Finite Group Databasebeta

← #33963232

Subgroups — #33963232

Order 18688.

2074 conjugacy classes of subgroups.

The subgroup lattice has 1826 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623642C211yesmaximal, characteristic, complemented
2#22623568C211yesmaximal, characteristic, complemented
3#22622093C211yesmaximal, characteristic, complemented
4#22622029C211yesmaximal, characteristic, complemented
5#22622023C211yesmaximal, characteristic, complemented
6#22621968C211yesmaximal, characteristic, complemented
7#22621966C211yesmaximal, characteristic, complemented
8#22621912C211yesmaximal, characteristic, complemented
9#22621902C211yesmaximal, characteristic, complemented
10#22621853C211yesmaximal, characteristic, complemented
11#22621852C211yesmaximal, characteristic, complemented
12#22621846C211yesmaximal, characteristic, complemented
13#22621845C211yesmaximal, characteristic, complemented
14#22621788C211yesmaximal, characteristic, complemented
15#22621785C211yesmaximal, characteristic, complemented
16#22621769C211yesmaximal, characteristic, complemented
17#22621766C211yesmaximal, characteristic, complemented
18#22620293C211yesmaximal, characteristic, complemented
19#22619895C211yesmaximal, characteristic, complemented
20#22619859C211yesmaximal, characteristic, complemented
21#22619755C211yesmaximal, characteristic, complemented
22#22619617C211yesmaximal, characteristic, complemented
23#22619510C211yesmaximal, characteristic, complemented
24#22619482C211yesmaximal, characteristic, complemented
25#22619230C211yesmaximal, characteristic, complemented
26#22619169C211yesmaximal, characteristic, complemented
27#22618760C211yesmaximal, characteristic, complemented
28#22618622C211yesmaximal, characteristic, complemented
29#22618456C211yesmaximal, characteristic, complemented
30#416×D73C211yesmaximal, characteristic, complemented
31C73×#3319C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic
34C2×#14556620C2211yescharacteristic, complemented
35C2×#14556615C2211yescharacteristic
36C2×#14556610C2211yescharacteristic
37C2×#14556599C2211yescharacteristic
38C22×C8×D73C2211yescharacteristic, complemented
39#17989311C2211yescharacteristic, complemented
40#17989306—21no—
41#17989305C2211yescharacteristic, complemented
42#17989301C2211yescharacteristic, complemented
43#17989299—21no—
44#17989289C2211yescharacteristic, complemented
45#17989287C2211yescharacteristic, complemented
46#17989280—21no—
47#17989277C2211yescharacteristic, complemented
48#17989276C2211yescharacteristic, complemented
49#17989270—21no—
50#17989242C2211yescharacteristic
51#17989241C2211yescharacteristic
52#17989239C2211yescharacteristic
53#17989237—21no—
54#17989236C2211yescharacteristic
55#17989235—21no—
56#17989234C2211yescharacteristic
57#17989231C2211yescharacteristic
58#17989230C2211yescharacteristic
59#17989227—21no—
60#17989224—21no—
61#17989214C2211yescharacteristic, complemented
62#17989171—21no—
63#17989169—21no—
64#17989166C2211yescharacteristic
65#17989160C2211yescharacteristic
66#17989157C2211yescharacteristic
67#17989147—21no—
68#17989145—21no—
69#17989116—21no—
70#17989115—21no—
71#17989097C2211yescharacteristic
72#17989097C2211yescharacteristic, complemented
73#17989096C2211yescharacteristic
74C2×#14556573—21no—
75#123×D73—21no—
76#17989067C2211yescharacteristic
77#17989066C2211yescharacteristic, complemented
78#17989059C2211yescharacteristic
79#117×D73C2211yescharacteristic, complemented
80#17988956C2211yescharacteristic, complemented
81#17988954C2211yescharacteristic, complemented
82#17988945C2211yescharacteristic, complemented
83#17988941C2211yescharacteristic, complemented
84#17988940C2211yescharacteristic, complemented
85#17988939C2211yescharacteristic, complemented
86#17988936C2211yescharacteristic, complemented
87#17988931C2211yescharacteristic, complemented
88#17988930C2211yescharacteristic, complemented
89#17988930C2211yescharacteristic, complemented
90#17988929C2211yescharacteristic, complemented
91#17988928C2211yescharacteristic, complemented
92#17988928C2211yescharacteristic, complemented
93#17988927C2211yescharacteristic, complemented
94#17988923C2211yescharacteristic, complemented
95#17988921C2211yescharacteristic, complemented
96#17988919C2211yescharacteristic, complemented
97#17988915C2211yescharacteristic, complemented
98#17988910C2211yescharacteristic, complemented
99#17988909C2211yescharacteristic, complemented
100#17988908C2211yescharacteristic, complemented
101#17988890C2211yescharacteristic, complemented
102#17988888C2211yescharacteristic, complemented
103#17988887C2211yescharacteristic, complemented
104#17988885C2211yescharacteristic, complemented
105#17988875C2211yescharacteristic, complemented
106#17988874C2211yescharacteristic, complemented
107#17988866C2211yescharacteristic, complemented
108#17988845C2211yescharacteristic, complemented
109#17988844C2211yescharacteristic, complemented
110#17988832C2211yescharacteristic, complemented
111#17988829C2211yescharacteristic, complemented
112#17988829C2211yescharacteristic, complemented
113#17988828C2211yescharacteristic, complemented
114#17988826C2211yescharacteristic, complemented
115#17988820C2211yescharacteristic, complemented
116#17988815C2211yescharacteristic, complemented
117#17988815C2211yescharacteristic, complemented
118#17988814C2211yescharacteristic, complemented
119#17988814C2211yescharacteristic, complemented
120#17988814C2211yescharacteristic, complemented
121#17988813C2211yescharacteristic, complemented
122#17988808C2211yescharacteristic, complemented
