Finite Group Databasebeta

← #33978986

Subgroups — #33978986

Order 18688.

1870 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623886C211yesmaximal, characteristic, complemented
2#22623528C211yesmaximal, characteristic, complemented
3#22623016C211yesmaximal, characteristic, complemented
4#22622992C211yesmaximal, characteristic, complemented
5#22622772C211yesmaximal, characteristic, complemented
6#22622698C211yesmaximal, characteristic, complemented
7#22622106C211yesmaximal, characteristic, complemented
8#22622076C211yesmaximal, characteristic, complemented
9#22621996C211yesmaximal, characteristic, complemented
10#22621966C211yesmaximal, characteristic, complemented
11#22621837C211yesmaximal, characteristic, complemented
12#22621785C211yesmaximal, characteristic, complemented
13#22621665C211yesmaximal, characteristic, complemented
14#22621642C211yesmaximal, characteristic, complemented
15#22621515C211yesmaximal, characteristic, complemented
16#22621494C211yesmaximal, characteristic, complemented
17#22621470C211yesmaximal, characteristic, complemented
18#22621430C211yesmaximal, characteristic, complemented
19#22621329C211yesmaximal, characteristic, complemented
20#22621280C211yesmaximal, characteristic, complemented
21#22621251C211yesmaximal, characteristic, complemented
22#22620967C211yesmaximal, characteristic, complemented
23#22620894C211yesmaximal, characteristic, complemented
24#22620104C211yesmaximal, characteristic, complemented
25#22620037C211yesmaximal, characteristic, complemented
26#22619946C211yesmaximal, characteristic, complemented
27#22619420C211yesmaximal, characteristic, complemented
28#22619383C211yesmaximal, characteristic, complemented
29C2×#17988806C211yesmaximal, characteristic, complemented
30#22619058C211yesmaximal, characteristic, complemented
31C73×#3213C211yesmaximal, characteristic, complemented
32C2×#14556620C2211yescharacteristic, complemented
33C2×#14556615C2211yescharacteristic
34C2×#14556612C2211yescharacteristic, complemented
35C2×#14556610C2211yescharacteristic, complemented
36C22×#11924018C2211yescharacteristic, complemented
37C22×#11924016C2211yescharacteristic
38#17989323C2211yescharacteristic, complemented
39#17989319—21no—
40#17989319C2211yescharacteristic
41#17989312C2211yescharacteristic, complemented
42#17989311C2211yescharacteristic, complemented
43#17989306—21no—
44#17989306C2211yescharacteristic
45#17989299—21no—
46#17989289C2211yescharacteristic
47#17989289C2211yescharacteristic, complemented
48#17989280—21no—
49#17989280—21no—
50#17989267—21no—
51#17989263—21no—
52#17989257C2211yescharacteristic, complemented
53Q8×C22⋊D73C2211yescharacteristic
54#17989248C2211yescharacteristic
55#17989245C2211yescharacteristic
56#17989243C2211yescharacteristic
57#17989243C2211yescharacteristic, complemented
58#17989231C2211yescharacteristic
59#17989230C2211yescharacteristic
60#17989227—21no—
61D4×C22⋊D73C2211yescharacteristic
62#17989201—21no—
63#17989175—21no—
64#17989171—21no—
65#17989136C2211yescharacteristic
66#17989133—21no—
67#17989121C2211yescharacteristic
68#17989119C2211yescharacteristic, complemented
69#17989119C2211yescharacteristic, complemented
70#17989117—21no—
71#17989117—21no—
72#17989116C2211yescharacteristic
73#17989116C2211yescharacteristic
74#124×D73C2211yescharacteristic
75#17989060—21no—
76#41×Dic73—21no—
77C4×#11924028C2211yescharacteristic
78C4×#11924027C2211yescharacteristic, complemented
79C4×#11924027C2211yescharacteristic, complemented
80C2×C4×Dic146C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic
83#17988970C2211yescharacteristic
84#17988968C2211yescharacteristic, complemented
85#17988954C2211yescharacteristic, complemented
86#17988950C2211yescharacteristic
87#17988943C2211yescharacteristic, complemented
88#17988940C2211yescharacteristic
89#17988927C2211yescharacteristic, complemented
90#17988926C2211yescharacteristic, complemented
91#17988923C2211yescharacteristic, complemented
92#17988910C2211yescharacteristic
93#17988909C2211yescharacteristic
94#17988906C2211yescharacteristic
95#17988896C2211yescharacteristic, complemented
96#17988895C2211yescharacteristic, complemented
97#17988895C2211yescharacteristic, complemented
98#17988892C2211yescharacteristic, complemented
99#17988889C2211yescharacteristic
100#17988887C2211yescharacteristic, complemented
101#17988887C2211yescharacteristic, complemented
102#17988885C2211yescharacteristic, complemented
103#17988879C2211yescharacteristic, complemented
104#17988874C2211yescharacteristic, complemented
105#17988844C2211yescharacteristic, complemented
