no—
369#14519735—21no—
370#14519735C2311yescharacteristic
371#14519734—21no—
372#14519734—21no—
373#14519734C2311yescharacteristic
374#14519733—21no—
375#14519733—21no—
376#14519733—21no—
377C2×C4⋊Dic61—21no—
378C2×#11758196—21no—
379C2×#11758196—21no—
380C2×#11758196—21no—
381C2×#11758196—21no—
382C4⋊C4×D61C2311yescharacteristic
383C2×#11758198—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61—21no—
387C2×C4×Dic61—21no—
388C42×D61C2311yescharacteristic
389#14519711C2311yescharacteristic
390#14519711C2311yescharacteristic
391#14519709C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428C22⋊#92418C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519688C2311yescharacteristic
434#14519687C2311yescharacteristic
435#14519687C2311yescharacteristic
436#14519687C2311yescharacteristic
437C4×#92418C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C2×#41×C61C2311yescharacteristic
440C2×#41×C61C2311yescharacteristic
441C22×Q8×C61C2311yescharacteristic
442#137×C61—42no—
443#135×C61—42no—
444C2×Q16×C61C2311yescharacteristic
445C2×Q16×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×SD16×C61C2311yescharacteristic
451C2×D8×C61C2311yescharacteristic
452C2×M16×C61C2311yescharacteristic
453C22×C8×C61C2311yescharacteristic
454C4⋊Q8×C61C2311yescharacteristic
455C4⋊Q8×C61C2311yescharacteristic
456#124×C61C2311yescharacteristic
457#124×C61C2311yescharacteristic
458#123×C61—21no—
459#123×C61—21no—
460C22⋊Q8×C61—21no—
461C22⋊Q8×C61—21no—
462C4×Q8×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×D4×C61—21no—
465C4×D4×C61—21no—
466C4×D4×C61C2311yescharacteristic
467C4×D4×C61C2311yescharacteristic
468#117×C61—21no—
469#117×C61C2311yescharacteristic
470C2×C4⋊C4×C61—21no—
471C2×C4⋊C4×C61C2311yescharacteristic
472C4⋊C8×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475C4⋊C8×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C23×D61—21no—
485#41×C61—22no—
486#41×C61—41no—
487#41×C61—41no—
488#41×C61—41no—
489C2×Q8×C61—21no—
490C2×Q8×C61—41no—
491C2×Q8×C61—41no—
492C2×Q8×C61C2411yescharacteristic
493C2×Q8×C61C2411yescharacteristic
494C2×Q8×C61C2411yescharacteristic
495C2×Q8×C61C2411yescharacteristic
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61C2411yescharacteristic
499C2×D4×C61C2411yescharacteristic
500C22×C4×C61—21no—
501C22×C4×C61—21no—
502C22×C4×C61—21no—
503C22×C4×C61—21no—
504C22×C4×C61—21no—
505C22×C4×C61—21no—
506C22×C4×C61C2411yescharacteristic
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61C2×D411yescharacteristic
513C2×C22⋊D61C2×D411yescharacteristic
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519#11758226—41no—
520#11758226—41no—
521Q8×D61—41no—
522Q8×D61—41no—
523Q8×D61—41no—
524Q8×D61—41no—
525#11758224—22no—
526#11758224—22no—
527#11758224—41no—
528#11758224—41no—
529D4×D61—41no—
530D4×D61—41no—
531C2×D244—21no—
532C2×D244C2×D411yescharacteristic
533C2×D244C2411yescharacteristic
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61C2×D411yescharacteristic
540C2×C4×D61C2×D411yescharacteristic
541C2×C4×D61C2411yescharacteristic
542C2×C4×D61C2411yescharacteristic
543C2×Dic122—21no—
544C2×Dic122—21no—
545C2×Dic122—21no—
546C2×Dic122—21no—
547C2×Dic122C2×D411yescharacteristic
548C2×Dic122C2411yescharacteristic
549C2×Dic122C2411yescharacteristic
550C2×Dic122C2411yescharacteristic
551Q16×C61—41no—