123#17988806C2211yescharacteristic, complemented
124#17988800C2211yescharacteristic, complemented
125#17988798C2211yescharacteristic, complemented
126#17988796C2211yescharacteristic, complemented
127#17988792C2211yescharacteristic, complemented
128#17988790C2211yescharacteristic, complemented
129#17988752C2211yescharacteristic, complemented
130#17988751C2211yescharacteristic, complemented
131#17988751C2211yescharacteristic, complemented
132#17988750C2211yescharacteristic, complemented
133#17988750C2211yescharacteristic, complemented
134#17988749C2211yescharacteristic, complemented
135#17988739C2211yescharacteristic, complemented
136#17988738C2211yescharacteristic, complemented
137#17988731C2211yescharacteristic, complemented
138#17988730C2211yescharacteristic, complemented
139#17988730C2211yescharacteristic, complemented
140#17988729C2211yescharacteristic, complemented
141#17988729C2211yescharacteristic, complemented
142#17988719C2211yescharacteristic, complemented
143#17988696C2211yescharacteristic, complemented
144#17988689C2211yescharacteristic, complemented
145#17988684C2211yescharacteristic, complemented
146#17988674C2211yescharacteristic, complemented
147C4×#11924016C2211yescharacteristic, complemented
148D8×Dic73C2211yescharacteristic, complemented
149C4×#11924013C2211yescharacteristic, complemented
150#17988660C2211yescharacteristic, complemented
151#17988658C2211yescharacteristic, complemented
152#17988656C2211yescharacteristic, complemented
153D4×#10596831C2211yescharacteristic, complemented
154#17988652C2211yescharacteristic, complemented
155#17988650C2211yescharacteristic, complemented
156#17988650C2211yescharacteristic, complemented
157#17988628C2211yescharacteristic, complemented
158#17988626C2211yescharacteristic, complemented
159#17988624C2211yescharacteristic, complemented
160#17988612C2211yescharacteristic, complemented
161#17988594C2211yescharacteristic, complemented
162#17988590C2211yescharacteristic
163#17988590C2211yescharacteristic, complemented
164#17988589C2211yescharacteristic, complemented
165#17988585C2211yescharacteristic
166#17988585C2211yescharacteristic
167#17988585C2211yescharacteristic, complemented
168#17988584C2211yescharacteristic, complemented
169#17988583C2211yescharacteristic, complemented
170#17988582C2211yescharacteristic, complemented
171#17988582C2211yescharacteristic, complemented
172#17988581C2211yescharacteristic, complemented
173#17988581C2211yescharacteristic, complemented
174#17988580C2211yescharacteristic
175#17988580C2211yescharacteristic, complemented
176#17988580C2211yescharacteristic, complemented
177#17988580C2211yescharacteristic, complemented
178#17988580C2211yescharacteristic, complemented
179#103×D73C2211yescharacteristic, complemented
180#103×D73C2211yescharacteristic, complemented
181C2×#14556512C2211yescharacteristic, complemented
182#102×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic
184#102×D73C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic
186#17988549C2211yescharacteristic, complemented
187#17988544C2211yescharacteristic, complemented
188#555×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#474×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#447×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203#14556636—24no—
204#14556636—42no—
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×#11924028C2311yescharacteristic
209C2×#11924028C2311yescharacteristic
210C2×#11924027—21no—
211C2×#11924027—21no—
212C2×#11924027C2311yescharacteristic
213C2×#11924027C2311yescharacteristic
214C2×#11924027C2311yescharacteristic
215C2×#11924027C2311yescharacteristic
216#41×D73—24no—
217#41×D73—42no—
218C2×Q8×D73C2311yescharacteristic
219C22×C22⋊D73—21no—
220C22×C22⋊D73—21no—
221C2×D4×D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73C2311yescharacteristic
224C2×D4×D73C2311yescharacteristic
225C22×C4×D73—21no—
226C22×C4×D73C2311yescharacteristic
227#14556620—42no—
228#14556615—24no—
229#14556610—42no—
230C2×Dic292C2311yescharacteristic
231C2×Dic292C2311yescharacteristic
232C2×#11924018C2311yescharacteristic
233C2×#11924017C2311yescharacteristic
234C2×#11924016C2311yescharacteristic
235C2×#11924016C2311yescharacteristic
236C2×#11924016C2311yescharacteristic
237C2×#11924016C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239#14556599—42no—
240C2×#11924011C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C2×#11924011C2311yescharacteristic
243C22×#10596831C2311yescharacteristic
244C22×#10596831C2311yescharacteristic
245C2×C8×D73—42no—
246C2×C8×D73C2311yescharacteristic
247C2×C8×D73C2311yescharacteristic
248C2×C8×D73C2311yescharacteristic
249C2×C8×D73C2311yescharacteristic
250C2×C8×D73C2311yescharacteristic
251#14556591C2311yescharacteristic
252#14556590—21no—
253#14556590C2311yescharacteristic
254#14556589—21no—
255#14556589C2311yescharacteristic
256#14556586—21no—
257#14556586—21no—
258#14556585—21no—
259#14556584—21no—
260#14556584—21no—
261#14556584—21no—
262#14556584—21no—
263#14556584—21no—
264#14556583—21no—
265#14556583C2311yescharacteristic
266#14556582C2311yescharacteristic
267#14556581—21no—
268#14556581—21no—
269#14556580—21no—
270#14556578—21no—
271#14556578C2311yescharacteristic
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556576—21no—
276#14556576—21no—
277#14556576D411yescharacteristic
278#14556575—21no—
279#14556575—21no—
280#14556575—21no—
281#14556574—21no—
282#14556574—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573—21no—
289#14556573—21no—