106#17988837C2211yescharacteristic
107#17988832C2211yescharacteristic
108#17988830C2211yescharacteristic, complemented
109#17988827C2211yescharacteristic, complemented
110#17988821C2211yescharacteristic
111#17988821C2211yescharacteristic
112#17988820C2211yescharacteristic
113#17988815C2211yescharacteristic
114#17988814C2211yescharacteristic, complemented
115#17988814C2211yescharacteristic, complemented
116#17988813C2211yescharacteristic, complemented
117#17988812C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988810C2211yescharacteristic, complemented
120#17988808C2211yescharacteristic
121#17988807C2211yescharacteristic, complemented
122#17988807C2211yescharacteristic, complemented
123#17988806C2211yescharacteristic
124#17988806C2211yescharacteristic
125#17988806C2211yescharacteristic
126#17988806C2211yescharacteristic
127#17988806C2211yescharacteristic, complemented
128#17988806C2211yescharacteristic, complemented
129#17988806C2211yescharacteristic, complemented
130#17988806C2211yescharacteristic, complemented
131#17988804C2211yescharacteristic, complemented
132#17988802C2211yescharacteristic, complemented
133#17988802C2211yescharacteristic, complemented
134#17988800C2211yescharacteristic
135#17988800C2211yescharacteristic
136#17988800C2211yescharacteristic, complemented
137#17988796C2211yescharacteristic, complemented
138#17988790C2211yescharacteristic, complemented
139#17988786C2211yescharacteristic
140#17988784C2211yescharacteristic, complemented
141#17988780C2211yescharacteristic
142#17988779C2211yescharacteristic, complemented
143#17988752C2211yescharacteristic, complemented
144#17988750C2211yescharacteristic, complemented
145#17988746C2211yescharacteristic, complemented
146#17988746C2211yescharacteristic, complemented
147#17988745C2211yescharacteristic, complemented
148#17988744C2211yescharacteristic, complemented
149#17988739C2211yescharacteristic
150#17988731C2211yescharacteristic, complemented
151#17988729C2211yescharacteristic
152#17988729C2211yescharacteristic
153#17988729C2211yescharacteristic, complemented
154#17988728C2211yescharacteristic
155#17988724C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic
157#17988715C2211yescharacteristic, complemented
158#17988715C2211yescharacteristic, complemented
159#17988699C2211yescharacteristic
160#17988695C2211yescharacteristic, complemented
161#17988695C2211yescharacteristic, complemented
162#17988691C2211yescharacteristic, complemented
163#17988689C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165#17988688C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic
167#17988679C2211yescharacteristic, complemented
168#17988678C2211yescharacteristic, complemented
169SD16×Dic73C2211yescharacteristic, complemented
170D8×Dic73C2211yescharacteristic, complemented
171#17988660C2211yescharacteristic, complemented
172#17988660C2211yescharacteristic, complemented
173#17988655C2211yescharacteristic
174#17988655C2211yescharacteristic
175#17988650C2211yescharacteristic, complemented
176#17988650C2211yescharacteristic, complemented
177#17988643C2211yescharacteristic, complemented
178#17988639C2211yescharacteristic, complemented
179#17988609C2211yescharacteristic, complemented
180C2×C4⋊#10596831C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988590C2211yescharacteristic
184#17988582C2211yescharacteristic, complemented
185#17988580C2211yescharacteristic, complemented
186C2×#14556515C2211yescharacteristic, complemented
187C2×#14556512C2211yescharacteristic
188#532×C73C2211yescharacteristic, complemented
189C2×#124×C73C2211yescharacteristic
190#496×C73C2211yescharacteristic
191#496×C73C2211yescharacteristic, complemented
192#489×C73C2211yescharacteristic
193#489×C73C2211yescharacteristic, complemented
194#463×C73C2211yescharacteristic
195#463×C73C2211yescharacteristic
196#463×C73C2211yescharacteristic, complemented
197#463×C73C2211yescharacteristic, complemented
198#448×C73C2211yescharacteristic, complemented
199#448×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic
201#447×C73C2211yescharacteristic
202#432×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028D411yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C22×Dic146C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C22×C22⋊D73—21no—
211C2×D4×D73C2311yescharacteristic
212#14556620—42no—
213#14556615—42no—
214#14556612—42no—
215#14556610—42no—
216C2×Dic292C2311yescharacteristic
217C2×Dic292C2311yescharacteristic
218C2×#11924018—42no—