552Q16×C61—41no—
553Q16×C61—41no—
554SD16×C61—22no—
555SD16×C61—22no—
556SD16×C61—22no—
557SD16×C61—41no—
558D8×C61—22no—
559M16×C61—41no—
560C2×C8×C61—41no—
561C2×C8×C61C2411yescharacteristic
562C2×C8×C61C2411yescharacteristic
563C2×C8×C61C2411yescharacteristic
564C2×C8×C61C2411yescharacteristic
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61—21no—
570C4⋊C4×C61—21no—
571C4⋊C4×C61—21no—
572C4⋊C4×C61C2×D411yescharacteristic
573C4⋊C4×C61C2×D411yescharacteristic
574C4⋊C4×C61C2411yescharacteristic
575C4⋊C4×C61C2411yescharacteristic
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61C2×D411yescharacteristic
583C22⋊C4×C61C2×D411yescharacteristic
584C42×C61—21no—
585C42×C61—21no—
586C42×C61C2411yescharacteristic
587C42×C61C2411yescharacteristic
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61C2×D411yescharacteristic
598C22⋊Dic61C2×D411yescharacteristic
599#11758202—41no—
600#11758202—41no—
601#11758202—41no—
602#11758202—41no—
603#11758202—41no—
604#11758202—41no—
605#11758202—41no—
606#11758201—41no—
607#11758200—22no—
608#11758200—41no—
609#11758200—41no—
610#11758199—22no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198C2×D411yescharacteristic
628#11758198C2×D411yescharacteristic
629#11758198C2×D411yescharacteristic
630#11758198C2×D411yescharacteristic
631#11758198C2×D411yescharacteristic
632#11758198C2×D411yescharacteristic
633C4⋊Dic61—21no—
634C4⋊Dic61—21no—
635C4⋊Dic61—21no—
636C4⋊Dic61—21no—
637C4⋊Dic61—21no—
638C4⋊Dic61—21no—
639C4⋊Dic61—21no—
640C4⋊Dic61—21no—
641C4⋊Dic61—21no—
642C4⋊Dic61C2×D411yescharacteristic
643C4⋊Dic61C2×D411yescharacteristic
644C4⋊Dic61C2411yescharacteristic
645C4⋊Dic61C2411yescharacteristic
646C4⋊Dic61C2411yescharacteristic
647C4⋊Dic61C2411yescharacteristic
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676#11758196C2×D411yescharacteristic
677#11758196C2×D411yescharacteristic
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61C2×D411yescharacteristic
688C4×Dic61C2×D411yescharacteristic
689C4×Dic61C2411yescharacteristic
690C4×Dic61C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694C2×#92418C2411yescharacteristic
695Dic244—41no—
696Dic244—41no—
697#11758190—41no—
698#11758190—41no—
699#11758189—41no—
700#11758189—41no—
701#11758189—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61—21no—
705C23×C61C22×D411yescharacteristic
706C22×D61—21no—
707C22×D61—42no—
708C22×D61—81no—
709C22×D61—81no—
710C22×D61C22×D411yescharacteristic
711C22×D61C22×D411yescharacteristic
712Q8×C61—21no—
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—21no—
718Q8×C61—21no—
719Q8×C61—21no—
720Q8×C61—81no—
721D4×C61—21no—
722D4×C61—21no—
723D4×C61—21no—
724D4×C61—42no—
725D4×C61—81no—
726D4×C61H(5,𝔽2)12yes—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—42no—
736C2×C4×C61—81no—
737C2×C4×C61—81no—
738C2×C4×C61—81no—
739C2×C4×C61—81no—
740C2×C4×C61—81no—
741C2×C4×C61C22×D411yescharacteristic
742C2×C4×C61C22×D411yescharacteristic
743C2×C4×C61C22×D411yescharacteristic
744C2×C4×C61C22×D411yescharacteristic
745C2×C4×C61C22×D411yescharacteristic
746C2×C4×C61C2511yescharacteristic
747C22⋊D61—41no—
748C22⋊D61—41no—
749C22⋊D61—42no—
750C22⋊D61—42no—
751C22⋊D61—81no—
752C22⋊D61—81no—
753C22⋊D61—81no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—42no—
762C2×Dic61—42no—
763C2×Dic61—42no—