290#14556573—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573D411yescharacteristic
295#14556572—21no—
296#14556572—21no—
297#14556572—21no—
298#14556571C2311yescharacteristic
299#14556571C2311yescharacteristic
300#14556571C2311yescharacteristic
301#14556571C2311yescharacteristic
302#14556570C2311yescharacteristic
303#14556570C2311yescharacteristic
304#14556570C2311yescharacteristic
305#14556570C2311yescharacteristic
306#14556569—21no—
307#14556569D411yescharacteristic
308#14556568—21no—
309#14556568—21no—
310#14556568—21no—
311#14556568D411yescharacteristic
312#14556567—21no—
313#14556567C2311yescharacteristic
314#14556565—21no—
315#14556564—21no—
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556564D411yescharacteristic
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563D411yescharacteristic
326#14556562—21no—
327#14556562—21no—
328#14556562—21no—
329#14556562C2311yescharacteristic
330#14556562C2311yescharacteristic
331#14556562C2311yescharacteristic
332#14556561—21no—
333#14556561D411yescharacteristic
334#14556560—21no—
335#14556559—21no—
336#14556559—21no—
337#14556559—21no—
338#14556559D411yescharacteristic
339Q8×Dic73—21no—
340C4×Dic146—21no—
341C4×Dic146—21no—
342C4×Dic146C2311yescharacteristic
343#14556556C2311yescharacteristic
344C4×D292—21no—
345C4×D292C2311yescharacteristic
346C4×D292C2311yescharacteristic
347D4×Dic73—21no—
348D4×Dic73—21no—
349D4×Dic73—21no—
350D4×Dic73C2311yescharacteristic
351D4×Dic73C2311yescharacteristic
352#14556553C2311yescharacteristic
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73C2311yescharacteristic
357C4×C22⋊D73C2311yescharacteristic
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556550C2311yescharacteristic
365#14556549C2311yescharacteristic
366#14556549C2311yescharacteristic
367#14556549C2311yescharacteristic
368#14556549C2311yescharacteristic
369#14556549C2311yescharacteristic
370#14556548—21no—
371#14556548—21no—
372#14556548C2311yescharacteristic
373#14556547—21no—
374#14556547—21no—
375#14556547—21no—
376#14556547—21no—
377C2×C4⋊Dic73—21no—
378C2×C4⋊Dic73C2311yescharacteristic
379C2×#11924007—21no—
380C2×#11924007—21no—
381C4⋊C4×D73—21no—
382C4⋊C4×D73—21no—
383C4⋊C4×D73C2311yescharacteristic
384C4⋊C4×D73C2311yescharacteristic
385C4⋊C4×D73C2311yescharacteristic
386C2×C22⋊Dic73—21no—
387C2×#11924005—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C42×D73—21no—
393#14556525C2311yescharacteristic
394#14556525C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556523C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556512C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556501C2311yescharacteristic
442C4×#10596831C2311yescharacteristic
443C8×Dic73C2311yescharacteristic
444C2×#41×C73C2311yescharacteristic
445C22×D4×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×D8×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C2×M16×C73C2311yescharacteristic
450C22×C8×C73C2311yescharacteristic
451C4⋊Q8×C73C2311yescharacteristic
452#124×C73—21no—
453#124×C73—21no—
454#124×C73C2311yescharacteristic
455#123×C73—21no—
456C22⋊Q8×C73C2311yescharacteristic
457#121×C73—21no—
458#121×C73—21no—
459#121×C73C2311yescharacteristic
460#121×C73C2311yescharacteristic
461#121×C73C2311yescharacteristic
462#120×C73—21no—
463C4×D4×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466#117×C73—21no—
467#117×C73C2311yescharacteristic
468#117×C73C2311yescharacteristic
469C2×C22⋊C4×C73—21no—
470#107×C73C2311yescharacteristic
471#107×C73C2311yescharacteristic
472#106×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C22⋊C8×C73C2311yescharacteristic
485C22⋊C8×C73C2311yescharacteristic
486#97×C73C2311yescharacteristic
487C23×D73—21no—
488C23×D73—21no—
489C23×D73C2×D411yescharacteristic
490#11924029—22no—
491#11924029—41no—
492#11924028—22no—
493#11924028—22no—
494#11924028—22no—
495#11924028—22no—
496#11924028—41no—
497#11924028—41no—
498#11924028—44no—
499#11924027—22no—
500#11924027—22no—
501#11924027—22no—
502#11924027—22no—
503#11924027—22no—
504#11924027—22no—
505#11924027—41no—
506#11924027—41no—
507#11924027—44no—
508#11924027—44no—
509C2×Dic146—21no—
510C2×Dic146—21no—
511C2×Dic146C2×D411yescharacteristic
512C2×Dic146C2411yescharacteristic
513C2×Dic146C2411yescharacteristic
514C2×Dic146C2411yescharacteristic
515Q8×D73—22no—
516Q8×D73—22no—
517C2×D292—21no—
518C2×D292C2×D411yescharacteristic
519C2×D292C2×D411yescharacteristic
520C2×D292C2411yescharacteristic
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—44no—
533C2×C22⋊D73—44no—
534C2×C22⋊D73C2×D411yescharacteristic
535C2×C22⋊D73C2×D411yescharacteristic
536C2×C22⋊D73C2×D411yescharacteristic
537C2×C22⋊D73C2×D411yescharacteristic
538D4×D73—22no—
539D4×D73—22no—
540D4×D73—41no—
541D4×D73—44no—
542D4×D73—44no—
543D4×D73#4114yes—
544C22×Dic73—21no—
545C22×Dic73—21no—
546C22×Dic73—21no—
547C22×Dic73—21no—
548C22×Dic73—21no—
549C22×Dic73—21no—
550C22×Dic73—21no—
551C22×Dic73C2×D411yescharacteristic
552C2×C4×D73—22no—
553C2×C4×D73—22no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—44no—
564C2×C4×D73C2×D411yescharacteristic
565C2×C4×D73C2×D411yescharacteristic
566C2×C4×D73C2411yescharacteristic
567C2×C4×D73C2411yescharacteristic
568C2×C4×D73C2411yescharacteristic
569Dic292—41no—
570Dic292—41no—
571#11924018—41no—
572#11924017—22no—
573#11924016—22no—
574#11924016—41no—
575#11924016—41no—
576#11924016—41no—
577#11924013—22no—
578#11924011—22no—
579#11924011—22no—
580#11924011—41no—
581C2×#10596831—41no—
582C2×#10596831—41no—
583C2×#10596831C2411yescharacteristic
584C2×#10596831C2411yescharacteristic