219C2×#11924018C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924018C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924016—42no—
226C2×#11924016C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924013C2311yescharacteristic
234C2×#11924011C2311yescharacteristic
235C2×#11924011C2311yescharacteristic
236C22×#10596831C2311yescharacteristic
237C22×#10596831C2311yescharacteristic
238C2×C8×D73C2311yescharacteristic
239C2×C8×D73C2311yescharacteristic
240#14556589—21no—
241#14556589—21no—
242#14556589C2311yescharacteristic
243#14556587—21no—
244#14556587C2311yescharacteristic
245#14556586—21no—
246#14556586—21no—
247#14556585—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584—21no—
251#14556584—21no—
252#14556584—21no—
253#14556584—21no—
254#14556584—21no—
255#14556584—21no—
256#14556583C2311yescharacteristic
257#14556582C2311yescharacteristic
258#14556582C2311yescharacteristic
259#14556581—21no—
260#14556581—21no—
261#14556580—21no—
262#14556580—21no—
263#14556580C2311yescharacteristic
264#14556579C2311yescharacteristic
265#14556578—21no—
266#14556578C2311yescharacteristic
267#14556578C2311yescharacteristic
268#14556578C2311yescharacteristic
269#14556577—21no—
270#14556577—21no—
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556575—21no—
276#14556575—21no—
277#14556575—21no—
278#14556574—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556573—21no—
284#14556573—21no—
285#14556572—21no—
286#14556572—21no—
287#14556572—21no—
288#14556571C2311yescharacteristic
289#14556571C2311yescharacteristic
290#14556570—21no—
291#14556570C2311yescharacteristic
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556567—21no—
297#14556567—21no—
298#14556567C2311yescharacteristic
299#14556567C2311yescharacteristic
300#14556565—21no—
301#14556565C2311yescharacteristic
302#14556564—21no—
303#14556564—21no—
304#14556564—21no—
305#14556564—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556563—21no—
314#14556562C2311yescharacteristic
315#14556562C2311yescharacteristic
316#14556562C2311yescharacteristic
317#14556562C2311yescharacteristic
318#14556561—21no—
319#14556560—21no—
320#14556560—21no—
321#14556559—21no—
322Q8×Dic73—21no—
323Q8×Dic73—21no—
324Q8×Dic73C2311yescharacteristic
325Q8×Dic73C2311yescharacteristic
326C4×Dic146—21no—
327C4×Dic146—21no—
328C4×Dic146D411yescharacteristic
329C4×Dic146C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331C4×Dic146C2311yescharacteristic
332C4×Dic146C2311yescharacteristic
333C4×Dic146C2311yescharacteristic
334C4×Dic146C2311yescharacteristic
335#14556556C2311yescharacteristic
336#14556556C2311yescharacteristic
337C4×D292D411yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340D4×Dic73—21no—
341D4×Dic73—21no—
342D4×Dic73—21no—
343D4×Dic73—21no—
344D4×Dic73—21no—
345D4×Dic73—21no—
346D4×Dic73C2311yescharacteristic
347D4×Dic73C2311yescharacteristic
348D4×Dic73C2311yescharacteristic
349D4×Dic73C2311yescharacteristic
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73D411yescharacteristic
358C4×C22⋊D73D411yescharacteristic
359C4×C22⋊D73C2311yescharacteristic
360C4×C22⋊D73C2311yescharacteristic
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556550—21no—
370#14556550—21no—
371#14556550D411yescharacteristic
372#14556549C2311yescharacteristic
373#14556549C2311yescharacteristic
374#14556548—21no—
375#14556548D411yescharacteristic
376#14556548D411yescharacteristic
377#14556547—21no—
378#14556547—21no—
379#14556547—21no—
380#14556547—21no—
381#14556547—21no—
382C2×C4⋊Dic73C2311yescharacteristic
383C2×#11924007—21no—
384C2×C22⋊Dic73—21no—
385C22⋊C4×D73—21no—
386C22⋊C4×D73—21no—
387C22⋊C4×D73—21no—
388C2×C4×Dic73—21no—
389C2×C4×Dic73—21no—
390C2×C4×Dic73—21no—
391C42×D73C2311yescharacteristic
392C42×D73C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556525C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556523C2311yescharacteristic
398#14556523C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404C4⋊#10596831C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73—21no—
442C22×Q8×C73C2311yescharacteristic
443C22×D4×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C2×D8×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C4⋊Q8×C73C2311yescharacteristic
453#127×C73C2311yescharacteristic
454#124×C73—21no—
455#124×C73—21no—
456#124×C73—21no—
457#124×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#124×C73C2311yescharacteristic
460#124×C73C2311yescharacteristic
461#121×C73—21no—
462#121×C73C2311yescharacteristic
463#121×C73C2311yescharacteristic
464C4×D4×C73—21no—
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467C2×C22⋊C4×C73—21no—