764C2×Dic61—81no—
765C2×Dic61—81no—
766C2×Dic61C22×D411yescharacteristic
767C2×Dic61C22×D411yescharacteristic
768C2×Dic61C22×D411yescharacteristic
769C2×Dic61C22×D411yescharacteristic
770C2×Dic61C22×D411yescharacteristic
771C2×Dic61C22×D411yescharacteristic
772D244—21no—
773D244—21no—
774D244—41no—
775D244—81no—
776C4×D61—21no—
777C4×D61—21no—
778C4×D61—21no—
779C4×D61—21no—
780C4×D61—41no—
781C4×D61—41no—
782C4×D61—81no—
783C4×D61—81no—
784C4×D61—81no—
785C4×D61—81no—
786C4×D61—81no—
787Dic122—21no—
788Dic122—21no—
789Dic122—21no—
790Dic122—21no—
791Dic122—21no—
792Dic122—21no—
793Dic122—41no—
794Dic122—81no—
795Dic122—81no—
796Dic122—81no—
797Dic122—81no—
798C8×C61—21no—
799C8×C61—21no—
800C8×C61—21no—
801C8×C61—21no—
802#92418—21no—
803#92418—21no—
804#92418—21no—
805#92418—21no—
806#62090—611nomaximal, Sylow
807C22×C61—21no—
808C22×C61—21no—
809C22×C61—22no—
810C22×C61—21no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61C23×D411yescharacteristic
817C2×D61—21no—
818C2×D61—21no—
819C2×D61—21no—
820C2×D61—21no—
821C2×D61—21no—
822C2×D61—21no—
823C2×D61—41no—
824C2×D61—41no—
825C2×D61—41no—
826C2×D61—162no—
827C4×C61—21no—
828C4×C61—21no—
829C4×C61—21no—
830C4×C61—21no—
831C4×C61—21no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61—41no—
837C4×C61—41no—
838C4×C61C2×H(5,𝔽2)11yescharacteristic
839C4×C61#58511yescharacteristic
840Dic61—21no—
841Dic61—21no—
842Dic61—21no—
843Dic61—21no—
844Dic61—21no—
845Dic61—21no—
846Dic61—41no—
847Dic61—41no—
848Dic61—41no—
849Dic61—41no—
850Dic61—41no—
851Dic61—41no—
852Dic61—41no—
853#3561—611no—
854#3515—611no—
855#3398—611no—
856#3398—611no—
857#3376—611no—
858#3376—611no—
859#3323—611no—
860#3323—611no—
861#3316—611no—
862#3316—611no—
863#3312—611no—
864#3312—611no—
865#3276—611no—
866#3276—611no—
867#3269—611no—
868#3269—611no—
869#3267—611no—
870#3267—611no—
871#3258—611no—
872#3258—611no—
873#3255—611no—
874#3223—611no—
875#3223—611no—
876#3215—611no—
877#3125—611no—
878#3125—611no—
879#3116—611no—
880#3046—611no—
881#3046D6111yescharacteristic, complemented
882#3040—611no—
883#2995—611no—
884C2×C61—41no—
885C2×C61—42no—
886C2×C61—81no—
887C2×C61#348811yescharacteristic
888C2×C61#358611yescharacteristic
889C2×C61#358611yescharacteristic
890D61—41no—
891D61—41no—
892D61—81no—
893C2×#137—611no—
894C2×#137—611no—
895C2×#137C2×D6111yescharacteristic, complemented
896C2×AGL(1,ℤ/8)—611no—
897C2×#135—611no—
898C2×#135C2×D6111yescharacteristic
899#563—1221no—
900#562—1221no—
901#557—611no—
902#556—611no—
903#556—611no—
904#554—611no—
905#554—611no—
906#553—1221no—
907#552—611no—
908#552—611no—
909#552—1221no—
910#552—1221no—
911#552—1221no—
912#551—1221no—
913#551—1221no—
914D4×Q8—611no—
915D4×Q8—611no—
916#548—611no—
917#548—611no—
918#547—611no—
919#547—611no—
920#547—611no—
921#546—611no—
922#546—611no—
923#543—1221no—
924#542—611no—
925#542—611no—
926#542—1221no—
927#542—1221no—
928#541—611no—
929#541—611no—
930#539—1221no—
931#539—1221no—
932#538—1221no—
933#536—611no—
934#536C2×D6111yescharacteristic
935#533—611no—
936#533—611no—
937#529—611no—
938#529—1221no—
939C2×#125—1221no—
940C2×#124—611no—
941#520—611no—
942#520C2×D6111yescharacteristic, complemented
943C4×#41—611no—
944#497—611no—
945#497—611no—
946#497—611no—
947#497—611no—
948#494—611no—
949#494—611no—
950#491—611no—