585C2×#10596831C2411yescharacteristic
586C2×#10596831C2411yescharacteristic
587C8×D73—22no—
588C8×D73—22no—
589C8×D73—41no—
590C8×D73—41no—
591C8×D73—41no—
592C4⋊Dic73—21no—
593C4⋊Dic73—21no—
594C4⋊Dic73—21no—
595C4⋊Dic73—21no—
596C4⋊Dic73—21no—
597C4⋊Dic73—21no—
598C4⋊Dic73—21no—
599C4⋊Dic73—21no—
600C4⋊Dic73C2×D411yescharacteristic
601C4⋊Dic73C2411yescharacteristic
602C4⋊Dic73C2411yescharacteristic
603C4⋊Dic73C2411yescharacteristic
604C4⋊Dic73C2411yescharacteristic
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007C2×D411yescharacteristic
622#11924007C2×D411yescharacteristic
623#11924007C2×D411yescharacteristic
624#11924007C2×D411yescharacteristic
625C22⋊Dic73—21no—
626C22⋊Dic73—21no—
627C22⋊Dic73—21no—
628C22⋊Dic73—21no—
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73—21no—
633C22⋊Dic73—21no—
634C22⋊Dic73—21no—
635C22⋊Dic73—21no—
636C22⋊Dic73—21no—
637C22⋊Dic73C2×D411yescharacteristic
638C22⋊Dic73C2×D411yescharacteristic
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005C2×D411yescharacteristic
652#11924005C2×D411yescharacteristic
653#11924005C2×D411yescharacteristic
654#11924005C2×D411yescharacteristic
655#11924005C2×D411yescharacteristic
656#11924005C2×D411yescharacteristic
657C4×Dic73—21no—
658C4×Dic73—21no—
659C4×Dic73—21no—
660C4×Dic73—21no—
661C4×Dic73—21no—
662C4×Dic73—21no—
663C4×Dic73—21no—
664C4×Dic73—21no—
665C4×Dic73C2411yescharacteristic
666C24×C73—21no—
667#41×C73—22no—
668#41×C73—41no—
669C2×Q8×C73—21no—
670C2×Q8×C73C2411yescharacteristic
671C2×D4×C73—22no—
672C2×D4×C73—21no—
673C2×D4×C73—21no—
674C2×D4×C73—21no—
675C2×D4×C73—21no—
676C2×D4×C73—21no—
677C2×D4×C73—41no—
678C2×D4×C73C2×D411yescharacteristic
679C2×D4×C73C2411yescharacteristic
680C2×D4×C73C2411yescharacteristic
681C2×D4×C73C2411yescharacteristic
682C22×C4×C73—21no—
683C22×C4×C73—21no—
684C22×C4×C73—21no—
685C22×C4×C73C2411yescharacteristic
686C22×C4×C73C2411yescharacteristic
687SD16×C73—41no—
688D8×C73—22no—
689D8×C73—41no—
690M16×C73—41no—
691C2×C8×C73—41no—
692C2×C8×C73C2411yescharacteristic
693C2×C8×C73C2411yescharacteristic
694C2×C8×C73C2411yescharacteristic
695C2×C8×C73C2411yescharacteristic
696C4⋊C4×C73—21no—
697C4⋊C4×C73—21no—
698C4⋊C4×C73C2×D411yescharacteristic
699C4⋊C4×C73C2411yescharacteristic
700C4⋊C4×C73C2411yescharacteristic
701C4⋊C4×C73C2411yescharacteristic
702C4⋊C4×C73C2411yescharacteristic
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C22⋊C4×C73—21no—
707C22⋊C4×C73—21no—
708C22⋊C4×C73—21no—
709C22⋊C4×C73—21no—
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73C2×D411yescharacteristic
714C22⋊C4×C73C2×D411yescharacteristic
715C42×C73—21no—
716C42×C73—21no—
717C42×C73C2411yescharacteristic
718C23×C73—21no—
719C23×C73—21no—
720C23×C73—21no—
721C23×C73—42no—
722C23×C73—81no—
723C23×C73—81no—
724C23×C73C22×D411yescharacteristic
725C23×C73C22×D411yescharacteristic
726C22×D73—21no—
727C22×D73—22no—
728C22×D73—24no—
729C22×D73—41no—
730C22×D73—41no—
731C22×D73—42no—
732C22×D73—81no—
733C22×D73—81no—
734C22×D73—81no—
735C22×D73—81no—
736C22×D73C22×D411yescharacteristic
737C22×D73C22×D411yescharacteristic
738C22×D73C22×D411yescharacteristic
739Q8×C73—21no—
740Q8×C73—21no—
741Q8×C73—81no—
742D4×C73—21no—
743D4×C73—21no—
744D4×C73—21no—
745D4×C73—21no—
746D4×C73—21no—
747D4×C73—41no—
748D4×C73—42no—
749D4×C73—42no—
750D4×C73—81no—
751D4×C73—81no—
752D4×C73—81no—
753D4×C73C2×#4112yes—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—42no—
764C2×C4×C73—81no—
765C2×C4×C73—81no—
766C2×C4×C73C22×D411yescharacteristic
767C2×C4×C73C22×D411yescharacteristic
768C2×C4×C73C22×D411yescharacteristic
769C2×C4×C73C22×D411yescharacteristic
770C2×C4×C73C2511yescharacteristic
771C22⋊D73—22no—
772C22⋊D73—24no—
773C22⋊D73—22no—
774C22⋊D73—41no—
775C22⋊D73—41no—
776C22⋊D73—42no—
777C22⋊D73—42no—
778C22⋊D73—42no—
779C22⋊D73—42no—
780C22⋊D73—42no—
781C22⋊D73—42no—
782C22⋊D73—42no—
783C22⋊D73—81no—
784C22⋊D73—81no—
785C22⋊D73—81no—
786C2×Dic73—22no—
787C2×Dic73—21no—
788C2×Dic73—21no—
789C2×Dic73—21no—
790C2×Dic73—21no—
791C2×Dic73—21no—
792C2×Dic73—21no—
793C2×Dic73—21no—
794C2×Dic73—42no—
795C2×Dic73—42no—
796C2×Dic73—42no—
797C2×Dic73—42no—
798C2×Dic73—81no—
799C2×Dic73—81no—
800C2×Dic73—81no—
801C2×Dic73C22×D411yescharacteristic
802C2×Dic73C22×D411yescharacteristic
803C2×Dic73C22×D411yescharacteristic
804C2×Dic73C22×D411yescharacteristic
805C2×Dic73C22×D411yescharacteristic
806D292—22no—
807D292—21no—
808D292—41no—
809D292—42no—
810D292C2×#4112yes—
811C4×D73—22no—
812C4×D73—21no—
813C4×D73—21no—
814C4×D73—21no—
815C4×D73—21no—
816C4×D73—22no—
817C4×D73—42no—
818C4×D73—42no—
819C4×D73—42no—
820C4×D73—42no—
821C4×D73—81no—
822C4×D73—81no—
823C4×D73—81no—
824C4×D73—81no—
825C4×D73—81no—
826C4×D73C2×#4112yes—
827C4×D73H(5,𝔽2)12yes—
828Dic146—22no—
829Dic146—21no—
830Dic146—21no—
831Dic146—21no—
832Dic146—21no—
833Dic146—21no—
834Dic146—21no—
835Dic146—42no—
836Dic146—81no—
837C8×C73—21no—
838C8×C73—21no—
839C8×C73—21no—
840C8×C73—21no—
841#10596831—21no—
842#10596831—21no—
843#10596831—21no—
844#10596831—21no—
845C22×C73—21no—
846C22×C73—21no—
847C22×C73—21no—
848C22×C73—21no—
849C22×C73—21no—
850C22×C73—22no—
851C22×C73—21no—
852C22×C73—41no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—41no—
859C22×C73—41no—
860C22×C73—162no—
861C22×C73C23×D411yescharacteristic
862C2×D73—21no—
863C2×D73—21no—
864C2×D73—21no—
865C2×D73—21no—
866C2×D73—21no—
867C2×D73—21no—
868C2×D73—21no—
869C2×D73—21no—
870C2×D73—22no—
871C2×D73—44no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—84no—