468C2×C22⋊C4×C73—21no—
469C2×C42×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485#11924029—41no—
486#11924029—41no—
487#11924028—42no—
488#11924027—22no—
489#11924027—22no—
490#11924027—41no—
491#11924027—41no—
492#11924027—41no—
493#11924027—41no—
494C2×Dic146—22no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—41no—
498C2×Dic146C2×D411yescharacteristic
499C2×Dic146C2411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×Dic146C2411yescharacteristic
502Q8×D73—41no—
503Q8×D73—41no—
504C2×D292—21no—
505C2×D292C2×D411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—44no—
519C2×C22⋊D73C2×D411yescharacteristic
520C2×C22⋊D73C2×D411yescharacteristic
521D4×D73—41no—
522D4×D73—41no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73C2×D411yescharacteristic
536C2×C4×D73C2×D411yescharacteristic
537C2×C4×D73C2×D411yescharacteristic
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2411yescharacteristic
540C2×C4×D73C2411yescharacteristic
541Dic292—22no—
542Dic292—41no—
543#11924018—22no—
544#11924018—22no—
545#11924018—41no—
546#11924018—41no—
547#11924017—22no—
548#11924017—41no—
549#11924016—22no—
550#11924016—22no—
551#11924016—41no—
552#11924016—41no—
553#11924016—41no—
554#11924016—41no—
555#11924013—41no—
556#11924013—41no—
557#11924011—41no—
558#11924011—41no—
559C2×#10596831—41no—
560C2×#10596831—41no—
561C2×#10596831C2411yescharacteristic
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C8×D73—41no—
566C8×D73—41no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73C2×D411yescharacteristic
575C4⋊Dic73C2×D411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73C2×D411yescharacteristic
616C22⋊Dic73C2×D411yescharacteristic
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2411yescharacteristic
649C4×Dic73C2411yescharacteristic
650C24×C73—21no—
651#41×C73—44no—
652C2×Q8×C73—21no—
653C2×Q8×C73—21no—
654C2×Q8×C73—41no—
655C2×Q8×C73—41no—
656C2×Q8×C73C2411yescharacteristic
657C2×Q8×C73C2411yescharacteristic
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—41no—
664C2×D4×C73—41no—
665C2×D4×C73C2411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73C2×D411yescharacteristic
673C22×C4×C73C2×D411yescharacteristic
674C22×C4×C73C2411yescharacteristic
675SD16×C73—41no—
676SD16×C73—41no—
677SD16×C73—41no—
678SD16×C73—41no—
679D8×C73—41no—
680D8×C73—41no—
681D8×C73—41no—
682D8×C73—41no—
683C2×C8×C73C2411yescharacteristic
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C2×C8×C73C2411yescharacteristic
687C4⋊C4×C73—21no—
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C42×C73C2×D411yescharacteristic
703C42×C73C2×D411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—21no—
710C23×C73—42no—
711C23×C73—81no—
712C23×C73—81no—
713C23×C73C22×D411yescharacteristic
714C22×D73—21no—
715C22×D73—42no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73C22×D411yescharacteristic
719C22×D73C22×D411yescharacteristic
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—21no—
724Q8×C73—42no—
725Q8×C73—81no—
726D4×C73—21no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—42no—
735D4×C73—42no—
736D4×C73—42no—
737D4×C73—81no—
738D4×C73—81no—
739C2×C4×C73—22no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—41no—
747C2×C4×C73—42no—
748C2×C4×C73—42no—
749C2×C4×C73—81no—
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C2511yescharacteristic
756C22⋊D73—22no—
757C22⋊D73—22no—
758C22⋊D73—42no—
759C22⋊D73—42no—
760C22⋊D73—42no—
761C22⋊D73—42no—
762C22⋊D73—42no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—42no—
777C2×Dic73—42no—
778C2×Dic73—42no—
779C2×Dic73—42no—
780C2×Dic73—81no—
781C2×Dic73—81no—
782C2×Dic73—81no—
783C2×Dic73—81no—
784C2×Dic73—81no—
785C2×Dic73C22×D411yescharacteristic
786C2×Dic73C22×D411yescharacteristic
787C2×Dic73C22×D411yescharacteristic
788C2×Dic73C22×D411yescharacteristic
789C2×Dic73C22×D411yescharacteristic
790C2×Dic73C22×D411yescharacteristic
791D292—21no—
792D292—21no—
793D292—41no—
794D292—81no—
795C4×D73—21no—
796C4×D73—21no—
797C4×D73—21no—
798C4×D73—21no—
799C4×D73—41no—
800C4×D73—41no—
801C4×D73—41no—
802C4×D73—41no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806Dic146—21no—
807Dic146—21no—
808Dic146—21no—
809Dic146—21no—
810Dic146—21no—
811Dic146—41no—
812Dic146—42no—
813Dic146—81no—
814Dic146H(5,𝔽2)12yes—
815C8×C73—21no—
816C8×C73—21no—
817C8×C73—21no—
818C8×C73—21no—
819#10596831—21no—
820#10596831—21no—
821#10596831—21no—
822#10596831—21no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—162no—
838C22×C73#57512yes—
839C22×C73C23×D411yescharacteristic