951#491—611no—
952#489—611no—
953#489—611no—
954#488—611no—
955#488—611no—
956#485—611no—
957#485—611no—
958#483—611no—
959#483—611no—
960#481—611no—
961#481—611no—
962#479—611no—
963#479—611no—
964#478—611no—
965#478—611no—
966#477—611no—
967#476—611no—
968#475—611no—
969#475—611no—
970#475—611no—
971#475—611no—
972#470—611no—
973#470—611no—
974#470—611no—
975#470—611no—
976#470—611no—
977#470—611no—
978#468—611no—
979#468—611no—
980#467—611no—
981#467—611no—
982#465—611no—
983#465—611no—
984#464—611no—
985#464—611no—
986#464—611no—
987#464—611no—
988#464—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#464C2×D6111yescharacteristic
993#464C2×D6111yescharacteristic
994#463—611no—
995#463—611no—
996#463—611no—
997#463—611no—
998#463C2×D6111yescharacteristic
999#463C2×D6111yescharacteristic
1000#462—611no—
1001#462—611no—
1002#462—611no—
1003#462—611no—
1004#462—611no—
1005#462—611no—
1006#462—611no—
1007#462C2×D6111yescharacteristic, complemented
1008#462C2×D6111yescharacteristic, complemented
1009#461—611no—
1010#461—611no—
1011#461—611no—
1012#461C2×D6111yescharacteristic, complemented
1013#461C2×D6111yescharacteristic, complemented
1014#452—611no—
1015#452—611no—
1016#452—611no—
1017#452—611no—
1018#452—611no—
1019#452—611no—
1020#452—611no—
1021#452—611no—
1022#451—611no—
1023#451—611no—
1024#451—611no—
1025#451—611no—
1026#451—611no—
1027#451—611no—
1028#450—611no—
1029#450—611no—
1030#449—611no—
1031#449—611no—
1032#446—611no—
1033#446—611no—
1034#442—611no—
1035#442—611no—
1036#441—611no—
1037#441—611no—
1038#441—611no—
1039#441—611no—
1040#440—611no—
1041#440—611no—
1042C4×SD16—611no—
1043C4×SD16—611no—
1044C4×SD16—611no—
1045C4×SD16—611no—
1046#436—611no—
1047#436—611no—
1048#435—611no—
1049#435—611no—
1050#435—611no—
1051#435—611no—
1052#433—611no—
1053#433—611no—
1054#432—611no—
1055#424—611no—
1056#424C2×D6111yescharacteristic, complemented
1057#423—611no—
1058#419—611no—
1059#418—611no—
1060#417—611no—
1061#417C2×D6111yescharacteristic
1062C2×#103—611no—
1063C2×#103C2×D6111yescharacteristic, complemented
1064C61#6209011yescharacteristic, complemented, Sylow
1065C2×#41—611no—
1066C2×#41—611no—
1067C2×#41—611no—
1068C2×#41C22×D6111yescharacteristic
1069C2×#41C22×D6111yescharacteristic
1070C22×Q8—611no—
1071C22×Q8—611no—
1072C22×Q8C22×D6111yescharacteristic
1073C22×D4—611no—
1074#137—42no—
1075#137—2442no—
1076#137—2442no—
1077AGL(1,ℤ/8)—2442no—
1078#135—42no—
1079#135—2442no—
1080C2×Q16—611no—
1081C2×Q16—611no—
1082C2×Q16—611no—
1083C2×Q16—611no—
1084C2×Q16—611no—
1085C2×Q16—611no—
1086C2×Q16—611no—
1087C2×Q16—611no—
1088C2×Q16—611no—
1089C2×Q16C22×D6111yescharacteristic
1090C2×Q16C22×D6111yescharacteristic
1091C2×Q16C22×D6111yescharacteristic
1092C2×SD16—611no—
1093C2×SD16—611no—
1094C2×SD16—611no—
1095C2×SD16—611no—
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16C22×D6111yescharacteristic
1099C2×SD16C22×D6111yescharacteristic
1100C2×SD16C22×D6111yescharacteristic
1101C2×SD16C22×D6111yescharacteristic
1102C2×D8—611no—
1103C2×D8C22×D6111yescharacteristic
1104C2×M16—611no—
1105C2×M16—611no—
1106C2×M16—611no—
1107C2×M16C22×D6111yescharacteristic
1108C22×C8—611no—
1109C22×C8C22×D6111yescharacteristic
1110C4⋊Q8—611no—
1111C4⋊Q8—611no—
1112C4⋊Q8—611no—
1113C4⋊Q8—611no—
1114C4⋊Q8—611no—
1115C4⋊Q8—611no—