875C2×D73—162no—
876C2×D73#54612yes—
877C4×C73—21no—
878C4×C73—21no—
879C4×C73—21no—
880C4×C73—21no—
881C4×C73—41no—
882C4×C73—41no—
883C4×C73—41no—
884C4×C73—41no—
885C4×C73—41no—
886C4×C73C22×#4111yescharacteristic
887C4×C73C2×H(5,𝔽2)11yescharacteristic
888Dic73—21no—
889Dic73—21no—
890Dic73—21no—
891Dic73—21no—
892Dic73—41no—
893Dic73—41no—
894Dic73—41no—
895Dic73—41no—
896Dic73—41no—
897Dic73—41no—
898Dic73—41no—
899Dic73#54612yes—
900#61169—731nomaximal, Sylow
901C2×C73—41no—
902C2×C73—42no—
903C2×C73—41no—
904C2×C73—81no—
905C2×C73—81no—
906C2×C73C2×#54611yescharacteristic
907C2×C73#358411yescharacteristic
908C2×C73#358411yescharacteristic
909D73—22no—
910D73—41no—
911D73—41no—
912D73—42no—
913#3493—731no—
914#3485—731no—
915#3319—731no—
916#3319D7311yescharacteristic, complemented
917#3315—731no—
918#3315—731no—
919#3311—731no—
920#3311—731no—
921#3307—731no—
922#3307—731no—
923#3303—731no—
924#3303—731no—
925#3302—731no—
926#3302—731no—
927#3297—731no—
928#3297—731no—
929#3296—731no—
930#3296—731no—
931#3137—731no—
932#3097—731no—
933#3093—731no—
934#3081—731no—
935#3063—731no—
936#3050—731no—
937#3046—731no—
938#3012—731no—
939#3005—731no—
940#2946—731no—
941#2929—731no—
942#2897—731no—
943C2×#416—731no—
944C73#6116911yescharacteristic, complemented, Sylow
945C2×H(5,𝔽2)—731no—
946C22×#41—731no—
947C2×#137—731no—
948C2×AGL(1,ℤ/8)—731no—
949C2×#135—731no—
950C2×#131—731no—
951C23×C8—731no—
952#556—731no—
953#556—731no—
954#556—1461no—
955#555—731no—
956#555—1461no—
957#555C2×D7311yescharacteristic, complemented
958#553—731no—
959#553—731no—
960#553—1461no—
961#552—731no—
962#552—731no—
963#552—1461no—
964#547—731no—
965#547—731no—
966#547—731no—
967#547—731no—
968#547—1461no—
969#547—1461no—
970#546—731no—
971#546—731no—
972#546—731no—
973#546—1461no—
974#546—1461no—
975#546C2×D7311yescharacteristic
976#544—731no—
977#538—1461no—
978#538—1461no—
979#537—731no—
980#536—731no—
981#536—731no—
982#534—1461no—
983#534—1461no—
984#529—1461no—
985#529—1461no—
986#525—731no—
987#525—731no—
988#525—731no—
989C2×#123—1461no—
990C2×#123—1461no—
991#520—731no—
992#520—731no—
993#518—731no—
994C2×#117—731no—
995#491—731no—
996#491—731no—
997#489—731no—
998#489C2×D7311yescharacteristic, complemented
999#488—731no—
1000#488—731no—
1001#487—731no—
1002#487—731no—
1003#485—731no—
1004#485—731no—
1005#485—731no—
1006#485—731no—
1007#485—731no—
1008#485—731no—
1009#485—731no—
1010#485C2×D7311yescharacteristic, complemented
1011#484—731no—
1012#484—731no—
1013#483—731no—
1014#483—731no—
1015#482—731no—
1016#482—731no—
1017#482—731no—
1018#482C2×D7311yescharacteristic, complemented
1019#478—731no—
1020#478—731no—
1021#478—731no—
1022#478—731no—
1023#476—731no—
1024#476—731no—
1025#474—731no—
1026#474C2×D7311yescharacteristic, complemented
1027#470—731no—
1028#470—731no—
1029#468—731no—
1030#468C2×D7311yescharacteristic, complemented
1031#467—731no—
1032#467—731no—
1033#467—731no—
1034#467—731no—
1035#466—731no—
1036#466C2×D7311yescharacteristic, complemented
1037#465—731no—
1038#465—731no—
1039#465—731no—
1040#465—731no—
1041#465—731no—
1042#465—731no—
1043#464—731no—
1044#464—731no—
1045#463—731no—
1046#463C2×D7311yescharacteristic, complemented
1047#462—731no—
1048#462—731no—
1049#461—731no—
1050#461—731no—
1051#452—731no—
1052#452—731no—
1053#452—731no—
1054#452—731no—
1055#452—731no—
1056#452—731no—
1057#450—731no—
1058#450—731no—
1059#449—731no—
1060#449—731no—
1061#449—731no—
1062#449—731no—
1063#449—731no—
1064#449C2×D7311yescharacteristic, complemented
1065#447—731no—
1066#447C2×D7311yescharacteristic, complemented
1067#442—731no—
1068#442C2×D7311yescharacteristic, complemented
1069#440—731no—
1070#440—731no—
1071C4×SD16—731no—
1072C4×SD16—731no—
1073C4×D8—731no—
1074C4×D8—731no—
1075#435—731no—
1076#435—731no—
1077#435—731no—
1078#435C2×D7311yescharacteristic, complemented
1079C8×D4—731no—
1080C8×D4—731no—
1081C8×D4—731no—
1082C8×D4—731no—
1083#428—731no—
1084#428—731no—
1085#427—731no—
1086#424—731no—
1087#419—731no—
1088#418—731no—
1089#418—731no—
1090#418C2×D7311yescharacteristic, complemented
1091#417—731no—
1092#417—731no—
1093#417—731no—
1094#417—731no—
1095#416—731no—
1096#416—731no—
1097#416—731no—
1098#416—731no—
1099#416—731no—
1100#416—731no—
1101#416—731no—
1102#416—731no—
1103#416—731no—
1104#416—731no—
1105#416—731no—
1106#416C2×D7311yescharacteristic, complemented
1107C2×#103—731no—
1108C2×#103—731no—
1109C2×#102—731no—
1110C2×#102—731no—
1111C2×#102—731no—
1112C2×#102—731no—
1113#408—731no—
1114#407—731no—
1115#405—731no—
1116H(5,𝔽2)—2922no—
1117H(5,𝔽2)—1464no—
1118C2×#41—2922no—
1119C2×#41—731no—
1120C2×#41—731no—
1121C2×#41—731no—
1122C2×#41—731no—
1123C2×#41—731no—
1124C2×#41—731no—
1125C2×#41—731no—
1126C2×#41—731no—
1127C2×#41—1461no—
1128C2×#41—1464no—
1129C2×#41—1461no—
1130C2×#41—1461no—
1131C2×#41C22×D7311yescharacteristic
1132C22×Q8—731no—
1133C22×D4—731no—
1134C22×D4—731no—
1135C22×D4—1461no—
1136C22×D4—1461no—
1137C22×D4—1461no—
1138C22×D4—1461no—
1139C22×D4C22×D7311yescharacteristic
1140C23×C4—731no—
1141C23×C4—1461no—
1142#137—2922no—
1143AGL(1,ℤ/8)—1464no—
1144#135—2922no—
1145C2×Q16—731no—
1146C2×Q16—731no—
1147C2×Q16—731no—
1148C2×SD16—731no—
1149C2×SD16—731no—
1150C2×SD16—731no—
1151C2×SD16—731no—
1152C2×SD16—731no—
1153C2×SD16C22×D7311yescharacteristic
1154C2×D8—731no—
1155C2×D8C22×D7311yescharacteristic
1156C2×D8C22×D7311yescharacteristic
1157#131—2922no—
1158C2×M16—731no—
1159C2×M16—731no—
1160C2×M16—731no—
1161C2×M16C22×D7311yescharacteristic
1162C22×C8—2922no—