840C2×D73—21no—
841C2×D73—21no—
842C2×D73—21no—
843C2×D73—21no—
844C2×D73—21no—
845C2×D73—21no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—162no—
850C4×C73—21no—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—41no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73C2×H(5,𝔽2)11yescharacteristic
860C4×C73#58511yescharacteristic
861Dic73—21no—
862Dic73—21no—
863Dic73—22no—
864Dic73—21no—
865Dic73—21no—
866Dic73—21no—
867Dic73—21no—
868Dic73—41no—
869Dic73—41no—
870Dic73—41no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874#61992—731nomaximal, Sylow
875C2×C73—22no—
876C2×C73—81no—
877C2×C73—81no—
878C2×C73—81no—
879C2×C73—81no—
880C2×C73#348811yescharacteristic
881C2×C73C2×#57511yescharacteristic
882C2×C73#358411yescharacteristic
883D73—41no—
884D73—41no—
885D73—81no—
886#3514—731no—
887#3480—731no—
888#3403—731no—
889#3401—731no—
890#3377—731no—
891#3371—731no—
892#3320—731no—
893#3318—731no—
894#3313—731no—
895#3311—731no—
896#3301—731no—
897#3297—731no—
898#3285—731no—
899#3282—731no—
900#3271—731no—
901#3270—731no—
902#3268—731no—
903#3265—731no—
904#3256—731no—
905#3250—731no—
906#3247—731no—
907#3219—731no—
908#3213D7311yescharacteristic, complemented
909#3211—731no—
910#3117—731no—
911#3111—731no—
912#3102—731no—
913#3040—731no—
914#3035—731no—
915C2×#464—731no—
916#2990—731no—
917C73#6199211yescharacteristic, complemented, Sylow
918C2×#137—731no—
919C2×AGL(1,ℤ/8)—731no—
920C2×#135—731no—
921C2×#135—731no—
922C22×Q16—731no—
923C22×SD16—731no—
924#559—731no—
925#559—731no—
926#559—1461no—
927#557—731no—
928#556—731no—
929#556—731no—
930#556—1461no—
931#555—1461no—
932#553—731no—
933#553—731no—
934#553—1461no—
935#553—1461no—
936#551—1461no—
937#551—1461no—
938#550—731no—
939D4×Q8—731no—
940#548—731no—
941#548—731no—
942#548—731no—
943#548—731no—
944#546—731no—
945#546—731no—
946#546—1461no—
947D42—731no—
948#542—1461no—
949#538—1461no—
950#538—1461no—
951#532—731no—
952#532—1461no—
953#532C2×D7311yescharacteristic, complemented
954#529—731no—
955#529—731no—
956#529—731no—
957#529—731no—
958#529—731no—
959#529—1461no—
960#529—1461no—
961C2×#124—731no—
962C2×#124C2×D7311yescharacteristic
963#518—1461no—
964C4×#41—731no—
965C4×#41—731no—
966C4×#41—731no—
967C4×#41—1461no—
968C2×C4×Q8—731no—
969#497—731no—
970#496—731no—
971#496C2×D7311yescharacteristic
972#496C2×D7311yescharacteristic, complemented
973#495—731no—
974#495—731no—
975#491—731no—
976#490—731no—
977#489C2×D7311yescharacteristic
978#489C2×D7311yescharacteristic, complemented
979#488—731no—
980#488—731no—
981#485—731no—
982#485—731no—
983#484—731no—
984#482—731no—
985#482—731no—
986#481—731no—
987#479—731no—
988#479—731no—
989#479—731no—
990#479—731no—
991#478—731no—
992#478—731no—
993#478—731no—
994#478—731no—
995#477—731no—
996#476—731no—
997#470—731no—
998#469—731no—
999#468—731no—
1000#468—731no—
1001#467—731no—
1002#466—731no—
1003#466—731no—
1004#466—731no—
1005#465—731no—
1006#465—731no—
1007#465—731no—
1008#465—731no—
1009#464—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463C2×D7311yescharacteristic
1030#463C2×D7311yescharacteristic
1031#463C2×D7311yescharacteristic, complemented
1032#463C2×D7311yescharacteristic, complemented
1033#462—731no—
1034#461—731no—
1035#460—731no—
1036#460—731no—
1037#459—731no—
1038#459—731no—
1039#452—731no—
1040#452—731no—
1041#452—731no—
1042#452—731no—
1043#451—731no—
1044#451—731no—
1045#450—731no—
1046#449—731no—
1047#449—731no—
1048#449—731no—
1049#449—731no—
1050#448—731no—
1051#448—731no—
1052#448C2×D7311yescharacteristic, complemented
1053#448C2×D7311yescharacteristic, complemented
1054#447—731no—
1055#447C2×D7311yescharacteristic
1056#447C2×D7311yescharacteristic
1057#446—731no—
1058#446—731no—
1059#442—731no—
1060#441—731no—
1061#441—731no—
1062#441—731no—
1063#440—731no—
1064#440—731no—
1065#440—731no—
1066#440—731no—
1067C4×Q16—731no—
1068C4×SD16—731no—
1069C4×SD16—731no—
1070C4×D8—731no—
1071#435—731no—
1072#435—731no—
1073#435—731no—
1074#435—731no—
1075C8×D4—731no—
1076C8×D4—731no—
1077#432—731no—
1078#432C2×D7311yescharacteristic, complemented
1079#431—731no—
1080#423—731no—
1081C2×C4⋊C8—731no—
1082C2×C4⋊C8—731no—
1083#419—731no—
1084#418—731no—
1085#416—731no—
1086#416—731no—
1087C2×#103—731no—
1088C2×#102—731no—
1089C2×#41—21no—
1090C2×#41—731no—
1091C2×#41—731no—
1092C2×#41—731no—
1093C2×#41—731no—
1094C2×#41—731no—
1095C22×Q8—731no—
1096C22×Q8—731no—
1097C22×Q8C22×D7311yescharacteristic
1098C22×D4—731no—
1099C22×D4—1461no—
1100C22×D4C22×D7311yescharacteristic
1101#137—2922no—