1116C4⋊Q8—1221no—
1117C4⋊Q8—1221no—
1118C4⋊Q8C22×D6111yescharacteristic
1119C4⋊Q8C22×D6111yescharacteristic
1120#126—611no—
1121#126—611no—
1122#126—1221no—
1123#126—1221no—
1124#126—1221no—
1125#126—1221no—
1126#126—1221no—
1127#126—1221no—
1128#126—1221no—
1129#126—1221no—
1130#126—1221no—
1131#126—1221no—
1132#126—1221no—
1133#126—1221no—
1134#125—611no—
1135#125—611no—
1136#125—611no—
1137#125—1221no—
1138#125—1221no—
1139#125—1221no—
1140#125—1221no—
1141#125—1221no—
1142#125—1221no—
1143#125—1221no—
1144#125—1221no—
1145#125—1221no—
1146#125—1221no—
1147#125—1221no—
1148#125—1221no—
1149#124—611no—
1150#124—611no—
1151#124—611no—
1152#124—611no—
1153#124—611no—
1154#124—1221no—
1155#124—1221no—
1156#124—1221no—
1157#124—1221no—
1158#124—1221no—
1159#124—1221no—
1160#124C22×D6111yescharacteristic
1161#124C22×D6111yescharacteristic
1162#123—21no—
1163#123—21no—
1164#123—611no—
1165#123—611no—
1166#123—1221no—
1167#123—1221no—
1168#123—1221no—
1169#123—1221no—
1170#123—1221no—
1171#123—1221no—
1172#123—1221no—
1173#123—1221no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178#123—1221no—
1179#123—1221no—
1180C22⋊Q8—21no—
1181C22⋊Q8—21no—
1182C22⋊Q8—611no—
1183C22⋊Q8—611no—
1184C22⋊Q8—611no—
1185C22⋊Q8—611no—
1186C22⋊Q8—611no—
1187C22⋊Q8—611no—
1188C22⋊Q8—611no—
1189C22⋊Q8—611no—
1190C22⋊Q8—611no—
1191C22⋊Q8—611no—
1192C22⋊Q8—611no—
1193C22⋊Q8—1221no—
1194C22⋊Q8—1221no—
1195C22⋊Q8—1221no—
1196C22⋊Q8—1221no—
1197C22⋊Q8—1221no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8—1221no—
1205C22⋊Q8—1221no—
1206C22⋊Q8—1221no—
1207C22⋊Q8—1221no—
1208C22⋊Q8—1221no—
1209C22⋊Q8—1221no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212#121—611no—
1213#121—611no—
1214#121—611no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#120—1221no—
1223#120—1221no—
1224C4×Q8—611no—
1225C4×Q8—611no—
1226C4×Q8—611no—
1227C4×Q8—611no—
1228C4×Q8—611no—
1229C4×Q8—611no—
1230C4×Q8—611no—
1231C4×Q8—611no—
1232C4×Q8—611no—
1233C4×Q8—1221no—
1234C4×Q8—1221no—
1235C4×Q8—1221no—
1236C4×Q8C22×D6111yescharacteristic
1237C4×Q8C22×D6111yescharacteristic
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—611no—
1241C4×D4—611no—
1242C4×D4—611no—
1243C4×D4—611no—
1244C4×D4—611no—
1245C4×D4—611no—
1246C4×D4—611no—
1247C4×D4—1221no—
1248C4×D4—1221no—
1249C4×D4—1221no—
1250C4×D4—1221no—
1251C4×D4—1221no—
1252C4×D4—1221no—
1253C4×D4—1221no—
1254C4×D4—1221no—
1255C4×D4—1221no—
1256C4×D4C22×D6111yescharacteristic
1257C4×D4C22×D6111yescharacteristic
1258#117—21no—
1259#117—611no—
1260#117—611no—
1261#117—1221no—
1262#117—1221no—
1263#117—1221no—
1264#117—1221no—
1265#117—1221no—
1266#117—1221no—
1267#117—1221no—
1268#117—1221no—
1269#117C22×D6111yescharacteristic
1270C2×C4⋊C4—21no—
1271C2×C4⋊C4—611no—
1272C2×C4⋊C4—1221no—
1273C2×C4⋊C4—1221no—
1274C2×C4⋊C4—1221no—
1275C2×C4⋊C4—1221no—
1276C2×C4⋊C4—1221no—
1277C2×C4⋊C4C22×D6111yescharacteristic
1278C2×C22⋊C4—1221no—
1279C2×C22⋊C4—1221no—
1280C2×C22⋊C4—1221no—
1281C2×C22⋊C4—1221no—
1282C2×C42—611no—
1283C2×C42—1221no—
1284#107—611no—
1285#107—611no—
1286#106—611no—
1287#106—611no—
1288#106—611no—
1289#106—611no—
1290#106—611no—
1291#106—611no—
1292C4⋊C8—611no—
1293C4⋊C8—611no—
1294C4⋊C8—611no—
1295C4⋊C8—611no—
1296C4⋊C8—611no—
1297C4⋊C8—611no—
1298C4⋊C8C22×D6111yescharacteristic
1299C4⋊C8C22×D6111yescharacteristic