1163C22×C8—731no—
1164C22×C8—731no—
1165C22×C8—731no—
1166C22×C8—731no—
1167C22×C8—731no—
1168C22×C8—731no—
1169C22×C8—731no—
1170C22×C8C22×D7311yescharacteristic
1171C4⋊Q8—731no—
1172C4⋊Q8—731no—
1173C4⋊Q8—731no—
1174C4⋊Q8—1461no—
1175C4⋊Q8—1461no—
1176C4⋊Q8C22×D7311yescharacteristic
1177#126—1461no—
1178#126—1461no—
1179#126—1461no—
1180#126—1461no—
1181#126—1461no—
1182#126—1461no—
1183#126—1461no—
1184#126—1461no—
1185#125—731no—
1186#125—731no—
1187#125—1461no—
1188#125—1461no—
1189#125—1461no—
1190#124—21no—
1191#124—21no—
1192#124—731no—
1193#124—1461no—
1194#124—1461no—
1195#124—1461no—
1196#124—1461no—
1197#124—1461no—
1198#124C22×D7311yescharacteristic
1199#123—21no—
1200#123—731no—
1201#123—731no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206#123—1461no—
1207#123—1461no—
1208#123—1461no—
1209#123—1461no—
1210#123—1461no—
1211#123—1461no—
1212#123—1461no—
1213#123—1461no—
1214#123—1461no—
1215#123—1461no—
1216#123—1461no—
1217#123—1461no—
1218#123—1461no—
1219#123—1461no—
1220#123—1461no—
1221#123—1461no—
1222#123—1461no—
1223C22⋊Q8—731no—
1224C22⋊Q8—731no—
1225C22⋊Q8—731no—
1226C22⋊Q8—731no—
1227C22⋊Q8—731no—
1228C22⋊Q8—731no—
1229C22⋊Q8—731no—
1230C22⋊Q8—731no—
1231C22⋊Q8—731no—
1232C22⋊Q8—731no—
1233C22⋊Q8—731no—
1234C22⋊Q8—1461no—
1235C22⋊Q8—1461no—
1236C22⋊Q8—1461no—
1237C22⋊Q8—1461no—
1238C22⋊Q8—1461no—
1239C22⋊Q8C22×D7311yescharacteristic
1240#121—21no—
1241#121—21no—
1242#121—731no—
1243#121—731no—
1244#121—731no—
1245#121—731no—
1246#121—731no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121—1461no—
1251#121—1461no—
1252#121—1461no—
1253#121—1461no—
1254#121—1461no—
1255#121—1461no—
1256#121—1461no—
1257#121—1461no—
1258#121—1461no—
1259#121—1461no—
1260#121C22×D7311yescharacteristic
1261#121C22×D7311yescharacteristic
1262#121C22×D7311yescharacteristic
1263#120—21no—
1264#120—731no—
1265#120—731no—
1266#120—1461no—
1267#120—1461no—
1268#120—1461no—
1269#120—1461no—
1270#120—1461no—
1271C4×Q8—731no—
1272C4×Q8—731no—
1273C4×Q8—1461no—
1274C4×Q8—1461no—
1275C4×Q8—1461no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—731no—
1281C4×D4—731no—
1282C4×D4—731no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4C22×D7311yescharacteristic
1297C4×D4C22×D7311yescharacteristic
1298C4×D4C22×D7311yescharacteristic
1299#117—21no—
1300#117—731no—
1301#117—731no—
1302#117—731no—
1303#117—731no—
1304#117—731no—
1305#117—731no—
1306#117—731no—
1307#117—1461no—
1308#117—1461no—
1309#117—1461no—
1310#117—1461no—
1311#117—1461no—
1312#117—1461no—
1313#117C22×D7311yescharacteristic
1314#117C22×D7311yescharacteristic
1315C2×C4⋊C4—731no—
1316C2×C4⋊C4—731no—
1317C2×C4⋊C4—731no—
1318C2×C4⋊C4—731no—
1319C2×C4⋊C4—1461no—
1320C2×C4⋊C4—1461no—
1321C2×C4⋊C4—1461no—
1322C2×C4⋊C4—1461no—
1323C2×C4⋊C4—1461no—
1324C2×C22⋊C4—21no—
1325C2×C22⋊C4—1461no—
1326C2×C22⋊C4—1461no—
1327C2×C22⋊C4—1461no—
1328C2×C22⋊C4—1461no—
1329C2×C22⋊C4—1461no—
1330C2×C22⋊C4—1461no—
1331C2×C42—1461no—
1332#107—731no—
1333#107—731no—
1334#107—731no—
1335#107—731no—
1336#107C22×D7311yescharacteristic
1337#107C22×D7311yescharacteristic
1338#106—731no—
1339#106—731no—
1340#106—731no—
1341#106—731no—
1342#106—731no—
1343#106C22×D7311yescharacteristic
1344C4⋊C8—731no—
1345C4⋊C8—731no—
1346C4⋊C8—731no—
1347C4⋊C8C22×D7311yescharacteristic
1348#103—731no—
1349#103—731no—
1350#103—731no—
1351#103—731no—
1352#103—731no—
1353#103—731no—
1354#103—731no—
1355#103—731no—
1356#103—731no—
1357#103—731no—
1358#103—731no—
1359#103—731no—
1360#103—731no—
1361#103—731no—
1362#103—731no—
1363#103—731no—
1364#103—731no—
1365#103C22×D7311yescharacteristic
1366#103C22×D7311yescharacteristic
1367#103C22×D7311yescharacteristic
1368#102—731no—
1369#102—731no—
1370#102—731no—
1371#102—731no—
1372#102—731no—
1373#102—731no—
1374#102—731no—
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102C22×D7311yescharacteristic
1382#102C22×D7311yescharacteristic
1383#102C22×D7311yescharacteristic
1384#102C22×D7311yescharacteristic
1385#102C22×D7311yescharacteristic
1386#102C22×D7311yescharacteristic
1387#102C22×D7311yescharacteristic
1388C22⋊C8—731no—
1389C22⋊C8—731no—
1390C22⋊C8—731no—
1391C22⋊C8—731no—
1392C22⋊C8—731no—
1393C22⋊C8—731no—
1394C22⋊C8C22×D7311yescharacteristic
1395C22⋊C8C22×D7311yescharacteristic
1396#97—731no—
1397#97C22×D7311yescharacteristic
1398C4×C8—731no—
1399C4×C8—731no—
1400C24—21no—
1401C24—731no—
1402C24—1461no—
1403C24—1461no—
1404#41—22no—
1405#41—41no—
1406#41—2921no—
1407#41—2921no—
1408#41—2924no—
1409#41—2924no—
1410#41—2921no—
1411#41—2921no—
1412#41—2924no—
1413#41—2921no—
1414#41—1462no—
1415#41—1462no—
1416#41—1462no—
1417#41—1462no—
1418#41—1462no—
1419#41—1462no—
1420#41—1462no—
1421#41—1462no—
1422#41—1462no—
1423#41—1462no—
1424#41—1462no—
1425C2×Q8—21no—
1426C2×Q8—731no—
1427C2×Q8—731no—
1428C2×Q8—731no—
1429C2×Q8—731no—
1430C2×Q8—1461no—
1431C2×Q8—1461no—
1432C2×Q8—1462no—
1433C2×Q8—1462no—
1434C2×Q8C23×D7311yescharacteristic
1435C2×D4—22no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—41no—
1442C2×D4—2924no—
1443C2×D4—2924no—
1444C2×D4—2924no—
1445C2×D4—2924no—
1446C2×D4—2921no—
1447C2×D4—731no—
1448C2×D4—731no—
1449C2×D4—734no—
1450C2×D4—731no—
1451C2×D4—731no—
1452C2×D4—731no—
1453C2×D4—731no—
1454C2×D4—731no—
1455C2×D4—1461no—
1456C2×D4—1462no—
1457C2×D4—1461no—
1458C2×D4—1461no—
1459C2×D4—1462no—
1460C2×D4—1461no—
1461C2×D4—1461no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4D4×D7311yescharacteristic
1470C2×D4C23×D7311yescharacteristic
1471C2×D4C23×D7311yescharacteristic
1472C2×D4C23×D7311yescharacteristic