1102AGL(1,ℤ/8)—2922no—
1103#135—2922no—
1104#135—2922no—
1105C2×Q16—2922no—
1106C2×Q16—731no—
1107C2×Q16—731no—
1108C2×Q16—731no—
1109C2×Q16—731no—
1110C2×Q16—731no—
1111C2×Q16—731no—
1112C2×SD16—2922no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16C22×D7311yescharacteristic
1122C2×SD16C22×D7311yescharacteristic
1123C2×SD16C22×D7311yescharacteristic
1124C2×SD16C22×D7311yescharacteristic
1125C2×D8—731no—
1126C2×D8—731no—
1127C2×D8C22×D7311yescharacteristic
1128C2×D8C22×D7311yescharacteristic
1129C2×D8C22×D7311yescharacteristic
1130C2×D8C22×D7311yescharacteristic
1131C2×M16—731no—
1132C2×M16—731no—
1133C22×C8—731no—
1134C22×C8—731no—
1135C22×C8—731no—
1136C22×C8—731no—
1137C4⋊Q8—731no—
1138C4⋊Q8—1461no—
1139C4⋊Q8—1461no—
1140C4⋊Q8C22×D7311yescharacteristic
1141#127—731no—
1142#127—1461no—
1143#127C22×D7311yescharacteristic
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
1149#126—1461no—
1150#126—1461no—
1151#126—1461no—
1152#126—1461no—
1153#126—1461no—
1154#126—1461no—
1155#125—731no—
1156#125—731no—
1157#125—731no—
1158#125—1461no—
1159#125—1461no—
1160#124—21no—
1161#124—21no—
1162#124—21no—
1163#124—731no—
1164#124—731no—
1165#124—731no—
1166#124—731no—
1167#124—731no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124—1461no—
1173#124—1461no—
1174#124—1461no—
1175#124—1461no—
1176#124—1461no—
1177#124C22×D7311yescharacteristic
1178#124C22×D7311yescharacteristic
1179#124C22×D7311yescharacteristic
1180#124C22×D7311yescharacteristic
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186#123—1461no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194C22⋊Q8—731no—
1195C22⋊Q8—731no—
1196C22⋊Q8—731no—
1197C22⋊Q8—731no—
1198C22⋊Q8—731no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8—1461no—
1206#121—21no—
1207#121—731no—
1208#121—731no—
1209#121—731no—
1210#121—731no—
1211#121—731no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121C22×D7311yescharacteristic
1226#121C22×D7311yescharacteristic
1227#120—1461no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
1236C4×Q8—731no—
1237C4×Q8—731no—
1238C4×Q8—731no—
1239C4×Q8—731no—
1240C4×Q8—731no—
1241C4×Q8—731no—
1242C4×Q8—1461no—
1243C4×Q8—1461no—
1244C4×Q8—1461no—
1245C4×Q8—1461no—
1246C4×D4—21no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—731no—
1257C4×D4—731no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4C22×D7311yescharacteristic
1280C4×D4C22×D7311yescharacteristic
1281#117—731no—
1282#117—731no—
1283#117—731no—
1284#117—731no—
1285#117—731no—
1286#117—1461no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117—1461no—
1292#117—1461no—
1293#117—1461no—
1294C2×C4⋊C4—731no—
1295C2×C4⋊C4—1461no—
1296C2×C22⋊C4—21no—
1297C2×C22⋊C4—21no—
1298C2×C22⋊C4—1461no—
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C42—731no—
1303C2×C42—731no—
1304C2×C42—1461no—
1305C2×C42—1461no—
1306C2×C42—1461no—
1307C2×C42C22×D7311yescharacteristic
1308#107—731no—
1309#107—731no—
1310#107—731no—
1311#107—731no—
1312#106—731no—
1313#106—731no—
1314#106—731no—
1315#106—731no—
1316C4⋊C8—731no—
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8—731no—
1323C4⋊C8—731no—
1324C4⋊C8C22×D7311yescharacteristic
1325C4⋊C8C22×D7311yescharacteristic
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103C22×D7311yescharacteristic
1339#103C22×D7311yescharacteristic
1340#103C22×D7311yescharacteristic
1341#103C22×D7311yescharacteristic
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102C22×D7311yescharacteristic
1355#102C22×D7311yescharacteristic
1356#102C22×D7311yescharacteristic
1357#102C22×D7311yescharacteristic
1358C22⋊C8—731no—
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8C22×D7311yescharacteristic
1363C22⋊C8C22×D7311yescharacteristic
1364#97—731no—
1365#97—731no—
1366#97C22×D7311yescharacteristic
1367#97C22×D7311yescharacteristic
1368C4×C8—731no—
1369C4×C8—731no—
1370C24—21no—
1371C24—1461no—
1372#41—44no—
1373#41—2922no—
1374#41—2921no—
1375#41—2921no—
1376#41—2921no—
1377#41—2921no—
1378#41—2921no—
1379#41—2921no—
1380#41—1462no—
1381#41—1462no—
1382C2×Q8—21no—
1383C2×Q8—21no—
1384C2×Q8—41no—
1385C2×Q8—41no—
1386C2×Q8—2921no—
1387C2×Q8—2921no—
1388C2×Q8—2921no—
1389C2×Q8—731no—
1390C2×Q8—731no—
1391C2×Q8—731no—
1392C2×Q8—731no—
1393C2×Q8—1462no—
1394C2×Q8—1461no—
1395C2×Q8—1461no—
1396C2×Q8C23×D7311yescharacteristic
1397C2×Q8C23×D7311yescharacteristic
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—2924no—
1406C2×D4—2921no—
1407C2×D4—2921no—
1408C2×D4—731no—
1409C2×D4—731no—
1410C2×D4—731no—
1411C2×D4—731no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4C23×D7311yescharacteristic