1300C4⋊C8C22×D6111yescharacteristic
1301C4⋊C8C22×D6111yescharacteristic
1302#103—611no—
1303#103—611no—
1304#103—611no—
1305#103—611no—
1306#103—611no—
1307#103—611no—
1308#103—611no—
1309#103—611no—
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103C22×D6111yescharacteristic
1319#103C22×D6111yescharacteristic
1320#103C22×D6111yescharacteristic
1321#103C22×D6111yescharacteristic
1322#103C22×D6111yescharacteristic
1323#103C22×D6111yescharacteristic
1324#102—611no—
1325#102—611no—
1326#102—611no—
1327#102—611no—
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102C22×D6111yescharacteristic
1333#102C22×D6111yescharacteristic
1334C22⋊C8—611no—
1335C22⋊C8—611no—
1336C22⋊C8—611no—
1337C22⋊C8—611no—
1338C22⋊C8—611no—
1339C22⋊C8—611no—
1340#97—611no—
1341#97—611no—
1342#97—611no—
1343#97—611no—
1344C4×C8—611no—
1345C4×C8—611no—
1346C24—1221no—
1347#41—22no—
1348#41—41no—
1349#41—41no—
1350#41—41no—
1351#41—1222no—
1352#41—1222no—
1353#41—2441no—
1354#41—2441no—
1355#41—2441no—
1356#41—2441no—
1357C2×Q8—21no—
1358C2×Q8—41no—
1359C2×Q8—41no—
1360C2×Q8—611no—
1361C2×Q8—611no—
1362C2×Q8—611no—
1363C2×Q8—611no—
1364C2×Q8—1221no—
1365C2×Q8—1221no—
1366C2×Q8—1221no—
1367C2×Q8—1221no—
1368C2×Q8—2441no—
1369C2×Q8—2441no—
1370C2×Q8—2441no—
1371C2×Q8—2441no—
1372C2×Q8C23×D6111yescharacteristic
1373C2×Q8C23×D6111yescharacteristic
1374C2×Q8C23×D6111yescharacteristic
1375C2×Q8C23×D6111yescharacteristic
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—611no—
1379C2×D4—611no—
1380C2×D4—611no—
1381C2×D4—611no—
1382C2×D4—1221no—
1383C2×D4—1221no—
1384C2×D4—1221no—
1385C2×D4—1221no—
1386C2×D4—1221no—
1387C2×D4—1221no—
1388C2×D4—2441no—
1389C2×D4—2441no—
1390C2×D4C23×D6111yescharacteristic
1391C2×D4C23×D6111yescharacteristic
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—611no—
1399C22×C4—611no—
1400C22×C4—611no—
1401C22×C4—611no—
1402C22×C4—1221no—
1403C22×C4—1221no—
1404C22×C4—1221no—
1405C22×C4—1221no—
1406C22×C4—1221no—
1407C22×C4—1221no—
1408C22×C4—1221no—
1409C22×C4—1221no—
1410C22×C4—1221no—
1411C22×C4—1221no—
1412C22×C4C23×D6111yescharacteristic
1413Q16—41no—
1414Q16—41no—
1415Q16—41no—
1416Q16—2441no—
1417Q16—2441no—
1418Q16—2441no—
1419Q16—2441no—
1420Q16—2441no—
1421Q16—2441no—
1422Q16—2441no—
1423Q16—2441no—
1424Q16—2441no—
1425SD16—22no—
1426SD16—22no—
1427SD16—22no—
1428SD16—41no—
1429SD16—1222no—
1430SD16—2441no—
1431SD16—2441no—
1432SD16—2441no—
1433SD16—2441no—
1434SD16—2441no—
1435D8—22no—
1436D8—1222no—
1437M16—41no—
1438M16—2441no—
1439M16—2441no—
1440M16—2441no—
1441C2×C8—41no—
1442C2×C8—611no—
1443C2×C8—611no—
1444C2×C8—611no—
1445C2×C8—611no—
1446C2×C8—2441no—
1447C2×C8C23×D6111yescharacteristic
1448C2×C8C23×D6111yescharacteristic
1449C2×C8C23×D6111yescharacteristic
1450C2×C8C23×D6111yescharacteristic
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—611no—
1459C4⋊C4—611no—
1460C4⋊C4—611no—
1461C4⋊C4—611no—
1462C4⋊C4—611no—
1463C4⋊C4—611no—
1464C4⋊C4—611no—
1465C4⋊C4—611no—
1466C4⋊C4—611no—
1467C4⋊C4—611no—
1468C4⋊C4—611no—
1469C4⋊C4—611no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4—1221no—
1476C4⋊C4—1221no—
1477C4⋊C4—1221no—
1478C4⋊C4—1221no—
1479C4⋊C4—1221no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4D4×D6111yescharacteristic
1504C4⋊C4D4×D6111yescharacteristic
1505C4⋊C4C23×D6111yescharacteristic