1473C22×C4—21no—
1474C22×C4—21no—
1475C22×C4—21no—
1476C22×C4—2924no—
1477C22×C4—731no—
1478C22×C4—731no—
1479C22×C4—731no—
1480C22×C4—731no—
1481C22×C4—731no—
1482C22×C4—731no—
1483C22×C4—1461no—
1484C22×C4—1461no—
1485C22×C4—1461no—
1486C22×C4—1461no—
1487C22×C4—1461no—
1488C22×C4—1461no—
1489C22×C4—1462no—
1490C22×C4—1462no—
1491C22×C4—1461no—
1492C22×C4—1461no—
1493C22×C4—1461no—
1494C22×C4—1461no—
1495C22×C4—1461no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4C23×D7311yescharacteristic
1502C22×C4C23×D7311yescharacteristic
1503Q16—2921no—
1504Q16—2921no—
1505Q16—2921no—
1506SD16—41no—
1507SD16—2921no—
1508SD16—2921no—
1509SD16—2921no—
1510SD16—1462no—
1511SD16—1462no—
1512D8—22no—
1513D8—41no—
1514D8—1462no—
1515M16—41no—
1516M16—2921no—
1517M16—1462no—
1518M16—1462no—
1519C2×C8—41no—
1520C2×C8—2921no—
1521C2×C8—2921no—
1522C2×C8—2921no—
1523C2×C8—2921no—
1524C2×C8—2921no—
1525C2×C8—731no—
1526C2×C8—731no—
1527C2×C8—731no—
1528C2×C8—731no—
1529C2×C8—1462no—
1530C2×C8—1462no—
1531C2×C8C23×D7311yescharacteristic
1532C2×C8C23×D7311yescharacteristic
1533C2×C8C23×D7311yescharacteristic
1534C2×C8C23×D7311yescharacteristic
1535C4⋊C4—21no—
1536C4⋊C4—21no—
1537C4⋊C4—731no—
1538C4⋊C4—731no—
1539C4⋊C4—731no—
1540C4⋊C4—731no—
1541C4⋊C4—731no—
1542C4⋊C4—731no—
1543C4⋊C4—731no—
1544C4⋊C4—731no—
1545C4⋊C4—731no—
1546C4⋊C4—1461no—
1547C4⋊C4—1461no—
1548C4⋊C4—1461no—
1549C4⋊C4—1461no—
1550C4⋊C4—1461no—
1551C4⋊C4—1461no—
1552C4⋊C4—1461no—
1553C4⋊C4—1461no—
1554C4⋊C4—1461no—
1555C4⋊C4—1461no—
1556C4⋊C4—1461no—
1557C4⋊C4—1461no—
1558C4⋊C4—1461no—
1559C4⋊C4—1461no—
1560C4⋊C4—1461no—
1561C4⋊C4—1461no—
1562C4⋊C4—1461no—
1563C4⋊C4—1461no—
1564C4⋊C4—1461no—
1565C4⋊C4—1461no—
1566C4⋊C4—1461no—
1567C4⋊C4—1461no—
1568C4⋊C4—1461no—
1569C4⋊C4—1461no—
1570C4⋊C4D4×D7311yescharacteristic
1571C4⋊C4C23×D7311yescharacteristic
1572C4⋊C4C23×D7311yescharacteristic
1573C4⋊C4C23×D7311yescharacteristic
1574C4⋊C4C23×D7311yescharacteristic
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—21no—
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—731no—
1586C22⋊C4—731no—
1587C22⋊C4—731no—
1588C22⋊C4—731no—
1589C22⋊C4—731no—
1590C22⋊C4—731no—
1591C22⋊C4—731no—
1592C22⋊C4—731no—
1593C22⋊C4—1461no—
1594C22⋊C4—1461no—
1595C22⋊C4—1461no—
1596C22⋊C4—1461no—
1597C22⋊C4—1461no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4D4×D7311yescharacteristic
1618C22⋊C4D4×D7311yescharacteristic
1619C42—21no—
1620C42—21no—
1621C42—731no—
1622C42—1461no—
1623C42—1461no—
1624C42—1461no—
1625C42—1461no—
1626C42—1461no—
1627C42—1461no—
1628C42—1461no—
1629C42—1461no—
1630C42C23×D7311yescharacteristic
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—42no—
1635C23—81no—
1636C23—81no—
1637C23—2921no—
1638C23—2921no—
1639C23—2922no—
1640C23—5841no—
1641C23—5841no—
1642C23—5841no—
1643C23—5841no—
1644C23—731no—
1645C23—731no—
1646C23—731no—
1647C23—1462no—
1648C23—1464no—
1649C23—1461no—
1650C23C2×D4×D7311yescharacteristic
1651C23C2×D4×D7311yescharacteristic
1652Q8—21no—
1653Q8—21no—
1654Q8—81no—
1655Q8—2922no—
1656Q8—5841no—
1657Q8—1462no—
1658Q8—1461no—
1659Q8—1461no—
1660Q8—1461no—
1661Q8—1461no—
1662Q8—1461no—
1663Q8—1461no—
1664D4—21no—
1665D4—21no—
1666D4—21no—
1667D4—21no—
1668D4—21no—
1669D4—41no—
1670D4—42no—
1671D4—42no—
1672D4—81no—
1673D4—81no—
1674D4—81no—
1675D4—2921no—
1676D4—2922no—
1677D4—2922no—
1678D4—2922no—
1679D4—2922no—
1680D4—2922no—
1681D4—2922no—
1682D4—2922no—
1683D4—2921no—
1684D4—2921no—
1685D4—2922no—
1686D4—5841no—
1687D4—5841no—
1688D4—5841no—
1689D4—732no—
1690D4—1462no—
1691D4—1462no—
1692D4—1464no—
1693D4—1462no—
1694D4—1461no—
1695D4#41×D7312yes—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—42no—
1706C2×C4—81no—
1707C2×C4—81no—
1708C2×C4—2922no—
1709C2×C4—2922no—
1710C2×C4—2922no—
1711C2×C4—2922no—
1712C2×C4—2922no—
1713C2×C4—2922no—
1714C2×C4—2922no—
1715C2×C4—2922no—
1716C2×C4—5841no—
1717C2×C4—5841no—
1718C2×C4—5841no—
1719C2×C4—5841no—
1720C2×C4—5841no—
1721C2×C4—5841no—
1722C2×C4—5841no—
1723C2×C4—5841no—
1724C2×C4—731no—
1725C2×C4—732no—
1726C2×C4—732no—
1727C2×C4—731no—
1728C2×C4—731no—
1729C2×C4—731no—
1730C2×C4—731no—
1731C2×C4—1462no—
1732C2×C4—1462no—
1733C2×C4—1461no—
1734C2×C4—1461no—
1735C2×C4—1461no—
1736C2×C4—1461no—
1737C2×C4—1461no—
1738C2×C4—1461no—
1739C2×C4—1461no—
1740C2×C4—1462no—
1741C2×C4—1461no—
1742C2×C4—1461no—
1743C2×C4—1461no—
1744C2×C4—1461no—
1745C2×C4C2×D4×D7311yescharacteristic
1746C2×C4C2×D4×D7311yescharacteristic
1747C2×C4C2×D4×D7311yescharacteristic
1748C2×C4C2×D4×D7311yescharacteristic
1749C2×C4C24×D7311yescharacteristic
1750C8—21no—
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—1461no—
1755C8—1461no—
1756C8—1461no—
1757C8—1461no—
1758C22—21no—
1759C22—21no—
1760C22—22no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—21no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—162no—
1774C22—2924no—
1775C22—2921no—
1776C22—2921no—
1777C22—5844no—
1778C22—732no—
1779C22—11682no—
1780C22—1462no—
1781C22—1461no—
1782C22—1461no—
1783C22—1461no—
1784C22—1461no—
1785C22—1461no—
1786C22—1461no—
1787C22—1461no—
1788C22—1461no—
1789C22C22×D4×D7311yescharacteristic
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—21no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—2921no—
1800C4—2921no—
1801C4—2921no—
1802C4—2921no—
1803C4—2921no—
1804C4—2921no—
1805C4—2921no—
1806C4—732no—
1807C4—1461no—
1808C4—1461no—
1809C4—1461no—
1810C4—1461no—
1811C4C2×#41×D7311yescharacteristic
1812C4H(5,𝔽2)×D7311yescharacteristic
1813C2—41no—
1814C2—41no—