1425C2×D4C23×D7311yescharacteristic
1426C2×D4C23×D7311yescharacteristic
1427C2×D4C23×D7311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—731no—
1432C22×C4—731no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—731no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4—1461no—
1445C22×C4—1461no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4D4×D7311yescharacteristic
1450C22×C4D4×D7311yescharacteristic
1451C22×C4C23×D7311yescharacteristic
1452Q16—2921no—
1453Q16—2921no—
1454Q16—2921no—
1455Q16—1462no—
1456Q16—1462no—
1457Q16—1462no—
1458SD16—41no—
1459SD16—41no—
1460SD16—41no—
1461SD16—41no—
1462SD16—2921no—
1463SD16—2921no—
1464SD16—2921no—
1465SD16—2921no—
1466SD16—2921no—
1467SD16—1462no—
1468SD16—1462no—
1469SD16—1462no—
1470D8—41no—
1471D8—41no—
1472D8—41no—
1473D8—41no—
1474D8—2921no—
1475D8—2921no—
1476M16—2921no—
1477M16—2921no—
1478C2×C8—2921no—
1479C2×C8—2921no—
1480C2×C8—2921no—
1481C2×C8—2921no—
1482C2×C8—731no—
1483C2×C8—731no—
1484C2×C8—731no—
1485C2×C8—731no—
1486C2×C8C23×D7311yescharacteristic
1487C2×C8C23×D7311yescharacteristic
1488C2×C8C23×D7311yescharacteristic
1489C2×C8C23×D7311yescharacteristic
1490C4⋊C4—21no—
1491C4⋊C4—731no—
1492C4⋊C4—731no—
1493C4⋊C4—731no—
1494C4⋊C4—731no—
1495C4⋊C4—731no—
1496C4⋊C4—731no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—731no—
1500C4⋊C4—731no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4C23×D7311yescharacteristic
1525C4⋊C4C23×D7311yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—731no—
1539C22⋊C4—731no—
1540C22⋊C4—731no—
1541C22⋊C4—731no—
1542C22⋊C4—731no—
1543C22⋊C4—731no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C42—731no—
1572C42—731no—
1573C42—731no—
1574C42—731no—
1575C42—731no—
1576C42—731no—
1577C42—1461no—
1578C42—1461no—
1579C42—1461no—
1580C42—1461no—
1581C42—1461no—
1582C42—1461no—
1583C42—1461no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42D4×D7311yescharacteristic
1589C42D4×D7311yescharacteristic
1590C42C23×D7311yescharacteristic
1591C42C23×D7311yescharacteristic
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—42no—
1597C23—81no—
1598C23—81no—
1599C23—2922no—
1600C23—5841no—
1601C23—5841no—
1602C23—731no—
1603C23—731no—
1604C23—1461no—
1605C23C2×D4×D7311yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—42no—
1611Q8—81no—
1612Q8—2922no—
1613Q8—2921no—
1614Q8—5841no—
1615Q8—732no—
1616Q8—1461no—
1617Q8—1461no—
1618Q8—1461no—
1619Q8—1461no—
1620Q8—1461no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—42no—
1630D4—42no—
1631D4—42no—
1632D4—81no—
1633D4—81no—
1634D4—2921no—
1635D4—2922no—
1636D4—2922no—
1637D4—2922no—
1638D4—2922no—
1639D4—2922no—
1640D4—5841no—
1641D4—5841no—
1642D4—5841no—
1643D4—5841no—
1644D4—5841no—
1645D4—5841no—
1646D4—5841no—
1647D4—1462no—
1648D4—1462no—
1649D4—1461no—
1650D4—1461no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—41no—
1659C2×C4—42no—
1660C2×C4—42no—
1661C2×C4—81no—
1662C2×C4—2921no—
1663C2×C4—2921no—
1664C2×C4—2921no—
1665C2×C4—2921no—
1666C2×C4—2922no—
1667C2×C4—2922no—
1668C2×C4—2922no—
1669C2×C4—2922no—
1670C2×C4—5841no—
1671C2×C4—5841no—
1672C2×C4—5841no—
1673C2×C4—5841no—
1674C2×C4—5841no—
1675C2×C4—5841no—
1676C2×C4—5841no—
1677C2×C4—5841no—
1678C2×C4—731no—
1679C2×C4—731no—
1680C2×C4—731no—
1681C2×C4—731no—
1682C2×C4—731no—
1683C2×C4—731no—
1684C2×C4—1461no—
1685C2×C4—1461no—
1686C2×C4—1461no—
1687C2×C4—1461no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1461no—
1692C2×C4—1461no—
1693C2×C4—1461no—
1694C2×C4—1461no—
1695C2×C4C2×D4×D7311yescharacteristic
1696C2×C4C2×D4×D7311yescharacteristic
1697C2×C4C2×D4×D7311yescharacteristic
1698C2×C4C2×D4×D7311yescharacteristic
1699C2×C4C2×D4×D7311yescharacteristic
1700C2×C4C24×D7311yescharacteristic
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—1461no—
1706C8—1461no—
1707C8—1461no—
1708C8—1461no—
1709C22—21no—
1710C22—21no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—162no—
1724C22—2921no—
1725C22—2921no—
1726C22—2921no—
1727C22—11682no—
1728C22—1461no—
1729C22—1461no—
1730C22—1461no—
1731C22—1461no—
1732C22—1461no—
1733C22—1461no—
1734C22#1798938312yes—
1735C22C22×D4×D7311yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—2921no—
1746C4—2921no—
1747C4—2921no—
1748C4—2921no—
1749C4—2921no—
1750C4—2921no—
1751C4—1462no—
1752C4—1461no—
1753C4—1461no—
1754C4—1461no—
1755C4—1461no—
1756C4—1461no—
1757C4—1461no—
1758C4H(5,𝔽2)×D7311yescharacteristic
1759C4#1798942211yescharacteristic
1760C2—22no—
1761C2—81no—
1762C2—81no—
1763C2—81no—
1764C2—81no—