1506C4⋊C4C23×D6111yescharacteristic
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—611no—
1514C22⋊C4—611no—
1515C22⋊C4—611no—
1516C22⋊C4—611no—
1517C22⋊C4—611no—
1518C22⋊C4—611no—
1519C22⋊C4—611no—
1520C22⋊C4—611no—
1521C22⋊C4—1221no—
1522C22⋊C4—1221no—
1523C22⋊C4—1221no—
1524C22⋊C4—1221no—
1525C22⋊C4—1221no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4D4×D6111yescharacteristic
1547C22⋊C4D4×D6111yescharacteristic
1548C42—21no—
1549C42—21no—
1550C42—611no—
1551C42—611no—
1552C42—611no—
1553C42—611no—
1554C42—1221no—
1555C42—1221no—
1556C42—1221no—
1557C42—1221no—
1558C42—1221no—
1559C42—1221no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42C23×D6111yescharacteristic
1564C42C23×D6111yescharacteristic
1565C23—21no—
1566C23—21no—
1567C23—611no—
1568C23—611no—
1569C23—1221no—
1570C23—4881no—
1571C23—4881no—
1572C23—2442no—
1573C23C2×D4×D6111yescharacteristic
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—81no—
1583Q8—1221no—
1584Q8—1221no—
1585Q8—1221no—
1586Q8—1221no—
1587Q8—1221no—
1588Q8—1221no—
1589Q8—4881no—
1590Q8—4881no—
1591Q8—4881no—
1592Q8—4881no—
1593Q8—2441no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—42no—
1598D4—81no—
1599D4—1221no—
1600D4—1221no—
1601D4—4881no—
1602D4—4881no—
1603D4—4881no—
1604D4—4881no—
1605D4—2441no—
1606D4—2441no—
1607D4—2441no—
1608D4—2442no—
1609D4—2442no—
1610D4#1451982212yes—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—42no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—81no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—611no—
1626C2×C4—611no—
1627C2×C4—611no—
1628C2×C4—611no—
1629C2×C4—611no—
1630C2×C4—611no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—1221no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—4881no—
1643C2×C4—4881no—
1644C2×C4—4881no—
1645C2×C4—4881no—
1646C2×C4—4881no—
1647C2×C4—4881no—
1648C2×C4—4881no—
1649C2×C4—2441no—
1650C2×C4—2441no—
1651C2×C4—2442no—
1652C2×C4—2442no—
1653C2×C4—2442no—
1654C2×C4C2×D4×D6111yescharacteristic
1655C2×C4C2×D4×D6111yescharacteristic
1656C2×C4C2×D4×D6111yescharacteristic
1657C2×C4C2×D4×D6111yescharacteristic
1658C2×C4C2×D4×D6111yescharacteristic
1659C2×C4C24×D6111yescharacteristic
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8—1221no—
1665C8—1221no—
1666C8—1221no—
1667C8—1221no—
1668C22—21no—
1669C22—22no—
1670C22—21no—
1671C22—21no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—1221no—
1678C22—1221no—
1679C22—1221no—
1680C22—1221no—
1681C22—1221no—
1682C22—1221no—
1683C22—9762no—
1684C22—2441no—
1685C22—2441no—
1686C22—2441no—
1687C22C22×D4×D6111yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—1221no—
1700C4—1221no—
1701C4—1221no—
1702C4—1221no—
1703C4—1221no—
1704C4—1221no—
1705C4—2441no—
1706C4—2441no—
1707C4—2441no—
1708C4—2441no—
1709C4—2441no—
1710C4—2441no—
1711C4—2441no—
1712C4C2×#1451982211yescharacteristic
1713C4#1684059811yescharacteristic
1714C2—41no—
1715C2—42no—
1716C2—81no—
1717C2—4881no—
1718C2—2441no—
1719C2—2441no—
1720C2#2145948411yescharacteristic
1721C2#2146060111yescharacteristic
1722C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3046C2
socleC22×C61C23×D4
hypercenter#3046D61
hypocenterC61#62090
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3046

Complements

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