1815C2—42no—
1816C2—81no—
1817C2—81no—
1818C2—2921no—
1819C2—2922no—
1820C2—2921no—
1821C2—1462no—
1822C2#546×D7311yescharacteristic
1823C2#2262469911yescharacteristic
1824C2#2262470411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3319C2
socleC22×C73C23×D4
hypercenter#3319D73
hypocenterC73#61169
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #22623642C2semidirect
2. #22623568C2semidirect
3. #22622093C2semidirect
4. #22622029C2semidirect
5. #22622023C2semidirect
6. #22621968C2semidirect
7. #22621966C2semidirect
8. #22621912C2semidirect
9. #22621902C2semidirect
10. #22621853C2semidirect
11. #22621852C2semidirect
12. #22621846C2semidirect
13. #22621845C2semidirect
14. #22621788C2semidirect
15. #22621785C2semidirect
16. #22621769C2semidirect
17. #22621766C2semidirect
18. #22620293C2semidirect
19. #22619895C2semidirect
20. #22619859C2semidirect
21. #22619755C2semidirect
22. #22619617C2semidirect
23. #22619510C2semidirect
24. #22619482C2semidirect
25. #22619230C2semidirect
26. #22619169C2semidirect
27. #22618760C2semidirect
28. #22618622C2semidirect
29. #22618456C2semidirect
30. #416×D73C2semidirect
31. C73×#3319C2semidirect
34. C2×#14556620C22semidirect
38. C22×C8×D73C22semidirect
39. #17989311C22semidirect
41. #17989305C22semidirect
42. #17989301C22semidirect
44. #17989289C22semidirect
45. #17989287C22semidirect
47. #17989277C22semidirect
48. #17989276C22semidirect
61. #17989214C22semidirect
72. #17989097C22semidirect
77. #17989066C22semidirect
79. #117×D73C22semidirect
80. #17988956C22semidirect
81. #17988954C22semidirect
82. #17988945C22semidirect
83. #17988941C22semidirect
84. #17988940C22semidirect
85. #17988939C22semidirect
86. #17988936C22semidirect
87. #17988931C22semidirect
88. #17988930C22semidirect
89. #17988930C22semidirect
90. #17988929C22semidirect
91. #17988928C22semidirect
92. #17988928C22semidirect
93. #17988927C22semidirect
94. #17988923C22semidirect
95. #17988921C22semidirect
96. #17988919C22semidirect
97. #17988915C22semidirect
98. #17988910C22semidirect
99. #17988909C22semidirect
100. #17988908C22semidirect
101. #17988890C22semidirect
102. #17988888C22semidirect
103. #17988887C22semidirect
104. #17988885C22semidirect
105. #17988875C22semidirect
106. #17988874C22semidirect
107. #17988866C22semidirect
108. #17988845C22semidirect
109. #17988844C22semidirect
110. #17988832C22semidirect
111. #17988829C22semidirect
112. #17988829C22semidirect
113. #17988828C22semidirect
114. #17988826C22semidirect
115. #17988820C22semidirect
116. #17988815C22semidirect
117. #17988815C22semidirect
118. #17988814C22semidirect
119. #17988814C22semidirect
120. #17988814C22semidirect
121. #17988813C22semidirect
122. #17988808C22semidirect
123. #17988806C22semidirect
124. #17988800C22semidirect
125. #17988798C22semidirect
126. #17988796C22semidirect
127. #17988792C22semidirect
128. #17988790C22semidirect
129. #17988752C22semidirect
130. #17988751C22semidirect
131. #17988751C22semidirect
132. #17988750C22semidirect
133. #17988750C22semidirect
134. #17988749C22semidirect
135. #17988739C22semidirect
136. #17988738C22semidirect
137. #17988731C22semidirect
138. #17988730C22semidirect
139. #17988730C22semidirect
140. #17988729C22semidirect
141. #17988729C22semidirect
142. #17988719C22semidirect
143. #17988696C22semidirect
144. #17988689C22semidirect
145. #17988684C22semidirect
146. #17988674C22semidirect
147. C4×#11924016C22semidirect
148. D8×Dic73C22semidirect
149. C4×#11924013C22semidirect
150. #17988660C22semidirect
151. #17988658C22semidirect
152. #17988656C22semidirect
153. D4×#10596831C22semidirect
154. #17988652C22semidirect
155. #17988650C22semidirect
156. #17988650C22semidirect
157. #17988628C22semidirect
158. #17988626C22semidirect
159. #17988624C22semidirect
160. #17988612C22semidirect
161. #17988594C22semidirect
163. #17988590C22semidirect
164. #17988589C22semidirect
167. #17988585C22semidirect
168. #17988584C22semidirect
169. #17988583C22semidirect
170. #17988582C22semidirect
171. #17988582C22semidirect
172. #17988581C22semidirect
173. #17988581C22semidirect
175. #17988580C22semidirect
176. #17988580C22semidirect
177. #17988580C22semidirect
178. #17988580C22semidirect
179. #103×D73C22semidirect
180. #103×D73C22semidirect
181. C2×#14556512C22semidirect
184. #102×D73C22semidirect
186. #17988549C22semidirect
187. #17988544C22semidirect
188. #555×C73C22semidirect
190. #489×C73C22semidirect
191. #485×C73C22semidirect
192. #482×C73C22semidirect
193. #474×C73C22semidirect
194. #468×C73C22semidirect
195. #466×C73C22semidirect
196. #463×C73C22semidirect
197. #449×C73C22semidirect
198. #447×C73C22semidirect
199. #442×C73C22semidirect
200. #435×C73C22semidirect
201. #418×C73C22semidirect
202. #416×C73C22semidirect
916. #3319D73semidirect
944. C73#61169semidirect
957. #555C2×D73semidirect
998. #489C2×D73semidirect
1010. #485C2×D73semidirect
1018. #482C2×D73semidirect
1026. #474C2×D73semidirect
1030. #468C2×D73semidirect
1036. #466C2×D73semidirect
1046. #463C2×D73semidirect
1064. #449C2×D73semidirect
1066. #447C2×D73semidirect
1068. #442C2×D73semidirect
1078. #435C2×D73semidirect
1090. #418C2×D73semidirect
1106. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226236422
#226235682
#226220932
#226220292
#226220232
#226219682
#226219662
#226219122
#226219022
#226218532
#226218522
#226218462
#226218452
#226217882
#226217852
#226217692
#226217662
#226202932
#226198952
#226198592
#226197552
#226196172
#226195102
#226194822
#226192302
#226191692
#226187602
#226186222
#226184562
#416×D732
C73×#33192
#6116973