1765C2—2921no—
1766C2—2921no—
1767C2—5841no—
1768C2#2262359811yescharacteristic
1769C2C2×#1798938311yescharacteristic
1770C2#2262470411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3213C2
socleC22×C73C23×D4
hypercenter#3213D73
hypocenterC73#61992
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3213

Complements

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

NH ≅ G/Ntype
1. #22623886C2semidirect
2. #22623528C2semidirect
3. #22623016C2semidirect
4. #22622992C2semidirect
5. #22622772C2semidirect
6. #22622698C2semidirect
7. #22622106C2semidirect
8. #22622076C2semidirect
9. #22621996C2semidirect
10. #22621966C2semidirect
11. #22621837C2semidirect
12. #22621785C2semidirect
13. #22621665C2semidirect
14. #22621642C2semidirect
15. #22621515C2semidirect
16. #22621494C2semidirect
17. #22621470C2semidirect
18. #22621430C2semidirect
19. #22621329C2semidirect
20. #22621280C2semidirect
21. #22621251C2semidirect
22. #22620967C2semidirect
23. #22620894C2semidirect
24. #22620104C2semidirect
25. #22620037C2semidirect
26. #22619946C2semidirect
27. #22619420C2semidirect
28. #22619383C2semidirect
29. C2×#17988806C2semidirect
30. #22619058C2semidirect
31. C73×#3213C2semidirect
32. C2×#14556620C22semidirect
34. C2×#14556612C22semidirect
35. C2×#14556610C22semidirect
36. C22×#11924018C22semidirect
38. #17989323C22semidirect
41. #17989312C22semidirect
42. #17989311C22semidirect
47. #17989289C22semidirect
52. #17989257C22semidirect
57. #17989243C22semidirect
68. #17989119C22semidirect
69. #17989119C22semidirect
78. C4×#11924027C22semidirect
79. C4×#11924027C22semidirect
80. C2×C4×Dic146C22semidirect
81. #17988978C22semidirect
84. #17988968C22semidirect
85. #17988954C22semidirect
87. #17988943C22semidirect
89. #17988927C22semidirect
90. #17988926C22semidirect
91. #17988923C22semidirect
95. #17988896C22semidirect
96. #17988895C22semidirect
97. #17988895C22semidirect
98. #17988892C22semidirect
100. #17988887C22semidirect
101. #17988887C22semidirect
102. #17988885C22semidirect
103. #17988879C22semidirect
104. #17988874C22semidirect
105. #17988844C22semidirect
108. #17988830C22semidirect
109. #17988827C22semidirect
114. #17988814C22semidirect
115. #17988814C22semidirect
116. #17988813C22semidirect
117. #17988812C22semidirect
118. #17988810C22semidirect
119. #17988810C22semidirect
121. #17988807C22semidirect
122. #17988807C22semidirect
127. #17988806C22semidirect
128. #17988806C22semidirect
129. #17988806C22semidirect
130. #17988806C22semidirect
131. #17988804C22semidirect
132. #17988802C22semidirect
133. #17988802C22semidirect
136. #17988800C22semidirect
137. #17988796C22semidirect
138. #17988790C22semidirect
140. #17988784C22semidirect
142. #17988779C22semidirect
143. #17988752C22semidirect
144. #17988750C22semidirect
145. #17988746C22semidirect
146. #17988746C22semidirect
147. #17988745C22semidirect
148. #17988744C22semidirect
150. #17988731C22semidirect
153. #17988729C22semidirect
155. #17988724C22semidirect
157. #17988715C22semidirect
158. #17988715C22semidirect
160. #17988695C22semidirect
161. #17988695C22semidirect
162. #17988691C22semidirect
163. #17988689C22semidirect
164. #17988689C22semidirect
165. #17988688C22semidirect
167. #17988679C22semidirect
168. #17988678C22semidirect
169. SD16×Dic73C22semidirect
170. D8×Dic73C22semidirect
171. #17988660C22semidirect
172. #17988660C22semidirect
175. #17988650C22semidirect
176. #17988650C22semidirect
177. #17988643C22semidirect
178. #17988639C22semidirect
179. #17988609C22semidirect
180. C2×C4⋊#10596831C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988594C22semidirect
184. #17988582C22semidirect
185. #17988580C22semidirect
186. C2×#14556515C22semidirect
188. #532×C73C22semidirect
191. #496×C73C22semidirect
193. #489×C73C22semidirect
196. #463×C73C22semidirect
197. #463×C73C22semidirect
198. #448×C73C22semidirect
199. #448×C73C22semidirect
202. #432×C73C22semidirect
908. #3213D73semidirect
917. C73#61992semidirect
953. #532C2×D73semidirect
972. #496C2×D73semidirect
978. #489C2×D73semidirect
1031. #463C2×D73semidirect
1032. #463C2×D73semidirect
1052. #448C2×D73semidirect
1053. #448C2×D73semidirect
1078. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238862
#226235282
#226230162
#226229922
#226227722
#226226982
#226221062
#226220762
#226219962
#226219662
#226218372
#226217852
#226216652
#226216422
#226215152
#226214942
#226214702
#226214302
#226213292
#226212802
#226212512
#226209672
#226208942
#226201042
#226200372
#226199462
#226194202
#226193832
C2×#179888062
#226190582
C73×#32132
#6199273