NH ≅ G/Ntype
1. #21460380C2semidirect
2. #21459787C2semidirect
3. #21458853C2semidirect
4. #21458849C2semidirect
5. #21458650C2semidirect
6. #21458639C2semidirect
7. #21458042C2semidirect
8. #21458036C2semidirect
9. #21457931C2semidirect
10. #21457926C2semidirect
11. #21457877C2semidirect
12. #21457866C2semidirect
13. #21457468C2semidirect
14. #21457459C2semidirect
15. #21457374C2semidirect
16. #21457368C2semidirect
17. #21457344C2semidirect
18. #21457339C2semidirect
19. #21457250C2semidirect
20. #21457247C2semidirect
21. #21457211C2semidirect
22. #21456902C2semidirect
23. #21456901C2semidirect
24. #21456820C2semidirect
25. #21456096C2semidirect
26. #21456093C2semidirect
27. #21455978C2semidirect
28. #21455364C2semidirect
29. #21455308C2semidirect
30. #21454987C2semidirect
31. C61×#3046C2semidirect
33. C2×#14519806C22semidirect
38. #16840490C22semidirect
41. #16840471C22semidirect
42. #16840467C22semidirect
57. #16840411C22semidirect
65. #16840374C22semidirect
66. #16840370C22semidirect
77. #16840241C22semidirect
83. #16840141C22semidirect
84. #16840140C22semidirect
85. #16840130C22semidirect
86. #16840129C22semidirect
93. #16840092C22semidirect
94. #16840091C22semidirect
97. #16840071C22semidirect
98. #16840070C22semidirect
101. #16840058C22semidirect
102. #16840052C22semidirect
103. #16840048C22semidirect
104. #16840047C22semidirect
105. #16840045C22semidirect
106. #16840045C22semidirect
107. #16840020C22semidirect
110. #16840019C22semidirect
115. #16840003C22semidirect
116. #16840000C22semidirect
131. #16839973C22semidirect
132. #16839971C22semidirect
133. #16839970C22semidirect
134. #16839970C22semidirect
135. #16839970C22semidirect
136. #16839969C22semidirect
137. #16839969C22semidirect
140. #16839965C22semidirect
144. #16839924C22semidirect
148. #16839921C22semidirect
150. #16839919C22semidirect
151. #16839918C22semidirect
152. #16839918C22semidirect
154. #16839916C22semidirect
159. #16839891C22semidirect
160. #16839889C22semidirect
163. #16839867C22semidirect
164. #16839866C22semidirect
165. #16839866C22semidirect
166. #16839866C22semidirect
167. #16839863C22semidirect
168. #16839863C22semidirect
170. SD16×Dic61C22semidirect
172. C4×#11758200C22semidirect
176. #16839833C22semidirect
178. #16839831C22semidirect
179. #16839823C22semidirect
180. #16839822C22semidirect
182. #16839787C22semidirect
187. #103×D61C22semidirect
188. C2×#137×C61C22semidirect
191. C61×#520C22semidirect
196. C61×#462C22semidirect
197. C61×#462C22semidirect
198. C61×#461C22semidirect
199. C61×#461C22semidirect
200. C61×#424C22semidirect
202. C2×#103×C61C22semidirect
881. #3046D61semidirect
895. C2×#137C2×D61semidirect
942. #520C2×D61semidirect
1007. #462C2×D61semidirect
1008. #462C2×D61semidirect
1012. #461C2×D61semidirect
1013. #461C2×D61semidirect
1056. #424C2×D61semidirect
1063. C2×#103C2×D61semidirect
1064. C61#62090semidirect

Maximal subgroups

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

subgroupindex
#214603802
#214597872
#214588532
#214588492
#214586502
#214586392
#214580422
#214580362
#214579312
#214579262
#214578772
#214578662
#214574682
#214574592
#214573742
#214573682
#214573442
#214573392
#214572502
#214572472
#214572112
#214569022
#214569012
#214568202
#214560962
#214560932
#214559782
#214553642
#214553082
#214549872
C61×#30462
#6209061